#./PaperL10L26/compdata/L10L26compdata.txt

stdNKconfigs:=[ [ [ -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0, \
0, 1, -2, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 2, 2, -2 ] ], [ [ -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0\
, 0 ], [ 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, -2, 1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, \
1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0 ], [ 1, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2 ] ], [ [ -2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -2, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], \
[ 0, 0, 0, 0, 0, 1, -2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0\
, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 2, 2, 0, 2, 2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 2, 0, 2, 2, 2 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 0, 2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,\
 0, 2, 2, 2, 0, -2, 2, 2, 0, 2 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, -2, 0, 2, 2 ], [ 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2\
, 2, 2 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, -2, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, -2 ] ], [ [ -2, 0, 1\
, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, -2, 0, 1, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 1, 1, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 1, -2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 1, 1, 0, -2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 1, \
1, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 1, 1, 0, 0, 0, 0, 1, 1, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 1, 1, 0, -2, 0, 0, 0,\
 0, 0, 2, 0, 0, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 0, 0, 0, 1, 1 ], \
[ 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, -2, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 2, 0, 0, 0, 1, 1, -2, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, -2, 1, 1, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1\
, -2, 0, 1, 1 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, -2, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, -2 ] ], [ [ -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -2, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 2, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0,\
 0, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, -2, 0, 0\
, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 2, 0, 0, 2, 2, 2, 0\
, 2 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 0, 0, 0, 2, 2, 2 ], [ 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 2, 0, 2, 0, 2, 2 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 2, 0, 0, 2, 0, -2, 1, 1, 2, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, -2, 1, 1, 2, 1, 2 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, \
1, 1, -2, 1, 1, 2, 2 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, -2, 1, 1, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, -2, 1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2 ] ], [ [ -2, 1, 0, 0, 0, 1,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 2, 0, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 1\
, 0, 0, 0, 1, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 1, 0, 0, 1, 0, -2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, \
1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 2, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 1, 1, 0, 0, 0, 1, 1, 1, 1 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 0,\
 0, 2, 0, 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,\
 1, 1, 1, -2, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, -2, 1, 0, 1, 0 ], [ 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, 0, 1\
, 1 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, -2, 0 ], [ 2, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, -2 ] ], [ [ -2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0 ], [ 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 2 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0\
 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 1, \
-2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 0,\
 1, 0, 0, 0, 2, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, -2, 1, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 1, 1, 0, 0\
, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0 ], [ 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, \
2, 2, 2, 2 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2 ], [ 0, 0, 2,\
 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2 ], [ 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2 ] ] ];


GramL10:=[ [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1\
, -2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, \
-2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 ] ];


a10:=[ 115, 76, 153, 231, 195, 160, 126, 93, 61, 30 ];


Embs:=[ rec( GramL26 := [ [ 4, 4, 6, 11, 9, 8, 6, 5, 3, 2, 0, -1, -1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 4, 0, 5, 5, 6, 3, 4, 1, 2, -1, -1, 0, 1, -4\
, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 6, 5, 6, 14, 11, 9, 7, 6, 3, 2, 0, -1, -1, 1, -1, -1, -1, 1, 2, 1, -1, 0, 0, -2, -2, -2 ], [ 11, 5, 14, 18, 18, \
12, 11, 7, 5, 0, -1, 0, 1, -4, 0, 1, 1, 1, 1, 1, -2, -1, -1, 0, 0, 1 ], [ 9, 6, 11, 18, 14, 12, 10, 7, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -1, -2\
, 0 ], [ 8, 3, 9, 12, 12, 6, 7, 4, 3, -1, -1, 0, 1, -4, 0, 1, 1, 1, 2, 1, -2, 0, 0, -2, -1, 1 ], [ 6, 4, 7, 11, 10, 7, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 1, 1, -2, -2, -2, 0, 0, 0 ], [ 5, 1, 6, 7, 7, 4, 4, 0, 1, -1, -1, 0, 1, -4, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, -1, 1 ], [ 3, 2, 3, 5, 5, 3, 1, 1, -2, -1, 0, \
0, 0, 0, 0, 0, 0, 3, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 2, -1, 2, 0, 3, -1, 0, -1, -1, -4, -1, 0, 1, -4, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, 1, 1 ], [ 0, -1, 0, \
-1, 0, -1, 0, -1, 0, -1, -2, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, \
0, 0, 0, -2 ], [ -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, -2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 1, -4, 1, -4, 0, -4, 0, -4, 0, -4, -2, 0, 2, -8\
, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, 1, -1, 1, 0, 1, 0,\
 1, 0, 1, 0, -1, -1, 2, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, -1, 2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2 ]\
, [ 0, 0, 1, 1, 0, 1, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 2, 2, 0, 0, 0 ], [ 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 2, 0,\
 0, 2, 2, 0 ], [ 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 2, 2, 0, 0, 2, 0 ], [ 0, 0, -1, -2, 0, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0,\
 0, 2, 2, 2, -4, -2, -2, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, -2, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, -4, -2, 2, 0, 0 ], [ 0, 0, 0, -1, 1, 0, -2, 0, \
-2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, -4, 2, 2, 0 ], [ 0, 0, -2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, -4, -2, 0 ], [ 0, 0\
, -2, 0, -2, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, -2, -4, 0 ], [ -2, 1, -2, 1, 0, 1, 0, 1, 0, 1, 0, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, \
0, 0, 0, 0, -4 ] ], GramR := [ [ -56, -48, -80, -50, -56, -22, 18, -4, -2, 2, -14, -2, 2, 2, -2, 0 ], [ -48, -48, -72, -48, -54, -22, 20, -4, 0, 4, -16, 0\
, 4, 4, -2, 4 ], [ -80, -72, -120, -76, -82, -34, 28, -6, -2, 4, -22, -2, 4, 4, -6, 2 ], [ -50, -48, -76, -52, -54, -24, 18, -4, 0, 4, -16, 0, 4, 4, -4, 4\
 ], [ -56, -54, -82, -54, -64, -24, 22, -4, 0, 4, -16, 0, 4, 4, -2, 4 ], [ -22, -22, -34, -24, -24, -12, 8, -2, 0, 2, -8, 0, 2, 2, -2, 2 ], [ 18, 20, 28, \
18, 22, 8, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ -4, -4, -6, -4, -4, -2, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, -1, -2, -1, 0, -1, \
-1, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ -14, -16, -22, -16, -16, -8, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, \
0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, -2, 0, -1, -1, 2, -1, -1, -2\
, 0, -2 ], [ -2, -2, -6, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ 0, 4, 2, 4, 4, 2, -2, 0, -2, -2, 2, -2, -2, -2, 0, -4 ] ], NK := "I", NKisom := [ \
2, 11, 12, 10, 1, 8, 7, 6, 5, 4, 9, 3 ], No := 1, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0\
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projS := [ [ 10, 13/2, 25/2, 37/2, 31/2, 25/2, 19/2, 7, 9/2, 3 ], [ 13/2, 4, 8, 12, 10, 8, 6, 9/2, 3, 2 ], [ 12, 15/2, 15, 22, 37/2, 31/2, 12, 9, 6, 4 ], \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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[ "A1", "A1", "D8" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0,\
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1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ -8, 4, -4, 4, 0, 3, 0, 2, 11, -3, 1, 3, -2, -9, 3, \
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, -1, -4, -1 ], [ 0, 0, 0, 1, -2, 2, -1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 1, 0 ], [ 0, -1, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 2, -2, 2\
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 -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 1 ] ], rootsQ := [ [ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 2, 0, -1, -1, 0, 0, 0, 0\
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0\
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0 ], [ 2, 0, 0, -2, 2, -1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ) ], walls := [ [ 4, 2, 4, 6, 5, 4, 3, 2, 1, 0 ], [ 4, 3, 4, 7, 6, 5, 4, 3, 2, 1 ], [ 4, 1, 4, 7, 6, 5, 4, 3, 2,\
 1 ], [ 2, 2, 3, 4, 3, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0\
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 ] ], weyl := [ -6, 4, -4, 2, 2, 2, 0, 2, 10, -2, -1, -3, 2, 0, -3, -1, -2, -1, -9, -9, -16, -3, 0, -1, -9, 7 ], weylprime := [ -6, 3, -4, 2, 2, 2, 0, 3, \
10, -2, -1, -3, 2, 0, -3, -1, -2, -1, -9, -9, -16, -3, 0, -1, -9, 7 ] ), rec( GramL26 := [ [ 4, 4, 5, 11, 9, 8, 6, 4, 4, 1, 0, 0, -1, 2, -1, 0, 1, 0, -1, \
1, 1, 0, -1, -1, 1, -2 ], [ 4, 0, 6, 6, 6, 3, 2, 2, 1, 1, -2, -2, 0, -3, 0, -1, -2, 1, 1, -1, -1, -2, 2, 0, -2, 1 ], [ 5, 6, 4, 15, 12, 11, 9, 5, 7, 1, 1,\
 0, -4, 5, -2, 1, 2, 0, -3, 3, 3, 0, -3, -3, 3, -4 ], [ 11, 6, 15, 18, 17, 13, 12, 7, 6, 1, -2, -3, -1, -3, -1, -1, -4, 0, 1, 0, 0, 0, 0, 1, -2, 1 ], [ 9,\
 6, 12, 17, 14, 13, 10, 7, 5, 1, 0, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1, -1, 1, -1, 0 ], [ 8, 3, 11, 13, 13, 6, 7, 4, 4, 2, -3, -3, -2, -4, 0, 0, -5, 2, 1\
, 0, 0, -3, 2, -1, -1, 1 ], [ 6, 2, 9, 12, 10, 7, 2, 4, 1, 1, -2, -2, 1, -2, -1, -3, 0, 1, 0, -2, -2, -2, 2, 0, -2, 0 ], [ 4, 2, 5, 7, 7, 4, 4, 0, 3, -1, \
-2, -3, -3, -1, -2, -1, -3, 0, 0, 1, 1, -1, 0, -1, -1, -1 ], [ 4, 1, 7, 6, 5, 4, 1, 3, -2, 1, -1, 0, 4, -3, 1, -2, 0, 0, 2, -3, -3, 0, 2, 2, -2, 2 ], [ 1,\
 1, 1, 1, 1, 2, 1, -1, 1, -4, 0, -3, -2, 1, -4, -3, -1, -2, -1, 1, 0, 1, -2, 1, -1, -1 ], [ 0, -2, 1, -2, 0, -3, -2, -2, -1, 0, -6, -3, 1, -5, 1, -1, -4, \
2, 2, -2, 0, -2, 2, 0, -2, 0 ], [ 0, -2, 0, -3, -1, -3, -2, -3, 0, -3, -3, -6, -3, -3, -3, -3, -4, 0, 0, 0, 0, -2, 0, 0, -2, 0 ], [ -1, 0, -4, -1, 0, -2, \
1, -3, 4, -2, 1, -3, -10, 3, -3, 1, -2, 0, -4, 4, 4, -2, -2, -4, 2, -2 ], [ 2, -3, 5, -3, 0, -4, -2, -1, -3, 1, -5, -3, 3, -10, 3, -1, -6, 2, 4, -4, -2, -\
2, 4, 2, -4, 4 ], [ -1, 0, -2, -1, -1, 0, -1, -2, 1, -4, 1, -3, -3, 3, -6, -3, 0, -2, -2, 2, 0, 0, -2, 0, 0, -2 ], [ 0, -1, 1, -1, -1, 0, -3, -1, -2, -3, \
-1, -3, 1, -1, -3, -6, 0, -2, 0, -2, -2, 0, 0, 2, -2, 0 ], [ 1, -2, 2, -4, 0, -5, 0, -3, 0, -1, -4, -4, -2, -6, 0, 0, -8, 2, 2, 0, 0, -2, 2, 0, -2, 2 ], [\
 0, 1, 0, 0, -1, 2, 1, 0, 0, -2, 2, 0, 0, 2, -2, -2, 2, -4, 0, 0, 0, 2, -2, 2, 0, 0 ], [ -1, 1, -3, 1, 0, 1, 0, 0, 2, -1, 2, 0, -4, 4, -2, 0, 2, 0, -4, 2,\
 2, 0, -2, -2, 2, -2 ], [ 1, -1, 3, 0, 0, 0, -2, 1, -3, 1, -2, 0, 4, -4, 2, -2, 0, 0, 2, -4, -2, 0, 2, 2, -2, 2 ], [ 1, -1, 3, 0, 0, 0, -2, 1, -3, 0, 0, 0\
, 4, -2, 0, -2, 0, 0, 2, -2, -4, 0, 2, 2, -2, 2 ], [ 0, -2, 0, 0, 1, -3, -2, -1, 0, 1, -2, -2, -2, -2, 0, 0, -2, 2, 0, 0, 0, -4, 2, -2, 0, 0 ], [ -1, 2, -\
3, 0, -1, 2, 2, 0, 2, -2, 2, 0, -2, 4, -2, 0, 2, -2, -2, 2, 2, 2, -4, 0, 2, -2 ], [ -1, 0, -3, 1, 1, -1, 0, -1, 2, 1, 0, 0, -4, 2, 0, 2, 0, 2, -2, 2, 2, -\
2, 0, -4, 2, -2 ], [ 1, -2, 3, -2, -1, -1, -2, -1, -2, -1, -2, -2, 2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 2, 2, -4, 2 ], [ -2, 1, -4, 1, 0, 1, 0, -1, 2, -1, 0\
, 0, -2, 4, -2, 0, 2, 0, -2, 2, 2, 0, -2, -2, 2, -4 ] ], GramR := [ [ -32, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ 27, -28, -43, -9, -21, \
-17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, -9, -14, -6, -6, -5, -1, \
-2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, -17, -26, -5, -12, -14, -1, -6, -6, -2, -6\
, 0, -4, -4, 4, -4 ], [ 2, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ 6, -1\
4, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 2, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ 8, -8, -12, -2, -6, -6, 0, -4, \
-4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, -8, -14, -2, -6, -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6,\
 -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2,\
 0, -2, -2, 2, -4 ] ], NK := "II", NKisom := [ 1, 9, 7, 2, 3, 5, 10, 6, 4, 12, 11, 8 ], No := 2, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0\
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ootstypeR := [ "A7" ], volindex := 3870720, wallrecs := [ rec( GramQ := [ [ -58, -94, -39, -61, -13, -30, -23, -1, -20, -21, -7, -10, 3, -11, -5, 8, -12 ]\
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2, -2, 0, 0, 2, 1, 1, -2, -5, 3, 1, -1, 3, 0 ], [ -1, 0, 1, 0, 0, 0, 0, -1, -2, 1, 2, -2, 2, 2, 0, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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 -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, 39, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, 11, -9, -14, -6, -6, -5, \
-1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, 13, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, 17, -17, -26, -5, -12, -14, -1, -6\
, -6, -2, -6, 0, -4, -4, 4, -4 ], [ 2, 3, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 3, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0\
, 0, -4 ], [ 6, 2, -14, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 2, 1, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ 8, 7, -\
8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, -2, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, 6, -8, -14, -2, -6, -4, 0, -4, -\
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8, 8, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, \
-4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 6, 2, -2 ], [ 0, 0, 0, 0, 0, 6, -8, 0, 2 ], [\
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, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 1, 2, 0, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ]\
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6, 2, -6, 2, 2, -4, 4, -6, 23, 0, -13, 2, -14, -15, 1, -1, 18, 3, -2, -7, -37, 11, -3, 4, 10, 0 ], embQ := [ [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 1, \
1 ], [ 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, \
1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0,\
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1, 0, 0, 0 ], [ 0, 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 0, -1,\
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[ 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -1\
, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A7" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde\
 := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 12, 0, -6, 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -3, -3, 6, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, -4, -4, 0, 0, 4, 0\
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0, -11, -1, -11, -11, 0, 0, 11, 0, 0, -12, -34, 12, -5, -6, 12, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 20, 0, -10, 0, -10, -10, 0, 0, 10, 0, 0, -10, -30, 10, -5, \
-5, 10, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 15, 0, -7, -1, -7, -7, 0, 0, 7, 0, 0, -8, -22, 8, -3, -4, 8, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 17, 0, -8, 0, -8, -8, \
0, 0, 8, 1, 0, -8, -24, 8, -4, -3, 9, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 8, 0, -3, -1, -3, -3, 0, 0, 3, 0, 1, -4, -10, 4, -1, -2, 5, 1 ], [ 0, 0, 0, 0, 0, 0,\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 1, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
-2, -2, 2, 1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, -1, 0, 2, 2, 1, 4, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0\
, 1, 0, 0, -1, -1, -1, -3, 1, 0, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 4, 0, -1, -1, -2, -2, 0, 0, 2, 1, 1, -2, -5, 3, 0, -1, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, 0, 0, -1, 0, 0, 0, 4, 0, 2, 0, 0, 0 ], [ 0,\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -1, -6, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0,\
 0, -2, -5, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 -32, -1, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ -1, -4, 2, 6, 0, 2, 0, 0, 2, 2, 2, 0, -3, 2, -2, 1, 0 ], [ 27, 2, -28, -43, -9, -21, -17\
, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, 6, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, 0, -9, -14, -6, -6, -5, -\
1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, 2, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, 0, -17, -26, -5, -12, -14, -1, -6, -\
6, -2, -6, 0, -4, -4, 4, -4 ], [ 2, 0, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 2, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0\
, -4 ], [ 6, 2, -14, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 2, 2, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ 8, 0, -8, \
-12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, -3, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, 2, -8, -14, -2, -6, -4, 0, -4, -4, \
-2, -2, 2, -4, 0, 2, -2 ], [ 6, -2, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, 1, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, \
0, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4,\
 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 8, -2, 0, 0, 0 ], [ 0, 0, 0, 8, -12, 4, 0, 0, 0 ], [ 0, 0, 0, -2, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ \
0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, -1,\
 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ],\
 [ 0, 0, 0, 0, 1, -1, 1, 1, 2, 0, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ] ], adjweyl := [ 6, \
2, -6, 4, -2, -4, 6, -4, 21, 0, -13, 2, -14, -15, 1, -1, 16, 2, -3, -7, -37, 10, -2, 3, 9, -2 ], embQ := [ [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1\
, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -\
3, 0, -1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, -1, 1, -1, -1, 0, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 -1, -1, 2, -1 ], [ -1, 2, -3, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 1, 2, -1, 2 ], [ 2, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 1, 1, -1, 1, -1, 3, -1 ], [ 0, 0, 0, 2, 0, -6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 1, -1, 0, -3, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 2, 2, 2, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -2, -2, -1, 0, 2, 1, 1 ], [ 1, 0\
, -1, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0,\
 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0,\
 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0 ] ], rootsQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1\
, 0, -1, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, -1, 0, 1, 0\
, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, 0, 0, -1\
, -1 ], [ 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, -1\
, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0\
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 -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, \
-1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 1, 1, 2, 0, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -2, 0, 2, 2, 1, 0,\
 0, 1, 2 ], [ 0, 0, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 1, \
1, 1, 0, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0\
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0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 1, -1, -1,\
 0, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 1, 0, 1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -2 ], [ 0, \
0, -1, 0, -1, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 2 ], [ 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, 2, 2, 0, 0, 1, 0, 1 ], [ 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, -2, -2, 0,\
 0, -1, 0, -1 ], [ 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, -1, 0, 0, 1, \
0, -1, -1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 2, -1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 1 \
], [ 0, 0, 0, 0, 1, -2, 1, 1, 1, 1, -1, -1, 0, 1, 0, 0, -1 ], [ 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0 ], [ 0, 0, 1, 0, -1, 1, 0, -1, 0, -1, \
-1, -1, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, \
0 ], [ 0, 0, 1, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 1, -1, 0, 0, -\
1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A7" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [\
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1, 0, 0, 0, 0, 0, 0, 0, 12, 0, -6, 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -3, -3, 6, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4,\
 -12, 3, -3, -2, 3, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -4, -4, 8, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 23, 0, -11, \
-1, -11, -11, 0, 0, 11, 0, 0, -12, -34, 11, -6, -6, 11, 0 ], [ 0, 0, 0, 1, -1, 1, 0, 0, 20, 0, -10, 0, -10, -10, 0, 0, 9, 0, 0, -10, -30, 9, -5, -5, 10, 0\
 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 15, 0, -7, -1, -7, -7, 0, 0, 7, 0, 0, -8, -22, 7, -4, -4, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0\
, 0, -8, -24, 7, -5, -4, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 3, -2, -2, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0\
, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 4, -2, -2, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, -1, -1, -1, 0, 0, 1, 0, 0, -2, -4, 1, -1, -1, 1, 0 ], [ 0,\
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, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, -1, 0, 2, 2, 1, 4, -1, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 1, 0\
, 0, -1, -1, -1, -3, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, \
0, -1, -1, -2, -2, 0, 0, 2, 1, 1, -2, -5, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, 0, 0, -1, 0, 0, 0, 4, -1, 1, 0, -1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -1, -6, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0,\
 -2, -5, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ \
[ -32, 0, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ 0, -4, -2, -4, -1, -4, -1, 0, -4, -4, -1, 0, 0, 0, 0, -2, -1 ], [ 27, -2, -28, -43, -9, \
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 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, -1, -2, -2, 0, 0, 2, 1, 1, -2, -5, 3, 0, -1, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, 0, 0, -1, 0, \
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 0, 0 ] ] ), rec( GramQ := [ [ -22, 18, 26, 5, 11, 11, -1, 6, 6, -1, 0, 6, 0, 6, 6, -6, 6 ], [ 18, -20, -29, -5, -17, -11, 1, -13, -14, 0, -2, -6, 0, -6, \
-4, 4, -6 ], [ 26, -29, -48, -8, -26, -16, 0, -20, -20, -2, -4, -8, 2, -10, -4, 4, -8 ], [ 5, -5, -8, -6, -6, -3, -3, -2, -2, -4, 2, 0, -2, 0, -2, 0, -2 ]\
, [ 11, -17, -26, -6, -22, -10, -2, -17, -18, -4, -2, -4, -2, -4, -2, 0, -4 ], [ 11, -11, -16, -3, -10, -10, -1, -6, -6, -2, 0, -4, -2, -2, -4, 2, -2 ], [\
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8, -6, 2, -18, -20, 0, -4, -4, 0, -4, 0, 0, -4 ], [ -1, 0, -2, -4, -4, -2, -6, 0, 0, -8, 2, 2, -2, 2, 0, -2, 2 ], [ 0, -2, -4, 2, -2, 0, 2, -4, -4, 2, -4,\
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, -2, 0, 2, 0, 2, 2, -4, 2 ], [ 6, -6, -8, -2, -4, -2, 2, -4, -4, 2, 0, -2, 0, -2, -2, 2, -4 ] ], GramQperp := [ [ -8, 0, 4, 2, 0, 0, 0, -2, -2 ], [ 0, -4\
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[ 0, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, -1, 1, 1 ], [ 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 1, 0, -1, 0, 0, -1, -1, 0, 1, \
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 [ 0, 1, 0, -1, 0, -1, -1, 0, -1, 2, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 1, 0, 1, -2, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, -1, 0, \
1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1,\
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"A7" ], theg := [ [ 3, 2, 4, 5, 4, 3, 2, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -4, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, -3, -1, -3, -3, 0, 0, 3, 0, 0, -1, -7, 4, 1, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, -1, -2, -2, 0, 1, 2, -1, -1, \
-1, -6, 3, 1, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, -1, -2, -2, 0, 0, 2, 0, 0, -1, -5, 4, 2, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1\
, -1, -1, -1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, -1, -2, -2, 1, 0, 2, -1, -1, 0, -6, 3, 1, 0, 3, -1 ], [ 0, 0, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 3, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
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, -1, -6, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -2, -5, 2, -1, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -32, 45, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ 4\
5, -78, -44, -72, -15, -31, -27, -3, -17, -18, -8, -12, 7, -14, -4, 9, -12 ], [ 27, -44, -28, -43, -9, -21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ],\
 [ 42, -72, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, -15, -9, -14, -6, -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [\
 16, -31, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, -27, -17, -26, -5, -12, -14, -1, -6, -6, -2, -6, 0, -4, -4, 4, -4 ], [ 2,\
 -3, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, -17, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ 6, -18, -14, -20, -2, \
-18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 2, -8, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ 8, -12, -8, -12, -2, -6, -6, 0, -4, -4,\
 0, -4, 0, -2, -2, 2, -2 ], [ -2, 7, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, -14, -8, -14, -2, -6, -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ],\
 [ 6, -4, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, 9, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, -12, -8, -12, -4, -6, -4, \
0, -4, -4, 0, -2, 0, -2, -2, 2, -4 ] ], GramQperp := [ [ -8, 0, 4, -2, 2, 2, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 6, -2, -2, 0, 0, 0 ], \
[ -2, 0, 6, -8, 4, 2, 0, 0, 0 ], [ 2, 0, -2, 4, -4, 0, 0, 0, 0 ], [ 2, 0, -2, 2, 0, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, \
-4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 1, 1, 0, -1, 0, -1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 0 ], [ 1, 1, 1, 0, -1, 0, -1, -1, 0, -1, 0, 0,\
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 1, 2, 0, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 \
], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 ] ], adjweyl := [ 8, 2, -8, 4, 2, -\
8, 6, -4, 23, 0, -15, 2, -16, -17, 1, -1, 20, 2, -3, -7, -41, 14, -3, 4, 9, -2 ], embQ := [ [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,\
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 0, 0, 0, 0, 0, 2, 0, -6, 4, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, -2, -2, -1, 0, 3, 3, 3 ], [ 1, 0, -1, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, \
0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ] ], r := [ 3, 2, 5, 7, 6, 5, 3, 3, 2, 1 ], rlifts := \
[ [ 1, 1, -1, 0, 0, -1, 2, -1, 1, 0, -1, 0, -1, -1, 0, 0, 2, 0, -1, -1, -3, 0, 1, 1, 0, -1 ], [ 1, 1, -1, 0, 0, -1, 2, -1, 1, 0, -1, 0, -1, -1, 0, 0, 2, 1\
, -1, -1, -3, 0, 0, 1, 0, 0 ] ], rootsQ := [ [ -1, -1, -1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, -1, -1, 0, 1 ], [ 1, 1, 1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, 1, \
1, 0, -1 ], [ -1, -1, -1, 0, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0 ], [ 1, 1, 1, 0, -1, 0, -1, -1, 0, -1, 1, -1, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, -1, 1, \
0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 2 ], [ 0, 0, 1, 0, 1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -2 ], [ 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, 2, 2, 0, 0, 1, 0, 1 ], [\
 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, -2, -2, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -2, 0, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 1, 1, 2, 0, -2,\
 -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, \
-1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 1, 0, 0,\
 0, 0, 1 ], [ 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 2, -1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -2, 1\
, 1, 1, 1, -1, -1, 0, 1, 0, 0, -1 ], [ 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, -1 ], \
[ 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1,\
 -1, 0, -1, 1, 1, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, 1, 1,\
 0, 1, 1, 0, 0 ], [ 0, 0, 1, 0, -1, 1, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ],\
 [ 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0,\
 0, -1, 0, 1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, \
0, 1, 0, 0, 1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0,\
 -1, -1 ], [ 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 0, 1, -1, 1, 0\
, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0\
, -1, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, -1,\
 -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, \
-1, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A7" ], theg := [ [ 4, 2, 5, 7, 6, 5, 3, 3, 2, 1 ], [ 3, 3, 5, 7, 6, 5, 3, 3, 2, 1 ], [ -3, -2, -4, -7,\
 -6, -5, -3, -3, -2, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -3, -2, -5, -7, -6, -4, -3, -3, -2, -1 ], [ 6, 4, 10, 14,\
 12, 10, 7, 6, 4, 2 ], [ -3, -2, -5, -7, -6, -5, -3, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ \
10, 9, -9, 0, 0, -9, 18, -9, 21, 0, -15, 0, -15, -15, 0, 0, 24, 4, -9, -15, -45, 6, 2, 6, 6, -5 ], [ 6, 7, -6, 0, 0, -6, 12, -6, 14, 0, -10, 0, -10, -10, \
0, 0, 16, 3, -6, -10, -30, 4, 1, 4, 4, -3 ], [ 13, 13, -12, 0, 0, -13, 26, -13, 29, 0, -21, 0, -21, -21, 0, 0, 34, 6, -13, -21, -63, 8, 3, 9, 8, -7 ], [ 1\
9, 19, -19, 1, 0, -19, 38, -19, 42, 0, -30, -1, -30, -30, 0, 0, 49, 10, -19, -31, -91, 12, 4, 13, 12, -9 ], [ 16, 16, -16, 0, 1, -16, 32, -16, 36, 0, -26,\
 0, -26, -26, 0, 0, 42, 8, -16, -26, -78, 10, 3, 11, 10, -8 ], [ 13, 13, -13, 0, 0, -12, 26, -13, 28, 0, -20, -1, -20, -20, 0, 0, 33, 7, -13, -21, -61, 8,\
 3, 9, 8, -6 ], [ 11, 11, -11, 0, 0, -11, 23, -11, 27, 0, -19, 0, -19, -19, 0, 0, 30, 5, -11, -19, -57, 8, 2, 7, 8, -6 ], [ 7, 7, -7, 0, 0, -7, 14, -6, 14\
, 0, -10, -1, -10, -10, 0, 0, 17, 3, -7, -11, -31, 4, 3, 5, 4, -4 ], [ 6, 6, -6, 0, 0, -6, 12, -6, 15, 0, -10, 0, -10, -10, 0, 0, 16, 3, -6, -10, -30, 4, \
1, 4, 4, -3 ], [ 3, 3, -3, 0, 0, -3, 6, -3, 6, 1, -4, -1, -4, -4, 0, 0, 7, 1, -3, -5, -13, 2, 2, 2, 2, -2 ], [ 2, 2, -2, 0, 0, -2, 4, -2, 4, 0, -2, -1, -2\
, -2, 0, 1, 4, 0, -3, -4, -9, 1, 1, 1, 1, -1 ], [ 2, 2, -2, 0, 0, -2, 4, -2, 4, 0, -2, -1, -2, -2, 0, 0, 4, 1, -2, -4, -8, 2, 2, 1, 2, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, -1, 0, 2, 2, 1, 4, 0, 1, 1, 0, 1 ], [ 2, 2, -2, 0, 0, -2, 4, -2, 4, 0, -2, -1, -2, -2, 1, 0, 4, 1, -3, -3, -9, 1, 0, 1\
, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1, 1, 1, 2, 0, 1, 0 ], [ 2, 2, -2, 0, 0, -2, 4, -2, 6, 0, -3, -1, -4, -4, 0, 0, 6,\
 1, -1, -4, -11, 3, 2, 1, 3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, 0, 0, -1, 1, 0, 0, 4, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -2, 0, 0, -2, 4\
, -2, 6, 0, -4, 0, -4, -4, 0, 0, 6, 1, -2, -3, -12, 2, 0, 1, 2, -1 ], [ 2, 2, -2, 0, 0, -2, 4, -2, 6, 0, -4, 0, -4, -4, 0, 0, 6, 1, -2, -4, -11, 2, 0, 1, \
2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ] ] ) ], walls := [ [ 2, 1, 2, 3, 3, 3, 2, 2,\
 1, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 2, 2, 2, 1, 0, 0, 0 ], [ 2, 2, 4, 5, 4, 3, 2, 1, 0, 0 ], [ 2, 2, 4, 5, 5, 5, 4, 3, 2\
, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 5, 7, 6, 5, 3, 3, 2, 1 ] ], weyl := [ 6, 2, -6, 2, 2, -6, 6, -4, 5, 0, -5, -2, -4, -3, -1, 1, 8, 2, -3, -\
3, -11, 5, 4, 6, 2, 0 ], weylprime := [ 12, 4, -12, 4, 4, -12, 12, -8, 10, 0, -10, -4, -8, -6, -2, 2, 16, 4, -6, -5, -22, 10, 8, 12, 4, 0 ] ), rec( GramL2\
6 := [ [ 4, 2, 7, 9, 9, 7, 5, 4, 3, 0, 0, 0, 0, 0, 0, -2, -1, -1, -1, 0, 0, 0, 0, 0, 0, -2 ], [ 2, -14, 2, -7, 5, -14, 1, -13, -3, -13, -1, -2, -3, -3, -1\
2, -16, -15, -1, -9, -4, -2, -1, -3, -5, -4, -3 ], [ 7, 2, 8, 12, 12, 6, 8, 2, 3, -1, 0, 0, 0, 0, -3, -3, -3, 0, -2, -1, 0, 0, -1, -2, -1, 0 ], [ 9, -7, 1\
2, 8, 17, -1, 9, -4, 2, -9, -1, -2, -3, -3, -10, -14, -13, -1, -7, -3, -2, -2, -2, -4, -2, -3 ], [ 9, 5, 12, 17, 14, 11, 10, 6, 4, 1, 0, 0, 0, 0, -2, -2, \
-2, 0, -1, -1, -2, -1, 1, 0, 0, 0 ], [ 7, -14, 6, -1, 11, -16, 6, -17, -3, -16, -1, -2, -3, -3, -18, -20, -20, 0, -12, -7, -3, -1, -4, -8, -6, -1 ], [ 5, \
1, 8, 9, 10, 6, 4, 4, 3, 0, 0, -1, -1, -2, 0, -2, -1, -1, -1, 0, 0, 0, 0, 0, 0, -2 ], [ 4, -13, 2, -4, 6, -17, 4, -20, -5, -17, 0, 0, 0, 0, -18, -20, -20,\
 0, -12, -7, -3, -1, -4, -8, -6, -1 ], [ 3, -3, 3, 2, 4, -3, 3, -5, -2, -5, 0, 0, 0, 0, -6, -6, -6, 0, -4, -2, -2, -1, -1, -2, -2, 0 ], [ 0, -13, -1, -9, \
1, -16, 0, -17, -5, -16, 0, 0, 0, 0, -14, -18, -17, -1, -10, -5, -3, -2, -2, -6, -4, -3 ], [ 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 0, -2, 0, -2, -1, 0, 0, 0, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -3, 0, -3, 0, -3, -1, 0, 0, 0, -2,\
 -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -3, 0, -3, 0, -3, -2, 0, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -12, -3, \
-10, -2, -18, 0, -18, -6, -14, 0, 0, 0, 0, -16, -16, -16, 0, -9, -6, -4, -2, -2, -6, -4, 0 ], [ -2, -16, -3, -14, -2, -20, -2, -20, -6, -18, 0, 0, 0, 0, -\
16, -22, -20, -1, -11, -6, -4, -2, -2, -6, -4, -4 ], [ -1, -15, -3, -13, -2, -20, -1, -20, -6, -17, 0, 0, 0, 0, -16, -20, -20, 0, -10, -6, -4, -2, -2, -6,\
 -4, -2 ], [ -1, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, 0, -2 ], [ -1, -9, -2, -7, -1, -12, -1, -12, -4, -10, 0, 0, 0\
, 0, -9, -11, -10, -1, -8, -4, -2, 0, -2, -4, -4, -2 ], [ 0, -4, -1, -3, -1, -7, 0, -7, -2, -5, 0, 0, 0, 0, -6, -6, -6, 0, -4, -4, -2, 0, 0, -2, -2, 0 ], \
[ 0, -2, 0, -2, -2, -3, 0, -3, -2, -3, 0, 0, 0, 0, -4, -4, -4, 0, -2, -2, -4, -2, 2, 0, 0, 0 ], [ 0, -1, 0, -2, -1, -1, 0, -1, -1, -2, 0, 0, 0, 0, -2, -2,\
 -2, 0, 0, 0, -2, -4, 2, 0, 2, 0 ], [ 0, -3, -1, -2, 1, -4, 0, -4, -1, -2, 0, 0, 0, 0, -2, -2, -2, 0, -2, 0, 2, 2, -4, -2, -2, 0 ], [ 0, -5, -2, -4, 0, -8\
, 0, -8, -2, -6, 0, 0, 0, 0, -6, -6, -6, 0, -4, -2, 0, 0, -2, -4, -2, 0 ], [ 0, -4, -1, -2, 0, -6, 0, -6, -2, -4, 0, 0, 0, 0, -4, -4, -4, 0, -4, -2, 0, 2,\
 -2, -2, -4, 0 ], [ -2, -3, 0, -3, 0, -1, -2, -1, 0, -3, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, 0, 0, 0, 0, -4 ] ], GramR := [ [ -88, -118, -14, -144, -2, -\
4, -6, -6, -4, -12, -10, -2, -22, -30, 8, -6 ], [ -118, -172, -16, -200, -4, -8, -12, -12, -7, -21, -18, -3, -26, -34, 8, -10 ], [ -14, -16, -4, -22, 0, 0\
, 0, 0, 0, 0, 0, 0, -4, -6, 2, 0 ], [ -144, -200, -22, -240, -4, -8, -12, -12, -7, -21, -18, -3, -34, -46, 12, -10 ], [ -2, -4, 0, -4, -2, -1, -2, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ -4, -8, 0, -8, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0, -12, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0\
, -12, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -7, 0, -7, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ -12, -21, 0, -21, 0, 0, 0, 0, -4, -10, -8, \
-1, -3, -2, -2, -4 ], [ -10, -18, 0, -18, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -2, -3, 0, -3, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -22, -\
26, -4, -34, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -30, -34, -6, -46, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 8, 8, 2, 12, 0, 0, 0, 0, -2\
, -2, -2, 0, 2, 4, -4, 0 ], [ -6, -10, 0, -10, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], NK := "V", NKisom := [ 14, 3, 6, 12, 15, 11, 8, 4, 5, 19, 16, \
2, 10, 7, 13, 18, 20, 17, 1, 9 ], No := 3, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0,\
 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 1, -1, -1, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 3/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -3/2 ], [ 0, 0, 0,\
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-2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 2, -2, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, \
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0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 0, 2 ], [ 0\
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erp := [ [ -2, -2, 2, -2, 0, 2, 4, -2, -2, 0, 0, 0, 1, -1, 0, 0, 2, 0, -2, 0, 2, 4, 4, 0, 4, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 1, 1, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, 1, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 1, 0, -1, 0, 0 ], [ 1, 0, 0,\
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0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "D4", "D6" ], theg := [ [ 5, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -18, -16, -13, -8, -6, -4, -2 \
], [ 8, 6, 12, 18, 16, 14, 9, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde\
 := [ [ 5, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, -7 ], [ 3, 1, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 2, -1, 0, 0, 2, 0, -1, 4,\
 1, 4, 4, 4, 4, -5 ], [ 6, 0, 1, 0, 0, -12, 12, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, -9 ], [ 9, 0, 0, 1, 0, -18, 18, 0, 0, 0, 0, 0, 8, -1\
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gma := [ [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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6, -16, 6, 18, 1, 1, 6, -1, 3, -2, 5, -1, -7, 14, 2, 6, 15, 10, 8, -17 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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 0 ], [ 8, 6, 12, 18, 16, 14, 10, 8, 4, 1 ] ], thegtilde := [ [ 5, 0, 0, 0, 0, -4, 4, -4, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, -8 ], [ 3, 1,\
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g := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
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, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 4, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 5, 4, 2, 0 ],\
 [ 4, 3, 6, 9, 8, 7, 6, 5, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 6, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 5, 5, 5, 4, 3, 2, 1 ] ], weyl := [ 8, 2,\
 2, -4, 2, -6, 8, -8, 6, 2, -1, -1, 6, 1, -3, 2, 9, 1, -5, 4, 0, 4, 5, 8, 6, -9 ], weylprime := [ 8, 2, 2, -4, 2, -6, 8, -8, 6, 2, -2, -1, 6, 1, -3, 2, 9,\
 1, -5, 4, 0, 4, 5, 8, 6, -9 ] ), rec( GramL26 := [ [ 4, 3, 7, 10, 8, 7, 6, 3, 3, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 3, -2, 4, \
4, 3, -1, 2, 0, 1, -1, -1, -1, -1, -2, -3, -3, -4, 0, 1, 1, -2, 1, -1, -1, -2, -1 ], [ 7, 4, 8, 14, 10, 7, 6, 5, 3, 2, -1, 0, 0, 0, -2, -2, -1, 0, 1, 1, -\
1, 1, -1, -2, -1, 0 ], [ 10, 4, 14, 18, 17, 12, 12, 7, 6, 1, 0, -1, -1, -2, -1, -1, -3, 0, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 8, 3, 10, 17, 8, 3, 5, 3, 3, 1, -\
3, -1, -1, -1, -6, -6, -4, 0, 3, 3, -4, 3, -2, -4, -4, -2 ], [ 7, -1, 7, 12, 3, -8, 1, 0, 3, 1, -1, -1, -1, -5, -8, -8, -11, 3, 6, 6, -6, 6, -2, -6, -6, -\
1 ], [ 6, 2, 6, 12, 5, 1, 0, 2, -1, 1, -4, 0, 0, 1, -6, -6, -1, -1, 2, 2, -2, 2, -4, -4, -4, 0 ], [ 3, 0, 5, 7, 3, 0, 2, -2, 1, -2, -3, -2, -2, -3, -4, -4\
, -2, 0, 1, 1, -2, 2, -1, -2, -2, -3 ], [ 3, 1, 3, 6, 3, 3, -1, 1, -4, -1, -5, 0, 0, 3, -4, -4, 3, -3, 0, -1, 0, -1, -4, -2, -2, 0 ], [ 0, -1, 2, 1, 1, 1,\
 1, -2, -1, -4, -3, -2, -2, -2, -2, -2, 1, -1, 0, -1, 0, -1, -1, 0, 0, -3 ], [ -1, -1, -1, 0, -3, -1, -4, -3, -5, -3, -8, -1, -1, 2, -5, -5, 4, -3, 0, -2,\
 0, 0, -4, -2, -2, -2 ], [ -1, -1, 0, -1, -1, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, -1, 0, -1, -1, -1, 0, -2, 0\
, -2, -1, -1, -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, -2, 0, -2, -1, -5, 1, -3, 3, -2, 2, -2, -2, -8, 0, 0, -4, 4, 2, 2, 0, 2, 2, 0, 0, -2 \
], [ -1, -3, -2, -1, -6, -8, -6, -4, -4, -2, -5, -1, -1, 0, -8, -7, -2, -1, 2, 2, -2, 2, -4, -4, -4, -2 ], [ -1, -3, -2, -1, -6, -8, -6, -4, -4, -2, -5, -\
1, -1, 0, -7, -8, -2, -1, 2, 2, -2, 2, -4, -4, -4, -2 ], [ 0, -4, -1, -3, -4, -11, -1, -2, 3, 1, 4, 0, 0, -4, -2, -2, -12, 4, 4, 4, -4, 4, 2, -2, -2, 0 ],\
 [ 0, 0, 0, 0, 0, 3, -1, 0, -3, -1, -3, 0, 0, 4, -1, -1, 4, -4, -2, -2, 0, -2, -2, 0, 0, 0 ], [ 0, 1, 1, 0, 3, 6, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 4, -2, -4,\
 -2, 2, -2, 0, 2, 2, 0 ], [ 0, 1, 1, 0, 3, 6, 2, 1, -1, -1, -2, 0, 0, 2, 2, 2, 4, -2, -2, -4, 2, -2, 0, 2, 2, 0 ], [ 0, -2, -1, -1, -4, -6, -2, -2, 0, 0, \
0, 0, 0, 0, -2, -2, -4, 0, 2, 2, -4, 2, 0, -2, -2, 0 ], [ 0, 1, 1, 0, 3, 6, 2, 2, -1, -1, 0, 0, 0, 2, 2, 2, 4, -2, -2, -2, 2, -4, 0, 2, 2, 0 ], [ 0, -1, -\
1, 0, -2, -2, -4, -1, -4, -1, -4, 0, 0, 2, -4, -4, 2, -2, 0, 0, 0, 0, -4, -2, -2, 0 ], [ 0, -1, -2, 0, -4, -6, -4, -2, -2, 0, -2, 0, 0, 0, -4, -4, -2, 0, \
2, 2, -2, 2, -2, -4, -2, 0 ], [ 0, -2, -1, 0, -4, -6, -4, -2, -2, 0, -2, 0, 0, 0, -4, -4, -2, 0, 2, 2, -2, 2, -2, -2, -4, 0 ], [ -2, -1, 0, -1, -2, -1, 0,\
 -3, 0, -3, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramR := [ [ -4, -9, -5, -5, -3, -9, -1, -1, -1, 0, -3, -3, -1, -2, -4, -2 ], [ -9,\
 -60, -36, -28, -13, -68, -5, -4, -4, -2, -7, -7, -6, -8, -10, -4 ], [ -5, -36, -24, -18, -9, -42, -3, -2, -2, 0, -3, -3, -4, -4, -4, -2 ], [ -5, -28, -18\
, -16, -7, -30, -3, -2, -2, -2, -3, -3, -2, -4, -4, -2 ], [ -3, -13, -9, -7, -6, -17, -2, -1, -1, 2, -2, -2, -3, -2, -2, -2 ], [ -9, -68, -42, -30, -17, -\
84, -5, -4, -4, 2, -7, -7, -10, -8, -10, -4 ], [ -1, -5, -3, -3, -2, -5, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -1, -2, -1, -2,\
 -1, -1, 0, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 0, -2, 0, -2, 2, 2, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -3, -\
7, -3, -3, -2, -7, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -3, -7, -3, -3, -2, -7, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -1, -6, -4, -2, -3, -10, \
-1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, -8, -4, -4, -2, -8, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -10, -4, -4, -2, -10, 0, 0, 0, 2, -4, -4, -2, \
-4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, -2, -2, -2, -2, -2, -2, 0, 0, 0, -4 ] ], NK := "III", NKisom := [ 13, 4, 15, 16, 6, 14, 10, 9, 3, 2, 5, 8, 7, 1, 18\
, 20, 19, 11, 12, 17 ], No := 4, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0\
, 0, 1, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0 ], [ -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, \
0, -1/2, 0, 1/2, 0 ], [ 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2, -1/2 ], [ -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2, \
1/2 ], [ -1/2, 0, -1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 1/2 ], [ 1/2, 0, 1/2, -1, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, -1/2 ], [ 0, -1/2, 1\
, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0 ], [ 0, 1/2, -1, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0 ], [ 0, 1, -1/2, 0, 0, -1/2, 0, 0, 0, -1/2, \
0, 0, 0, -1/2, -1/2, 0 ], [ 0, -1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0 ], [ 1/2, -1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 1/2, -1/2, \
0 ], [ -1/2, 1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 1/2, 0 ], [ -1/2, 1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0 ], [ 1/2, -1/2, \
0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0 ], [ 0, -1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0 ], [ 0, 1, -1/2, 0, 0, -1/2, 0, 0, 0, -1/2\
, 0, 0, 0, -1/2, 0, 0 ], [ 0, 1/2, -1, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, -1/2, 0 ], [ 0, -1/2, 1, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0 ],\
 [ 1/2, 0, 1/2, -1, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2, -1/2 ], [ -1/2, 0, -1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2, 1/2 ], [ -1/2, 0, 0,\
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 0, 0, 0, -1/2, 0, 0, 0 ], [ 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1/2, \
-1/2 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 1/2, 0, 0, 0, -1/2, 0, 0, 0, \
0, 0, 0, 0, 1/2, -1/2, 0, 0 ], [ -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0 ], [ 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2 \
], [ -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2 ], [ -1/2, 0, -1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1, 1/2, 1/2 ], [ 1/2, 0, 1/2, -1\
, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1, -1/2, -1/2 ], [ 0, -1/2, 1, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2, 0 ], [ 0, 1/2, -1, 1/2, 0, 0, 0, 0, 0, -1/2, 0,\
 0, 0, 0, -1/2, 0 ], [ 0, 1, -1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, -1, 0, 0 ], [ 0, -1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1, 0, 0 ], [ 1/2, -1/2,\
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0 ], [ 0, 1, -1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2, 0 ], [ 0, 1/2, -1, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1, 0, 0 ], [ 0, -1/2, 1, -1/2, 0, 0\
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, 0, 1/2 ], [ -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1, 1/2, 1/2 ], [ 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1, -1/2, -1/2 ], [ -1/2,\
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1/2, 0, 0, 1/2, 1/2, -1/2, -1/2 ], [ -1, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2, 1/2, 1/2 ], [ 0, 0, -1/2, 1, -1, 0, 0, 0, 0, -1/2, 0, 0, 1/2, -\
1/2, 0, 1/2 ], [ 0, 0, 1/2, -1, 1, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 0, -1/2 ], [ 1/2, -1/2, 1, -1/2, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0 ], [ -1/\
2, 1/2, -1, 1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2, 0, 0 ], [ 1/2, 1, -1/2, 0, -1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, -1/2, 0 ], [ -1/2, -1, 1/\
2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 1/2, 0 ], [ 1, -1/2, 0, 0, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0 ], [ -1, 1/2, 0, 0, 1, -1/2, 0, 0, 0,\
 0, 0, 0, 0, -1/2, 1/2, 0 ], [ 0, 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, 0 ], [ 0, -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1, 1/2, 0, 0 ], [ 1/2\
, -1, 1/2, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0 ], [ -1/2, 1, -1/2, 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2, 0, 0 ], [ 1/2, 1/2, -1, 1/2\
, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, -1/2, 0 ], [ -1/2, -1/2, 1, -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 1/2, 0 ], [ 1, 0, 1/2, -1, 0, 0, 0, 0,\
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2, -1/2, 0, 1/2 ], [ 0, 0, 0, -1/2, 1, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 0, -1/2 ], [ 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1/2, \
-1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, -1/2, 1, -1, 1/2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1/2 ], [ -1/2, 1/2, -1, 1, -1/2, 0, 0, 0, 0, -1, 0, 0,\
 0, -1, 0, 1/2 ], [ 1/2, 1, -1/2, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ -1/2, -1, 1/2, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2\
 ], [ 1, -1/2, 0, -1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 1, -1/2, -1/2 ], [ -1, 1/2, 0, 1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, -1, 1/2, 1/2 ], [ -1/2, -\
1/2, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 1/2, 1/2, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ -1/2, 1, -1, 1, -1/2, \
-1/2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1/2 ], [ 1/2, -1, 1, -1, 1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1/2 ], [ 0, -1/2, -1/2, 1, -1, 1/2, 0, 0, 0, -1/2, 0, 0,\
 -1/2, 0, 0, 1/2 ], [ 0, 1/2, 1/2, -1, 1, -1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, -1/2 ], [ 0, 1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
-1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, -1, 1, -1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 1, 0, 0 ], [ -1/2, 1, -1, 1/2, 1/2, -1/2\
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "D4", "D5" ], theg := [ [ -1, -1, -2, -3, -2, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -4, -7, -7, -5, -3, -9, -1, -1, -1, 0, -3, -3, -1, -2, -2, -4, -2 ], [ -\
7, -52, -37, -26, -12, -63, -5, -4, -4, -4, -5, -5, -4, -2, -6, -6, -4 ], [ -7, -37, -30, -20, -10, -47, -3, -2, -2, 0, -5, -5, -4, -3, -6, -8, -2 ], [ -5\
, -26, -20, -16, -7, -30, -3, -2, -2, -2, -3, -3, -2, -2, -4, -4, -2 ], [ -3, -12, -10, -7, -6, -17, -2, -1, -1, 2, -2, -2, -3, -1, -2, -2, -2 ], [ -9, -6\
3, -47, -30, -17, -84, -5, -4, -4, 0, -7, -7, -8, -3, -8, -10, -4 ], [ -1, -5, -3, -3, -2, -5, -4, -1, -1, 0, -1, -1, -1, 0, -2, 0, -2 ], [ -1, -4, -2, -2\
, -1, -4, -1, -2, -1, -2, -1, -1, 0, 0, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -1, -1, -2, -2, -1, -1, 0, 0, 0, 0, -2 ], [ 0, -4, 0, -2, 2, 0, 0, -2, -2, -\
8, 0, 0, 4, 2, 2, 2, -2 ], [ -3, -5, -5, -3, -2, -7, -1, -1, -1, 0, -4, -3, -1, -2, -2, -4, -2 ], [ -3, -5, -5, -3, -2, -7, -1, -1, -1, 0, -3, -4, -1, -2,\
 -2, -4, -2 ], [ -1, -4, -4, -2, -3, -8, -1, 0, 0, 4, -1, -1, -4, -2, -2, -2, 0 ], [ -2, -2, -3, -2, -1, -3, 0, 0, 0, 2, -2, -2, -2, -4, -2, -4, 0 ], [ -2\
, -6, -6, -4, -2, -8, -2, 0, 0, 2, -2, -2, -2, -2, -4, -4, 0 ], [ -4, -6, -8, -4, -2, -10, 0, 0, 0, 2, -4, -4, -2, -4, -4, -8, 0 ], [ -2, -4, -2, -2, -2, \
-4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, 0, -4, 2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0,\
 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 2, 4, -2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 0, 0, 4, 2, -8, 4, 2 ], [ 2, 0, 0, 0, -2,\
 0, 4, -4, 0 ], [ 2, 0, 0, 0, -2, 0, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0\
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1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "D4", "D5" ], theg := [ [ -7, -5, -10, -15, -14, -1\
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30, 52, -1, -2, -2, -20, -1, -1, 16, 0, 0, -2 ], [ -2, -77, -58, -43, -18, -87, 20, -1, -1, -1, -7, -1, -1, 6, 0, 0, -2 ], [ -4, -428, -317, -230, -87, -4\
84, 110, 0, -4, -4, -43, -2, -2, 35, 2, 0, -4 ], [ -1, 96, 73, 52, 20, 110, -28, -1, 0, 0, 9, -1, -1, -9, -2, -2, 0 ], [ -1, -1, 0, -1, -1, 0, -1, -4, -1,\
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2, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 4, 2, 4, -6, 2, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 2, -4, 6, -2, 0, 0 ], [ 2, 0, 2, -4, 2\
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eyl := [ -6, 3, 3, 3, -3, -6, 8, 2, 3, 2, -2, -3, -4, 1, 4, 3, -4, -8, 0, -1, 6, -2, -9, -3, -3, 1 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
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9, -10, -7, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, -5, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
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 1 ] ], embQperp := [ [ -1, 0, 1, 1, -3, 3, -2, 2, -2, 0, 0, 0, 0, -3, 0, 0, -2, 1, -3, -1, -2, 0, 0, 0, 0, 1 ], [ -1, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, -1, -1, 1, 1, -2, 2, -2, 1, 0, 1, 0, 0, 2, -1, -1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1 ], [ 1, 1, -1, -1, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, -1, 1, -1, 1, -2, 2, 0, 1, 0, 0, 2, -1, -1, 2, 0, 3, 0, 2, 0, 0, 0, 0, 1 ], [ 0\
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2, -1, -2, 0, 0, 2 ], [ -1, 0, 0, 0, 1, 0, -1, 2, -3, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, -2, 1, 1, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 2\
, 0, 0, 0, 0, 0, 1, 2, 1, 1, -1, -1, 2 ] ], r := [ 4, 2, 4, 7, 6, 6, 4, 3, 2, 1 ], rlifts := [ [ -1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 1, 0, 0, 0, 1, 1 ], [ 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 0, 1, 0\
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 -1, -1, 2 ] ], r := [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0 ]\
, [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1 \
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0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, \
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 "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, \
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1, 1, 2, 1, 0, 1, 0 ], [ 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 3, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -\
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ts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, \
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 ], [ 0, 0, 0, 0, 0, 0, 0, 8, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, \
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] ], adjweyl := [ -6, 2, 2, 2, -1, -4, 5, 4, 0, 4, -2, -3, -4, -1, 4, 3, -4, -7, 0, -1, 3, -1, -7, -3, -3, -2 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0\
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, 1 ] ], embQperp := [ [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, -1, -1, 0, 0, 1, 1, 2 ], [ -1, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0,\
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0, -1, 0, 2, 2, 3, 3, -1, -1, 2 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], rlifts := [ [ -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0,\
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eQ := [ "A1", "A1", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
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1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ], thegtilde := [ [ -2, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, \
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0, 0, -1 ] ] ), rec( GramQ := [ [ -20, -106, -88, -69, -37, -127, -17, 2, 3, 3, 10, -2, -2, -5, -4, -8, 4 ], [ -106, -648, -539, -416, -219, -783, -103, 1\
3, 20, 20, 58, -1, -1, -30, -20, -34, 32 ], [ -88, -539, -454, -350, -185, -653, -88, 12, 18, 18, 50, 2, 2, -24, -14, -24, 28 ], [ -69, -416, -350, -272, \
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2, 0, 0, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 GramQ := [ [ -4, -7, -5, -7, -5, -9, -1, -1, -1, -2, -3, -3, -3, -2, -2, -4, -2 ], [ -7, -46, -29, -28, -14, -53, -5, -4, -4, -7, -5, -5, -7, -6, -5, -6,\
 -4 ], [ -5, -29, -20, -19, -10, -34, -3, -2, -2, -3, -3, -3, -5, -4, -3, -4, -2 ], [ -7, -28, -19, -22, -12, -33, -3, -2, -2, -5, -5, -5, -7, -6, -5, -8,\
 -2 ], [ -5, -14, -10, -12, -10, -20, -2, -1, -1, 0, -4, -4, -7, -4, -4, -6, -2 ], [ -9, -53, -34, -33, -20, -68, -5, -4, -4, -5, -7, -7, -13, -8, -7, -10\
, -4 ], [ -1, -5, -3, -3, -2, -5, -4, -1, -1, 0, -1, -1, -1, -2, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -1, -2, -1, -2, -1, -1, 0, 0, 0, 0, -2 ], [ -1, -4,\
 -2, -2, -1, -4, -1, -1, -2, -2, -1, -1, 0, 0, 0, 0, -2 ], [ -2, -7, -3, -5, 0, -5, 0, -2, -2, -8, -2, -2, 2, 0, 0, -2, -2 ], [ -3, -5, -3, -5, -4, -7, -1\
, -1, -1, -2, -4, -3, -3, -2, -2, -4, -2 ], [ -3, -5, -3, -5, -4, -7, -1, -1, -1, -2, -3, -4, -3, -2, -2, -4, -2 ], [ -3, -7, -5, -7, -7, -13, -1, 0, 0, 2\
, -3, -3, -8, -4, -4, -6, 0 ], [ -2, -6, -4, -6, -4, -8, -2, 0, 0, 0, -2, -2, -4, -4, -2, -4, 0 ], [ -2, -5, -3, -5, -4, -7, 0, 0, 0, 0, -2, -2, -4, -2, -\
4, -4, 0 ], [ -4, -6, -4, -8, -6, -10, 0, 0, 0, -2, -4, -4, -6, -4, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -4 ] ], Gra\
mQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 8, -2, 0, 0, 0 ], [ 0, 0, 0, 8,\
 -12, 4, 0, 0, 0 ], [ 0, 0, 0, -2, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sig\
ma := [ [ -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1\
, 1, 0, 0, 1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, \
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] ), rec( GramQ := [ [ -58, -138, -81, -227, -122, -207, -57, -4, -1, -1, 10, 0, 0, -11, -2, -2, -2 ], [ -138, -346, -201, -558, -297, -511, -142, -10, -2\
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8, 0 ], [ -2, -2, 0, -2, -2, -2, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ]\
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2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, -2, 0 ], [ 0, 1, 0,\
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 ] ] ), rec( GramQ := [ [ -4, 10, 5, 1, 1, 16, 3, -1, -1, -8, 1, 1, 7, 2, 2, 4, -2 ], [ 10, -150, -90, -54, -33, -200, -33, -4, -4, 46, -16, -16, -54, -17\
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-4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, -2, 4, 0, 0, 0, 0, 0, 0 ], [ -2, -8, 8, -2, 0, 0, 0, 0, 0 ], [ 4, 8, -12, 4, 0, 0, 0,\
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, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, -1, -1, 0, 0, 1, 1, 2 ], [ -2, -2, 2, 1, 0, -1, 0, 0, 0,\
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, [ 0, 0, 0, 0, -1, 2, -2, 2, -1, 0, -1, 0, 0, -2, 1, 1, -2, 0, -2, 0, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2,\
 1, 2, -1, -2, 0, 0, 2 ], [ -1, 0, 0, 0, 1, 0, -1, 2, -3, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, -2, 1, 1, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, \
0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, -1, -1, 2 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0\
, 1, 1, 1, 1, 1, -1, 1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, -1, -1, 1, -1, 0 ] ], rootsQ := [ [ 0, -2, 1, 0, 0, 1,\
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[ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
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0, 0 ] ], rootstypeQ := [ "A1", "A1", "D4", "D4" ], theg := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0\
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3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, -2, 0, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0, -1, 1, \
0, 0 ], [ -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, \
1, 1, 1, 1, 0, 0, 0 ], [ -1, -2, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -4, -3, -2, -2, -3, -3, -3, -1, -1, -1, 0, -3, -3, -1, -2, -4, -2 ], [ -3, -244, -118, -130, 1\
3, -212, 118, 3, -4, -4, -34, -3, -3, 26, 4, 2, -4 ], [ -2, -118, -60, -64, 4, -104, 54, 1, -2, -2, -16, -1, -1, 12, 2, 2, -2 ], [ -2, -130, -64, -72, 6, \
-112, 64, 1, -2, -2, -18, -1, -1, 14, 2, 2, -2 ], [ -3, 13, 4, 6, -6, 9, -13, -2, -1, -1, 2, -2, -2, -3, -2, -2, -2 ], [ -3, -212, -104, -112, 9, -188, 98\
, 3, -4, -4, -30, -3, -3, 22, 4, 2, -4 ], [ -3, 118, 54, 64, -13, 98, -72, -4, 0, 0, 16, -2, -2, -16, -6, -6, 0 ], [ -1, 3, 1, 1, -2, 3, -4, -4, -1, -1, 0\
, -1, -1, -1, -2, 0, -2 ], [ -1, -4, -2, -2, -1, -4, 0, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, 0, -1, -1, -2, -2, -1, -1, 0, 0, \
0, -2 ], [ 0, -34, -16, -18, 2, -30, 16, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -3, -3, -1, -1, -2, -3, -2, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -3, \
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, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 0, 2, 0, 6, -2, 0, 0 ], [ -8, -20, 2, 0, 0, 12, -4, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4,\
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 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, -3, 1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1\
 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1,\
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0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 10, 2, 2, -2, -12, 14, 2, 11, 2, -10, -3, -\
4, 1, 12, 11, -12, -30, 8, 7, 21, -2, -20, -8, -8, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0 ], [ 0,\
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heg := [ [ 7, 3, 8, 13, 12, 11, 8, 6, 4, 2 ], [ 12, 7, 16, 26, 24, 22, 16, 12, 8, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -12, -6, -16, -26, -24, -21, -16, -12, -8, -4 ], [ 6, 3, 8, 13, 12, 11, 9, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 10, 0, 0, 0, -10, 12, 0, 10, 0, -10, 0, 0, 0, 10, 10, -10, -\
30, 10, 10, 20, 0, -16, -6, -6, -5 ], [ -1, 6, 0, 0, 0, -5, 6, 0, 5, 0, -4, 0, 0, -1, 5, 4, -5, -16, 5, 4, 10, 0, -8, -3, -3, -2 ], [ -2, 14, 1, 0, 0, -14\
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9, 18, 38, 0, -30, -11, -11, -8 ], [ -2, 18, 0, 0, 1, -18, 20, 0, 18, 0, -18, 0, 0, 0, 18, 18, -18, -54, 18, 18, 36, 0, -28, -10, -10, -9 ], [ -1, 15, 0, \
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1, -2 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, -3, 0, 0, 0, 2, 2, -2, -6, 2, 4, 4, 0, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
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1, -2, -2, 2, 4, -2, -2, -4, 0, 3, 1, 1, 1 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, 0, 0, 3, 2, -2, -6, 2, 2, 4, 0, -3, -1, -1, -2 ], [ 0, 2, 0, 0, 0, -\
2, 2, 0, 2, 0, -2, 0, 0, 0, 2, 1, -2, -6, 2, 2, 4, 0, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0 ], \
[ 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, 0, 0, 2, 2, -2, -5, 2, 2, 4, 0, -3, -1, -1, -1 ], [ 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 2, 0, 0, 0, -2, -2, 2, 6, -1,\
 -2, -4, 0, 3, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 ) ], walls := [ [ 2, 1, 2, 3, 2, 1, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 2, 2, 2, 1, 0, 0 ], [ 8, 5, 10, 15, 14, 13, 10, 6, 4, 2 ], [ 8, 5, 10, 15, 14, 13, 10, 7,\
 4, 1 ], [ 4, 2, 4, 7, 6, 6, 4, 3, 2, 1 ], [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0\
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, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 1, 0 ], [ 4, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], [ 4, 3, 6, \
9, 8, 8, 6, 4, 2, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 8, 13, 12, 11, 8, 6, 4, 2 ] ], weyl := [ 1, 2, 2, 2, -2, -4, 0, 2, 3, 2, -6, 3, 4, -5, 4,\
 5, -4, -12, 0, 3, 5, -2, -4, 0, 0, -4 ], weylprime := [ 2, 4, 4, 4, -4, -8, 0, 4, 6, 4, -12, 6, 8, -10, 8, 10, -8, -24, 0, 7, 10, -4, -8, 0, 0, -8 ] ), r\
ec( GramL26 := [ [ 4, 4, 7, 11, 8, 8, 5, 5, 2, 1, -1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 4, 0, 4, 4, 6, 2, 4, 1, 2, 0, 0, 0, 0, -3, -4, \
1, 0, 0, 0, 1, 0, 1, 1, -1, -1, 1 ], [ 7, 4, 8, 12, 11, 8, 7, 5, 3, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 1, -1, -2, 0 ], [ 11, 4, 12, 14, 16, 8, 10, \
5, 4, 2, -2, 0, 0, -5, -6, 1, 0, 0, 0, 3, 0, 3, 3, -4, -4, 1 ], [ 8, 6, 11, 16, 12, 10, 7, 6, 2, 1, -3, -1, -2, -1, 0, -1, -1, -1, -1, 1, 1, 1, 0, -2, -2,\
 -2 ], [ 8, 2, 8, 8, 10, 2, 5, 1, 1, 0, -3, -2, -1, -5, -6, 1, 0, -1, -1, 3, 1, 3, 2, -4, -4, 1 ], [ 5, 4, 7, 10, 7, 5, 2, 2, -1, 0, -4, -2, -2, -1, 0, -1\
, -1, -1, -1, 1, 0, 1, 0, -2, -2, -2 ], [ 5, 1, 5, 5, 6, 1, 2, -2, -1, -1, -3, -2, -1, -3, -4, 1, 0, -1, -1, 0, 0, 1, 0, -2, -2, 1 ], [ 2, 2, 3, 4, 2, 1, \
-1, -1, -4, -1, -5, -2, -2, -1, 0, -1, -1, -1, -2, 0, 0, 1, 0, -2, -2, -2 ], [ 1, 0, 2, 2, 1, 0, 0, -1, -1, -4, -2, -2, -3, -2, -2, 0, -1, -3, -2, 0, 2, 0\
, -2, 0, 0, -1 ], [ -1, 0, -1, -2, -3, -3, -4, -3, -5, -2, -6, -2, -2, -1, 0, -1, -1, -2, -2, 0, 0, 1, 0, -2, -2, -2 ], [ 0, 0, 0, 0, -1, -2, -2, -2, -2, \
-2, -2, -4, -2, 0, 0, 0, 0, -2, -2, 0, 2, 0, -2, 0, 0, 0 ], [ -1, 0, 0, 0, -2, -1, -2, -1, -2, -3, -2, -2, -4, -1, 0, -1, -1, -2, -2, 0, 2, 0, -2, 0, 0, -\
2 ], [ 0, -3, -1, -5, -1, -5, -1, -3, -1, -2, -1, 0, -1, -6, -6, 1, -1, 0, 0, 2, 0, 2, 2, -2, -2, 0 ], [ 1, -4, -1, -6, 0, -6, 0, -4, 0, -2, 0, 0, 0, -6, \
-8, 2, 0, 0, 0, 2, 0, 2, 2, -2, -2, 2 ], [ -1, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 1, 2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, 0, 0, 0, -1, 0, \
-1, 0, -1, -1, -1, 0, -1, -1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, -1, -1, -1, -1, -1, -3, -2, -2, -2, 0, 0, 0, 0, -4, -2, 0, 2, 0, -2, \
0, 0, 0 ], [ 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -4, 0, 2, 0, -2, 0, 0, 0 ], [ 0, 1, 1, 3, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0,\
 0, 0, 0, -4, 0, -2, -2, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, -4, 0, 2, 0, 0, 0 ], [ 0, 1, 1, 3, 1, 3, 1, 1, 1, 0, 1, \
0, 0, 2, 2, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, 0 ], [ 0, 1, 1, 3, 0, 2, 0, 0, 0, -2, 0, -2, -2, 2, 2, 0, 0, -2, -2, -2, 2, -2, -4, 2, 2, 0 ], [ 0, -1, -1, -\
4, -2, -4, -2, -2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 2, 2, -4, -2, 0 ], [ 0, -1, -2, -4, -2, -4, -2, -2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 2, \
0, 2, 2, -2, -4, 0 ], [ -2, 1, 0, 1, -2, 1, -2, 1, -2, -1, -2, 0, -2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramR := [ [ -18, -15, -28, -11, -17, \
-8, -5, 2, 3, 2, 0, -2, 2, 2, 0, 4 ], [ -15, -22, -29, -16, -26, -11, -13, -5, -1, 1, -4, -7, 3, 1, -1, 4 ], [ -28, -29, -54, -19, -37, -20, -13, 4, 1, 4,\
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 0, 0, -1 ] ] ), rec( GramQ := [ [ -18, -15, -28, -11, -23, -12, -7, 2, 3, 2, 0, -2, 2, 2, 0, 2, 4 ], [ -15, -22, -29, -16, -29, -13, -14, -5, -1, 1, -4, \
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, 1, 4 ], [ -23, -29, -43, -23, -56, -29, -24, -3, 0, 3, -4, -9, 5, 3, -1, 4, 8 ], [ -12, -13, -24, -9, -29, -18, -11, 2, -1, 2, 0, -2, 2, 2, 0, 2, 4 ], [\
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 0, 0, 0, 0, -2, 0 ], [ 4, 4, 8, 4, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0\
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 -1 ], [ 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, -1, 0\
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], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 8, -2, 0, 0, 0 ], [ 0, 0,\
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tstypeR := [ "A3", "A4" ], volindex := 60480, wallrecs := [ rec( GramQ := [ [ -18, -43, -34, -65, -1, -4, -5, 10, 10, -16, 20, 5, 6, -4, 24, 6, -2 ], [ -4\
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2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0,\
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A1", "A3", "A4" ], theg := [ [ -1, -1, -2, -3, -2, -1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, \
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Q := [ [ -232, -104, -156, -306, -2, 18, 18, -40, -34, 54, -74, -16, -16, 14, -90, -16, -6 ], [ -104, -50, -69, -139, -2, 8, 8, -20, -16, 23, -36, -8, -8,\
 6, -41, -9, -4 ], [ -156, -69, -108, -207, 0, 12, 12, -26, -22, 38, -48, -10, -10, 8, -60, -10, -2 ], [ -306, -139, -207, -408, -2, 24, 24, -54, -46, 73,\
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 2, 0 ], [ 18, 8, 12, 24, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ -40, -20, -26, -54, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -34, \
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100, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ -16, -8, -10, -22, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -16, -8, -10, -22, 0, 0\
, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ 14, 6, 8, 18, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -90, -41, -60, -121, 0, 8, 8, -16, -16, 24, -32\
, -8, -8, 8, -40, -8, 0 ], [ -16, -9, -10, -23, 0, 2, 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ -6, -4, -2, -6, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, \
-4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -4, 4, -4, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 2, 4, -4, 4, -2 ],\
 [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 4, 2, -8, 6, -4, 2 ], [ 4, 0, 0, -4, 0, 6, -8, 6, -2 ], [ -4, 0, 0, 4, 0, -4, 6, -8, 4 ], [ 2, 0, 0, -2, 0, 2\
, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, \
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, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1\
, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 5, 3, 2, -5, 2, -4, 6, -4, 2, 6, 2, 3, 2, -1, -1, 2, 3,\
 1, -1, -5, -4, -1, -6, -3, -11, -6 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, -2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -5, -5, 0 ], [ 0, 1, 0, 0, 0, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 1, 0, 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1, 0, \
-1, -1, 1, -1, -1, 1, -3, 0, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0, 1, 0 ], [ 2, -1, 1, -3, 2, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, -1, 3, -1, 0 ], [ 0, 0, 0, 2\
, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -1, -2, 0, 1, -2, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, 0, 4, 0, 2, 1, 1, 2, 0, 0, 0, \
0, 3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -4, 0, -1, 0, -1, -1, 1, -1, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0\
, 1, 3, 1, -1, 3, -1, -1, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, -1, 0, -2, 0, 0, 0 ] ], r := [ 2, 1, 2, 3, 3, 3, 2, 2, 1\
, 0 ], rlifts := [ [ 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1 ], [ -1, 0, 0, 1, 0, -1, 1, -1, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0\
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 -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 2, -1, 0, 0, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1\
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 -4, 0, 0, -4, -4, -2 ], [ 0, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 2, 2, 0, 2, 4, 2 ], [ 0, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, -2, 0, 0, -2, -2, -2 ], [ 0, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -2, -2, -1 ], [ 0, 2, 2, -2, 0, 0, 0\
, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, -2, -2, -1 ], [ 0, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1 ], [ 0,\
 4, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -4, -4, -2 ], [ 0, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0\
, -2, -2, -1 ], [ 0, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1 ], [ 0, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 0, 3, 2, 1 ], [ 0, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -22, -6, -33, 2, -3, -3, 7, 8, -4, 15, 5, 5, -3, 14, 7, -3, 2 ], [ -6, -4, -12, 0, -2,\
 -2, 2, 4, -4, 6, 2, 2, -2, 8, 2, -2, 0 ], [ -33, -12, -60, 4, -7, -7, 13, 16, -10, 29, 9, 9, -7, 30, 11, -7, 6 ], [ 2, 0, 4, -2, 0, 0, -1, 0, -2, -1, 0, \
0, 0, 0, 0, 0, -2 ], [ -3, -2, -7, 0, -4, -1, 1, 3, -2, 4, 2, 0, -2, 6, 2, -2, 0 ], [ -3, -2, -7, 0, -1, -4, 1, 3, -2, 4, 0, 2, -2, 6, 2, -2, 0 ], [ 7, 2,\
 13, -1, 1, 1, -6, -3, 4, -8, -2, -2, 0, -6, -2, 0, -2 ], [ 8, 4, 16, 0, 3, 3, -3, -8, 6, -10, -4, -4, 4, -12, -4, 4, 0 ], [ -4, -4, -10, -2, -2, -2, 4, 6\
, -12, 10, 4, 4, -2, 12, 2, -2, -2 ], [ 15, 6, 29, -1, 4, 4, -8, -10, 10, -18, -6, -6, 4, -18, -6, 4, -2 ], [ 5, 2, 9, 0, 2, 0, -2, -4, 4, -6, -4, -2, 2, \
-6, -2, 2, 0 ], [ 5, 2, 9, 0, 0, 2, -2, -4, 4, -6, -2, -4, 2, -6, -2, 2, 0 ], [ -3, -2, -7, 0, -2, -2, 0, 4, -2, 4, 2, 2, -4, 6, 2, -2, 0 ], [ 14, 8, 30, \
0, 6, 6, -6, -12, 12, -18, -6, -6, 6, -24, -6, 6, 0 ], [ 7, 2, 11, 0, 2, 2, -2, -4, 2, -6, -2, -2, 2, -6, -4, 2, 0 ], [ -3, -2, -7, 0, -2, -2, 0, 4, -2, 4\
, 2, 2, -2, 6, 2, -4, 0 ], [ 2, 0, 6, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, -12, 4, 0, 0,\
 0, 0, 0, 0 ], [ 2, 4, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, \
0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1\
, -1 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -1, -1\
, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -2, -1 ], [ 0, 0, 0,\
 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ] ], adjweyl := [ 6, 1, 1, -5, 2, -2, 4, -2, 1, 4, 2, 3, 2, -1, -1, 2, 3, 1, -1, -3, -2, 0, -4, -2, -8, -5 ], embQ := [ [ 1, 0, 2, -2, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, -2, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ -3, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -2, -1, -1, -2, -1, 0 ], [ -2, 1, -3, 3, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, \
-2, -2, 0, -2, -2, 0, 2, 0 ], [ 2, -1, 1, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -2, 0, -2, -2, -1, -2, 0, 1, -2, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, -1, 1, 0, -2, 1, -1, 2 ], [ 0, 0, 0, 0, 0, 2\
, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, 0, 1, 1, 0, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, -1, 1, 0, -2, -1 ], \
[ 1, 1, 0, -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, -1, 0, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1,\
 0, 2, -1, 1, 1 ] ], r := [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1 ],\
 [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, -1 ] ], rootsQ := [ [ 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1,\
 1, 1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 2, -1, 0, 0, 0, 0, 0\
, -1, 0, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1 ], [\
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, 0, -1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, \
0, -1, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, \
0, 0, -2, -1, -1, 1, 0, -1, 1, 2, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 2, 1, 1, -1, 0, 1, -1, -2, -2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, -2, -1, 1, 0, -1, 2, 1, \
2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 2, 1, -1, 0, 1, -2, -1, -2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1\
, 2, -1, 0, 0, -1, -1, -2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, -1, -1, 2, 0, -1, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -\
2, -1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 1, 0, 0, -1\
, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1\
, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, \
-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1 ], [ 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, -3, 2, 0, 0, 0, 0, 0, 1, \
-1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, -1, 2, 1, 2, 0, 0, 2, 2, \
2, 1 ], [ 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ \
0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, \
1, 1, 1 ], [ 0, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -40, -18, -66, -1, 2, -6, -6, 16, 14, -16, 30, 8, 8, -6, 32, 10, 2 ], [ -18, -12, -34, 0, 0, -4, -4, \
8, 8, -12, 16, 4, 4, -4, 20, 4, 0 ], [ -66, -34, -120, -6, 4, -12, -12, 30, 26, -32, 56, 14, 14, -12, 62, 16, 6 ], [ -1, 0, -6, -6, 2, -1, 0, 2, 0, 2, 2, \
0, -1, 0, 1, 0, 4 ], [ 2, 0, 4, 2, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2 ], [ -6, -4, -12, -1, 0, -4, -1, 3, 3, -4, 6, 2, 0, -2, 8, 2, 0 ], [ -6, -4,\
 -12, 0, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ 16, 8, 30, 2, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ 14, 8, 26, 0, 0, 3, 3, -7, -\
8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ -16, -12, -32, 2, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ 30, 16, 56, 2, -1, 6, 6, -16, -14, 20, -30,\
 -8, -8, 6, -32, -8, -2 ], [ 8, 4, 14, 0, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ 8, 4, 14, -1, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], \
[ -6, -4, -12, 0, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ 32, 20, 62, 1, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ 10, 4, 16, 0, 0, 2,\
 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ 2, 0, 6, 4, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0\
 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -8, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 8, -12 ] ], Sigma := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0\
, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, -1,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -40, -18, -66, 8, 2, -6, -6, 16, 14, -16, 30, 8, 8, -6, 32, 10, 2 ], [ -18, -12, -34, 4, 0, -4, -4\
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0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 6, 2, 2, -6, 2, 0, 2, -4, 3, 4, 2, 3, 2, -1, -1, 2, 3, 0, 0, -1, -2, 0, -2, -2, -8, -7 ], embQ := [ [ 1, 0, 2,\
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0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -2, -1, -1, -2, -1, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0\
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2, 0, -2 ], [ -1, -1, 0, 1, 2, -4, 2, -2, 3, -2, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, 2, 0, 0, 1, -1, 2 ], [ 1, 1, 0, -1, 0, 2, -4, 4, -3, 2, 0, 0, 0, 0, 0, -4, \
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bQperp := [ [ -3, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -2, -1, -1, -2, -1, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1\
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0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
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1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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= [ [ -52, -27, -24, -37, -6, 4, 4, -14, -10, 8, -24, -6, -6, 6, -24, -4, -10 ], [ -27, -18, -16, -20, -4, 1, 1, -7, -4, 0, -11, -3, -3, 2, -8, -3, -6 ], \
[ -24, -16, -24, -10, -4, -2, -2, 0, 2, -8, 2, 0, 0, 0, 6, 2, -6 ], [ -37, -20, -10, -34, -4, 5, 5, -15, -12, 12, -27, -7, -7, 6, -28, -7, -6 ], [ -6, -4,\
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0, 2, -2, 8, 2, 0 ], [ -14, -7, 0, -15, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -10, -4, 2, -12, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16,\
 -4, 0 ], [ 8, 0, -8, 12, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -24, -11, 2, -27, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [\
 -6, -3, 0, -7, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -6, -3, 0, -7, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ 6, 2, 0, 6, 0, -2, -2, \
2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -24, -8, 6, -28, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ -4, -3, 2, -7, 0, 2, 2, -4, -4, 4, -8, -2, -2,\
 2, -8, -4, 0 ], [ -10, -6, -6, -6, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0,\
 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 8, -2, 0, 0, 0 ], [ 0, 0, 0, 8, -12, 4, 0, 0, 0 ], [ 0, 0, 0, -2, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, \
0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ \
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, -1, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0,\
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], adjweyl := [ 6, 2, 2, -4, -2, 0, 4, -2, 1, 4, 2, 3, 2, -1, -1, 0, 3, -1, -3, -4, -4, 0, -3, -4, -8, -7 ], embQ := [ [ 1, 0, 2, 0, -4, 2, 0, 0, 1, 0, 0,\
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perp := [ [ -3, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -2, -1, -1, -2, -1, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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1 ], [ 1, 1, 0, -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, -1, 0, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, \
2, 1, 0, 2, -1, 1, 1 ] ], r := [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, -\
1, 0, -1 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, 0, 1, -1, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0,\
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 -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -\
1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [\
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0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
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 ], [ 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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= [ [ -52, -17, -46, -69, 6, 2, 2, -4, -6, 22, -10, -4, -4, 2, -14, 0, 6 ], [ -17, -8, -17, -25, 2, 0, 0, -2, -2, 7, -4, -2, -2, 0, -3, -1, 2 ], [ -46, -1\
7, -68, -75, 8, -4, -4, 10, 6, 6, 16, 2, 2, -4, 16, 6, 10 ], [ -69, -25, -75, -102, 10, 0, 0, 0, -4, 25, -4, -4, -4, 0, -7, 1, 12 ], [ 6, 2, 8, 10, -2, 0,\
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 0 ], [ -4, -2, 10, 0, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -6, -2, 6, -4, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ 22, 7, \
6, 25, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -10, -4, 16, -4, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ -4, -2, 2, -4, 0, 2\
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 2, 10, 12, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, \
0, -4, 4, -4, 2 ], [ 2, 0, 6, -8, 2, 4, -4, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, -4, 4, 2, -8, 6, -4, 2 ], [ 0, 0, 4, -4, 0, 6, -8, 6, -2 ], [\
 0, 0, -4, 4, 0, -4, 6, -8, 4 ], [ 0, 0, 2, -2, 0, 2, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1,\
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], [ 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, \
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, 3, -8, 2, 0, 2, 0, 0, 6, 2, 3, 2, -1, -1, 0, 3, 1, -1, -3, -3, 1, -4, -2, -8, -6 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, -2, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, -1, 1, 1 ] ], r := [ 2, 1, 2, 4, 3, 2, 2, 1, 1, 0 ], rlifts := [ [ 0, 0, 1, -1, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 1, 0, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, \
1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,\
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0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 2, 2\
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-1, 1, 0, -1, 2, 1, 2, 0, 0, 2, 2, 2, 1 ], [ 0, 0, 1, -1, 0, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 1\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -128, -74, -144, -196, -10, -8, -8, 12, 18, -42, 30, 10, 10, -8, 42, 8, -14\
 ], [ -74, -46, -85, -117, -6, -5, -5, 6, 10, -25, 16, 5, 5, -5, 25, 3, -8 ], [ -144, -85, -188, -235, -8, -14, -14, 26, 30, -58, 56, 16, 16, -14, 72, 14,\
 -10 ], [ -196, -117, -235, -312, -14, -15, -15, 24, 32, -71, 56, 17, 17, -15, 77, 13, -18 ], [ -10, -6, -8, -14, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, \
-2 ], [ -8, -5, -14, -15, 0, -4, -1, 3, 3, -4, 6, 2, 0, -2, 8, 2, 0 ], [ -8, -5, -14, -15, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ 12, 6, 26, 24, -\
1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ 18, 10, 30, 32, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ -42, -25, -58, -71, -2, -4, -4\
, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ 30, 16, 56, 56, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ 10, 5, 16, 17, 0, 2, 0, -4, -4, 6, -8\
, -4, -2, 2, -8, -2, 0 ], [ 10, 5, 16, 17, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ -8, -5, -14, -15, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ]\
, [ 42, 25, 72, 77, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ 8, 3, 14, 13, 0, 2, 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ -14, -8, -10, -\
18, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, -4, 4, -\
4, 4, -2 ], [ 2, 0, 6, -8, 6, -4, 4, -4, 2 ], [ 0, 0, -4, 6, -8, 6, -4, 4, -2 ], [ 0, 0, 4, -4, 6, -8, 6, -4, 2 ], [ 0, 0, -4, 4, -4, 6, -8, 6, -2 ], [ 0,\
 0, 4, -4, 4, -4, 6, -8, 4 ], [ 0, 0, -2, 2, -2, 2, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0\
, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, -1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, \
-1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 7, 2, 3, -\
8, 4, -4, 6, -4, 4, 2, 2, 3, 2, -1, -1, 6, 3, 3, 1, -1, -1, 0, -3, -2, -10, -4 ], embQ := [ [ 1, 0, 0, 0, -2, 2, -2, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -3, 1, 1, 0 ], [ 0, 1, 0, 0, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0 ], [ 0, 0, 1, 0, -2, 2, -2, 2, -2, 2, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, 2, 0 ], [ 0, 0, 0, 1, -3, 3, -3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
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2 ], [ 4, 10, 10, 16, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ 4, 10, 10, 16, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ -3, -10, -9, -15,\
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-1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1 ] ], r := [ 4, 2, 5, 8, 6, 5, 4, 4, 3, 1 ], rlifts := [ [ 1, 2, 0, -2, 1, 0, 1, -1, 0, 1, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4,\
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2, 2, 0, 0, 0, 0, -2, 0 ], [ -2, -2, -1, 4, -2, 0, -2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 1, 0, 3, 1 ], [ 2, 2, 1, -4, 2, 0, 2, -2, 0, 2, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -212, -101, -138, -277, -8, 14, 14, -38, -30, 38, -68, -16, -16,\
 14, -76, -14, -14 ], [ -101, -52, -67, -135, -5, 6, 6, -19, -14, 15, -33, -8, -8, 6, -34, -8, -8 ], [ -138, -67, -92, -181, -6, 8, 8, -24, -18, 22, -42, \
-10, -10, 8, -46, -8, -10 ], [ -277, -135, -181, -366, -11, 18, 18, -51, -40, 49, -91, -22, -22, 18, -100, -20, -18 ], [ -8, -5, -6, -11, -2, 0, 0, -1, 0,\
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-38, -19, -24, -51, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -30, -14, -18, -40, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ 38, 1\
5, 22, 49, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -68, -33, -42, -91, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ -16, -8, -10\
, -22, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -16, -8, -10, -22, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ 14, 6, 8, 18, 0, -2, -2, 2, \
4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -76, -34, -46, -100, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ -14, -8, -8, -20, 0, 2, 2, -4, -4, 4, -8, -2,\
 -2, 2, -8, -4, 0 ], [ -14, -8, -10, -18, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 6, -2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, \
0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -2, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, \
0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0\
 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, \
0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 12, 2, 2, -18, 14, -2, 4, -2, 1, 4, 2, 3, \
2, -1, -1, 8, 3, 7, 5, 3, 4, 0, -4, 4, -8, -2 ], embQ := [ [ 1, 0, 0, 2, -4, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -5, -3, 0 ], [ 0, 1, 0,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -6, 2, 0, 0, 4, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0,\
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1 ], rlifts := [ [ 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1 ] ], rootsQ := [ [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1,\
 1, 1, 1, 1, 1 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -2\
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0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A4", "D4" ], theg := [ [ 5, 3, 6, 9, 6, 5, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -17, -12, -10, -8, -6, -4, -2 ], [ 8, 6, 12, 18, 13, 10, 8, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],\
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[ 5, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 1 ], [ 3, 1, 0, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, 3, 3, 3, 1, 0\
, 3, 1, 1 ], [ 6, 0, 1, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 3 ], [ 9, 0, 0, -17, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -1,\
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1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, 3, 3, 3, 1, 0, 3, 1, 2 ], [ 2, 0, 0, -4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0 ], [ 1, 0, 0, \
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0, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1 ] ] ), rec( GramQ := [ [ -168, -74, -108, -216, -2, 14, 12, -28, -30, 42, -58, -18, -16, 20, -68, -12, -6 ], [ -74, -36, -47, -97, -2, 6, 5, -14, \
-14, 17, -28, -9, -8, 9, -30, -7, -4 ], [ -108, -47, -76, -141, 0, 8, 6, -14, -18, 26, -32, -12, -10, 14, -38, -6, -2 ], [ -216, -97, -141, -282, -2, 18, \
15, -36, -40, 55, -76, -25, -22, 27, -88, -17, -6 ], [ -2, -2, 0, -2, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2 ], [ 14, 6, 8, 18, 0, -4, -1, 3, 3, -4, 6\
, 2, 0, -2, 8, 2, 0 ], [ 12, 5, 6, 15, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ -28, -14, -14, -36, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, \
-2 ], [ -30, -14, -18, -40, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ 42, 17, 26, 55, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -58\
, -28, -32, -76, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ -18, -9, -12, -25, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -16, -8, -1\
0, -22, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ 20, 9, 14, 27, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -68, -30, -38, -88, 0, 8, 8, -16, \
-16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ -12, -7, -6, -17, 0, 2, 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ -6, -4, -2, -6, -2, 0, 0, -2, 0, -2, -2, 0, 0\
, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 0, -4, -2, -4, 2, -6 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -8, 0, -4\
, -2, 2, -6 ], [ -4, 0, 0, 0, -8, 0, -4, 2, -6 ], [ -2, 0, 0, -4, 0, -8, 0, 2, -6 ], [ -4, 0, 0, -2, -4, 0, -8, 4, -6 ], [ 2, 0, 0, 2, 2, 2, 4, -4, 4 ], [\
 -6, 0, 0, -6, -6, -6, -6, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, \
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, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, \
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, 8, -4, 2, 0 ], [ 0, 0, 0, 1, -3, 3, -3, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, -6, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
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0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0,\
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1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0, 1, 0 ], [ 3, 0, 1, -4, 2, 0, 0, 2, -1, -2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1,\
 1, 2 ], [ 1, 1, 0, 1, -4, 2, 0, 2, -3, 2, 0, 0, 0, 0, 0, -4, 0, -2, -3, -3, -3, 0, -1, -2, 0, -2 ], [ 1, 1, 0, -1, 2, -4, 2, 2, -1, -2, 0, 0, 0, 0, 0, 2,\
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2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, -1, 1, 0, -2, -1 ], [ 2, 2, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, -1, 0, -2, -1, 1, 1 ] ], r :\
= [ 4, 3, 6, 9, 7, 6, 4, 3, 2, 0 ], rlifts := [ [ 1, 0, 0, -1, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -2, 1, -1, 0 ], [ 1, 0, 0, -1, 1, \
-1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0,\
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1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1\
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, [ 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 2, -1, 0, 0, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, -1, 2, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1,\
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typeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 5, 3, 6, 9, 7, 6, 4, 3, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -4,\
 -3, -6, -8, -7, -6, -4, -3, -2, 0 ], [ 4, 3, 6, 9, 8, 6, 4, 3, 2, 0 ], [ -4, -3, -6, -9, -7, -5, -4, -3, -2, 0 ], [ 4, 3, 6, 9, 7, 6, 5, 3, 2, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -4, -3, -6, -9, -7, -6, -4, -3, -1, 0 ], [ 8, 6, 12, 18, 14, 12, 8, 6, 4, 1 ] ], thegtilde := [ [ 5, 0, 0, -4, 4, -4, 4, 0,\
 -4, 8, 0, 0, 0, 0, 0, 0, 0, 4, 2, -4, 0, 0, -6, 4, -4, -1 ], [ 3, 1, 0, -3, 3, -3, 3, 0, -3, 6, -1, 0, 0, 0, 0, 0, 0, 3, 1, -3, 0, 0, -5, 3, -3, -1 ], [ \
6, 0, 1, -6, 6, -6, 6, 0, -6, 12, 0, 0, 0, 0, 0, 0, 0, 6, 3, -6, 0, 0, -9, 6, -6, 0 ], [ 9, 0, 0, -8, 9, -9, 9, 0, -9, 18, -1, 0, 0, 0, 0, 0, 0, 9, 4, -9,\
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-2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -16, -27, -14, -45, 3, 0, 2, -3, -2, 11, -5, 0, -2, -2, -8, 0, 4 ], [ -27, -68, -41, -107, 6, -\
4, 0, 0, 2, 10, 2, 2, -2, -8, 2, 0, 10 ], [ -14, -41, -40, -69, 5, -6, -4, 11, 10, -5, 21, 6, 4, -8, 22, 6, 8 ], [ -45, -107, -69, -174, 11, -6, 0, 3, 4, \
17, 7, 4, -2, -12, 4, 2, 18 ], [ 3, 6, 5, 11, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2 ], [ 0, -4, -6, -6, 0, -4, -1, 3, 3, -4, 6, 2, 0, -2, 8, 2, 0 ], \
[ 2, 0, -4, 0, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ -3, 0, 11, 3, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -2, 2, 10, 4, 0, 3, 3,\
 -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ 11, 10, -5, 17, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -5, 2, 21, 7, -1, 6, 6, -16, -14, 20, -\
30, -8, -8, 6, -32, -8, -2 ], [ 0, 2, 6, 4, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -2, -2, 4, -2, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 \
], [ -2, -8, -8, -12, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -8, 2, 22, 4, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ 0, 0, 6, 2, 0, 2\
, 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ 4, 10, 8, 18, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 2, -2, 0, 0 \
], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 2, 0, 0, 0, 2, -4, 2,\
 0, 0 ], [ -2, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1\
, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, \
-1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 12, 2, 2, -6, 2, -14, 16\
, -2, 1, 4, 2, 3, 2, -1, -1, 8, 3, 7, -1, -9, -2, 0, -10, -2, -14, -2 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -1, -1, 0 ], [ 0, 1, 0, 1, 0, -4, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 0 ], [ 0, 0, 1, 0, 0, -2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 0, 0, 2, 0, -6, 6, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -6, 2, 0, 2, 0, -2, \
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0, 18, -17, 9, 18, 0, 0, 0, 0, 0, 8, -1, 9, 9, 0, -9, 1, 0, 0, -26, -13 ], [ 12, 0, 6, -12, 0, 0, 12, -12, 7, 12, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -6, 0, 0, \
0, -18, -10 ], [ 6, 0, 3, -6, 0, 0, 6, -6, 3, 7, 0, 0, 0, 0, 0, 2, -1, 3, 3, 0, -3, 1, 0, 0, -8, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
-1, -1, 1, 0, -1, 2, 1, 2, 0, 0, 2, 2, 2, 1 ], [ 4, 0, 2, -4, 0, 0, 4, -4, 2, 4, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, -2, 0, 0, 0, -6, -4 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 2, 0, 0, 2, 1 ], [ 4, 0, \
2, -4, 0, 0, 4, -4, 2, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, -2, 0, 0, 0, -6, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 0, 0, 4, -4, 2, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -1, 0, 0, 0, -6, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 4, 0, 2, -4, 0, 0, 4, -4, 2, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, 0, 0, -5, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -34, -13, -51, 2, -5, -5, 9, 12, -8, 21, 7, 7, -5, 22, 9, -5, 2 ], [ -13, \
-8, -22, 0, -3, -3, 3, 6, -6, 9, 3, 3, -3, 12, 3, -3, 0 ], [ -51, -22, -84, 4, -9, -9, 15, 20, -14, 35, 11, 11, -9, 38, 13, -9, 6 ], [ 2, 0, 4, -2, 0, 0, \
-1, 0, -2, -1, 0, 0, 0, 0, 0, 0, -2 ], [ -5, -3, -9, 0, -4, -1, 1, 3, -2, 4, 2, 0, -2, 6, 2, -2, 0 ], [ -5, -3, -9, 0, -1, -4, 1, 3, -2, 4, 0, 2, -2, 6, 2\
, -2, 0 ], [ 9, 3, 15, -1, 1, 1, -6, -3, 4, -8, -2, -2, 0, -6, -2, 0, -2 ], [ 12, 6, 20, 0, 3, 3, -3, -8, 6, -10, -4, -4, 4, -12, -4, 4, 0 ], [ -8, -6, -1\
4, -2, -2, -2, 4, 6, -12, 10, 4, 4, -2, 12, 2, -2, -2 ], [ 21, 9, 35, -1, 4, 4, -8, -10, 10, -18, -6, -6, 4, -18, -6, 4, -2 ], [ 7, 3, 11, 0, 2, 0, -2, -4\
, 4, -6, -4, -2, 2, -6, -2, 2, 0 ], [ 7, 3, 11, 0, 0, 2, -2, -4, 4, -6, -2, -4, 2, -6, -2, 2, 0 ], [ -5, -3, -9, 0, -2, -2, 0, 4, -2, 4, 2, 2, -4, 6, 2, -\
2, 0 ], [ 22, 12, 38, 0, 6, 6, -6, -12, 12, -18, -6, -6, 6, -24, -6, 6, 0 ], [ 9, 3, 13, 0, 2, 2, -2, -4, 2, -6, -2, -2, 2, -6, -4, 2, 0 ], [ -5, -3, -9, \
0, -2, -2, 0, 4, -2, 4, 2, 2, -2, 6, 2, -4, 0 ], [ 2, 0, 6, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 0, 6, 0, 0, 0, -2,\
 -2 ], [ -4, -8, 2, 4, 0, 0, 0, -2, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 4, 2, -8, 2, 0, 0, 2, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2,\
 -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, -2, 0, 2, 0, 0, 2, -4, 0 ], [ -2, -2, 0, 2, 0, 0, 0, 0, -4 ] ], Sigma := [ [ 0, -2, 1, 0, 0, 0, 0, 0\
, 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, \
0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -2, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 7, 1, 3, -7, 2, -2, 4, -2, 2, 4, 2, 3, 2, -1, -1, 3, 3, 2, 0, -2, -1, 1, -3, -1, -8, -5 ], embQ := [ [ 1, 0, 2,\
 -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 1, 0 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0\
 ], [ 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1, 1, -2, -1, 0 ], [ -1, -2, -1, 2, 0, 0, 0, -2, 3, -2,\
 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0 ], [ -1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0, 1, 0 ], [ 3, 0, 1, -\
4, 2, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, -1, 2, 0, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -1, -2, 0, 1, -2, \
0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, -1, 1, 0, -2, 1, -1, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, \
0, 1, 0, 1, 1, 0, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, -1, 1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0,\
 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, -1, 1, 1 ] ], r := [ 2, 1, 3, 5, 4, 3, 2, 1, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1\
, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ] ], rootsQ := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 1, \
0, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0,\
 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 1, \
1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, -2, -1, -1, 1, 0, -1, 1, 2, 2, 0, 0, 2, 1 ], [ 0, 0, 0,\
 0, 2, 1, 1, -1, 0, 1, -1, -2, -2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, -2, -1, 1, 0, -1, 2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 2, 1, -1, 0, 1, -2, -1, -2,\
 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1, 2, -1, 0, 0, -1, -1, -2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, -1, \
-1, -1, 2, 0, -1, 1, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -2, -1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, \
1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, -1, \
0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 3, 1, 3, 5, 4, 3, 2, 1, 0, 0 ], [ 2, 2, 3, 5, 4, 3, 2, 1\
, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -4, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 3, 5, 4, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [\
 2, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1 ], [ 1, 3, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -2 ], [ 2, 2, 0, -1, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3 ], [ 2, 2, 0, -2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2 ], [ 1, -1, 1, -1, 0, 1, 0, 0, 1,\
 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, -1 ], [ 0, 2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, \
2, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -\
1, -1, -1, -1, -1, 0, -1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 2, -1\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, 0, 1, -1, -1, 1, 1, 1, 0 ], [ -1, 3, -2, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -2, 1, -2, -3, -2, -2, -\
2, -2, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 2, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, -1, -1, -1, -1 ], [ -1, -3, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2 ]\
, [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1\
, -1, 0, -1, -1, -1 ], [ -1, 3, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, -2, -2, -2, -1, -1, -1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ \
:= [ [ -20, -31, -3, -47, 0, 4, 5, -10, -8, 14, -18, -3, -4, 2, -23, -4, 0 ], [ -31, -68, -15, -99, 0, 4, 6, -14, -10, 16, -24, -4, -6, 0, -28, -8, 2 ], [\
 -3, -15, -14, -26, 2, -2, -1, 4, 4, -2, 8, 3, 2, -4, 7, 2, 4 ], [ -47, -99, -26, -150, 2, 6, 9, -18, -14, 26, -32, -5, -8, 0, -41, -10, 6 ], [ 0, 0, 2, 2\
, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2 ], [ 4, 4, -2, 6, 0, -4, -1, 3, 3, -4, 6, 2, 0, -2, 8, 2, 0 ], [ 5, 6, -1, 9, 0, -1, -4, 3, 3, -4, 6, 0, 2, -\
2, 8, 2, 0 ], [ -10, -14, 4, -18, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ -8, -10, 4, -14, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0\
 ], [ 14, 16, -2, 26, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ -18, -24, 8, -32, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ -3,\
 -4, 3, -5, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ -4, -6, 2, -8, 0, 0, 2, -4, -4, 6, -8, -2, -4, 2, -8, -2, 0 ], [ 2, 0, -4, 0, 0, -2, -2, 2, \
4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ -23, -28, 7, -41, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -40, -8, 0 ], [ -4, -8, 2, -10, 0, 2, 2, -4, -4, 4, -8, -2, -2, \
2, -8, -4, 0 ], [ 0, 2, 4, 6, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, -4, 6, 0, 4, -4, 0, 2 ], [ -4, -8, -2, 4, 0, 4, -4,\
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0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 5, 2, 5, 9, 8, 7, 5, 4, 3, 1 ], [ 4, 3, 5, 9, 8, 7, 5\
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 ], [ -2, -1, 0, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1 ], [ -2, -1, 0, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -48, -28, -78, -92, 4, -6, -6, 12, 10, -10, 22, 4, 4, -6, 28, 4, 6 ], [ -28, -20, -46, -56, 1, -4, \
-4, 6, 6, -9, 12, 2, 2, -4, 18, 1, 2 ], [ -78, -46, -136, -152, 6, -12, -12, 26, 22, -26, 48, 10, 10, -12, 58, 10, 10 ], [ -92, -56, -152, -180, 7, -12, -\
12, 24, 20, -23, 44, 8, 8, -12, 56, 7, 12 ], [ 4, 1, 6, 7, -2, 0, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2 ], [ -6, -4, -12, -12, 0, -4, -1, 3, 3, -4, 6, 2, 0,\
 -2, 8, 2, 0 ], [ -6, -4, -12, -12, 0, -1, -4, 3, 3, -4, 6, 0, 2, -2, 8, 2, 0 ], [ 12, 6, 26, 24, -1, 3, 3, -10, -7, 10, -16, -4, -4, 2, -16, -4, -2 ], [ \
10, 6, 22, 20, 0, 3, 3, -7, -8, 10, -14, -4, -4, 4, -16, -4, 0 ], [ -10, -9, -26, -23, -2, -4, -4, 10, 10, -20, 20, 6, 6, -4, 24, 4, -2 ], [ 22, 12, 48, 4\
4, -1, 6, 6, -16, -14, 20, -30, -8, -8, 6, -32, -8, -2 ], [ 4, 2, 10, 8, 0, 2, 0, -4, -4, 6, -8, -4, -2, 2, -8, -2, 0 ], [ 4, 2, 10, 8, 0, 0, 2, -4, -4, 6\
, -8, -2, -4, 2, -8, -2, 0 ], [ -6, -4, -12, -12, 0, -2, -2, 2, 4, -4, 6, 2, 2, -4, 8, 2, 0 ], [ 28, 18, 58, 56, 0, 8, 8, -16, -16, 24, -32, -8, -8, 8, -4\
0, -8, 0 ], [ 4, 1, 10, 7, 0, 2, 2, -4, -4, 4, -8, -2, -2, 2, -8, -4, 0 ], [ 6, 2, 10, 12, -2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ \
[ -20, 0, 0, 10, 0, 0, -4, 4, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 0, 2, -8, 2, 0, 2, -2, 0 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 0, 2, 0, 2, -4, 2, 0 ], [ 4, 0, 0, -2, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ \
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0,\
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1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 10, 2, 2, -8, 2, -2, 6, -4, 1, 4, 2, 3, 2, -1, -1, 4, 3, 2, 0, -2, -1, 0, -3, -1, -9,\
 -6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 2, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 3, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 1, -1, -2, 0, 0, 0, 0, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 1, 0, 1, 0, 0, 4, -8, 5, 0, 0, 0, 0, 0, 0, 3, 0, -1, 1, 1, -2, -3, 1, -2, -5, -2 ], [\
 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0,\
 -1, -1, 0, 1, 0 ], [ 2, -1, 1, -3, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-2, 0, -2, -2, -1, -2, 0, 1, -2, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, -1, 1, 0, -2, 1, -1, 2 ], [ 0, 0, 0, 0, 0, 2, -2, -2\
, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, 0, 0, 2, 0, 0, -2 ], [ 1, 1, 0, -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, -1, 0, -2, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, -1, 1, 1 ] ], r := [ 2, 2, 4, 6, 5, 4, 3, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, -1, 0, 0, 1\
, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 2, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ] ], ro\
otsQ := [ [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0\
, 1, -1, 1, 1, 1, 1, 1, 0 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0\
, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -2, -1, -1, 1, 0, -1, 1, 2, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 2, 1, 1, -1, 0, 1, -1, -2, -2, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, -1, -2, -1, 1, 0, -1, 2, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 2, 1, -1, 0, 1, -2, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, -\
2, 1, 0, 0, 1, 1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 2, -1, 0, 0, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, -1, 2, 0, -1, 1, 1, 2, 0, 0, 1 ], [ 0\
, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, \
0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A4" ], theg := [ [ 5, 4, 8, 12, 10, 8,\
 6, 6, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -5, -5, -4, -3, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 2, 4, 6, 5, 4, 4, 3, 2, 1 ], [ -2, -2, -4, -6, -5, -4, -3, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, -1, -2 ], [ 4, 1, 0, -2, 0, \
0, 2, -2, 0, 0, -1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, -3 ], [ 8, 0, 1, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 2, 2, 0, 2, 2, -2, -2 ]\
, [ 12, 0, 0, -5, 0, 0, 6, -6, 0, 0, -1, 0, 0, 0, 0, 6, 2, 2, 2, 2, 2, -2, 2, 2, -4, -5 ], [ 10, 0, 0, -5, 1, 0, 5, -5, 0, 0, 0, 0, 0, 0, 0, 5, 1, 2, 2, 2\
, 2, -1, 2, 2, -3, -3 ], [ 8, 0, 0, -4, 0, 1, 4, -4, 0, 0, -1, 0, 0, 0, 0, 4, 2, 1, 1, 1, 1, -2, 1, 1, -3, -4 ], [ 6, 0, 0, -3, 0, 0, 4, -3, 0, 0, 0, 0, 0\
, 0, 0, 3, 1, 1, 1, 1, 1, -1, 1, 1, -2, -2 ], [ 6, 0, 0, -3, 0, 0, 3, -2, 0, 0, -1, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, -1, 1, 1, -2, -2 ], [ 4, 0, 0, -2, 0, 0,\
 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, -1, -2 ], [ 2, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, -1, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, -1, 2, 1, 2, 0, 0, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, \
-1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0,\
 0, 1, 2, -1, -1, -1, -1, -2, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ) ], walls := [ [ 2, 1, 2, 3, 2, 1, 0, 0, 0,\
 0 ], [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0\
, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 2, 2, 1, 1, 0 ], [ 2, 1, 2, 4, 3, 3, 2, 2, 1, 1\
 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 6, 5, 4, 4, 3, 1 ], [ 4, 3, 6, 9, 6, 5, 4, 3, 2, 1 ], [ 4, 3, 6, 9, 7, 6, 4, 3, 2, 0 ], [ 4, 3, 6, 9, \
8, 7, 4, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 5, 4, 1 ], [ 8, 5, 10, 17, 14, 11, 8, 7, 4, 1 ], [ 2, 1, 3, 5, 4, 3, 2, 1, 0, 0 ], [ 4, 2, 5, 9, 8, 7, 5, 4, 3,\
 1 ], [ 2, 2, 4, 6, 5, 4, 3, 3, 2, 1 ] ], weyl := [ 6, 2, 2, -6, 2, -2, 4, -2, 1, 4, -2, -3, -2, 1, 1, 2, -3, 5, 5, 1, -2, 0, 0, 2, -4, 0 ], weylprime := \
[ 6, 2, 2, -6, 2, -2, 4, -2, 1, 4, -1, -3, -2, 1, 1, 2, -3, 5, 5, 1, -2, 0, 0, 2, -4, 0 ] ), rec( GramL26 := [ [ 4, 4, 8, 10, 9, 8, 5, 4, 2, 2, -1, -1, 0,\
 -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2 ], [ 4, 0, 3, 5, 5, 3, 4, 2, 2, -1, 0, 2, -1, 0, -2, 0, 1, 1, -1, 1, -1, -2, -1, -1, -2, 1 ], [ 8, 3, 6, 12, 12,\
 7, 8, 5, 4, -1, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, 0, 0, -2, -3, -3, 2 ], [ 10, 5, 12, 16, 17, 11, 10, 6, 4, -1, 2, 4, -5, -2, -6, -3, 3, 1, -1, 1, -1, -2, \
-3, -2, -2, -1 ], [ 9, 5, 12, 17, 14, 12, 10, 7, 5, 2, -2, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1, -2, 0, 0, 0, 0 ], [ 8, 3, 7, 11, 12, 4, 7, 3, 2, -3, 4, 3, -7, \
-3, -8, -2, 3, -1, 0, 0, -2, -1, -3, -3, -3, 1 ], [ 5, 4, 8, 10, 10, 7, 4, 3, 1, 0, 1, 1, -3, -2, -3, -2, 1, 0, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 4, 2, 5, 6, \
7, 3, 3, 0, 0, -2, 1, 1, -4, -3, -5, -2, 1, 0, 0, 1, -2, -1, -2, -1, -1, -1 ], [ 2, 2, 4, 4, 5, 2, 1, 0, -2, -1, 1, 0, -4, -3, -4, -2, 1, 0, 0, -1, -1, 0,\
 -2, 0, 0, -2 ], [ 2, -1, -1, -1, 2, -3, 0, -2, -1, -6, 4, 4, -7, -3, -8, -2, 2, -1, 0, 1, -1, -1, -4, -3, -3, 1 ], [ -1, 0, 4, 2, -2, 4, 1, 1, 1, 4, -12,\
 -7, 10, 1, 7, 2, -4, 2, -2, 2, -2, -4, 4, 4, 4, -2 ], [ -1, 2, 4, 4, 0, 3, 1, 1, 0, 4, -7, -10, 6, -2, 5, 2, -4, -2, 1, 0, -2, 0, 4, 4, 4, -2 ], [ 0, -1,\
 -4, -5, 1, -7, -3, -4, -4, -7, 10, 6, -14, -5, -12, -4, 4, -2, 1, -2, 0, 2, -6, -4, -4, 0 ], [ -1, 0, 0, -2, 0, -3, -2, -3, -3, -3, 1, -2, -5, -6, -6, -2\
, 0, -2, 1, 0, -2, 0, -2, 0, 0, -2 ], [ 0, -2, -4, -6, 0, -8, -3, -5, -4, -8, 7, 5, -12, -6, -14, -4, 4, -2, 1, 0, -2, 0, -6, -4, -4, 0 ], [ -1, 0, 0, -3,\
 0, -2, -2, -2, -2, -2, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 1, 2, 3, 0, 3, 1, 1, 1, 2, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 0, 0, 2, \
2, 2, 0 ], [ 0, 1, 0, 1, 1, -1, 0, 0, 0, -1, 2, -2, -2, -2, -2, 0, 0, -4, 2, 0, 0, 2, 0, 0, 0, 0 ], [ 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 0, \
0, 2, -2, 0, 0, -2, 0, 0, 0, 0 ], [ 0, 1, 0, 1, 1, 0, 0, 1, -1, 1, 2, 0, -2, 0, 0, 0, 0, 0, 0, -4, 2, 2, 0, 0, 0, 0 ], [ 0, -1, 0, -1, -1, -2, 0, -2, -1, \
-1, -2, -2, 0, -2, -2, 0, 0, 0, 0, 2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -2, -2, -1, 0, -1, 0, -1, -4, 0, 2, 0, 0, 0, 0, 2, -2, 2, -2, -4, 0, 0, 0, 0 ], [ \
0, -1, -2, -3, 0, -3, -2, -2, -2, -4, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, 0, 0, -4, -2, -2, 0 ], [ 1, -1, -3, -2, 0, -3, 0, -1, 0, -3, 4, 4, -4, 0, -4, 0, 2\
, 0, 0, 0, 0, 0, -2, -4, -2, 2 ], [ 1, -2, -3, -2, 0, -3, 0, -1, 0, -3, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, 0, 0, -2, -2, -4, 2 ], [ -2, 1, 2, -1, 0, 1, -2, -\
1, -2, 1, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramR := [ [ -26, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2, 6, 6, 4, 4, 0 ], [ 4, -6, -2, -3,\
 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, -2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -1, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4\
, -2 ], [ 15, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ 17, 1, 7, 1, -14\
, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ], [ 4, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -6, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2\
, 0 ], [ 6, 0, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ 6, -2, 0, -2, -2, -2, -2, 0, 0, 0\
, 0, -4, 0, 0, 0, 0 ], [ 6, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ 4, 2, 4, 4, -\
4, 0, -4, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], NK := "VI", NKisom := [ 11, 14, 1, 5, 12, 16, 3, 9, \
6, 4, 15, 17, 8, 18, 2, 10, 7, 13, 20, 19 ], No := 7, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, -1/2 ], [ 0\
, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 0, 1/2, -1/2, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, -1/2, 1/2, 1/2, 1/2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, \
1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
/2, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -12, 10, -6, -6, -6, 7, 2, 8, 2, -2, 2, -1, -3, 4, \
4, 4, -2 ], [ 10, -34, 10, -2, 5, 8, 7, 9, 2, -4, 4, -1, 9, 2, 0, 0, 2 ], [ -6, 10, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -6, -2, -2, -8,\
 -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -6, 5, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4, -2 ], [ 7, 8, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1,\
 -2, -6, -4, -4, 0 ], [ 2, 7, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ 8, 9, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ]\
, [ 2, 2, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -2, -4, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 2, 4, 0, 0, -8, -4, -8, -8, 0\
, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ -3, 9, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ], [ 4,\
 2, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, 0, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ 4, 0, 2, 4, 4, -4, 0, -4, 0, 2, 0,\
 0, 0, -2, -2, -4, 2 ], [ -2, 2, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -4, 0, 4, -2 ], [ 0, -4, 2, 0, 0,\
 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 2, 4, 0, -4, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 4, 2, -8, 2, 4, -2 ], [ 0, 0, \
0, 0, 0, 2, -4, 2, 0 ], [ 4, 0, 0, -4, 0, 4, 2, -8, 4 ], [ -2, 0, 0, 2, 0, -2, 0, 4, -4 ] ], Sigma := [ [ -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -\
1, -1, 0 ], [ -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0,\
 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ \
0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0,\
 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ -1,\
 2, 2, 3, -1, -3, -2, -2, 6, 6, -4, 2, -1, -5, 1, -1, 2, -1, 4, -2, 3, -4, -4, -2, -3, 2 ], embQ := [ [ 1, 0, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 0, 0, 1, 1\
, -1, 1, 0, 1, -4, 0, 0, 0, 0, 0, 2, 2, 3, 0, 0, 0, 2, 1, 2, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0 ], [\
 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 1, 0, -1 ], [ 1, 0, 2, -3, 1, 1, -1, 0, -1, 4, 0, 0, 0, 0, 0, -1, -2, -3, 0, 0, 0\
, -2, -1, -2, -2, 2 ], [ 1, 0, 0, 1, -3, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1 ], [ -1, 0, 0, 1, 1, -3, 1, 0, 3, -4, 0, 0, 0,\
 0, 0, 3, 2, 3, 0, 0, 0, 2, 0, 3, 3, -2 ], [ 1, 0, 0, -1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 -2, 4, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 0, 0, -1, -2, -2, 1 ], [ -1, 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, 0, 0, 0 ] ], \
r := [ 2, 1, 2, 3, 3, 3, 2, 1, 1, 0 ], rlifts := [ [ -1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, 0, -1, -1, 0 ] ], rootsQ := [\
 [ 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, 1, 0 ], [ -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, \
1, 1, 0, 1, 1, 0 ], [ -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, -1, 0,\
 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1,\
 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -\
1, -1, 0, 0, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, 1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0\
, 1, 0, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, 0, -\
1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 1, 0, 1, -1, -1, -1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0\
, 0, 0, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 0\
, 0, 0, 1 ], [ 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 1, 0\
, 0, -1, -1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, -2, 1, -1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 2, -1, 1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1 ], [\
 0, 0, 0, -1, 1, 0, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1, 0\
, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1, 1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 1, -1, 0, 1, -2, 1, 0, 1, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1,\
 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -\
1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 1, -2, 0, 1, -1\
, 0, 0, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 2, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, -1, 1, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A3", "A5" ], theg := [ [ -1, -1, -2, -3, -3, -3, -2, -1, -1, 0 ], [ 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -3, -3, -2, -2,\
 -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], [ -2, -1, -2, -3, -3, -3, -2, -1, 0, 0 ], [ 2, 1, 2, 3, 3, 3, 2, 1, 1, 1\
 ] ], thegtilde := [ [ -3, 0, 0, 4, -2, 0, -1, 0, 1, 2, 0, 0, 0, 0, 0, -3, -1, -1, 1, -1, 0, -3, -1, -3, -3, 0 ], [ -2, 1, 0, 2, -1, 0, -1, 1, 0, 1, 0, 0,\
 0, 0, 0, -2, -1, 0, 1, 0, 0, -2, 0, -2, -2, 0 ], [ -4, 0, 1, 4, -2, 0, -1, 0, 1, 2, 0, 0, 0, 0, 0, -3, -1, -1, 1, -1, 0, -3, -1, -3, -3, 0 ], [ -6, 0, 0,\
 7, -3, 0, -2, 1, 1, 3, 0, 0, 0, 0, 0, -5, -2, -1, 2, -1, 0, -5, -1, -5, -5, 0 ], [ -6, 0, 0, 6, -2, 0, -2, 1, 1, 3, 0, 0, 0, 0, 0, -5, -2, -1, 2, -1, 0, \
-5, -1, -5, -5, 0 ], [ -5, 0, 0, 5, -2, 0, -1, 1, 0, 3, 0, 0, 0, 0, 0, -4, -2, -1, 2, -1, 0, -4, -1, -4, -4, 0 ], [ -4, 0, 0, 4, -2, 0, 0, 0, 1, 2, 0, 0, \
0, 0, 0, -3, -1, -1, 1, -1, 0, -3, -1, -3, -3, 0 ], [ -2, 0, 0, 2, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, -2, -1, -1, -1, 0 ], [ -1, 0, 0, \
1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, -1, 0, 0, -1, -1, 0, 2, 0, 2, 1, 1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, \
-1, -1, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0,\
 -1, 1, 0, 1, 0, 1, -1, -1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 1, -1, -1, \
0 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 0, 0, 0, -1, -1, 0 ], [ 1, 0, 0, -1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1,\
 2, -1, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ :=\
 [ [ -26, -28, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2, 6, 6, 4, 4, 0 ], [ -28, -38, 6, -7, 0, 17, 12, 19, 8, -7, 6, -2, 6, 7, 2, 2, 5 ], [ 4, 6, -6, -2, -3, 1\
, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, -7, -2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -1, 0, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4,\
 4, 4, -2 ], [ 15, 17, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, 12, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ 17,\
 19, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ], [ 4, 8, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -6, -7, 0, -4, -4, 4, 0, 4,\
 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 6, 6, 0, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, -2, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ 6,\
 6, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ], [ 6, 7, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, 2, 2, 4, 4, -4, 0, -4, 0, 2, 0\
, 0, 0, -2, -4, -2, 2 ], [ 4, 2, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, 5, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQp\
erp := [ [ -8, 0, 4, 0, 2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 4, -2, 0, 0, 0, 0 ], [ 0, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 2, 0, -2, 2, -\
4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma :\
= [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0,\
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, [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, \
1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 1, 2, 4, -3, 1, 1, -4, -2, 8, 2, -4, 2, -1, -5, 1, 2,\
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, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 2, 2, 0, -1, -1, 2, 1, 2, 2, -1 ] ], r := [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -1\
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, 0, 1 ] ], rootsQ := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 0, 0, 1, 0,\
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1, -1 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -1, 0, \
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[ 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0,\
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"A1", "A1", "A1", "A1", "A1", "A1", "A1", "A5" ], theg := [ [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -2, 0, 1, 1, -1, 2, -2, 0, 2, 0, 0, 0, 0,\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -26, 0, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2, 6, 6, 4, 4, 0 ], [ 0, -2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, 0 ], [ 4, 0, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, 0, -2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -\
1, 0, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4, -2 ], [ 15, 0, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, 0, -1, 1, -6, -7, -1\
0, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ 17, 0, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ], [ 4, 0, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0,\
 -2, 0, 0, -2 ], [ -6, 0, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 6, 0, 0, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 3,\
 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ 6, 0, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ], [ 6, 0, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, \
-2, 0 ], [ 4, 1, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ 4, -1, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, 0, -2, -2, -2, 0, -\
2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, -12, 4, 0, 0, 0, 0, 0, 0 ], [ 2, 4, -4, 2, 0, 0, 0, 0, 0 ], [ 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1\
, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], \
[ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 3, -2, 4\
, -1, -1, 1, -4, -2, 8, 2, -4, 2, -1, -5, 1, 1, 4, -1, 2, -4, -1, 2, -2, -1, 0, 2 ], embQ := [ [ 1, 0, 0, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0\
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] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 0, 4, 0, 0, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, \
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 ], Sigma := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0\
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, 1, 0, 1, 1, 0 ] ], rootsQ := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 0,\
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stypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A5" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, \
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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -26, 0, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2\
, 6, 6, 4, 4, 0 ], [ 0, -6, -2, -2, -2, 0, -2, 0, -3, 0, 0, 0, 0, 0, 3, 2, -4 ], [ 4, -2, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, -2, -\
2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -1, -2, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4, -2 ], [ 15, 0, 1, 8, 4, -14, -7, -14, -4, 4\
, -4, 1, -2, -6, -4, -4, 0 ], [ 9, -2, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ 17, 0, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -\
4, -4, 0 ], [ 4, -3, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -6, 0, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 6, 0, 0, 0, -8, -4,\
 -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ 6, 0, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0\
 ], [ 6, 0, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, 3, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ 4, 2, 2, 4, 4, -4, 0, -4, \
0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, -4, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, -2, 4, 0, 0, 0, 0, 0, 0 ], [ -2, -8, \
8, -2, 0, 0, 0, 0, 0 ], [ 4, 8, -12, 4, 0, 0, 0, 0, 0 ], [ 0, -2, 4, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], \
[ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1,\
 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, \
0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0\
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0, 0, 0, 1, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 3, 4, -2, 1, -1, 1, -4, -2, 8, 2, -4, 2, -1, -5, 1, 0, 4, -1, 2, -4, -1, -2, -2, 1, -1, 1 ], embQ := [\
 [ 1, 0, 0, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 0, 0, 1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ -1, -4, 0, 3, -1, -1, 1, 0, -1\
, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1, 2, 0, -1, 1, -1 ], [ 2, 2, 0, -4, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, -2, -2, -2, 0, 1, 0, 1 ], [ 1, 0, \
0, 1, -3, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1 ], [ -1, 0, 0, 1, 1, -3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, \
1, 1, -1 ], [ 1, 0, 0, -1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-2, 1, -1, 2, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, -1, -2, 1, 0, 1, -3, 0, -2, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0,\
 0, 0, 0, 0, 2, 2, 2, 0, -1, -1, 2, 1, 2, 2, -1 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0 ] ], rootsQ := [ [ 0, 0, 1, 0, 0, 0, \
0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [\
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 -1, 1, 0, 1, 1, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, -1,\
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, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 1, 0, \
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 -1 ], [ 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, 0,\
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, 2, -1, 1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 1, 0, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 2, -1, 0, -1, 0, 0, 0, 0,\
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1, 0, 1, 0, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1, 1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 1, -1, 0, 1, -2, 1, 0, 1, -1, 1, 1, 1, 1, 0 ], [ 0,\
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, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 1, 0, 0, 0,\
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 [ 0, 0, 0, -1, 2, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A5"\
 ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0\
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, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, -1, 0, -2, -2, 0 ]\
, [ -1, 1, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0, -1, -1, 0 ], [ -2, 1, -1, 3, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1,\
 0, -2, -2, -2, 0, -2, -2, -1 ], [ -3, 0, 0, 4, -3, 3, -3, 0, 3, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, -3, -3, -2, 0, -3, -3, 0 ], [ -3, 0, 0, 3, -2, 3, -3, 0, \
3, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, -3, -3, -2, 0, -3, -3, 0 ], [ -2, 0, 0, 2, -2, 3, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -3, -3, -1, 0, -2, -2, 0 ],\
 [ -2, 0, 0, 2, -2, 2, -1, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, -1, 0, -2, -2, 0 ], [ -1, 0, 0, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,\
 -2, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 2, -1, 1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 1, 1, 0 ], [ 0, 0, 0,\
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 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( \
GramQ := [ [ -26, 1, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2, 6, 6, 4, 4, 0 ], [ 1, -10, 6, 5, 6, -6, -1, -6, -2, 2, 0, 0, 2, -3, -3, -4, 1 ], [ 4, 6, -6, -2, \
-3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, 5, -2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -1, 6, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2\
, 4, 4, 4, -2 ], [ 15, -6, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, -1, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [\
 17, -6, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ], [ 4, -2, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -6, 2, 0, -4, -4, 4, 0\
, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 6, 0, 0, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [\
 6, 2, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ], [ 6, -3, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, -3, 2, 4, 4, -4, 0, -4, 0,\
 2, 0, 0, 0, -2, -4, -2, 2 ], [ 4, -4, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, 1, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], \
GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, -2, -2, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 4, 0\
, 2, -8, 4, 2, 0, 0 ], [ 0, -2, 0, 0, 4, -4, 0, 0, 0 ], [ 0, -2, 0, 0, 2, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ],\
 Sigma := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -\
1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1\
, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 1, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 3, 4, 2, -1, -3, 1, -2, -2, 8, 2, -4, 2, -1,\
 -5, 1, 1, 4, -1, 2, -4, -1, 0, -3, 0, -2, 1 ], embQ := [ [ 1, 0, 0, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0,\
 0, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
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ts := [ [ 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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tstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A5" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 ] ] ), rec( GramQ := [ [ -28, 49, -3, 4, -8, -13, -14, -18, -2, 2, -14, 5, -5, -4, -2, -2, 0 ],\
 [ 49, -96, 7, -12, 7, 28, 23, 35, 6, -8, 20, -7, 11, 10, 6, 6, 0 ], [ -3, 7, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ 4, -12, -2, -8, -7, 8\
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, -6, -4, -4, 0 ], [ -14, 23, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ -18, 35, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, \
0 ], [ -2, 6, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ 2, -8, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ -14, 20, 0, 0, -8, -4, -8,\
 -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ 5, -7, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ -5, 11, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ]\
, [ -4, 10, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ -2, 6, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ -2, 6, 2, 4, 4, -4, 0, -4\
, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ 0, 0, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -4, 4, -4, -2 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 2, 4, -4, 4, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 4, 2, -8, 6, -4, -2 \
], [ 4, 0, 0, -4, 0, 6, -8, 6, 2 ], [ -4, 0, 0, 4, 0, -4, 6, -8, 0 ], [ -2, 0, 0, 2, 0, -2, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, \
1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0,\
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djweyl := [ 7, 2, 2, -5, -1, 5, -6, -2, 10, 6, -4, 2, -1, -5, 1, -1, 2, -5, 4, -8, -3, -4, -4, -2, -3, 2 ], embQ := [ [ 1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1\
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0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ -3, 0, 0, 1, 1, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, -2, -2, -1, 0, 2, 2, -2, -1, -2, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 2, 0, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 1, 0, -1 ], [ 1, 0, 2, -3, 1, 1, -1, 0, 3, -4, 0, 0, 0, 0\
, 0, 3, 2, 1, 0, -2, -2, 2, 1, 2, 2, 0 ], [ 1, 0, 0, 1, -3, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1 ], [ -1, 0, 0, 1, 1, -3, 1,\
 0, -1, 4, 0, 0, 0, 0, 0, -1, -2, -1, 0, 2, 2, -2, -2, -1, -1, 0 ], [ 1, 0, 0, -1, 1, 1, -2, 0, 2, -4, 0, 0, 0, 0, 0, 2, 2, 2, 1, -2, -1, 1, 2, 2, 2, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 0, 0, -1, -2, -2, 1 ], [ -1, 0, 0, 1, -1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, -1, -2, 1\
, 0, 1, -3, 0, -2, -2, 1 ] ], r := [ 4, 3, 6, 9, 7, 5, 4, 2, 1, 0 ], rlifts := [ [ 1, 0, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, -1, -\
1, 0, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], \
[ 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -1, 0, -1, 1, 1,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -86, 66, 41, -16, -15, 13, -1, 15, 0, -6, 8, -2, -8, 6, 12, 12, -12 ], [ 66, -70, -42, 6, 11, 3, 9\
, 3, 4, 0, -2, 0, 12, 0, -6, -6, 10 ], [ 41, -42, -26, 4, 7, 1, 5, 1, 2, 0, -1, 0, 7, 0, -4, -4, 6 ], [ -16, 6, 4, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, \
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12, 10, 6, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, -4, 4, 0, -4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4\
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 [ -4, 0, 0, 4, -4, 4, 2, -8, 0 ], [ -2, 0, 0, 2, -2, 2, 0, 0, -4 ] ], Sigma := [ [ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, -1 ], [ 0, 1, -2, 0, 0\
, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 1, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -\
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6, -2, -4, 2, -1, -5, 1, 5, 6, 1, 4, -8, -3, 0, -4, 4, 3, -2 ], embQ := [ [ 1, 0, 0, -1, 1, -1, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, \
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2, -2, -1, -1, 0 ], [ 1, 0, 0, -1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, \
2, 2, 2, -2, 0, -2, 4, 1, 2, 2, -1 ], [ -1, 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, 0, 0, 0 ] ], r := [ 4, 3, 6, 9, 7, 6, 4,\
 2, 1, 1 ], rlifts := [ [ 1, 0, 0, -1, 1, -1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, -1 ] ], rootsQ := [ [ 1, 1, -1, 0, 0, 0, 0, 0, 2, \
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0, 1, -2, 1, 0, 1, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, \
0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, -1, 0\
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-1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A3", "A5" ], theg := [ [ 5, 3, 6, 9, 7, 6, 4, 2, 1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -6, -8, -7, -6, -4, -2, -1, -1 ], [ 4, 3, 6, 9, 8, 6, 4, 2, 1, 1 ], [ -4, -3, -6, -9, -7, -5, -4, -2, -1, -1 ], [ 0\
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:= [ [ 2, 0, 0, -1, 1, -1, -1, -1, 12, -5, 0, 0, 0, 0, 0, 4, 3, 2, 3, -7, -4, -1, -3, 4, 4, -5 ], [ 1, 1, 0, -1, 1, -1, -1, 0, 9, -4, 0, 0, 0, 0, 0, 3, 2,\
 2, 2, -5, -3, -1, -2, 3, 3, -4 ], [ 2, 0, 1, -2, 2, -2, -1, -1, 16, -7, 0, 0, 0, 0, 0, 6, 4, 3, 4, -9, -5, -1, -4, 6, 6, -7 ], [ 3, 0, 0, -2, 3, -3, -2, \
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1, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -1 ], [ 1, 0, 0, -1, 1, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, 2, 1, 1, 1, -2, -1, 0, -1, 2, 2, -2 ], [ \
0, 0, 0, 0, 0, 0, -1, 1, 2, -1, 0, -1, 0, 0, -1, 0, 1, 2, -1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, 0, 0, 1, 0, 0, -1, 0, 0, 0, -2, -2,\
 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, -1, 1, 0, -1,\
 1, 0, 1, 0, 1, -2, -2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, -1, 0, -1, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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1, -1, 1, -1, 2, -1, 0, 0, 0, 0, 0, 2, 1, 1, 1, -1, 0, 1, -1, 2, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 1, -1\
, -1, -1, 1, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 -15, -2, 2, -12, 4, 0, -4, -3, -3, 1 ], [ -8, -2, 5, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -1, -3, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4\
, 4, 4, -2 ], [ 15, 1, -11, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, -1, -10, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ \
17, 1, -15, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2, -6, -4, -4, 0 ], [ 4, 0, -2, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ -6, 0, 2, -4, -4, 4, 0\
, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ 6, 0, -12, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ -2, 0, 4, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ],\
 [ 6, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0 ], [ 6, 0, -4, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 4, 2, -3, 4, 4, -4, 0, -4, \
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, GramQperp := [ [ -8, 0, 0, 6, -4, 4, -4, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 6, -4, 4, 0, -2 ], [ -4,\
 0, 0, 6, -8, 6, -4, 0, 2 ], [ 4, 0, 0, -4, 6, -8, 6, 0, -2 ], [ -4, 0, 0, 4, -4, 6, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 0, 0, -2, 2, -2, 2, \
2, -4 ] ], Sigma := [ [ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ -1, -1, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, \
0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -\
1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0\
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 4, -4, 2, -1, -5, 1, 0, 3, -3, 2, -4, -1, -2, -3, -1, -2, 2 ], embQ := [ [ 1, 0, 0, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 0, 0, 1, 1, -1, 1, 0, -3, 4, 0, 0, 0, 0\
, 0, -2, -2, -1, 0, 2, 2, -2, -1, -2, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0,\
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 0, 0, 1, -3, 1, 1, 0, -3, 4, 0, 0, 0, 0, 0, -3, -2, -2, 0, 1, 1, -1, -1, -3, -3, 0 ], [ -1, 0, 0, 1, 1, -3, 1, 0, 3, -4, 0, 0, 0, 0, 0, 3, 2, 3, 0, 0, 0,\
 2, 0, 3, 3, -2 ], [ 1, 0, 0, -1, 1, 1, -2, 0, -2, 4, 0, 0, 0, 0, 0, -2, -2, -2, 1, 0, 1, -3, 0, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -2, 1, -1, 2, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, 0, 0, 0 ] ], r := [ 1, 1, 2, 3, 2, 2, \
1, 1, 1, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, -1, -1, -1, 0, 0, 0, -1, 0, -1, -1, 0 ] ], rootsQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0\
, 0, 1, -1, -1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 1, 1, 0, 0, 0,\
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, [ -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -\
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0, -1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 1, 1\
, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 2, 0, 0\
, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 1, 0, 1, -1, -1, -1, 0, -1, -1, -1, -1,\
 -1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, -1, -1, -1, 0, 0, 0\
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 1, -1, 0, 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -2, 1, -1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 2, -1, 1, 1, -1, 0, -1, 0, -1, 0, 0,\
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 1, -2, 1, 0, 1, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0 \
], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, \
0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 2, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1\
, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A5" ], theg := [ [ 2, 1, 2, 3, 2, 2, 1, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, -2, -2, -2, -2, -1, -1, -1, 0 ], [ 1, 1, 2, 3, 3, 2, 1, 1, 1, 0 ], [ -1, -1, -2, -3, -2, -1, -1, -1\
, -1, 0 ], [ 1, 1, 2, 3, 2, 2, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -1, -1, -2, -3, -2, -2, -1, -1, 0, 0 ], [ 1, 1, 2, 3, 2, 2, 1, 1, 1, 1 ] \
], thegtilde := [ [ -1, 0, 0, 2, -2, 2, -2, 0, 2, 3, 0, 0, 0, 0, 0, -3, -1, -4, 0, -2, -2, -4, -2, -3, -3, 0 ], [ -1, 1, 0, 1, -1, 1, -1, 0, 1, 3, 0, 0, 0\
, 0, 0, -3, -2, -3, 0, -1, -1, -4, -1, -3, -3, 0 ], [ -2, 0, 1, 2, -2, 2, -2, 0, 2, 4, 0, 0, 0, 0, 0, -5, -3, -5, 0, -2, -2, -5, -1, -5, -5, 0 ], [ -3, 0,\
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-1, 1, 1, 1 ] ] ), rec( GramQ := [ [ -96, 54, 18, -4, 9, 16, 15, 19, 4, -6, 9, -3, 14, 6, 0, 0, 4 ], [ 54, -38, -14, -4, -10, -1, -6, -2, 0, 0, -3, 1, -8,\
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, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, -8, 4, 4, -2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ \
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 -4, 2, 4, -4, 0 ], [ -2, 0, 0, 2, -4, 2, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1\
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1, 0, -1, -1, 0 ], [ -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0 ], [ 1, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0,\
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-1, -5, 1, 3, 4, -1, 2, -6, -3, -2, -2, 2, 1, 2 ], embQ := [ [ 1, 0, 0, -1, 0, -1, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 0, 0 ], [ 0, 0,\
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], rootstypeQ := [ "A1", "A1", "A1", "A3", "A5" ], theg := [ [ 5, 3, 6, 9, 7, 7, 6, 4, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0,\
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 [ 2, 0, 0, -2, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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, 2, 0 ], [ 0, -6, 0, 0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ 0, -6, -2, 0, -2, -2, -2\
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 [ 4, 0, 0, 0, 2, -8, 2, 0, 6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ -6, 0, 0, 0, 0, 6, 0, 2, -12 ] ], Sigma := [ [ 0, 0, 1,\
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[ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 5, 2, 2, -1, -1, -1, -4, -2, 10, 4, -4, 2, -1, -5, 1, 1, 3, -1, \
2, -4, -1, 0, -4, 0, -1, 0 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 0, 0, -2, 3, \
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1 ] ], rootsQ := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0\
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-2, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 2, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "A5" ], theg := [ [ 5, 3, 6, 9, 8, 7, 5, 3, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -4, -3, -6, -9, -8, -6, -5, -3, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0,\
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 0, 0, -1, 0, -1, 2, -1, 1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, 0, 0, -1, -1, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 3, 1, 1, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0,\
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0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, -2, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -20, -32, -9, -3, -9, -2, -7, -4, -1, 0, -4, 2, -6, 0, 3, 3, -4\
 ], [ -32, -70, -13, 5, -8, -17, -16, -21, -5, 6, -10, 4, -12, -6, -1, -1, -4 ], [ -9, -13, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -3, 5, \
-2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2 ], [ -9, -8, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4, -2 ], [ -2, -17, 1, 8, 4, -14, -7, -14, -4\
, 4, -4, 1, -2, -6, -4, -4, 0 ], [ -7, -16, -1, 1, -6, -7, -10, -10, -2, 0, -8, 3, -2, -2, 0, 0, -2 ], [ -4, -21, 1, 7, 1, -14, -10, -18, -4, 4, -8, 3, -2\
, -6, -4, -4, 0 ], [ -1, -5, 0, 2, 2, -4, -2, -4, -4, 2, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 6, 0, -4, -4, 4, 0, 4, 2, -4, 0, 0, 0, 2, 2, 2, 0 ], [ -4, -10, 0, \
0, -8, -4, -8, -8, 0, 0, -12, 4, 0, 0, 0, 0, 0 ], [ 2, 4, 0, 0, 3, 1, 3, 3, 0, 0, 4, -2, 0, 0, 0, 0, 0 ], [ -6, -12, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, -4\
, 0, 0, 0, 0 ], [ 0, -6, 0, 4, 4, -6, -2, -6, -2, 2, 0, 0, 0, -4, -2, -2, 0 ], [ 3, -1, 2, 4, 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -4, -2, 2 ], [ 3, -1, 2, 4,\
 4, -4, 0, -4, 0, 2, 0, 0, 0, -2, -2, -4, 2 ], [ -4, -4, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 0, 2, -2\
, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4\
, 2, 0, 0 ], [ 2, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1,\
 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, -1,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -26, 28, 4, -8, -1, 15, 9, 17, 4, -6, 6, -2, 6, 6, 4, 4, 0 ], [ 28, -38, -7, 6, -5, -15, -13, -19, -\
2, 4, -11, 4, -7, -6, -2, -4, 0 ], [ 4, -7, -6, -2, -3, 1, -1, 1, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ -8, 6, -2, -8, -7, 8, 1, 7, 2, -4, 0, 0, 0, 4, 4, 4, -2\
 ], [ -1, -5, -3, -7, -14, 4, -6, 1, 2, -4, -8, 3, -2, 4, 4, 4, -2 ], [ 15, -15, 1, 8, 4, -14, -7, -14, -4, 4, -4, 1, -2, -6, -4, -4, 0 ], [ 9, -13, -1, 1\
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 6, 2 ], [ -4, -8, 0, 4, -4, 4, 6, -8, 0 ], [ -2, -4, 0, 2, -2, 2, 2, 0, -4 ] ], Sigma := [ [ 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0 ], [ 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -34, -61, -6, 6, -3, -16, -13, -19, -6, 6, -9, 3,\
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2, 2, 2, 0, -1, -1, 2, 1, 2, 2, -1 ] ], r := [ 2, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1 ] ], rootsQ := [ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0 ], [ \
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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A3", "A5" ], theg := [ [ 13, 8, 16, 28, 24, 20, 16,\
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0, 0, 0, 1, 0 ], [ 6, 4, 8, 14, 12, 10, 8, 5, 3, 2 ] ], thegtilde := [ [ 10, 0, 14, -9, -5, 5, -8, -1, 9, 7, 0, 0, 0, 0, 0, -1, -3, -8, 3, -9, -5, -4, -4,\
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 -1, -3, -3, 0 ], [ -1, 0, 0, 1, -1, 1, -2, 2, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 1, -1, -2, -1, 2, -1, -1, 0 ], [ 1, 0, 2, -1, -1, 1, -2, 1, 1, 1, -1, 1, 0\
, -1, 1, -1, 0, -1, 2, -2, -2, 0, 0, -2, -2, 1 ], [ 1, 0, 2, -1, -1, 1, -2, 1, 1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 2, -1, -1, 0, 1, -1, -1, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1\
, 0, 2, -1, -1, 1, -2, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 0, 0, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -1, -1, -1, 0, -2, 0, 1, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 0, 0 ], [ 2, 0, 2, -2, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ) ], wa\
lls := [ [ 2, 1, 2, 3, 3, 2, 2, 1, 0, 0 ], [ 2, 1, 2, 3, 3, 3, 2, 1, 1, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 2, 1, 2, 4, 4, 4, 3, 2, 1, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0 ], [ 1, 0, 1, 2, 2, 1, 0, 0, 0, 0 ], [ 4, 3, 6, 9, 7, 5, 4, 2, 1, 0 ], [ 4, 3, 6, 9, 7, 6, 4, 2, 1, 1 ], [ 1, 1, 2, 3, 2, 2, 1, 1, 1, 0 ], [ 4, 3, 6, \
9, 7, 7, 6, 4, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 5, 3, 1, 0 ], [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 2, 1, 3, 5, 4, 3, 3, 2, 1, 1 ], [ 6, 3, 8, 13, 11, 10, 8, 5, \
3, 1 ], [ 2, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], [ 6, 4, 8, 14, 12, 10, 8, 5, 3, 1 ] ], weyl := [ 5, 2, 2, -3, 1, -1, -4, 2, 4, 2, 4, -2, 1, 5, -1, -1, -6, -3, 2\
, -4, -3, -8, -2, -2, -3, -6 ], weylprime := [ 5, 2, 2, -3, 1, -1, -4, 2, 4, 2, 4, -2, 1, 5, -1, -1, -6, -3, 3, -4, -3, -8, -2, -2, -3, -6 ] ), rec( GramL\
26 := [ [ 4, 4, 8, 10, 9, 8, 6, 4, 3, 1, 1, 0, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, -2 ], [ 4, 0, 3, 7, 5, 3, 3, 3, 1, 0, -1, 0, -1, -1, -2, 0, 0, -1\
, -1, 0, 1, -1, -2, -1, -2, 1 ], [ 8, 3, 6, 14, 12, 7, 8, 5, 4, 1, -2, 0, -3, 1, -4, -1, 0, 0, 0, 0, 0, 0, 0, -3, -3, 2 ], [ 10, 7, 14, 20, 18, 14, 12, 8,\
 6, 2, 0, 0, 0, -1, -1, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 9, 5, 12, 18, 14, 12, 9, 8, 4, 2, 0, 0, 1, -1, 0, 1, 0, -1, -1, 0, 1, -1, -2, 0, 0, 0 ], [\
 8, 3, 7, 14, 12, 4, 7, 5, 2, -1, -3, -2, -1, -1, -7, 2, -2, -2, -2, -1, 0, -2, -1, -3, -3, 1 ], [ 6, 3, 8, 12, 9, 7, 4, 5, 1, 0, -1, -1, 1, -3, -1, 1, 0,\
 -2, -2, -2, 2, -2, -2, 0, 0, 0 ], [ 4, 3, 5, 8, 8, 5, 5, 0, 3, -1, -1, 0, -3, -1, -2, -2, -2, -1, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 3, 1, 4, 6, 4, 2, 1, 3, \
-2, -1, -2, -2, 2, -2, -2, 2, 0, -2, -2, -2, 1, -3, -2, 0, 0, 0 ], [ 1, 0, 1, 2, 2, -1, 0, -1, -1, -4, -2, -2, -1, -4, -4, 0, -2, -3, -2, -2, 1, -1, -1, -\
1, -1, -1 ], [ 1, -1, -2, 0, 0, -3, -1, -1, -2, -2, -6, -2, -2, 0, -5, -2, 0, -1, 0, -2, 0, -2, 0, -2, -2, 2 ], [ 0, 0, 0, 0, 0, -2, -1, 0, -2, -2, -2, -4\
, 1, -2, -3, 0, 0, -1, -2, -2, 0, -2, 0, 0, 0, 0 ], [ 1, -1, -3, 0, 1, -1, 1, -3, 2, -1, -2, 1, -8, 0, -3, -6, 0, 1, 2, 0, 0, 2, 2, -2, -4, 2 ], [ -1, -1,\
 1, -1, -1, -1, -3, -1, -2, -4, 0, -2, 0, -10, -1, 0, -2, -4, -4, -4, 4, -2, -2, 2, 0, -2 ], [ 1, -2, -4, -1, 0, -7, -1, -2, -2, -4, -5, -3, -3, -1, -10, \
0, -2, -2, -2, -2, 0, -2, 0, -4, -4, 2 ], [ 1, 0, -1, 1, 1, 2, 1, -2, 2, 0, -2, 0, -6, 0, 0, -8, 2, 2, 2, 0, 0, 2, 2, 0, -2, 2 ], [ -1, 0, 0, -2, 0, -2, 0\
, -2, 0, -2, 0, 0, 0, -2, -2, 2, -4, -2, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, -1, 0, -1, -1, -2, -2, -1, -2, -3, -1, -1, 1, -4, -2, 2, -2, -4, -2, -2, 2, -2, \
-2, 0, 0, -2 ], [ 0, -1, 0, 0, -1, -2, -2, 1, -2, -2, 0, -2, 2, -4, -2, 2, 0, -2, -4, -2, 2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -2, 0, -2, -2, -2, -2\
, 0, -4, -2, 0, 0, -2, -2, -4, 2, -2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 4, 0, 0, 0, 2, 2, 2, -4, 2, 2, 0, 0, 0 ], [ 0, -1, 0, 0, -1, \
-2, -2, 1, -3, -1, -2, -2, 2, -2, -2, 2, 0, -2, -2, -2, 2, -4, -2, 0, 0, 0 ], [ 0, -2, 0, 0, -2, -1, -2, 1, -2, -1, 0, 0, 2, -2, 0, 2, 0, -2, -2, 0, 2, -2\
, -4, 0, 0, 0 ], [ 1, -1, -3, 0, 0, -3, 0, -1, 0, -1, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 2 ], [ 1, -2, -3, 0, 0, -3, 0, -1, 0, -1, -2, 0, -\
4, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -2, 1, 2, -1, 0, 1, 0, -1, 0, -1, 2, 0, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramR := [ [ -\
28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ 24, -29, -56, -6, -10,\
 -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ 0, -11, -10, -16, -16, -2, -3, -2\
2, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, \
2, 2, -4 ], [ 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 4, -6, -\
12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -4, -6, -4, -4, 0, -4, -4, 0,\
 -2, -2, -4, 0, 0, 0, 0 ], [ 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -2, -2,\
 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], NK := "IV", NKisom := [ 1, 5, 14, 19, 15, 17\
, 16, 12, 2, 18, 20, 6, 8, 7, 13, 10, 9, 4, 3, 11 ], No := 8, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1, 0, 1/2, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1, 0, -1/\
2, -1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1/2, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, -1/2, 0, -1/2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, 0, -1/2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1/2, 0, 1/2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1\
/2, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, -1/2, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1/2, 1/2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1, 0, -1/2, -1/2, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1, 0, 1/\
2, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, 0, \
0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1/2, -1/2, -1/2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1/2, 1/2, 1/2, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1/2, 1, 0, -1/2, -1/2, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1, 0, 1/2, 1/2, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0\
, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1, 0, -1/2, -1/2, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1, 0, 1/2, 1/2, 1\
/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2,\
 -1/2, 0, 0, 0 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 1, 0, 1/2, -1/2, -1/2, 1, 0, 1 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, -1/2, 1/2, 1/2, -1, 0, -1 ]\
, [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, -1/2, 0, 0, -1, 0, -1 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 1, 0, 1/2, 0, 0, 1, 0, 1 ], [ 1/2, 0, 1/2, 0, 0, 0, \
0, 0, 0, 0, -1/2, -1, -1, 0, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/\
2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, \
0, 0, 0, 0, 0, 1/2, 1, 1/2, 0, 0, 0 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1, -1/2, 0, 0, 0 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 1, 0, 1/2, 0, -1/2\
, 1, 0, 1 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, -1/2, 0, 1/2, -1, 0, -1 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, -1/2, 1/2, 0, -1, 0, -1 ], [ 1/2\
, 1, -1/2, 0, 0, 0, 0, -1/2, 1, 0, 1/2, -1/2, 0, 1, 0, 1 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, -1, 0, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0,\
 0, 0, 1/2, 1/2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0 ], [ -1/2, 0\
, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, -1/2, 1, 0, 0, 0, 0\
, 1, 0, 1 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, 0, 0, 0, -1, 0, -1 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 1/2, -1, 0, -1, 1/2, 1/2, -1, 0, -1 ], [ 1/2, 1, \
-1/2, 0, 0, 0, 0, -1/2, 1, 0, 1, -1/2, -1/2, 1, 0, 1 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1, -1/2, -1/2, 0, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, \
0, 1, 1/2, 1/2, 0, 0, 0 ], [ 0, 1, -1, 0, 0, 0, 0, -1/2, 1, 0, 1, 1/2, 1/2, 1, 0, 1 ], [ 0, -1, 1, 0, 0, 0, 0, 1/2, -1, 0, -1, -1/2, -1/2, -1, 0, -1 ], [ \
-1, -1, 0, 0, 0, 0, 0, 1/2, -1, 0, 0, 1, 1, -1, 0, -1 ], [ 1, 1, 0, 0, 0, 0, 0, -1/2, 1, 0, 0, -1, -1, 1, 0, 1 ] ], embR := [ [ 0, 0, 0, 0, 0, 0, 1, -2, 0\
, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0\
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1, 0, 0, 0 ] ], generatorsOL10D := [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 8, 13\
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eriorpt := [ 24, 16, 34, 50, 46, 38, 32, 21, 12, 5 ], isomto := [ ], m4R := 2080, name := "20F", ogR := 16986931200, orderOL10D := 320, projR := [ [ 0, -6\
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0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootsR := [ [ 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 1, 1,\
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1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ]\
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0, 1, 0, 0 ], [ 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeR := [ "A3", "A3" ], volindex := 23040, wallrecs := [ rec( GramQ := [ [ -4\
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 ], [ -3, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -12, 0, 4, 4, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2,\
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, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -2, 0, 0, 1\
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 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ],\
 [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -\
1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1 ], \
[ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3\
" ], theg := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
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0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 1, 0, 0, 0, 0, 12, 0, 6, 6, 0, -6, 0, -6, -1, -6, 0, -3, -24, -24, -3, -6, 6,\
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2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -6, -2, -3, -6, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 1, \
-1, 0 ], [ -2, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -3, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -6\
, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ 0, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ 0, 0, \
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-3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ 0, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 0, 8, -4, -8, -2, -2, -2, -4, \
-4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -2, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -2, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2,\
 -2, 0, 0, 0 ], [ 0, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ -4, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ 1, 2, -4,\
 -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -1, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 0, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2,\
 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, -12, 4, 0, 0, 0, 0, 0, 0 ], [ 2, 4, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -4, 2, \
0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0 ], [ 0, 0, \
1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, \
-1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2\
, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, -2, 0, 4, -4, 2, -4, 0, 13, 0, 6, 7, -1, -7, 1, -6, -3, -7, -2, 0, -26, -27, 3, -8, 7, 6 ], embQ := [ \
[ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0,\
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 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, -6, 4, 0, 0, 0, 0, 0, \
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 -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -1, -1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2\
, 0 ], [ 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1, 1, 1, 1, 1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2,\
 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0 ], [ -1, 0, 0, 0, \
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, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 1, \
-1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ \
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-1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 0, \
-1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0,\
 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1,\
 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0,\
 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, \
0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 8, 0, 4, 4, \
0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -1, -4, 4, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 16, 0, 8, 8, 0, -8, 0, -8, 0, -8, 0, -4, -32, -32, -4, -8, 8, 8 ], [ 0, 0,\
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-10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0\
, 0, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, 3, 0, -4, -1, -3, 1, -3, 1, -1, -13, -\
13, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -\
2, -1, -1, 1, -1, 1, 0, -5, -5, -1, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -1, 1, 1, -6, -6, -1, -1, 3, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 4, 0, 2, 2, 1, -3, -1, -2, 1, -2, 2, 0, -7, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 2, 0, 1, 5, 5, 0, 3, -1\
, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1, 1, 1, 2, 5, 5, 1, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -1,\
 1, -1, -7, -7, -2, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 3, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -7, -8, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -8, -7, -1, \
-2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -60, 27, -26, -53, 3, -1, -6, -26, -3, -6, -10, -8, -3, -9, -2, 4, -6 ], [ 27, -28, 11, 24, -2, 0, 6\
, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -26, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -53, 24, -29, -56, -6, -10, -6, -28, \
-14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ 3, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -1, 0, -11, -10, -16, -16, -2, -3, -22, \
-2, -3, -4, -4, 0, -4, -4, 2 ], [ -6, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -26, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4\
, -4, 2, 2, -4 ], [ -3, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ -6, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2\
 ], [ -10, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -8, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -3, -2, -4\
, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ -9, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -2, 2, -4, -2, -6, -4, -2, 2, -8, 0,\
 0, 0, 0, 0, -4, -2, 2 ], [ 4, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -6, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], Gr\
amQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, -4, 4, -4, 4, 2 ], [ 2, 0, 6, -8, 6, -4, 4, -4, -2 ], [ 0, 0, \
-4, 6, -8, 6, -4, 4, 2 ], [ 0, 0, 4, -4, 6, -8, 6, -4, -2 ], [ 0, 0, -4, 4, -4, 6, -8, 6, 2 ], [ 0, 0, 4, -4, 4, -4, 6, -8, 0 ], [ 0, 0, 2, -2, 2, -2, 2, \
0, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, -1, 0, -1 ], [ -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, \
1, 0 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 1, -1, 1, 1, 1, 0, 0, 1 ] ], adjweyl := [ 2, 2, -4, 6, -6, 4, -5, 0, 15, 0, 6, 7, -1, -7, 1, -6, -5, -7, -3, 0, -28, -30, 2, -7, 6, 6 ], embQ := [ [ 0, 0\
, 1, -1, 1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0,\
 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -2, 2, 1, 0 ], [ 2, 0, 2, -4, \
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, -2, 0, 1, -1, -1\
, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3, 1, -1, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1,\
 0, 0, 2, 0, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 1, -4, -6, 1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ] ], r := [ 4, 3, 6, 8, 7, 5, 4, 2, 1, 0 ], rlifts := [ [ 0, 0, -1, 1, -1, 1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, -1, -2, 0, 1, 0, 1 ], [ 0, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, -1, -1, 1, -1, 0, -1 ] ], rootsQ := [ [ 1, 1, 0, -1, 0, \
0, 0, 0, 0, 2, 0, 1, 0, -1, 1, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, -1, 0, -1 ], [ 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1\
 ], [ -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, \
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, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0,\
 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], \
[ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1,\
 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, \
1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0,\
 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, -1, 0, 0, -1, -1,\
 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -5, -8, -7, -5, -4, -2, -1, 0 ], [ 4, 3, 6, 9, 7, 5, 4, 2, 1, 0 ], [ -4, -3, -6, -8, \
-6, -5, -4, -2, -1, 0 ], [ 4, 3, 6, 8, 7, 6, 4, 2, 1, 0 ], [ -4, -3, -6, -8, -7, -5, -3, -2, -1, 0 ], [ 4, 3, 6, 8, 7, 5, 4, 3, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0 ], [ 4, 3, 6, 8, 7, 5, 4, 2, 1, 1 ] ], thegtilde := [ [ 1, 0, -4, 4, -4, 4, -2, 0, 16, 0, 6, 6, 0, -6, 0, -6, -4, -6, -2, -3, -28, -30, -1, -\
6, 6, 6 ], [ 0, 1, -3, 3, -3, 3, -1, -1, 12, -1, 4, 4, 0, -4, 0, -3, -2, -4, -1, -2, -19, -21, -1, -3, 4, 5 ], [ 0, 0, -5, 6, -6, 6, -3, 0, 22, 0, 8, 8, 0\
, -8, 0, -8, -6, -8, -3, -4, -38, -41, -1, -8, 8, 8 ], [ 0, 0, -8, 9, -8, 8, -4, 0, 32, 0, 12, 12, 0, -12, 0, -12, -8, -12, -4, -6, -56, -60, -2, -12, 12,\
 12 ], [ 0, 0, -7, 7, -6, 7, -3, -1, 28, -1, 10, 10, 0, -10, 0, -9, -6, -10, -3, -5, -47, -51, -2, -9, 10, 11 ], [ 0, 0, -6, 6, -6, 7, -3, 0, 26, 0, 10, 1\
0, 0, -10, 0, -10, -6, -10, -3, -5, -46, -49, -2, -10, 10, 10 ], [ 0, 0, -4, 4, -4, 4, -1, 0, 16, 0, 6, 6, 0, -6, 0, -6, -4, -6, -2, -3, -28, -30, -1, -6,\
 6, 6 ], [ 0, 0, -2, 2, -2, 2, -1, 1, 9, 0, 3, 3, 0, -4, -1, -3, -1, -3, 0, -1, -15, -16, -1, -3, 4, 3 ], [ 0, 0, -2, 2, -2, 2, -1, 0, 11, 0, 4, 4, 0, -4,\
 0, -4, -2, -4, -1, -2, -18, -19, -1, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, 0, -5, -5, -1, -1, 2, 1 ], [ 0, 0, -1, 1,\
 -1, 1, -1, 1, 4, 1, 1, 1, -1, -3, -1, -1, 0, -1, 0, 1, -7, -7, 0, -2, 3, 0 ], [ 0, 0, -1, 1, -1, 1, -1, 1, 4, 1, 2, 2, 1, -3, -1, -3, -1, -2, 1, 0, -8, -\
8, 0, -3, 2, 1 ], [ 0, 0, 1, -1, 1, -1, 0, 1, -4, 1, -2, -1, 0, 1, -1, 1, 1, 2, 0, 1, 6, 7, 0, 1, 0, -3 ], [ 0, 0, 1, -1, 1, -1, 0, 1, -4, 1, -2, -2, 0, 1\
, 0, 1, 1, 1, 1, 2, 6, 7, 1, 0, -1, -2 ], [ 0, 0, -1, 1, -1, 1, -1, 1, 4, 1, 2, 2, 0, -2, -1, -3, -1, -1, 0, -1, -8, -8, -1, -2, 3, 0 ], [ 0, 0, 1, -1, 1,\
 -1, 0, 1, -4, 1, -2, -2, 0, 0, -2, 2, 2, 2, 2, 2, 7, 8, 0, 1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 0, -1, 1, 0, 1, 1, -2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, \
-2, 0, -1, -7, -8, -1, -2, 2, 2 ], [ 0, 0, -2, 2, -2, 2, -1, 0, 6, 0, 2, 2, 0, -2, 0, -2, -2, -2, -1, -1, -10, -10, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, \
-2, 2, -2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, -1, 0, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ]\
 ), rec( GramQ := [ [ -88, 47, -24, -50, 3, 0, -10, -21, -6, -12, -9, -2, 1, -3, -4, 4, -10 ], [ 47, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, \
6 ], [ -24, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -50, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2\
, -6 ], [ 3, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ 0, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [\
 -10, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -21, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -6, 4, -18, \
-14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ -12, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -9, 4, -6, -12, -3, -3, -\
1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -2, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ 1, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -\
2, -4, 0, 0, 0, 0 ], [ -3, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -4, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ 4, -2\
, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -10, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0\
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 ], adjweyl := [ 2, 2, -4, 6, -4, 4, -8, 0, 17, 0, 8, 9, -1, -9, 1, -8, -5, -9, -3, 1, -34, -35, 2, -9, 8, 8 ], embQ := [ [ 0, 0, 1, -1, 0, -1, 0, 4, 0, 0\
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bQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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4, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 1, 2, -3, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -4, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1, 3, 3, 1, 3, 0, -2, -1 \
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-1, 1, -1, 0, 0, 0 ] ], r := [ 4, 3, 6, 8, 7, 6, 6, 4, 2, 1 ], rlifts := [ [ 0, 0, -1, 1, 0, 1, -2, 0, 2, 0, 1, 1, 0, -1, 0, -1, -1, -1, 0, 0, -4, -4, 0, \
-1, 1, 1 ], [ 0, 0, -1, 1, 0, 1, -2, 0, 2, 0, 1, 1, 0, -1, 0, -1, -1, -1, -1, 1, -4, -4, 1, -1, 1, 1 ] ], rootsQ := [ [ -1, -2, 2, 0, 1, 1, 0, -1, -2, -1,\
 -1, -1, 1, 1, -1, 1, 1 ], [ 1, 2, -2, 0, -1, -1, 0, 1, 2, 1, 1, 1, -1, -1, 1, -1, -1 ], [ -1, -2, 2, 0, 1, 1, 0, -1, -2, -1, -1, 0, 0, 0, -1, 1, 1 ], [ 1\
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 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -\
1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -\
1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, \
1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0,\
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, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, -10, 10, 0, 10, -20, 0, 32, 0, 16, 16, 0, -16, 0, -16, -10, -16, -5, 2, -64, -64, 2, \
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6, 0, 17, -32, 0, 52, 0, 26, 26, 0, -26, 0, -26, -16, -26, -8, 3, -104, -104, 3, -26, 26, 26 ], [ 0, 0, -12, 12, 0, 12, -23, 0, 36, 0, 18, 18, 0, -18, 0, \
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 -1, -3, 0, 0, -15, -15, -1, -3, 5, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
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, -1, -16, -15, -1, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -44, 24, 38, 1, 3, 6, 2, 7, 8, 0, -4, -6, 14, -4, 2, -2, 6 ], [ 24, -20, -25, -\
1, -3, -2, 0, -3, -2, 2, 2, 4, -12, 2, 0, 2, -2 ], [ 38, -25, -48, 0, -4, -6, -12, -8, -8, -4, -2, 2, -10, 0, -2, 2, -6 ], [ 1, -1, 0, -6, -2, 0, 6, -5, 0\
, 1, 2, 0, -4, 2, -2, -2, 2 ], [ 3, -3, -4, -2, -4, 1, 2, -3, 0, 1, 0, 0, -4, 2, 0, 0, 0 ], [ 6, -2, -6, 0, 1, -4, -2, -3, -2, -1, 0, 0, 0, 0, -2, -2, 0 ]\
, [ 2, 0, -12, 6, 2, -2, -18, 3, -4, -6, -6, -4, 8, -4, 2, 2, -4 ], [ 7, -3, -8, -5, -3, -3, 3, -10, -2, 0, 0, 0, -4, 2, -4, -4, 2 ], [ 8, -2, -8, 0, 0, -\
2, -4, -2, -4, -2, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 2, -4, 1, 1, -1, -6, 0, -2, -4, -2, -2, 4, -2, 0, 0, -2 ], [ -4, 2, -2, 2, 0, 0, -6, 0, 0, -2, -4, -2, 4, \
-2, 0, 0, 0 ], [ -6, 4, 2, 0, 0, 0, -4, 0, 0, -2, -2, -4, 4, 0, 0, 0, 0 ], [ 14, -12, -10, -4, -4, 0, 8, -4, 0, 4, 4, 4, -12, 4, 0, 0, 0 ], [ -4, 2, 0, 2,\
 2, 0, -4, 2, 0, -2, -2, 0, 4, -4, 0, 0, 0 ], [ 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, 0,\
 -2, -4, 2 ], [ 6, -2, -6, 2, 0, 0, -4, 2, -2, -2, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, \
2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1 ], [ 0, -1, 1, \
0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, 0, -1 ], [ 0, 0, 0, -1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 2, -2, 0, -2, -1, -1, \
0, -1, -1, 0 ], [ 0, 1, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, -2, -1, 0, 1, 0 ], [ 0, 1, 0, 1, 0, 1, -1, 0, 0, -1, 1, 0, -2, 0, -1, 0, 1 ], [ 0, 0, 0, -1, 1, 0,\
 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 1 ] ], adjweyl := [ 2, 2, -2, 4, -4, 2, -4, 0, 13, 0, 6, 7, -1, \
-7, 1, -6, -3, -7, -2, -1, -27, -26, 0, -7, 6, 6 ], embQ := [ [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
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rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], \
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1, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -30, -62, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ 8, -11, -11, -6, -22, \
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-2, -2, 0, 0, -2 ], [ -4, -9, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ 0, -4, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [\
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, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -4, -6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, \
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, 0, 6, 7, -1, -7, 1, -6, -3, -7, -2, 1, -25, -27, 2, -7, 6, 6 ], embQ := [ [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -3, 0, 0, 0\
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0, 0, 1, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0 ] ], rootsQ := [ [ 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, \
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 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1\
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0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ -1, 1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0,\
 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 12, 0, 6, 6, 0,\
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 0, 0, 0, 0, 0, 16, 0, 8, 8, 0, -8, 0, -8, 0, -8, 0, -4, -32, -32, -4, -8, 8, 8 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 24, 0, 12, 12, 0, -12, 0, -12, 0, -12, 0, -6,\
 -48, -48, -6, -12, 12, 12 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0, 0, 1, 1, \
-1, 19, 1, 10, 10, 0, -10, 0, -10, 0, -10, -1, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -24, -2\
4, -3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, 3, 0, -4, -1, -3, 1, -3, 1, -1, -13, -13, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 7, 0, 4, 4, 0, -\
4, 0, -4, 0, -4, 0, -1, -15, -16, -1, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, 0, -5, -5, -1, -1, 2, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 1, 3, -1, 1, 1, -1, -3, -1, 0, 2, -1, 2, 2, -5, -6, 0, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 3, 1, 2, 2, 1, -3, -1, -2, 1, -2, 1, 0, -7, -7, -1,\
 -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -2, -1, 0, 1, -1, 2, 1, 2, 1, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -2, -2, 0, 1, 0, 2\
, 1, 1, 0, 1, 4, 5, 0, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 3, 1, 2, 2, 0, -2, -1, -2, 1, -1, 0, -1, -7, -7, -2, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, -1, -2, -2, 0, 0, -2, 3, 2, 2, 3, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, \
-7, -8, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -7, -7, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ \
-24, 6, 10, 6, 4, 9, 1, 8, 7, 4, 0, -4, -2, -4, 2, 2, 2 ], [ 6, -16, -19, -15, -13, -5, -7, -20, -2, -2, -4, -4, -4, -2, -4, -4, 2 ], [ 10, -19, -32, -14,\
 -14, -4, -14, -18, -2, -4, -8, -6, -6, -4, -2, -2, -2 ], [ 6, -15, -14, -22, -16, -7, -3, -26, -4, -2, -3, -2, -4, 0, -6, -6, 4 ], [ 4, -13, -14, -16, -1\
6, -4, -5, -22, -2, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 9, -5, -4, -7, -4, -8, 0, -8, -6, 0, 1, 2, 0, 2, -2, -4, 2 ], [ 1, -7, -14, -3, -5, 0, -10, -4, 0, -\
2, -4, -4, -4, -2, 2, 0, -2 ], [ 8, -20, -18, -26, -22, -8, -4, -36, -2, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 7, -2, -2, -4, -2, -6, 0, -2, -8, 2, 2, 2, 0, 2\
, 0, -2, 2 ], [ 4, -2, -4, -2, -2, 0, -2, -4, 2, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 0, -4, -8, -3, -3, 1, -4, -4, 2, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -4, -4,\
 -6, -2, -4, 2, -4, -4, 2, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -4, -6, -4, -4, 0, -4, -4, 0, 0, -2, -2, -4, 0, 0, 0, 0 ], [ -4, -2, -4, 0, 0, 2, -2, 0, 2,\
 0, -2, -2, 0, -4, 0, 0, 0 ], [ 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, 0, -4, -2, 2 ], [ 2, -4, -2, -6, -4, -4, 0, -8, -2, 0, 0, 0, 0, 0, -2, -4, 2 \
], [ 2, 2, -2, 4, 2, 2, -2, 4, 2, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4\
, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -8, 8, -2 ], [ 0\
, 0, 0, 0, 0, 0, 8, -12, 4 ], [ 0, 0, 0, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 1, 2, 0, 1, 1, 0, -1, -2, 0, 1, -1, 0, -1, -1, 0, 1, 2 ], [ -1, 0, 0, 1, 1, \
0, -1, -1, -2, -1, -1, 0, 1, 1, -2, 1, 0 ], [ 0, 1, 0, 1, 1, 0, 0, -2, -1, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 1, 0, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, -1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 1, 0, 1, 0, 1, -1, -1, -\
1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, -1, -1, -2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 2, -2, 4, -4, 2, -4, 0, 15, 0, 8, 9, -1, -9, 1,\
 -8, -3, -9, -2, 0, -31, -32, 1, -9, 8, 8 ], embQ := [ [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, -1, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -1, -1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2, 0 ], [ 0, 0, 0, 0\
, 0, 2, -4, 0, 2, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1, 0, 0, 1, 0, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 2, -3, -5, 2, \
-2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], rlifts := [ [ 0,\
 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, 1, 0, -1, 0, -2, -1, -1, 0, 1, -2, -2, 1, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 2, 0, 1, 1, 0, -1, 0, 0, 1, -1, 0, -1, -3\
, -3, -1, 0, 1, 2 ] ], rootsQ := [ [ 1, 2, 0, 1, 1, 0, -1, -2, 0, 1, -1, 0, -1, -1, 0, 1, 2 ], [ -1, -2, 0, -1, -1, 0, 1, 2, 0, -1, 1, 0, 1, 1, 0, -1, -2 \
], [ 1, 0, 0, -1, -1, 0, 1, 1, 2, 1, 1, 0, -1, -1, 2, -1, 0 ], [ -1, 0, 0, 1, 1, 0, -1, -1, -2, -1, -1, 0, 1, 1, -2, 1, 0 ], [ 0, -1, 0, -1, -1, 0, -1, 1,\
 2, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 1, 0, 1, 1, 0, 1, -1, -2, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0\
, 1, 0, 1, 1, 0, 0, -2, -1, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, \
-1, -1, 0, -1, 0, 1 ], [ 0, -1, 0, -1, -1, 0, 1, 2, 0, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 1, 0, 1, 1, 0, -1, -2, 0, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 1, 2, 0, 2, 1, 0, 1\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, -1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 1, 0, 0, -1, -1, -1, 0, 1, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 0, 1, 1, 1, \
0, -1, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [\
 0, 1, 0, 1, 0, 1, -1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, -1, 0, -1, 0, -1, 1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, -1, -1, -2, 0, 1, 2, 1, \
0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 1, 2, 0, -1, -2, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, -1, 0, \
1, 0, 1, 1, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, -\
1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 18, 0, 12, 12\
, 0, -12, 0, -12, 0, -12, 0, -3, -39, -39, -3, -12, 12, 12 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 12, 0, 8, 8, 0, -8, 0, -8, 0, -8, 0, -2, -26, -26, -2, -8, 8, 8 ],\
 [ 0, 0, 1, 0, 0, 0, 0, 0, 24, 0, 16, 16, 0, -16, 0, -16, 0, -16, 0, -4, -52, -52, -4, -16, 16, 16 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 36, 0, 24, 24, 0, -24, 0, \
-24, 0, -24, 0, -6, -78, -78, -6, -24, 24, 24 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 30, 0, 20, 20, 0, -20, 0, -20, 0, -20, 0, -5, -65, -65, -5, -20, 20, 20 ], [ 0,\
 0, 0, 0, 0, 1, 0, 0, 28, 0, 18, 18, 0, -18, 0, -18, 0, -18, 0, -5, -60, -60, -5, -18, 18, 18 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 18, 0, 12, 12, 0, -12, 0, -12, \
0, -12, 0, -3, -39, -39, -3, -12, 12, 12 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 13, 0, 8, 8, 0, -9, -1, -7, 2, -8, 1, -2, -26, -26, -3, -7, 9, 9 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 11, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -2, -21, -21, -2, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 3, 3, 0, -4, -1, -3, 1, -3, 1, 0, -10, -10, \
-1, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -1, 1, 1, -6, -6, -1, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, -3, -1,\
 -2, 1, -2, 2, 0, -7, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 2, 0, 0, 1, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -1, 1, -1, -7, -7, -2, -1, 3, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -\
2, 0, -1, -7, -8, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( G\
ramQ := [ [ -30, 19, -1, -17, 16, 12, 0, -10, 18, -4, -3, 1, 2, -2, 4, 8, -8 ], [ 19, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -1, 11, \
-20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -17, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ 16, -2\
, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ 12, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 0, 6, -5, -6,\
 -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -10, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ 18, 4, -18, -14, -26, -22, -\
6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ -4, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -3, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4\
, -2, -2, -2, 0, 0, -2 ], [ 1, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ 2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 \
], [ -2, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ 4, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ 8, -2, -2, 2, -6, -4, -2\
, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -8, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -8, 8, -2, 0, 0 ], [ 0, 0, 0, 0, 8, -12, 4, 0, 0 ],\
 [ 0, 0, 0, 0, -2, 4, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, -\
1, 1, 1, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, \
0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 2, -2, 4, -2, -2, -2, 0,\
 13, 0, 6, 7, -1, -7, 1, -6, -1, -7, 0, -1, -24, -25, -1, -5, 8, 6 ], embQ := [ [ 0, 0, 0, 0, 1, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0\
, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [\
 0, 0, 0, 2, -4, 0, 3, 0, 0, 0, 1, 1, 0, -1, 0, -1, -1, -1, 0, -1, -2, -2, 1, -1, 1, 1 ], [ 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2, -2, 0, 2, 0, 2, 0, 2, 0, 1,\
 4, 4, 0, 2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 1, 0, 1, 1, -1, 1, 1, 0 ] ], rootsQ := [ [ -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, -1, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1\
, -1, 1, 1, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 1, 0 ], [ 0, 0, -1, 0, -1, -\
1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ]\
, [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2\
, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1\
, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1,\
 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ]\
, [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1\
, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, -1,\
 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1\
, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 12, 0, 6, 6, 0\
, -6, 0, -6, 0, -6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, 4, 4 ], [ 0, 0, 1\
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, -48, -48, -6, -12, 12, 12 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0, 1, -1, 1\
, 0, 20, 0, 10, 10, 0, -10, 0, -10, 1, -10, 1, -6, -39, -39, -6, -9, 11, 10 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -4, -24, -24\
, -3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, 3, 0, -4, -1, -3, 1, -3, 1, -1, -13, -13, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 4, 0, -4\
, 0, -4, 0, -4, 0, -3, -16, -16, -2, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, -1, -5, -5, -1, -1, 2, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -1, 1, 0, -6, -6, -1, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, -3, -1, -2, 1, -2, 2, -1, -7, -7, -1,\
 -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 2, 0, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1\
, 1, 1, 0, 5, 5, 1, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -1, 1, -2, -7, -7, -2, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, \
0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -7, -8, -\
1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -2, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -46, -4\
, -14, -4, -26, -22, -6, 1, -36, -2, -1, -4, -4, 2, -8, -10, 7 ], [ -4, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -14, 11, -20, -29, -11\
, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -4, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -26, -2, -11, -6, -2\
2, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -22, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ -6, 6, -5, -6, -3, -2, -4\
, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 1, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -36, 4, -18, -14, -26, -22, -6, -2, -36, \
-4, -4, -4, -4, 0, -8, -8, 4 ], [ -2, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -1, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2\
, 0, 0, -2 ], [ -4, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -4, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0,\
 -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -8, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -10, -2, -2, 2, -6, -4, -2, 2, -8,\
 0, 0, 0, 0, 0, -2, -4, 2 ], [ 7, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0\
, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 10, -6, 2, 0, 0 ], [ 0, 0, 0, 10, -20, 14, -4, 0, 0 ], [ 0, 0, 0, -6, 14, -12, 4, 0, 0 ], [\
 0, 0, 0, 2, -4, 4, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, -1, 1, 0, 1, 1, 0, -1, -2, -1, -2, -1, 1\
, 2, -2, 0, 1 ], [ 1, -1, 1, 0, 1, 1, 0, -1, -2, -2, 0, -1, 0, 1, -2, 0, 1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 \
], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 2, -2, 6, -8, 6,\
 -6, 0, 15, 0, 8, 9, -1, -9, 1, -8, -6, -9, -4, 1, -34, -35, 4, -11, 6, 8 ], embQ := [ [ 0, 0, 0, 1, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0\
, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4\
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, 0 ] ], r := [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 1 ], rlifts := [ [ 0, 0, 0, 2, -2, 0, -1, 1, 2, -1, 1, 1, 0, -1, 0, -1, -1, -1, 0, 1, -3, -4, 2, -1, 1, 1 ],\
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[ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, \
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 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0\
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 -10, -6, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -12, -10, -7, -5, -3, -1 ], [ 6, 4, 8, 12, 12, 10, 8, 6, 3, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0 ], [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 2 ] ], thegtilde := [ [ 1, 0, 0, 24, -24, 0, -6, 0, 36, 0, 18, 18, 0, -18, 0, -18, -12, -18, 0, -3, -66, -72\
, 9, -18, 18, 18 ], [ 0, 1, 0, 16, -16, 0, -4, 0, 24, 0, 12, 12, 0, -12, 0, -12, -8, -12, 0, -2, -44, -48, 6, -12, 12, 12 ], [ 0, 0, 1, 32, -32, 0, -8, 0,\
 48, 0, 24, 24, 0, -24, 0, -24, -16, -24, 0, -4, -88, -96, 12, -24, 24, 24 ], [ 0, 0, 0, 49, -48, 0, -12, 0, 72, 0, 36, 36, 0, -36, 0, -36, -24, -36, 0, -\
6, -132, -144, 18, -36, 36, 36 ], [ 0, 0, 0, 44, -43, 0, -11, 0, 64, 0, 32, 32, 0, -32, 0, -32, -22, -32, 0, -5, -117, -128, 17, -32, 32, 32 ], [ 0, 0, 0,\
 42, -42, 1, -11, 1, 62, -1, 31, 31, 0, -31, 0, -31, -21, -31, 0, -4, -113, -124, 17, -31, 31, 31 ], [ 0, 0, 0, 28, -28, 0, -6, 0, 40, 0, 20, 20, 0, -20, \
0, -20, -14, -20, 0, -3, -73, -80, 11, -20, 20, 20 ], [ 0, 0, 0, 18, -18, 0, -4, 0, 25, 1, 12, 12, 0, -13, -1, -12, -8, -12, 1, -2, -45, -49, 6, -12, 13, \
12 ], [ 0, 0, 0, 16, -16, 0, -4, 0, 25, 0, 12, 12, 0, -12, 0, -12, -8, -12, 0, -2, -44, -48, 6, -12, 12, 12 ], [ 0, 0, 0, 6, -6, 0, -2, 1, 9, 0, 4, 4, 0, \
-5, -1, -4, -2, -4, 1, 1, -15, -17, 3, -4, 5, 4 ], [ 0, 0, 0, 6, -6, 0, -1, -1, 10, 1, 4, 4, -1, -6, -1, -3, -1, -4, 1, 0, -17, -18, 1, -4, 6, 4 ], [ 0, 0\
, 0, 6, -6, 0, -2, 1, 10, -1, 5, 5, 1, -6, -1, -5, -2, -5, 2, 1, -17, -19, 3, -5, 5, 5 ], [ 0, 0, 0, -2, 2, 0, 1, -1, -4, 1, -3, -2, 0, 2, -1, 3, 2, 3, 0,\
 0, 8, 9, -2, 3, -1, -3 ], [ 0, 0, 0, -2, 2, 0, 0, 1, -4, -1, -3, -3, 0, 2, 0, 3, 2, 2, 1, 3, 9, 9, 1, 2, -2, -2 ], [ 0, 0, 0, 6, -6, 0, -2, 1, 10, -1, 5,\
 5, 0, -5, -1, -5, -2, -4, 1, 0, -17, -19, 2, -4, 6, 4 ], [ 0, 0, 0, -2, 2, 0, 1, -1, -4, 1, -3, -3, 0, 1, -2, 4, 3, 3, 2, 1, 9, 10, -2, 3, -1, -3 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 4, -4, 0, -1, 0, 8, 0, 4, 4, 0, -4, 0, -4, -2, -4, 0, -1, -14, -16, 1, -4, 4, 4 ], [ 0, 0, 0, 8, -8, 0, -2, 0, 12, 0, 6, 6, 0\
, -6, 0, -6, -4, -6, 0, -1, -22, -23, 3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -94, -35, 4, 34, -30, -21, 1, 22, -32, 8, 5, 0, -3, 3, -8, \
-14, 14 ], [ -35, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ 4, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ \
34, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -30, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -2\
1, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 1, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 22, 10, -13, -2\
8, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -32, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 8, 8, -4, -8, -2, -2, \
-2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 5, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ 0, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -\
4, -2, -2, 0, 0, 0 ], [ -3, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 3, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -8,\
 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -14, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 14, 6, 0, -6, 4, 2, 0, -4, 4\
, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 0, -4, 4, -2, -2 ], [ 2, 0,\
 6, -8, 2, 4, -4, 2, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, -4, 4, 2, -8, 6, -2, -2 ], [ 0, 0, 4, -4, 0, 6, -8, 4, 2 ], [ 0, 0, -2, 2, 0, -2, 4, -4,\
 0 ], [ 0, 0, -2, 2, 0, -2, 2, 0, -4 ] ], Sigma := [ [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0\
, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ]\
, [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 2, 0, 2, -4, 4, -6, 0, 15, 0, 6, 7, -1, -7, 1, -6, -3, -7, -3, 0, -28, -29, \
1, -9, 4, 6 ], embQ := [ [ 0, 0, 1, -1, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, \
0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0,\
 -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -\
2, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2\
, 0, -1, 0, -1, -1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 1, 2, -3, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, -2, 0,\
 -1, -1, 0, 1, 0, 1, -1, 1, -1, 2, 2, 1, 2, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 2, 1, 2, 4, 3, 2, 2, 1, 0, 0 ], rlifts := [ [ 0, 0, 1, -1, 0, 1, -1, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0 ] ], \
rootsQ := [ [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0,\
 -1, 0, 0, -1, 0, 0, -1, -1, 0 ], [ -1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ \
0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, \
-1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, \
0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1\
, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, \
0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1\
, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, \
0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3\
", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 2, 2, 1, 0, 0 ], [ -2, -1, -2, -3, -3, -2, -2, -\
1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 3, 2, 1, 0, 0 ], [ -2, -1, -2, -4, -3, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],\
 [ 2, 1, 2, 4, 3, 2, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, -2, 0, 2, -2, 0, 14, 0, 6, 6, 0, -6, 0, -6, 0, -6, -1, -3\
, -26, -26, -3, -8, 4, 6 ], [ 0, 1, 1, -1, 0, 1, -1, 0, 9, 0, 4, 4, 0, -4, 0, -4, 0, -4, -1, -2, -17, -17, -2, -5, 3, 4 ], [ 0, 0, 3, -2, 0, 2, -2, 0, 18,\
 0, 8, 8, 0, -8, 0, -8, 0, -8, -1, -4, -34, -34, -4, -10, 6, 8 ], [ 0, 0, 4, -3, 0, 4, -4, 0, 28, 0, 12, 12, 0, -12, 0, -12, 0, -12, -2, -6, -52, -52, -6,\
 -16, 8, 12 ], [ 0, 0, 3, -3, 1, 3, -3, 0, 23, 0, 10, 10, 0, -10, 0, -10, 0, -10, -2, -5, -43, -43, -5, -13, 7, 10 ], [ 0, 0, 2, -2, 0, 3, -2, 0, 22, 0, 1\
0, 10, 0, -10, 0, -10, 0, -10, -2, -5, -42, -42, -5, -12, 8, 10 ], [ 0, 0, 2, -2, 0, 2, -1, 0, 14, 0, 6, 6, 0, -6, 0, -6, 0, -6, -2, -3, -26, -26, -3, -8,\
 4, 6 ], [ 0, 0, 1, -1, 0, 1, -1, 1, 8, 0, 3, 3, 0, -4, -1, -3, 1, -3, 1, -1, -14, -14, -2, -4, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 4, 0, -4, 0, -4\
, 0, -4, -1, -2, -16, -16, -2, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 0, 0, -5, -5, -1, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -1, 1, 1, -6, -6, -1, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, -3, -1, -2, 1, -2, 1, 0, -7, -7, -1, -2, 2, \
2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 2, 1, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1, 1, -1,\
 2, 5, 5, 1, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -1, 0, -1, -7, -7, -2, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, \
-2, 0, 0, -2, 3, 2, 2, 3, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 1, -1, -7, -8, -1, -2,\
 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, -1, -1, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -26, -16, -\
3, 10, -15, -11, -1, 7, -18, 4, 2, -2, -2, 0, -5, -7, 8 ], [ -16, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -3, 11, -20, -29, -11, -11, \
-5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ 10, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -15, -2, -11, -6, -22, -16,\
 -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -11, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ -1, 6, -5, -6, -3, -2, -4, -2, -\
6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 7, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -18, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4,\
 -4, -4, 0, -8, -8, 4 ], [ 4, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 2, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -\
2 ], [ -2, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -8, \
0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -5, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -7, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, \
0, 0, -2, -4, 2 ], [ 8, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0,\
 0 ], [ 0, 2, -8, 2, 0, 2, 2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 2, 0, 2, -4, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, \
-4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, -1, 1, 0, 1, 1, 0, -1, -2, 0, 0, 0, 0, 0, -2, 0, 0 ], [ 1, -\
1, 1, 0, 1, 1, 0, -1, -2, 0, -2, 0, 1, 1, -1, 1, 2 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1,\
 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1\
, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 2, 0, 4, -4, 2, -6, 0, 15, 0, 8, 9, -1, \
-9, 1, -8, -3, -9, -2, 1, -32, -33, 2, -10, 7, 8 ], embQ := [ [ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 2, -3, 0, 0, 0, -1, \
-1, 0, 1, 0, 1, -2, 1, -1, 1, 1, 1, 0, 2, -1, -1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 2, -\
4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, -1, -1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 2, 1, 2, 4, 4, 4, 4, 3, 2, 1 ], rlifts\
 := [ [ 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, -3, -3, 0, -2, 0, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, -1, 0, -2, \
0, 1, -3, -3, 1, -1, 1, 2 ] ], rootsQ := [ [ 1, -1, 1, 0, 1, 1, 0, -1, -2, 0, 0, 0, 0, 0, -2, 0, 0 ], [ -1, 1, -1, 0, -1, -1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0\
, 0 ], [ 1, -1, 1, 0, 1, 1, 0, -1, -2, 0, -2, 0, 1, 1, -1, 1, 2 ], [ -1, 1, -1, 0, -1, -1, 0, 1, 2, 0, 2, 0, -1, -1, 1, -1, -2 ], [ 0, 0, -1, 0, -1, -1, 0\
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 -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ 0, 0, 0\
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1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ \
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1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0,\
 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 4, 4, 4, 3, \
2, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, -1, -2, -4, -4, -4, -3, -3, -2, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 8, 0, 0, 0, -8, 0, 20, 0, 1\
4, 14, 0, -14, 0, -14, 0, -14, 0, 1, -48, -48, 1, -18, 10, 14 ], [ 0, 1, 5, 0, 0, 0, -5, 0, 13, 0, 9, 9, 0, -9, 0, -9, 0, -8, 0, 0, -31, -31, 0, -12, 6, 8\
 ], [ 0, 0, 11, 0, 0, 0, -10, 0, 26, 0, 18, 18, 0, -18, 0, -18, 0, -16, 0, 0, -62, -62, 0, -24, 12, 16 ], [ 0, 0, 16, 1, 0, 0, -16, 0, 40, 0, 28, 28, 0, -\
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 0, -16, 0, -16, 0, 2, -54, -54, 2, -21, 11, 16 ], [ 0, 0, 7, 0, 0, 0, -7, 1, 14, 0, 10, 10, 0, -11, -1, -10, 1, -9, 1, 2, -34, -34, 1, -14, 7, 9 ], [ 0, \
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 1, 1, -14, -14, 0, -6, 3, 3 ], [ 0, 0, 2, 0, 0, 0, -2, 0, 6, 0, 3, 3, -1, -5, -1, -2, 2, -3, 1, 2, -12, -12, 0, -4, 4, 3 ], [ 0, 0, 2, 0, 0, 0, -2, 0, 6,\
 0, 4, 4, 1, -5, -1, -4, 1, -4, 2, 1, -13, -13, 0, -5, 3, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 4, 0, 0, 5, 5, -1, 1, -1, -4 ], [ \
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13, -13, -2, -5, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -24, 18, -14, -28, -2, -5, -4, -16, -8, -8, -6, -4, -2, -2, 1, 2, -5 ], [ 18, -28, 11, 24, -2, 0, \
6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -14, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -28, 24, -29, -56, -6, -10, -6, -28,\
 -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -2, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -5, 0, -11, -10, -16, -16, -2, -3, -22\
, -2, -3, -4, -4, 0, -4, -4, 2 ], [ -4, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -16, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, \
-4, -4, 2, 2, -4 ], [ -8, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ -8, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, \
-2 ], [ -6, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -4, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -2, -\
4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ -2, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ 1, 2, -4, -2, -6, -4, -2, 2, -8, 0,\
 0, 0, 0, 0, -4, -2, 2 ], [ 2, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -5, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], Gr\
amQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 10, -6, 2, 0, 0, 0, 0 ], [ 0, 10, -20, 14, -4, 0, 0, 0, 0 ], [ 2, -6, 14, -12, 4, 0, 0, 0, 0 ], [ 0,\
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] ], Sigma := [ [ 1, 0, 1, 0, 1, 1, 0, -1, -2, -1, -1, 0, 0, 0, 0, 2, 1 ], [ 1, 0, 1, 0, 1, 1, 0, -1, -2, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 0, 1, 1, \
0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ],\
 [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0\
, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 4, -6, 8, -6, 2, -4, 0, 15, 0, 8, 9, -1, -9, 1, -8, -5, -9, -2, 0, -32, -33, 1, -7, 9, 8 ], embQ := [ [ 0, 1, -2, \
2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2\
, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, \
0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, \
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 1, 0, 0, -1, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -5, 0, -4, -24, -24, -4, -6, 5, 5 ], [ 0\
, 1, 0, 0, 0, 0, 0, 0, 8, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, 4, 4 ], [ 0, 1, 1, 0, -1, 0, 1, 0, 16, 0, 8, 8, 0, -8, 0, -8, 0, -9, 0, -\
4, -32, -32, -4, -8, 8, 9 ], [ 0, 2, 0, 1, -2, 0, 2, 0, 24, 0, 12, 12, 0, -12, 0, -12, 0, -12, 0, -7, -48, -48, -7, -12, 11, 12 ], [ 0, 2, 0, 0, -1, 0, 2,\
 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -6, -40, -40, -6, -10, 9, 10 ], [ 0, 1, 0, 0, -1, 1, 1, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -11, 0, -5, -40\
, -40, -5, -10, 10, 11 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, \
3, 0, -4, -1, -3, 1, -3, 1, -1, -13, -13, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, 4, 4 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, 0, -5, -5, -1, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -3, 1, 2, -6\
, -6, 0, -1, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, -3, -1, -2, 1, -2, 2, 0, -7, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0,\
 1, -1, 2, 1, 2, 0, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1, 3, 1, 1, 5, 5, 0, 1, -2, -3 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -3, 1, 0, -7, -7, -1, -1, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -7, -8, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2,\
 0, -2, 0, -2, 0, -1, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, -1, 0, -1, -1 ] ] ), rec( GramQ := [ [ -54, -21, -9, 1, -24, -20, -1, 1, -29, 2, -2, -6, -5, -3, -4,\
 -10, 8 ], [ -21, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -9, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [\
 1, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -24, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -2\
0, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ -1, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 1, 10, -13, -2\
8, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -29, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 2, 8, -4, -8, -2, -2, \
-2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -2, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -6, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2,\
 -4, -2, -2, 0, 0, 0 ], [ -5, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ -3, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ \
-4, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -10, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 8, 6, 0, -6, 4, 2, 0, -4,\
 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 10, -8, 8, -8, 16, -8, -4 ], [ 0, 10, -8, 6, -4, 4, -8, 4, 2 ]\
, [ 2, -8, 6, -8, 6, -4, 8, -4, -2 ], [ 0, 8, -4, 6, -8, 6, -8, 4, 2 ], [ 0, -8, 4, -4, 6, -8, 10, -4, -2 ], [ 0, 16, -8, 8, -8, 10, -20, 10, 4 ], [ 0, -8\
, 4, -4, 4, -4, 10, -8, 0 ], [ 0, -4, 2, -2, 2, -2, 4, 0, -4 ] ], Sigma := [ [ 1, -1, 3, -1, 1, 1, 0, -1, -3, 0, -1, 0, 0, 0, 0, 0, 2 ], [ 1, -2, 1, 0, 1,\
 1, 0, -1, -2, -2, -1, -1, 1, 0, -2, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1,\
 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 2, 6, -4, 6, -6, 4, -7, 0, 17, 0, 8, 9, -1, -9, 1, -\
8, -5, -9, -3, 1, -34, -36, 1, -9, 6, 8 ], embQ := [ [ 0, 2, -1, 1, -1, 1, 0, -3, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 4, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, -1, -1, 1, -2, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, -2, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3, 1, -1, 2, 2, 0 ], [ 0, \
0, 0, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1, -1, -1, 3, -1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 1, -4\
, -6, 1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ] ], r := [ 6, 3, 8, 12, 11, 9, 8, 5, 3, 1 ], rlifts \
:= [ [ 0, 2, -1, 1, -1, 1, -2, 1, 1, 1, 1, 1, 0, -1, 0, -2, -2, -1, -1, 1, -4, -4, 0, -2, 0, 0 ], [ 0, 2, -1, 1, -1, 1, -1, -1, 3, -1, 1, 1, 0, -1, 0, 0, \
0, -1, 0, 0, -4, -5, 0, 0, 0, 2 ] ], rootsQ := [ [ 1, -1, 3, -1, 1, 1, 0, -1, -3, 0, -1, 0, 0, 0, 0, 0, 2 ], [ -1, 1, -3, 1, -1, -1, 0, 1, 3, 0, 1, 0, 0, \
0, 0, 0, -2 ], [ 1, -2, 1, 0, 1, 1, 0, -1, -2, -2, -1, -1, 1, 0, -2, 0, 0 ], [ -1, 2, -1, 0, -1, -1, 0, 1, 2, 2, 1, 1, -1, 0, 2, 0, 0 ], [ 0, 0, -1, 0, -1\
, -1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, \
0 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1,\
 -2, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2,\
 -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0,\
 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -\
1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1\
, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, \
-1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0,\
 -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 22, 18, 16, 10, 6, 2 ], [ -6, -3, -7\
, -12, -11, -9, -8, -5, -3, -1 ], [ 6, 3, 8, 13, 11, 9, 8, 5, 3, 1 ], [ -6, -3, -8, -12, -10, -9, -8, -5, -3, -1 ], [ 6, 3, 8, 12, 11, 10, 8, 5, 3, 1 ], [\
 -12, -6, -16, -24, -22, -18, -15, -10, -6, -2 ], [ 6, 3, 8, 12, 11, 9, 8, 6, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 6, 3, 8, 12, 11, 9, 8, 5, 3, 2 ]\
 ], thegtilde := [ [ 1, 24, -12, 12, -12, 12, -18, 0, 36, 0, 18, 18, 0, -18, 0, -18, -12, -18, -6, 3, -72, -78, -3, -18, 6, 18 ], [ 0, 15, -7, 7, -7, 7, -\
11, 1, 21, 1, 11, 11, 0, -11, 0, -12, -8, -11, -4, 2, -44, -47, -2, -12, 4, 10 ], [ 0, 32, -15, 16, -16, 16, -24, 0, 48, 0, 24, 24, 0, -24, 0, -24, -16, -\
24, -8, 4, -96, -104, -4, -24, 8, 24 ], [ 0, 48, -24, 25, -24, 24, -36, 0, 72, 0, 36, 36, 0, -36, 0, -36, -24, -36, -12, 6, -144, -156, -6, -36, 12, 36 ],\
 [ 0, 42, -21, 21, -20, 21, -32, 1, 61, 1, 31, 31, 0, -31, 0, -32, -22, -31, -11, 6, -124, -134, -5, -32, 10, 30 ], [ 0, 40, -20, 20, -20, 21, -30, 0, 60,\
 0, 30, 30, 0, -30, 0, -30, -20, -30, -10, 5, -120, -130, -5, -30, 10, 30 ], [ 0, 28, -14, 14, -14, 14, -20, 0, 40, 0, 20, 20, 0, -20, 0, -20, -14, -20, -\
7, 4, -80, -87, -3, -20, 6, 20 ], [ 0, 18, -9, 9, -9, 9, -13, 0, 26, -1, 12, 12, 0, -13, -1, -11, -7, -12, -3, 3, -49, -54, -2, -11, 4, 13 ], [ 0, 16, -8,\
 8, -8, 8, -12, 0, 25, 0, 12, 12, 0, -12, 0, -12, -8, -12, -4, 2, -48, -52, -2, -12, 4, 12 ], [ 0, 6, -3, 3, -3, 3, -4, -1, 10, 0, 4, 4, 0, -5, -1, -3, -1\
, -4, 0, 1, -17, -19, -1, -3, 2, 5 ], [ 0, 6, -3, 3, -3, 3, -4, -1, 11, -1, 4, 4, -1, -6, -1, -2, 0, -4, 0, 2, -18, -20, -1, -3, 3, 5 ], [ 0, 6, -3, 3, -3\
, 3, -4, -1, 11, -1, 5, 5, 1, -6, -1, -4, -1, -5, 1, 1, -19, -21, -1, -4, 2, 6 ], [ 0, -2, 1, -1, 1, -1, 2, -1, -3, -1, -3, -2, 0, 2, -1, 4, 3, 3, 1, 0, 9\
, 9, 0, 4, 0, -2 ], [ 0, -2, 1, -1, 1, -1, 2, -1, -3, -1, -3, -3, 0, 2, 0, 4, 3, 2, 2, 1, 9, 9, 1, 3, -1, -1 ], [ 0, 6, -3, 3, -3, 3, -4, -1, 11, -1, 5, 5\
, 0, -5, -1, -4, -1, -4, 0, 0, -19, -21, -2, -3, 3, 5 ], [ 0, -2, 1, -1, 1, -1, 2, -1, -3, -1, -3, -3, 0, 1, -2, 5, 4, 3, 3, 1, 10, 10, 0, 4, 0, -2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0\
, -1, 0, 2, 0, 2 ], [ 0, 4, -2, 2, -2, 2, -3, 0, 8, 0, 4, 4, 0, -4, 0, -4, -2, -4, -1, 0, -15, -17, -1, -4, 2, 4 ], [ 0, 8, -4, 4, -4, 4, -6, 0, 12, 0, 6,\
 6, 0, -6, 0, -6, -4, -6, -2, 1, -24, -25, -1, -6, 2, 6 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 0, -1, 1, 0, 1, 1, -2, 0, -2 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -54, -32, 13, 36, -15, -10, 5, 19, -12, 7, 5, \
2, -2, 4, -1, -7, 8 ], [ -32, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ 13, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4\
, -2, 0 ], [ 36, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -15, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, \
-6, 4 ], [ -10, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 5, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 19\
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 -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 5, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ 2, 0, -6, -10, -2, -4, 0, -6,\
 -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, \
0, 0 ], [ -1, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -7, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 8, 6, 0, -6, 4, \
2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 0, 2, -2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 \
], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 2, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 0, 0, 0, 0, 2,\
 -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1\
, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1,\
 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ],\
 [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, -2, 4, -4, 2, -6, 0, 15, 0, 6, 7, -1, -7, 1, -6, -3, -7, -2, 0, -28, -29, 1\
, -7, 6, 5 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -8, 0, 0, 4, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, 0, 2, -2, 2, 0, 0, 5, 5, 0, 2, -2, 2 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1\
, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2,\
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, 1, 0, -1, 0, -1, -1, -1, -1, 1, -4, -4, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootsQ := [\
 [ 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, \
0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, \
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, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], \
[ -1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -\
1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1,\
 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1\
, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0,\
 -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -1, 1,\
 -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg\
 := [ [ 5, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, 0, 0, 0, 0, 0, -4, 0, 16, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -28, -28, -\
3, -6, 6, 3 ], [ 3, 1, 0, 0, 0, 0, -3, 0, 11, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -19, -19, -2, -4, 4, 3 ], [ 6, 0, 1, 0, 0, 0, -6, 0, 22, 0, 8, 8, 0, -8\
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0, -2, -4, 4, 2 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 4, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, 0, -6, -6, -1, -1, 2, 0 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 6, 0, 1, 1, -1, -\
3, -1, 0, 2, -1, 1, 1, -8, -8, -1, -1, 3, 1 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 6, 0, 2, 2, 1, -3, -1, -2, 1, -2, 2, 0, -9, -9, -1, -2, 2, 1 ], [ -2, 0, 0, 0, 0\
, 0, 2, 0, -4, 0, -2, -1, 0, 1, -1, 2, 1, 2, 0, 1, 7, 7, 0, 2, 0, 0 ], [ -2, 0, 0, 0, 0, 0, 2, 0, -4, 0, -2, -2, 0, 1, 0, 2, 1, 1, 1, 2, 7, 7, 1, 1, -1, -\
1 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 6, 0, 2, 2, 0, -2, -1, -2, 1, -1, 1, -1, -9, -9, -2, -1, 3, 1 ], [ -2, 0, 0, 0, 0, 0, 2, 0, -4, 0, -2, -2, 0, 0, -2, 3, 2,\
 2, 2, 2, 8, 8, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 6, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -9, -10, -1, -2, 2, 1 ], [ 2, 0, 0,\
 0, 0, 0, -2, 0, 6, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -10, -9, -1, -2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -32, -24, 20, 36, 4, 5, 6, 16\
, 10, 7, 7, 4, 2, 4, 3, -1, 4 ], [ -24, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ 20, 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, \
-4, -4, -4, -2, 0 ], [ 36, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ 4, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4,\
 0, -6, -6, 4 ], [ 5, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 6, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ]\
, [ 16, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ 10, 4, -18, -14, -26, -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 7, 8\
, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 7, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ 4, 0, -6, -10, -2, -4, 0\
, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ 2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4,\
 0, 0, 0 ], [ 3, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -1, -2, -2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 4, 6, 0, -6, \
4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, 2, -8, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, \
0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 2, 0, 0, 0, 2, -4, 4, 0, 0 ], [ -8, 0, 0, 0, 0, 4, -20, 4, 2 ], [ 2, 0, 0, 0, 0, 0,\
 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], Sigma := [ [ 1, -1, 2, 0, 1, 1, 0, -1, -2, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, -1, 2, 0, 1, 1, 0, -1, -2, 0, -2\
, 0, 1, 1, -1, 1, 1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, -1\
, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1\
, 0 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 4, 2, -2, 4, -4, 2, -6, 0, 17, 0, 8, 9, -1, -9, 1, -8, -3, -9, -2, 1, -32,\
 -35, 2, -9, 8, 7 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0\
, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1,\
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, -3, 5, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
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, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -8, -2, 0, -6, 6, 4, 2, -5, 8, 1, -2, -2, 0, -4, 3, 2, -2 ], [ -2, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, \
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], [ 2, 6, -5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -5, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ 8, 4, -18, \
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 -6, -4, -2, -4, -2, -2, -2, 0, 0, -2 ], [ -2, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ 0, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2,\
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2, 2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -2, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 4, 4, -2, 0, \
0, 0, 0 ], [ -4, -8, 6, 2, -2, 0, 0, 0, 0 ], [ 4, 6, -8, 0, 2, 0, 0, 0, 0 ], [ 4, 2, 0, -4, 2, 0, 0, 0, 0 ], [ -2, -2, 2, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, \
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, 2, -2, 2, -4, 0, 13, 0, 6, 7, -1, -7, 1, -6, -2, -7, -2, 0, -26, -27, -1, -6, 6, 5 ], embQ := [ [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 [ 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, -1, -1, 1, 1, 0, 0 ], [ 2, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
-1, -1, 1, -2, -2, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, \
1, 0, 1, -1, 1, -1, 1, 1, 1, 1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1\
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[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 1, 1, -1, -1, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0,\
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1, 0, 0, 0, 1, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1,\
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0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, -1,\
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0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0\
, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, \
0, 12, 0, 6, 6, 0, -6, 0, -6, 0, -6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, \
4, 4 ], [ 1, 1, 0, -1, 1, 0, 0, 0, 16, 0, 8, 8, 0, -8, 0, -8, 1, -8, 0, -4, -32, -32, -5, -8, 8, 7 ], [ 1, 1, -1, 0, 1, 0, 0, 0, 24, 0, 12, 12, 0, -12, 0,\
 -12, 0, -12, 0, -6, -48, -48, -7, -11, 12, 12 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0\
, 0, 0, 0, 0, 1, 0, 0, 20, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -5, -40, -40, -5, -10, 10, 10 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 12, 0, 6, 6, 0, -6, 0, -6, 0, \
-6, 0, -3, -24, -24, -3, -6, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, 3, 0, -4, -1, -3, 1, -3, 1, -1, -13, -13, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 9, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -2, -16, -16, -2, -4, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, -2, -1, -1, 1, -1, 1, 0, -5, -5, -1, -1, 2, 1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, -1, -3, -1, 0, 2, -1, 1, 1, -6, -6, -1, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 1, -3, -1, -2, 1, -2, \
2, 0, -7, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 2, 0, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, \
-2, 0, 1, 0, 2, 0, 1, 1, 2, 5, 5, 1, 2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, -1, -2, 1, -1, 1, -1, -7, -7, -2, -1, 3, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0,\
 -1, -7, -8, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, -1, -8, -7, -1, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ\
 := [ [ -54, -30, 14, 34, -13, -9, 5, 16, -10, 5, 4, 2, -2, 4, 1, -6, 6 ], [ -30, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ 14, 11, -20,\
 -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ 34, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -13, -2, -1\
1, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -9, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ 5, 6, -5, -6, -3,\
 -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ 16, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -10, 4, -18, -14, -26, -22, -6, -\
2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ 5, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ 4, 4, -6, -12, -3, -3, -1, -6, -4, -2, -4, -2, \
-2, -2, 0, 0, -2 ], [ 2, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0, 0, 0, 0 ], [ \
4, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ 1, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ -6, -2, -2, 2, -6, -4, -2, 2, \
-8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ 6, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, -4, -2, -4, 2, -8, 2, 0 ], [ -4, -8\
, -2, -4, -4, 2, -8, 2, 0 ], [ -4, -2, -12, -2, -8, 2, -12, 4, 2 ], [ -2, -4, -2, -8, -2, 2, -8, 2, 0 ], [ -4, -4, -8, -2, -12, 4, -12, 4, 2 ], [ 2, 2, 2,\
 2, 4, -4, 4, 0, 0 ], [ -8, -8, -12, -8, -12, 4, -20, 6, 2 ], [ 2, 2, 4, 2, 4, 0, 6, -4, 0 ], [ 0, 0, 2, 0, 2, 0, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, -\
1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, \
0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 1, -1, 3, 0, 1, 1, 0, -1, -3,\
 -1, 0, 0, -1, -1, -1, 1, 0 ], [ 1, -1, 3, 0, 1, 1, 0, -1, -3, 0, -2, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ] ], adjw\
eyl := [ 4, 4, -4, 6, -6, 2, -6, 0, 19, 0, 8, 9, -1, -9, 1, -8, -4, -9, -2, -1, -34, -35, 0, -8, 8, 7 ], embQ := [ [ 1, 1, -1, 1, -1, 0, 0, -2, 0, 0, 0, 0\
, 0, 0, 1, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp :=\
 [ [ -4, 0, 0, 2, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1, -2, 1, -1, 1, 1, 1, 1, 0, -2, 1 ], [ 0, -4, 2, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1, -1, 1, -\
1, 1, 1, 1, 3, -1, -1, -1 ], [ 0, 2, -4, 2, 0, 2, -2, 0, -2, 0, -1, -1, 0, 1, 0, 1, -2, 1, -1, 2, 2, 1, 1, 2, -1, -1 ], [ 2, 0, 2, -4, 2, 2, -3, 0, 0, 0, \
-1, -1, 0, 1, 0, 1, 1, 1, -1, 1, 1, 1, 0, -1, -3, -2 ], [ 0, 0, 0, 2, -4, 4, -2, 0, -2, 0, -1, -1, 0, 1, 0, 1, -3, 1, -2, 2, 1, 0, 4, -1, -3, -1 ], [ 0, 0\
, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 4, -5, 0, -2, 0, -2, -2, 0, 2, 0, 2, -2, 2, -2, 3, 3, 2, 3\
, 0, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 6, 4, 9, 13, 12, 10, 8, 5, 2, 1 ], rlifts := [ [ 1, 1, -1, 1, -1, 0, -1, 0, 3, 0, 1, 1, 0, -1, 0, -1, -1, 0, 0,\
 -1, -4, -4, -1, -1, 1, 0 ], [ 1, 1, -1, 1, -1, 0, -1, 0, 3, 0, 1, 1, 0, -1, 0, -1, 0, -2, 0, 0, -4, -4, 0, 0, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, -1,\
 -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],\
 [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -\
1, -1, -1, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, -1,\
 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, \
0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 1, 0, 1, 0,\
 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, \
1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1, 1, 0, 0, 0, 1, 1 ], [ 1, -1, 3, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, -1, -1, 1, 0 ], [ -1, 1,\
 -3, 0, -1, -1, 0, 1, 3, 1, 0, 0, 1, 1, 1, -1, 0 ], [ 1, -1, 3, 0, 1, 1, 0, -1, -3, 0, -2, 0, 0, 0, 0, 1, 1 ], [ -1, 1, -3, 0, -1, -1, 0, 1, 3, 0, 2, 0, 0\
, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -\
1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 7\
, 4, 9, 13, 12, 10, 8, 5, 2, 1 ], [ 6, 5, 9, 13, 12, 10, 8, 5, 2, 1 ], [ -6, -4, -8, -13, -12, -10, -8, -5, -2, -1 ], [ 6, 4, 9, 14, 12, 10, 8, 5, 2, 1 ],\
 [ -6, -4, -9, -13, -11, -10, -8, -5, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -9, -13, -12, -10, -7, -5, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0 ], [ 12, 8, 18, 26, 24, 20, 16, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 13, 12, -12, 12, -12, 0, -12, 0, 48, 0, 18, 18, 0, \
-18, 0, -18, -6, -18, 0, -9, -72, -72, -9, -12, 18, 12 ], [ 8, 9, -8, 8, -8, 0, -8, 0, 32, 0, 12, 12, 0, -12, 0, -12, -4, -12, 0, -6, -48, -48, -6, -8, 12\
, 8 ], [ 17, 17, -16, 17, -17, 0, -17, 0, 67, 0, 25, 25, 0, -25, 0, -25, -9, -24, 0, -13, -100, -100, -13, -17, 25, 16 ], [ 25, 25, -25, 26, -25, 0, -25, \
0, 99, 0, 37, 37, 0, -37, 0, -37, -13, -36, 0, -19, -148, -148, -19, -25, 37, 24 ], [ 22, 22, -22, 22, -21, 0, -22, 0, 86, 0, 32, 32, 0, -32, 0, -32, -11,\
 -32, 0, -16, -128, -128, -16, -21, 32, 21 ], [ 20, 20, -20, 20, -20, 1, -20, 0, 80, 0, 30, 30, 0, -30, 0, -30, -11, -28, 0, -16, -120, -120, -16, -21, 30\
, 19 ], [ 14, 14, -14, 14, -14, 0, -13, 0, 54, 0, 20, 20, 0, -20, 0, -20, -7, -20, 0, -10, -80, -80, -10, -13, 20, 13 ], [ 9, 9, -9, 9, -9, 0, -9, 1, 34, \
0, 12, 12, 0, -13, -1, -12, -4, -11, 1, -6, -49, -49, -7, -8, 13, 7 ], [ 6, 6, -6, 6, -6, 0, -6, 0, 27, 0, 10, 10, 0, -10, 0, -10, -3, -10, 0, -5, -40, -4\
0, -5, -7, 10, 7 ], [ 3, 3, -3, 3, -3, 0, -3, 0, 12, 1, 4, 4, 0, -5, -1, -4, -1, -3, 1, -2, -17, -17, -3, -3, 5, 2 ], [ 2, 2, -2, 2, -2, 0, -2, 0, 10, 0, \
3, 3, -1, -5, -1, -2, 1, -3, 1, 0, -14, -14, -2, -2, 5, 2 ], [ 2, 2, -2, 2, -2, 0, -2, 0, 10, 0, 4, 4, 1, -5, -1, -4, 0, -4, 2, -1, -15, -15, -2, -3, 4, 3\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 1, -1, 2, 1, 2, 0, 1, 5, 5, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1, 1, 1, 2\
, 5, 5, 1, 1, -1, -1 ], [ 2, 2, -2, 2, -2, 0, -2, 0, 10, 0, 4, 4, 0, -4, -1, -4, -1, -1, 1, -3, -15, -15, -4, -3, 5, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0,\
 -2, -2, 0, 0, -2, 3, 3, 0, 2, 3, 6, 6, 1, 3, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -2, 2, -2, 0, -2, 0, 10, 0, 4, 4, 0, -4, 0, -4, -1, -4, 0, -2, -15,\
 -16, -2, -3, 4, 3 ], [ 2, 2, -2, 2, -2, 0, -2, 0, 10, 0, 4, 4, 0, -4, 0, -4, -1, -4, 0, -2, -16, -15, -2, -3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( Gr\
amQ := [ [ -18, 17, -13, -23, -5, -7, -5, -11, -12, -6, -5, -3, -2, 0, -2, 0, -4 ], [ 17, -28, 11, 24, -2, 0, 6, 10, 4, 8, 4, 0, -2, 0, 2, -2, 6 ], [ -13,\
 11, -20, -29, -11, -11, -5, -13, -18, -4, -6, -6, -4, -4, -4, -2, 0 ], [ -23, 24, -29, -56, -6, -10, -6, -28, -14, -8, -12, -10, -6, -8, -2, 2, -6 ], [ -\
5, -2, -11, -6, -22, -16, -3, 1, -26, -2, -3, -2, -4, 0, -6, -6, 4 ], [ -7, 0, -11, -10, -16, -16, -2, -3, -22, -2, -3, -4, -4, 0, -4, -4, 2 ], [ -5, 6, -\
5, -6, -3, -2, -4, -2, -6, -2, -1, 0, 0, 0, -2, -2, 0 ], [ -11, 10, -13, -28, 1, -3, -2, -18, -2, -4, -6, -6, -4, -4, 2, 2, -4 ], [ -12, 4, -18, -14, -26,\
 -22, -6, -2, -36, -4, -4, -4, -4, 0, -8, -8, 4 ], [ -6, 8, -4, -8, -2, -2, -2, -4, -4, -4, -2, 0, 0, 0, 0, 0, -2 ], [ -5, 4, -6, -12, -3, -3, -1, -6, -4,\
 -2, -4, -2, -2, -2, 0, 0, -2 ], [ -3, 0, -6, -10, -2, -4, 0, -6, -4, 0, -2, -4, -2, -2, 0, 0, 0 ], [ -2, -2, -4, -6, -4, -4, 0, -4, -4, 0, -2, -2, -4, 0,\
 0, 0, 0 ], [ 0, 0, -4, -8, 0, 0, 0, -4, 0, 0, -2, -2, 0, -4, 0, 0, 0 ], [ -2, 2, -4, -2, -6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -4, -2, 2 ], [ 0, -2, -2, 2, -\
6, -4, -2, 2, -8, 0, 0, 0, 0, 0, -2, -4, 2 ], [ -4, 6, 0, -6, 4, 2, 0, -4, 4, -2, -2, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 6, 4, 0, 0, 0, 0 \
], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -4, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2,\
 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 1, 0, 1, 1, 0, -1, -2, 0, -1\
, 0, 0, 1, -1, 1, 0 ], [ 1, 0, 1, 0, 1, 1, 0, -1, -2, 0, -1, 0, 0, 0, -1, 1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ] ], adjweyl := [ 6, 2, -2, 4, -6\
, 2, -4, 0, 15, 0, 8, 9, -1, -9, 1, -8, -3, -9, -2, 0, -32, -33, 2, -9, 8, 6 ], embQ := [ [ 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, \
-1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1\
, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 6, -8, 4,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -2, 0, -2, -2, 4, -2, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 ], [\
 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 2, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -\
1, -1, -1, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 1, 0, 1,\
 -1, 1, -1, 1, 1, 1, 1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, -5, -5, 0, -2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0 ] ], r := [ 2, 2, \
4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, 0, -3, -3, 0, -1, 1, 0 ], [ 2, 0, 0, 0, -1, 0, 0, 0, \
1, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, 0, -3, -3, 1, -1, 1, 0 ] ], rootsQ := [ [ -1, 0, -1, 0, -1, -1, 0, 1, 2, 0, 1, 0, 0, -1, 1, -1, 0 ], [ 1, 0, 1, 0, 1, \
1, 0, -1, -2, 0, -1, 0, 0, 1, -1, 1, 0 ], [ -1, 0, -1, 0, -1, -1, 0, 1, 2, 0, 1, 0, 0, 0, 1, -1, 0 ], [ 1, 0, 1, 0, 1, 1, 0, -1, -2, 0, -1, 0, 0, 0, -1, 1\
, 0 ], [ 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 0, 2, 2, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 0, -2, -2, -1, -1, 0, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0\
, 2, 0, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1 ], [ 0, \
0, 1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, -1, -1 ], [ 0, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1\
, 1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 1, 0, 0\
, -1, -1, -1, 0, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, \
0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 0, -1, 0, -1, 1, \
1, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 2, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, -2, -1, 0, -1, -1, 0 ], [ 0, 0\
, 0, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 2, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1\
, 0, 0, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 1\
, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3" ], theg := [ [ 5, 4, 8, 12, 12, 10, 8, 6, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -6, -5, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [\
 17, 0, 0, 0, -8, 0, 0, 0, 20, 0, 14, 14, 0, -14, 0, -14, 0, -14, 0, -3, -48, -48, 1, -14, 14, 6 ], [ 12, 1, 0, 0, -6, 0, 0, 0, 14, 0, 10, 10, 0, -10, 0, \
-10, 0, -10, 0, -2, -34, -34, 0, -10, 10, 4 ], [ 24, 0, 1, 0, -12, 0, 0, 0, 28, 0, 20, 20, 0, -20, 0, -20, 0, -20, 0, -4, -68, -68, 2, -20, 20, 8 ], [ 36,\
 0, 0, 1, -18, 0, 0, 0, 42, 0, 30, 30, 0, -30, 0, -30, 0, -30, 0, -6, -102, -102, 3, -30, 30, 12 ], [ 32, 0, 0, 0, -15, 0, 0, 0, 36, 0, 26, 26, 0, -26, 0,\
 -26, 0, -26, 0, -5, -88, -88, 2, -26, 26, 10 ], [ 30, 0, 0, 0, -15, 1, 0, 0, 35, 0, 25, 25, 0, -25, 0, -25, 0, -25, 0, -5, -85, -85, 2, -25, 25, 10 ], [ \
20, 0, 0, 0, -10, 0, 1, 0, 22, 0, 16, 16, 0, -16, 0, -16, 0, -16, 0, -3, -54, -54, 1, -16, 16, 6 ], [ 14, 0, 0, 0, -7, 0, 0, 1, 14, 0, 10, 10, 0, -11, -1,\
 -10, 1, -10, 1, -1, -34, -34, 2, -10, 11, 3 ], [ 12, 0, 0, 0, -6, 0, 0, 0, 15, 0, 10, 10, 0, -10, 0, -10, 0, -10, 0, -2, -34, -34, 0, -10, 10, 4 ], [ 6, \
0, 0, 0, -3, 0, 0, 0, 6, 1, 4, 4, 0, -5, -1, -4, 1, -4, 1, 0, -14, -14, 0, -4, 5, 1 ], [ 4, 0, 0, 0, -2, 0, 0, 0, 6, 0, 3, 3, -1, -5, -1, -2, 2, -3, 1, 1,\
 -12, -12, 0, -3, 5, 1 ], [ 4, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 4, 1, -5, -1, -4, 1, -4, 2, 0, -13, -13, 0, -4, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2,\
 -1, 0, 1, -1, 2, 1, 2, 0, 1, 5, 5, 1, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 2, 1, 1, 1, 2, 5, 5, 0, 1, -1, -1 ], [ 4, 0, 0, 0, -2\
, 0, 0, 0, 6, 0, 4, 4, 0, -4, -1, -4, 1, -3, 1, -1, -13, -13, -1, -3, 5, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, 3, 2, 2, 2, 2, 6, 6, 1, 2\
, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -1, -13, -14, 1, -4, 4, 2 ], [ 4, 0, 0, 0, -2, 0, 0, 0, 6,\
 0, 4, 4, 0, -4, 0, -4, 0, -4, 0, -1, -14, -13, -1, -4, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ) ], walls := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 4, 3, 6, 8, 7, 5, 4, 2, 1, 0 ], [ 4, 3, 6, 8, 7, 6, 6, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 3, 2, 4, 6, 6, 4, 4, 3, 2, 1 ], [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 1 ], [ 2, 1, 2, 4, 3, \
2, 2, 1, 0, 0 ], [ 2, 1, 2, 4, 4, 4, 4, 3, 2, 1 ], [ 3, 2, 5, 6, 6, 5, 4, 3, 2, 1 ], [ 1, 0, 1, 2, 2, 1, 0, 0, 0, 0 ], [ 6, 3, 8, 12, 11, 9, 8, 5, 3, 1 ],\
 [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 9, 13, 12, 10, 8, 5, 2, 1 ], [ 2, 2, 4, 6, \
6, 5, 4, 3, 2, 1 ] ], weyl := [ 2, 2, -2, 4, -4, 2, -4, 0, 5, 0, 4, 3, 1, -3, -1, -4, -3, -3, 0, 1, -10, -11, 2, -3, 2, 2 ], weylprime := [ 2, 4, -4, 9, -\
8, 4, -8, 0, 10, 0, 8, 6, 2, -6, -2, -8, -6, -6, 0, 2, -20, -22, 4, -6, 4, 4 ] ), rec( GramL26 := [ [ 4, 4, 7, 11, 9, 8, 6, 5, 3, 3, 0, 2, 2, 2, 0, 1, 2, \
-1, 0, 0, 0, 0, 0, 0, 1, -2 ], [ 4, 0, 5, 6, 6, 3, 2, 4, 3, -1, -3, -1, 0, -2, -1, 1, -1, 0, 1, 0, -1, -1, 1, -2, -2, 1 ], [ 7, 5, 8, 14, 12, 11, 9, 5, 3,\
 1, 1, -1, -2, 0, 0, 0, -1, 0, 0, 0, 0, 1, -2, 1, 0, 0 ], [ 11, 6, 14, 20, 18, 14, 12, 9, 6, 1, -1, -2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 1 ], [ \
9, 6, 12, 18, 14, 12, 9, 7, 4, 1, -1, -1, -2, -2, -2, -1, -1, 0, 0, -2, -1, -1, 0, 0, 0, 0 ], [ 8, 3, 11, 14, 12, 6, 5, 7, 4, -1, -4, -2, -2, -3, -3, 0, -\
2, 0, -1, -1, -1, -3, 2, -2, -2, 1 ], [ 6, 2, 9, 12, 9, 5, 0, 6, 4, -1, -6, 1, 2, -2, -5, 1, 1, 0, 2, -2, -4, -4, 2, -4, 0, 0 ], [ 5, 4, 5, 9, 7, 7, 6, 0,\
 0, -1, 2, -3, -5, -3, -1, -4, -3, 1, -1, -1, 0, 1, -2, 2, 0, 1 ], [ 3, 3, 3, 6, 4, 4, 4, 0, -2, -2, 1, -3, -6, -2, -2, -2, -3, 0, -2, -2, 0, 0, -2, 2, 0,\
 0 ], [ 3, -1, 1, 1, 1, -1, -1, -1, -2, -10, -4, -8, -11, -8, -5, -2, -9, 1, 0, -3, -3, -2, -2, 0, -4, 3 ], [ 0, -3, 1, -1, -1, -4, -6, 2, 1, -4, -8, 0, 1\
, -3, -5, 2, 0, -1, 2, -2, -4, -4, 2, -4, -2, 0 ], [ 2, -1, -1, -2, -1, -2, 1, -3, -3, -8, 0, -10, -13, -8, -2, -4, -10, 2, -2, -2, 0, 0, -2, 2, -4, 4 ], \
[ 2, 0, -2, -2, -2, -2, 2, -5, -6, -11, 1, -13, -20, -10, -4, -6, -14, 2, -4, -4, 0, 0, -4, 4, -4, 4 ], [ 2, -2, 0, -2, -2, -3, -2, -3, -2, -8, -3, -8, -1\
0, -12, -5, -6, -8, 2, 0, -4, -2, -2, 0, 0, -4, 4 ], [ 0, -1, 0, 0, -2, -3, -5, -1, -2, -5, -5, -2, -4, -5, -8, -2, -2, 0, 0, -4, -4, -4, 0, -2, 0, 0 ], [\
 1, 1, 0, 0, -1, 0, 1, -4, -2, -2, 2, -4, -6, -6, -2, -8, -4, 2, -2, -2, 0, 0, 0, 2, 0, 2 ], [ 2, -1, -1, -2, -1, -2, 1, -3, -3, -9, 0, -10, -14, -8, -2, \
-4, -12, 2, -2, -2, 0, 0, -2, 2, -4, 4 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 2, 2, 2, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 1, 0, 0, 0, -1, 2, -1\
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16, -2, 18, 7, 0, 18, -2, 1 ], [ -21, -36, -53, -44, -29, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -39, -63, -94, -75, -47, -35, -60, 12, 12, 24, 0\
, 24, 12, 0, 24, 0, 0 ], [ 8, 13, 19, 15, 8, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 7, 14, 19, 16, 7, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, \
-4, 4 ], [ 16, 28, 40, 32, 16, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -2, -1, -3, -1, -2, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ \
18, 26, 40, 30, 18, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 7, 14, 19, 16, 7, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, \
0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 18, 28, 42, 32, 18, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -2, 0, -2, 0, -2, 0, 0, -2, -4, -4, -\
4, 0, -4, 0, 0, -4, 2 ], [ 1, 0, 1, 0, 1, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0,\
 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 10, -2, -2, 0, 0 ], [ 0, 0, 0, 10, -20, 6, 4, 0, 0 ], [ 0, 0, 0, -2, 6, -4, 0, 0, 0 ], [ 0, 0, 0, \
-2, 4, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, 2, -4, 4, 2, -4, -4, 2, 6,\
 1, 2, -1, 3, 1, -1, -2, 2, 1, -5, -1, -9, -6, 1, -9, -2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3, 3, 2, 0, 0, 0 ],\
 [ 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -5, 4, 2, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -3, -7, \
6, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -3, -5, 5, 3, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, -2, 3, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -3, 5, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, -3, -2,\
 -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, -2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0,\
 -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 1, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0,\
 -1, 2, -1 ], [ 0, 0, -2, 2, 1, 0, -3, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, -3, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, -1, 1, -1, 1, 1, 1, 2, 0 ], [ 0, 0, 1, -1, 1, -1, 1, 0, -2, 2, 0, \
0, 0, 1, 0, -1, -1, 0, 2, 0, -1, -2, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 2, 1, 0, 2, 0 ] ], r := [ 3, 2, 4\
, 6, 4, 4, 4, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1\
, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0 ], [ 0, 0, \
0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0,\
 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, -2, 0, 0, 0, 1, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], \
[ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1,\
 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3", "A3" ], \
theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -3, -2, -4, -5, -4, -4, -4, -3, -2, -1 ]\
, [ 6, 4, 8, 12, 9, 8, 8, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -3, -2, -4, -6, -4, -4, -3, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 3, -3, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, -1, 0, \
2, -1, -1 ], [ 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -2, 0 ], [ 0, 0, 1, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 2, -2, 0, 2, -2, 0 ], [ 0, 0, 0, 1, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 3, -4, 0 ], [ 0, 0, 0, 0, 1, 6, -6, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 3, -3, 0 ], [ 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, -3, 0 ], [ 0, 0, 0, 0, 0, 6, -5, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 3, -3, 0 ], [ 0, 0, 0, 0, 0, 3, -2, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -2, 1, 1, -2, 0 ], [ 0, 0\
, 0, 0, 0, 2, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 3, -3, 0, 0, 1, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 1, -2, 0,\
 1, -3, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, -2\
, 1, 1, -1, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 0, 0, 0, 0, -2, 1, 1, -1, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2\
, 0, 0, 1, -2, 0, 0, 0, 1, 1, 1, -1, 1, 1, -4, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 2, 0, 1, 2, -1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, -1, -2, 0, 0, -1, -1, 0, -1, -1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1,\
 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 2, -1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, -1 ] ] ), rec( GramQ \
:= [ [ -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -14, -36, -50, -26, 22, 31, 4, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ -20, -50, -72,\
 -36, 34, 47, 2, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -10, -26, -36, -20, 14, 19, 6, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 8, 22, 34, 14, -24, -35, \
6, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 8, 31, 47, 19, -35, -60, 12, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 0, 4, 2, 6, 6, 12, -24, -7, -12, -16, -7, -6\
, -14, 0, -6, -8, 4 ], [ 0, -3, -5, -1, 5, 12, -7, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 0, 0, -2, 2, 6, 12, -12, -4, -10, -13, -6, -6, -10, 2, -6, -\
4, 4 ], [ 0, -4, -8, 0, 12, 24, -16, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ 0, 3, 3, 3, -1, 0, -7, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 0, -10\
, -14, -6, 10, 24, -6, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 0, 0, -2, 2, 6, 12, -14, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, 0, 0,\
 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 0, -8, -12, -4, 12, 24, -6, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 0, 4, 4, 4, 0, 0, -8, -2, -4, -4, -4, 0, -\
4, 0, 0, -4, 2 ], [ 0, -2, -2, -2, 0, 0, 4, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, \
0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -\
8, 6, -6 ], [ 0, 0, 0, 0, 0, 0, 6, -8, 4 ], [ 0, 0, 0, 0, 0, 0, -6, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, -1, 0, 1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, \
0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, 2, -4, 4, -2, 0, -4, 2, 18, 1, 2,\
 -1, 9, 1, -7, -8, 2, 4, -8, -6, -16, -15, -4, -19, -2 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ \
0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, -2, 4, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -3,\
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, 0, 0, -1 ] ] ), rec( GramQ := [ [ -48, -40, -82, -50, -58, -30, -46, 5, 6, 14, -1, 16, 6, -2, 16, -4, 0 ], [ -40, -44, -76, -52, -44, -26, -47, 10, 12, \
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, -1, 10, 6, 0, 12, 0, 0 ], [ -46, -47, -85, -59, -54, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 5, 10, 13, 12, 5, 5, 12, -6, -4, -7, -2, -8, -4, \
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, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ]\
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, 0, 4, -6, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0,\
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, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, 2, -4, 10, -2, -6, -4, 2, 6, 1, 2, -1, 9, 1, -7, -2, 2, 4, -8, 0, -10, -9, 2, -13, -2 ], em\
bQ := [ [ 0, 1, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, 2, 1, -4, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
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, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, -2, 2, -1, 0, 0, 0, 0, 1, 0, -2, 0, 0, 1, 0, 1, 0, -1, 1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
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1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
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 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 1, -1, 2, -1, -1, 1, -2, 0 ], [ 0, 0, 0, 0, 2, 0, -2, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -82, -50, -126, -60, -92, -30, -46, 3, -7, 0, -14, 16,\
 -9, 2, 16, -12, 8 ], [ -50, -34, -80, -38, -54, -16, -23, 0, -7, -4, -11, 6, -9, 2, 8, -8, 6 ], [ -126, -80, -200, -94, -142, -42, -61, 1, -16, -8, -25, \
18, -20, 4, 20, -20, 14 ], [ -60, -38, -94, -46, -68, -24, -35, 2, -5, 0, -11, 10, -7, 2, 12, -8, 6 ], [ -92, -54, -142, -68, -110, -38, -54, 3, -7, 0, -1\
4, 16, -9, 2, 16, -12, 8 ], [ -30, -16, -42, -24, -38, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -46, -23, -61, -35, -54, -35, -60, 12, 12, 24, 0, 2\
4, 12, 0, 24, 0, 0 ], [ 3, 0, 1, 2, 3, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ -7, -7, -16, -5, -7, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4,\
 4 ], [ 0, -4, -8, 0, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -14, -11, -25, -11, -14, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 1\
6, 6, 18, 10, 16, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ -9, -9, -20, -7, -9, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 2, 2, 4, 2,\
 2, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 16, 8, 20, 12, 16, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -12, -8, -20, -8, -12, 0, 0, -2, -4, \
-4, -4, 0, -4, 0, 0, -4, 2 ], [ 8, 6, 14, 6, 8, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0,\
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0, 0, 6, -8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ],\
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[ 6, 4, 8, 12, 10, 8, 8, 6, 4, 1 ], rlifts := [ [ 0, 0, 0, 0, 1, 0, -1, 0, -1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, 1, 0, 0 ] ], rootsQ := [ [ 0\
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0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
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0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -8, -16, -22, -12, 6, 4, -2, 0, 0, -4, -2, 0, 0, 0, -4, 0, 0 ], [ -16, -40, -54, -30, 17, 13, -4, 2, 0, -8, \
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 0, -8, 4, -2 ], [ 6, 17, 29, 9, -30, -35, 3, 8, 16, 6, 11, 8, 0, 16, 6, 0, 0 ], [ 4, 13, 25, 5, -35, -44, 2, 10, 20, 4, 12, 10, 0, 20, 4, 0, 0 ], [ -2, -\
4, -6, -2, 3, 2, -4, -2, -3, -5, -3, -2, -1, -2, -4, -2, 0 ], [ 0, 2, 0, 4, 8, 10, -2, -10, -13, -8, -4, -10, 2, -6, -2, -4, 4 ], [ 0, 0, -4, 4, 16, 20, -\
3, -13, -20, -10, -8, -14, 2, -12, -4, -4, 4 ], [ -4, -8, -12, -4, 6, 4, -5, -8, -10, -16, -7, -8, 2, -4, -8, -4, 4 ], [ -2, -8, -12, -4, 11, 12, -3, -4, \
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 -2 ], [ 0, -4, -8, 0, 16, 20, -2, -6, -12, -4, -8, -6, 0, -12, -4, 0, 0 ], [ -4, -12, -16, -8, 6, 4, -4, -2, -4, -8, -6, -2, 0, -4, -8, 0, 0 ], [ 0, 4, 4\
, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, 0, -4, 2 ], [ 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0\
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12, 4, 0, 0 ], [ 0, 0, 0, 0, -2, 4, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1\
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, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ] ], adjweyl := [ 4, 2, 3, -4, 3, -2, 0, -4, 3, 6, 1, 2, -1, 3, 1, -1, -2, 2, 1, -6, -2, -7, -7, -1, -7, -2 ], embQ := \
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1, -1, 5, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2, -1, 7, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0,\
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1, -1, 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 0 ] ], r := [ 6, 4, 8, 12, 10, 9, 8, 5, 4, 1 ], rlifts := [ [ 0, 0, 0, 0, 1, 0, -1, 0, \
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, -1, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -20, -33, -43, -27, -7, -10, -5, 8, 16, 0, 3, 8, 0, 16, -10, 0, 0 ], [ -33, -60, -78\
, -49, -7, -11, -6, 16, 28, 4, 4, 16, 0, 24, -16, 4, -2 ], [ -43, -78, -104, -63, -3, -7, -8, 18, 32, 4, 4, 18, 0, 28, -20, 4, -2 ], [ -27, -49, -63, -42,\
 -12, -17, -5, 16, 28, 4, 5, 16, 0, 24, -14, 4, -2 ], [ -7, -7, -3, -12, -38, -47, -5, 14, 28, 0, 9, 14, 0, 28, -10, 0, 0 ], [ -10, -11, -7, -17, -47, -60\
, -6, 18, 36, 0, 12, 18, 0, 36, -12, 0, 0 ], [ -5, -6, -8, -5, -5, -6, -4, 2, 5, -1, 1, 2, -1, 6, -4, -2, 0 ], [ 8, 16, 18, 16, 14, 18, 2, -14, -21, -6, -\
4, -14, 2, -14, 6, -4, 4 ], [ 16, 28, 32, 28, 28, 36, 5, -21, -36, -6, -8, -22, 2, -28, 12, -4, 4 ], [ 0, 4, 4, 4, 0, 0, -1, -6, -6, -8, -1, -6, 2, 0, 0, \
-4, 4 ], [ 3, 4, 4, 5, 9, 12, 1, -4, -8, -1, -4, -4, 0, -8, 2, 0, 0 ], [ 8, 16, 18, 16, 14, 18, 2, -14, -22, -6, -4, -16, 2, -14, 6, -4, 4 ], [ 0, 0, 0, 0\
, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, 0, -2 ], [ 16, 24, 28, 24, 28, 36, 6, -14, -28, 0, -8, -14, 0, -28, 12, 0, 0 ], [ -10, -16, -20, -14, -10, -12, -4, 6\
, 12, 0, 2, 6, 0, 12, -8, 0, 0 ], [ 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, 0, -4, 2 ], [ 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 0, 2, -4 ] \
], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 0, -4, 4, -2, -2 ], [ 2, 0, 6, -8, 2, 4, -4, 2, 2 ], [ 0,\
 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, -4, 4, 2, -8, 6, -2, -2 ], [ 0, 0, 4, -4, 0, 6, -8, 4, 2 ], [ 0, 0, -2, 2, 0, -2, 4, -4, 0 ], [ 0, 0, -2, 2, 0, -2, 2,\
 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 2, 0, -1, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 3, 1, -4, 4, -1, -1, -4, 3, 6, 1, 2, -1, 3, 1,\
 -1, -2, 2, 0, -5, -3, -7, -6, -2, -8, -2 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0 ], [ 0, 0, 1, 0, 0\
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 [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 5, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1\
, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 2, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, -1, -2, 2, -1, 1, -1, 0, \
2, -2, 0, 0, 0, -1, 0, 1, 1, 0, -2, 0, 1, 2, 1, 1, 1, 0 ], [ 2, 1, 1, -3, 1, 0, 1, 0, -2, 2, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, -1, -3, -1, -1, -1, -1 ], [ 0\
, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 1, -2, 1, -1, 0, 3, -2, 0, 0, 0, -1, 0, 1, 1, 0, -2, -1, 2, 2,\
 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, -1, 0, -2, 2, 0, 0, 0, 2, 0, -2, -1, 0, 2, 0, 0, -2, -1, 0, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2,\
 0, 0, -1, 1, -1, 1, 1, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 2, 1, 0, 2, 0 ] ], r := [ 2, 1, 2, 4, 3, 2, 2, 1, 0\
, 0 ], rlifts := [ [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -\
1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, \
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], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0,\
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[ 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0\
, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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, "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 2, 2, 1, 0, 0 ], [ -2, -1, -2, -3, -3, -2, \
-2, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 3, 2, 1, 0, 0 ], [ -2, -1, -2, -4, -3, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0 ], [ 2, 1, 2, 4, 3, 2, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, -1, 0, 0, -1 ], [ 0, 2, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -2, 0 ], [ 0, 0, 2, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, \
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2, -2, 0, 0, 2, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0 ], [ 0, -1, 2, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, \
0, 1, 1, 0 ], [ 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 2, -3, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, -2, 0 ], [ 0, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0 ], [ 0, -2, 2, 0, 0, -2, 2, 0, -2, 0, 0, -2, 1, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 2, 2, 0 ], [ 0, 0, -1, 1, 0, -\
1, 1, 0, -1, 0, 0, 0, 0, 1, -2, 0, 0, 2, 2, 1, 1, 1, 2, 1, -2, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 1, 1, 2, 0, -1, 0 ], [\
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 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 2, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, -1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 1, -1, 0, 0, 1, -1, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0 ], [ 0, -1, 2, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 2, -3, 1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, -2, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1 ] ] ), rec( GramQ := [ [ -52, -88, -128, -69, 51, 56, 25, 10, 10, 20, 0, 20, 10, 0, 20, 0, 0 ], [ -88, -156, -224, -123, 87, 99, 43, 17, 20, 36, 3,\
 30, 20, 0, 32, 4, -2 ], [ -128, -224, -324, -177, 127, 143, 63, 25, 28, 52, 3, 46, 28, 0, 48, 4, -2 ], [ -69, -123, -177, -98, 68, 77, 34, 14, 17, 30, 3,\
 24, 17, 0, 26, 4, -2 ], [ 51, 87, 127, 68, -54, -61, -26, -10, -9, -18, -1, -20, -9, 0, -18, 0, 0 ], [ 56, 99, 143, 77, -61, -76, -30, -8, -8, -16, 0, -1\
6, -8, 0, -16, 0, 0 ], [ 25, 43, 63, 34, -26, -30, -14, -5, -5, -10, 0, -10, -5, 0, -10, 0, 0 ], [ 10, 17, 25, 14, -10, -8, -5, -6, -4, -7, -2, -8, -4, -1\
, -6, -2, 0 ], [ 10, 20, 28, 17, -9, -8, -5, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 20, 36, 52, 30, -18, -16, -10, -7, -13, -20, -6, -12, -14, 2, -1\
2, -4, 4 ], [ 0, 3, 3, 3, -1, 0, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 20, 30, 46, 24, -20, -16, -10, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 10\
, 20, 28, 17, -9, -8, -5, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 20, 32, 48, 26, -18, -16,\
 -10, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 0, 4, 4, 4, 0, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 0, -2, -2, -2, 0, 0, 0, 0, 4, 4, 4, 0, 4, -2\
, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 0, -4, 0, 2, 2 ], [ 2, 0, 6, -8, 2, 4, 0, -2\
, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, -4, 4, 2, -8, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 2, -2, 0, 2, 2, -4, 0 ], [ 0, 0, 2, -2, 0\
, 2, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, \
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1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 3, 3, -6, 6, -3, 1, -4, 1, 6, 1, 2, -1, 3\
, 1, -1, -2, 2, 2, -5, -4, -8, -6, -1, -6, -2 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3, 6, 2, 0, 0, 0 ], [ 0, 0, 1,\
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, -1, 0, -2, -2, 0, -1, 0 ], [ 0, 0, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 2, 2, 2, 2, 1 ], rlifts := [ [ 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0,\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
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 [ 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1"\
, "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 2, 2, 2, 2, 1 ], [ -2, -1, -2, \
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 1, 0, 0 ], [ -2, -1, -2, -4, -3, -2, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 2, 1, -3, 3, -1, 1, 0, -1, 0, 0, 0, 0, 0, \
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 [ 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, -2, 0, 0, 2, 2, 1, 0, 1, 1, 1, -1, 0 ], [ 0, 1, 2, -3, 3, -2, 2, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 3, 1, \
-1, 0, 1, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0,\
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2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2, 0 ], [ 0, 2, 1, -3, 3, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1, 0 ], \
[ 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0\
, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -70, -40, -105, -54, -86, -38, -56, 7, 5, 14, -4, 18, 5, 0, 18, -4, 2 ], [ -40, -26, -63, -34, -50, -24,\
 -33, 4, 5, 10, -1, 8, 5, 0, 10, 0, 0 ], [ -105, -63, -164, -85, -133, -58, -81, 9, 8, 20, -5, 22, 8, 0, 24, -4, 2 ], [ -54, -34, -85, -46, -68, -32, -45,\
 6, 7, 14, -1, 12, 7, 0, 14, 0, 0 ], [ -86, -50, -133, -68, -110, -46, -64, 7, 5, 14, -4, 18, 5, 0, 18, -4, 2 ], [ -38, -24, -58, -32, -46, -24, -35, 5, 6\
, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -56, -33, -81, -45, -64, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 7, 4, 9, 6, 7, 5, 12, -6, -4, -7, -2, -8, -4,\
 -1, -6, -2, 0 ], [ 5, 5, 8, 7, 5, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 14, 10, 20, 14, 14, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4,\
 4 ], [ -4, -1, -5, -1, -4, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 18, 8, 22, 12, 18, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 5, 5, 8\
, 7, 5, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 18, 10, 24, 14, 18, 12, 24, -6, -6, \
-12, 0, -12, -6, 0, -12, 0, 0 ], [ -4, 0, -4, 0, -4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 2, 0, 2, 0, 2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ]\
, GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 0, 2, 2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0\
, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 2, 0, 2, -4, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], S\
igma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,\
 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 3, 3, -4, 5, -3, -2, -4, 3, 6, 1, 2, -1, 3, 1, -1, -2, 2, 1, -\
6, -2, -6, -7, 0, -7, -2 ], embQ := [ [ 0, 1, 0, 0, 0, 1, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 4, 2, -5, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -3, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 2, 0, -3, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, -8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -1, 5, 2, -8, 0, 0 ], [ 0, 0, 0, 0\
, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -1, 3, 1, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 2, -7, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1\
, -3, 5, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, -2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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1, 0, -1, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0,\
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0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "A3" ], theg :\
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, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 0, 0, 4, -4, 2 ], [ 2, 0, 6, -12, 2, 2, -12, 6, -2\
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mbQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -2, 0, 0, \
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, -2, -6, -8, -8, -8, -6, 4, -4, 0, 4 ], [ -58, -132, -190, -98, 90, 135, 24, -7, -12, -20, -13, -26, -12, 8, -16, 4, 6 ], [ -84, -190, -276, -141, 133, 1\
99, 35, -11, -20, -32, -21, -38, -20, 12, -24, 4, 10 ], [ -43, -98, -141, -74, 65, 97, 18, -4, -7, -12, -9, -18, -7, 6, -10, 4, 4 ], [ 39, 90, 133, 65, -7\
2, -109, -17, 8, 15, 24, 11, 22, 15, -6, 18, 0, -6 ], [ 56, 135, 199, 97, -109, -172, -26, 16, 24, 40, 16, 40, 24, -8, 32, 0, -8 ], [ 11, 24, 35, 18, -17,\
 -26, -6, 1, 3, 4, 4, 4, 3, -2, 2, 0, -2 ], [ -2, -7, -11, -4, 8, 16, 1, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ -6, -12, -20, -7, 15, 24, 3, -4, -10, \
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-8, -2, -6, 2, 0, -4, 4 ], [ -8, -26, -38, -18, 22, 40, 4, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ -6, -12, -20, -7, 15, 24, 3, -4, -10, -14, -6, -6, \
-12, 2, -6, -4, 4 ], [ 4, 8, 12, 6, -6, -8, -2, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -4, -16, -24, -10, 18, 32, 2, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ]\
, [ 0, 4, 4, 4, 0, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 4, 6, 10, 4, -6, -8, -2, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2\
, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 4, -4, 0, 4, -6, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 4, 2, -8, 6, 0, -4, 6, -2 ], [ 0, -4, 0, 6, -8, 2, 4, -6, 2 ], [\
 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 4, 0, -4, 4, 2, -8, 8, -2 ], [ 0, -6, 0, 6, -6, 0, 8, -12, 4 ], [ 0, 2, 0, -2, 2, 0, -2, 4, -4 ] ], Sigma := [ [ 0, 0,\
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1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 3, 2, -5, 5, -2, 0, -4, 3, 6, 1, 2, -1, 5, 1, -3, -2, 2, 2, -7, -2, -9, -8, -2,\
 -9, -2 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 2, 2, 2, 0, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4\
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, 2, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, -2, -1, -1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, -\
2, 2, -1, 2, -3, 0, 2, -2, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 2, 2, 1, 0, -1, 0 ], [ 0, 0, 2, -2, 2, -2, 2, 0, -4, 4, 0, 0, 0, 0, 0, 0, -2, 0, 3, 1, -3, -3, -\
1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 2, 1, 0, 2, 0 ] ], r := [ 4, 2, 5, 8, 6, 5, 4, 2, 2, 1 ], rlifts := [ [ \
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1, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0,\
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0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "A3" ], \
theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 6, 5, 4, 2, 2, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -7, -6, -5, -4, -2, -2, -1 ]\
, [ 4, 2, 5, 8, 7, 5, 4, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -6, -5, -3, -2, -2, -1 ], [ 8, 4, 10, 16, 12, 10, 8, 5, 4, 2 ], [ \
-4, -2, -5, -8, -6, -5, -4, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 2, 0, -2, 2, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, -5, 0, 0, 2, \
-5, 2, -5, -5, -2, -5, -1 ], [ 0, 2, 0, -1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, -3, 0, 0, 1, -3, 1, -3, -3, -1, -4, 0 ], [ 0, 3, 1, -3, 3, 0, 0, 0, 4, 0, 0, \
0, 0, 7, 0, -7, 0, 0, 3, -7, 3, -7, -7, -3, -7, 0 ], [ 0, 4, 0, -3, 4, 0, 0, 0, 6, 0, 0, 0, 0, 10, 0, -10, 0, 0, 4, -10, 4, -10, -10, -4, -11, 0 ], [ 0, 3\
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1, -4, 0, 1, 2, -5, 2, -5, -4, -2, -5, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, -3, 0, 0, 1, -3, 1, -3, -3, -1, -3, 0 ], [ 0, 1, 0, -1, 1, 0, \
0, 0, 3, 1, 0, -1, 1, 4, 0, -4, -1, 0, 1, -4, 1, -4, -4, -1, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 2, 0, -2, 0, 0, 0, -2, 1, -1, -2, 1, -2, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 1, 2, 0, -2, 0, 0, 1, -1,\
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, -1, -3, 0, 0, 1, -2, 1, -2, -2, 1, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, -1, 0, 2, 1, -1, 1, -1, -1, 1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, -2, 2, 1, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -1, 0, -2,\
 -2, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 1, -2, -2, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2,\
 0, 0, 0, -2, 0, -1, -2, 0, -2, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -8, -14, -20, -10, 8, 8, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -14,\
 -36, -50, -26, 22, 31, -2, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ -20, -50, -72, -36, 34, 47, -7, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -10, -26, -\
36, -20, 14, 19, 2, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 8, 22, 34, 14, -24, -35, 11, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 8, 31, 47, 19, -35, -60, 22, \
12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -1, -2, -7, 2, 11, 22, -32, -9, -16, -22, -11, -12, -18, 2, -10, -8, 6 ], [ 0, -3, -5, -1, 5, 12, -9, -6, -4, -7, \
-2, -8, -4, -1, -6, -2, 0 ], [ 0, 0, -2, 2, 6, 12, -16, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 0, -4, -8, 0, 12, 24, -22, -7, -13, -20, -6, -12, -14\
, 2, -12, -4, 4 ], [ 0, 3, 3, 3, -1, 0, -11, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 0, -10, -14, -6, 10, 24, -12, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0\
 ], [ 0, 0, -2, 2, 6, 12, -18, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 0, -8, -12, -4, 12, \
24, -10, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 0, 4, 4, 4, 0, 0, -8, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 0, -2, -2, -2, 0, 0, 6, 0, 4, 4, 4, 0, 4\
, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -2, -4, 0, 0, 2, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, -2, 2, -8, 0, 0\
, 0, 2, -6 ], [ 0, -4, 0, 0, -8, 2, 0, 2, -6 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 2, 0, 2, 2, 0, 2, -4, 4 ], [ 0, -6, 0\
, -6, -6, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ \
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1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, -1, 2, 0, 0, 1, 0\
, 0, 0, 0, -1, -1, 0, 1, 0, 0 ], [ 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0,\
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 1, 2, -1, 3, 1, -1, -4, 2, 2, -5, -5, -10, -8, -1, -9, -2 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ]\
, [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, -2, 4, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1,\
 -3, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, -3, -\
2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 1, -3, 1, 0, 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1\
, -1, 0, -1, 1, -1 ], [ 0, 0, 1, -1, 2, -3, 2, 0, -2, 2, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, -2, -1, -1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, \
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= [ 4, 2, 5, 8, 6, 5, 4, 3, 2, 0 ], rlifts := [ [ 0, 0, 0, -1, 2, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, -1, -1, 1, 0, 0 ], [ 0, 1, 0, 0, -1,\
 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -2, -1, -1, -2, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1\
 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0 ], [\
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1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 2, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0 ], [ 0, 0, 1, -2, 0, 0, -1, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [\
 "A1", "A1", "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 6, 5, 4, 3, 2, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0 ], [ -4, -2, -5, -7, -6, -5, -4, -3, -2, 0 ], [ 4, 2, 5, 8, 7, 5, 4, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -4, -2, -5, -8, -6, -5, -4, -3, -1, 0 ], [ 8, 4, 10, 16, 12, 10, 8, 6, 4, 1 ] ], thegtilde := [ [ 1, 2, 0, -3, 4, -1, \
0, 0, -2, 10, 0, 0, 0, 0, 0, 0, -5, 0, 3, -1, -5, -7, -5, 1, -4, -1 ], [ 0, 2, 0, -2, 3, -1, 0, 0, -1, 6, 0, 0, 0, 0, 0, 0, -3, 0, 2, -1, -3, -4, -3, 1, -\
3, 0 ], [ 0, 3, 1, -4, 5, -1, 0, 0, -3, 14, 0, 0, 0, 0, 0, 0, -7, 0, 4, -1, -7, -10, -7, 1, -6, 0 ], [ 0, 4, 0, -5, 8, -2, 0, 0, -4, 20, 0, 0, 0, 0, 0, 0,\
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, -3, 0, 1, 1, -3, -5, -3, -1, -4, 0 ], [ 0, 2, 0, -1, 0, 1, 0, 0, -2, 7, 0, -1, 1, 0, 0, 0, -4, 0, 1, 1, -3, -5, -3, -1, -5, 0 ], [ 0, 1, 0, -1, 1, 0, 0,\
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], [ 0, 2, 0, 0, -2, 2, 0, 0, -2, 4, 0, -2, 1, 0, 0, 0, -2, 0, 1, 3, -2, -4, -1, -2, -4, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, 0, 1, -2, 0, -2, 2, \
2, 1, -1, -2, -1, 1, -4, 0 ], [ 0, 2, 0, -1, 0, 1, 0, 0, -2, 6, 0, 0, 0, 0, -1, 0, -3, 0, 2, 2, -2, -4, -2, 0, -4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, -1, 0, 0 ], \
[ 0, 1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, -2, -3, -2, 0, -2, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, \
-1, -3, -2, 0, -2, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -2, -2, -2, 0, -2, 0 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 2, 0, 0, 0\
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mQ := [ [ -110, -71, -177, -85, -128, -37, -54, 3, -5, 2, -10, 18, -7, 0, 16, -12, 6 ], [ -71, -48, -117, -56, -83, -23, -31, 0, -5, -2, -7, 8, -7, 0, 8, \
-8, 4 ], [ -177, -117, -292, -139, -209, -56, -77, 1, -12, -4, -17, 22, -16, 0, 20, -20, 10 ], [ -85, -56, -139, -68, -101, -31, -43, 2, -3, 2, -7, 12, -5\
, 0, 12, -8, 4 ], [ -128, -83, -209, -101, -154, -45, -62, 3, -5, 2, -10, 18, -7, 0, 16, -12, 6 ], [ -37, -23, -56, -31, -45, -24, -35, 5, 6, 12, -1, 10, \
6, 0, 12, 0, 0 ], [ -54, -31, -77, -43, -62, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 3, 0, 1, 2, 3, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0\
 ], [ -5, -5, -12, -3, -5, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 2, -2, -4, 2, 2, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -10\
, -7, -17, -7, -10, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 18, 8, 22, 12, 18, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ -7, -7, -16, -5\
, -7, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 16, 8, 20, 12, 16, 12, 24, -6, -6, -12\
, 0, -12, -6, 0, -12, 0, 0 ], [ -12, -8, -20, -8, -12, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 6, 4, 10, 4, 6, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 \
] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 0, 4, -4, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, \
0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 4, 0, 0, 0, 2, -8, 6, 0 ], [ 0, -4, 0, 0, 0, 0, 6, -8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 \
] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 1, 0, 0, 1, -1, -1, 0, \
0, -1, 0, 1, 0, -1, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, \
-1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 8, 2, -4, 10, -8, -6, -4, 8, 18, 1, 2, -1, 9, 1, -7, -8, 2, 4, -14, -3, -13, -21, -1, -19, -2 ], embQ := [ [\
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, 0, -3, -4, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, -8, 4, 0, 0, 0, 0, 1, -2, 0, 0, 0, -2, -1, 1, -4, -10, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0, 0,\
 1, -1, 0, 0, 0, -2, -1, 1, -2, -5, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -7, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 2, -1, -8, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, \
0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -3, 5, 2, -2, 0, 0 ], [ 0,\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ] ] ), rec( GramQ := [ [ -28, -10, -14, -24, -8, 15, 16, -3, -6, -8, -2, 0, -8, -1, -2, -5, \
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, 2, -12, -4, 4 ], [ -2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 0, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ],\
 [ -8, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -2, 0, -8, -12, -4, 12,\
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, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -4, 4, 0, 0, 0, 0, 0 ], [ -4, 0, 4, -20, 4, 4, -4,\
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2, 0, 2, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 1, 0\
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], [ 0, 0, 1, -1, 1, -1, 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 0 ] ], r := [ 7, 5, 10, 15, 12, 9, 8, 5, 4, 1 ], rlifts := [ [ 1, 0, \
0, -1, 1, 0, 0, 0, -1, 2, 0, 0, 0, 1, 0, -1, -1, -1, 1, 0, -1, -2, -1, 0, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [\
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0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3", "A3" ], theg := [ [ 8, 5, 10, 15\
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[ -14, -10, -20, -30, -24, -18, -16, -10, -7, -2 ], [ 14, 10, 20, 30, 24, 18, 16, 10, 8, 3 ] ], thegtilde := [ [ 8, 0, 0, -7, 7, 0, 0, 0, -7, 14, 0, 0, 0,\
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), rec( GramQ := [ [ -30, 8, 22, 34, 14, -23, -35, 5, 10, 16, 5, 12, 10, -3, 12, 1, -4 ], [ 8, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
22, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ 34, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ 14, -10\
, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ -23, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -35, 8, 31, 47, 19, -35\
, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 5, 0, -3, -5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 10, 0, 0, -2, 2, 6, 12, -4, -10, -13, -\
6, -6, -10, 2, -6, -4, 4 ], [ 16, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ 5, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0,\
 -4, 4 ], [ 12, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 10, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ \
-3, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 12, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 1, 0, 4, 4, 4, 0, 0, -2,\
 -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -4, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 0, 2, -2, 0 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [\
 2, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 8, 2, 2, -4, 4, -2, -\
4, -4, 6, 6, 1, 2, -1, 7, 1, -5, -2, 2, 1, -9, 1, -7, -10, -1, -11, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 2\
, 0, -3, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -2,\
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 0, 1, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 1, -1, 1, -\
1, 1, 0, -2, 2, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, -1, -2, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 2, 1, 0, 2, 0 \
] ], r := [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, -1, -1 ] ], rootsQ :\
= [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, \
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, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 -1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1\
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A1", "A3", "A3", "A3" ], theg := [ [ 5, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -8, -6, -12, -18, -16, -14, -11, -6, -4, -2 ], [ 8, 6, 12, 18, 16, \
14, 12, 7, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 4, 0, -4\
, 0, 0, 0, -4, 4, 0, -4, 0, -4, -3 ], [ 3, 1, 0, 0, 0, 0, -3, 0, 3, 0, 0, 0, 0, 3, 0, -3, 0, 1, 0, -3, 3, 0, -3, 0, -4, -2 ], [ 6, 0, 1, 0, 0, 0, -6, 0, 6\
, 0, 0, 0, 0, 6, 0, -6, 0, 0, 0, -6, 6, 0, -6, 0, -6, -3 ], [ 9, 0, 0, 1, 0, 0, -9, 0, 9, 0, 0, 0, 0, 9, 0, -9, 0, 1, 0, -9, 9, 0, -9, 0, -10, -5 ], [ 8, \
0, 0, 0, 1, 0, -8, 0, 8, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, -8, 8, 0, -8, 0, -8, -4 ], [ 7, 0, 0, 0, 0, 1, -7, 0, 7, 0, 0, 0, 0, 7, 0, -7, 0, 1, 0, -7, 7, 0, \
-7, 0, -8, -4 ], [ 6, 0, 0, 0, 0, 0, -5, 0, 6, 0, 0, 0, 0, 6, 0, -6, 0, 0, 0, -6, 6, 0, -6, 0, -6, -3 ], [ 5, 0, 0, 0, 0, 0, -4, -1, 6, 0, 0, 0, 0, 5, -1,\
 -4, 0, 0, 0, -5, 5, 0, -4, 0, -5, -2 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 2, 0, -2, 0, -2, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0\
, 1, 1, 0, -1, 1, 1, 0, -1, -1, 1, 0, -1, 1, 0, -1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, -1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 2, 1, 1, 1, 1, 1, 1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, \
1, 1, 1, 1, 0, 0 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, -2, -1, 0, 0, 1, -1, 3, 1, -1, 1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0\
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 0, -1 ] ] ), rec( GramQ := [ [ -40, 8, 30, 42, 22, -23, -35, 3, -3, 2, -8, 12, -5, 1, 12, -7, 4 ], [ 8, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 30, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ 42, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ],\
 [ 22, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ -23, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -35, 8, 31, 4\
7, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 3, 0, -3, -5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ -3, 0, 0, -2, 2, 6, 12, -4, -\
10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 2, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -8, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2,\
 -6, 2, 0, -4, 4 ], [ 12, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ -5, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -\
4, 4 ], [ 1, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 12, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -7, 0, 4, 4, 4,\
 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 4, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, 2, -8, 2, 0 ],\
 [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 2, 0, 0, 0, 2, -4, 4, 0\
, 0 ], [ -8, 0, 0, 0, 0, 4, -20, 4, 2 ], [ 2, 0, 0, 0, 0, 0, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, \
0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 8, 2, 2, -4,\
 4, -2, -4, -4, 2, 14, 1, 2, -1, 3, 1, -1, -6, 2, 1, -5, -5, -9, -10, 1, -11, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 := [ "A1", "A1", "A3", "A3", "A3" ], theg := [ [ 5, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -14, 4, 11, 15, 7, -8, -15, 3, 7, 10, 6, 8, 7, -3, 6, 1, -4 ], [ 4, -8, -14, -20, -10, 8, \
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jweyl := [ 8, 2, 6, -8, 8, -6, 0, -4, 2, 6, 1, 2, -1, 7, 1, -5, -2, 2, 5, -9, -1, -9, -10, 1, -7, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1 ] ], embQperp := [ [ -4, 0, -1, 3, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -3, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, \
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 -3, 0 ], [ 0, 0, 1, -1, 1, -1, 1, 0, -2, 2, 0, 0, 0, -1, 0, 1, -1, 0, 1, 1, -2, -1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0\
, -1, -1, 2, 2, 1, 0, 2, 0 ] ], r := [ 4, 3, 6, 9, 8, 7, 6, 4, 4, 2 ], rlifts := [ [ 1, 0, 1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, -1, 1, 0\
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 rootstypeQ := [ "A1", "A1", "A3", "A3", "A3" ], theg := [ [ 5, 3, 6, 9, 8, 7, 6, 5, 4, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ -8, -6, -12, -18, -16, -14, -12, -10, -7, -2 ], [ 8, 6, 12, 18, 16, 14, 12, 10, 8, 3 ] ], thegtilde := [ [ 7, 0, 6, -6, 6, -6, 0,\
 0, -6, 12, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0, -6, -6, -6, 6, 0, -4 ], [ 3, 1, 3, -3, 3, -3, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, -3, 1, 3, 0, -3, -3, -3, 3, -1, -2\
 ], [ 8, 0, 9, -8, 8, -8, 0, 0, -8, 16, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, -8, -8, -8, 8, 0, -4 ], [ 13, 0, 13, -12, 13, -13, 0, 0, -13, 26, 0, 0, 0, 0, 0, 0,\
 -13, 1, 13, 0, -13, -13, -13, 13, -1, -7 ], [ 12, 0, 12, -12, 13, -12, 0, 0, -12, 24, 0, 0, 0, 0, 0, 0, -12, 0, 12, 0, -12, -12, -12, 12, 0, -6 ], [ 11, \
0, 11, -11, 11, -10, 0, 0, -11, 22, 0, 0, 0, 0, 0, 0, -11, 1, 11, 0, -11, -11, -11, 11, -1, -6 ], [ 8, 0, 8, -8, 8, -8, 1, 0, -8, 16, 0, 0, 0, 0, 0, 0, -8\
, 0, 8, 0, -8, -8, -8, 8, 0, -4 ], [ 7, 0, 7, -7, 7, -7, 1, -1, -6, 14, 0, 0, 0, 0, -1, 1, -7, 0, 7, 0, -7, -7, -6, 7, 0, -3 ], [ 6, 0, 6, -6, 6, -6, 0, 0\
, -5, 12, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0, -6, -6, -6, 6, 0, -3 ], [ 3, 0, 3, -3, 3, -3, 0, 0, -3, 7, 0, -1, 1, 0, 0, 0, -4, 1, 3, 0, -3, -3, -3, 3, -1, -2 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, -1 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, -1, 0, 0, 0, 0, -2, 0, 3, 1, \
-2, -2, -1, 2, 0, -1 ], [ 4, 0, 4, -4, 4, -4, 0, 0, -4, 8, 0, -2, 1, 0, 0, 0, -4, 0, 5, 1, -4, -4, -3, 4, 0, -2 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, 0\
, 0, 1, -2, 0, -2, 2, 3, 1, -1, -1, -1, 3, -2, -1 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, 0, 0, 0, -1, 0, -2, 0, 3, 1, -1, -1, -1, 3, 0, -1 ], [ 2, 0, 2,\
 -2, 2, -2, 0, 0, -2, 4, 0, 0, 0, 0, -2, 1, -2, 0, 3, 1, -1, -1, -1, 3, 0, 0 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, -2, 2, 0, 0, 0, -3, 0, 2, 0, -2, -2,\
 -2, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -\
2, 0, 3, 0, -2, -2, -2, 2, 0, -1 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 2, 1, -2, -2, -2, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -2, 2, -2, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, -1, -2, 2, 0, -1 ], [ 0, 0, 0,\
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 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -12, -2, -13, -19, -9, 12, 20, -3, 0, -4, 4, -8, 0, -1, -8, 3, -3 ], [ -2, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ -13, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ -19, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, \
-12, 4, -2 ], [ -9, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 12, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 2\
0, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -3, 0, -3, -5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 0, 0, 0, -2, 2, 6\
, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ -4, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ 4, 0, 3, 3, 3, -1, 0, -2, -6, \
-6, -8, -2, -6, 2, 0, -4, 4 ], [ -8, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 0, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12\
, 2, -6, -4, 4 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -8, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 3, 0\
, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -3, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -4, -4, 2, 2, 0, 0,\
 0, 0, 0 ], [ -4, -20, 6, 4, 0, 0, 0, 0, 0 ], [ 2, 6, -4, 0, 0, 0, 0, 0, 0 ], [ 2, 4, 0, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0\
, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0,\
 -1, 0 ], [ 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2,\
 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 8,\
 6, 2, -8, 8, -6, 0, -4, 6, 6, 1, 2, -1, 3, 1, -1, -2, 2, 1, -9, -3, -7, -10, -1, -5, -4 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -2, -2, 1, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, -2, 4, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -3, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 1, -2\
, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -3, 5, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2\
, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 2, 0, 0, 0, 0, 0, 1, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, -2, -1, 0, 0, 0 ], [ 0, 0, 0, 0\
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embQperp := [ [ -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1 ], [ 4, 1, 1, -4, -1, 3, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, -2, 1, -2, 0, -2 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 1, \
-2, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, -1, 1, -1, 1, 1, 1, 2, 0 ], [ 0,\
 0, 1, -1, 1, -1, 1, 0, -2, 2, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, -1, -2, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2,\
 2, 1, 0, 2, 0 ] ], r := [ 3, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 1, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 1, 0\
 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ -1, -1, 0, 1, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 1,\
 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 0\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, \
-1, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 1, 0, 1, 0 ], [ -1, -1, 0, 1, -1, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],\
 [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1\
, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootsty\
peQ := [ "A1", "A1", "A3", "A3", "A3" ], theg := [ [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], [ 6, 3, 8, 14, 12, 10, 8, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]\
, [ -3, -1, -4, -6, -6, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 6, 5, 0, -5, 5, -5, 0, 0, 5, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -5, 0, 0, -5, 0, 3, -3 ], [ 3, 4, 0, -3, 3, -3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3, 0, 1, -1 ], [ 8, 8, 1, -8, 8, -8,\
 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 4, -4 ], [ 11, 11, 0, -10, 11, -11, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, -11, 0, 5,\
 -5 ], [ 10, 10, 0, -10, 11, -10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -10, 0, 5, -5 ], [ 9, 9, 0, -9, 9, -8, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -9, 0, 0, -9, 0, 4, -4 ], [ 8, 8, 0, -8, 8, -8, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 4, -4 ], [ 5, 5, 0, -5, 5, -5, 1, -1, 6, \
0, 0, 0, 0, 0, -1, 1, 0, 1, 0, -5, 0, 0, -4, 0, 2, -3 ], [ 4, 4, 0, -4, 4, -4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 2, -2 ], [ 5, 5, 0,\
 -5, 5, -5, 0, 0, 5, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -5, 0, 0, -5, 0, 2, -2 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -2,\
 1, 2, 0 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1 ], [ 4, 4, 0, -4, 4, -4, 0, 0, 4, 0, 0, -2, 1, 0, 0, 0, 0\
, 0, 1, -3, 0, 0, -3, 0, 2, -2 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 1, -2, 0, 0, 2, 1, -1, 1, 1, -1, 1, -1, -1 ], [ 4, 4, 0, -4, 4, -4, 0, 0, 4, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -3, 1, 1, -3, 1, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 2, 1, 1, 1, 1, 1, 1, -1, -1 ], [ 2, 2, 0, -\
2, 2, -2, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, -1, 0, 0, -2, 0, 0, -2, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, -2, 0, 1, -1 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, -2, 0, 1, -1 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -2, 0, 1, -2, 0, 1, -1 ], [ 2, 2, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ] ), rec( GramQ := [ [ -66, 16, 43, 59, 33, -26, -34, -1, -5, -2, -7, 8, -7, -1, 8, -9, 3\
 ], [ 16, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 43, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ 59, -20, -50,\
 -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ 33, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ -26, 8, 22, 34, 14, -2\
4, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -34, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -1, 0, -3, -5, -1, 5, 12, -6, -4, -7, \
-2, -8, -4, -1, -6, -2, 0 ], [ -5, 0, 0, -2, 2, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ -2, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, \
2, -12, -4, 4 ], [ -7, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 8, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [\
 -7, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 8, 0, -8, -12, -4, 12, 24\
, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -9, 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 3, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0\
, 2, -4 ] ], GramQperp := [ [ -12, 4, 0, -10, 0, 6, -20, 6, -2 ], [ 4, -8, 2, 8, 0, -4, 12, -4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ -10, 8, 2, -24, 2, \
10, -32, 10, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 6, -4, 0, 10, 2, -8, 16, -4, 2 ], [ -20, 12, 0, -32, 0, 16, -52, 16, -6 ], [ 6, -4, 0, 10, 0, -4, 16,\
 -8, 4 ], [ -2, 2, 0, -4, 0, 2, -6, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, -1, -1 ], [ 1, 1, 0, -1, 2, -1, 0, -1, 0, 0, 1, 0, -1, 1, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 8, 6, 2, -8, 12, -6, -4, -4, 2, 14, 1, 2, -1, 7, 1, -5, -6, 2, 5, -9,\
 -5, -13, -14, 1, -13, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 1, 0, 0, -5, 2, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, -2, -5, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, \
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, -2, 4, 0, 0 ], [ 0, 0, 0, \
1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -3, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 3, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 -1, -3, 5, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
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, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, -1, 3, 0, 1, -2, 0, 2, -4, 0, 0, 0, 1\
, 0, -1, 2, 0, -1, -1, 3, 2, 1, 0, -1, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, -2, -2, 0, 0, -2, 0 ], [ 0, -1, -1, 1, 0, 0,\
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[ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -1, -\
2, -2, 0, -2, 0 ], [ 0, 0, -2, 2, 0, 2, -4, 0, 6, -12, 0, 0, 0, 2, 0, -2, 6, 0, -3, -3, 8, 6, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, -2, \
0, 2, -2, 0, 0, 2, -3, -1, 0, 1, 0, 0 ], [ 0, 0, 1, -1, 1, -1, 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 0 ] ], r := [ 9, 5, 12, 19, 16,\
 13, 12, 8, 6, 2 ], rlifts := [ [ 1, 1, 0, -1, 2, -1, -1, 0, 0, 2, -1, 0, 0, 1, 0, -1, -1, 1, 1, -1, 0, -1, -2, 1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [\
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 0, -1, 1, 1, -1, -1 ], [ -1, -1, 0, 1, -2, 1, 0, -1, 0, 0, -1, 1, 1, 0, -1, 2, 1 ], [ 1, 1, 0, -1, 2, -1, 0, 1, 0, 0, 1, -1, -1, 0, 1, -2, -1 ], [ 1, 1, \
0, -1, 2, -1, 0, 1, 0, 0, 1, -1, -1, -1, 1, -2, 0 ], [ -1, -1, 0, 1, -2, 1, 0, -1, 0, 0, -1, 1, 1, 1, -1, 2, 0 ], [ 1, 1, 0, -1, 2, -1, 0, -1, 0, 0, 1, 0,\
 -1, 0, 1, -1, 0 ], [ -1, -1, 0, 1, -2, 1, 0, 1, 0, 0, -1, 0, 1, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0,\
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, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, \
0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ \
"A1", "A1", "A3", "A3", "A3" ], theg := [ [ 10, 5, 12, 19, 16, 13, 12, 8, 6, 2 ], [ 18, 11, 24, 38, 32, 26, 24, 16, 12, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0 ], [ -9, -5, -12, -18, -16, -13, -12, -8, -6, -2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 18, 10, 24, 38, 32, 27, 24, 16, 12, 4 ], [ -27, -15, -36, -57, -\
48, -39, -35, -24, -18, -6 ], [ 18, 10, 24, 38, 32, 26, 24, 17, 12, 4 ], [ -18, -10, -24, -38, -32, -26, -24, -16, -11, -4 ], [ 18, 10, 24, 38, 32, 26, 24\
, 16, 12, 5 ] ], thegtilde := [ [ 12, 11, 0, -11, 22, -11, -11, 0, 0, 22, -1, 0, 0, 11, 0, -11, -11, 0, 11, -11, -5, -16, -22, 6, -16, -6 ], [ 7, 8, 0, -7\
, 14, -7, -7, 0, 0, 14, 1, 0, 0, 7, 0, -7, -7, 0, 7, -7, -4, -11, -14, 3, -12, -4 ], [ 16, 16, 1, -16, 32, -16, -16, 0, 0, 32, 0, 0, 0, 16, 0, -16, -16, 0\
, 16, -16, -8, -24, -32, 8, -24, -8 ], [ 23, 23, 0, -22, 46, -23, -23, 0, 0, 46, 1, 0, 0, 23, 0, -23, -23, 0, 23, -23, -12, -35, -46, 11, -36, -12 ], [ 20\
, 20, 0, -20, 41, -20, -20, 0, 0, 40, 0, 0, 0, 20, 0, -20, -20, 0, 20, -20, -10, -30, -40, 10, -30, -10 ], [ 19, 19, 0, -19, 38, -18, -19, 0, 0, 38, 1, 0,\
 0, 19, 0, -19, -19, 0, 19, -19, -10, -29, -38, 9, -30, -10 ], [ 18, 18, 0, -18, 36, -18, -17, 0, 0, 36, 0, 0, 0, 18, 0, -18, -18, 0, 18, -18, -9, -27, -3\
6, 9, -27, -9 ], [ 12, 12, 0, -12, 24, -12, -11, -1, 1, 24, 0, 0, 0, 12, -1, -11, -12, 1, 12, -12, -6, -18, -23, 6, -18, -6 ], [ 8, 8, 0, -8, 16, -8, -8, \
0, 1, 16, 0, 0, 0, 8, 0, -8, -8, 0, 8, -8, -4, -12, -16, 4, -12, -4 ], [ 8, 8, 0, -8, 16, -8, -8, 0, 0, 17, 2, -1, 1, 8, 0, -8, -9, 0, 8, -8, -5, -13, -16\
, 3, -14, -5 ], [ 4, 4, 0, -4, 8, -4, -4, 0, 0, 8, 1, 0, 0, 4, 0, -4, -4, 0, 4, -4, -2, -6, -8, 2, -7, -3 ], [ 2, 2, 0, -2, 4, -2, -2, 0, 0, 4, 2, -1, 0, \
2, 0, -2, -2, 0, 3, -1, -2, -4, -3, 0, -4, -2 ], [ 4, 4, 0, -4, 8, -4, -4, 0, 0, 8, 2, -2, 1, 4, 0, -4, -4, 0, 5, -3, -3, -7, -7, 1, -7, -3 ], [ 2, 2, 0, \
-2, 4, -2, -2, 0, 0, 4, 2, 0, 0, 3, -2, -2, -2, 2, 3, -1, -1, -3, -3, 1, -6, -2 ], [ 6, 6, 0, -6, 12, -6, -6, 0, 0, 12, 0, 0, 0, 6, -1, -6, -6, 0, 7, -5, \
-2, -8, -11, 4, -9, -3 ], [ 2, 2, 0, -2, 4, -2, -2, 0, 0, 4, 0, 0, 0, 2, -2, -1, -2, 2, 3, -1, 0, -2, -3, 2, -3, -1 ], [ 2, 2, 0, -2, 4, -2, -2, 0, 0, 4, \
2, -2, 2, 2, 0, -2, -3, 0, 2, -2, -2, -4, -4, 0, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, -2, 4, -2, -2, 0, 0, 4, 0, 0, 0, 2, 0, -2, -2, 0, 2, -1, -1, -3, -4, 1, -\
3, -1 ], [ 4, 4, 0, -4, 8, -4, -4, 0, 0, 8, 0, 0, 0, 4, 0, -4, -4, 0, 4, -4, -1, -6, -8, 2, -6, -2 ], [ 4, 4, 0, -4, 8, -4, -4, 0, 0, 8, 0, 0, 0, 4, 0, -4\
, -4, 0, 4, -4, -2, -5, -8, 2, -6, -2 ], [ 2, 2, 0, -2, 4, -2, -2, 0, 0, 4, 0, 0, 0, 2, 0, -2, -2, 0, 2, -2, -1, -3, -3, 1, -3, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -2, -1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ] ] ), rec( GramQ := [ [ -42, -12, -11, -17, -9, 1, -12, 5, 5, 10, 2, 14, 3, -2\
, 12, -2, -2 ], [ -12, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -11, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [\
 -17, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -9, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 1, 8, 2\
2, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -12, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 5, 0, -3, -5, -1, 5, 12, \
-6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 5, 0, 0, -2, 2, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 10, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6,\
 -12, -14, 2, -12, -4, 4 ], [ 2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 14, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12\
, 0, 0 ], [ 3, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -2, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 12, 0, -8, -12,\
 -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -2, 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -2, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4,\
 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, -4, 0, 4, -4, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 6\
, 0, -4, 4, 0 ], [ -4, 0, 0, 6, -8, 2, 4, -4, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 4, 0, 0, -4, 4, 2, -8, 6, 0 ], [ -4, 0, 0, 4, -4, 0, 6, -8, 4 ], [ 0,\
 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 1, 1, -1, -1, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
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0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 2, 1, 0, 2, 0 ] ], r := [ 2, 2, 4, 6, 5, 4, 4, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, -1, 0, 1, -1,\
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 [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 5, 4, 8, 12, 10,\
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[ 2, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -1, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 6, 0, -10, -14, \
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12, 4, 2, -8, 6, -2 ], [ -4, 0, -4, 12, -4, 0, 6, -8, 4 ], [ 2, 0, 2, -6, 2, 0, -2, 4, -4 ] ], Sigma := [ [ 1, 1, 1, -2, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1\
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-2, 0, -1, -1 ] ], rootsQ := [ [ 1, 1, 1, -2, 1, -1, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, 0 ], [ -1, -1, -1, 2, -1, 1, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 0 ], [ \
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0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A3", "A3", "A3" ], theg := [ [ 19, 12, 24, 40, 32, 28, 24, 16, 12, 4 ], [ 0, 1, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -18, -12, -24, -40, -32, -28, -23, -16, -12, -4 ], [ 18, 12, 24, 40, 32, 28, 24, 17, 12, 4 ], [ -18, -12, -24, -40, -32, -2\
8, -24, -16, -11, -4 ], [ 18, 12, 24, 40, 32, 28, 24, 16, 12, 5 ] ], thegtilde := [ [ 23, 11, 11, -22, 11, 0, -11, 0, 0, 22, 0, 0, 0, 11, 0, -11, -11, -1,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1 ] ] ), rec( GramQ := [ [ -48, -8, -30, -44, -22, 24, 36, -5, 4, -2, 11, \
-12, 4, -4, -12, 6, -8 ], [ -8, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -30, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4\
, -2 ], [ -44, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -22, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ],\
 [ 24, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 36, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -5, 0, -3, -5, \
-1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 4, 0, 0, -2, 2, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ -2, 0, -4, -8, 0, 12, 24, -7, -1\
3, -20, -6, -12, -14, 2, -12, -4, 4 ], [ 11, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ -12, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -1\
6, -6, 0, -12, 0, 0 ], [ 4, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -4, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -1\
2, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ 6, 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -8, 0, -2, -2, -2, 0, 0\
, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -20, 0, -16, 18, 0, 0, 8, -12, 4 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -16, 2, -20, 18, 0, 0, 8, -12\
, 4 ], [ 18, 0, 18, -20, 2, 0, -8, 12, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 8, 0, 8, -8, 0, 2, -8, 8, -2 ], [ -12, 0, -\
12, 12, 0, 0, 8, -12, 4 ], [ 4, 0, 4, -4, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 1, 1, 1, -2, 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
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 -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 16, 8, 8, -16, 10, -8, 0, -4, 8, 6, 1, 2, -1, 9, 1, -7, \
-2, 2, 4, -14, 0, -10, -15, -4, -7, -8 ], embQ := [ [ 2, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -4, -3, 2, 0, 0 ], [ 0, 1, 0, 0, 0,\
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, -1, 2, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 14, 12, 10, 8, 5, 4, 2 ], rlifts := [ [ 2, 1, 1, -2, 1, -1, -1, 2, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 1, -1, 1, 0, -2, 0, 0, -1 ] ], rootsQ := [ [ 1, 1, 1, \
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 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 13, 8, 16, 28, 24, 20, 16\
, 10, 8, 4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 17, 28, 24, 20, 16, 10, 8, 4 ], [ -12, -8, -16, -27, -24, -20, -16, -10, -8, -4 ], [ 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -14, -12, -10, -7, -5, -4, -2 ], [ 12, 8, 16, 28, 24, 20, 16, 11, 8, 4 ], [ -6, -4, -8\
, -14, -12, -10, -8, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 17, 8, 8, -16, 8, -8, 0, 0, 8, 0, 0, 0, 0, 8, 0, -8, 0, 0, 4, -12,\
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0, 0, 0, 0, 0, 10, 0, -10, 0, 0, 5, -15, 5, -5, -15, -5, 0, -10 ], [ 36, 18, 18, -35, 18, -18, 0, 0, 18, 0, 0, 0, 0, 18, 0, -18, 0, 0, 9, -27, 9, -9, -27,\
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4, -4, 0, 0, 4, 0, -1, 0, 0, 4, 0, -4, 0, 0, 2, -6, 3, -1, -6, -1, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, 0, 0, 1, -1, \
1, -1, -3, -1, 0, -2 ], [ 8, 4, 4, -8, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, -1, -4, 0, 0, 3, -5, 3, -1, -5, -1, 0, -4 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 2, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 1, -1, 1, -1, -3, -1, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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2, -4, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 1, -2, 1, -1, -3, -1, 0, -2 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 1, -3, 2, -1,\
 -3, -1, 0, -2 ], [ 8, 4, 4, -8, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 2, -6, 2, -1, -6, -2, 0, -4 ], [ -4, -2, -2, 4, -2, 2, 0, 0, -2, 0, 0, 0, 0, \
-2, 0, 2, 0, 0, -1, 3, -1, 1, 4, 1, 0, 2 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 1, -3, 1, -1, -3, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0\
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GramQ := [ [ -34, -8, -22, -36, -14, 24, 36, -7, -9, -16, -2, -12, -11, 0, -12, -2, 0 ], [ -8, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
-22, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ -36, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -14, \
-10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 24, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 36, 8, 31, 47, 19, -3\
5, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -7, 0, -3, -5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ -9, 0, 0, -2, 2, 6, 12, -4, -10, -13,\
 -6, -6, -10, 2, -6, -4, 4 ], [ -16, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2\
, 0, -4, 4 ], [ -12, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ -11, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4\
 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -12, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -2, 0, 4, 4, 4, 0,\
 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 0, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 6, 0, 0, 0, 0, 0 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, 0, 0, 0, 0, 0 ], [ 6, 0, 6, -8, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, \
0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 1, 1, 1, -2, 1, 0, 0, 0, -1, 0, 0, 0,\
 -1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 16, 8, 8, -16\
, 10, -8, 0, -4, 2, 18, 1, 2, -1, 3, 1, -1, -8, 2, 4, -8, -9, -13, -15, -1, -7, -8 ], embQ := [ [ 2, 0, 0, 0, 0, -2, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -4, -3, 3, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, -1, -2, -2, 4, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -3, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0\
, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0\
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-1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
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rp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, -2, -2, -1, 0, -3, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, -2, -2, -1, 1, -2, 0 ], [ 2, 1, 0, -2, 0, 1, 0, 0, 2, -4, 0,\
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-2, -1, 0, 0, 0 ] ], r := [ 6, 4, 8, 14, 12, 10, 8, 6, 4, 1 ], rlifts := [ [ 2, 1, 1, -2, 1, -1, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, \
0, 1, -1 ] ], rootsQ := [ [ 1, 1, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, -1, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 1, 1 ], [ 1, 1, \
1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, -1, \
0, 1, 0, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, -1, 0, 1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1 ], [ -1, -1, -1, 2, -1\
, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, \
1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 1, 1, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0\
, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, -2, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
2, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ],\
 theg := [ [ 13, 8, 16, 28, 24, 20, 16, 12, 8, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 17, 28, 24, 20, 16, 12, 8, 2 ], [ -12, -8, -16, -27, -24, -\
20, -16, -12, -8, -2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0 ], [ -6, -4, -8, -14, -12, -10, -8, -6, -3, -1 ], [ 12, 8, 16, 28, 24, 20, 16, 12, 8, 3 ] ], thegtilde := [ [ 17, 8, 8, -16, 8, -8, 0, 0, 0, 16, 0, 0, \
0, 0, 0, 0, -8, 0, 4, -4, -8, -8, -12, 0, 0, -9 ], [ 12, 7, 6, -12, 6, -6, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, -6, 0, 3, -3, -6, -6, -9, 0, -1, -6 ], [ 20, 10,\
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8, 0, 9, -9, -18, -18, -27, 0, -1, -18 ], [ 32, 16, 16, -32, 17, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -16, 0, 8, -8, -16, -16, -24, 0, 0, -16 ], [ 32, 16, \
16, -32, 16, -15, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -16, 0, 8, -8, -16, -16, -24, 0, -1, -16 ], [ 28, 14, 14, -28, 14, -14, 1, 0, 0, 28, 0, 0, 0, 0, 0, 0, -1\
4, 0, 7, -7, -14, -14, -21, 0, 0, -14 ], [ 12, 6, 6, -12, 6, -6, 1, -1, 1, 12, 0, 0, 0, 0, -1, 1, -6, 1, 3, -3, -6, -6, -8, 0, 0, -6 ], [ 8, 4, 4, -8, 4, \
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1, -3 ], [ 8, 4, 4, -8, 4, -4, 0, 0, 0, 8, -1, 0, 0, 0, 0, 0, -4, 0, 2, -2, -3, -3, -6, 1, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 0, 4, 0, 0, 0,\
 1, -2, 0, -2, 2, 2, 0, -1, -1, -2, 1, -2, -2 ], [ 8, 4, 4, -8, 4, -4, 0, 0, 0, 8, 0, 0, 0, 0, -1, 0, -4, 0, 3, -1, -3, -3, -5, 1, 0, -4 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -2, -2, -3, 0, 0, -2 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, \
0, 1, -1, -1, -2, -3, 0, 0, -2 ], [ 8, 4, 4, -8, 4, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -4, 0, 2, -2, -4, -3, -6, 0, 0, -4 ], [ -4, -2, -2, 4, -2, 2, 0, 0, \
0, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1, 2, 2, 4, 0, 0, 2 ], [ 4, 2, 2, -4, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, -2, -2, -3, 1, 0, -2 ], [ 0, 0\
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-1 ] ] ), rec( GramQ := [ [ -66, 10, 36, 48, 26, -24, -42, 5, 5, 12, 2, 20, 3, -4, 16, -6, -2 ], [ 10, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 36, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ 48, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [\
 26, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ -24, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -42, 8, 31, 47,\
 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 5, 0, -3, -5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 5, 0, 0, -2, 2, 6, 12, -4, -10,\
 -13, -6, -6, -10, 2, -6, -4, 4 ], [ 12, 0, -4, -8, 0, 12, 24, -7, -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ 2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6\
, 2, 0, -4, 4 ], [ 20, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], [ 3, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4\
 ], [ -4, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ 16, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -6, 0, 4, 4, 4, 0,\
 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -2, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 6, 0, -4, 8, -8, 8 ],\
 [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, 0, -4, 8, -8, 8 ], [ 6, 0, 6, -8, 2, 4, -8, 8, -8 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, -4, 4, 2, -\
8, 10, -8, 8 ], [ 8, 0, 8, -8, 0, 10, -20, 18, -16 ], [ -8, 0, -8, 8, 0, -8, 18, -20, 20 ], [ 8, 0, 8, -8, 0, 8, -16, 20, -28 ] ], Sigma := [ [ 1, 1, 1, -\
2, 2, -1, 0, 0, -1, 0, 2, 0, -1, -1, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -\
1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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lifts := [ [ 2, 1, 1, -2, 2, -1, -2, 2, -2, 4, 0, 0, 0, 1, 0, -2, -2, 0, 2, 0, -1, -2, -3, 1, -2, -1 ] ], rootsQ := [ [ 1, 1, 1, -2, 2, -1, 0, 0, 0, 0, 2,\
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0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 25, 16, 32, 52, 44, 36, 32, 22, 16\
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, [ -36, -24, -48, -78, -66, -54, -48, -33, -23, -6 ], [ 48, 32, 64, 104, 88, 72, 64, 44, 32, 9 ] ], thegtilde := [ [ 29, 14, 14, -28, 28, -14, -14, 0, -1\
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], [ 4, 2, 2, -4, 4, -2, -2, 0, -2, 8, 0, 0, 0, 0, 0, -1, -4, 0, 3, 1, -3, -5, -5, 1, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -1, 0, \
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, 2, 0, -2, -4, 0, 3, -1, -3, -5, -5, 2, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -26, -9, -17, -28, -11, 17, 20, -3, -3, -6, 2, -2, -5, -2, -4, -2, -2\
 ], [ -9, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -17, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -8, 4, -2 ], [ -28, -20, -5\
0, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ -11, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 ], [ 17, 8, 22, 34, 14, \
-24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ 20, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ -3, 0, -3, -5, -1, 5, 12, -6, -4, -7,\
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 2, -12, -4, 4 ], [ 2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ -2, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, -16, -6, 0, -12, 0, 0 ], \
[ -5, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -2, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ -4, 0, -8, -12, -4, 12, \
24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -2, 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ -2, 0, -2, -2, -2, 0, 0, 0, 4, 4, 4, 0, 4, -2\
, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, 0, 4, -4, 2 ], [ 0, -8, 2, -4, 0, 2, -8, 2, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, -4, 2, -12, 2, 2, -\
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 0, -2, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1\
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0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0,\
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10, 1, 2, -1, 5, 1, -3, -4, 2, 3, -7, -4, -10, -10, -1, -9, -4 ], embQ := [ [ 2, 0, 0, 0, 0, -2, 0, 0, 3, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -3, -3, 3,\
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 ] ], r := [ 6, 4, 9, 14, 12, 10, 8, 5, 4, 1 ], rlifts := [ [ 2, 1, 1, -2, 1, -1, 0, 0, 0, 2, 0, 0, 0, 1, 0, -1, -1, 0, 1, -1, -1, -1, -2, 0, -1, -1 ], [ \
2, 0, 0, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 1, 0, -1, -1, 0, 1, -1, 0, -2, -2, 0, -1, -1 ] ], rootsQ := [ [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1\
, -1 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 1, 1 ], [ 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1 ], [ -1, -1, -1, 2, -1, 0, 0, 0\
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0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 21, 12, 28, 44, 36, 32, 28, 18, 12, 4 ], [ 20, 13, 28, 44, 36, 32, 28, 18, \
12, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -20, -12, -28, -43, -36, -32, -28, -18, -12, -4 ], [ 20, 12, 28, 44, 37, 32, 28, 18, 12, 4 ], [ 0, 0, 0, 0, 0\
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 -5, -2 ], [ 20, 12, 28, 44, 36, 32, 28, 18, 12, 5 ] ], thegtilde := [ [ 25, 12, 0, -12, 12, 0, -24, 0, 12, 24, 0, 0, 0, 12, 0, -12, -12, 0, 6, -18, 6, -1\
8, -30, 6, -24, -13 ], [ 16, 9, 0, -8, 8, 0, -16, 0, 8, 16, 0, 0, 0, 8, 0, -8, -8, 0, 4, -12, 4, -12, -20, 4, -17, -8 ], [ 36, 18, 1, -18, 18, 0, -36, 0, \
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, -39, -65, 13, -53, -26 ], [ 48, 24, 0, -24, 25, 0, -48, 0, 24, 48, 0, 0, 0, 24, 0, -24, -24, 0, 12, -36, 12, -36, -60, 12, -48, -24 ], [ 40, 20, 0, -20,\
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-20, 0, 10, -30, 10, -30, -50, 10, -40, -20 ], [ 26, 13, 0, -13, 13, 0, -25, -1, 14, 26, 0, 0, 0, 12, 0, -12, -13, 0, 6, -19, 6, -20, -32, 6, -25, -13 ], \
[ 16, 8, 0, -8, 8, 0, -16, 0, 9, 16, 0, 0, 0, 8, 0, -8, -8, 0, 4, -12, 4, -12, -20, 4, -16, -8 ], [ 16, 8, 0, -8, 8, 0, -16, 0, 8, 17, 0, -1, 1, 8, 0, -8,\
 -9, 0, 4, -12, 4, -12, -20, 4, -17, -8 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4, 8, -1, 0, 0, 4, 0, -4, -4, 0, 2, -6, 3, -5, -10, 3, -8, -4 ], [ 4, 2, 0, -2, 2, \
0, -4, 0, 2, 4, 0, -1, 0, 2, 0, -2, -2, 0, 2, -2, 1, -3, -4, 1, -4, -2 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4, 8, 0, -2, 1, 4, 0, -4, -4, 0, 3, -5, 2, -6, -9, 2\
, -8, -4 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4, 8, 0, 0, 0, 3, 0, -4, -4, 0, 2, -4, 2, -6, -10, 2, -8, -4 ], [ 12, 6, 0, -6, 6, 0, -12, 0, 6, 12, 0, 0, 0, 6, -\
1, -6, -6, 0, 4, -8, 4, -8, -14, 4, -12, -6 ], [ 4, 2, 0, -2, 2, 0, -4, 0, 2, 4, 0, 0, 0, 0, 0, -1, -2, 0, 1, -1, 1, -3, -5, 1, -2, -2 ], [ 4, 2, 0, -2, 2\
, 0, -4, 0, 2, 4, 0, -2, 2, 2, 0, -2, -3, 0, 1, -3, 1, -3, -5, 1, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ -4, -2, 0, 2, -2, 0, 4, 0, -2, -4, 0, 0, 0, -2, 0, 2, 2, 0, 0, 3, -1, 3, 5, -1, 4, 2 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4, 8, 0, 0, 0, 4, 0, -4, -4, 0,\
 2, -5, 2, -6, -10, 2, -8, -4 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4, 8, 0, 0, 0, 4, 0, -4, -4, 0, 2, -6, 3, -6, -10, 2, -8, -4 ], [ 8, 4, 0, -4, 4, 0, -8, 0, 4\
, 8, 0, 0, 0, 4, 0, -4, -4, 0, 2, -6, 2, -5, -10, 2, -8, -4 ], [ 4, 2, 0, -2, 2, 0, -4, 0, 2, 4, 0, 0, 0, 2, 0, -2, -2, 0, 1, -3, 1, -3, -4, 1, -4, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -54, 10, 35, 47, 25, -25, -42, 5, 3, 1\
0, -2, 18, 1, -2, 16, -6, 0 ], [ 10, -8, -14, -20, -10, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 35, -14, -36, -50, -26, 22, 31, -3, 0, -4, 3, -10, 0, 0, -\
8, 4, -2 ], [ 47, -20, -50, -72, -36, 34, 47, -5, -2, -8, 3, -14, -2, 0, -12, 4, -2 ], [ 25, -10, -26, -36, -20, 14, 19, -1, 2, 0, 3, -6, 2, 0, -4, 4, -2 \
], [ -25, 8, 22, 34, 14, -24, -35, 5, 6, 12, -1, 10, 6, 0, 12, 0, 0 ], [ -42, 8, 31, 47, 19, -35, -60, 12, 12, 24, 0, 24, 12, 0, 24, 0, 0 ], [ 5, 0, -3, -\
5, -1, 5, 12, -6, -4, -7, -2, -8, -4, -1, -6, -2, 0 ], [ 3, 0, 0, -2, 2, 6, 12, -4, -10, -13, -6, -6, -10, 2, -6, -4, 4 ], [ 10, 0, -4, -8, 0, 12, 24, -7,\
 -13, -20, -6, -12, -14, 2, -12, -4, 4 ], [ -2, 0, 3, 3, 3, -1, 0, -2, -6, -6, -8, -2, -6, 2, 0, -4, 4 ], [ 18, 0, -10, -14, -6, 10, 24, -8, -6, -12, -2, \
-16, -6, 0, -12, 0, 0 ], [ 1, 0, 0, -2, 2, 6, 12, -4, -10, -14, -6, -6, -12, 2, -6, -4, 4 ], [ -2, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 0, 2, -2, 0, 0, -2 ], [ \
16, 0, -8, -12, -4, 12, 24, -6, -6, -12, 0, -12, -6, 0, -12, 0, 0 ], [ -6, 0, 4, 4, 4, 0, 0, -2, -4, -4, -4, 0, -4, 0, 0, -4, 2 ], [ 0, 0, -2, -2, -2, 0, \
0, 0, 4, 4, 4, 0, 4, -2, 0, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 6, -4, 0, 4, -4, 8 ], [ -4, -8, 2, 4, -4, 0, 4, -4, 8 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ]\
, [ 6, 4, 2, -8, 6, 0, -4, 4, -8 ], [ -4, -4, 0, 6, -8, 2, 4, -4, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 4, 4, 0, -4, 4, 2, -8, 6, -8 ], [ -4, -4, 0, 4, -\
4, 0, 6, -8, 12 ], [ 8, 8, 0, -8, 8, 0, -8, 12, -28 ] ], Sigma := [ [ 1, 1, 1, -2, 2, -1, 0, 0, -1, 0, 1, 0, -1, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, -1, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 16, 8, 8, -16, 16, -8, -6, -4, 2, 18, 1, 2, -1, 9, 1, -7, -\
8, 2, 10, -14, -3, -19, -21, 5, -13, -8 ], embQ := [ [ 2, 0, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -2, 0, -1, -2, 0, 0 ], [ 0, 1, 0, 0,\
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], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -3, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -\
1, -1, -1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 1, -3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, -1, -3, 5, 2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, -2, -2, -1, 0, -3, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, -2, -2, 0, 0, -2, 0 ], [ 0, -1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 0, -2, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 2, 1, 1, -1,\
 2, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, -3, -1, -1, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 1, -2, 0, 2, -4, 0, 0, 0, 1, 0, -1, 2, 0, -1, -1, 3, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, \
0, 0, -2, 0, 2, -2, 0, 0, 2, -3, -1, 0, 1, 0, 0 ], [ 0, 0, 2, -2, 2, -2, 2, 0, 2, -8, 0, 0, 0, 2, 0, -2, 4, 0, 1, -3, 4, 2, 1, 0, 4, 0 ] ], r := [ 10, 6, \
14, 22, 18, 16, 14, 10, 8, 3 ], rlifts := [ [ 2, 1, 1, -2, 2, -1, -1, 0, 0, 2, 0, -1, 0, 1, 0, -1, -1, -1, 2, -1, 0, -2, -2, 1, 0, -1 ] ], rootsQ := [ [ 1\
, 1, 1, -2, 2, -1, 0, 0, 1, 0, 1, 0, -1, 1, 1, -2, -1 ], [ -1, -1, -1, 2, -2, 1, 0, 0, -1, 0, -1, 0, 1, -1, -1, 2, 1 ], [ 1, 1, 1, -2, 2, -1, 0, 0, 0, -1,\
 1, 0, 0, 0, 2, -1, -1 ], [ -1, -1, -1, 2, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, -2, 1, 1 ], [ 1, 1, 1, -2, 2, -1, 0, 0, 1, -1, 1, 0, -1, 0, 2, -1, -1 ], [ -1, \
-1, -1, 2, -2, 1, 0, 0, -1, 1, -1, 0, 1, 0, -2, 1, 1 ], [ 1, 1, 1, -2, 2, -1, 0, 0, -1, 1, 1, 0, -1, 0, 1, -1, -1 ], [ -1, -1, -1, 2, -2, 1, 0, 0, 1, -1, \
-1, 0, 1, 0, -1, 1, 1 ], [ 1, 1, 1, -2, 2, -1, 0, 0, 0, 1, 1, 0, -2, 0, 1, -1, -1 ], [ -1, -1, -1, 2, -2, 1, 0, 0, 0, -1, -1, 0, 2, 0, -1, 1, 1 ], [ 1, 1,\
 1, -2, 2, -1, 0, 0, -1, 0, 1, 0, -1, -1, 2, 0, -1 ], [ -1, -1, -1, 2, -2, 1, 0, 0, 1, 0, -1, 0, 1, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0,\
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[ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1\
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, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ \
[ 21, 12, 28, 44, 36, 32, 28, 20, 16, 6 ], [ 20, 13, 28, 44, 36, 32, 28, 20, 16, 6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -20, -12, -28, -43, -36, -32, -2\
8, -20, -16, -6 ], [ 20, 12, 28, 44, 37, 32, 28, 20, 16, 6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -20, -12, -28, -44, -36, -32, -27, -20, -16, -6 ], [ 20,\
 12, 28, 44, 36, 32, 28, 21, 16, 6 ], [ -30, -18, -42, -66, -54, -48, -42, -30, -23, -9 ], [ 20, 12, 28, 44, 36, 32, 28, 20, 16, 7 ] ], thegtilde := [ [ 2\
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 0, 56, 0, 0, 0, 28, 0, -28, -28, 0, 42, -42, 0, -56, -70, 28, -28, -28 ], [ 48, 24, 24, -48, 48, -23, -24, 0, 0, 48, 0, 0, 0, 24, 0, -24, -24, 0, 36, -36\
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 0, -12, -12, 0, 18, -18, 0, -24, -30, 12, -12, -12 ], [ 22, 11, 11, -22, 22, -11, -11, 0, 0, 23, 0, 0, 0, 11, 0, -11, -12, 0, 17, -16, 0, -22, -27, 11, -\
12, -11 ], [ 8, 4, 4, -8, 8, -4, -4, 0, 0, 8, -1, 0, 0, 4, 0, -4, -4, 0, 6, -6, 1, -7, -10, 5, -4, -4 ], [ 8, 4, 4, -8, 8, -4, -4, 0, 0, 8, 0, -1, 0, 4, 0\
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0, 13, -11, 1, -15, -19, 9, -8, -8 ], [ 8, 4, 4, -8, 8, -4, -4, 0, 0, 8, 0, 0, 0, 4, -2, -3, -4, 2, 7, -5, 1, -7, -9, 5, -4, -4 ], [ 8, 4, 4, -8, 8, -4, -\
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 ], [ 6, 4, 8, 12, 10, 9, 8, 5, 4, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 2, 2, 1, 0, 0 ], [ 2, 1, 2, 4, 3, 2, 2, 2, 2, 1 ], [ 2, 1, 2, 4\
, 4, 4, 4, 3, 2, 1 ], [ 7, 4, 8, 14, 12, 10, 8, 5, 4, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 6, 5, 4, 2, 2, 1 ], [ 4, 2, 5, 8, 6, 5, 4, 3, 2\
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, [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 4, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], [ 4, 3, 6, 9, 8, 7, 6, 4, 4, 2 ], [ 4, 3, 6, 9, 8, 7, 6, 5, 4, 1 ], [ 3, 1, 4, 7, 6,\
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6, 10, 8, 3 ], [ 12, 8, 16, 26, 22, 18, 16, 11, 8, 2 ], [ 6, 4, 9, 14, 12, 10, 8, 5, 4, 1 ], [ 10, 6, 14, 22, 18, 16, 14, 9, 6, 2 ], [ 10, 6, 14, 22, 18, \
16, 14, 10, 8, 3 ] ], weyl := [ 4, 2, 2, -4, 4, -2, -4, 4, -2, 6, -1, -2, 1, 3, -1, -5, -4, -2, 5, -1, 1, -3, -6, 3, -1, -2 ], weylprime := [ 4, 2, 2, -4,\
 4, -2, -4, 4, -2, 6, -1, -2, 1, 3, -1, -5, -4, -1, 5, -1, 1, -3, -6, 3, -1, -2 ] ), rec( GramL26 := [ [ 4, 4, 7, 11, 8, 7, 5, 4, 3, 1, 0, 0, 0, 0, -1, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 4, -6, 4, 0, 5, 0, 3, 1, -1, -2, -1, -2, -3, -3, 1, -1, -2, -3, -1, -3, -1, 0, -1, 0, -2, 1 ], [ 7, 4, 8, 13, 11, 9, 8\
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, 0, 1 ], [ 8, 5, 11, 17, 12, 10, 9, 5, 6, 0, 0, 0, 0, 0, -1, 0, 1, -2, -1, 1, 1, -1, -2, -2, 0, -2 ], [ 7, 0, 9, 10, 10, 4, 6, 3, 5, -1, -1, -2, -3, -3, \
0, -1, -1, -2, -1, 1, 1, -1, -2, -2, 0, -1 ], [ 5, 3, 8, 11, 9, 6, 4, 4, 3, 1, -1, -1, -2, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 4, 1, 5, 7, 5, 3,\
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0 ], [ 1, -2, 1, 0, 0, -1, 1, -2, 1, -4, 0, 0, 0, 0, 0, -1, -1, -3, -2, 1, 0, -1, -2, -2, 0, -1 ], [ 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -2, -1, -2, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, -1, -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 2, 2, -2, 0, -2, 0, 0 ], [ 0, -1, -2, -2, -2, -2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0,\
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4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 2, -4, 0 ], [ -2, 1, 0, 1, -2, -1, -2, -1, 0, -1, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4 ] ], Gram\
R := [ [ -88, -36, -44, -82, -2, -8, -4, -8, -12, -12, 2, -4, -6, 2, 0, 0 ], [ -36, -20, -21, -39, 0, -1, -2, -4, -6, -6, 2, -2, -4, 1, -2, 2 ], [ -44, -2\
1, -26, -45, 1, -1, -2, -4, -6, -6, 2, -2, -4, 3, 0, 2 ], [ -82, -39, -45, -84, -1, -4, -4, -8, -12, -12, 4, -4, -8, 2, -2, 4 ], [ -2, 0, 1, -1, -4, -3, 0\
, 0, 0, 0, 0, 0, 0, -3, -2, 0 ], [ -8, -1, -1, -4, -3, -8, 0, 0, 0, 0, 0, -2, -2, -2, 0, -2 ], [ -4, -2, -2, -4, 0, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ], \
[ -8, -4, -4, -8, 0, 0, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -12, -6, -6, -12, 0, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0 ], [ -12, -6, -6, -12, 0, 0, 0, -2,\
 -2, -4, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 0, -2 ], [ -4, -2, -2, -4, 0, -2, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0 ], [ -6, -4, -4\
, -8, 0, -2, 0, 0, 0, 0, 2, -2, -4, 0, 0, 2 ], [ 2, 1, 3, 2, -3, -2, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0 ], [ 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4,\
 0 ], [ 0, 2, 2, 4, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, -4 ] ], NK := "not corresponding to Nikulin-Kondo", NKisom := "not corresponding to Nikulin-Kondo",\
 No := 10, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1/2, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1/2, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1/2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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[ 0, 0, 0, 0, 0, 0, 1, -1, -1/2, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 1/2, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1/2, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, -1, 1, 1/2, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1/2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, \
-1, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, -1, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, -1/2 ], [ 0, 0, 0, 0, 1, -1/2, 0, 0, 0, 0, 0, 0, 1/2, -1/2,\
 0, 1/2 ], [ 0, -1/2, 0, 0, -1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0, -1/2, 1/2, -1/2 ], [ 0, 1/2, 0, 0, 1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, 0, 1/2, -1/2, 1/2 ],\
 [ 0, -1/2, 1, -1/2, -1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2, -1/2 ], [ 0, 1/2, -1, 1/2, 1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, 0, 0, -1/2, 1/2 ], [ -1/2, \
0, -1/2, 1, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1, 0, -1/2, 0 ], [ 1/2, 0, 1/2, -1, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0 ], [ 1/2, 0, 0, -1/2, -1\
, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, -1 ], [ -1/2, 0, 0, 1/2, 1, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 1 ], [ 0, 1, -1/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2\
, 0, 0, -1, 0, -1/2, -1/2 ], [ 0, -1, 1/2, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2 ], [ 0, -1, 1/2, 0, -1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 1\
/2, -1/2 ], [ 0, 1, -1/2, 0, 1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, 0, 0, -1/2, 1/2 ], [ -1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, -1/2, 0 ], [ 1/2,\
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/2, 0, 0, -1/2, -1/2, 0, 0, 0, 0, -1/2, 1 ], [ 0, 1/2, -1, 1/2, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1, 0, -1/2, -1/2 ], [ 0, -1/2, 1, -1/2, 1/2, -1/2, 0, \
0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2 ], [ 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1, 1/2, -1/2, -1/2 ], [ 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 1/2, 1/2,\
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0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1/2, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1/2, 1 ], [ 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/\
2, 1/2, -1/2, 1/2 ], [ 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 1/2, -1/2 ], [ 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1, -1/2, 0, 1/2 ],\
 [ 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1, 1/2, 0, -1/2 ], [ 0, -1/2, 1, -1/2, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2 ], [ 0, 1/2, -1,\
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1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 1, -1 ], [ 1/2, 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ -1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2,\
 0, 0, 0 ], [ 0, 1, -1/2, 0, 1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, 0, 0, -1, 1/2 ], [ 0, -1, 1/2, 0, -1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 1, -1/2 ], [ 0, -\
1, 1/2, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2 ], [ 0, 1, -1/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1, 0, 0, -1/2 ], [ -1/2, 0, 0, 1/2, 1, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
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, [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, -1, -1, 0, 2, 2, 1, 1 ], [ -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, -2, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, -1, 0 ] ], r := [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts \
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1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1\
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0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0,\
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 := [ [ 0, 2, 0, 1, -2, 1, 0, 1, 3, -1, 0, 0, -2, -2, 0, 0, -2, -1, 1, -3, -2, 2, 1, -7, -4, 0 ], [ -2, 0, 2, 2, -3, 1, 0, 1, 2, -1, 0, 0, -2, -2, 0, 0, -\
2, 0, 1, -2, -1, 2, 0, -5, -2, 2 ], [ -1, 2, 0, 2, -3, 2, 0, 1, 4, -1, 0, 0, -3, -3, 0, 0, -3, -1, 1, -4, -3, 3, 1, -10, -5, 1 ], [ -2, 3, 1, 3, -5, 3, 0,\
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0, 0, 1, -1, 1, 0, 0, -1, -1, 0, 0, -2, 0, -1, 0, -1, 1, -1, -2, -1, 1 ], [ -1, 0, 1, 1, -2, 1, 0, 1, 2, -2, 0, 0, -1, -1, 0, 0, -1, 1, 1, -2, -1, 0, 0, -\
3, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
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0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -2, 0, 1 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, -1, 0, 0, 0, 1 ], [ -\
2, -1, 1, 2, -1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 0, 1, -1, 1, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1,\
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0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 0, 1, 0, 0, -1, 1, 0, 1, 2, -1, 0, 0, -1, -1, 0, 0, -1, 0, 1, -2, -1, 0, 0, -4, -2, 0 ], [ -1, 0, 2, 0, -1, 0, 0, 0,\
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 := [ [ -136, -38, -64, -104, 18, -2, 0, -8, -8, -16, -8, -6, 4, 10, 2, 0, -8 ], [ -38, -18, -21, -37, 2, 0, 1, -3, -4, -7, -5, 0, 0, 0, 1, -2, 0 ], [ -64\
, -21, -34, -53, 8, 1, 3, -4, -4, -8, -4, -2, 2, 4, 3, 0, -2 ], [ -104, -37, -53, -90, 10, -1, 2, -7, -8, -15, -9, -2, 2, 4, 2, -2, -2 ], [ 18, 2, 8, 10, \
-6, 0, -2, 1, 0, 1, -1, 2, -2, -4, 0, 0, 2 ], [ -2, 0, 1, -1, 0, -4, -3, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0 ], [ 0, 1, 3, 2, -2, -3, -8, 0, 0, 0, 0, 0, -2, -2\
, -2, 0, -2 ], [ -8, -3, -4, -7, 1, 0, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -4, -4, -8, 0, 0, 0, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -16, -7, -8,\
 -15, 1, 0, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -4, -9, -1, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0 ], [ -6, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2\
, 1, 2, 0, 0, -2 ], [ 4, 0, 2, 2, -2, 0, -2, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0 ], [ 10, 0, 4, 4, -4, 0, -2, 0, 0, 0, 0, 2, -2, -4, 0, 0, 2 ], [ 2, 1, 3, 2, 0\
, -3, -2, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0 ], [ 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 0 ], [ -8, 0, -2, -2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0\
, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 8, -2, 0 ], [ 0, 0, 0, 0, 0, 8, -12, 4, 0 ], [ 0, 0, 0, 0, 0, -2, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0\
, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 ], [ -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0\
, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, -1 ], [ 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, 0 \
], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0,\
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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, 2, 2, 2, -2, 4, -8, -4, 14, -2, 1, 1, -2, -5, 2, 1, -2, 2, 1, -11, \
-10, 0, 1, -12, -8, 5 ], embQ := [ [ 1, 0, 0, 0, -3, 0, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 4, -2, 1, 0 ], [ 0, 1, 0, 0, -1, 0, 2, -1, 0, 0, \
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, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 3, 3, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ]\
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0, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 1, 1, 1, -1, 0, -1, 0 ], [ 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1 ], [ -1, 1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0,\
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0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, -2, 0, 1, 1, 0, 0, 3, 1, 0 ], [ 1, 0, 0, -1, 2, -3, 0, 4, -2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, -1, -3, -1, -2 ]\
, [ 0, 0, 0, 0, 0, 2, 0, -6, 4, 0, 0, 0, -1, -1, 0, 0, 2, 0, 0, -2, -2, 0, 2, 2, 0, 2 ], [ -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
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 := [ [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, \
0, 1, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 ], [ 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, 0, 0, 1, -1, 1, 0, 0,\
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, 1, -1, 0 ], [ 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, -1, 1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -1, 2, -1, 0, 0, \
0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0\
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1, 0 ], [ 1, 1, 0, 0, -2, 1, 2, -4, 1, 0, 0, 0, -2, -1, 0, 0, 1, -2, 0, 0, 0, 0, 2, 5, 2, 1 ], [ 1, 0, 0, -1, 2, -3, -2, 8, -4, 0, 0, 0, 3, 2, 0, 0, -2, 1\
, 0, 2, 2, 1, -3, -5, -2, -3 ], [ 0, 0, 0, 0, 0, 2, 0, -6, 4, 0, 0, 0, -1, -1, 0, 0, 2, 0, 0, -2, -2, 0, 2, 2, 0, 2 ], [ -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, -1, 0 ] ], r := [ 3, 2, 4,\
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5" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 0, 2, 0, 1, 7, -17, 18, -9, 13, 0, 0, 0, -2, 7, -1, -1, 12, 8,\
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, -2, 4, 1, 0 ], [ 0, 1, 1, -1, 2, -4, 4, -2, 4, 0, 0, 0, 0, 2, 0, 0, 3, 2, 0, -3, -3, 1, 2, -4, -2, 0 ], [ 0, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ\
 := [ [ -34, -56, -54, -32, -78, 2, 6, 1, 4, 5, 7, -4, 4, 8, 0, 0, -4 ], [ -56, -114, -105, -63, -152, 4, 13, 3, 8, 11, 13, -4, 6, 10, -1, -2, -2 ], [ -54\
, -105, -100, -59, -142, 5, 13, 3, 8, 11, 13, -4, 6, 10, 1, 0, -2 ], [ -32, -63, -59, -38, -82, 3, 10, 1, 4, 5, 7, -2, 4, 6, 0, -2, 0 ], [ -78, -152, -142\
, -82, -210, 4, 14, 5, 12, 17, 19, -6, 8, 14, -2, 0, -4 ], [ 2, 4, 5, 3, 4, -4, -3, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0 ], [ 6, 13, 13, 10, 14, -3, -8, 0, 0, 0\
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, 11, 5, 17, 0, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0 ], [ 7, 13, 13, 7, 19, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0 ], [ -4, -4, -4, -2, -6, 0, 0, 0, 0, 0, 0\
, -2, 1, 2, 0, 0, -2 ], [ 4, 6, 6, 4, 8, 0, -2, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0 ], [ 8, 10, 10, 6, 14, 0, -2, 0, 0, 0, 0, 2, -2, -4, 0, 0, 2 ], [ 0, -1, 1,\
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0, 2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -20, 18, 8, \
-12, 4, 0 ], [ 0, 0, 0, 18, -20, -6, 12, -4, 0 ], [ 0, 0, 0, 8, -6, -8, 8, -2, 0 ], [ 0, 0, 0, -12, 12, 8, -12, 4, 0 ], [ 0, 0, 0, 4, -4, -2, 4, -4, 2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, \
1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1\
, 0, 0, -1, 0, -1, 0 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ],\
 [ 1, 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 2, -1, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 10, 10, 2, 2, -2, -20, 24, -20, 22, -2, 1, 1, -1\
0, 3, 2, 1, 14, 2, 1, -19, -18, 0, 17, -4, 0, 5 ], embQ := [ [ 1, 0, 0, 0, 1, -3, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 3, 2, 0 ], [ 0, 1, \
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6, 3, 0 ], [ 0, 0, 0, 1, 1, -4, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 4, 2, 0 ], [ 0, 0, 0, 0, 4, -7, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0,\
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 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -2, -1, -1, -1, -1, 1 ], [ 0, -2, 0, 1, -1, 1, 4, -8, 4, 0, 0, 0, -2, 0, 0, 0, 4, 1, 0, -2, -2, 0, 5, 3\
, 3, 2 ], [ 1, 1, 0, 0, -2, 1, -4, 8, -5, 0, 0, 0, 1, -1, 0, 0, -5, -2, 0, 3, 3, 0, -4, -1, -1, -2 ], [ 1, 0, 0, -1, 2, -3, 0, 4, -2, 0, 0, 0, 2, 2, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, -1, 0 ] ], r := [ 6, \
4, 8, 12, 12, 10, 7, 6, 4, 2 ], rlifts := [ [ 1, 1, 0, 0, 0, -2, 2, -1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 0, 0, 0 ] ], rootsQ := [ [ -1, 0, \
0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, \
-1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0,\
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[ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 11, 16, 15\
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mQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 4, 4, -4, 12, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 4, \
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0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0, 0, 0, 0, \
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14, 11, 10, 6, 2 ], rlifts := [ [ 0, 0, 0, 1, -1, 0, 2, -3, 2, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, -2, -2, -1, 2, 0, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, -1, 1, -\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4", \
"D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],\
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0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 3, 3, -1, 0, -2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, -5, 0, 0, -6, -6, 1 \
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c( GramQ := [ [ -88, -36, -44, -82, -17, -2, -8, -4, -8, -12, -12, 2, -4, -6, 2, 0, 0 ], [ -36, -20, -21, -39, -2, 0, -1, -2, -4, -6, -6, 2, -2, -4, 1, -2\
, 2 ], [ -44, -21, -26, -45, -5, 1, -1, -2, -4, -6, -6, 2, -2, -4, 3, 0, 2 ], [ -82, -39, -45, -84, -10, -1, -4, -4, -8, -12, -12, 4, -4, -8, 2, -2, 4 ], \
[ -17, -2, -5, -10, -18, -5, -10, 0, 0, 0, 0, 0, -2, -2, -2, 1, -2 ], [ -2, 0, 1, -1, -5, -4, -3, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0 ], [ -8, -1, -1, -4, -10,\
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-2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, -4, 0, 4, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0,\
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 4, 2, -8, 8 ], [ 0, -6, 0, 0, 6, -6, 0, 8, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 ], [ -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, \
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, -1, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, \
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:= [ 4, 2, 5, 8, 7, 5, 4, 3, 1, 0 ], rlifts := [ [ 0, 1, 0, 0, -1, 1, 0, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, 0, -1, -1, -2, 0, 0, -1, -1, 0 ] ], rootsQ := [\
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1, 0 ], [ 0, -1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 1, 0, 0, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4", "\
D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 5, 4, 3, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [\
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[ 0, 2, 0, 0, -2, 2, 0, -1, 5, -1, 0, 0, -2, -2, 0, 0, -1, 0, 0, -4, -3, 1, 1, -4, -3, 1 ], [ -1, -1, 2, 0, 0, -1, 0, 1, -2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0,\
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 4, -2, 2, 4, 0, -1, -2 ], [ -66, -35, -27, -72, -59, 2, 12, 0, 4, 4, 8, -4, 6, 10, -2, -4, -2 ], [ -59, -31, -24, -59, -62, 0, 4, 2, 6, 8, 10, -4, 4, 8, \
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], [ 8, 4, 4, 8, 10, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0 ], [ -6, -2, -2, -4, -4, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 0, -2 ], [ 6, 2, 2, 6, 4, 0, -2, 0, 0, \
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[ 0, 4, 4, 0, -2, -8, 10, -4, 2 ], [ 0, -8, -8, 0, 8, 10, -20, 10, -4 ], [ 0, 4, 4, 0, -4, -4, 10, -8, 4 ], [ 0, -2, -2, 0, 2, 2, -4, 4, -4 ] ], Sigma := \
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1 ], [ -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, \
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, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, 4, 2, -4, -8, 16, -16, 16, -2, 1, 1, -8, 1, 2, 1, 10, 2, 1, -13, -12, 2, 15, -4, 4,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, \
0, -1, 0 ], [ 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -3, 0, 0, 0, -1 ], [ -1, 1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
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0, 1, 0 ], [ 6, 3, 7, 12, 11, 9, 6, 5, 3, 2 ] ], thegtilde := [ [ 3, 2, 3, 1, -5, -5, 12, -6, 7, 0, 0, 0, -5, 1, 0, 0, 4, -1, 0, -6, -6, 6, 10, -7, 1, 0 ]\
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 [ 1, -1, 0, -1, 1, 0, 0, 0, -3, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 2, -1, -1, 2, 1, -2 ], [ 0, 1, 1, 0, -1, -1, 2, -1, 3, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -36, -23, -19, -40, -31, 6, 12, 0, 0, 0, 0, -2, 4, 6, 2, 0, 0 ], [ \
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, 7, 16, 0, 0, 0, 0, 0, 4, 4, 2, -2, 4 ], [ -31, -22, -16, -36, -44, 4, 10, 2, 4, 6, 6, -2, 4, 6, 0, 0, 0 ], [ 6, 4, 5, 7, 4, -4, -3, 0, 0, 0, 0, 0, 0, 0,\
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 4, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, 0, 4, -4, 0, 6, -2 ], [ 0, -2, -8, 2, 4, -4,\
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, 0, -6, 6, 2, -12, 4 ], [ 0, -2, -2, 0, 2, -2, 0, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 ], [ -1, 0, 0, 1, 0, 1, 0, \
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, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 1, -2, 1, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ] ], adjweyl := [ 2, 2, 4, 4, -4, -2\
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, 2, 4, 3, 0 ], [ 0, 1, 0, 0, 1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 3, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 2, 1, 0 ], [ 0, 0, 0, 1, 1, -1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 2, 5, 3, 0 ], [ 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -\
1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0 ], [ 2, 0, -2, -1, 1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, -2\
, -1 ], [ 0, 1, 1, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -2, -2, 1, 0, 0, -2, 1 ], [ 0, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 1, -1, 1, 0 ], [ 0, 1, 0, 1, -2, 0, 0, 2, -3, 0, 0, 0, -1, -1, 0, 0, -2, -2, 0, 1, 1, -2, -1, 2, 2, 0 ], [ 2, 0, 0, -2, 2, -2, 2, -2, 2, 0, 0, \
0, 1, 2, 0, 0, 3, 1, 0, 0, 0, 3, 2, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, -1, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, 0 ], [ -2, 0, 0, 2, 0,\
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], r := [ 6, 3, 7, 12, 11, 9, 8, 7, 4, 2 ], rlifts := [ [ 0, 0, 0, 1, -1, 1, 0, -2, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 0, 1 ] ], rootsQ \
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8, -16, -13, -8, -4 ], [ 6, 3, 7, 12, 11, 9, 8, 7, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 2, 4, 3, -5, 5, 0, -14, 14, 0, 0, 0, -5\
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-1, 0, 6, -7, 0, 0, 0, 2, 2, 0, 0, -1, 0, 1, 5, 6, -1, -3, 4, 2, -3 ], [ 0, -1, -2, 0, 1, -1, 0, 4, -5, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 4, 3, -1, -2, 3, 1,\
 -2 ], [ 0, 1, 2, 0, -1, 1, 0, -4, 5, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, -3, -3, 2, 2, -3, -2, 2 ], [ 0, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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 -176, -96, -96, -182, -104, 18, 28, -2, 0, -2, 2, -6, 8, 14, 14, 0, -4 ], [ -96, -58, -55, -105, -60, 10, 17, -1, 0, -1, 1, -2, 4, 6, 7, -2, 0 ], [ -96, \
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 -56, -110, -82, 10, 18, 1, 4, 5, 7, -4, 6, 10, 6, 0, -2 ], [ 18, 10, 11, 19, 10, -4, -3, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0 ], [ 28, 17, 17, 32, 18, -3, -8, \
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], [ -2, -1, -1, -2, 5, 0, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 1, 2, 7, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0 ], [ -6, -2, -2, -4, -4, 0, 0, 0,\
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, -2, 0, 2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 6, -4, 8, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, \
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], [ 0, -2, 0, 0, 0, 4, -2, 6, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 0, 3, 0, 0, -1, 0, 1, 0, 0, 2, 1, -2, 1 ], [ -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 2, -1, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, 2, 10, 2, -2, -12, 24, -36, 38, -2, 1, 1\
, -10, 3, 2, 1, 22, 10, 1, -27, -26, 8, 25, -12, 0, 13 ], embQ := [ [ 1, 0, 0, 0, 1, -2, 4, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 6, 4, 3, 0 ], [ \
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, 2, 1, 0 ], [ 0, 0, 0, 1, 1, -3, 4, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 3, 6, 5, 3, 0 ], [ 0, 0, 0, 0, 2, -3, 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 1, 0, -1, 2, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0 ], [ 2, 0, -2, -1, 1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, -2, -1 ], [ -1, 1, 1, 0, \
0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -2, -1, -1, -1, -1, 1 ], [ 0, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 1,\
 0 ], [ 1, 1, 0, 0, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, -2, 0, 1, 1, 0, 0, 3, 1, 0 ], [ -1, 0, 0, 1, 2, -5, 4, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0\
, -1, -1, -3, 1, -1, 3, 0 ], [ 1, 0, 0, -1, 0, 3, -4, 0, 2, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 2, -1, -1, -3, 0 ], [ -3, 0, 0, 3, 0, -3, 4, -2, -2, 0, \
0, 0, -2, 0, 0, 0, 1, 0, 0, -2, -2, -6, 1, 1, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, -1, 0 ] ], r := [ 8, 4, 10\
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 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D4", "D5" ], theg := [ [ 5, 3, 6, 9, 8, 7, 5, 4, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -46, -58, -59, -53, -56, 11, 14, 0, 0, 0, 0, -1, 2, 3, 9, 0,\
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:= [ 10, 2, 2, 2, -2, -4, 8, -28, 38, -2, 1, 1, -6, -1, 2, 1, 14, 10, 1, -27, -26, 0, 17, -12, -8, 9 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, -1, 4, 1, -2, -4, 0, 0, 5, 0, 0, 0, 2, 2, 0, 0, 2, 3, 0, -4, \
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 -1, 0 ], [ 0, 0, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1, -1, 1, 1, -3, -1, 0 ], [ 3, 0, 2, 0, -1, -2, 0, 0, 4, 0, 0, 0, 1, 1, 0, 0, 1\
, 2, 0, -3, -3, 2, 1, -6, -2, 0 ], [ -2, -1, 2, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -14, -25, -21, -12, -36, 0, 2, 0, 1, 1, 2, -2, 2, 4, -2, 0, -2 ], [ -25, -72, -61\
, -32, -99, 2, 9, 2, 5, 7, 8, -2, 4, 6, -3, -2, 0 ], [ -21, -61, -54, -26, -87, 3, 9, 2, 5, 7, 8, -2, 4, 6, -1, 0, 0 ], [ -12, -32, -26, -18, -40, 1, 6, 0\
, 1, 1, 2, 0, 2, 2, -2, -2, 2 ], [ -36, -99, -87, -40, -146, 2, 10, 4, 9, 13, 14, -4, 6, 10, -4, 0, -2 ], [ 0, 2, 3, 1, 2, -4, -3, 0, 0, 0, 0, 0, 0, 0, -3\
, -2, 0 ], [ 2, 9, 9, 6, 10, -3, -8, 0, 0, 0, 0, 0, -2, -2, -2, 0, -2 ], [ 0, 2, 2, 0, 4, 0, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 5, 5, 1, 9, 0, 0, \
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 [ -2, -2, -2, 0, -4, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 0, -2 ], [ 2, 4, 4, 2, 6, 0, -2, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0 ], [ 4, 6, 6, 2, 10, 0, -2, 0, 0, 0, \
0, 2, -2, -4, 0, 0, 2 ], [ -2, -3, -1, -2, -4, -3, -2, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0 ], [ 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 0 ], [ -2,\
 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 0, 2, 8, -4, -2, 2, 0 ], [ -8, -20, 2, 0, 16, -8, -4, 4, 0 ], [ 0, 2, -4\
, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 8, 16, 0, 2, -20, 10, 4, -4, 0 ], [ -4, -8, 0, 0, 10, -8, 0, 2, 0 ], [ -2, -4, 0, 0, 4, 0, -4, 2, \
0 ], [ 2, 4, 0, 0, -4, 2, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
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-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0 ], [ \
0, 0, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0\
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10, -18, -4, 16, -20, 22, -2, 1, 1, -14, -5, 2, 1, 6, 2, 1, -19, -18, 0, 17, -4, 8, 13 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-70, 11, 12, -2, 1, 4, 3, 10, 1, 2, -2, -4 ], [ -52, -356, -232, -130, -500, 80, 96, -8, 16, 28, 24, 76, 4, 8, -8, -28 ], [ -36, -232, -154, -88, -322, 51\
, 60, -6, 9, 18, 15, 48, 3, 6, -6, -18 ], [ -22, -130, -88, -52, -178, 28, 32, -4, 4, 10, 8, 26, 2, 4, -4, -10 ], [ -70, -500, -322, -178, -710, 115, 140,\
 -10, 25, 40, 35, 110, 5, 10, -10, -40 ], [ 11, 80, 51, 28, 115, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 12, 96, 60, 32, 140, -25, -36, -2, -6, -8\
, -10, -26, -2, -2, 0, 6 ], [ -2, -8, -6, -4, -10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 1, 16, 9, 4, 25, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 4\
, 28, 18, 10, 40, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 3, 24, 15, 8, 35, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 10, 76, 48, 26, 110, -20, -\
26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2\
, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -4, -28, -18, -10, -40, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], NK := "not correspond\
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0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 1/2, -1/2, 0, 0, -1 ] ], embR := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0 ], [ 0,\
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, 3, 2, 0 ], [ -6, -4, -8, -12, -10, -7, -5, -3, -2, 0 ], [ 6, 4, 8, 12, 10, 7, 5, 3, 3, 1 ] ] ], interiorpt := [ 16, 10, 21, 33, 30, 23, 16, 11, 8, 3 ], \
isomto := [ "40B", [ 2, 3, 23, 1, 18, 13, 17, 6, 11, 9, 4, 31, 12, 22, 24, 20, 5, 32, 27, 8, 16, 10, 35, 26, 14, 33, 40, 21, 7, 38, 25, 15, 34, 30, 29, 19\
, 28, 36, 39, 37 ] ], m4R := 2080, name := "40C", ogR := 8918138880, orderOL10D := 1152, projR := [ [ -3/2, -1, 0, 0, 1, -6, 0, 5/2, 5/2, 5/2, 0, 4, -5/2,\
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2, 0, 3, -3/2, 1/2, 0, -7/2 ], [ 0, 0, 0, -3/2, 1/2, -3, 0, 3/2, 3/2, 3/2, 0, 5/2, -3/2, 0, 0, -2 ], [ 0, 1, 0, -2, 0, -3, 1/2, 3/2, 3/2, 3/2, 1/2, 2, -1,\
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0, 1/2, 0, 1, 0, -1/2, -1/2, 1/2, 0, -1/2, 1/2, 0, 0, 1/2 ], [ 1/2, 1/2, 0, -3/2, 0, -1, 0, 1/2, 1/2, 1/2, 1, 1/2, -1/2, 0, 0, -1/2 ], [ 0, 1/2, 0, -1, 0,\
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], [ 1/2, 0, 0, -1/2, 0, -1, 0, 1/2, 1/2, 1/2, 0, 1/2, -1/2, 0, 0, 1/2 ], [ -1/2, 1/2, -1/2, 1/2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1, 1/2, -1/2,\
 -1, 0, -1, 0, 1/2, 1/2, 1/2, 0, 1/2, -1/2, 0, 0, -1/2 ], [ 0, 0, 1/2, -1, 0, -1, 0, 1/2, 1/2, 1/2, 0, 1/2, -1/2, 0, 0, -1/2 ], [ -1/2, 1/2, 1/2, 0, -1/2,\
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3, 39/2, 15, 12, 9, 6, 3 ], [ 8, 5, 11, 33/2, 29/2, 23/2, 9, 13/2, 4, 2 ], [ 31/2, 19/2, 20, 61/2, 26, 20, 16, 12, 8, 4 ], [ 24, 15, 32, 49, 42, 33, 26, 1\
9, 12, 6 ], [ 20, 25/2, 53/2, 40, 34, 53/2, 21, 31/2, 10, 5 ], [ 16, 10, 21, 63/2, 53/2, 20, 16, 12, 8, 4 ], [ 13, 17/2, 18, 27, 47/2, 37/2, 14, 10, 6, 3 \
], [ 8, 5, 21/2, 31/2, 13, 19/2, 15/2, 11/2, 4, 2 ], [ 5, 7/2, 15/2, 11, 10, 8, 6, 4, 2, 1 ], [ 7/2, 3, 6, 8, 15/2, 6, 9/2, 3, 3/2, 1/2 ], [ 1/2, 1, 2, 5/\
2, 3, 3, 2, 1, 0, 0 ], [ -1/2, -1/2, -1, -3/2, -3/2, -3/2, -1, -1/2, 0, 0 ], [ -1/2, -1/2, -1, -3/2, -3/2, -3/2, -1, -1/2, 0, 0 ], [ 0, 1/2, 1, 1, 3/2, 3/\
2, 1, 1/2, 0, 0 ], [ -1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 5/2, 2, 4, 11/2, 5, 4, 3, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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-3/2, -3/2, -1, -1/2, 0, 0 ], [ 1/2, 1/2, 1, 1, 3/2, 3/2, 1, 1/2, 0, 0 ], [ 0, 1/2, 1, 3/2, 3/2, 3/2, 1, 1/2, 0, 0 ], [ -1/2, -1/2, -1/2, -3/2, -3/2, -3/2\
, -1, -1/2, 0, 0 ], [ -1/2, -1/2, -1, -3/2, -3/2, -3/2, -1, -1/2, 0, 0 ] ], rootsR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0,\
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, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0,\
 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0,\
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rootstypeR := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], volindex := 2520, wallrecs := [ rec( GramQ := [ [ -18, -95, -63, -41, -125, 17, 14, -8, 3, 6, \
-1, 10, 1, 2, -2, -6, -6 ], [ -95, -542, -351, -225, -722, 98, 83, -45, 22, 34, -7, 57, 4, 8, -8, -34, -37 ], [ -63, -351, -230, -148, -465, 63, 53, -29, \
13, 22, -4, 37, 3, 6, -6, -22, -23 ], [ -41, -225, -148, -96, -297, 40, 33, -19, 8, 14, -3, 23, 2, 4, -4, -14, -15 ], [ -125, -722, -465, -297, -968, 133,\
 115, -59, 31, 46, -8, 79, 5, 10, -10, -46, -49 ], [ 17, 98, 63, 40, 133, -20, -19, 7, -4, -7, -1, -14, -1, -2, 2, 6, 6 ], [ 14, 83, 53, 33, 115, -19, -24\
, 2, -4, -6, -4, -16, -2, -2, 0, 4, 4 ], [ -8, -45, -29, -19, -59, 7, 2, -8, 2, 3, -3, 2, -1, 0, -2, -4, -4 ], [ 3, 22, 13, 8, 31, -4, -4, 2, -4, 0, 2, 0,\
 1, 2, -2, 2, 2 ], [ 6, 34, 22, 14, 46, -7, -6, 3, 0, -4, -1, -6, -1, -2, 2, 2, 2 ], [ -1, -7, -4, -3, -8, -1, -4, -3, 2, -1, -6, -6, -1, -2, 2, -2, -2 ],\
 [ 10, 57, 37, 23, 79, -14, -16, 2, 0, -6, -6, -16, -2, -4, 4, 2, 2 ], [ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0, 0 ], [ 2, 8, 6, 4, 10, -2\
, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0, 0 ], [ -6, -34, -22, -14, -46, 6, 4, -4, 2, 2, -2, 2\
, 0, 0, 0, -4, -2 ], [ -6, -37, -23, -15, -49, 6, 4, -4, 2, 2, -2, 2, 0, 0, 0, -2, -4 ] ], GramQperp := [ [ -12, 0, 4, 4, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, \
0, 0, 0, 0, 0 ], [ 4, 2, -4, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 0, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0\
, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0,\
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1, 0, -1, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ], [ -2, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 1, 2, 3, 1, -4, -5, 4, 4, 9, -2,\
 -3, -2, -4, -2, -6, 3, 1, -1, -2, -20, 10, 12, 10, 8, 11, 7 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 1\
 ], [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -1, -4, 0, -2, 10 ], [ 0, 0, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, \
0, -1, -3, 0, -1, 6 ], [ 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 4 ], [ 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, \
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, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -4, -1, -3, -2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [\
 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, 2, -2, -1,\
 0, -1, -1, 0 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2\
, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := \
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ 0, 0,\
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1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, \
0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0,\
 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0\
, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -\
1, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1 ], [ 0, 0, 0,\
 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ \
"A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0,\
 -3, 0, -3, 0, 3, 0, 0, -12, 6, 6, 6, 6, 6, 3 ], [ -2, 1, 0, 1, 0, 0, 0, 0, 4, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, -8, 4, 4, 4, 3, 4, 3 ], [ 2, 0, 1, -1, 0, \
0, 0, 0, 8, 0, -4, 0, -4, 0, -4, 0, 4, 0, 0, -16, 8, 8, 8, 9, 8, 3 ], [ -1, 0, 1, 0, 1, 0, 0, 0, 12, 0, -6, 0, -6, 0, -6, 0, 6, 0, 0, -24, 12, 11, 12, 11,\
 11, 6 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 10, 0, -5, 0, -5, 0, -5, 0, 5, 0, 0, -20, 10, 10, 10, 10, 10, 5 ], [ 2, 0, 0, -1, 0, 1, 0, 0, 7, 0, -3, 1, -3, 0, -4, \
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2, 2, 2, 1, 2, 2 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ] ), rec( GramQ := [ [ -10, -50, -34, -22, -66, 9, 12, -2, 1, 4, 3, 10, 1, 2, -2, -4, 2 ],\
 [ -50, -320, -204, -124, -437, 58, 88, -8, 14, 26, 22, 70, 4, 8, -8, -26, 16 ], [ -34, -204, -134, -82, -275, 37, 52, -6, 7, 16, 13, 42, 3, 6, -6, -16, 8\
 ], [ -22, -124, -82, -52, -166, 22, 32, -4, 4, 10, 8, 26, 2, 4, -4, -10, 6 ], [ -66, -437, -275, -166, -602, 80, 124, -10, 21, 36, 31, 98, 5, 10, -10, -3\
6, 23 ], [ 9, 58, 37, 22, 80, -12, -17, 1, -2, -5, -5, -14, -1, -2, 2, 4, -2 ], [ 12, 88, 52, 32, 124, -17, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6, -8 ],\
 [ -2, -8, -6, -4, -10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2, 0 ], [ 1, 14, 7, 4, 21, -2, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2, -2 ], [ 4, 26, 16, 10, 36, -5\
, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2, -2 ], [ 3, 22, 13, 8, 31, -5, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0, -2 ], [ 10, 70, 42, 26, 98, -14, -26, 0, -2, -8\
, -10, -24, -2, -4, 4, 4, -6 ], [ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0, 0\
 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0, 0 ], [ -4, -26, -16, -10, -36, 4, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4, 2 ], [ 2, 16, 8, 6, 23, -\
2, -8, 0, -2, -2, -2, -6, 0, 0, 0, 2, -4 ] ], GramQperp := [ [ -4, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, -12, 4, 0, 0, 0, 0, 0, 0 ], [ 2, 4, -4, 2, 0, 0, 0, 0, 0\
 ], [ 0, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2,\
 -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0\
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, -1, -1, 0, -1, 1, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0\
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0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, 1, 3, 2, -6, -4, 4, 4, 9, -2, -4, -3, -5, -2, -7, 3, 2, -1, -2, -22, 12,\
 15, 13, 12, 13, 8 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0 ], [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0\
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rlifts := [ [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 2, 2, 1, 1 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1,\
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1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 2, 0, 0, -2, 2, 0, 0, 6, 0, -5, -2, -5, 0, -5, 0, 5, 0, 0, -\
16, 10, 10, 10, 10, 8, 5 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 4, 0, -3, -1, -3, 0, -3, 0, 3, 0, 0, -10, 6, 6, 7, 7, 5, 3 ], [ 0, 2, 1, 0, -2, 2, 0, 0, 8, 0, -6, \
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3, 0, -2, 0, -2, 0, -3, 0, 2, -1, 0, -8, 5, 5, 5, 5, 4, 2 ], [ 0, 1, 0, 0, -1, 1, 0, 0, 2, 0, -1, 0, -1, 0, -2, 0, 1, 0, 0, -4, 3, 3, 3, 3, 2, 1 ], [ 0, 0\
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 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, -1, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -784, -259, -485, -676, -899, -853, -113, -134, 14, -33, -36, -23, -94, -1, -2, \
2, 48 ], [ -259, -88, -163, -225, -295, -280, -38, -46, 4, -12, -12, -8, -32, 0, 0, 0, 16 ], [ -485, -163, -304, -421, -554, -525, -70, -84, 8, -22, -22, \
-14, -58, 0, 0, 0, 30 ], [ -676, -225, -421, -586, -775, -733, -96, -114, 12, -30, -30, -18, -78, 0, 0, 0, 42 ], [ -899, -295, -554, -775, -1038, -981, -1\
27, -148, 18, -37, -40, -23, -102, -1, -2, 2, 56 ], [ -853, -280, -525, -733, -981, -932, -124, -146, 16, -34, -40, -26, -104, -2, -4, 4, 52 ], [ -113, -3\
8, -70, -96, -127, -124, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -134, -46, -84, -114, -148, -146, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ],\
 [ 14, 4, 8, 12, 18, 16, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -33, -12, -22, -30, -37, -34, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -36, -12, -22,\
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, -102, -104, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ -1, 0, 0, 0, -1, -2, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ -2, 0, 0, 0, -2, -4, -2, \
-2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ 2, 0, 0, 0, 2, 4, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 48, 16, 30, 42, 56, 52, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -\
4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0,\
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-4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
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0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0,\
 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 2, 2, 2, 2, -7, -3, 4, 4, 11, -2, -3, -2, -4, -2, -8, 3, 1, -1, -2, -20, 9, 13, 10, 9, 12, 6 ], embQ := [ [ 1, 0\
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 2, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 3, 3, 3, 4, -7 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
12, 0, 5, 5, 4, 6, -9 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 6, 8, 7, 7, -11 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0\
, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2,\
 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 1, 0, 1, 1, -3, 0, 0, 2, -2, 0, 1, 1, 1, -1, 1, 1, -2, -1, \
0, 0, 1, -1, 2, 1, -1, 2 ], [ -2, 0, 0, 0, 2, -2, 2, -2, 2, 0, -1, -1, -1, 1, -1, -1, 2, 1, -1, 0, -2, 2, -2, -2, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 3, 2, 4, 6, 5, 3, 2, 1, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, -1, 1, 0, 0\
, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 ] ], rootsQ \
:= [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0\
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0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0,\
 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0\
, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -3, -2, -4, -6, -4, -3, \
-2, -1, 0, 0 ], [ 3, 2, 4, 6, 5, 4, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 3, 2, 4, 6, 5, 3, 2, 1, 1, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, -3, 3, 0, 0, 9, 0, -3, 0, -3, 0, -6, 0, 3, 0, 0, -12, 4, 6, 6, 6, 6, 1 ], [ 0, 1, 0, 0, -2,\
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2 ], [ 0, 0, 0, 1, -6, 6, 0, 0, 18, 0, -6, 0, -6, 0, -12, 0, 6, 0, 0, -24, 9, 12, 12, 12, 12, 3 ], [ 0, 0, 0, 0, -4, 5, 0, 0, 15, 0, -5, 0, -5, 0, -10, 0,\
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 7, 0, -2, 1, -2, 0, -5, 0, 2, 0, -1, -10, 3, 5, 5, 5, 5, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 4, 0, -1, 1, -1, 0, -3, 0, 1, -1, 0, -6, 2, 3, 3, 3, 3, 0 ], [ 0\
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2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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1, 1, -1, 1, 0, -1, 0, 0, 2, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, 0, 4, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 2, 0, -1, 0, -1, -2, 0, 1, -1, 0, 0, -4, 4, 2, 3, 3, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, -3, 1, 2, 2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ -288, -79, -230, -335, -469, -249, 53, 58, -8, -3, 26, 23, 61, 13, 24, -16, -18 ], [ -79, -28, -62, -90, -113, -68, 9, 6, -4, -4, 6, 4, 11, 4, 8, -6, -\
4 ], [ -230, -62, -192, -276, -390, -194, 49, 56, -6, 0, 22, 20, 54, 10, 18, -12, -16 ], [ -335, -90, -276, -400, -565, -284, 70, 78, -10, 0, 32, 28, 77, \
14, 26, -18, -24 ], [ -469, -113, -390, -565, -830, -399, 111, 132, -10, 7, 48, 45, 122, 19, 34, -22, -36 ], [ -249, -68, -194, -284, -399, -220, 42, 46, \
-6, -4, 22, 20, 51, 12, 22, -14, -14 ], [ 53, 9, 49, 70, 111, 42, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 58, 6, 56, 78, 132, 46, -25, -36, -2, -6\
, -8, -10, -26, -2, -2, 0, 6 ], [ -8, -4, -6, -10, -10, -6, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -3, -4, 0, 0, 7, -4, -4, -6, 0, -4, 0, 0, -2, 1, 2,\
 -2, 2 ], [ 26, 6, 22, 32, 48, 22, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 23, 4, 20, 28, 45, 20, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 61, 1\
1, 54, 77, 122, 51, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 13, 4, 10, 14, 19, 12, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 24, 8, 18, 26, 34\
, 22, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -16, -6, -12, -18, -22, -14, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -18, -4, -16, -24, -36, -14, 6, 6, \
-2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2,\
 -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -8, 6, 0, 8, -6 ], [ 0, 0, 0, 0, 6, -8, 2, -8, 6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 8, -8, 2, -20, 14 ],\
 [ 0, 0, 0, 0, -6, 6, 0, 14, -12 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, \
-1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 \
] ], adjweyl := [ 6, 2, 2, 2, -9, -5, 4, 12, 9, -2, -5, -4, -6, -4, -10, 5, 1, -5, -2, -32, 20, 17, 20, 19, 16, 11 ], embQ := [ [ 1, 0, 0, 0, 0, 1, 0, -6,\
 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -1, -2, -3, 0, 3 ], [ 0, 1, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0 ], [ 0, 0,\
 1, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 6, 0, -1, -2, -2, 0, 3 ], [ 0, 0, 0, 1, 0, 0, 0, -6, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 8, 0, -1, -3,\
 -4, 0, 5 ], [ 0, 0, 0, 0, 1, 1, 0, -8, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 10, 0, -2, -2, -3, -1, 9 ], [ 0, 0, 0, 0, 0, 2, 0, -6, 0, 1, 0, 0, 0, 0, 0, -2, \
0, 0, 0, 4, 0, -1, -1, -2, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, \
0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0\
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 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1,\
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1, 0, 2, 0, 6, -5, -2, -5, -5, -2, -1 ] ] ), rec( GramQ := [ [ -118, -556, -396, -250, -730, -91, 46, 58, -2, 9, 17, 16, 46, 5, 7, -3, -16 ], [ -556, -266\
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, 3, 3, 0, 1 ] ], r := [ 6, 4, 8, 12, 10, 8, 5, 3, 2, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, -1, -1, -1, -1, -1, 1, 1, -1, -1, -4, 3, 2, 2, 2, \
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0, 0, 0, 0, 0 ], [ -3, -2, -4, -6, -5, -3, -2, -2, -2, -1 ], [ 6, 4, 8, 12, 10, 8, 5, 4, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -3, -2, -4, -6, -5, -\
4, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, 0, 0, 0, 0, -10, 12, 0, 8, 0, -7, -4, -7, 0, -7, 0, 7, 0, -6, -26, 10, 20, 10\
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 0, -1, 0, 1, 1, 1, 0, 1, 0, -1, 0, 1, 3, -1, -3, -1, -1, -2, -1 ], [ -2, 0, 0, 0, 0, 3, -2, 0, -3, 0, 2, 2, 2, 0, 2, 0, -2, 0, 1, 5, -2, -5, -2, -2, -5, \
-1 ] ] ), rec( GramQ := [ [ -10, -52, -36, -22, -70, 11, 17, -2, 1, 4, 3, 10, 5, 1, 2, -2, -4 ], [ -52, -356, -232, -130, -500, 80, 128, -8, 16, 28, 24, 7\
6, 32, 4, 8, -8, -28 ], [ -36, -232, -154, -88, -322, 51, 81, -6, 9, 18, 15, 48, 21, 3, 6, -6, -18 ], [ -22, -130, -88, -52, -178, 28, 44, -4, 4, 10, 8, 2\
6, 12, 2, 4, -4, -10 ], [ -70, -500, -322, -178, -710, 115, 185, -10, 25, 40, 35, 110, 45, 5, 10, -10, -40 ], [ 11, 80, 51, 28, 115, -20, -32, 1, -4, -7, \
-7, -20, -7, -1, -2, 2, 6 ], [ 17, 128, 81, 44, 185, -32, -60, -1, -7, -11, -12, -32, -16, -4, -4, 0, 10 ], [ -2, -8, -6, -4, -10, 1, -1, -4, 0, 1, -1, 0,\
 1, -1, 0, -2, -2 ], [ 1, 16, 9, 4, 25, -4, -7, 0, -4, 0, 0, -2, -1, 1, 2, -2, 2 ], [ 4, 28, 18, 10, 40, -7, -11, 1, 0, -4, -3, -8, -3, -1, -2, 2, 2 ], [ \
3, 24, 15, 8, 35, -7, -12, -1, 0, -3, -6, -10, -2, -1, -2, 2, 0 ], [ 10, 76, 48, 26, 110, -20, -32, 0, -2, -8, -10, -24, -6, -2, -4, 4, 4 ], [ 5, 32, 21, \
12, 45, -7, -16, 1, -1, -3, -2, -6, -8, -2, -2, 0, 4 ], [ 1, 4, 3, 2, 5, -1, -4, -1, 1, -1, -1, -2, -2, -2, -2, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -4, 0, 2, -2\
, -2, -4, -2, -2, -4, 2, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 0, 2, -4, 0 ], [ -4, -28, -18, -10, -40, 6, 10, -2, 2, 2, 0, 4, 4, 0, 0, 0,\
 -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ \
0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -1\
2 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, -2, 1, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, \
-1, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, \
0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1 ] ], adjweyl := [ 2, 2, 2, 2, -5\
, -5, 4, 4, 9, -2, -3, -2, -4, 2, -8, -1, 5, -1, -2, -16, 4, 13, 8, 7, 12, 1 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0\
, 0, -1, -1, 0, 0 ], [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -1, -4, -3, -2, 7 ], [ 0, 0, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 6, 0, -1, -3, -2, -1, 4 ], [ 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, -2, 0, 2 ], [ 0, 0, 0, 0, 3, -5, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -2, -4, -3, -3, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ \
[ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2\
, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, 2, -2, -1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, 2, -3, 2, 0,\
 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0\
, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 2, 0, 0, 0, 0, -2, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, -2, 3, 0, 3\
, 3, 0, 1 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, -2, 1, 0, -1, 1, -2, -1, -1, -1, -1, -1\
 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 2, -1, 0, 1, 2 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, -2, 1, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1, 0, 0, 2 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, \
0, 1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -\
1, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1 ], \
[ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, \
0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, -\
1, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1,\
 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, -1 ]\
 ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, \
0, -3, 0, -3, 0, 3, 0, 0, -12, 6, 6, 6, 6, 6, 3 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, -8, 4, 4, 4, 4, 4, 2 ], [ 0, 0, 1, 0, 0, \
0, 0, 0, 8, 0, -4, 0, -4, 0, -4, 0, 4, 0, 0, -16, 8, 8, 8, 8, 8, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 12, 0, -6, 0, -6, 0, -6, 0, 6, 0, 0, -24, 12, 12, 12, 12, \
12, 6 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 10, 0, -5, 0, -5, 0, -5, 0, 5, 0, 0, -20, 10, 10, 10, 10, 10, 5 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 7, 0, -3, 1, -3, 0, -4, 0,\
 3, 0, 0, -14, 7, 7, 7, 7, 7, 3 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, -2, 1, -2, 0, -3, 0, 2, 0, -1, -10, 5, 5, 5, 5, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 3, 0,\
 -1, 1, -1, 0, -2, 0, 1, -1, 0, -6, 3, 3, 3, 3, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 2, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 2, 1, 1, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1\
, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 1, 0, 0, -1, 0, 0, 2, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0\
, 1, 0, -2, 0, 0, 4, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, 2, -2, -1, 1, 0, 0, -2, -1, 2, 1, 1, 2, -2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, -3, 2, 2, 2, 2,\
 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -10, -52, -36, -22, -70, -18, 11, 12, -2, 1, 4, 3, 10, 1, 2, -2, -4 ], [ -52, -356, -232, -13\
0, -500, -120, 80, 96, -8, 16, 28, 24, 76, 4, 8, -8, -28 ], [ -36, -232, -154, -88, -322, -78, 51, 60, -6, 9, 18, 15, 48, 3, 6, -6, -18 ], [ -22, -130, -8\
8, -52, -178, -44, 28, 32, -4, 4, 10, 8, 26, 2, 4, -4, -10 ], [ -70, -500, -322, -178, -710, -170, 115, 140, -10, 25, 40, 35, 110, 5, 10, -10, -40 ], [ -1\
8, -120, -78, -44, -170, -50, 29, 33, -4, 3, 12, 10, 30, 3, 7, -6, -10 ], [ 11, 80, 51, 28, 115, 29, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 12, 9\
6, 60, 32, 140, 33, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -2, -8, -6, -4, -10, -4, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 1, 16, 9, 4, 25,\
 3, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 4, 28, 18, 10, 40, 12, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 3, 24, 15, 8, 35, 10, -7, -10, -1, 0, -3,\
 -6, -10, -1, -2, 2, 0 ], [ 10, 76, 48, 26, 110, 30, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 1, 4, 3, 2, 5, 3, -1, -2, -1, 1, -1, -1, -2, -2, -2,\
 0, 0 ], [ 2, 8, 6, 4, 10, 7, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -2, -8, -6, -4, -10, -6, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -4, -28, -18, -\
10, -40, -10, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0\
, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -8, 8, -2 ], [ 0, 0, 0, 0, 0\
, 0, 8, -12, 4 ], [ 0, 0, 0, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, \
0, 0, 1, 0 ] ], adjweyl := [ 2, 2, 2, 2, -5, -5, 8, -4, 13, -2, -3, -2, -4, -2, -6, 3, 1, 3, -4, -20, 6, 17, 6, 5, 16, 7 ], embQ := [ [ 1, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0 ], [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -1, -4, -3, -2, 7 ], [ \
0, 0, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -1, -3, -2, -1, 4 ], [ 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, \
-2, -2, 0, 2 ], [ 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -2, -4, -3, -3, 11 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 1, -1, 1, 0, 1, -1, 1, 1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 2, -1, -1, 0, -1, -1, 0, 1, 1, 0, 0, -4, 4, 3, 3, 3, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -706\
, -249, -468, -649, -84, -727, -77, -95, 8, -36, -21, -14, -64, 14, 16, -1, 30 ], [ -249, -90, -168, -232, -33, -254, -26, -33, 2, -13, -7, -5, -22, 5, 6,\
 -1, 10 ], [ -468, -168, -316, -438, -66, -476, -46, -58, 4, -24, -12, -8, -38, 10, 12, -2, 18 ], [ -649, -232, -438, -610, -97, -658, -60, -75, 6, -33, -\
15, -9, -48, 15, 18, -3, 24 ], [ -84, -33, -66, -97, -42, -71, 9, 11, 0, -4, 5, 6, 12, 6, 8, -3, -2 ], [ -727, -254, -476, -658, -71, -758, -88, -107, 10,\
 -37, -25, -17, -74, 13, 14, 1, 34 ], [ -77, -26, -46, -60, 9, -88, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -95, -33, -58, -75, 11, -107, -25, -36\
, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 8, 2, 4, 6, 0, 10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -36, -13, -24, -33, -4, -37, -4, -6, 0, -4, 0, 0, \
-2, 1, 2, -2, 2 ], [ -21, -7, -12, -15, 5, -25, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -14, -5, -8, -9, 6, -17, -7, -10, -1, 0, -3, -6, -10, -1, -2, \
2, 0 ], [ -64, -22, -38, -48, 12, -74, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 14, 5, 10, 15, 6, 13, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [\
 16, 6, 12, 18, 8, 14, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -1, -1, -2, -3, -3, 1, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 30, 10, 18, 24, -2, 34, \
6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2,\
 0, 2, -8, 10, -4, -4, -4, 2 ], [ 0, 0, 0, 10, -20, 10, 8, 8, -4 ], [ 0, 0, 0, -4, 10, -12, 0, -12, 4 ], [ 0, 0, 0, -4, 8, 0, -8, 0, 2 ], [ 0, 0, 0, -4, 8\
, -12, 0, -20, 6 ], [ 0, 0, 0, 2, -4, 4, 2, 6, -4 ] ], Sigma := [ [ 1, 0, 1, 1, -3, -2, 2, 0, -1, -1, -1, -1, -2, 1, -1, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, \
0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 6, 2, 6, 6, -17, -9, 12, 8, 17, -2, -7, -6, -8, -6, -14, 7, 1, -3, -6, -44, 22, 29, 26, 21, 28, 19 ], embQ := [ [ 1,\
 0, 0, 0, 0, 4, -6, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 4, 0, -1, -3, -1, 3, -17 ], [ 0, 1, 0, 0, 0, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, \
0, -2, -1, 1, -6 ], [ 0, 0, 1, 0, 0, 2, -4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -1, -3, -1, 2, -11 ], [ 0, 0, 0, 1, 0, 3, -6, -3, 0, 0, 0, 0, 0, 0\
, 0, -3, 0, 0, 0, 6, 0, -1, -4, -2, 3, -15 ], [ 0, 0, 0, 0, 1, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, -1, -2, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 5,\
 -6, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 2, 0, -1, -2, 0, 3, -17 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, 0, -1, 1, -1, 2 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0,\
 1, 1, 1, 4, -2, -4, 3, 0, 0, 6, -8, -1, -2, -3, -1, -6 ], [ -1, 0, 0, 0, 2, -3, 4, -4, 2, 0, -1, -1, -1, -2, 1, 2, -1, 2, -2, -4, 2, 4, -1, -1, 4, 4 ], [\
 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -2, 1, 2, -2, -1, 2, -2, 5, -2, 3, 3, -2, 3 ], [ 0, 0, 0, 0, 0, 0, 4, -8, 4, 0, 0, 0, 0, -2, 1, 2, -2, 4, -2, -2,\
 -1, 4, -3, -3, 4, 3 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1 ] ], r := [ 12, 8, 16, 24, 22, 16, 11, 8, 6, 2\
 ], rlifts := [ [ 1, 0, 1, 1, -3, -1, 2, 1, 2, 0, -1, -1, -1, -1, -2, 1, 1, -1, -1, -6, 3, 4, 4, 3, 4, 3 ] ], rootsQ := [ [ -1, 0, -1, -1, 3, 2, -2, 0, 1,\
 1, 1, 1, 2, 0, 1, 1, -3 ], [ 1, 0, 1, 1, -3, -2, 2, 0, -1, -1, -1, -1, -2, 0, -1, -1, 3 ], [ -1, 0, -1, -1, 3, 2, -2, 0, 1, 1, 1, 1, 2, -1, 1, 1, -3 ], [\
 1, 0, 1, 1, -3, -2, 2, 0, -1, -1, -1, -1, -2, 1, -1, -1, 3 ], [ -1, 0, -1, -1, 3, 2, -2, 0, 1, 1, 1, 1, 2, 1, 0, 1, -3 ], [ 1, 0, 1, 1, -3, -2, 2, 0, -1,\
 -1, -1, -1, -2, -1, 0, -1, 3 ], [ -1, 0, -1, -1, 3, 2, -2, 0, 1, 1, 1, 1, 2, 0, 0, 1, -3 ], [ 1, 0, 1, 1, -3, -2, 2, 0, -1, -1, -1, -1, -2, 0, 0, -1, 3 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0\
, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := \
[ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
24, 16, 32, 49, 44, 32, 22, 16, 12, 4 ], [ -48, -32, -64, -96, -87, -64, -44, -32, -24, -8 ], [ 12, 8, 16, 24, 22, 17, 11, 8, 6, 2 ], [ 24, 16, 32, 48, 44\
, 32, 23, 16, 12, 4 ], [ 12, 8, 16, 24, 22, 16, 11, 9, 6, 2 ], [ -24, -16, -32, -48, -44, -32, -22, -16, -11, -4 ], [ 24, 16, 32, 48, 44, 32, 22, 16, 12, \
5 ] ], thegtilde := [ [ 21, 0, 20, 20, -60, -20, 40, 20, 46, 0, -23, -20, -23, -20, -43, 20, 3, -10, -20, -132, 66, 86, 86, 66, 86, 63 ], [ 14, 1, 14, 14,\
 -42, -14, 28, 14, 32, 0, -16, -14, -16, -14, -30, 14, 2, -7, -14, -92, 46, 60, 60, 46, 60, 44 ], [ 26, 0, 27, 26, -78, -26, 52, 26, 60, 0, -30, -26, -30,\
 -26, -56, 26, 4, -13, -26, -172, 86, 112, 112, 86, 112, 82 ], [ 44, 0, 44, 45, -132, -44, 88, 44, 100, 0, -50, -44, -50, -44, -94, 44, 6, -22, -44, -288,\
 144, 188, 188, 144, 188, 138 ], [ 36, 0, 36, 36, -107, -36, 72, 36, 82, 0, -41, -36, -41, -36, -77, 36, 5, -18, -36, -236, 118, 154, 154, 118, 154, 113 ]\
, [ 26, 0, 26, 26, -78, -25, 52, 26, 59, 0, -29, -25, -29, -26, -56, 26, 3, -12, -26, -170, 85, 111, 111, 85, 111, 81 ], [ 21, 0, 21, 21, -63, -21, 43, 21\
, 47, 0, -23, -20, -23, -21, -45, 21, 2, -10, -22, -136, 68, 89, 89, 68, 89, 65 ], [ 10, 0, 10, 10, -30, -10, 20, 11, 23, 0, -11, -9, -11, -10, -22, 10, 1\
, -4, -10, -66, 33, 43, 43, 33, 43, 31 ], [ 8, 0, 8, 8, -24, -8, 16, 8, 18, 0, -8, -7, -8, -8, -17, 8, 0, -3, -8, -50, 25, 33, 33, 25, 33, 24 ], [ 4, 0, 4\
, 4, -12, -4, 8, 4, 10, -1, -4, -3, -4, -5, -8, 5, -1, -1, -4, -26, 14, 18, 18, 14, 18, 12 ], [ 2, 0, 2, 2, -6, -2, 4, 2, 4, 0, -2, -2, -1, -2, -4, 2, -1,\
 -1, -2, -12, 7, 8, 9, 7, 8, 6 ], [ -2, 0, -2, -2, 6, 2, -4, -2, -5, 0, 2, 2, 2, 2, 5, -2, 0, 0, 2, 14, -7, -9, -9, -7, -9, -6 ], [ -2, 0, -2, -2, 6, 2, -\
4, -2, -4, 0, 3, 2, 2, 2, 4, -2, -1, 2, 2, 12, -7, -8, -9, -7, -8, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 1, 0, -1, 1, 0, 2, 0, -1, 0, 0, -1,\
 0 ], [ -2, 0, -2, -2, 6, 2, -4, -2, -6, 0, 4, 4, 4, 2, 5, -2, -2, 3, 2, 16, -8, -10, -10, -8, -10, -8 ], [ 2, 0, 2, 2, -6, -2, 4, 2, 6, 0, -3, -2, -3, -4\
, -4, 3, -1, 0, -2, -16, 9, 10, 11, 9, 10, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, \
4, -12, -4, 8, 4, 10, 0, -5, -4, -5, -4, -9, 4, 1, -2, -4, -27, 14, 18, 18, 14, 18, 13 ], [ 2, 0, 2, 2, -6, -2, 4, 2, 4, 0, -2, -2, -2, -2, -4, 2, 0, -1, \
-2, -12, 7, 8, 8, 6, 8, 6 ], [ -2, 0, -2, -2, 6, 2, -4, -2, -4, 0, 2, 2, 2, 2, 4, -2, 0, 1, 2, 12, -6, -7, -8, -6, -8, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 2, 0, 2, 2, -6, -2, 4, 2, 4, 0, -2, -2, -2, -2, -4, 2, 0, -1, -2, -12, 6, 8, 8, 7, 8, 6 ], [ -2, 0,\
 -2, -2, 6, 2, -4, -2, -4, 0, 2, 2, 2, 2, 4, -2, 0, 1, 2, 12, -6, -8, -8, -6, -7, -6 ], [ -2, 0, -2, -2, 6, 2, -4, -2, -4, 0, 2, 2, 2, 2, 4, -2, 0, 1, 2, \
12, -6, -8, -8, -6, -8, -5 ] ] ), rec( GramQ := [ [ -36, -98, -90, -48, -130, -24, 8, 8, -1, -4, 5, 5, 11, 5, 8, -4, -2 ], [ -98, -616, -472, -196, -814, \
-30, 99, 124, -4, 12, 38, 38, 104, 14, 22, -12, -30 ], [ -90, -472, -374, -162, -624, -38, 70, 88, -2, 5, 28, 29, 76, 13, 20, -10, -20 ], [ -48, -196, -16\
2, -78, -258, -24, 25, 28, -3, -1, 11, 10, 27, 6, 10, -6, -8 ], [ -130, -814, -624, -258, -1080, -42, 131, 164, -5, 16, 51, 51, 139, 19, 30, -16, -40 ], [\
 -24, -30, -38, -24, -42, -22, -3, -4, 1, -5, 1, 2, 1, 4, 6, -2, 2 ], [ 8, 99, 70, 25, 131, -3, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 8, 124, 88\
, 28, 164, -4, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -1, -4, -2, -3, -5, 1, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -4, 12, 5, -1, 16, -5, \
-4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 5, 38, 28, 11, 51, 1, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 5, 38, 29, 10, 51, 2, -7, -10, -1, 0, -3, -6, \
-10, -1, -2, 2, 0 ], [ 11, 104, 76, 27, 139, 1, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 5, 14, 13, 6, 19, 4, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0\
, 0 ], [ 8, 22, 20, 10, 30, 6, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -4, -12, -10, -6, -16, -2, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -2, -30, -20\
, -8, -40, 2, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0\
, 0, 0 ], [ 2, 0, 2, -20, 26, 8, -16, -16, 4 ], [ 0, 0, 0, 26, -40, -10, 24, 24, -6 ], [ 0, 0, 0, 8, -10, -8, 10, 8, -2 ], [ 0, 0, 0, -16, 24, 10, -20, -1\
4, 4 ], [ 0, 0, 0, -16, 24, 8, -14, -20, 6 ], [ 0, 0, 0, 4, -6, -2, 4, 6, -4 ] ], Sigma := [ [ 0, 0, 1, 1, -1, -1, 1, 1, -1, -1, -1, 0, -3, 1, -1, -2, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 2, 2, -2, -4, 2, 2, 4, 0, -3, -2, -3, -2, -2, 1, 1, 0, 0, -12, 7, 8, 9, 7, 8, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0,\
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0, 0, 1 ] ] ), rec( GramQ := [ [ -460, -172, -320, -439, -527, -457, -41, -62, -4, -33, -6, -5, -28, 11, 22, -16, 18 ], [ -172, -66, -122, -167, -199, -16\
9, -14, -22, -2, -12, -2, -2, -10, 4, 8, -6, 6 ], [ -320, -122, -228, -314, -374, -312, -22, -36, -4, -22, -2, -2, -14, 8, 16, -12, 10 ], [ -439, -167, -3\
14, -436, -519, -424, -24, -42, -6, -30, 0, 0, -12, 12, 24, -18, 12 ], [ -527, -199, -374, -519, -622, -513, -31, -52, -6, -37, 0, 1, -14, 15, 30, -22, 16\
 ], [ -457, -169, -312, -424, -513, -464, -52, -74, -2, -34, -10, -8, -38, 10, 20, -14, 22 ], [ -41, -14, -22, -24, -31, -52, -20, -25, 1, -4, -7, -7, -20\
, -1, -2, 2, 6 ], [ -62, -22, -36, -42, -52, -74, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -4, -2, -4, -6, -6, -2, 1, -2, -4, 0, 1, -1, 0, -1, 0,\
 -2, -2 ], [ -33, -12, -22, -30, -37, -34, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -6, -2, -2, 0, 0, -10, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -5\
, -2, -2, 0, 1, -8, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -28, -10, -14, -12, -14, -38, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 11, 4, 8\
, 12, 15, 10, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 22, 8, 16, 24, 30, 20, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -16, -6, -12, -18, -22, -14,\
 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 18, 6, 10, 12, 16, 22, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0,\
 -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, -2, 12, -4, 0, -6, 2 ], [ 2, 0, -2, -8, 14, -4, 0, -6, 2 ], [ 0, 0, 12, 14, -40, 14, 0, 18, -6 ], [ 0, 0, -4, -4, \
14, -8, 2, -6, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, -6, -6, 18, -6, 2, -12, 4 ], [ 0, 0, 2, 2, -6, 2, 0, 4, -4 ] ], Sigma := [ [ 1, 0, 2, 0, -2, 0\
, 2, 0, -1, -1, -1, 0, -2, 1, -1, 0, 2 ], [ 0, 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, \
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0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjwe\
yl := [ 3, 3, 4, 3, -9, -6, 4, 8, 11, -2, -4, -3, -5, -2, -9, 3, 2, -3, -2, -26, 13, 16, 15, 13, 14, 9 ], embQ := [ [ 1, 0, 0, 0, 0, 1, 0, -6, 0, 0, 0, 0,\
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0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1,\
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 -6, -7, -1, -6 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -2, 0, -1, -1, -1, -1, 1, 1, 0, -1, -1, -4, 4, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 8, 5, 10, 16, 15, 11, 8, 5, 4, 2 ], rlifts := [ [ 1, 0, 2, 0, -2, -1, 0, 2, 2, 0,\
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0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [\
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, [ -8, -5, -10, -16, -15, -11, -8, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 9, 5, 16, 5, -26, -8, 0, 26, 22, 0, -11, -8, -11, 0\
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4, -18, -24, 0, -52, 0, 24, -28, 0, -116, 58, 58, 86, 76, 48, 34 ], [ 15, 9, 30, 9, -47, -15, 0, 48, 40, 0, -20, -15, -20, 0, -44, 0, 20, -24, 0, -98, 49,\
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6, 4, 1 ], [ -1, 0, -2, 0, 2, 1, 0, -2, -3, 0, 1, 1, 1, 0, 3, 0, -1, 1, 0, 6, -3, -3, -4, -4, -3, -1 ], [ -1, 0, -2, 0, 2, 1, 0, -2, -2, 0, 2, 1, 1, 0, 2,\
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6, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
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, 0, 3, -3, 0, -13, 7, 7, 10, 9, 6, 4 ], [ 1, 0, 2, 0, -2, -1, 0, 2, 2, 0, -1, -1, -1, 0, -2, 0, 1, -1, 0, -4, 3, 2, 3, 3, 2, 1 ], [ -1, 0, -2, 0, 2, 1, 0\
, -2, -2, 0, 1, 1, 1, 0, 2, 0, -1, 1, 0, 4, -2, -1, -3, -3, -2, -1 ], [ 1, -1, 2, -1, 0, -1, 0, 0, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 1, 1, 2, 2, 2,\
 0 ], [ 1, 0, 2, 0, -2, -1, 0, 2, 2, 0, -1, -1, -1, 0, -2, 0, 1, -1, 0, -4, 2, 2, 3, 4, 2, 1 ], [ -1, 1, -2, 1, 0, 1, 0, 0, -2, 0, 1, 1, 1, 0, 1, 0, -1, 0\
, 0, 2, -1, -1, -1, -2, -1, 0 ], [ -1, 0, -2, 0, 2, 1, 0, -2, -2, 0, 1, 1, 1, 0, 2, 0, -1, 1, 0, 4, -2, -2, -3, -3, -2, 0 ] ] ), rec( GramQ := [ [ -38, -1\
57, -118, -78, -196, -23, 11, 13, -1, 0, 4, 3, 9, 4, 4, 0, -5 ], [ -157, -748, -539, -340, -969, -85, 80, 100, -4, 12, 28, 24, 72, 16, 16, 0, -32 ], [ -11\
8, -539, -394, -252, -690, -67, 51, 63, -3, 6, 18, 15, 45, 12, 12, 0, -21 ], [ -78, -340, -252, -164, -430, -46, 28, 34, -2, 2, 10, 8, 24, 8, 8, 0, -12 ],\
 [ -196, -969, -690, -430, -1270, -101, 115, 145, -5, 20, 40, 35, 105, 20, 20, 0, -45 ], [ -23, -85, -67, -46, -101, -18, 0, 1, 1, -1, 0, 0, -1, 3, 2, 2, \
-1 ], [ 11, 80, 51, 28, 115, 0, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 13, 100, 63, 34, 145, 1, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [\
 -1, -4, -3, -2, -5, 1, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 0, 12, 6, 2, 20, -1, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 4, 28, 18, 10, 40, 0, -7\
, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 3, 24, 15, 8, 35, 0, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 9, 72, 45, 24, 105, -1, -20, -26, 0, -2, -8,\
 -10, -24, -2, -4, 4, 4 ], [ 4, 16, 12, 8, 20, 3, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 4, 16, 12, 8, 20, 2, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0\
 ], [ 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -5, -32, -21, -12, -45, -1, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0,\
 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, -2, 2, -2, -2, 2, -6 ], [ 2, 0, -2, -8, 4, -2, -2, 2, -6 ], [ 0, 0, 2, 4, -8, 0, 4, 0,\
 0 ], [ 0, 0, -2, -2, 0, -8, 4, 2, -6 ], [ 0, 0, -2, -2, 4, 4, -8, 2, 0 ], [ 0, 0, 2, 2, 0, 2, 2, -4, 4 ], [ 0, 0, -6, -6, 0, -6, 0, 4, -12 ] ], Sigma := \
[ [ 0, 1, 0, 1, -1, -2, 2, 0, -1, -1, -1, -1, -1, 0, 0, -1, 2 ], [ 0, 0, 2, 0, -1, -2, 2, 0, -1, -1, -1, -1, -1, 0, 0, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0,\
 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 2, 3, 4, 3, -7, -9, 8, 4, 13, -2, -5, -4, -6, -4, -8, 5, 1, -1, -4, -30, 15, 20, 14, 12, 18, 13 ], embQ := [ [ 1, 0, 0\
, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 5, 0, -1, -2, -1, 0, -2 ], [ 0, 1, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 20, 0, -5, -8,\
 -3, -2, -1 ], [ 0, 0, 1, 0, 1, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 15, 0, -4, -6, -2, -1, -2 ], [ 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -\
2, 0, 0, 0, 10, 0, -2, -4, -2, 0, -2 ], [ 0, 0, 0, 0, 3, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 25, 0, -7, -9, -3, -3, 1 ], [ 0, 0, 0, 0, 0, 1, -2, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 3, 0, -1, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1\
, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 1, -1, -1, 1, 0, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1,\
 -1, 0, -2, 3, 0, 3, 2, 2, 2 ], [ 2, 1, -1, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 0, 2, -1, 1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0\
, 1, 1, 1, 2, -1, -2, 1, 0, 0, 4, -5, -1, -1, -2, -1, -3 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -2, 0, -1, -1, -1, 1, 0, -1, 2, -1, -1, -2, 1, 2, 1, 1, 2, 0 ], [ 0\
, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -2, 1, 2, -2, -1, 2, -2, 5, -2, 3, 3, -2, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, \
2, -2, -2, 2, 0 ], [ 2, 0, 0, 0, 0, -2, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, -2, 3, 0, 3, 3, 0, 1 ] ], r := [ 8, 5, 10, 16, 15, 12, 8, 6, 4, 1 ], rlif\
ts := [ [ 0, 1, 0, 1, -1, -2, 2, 0, 2, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, -5, 2, 4, 2, 1, 3, 3 ], [ 0, 0, 2, 0, -1, -2, 2, 0, 2, 0, -1, -1, -1, -1, -1, 1\
, 0, 0, -1, -5, 3, 3, 2, 2, 3, 3 ] ], rootsQ := [ [ 0, -1, 0, -1, 1, 2, -2, 0, 1, 1, 1, 1, 1, 0, 0, 1, -2 ], [ 0, 1, 0, 1, -1, -2, 2, 0, -1, -1, -1, -1, -\
1, 0, 0, -1, 2 ], [ 0, 0, -2, 0, 1, 2, -2, 0, 1, 1, 1, 1, 1, 0, 0, 1, -3 ], [ 0, 0, 2, 0, -1, -2, 2, 0, -1, -1, -1, -1, -1, 0, 0, -1, 3 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0,\
 -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1,\
 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1\
", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 11, 16, 15, 12, 8, 6, 4, 1 \
], [ 8, 5, 10, 17, 15, 12, 8, 6, 4, 1 ], [ -16, -10, -20, -32, -29, -24, -16, -12, -8, -2 ], [ -8, -5, -10, -16, -15, -11, -8, -6, -4, -1 ], [ 16, 10, 20,\
 32, 30, 24, 17, 12, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8, -5, -10, -16, -15, -12, -8, -6, -3, -1 ], [ 16, 10, 20, 32, 30, 24, 16, 12, 8, 3 ] ],\
 thegtilde := [ [ 1, 8, 16, 8, -16, -32, 32, 0, 38, 0, -19, -16, -19, -16, -19, 16, 3, 0, -16, -92, 46, 62, 38, 30, 54, 51 ], [ 0, 6, 10, 5, -10, -20, 20,\
 0, 24, 0, -12, -10, -12, -10, -12, 10, 2, 0, -10, -58, 29, 39, 24, 19, 34, 32 ], [ 0, 11, 21, 11, -21, -42, 42, 0, 50, 0, -25, -21, -25, -21, -25, 21, 4,\
 0, -21, -121, 60, 82, 50, 39, 71, 67 ], [ 0, 16, 32, 17, -32, -64, 64, 0, 76, 0, -38, -32, -38, -32, -38, 32, 6, 0, -32, -184, 92, 124, 76, 60, 108, 102 \
], [ 0, 14, 28, 14, -27, -56, 56, 0, 66, 0, -33, -28, -33, -28, -33, 28, 5, 0, -28, -160, 80, 108, 66, 52, 94, 89 ], [ 0, 12, 22, 12, -23, -45, 46, 0, 53,\
 0, -26, -22, -26, -23, -27, 23, 3, 0, -23, -129, 64, 88, 53, 41, 76, 72 ], [ 0, 8, 14, 8, -15, -30, 31, 0, 35, 0, -17, -14, -17, -15, -18, 15, 2, 0, -16,\
 -85, 42, 58, 35, 27, 50, 47 ], [ 0, 6, 10, 6, -11, -22, 22, 1, 25, 0, -12, -10, -12, -11, -13, 11, 1, -1, -11, -61, 30, 42, 25, 19, 36, 34 ], [ 0, 3, 4, \
3, -5, -10, 10, 0, 12, 0, -5, -4, -5, -5, -6, 5, 0, 0, -5, -27, 13, 19, 11, 8, 16, 15 ], [ 0, 2, 2, 2, -3, -6, 6, 0, 8, -1, -3, -2, -3, -4, -3, 4, -1, 0, \
-3, -17, 9, 13, 8, 6, 11, 9 ], [ 0, 0, -2, 0, 1, 2, -2, 0, -2, 0, 1, 1, 2, 1, 1, -1, -1, 0, 1, 5, -2, -3, -1, -1, -3, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 ], [ 0, 0, -2\
, 0, 1, 2, -2, 0, -3, 0, 2, 2, 2, 0, 2, -1, -1, 0, 1, 7, -3, -4, -2, -2, -4, -3 ], [ 0, 0, -2, 0, 1, 2, -2, 0, -4, 0, 3, 3, 3, 1, 2, -1, -2, 0, 1, 9, -5, \
-5, -4, -4, -5, -5 ], [ 0, 0, 2, 0, -1, -2, 2, 0, 4, 0, -2, -1, -2, -3, -1, 2, -1, 0, -1, -9, 6, 5, 5, 5, 5, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 2, 2, -3, -6, 6, 0, 8, 0, -4, -3, -4, -3, -4, 3, 1, 0, -3, -18, 9, 13, 8, 6, 11, 10 ], [ 0,\
 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0 ], [ 0, -1, 0, -1, 1, 2, -2, 0, -2, 0, 1, 1, 1, 1, 1, -1, 0, 0, 1, 5, -2, -4, -1, -1, -3, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 1, -1, -2, 2, 0, 2, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, -5, 2, 4, 2, 1, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -1320, -858, -462, -1208, -578, -1378, -143, -178, 11, -46, -47, -39, -133, 5, 2, 6,\
 52 ], [ -858, -560, -302, -788, -380, -894, -91, -112, 8, -30, -30, -24, -84, 4, 2, 4, 34 ], [ -462, -302, -170, -430, -208, -476, -47, -62, 1, -17, -15,\
 -14, -45, 2, 2, 0, 16 ], [ -1208, -788, -430, -1114, -538, -1254, -126, -158, 9, -43, -41, -34, -117, 6, 4, 4, 46 ], [ -578, -380, -208, -538, -266, -596\
, -56, -68, 6, -21, -18, -13, -50, 5, 4, 2, 22 ], [ -1378, -894, -476, -1254, -596, -1446, -154, -190, 13, -47, -51, -42, -143, 4, 0, 8, 56 ], [ -143, -91\
, -47, -126, -56, -154, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -178, -112, -62, -158, -68, -190, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], \
[ 11, 8, 1, 9, 6, 13, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -46, -30, -17, -43, -21, -47, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -47, -30, -15, -4\
1, -18, -51, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -39, -24, -14, -34, -13, -42, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -133, -84, -45, -117\
, -50, -143, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 5, 4, 2, 6, 5, 4, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 2, 2, 2, 4, 4, 0, -2, -2, 0, \
2, -2, -2, -4, -2, -4, 2, 0 ], [ 6, 4, 0, 4, 2, 8, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 52, 34, 16, 46, 22, 56, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], \
GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -20, 2, 24, -8, -16, 0, 4 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0\
, 24, 2, -40, 14, 24, 0, -6 ], [ 0, 0, -8, 0, 14, -8, -6, 0, 2 ], [ 0, 0, -16, 0, 24, -6, -20, 2, 4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 4, 0, -6, 2\
, 4, 2, -4 ] ], Sigma := [ [ 1, 1, 1, 0, -2, -1, 1, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0\
, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ] ], adjweyl := [ 6, 6, \
6, 2, -13, -9, 12, 4, 17, -2, -5, -4, -6, -4, -12, 5, 1, -1, -6, -36, 14, 25, 14, 13, 20, 13 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -6, 0, 0, 1, 0, 0, 0, 0, 0, \
-2, 0, 0, 0, -1, 0, 1, -1, 0, 6, -23 ], [ 0, 1, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 4, -15 ], [ 0, 0, 1, 0, 0, 0, -2, 0, \
0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -2, -1, 2, -8 ], [ 0, 0, 0, 1, 0, 2, -6, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 1, -2, -1, 6, -21 ], [ 0, 0\
, 0, 0, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, -1, 0, 3, -11 ], [ 0, 0, 0, 0, 0, 4, -6, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, 1, 0,\
 1, 6, -23 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0,\
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18, -13, -9, -7, -4, -2 ], [ 10, 6, 12, 20, 18, 13, 9, 7, 5, 3 ] ], thegtilde := [ [ 16, 15, 15, 0, -30, -15, 30, 0, 36, -3, -9, -6, -9, -9, -24, 9, 3, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, 1, 1, 0, -1, -2, 0, 0, 2, -2, -2, -2, -2, -2, -1 ], [ 4, 4, 4, 0, -8, -4, 8, 0, 10, 0, -3, -2, -3, -4, -6, 3, -1\
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10, 0, 12, -1, -3, -2, -3, -3, -8, 3, 1, 0, -5, -22, 7, 17, 7, 7, 12, 8 ], [ 2, 2, 2, 0, -4, -2, 4, 0, 4, 0, -1, -1, -1, -1, -3, 1, 0, 0, -2, -8, 3, 6, 2,\
 2, 4, 3 ], [ -2, -2, -2, 0, 4, 2, -4, 0, -4, 0, 1, 1, 1, 1, 3, -1, 0, 0, 2, 8, -2, -5, -2, -2, -4, -3 ], [ 2, 2, 2, 0, -4, -2, 4, 0, 4, 0, -1, -1, -1, -1\
, -3, 1, 0, 0, -2, -8, 2, 6, 3, 2, 4, 3 ], [ 2, 2, 2, 0, -4, -2, 4, 0, 4, 0, -1, -1, -1, -1, -3, 1, 0, 0, -2, -8, 2, 6, 2, 3, 4, 3 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -2, -2, -2, 0, 4, 2, -4, 0, -4, 0, 1, 1, 1, 1, 3, -1, 0, 0, 2, 8, -2, -6, -2, -2, -4, -2 ]\
 ] ), rec( GramQ := [ [ -160, -65, -118, -157, -26, -157, -14, -11, 8, -12, -3, 4, -4, 8, 10, -1, 12 ], [ -65, -28, -50, -66, -13, -62, -5, -5, 2, -5, -1,\
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, 9, 12, -3, 6 ], [ -26, -13, -32, -57, -64, -5, 30, 39, 0, 4, 11, 12, 32, 4, 6, -3, -8 ], [ -157, -62, -110, -142, -5, -164, -25, -23, 10, -13, -7, 1, -1\
4, 7, 8, 1, 16 ], [ -14, -5, -4, 3, 30, -25, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -11, -5, -2, 9, 39, -23, -25, -36, -2, -6, -8, -10, -26, -2, \
-2, 0, 6 ], [ 8, 2, 4, 6, 0, 10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -12, -5, -8, -9, 4, -13, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -3, -1, 0, \
3, 11, -7, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 4, 1, 4, 9, 12, 1, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -4, -2, 2, 12, 32, -14, -20, -26,\
 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 8, 3, 6, 9, 4, 7, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 10, 4, 8, 12, 6, 8, -2, -2, 0, 2, -2, -2, -4, -2, -\
4, 2, 0 ], [ -1, -1, -2, -3, -3, 1, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 12, 4, 6, 6, -8, 16, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -\
4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -20, 2, 16, 8, -20, -4, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 16, 2, -20, -6, \
20, 4, 0 ], [ 0, 0, 8, 0, -6, -8, 12, 2, 0 ], [ 0, 0, -20, 0, 20, 12, -28, -4, 0 ], [ 0, 0, -4, 0, 4, 2, -4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Si\
gma := [ [ 0, 1, 1, 0, -1, -1, 2, 0, -1, -1, -1, 0, -2, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
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 -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 2, 6, 6, 2, -9, -13,\
 12, 8, 17, -2, -7, -6, -8, -2, -14, 3, 5, -3, -6, -36, 14, 25, 14, 13, 20, 11 ], embQ := [ [ 1, 0, 0, 0, 0, 4, -6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4\
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, 0, 0, 0, 0, 0, 4, 0, -1, -1, 1, 2, -3 ], [ 0, 0, 0, 1, 0, 3, -6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -1, -1, 1, 3, -3 ], [ 0, 0, 0, 0, 1, 0, -2, \
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0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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:= [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, \
0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, -4, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 0, 4, -4, 5, 4, -2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 4, -8, 4, 0, 1, 1, 1, 0, 0, 0, -1, 4, -2, 2, -6, 3, -4, -5, 3, 0 ], [ -1, 0, 0, 0, 2\
, -3, 4, -4, 2, 0, -1, -1, -1, 0, 0, 0, 1, 2, -2, -2, -1, 4, -2, -2, 4, 1 ], [ 0, 0, 0, 0, 0, 2, -8, 10, -4, 0, 0, 0, 0, 0, 0, 0, 0, -5, 4, 0, 6, -6, 6, 6\
, -6, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, \
0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 10, 6, 12, 20, 18, 14, 9, 6, 4, 2 ], rlifts := [ [ 0, 1, 1, 0, -1, -2, 2, 1, 2, 0, -1, -1, -1, 0, -2, 0, 2, -1, \
-1, -4, 1, 3, 1, 1, 2, 1 ] ], rootsQ := [ [ 0, -1, -1, 0, 1, 1, -2, 0, 1, 1, 1, 0, 2, -1, 1, 1, -1 ], [ 0, 1, 1, 0, -1, -1, 2, 0, -1, -1, -1, 0, -2, 1, -1\
, -1, 1 ], [ 0, -1, -1, 0, 1, 1, -2, 0, 1, 1, 1, 0, 2, -2, 1, 1, -1 ], [ 0, 1, 1, 0, -1, -1, 2, 0, -1, -1, -1, 0, -2, 2, -1, -1, 1 ], [ 0, -1, -1, 0, 1, 1\
, -2, 0, 1, 1, 1, 0, 2, 0, 0, 1, -1 ], [ 0, 1, 1, 0, -1, -1, 2, 0, -1, -1, -1, 0, -2, 0, 0, -1, 1 ], [ 0, -1, -1, 0, 1, 1, -2, 0, 1, 1, 1, 0, 2, -1, 0, 1,\
 -1 ], [ 0, 1, 1, 0, -1, -1, 2, 0, -1, -1, -1, 0, -2, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, \
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2, 24, 40, 36, 28, 20, 12, 8, 3 ] ], thegtilde := [ [ 1, 18, 18, 0, -18, -18, 0, 36, 42, 0, -21, -18, -21, -18, -30, 18, 3, -18, 0, -102, 69, 42, 51, 51, \
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 0, 1, 0, -2, 0, 0, 4, -2, -2, -2, -2, -2, -2 ], [ 0, 2, 2, 0, -2, -2, 0, 4, 6, 0, -3, -2, -3, -2, -4, 3, -1, -2, 0, -14, 9, 6, 7, 7, 4, 6 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 4, 0, -4, -4, 0, 8, 10, 0, -5, -4, -5, -4, -7, 4, 1, -4, 0, -23\
, 16, 10, 12, 12, 6, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 2, 2, 0, -2, -2, 0, 4, 4, 0, -2, -2, -2, -2, -3, 2, 0, -2, 0, -10, 7, 4, 5, 5, 3, 5 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -970, -344, -706, -1084, -1392, -880, 103, 115, -16, 6, 42, 31, 9\
8, 20, 31, -16, -42 ], [ -344, -124, -252, -384, -490, -312, 34, 37, -6, 1, 14, 10, 32, 7, 11, -6, -14 ], [ -706, -252, -516, -790, -1012, -640, 74, 82, -\
12, 4, 30, 22, 70, 14, 22, -12, -30 ], [ -1084, -384, -790, -1216, -1564, -982, 120, 135, -18, 9, 48, 36, 114, 21, 33, -18, -48 ], [ -1392, -490, -1012, -\
1564, -2022, -1262, 161, 184, -22, 15, 64, 49, 154, 27, 42, -22, -64 ], [ -880, -312, -640, -982, -1262, -800, 92, 103, -14, 5, 38, 28, 88, 19, 29, -14, -\
38 ], [ 103, 34, 74, 120, 161, 92, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 115, 37, 82, 135, 184, 103, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, \
6 ], [ -16, -6, -12, -18, -22, -14, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 6, 1, 4, 9, 15, 5, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 42, 14, 30, 48\
, 64, 38, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 31, 10, 22, 36, 49, 28, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 98, 32, 70, 114, 154, 88, -20\
, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 20, 7, 14, 21, 27, 19, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 31, 11, 22, 33, 42, 29, -2, -2, 0, 2, -2\
, -2, -4, -2, -4, 2, 0 ], [ -16, -6, -12, -18, -22, -14, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -42, -14, -30, -48, -64, -38, 6, 6, -2, 2, 2, 0, 4, 0, 0,\
 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 4, 0, 2, -4, 8 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ]\
, [ 0, 0, 4, 2, -8, 2, -2, 4, -8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 2, 0, -2, 2, -8, 6, -10 ], [ 0, 0, -4, 0, 4, 0, 6, -8, 12 ], [ 0, 0, 8, 0, -8,\
 0, -10, 12, -28 ] ], Sigma := [ [ 1, 1, 1, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 1, -2, -1, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, \
0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl \
:= [ 6, 6, 6, 2, -9, -13, 8, 12, 13, -2, -7, -6, -8, -6, -10, 7, 1, -5, -4, -44, 26, 25, 22, 21, 20, 19 ], embQ := [ [ 1, 0, 0, 0, 0, 1, -3, -6, 0, 0, 0, \
0, 0, 0, 0, -3, 0, 0, 0, 22, 0, -4, -9, -7, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 8, 0, -1, -4, -3, 0, 0 ], [ 0, 0, 1, 0, \
0, 0, -2, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 16, 0, -3, -7, -5, 0, 1 ], [ 0, 0, 0, 1, 0, 0, -3, -6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 24, 0, -4, -10, -\
8, 0, 3 ], [ 0, 0, 0, 0, 1, 1, -4, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 30, 0, -6, -12, -9, -1, 5 ], [ 0, 0, 0, 0, 0, 2, -3, -6, 0, 0, 0, 0, 0, 0, 0, -3,\
 0, 0, 0, 20, 0, -4, -8, -6, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -\
1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 1, 0, -1, \
1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, 0, 2, 1, 2, 3 \
], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 2, -1, -2, 1, 0, 0, 4,\
 -5, -1, -1, -2, -1, -3 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 1, 0, 0, 0, 0, 1, -4, 4, -2, 0, 0, 0\
, 0, 1, 0, -1, 1, -2, 2, 0, 2, -2, 3, 3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 1, 2, -2, 2, -1, -2, 1, 2, -1, -1, 2, 3 ], [ 2, 0, 0, 0, \
0, -2, 0, 4, -4, 0, 0, 0, 0, 4, -1, -4, 4, -2, 0, 2, -3, 0, 1, 1, 0, -5 ] ], r := [ 10, 6, 12, 20, 18, 14, 10, 7, 6, 2 ], rlifts := [ [ 1, 1, 1, 0, -1, -2\
, 1, 2, 1, 0, -1, -1, -1, -1, -1, 1, 1, -2, -1, -6, 4, 3, 3, 3, 2, 3 ] ], rootsQ := [ [ -1, -1, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 1, -1, 2, 1, -4 ], [ 1, 1,\
 1, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 1, -2, -1, 4 ], [ -1, -1, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 1, 0, 1, 1, -4 ], [ 1, 1, 1, 0, -1, -1, 1, 0, -1, -1, -\
1, -1, -1, 0, -1, -1, 4 ], [ -1, -1, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 1, 0, 1, 0, -4 ], [ 1, 1, 1, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 0, -1, 0, 4 ], [ -1\
, -1, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 1, 1, 0, 0, -4 ], [ 1, 1, 1, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0\
, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0,\
 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" \
], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 12, 25, 40, 36, 28, 20, 14, 12, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
 ], [ -20, -12, -24, -40, -35, -28, -20, -14, -12, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 10, 6, 12, 20, 18, 14, 11, 7, 6, 2 ], [ 20, 12, 24, 40, 36, 2\
8, 20, 15, 12, 4 ], [ -30, -18, -36, -60, -54, -42, -30, -21, -17, -6 ], [ 20, 12, 24, 40, 36, 28, 20, 14, 12, 5 ] ], thegtilde := [ [ 19, 18, 18, 0, -18,\
 -36, 18, 36, 24, 0, -21, -18, -21, -18, -21, 18, 3, -18, -9, -120, 78, 60, 60, 60, 42, 57 ], [ 14, 15, 14, 0, -14, -28, 14, 28, 18, 0, -16, -14, -16, -14\
, -16, 14, 2, -14, -7, -92, 60, 46, 46, 46, 32, 44 ], [ 24, 24, 25, 0, -24, -48, 24, 48, 32, 0, -28, -24, -28, -24, -28, 24, 4, -24, -12, -160, 104, 80, 8\
0, 80, 56, 76 ], [ 40, 40, 40, 1, -40, -80, 40, 80, 52, 0, -46, -40, -46, -40, -46, 40, 6, -40, -20, -264, 172, 132, 132, 132, 92, 126 ], [ 34, 34, 34, 0,\
 -33, -68, 34, 68, 44, 0, -39, -34, -39, -34, -39, 34, 5, -34, -17, -224, 146, 112, 112, 112, 78, 107 ], [ 26, 26, 26, 0, -26, -51, 26, 52, 33, 0, -29, -2\
5, -29, -26, -30, 26, 3, -26, -14, -170, 111, 85, 85, 85, 59, 81 ], [ 22, 22, 22, 0, -22, -44, 23, 44, 27, 0, -24, -21, -24, -22, -25, 22, 2, -22, -12, -1\
42, 93, 71, 71, 71, 49, 68 ], [ 11, 11, 11, 0, -11, -22, 11, 23, 14, 0, -12, -10, -12, -11, -13, 11, 1, -12, -7, -72, 47, 36, 36, 36, 25, 34 ], [ 10, 10, \
10, 0, -10, -20, 10, 20, 12, 0, -10, -9, -10, -10, -11, 10, 0, -10, -6, -62, 41, 31, 31, 31, 21, 30 ], [ 8, 8, 8, 0, -8, -16, 8, 16, 10, -1, -8, -7, -8, -\
9, -8, 9, -1, -8, -4, -50, 34, 26, 26, 26, 18, 24 ], [ 4, 4, 4, 0, -4, -8, 4, 8, 4, 0, -4, -4, -3, -4, -4, 4, -1, -4, -1, -24, 17, 12, 13, 13, 8, 12 ], [ \
-2, -2, -2, 0, 2, 4, -2, -4, -3, 0, 2, 2, 2, 2, 3, -2, 0, 2, 2, 14, -9, -7, -7, -7, -5, -6 ], [ -2, -2, -2, 0, 2, 4, -2, -4, -2, 0, 3, 2, 2, 2, 2, -2, -1,\
 2, 0, 12, -9, -6, -7, -7, -4, -6 ], [ 2, 2, 2, 0, -2, -4, 2, 4, 1, 0, -1, -1, -1, -3, -1, 2, -1, -2, -2, -10, 8, 5, 6, 6, 3, 6 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, -2, 4, -2, -2, -2, -2, -2, -2 ], [ 4, 4, 4, 0, -4, -8, 4, 8, 6, 0, -5, -4, -5, -6, -4, 5, -1, -4, -2, -28, 19, 14, 15, \
15, 10, 14 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
-1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 6, 6, 0, -6, -12, 6, 12, 8, 0, -7, -6, -\
7, -6, -7, 6, 1, -6, -3, -39, 26, 20, 20, 20, 14, 19 ], [ 2, 2, 2, 0, -2, -4, 2, 4, 2, 0, -2, -2, -2, -2, -2, 2, 0, -2, -1, -12, 9, 6, 6, 6, 4, 6 ], [ -2,\
 -2, -2, 0, 2, 4, -2, -4, -2, 0, 2, 2, 2, 2, 2, -2, 0, 2, 1, 12, -8, -5, -6, -6, -4, -6 ], [ 2, 2, 2, 0, -2, -4, 2, 4, 2, 0, -2, -2, -2, -2, -2, 2, 0, -2,\
 -1, -12, 8, 6, 7, 6, 4, 6 ], [ 2, 2, 2, 0, -2, -4, 2, 4, 2, 0, -2, -2, -2, -2, -2, 2, 0, -2, -1, -12, 8, 6, 6, 7, 4, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -2, -2, -2, 0, 2, 4, -2, -4, -2, 0, 2, 2, 2, 2, 2, -2, 0, 2, 1, 12, -8, -6, -6, -6, -4, -5 ] ] ), rec\
( GramQ := [ [ -10, -48, -34, -22, -64, 9, 12, -2, 1, 4, 3, 10, 1, 2, -2, -4, 2 ], [ -48, -288, -195, -118, -395, 55, 80, -8, 12, 24, 20, 64, 4, 8, -8, -2\
4, 13 ], [ -34, -195, -134, -82, -265, 37, 52, -6, 7, 16, 13, 42, 3, 6, -6, -16, 8 ], [ -22, -118, -82, -52, -160, 22, 32, -4, 4, 10, 8, 26, 2, 4, -4, -10\
, 6 ], [ -64, -395, -265, -160, -548, 76, 116, -10, 19, 34, 29, 92, 5, 10, -10, -34, 21 ], [ 9, 55, 37, 22, 76, -12, -17, 1, -2, -5, -5, -14, -1, -2, 2, 4\
, -2 ], [ 12, 80, 52, 32, 116, -17, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6, -8 ], [ -2, -8, -6, -4, -10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2, 0 ], [ 1,\
 12, 7, 4, 19, -2, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2, -2 ], [ 4, 24, 16, 10, 34, -5, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2, -2 ], [ 3, 20, 13, 8, 29, -5, -10,\
 -1, 0, -3, -6, -10, -1, -2, 2, 0, -2 ], [ 10, 64, 42, 26, 92, -14, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4, -6 ], [ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, \
-2, -2, -2, 0, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0, 0 ], [ -4\
, -24, -16, -10, -34, 4, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4, 2 ], [ 2, 13, 8, 6, 21, -2, -8, 0, -2, -2, -2, -6, 0, 0, 0, 2, -4 ] ], GramQperp := [ [ -4, -2, 4\
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[ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0,\
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l := [ 2, 1, 1, 3, -5, -5, 4, 4, 9, -2, -3, -2, -4, -2, -6, 3, 1, -1, -2, -20, 10, 13, 11, 9, 14, 7 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
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2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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de := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, -3, 0, -3, 0, 3, 0, 0, -12, 6, 6, 6, 6, 6, 3 ], [ 0, 0, 2, -1, 0, 0, 0, 0, 4, 0, -2, 0, -2, 0, -2, 0, 2, 0,\
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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 11, 7, -2, 1, 4, 3, 10, -5, 1, 2, -2, -4 ], [ -52, -356, -232, -130, -500, 80, 40, -8, 16, 28, 24, 76, -56, 4, 8, -8, -28 ], [ -36, -232, -154, -88, -32\
2, 51, 27, -6, 9, 18, 15, 48, -33, 3, 6, -6, -18 ], [ -22, -130, -88, -52, -178, 28, 16, -4, 4, 10, 8, 26, -16, 2, 4, -4, -10 ], [ -70, -500, -322, -178, \
-710, 115, 55, -10, 25, 40, 35, 110, -85, 5, 10, -10, -40 ], [ 11, 80, 51, 28, 115, -20, -10, 1, -4, -7, -7, -20, 15, -1, -2, 2, 6 ], [ 7, 40, 27, 16, 55,\
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, -2, 6, 1, 2, -2, 2 ], [ 4, 28, 18, 10, 40, -7, -4, 1, 0, -4, -3, -8, 4, -1, -2, 2, 2 ], [ 3, 24, 15, 8, 35, -7, -6, -1, 0, -3, -6, -10, 4, -1, -2, 2, 0 \
], [ 10, 76, 48, 26, 110, -20, -12, 0, -2, -8, -10, -24, 14, -2, -4, 4, 4 ], [ -5, -56, -33, -16, -85, 15, 0, 0, 6, 4, 4, 14, -20, -2, -2, 0, -4 ], [ 1, 4\
, 3, 2, 5, -1, -4, -1, 1, -1, -1, -2, -2, -2, -2, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -4, 0, 2, -2, -2, -4, -2, -2, -4, 2, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2,\
 -2, 2, 2, 4, 0, 0, 2, -4, 0 ], [ -4, -28, -18, -10, -40, 6, 2, -2, 2, 2, 0, 4, -4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -\
8, 2, 0, -2, -4, 0, 2, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -2, 0, 2, -8, 0, 0, 2, -6 ], [ 0, -4, 0, 0, 0, -8, 2, 2,\
 -6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 2, 0, 0, 2, 2, 2, -4, 4 ], [ 0, -6, 0, 0, -6, -6, 0, 4, -12 ] ], Sigma := [ [ 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -\
1, 0, 1, -1, 0, 0, 2 ], [ 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
1, -1, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, \
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 -6, -5, 4, 4, 11, -2, -3, -2, -4, -4, -6, 5, -1, -1, -2, -24, 13, 14, 11, 10, 13, 10 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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Qperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 1, -1, 1, 0, -1, 0, 0, 2, -2, 0, -1, -1, -1, -1, 0, 1,\
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 [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 6, 4, 2, 2, 1 ], [ 0, 0, 1, 0, 0, \
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32, 12, 0, -16, -10, -16, 0, -16, 0, 16, -16, 0, -60, 38, 22, 32, 32, 22, 16 ], [ 0, 9, 0, 0, 6, -19, 0, 28, 10, 0, -14, -9, -14, 0, -14, 0, 14, -14, 0, -\
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 1, 16, 5, 0, -8, -5, -8, 0, -9, 0, 8, -8, -1, -30, 19, 11, 17, 17, 11, 8 ], [ 0, 4, 0, 0, 1, -6, 0, 11, 3, 0, -5, -3, -5, 0, -6, 0, 5, -6, 0, -19, 12, 7,\
 11, 11, 7, 5 ], [ 0, 3, 0, 0, 0, -3, 0, 6, 2, 0, -3, -2, -3, 0, -4, 0, 3, -3, 0, -11, 7, 4, 7, 7, 4, 3 ], [ 0, 3, 0, 0, 0, -3, 0, 6, 2, -1, -3, -2, -3, -\
1, -3, 1, 2, -3, 0, -11, 8, 5, 8, 8, 5, 3 ], [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -2, 2, 1, 3, 3, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 ], [ \
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, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 1, 2, 2, 1, 1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, -1, -1, -1, 0, -1, 0, 1, -1, 0, -3, 2, 2, 2, 2, 1\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -182, -104, -230, -377, -359, -174, 42, 59, 3, 14, 14, 17, 45, 0, 0, 0, -11 ], [ -104, -60, -132, -216, -\
206, -100, 24, 34, 2, 8, 8, 10, 26, 0, 0, 0, -6 ], [ -230, -132, -292, -478, -456, -220, 54, 76, 4, 18, 18, 22, 58, 0, 0, 0, -14 ], [ -377, -216, -478, -7\
84, -749, -359, 90, 126, 6, 30, 30, 36, 96, 0, 0, 0, -24 ], [ -359, -206, -456, -749, -720, -339, 90, 125, 5, 30, 30, 35, 95, 0, 0, 0, -25 ], [ -174, -100\
, -220, -359, -339, -176, 31, 47, 5, 13, 10, 14, 35, -1, -2, 2, -7 ], [ 42, 24, 54, 90, 90, 31, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 59, 34, 76\
, 126, 125, 47, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 3, 2, 4, 6, 5, 5, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 14, 8, 18, 30, 30, 13, -4, \
-6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 14, 8, 18, 30, 30, 10, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 17, 10, 22, 36, 35, 14, -7, -10, -1, 0, -3, -6, -\
10, -1, -2, 2, 0 ], [ 45, 26, 58, 96, 95, 35, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 0, 0, 0, 0, 0, -1, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 \
], [ 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -11, -6, -14, -24, -25, -7, \
6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, 2, 2, 0, 0, 0, 0 ], [ 0, -2, -8, 4, 2, 0, 0, 0, 0 ], [ \
2, 2, 4, -4, 0, 0, 0, 0, 0 ], [ 0, 2, 2, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, \
-1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 2, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, 4, 3, 2, -5, -7, 4, 4, 11, -2, -3, -2, -4, -2, -6, 3, 1, -1, -2, -22, 10, 14, 9, 8\
, 12, 8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -2, 4, 2, -3, 8 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, -1, -1, 0 ], [ 0, -1, 2, 1, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0, 1 ], [ 0, -1, 0, 2, -3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -\
1, 0, 0, 2, -2, -1, 1, -1, 1, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0\
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0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 2, 2\
, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 3, 1, 3, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0\
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 -1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ],\
 theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 3, 6, 6, 5, 4, 3, 2, 1 ], [ 3, 1, 4, 6, 6, 5, 4, 3, 2, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -3, -\
1, -3, -6, -5, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 6, 2, 0, 0, -5, 0, 0, 11, 0, -3, 0, -3, 0, -3, 0, 3, 0, 0, -17, 6, 9, 3, 3, 6, \
5 ], [ 0, 3, 2, 0, 0, -3, 0, 0, 7, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, -11, 4, 5, 3, 3, 4, 4 ], [ 0, 6, 5, 0, 0, -7, 0, 0, 15, 0, -4, 0, -4, 0, -4, 0, 4, 0, \
0, -23, 8, 11, 5, 5, 8, 8 ], [ 0, 10, 5, 1, 0, -10, 0, 0, 22, 0, -6, 0, -6, 0, -6, 0, 6, 0, 0, -34, 12, 17, 7, 7, 12, 11 ], [ 0, 10, 5, 0, 1, -10, 0, 0, 2\
0, 0, -5, 0, -5, 0, -5, 0, 5, 0, 0, -30, 10, 15, 5, 5, 10, 10 ], [ 0, 8, 5, 0, 0, -8, 0, 0, 16, 0, -3, 1, -3, 0, -4, 0, 3, 0, 0, -23, 7, 11, 3, 3, 7, 8 ],\
 [ 0, 6, 3, 0, 0, -6, 1, 0, 11, 0, -2, 1, -2, 0, -3, 0, 2, 0, -1, -16, 5, 8, 2, 2, 5, 5 ], [ 0, 4, 3, 0, 0, -5, 0, 1, 8, 0, -1, 1, -1, 0, -2, 0, 1, -1, 0,\
 -11, 3, 5, 1, 1, 3, 4 ], [ 0, 2, 1, 0, 0, -2, 0, 0, 4, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -4, 1, 2, 0, 0, 1, 1 ], [ 0, 0, 3, 0, 0, -3, 0, 0, 5, -1, 0, 1, 0, \
-1, 0, 1, -1, 0, 0, -5, 2, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 ], [ 0, 0,\
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1, -1, -2, -1 ], [ 0, 0, 2, 0, 0, -2, 0, 0, 4, 0, -1, 0, -1, -2, 0, 1, -1, 0, 0, -6, 3, 2, 3, 3, 2, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, -1, 0, 0 ] ] ), rec( GramQ := [ [ -38, -104, -90, -68, -110, -37, -13, -18, 0, -9, -3, -2, -10, 3, 5, -3, 6 ], [ -104, -324, -268, -194, -360, -88, -1\
6, -24, 0, -24, 0, 4, -4, 12, 20, -12, 12 ], [ -90, -268, -226, -166, -292, -81, -21, -30, 0, -21, -3, 0, -12, 9, 15, -9, 12 ], [ -68, -194, -166, -124, -\
208, -64, -20, -28, 0, -16, -4, -2, -14, 6, 10, -6, 10 ], [ -110, -360, -292, -208, -410, -85, -5, -10, 0, -25, 5, 10, 10, 15, 25, -15, 10 ], [ -37, -88, \
-81, -64, -85, -46, -24, -30, 2, -10, -7, -5, -20, 2, 3, -1, 10 ], [ -13, -16, -21, -20, -5, -24, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -18, -24\
, -30, -28, -10, -30, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 0, 0, 0, 0, 0, 2, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -9, -24, -21, -16, -2\
5, -10, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -3, 0, -3, -4, 5, -7, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -2, 4, 0, -2, 10, -5, -7, -10, -1, 0, \
-3, -6, -10, -1, -2, 2, 0 ], [ -10, -4, -12, -14, 10, -20, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 3, 12, 9, 6, 15, 2, -1, -2, -1, 1, -1, -1, -2,\
 -2, -2, 0, 0 ], [ 5, 20, 15, 10, 25, 3, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -3, -12, -9, -6, -15, -1, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 6, \
12, 12, 10, 10, 10, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 2, 0, 16, -8, -8, -4, 4 ], [ 0, 2, -4,\
 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 16, 0, 2, -20, 10, 8, 4, -4 ], [ 0, -8, 0, 0, 10, -8, -2, -2, 2 ], [ 0, -8, 0, 0, 8, -2, -8, 0, \
2 ], [ 0, -4, 0, 0, 4, -2, 0, -4, 2 ], [ 0, 4, 0, 0, -4, 2, 2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1\
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, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ] ], adjweyl := [ 6, 6, 2, 2, -9, -9, 8, 8, 13, -2, -3, -2, -4, -2, -10, 3, 1, -3, -4, -28, 10, 17, 10, 9, 16, 7 ], emb\
Q := [ [ 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -1, -1, 1, -4 ], [ 0, 1, 0, 0, 2, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 -1, 0 ], [ 2, -1, 1, 0, -1, -1, 0, 4, -4, 0, -1, -1, -1, -2, 1, 2, -1, -2, 0, -6, 8, 2, 7, 7, 1, 5 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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1, 2, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 8, 4, 10, 16, 14, 10, 7, 5, 4, 2 ], r\
lifts := [ [ 1, 1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, -2, 0, 1, 0, 0, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, \
0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1\
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1, 1, 0 ], [ 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ -1, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0 ], [ 1, 1, 0, 0, -1, -1, 1,\
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0, 1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3\
" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 9, 20, 32, 28, 20, 14, 10, 8, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
 ], [ -16, -8, -20, -32, -27, -20, -14, -10, -8, -4 ], [ 8, 4, 10, 16, 14, 11, 7, 5, 4, 2 ], [ 8, 4, 10, 16, 14, 10, 8, 5, 4, 2 ], [ 8, 4, 10, 16, 14, 10,\
 7, 6, 4, 2 ], [ -8, -4, -10, -16, -14, -10, -7, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 11, 10, 0, 0, -10, -10, 10, 10, 16, 0,\
 -3, 0, -3, 0, -13, 0, 3, -5, -5, -32, 6, 16, 6, 6, 16, 3 ], [ 8, 9, 0, 0, -8, -8, 8, 8, 12, 0, -2, 0, -2, 0, -10, 0, 2, -4, -4, -24, 4, 12, 4, 4, 12, 2 ]\
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, -2, 0, -16, 0, 2, -6, -7, -36, 5, 18, 5, 5, 18, 2 ], [ 5, 5, 0, 0, -5, -5, 5, 6, 8, 0, -1, 1, -1, 0, -7, 0, 1, -3, -2, -16, 3, 8, 3, 3, 8, 1 ], [ 6, 6, \
0, 0, -6, -6, 6, 6, 8, 0, 0, 1, 0, 0, -7, 0, 0, -3, -3, -14, 1, 7, 1, 1, 7, 0 ], [ 6, 6, 0, 0, -6, -6, 6, 6, 8, -1, 0, 1, 0, -1, -6, 1, -1, -2, -2, -14, 2\
, 8, 2, 2, 8, 0 ], [ 4, 4, 0, 0, -4, -4, 4, 4, 4, 0, 0, 0, 1, 0, -4, 0, -1, -1, -1, -8, 1, 4, 1, 1, 4, 0 ], [ -2, -2, 0, 0, 2, 2, -2, -2, -3, 0, 0, 0, 0, \
0, 3, 0, 0, 1, 1, 6, -1, -3, -1, -1, -3, 0 ], [ -2, -2, 0, 0, 2, 2, -2, -2, -2, 0, 1, 0, 0, 0, 2, 0, -1, 1, 1, 4, -1, -2, -1, -1, -2, 0 ], [ 2, 2, 0, 0, -\
2, -2, 2, 2, 1, 0, 1, 1, 1, -1, -1, 0, -1, -1, -1, -2, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, 0, 4, -2, -2, -2, -2,\
 -2, -2 ], [ 4, 4, 0, 0, -4, -4, 4, 4, 6, 0, -1, 0, -1, -2, -4, 1, -1, -1, -1, -12, 3, 6, 3, 3, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, -1, -4, 1, 2, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2,\
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 2, 0, 1, 2, 0 ], [ -2, -2, 0, 0, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 4, 0, -2, 0, 0, -1, 0 ], [ -2, -2, 0, 0, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0\
, 2, 0, 0, 1, 1, 4, 0, -2, 0, 0, -2, 1 ] ] ), rec( GramQ := [ [ -96, -66, -39, -83, -23, -103, -23, -22, 8, -7, -8, -3, -19, 5, 2, 6, 10 ], [ -66, -48, -2\
8, -62, -26, -68, -11, -8, 6, -4, -4, 0, -8, 4, 2, 4, 6 ], [ -39, -28, -24, -40, -13, -36, -7, -10, 0, -4, -2, -2, -7, 2, 2, 0, 2 ], [ -83, -62, -40, -88,\
 -49, -78, -6, -2, 6, -4, -2, 2, -3, 6, 4, 4, 4 ], [ -23, -26, -13, -49, -70, -7, 24, 36, 4, 5, 8, 11, 26, 5, 4, 2, -6 ], [ -103, -68, -36, -78, -7, -120,\
 -34, -34, 10, -8, -12, -6, -29, 4, 0, 8, 14 ], [ -23, -11, -7, -6, 24, -34, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -22, -8, -10, -2, 36, -34, -2\
5, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 8, 6, 0, 6, 4, 10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -7, -4, -4, -4, 5, -8, -4, -6, 0, -4, 0, 0, \
-2, 1, 2, -2, 2 ], [ -8, -4, -2, -2, 8, -12, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -3, 0, -2, 2, 11, -6, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ]\
, [ -19, -8, -7, -3, 26, -29, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 5, 4, 2, 6, 5, 4, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 2, 2, 2, 4, \
4, 0, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ 6, 4, 0, 4, 2, 8, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 10, 6, 2, 4, -6, 14, 6, 6, -2, 2, 2, 0, 4, 0, \
0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 2, 0, 8, 8, -16, 0, -4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0\
, 0 ], [ 0, 8, 0, 2, -8, -2, 8, 0, 2 ], [ 0, 8, 0, 0, -2, -8, 10, 0, 2 ], [ 0, -16, 0, 0, 8, 10, -20, 2, -4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, -4, 0,\
 0, 2, 2, -4, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0\
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0, 1, 1 ], [ 0, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, -1, -1, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ] ], adjweyl :=\
 [ 2, 6, 2, 2, -5, -13, 12, 4, 17, -2, -5, -4, -6, -4, -10, 5, 1, -1, -6, -32, 12, 21, 8, 7, 20, 11 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -6, 0, 0, 1, 0, 0, 0,\
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, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 1, 0, 2, -6, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 1, 1, 2, 0, -3 ], [ 0, 0, \
0, 0, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 0, 1, 2, -1, 1 ], [ 0, 0, 0, 0, 0, 4, -6, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 3, 4, 0\
, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2\
, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
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 20, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -4, 8, 0, -2, -4, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0\
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4, 8, 0, 2, -8, 4 ], [ 0, 0, 0, 0, 0, 0, -6, 4, -12 ] ], Sigma := [ [ 0, 1, 1, 1, -2, -1, 3, 0, -1, -1, -1, -1, -2, 1, -2, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0,\
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, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 2, 6, 6, 6, -13, -13, 8, 12, 21, -2, -7, -6, -8, -6, -14, 7, 1, -5, -4, -44, 22, 25, 22, 17, 24, 19 ], embQ := [ [\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1\
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0, 0, 0, 1, -4, 4, -2, 0, 0, 0, 0, -1, 1, 1, -1, -2, 2, -2, 5, -2, 4, 4, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 1, 2, -2, 2, -1, -2, 1, 2,\
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ts := [ [ 0, 1, 1, 1, -2, -2, 1, 2, 3, 0, -1, -1, -1, -1, -2, 1, 1, -2, -1, -6, 3, 3, 3, 2, 3, 3 ] ], rootsQ := [ [ 0, 1, 1, 1, -2, -1, 3, 0, -1, -1, -1, \
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A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 28, 17, 36, 56, 52, 40, 28, 18, 12, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
28, 16, 36, 57, 52, 40, 28, 18, 12, 4 ], [ -56, -32, -72, -112, -103, -80, -56, -36, -24, -8 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 14, 8, 18, 28, 26, 20,\
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thegtilde := [ [ 1, 24, 24, 24, -48, -48, 24, 48, 78, 0, -27, -24, -27, -24, -51, 24, 3, -24, -12, -156, 78, 78, 78, 54, 78, 75 ], [ 0, 15, 14, 14, -28, -\
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[ 0, -2, -2, -2, 4, 4, -2, -4, -8, 0, 4, 4, 4, 2, 5, -2, -2, 2, -1, 16, -8, -8, -8, -6, -8, -8 ], [ 0, 2, 2, 2, -4, -4, 2, 4, 8, 0, -3, -2, -3, -4, -4, 3,\
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, 0 ], [ 0, 2, 2, 2, -4, -4, 2, 4, 6, 0, -2, -2, -2, -2, -4, 2, 0, -2, -1, -12, 6, 7, 6, 4, 6, 6 ], [ 0, -2, -2, -2, 4, 4, -2, -4, -6, 0, 2, 2, 2, 2, 4, -\
2, 0, 2, 1, 12, -6, -6, -5, -4, -6, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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4, 20, -8, -8 ], [ -307, -208, -136, -338, -231, -278, 19, 18, -5, -5, 9, 6, 18, 8, 12, -6, -8 ], [ -773, -522, -338, -848, -579, -702, 47, 46, -11, -13, \
23, 16, 46, 22, 32, -14, -20 ], [ -513, -342, -231, -579, -418, -457, 51, 56, -8, -3, 22, 17, 50, 15, 22, -10, -20 ], [ -657, -448, -278, -702, -457, -608\
, 19, 14, -7, -17, 13, 8, 20, 20, 28, -10, -10 ], [ 30, 16, 19, 47, 51, 19, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 26, 12, 18, 46, 56, 14, -25, -\
36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -9, -6, -5, -11, -8, -7, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -16, -12, -5, -13, -3, -17, -4, -6, 0, -4,\
 0, 0, -2, 1, 2, -2, 2 ], [ 17, 10, 9, 23, 22, 13, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 11, 6, 6, 16, 17, 8, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2\
, 0 ], [ 30, 16, 18, 46, 50, 20, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 21, 14, 8, 22, 15, 20, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 30, \
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 -10, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -4, 8, 0, -4, -4, 8 ], [ 0, 2, -4, 2, 0, 0, 0, 0, \
0 ], [ 2, -4, 2, -8, 10, 0, -4, -4, 8 ], [ 0, 8, 0, 10, -20, 2, 8, 8, -16 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 0, -4, 8, 2, -8, -2, 8 ], [ 0, -4, 0\
, -4, 8, 0, -2, -8, 12 ], [ 0, 8, 0, 8, -16, 0, 8, 12, -28 ] ], Sigma := [ [ 1, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, -1, -2, 0, -1, -2, 3 ], [ 0, 0, 0, 0, 0\
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1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 6, 6, 6, 6, -13, -17, 12, 12, 17, -2, -7, -6, -8, -6, -12, 7, 1, -5, -6, -48, 24, 29, 24, 19, 28, 21 ], emb\
Q := [ [ 1, 0, 0, 0, 0, 3, -6, -6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 21, 0, -2, -11, -7, 0, -10 ], [ 0, 1, 0, 0, 0, 2, -4, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 20, 14, 10, 8, 3 ], rlifts := [ [ 1, 1, 1, 1, -2, -3, 2, 2, 1, 2, -1, -1, -1, -1, -2, 0, 0, -1, -2, -7, 3, 3, 3, 2, 3, 4 ] ], rootsQ := [ [ 1, 1, 1, 1, \
-2, -2, 2, 0, -1, -1, -1, 0, -2, 0, -1, -1, 3 ], [ -1, -1, -1, -1, 2, 2, -2, 0, 1, 1, 1, 0, 2, 0, 1, 1, -3 ], [ 1, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, -1, \
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, -1, -1, 2, 2, -3, 1, 1, 1, 1, 1, 1, 0, 1, 0, -4 ], [ 1, 1, 1, 1, -2, -2, 2, 0, -1, -1, -1, -2, -1, 0, -1, -1, 4 ], [ -1, -1, -1, -1, 2, 2, -2, 0, 1, 1, \
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 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 28, 17, 36, 56, 52, 40, 28, 20, 16, 6 ], [ 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 28, 16, 36, 57, 52, 40, 28, 20, 16, 6 ], [ -56, -32, -72, -112, -103, -80, -56, -40, -32, -12 ], [ 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0 ], [ 28, 16, 36, 56, 52, 40, 29, 20, 16, 6 ], [ 28, 16, 36, 56, 52, 40, 28, 21, 16, 6 ], [ -42, -24, -54, -84, -78, -60, -42, -30, -23, -9 ], [ 28, 1\
6, 36, 56, 52, 40, 28, 20, 16, 7 ] ], thegtilde := [ [ 25, 24, 24, 24, -48, -72, 48, 48, 54, 0, -27, -24, -27, -24, -39, 24, 3, -24, -24, -180, 90, 102, 9\
0, 66, 102, 87 ], [ 16, 17, 16, 16, -32, -48, 32, 32, 36, 0, -18, -16, -18, -16, -26, 16, 2, -16, -16, -120, 60, 68, 60, 44, 68, 58 ], [ 32, 32, 33, 32, -\
64, -96, 64, 64, 72, 0, -36, -32, -36, -32, -52, 32, 4, -32, -32, -240, 120, 136, 120, 88, 136, 116 ], [ 52, 52, 52, 53, -104, -156, 104, 104, 116, 0, -58\
, -52, -58, -52, -84, 52, 6, -52, -52, -388, 194, 220, 194, 142, 220, 188 ], [ 44, 44, 44, 44, -87, -132, 88, 88, 98, 0, -49, -44, -49, -44, -71, 44, 5, -\
44, -44, -328, 164, 186, 164, 120, 186, 159 ], [ 34, 34, 34, 34, -68, -101, 68, 68, 75, 0, -37, -33, -37, -34, -55, 34, 3, -34, -34, -252, 126, 143, 126, \
92, 143, 122 ], [ 26, 26, 26, 26, -52, -78, 53, 52, 57, 0, -28, -25, -28, -26, -42, 26, 2, -26, -27, -192, 96, 109, 96, 70, 109, 93 ], [ 14, 14, 14, 14, -\
28, -42, 28, 29, 31, 0, -15, -13, -15, -14, -23, 14, 1, -15, -14, -104, 52, 59, 52, 38, 59, 50 ], [ 10, 10, 10, 10, -20, -30, 20, 20, 22, 0, -10, -9, -10,\
 -10, -16, 10, 0, -10, -10, -72, 36, 41, 36, 26, 41, 35 ], [ 7, 7, 7, 7, -14, -21, 14, 14, 16, -1, -7, -6, -7, -7, -11, 8, -1, -7, -7, -51, 26, 30, 26, 19\
, 30, 24 ], [ 2, 2, 2, 2, -4, -6, 4, 4, 4, 0, -2, -2, -1, -2, -3, 2, -1, -2, -2, -14, 8, 8, 8, 6, 8, 7 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -5, 0, 2, 2, 2, \
2, 4, -2, 0, 2, 2, 16, -8, -9, -8, -6, -9, -7 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -4, 0, 3, 2, 2, 2, 3, -2, -1, 2, 2, 14, -8, -8, -8, -6, -8, -7 ], [ 0, 0,\
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 -9, -10, -9, -7, -10, -9 ], [ 4, 4, 4, 4, -8, -12, 8, 8, 10, 0, -5, -4, -5, -4, -7, 5, -1, -4, -4, -32, 16, 18, 16, 12, 18, 15 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 6, 6, 6, -12, -18, 12, 12, 14, 0, -7, -6, -7, -6, -10, 6, 1, -6, -6, -45, 23,\
 26, 23, 17, 26, 22 ], [ 2, 2, 2, 2, -4, -6, 4, 4, 4, 0, -2, -2, -2, -2, -3, 2, 0, -2, -2, -14, 8, 8, 7, 5, 8, 7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 2, 2, 2, 2, -4, -6, 4, 4, \
4, 0, -2, -2, -2, -2, -3, 2, 0, -2, -2, -14, 7, 8, 7, 6, 8, 7 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -4, 0, 2, 2, 2, 2, 3, -2, 0, 2, 2, 14, -7, -8, -7, -5, -7\
, -7 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -4, 0, 2, 2, 2, 2, 3, -2, 0, 2, 2, 14, -7, -8, -7, -5, -8, -6 ] ] ), rec( GramQ := [ [ -152, -91, -198, -323, -316\
, -141, 42, 59, 3, 14, 14, 17, 45, 0, 0, 0, -11 ], [ -91, -56, -120, -194, -189, -85, 24, 34, 2, 8, 8, 10, 26, 0, 0, 0, -6 ], [ -198, -120, -260, -422, -4\
12, -184, 54, 76, 4, 18, 18, 22, 58, 0, 0, 0, -14 ], [ -323, -194, -422, -688, -673, -299, 90, 126, 6, 30, 30, 36, 96, 0, 0, 0, -24 ], [ -316, -189, -412,\
 -673, -660, -291, 90, 125, 5, 30, 30, 35, 95, 0, 0, 0, -25 ], [ -141, -85, -184, -299, -291, -140, 31, 47, 5, 13, 10, 14, 35, -1, -2, 2, -7 ], [ 42, 24, \
54, 90, 90, 31, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 59, 34, 76, 126, 125, 47, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 3, 2, 4, 6, 5,\
 5, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 14, 8, 18, 30, 30, 13, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 14, 8, 18, 30, 30, 10, -7, -8, 1, 0, -4, -\
3, -8, -1, -2, 2, 2 ], [ 17, 10, 22, 36, 35, 14, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 45, 26, 58, 96, 95, 35, -20, -26, 0, -2, -8, -10, -24, -2,\
 -4, 4, 4 ], [ 0, 0, 0, 0, 0, -1, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ 0, 0, 0, 0, \
0, 2, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -11, -6, -14, -24, -25, -7, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, -4, 0, 2\
, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 6, 0, -2, -2 ], [ -4, 0, 0, 0, 6,\
 -8, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 2, 0, 0, 0, -2, 2, 2, -4, 0 ], [ 2, 0, 0, 0, -2, 2, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 1, -1, \
0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, \
0, 0, 1, 0, 0, 1 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, 2, 2\
, 3, -7, -5, 4, 4, 9, -2, -3, -2, -4, -2, -6, 3, 1, -1, -2, -22, 11, 15, 12, 11, 14, 8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -3, 0, 1, 4, 5, 0, 8 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, 3, 0, 5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -4, 0, 1, 5, 7, 0, 11 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 2, 8, 10, 0, 18 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 1, 7, 9, -1, 17 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 1, 5, 6, 0, 8 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ \
0, 0, 1, -1, 1, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, -1, 2, 1, -1, 2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, \
-2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ -1, 0, 1, 1, -3, 2, 0, -2, 2, 0, 1, 1, 1, 1, -1, -1, 0, 1, 0, 4, -5, -1, -2, -3, -1, -2 ], [ 0, 0, 0, 0, 2, -4,\
 2, 2, -2, 0, -1, -1, -1, -1, 1, 1, 0, -1, -1, -4, 4, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 \
], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, \
-3, 0, -1, -1, 0, -3 ] ], r := [ 1, 1, 2, 3, 3, 2, 2, 2, 2, 1 ], rlifts := [ [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 1\
, 1 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, \
1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1,\
 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, -\
1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, \
0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1\
, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -2, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 2, 1, 2, 3, 3, 2, 2, 2, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, -2, -3, -2, -2, -2, -2, -2, -1 ], [ 1, 1, 2, 3, 3, 3, 2, 2, 2, 1 ], [ 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -1, -1, -2, -3, -3, -2, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde :=\
 [ [ 3, 0, 0, 1, -2, 0, 0, 0, 6, 0, -3, 0, -3, 0, -3, 0, 3, 0, 0, -14, 7, 8, 8, 8, 8, 4 ], [ 2, 1, 0, 1, -2, 0, 0, 0, 4, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, \
-10, 5, 6, 6, 6, 6, 3 ], [ 4, 0, 1, 1, -3, 0, 0, 0, 8, 0, -4, 0, -4, 0, -4, 0, 4, 0, 0, -19, 10, 11, 11, 11, 11, 5 ], [ 6, 0, 0, 4, -6, 0, 0, 0, 12, 0, -6\
, 0, -6, 0, -6, 0, 6, 0, 0, -30, 15, 18, 18, 18, 18, 9 ], [ 6, 0, 0, 2, -4, 0, 0, 0, 10, 0, -5, 0, -5, 0, -5, 0, 5, 0, 0, -25, 13, 15, 15, 15, 15, 7 ], [ \
4, 0, 0, 1, -3, 1, 0, 0, 7, 0, -3, 1, -3, 0, -4, 0, 3, 0, 0, -17, 9, 10, 10, 10, 10, 4 ], [ 2, 0, 0, 3, -4, 0, 1, 0, 5, 0, -2, 1, -2, 0, -3, 0, 2, 0, -1, \
-14, 6, 9, 9, 9, 9, 5 ], [ 2, 0, 0, 0, -1, 0, 0, 1, 3, 0, -1, 1, -1, 0, -2, 0, 1, -1, 0, -7, 4, 4, 4, 4, 4, 1 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 1, 0,\
 0, -1, 0, 0, 0, 0, -4, 1, 3, 3, 3, 3, 2 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 2, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, -3, 2, 3, 3, 3, 3, 1 ], [ -2, 0, 0, 2, -1, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 2, 2, 1, 2 ], [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, -1, -2, -2, -2, -2, -1 ], [\
 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -2, -2, -1, -1 ], [ -2, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 0, 2,\
 -1, -1, 0, 0, -1, 1 ], [ -2, 0, 0, 0, 1, 0, 0, 0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, 0, 5, -3, -3, -3, -3, -3, -2 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 2, 0, -1, 0,\
 -1, -2, 0, 1, -1, 0, 0, -5, 4, 3, 4, 4, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 1, -1, 0, 0, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, -4, 2, 3, 3, 3, 3, 2 ], [ -2, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, \
1, 2 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 1, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, -1 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 0 ] ] ), rec( GramQ := [ [ -10, \
-31, -24, -16, -37, 5, 6, -2, -2, 1, 0, 4, 1, 2, -2, -1, -3 ], [ -31, -174, -117, -69, -238, 40, 42, -8, 3, 15, 11, 36, 4, 8, -8, -15, 1 ], [ -24, -117, -\
82, -50, -155, 25, 26, -6, 0, 9, 6, 22, 3, 6, -6, -9, -1 ], [ -16, -69, -50, -32, -89, 14, 14, -4, -1, 5, 3, 12, 2, 4, -4, -5, -1 ], [ -37, -238, -155, -8\
9, -336, 59, 62, -10, 8, 23, 18, 54, 5, 10, -10, -23, 5 ], [ 5, 40, 25, 14, 59, -12, -13, 1, -2, -5, -5, -12, -1, -2, 2, 4, -2 ], [ 6, 42, 26, 14, 62, -13\
, -20, -2, -2, -4, -6, -14, -2, -2, 0, 2, 0 ], [ -2, -8, -6, -4, -10, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2, 0 ], [ -2, 3, 0, -1, 8, -2, -2, 0, -4, 0, 0, \
0, 1, 2, -2, 2, -2 ], [ 1, 15, 9, 5, 23, -5, -4, 1, 0, -4, -3, -6, -1, -2, 2, 2, -2 ], [ 0, 11, 6, 3, 18, -5, -6, -1, 0, -3, -6, -8, -1, -2, 2, 0, -2 ], [\
 4, 36, 22, 12, 54, -12, -14, 0, 0, -6, -8, -16, -2, -4, 4, 2, -2 ], [ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0, 0 ], [ 2, 8, 6, 4, 10, -2, \
-2, 0, 2, -2, -2, -4, -2, -4, 2, 0, 0 ], [ -2, -8, -6, -4, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0, 0 ], [ -1, -15, -9, -5, -23, 4, 2, -2, 2, 2, 0, 2, 0, \
0, 0, -4, 2 ], [ -3, 1, -1, -1, 5, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 2, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, 4, 0, -2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, \
0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 4, 0, 0, 0, 2, -8, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 2\
, -4, 2, 0 ], [ -2, 0, 0, 0, 0, 2, 2, -4, 0 ], [ -2, 0, 0, 0, 0, 2, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1 ], [ 0\
, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, \
-1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0 ], [ -2, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 2, 0, -1, -1, -1, 0, -1, 1, 0, 0, 1, 0 ] ], adjweyl := [ 1, 2, 2, 3, -5, -6, 4, 4, 11, -2, -4,\
 -3, -5, -2, -7, 3, 2, -1, -2, -22, 11, 15, 11, 10, 14, 8 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0 ]\
, [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -1, -4, -3, -2, 0 ], [ 0, 0, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0,\
 -1, -3, -2, -1, 0 ], [ 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, -2, 0, 0 ], [ 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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2, 2, 0, 0, 0, 0, 1, -1, -1, 1, 1, 0, 2, -3, -1, -2, -3, -1, -2 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ]\
, [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, 2, -2, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -2, 0, -1, -1, -1, -\
1, 1, 1, 0, -1, -1, -4, 4, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -\
4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r\
 := [ 1, 1, 2, 3, 3, 3, 2, 1, 0, 0 ], rlifts := [ [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, -1, \
0, 0, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 1, 2, 1, 1, 2, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, \
0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1,\
 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 -1, 0, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1\
, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 0, 0, 0, 2, 0, -1, -1, -1, 0, -1, 1, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, -2, 0, 1, 1, 1, 0, 1, -1, 0, 0, -1, 0 ] ], rootstypeQ\
 := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 2, 1, 2, 3, 3, 3, 2, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -1, -1, -2, -3, -3, -2, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 1, 2, 3, 3, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 3, 0, 0, 1, 0, -4, 0, 0\
, 14, 0, -7, -4, -7, 0, -7, 0, 7, 0, 0, -20, 10, 14, 10, 10, 14, 4 ], [ 4, 1, 0, -1, 0, -2, 0, 0, 8, 0, -4, -2, -4, 0, -4, 0, 4, 0, 0, -12, 6, 8, 6, 6, 8,\
 1 ], [ 4, 0, 1, 1, 0, -6, 0, 0, 20, 0, -10, -6, -10, 0, -10, 0, 10, 0, 0, -28, 14, 20, 14, 14, 20, 5 ], [ 9, 0, 0, 0, 0, -7, 0, 0, 26, 0, -13, -7, -13, 0\
, -13, 0, 13, 0, 0, -38, 19, 26, 19, 19, 26, 5 ], [ 7, 0, 0, 0, 1, -7, 0, 0, 24, 0, -12, -7, -12, 0, -12, 0, 12, 0, 0, -34, 17, 24, 17, 17, 24, 5 ], [ 5, \
0, 0, 1, 0, -6, 0, 0, 21, 0, -10, -6, -10, 0, -11, 0, 10, 0, 0, -28, 14, 21, 14, 14, 21, 4 ], [ 7, 0, 0, -2, 0, -3, 1, 0, 11, 0, -5, -2, -5, 0, -6, 0, 5, \
0, -1, -16, 8, 11, 8, 8, 11, 0 ], [ 2, 0, 0, 1, 0, -4, 0, 1, 11, 0, -5, -3, -5, 0, -6, 0, 5, -1, 0, -14, 7, 11, 7, 7, 11, 2 ], [ 4, 0, 0, -2, 0, 0, 0, 0, \
2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, -2 ], [ 4, 0, 0, -2, 0, 0, 0, 0, 2, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, -2, 2, 2, 2, 2, 2, -2 ], [ 4, 0,\
 0, -3, 0, 2, 0, 0, -4, 0, 2, 2, 3, 0, 2, 0, -3, 0, 0, 4, -1, -4, -1, -1, -4, -3 ], [ -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, \
1, 0, 0, 1, 1 ], [ -1, 0, 0, 1, 0, -1, 0, 0, 2, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 1 ], [ 3, 0, 0, -2, 0, 1, 0, 0, -3, 0, 2, 2, 2, -1, 2,\
 0, -2, 0, 0, 4, -1, -3, -1, -1, -3, -2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, 0, 4, -2, -2, -2, -2, -2, -3 ], [ 2, 0, 0, -1, 0, 0,\
 0, 0, 2, 0, -1, 0, -1, -2, 0, 1, -1, 0, 0, -4, 3, 2, 3, 3, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
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 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, -3, 2, 2, 2, 2, 2, 0 ], [ 1, 0, 0, -1, 0, 1, 0, 0, -2, 0, 1, 1, 1, 0, 1, 0, -1, 0,\
 0, 2, 0, -2, -1, -1, -2, -1 ], [ -1, 0, 0, 1, 0, -1, 0, 0, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 1, 3, 1, 1, 2, 1 ], [ 1, 0, 0, -1, 0, 1, 0, 0, -2, 0,\
 1, 1, 1, 0, 1, 0, -1, 0, 0, 2, -1, -2, 0, -1, -2, -1 ], [ 3, 0, 0, -2, 0, 1, 0, 0, -2, 0, 1, 1, 1, 0, 1, 0, -1, 0, 0, 2, -1, -2, -1, 0, -2, -2 ], [ -1, 0\
, 0, 1, 0, -1, 0, 0, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 1, 2, 1, 1, 3, 1 ], [ -1, 0, 0, 1, 0, -1, 0, 0, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 1, \
2, 1, 1, 2, 2 ] ] ), rec( GramQ := [ [ -704, -458, -935, -1427, -1229, -630, 87, 95, -15, 2, 38, 29, 87, 18, 30, -18, -35 ], [ -458, -300, -610, -928, -79\
6, -410, 54, 58, -10, 0, 24, 18, 54, 12, 20, -12, -22 ], [ -935, -610, -1244, -1896, -1631, -837, 114, 124, -20, 2, 50, 38, 114, 24, 40, -24, -46 ], [ -14\
27, -928, -1896, -2896, -2499, -1277, 180, 198, -30, 6, 78, 60, 180, 36, 60, -36, -72 ], [ -1229, -796, -1631, -2499, -2170, -1099, 165, 185, -25, 10, 70,\
 55, 165, 30, 50, -30, -65 ], [ -630, -410, -837, -1277, -1099, -566, 76, 83, -13, 1, 34, 26, 77, 17, 28, -16, -31 ], [ 87, 54, 114, 180, 165, 76, -20, -2\
5, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 95, 58, 124, 198, 185, 83, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -15, -10, -20, -30, -25, -13, 1, -2,\
 -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ 2, 0, 2, 6, 10, 1, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 38, 24, 50, 78, 70, 34, -7, -8, 1, 0, -4, -3, -8, -1, -2\
, 2, 2 ], [ 29, 18, 38, 60, 55, 26, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 87, 54, 114, 180, 165, 77, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 \
], [ 18, 12, 24, 36, 30, 17, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 30, 20, 40, 60, 50, 28, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -18, -12, -2\
4, -36, -30, -16, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -35, -22, -46, -72, -65, -31, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 2, \
-8, 6, 0, 0, -4, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -4, 4, 0, 0, 0, 0, 0 ], [ -8, 0, 4, -20, 8, 0, 0, -4, 2 ], [ 6, 0, 0, 8, -8, 2, 0, 4, -2 ], \
[ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, 0, 0, -4, 4, 0, 2, -8, 4 ], [ 2, 0, 0, 2, -2, 0, 0, 4, -4 ] ], Sigma := [ [ 1, 0, 1,\
 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 0, -1, 0, 4 ], [ 0, 0, 0, 2, -2, -1, 1, 0, -1, -1, -1, -1, -1, 0, -1, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -\
1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0,\
 1, 0 ] ], adjweyl := [ 3, 2, 3, 4, -8, -7, 4, 8, 11, -2, -5, -4, -6, -4, -8, 5, 1, -3, -2, -30, 18, 18, 18, 16, 17, 13 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0\
, -6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 15, 0, -2, -8, -7, 0, 2 ], [ 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 10, 0, -1, -6, -5, 0, 1 ],\
 [ 0, 0, 1, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 20, 0, -3, -11, -9, 0, 3 ], [ 0, 0, 0, 1, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 30\
, 0, -4, -16, -14, 0, 6 ], [ 0, 0, 0, 0, 1, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 25, 0, -4, -13, -11, -1, 7 ], [ 0, 0, 0, 0, 0, 1, 0, -6, 0, 0, 0,\
 0, 0, 0, 0, -3, 0, 0, 0, 13, 0, -2, -7, -6, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, -1, -1, 0, -2, 2 ], [\
 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 2, 0 ], [ 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, 0, -3, 1, -2, 1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 2, -1\
, -2, 1, 0, 0, 4, -5, -1, -1, -2, -1, -3 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 2, -\
4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 1, 2, -2, 2, -1, -2, 1, 2, -1, -1, 2, 3 ], \
[ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1 ] ], r := [ 7, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], rlifts := [ [ 1, 0, 1,\
 0, -1, -1, 0, 2, 1, 0, -1, -1, -1, -1, -1, 1, 0, -1, 0, -5, 4, 2, 4, 4, 2, 3 ], [ 0, 0, 0, 2, -2, -1, 0, 2, 1, 0, -1, -1, -1, -1, -1, 1, 0, -1, 0, -5, 4,\
 3, 4, 3, 3, 3 ] ], rootsQ := [ [ 1, 0, 1, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 0, -1, 0, 4 ], [ -1, 0, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 1, 0, 1, 0, -4 ], \
[ 0, 0, 0, 2, -2, -1, 1, 0, -1, -1, -1, -1, -1, 0, -1, 0, 4 ], [ 0, 0, 0, -2, 2, 1, -1, 0, 1, 1, 1, 1, 1, 0, 1, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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", "A1", "A1", "A3" ], theg := [ [ 8, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 7, 5, 10, 16,\
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, -2, -1, 2, 0, 12, -8, -5, -8, -8, -5, -6 ], [ -1, 0, -1, -2, 3, 2, 0, -4, -4, 0, 4, 4, 4, 2, 3, -2, -2, 2, 0, 14, -10, -7, -10, -9, -7, -8 ], [ 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, 1, 1 ] ] ), rec( GramQ := [ [ -18, -99, -67, -40, -129, 17, 14, -8, 3, 6, -1, 10, 1, 2, -2, -6, -6 ], [ -99, -604, -401, -232, -796, 104, 89, -47, 2\
4, 36, -7, 61, 4, 8, -8, -36, -39 ], [ -67, -401, -268, -156, -527, 69, 59, -31, 15, 24, -4, 41, 3, 6, -6, -24, -25 ], [ -40, -232, -156, -92, -304, 40, 3\
4, -18, 8, 14, -2, 24, 2, 4, -4, -14, -14 ], [ -129, -796, -527, -304, -1054, 139, 121, -61, 33, 48, -8, 83, 5, 10, -10, -48, -51 ], [ 17, 104, 69, 40, 13\
9, -20, -19, 7, -4, -7, -1, -14, -1, -2, 2, 6, 6 ], [ 14, 89, 59, 34, 121, -19, -24, 2, -4, -6, -4, -16, -2, -2, 0, 4, 4 ], [ -8, -47, -31, -18, -61, 7, 2\
, -8, 2, 3, -3, 2, -1, 0, -2, -4, -4 ], [ 3, 24, 15, 8, 33, -4, -4, 2, -4, 0, 2, 0, 1, 2, -2, 2, 2 ], [ 6, 36, 24, 14, 48, -7, -6, 3, 0, -4, -1, -6, -1, -\
2, 2, 2, 2 ], [ -1, -7, -4, -2, -8, -1, -4, -3, 2, -1, -6, -6, -1, -2, 2, -2, -2 ], [ 10, 61, 41, 24, 83, -14, -16, 2, 0, -6, -6, -16, -2, -4, 4, 2, 2 ], \
[ 1, 4, 3, 2, 5, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0, 0 ], [ 2, 8, 6, 4, 10, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0, 0 ], [ -2, -8, -6, -4, -10, 2, 0,\
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, 0, 0, -2, -4 ] ], GramQperp := [ [ -8, 0, -4, 8, -2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 8, -2, 0, 0, 0, 0 ], [ 8, 0, 8, -12, 4, \
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 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 0,\
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 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ] ], adjweyl := [ 3, 3, 1, 1, -4, -5, 4, 4, 9, -2, -3, -2, -4, -2, -6, 3, 1, -1, -2, -20, 10, 13, 8, 9, 11, 6 ], e\
mbQ := [ [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 1 ], [ 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 0, -2, 4, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 ], [\
 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -2, 0, 3, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, 0, -\
2, 2, 1, 1, 1, 3, 0 ], [ 1, 1, 1, 1, -5, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, 0, 4, -4, -2, -2, -2, -3, -1 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1,\
 -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -2, 2, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, \
2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 2, -2, -2, 2, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 2, 2, 0, 2 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 1, -2, \
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-1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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-1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1,\
 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0\
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, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0,\
 1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ]\
, theg := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, \
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0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, -3, 0, -3, 0, 3, 0, 0, -12, 6, 6, 6, 6, 6, 3 ], [ 0, \
2, -2, 1, 0, 0, 0, 0, 4, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, -8, 4, 5, 3, 3, 4, 2 ], [ 0, 1, -1, 1, 0, 0, 0, 0, 8, 0, -4, 0, -4, 0, -4, 0, 4, 0, 0, -16, 8, 9\
, 7, 7, 8, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 12, 0, -6, 0, -6, 0, -6, 0, 6, 0, 0, -24, 12, 12, 12, 12, 12, 6 ], [ 0, 1, -2, 1, 1, 0, 0, 0, 10, 0, -5, 0, -5, \
0, -5, 0, 5, 0, 0, -20, 10, 11, 9, 9, 10, 5 ], [ 0, 1, -2, 1, 0, 1, 0, 0, 7, 0, -3, 1, -3, 0, -4, 0, 3, 0, 0, -14, 7, 8, 6, 6, 7, 3 ], [ 0, 1, -2, 1, 0, 0\
, 1, 0, 5, 0, -2, 1, -2, 0, -3, 0, 2, 0, -1, -10, 5, 6, 4, 4, 5, 2 ], [ 0, 1, -2, 1, 0, 0, 0, 1, 3, 0, -1, 1, -1, 0, -2, 0, 1, -1, 0, -6, 3, 4, 2, 2, 3, 1\
 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -2, 1, 2, 0, 0, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, -2\
, 2, 4, 0, 0, 2, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, -\
1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 0, 2, 0, 0, -1, -1, -1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, -2, 0, 2, 2, 2, 0, 1, 0, -2, 0, 0, 4, -2, -1, -3, -3, -2, -2 ], [ \
0, 1, -2, 1, 0, 0, 0, 0, 2, 0, -1, 0, -1, -2, 0, 1, -1, 0, 0, -4, 3, 3, 2, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
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-1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, -3, 2, 3, 1, 1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1 ], [ 0, 1, -2, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] \
] ), rec( GramQ := [ [ -938, -656, -284, -848, -425, -984, -117, -142, 12, -37, -40, -31, -108, 3, 0, 6, 46 ], [ -656, -460, -200, -594, -298, -688, -82, \
-100, 8, -26, -28, -22, -76, 2, 0, 4, 32 ], [ -284, -200, -96, -266, -137, -290, -30, -38, 2, -12, -10, -8, -28, 2, 2, 0, 12 ], [ -848, -594, -266, -776, \
-393, -882, -100, -122, 10, -34, -34, -26, -92, 4, 2, 4, 40 ], [ -425, -298, -137, -393, -202, -439, -47, -56, 6, -17, -16, -11, -42, 3, 2, 2, 20 ], [ -98\
4, -688, -290, -882, -439, -1040, -128, -154, 14, -38, -44, -34, -118, 2, -2, 8, 50 ], [ -117, -82, -30, -100, -47, -128, -20, -25, 1, -4, -7, -7, -20, -1\
, -2, 2, 6 ], [ -142, -100, -38, -122, -56, -154, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 12, 8, 2, 10, 6, 14, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2\
, -2 ], [ -37, -26, -12, -34, -17, -38, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -40, -28, -10, -34, -16, -44, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], \
[ -31, -22, -8, -26, -11, -34, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -108, -76, -28, -92, -42, -118, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 \
], [ 3, 2, 2, 4, 3, 2, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 0, 0, 2, 2, 2, -2, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ 6, 4, 0, 4, 2, 8, 2, 0,\
 -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 46, 32, 12, 40, 20, 50, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -8, 0, -4, -20, 4, 2, 0, 0 ], [ -8\
, -12, 2, -6, -20, 4, 2, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ -4, -6, 2, -8, -16, 4, 2, 0, 0 ], [ -20, -20, 0, -16, -52, 10, 6, 0, 0 ], [ 4, 4, 0, 4,\
 10, -4, 0, 0, 0 ], [ 2, 2, 0, 2, 6, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1,\
 0 ], [ 0, 1, 0, 2, -3, -1, 2, 0, -1, -1, -1, 0, -2, 1, 0, -1, 1 ], [ 1, 0, 1, 0, -1, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ] ], adjweyl \
:= [ 3, 3, 3, 4, -9, -8, 8, 4, 13, -2, -4, -3, -5, -2, -9, 3, 2, -1, -4, -26, 10, 19, 12, 10, 18, 9 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 3, -19 ], [ 0, 1, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 2, -13 ], [ 0, 0, 1, 0, 0, 0, -\
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -1, 1, -6 ], [ 0, 0, 0, 1, 0, 2, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -3, -2, 3, -17 ], [ \
0, 0, 0, 0, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -1, 1, -9 ], [ 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, \
-1, 0, 3, -19 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 1 ] ], embQperp := [ [ -1, 0, 2, 0, -2, 3, -4, 2, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 2, 2, 0, -4, 2, 0, -4, 0 ], [ 0, -1, 2, 1, -4, 4, -4, 2, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, -1, 2, 0, 2, -1, 5, 4, -2, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, 0, 0, -2, \
3, -4, 2, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 2, 2, 0, -3, 0, 1, -4, -1 ], [ 0, 0, 2, 2, -6, 8, -12, 6, 0, 0, 2, 2, 2, 0, 0, 0, -2, -3, 6, 4, 2, -8, 6, 4, -8,\
 0 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1\
, 0, -2, 2, -2, -2, 2, 0 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, -2, 3, 0, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 2, -1, -2, 2, 0, 0, 2, -3, 0, -1, -1, 0, -3 ] ], r := [ 8, 5, 11, 17, 16, 12, 8, 6, 4, 2 ], rlifts := [ [ 0, 1, 0, 2, -3, -1, 2, 0, 2, 0, -1, -1, -1, 0\
, -2, 0, 1, 0, -1, -4, 1, 4, 2, 1, 4, 2 ], [ 1, 0, 1, 0, -1, -2, 2, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -2, -1, 2, 0, 0, 2, 0 ] ], rootsQ := [ [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, -1, 0, -2, 3, 1, -2, 0, 1, 1, 1, 0, 2, -1, 0, 1, -1 ], [ 0, 1, 0, 2, -3, -1, 2, 0, -1, -1, -\
1, 0, -2, 1, 0, -1, 1 ], [ -1, 0, -1, 0, 1, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 1, 0, 1, 0, -1, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1\
, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -\
1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ],\
 [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 9, 5, 11,\
 17, 16, 12, 8, 6, 4, 2 ], [ 8, 6, 11, 17, 16, 12, 8, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 11, 18, 16, 12, 8, 6, 4, 2 ], [ -24, -15, -33, \
-51, -47, -36, -24, -18, -12, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 16, 10, 22, 34, 32, 24, 17, 12, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 7, 8, 6, 16, -30, -20, 28, 0, 34, 0, -11, -8, -11, 0, -25, 0, 11, 0, -14, -\
56, 8, 50, 22, 14, 50, 19 ], [ 3, 6, 3, 10, -18, -11, 16, 0, 20, 0, -7, -5, -7, 0, -15, 0, 7, 0, -8, -34, 6, 30, 14, 9, 30, 12 ], [ 8, 11, 9, 22, -41, -27\
, 38, 0, 46, 0, -15, -11, -15, 0, -34, 0, 15, 0, -19, -76, 11, 68, 30, 19, 68, 26 ], [ 12, 16, 12, 33, -60, -40, 56, 0, 68, 0, -22, -16, -22, 0, -50, 0, 2\
2, 0, -28, -112, 16, 100, 44, 28, 100, 38 ], [ 10, 15, 10, 30, -54, -35, 50, 0, 60, 0, -20, -15, -20, 0, -45, 0, 20, 0, -25, -100, 15, 90, 40, 25, 90, 35 \
], [ 8, 12, 8, 24, -44, -27, 40, 0, 47, 0, -15, -11, -15, 0, -36, 0, 15, 0, -20, -78, 11, 71, 31, 19, 71, 27 ], [ 4, 8, 4, 16, -28, -16, 25, 0, 29, 0, -10\
, -7, -10, 0, -23, 0, 10, 0, -13, -50, 9, 45, 21, 13, 45, 18 ], [ 3, 6, 3, 12, -21, -12, 18, 1, 21, 0, -7, -5, -7, 0, -17, 0, 7, -1, -9, -36, 6, 33, 15, 9\
, 33, 13 ], [ 0, 3, 0, 6, -9, -3, 6, 0, 8, 0, -3, -2, -3, 0, -7, 0, 3, 0, -3, -14, 4, 13, 7, 4, 13, 6 ], [ -1, 3, -1, 6, -8, -1, 4, 0, 6, -1, -3, -2, -3, \
-1, -5, 1, 2, 0, -2, -12, 6, 12, 8, 5, 12, 6 ], [ -2, 0, -2, 0, 2, 4, -4, 0, -4, 0, 0, 0, 1, 0, 2, 0, -1, 0, 2, 4, 3, -4, 1, 1, -4, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 \
], [ -2, 0, -2, 0, 2, 4, -4, 0, -5, 0, 1, 1, 1, -1, 3, 0, -1, 0, 2, 6, 2, -5, 0, 0, -5, 0 ], [ -2, 0, -2, 0, 2, 4, -4, 0, -6, 0, 2, 2, 2, 0, 3, 0, -2, 0, \
2, 8, 0, -6, -2, -2, -6, -2 ], [ 0, 2, 0, 4, -6, -2, 4, 0, 6, 0, -3, -2, -3, -2, -4, 1, 1, 0, -2, -12, 5, 10, 7, 5, 10, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 4, -6, -2, 4, 0, 6, 0, -3, -2, -3, 0, -5, 0, 3, 0, -2, -11, 4, 10, 6, 4, 10, \
5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 2, -3, -1, 2, 0, 2, 0, -1, -1, -1, 0, -2, 0, 1, 0, -1, -\
4, 1, 5, 2, 1, 4, 2 ], [ -1, 0, -1, 0, 1, 2, -2, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, -2, 1, 0, -2, 0 ], [ -1, 0, -1, 0, 1, 2, -2, 0, -2, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 1, 2, 1, -2, 0, 1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -54, -111, -110, -63, -151, -42, 4, 4, 0, -7, 4, 5, 8, 7, 10, -4, 0 ], [ -111\
, -416, -322, -183, -575, -55, 66, 80, -4, 0, 28, 28, 72, 16, 24, -12, -20 ], [ -110, -322, -274, -156, -442, -70, 37, 44, -2, -7, 18, 19, 44, 15, 22, -10\
, -10 ], [ -63, -183, -156, -90, -250, -39, 21, 24, -2, -4, 10, 10, 24, 8, 12, -6, -6 ], [ -151, -575, -442, -250, -800, -75, 94, 116, -4, 1, 40, 41, 104,\
 23, 34, -16, -28 ], [ -42, -55, -70, -39, -75, -40, -7, -8, 2, -8, 0, 2, -2, 6, 8, -2, 4 ], [ 4, 66, 37, 21, 94, -7, -20, -25, 1, -4, -7, -7, -20, -1, -2\
, 2, 6 ], [ 4, 80, 44, 24, 116, -8, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 0, -4, -2, -2, -4, 2, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -7,\
 0, -7, -4, 1, -8, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ 4, 28, 18, 10, 40, 0, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 5, 28, 19, 10, 41, 2, -7, -\
10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 8, 72, 44, 24, 104, -2, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 7, 16, 15, 8, 23, 6, -1, -2, -1, 1, -1,\
 -1, -2, -2, -2, 0, 0 ], [ 10, 24, 22, 12, 34, 8, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -4, -12, -10, -6, -16, -2, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, \
0 ], [ 0, -20, -10, -6, -28, 4, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -8, -8, 4, -20, 2, 4, 4, -2 ], [ -8, -12, -6, 2, -20, 2, 4, 4\
, -2 ], [ -8, -6, -12, 4, -20, 2, 4, 4, -2 ], [ 4, 2, 4, -4, 4, 0, 0, 0, 0 ], [ -20, -20, -20, 4, -52, 4, 12, 12, -6 ], [ 2, 2, 2, 0, 4, -4, 2, 0, 0 ], [ \
4, 4, 4, 0, 12, 2, -8, -2, 2 ], [ 4, 4, 4, 0, 12, 0, -2, -8, 4 ], [ -2, -2, -2, 0, -6, 0, 2, 4, -4 ] ], Sigma := [ [ 0, 2, 0, 1, -2, 0, 2, 0, -1, -1, -1, \
-1, -2, 0, -1, -1, 3 ], [ 2, 0, 1, 0, -1, -2, 2, 0, -1, -1, -1, -1, -2, 0, -1, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, \
1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 4, 4\
, 3, 3, -9, -9, 8, 8, 13, -2, -5, -4, -6, -4, -10, 5, 1, -3, -4, -32, 16, 20, 15, 14, 18, 12 ], embQ := [ [ 1, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 4, 0, 0, -1, -1, 1, -3 ], [ 0, 1, 0, 0, 2, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 12, 0, -1, -4, -3, 0, 1 ], [ 0, 0, 1, 0, 1, 1, -4, -\
4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 10, 0, -1, -3, -2, 1, -2 ], [ 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 6, 0, 0, -2, -2, 1, -1 ], [\
 0, 0, 0, 0, 3, 1, -6, -6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 16, 0, -2, -4, -3, 0, 2 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0\
, 0, 0, 0, 1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 2, 0, -2, 1, 0, 0, 0, 0, 1, 1, 1, 2, -1, -2, 1, 0, 0, 4, -5, -2, -1, -3, -2, -3 ], [ 0, -1, 2, 1, -4, 2, 0, 0, 0, \
0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 2, -3, 1, 2, 1, 0, -2 ], [ 0, -1, 0, 2, -3, 1, 0, 0, 0, 0, 1, 1, 1, 2, -1, -2, 1, 0, 0, 4, -5, -1, 0, -2, 1, -3 ], [ 1, 1,\
 -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 2, 2, -6, 2, 0, 0, 0, 0, 2, 2, 2, 6, -3, -6, 4, 0, 0, 10, -13, -2,\
 -3, -5, -2, -9 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, -2, 1, 2, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -2, \
1, 2, -2, -1, 2, -2, 5, -2, 3, 3, -2, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 1, 2, -2, 2, -1, -2, 1, 2, -1, -1, 2, 3 ], [ 1, 0, 0, 0, 0, -1, 0\
, 2, -2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1 ] ], r := [ 13, 8, 17, 27, 24, 18, 12, 8, 6, 2 ], rlifts := [ [ 2, 0, 1, 0, -2, -2, 2, 2, 2,\
 0, -1, -1, -1, -1, -2, 1, 0, -1, -1, -6, 3, 3, 3, 3, 3, 2 ], [ 0, 2, 0, 1, -2, -2, 2, 2, 2, 0, -1, -1, -1, -1, -2, 1, 0, -1, -1, -6, 3, 4, 2, 2, 3, 3 ] ]\
, rootsQ := [ [ 0, -2, 0, -1, 2, 0, -2, 0, 1, 1, 1, 1, 2, 0, 1, 1, -3 ], [ 0, 2, 0, 1, -2, 0, 2, 0, -1, -1, -1, -1, -2, 0, -1, -1, 3 ], [ -2, 0, -1, 0, 1,\
 2, -2, 0, 1, 1, 1, 1, 2, 0, 1, 1, -3 ], [ 2, 0, 1, 0, -1, -2, 2, 0, -1, -1, -1, -1, -2, 0, -1, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1\
, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [\
 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0\
, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0,\
 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, \
0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "\
A3" ], theg := [ [ 14, 8, 17, 27, 24, 18, 12, 8, 6, 2 ], [ 13, 9, 17, 27, 24, 18, 12, 8, 6, 2 ], [ 13, 8, 18, 27, 24, 18, 12, 8, 6, 2 ], [ 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0 ], [ -39, -24, -51, -81, -71, -54, -36, -24, -18, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 26, 16, 34, 54, 48, 36, 25, 16, 12, 4 ], [ 26, 1\
6, 34, 54, 48, 36, 24, 17, 12, 4 ], [ -26, -16, -34, -54, -48, -36, -24, -16, -11, -4 ], [ 26, 16, 34, 54, 48, 36, 24, 16, 12, 5 ] ], thegtilde := [ [ 23,\
 22, 11, 11, -44, -44, 44, 44, 50, 0, -25, -22, -25, -22, -47, 22, 3, -22, -22, -144, 72, 83, 61, 61, 72, 58 ], [ 16, 15, 8, 7, -30, -30, 30, 30, 34, 0, -\
17, -15, -17, -15, -32, 15, 2, -15, -15, -98, 49, 56, 42, 42, 49, 39 ], [ 32, 28, 17, 14, -60, -60, 60, 60, 68, 0, -34, -30, -34, -30, -64, 30, 4, -30, -3\
0, -196, 98, 112, 84, 84, 98, 78 ], [ 46, 46, 23, 24, -92, -92, 92, 92, 104, 0, -52, -46, -52, -46, -98, 46, 6, -46, -46, -300, 150, 173, 127, 127, 150, 1\
21 ], [ 42, 38, 21, 19, -79, -80, 80, 80, 90, 0, -45, -40, -45, -40, -85, 40, 5, -40, -40, -260, 130, 149, 111, 111, 130, 104 ], [ 34, 28, 17, 14, -62, -6\
1, 62, 62, 69, 0, -34, -30, -34, -31, -66, 31, 3, -31, -31, -200, 100, 114, 86, 86, 100, 79 ], [ 22, 22, 11, 11, -44, -44, 45, 44, 49, 0, -24, -21, -24, -\
22, -47, 22, 2, -22, -23, -142, 71, 82, 60, 60, 71, 57 ], [ 16, 10, 8, 5, -26, -26, 26, 27, 29, 0, -14, -12, -14, -13, -28, 13, 1, -14, -13, -84, 42, 47, \
37, 37, 42, 32 ], [ 8, 8, 4, 4, -16, -16, 16, 16, 18, 0, -8, -7, -8, -8, -17, 8, 0, -8, -8, -50, 25, 29, 21, 21, 25, 20 ], [ 8, 4, 4, 2, -12, -12, 12, 12,\
 14, -1, -6, -5, -6, -7, -12, 7, -1, -6, -6, -38, 20, 22, 18, 18, 20, 14 ], [ 0, 2, 0, 1, -2, -2, 2, 2, 2, 0, -1, -1, 0, -1, -2, 1, -1, -1, -1, -6, 4, 4, \
3, 3, 3, 3 ], [ 0, -2, 0, -1, 2, 2, -2, -2, -3, 0, 1, 1, 1, 1, 3, -1, 0, 1, 1, 8, -4, -5, -3, -3, -4, -3 ], [ 0, -2, 0, -1, 2, 2, -2, -2, -2, 0, 2, 1, 1, \
1, 2, -1, -1, 1, 1, 6, -4, -4, -3, -3, -3, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 0, 2, 0, -1, 0, 0, -1, 0 ], [ 0, -2, 0, -1, 2,\
 2, -2, -2, -4, 0, 3, 3, 3, 1, 3, -1, -2, 1, 1, 10, -5, -6, -4, -4, -5, -5 ], [ 4, 2, 2, 1, -6, -6, 6, 6, 8, 0, -4, -3, -4, -5, -6, 4, -1, -3, -3, -22, 12\
, 12, 11, 11, 11, 9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 3, 2, -10, -10, 10, 10, 12, \
0, -6, -5, -6, -5, -11, 5, 1, -5, -5, -33, 17, 19, 15, 15, 17, 13 ], [ 0, 2, 0, 1, -2, -2, 2, 2, 2, 0, -1, -1, -1, -1, -2, 1, 0, -1, -1, -6, 4, 4, 2, 2, 3\
, 3 ], [ 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1 ], [ 0, 2, 0, 1, -2, -2, 2, 2, 2, 0, -1, -1, -1, -1, -2, 1, 0, -1\
, -1, -6, 3, 4, 3, 2, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1 ], [ 0, -2, 0, -1, 2, 2, -2, -2, -2, 0, 1, 1, 1, 1, 2, -1, 0, 1, 1, 6, -3, -4, -2, -2, -3, -2 ] ] ), rec( GramQ :\
= [ [ -212, -138, -94, -236, -162, -186, 24, 29, 0, -10, 14, 17, 36, 12, 21, -12, -2 ], [ -138, -92, -62, -152, -100, -122, 12, 14, 0, -8, 8, 10, 20, 8, 1\
4, -8, 0 ], [ -94, -62, -50, -114, -84, -76, 17, 19, -2, -3, 8, 8, 20, 5, 9, -6, -4 ], [ -236, -152, -114, -278, -206, -198, 41, 49, -2, -7, 20, 22, 52, 1\
3, 23, -14, -8 ], [ -162, -100, -84, -206, -174, -128, 47, 58, -2, 1, 20, 21, 54, 9, 16, -10, -12 ], [ -186, -122, -76, -198, -128, -170, 13, 17, 2, -11, \
10, 14, 26, 11, 19, -10, 2 ], [ 24, 12, 17, 41, 47, 13, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 29, 14, 19, 49, 58, 17, -25, -36, -2, -6, -8, -10,\
 -26, -2, -2, 0, 6 ], [ 0, 0, -2, -2, -2, 2, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -10, -8, -3, -7, 1, -11, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [\
 14, 8, 8, 20, 20, 10, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 17, 10, 8, 22, 21, 14, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ 36, 20, 20, 52, 5\
4, 26, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 12, 8, 5, 13, 9, 11, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 21, 14, 9, 23, 16, 19, -2, -2, 0\
, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -12, -8, -6, -14, -10, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -2, 0, -4, -8, -12, 2, 6, 6, -2, 2, 2, 0, 4, 0, 0, \
0, -4 ] ], GramQperp := [ [ -20, 0, 0, 2, 16, 0, -8, -12, 4 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, \
0 ], [ 16, 0, 0, 2, -20, 2, 8, 12, -4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -8, 0, 0, 0, 8, 2, -8, -4, 2 ], [ -12, 0, 0, 0, 12, 0, -4, -12, 4 ], [ 4, 0, 0,\
 0, -4, 0, 2, 4, -4 ] ], Sigma := [ [ 1, 0, 0, 1, -2, -1, 1, 0, -1, -1, -1, 0, -2, 2, -2, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, \
0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjwey\
l := [ 6, 2, 2, 6, -13, -9, 8, 12, 13, -2, -7, -6, -8, -2, -14, 3, 5, -5, -4, -36, 18, 25, 22, 21, 24, 11 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -3, -6, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, -2, -4, 0, -1 ], [ 0, 1, 0, 0, 0, 2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2, -3, 0, -1 ], [ 0, 0, 1, 0,\
 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2, -2, 0, 0 ], [ 0, 0, 0, 1, 0, 2, -3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -2, -3, -5, 0\
, 1 ], [ 0, 0, 0, 0, 1, 1, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, -2, -3, -1, 3 ], [ 0, 0, 0, 0, 0, 4, -3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 4, 0, -2, -1, -3, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, \
0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ 1, 0, 1, -1, 1, -2, 0, 4, -4, 0, 0, 0, 0, -2, 2, 2, -2, -2, 0, -4, 6, -1, 4, 3, -1, 4 ], [ 0, -1, 1, 0, -1, 1, 0\
, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1,\
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1, 0, 0, 0 ], [ -2, 0, 0, -2, 4, 2, -2, -4, -2, 0, 2, 2, 2, 0, 4, 0, -2, 2, 1, 8, -4, -6, -6, -5, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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3, -52, -32, -74, -37, -68, -5, -6, 1, -5, -1, 0, -4, 4, 4, 0, 2 ], [ -215, -150, -74, -200, -93, -216, -25, -26, 7, -13, -7, -2, -20, 10, 8, 4, 10 ], [ -\
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2, -32, -5, -25, 3, -53, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -46, -36, -6, -26, 8, -58, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ 9, 6\
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-7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -7, -6, 0, -2, 5, -10, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -36, -28, -4, -20, 6, -46, -20, -26, 0, \
-2, -8, -10, -24, -2, -4, 4, 4 ], [ 9, 6, 4, 10, 7, 8, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 6, 4, 4, 8, 6, 4, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2,\
 0 ], [ 6, 4, 0, 4, 2, 8, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 16, 12, 2, 10, 0, 20, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, \
2, 4, 0, -4, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 2, 4, 0, 0 ], [ 0, \
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8, -6, -12, 7, 1, -1, -6, -40, 20, 29, 20, 19, 28, 17 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 3, 0, -2, 1, -1, 0, -10 ],\
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1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, -1, 1, 0, -1, 3 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, \
3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 1 ] ], r := [ 8, 6, 12, 18, 16, 12, 8, 6, 4, 1 ], rlifts := [ [ 1, 0, 0, 1, -2, -1, 2, 0, 1, 2, -1, -1, -1, -1, -2, 0, 0, 0, -2, -5, 2, 3, 2, 2, 3, 3 ]\
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, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 17, 12, 24, 36, 32, 24, 16, 12, 8, 2 ], [ 0, 1, 0, 0, 0, 0, 0,\
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32, 24, 16, 12, 8, 3 ] ], thegtilde := [ [ 17, 0, 0, 16, -32, -16, 32, 0, 38, 0, -19, -16, -19, -16, -27, 16, 3, 0, -16, -92, 46, 70, 46, 46, 70, 43 ], [ \
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8, 43, 26 ], [ 4, 0, 0, 4, -8, -4, 8, 0, 10, 0, -4, -3, -4, -4, -7, 4, 0, 0, -4, -22, 11, 17, 11, 11, 17, 10 ], [ 1, 0, 0, 1, -2, -1, 2, 0, 4, -1, -1, 0, \
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1, 0, 0 ], [ -2, 0, 0, -2, 4, 2, -4, 0, -5, 0, 3, 3, 3, 3, 3, -2, -1, 0, 2, 12, -6, -9, -6, -6, -9, -6 ], [ -2, 0, 0, -2, 4, 2, -4, 0, -6, 0, 4, 4, 4, 2, \
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, 7, 7, 10, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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2, 3, -2, 0, 0, 2, 10, -5, -8, -5, -4, -8, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -142, -466, -376, -268, -540, -147, -34, -46, 0, -17, -9, -8, -30, 5, 7, \
-3, 12 ], [ -466, -1556, -1250, -886, -1810, -474, -100, -136, 0, -56, -24, -20, -84, 20, 28, -12, 36 ], [ -376, -1250, -1006, -714, -1452, -385, -84, -11\
4, 0, -45, -21, -18, -72, 15, 21, -9, 30 ], [ -268, -886, -714, -508, -1028, -276, -62, -84, 0, -32, -16, -14, -54, 10, 14, -6, 22 ], [ -540, -1810, -1452\
, -1028, -2110, -545, -110, -150, 0, -65, -25, -20, -90, 25, 35, -15, 40 ], [ -147, -474, -385, -276, -545, -162, -45, -58, 2, -18, -13, -11, -40, 4, 5, -\
1, 16 ], [ -34, -100, -84, -62, -110, -45, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ -46, -136, -114, -84, -150, -58, -25, -36, -2, -6, -8, -10, -26\
, -2, -2, 0, 6 ], [ 0, 0, 0, 0, 0, 2, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -17, -56, -45, -32, -65, -18, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -\
9, -24, -21, -16, -25, -13, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -8, -20, -18, -14, -20, -11, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -30, -\
84, -72, -54, -90, -40, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 5, 20, 15, 10, 25, 4, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 7, 28, 21, 14,\
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 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, -4, 2, 8, -2, -2, -2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 2, 8, -2, -2, -2, 0 ], [ 2, 0, \
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, -4, -2 ], [ 0, 0, 0, 0, 0, -6, -6, -2, -12 ] ], Sigma := [ [ 1, 1, 1, 1, -2, -1, 3, 0, -1, -1, -1, -1, -2, 1, -1, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1,\
 0, 0, 0, 1, 0 ] ], adjweyl := [ 6, 6, 6, 6, -17, -9, 8, 8, 21, -2, -7, -6, -8, -6, -14, 7, 1, -3, -4, -44, 22, 29, 22, 21, 24, 19 ], embQ := [ [ 1, 0, 0,\
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7, 10, -25 ], [ 0, 0, 1, 0, 1, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 6, 0, 2, -6, -5, 8, -20 ], [ 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 0, 0, -2, 3, -1, 1, 0, \
-1, 3 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, 3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2,\
 0, 0, -2, 3, 0, 2, 1, 2, 3 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, \
1, 1, 4, -2, -4, 3, 0, 0, 6, -8, -1, -2, -3, -1, -6 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -2, 0, -1, -1, -1, -1, 1, 1, 0, -1, -1, -4, 4, 2, 2, 2, 2, 3 ], [ 1, 0, \
0, 0, 0, 1, -4, 4, -2, 0, 0, 0, 0, -1, 1, 1, -1, -2, 2, -2, 5, -2, 4, 4, -2, 2 ], [ 1, 0, 0, 0, 0, -1, 2, -2, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, -2, 1, 2\
, 0, 0, 2, 2 ], [ 2, 0, 0, 0, 0, -2, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, -2, 3, 0, 3, 3, 0, 1 ] ], r := [ 12, 8, 16, 26, 24, 18, 13, 9, 6, 2 ], rlift\
s := [ [ 1, 1, 1, 1, -3, -1, 1, 1, 3, 0, -1, -1, -1, -1, -2, 1, 1, -1, -1, -6, 3, 4, 3, 3, 3, 3 ] ], rootsQ := [ [ -1, -1, -1, -1, 2, 1, -3, 0, 1, 1, 1, 1\
, 2, 0, 1, 1, -3 ], [ 1, 1, 1, 1, -2, -1, 3, 0, -1, -1, -1, -1, -2, 0, -1, -1, 3 ], [ -1, -1, -1, -1, 2, 1, -3, 0, 1, 1, 1, 1, 2, -1, 1, 1, -3 ], [ 1, 1, \
1, 1, -2, -1, 3, 0, -1, -1, -1, -1, -2, 1, -1, -1, 3 ], [ -1, -1, -1, -1, 2, 1, -3, 0, 1, 1, 1, 1, 2, 1, 0, 0, -3 ], [ 1, 1, 1, 1, -2, -1, 3, 0, -1, -1, -\
1, -1, -2, -1, 0, 0, 3 ], [ -1, -1, -1, -1, 2, 1, -3, 0, 1, 1, 1, 1, 2, 0, 0, 0, -3 ], [ 1, 1, 1, 1, -2, -1, 3, 0, -1, -1, -1, -1, -2, 0, 0, 0, 3 ], [ 0, \
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, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0,\
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0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1\
, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1",\
 "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 25, 16, 32, 52, 48, 36, 26, 18, 12, 4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 16, 33, 52, 48, 36, 26, 18, \
12, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -48, -32, -64, -104, -95, -72, -52, -36, -24, -8 ], [ 12, 8, 16, 26, 24, 19, 13, 9, 6, 2 ], [ 12, 8, 16, 26, \
24, 18, 14, 9, 6, 2 ], [ 12, 8, 16, 26, 24, 18, 13, 10, 6, 2 ], [ -12, -8, -16, -26, -24, -18, -13, -9, -5, -2 ], [ 24, 16, 32, 52, 48, 36, 26, 18, 12, 5 \
] ], thegtilde := [ [ 23, 22, 22, 22, -66, -22, 22, 22, 72, 0, -25, -22, -25, -22, -47, 22, 3, -11, -11, -144, 72, 94, 72, 72, 72, 69 ], [ 14, 15, 14, 14,\
 -42, -14, 14, 14, 46, 0, -16, -14, -16, -14, -30, 14, 2, -7, -7, -92, 46, 60, 46, 46, 46, 44 ], [ 30, 30, 31, 30, -90, -30, 30, 30, 98, 0, -34, -30, -34,\
 -30, -64, 30, 4, -15, -15, -196, 98, 128, 98, 98, 98, 94 ], [ 44, 44, 44, 45, -132, -44, 44, 44, 144, 0, -50, -44, -50, -44, -94, 44, 6, -22, -22, -288, \
144, 188, 144, 144, 144, 138 ], [ 40, 40, 40, 40, -119, -40, 40, 40, 130, 0, -45, -40, -45, -40, -85, 40, 5, -20, -20, -260, 130, 170, 130, 130, 130, 125 \
], [ 32, 32, 32, 32, -96, -31, 32, 32, 103, 0, -35, -31, -35, -32, -68, 32, 3, -16, -16, -206, 103, 135, 103, 103, 103, 99 ], [ 21, 21, 21, 21, -63, -21, \
22, 21, 68, 0, -23, -20, -23, -21, -45, 21, 2, -10, -11, -136, 68, 89, 68, 68, 68, 65 ], [ 15, 15, 15, 15, -45, -15, 15, 16, 48, 0, -16, -14, -16, -15, -3\
2, 15, 1, -8, -7, -96, 48, 63, 48, 48, 48, 46 ], [ 6, 6, 6, 6, -18, -6, 6, 6, 20, 0, -6, -5, -6, -6, -13, 6, 0, -3, -3, -38, 19, 25, 19, 19, 19, 18 ], [ 4\
, 4, 4, 4, -12, -4, 4, 4, 14, -1, -4, -3, -4, -5, -8, 5, -1, -1, -1, -26, 14, 18, 14, 14, 14, 12 ], [ -2, -2, -2, -2, 6, 2, -2, -2, -6, 0, 2, 2, 3, 2, 4, \
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, -6 ], [ -2, -2, -2, -2, 6, 2, -2, -2, -8, 0, 4, 4, 4, 2, 5, -2, -2, 1, 1, 16, -8, -10, -8, -8, -8, -8 ], [ 2, 2, 2, 2, -6, -2, 2, 2, 8, 0, -3, -2, -3, -\
4, -4, 3, -1, 0, 0, -16, 9, 10, 9, 9, 8, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 4, 4, 4, -\
12, -4, 4, 4, 14, 0, -5, -4, -5, -4, -9, 4, 1, -2, -2, -27, 14, 18, 14, 14, 14, 13 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0 ], [ -2, -2, -2, -2, 6, 2, -2, -2, -6, 0, 2, 2, 2, 2, 4, -2, 0, 1, 1, 12, -6, -8, -6, -5, -6, -6 ], [ 2, 2, 2, 2, -6, -2, 2, 2, 6, 0,\
 -2, -2, -2, -2, -4, 2, 0, -1, -1, -12, 6, 8, 6, 6, 7, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( Gra\
mQ := [ [ -636, -444, -267, -707, -509, -571, 49, 50, -10, -7, 22, 15, 47, 17, 26, -12, -20 ], [ -444, -312, -186, -496, -362, -398, 37, 40, -6, -4, 16, 1\
2, 36, 12, 18, -8, -14 ], [ -267, -186, -116, -296, -207, -240, 17, 14, -6, -4, 8, 4, 15, 6, 10, -6, -8 ], [ -707, -496, -296, -796, -591, -630, 66, 70, -\
12, -4, 28, 20, 63, 18, 28, -14, -26 ], [ -509, -362, -207, -591, -478, -445, 72, 84, -8, 5, 28, 23, 70, 13, 20, -10, -26 ], [ -571, -398, -240, -630, -44\
5, -516, 38, 38, -8, -8, 18, 12, 37, 16, 24, -10, -16 ], [ 49, 37, 17, 66, 72, 38, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2, 6 ], [ 50, 40, 14, 70, 84, 38,\
 -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -10, -6, -6, -12, -8, -8, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ], [ -7, -4, -4, -4, 5, -8, -4, -6, 0, \
-4, 0, 0, -2, 1, 2, -2, 2 ], [ 22, 16, 8, 28, 28, 18, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ 15, 12, 4, 20, 23, 12, -7, -10, -1, 0, -3, -6, -10, -1, \
-2, 2, 0 ], [ 47, 36, 15, 63, 70, 37, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 17, 12, 6, 18, 13, 16, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [\
 26, 18, 10, 28, 20, 24, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -12, -8, -6, -14, -10, -10, 2, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ -20, -14, -8, -26\
, -26, -16, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, -16, 2, 24, 8, -16, -16, 12 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -16, 2, -20, \
2, 24, 8, -16, -16, 12 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 24, 0, 24, 2, -40, -10, 24, 24, -18 ], [ 8, 0, 8, 0, -10, -8, 10, 8, -6 ], [ -16, 0, -16, 0, 2\
4, 10, -20, -14, 12 ], [ -16, 0, -16, 0, 24, 8, -14, -20, 14 ], [ 12, 0, 12, 0, -18, -6, 12, 14, -12 ] ], Sigma := [ [ 1, 1, 1, 1, -2, -2, 1, 0, -1, -1, -\
1, -1, -2, 1, -1, -2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, \
-1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ 6, 6, 6, 6, -13, -17, 12, 12, 17, -2, -9, -8, -10, -4, -14, 5, 5,\
 -5, -6, -48, 24, 33, 24, 23, 28, 19 ], embQ := [ [ 1, 0, 0, 0, 0, 3, -6, -6, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 20, 0, -5, -10, -9, 0, -5 ], [ 0, 1, 0, 0,\
 0, 2, -4, -4, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 14, 0, -3, -7, -6, 0, -3 ], [ 0, 0, 1, 0, 0, 0, -2, -2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 8, 0, -2, -5, -\
4, 0, -2 ], [ 0, 0, 0, 1, 0, 2, -6, -6, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 22, 0, -5, -11, -10, 0, -3 ], [ 0, 0, 0, 0, 1, 1, -4, -4, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 16, 0, -4, -7, -6, -1, 1 ], [ 0, 0, 0, 0, 0, 4, -6, -6, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 18, 0, -5, -9, -8, 0, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, -2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -1, 0, 1, -\
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 4, -4, 0, 0, -4, 6, -1, 2, 1, -1, 6 ], [ 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -2, 2, 2, 3, \
3, 1, 1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 4, -4, 0, 0, -4, 6, 0, 3, 2, 2, 6 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -2, 0, -1, -1 ], [ 0, 0, 1, 1, -3, 1, 0, 0, 0, 0, 1, 1, 1, 6, -3, -6, 5, 0, 0, 8, -11, -1, -3, -4, -1, -9 ], [ -1, 0, 0, 0, 2, -3, 2, 0, 0, \
0, -1, -1, -1, 2, -1, -2, 3, 0, -1, 0, -2, 2, -1, -1, 2, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -4, 2, 4, -4, -1, 2, -4, 8, -2, 4, 4, -2, 6 ], [ \
0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -4, 2, 4, -4, 2, -1, -4, 4, 2, 0, 0, 2, 6 ], [ 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 3, -1, -3, 3, -1, 0, 2, -3\
, 0, 0, 0, 0, -4 ] ], r := [ 12, 8, 16, 26, 24, 19, 13, 9, 7, 3 ], rlifts := [ [ 1, 1, 1, 1, -2, -3, 2, 2, 1, 1, -1, -1, -1, -1, -2, 0, 1, -1, -2, -6, 3, \
4, 3, 3, 3, 3 ] ], rootsQ := [ [ 1, 1, 1, 1, -2, -2, 2, -1, -1, -1, -1, 0, -2, 1, -1, -1, 3 ], [ -1, -1, -1, -1, 2, 2, -2, 1, 1, 1, 1, 0, 2, -1, 1, 1, -3 \
], [ 1, 1, 1, 1, -2, -2, 1, 0, -1, -1, -1, -1, -2, 1, -1, -2, 3 ], [ -1, -1, -1, -1, 2, 2, -1, 0, 1, 1, 1, 1, 2, -1, 1, 2, -3 ], [ 1, 1, 1, 1, -2, -2, 3, \
-1, -2, -2, -2, 0, -2, 1, -1, 0, 4 ], [ -1, -1, -1, -1, 2, 2, -3, 1, 2, 2, 2, 0, 2, -1, 1, 0, -4 ], [ 1, 1, 1, 1, -2, -2, 2, 0, -2, -2, -2, -1, -2, 1, -1,\
 -1, 4 ], [ -1, -1, -1, -1, 2, 2, -2, 0, 2, 2, 2, 1, 2, -1, 1, 1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1\
 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, \
0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0,\
 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
-1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0,\
 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A3", "A3" ], theg := [ [ 25, 16, 32, 52, 48, 38, 26, 18, \
14, 6 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 16, 33, 52, 48, 38, 26, 18, 14, 6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -36, -24, -48, -78, -71, -57, -3\
9, -27, -21, -9 ], [ -12, -8, -16, -26, -24, -18, -13, -9, -7, -3 ], [ 24, 16, 32, 52, 48, 38, 27, 18, 14, 6 ], [ 24, 16, 32, 52, 48, 38, 26, 19, 14, 6 ],\
 [ -24, -16, -32, -52, -48, -38, -26, -18, -13, -6 ], [ 12, 8, 16, 26, 24, 19, 13, 9, 7, 4 ] ], thegtilde := [ [ 26, 25, 25, 25, -50, -75, 50, 50, 56, -3,\
 -39, -36, -39, -11, -53, 14, 28, -25, -25, -184, 92, 131, 92, 92, 106, 75 ], [ 16, 17, 16, 16, -32, -48, 32, 32, 36, -2, -25, -23, -25, -7, -34, 9, 18, -\
16, -16, -118, 59, 84, 59, 59, 68, 48 ], [ 34, 34, 35, 34, -68, -102, 68, 68, 76, -4, -53, -49, -53, -15, -72, 19, 38, -34, -34, -250, 125, 178, 125, 125,\
 144, 102 ], [ 50, 50, 50, 51, -100, -150, 100, 100, 112, -6, -78, -72, -78, -22, -106, 28, 56, -50, -50, -368, 184, 262, 184, 184, 212, 150 ], [ 45, 45, \
45, 45, -89, -135, 90, 90, 100, -5, -70, -65, -70, -20, -95, 25, 50, -45, -45, -330, 165, 235, 165, 165, 190, 135 ], [ 37, 37, 37, 37, -74, -110, 74, 74, \
81, -3, -57, -53, -57, -17, -78, 20, 40, -37, -37, -270, 135, 192, 135, 135, 155, 111 ], [ 24, 24, 24, 24, -48, -72, 49, 48, 53, -2, -37, -34, -37, -11, -\
51, 13, 26, -24, -25, -176, 88, 125, 88, 88, 101, 72 ], [ 17, 17, 17, 17, -34, -51, 34, 35, 37, -1, -26, -24, -26, -8, -36, 9, 18, -18, -17, -124, 62, 88,\
 62, 62, 71, 51 ], [ 8, 8, 8, 8, -16, -24, 16, 16, 18, 0, -12, -11, -12, -4, -17, 4, 8, -8, -8, -58, 29, 41, 29, 29, 33, 24 ], [ 6, 6, 6, 6, -12, -18, 12,\
 12, 14, -1, -9, -8, -9, -4, -12, 4, 5, -6, -6, -44, 23, 32, 23, 23, 26, 18 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -4, 0, 3, 3, 4, 1, 4, -1, -3, 2, 2, 14, -6,\
 -10, -6, -6, -8, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -5, 0, 4, 4, 4, 0, 5, -1, -3, 2, 2, 16, -7, -11, -7, -7, -9, -6 ], [ -2, -2, -\
2, -2, 4, 6, -4, -4, -6, 2, 4, 4, 4, 0, 5, -2, -4, 2, 2, 16, -8, -12, -8, -8, -10, -6 ], [ 4, 4, 4, 4, -8, -12, 8, 8, 10, -2, -6, -5, -6, -3, -8, 4, 3, -4\
, -4, -30, 16, 22, 16, 16, 18, 12 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 5, 5, 5, 5, -10, -15\
, 10, 10, 12, -1, -8, -7, -8, -2, -11, 3, 6, -5, -5, -37, 19, 27, 19, 19, 22, 15 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0 ], [ -2, -2, -2, -2, 4, 6, -4, -4, -4, 0, 3, 3, 3, 1, 4, -1, -2, 2, 2, 14, -7, -10, -7, -6, -8, -6 ], [ 2, 2, 2, 2, -4, -6, 4, 4, 4, 0,\
 -3, -3, -3, -1, -4, 1, 2, -2, -2, -14, 7, 10, 7, 7, 9, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( Gr\
amQ := [ [ -708, -290, -448, -668, -758, -714, -67, -98, -5, -42, -13, -13, -53, 13, 24, -16, 24 ], [ -290, -122, -182, -272, -304, -294, -31, -46, -3, -1\
7, -7, -8, -27, 4, 8, -6, 10 ], [ -448, -182, -296, -436, -500, -442, -31, -48, -4, -26, -4, -4, -22, 10, 18, -12, 12 ], [ -668, -272, -436, -646, -738, -\
662, -50, -78, -7, -39, -7, -8, -37, 14, 26, -18, 18 ], [ -758, -304, -500, -738, -854, -748, -49, -76, -6, -45, -4, -3, -30, 19, 34, -22, 20 ], [ -714, -\
294, -442, -662, -748, -730, -78, -110, -3, -43, -17, -16, -63, 12, 22, -14, 28 ], [ -67, -31, -31, -50, -49, -78, -20, -25, 1, -4, -7, -7, -20, -1, -2, 2\
, 6 ], [ -98, -46, -48, -78, -76, -110, -25, -36, -2, -6, -8, -10, -26, -2, -2, 0, 6 ], [ -5, -3, -4, -7, -6, -3, 1, -2, -4, 0, 1, -1, 0, -1, 0, -2, -2 ],\
 [ -42, -17, -26, -39, -45, -43, -4, -6, 0, -4, 0, 0, -2, 1, 2, -2, 2 ], [ -13, -7, -4, -7, -4, -17, -7, -8, 1, 0, -4, -3, -8, -1, -2, 2, 2 ], [ -13, -8, \
-4, -8, -3, -16, -7, -10, -1, 0, -3, -6, -10, -1, -2, 2, 0 ], [ -53, -27, -22, -37, -30, -63, -20, -26, 0, -2, -8, -10, -24, -2, -4, 4, 4 ], [ 13, 4, 10, \
14, 19, 12, -1, -2, -1, 1, -1, -1, -2, -2, -2, 0, 0 ], [ 24, 8, 18, 26, 34, 22, -2, -2, 0, 2, -2, -2, -4, -2, -4, 2, 0 ], [ -16, -6, -12, -18, -22, -14, 2\
, 0, -2, -2, 2, 2, 4, 0, 2, -4, 0 ], [ 24, 10, 12, 18, 20, 28, 6, 6, -2, 2, 2, 0, 4, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, -16, 0, 2, 24, -8, 0, -16, 4 ]\
, [ -16, -20, 2, 0, 24, -8, 0, -16, 4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 24, 24, 0, 2, -40, 14, 0, 24, -6 ], [ -8, -8, 0\
, 0, 14, -8, 2, -8, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -16, -16, 0, 0, 24, -8, 2, -20, 6 ], [ 4, 4, 0, 0, -6, 2, 0, 6, -4 ] ], Sigma := [ [ 1, 1, 0, 1\
, -2, 0, 1, -1, 0, 0, 0, 0, -2, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0,\
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, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, \
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, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1 ] ], r := [ 10, 6, 14, 22, 20, 16, 11, 8, 6, 2 ], rlifts := [ [ 1, 1, 0, 1, -1,\
 -3, 2, 1, 2, 0, -1, -1, -1, -1, -1, 1, 1, -1, -1, -6, 3, 4, 2, 2, 4, 3 ] ], rootsQ := [ [ -1, -1, 0, -1, 1, 3, -2, 0, 1, 1, 1, 1, 1, 0, 1, 1, -3 ], [ 1, \
1, 0, 1, -1, -3, 2, 0, -1, -1, -1, -1, -1, 0, -1, -1, 3 ], [ -1, -1, 0, -1, 1, 3, -2, 0, 1, 1, 1, 1, 1, -1, 1, 1, -3 ], [ 1, 1, 0, 1, -1, -3, 2, 0, -1, -1\
, -1, -1, -1, 1, -1, -1, 3 ], [ -1, -1, 0, -1, 1, 3, -2, 0, 1, 1, 1, 1, 1, 1, 0, 1, -3 ], [ 1, 1, 0, 1, -1, -3, 2, 0, -1, -1, -1, -1, -1, -1, 0, -1, 3 ], \
[ -1, -1, 0, -1, 1, 3, -2, 0, 1, 1, 1, 1, 1, 0, 0, 1, -3 ], [ 1, 1, 0, 1, -1, -3, 2, 0, -1, -1, -1, -1, -1, 0, 0, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, -1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0\
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A3" ], theg := [ [ 21, 12, 28, 44, 40, 32, 22, 16, 12, 4 ], [ 20, 13, 28, 44, 40, 32, 22, 16, 12, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, \
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de := [ [ 21, 20, 0, 20, -20, -60, 40, 20, 46, 0, -23, -20, -23, -20, -23, 20, 3, -10, -20, -132, 66, 86, 46, 46, 86, 63 ], [ 12, 13, 0, 12, -12, -36, 24,\
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9, 31, 31, 59, 43 ], [ 6, 6, 0, 6, -6, -18, 12, 6, 14, 0, -6, -5, -6, -6, -7, 6, 0, -2, -6, -38, 19, 25, 13, 13, 25, 18 ], [ 4, 4, 0, 4, -4, -12, 8, 4, 10\
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, -4, -2, -6, 0, 4, 4, 4, 2, 3, -2, -2, 3, 2, 16, -8, -10, -6, -6, -10, -8 ], [ 2, 2, 0, 2, -2, -6, 4, 2, 6, 0, -3, -2, -3, -4, -2, 3, -1, 0, -2, -16, 9, \
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-4, -5, -4, -5, 4, 1, -2, -4, -27, 14, 18, 10, 10, 18, 13 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 2, 0, \
2, -2, -6, 4, 2, 4, 0, -2, -2, -2, -2, -2, 2, 0, -1, -2, -12, 6, 9, 4, 4, 8, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0 ], [ -2, -2, 0, -2, 2, 6, -4, -2, -4, 0, 2, 2, 2, 2, 2, -2, 0, 1, 2, 12, -6, -8, -4, -3, -8, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 4, 6, 5, 3, 2, 1, 0, 0 ], [ 6, 4, 8, 12, 10, 7, 5, 3, 3, 1 ], [ 6, 4, 8, 12, 10, 8, 5, 3, 2, 0 ], [\
 3, 2, 4, 6, 5, 4, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1,\
 1, 1, 1, 0 ], [ 12, 8, 16, 24, 22, 16, 11, 8, 6, 2 ], [ 12, 8, 16, 24, 22, 17, 11, 7, 5, 2 ], [ 6, 4, 8, 12, 12, 9, 7, 5, 3, 1 ], [ 6, 4, 8, 12, 12, 10, \
7, 5, 4, 2 ], [ 8, 5, 10, 16, 15, 11, 8, 5, 4, 2 ], [ 8, 5, 10, 16, 15, 12, 8, 6, 4, 1 ], [ 10, 6, 12, 20, 18, 13, 9, 7, 5, 2 ], [ 10, 6, 12, 20, 18, 14, \
9, 6, 4, 2 ], [ 10, 6, 12, 20, 18, 14, 10, 6, 4, 1 ], [ 10, 6, 12, 20, 18, 14, 10, 7, 6, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 5, 4, 3, \
2, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 2, 1 ], [ 3, 1, 3, 6, 6, 5, 4, 3, 2, 1 ], [ 8, 4, 10, 16, 14, 10, 7, 5, 4, 2 ], [ 8, 4, 10, 16, 14, 11, 7, 5, 3, 1 ], [ \
14, 8, 18, 28, 26, 20, 14, 9, 6, 2 ], [ 14, 8, 18, 28, 26, 20, 14, 10, 8, 3 ], [ 1, 1, 2, 3, 3, 2, 2, 2, 2, 1 ], [ 1, 1, 2, 3, 3, 3, 2, 1, 0, 0 ], [ 7, 5,\
 10, 15, 14, 11, 8, 5, 4, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 11, 17, 16, 12, 8, 6, 4, 2 ], [ 13, 8, 17, 27, 24, 18, 12, 8, 6, 2 ], [ 8, 6, 12,\
 18, 16, 12, 8, 5, 4, 2 ], [ 8, 6, 12, 18, 16, 12, 8, 6, 4, 1 ], [ 12, 8, 16, 26, 24, 18, 13, 9, 6, 2 ], [ 12, 8, 16, 26, 24, 19, 13, 9, 7, 3 ], [ 10, 6, \
14, 22, 20, 15, 11, 7, 5, 2 ], [ 10, 6, 14, 22, 20, 16, 11, 8, 6, 2 ] ], weyl := [ 2, 2, 2, 2, -5, -5, 4, 4, 3, 2, -3, -4, -2, -2, -4, 1, 1, -3, -2, -12, \
6, 7, 6, 5, 6, 7 ], weylprime := [ 2, 2, 2, 2, -5, -5, 4, 4, 3, 2, -3, -4, -2, -2, -4, 1, 0, -3, -2, -12, 6, 7, 6, 5, 6, 7 ] ), rec( GramL26 := [ [ 4, 3, \
7, 10, 9, 6, 6, 4, 3, 1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 3, -6, 3, 2, 6, 1, 1, -2, 2, -5, -3, -1, -4, -4, -1, -3, 2, 0, -2, 1, -\
1, 0, 1, -3, -3, -1 ], [ 7, 3, 8, 14, 12, 10, 7, 5, 4, 1, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -2, 0 ], [ 10, 2, 14, 16, 18, 11, 11, 6, 6, -1, -3, \
-1, -4, -2, -1, -3, 0, -2, -2, 1, -1, 0, 1, 0, 0, -1 ], [ 9, 6, 12, 18, 14, 13, 10, 8, 5, 3, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 0 ], [ 6, 1, \
10, 11, 13, 4, 7, 2, 4, -2, -4, -2, -6, -3, -1, -3, 0, -2, 0, 0, 1, 1, -1, 0, 0, -3 ], [ 6, 1, 7, 11, 10, 7, 4, 2, 3, -1, -1, 0, -1, -2, 0, -1, 1, 0, 0, 0\
, 0, 0, 0, -2, -2, 0 ], [ 4, -2, 5, 6, 8, 2, 2, -2, 2, -4, -3, -1, -5, -3, 0, -2, 1, -1, 0, 0, 1, 1, -1, -2, -2, -1 ], [ 3, 2, 4, 6, 5, 4, 3, 2, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0 ], [ 1, -5, 1, -1, 3, -2, -1, -4, 0, -6, -3, -1, -5, -3, -1, -2, 1, -1, -1, 0, 0, 1, -1, -2, -2, -1 ], [ -\
1, -3, 0, -3, 0, -4, -1, -3, 0, -3, -4, -1, -4, -2, -1, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, -1, 0, -1, 0, -2, 0, -1, 0, -1, -1, -2, -2, -1, -1, 0,\
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, -2, -3, 0, -3, -2, -1, -2, -4, -1, -2, 1, 0, 0, 0, 0, 0, 0, -2, -2, -2 ], [ -1, -1, 0, -1, -1, -1, 0, 0, -1, -1, -1, -1, 0, -1, -4, 0, 0, 0, 0, -1, -2, \
-2, 0, 0, 0, -2 ], [ 0, -3, 0, -3, 0, -3, -1, -2, 0, -2, -2, 0, -2, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1\
, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 2, 0 ], [ 0, 0, 1, -2, 0, -2, 0, -1, 0, -1, -2, 0, -2, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 2, 2, 0 ], [ 0, -2, 0, -2, 0, 0,\
 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, -2, 0, 0, -2, 0, 0, 0 ], [ 0\
, -1, 0, -1, -1, 1, 0, 1, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -4, -2, 2, 0, 0, 0 ], [ 0, 0, 0, 0, -2, 1, 0, 1, 0, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, \
-4, 2, 0, 0, 0 ], [ 0, 1, 0, 1, 1, -1, 0, -1, -1, -1, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 2, 2, -4, 0, 0, 0 ], [ 0, -3, -1, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -\
2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -4, -2, 0 ], [ 0, -3, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, -4, 0 ], [ -2, -1, 0, -1, 0, -\
3, 0, -1, 0, -1, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramR := [ [ -22, -11, -5, -15, -5, -3, -5, -1, -4, 0, -2, -6, 4, 0, 0, -6 ], [\
 -11, -8, -2, -9, -3, -1, -3, -1, -4, 0, -2, -4, 2, 0, 0, -2 ], [ -5, -2, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -15, -9, -9, -36, -2, 0, -4, 2,\
 -2, 2, 0, -14, 8, -4, -4, 0 ], [ -5, -3, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ -3, -1, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [\
 -5, -3, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -1, -1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ -4, -4, 0, -2, -2, 0, -2, 0, -\
4, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ -2, -2, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 2, 2, 0 ], [ -6, -4, -4, -\
14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ 4, 2, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ 0, 0, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -4, -2, 0 ], [\
 0, 0, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -4, 0 ], [ -6, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ], NK := "not corresponding to Nikulin-Ko\
ndo", NKisom := "not corresponding to Nikulin-Kondo", No := 12, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0,\
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, 0, -1/2, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1/2, -1, 0, 0, 0, -1/2, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 1/2 ], [ 0\
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 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1, 1/2, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1, -1/2, 0\
, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1/2, 0, 0, 0, 0, -1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0,\
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1 ], [ 4, 3, 6, 9, 7, 6, 4, 4, 2, 1 ], [ -6, -4, -8, -13, -10, -9, -6, -5, -3, -1 ], [ 4, 2, 5, 8, 6, 6, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ] \
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1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -2, -2, 1, 0, 2, 0, 0, 0, -1, 1, -1, -2, -4, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, 0, 0, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, -1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 2, 2, 4, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 ], [ -1, 0, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, -1, 0, 2, 0, 0, -1, -2, 0\
, -1, -2, -3, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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4, -5, -21, -3, -1, -5, 1, -2, 2, 0, -6, 4, -4, -4, -2 ], [ -11, -8, 2, -2, -12, -2, 0, -3, 0, -3, 1, -1, -4, 2, -2, -2, 0 ], [ 4, 2, -4, 0, 3, -1, -1, 0,\
 -1, -1, -1, -1, 0, 0, 2, 2, -2 ], [ -5, -2, 0, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -21, -12, 3, -9, -36, -2, 0, -4, 2, -2, 2, 0, -14, 8, -4,\
 -4, 0 ], [ -3, -2, -1, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ -1, 0, -1, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -5, -3, 0, 0, \
-4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ 1, 0, -1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ -2, -3, -1, 0, -2, -2, 0, -2, 0, -4, 0, \
-2, 0, 0, 0, 0, 0 ], [ 2, 1, -1, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ 0, -1, -1, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 2, 2, 0 ], [ -6, -4, 0, -\
4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ 4, 2, 0, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ -4, -2, 2, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -4\
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4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 \
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-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 1, 0, 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 2, 0, -2, 0, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, -7, 0, -8, -6, -13, 0, 0, -2 ], [ -1, 1, 0, 1, 0, -1, 0, 0, 6,\
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 [ -3, 0, 0, 4, 0, -3, 0, 0, 16, 0, -1, -1, 0, -2, 13, 0, 0, 1, -15, 1, -17, -13, -28, 1, 1, -2 ], [ -3, 0, 0, 4, -1, -2, 0, 0, 13, 0, 0, 0, -1, 0, 9, -1,\
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1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, -4, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, -1, 1, -2, 3, 1,\
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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 1, -2, 2, 1, 0, 1, -1, 2, -2, -2, -5, 1, 1, 1 ], [ 0, 0, 0, 0, 0\
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 -3, -2, -4, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -\
2, 0, 0, 0, 1, 0, 2, 2, 4, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0\
, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, -2, -3, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), r\
ec( GramQ := [ [ -36, -25, -3, -26, -9, -5, -11, -7, -3, -6, 0, -4, -6, 4, 0, 0, -8 ], [ -25, -22, 0, -20, -7, -3, -11, -5, -3, -6, 0, -4, -4, 2, 0, 0, -4\
 ], [ -3, 0, -4, -7, 0, 0, 2, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -26, -20, -7, -44, -6, -2, -8, -6, 0, -4, 2, -2, -14, 8, -4, -4, -2 ], [ -9, -7, 0, -6, -\
4, -1, -4, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ -5, -3, 0, -2, -1, -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -11, -11, 2, -8, -4, -2, -8, -2, -2, -2,\
 0, -2, 0, 0, 0, 0, -2 ], [ -7, -5, 0, -6, -2, -1, -2, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -3, -3, 1, 0, -1, -1, -2, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 \
], [ -6, -6, 0, -4, -2, 0, -2, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ -4, -4, 0, -2, -2, 0, -2, 0, \
0, -2, -2, -4, 0, 0, 2, 2, 0 ], [ -6, -4, -4, -14, 0, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ 4, 2, 2, 8, 0, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ 0,\
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0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 8,\
 -2, 0, 0, 0 ], [ 0, 0, 0, 8, -12, 4, 0, 0, 0 ], [ 0, 0, 0, -2, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, \
0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0,\
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 1, 1, 0 ], [ -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, -1, 1, 0, -1, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 1, 0,\
 0, 0, 0, -1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1 ], [ -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, \
0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, \
0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 3, 4, 4, -2, -2, -4, 4, -4, 21, -2, -9, -8, 12, -1, 9, 1\
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[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D5" ], \
theg := [ [ 5, 3, 6, 9, 6, 5, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -17, -12, -10, -8, -6, -4, \
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0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 2, 0, -2, 0, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, -7, 0, -8, -6, -13,\
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0 ], [ -6, -2, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -4, 0, 4, -6 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0,\
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0 ], [ 4, 0, 0, -4, 0, 4, 2, -8, 8 ], [ -6, 0, 0, 6, 0, -6, 0, 8, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0\
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1 ] ], r := [ 4, 3, 6, 9, 7, 5, 4, 3, 1, 0 ], rlifts := [ [ 1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, -1 ] ], rootsQ \
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1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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1, 0, 1, 0, 0, -1, 0, 1, -1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "\
A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 5, 3, 6, 9, 7, 5, 4, 3, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
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5, 5, -7 ], [ 1, 0, 0, -1, 0, 2, 0, -7, 26, -1, -1, -1, 4, 0, 9, -1, 0, 4, -9, 1, -18, -9, -30, 4, 4, -6 ], [ 1, 0, 0, -1, 0, 1, 1, -5, 18, -1, 0, 0, 3, 0\
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, 0, 4, 2, 5, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 3, 1, 3, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 6, 2, 0, 0, 0, 0,\
 2, 0, 0, 0, -3, 0, -5, -2, -7, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
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:= [ [ -32, -41, -17, 8, 15, 1, 1, -1, -1, 2, 2, 2, 10, -6, -4, -4, 2 ], [ -41, -58, -24, 11, 21, 3, 3, 1, -1, 2, 2, 2, 12, -8, -4, -4, 6 ], [ -17, -24, -\
16, 2, -3, 2, 2, 0, 1, 2, 2, 2, 1, -1, -4, -4, 4 ], [ 8, 11, 2, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 15, 21, -3, -9, -36, -2, 0, -4, 2, -2, 2,\
 0, -14, 8, -4, -4, 0 ], [ 1, 3, 2, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ 1, 3, 2, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [ -1, \
1, 0, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -1, -1, 1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 2, 2, 2, 0, -2, -2, 0, -2, 0, \
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1, -4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ -6, -8, -1, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ -4, -4, -4, 0, -4, 0, 0, -2, 0, 0, 2, 2, \
0, 0, -4, -2, 0 ], [ -4, -4, -4, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -4, 0 ], [ 2, 6, 4, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp :\
= [ [ -8, 0, 0, 6, -4, 4, 0, -4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 6, -4, 0, 4, 2 ], [ -4, 0, 0, 6, -8,\
 6, 0, -4, -2 ], [ 4, 0, 0, -4, 6, -8, 2, 4, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, 0, 0, 4, -4, 4, 2, -8, 0 ], [ -2, 0, 0, 2, -2, 2, 0, 0, -4 ] ], Si\
gma := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0 ], [ 0, 1, -2, 0, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 1, 0, 0, 0, 0, 0, 0,\
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 -1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 7, 4, 4, -4, -2, -6, 4, 0, 19, -2, -5, -4, 8, -1, 11, 3, -1, 0, -9, 4, -16, -10, -3\
0, -3, -5, -2 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 2, 0, 0, 0, 0, 0, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, -1, 1, -2, -1, -3, 0, 0, 1 ]\
, [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, -2,\
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0, 0, 0, 0, -1, 2, -2, 0, -5, 0, 0, 1 ], [ 1, 0, 0, 0, 0, -2, 2, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2\
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 0, 1, 0, -1, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1 ] ], r := [ 4, 3, 6, 9, 7, 6, 4, 2, 1, 0 ], rlifts := [ [ 1, 0, 0, -1, 1, -\
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, \
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], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0 ], [ -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, \
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], [ 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, \
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1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4\
" ], theg := [ [ 5, 3, 6, 9, 7, 6, 4, 2, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -6, -8, -7, -6, -4, -2, -1,\
 0 ], [ 4, 3, 6, 9, 8, 6, 4, 2, 1, 0 ], [ -4, -3, -6, -9, -7, -5, -4, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 3, 6, 9, 7, 6, 4, 3, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 3, 6, 9, 7, 6, 4, 2, 1, 1 ] ], thegtilde := [ [ 3, 0, 0, 0, 0, -4, 0, 4, 10, 0, 0, 0, 0, 0, 8, 2, 0, -2, -7, 0, -10, -\
8, -17, -2, -2, -4 ], [ 2, 1, 0, 0, -1, -2, 0, 3, 7, 1, -1, -1, -1, 0, 7, 0, 0, -2, -7, 0, -9, -6, -14, -3, -3, -3 ], [ 4, 0, 1, -1, 0, -5, 0, 6, 13, 0, 0\
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, -8 ], [ 5, 0, 0, 0, -1, -6, 0, 8, 17, 0, 0, 0, -1, 0, 13, 3, 0, -4, -12, 0, -17, -13, -29, -4, -4, -6 ], [ 3, 0, 0, 0, 0, -5, 0, 6, 15, 0, -1, -1, 0, 0,\
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, -3, -6, -1, -1, -2 ], [ 1, 0, 0, 0, -1, 0, 0, 1, 4, 0, -1, -1, 0, 0, 4, 0, 0, -1, -3, 0, -4, -3, -7, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
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0, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, 0, -1, 1, 1, 0, 0, -1, 0, 2, -1, 0, 0, -3, -1, -3, -1, -3, 0, 0, -1 ], [ 1, 0, 0, -1, 1, -1, 0, 1, 1, -1, 0, \
0, 1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, 2, 3, -1, -1, 0 ], [ 1, 0, 0, 0, -1\
, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, -1, -1, 0 ], [ 1, 0, 0, -1, 1, -1, 0, 1, 3, -1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, -1, -3, -4, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -14, -15, -15, 1, -7, -3, -1, -3, 0, 0, 2,\
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yl := [ 11, 4, 4, -2, -2, -20, 20, -4, 25, -2, -13, -12, 24, -1, 17, 9, -1, -6, -17, 12, -22, -16, -50, -9, -11, 4 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, 0,\
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mbQperp := [ [ -6, 0, 0, 2, 0, 0, 4, -2, 0, 0, -2, -2, 2, 0, 2, -1, 0, -1, -2, 2, -2, -2, -4, -1, -1, 3 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,\
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-4, -2, 0, 2, 3, -2, 4, 4, 10, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1 ], [ 2, 0, 0, 0, 0, -4, 4, 0, 4,\
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 ] ] ), rec( GramQ := [ [ -12, -14, -15, 5, 9, -3, -2, -1, -2, 0, 0, -1, 4, -2, 0, 0, -2 ], [ -14, -24, -28, 8, 15, -1, 0, 1, -2, 0, 0, -1, 6, -4, 0, 0, 2\
 ], [ -15, -28, -40, 10, 24, 2, 1, 4, -1, 4, 0, 1, 10, -6, 0, 0, 4 ], [ 5, 8, 10, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 9, 15, 24, -9, -36, -2,\
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, 0, 0, -2 ], [ -1, 1, 4, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -2, -2, -1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 0, 4, \
0, -2, -2, 0, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ -1, -1, 1, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0\
, 2, 2, 0 ], [ 4, 6, 10, -4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ -2, -4, -6, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ 0, 0, 0, 0, -4, 0, \
0, -2, 0, 0, 2, 2, 0, 0, -4, -2, 0 ], [ 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -4, 0 ], [ -2, 2, 4, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4\
 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, -4, -2, -8, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ \
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4, 2, 6, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0,\
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1, 1, -1, -1, -1, 0, 0, 0 ], [ -1, 0, 0, -2, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0 ], [ 1, 0, 0, 2, 0, -1, -1, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0,\
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0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "A3", "D4" ], theg := [ [ 5, 3, 6, 9, 8, 7, 5, 4, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
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8, -7, -5, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 8, 6, 12, 18, 16, 14, 10, 8, 4, 1 ] ], thegtilde := [ [ 9, 0, 0, 2, 0, -12, 10, -10, 28, 0, -1\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -46, -51, -55, 11, 33, -3, -3, 1, -6, 0, -2, -2, 12, -8, 4, 4, -4 ], [ -51, -64, -71, \
14, 39, -1, -1, 3, -6, 0, -2, -2, 14, -10, 4, 4, 0 ], [ -55, -71, -86, 16, 48, 2, 0, 6, -5, 4, -2, 0, 18, -12, 4, 4, 2 ], [ 11, 14, 16, -4, -9, 0, 0, 0, 1\
, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 33, 39, 48, -9, -36, -2, 0, -4, 2, -2, 2, 0, -14, 8, -4, -4, 0 ], [ -3, -1, 2, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0\
, -2 ], [ -3, -1, 0, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 1, 3, 6, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -6, -6, -5, 1, 2, \
-1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 0, 4, 0, -2, -2, 0, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0 ], [ -2, -2, -2, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2\
, 2, 0 ], [ -2, -2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 2, 2, 0 ], [ 12, 14, 18, -4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ -8, -10, -12, 2, 8,\
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0 ], [ -4, 0, 2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 0, 0, 2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, \
2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ],\
 [ 2, 0, 0, 0, 0, 0, 2, -4, 2 ], [ -2, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 1, 0, 0, 2, 0, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0 ], [\
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 -1, 0, 0, 1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 1, 0, 1, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, \
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 [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg \
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2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, -4, 8, -4, 4, 0, 0, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, -4, 4, 0, 0, -2\
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0, 2, -4, 2 ], [ -2, 0, -2, 2, -2, 2, 0, 2, -4 ] ], Sigma := [ [ 1, 1, -1, 1, 0, -1, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1\
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1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1 ]\
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, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ \
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, 33, -2, -13, -12, 24, -1, 25, 9, -1, 2, -17, 12, -30, -24, -66, -1, -11, -4 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
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 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, -3, -2, -5, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0 ], [ 0,\
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 1, 5, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, -1, 2, -2, 0, -5, 0, 0, 1 ], [ 1, 0, 0, 0, 0, -2, 2, 0, -1, 0, 0, 0, 1, 0, 1\
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2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 1, 1, 0 ], [ -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1 ] ], r :=\
 [ 8, 5, 10, 17, 14, 13, 10, 7, 4, 1 ], rlifts := [ [ 1, 0, 2, -1, 0, -1, 0, 0, 1, 0, -1, -1, 2, 0, 1, 1, 0, 0, 0, 1, -1, -1, -3, 0, -1, 0 ] ], rootsQ := \
[ [ 1, 1, -1, 1, 0, -1, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ], [ -1, -1, 1, -1, 0, 1, 1, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ], [ 1, 1, -1, 2, 0, -2, -1, 0, 2, \
1, -1, 1, -1, -2, 0, -1, 0 ], [ -1, -1, 1, -2, 0, 2, 1, 0, -2, -1, 1, -1, 1, 2, 0, 1, 0 ], [ 1, 1, -1, 2, 0, -1, -1, 0, 2, 1, 0, 0, -1, -2, 0, -1, 0 ], [ \
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adjweyl := [ 3, 8, 4, -2, -2, -4, 4, -8, 21, -2, -5, -4, 8, -1, 9, -1, -1, 4, -13, 4, -18, -8, -30, -1, -3, 0 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0\
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erp := [ [ -3, 0, 0, 1, 0, 1, 2, -4, 2, 0, -1, -1, 2, 0, 1, -1, 0, 1, -1, 1, -2, -1, -3, 1, 1, 1 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 4, 0, 0, 2, 0,\
 1, 2, 0, 1, 0, -1, 3, 2, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, -1, 1, 0 ], [ 1, 0, 2, -2, 0, 0, -2, 4, -3, 0, \
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1, -1 ], [ -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 1, 0, 0, 0 ] ], r := [ 2, 1, 3, 5, 4, 3, 3, 3, 2, 1 ], rlifts := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1,\
 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0\
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ootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 3, 1, 3, 5, 4, 3, 3, 3, 2, 1 ], [ 2, 2, 3, 5, 4, 3, 3\
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2, 2, 0, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
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], [ 0, 2, -4, 2, 0, 0, -2, 4, -2, 0, 0, 0, -4, 0, 0, -2, 0, -1, -2, 0, -1, 0, 1, -2, 0, 0 ], [ 1, 0, 2, -2, 0, 0, 2, -4, 1, 0, 2, 2, 1, 0, -1, 1, 0, 1, 2\
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3, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1 ], [ -1, 0, 0, 1, 0, -1,\
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 := [ 4, 2, 5, 9, 8, 7, 5, 3, 2, 1 ], rlifts := [ [ 1, 1, 1, -1, 0, -1, 0, 1, 1, 0, -1, -1, 1, 0, 1, 1, 1, -1, -1, 1, -1, -1, -3, -1, -1, 0 ] ], rootsQ :=\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0,\
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 ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" ], theg := [ [ 5, 2, 5, 9, 8, 7, 5, 3, 2, 1 ], [ 4, 3, 5, 9, 8,\
 7, 5, 3, 2, 1 ], [ 4, 2, 6, 9, 8, 7, 5, 3, 2, 1 ], [ -4, -2, -5, -8, -8, -7, -5, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -9, -8, -6\
, -5, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 2, 5, 9, 8, 7, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]\
 ], thegtilde := [ [ 9, 10, 10, -8, 0, -12, 0, 10, 18, 0, -10, -10, 10, 0, 16, 5, 0, -5, -17, 10, -18, -16, -43, -10, -15, -2 ], [ 5, 7, 6, -5, 0, -7, 0, \
6, 12, 0, -7, -7, 6, 0, 11, 2, 0, -3, -12, 7, -13, -11, -29, -7, -10, -1 ], [ 11, 13, 14, -11, 0, -15, 0, 13, 23, 0, -13, -13, 13, 0, 21, 6, 0, -6, -22, 1\
3, -23, -21, -56, -13, -20, -2 ], [ 18, 21, 21, -17, 0, -24, 0, 21, 37, 0, -22, -22, 21, 0, 34, 10, 0, -11, -36, 22, -38, -34, -91, -21, -32, -3 ], [ 15, \
18, 18, -14, -1, -20, 0, 18, 31, 0, -18, -18, 17, 0, 27, 8, 0, -9, -30, 18, -31, -27, -75, -18, -27, -2 ], [ 12, 15, 15, -12, 0, -17, 0, 15, 27, 0, -16, -\
16, 15, 0, 24, 7, 0, -8, -25, 16, -27, -24, -65, -15, -23, -2 ], [ 9, 11, 11, -9, 0, -13, 1, 11, 19, 0, -11, -11, 11, 0, 17, 5, 0, -6, -18, 11, -19, -17, \
-46, -12, -17, -1 ], [ 6, 7, 7, -6, 0, -8, 0, 8, 13, 0, -8, -8, 7, 0, 12, 3, 0, -4, -12, 8, -13, -12, -32, -8, -11, -1 ], [ 4, 4, 4, -4, 0, -4, 0, 4, 7, 0\
, -4, -4, 4, 0, 6, 2, 0, -2, -6, 4, -6, -6, -16, -4, -6, -1 ], [ 3, 3, 3, -3, 0, -3, 0, 3, 7, -1, -4, -4, 4, 0, 6, 1, 0, -1, -5, 4, -6, -6, -15, -3, -4, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0 ], [ -2, -2, -2, 2, 0, 2, 0, -2, -4, 0, 2, 2, -2, 0, -4, -1, 0, 1, 3, -2, \
4, 4, 10, 2, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1 ], [ 2, 2, 2, -2, 0, -2, 0, 2, 4, 0, -2, -2, 2, 0, 4,\
 1, 0, -1, -3, 2, -3, -4, -9, -2, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
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:= [ [ -22, 3, -11, -5, -15, -5, -3, -5, -1, -4, 0, -2, -6, 4, 0, 0, -6 ], [ 3, -28, -3, 5, 0, -2, 0, -6, -4, -4, 4, 2, 3, -4, -6, -6, 0 ], [ -11, -3, -8,\
 -2, -9, -3, -1, -3, -1, -4, 0, -2, -4, 2, 0, 0, -2 ], [ -5, 5, -2, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -15, 0, -9, -9, -36, -2, 0, -4, 2, -2\
, 2, 0, -14, 8, -4, -4, 0 ], [ -5, -2, -3, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ -3, 0, -1, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 \
], [ -5, -6, -3, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -1, -4, -1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ -4, -4, -4, 0, -2,\
 -2, 0, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ -2, 2, -2, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 2, 2\
, 0 ], [ -6, 3, -4, -4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ 4, -4, 2, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ 0, -6, 0, 0, -4, 0, 0, -2,\
 0, 0, 2, 2, 0, 0, -4, -2, 0 ], [ 0, -6, 0, 0, -4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -4, 0 ], [ -6, 0, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4 ] ]\
, GramQperp := [ [ -8, -8, 0, 10, -4, 0, 0, -2, -2 ], [ -8, -20, 2, 16, -8, 0, 0, -4, -4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 16, 2, -20, 10, 0, 0, 4,\
 4 ], [ -4, -8, 0, 10, -8, 2, 0, -2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, -4, 0, 4, -2, 0, 2, -4, 0 ], [ -2, -4, 0,\
 4, -2, 0, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 1, \
1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -2, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0\
, 1, -1, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0\
, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0\
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 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 5, 12, 4, -6, -2, -4, 4, -4, 23, -2, -5, -4, 6, -1, 11, \
-1, -1, 2, -13, 4, -20, -10, -32, -5, -7, -2 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 2, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -2, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 0, 0, 0, 0, 2, 0, -2, 2, 0, -1, -1, 1, 0, 1, -1, \
0, 1, 0, 1, -1, -1, -2, 1, 1, 0 ], [ 2, -4, 2, -2, 0, 2, 0, -4, 4, 0, 0, 0, 4, 0, 0, 2, 0, 2, 4, 0, 2, 0, 0, 4, 3, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, \
0, 0, -2, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, -1, 1, 0 ], [ -1, 0, 2, 0, 0, -2, 0, 4, -5, 0, 2, 2, -3, 0, -1, 1, 0, -2, 0, -2, 2, 1, 4, -2, -3, 1 ], [ 1, 0, \
0, -1, 0, 1, 0, -2, 4, 0, -2, -2, 3, 0, 0, 0, 0, 1, 0, 2, -1, 0, -4, 1, 1, 0 ], [ 1, 0, 0, 0, 0, -2, 2, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, 0, -1, 0,\
 -1, -1, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 0, 0, 0, 0, \
1, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ] ], r := [ 6, 3, 8, 13, 10, 8, 6, 4, 2, 1 ]\
, rlifts := [ [ 1, 2, 0, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0,\
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, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 1, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -2, -1, -1, -1 ], [ -1, -1, 2, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 2, 1\
, 1, 1 ], [ 0, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, 0, -1, -2, -1, -1, 0 ], [ 0, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 1, 2, 1, 1, 0 ], [ 1, 1, -1, 1, 0, 0, 0, 0,\
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[ 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 0\
, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0 ], [ 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1 ], [ -1, 0\
, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1\
, 0, 0, 1 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 0, -1, -1, 0, 0, 0, 0,\
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0, 1, 0, 1, 0, 0, 1, 0, 1, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, \
0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 0, 0,\
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0, 0, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1 ], [ 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, -1, 0\
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0, -1, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0\
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, -3, -1, -4, -1, -1, 0 ] ], rootsQ := [ [ 1, 1, -1, 3, 0, -1, -1, 0, 1, 0, 0, 0, -1, -2, -1, -1, 0 ], [ -1, -1, 1, -3, 0, 1, 1, 0, -1, 0, 0, 0, 1, 2, 1, \
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, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -3, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, -1, 1, -2, -1, -3, 0, 0, 1 ], [ 0, -4, 2, 0, 0, 0,\
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2, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1 ] ], r := [ 6, 3, 8, 13, 11, 9, 6, 5, 3, 1 ], rlifts := [ [ 1, 2, 0, -1, 0, -1, 2, -1, 1, 1, -1,\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D4" \
], theg := [ [ 7, 3, 8, 13, 11, 9, 6, 5, 3, 1 ], [ 12, 7, 16, 26, 22, 18, 12, 10, 6, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -8, -12, -11, -9, -6\
, -5, -3, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -3, -8, -13, -11, -8, -6, -5, -3, -1 ], [ 12, 6, 16, 26, 22, 18, 13, 10, 6, 2 ], [ -6, -3, -8, -13\
, -11, -9, -6, -4, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 6, 3, 8, 13, 11, 9, 6, 5, 3, 2 ] ], thegtilde := [ [ 6, 26, 0, -5, 0, -21, 26, -13, 34, -\
1, -13, -13, 20, 0, 19, 0, 0, -6, -32, 14, -40, -19, -65, -19, -19, 4 ], [ 3, 17, 0, -3, 0, -13, 16, -8, 22, 0, -9, -9, 12, 0, 13, -1, 0, -4, -22, 9, -27,\
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A1", "A1", "A3", "D4" ], theg := [ [ 5, 4, 8, 12, 10, 10, 8, 6, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, \
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3, 0, -3, -3, -6, 0, 0, -2 ], [ 3, 0, 0, 0, 0, -2, 0, 0, 5, -1, -1, -1, 2, 0, 4, 1, 0, 0, -3, 1, -4, -4, -8, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
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4" ], theg := [ [ 13, 8, 16, 28, 24, 20, 16, 12, 6, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 17, 28, 24, 20, 16, 12, 6, 2 ], [ -12, -8, -16, -27, -\
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 -10, -8, -5, -3, -1 ], [ 6, 4, 8, 14, 12, 10, 8, 6, 4, 1 ], [ 6, 4, 8, 14, 12, 10, 8, 6, 3, 2 ] ], thegtilde := [ [ 19, 0, 26, -18, 0, -8, 0, -13, 47, -1\
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, 3, -1, -1, -1, 3, 0, 1, 1, 0, 1, 0, 0, 0, -1, -3, 1, 0, -1 ], [ -4, 0, -4, 4, 0, 0, 0, 2, -8, 2, 2, 2, -6, 0, -4, -2, 0, -2, 1, -2, 4, 4, 12, -2, 0, 3 ]\
, [ -2, 0, -2, 2, 0, 0, 0, 1, -3, 1, 1, 1, -3, 0, -3, -1, 0, -1, 0, -1, 2, 2, 5, -1, 0, 2 ], [ 7, 0, 8, -7, 0, -1, 0, -4, 14, -2, -4, -4, 11, 0, 6, 4, 0, \
3, -2, 4, -6, -6, -20, 3, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -\
22, 42, -11, -5, -15, -5, -3, -5, -1, -4, 0, -2, -6, 4, 0, 0, -6 ], [ 42, -124, 18, 19, 43, 3, 2, 3, -5, 4, 2, 3, 20, -14, -3, -3, 6 ], [ -11, 18, -8, -2,\
 -9, -3, -1, -3, -1, -4, 0, -2, -4, 2, 0, 0, -2 ], [ -5, 19, -2, -4, -9, 0, 0, 0, 1, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -15, 43, -9, -9, -36, -2, 0, -4, 2, -2, \
2, 0, -14, 8, -4, -4, 0 ], [ -5, 3, -3, 0, -2, -4, -1, -2, -1, -2, 0, -2, 0, 0, 0, 0, -2 ], [ -3, 2, -1, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], \
[ -5, 3, -3, 0, -4, -2, -1, -4, -1, -2, 1, 0, 0, 0, -2, -2, -2 ], [ -1, -5, -1, 1, 2, -1, -1, -1, -4, 0, 0, 0, 0, -2, 0, 0, -2 ], [ -4, 4, -4, 0, -2, -2, \
0, -2, 0, -4, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 2, 2, 0 ], [ -2, 3, -2, 0, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 2, 2, 0 ]\
, [ -6, 20, -4, -4, -14, 0, 0, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0 ], [ 4, -14, 2, 2, 8, 0, 0, 0, -2, 0, 0, 0, 4, -4, 0, 0, 0 ], [ 0, -3, 0, 0, -4, 0, 0, -2, 0,\
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ramQperp := [ [ -8, -2, 0, 4, 0, 2, -2, 0, -2 ], [ -2, -8, 2, -2, 0, -2, -2, -6, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, -2, 2, -8, 2, -4, 0, -6, 2 ], [\
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, [ 4, -8, -8, -16, 4, -12, -4, -20, 6 ], [ -2, 2, 2, 6, -2, 4, 2, 6, -4 ] ], Sigma := [ [ 1, 1, -1, 2, 0, 0, 0, 1, 1, 0, 0, 0, -1, -2, -1, -1, -1 ], [ 0,\
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[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D5" ], \
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22, 37, -11, -5, -15, -5, -3, -5, -1, -4, 0, -2, -6, 4, 0, 0, -6 ], [ 37, -138, 13, 18, 28, 2, 2, -2, -5, 2, 6, 6, 16, -12, -8, -10, 6 ], [ -11, 13, -8, -\
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2, 4, -4, 2 ], [ -6, -2, -2, 4, -2, 2, -2, 2, -4 ] ], Sigma := [ [ 2, 1, -2, 3, 0, -1, -1, 0, 1, 1, 0, 0, -1, -2, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, \
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20, -20, 49, -2, -13, -12, 32, -1, 25, 9, -1, 2, -25, 12, -38, -24, -74, -9, -19, -4 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
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, 1, 3, 3, 2, -2, -3, 4, -6, -4, -14, -3, -5, -2 ] ), rec( GramL26 := [ [ 4, 4, 6, 10, 9, 8, 6, 5, 3, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -\
2 ], [ 4, 0, 4, 7, 6, 3, 4, 1, 2, -1, -2, 1, -1, 1, -1, -1, -2, 0, 0, 0, 0, 0, -2, -2, 0, 1 ], [ 6, 4, 6, 13, 11, 10, 7, 6, 4, 0, -1, 0, 0, -2, 0, -1, -1,\
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-2, -4 ] ], GramR := [ [ -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6,\
 -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 24, 10, 8, -6, -7, 2, -6, -\
3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0\
, 2 ], [ -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 9, 6, 1, -1, -2\
, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0,\
 0 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, \
2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], NK := "not corresponding to Nikulin-Kondo", NKisom := "not corr\
esponding to Nikulin-Kondo", No := 13, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/\
2, -1/2, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0,\
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0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1/2, -1/2, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
/2, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0,\
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, -1, -1, -1, -1 ], [ -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 0, 0, -1/2, 0, 0, \
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1/2, 1/2, 1/2, 0 ], [ 0, -1/2, 1, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, -1/2, -1/2, 0 ], [ 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ \
0, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ -1/2, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 1/2, 0, 1/2, -1/2, 1/2, 0, \
0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 1/2, 0, -1/2, 0, -1/2, 0, 1/2, -1/2, 0, 0, 0, 1/2, -1/2, -1/2, -1/2, 1/2 ], [ -1/2, 0, 1/2, 0, 1/2, 0, -1/2, 1/2, 0, \
0, 0, -1/2, 1/2, 1/2, 1/2, -1/2 ], [ 0, -1/2, 0, 1, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 1/2, 0, -1, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -1\
/2 ], [ 0, 1/2, -3/2, 1, -1/2, 0, 0, 0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0 ], [ 0, -1/2, 3/2, -1, 1/2, 0, 0, 0, 0, 0, 0, -1, -1/2, -1/2, -1/2, 0 ], [ -1/2, -1/2\
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1/2, -1/2, 0, 0, 0, -1/2, -1, -1, -1, 1/2 ], [ -1/2, 1/2, -1, 1, 0, 0, -1/2, 1/2, 0, 0, 0, 1/2, 1, 1, 1, -1/2 ], [ -1/2, 1/2, -1/2, -1/2, -1/2, 0, -1/2, 1\
/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ 1/2, -1/2, 1/2, 1/2, 1/2, 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 1/2, 1/2, -1/2, -1, -1/2, 0, 0, 0, 0, 0, 0, \
1/2, -1/2, -1/2, -1/2, 0 ], [ -1/2, -1/2, 1/2, 1, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 1/2, 0 ], [ 0, -1, 3/2, 0, 1/2, 0, 1/2, -1/2, 0, 0, 0, -1, -1/2, \
-1/2, -1/2, 1/2 ], [ 0, 1, -3/2, 0, -1/2, 0, -1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 1/2, -1/2 ], [ -1, 0, 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, -1\
/2 ], [ 1, 0, 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, -1/2, -1/2, -1/2, 1/2 ] ], embR := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -\
1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embS := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0\
, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2\
 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -\
1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], gene\
ratorsOL10D := [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 2, 2, 2, 2, 2, 2, 1 ], [ 4, 3, 6, 9, 8, 5, 4, 3, 2, 1 ],\
 [ -9, -6, -12, -18, -17, -12, -10, -8, -6, -3 ], [ 6, 4, 8, 12, 12, 9, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], \
[ -2, -1, -2, -4, -4, -3, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 9, 6, 12, 19, 18, 14, 10, 8, 6, 2 ], [ -12, -8, -16, -24, -23, -18, -13, -11, -8, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], \
[ 6, 4, 8, 12, 12, 9, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -12, -10, -7, -5, -3, -1 ], [ 6, 4, 8, 12, 12, 10, 8, 6, 4, 1 ] ]\
, [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -10, -16, -14, -10, -7, -5, -4, -1 ], [ 7, 5, 9, 14, 12, 9, 6, 5, 4, 1 ], [ 4, 3, 6, 9, 8, 5, 4, 3, 2, 1 ]\
, [ -15, -11, -20, -30, -27, -19, -14, -11, -8, -3 ], [ 8, 6, 11, 16, 15, 11, 8, 6, 4, 1 ], [ 6, 4, 7, 12, 11, 8, 6, 5, 4, 2 ], [ 2, 2, 3, 4, 3, 2, 1, 0, \
0, 0 ], [ -8, -6, -10, -16, -14, -10, -7, -5, -3, -1 ], [ 8, 6, 10, 16, 14, 10, 8, 6, 4, 1 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -4, \
-3, -3, -2, -2, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 6, 11, 17, 16, 12, 10, 8, 6, 2 ], [ -14, -10, -19, -28, -26, -20, -16, -13, -10, -3 ], [ 8, 6\
, 11, 16, 15, 12, 9, 7, 6, 2 ], [ 4, 2, 5, 8, 7, 5, 4, 3, 2, 0 ], [ 2, 2, 3, 4, 3, 2, 2, 2, 2, 1 ], [ -14, -10, -19, -28, -25, -18, -14, -11, -9, -3 ], [ \
12, 8, 16, 24, 22, 16, 12, 10, 8, 3 ] ], [ [ 3, 3, 4, 6, 6, 5, 4, 3, 2, 1 ], [ -6, -5, -9, -14, -13, -10, -7, -5, -4, -2 ], [ 6, 5, 9, 13, 12, 9, 6, 5, 4,\
 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -5, -8, -13, -11, -9, -6, -5, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 6, 4, 7, 12, 11, 8, 6, 5, 4, 2 ]\
, [ 2, 2, 3, 4, 3, 2, 1, 0, 0, 0 ], [ -4, -3, -5, -8, -7, -5, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 2, 2, 3, 4, 3, 2, 1, 0, 0, 0 ], [ \
-1, 0, -1, -2, -2, -2, -1, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 5, 3, 2, 2, 1 ], [ 6, 4, 7, 12, 11, 9, 7, 5, 4, 1 ], [ -13, -9, -16, -26, -23, -18, -13, -9, -8, -3\
 ], [ 5, 4, 7, 11, 10, 8, 6, 4, 4, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -5, -3, -6, -10, -8, -6, -5, -3, -3, -1 ], [\
 6, 4, 8, 12, 10, 8, 6, 4, 4, 1 ] ] ], interiorpt := [ 22, 16, 30, 46, 42, 32, 24, 18, 14, 5 ], isomto := [ "40D", [ 1, 13, 4, 31, 2, 11, 3, 26, 15, 14, 3\
0, 32, 16, 25, 6, 7, 19, 24, 18, 20, 12, 5, 17, 9, 35, 10, 23, 38, 29, 8, 21, 28, 37, 27, 33, 40, 22, 36, 34, 39 ] ], m4R := 2144, name := "40E", ogR := 1\
194393600, orderOL10D := 1440, projR := [ [ -1/2, 3/2, -3/2, -1/2, -9/2, 0, -5/2, 5/2, 0, 0, 0, 3, 1, 1, 1, -2 ], [ 0, 1, -1, -1/2, -3, 0, -3/2, 3/2, 0, 0\
, 0, 2, 1, 1, 1, -3/2 ], [ -1/2, 2, -2, -1, -6, 0, -3, 3, 0, 0, 0, 4, 1, 3/2, 3/2, -5/2 ], [ -1, 3, -3, -1, -9, 0, -5, 5, 0, 0, 0, 6, 2, 2, 5/2, -5 ], [ -\
1, 5/2, -5/2, -1, -15/2, 0, -4, 4, 0, 0, 0, 5, 3/2, 3/2, 3/2, -4 ], [ -3/2, 3/2, -1, -1/2, -7, 0, -4, 4, 0, 0, 0, 4, 2, 2, 2, -4 ], [ -1, 1, -3/2, 1/2, -9\
/2, 0, -2, 2, 0, 0, 0, 3, 1, 1, 1, -2 ], [ -1, 1, -1, 0, -3, 0, -2, 2, 0, 0, 0, 2, 3/2, 3/2, 3/2, -2 ], [ -1, 1/2, -1/2, 1/2, -5/2, 0, -3/2, 3/2, 0, 0, 0,\
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 0 ], [ -1/2, 1/2, -1/2, 1/2, -1/2, 0, -1/2, 3/2, 0, 0, 0, 0, 1, 1, 1, -1/2 ], [ 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, 1, 0, 0, 0, -1/2, -1/2, -1/2, 1/2 ], [ 0,\
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1/2, 0, 0, 1, 1/2, -1/2, -1/2, -1/2, -1/2 ], [ -1/2, 0, 0, 1/2, -1, 0, -1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 1/2, -1/2 ], [ 0, 0, -1/2, 3/2, 1/2, 0, 0, 0, 0, 0\
, 0, 0, 1, 1, 1, 0 ], [ -1/2, 1/2, -1/2, 1/2, -5/2, 0, -3/2, 3/2, 0, 0, 0, 3/2, 1, 1, 1, -3/2 ], [ -1/2, 0, 1/2, 0, 1/2, 0, -1/2, 1/2, 0, 0, 0, -1/2, 1/2,\
 1/2, 1/2, -1/2 ], [ 0, -1/2, 1/2, -1/2, -1/2, 0, 1/2, -1/2, 0, 0, 0, 0, -1, -1, -1, 1/2 ], [ 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, -1/2, -1/2, -1/2\
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0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], projS := [ [ 12, 15/2, 16, 49/2, 21, 16, 25/2, 9, 6, 3 ], [ 17/2, 5, 11, 17, 29/2, 11, 17\
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 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 1, \
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, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0\
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0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeR := [ "A1", "A1", "A2", "A2" ], volindex := 1440, wallrecs := [ rec( GramQ\
 := [ [ -4, 0, -4, -2, -2, 0, -1, 2, -1, 1, -1, -1, 0, 1, 1, 0, -3 ], [ 0, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -4, 12, -144, -70, -\
44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -2, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -2, 2, -44, -20, -16, 8, 10, -2, 8\
, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 0, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -1, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, \
-2, -2, -2 ], [ 2, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -1, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 1, -2\
, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -1, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ -1, 0, 4, 1, 2, -1, -2, 0, 0, -\
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2 ], [ 1, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -3, 0, -4, -2, -2, 0, -2\
, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -12, 0, 4, 4, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -4, 0, 0, 0, 0, 0, 0 ], [ \
4, 0, 0, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0,\
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, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ] ], adjweyl := [ -2, -3, 2, 4, -5, 2, 1, 1, 5, -2, 3, -3, -1, -1, -2, 3, -3, 1, -10, -3, -6, -4, 1, 0, -2, 4 ], emb\
Q := [ [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0,\
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-1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ 0, 0, 4, -6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 1, -2 ], [ 0, -\
3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, \
1, 0, 2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], rootsQ := [ [ 0, \
0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0,\
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 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0,\
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, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0\
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1 ] ], thegtilde := [ [ -1, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, -3, -3, 0, 0, 0, -3, -9, -3, -3, -3, 0, 0, -1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0\
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0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -\
1, -2, 1, -2, 0, -2, 0, 0, 0, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ] ] ), rec( GramQ := [ [ -4, -2, 12, 6, 2, -2, \
-2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -2, -100, -90, -42, -35, 15, 17, 2, 9, 11, -3, 6, 16, 12, 11, -4, -9 ], [ 12, -90, -144, -70, -44, 24, 28, -18, 3\
0, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -42, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -35, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4,\
 4, 0, -2 ], [ -2, 15, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 17, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [\
 4, 2, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 9, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 11, 17, 8, 5, -3,\
 -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, -3, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 6, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2\
, -2, 2, 0 ], [ 0, 16, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 12, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 11, \
8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -4, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -9, -4, -2, -2, 0, -2, 2, -2, 2, \
-2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 10, 4, -4, 0, 0, 0, 0 ], [ 0, 10, -8, 0, 2, 0, 0, 0, 0 ], [ 2, 4, 0, \
-4, 2, 0, 0, 0, 0 ], [ 0, -4, 2, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0,\
 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ -2, 1, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, 1, 0, 1 ], [ -2, 1, -1, 0, 0, 1, 0, 1, -1, 0, 0,\
 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1\
, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -7, 4, 4, -7, 2, 1, 1, 7, -2, 5, -5, -1, -1, -2, 3, -5, 1, -12, -3, -8, -6, 3, 1, -1, 3 ], embQ :=\
 [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, -2, \
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1,\
 -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2,\
 -4, 6, -2, 1, -1, 2, 0, 3, -3, 0, 0, 0, 0, -3, -1, 0, 2, -2, -7, 3, 2, 4, 2 ], [ 0, 2, -4, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 5, \
-2, 0, -2, 1 ], [ 2, 0, 2, -2, -1, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 1, -1, -2, -1, -3 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0,\
 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 3, 3, 4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, -2, 1, 1, -1, 0, 0, 0\
, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 1, 0, 0, 0 ], [ 0, -2, 1, 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 1, 1, 0, 1 ] ], \
rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, \
0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0\
, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0,\
 -1, 0 ], [ -2, 1, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 2, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 1, -1, -1, 0, -1 ], [ -2, 1, -1, 0, 0, 1, 0,\
 1, -1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 2, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1,\
 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, \
0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := \
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -5, -8, -12, -12, -10, -8, -6, -4, -2 ], [ 3, 3, 5, 6, 6, 5, 4, 3, 2, 1 ], [ 3, 3, 4, 7, 6, 5, 4, 3, 2, 1 ], [ -\
3, -3, -4, -6, -5, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -18, 9, 9, -9, 0, 0, 0, 15, 0, 9, -9, -3, -3, 0, 0, -9, -3, -18, -3, -12, -\
12, 9, 4, 0, 4 ], [ 0, -13, 7, 7, -7, 0, 0, 0, 11, 0, 7, -7, -2, -2, 0, 0, -7, -2, -13, -2, -9, -9, 7, 3, 0, 3 ], [ 0, -24, 13, 12, -12, 0, 0, 0, 20, 0, 1\
2, -12, -4, -4, 0, 0, -12, -4, -24, -4, -16, -16, 12, 5, 0, 5 ], [ 0, -36, 18, 19, -18, 0, 0, 0, 30, 0, 18, -18, -6, -6, 0, 0, -18, -6, -36, -6, -24, -24,\
 18, 9, 0, 9 ], [ 0, -32, 16, 16, -15, 0, 0, 0, 26, 0, 16, -16, -5, -5, 0, 0, -16, -5, -31, -5, -21, -21, 16, 8, 0, 8 ], [ 0, -30, 15, 15, -15, 1, 0, 0, 2\
5, 0, 15, -15, -5, -5, 0, 0, -15, -5, -30, -5, -20, -20, 15, 7, 0, 7 ], [ 0, -20, 10, 10, -10, 0, 1, 0, 16, 0, 10, -10, -3, -3, 0, 0, -10, -3, -19, -3, -1\
3, -13, 10, 5, 0, 5 ], [ 0, -14, 7, 7, -7, 0, 0, 1, 11, 0, 7, -7, -2, -2, 0, 0, -7, -2, -13, -2, -9, -9, 7, 3, 0, 3 ], [ 0, -12, 6, 6, -6, 0, 0, 0, 11, 0,\
 6, -6, -2, -2, 0, 0, -6, -2, -12, -2, -8, -8, 6, 3, 0, 3 ], [ 0, -6, 3, 3, -3, 0, 0, 0, 6, -1, 3, -3, -1, -1, -1, 1, -4, 0, -6, -1, -3, -4, 5, 2, 1, 2 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -4, 2, 2, -2, 0, 0, 0, 3, 0, 1, -2, 0, -1, 0, 0, -2, 0, -3, 0, \
-2, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 1, 0, 1 ], [ 0, -4, 2, 2, -2, 0, 0, 0, 4, 0, 2, -\
2, -1, -1, -2, 1, -4, 0, -4, 0, -2, -2, 4, 2, 0, 2 ], [ 0, -4, 2, 2, -2, 0, 0, 0, 4, 0, 2, -2, -1, -1, 0, 0, -1, -1, -5, -1, -3, -3, 2, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -8, 4, 4, -4, 0, 0, 0, 8, 0, 4, -4, -2, -2, 0, 0, -4, -2, -9, -2, -6, -6, \
4, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -4, \
-6, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -6, -50, -34, -18, -16, 4, 2, 6, -2, 4, -4, -1, 4, 6, 4, -2, -8 ], [ 12, -34, -144, -70, -44, 2\
4, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -18, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -16, -44, -20, -16, 8, 10, -2, 8, 5\
, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 4, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, \
-2, -2 ], [ 4, 6, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, -2, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 4, 17\
, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, -4, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, -1, 4, 1, 2, -1, -2, 0, 0, -1, 1\
, -4, -2, -2, -2, 2, 0 ], [ 0, 4, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 6, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ],\
 [ 0, 4, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -8, -4, -2, -2, 0, -2, 2\
, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, 0, -4, 4, 0, 0, 0 ], [ 0, 6, -8, 2, 4, -4, 0, 0, 0 ], [ 2,\
 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -4, 4, 2, -8, 6, 0, 0, 0 ], [ 0, 4, -4, 0, 6, -8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4\
 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0\
, 1, 0 ], [ -2, 1, -1, 1, -1, 0, 1, 1, -1, 0, 0, -1, -1, -1, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0\
, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjw\
eyl := [ 2, -11, 10, 2, -9, 6, -3, 5, 9, -2, 7, -7, -1, -1, -6, 7, -7, 7, -20, -9, -12, -10, 1, -4, -5, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, \
0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 2\
, -2, -1, 0, 1, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, 1, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0,\
 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, -2, 2, -1, -1, -1, 0, -3, -3, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
-1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 1, 3, 1, 1, 0, 0, 0, 0 ] ], r := [ 8, 6, 10, 16, 14, 10, 8, 6, 4, 1 ], rlifts := [ [ 0, -2, 2, 0, -1, 1, -1, 1, 0, 2, 1, -1, 0, 0, -1, 0, -1, 1, -\
2, -1, -2, -1, -1, -2, -2, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, \
2, 1, 2 ], [ 2, -1, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, 2, -1, 0, 1, -1 ], [ -2, 1, -1, 1, -1, 1, 0, 1, -1, 0, 0, -2, -2, 1, 0, -1, 1 ], [ -2, 1, -1, 1, -1, \
1, 0, 1, -1, 0, 0, 0, -1, -1, -2, -1, -1 ], [ 2, -1, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, \
0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 2, -1, 1, -1, 1, -2, 1, -1, 1, 0, 0, 1, 2, -1, 0, 0, -1 ], [ -2, 1, -1, 1, -1, 2, -1, 1, \
-1, 0, 0, -1, -2, 1, 0, 0, 1 ], [ -2, 1, -1, 1, -1, 0, 1, 1, -1, 0, 0, -1, -1, -1, -2, -2, -1 ], [ 2, -1, 1, -1, 1, 0, -1, -1, 1, 0, 0, 1, 1, 1, 2, 2, 1 ]\
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6, 7 ] ], thegtilde := [ [ 1, -52, 52, 52, -104, 26, 26, 26, 32, 0, 52, -52, -3, -3, -26, 26, -52, 10, -100, -16, -94, -42, 0, -26, -52, 26 ], [ 0, -35, 3\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -2, 6, 3, 1, -2, -1, 1, -2, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 6, -144, -70, -44, 36, 28, -6, 30, 17, 9, 4, 28, 12, 8,\
 8, 0, -4 ], [ 3, -70, -38, -20, 16, 11, -6, 14, 8, 6, 1, 8, 6, 2, 2, 0, -2 ], [ 1, -44, -20, -16, 10, 10, 0, 8, 5, 1, 2, 10, 2, 4, 4, 0, -2 ], [ -2, 36, \
16, 10, -14, -9, 0, -10, -5, -3, -1, -12, -6, -2, -2, 0, 0 ], [ -1, 28, 11, 10, -9, -12, 0, -8, -2, -2, -2, -10, -2, -2, -2, -2, -2 ], [ 1, -6, -6, 0, 0, \
0, -6, 2, 0, 3, 0, -4, 0, -2, -2, 0, 2 ], [ -2, 30, 14, 8, -10, -8, 2, -10, -3, -4, 0, -8, -4, 0, 0, -2, -2 ], [ -1, 17, 8, 5, -5, -2, 0, -3, -4, 0, -1, -\
4, -2, -2, -2, 2, 2 ], [ -1, 9, 6, 1, -3, -2, 3, -4, 0, -4, 1, 0, -2, 2, 2, -2, -2 ], [ 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, 0, -2, -2, 2, 0 ], [ -1, \
28, 8, 10, -12, -10, -4, -8, -4, 0, -2, -16, -4, -4, -4, 0, 0 ], [ -1, 12, 6, 2, -6, -2, 0, -4, -2, -2, 0, -4, -4, 0, 0, 0, 0 ], [ 0, 8, 2, 4, -2, -2, -2,\
 0, -2, 2, -2, -4, 0, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, 0, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 0, 2, 2, -4,\
 -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 0, 2, 2, 0 ], [ 0\
, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 2, 0, 0, 0, 2, -4, 0, 0 \
], [ 0, 2, 0, 0, 0, 0, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1,\
 -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0 ], [ 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, -\
1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0,\
 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -3, 2, 2, -5, 2, 0, 3, 5, -2, 4, -4, -1, -1, -2, 3, -4, 2,\
 -10, -3, -6, -4, 0, -1, -2, 3 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 2 ], [ 0, -4, 2, 0, 0, 1, -2, 1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, -2, -1, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1,\
 -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [\
 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 2, 2, 3, 4, 3, 2, 1, 0, 0, 0 ], rlifts := [ [ 0\
, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1,\
 -1, -1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 2, 2, 1, 2 ], [ 0, 0, \
0, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0 ], [ -1, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1\
, 1, -1 ], [ 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -\
2, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0\
, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 1, 0\
, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 1, 1,\
 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2"\
 ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -3, -2, -1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 1, 0, 0, 0, 0, -2, 3, 6, 0, 2, -2, -3, -3, 0, 0, -2, -1, -9, -3, -3, -3, -2, -2\
, -2, 2 ], [ 0, 1, 0, 0, 0, 0, -1, 2, 4, 0, 1, -1, -2, -2, 0, 0, -1, -1, -6, -2, -2, -2, -1, -1, -1, 1 ], [ 0, 1, 1, 0, 0, 0, -3, 5, 8, 0, 3, -3, -4, -4, \
0, 0, -3, -1, -12, -4, -4, -4, -3, -3, -3, 3 ], [ 0, 2, 0, 1, 0, 0, -4, 6, 12, 0, 4, -4, -6, -6, 0, 0, -4, -2, -18, -6, -6, -6, -4, -4, -4, 4 ], [ 0, 2, 0\
, 0, 1, 0, -4, 6, 10, 0, 4, -4, -5, -5, 0, 0, -4, -1, -15, -5, -5, -5, -4, -4, -4, 4 ], [ 0, 3, 0, 0, 0, 1, -3, 3, 10, 0, 3, -3, -5, -5, 0, 0, -3, -2, -15\
, -5, -5, -5, -3, -3, -3, 3 ], [ 0, 2, 0, 0, 0, 0, -2, 4, 6, 0, 3, -3, -3, -3, 0, 0, -3, 0, -9, -3, -3, -3, -3, -3, -3, 3 ], [ 0, 2, 0, 0, 0, 0, -1, 1, 4,\
 0, 1, -1, -2, -2, 0, 0, -1, -1, -6, -2, -2, -2, -1, -1, -1, 1 ], [ 0, 2, 0, 0, 0, 0, -1, 0, 5, 0, 1, -1, -2, -2, 0, 0, -1, -1, -6, -2, -2, -2, -1, -1, -1\
, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 1, 3, -1, 1, -1, -1, -1, -1, 1, -2, 1, -3, -1, 0, -1, 1, 1, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, \
0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1\
, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 1, 0, 0, 0, 0, -1, 1, 2, 0, 1, -1, -1, -1, -2, 1, -3, 1, -2, 0, 0, 0, 1, 1, -1, 3\
 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 1, 1, 1, -1 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -5, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 1, -3, 0, 0, -1, 1,\
 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0,\
 -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -192, -173, -252, -129, -171, -27, -30, 28,\
 -38, -20, -14, -3, -14, -6, -6, 0, 2 ], [ -173, -176, -234, -123, -151, -20, -20, 34, -34, -17, -17, 0, 0, 0, 0, 0, 0 ], [ -252, -234, -334, -172, -224, \
-34, -37, 40, -50, -26, -20, -3, -14, -6, -6, 0, 2 ], [ -129, -123, -172, -90, -114, -17, -18, 22, -26, -13, -11, -1, -6, -2, -2, 0, 0 ], [ -171, -151, -2\
24, -114, -154, -25, -28, 24, -34, -18, -12, -3, -14, -6, -6, 0, 2 ], [ -27, -20, -34, -17, -25, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -30, -20\
, -37, -18, -28, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 28, 34, 40, 22, 24, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -38, -34, -50, -26, \
-34, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -20, -17, -26, -13, -18, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -14, -17, -20, -11, -12, -1\
, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ -3, 0, -3, -1, -3, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ -14, 0, -14, -6, -14, -6, -8, -4, -4, -2, 2,\
 -2, -12, -4, -4, 0, 0 ], [ -6, 0, -6, -2, -6, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ -6, 0, -6, -2, -6, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2,\
 2 ], [ 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 2, 0, 2, 0, 2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0,\
 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 4, 0, -2, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0\
, 4, 0, 0, 2, -8, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, -2, 0, 0, 0, 2, 2, -4, 0 ], [ 0, -2, 0, 0, 0, 2, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, \
0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ -1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, \
0, 0, 0, 0, 0, 1 ], [ -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -5\
, 2, 2, -4, 3, 0, 2, 4, -2, 4, -4, -1, -1, -2, 3, -4, 3, -11, -3, -6, -4, 1, 0, -1, 3 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
, -4, -3, 1, -9, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 1, -9, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, -6, -4, 1, -12, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -3, -2, 0, -7, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -4, -3, 1, -8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1\
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 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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Qperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -2, 1, 2, 0, 1, -1, 0, 0, 1, -1, -1, 0\
, 0, -1, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, \
-1, 3, -1, -1, 0, 1, -1, 0, 0, -1, 1, -1, -1, 0, 2, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, \
0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1\
, 1, 1, 0, 0, 0, 0 ] ], r := [ 2, 2, 3, 4, 3, 2, 2, 2, 2, 1 ], rlifts := [ [ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, \
0, 1 ], [ 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -\
2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, \
0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1\
, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 1, \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0 ], [ 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, \
-1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -3, -2, -2, \
-2, -2, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 3, 2, 2, 2, 1 ], [ 0,\
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:= [ [ 1, -5, 0, 0, 1, 4, -1, 1, 5, 0, 4, -4, -3, -3, 0, 0, -4, 2, -13, -3, -6, -3, 0, 0, 0, 4 ], [ 0, -3, 0, 0, 1, 3, -1, 1, 3, 0, 3, -3, -2, -2, 0, 0, -\
3, 2, -9, -2, -4, -2, 0, 0, 0, 3 ], [ 0, -7, 1, 0, 2, 5, -2, 2, 6, 0, 5, -5, -4, -4, 0, 0, -5, 3, -17, -4, -7, -4, 0, 0, 0, 5 ], [ 0, -10, 0, 1, 2, 8, -2,\
 2, 10, 0, 8, -8, -6, -6, 0, 0, -8, 4, -26, -6, -12, -6, 0, 0, 0, 8 ], [ 0, -8, 0, 0, 3, 6, -2, 2, 8, 0, 6, -6, -5, -5, 0, 0, -6, 3, -21, -5, -9, -5, 0, 0\
, 0, 6 ], [ 0, -8, 0, 0, 2, 7, -2, 2, 8, 0, 6, -6, -5, -5, 0, 0, -6, 3, -21, -5, -9, -5, 0, 0, 0, 6 ], [ 0, -5, 0, 0, 2, 3, -1, 2, 4, 0, 3, -3, -3, -3, 0,\
 0, -3, 2, -12, -3, -4, -3, 0, 0, 0, 3 ], [ 0, -4, 0, 0, 1, 3, -1, 2, 3, 0, 3, -3, -2, -2, 0, 0, -3, 2, -9, -2, -4, -2, 0, 0, 0, 3 ], [ 0, -4, 0, 0, 2, 2,\
 -2, 2, 3, 0, 2, -2, -2, -2, 0, 0, -2, 2, -8, -2, -2, -2, 0, 0, 0, 2 ], [ 0, -2, 0, 0, 1, 1, -1, 1, 2, -1, 1, -1, -1, -1, -1, 1, -2, 2, -4, -1, 0, -1, 2, \
2, 1, 3 ], [ 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, -1 ], [ 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, -1,\
 1, -2, 0, -1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, -2, 0, 0, 1, 1, -1, 1, \
1, 0, 1, -1, -1, -1, -2, 1, -3, 2, -3, 0, 0, 0, 2, 2, 0, 3 ], [ 0, -1, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0, -3, -1, 0, -1, 0, 0, 0, 0 ], [ 0\
, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1 ], [ 0, -3, 0, 0, 1, 2, -1, 1, 3, 0, 2, -2, -2, -2, 0, 0, -2, 1, -7, -2, -3\
, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ :=\
 [ [ -4, 15, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 15, -402, -236, -117, -74, 38, 42, -26, 44, 28, 12, 5, 24, 14, 14, -2, -10 ], [ 12, -2\
36, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -117, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -74, -44, -20\
, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 38, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 42, 28, 11, 10, -7, -12, 2, -8, \
-2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, -26, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 44, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0\
, 0, -2, -2 ], [ -2, 28, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 12, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 5, 4,\
 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 24, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 14, 8, 2, 4, -2, -2, -2, 0, -2\
, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 14, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], \
[ 0, -10, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 2, -6, -2, -2, 2, -6 ], [ 0,\
 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 2, 2, -8, 8, -2, -2, 0, 0 ], [ 0, -6, 0, 8, -16, 2, 0, 2, -6 ], [ 0, -2, 0, -2, 2, -8, -2, 2, -6 ], [ 0, -2, 0, -2, 0, -2\
, -8, 4, -6 ], [ 0, 2, 0, 0, 2, 2, 4, -4, 4 ], [ 0, -6, 0, 0, -6, -6, -6, 4, -12 ] ], Sigma := [ [ -1, 1, -3, 2, -1, 1, 0, 1, -1, 0, 0, -1, -2, -1, -1, -2\
, 1 ], [ -1, 1, -2, 0, 0, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0\
, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, \
0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -5, 2, 6, -10, 4, 0, 3, 7, -2, 5, -\
5, -1, -1, -4, 5, -5, 3, -15, -6, -10, -4, 0, -1, -4, 4 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [\
 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, -5, 9, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,\
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, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1, -1, -1, 1, 1, 2, 1, 0, 1, 0, 0, 0 ], [ 0, 2, -4, \
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -3, 0, -1, 1\
, -2 ], [ 0, 0, 0, 2, -3, 1, 0, 1, -3, 0, -1, 1, 0, 0, 3, -3, 1, 0, 2, 2, 3, 5, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 3, -1, -1, 0, 1, -1, 0, 0, -1, 1, -\
1, -1, 0, 2, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 2, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 0, 0, 0, 0 ] ], r := [ 8, 6, 1\
1, 16, 15, 11, 8, 6, 4, 1 ], rlifts := [ [ 0, -1, 0, 2, -2, 0, 0, 1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -2, -1, -2, 0, 0, 0, -1, 1 ], [ 0, -1, 0, 2, -3, 2, \
-1, 1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -2, -2, 0, -1, -1, -2, 1 ] ], rootsQ := [ [ -1, 1, -3, 2, -1, 1, 0, 1, -1, 0, 0, -1, -2, -1, -1, -2, 1 ], [ 1,\
 -1, 3, -2, 1, -1, 0, -1, 1, 0, 0, 1, 2, 1, 1, 2, -1 ], [ 1, -1, 2, 0, 0, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, -1 ], [ -1, 1, -2, 0, 0, 1, 0, 1, -1, 0, 0, -\
1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, \
0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0\
, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ \
0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0\
, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -11, -16, -15, -11, -8, -6, \
-4, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 12, 22, 33, 30, 22, 16, 12, 8, 2 ], [ -24, -18, -33, -48, -44, -33, -24, -18, -12, -3 ], [ 8, 6, 11, 16,\
 15, 12, 8, 6, 4, 1 ], [ 8, 6, 11, 16, 15, 11, 9, 6, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8, -6, -11, -16, -15, -11, -8, -6, -3, -1 ], [ 16, 12, 2\
2, 32, 30, 22, 16, 12, 8, 3 ] ], thegtilde := [ [ 1, -14, 0, 28, -35, 14, -7, 14, 20, 0, 14, -14, -3, -3, -14, 14, -14, 11, -44, -24, -31, -3, -7, -7, -21\
, 14 ], [ 0, -9, 0, 20, -25, 10, -5, 10, 14, 0, 10, -10, -2, -2, -10, 10, -10, 8, -31, -17, -22, -2, -5, -5, -15, 10 ], [ 0, -19, 1, 38, -48, 20, -10, 19,\
 27, 0, 19, -19, -4, -4, -19, 19, -19, 15, -60, -33, -42, -4, -10, -10, -29, 19 ], [ 0, -28, 0, 57, -70, 28, -14, 28, 40, 0, 28, -28, -6, -6, -28, 28, -28\
, 22, -88, -48, -62, -6, -14, -14, -42, 28 ], [ 0, -25, 0, 50, -62, 26, -13, 25, 35, 0, 25, -25, -5, -5, -25, 25, -25, 20, -78, -43, -55, -5, -13, -13, -3\
8, 25 ], [ 0, -23, 0, 46, -57, 23, -11, 23, 33, 0, 23, -23, -5, -5, -23, 23, -23, 18, -72, -39, -51, -5, -11, -11, -34, 23 ], [ 0, -15, 0, 30, -38, 16, -7\
, 15, 21, 0, 15, -15, -3, -3, -15, 15, -15, 12, -47, -26, -33, -3, -8, -8, -23, 15 ], [ 0, -10, 0, 20, -25, 10, -5, 11, 14, 0, 10, -10, -2, -2, -10, 10, -\
10, 8, -31, -17, -22, -2, -5, -5, -15, 10 ], [ 0, -9, 0, 18, -23, 10, -5, 9, 14, 0, 9, -9, -2, -2, -9, 9, -9, 7, -29, -16, -20, -2, -5, -5, -14, 9 ], [ 0,\
 -4, 0, 8, -10, 4, -2, 4, 7, -1, 4, -4, -1, -1, -5, 5, -5, 4, -13, -7, -8, -1, 0, 0, -5, 6 ], [ 0, -1, 0, 2, -3, 2, -1, 1, 2, 0, 1, -2, 0, -1, -1, 1, -1, \
1, -4, -2, -2, 0, -1, -1, -1, 1 ], [ 0, -2, 0, 4, -5, 2, -1, 2, 3, 0, 1, -2, 0, -1, -2, 2, -2, 2, -6, -3, -4, 0, -1, -1, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, -2, 0, 4, -5, 2, -1, 2, 4, 0, 2, -2, -1, -1, -4, 3, -4, 2, -7, -3, -4, 0, 1, 1,\
 -3, 4 ], [ 0, -3, 0, 6, -8, 4, -2, 3, 5, 0, 3, -3, -1, -1, -3, 3, -2, 2, -11, -6, -7, -1, -2, -2, -5, 3 ], [ 0, 1, 0, -2, 2, 0, 0, -1, -1, 0, -1, 1, 0, 0\
, 1, -1, 1, 0, 2, 1, 2, 0, 0, 0, 1, -1 ], [ 0, -6, 0, 12, -15, 6, -3, 6, 10, 0, 6, -6, -2, -2, -6, 6, -6, 4, -20, -11, -14, -2, -3, -3, -9, 6 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 2, -2, 0, 0, 1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -2, -1, -1, 0, 0, 0,\
 -1, 1 ], [ 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 2, 12, 6,\
 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 2, -136, -121, -55, -43, 21, 24, -2, 18, 14, 0, 4, 22, 12, 12, -2, -8 ], [ 12, -121, -144, -70, -44, 24, \
28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -55, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -43, -44, -20, -16, 8, 10, -2, 8, 5, 1\
, 2, 8, 4, 4, 0, -2 ], [ -2, 21, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 24, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -\
2, -2 ], [ 4, -2, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 18, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 14, 1\
7, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 0, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 4, 4, 1, 2, -1, -2, 0, 0, -1, 1,\
 -4, -2, -2, -2, 2, 0 ], [ 0, 22, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 12, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ]\
, [ 0, 12, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -8, -4, -2, -2, 0, -2,\
 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -16, 2, 6, -6, 0, -6, -4, -18 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ]\
, [ 2, 6, 2, -8, 6, 0, 2, 2, 8 ], [ 0, -6, 0, 6, -8, 2, -2, -2, -8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -6, 0, 2, -2, 2, -8, 0, -10 ], [ 0, -4, 0, 2, -\
2, 0, 0, -4, -6 ], [ 0, -18, 0, 8, -8, 0, -10, -6, -28 ] ], Sigma := [ [ -2, 1, -2, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 1, 0, 1 ], [ -1, 1, -2, 0, 1, 0, 0\
, 2, -2, 0, 0, -1, 0, 0, 0, -1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -6, 2, 6, -9, 3, 3, 1, 6, -2, 6, -6, -1, -1, -4, 5, -6, 2, -15, -3\
, -11, -6, 2, 1, -2, 5 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 1, 1, 3, -3, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, \
0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, \
-1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 3, -3, -1, 0, 2, 3, 2, 1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -3, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, \
1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ],\
 [ 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 3, 2, 0, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ] ], r := [ 8, 6, 11, 16, 15, 12, 9, 7, 6, 2 ], rlifts\
 := [ [ 0, -1, 0, 2, -2, 0, 1, 1, 0, 0, 2, -2, 0, 0, -1, 1, -2, 1, -2, 0, -2, -1, 0, 0, -1, 2 ], [ 0, -2, 0, 2, -2, 1, 1, -1, 1, 0, 1, -1, 0, 0, -1, 1, -1\
, 0, -3, 0, -3, -1, 1, 1, 0, 1 ] ], rootsQ := [ [ -2, 1, -2, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 1, 0, 1 ], [ 2, -1, 2, -1, -1, -1, 0, -1, 1, 0, 0, 1, 1, \
-1, -1, 0, -1 ], [ -1, 1, -2, 0, 1, 0, 0, 2, -2, 0, 0, -1, 0, 0, 0, -1, 2 ], [ 1, -1, 2, 0, -1, 0, 0, -2, 2, 0, 0, 1, 0, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, -\
1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ]\
, [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, \
0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1\
, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", \
"A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -11, -16, -15, -12, -9, -7, -6, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
 ], [ 16, 12, 22, 33, 30, 24, 18, 14, 12, 4 ], [ -16, -12, -22, -32, -29, -24, -18, -14, -12, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 8, 6, 11, 16, 15, \
12, 10, 7, 6, 2 ], [ 8, 6, 11, 16, 15, 12, 9, 8, 6, 2 ], [ -24, -18, -33, -48, -45, -36, -27, -21, -17, -6 ], [ 16, 12, 22, 32, 30, 24, 18, 14, 12, 5 ] ],\
 thegtilde := [ [ 1, -26, 0, 36, -36, 8, 18, 2, 14, 0, 28, -28, -3, -3, -18, 18, -28, 7, -53, -3, -47, -21, 8, 8, -10, 28 ], [ 0, -18, 0, 26, -26, 6, 13, \
1, 10, 0, 20, -20, -2, -2, -13, 13, -20, 5, -38, -2, -34, -15, 6, 6, -7, 20 ], [ 0, -35, 1, 48, -48, 11, 24, 2, 19, 0, 37, -37, -4, -4, -24, 24, -37, 9, -\
71, -4, -63, -28, 11, 11, -13, 37 ], [ 0, -52, 0, 73, -72, 16, 36, 4, 28, 0, 56, -56, -6, -6, -36, 36, -56, 14, -106, -6, -94, -42, 16, 16, -20, 56 ], [ 0\
, -45, 0, 62, -61, 14, 31, 3, 24, 0, 48, -48, -5, -5, -31, 31, -48, 12, -91, -5, -81, -36, 14, 14, -17, 48 ], [ 0, -43, 0, 60, -60, 14, 30, 4, 23, 0, 47, \
-47, -5, -5, -30, 30, -47, 12, -88, -5, -78, -35, 13, 13, -17, 47 ], [ 0, -28, 0, 38, -38, 9, 20, 1, 15, 0, 29, -29, -3, -3, -19, 19, -29, 7, -56, -3, -50\
, -22, 9, 9, -10, 29 ], [ 0, -20, 0, 28, -28, 6, 14, 3, 10, 0, 22, -22, -2, -2, -14, 14, -22, 6, -40, -2, -36, -16, 6, 6, -8, 22 ], [ 0, -20, 0, 28, -28, \
6, 14, 2, 11, 0, 22, -22, -2, -2, -14, 14, -22, 6, -40, -2, -36, -16, 6, 6, -8, 22 ], [ 0, -9, 0, 12, -12, 3, 6, 0, 6, -1, 9, -9, -1, -1, -7, 7, -10, 3, -\
18, -1, -15, -7, 5, 5, -2, 11 ], [ 0, -2, 0, 2, -2, 1, 1, -1, 2, 0, 1, -2, 0, -1, -1, 1, -1, 0, -4, 0, -3, -1, 1, 1, 1, 1 ], [ 0, -5, 0, 8, -8, 1, 4, 2, 2\
, 0, 6, -7, 0, -1, -4, 4, -7, 3, -10, 0, -9, -4, 1, 1, -2, 7 ], [ 0, 1, 0, -2, 2, 0, -1, -1, 0, 0, -2, 2, 1, 0, 1, -1, 2, -1, 2, 0, 2, 1, 0, 0, 1, -2 ], [\
 0, 1, 0, -2, 2, 0, -1, -1, 0, 0, -2, 2, 0, 1, 1, -1, 2, -1, 2, 0, 2, 1, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1,\
 1, 2, 2, 0, 2 ], [ 0, -3, 0, 4, -4, 1, 2, 0, 3, 0, 3, -3, -1, -1, -4, 3, -5, 1, -7, 0, -5, -2, 3, 3, -1, 5 ], [ 0, -7, 0, 10, -10, 2, 5, 1, 4, 0, 8, -8, \
-1, -1, -5, 5, -7, 2, -15, -1, -13, -6, 2, 2, -3, 8 ], [ 0, -1, 0, 2, -2, 0, 1, 1, 0, 0, 2, -2, 0, 0, -1, 1, -2, 2, -2, 0, -2, -1, 0, 0, -1, 2 ], [ 0, -14\
, 0, 20, -20, 4, 10, 2, 8, 0, 16, -16, -2, -2, -10, 10, -16, 4, -29, -2, -26, -12, 4, 4, -6, 16 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 0, -1\
, 1, 1, 1, 1, 0, -1, -1, -1, 1 ], [ 0, -1, 0, 0, 0, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 1, 1, 1, -1 ], [ 0, 1, 0, -2, 2, 0, -1, -1, 0, \
0, -2, 2, 0, 0, 1, -1, 2, -1, 2, 0, 2, 2, 0, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, -6, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0,\
 0 ], [ -6, -20, 20, 7, 5, -6, -9, 6, -9, -3, -3, -4, -6, -1, -2, 0, -3 ], [ 12, 20, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, 7,\
 -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, 5, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, -6, 24, 10, 8, -6, -7, 2\
, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, -9, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, 6, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0,\
 -4, -2, -2, 0, 2 ], [ -4, -9, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, -3, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ],\
 [ -2, -3, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, -4, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, -6, 16, 2, 8, -6, -8, \
-4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, -1, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, -2, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2\
, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -3, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [\
 [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -12, -2, 2, -12, 2, 4, 0, -2 ], [ 0, -2, -8, 4, -8, 2, 0, 0, 0 ], [ 2, 2, 4, -4, 4, 0, 0, 0, 0 ], [ 0, -12, -8, 4, -\
20, 4, 4, 0, -2 ], [ 0, 2, 2, 0, 4, -4, 2, 0, 0 ], [ 0, 4, 0, 0, 4, 2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, -2, 0, 0, -2, 0, 2, 2, -4 ] ], Sig\
ma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ -1, 1, -1, 1, 0, 0, 0, 1, -1, \
0, 0, -1, -1, -1, -1, -1, 0 ], [ -1, 1, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0\
, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0,\
 0, 0, 0 ] ], adjweyl := [ 2, -5, 4, 2, -7, 4, 1, 3, 5, -2, 5, -5, -1, -1, -4, 5, -5, 3, -14, -5, -10, -6, 0, -2, -3, 3 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -2, -1, -2, -3, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2,\
 -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 2, -3, 1, -2, 2, -1,\
 0, 0, 0, 0, 0, 2, -2, 0, 1, 1, 0, 2, 3, 0, -1, -2, -1 ], [ 0, 2, -4, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 5, -2, 0, -2, 1 ], [ 2, 0\
, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 4, -6, 2, -2, 2, -2, 0, -2, 2, 0, 0, 2, -2, 2, 1, 1, -1, 3, 7, \
-2, -2, -4, -2 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, -\
2, 2, 0, 1, -1, 0, 0, -2, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -\
2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 7, 5, 9, 14, 12, 9, 6, 5, 4, 1 ], rlifts := [ [ 0, -1, 1, 0, -1, 1, 0, 1, 0, 0, 1, -1, 0\
, 0, -1, 1, -1, 1, -2, -1, -2, -1, -1, -1, -1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 1, 0, 0, 1, -1, 0, 0, -1, 1, -1, 1, -2, -1, -2, -1, 0, -1, -1, 1 ] ], rootsQ \
:= [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0\
, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 1, -1, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1, 1, 1, 0 ], [ -1, 1, -1, \
1, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 1, -1, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 1, 1, -1 ], [ -1, 1, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1,\
 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0,\
 -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, \
0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, \
0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, \
-1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -7, -4, -9, -14, -12, -9, -6, -5, -4, -1 ], [ 7, 5, 10, 14, 12, 9, 6, 5, 4, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -7\
, -5, -9, -14, -11, -9, -6, -5, -4, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 14, 10, 18, 28, 24, 18, 13, 10, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ \
-14, -10, -18, -28, -24, -18, -12, -10, -7, -2 ], [ 14, 10, 18, 28, 24, 18, 12, 10, 8, 3 ] ], thegtilde := [ [ 1, -13, 13, 0, -13, 13, 0, 13, 6, 0, 13, -1\
3, -3, -3, -13, 13, -13, 10, -35, -16, -29, -16, -7, -13, -13, 6 ], [ 0, -8, 9, 0, -9, 9, 0, 9, 4, 0, 9, -9, -2, -2, -9, 9, -9, 7, -24, -11, -20, -11, -5,\
 -9, -9, 4 ], [ 0, -17, 18, 0, -17, 17, 0, 17, 8, 0, 17, -17, -4, -4, -17, 17, -17, 13, -46, -21, -38, -21, -9, -17, -17, 8 ], [ 0, -26, 26, 1, -26, 26, 0\
, 26, 12, 0, 26, -26, -6, -6, -26, 26, -26, 20, -70, -32, -58, -32, -13, -26, -26, 13 ], [ 0, -22, 22, 0, -21, 22, 0, 22, 10, 0, 22, -22, -5, -5, -22, 22,\
 -22, 17, -59, -27, -49, -27, -11, -22, -22, 11 ], [ 0, -21, 21, 0, -21, 22, 0, 21, 10, 0, 21, -21, -5, -5, -21, 21, -21, 16, -57, -26, -47, -26, -11, -21\
, -21, 10 ], [ 0, -14, 14, 0, -14, 14, 1, 14, 6, 0, 14, -14, -3, -3, -14, 14, -14, 11, -37, -17, -31, -17, -7, -14, -14, 7 ], [ 0, -9, 9, 0, -9, 9, 0, 10,\
 4, 0, 9, -9, -2, -2, -9, 9, -9, 7, -24, -11, -20, -11, -5, -9, -9, 4 ], [ 0, -10, 10, 0, -10, 10, 0, 10, 5, 0, 10, -10, -2, -2, -10, 10, -10, 8, -26, -12\
, -22, -12, -5, -10, -10, 5 ], [ 0, -5, 5, 0, -5, 5, 0, 5, 3, -1, 5, -5, -1, -1, -6, 6, -6, 5, -13, -6, -10, -6, -2, -3, -4, 3 ], [ 0, -2, 2, 0, -2, 2, 0,\
 2, 1, 0, 2, -3, 0, -1, -2, 2, -2, 2, -5, -2, -4, -2, -1, -2, -1, 1 ], [ 0, -2, 2, 0, -2, 2, 0, 2, 1, 0, 1, -2, 0, -1, -2, 2, -2, 2, -5, -2, -4, -2, -1, -\
2, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 1, 2, 0, 1 ], [ 0, -2, 2, 0, -2, 2, 0, 2, 2, 0, 2, -2, -1, -1,\
 -4, 3, -4, 2, -6, -2, -4, -2, 0, 0, -2, 2 ], [ 0, -4, 4, 0, -4, 4, 0, 4, 2, 0, 4, -4, -1, -1, -4, 4, -3, 3, -11, -5, -9, -5, -3, -4, -4, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -6, 6, 0, -6, 6, 0, 6, 4, 0, 6, -6, -2, -2, -6, 6, -6, 4, -17, -8, -14, -8, -3\
, -6, -6, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 2, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, -2, 2, -2,\
 2, -4, -2, -3, -2, -1, -2, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ] ] ), rec( Gram\
Q := [ [ -4, 6, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 6, -138, -132, -64, -43, 21, 22, -10, 22, 16, 4, 2, 16, 10, 9, -2, -8 ], [ 12, -132\
, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -64, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -43, -44, -20, -\
16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 21, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 22, 28, 11, 10, -7, -12, 2, -8, -2,\
 -2, -2, -8, -2, -2, -2, -2 ], [ 4, -10, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 22, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0\
, -2, -2 ], [ -2, 16, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 4, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 2, 4, 1, \
2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 16, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 10, 8, 2, 4, -2, -2, -2, 0, -2, 2,\
 -2, -4, -4, -2, 2, 2 ], [ 0, 9, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, \
-8, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -16, -4, -6, -18, 6, 0, 8, -18 ], [ 0, -4\
, -8, -2, -8, 2, 0, 4, -10 ], [ 2, -6, -2, -8, -6, 2, 0, 4, -10 ], [ 0, -18, -8, -6, -32, 12, 0, 12, -26 ], [ 0, 6, 2, 2, 12, -8, 2, -4, 8 ], [ 0, 0, 0, 0\
, 0, 2, -4, 2, 0 ], [ 0, 8, 4, 4, 12, -4, 2, -8, 12 ], [ 0, -18, -10, -10, -26, 8, 0, 12, -28 ] ], Sigma := [ [ -1, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, -1, 0,\
 -1, -2, -2, 0 ], [ -1, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, \
1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -5, 4, 4, -9, 4, 1, 3, 5\
, -2, 5, -5, -1, -1, -4, 5, -5, 4, -15, -4, -9, -5, 0, -2, -4, 3 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 3, -3, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3,\
 -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 3, -3, -1, 0, 2, 3, 2, 1, 1, 0, 0, 0 ], [ 0\
, 2, -4, 2, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 3, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, -1,\
 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, 0, 1, -3, 0, -1, 1, 0, 0, 5, -5, 1, -1, 3, 3, 4, 6, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0,\
 -2, 2, -1, -1, -1, 0, -3, -3, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1,\
 0, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -2, -3, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ] ], r \
:= [ 10, 7, 13, 20, 18, 13, 10, 7, 6, 2 ], rlifts := [ [ 0, -1, 1, 1, -2, 1, 0, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 1, -3, -1, -2, -1, -1, -2, -2, 0 ], [ 0, -\
1, 1, 1, -2, 1, 0, 1, 0, 0, 1, -1, 0, 0, -1, 1, -2, 2, -2, 0, -1, 0, 0, 0, -1, 1 ] ], rootsQ := [ [ 1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 1, 2, 2, 0 ]\
, [ -1, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, -1, 0, -1, -2, -2, 0 ], [ 1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, -1 ], [ -1, 1, -2, 1, 0, 0, 0, 1, -1,\
 0, 0, -1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0\
, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0\
, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1,\
 -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0,\
 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, \
-1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -10, -6, -13, -20, -18, -13,\
 -10, -7, -6, -2 ], [ 10, 7, 14, 20, 18, 13, 10, 7, 6, 2 ], [ 10, 7, 13, 21, 18, 13, 10, 7, 6, 2 ], [ -30, -21, -39, -60, -53, -39, -30, -21, -18, -6 ], [\
 20, 14, 26, 40, 36, 27, 20, 14, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 14, 26, 40, 36, 26, 20, 15, 12, 4 ], [ -30, -21, -39, -60, -54, -39, -30\
, -21, -17, -6 ], [ 20, 14, 26, 40, 36, 26, 20, 14, 12, 5 ] ], thegtilde := [ [ 1, -16, 16, 16, -32, 16, 0, 16, 6, 0, 16, -16, -3, -3, -16, 16, -16, 21, -\
49, -11, -27, -11, -8, -16, -24, 8 ], [ 0, -10, 11, 11, -22, 11, 0, 11, 4, 0, 11, -11, -2, -2, -11, 11, -10, 14, -34, -8, -19, -8, -6, -12, -17, 5 ], [ 0,\
 -21, 22, 21, -42, 21, 0, 21, 8, 0, 21, -21, -4, -4, -21, 21, -20, 27, -65, -15, -36, -15, -11, -22, -32, 10 ], [ 0, -32, 32, 33, -64, 32, 0, 32, 12, 0, 3\
2, -32, -6, -6, -32, 32, -32, 42, -98, -22, -54, -22, -16, -32, -48, 16 ], [ 0, -28, 28, 28, -55, 28, 0, 28, 10, 0, 28, -28, -5, -5, -28, 28, -28, 37, -85\
, -19, -47, -19, -14, -28, -42, 14 ], [ 0, -25, 25, 25, -50, 26, 0, 25, 10, 0, 25, -25, -5, -5, -25, 25, -24, 32, -78, -18, -43, -18, -13, -26, -38, 12 ],\
 [ 0, -16, 16, 16, -32, 16, 1, 16, 6, 0, 16, -16, -3, -3, -16, 16, -16, 21, -49, -11, -27, -11, -8, -16, -24, 8 ], [ 0, -11, 11, 11, -22, 11, 0, 12, 4, 0,\
 11, -11, -2, -2, -11, 11, -10, 14, -34, -8, -19, -8, -6, -12, -17, 5 ], [ 0, -10, 10, 10, -20, 10, 0, 10, 5, 0, 10, -10, -2, -2, -10, 10, -10, 13, -31, -\
7, -17, -7, -5, -10, -15, 5 ], [ 0, -4, 4, 4, -8, 4, 0, 4, 3, -1, 4, -4, -1, -1, -5, 5, -3, 5, -14, -4, -7, -4, -1, -4, -6, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -2, 2, 2, -4, 2, 0, 2, 1, 0, 1, -2, 0, -1, -2, 2, -2, 3, -6, -1, -3, -1, -1, -2, -2, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 ], [ 0, -2, 2, 2, -4, 2, 0, 2, 2, 0, 2, -2, -1, -1, -4, 3, -2,\
 2, -8, -2, -4, -2, 0, -2, -4, 2 ], [ 0, -2, 2, 2, -4, 2, 0, 2, 2, 0, 2, -2, -1, -1, -2, 2, -1, 2, -8, -2, -4, -2, -1, -2, -3, 1 ], [ 0, 2, -2, -2, 4, -2,\
 0, -2, 0, 0, -2, 2, 0, 0, 2, -2, 2, -2, 5, 1, 3, 1, 1, 2, 3, -1 ], [ 0, -8, 8, 8, -16, 8, 0, 8, 4, 0, 8, -8, -2, -2, -8, 8, -8, 10, -25, -6, -14, -6, -4,\
 -8, -12, 4 ], [ 0, 2, -2, -2, 4, -2, 0, -2, 0, 0, -2, 2, 0, 0, 2, -2, 2, -3, 5, 2, 3, 1, 1, 2, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( G\
ramQ := [ [ -4, 2, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 2, -76, -90, -43, -31, 14, 14, -4, 12, 12, 0, 4, 12, 10, 8, -4, -8 ], [ 12, -90,\
 -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -43, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -31, -44, -20, -1\
6, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 14, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 14, 28, 11, 10, -7, -12, 2, -8, -2, \
-2, -2, -8, -2, -2, -2, -2 ], [ 4, -4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 12, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, \
-2, -2 ], [ -2, 12, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 0, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 4, 4, 1, 2,\
 -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 12, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 10, 8, 2, 4, -2, -2, -2, 0, -2, 2, -\
2, -4, -4, -2, 2, 2 ], [ 0, 8, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -4, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -8\
, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 10, 0, -8, 4, 4, -2, -2 ], [ 0, 10, -20\
, 2, 16, -8, -8, 4, 4 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -8, 16, 2, -20, 10, 8, -4, -4 ], [ 0, 4, -8, 0, 10, -8, -2, 2, 2 ], [ 0, 4, -8, 0, 8, -2, -8\
, 4, 2 ], [ 0, -2, 4, 0, -4, 2, 4, -4, 0 ], [ 0, -2, 4, 0, -4, 2, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ -1, 1, -2, 2, -1, 0, 0, 1, -1, 0, 0, 0, -1, -1, -2, -2, 0 ], [ -2, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0\
, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -6, 6, 2, -8, 4, 1, 2, 5, -2, 4, -4, -1, -1, \
-2, 3, -4, 2, -13, -4, -8, -5, 1, -2, -3, 1 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 2, 0,\
 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, -2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0\
, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -2, 1, 2, 0, 1, -1, 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 2\
, 0, -4, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 2, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0,\
 0, 0, 2, -3, 1, -3, 1, 3, 0, -1, 1, 0, 0, 2, -2, 1, -1, 0, -3, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 3, -1, -1, 0, 1, -1, 0, 0, -1, 1, -1, -1, 0, \
2, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 2, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 6, 4, 7, 12, 11,\
 8, 6, 5, 4, 2 ], rlifts := [ [ 0, -1, 2, 0, -2, 2, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -2, -1, -1, 0, -1, -2, -2, 0 ], [ 0, -2, 2, 0, -1, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1,\
 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 1, \
-1, 2, -2, 1, 0, 0, -1, 1, 0, 0, 0, 1, 1, 2, 2, 0 ], [ -1, 1, -2, 2, -1, 0, 0, 1, -1, 0, 0, 0, -1, -1, -2, -2, 0 ], [ -2, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, -1 ], [ 2, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ \
0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0\
, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, \
-1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], root\
stypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -7, -12, -11, -8, -6, -5, -4, -2 ], [ 12, 8, 15, 2\
4, 22, 16, 12, 10, 8, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -12, -8, -14, -24, -21, -16, -12, -10, -8, -4 ], [ 6, 4, 7, 12, 11, 9, 6, 5, 4, 2 ], [ 6, 4\
, 7, 12, 11, 8, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -6, -4, -7, -12, -11, -8, -6, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtild\
e := [ [ 1, -14, 20, 0, -16, 12, -2, 6, 6, 0, 6, -6, -3, -3, 0, 0, -6, 3, -25, -9, -13, -7, -2, -12, -12, -4 ], [ 0, -9, 14, 0, -11, 8, -1, 4, 4, 0, 4, -4\
, -2, -2, 0, 0, -4, 2, -17, -6, -9, -5, -1, -8, -8, -3 ], [ 0, -17, 25, 0, -19, 14, -2, 7, 8, 0, 7, -7, -4, -4, 0, 0, -7, 3, -31, -11, -16, -9, -2, -14, -\
14, -5 ], [ 0, -28, 40, 1, -32, 24, -4, 12, 12, 0, 12, -12, -6, -6, 0, 0, -12, 6, -50, -18, -26, -14, -4, -24, -24, -8 ], [ 0, -24, 34, 0, -26, 20, -3, 10\
, 10, 0, 10, -10, -5, -5, 0, 0, -10, 5, -42, -15, -22, -12, -3, -20, -20, -7 ], [ 0, -24, 34, 0, -27, 21, -3, 10, 10, 0, 10, -10, -5, -5, 0, 0, -10, 5, -4\
2, -15, -22, -12, -3, -20, -20, -7 ], [ 0, -14, 20, 0, -16, 12, -1, 6, 6, 0, 6, -6, -3, -3, 0, 0, -6, 3, -25, -9, -13, -7, -2, -12, -12, -4 ], [ 0, -11, 1\
6, 0, -13, 10, -2, 6, 4, 0, 5, -5, -2, -2, 0, 0, -5, 3, -19, -7, -10, -5, -2, -10, -10, -3 ], [ 0, -11, 16, 0, -13, 10, -2, 5, 5, 0, 5, -5, -2, -2, 0, 0, \
-5, 3, -19, -7, -10, -5, -2, -10, -10, -3 ], [ 0, -6, 8, 0, -6, 4, 0, 2, 3, -1, 2, -2, -1, -1, -1, 1, -3, 2, -9, -3, -4, -3, 2, -2, -3, 0 ], [ 0, -2, 2, 0\
, -1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -2, 0, -1, -1, 1, 0, 1, -1 ], [ 0, -2, 4, 0, -4, 4, -2, 2, 1, 0, 1, -2, 0, -1, 0, 0, -2, 2, -5, -2, -2, 0, \
-2, -4, -3, 0 ], [ 0, 1, -2, 0, 2, -2, 1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 1, -1, 2, 1, 1, 0, 1, 2, 2, 0 ], [ 0, 1, -2, 0, 2, -2, 1, -1, 0, 0, -1, 1, 0, 1, 0,\
 0, 1, -1, 2, 1, 1, 0, 1, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, -5, 6, 0, -4, 2, 1, 1, 2, 0,\
 1, -1, -1, -1, -2, 1, -3, 1, -6, -1, -3, -2, 3, 0, -2, 0 ], [ 0, -4, 6, 0, -5, 4, -1, 2, 2, 0, 2, -2, -1, -1, 0, 0, -1, 1, -8, -3, -4, -2, -1, -4, -4, -1\
 ], [ 0, 1, 0, 0, -1, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 2, -1, -1, 0, 1, -2, -2, -2, 1 ], [ 0, -8, 12, 0, -10, 8, -2, 4, 4, 0, 4, -4, -2, -2, 0, 0, -\
4, 2, -15, -6, -8, -4, -2, -8, -8, -2 ], [ 0, -1, 2, 0, -2, 2, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -2, 0, -1, 0, -1, -2, -2, 0 ], [ 0, -1, 0, 0, 1, -2,\
 2, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, 2, 2, 2, -1 ], [ 0, 1, -2, 0, 2, -2, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 2, 1, 1, 1, 1, 2, 2, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, -2, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -2, -42, -46, -24, -17, 6, 4, 2, 2, 6, -2, -1, 4\
, 6, 4, -2, -8 ], [ 12, -46, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -24, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, \
-2 ], [ 2, -17, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 6, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 4, 28, 11\
, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, 2, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 2, 30, 14, 8, -6, -8, 6, -1\
0, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 6, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2\
, -2 ], [ 0, -1, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 4, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 6, 8, 2, 4, \
-2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 4, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, \
2, 2, -4, -2 ], [ 0, -8, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, -4, 0, 2, \
-8, 2 ], [ 0, 2, -8, 2, 0, 0, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -4, 0, 2, -8, 2, 2, -8, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 2, 0, 0, \
2, 2, -4, 4, 0 ], [ 0, -8, -4, 0, -8, 0, 4, -20, 6 ], [ 0, 2, 2, 0, 2, 0, 0, 6, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 \
], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0,\
 -1, 0, 0, 0, 1 ], [ -2, 1, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0 ], [ -1, 1, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -6, 6, 2, -7, 2, 3, 0, 7, -2, 5, -5, -\
1, -1, -4, 5, -5, 1, -14, -3, -10, -9, 3, 0, -1, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0\
, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1\
, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, \
0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -4, 2, 0, 0, 1, -2, 1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, -2, -1, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, 1, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1,\
 -2 ], [ 0, -1, 0, 2, -3, 2, -2, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -1, -3, 0, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1\
, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0\
, 0, 0, 0, -2, 2, 0, 1, -3, -5, -3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 6, 4, 7\
, 12, 11, 9, 7, 5, 4, 1 ], rlifts := [ [ 0, -2, 2, 0, -1, 0, 1, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1, 0, -2, 0, -2, -2, 1, 0, 0, 0 ], [ 0, -1, 2, 0, -1, 0, 1, \
-1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 0, -2, 0, -2, -3, 1, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, \
0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0\
, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -\
1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 2, -1, 1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 0, 0 ], [ -2, 1, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0\
, 0 ], [ -1, 1, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0 ], [ 1, -1, 1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, \
-1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0,\
 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -7, -12, -11, -9, -7, -5, -4, -1 ], [ \
12, 8, 15, 24, 22, 18, 14, 10, 8, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -12, -10, -9, -7, -5, -4, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 4, 7, 12, 11, 9, 7, 6, 4, 1 ], [ -12, -8, -14, -24, -22, -18, -14, -10, -7, -2 ], [ 12, 8, 14, 24, 22, 18, 14, 10, 8\
, 3 ] ], thegtilde := [ [ 1, -20, 26, 0, -13, 0, 13, -6, 19, 0, 13, -13, -3, -3, -13, 13, -13, -3, -35, -3, -29, -35, 13, 0, 0, 0 ], [ 0, -13, 18, 0, -9, \
0, 9, -4, 13, 0, 9, -9, -2, -2, -9, 9, -9, -2, -24, -2, -20, -24, 9, 0, 0, 0 ], [ 0, -24, 33, 0, -16, 0, 16, -8, 24, 0, 16, -16, -4, -4, -16, 16, -16, -4,\
 -44, -4, -36, -44, 16, 0, 0, 0 ], [ 0, -40, 52, 1, -26, 0, 26, -12, 38, 0, 26, -26, -6, -6, -26, 26, -26, -6, -70, -6, -58, -70, 26, 0, 0, 0 ], [ 0, -33,\
 44, 0, -21, 0, 22, -11, 32, 0, 22, -22, -5, -5, -22, 22, -22, -5, -59, -5, -49, -60, 22, 0, 0, 0 ], [ 0, -32, 42, 0, -21, 1, 21, -10, 31, 0, 21, -21, -5,\
 -5, -21, 21, -21, -5, -57, -5, -47, -57, 21, 0, 0, 0 ], [ 0, -19, 26, 0, -13, 0, 14, -7, 19, 0, 13, -13, -3, -3, -13, 13, -13, -3, -35, -3, -29, -36, 13,\
 0, 0, 0 ], [ 0, -15, 20, 0, -10, 0, 10, -4, 14, 0, 10, -10, -2, -2, -10, 10, -10, -2, -26, -2, -22, -27, 10, 0, 0, 0 ], [ 0, -13, 18, 0, -9, 0, 9, -5, 14\
, 0, 9, -9, -2, -2, -9, 9, -9, -2, -24, -2, -20, -25, 9, 0, 0, 0 ], [ 0, -4, 6, 0, -3, 0, 3, -2, 6, -1, 3, -3, -1, -1, -4, 4, -4, 0, -9, -1, -6, -9, 5, 2,\
 1, 2 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ], [ 0, -5, 6, 0, -3, 0, 3, -1, 4, 0, 2, -3, 0, -1, -3, 3, -3\
, 0, -7, 0, -6, -7, 3, 0, 1, 0 ], [ 0, 2, -2, 0, 1, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 1, 0, 2, 0, 2, 2, -1, 0, 0, 0 ], [ 0, 2, -2, 0, 1, 0, -1, 0, -1, \
0, -1, 1, 0, 1, 1, -1, 1, 0, 2, 0, 2, 2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 1, 0, 0, \
0, 0, 0, -1, 2, 0, 0, 0, -1, -1, -2, 1, -2, 0, -2, 0, 0, -1, 2, 2, 0, 2 ], [ 0, -4, 6, 0, -3, 0, 3, -2, 5, 0, 3, -3, -1, -1, -3, 3, -2, -1, -9, -1, -7, -9\
, 3, 0, 0, 0 ], [ 0, -2, 2, 0, -1, 0, 1, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -2, 0, -2, -2, 1, 0, 0, 0 ], [ 0, -11, 14, 0, -7, 0, 7, -3, 11, 0, 7, -7, -2,\
 -2, -7, 7, -7, -2, -19, -2, -16, -19, 7, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -2, 0, 1, 0\
, -1, 0, -1, 0, -1, 1, 0, 0, 1, -1, 1, 0, 2, 0, 3, 2, -1, 0, 0, 0 ], [ 0, 3, -2, 0, 1, 0, -1, -1, -1, 0, -1, 1, 0, 0, 1, -1, 1, 0, 2, 0, 2, 2, -1, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0 ], [ 12, -144, -70, -44, 24, 40, -18, 30, 17, 9, 4,\
 12, 16, 8, 8, 0, -4 ], [ 6, -70, -38, -20, 10, 13, -12, 14, 8, 6, 1, 2, 2, 2, 2, 0, -2 ], [ 2, -44, -20, -16, 8, 16, -2, 8, 5, 1, 2, 6, 8, 4, 4, 0, -2 ],\
 [ -2, 24, 10, 8, -6, -11, 2, -6, -3, -1, -1, -4, -6, -2, -2, 0, 0 ], [ -2, 40, 13, 16, -11, -34, 0, -10, -4, 0, -7, -16, -16, -6, -6, 0, -2 ], [ 4, -18, \
-12, -2, 2, 0, -10, 6, 2, 5, 0, -2, -4, -2, -2, 0, 2 ], [ -4, 30, 14, 8, -6, -10, 6, -10, -3, -4, 0, -2, -4, 0, 0, -2, -2 ], [ -2, 17, 8, 5, -3, -4, 2, -3\
, -4, 0, -1, -2, -2, -2, -2, 2, 2 ], [ -2, 9, 6, 1, -1, 0, 5, -4, 0, -4, 1, 2, 2, 2, 2, -2, -2 ], [ 0, 4, 1, 2, -1, -7, 0, 0, -1, 1, -4, -5, -2, -2, -2, 2\
, 0 ], [ 0, 12, 2, 6, -4, -16, -2, -2, -2, 2, -5, -10, -8, -4, -4, 2, 0 ], [ 0, 16, 2, 8, -6, -16, -4, -4, -2, 2, -2, -8, -12, -4, -4, 0, 0 ], [ 0, 8, 2, \
4, -2, -6, -2, 0, -2, 2, -2, -4, -4, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -6, -2, 0, -2, 2, -2, -4, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, \
2, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0,\
 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, \
0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 2, 2, 1, 2 ], \
[ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0\
, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, \
0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -3, 2, 2, -5, 2, 1, 1, 5, -2, 3, -3, -1, -1, 2, -1, -3, -1, -8, -1, -4, -2, 1, 0, -1, 2 ], embQ := [\
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0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, \
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, [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -2, -3, \
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ts := [ [ 0, 0, 0, 0, 0, 0, 1, 0, -1, 2, 1, -1, 0, 0, -1, 0, -1, 0, -1, 1, -2, -1, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1\
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1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, \
1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1,\
 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A2", "A2", "A3" \
], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 12, 8, 16, 24, 20, 16, 12, 9, 8, 2 ], [ -18, -12, -24, \
-36, -30, -24, -18, -12, -11, -3 ], [ 12, 8, 16, 24, 20, 16, 12, 8, 8, 3 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 12, 0, 6, 0, 12, -12, -3, -3, -12, 12, -1\
2, 3, -27, 3, -21, -21, 0, 0, 0, 12 ], [ 0, 1, 0, 0, 0, 0, 8, 0, 4, 0, 8, -8, -2, -2, -8, 8, -8, 2, -18, 2, -14, -14, 0, 0, 0, 8 ], [ 0, 0, 1, 0, 0, 0, 16\
, 0, 8, 0, 16, -16, -4, -4, -16, 16, -16, 4, -36, 4, -28, -28, 0, 0, 0, 16 ], [ 0, 0, 0, 1, 0, 0, 24, 0, 12, 0, 24, -24, -6, -6, -24, 24, -24, 6, -54, 6, \
-42, -42, 0, 0, 0, 24 ], [ 0, 0, 0, 0, 1, 0, 20, 0, 10, 0, 20, -20, -5, -5, -20, 20, -20, 5, -45, 5, -35, -35, 0, 0, 0, 20 ], [ 0, 0, 0, 0, 0, 1, 18, 0, 1\
0, 0, 18, -18, -5, -5, -18, 18, -18, 4, -42, 4, -32, -32, 0, 0, 0, 18 ], [ 0, 0, 0, 0, 0, 0, 13, 0, 6, 0, 12, -12, -3, -3, -12, 12, -12, 3, -27, 3, -21, -\
21, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 0, 8, 1, 4, 0, 8, -8, -2, -2, -8, 8, -8, 2, -18, 2, -14, -14, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 8, -8, -2,\
 -2, -8, 8, -8, 2, -18, 2, -14, -14, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 3, 0, 3, -1, 3, -3, -1, -1, -3, 4, -3, 1, -8, 0, -5, -6, 1, 1, 1, 4 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, -2, 0, -1, -2, 2, -2, 1, -4, 1, -3, -3, 0, 0, \
1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 1, 0,\
 -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, -1, -1, -2, 2, -1, 0, -6, 0, -4, -4, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6, 0, 4, 0, 6, -6, -2, -2, -6, 6, -6, 1, -14, 1, -11, -11, 0, 0, 0, 6 ], [ 0, 0, \
0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, -2, 2, -1, 3, 0, 3, 3, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 3, 3, -1, 1, -2, 4,\
 -1, -2, -2, 0, 3, 3, 0, 0, 0, 0 ], [ 3, -90, -43, -32, 15, 22, -6, 15, 11, 3, 4, 13, -3, 8, 8, 0, -4 ], [ 3, -43, -26, -13, 4, 9, -8, 6, 6, 4, 1, -2, -4,\
 2, 2, 0, -2 ], [ -1, -32, -13, -14, 7, 8, 2, 5, 3, -1, 2, 9, 1, 4, 4, 0, -2 ], [ 1, 15, 4, 7, -6, -5, -2, -4, -1, 1, -1, -8, -2, -2, -2, 0, 0 ], [ -2, 22\
, 9, 8, -5, -12, 2, -6, -2, -2, -2, -6, 2, -2, -2, -2, -2 ], [ 4, -6, -8, 2, -2, 2, -10, 2, 2, 5, 0, -8, -4, -2, -2, 0, 2 ], [ -1, 15, 6, 5, -4, -6, 2, -6\
, -1, -2, 0, -4, 0, 0, 0, -2, -2 ], [ -2, 11, 6, 3, -1, -2, 2, -1, -4, 0, -1, 0, 2, -2, -2, 2, 2 ], [ -2, 3, 4, -1, 1, -2, 5, -2, 0, -4, 1, 4, 2, 2, 2, -2\
, -2 ], [ 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, 0, -2, -2, 2, 0 ], [ 3, 13, -2, 9, -8, -6, -8, -4, 0, 4, -2, -16, -4, -4, -4, 0, 0 ], [ 3, -3, -4, 1, -\
2, 2, -4, 0, 2, 2, 0, -4, -4, 0, 0, 0, 0 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, 0, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, 0, \
-2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], GramQperp := \
[ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, \
0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -8, 8, -2 ], [ 0, 0, 0, 0, 0, 0, 8, -12, 4 ], [ 0, 0, 0, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -1\
, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, -1, 1, 0, 0,\
 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ] ], adjw\
eyl := [ 2, -4, 2, 2, -5, 3, 0, 1, 6, -2, 3, -3, -1, -1, -2, 3, -3, 1, -11, -5, -7, -4, 1, 0, -1, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0\
, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 2, -1, -1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQp\
erp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0\
, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, \
2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, -1, -1, 3, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, -1, 1, 1, 1, 0 ]\
, [ 0, -1, 0, 0, 0, 1, 1, 0, -3, 0, 0, 0, 0, 0, -2, 2, 0, 2, -1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1\
, 1, 0, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], rlifts := [ [ 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -2, -2, -\
1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 2, 2, 1, 2 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0,\
 0, 1, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 1, -2, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, \
0, 1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 1, 1, 0,\
 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, -1, 1\
, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0\
, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -1, 0, 0, 0, 0\
, 0, 1, 6, 0, 0, 0, -3, -3, 0, 0, 0, -3, -9, -4, -3, -3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -6, -3, -2, -2, 0, 0, 0,\
 0 ], [ 0, -1, 1, 0, 0, 0, 0, 1, 8, 0, 0, 0, -4, -4, 0, 0, 0, -4, -12, -5, -4, -4, 0, 0, 0, 0 ], [ 0, -2, 0, 1, 0, 0, 0, 2, 12, 0, 0, 0, -6, -6, 0, 0, 0, \
-6, -18, -8, -6, -6, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 1, 10, 0, 0, 0, -5, -5, 0, 0, 0, -5, -15, -6, -5, -5, 0, 0, 0, 0 ], [ 0, -2, 0, 0, 0, 2, -1, 1,\
 11, 0, 0, 0, -5, -5, 0, 0, 0, -5, -16, -8, -6, -5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, 7, 0, 0, 0, -3, -3, 0, 0, 0, -3, -10, -4, -4, -3, 0, 0, 0, 0 \
], [ 0, -1, 0, 0, 0, 1, -1, 1, 5, 0, 0, 0, -2, -2, 0, 0, 0, -2, -7, -4, -3, -2, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 6, 0, 0, 0, -2, -2, 0, 0, 0, -2,\
 -7, -4, -3, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 4, -1, 0, 0, -1, -1, -1, 1, -1, 0, -4, -2, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 2,\
 0, 0, -1, 0, -1, 0, 0, 0, 0, -2, -1, -1, 0, 0, 0, 1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 1, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 3, 0, 0, 0, -1, -1, -2, 1, -2, 0, -3, \
-1, -1, 0, 2, 2, 0, 2 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 3, 0, 0, 0, -1, -1, 0, 0, 1, -1, -4, -3, -2, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -5, -3, -2, -2, 0, 0, 0, 0 ], [ 0, -2, 0, 0, 0, \
1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 8, 2, 0, -4, -4, 2, -4, -\
2, -2, 0, -2, -2, 0, 0, 0, 0 ], [ 8, -92, -34, -27, 29, 33, -1, 22, 13, 5, 4, 25, 9, 8, 8, 0, -4 ], [ 2, -34, -18, -11, 7, 8, -3, 6, 4, 2, 1, 3, 1, 2, 2, \
0, -2 ], [ 0, -27, -11, -12, 6, 8, 2, 4, 3, -1, 2, 8, 0, 4, 4, 0, -2 ], [ -4, 29, 7, 6, -14, -15, 0, -10, -5, -3, -1, -12, -6, -2, -2, 0, 0 ], [ -4, 33, 8\
, 8, -15, -20, 0, -12, -4, -4, -2, -14, -6, -2, -2, -2, -2 ], [ 2, -1, -3, 2, 0, 0, -6, 2, 0, 3, 0, -4, 0, -2, -2, 0, 2 ], [ -4, 22, 6, 4, -10, -12, 2, -1\
0, -3, -4, 0, -8, -4, 0, 0, -2, -2 ], [ -2, 13, 4, 3, -5, -4, 0, -3, -4, 0, -1, -4, -2, -2, -2, 2, 2 ], [ -2, 5, 2, -1, -3, -4, 3, -4, 0, -4, 1, 0, -2, 2,\
 2, -2, -2 ], [ 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, 0, -2, -2, 2, 0 ], [ -2, 25, 3, 8, -12, -14, -4, -8, -4, 0, -2, -16, -4, -4, -4, 0, 0 ], [ -2, 9,\
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-2, -4, 0, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], Gr\
amQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2,\
 -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 8, -2, 0 ], [ 0, 0, 0, 0, 0, 8, -12, 4, 0 ], [ 0, 0, 0, 0, 0, -2, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Si\
gma := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0\
, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, \
1, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 \
] ], adjweyl := [ 2, -3, 2, 2, -4, 1, 1, 0, 6, -2, 3, -3, -1, -1, -2, 3, -3, 1, -10, -2, -5, -5, 2, 1, 0, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, \
0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, -3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -2, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -\
1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],\
 embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1\
, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0,\
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, -2, 3, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, -2, 1, 3, -1, -2, 1, 1, 1, 1 ], [ 0, -2, 0, 0, 1, 1, -2, -1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3, -1, -1, 1, 1,\
 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, \
1, 1, 1, 0, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1,\
 0 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -1, -2, -2\
, -1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0\
, 0, -1, 0, 0, 0, 0, -1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0\
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0, 2, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, \
0, 0, 1, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0,\
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0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, -4, 0, 0, 0, -4, -12, -4, -4, -4, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 12, 0, 0, 0, -6, -6, 0, \
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 1, 9, 0, 0, 0, -5, -5, 0, 0, 0, -5, -14, -5, -5, -5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 2, 0, 0, 6, 0, 0, 0, -3, -3, 0, 0, 0, -3, -10, -4, -4, -2, -1, -1, -\
1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -6, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 4, 0, 0, 0, -2, -2, 0, 0, 0, -\
2, -6, -3, -3, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 2, -1, 0, 0, -1, -1, -1, 1, -1, 0, -3, -2, -1, 0, 1, 1, 0, 2 ], [ 0, 0, 0, 0, -1, 1, 0, 1, \
0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, -1, -2, 1, -2, 0, -1, 0\
, 0, 0, 2, 2, 0, 2 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -2, -2, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -5, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, -1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 10, 6, 2, 0, 0, 4, -2, \
-2, -2, 0, 2, 2, 0, 0, 0, 0 ], [ 10, -118, -62, -40, 11, 15, -14, 15, 15, 7, 4, 5, -11, 8, 8, 0, -4 ], [ 6, -62, -38, -20, 2, 3, -12, 6, 8, 6, 1, -6, -8, \
2, 2, 0, -2 ], [ 2, -40, -20, -16, 4, 6, -2, 4, 5, 1, 2, 4, -4, 4, 4, 0, -2 ], [ 0, 11, 2, 4, -6, -7, -2, -4, -1, 1, -1, -8, -2, -2, -2, 0, 0 ], [ 0, 15, \
3, 6, -7, -12, -2, -6, 0, 0, -2, -10, -2, -2, -2, -2, -2 ], [ 4, -14, -12, -2, -2, -2, -10, 2, 2, 5, 0, -8, -4, -2, -2, 0, 2 ], [ -2, 15, 6, 4, -4, -6, 2,\
 -6, -1, -2, 0, -4, 0, 0, 0, -2, -2 ], [ -2, 15, 8, 5, -1, 0, 2, -1, -4, 0, -1, 0, 2, -2, -2, 2, 2 ], [ -2, 7, 6, 1, 1, 0, 5, -2, 0, -4, 1, 4, 2, 2, 2, -2\
, -2 ], [ 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, 0, -2, -2, 2, 0 ], [ 2, 5, -6, 4, -8, -10, -8, -4, 0, 4, -2, -16, -4, -4, -4, 0, 0 ], [ 2, -11, -8, -4,\
 -2, -2, -4, 0, 2, 2, 0, -4, -4, 0, 0, 0, 0 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, 0, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, \
0, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], GramQperp \
:= [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -8, 8, \
-2, 0, 0 ], [ 0, 0, 0, 0, 8, -12, 4, 0, 0 ], [ 0, 0, 0, 0, -2, 4, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [\
 [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 1, 1, 1, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0\
, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ] ], a\
djweyl := [ 2, -3, 2, 2, -5, 1, 3, 0, 6, -2, 4, -4, -1, -1, -2, 3, -4, -1, -10, -2, -8, -6, 2, 1, 0, 3 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -2, 5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -\
3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1, \
0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQ\
perp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, \
0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, -1, 2, -2, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -2, 0, 4, -2, -2, -3, -1 ], [ 0, 0, 0, 0, 2, -3,\
 2, -3, 3, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 3, 0, -4, 3, 3, 3, 1 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1,\
 0, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, -1, 1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 0, 0, 1\
 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, -1, 1, 1, 1, 0 ] ], rootsQ := [ [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1,\
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, -1, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,\
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 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, -1, 1, 1, -1, 5, 0, 1, -1, -2, -2, 0, 0, -1, \
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ec( GramQ := [ [ -4, 12, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 12, -250, -184, -92, -56, 28, 30, -22, 34, 22, 10, 3, 16, 10, 10, -2, -8 ]\
, [ 12, -184, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -92, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -56,\
 -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 28, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 30, 28, 11, 10, -7, -12\
, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, -22, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 34, 30, 14, 8, -6, -8, 6, -10, -3, -4,\
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-2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 10, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -\
4, -2 ], [ 0, -8, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], \
[ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 10, -4, -4, 0, 8 ], [ 0, 0, 0, 10, -20, 10, 8, 0, -16 ], [ 0, 0, 0, -4, 10, -8, -2, 0, 8 ], [ 0, 0, 0, -4, \
8, -2, -8, 2, 8 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 8, -16, 8, 8, 4, -28 ] ], Sigma := [ [ -1, 1, -3, 2, 0, -1, 1, 1, -1, 0, 0, -1, -1, -2, -2, \
-3, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2\
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0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -7, 2, 10, -17, 10, 1, 5, 5, -2, 7, -7, -1, -1, -6, 7, -7, 7, -24, -9, -16, -2, -3, -4, -9, 6 \
], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, \
1, 3, -5, 7, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0\
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1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [\
 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -3, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, \
4, -4, 1, -1, 2, 1, 3, 5, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, -2, 2, -1, -1, -1, 0, -3, -3, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1\
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 [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ] ], r := [ 12, 8, 16, 24, 22, 16, 12, 10, 8, 3 ], rlifts := [ [ 0, -1,\
 0, 2, -3, 2, 0, 1, -1, 2, 1, -1, 0, 0, -1, 0, -1, 1, -3, -1, -3, 1, -2, -2, -3, 0 ] ], rootsQ := [ [ 1, -1, 3, -2, 0, 0, 0, -1, 1, 0, 0, 2, 2, 0, 0, 2, -\
2 ], [ -1, 1, -3, 2, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, -2, 2 ], [ 1, -1, 3, -2, 0, -1, 1, -1, 1, 0, 0, 1, 2, 0, 0, 1, -2 ], [ -1, 1, -3, 2, 0, 1, -1, 1,\
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], [ 1, -1, 3, -2, 0, 0, 0, -1, 1, 0, 0, 0, 1, 2, 2, 2, 0 ], [ -1, 1, -3, 2, 0, 0, 0, 1, -1, 0, 0, 0, -1, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0\
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0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1,\
 -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1,\
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, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0\
 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A2", "A2", "A3" ],\
 theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 16, 32, 49, 44, 32, 24, 20, 16, 6 ]\
, [ -48, -32, -64, -96, -87, -64, -48, -40, -32, -12 ], [ 24, 16, 32, 48, 44, 33, 24, 20, 16, 6 ], [ 24, 16, 32, 48, 44, 32, 25, 20, 16, 6 ], [ 0, 0, 0, 0\
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0, 40, 0, 20, 6, 0, 20, -20, -3, -3, -20, 20, -20, 27, -79, -33, -53, 7, -20, -20, -40, 20 ], [ 0, -13, 0, 28, -42, 28, 0, 14, 4, 0, 14, -14, -2, -2, -14,\
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68, 0, 34, 10, 0, 34, -34, -5, -5, -34, 34, -34, 46, -134, -56, -90, 12, -34, -34, -68, 34 ], [ 0, -34, 0, 68, -102, 69, 0, 34, 10, 0, 34, -34, -5, -5, -3\
4, 34, -34, 46, -134, -56, -90, 12, -34, -34, -68, 34 ], [ 0, -20, 0, 40, -60, 40, 1, 20, 6, 0, 20, -20, -3, -3, -20, 20, -20, 27, -79, -33, -53, 7, -20, \
-20, -40, 20 ], [ 0, -16, 0, 32, -48, 32, 0, 17, 4, 0, 16, -16, -2, -2, -16, 16, -16, 22, -62, -26, -42, 6, -16, -16, -32, 16 ], [ 0, -16, 0, 32, -48, 32,\
 0, 16, 5, 0, 16, -16, -2, -2, -16, 16, -16, 22, -62, -26, -42, 6, -16, -16, -32, 16 ], [ 0, -7, 0, 14, -21, 14, 0, 7, 3, -1, 7, -7, -1, -1, -7, 8, -7, 10\
, -28, -12, -18, 2, -6, -6, -13, 8 ], [ 0, -2, 0, 4, -6, 4, 0, 2, 1, 0, 2, -3, 0, -1, -2, 2, -2, 3, -8, -3, -5, 1, -2, -2, -3, 2 ], [ 0, -4, 0, 8, -12, 8,\
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, 4, -2 ], [ 0, 2, 0, -4, 6, -4, 0, -2, 0, 0, -2, 2, 0, 1, 2, -2, 2, -3, 7, 3, 5, -1, 2, 2, 4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -4, 0, 8, -12, 8, 0, 4, 2, 0, 4, -4, -1, -1, -4, 5, -4, 5, -17, -7, -11, 1, -4, -4, -8, 4 ], [ 0, -6, 0, 12, -18, 12, 0,\
 6, 2, 0, 6, -6, -1, -1, -6, 6, -5, 8, -24, -10, -16, 2, -6, -6, -12, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, -12, 0, 24, -36, 24, 0, 12, 4, 0, 12, -12, -2, -2, -12, 12, -12, 16, -47, -20, -32, 4, -12, -12, -24, 12 ], [ 0, -2, 0, 4, -6, 4, 0, 2, 0, 0, 2, -\
2, 0, 0, -2, 2, -2, 3, -7, -2, -5, 1, -2, -2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 2, 0, -4, 6,\
 -4, 0, -2, 0, 0, -2, 2, 0, 0, 2, -2, 2, -3, 7, 3, 5, 0, 2, 2, 4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 21, 12, 6, 2, -2, -2, 4, -4, -2, -2,\
 0, 0, 0, 0, 0, 0 ], [ 21, -532, -275, -133, -85, 46, 52, -32, 54, 34, 14, 10, 32, 18, 18, -4, -10 ], [ 12, -275, -144, -70, -44, 24, 28, -18, 30, 17, 9, \
4, 16, 8, 8, 0, -4 ], [ 6, -133, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, -85, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2\
 ], [ -2, 46, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 52, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, -32, \
-18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 54, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 34, 17, 8, 5, -3, -2, 2\
, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 14, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 10, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2,\
 2, 0 ], [ 0, 32, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 18, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 18, 8, 2,\
 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -4, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -10, -4, -2, -2, 0, -2, 2, -2, 2, -2, \
0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -20, 26,\
 -8, 0, -4, 4 ], [ 0, 0, 0, 26, -40, 14, 0, 6, -6 ], [ 0, 0, 0, -8, 14, -8, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, -4, 6, -2, 2, -4, 2 ], \
[ 0, 0, 0, 4, -6, 2, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1, -3, 1, 1, 1, 0, 1, -1, 0, \
0, 0, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, \
0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -4, 2, 6, -10, 3, 2, 1, 6, -2, 4, -4, -1, -1, -2, 3, -4, 1, -13, -3, -8, -3, 1, 0, -3, 3 ], em\
bQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 6,\
 -4, 12, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -\
1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, \
-3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1,\
 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 2, 0, -4, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 2, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -4, 1, 5, 0, -1, 1, 0, 0, 3, -3, \
1, -2, 0, -4, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 3, -1, -1, 0, 1, -1, 0, 0, -1, 1, -1, -1, 0, 2, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -\
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 6, 4, 8, 12, 12, 9, 7, 5, 4, 2 ], rlifts := [ [ 0, -1, 0, 2, -2, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 2, -3, 1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -2, 0, -2, 0, 0, 0, -1, 1 ] ]\
, rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1\
, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0,\
 0, 0, -1 ], [ 0, 1, -3, 1, 1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 1 ], [ 0, -1, 3, -1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, -1, \
0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0,\
 0, 0, 1, 0 ], [ 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0,\
 -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ \
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 16, 25, 24, 18, 14, 10, 8, 4 ], [ -18, -12,\
 -24, -36, -35, -27, -21, -15, -12, -6 ], [ 6, 4, 8, 12, 12, 10, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 4, 8, 12, 12, 9, 7, 6, 4, 2 ], [ -6,\
 -4, -8, -12, -12, -9, -7, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -4, 0, 20, -26, 6, 6, -2, 12, 0, 6, -6, -3, -3, 0, 0, -6,\
 -3, -25, -3, -15, 1, 0, 0, -10, 6 ], [ 0, -2, 0, 14, -18, 4, 4, -1, 8, 0, 4, -4, -2, -2, 0, 0, -4, -2, -17, -2, -10, 1, 0, 0, -7, 4 ], [ 0, -5, 1, 26, -3\
4, 8, 8, -3, 16, 0, 8, -8, -4, -4, 0, 0, -8, -4, -33, -4, -20, 1, 0, 0, -13, 8 ], [ 0, -8, 0, 41, -52, 12, 12, -4, 24, 0, 12, -12, -6, -6, 0, 0, -12, -6, \
-50, -6, -30, 2, 0, 0, -20, 12 ], [ 0, -7, 0, 36, -46, 11, 11, -4, 21, 0, 11, -11, -5, -5, 0, 0, -11, -5, -44, -5, -27, 2, 0, 0, -18, 11 ], [ 0, -7, 0, 34\
, -44, 11, 10, -3, 20, 0, 10, -10, -5, -5, 0, 0, -10, -5, -42, -5, -25, 2, 0, 0, -17, 10 ], [ 0, -4, 0, 20, -26, 6, 7, -2, 12, 0, 6, -6, -3, -3, 0, 0, -6,\
 -3, -25, -3, -15, 1, 0, 0, -10, 6 ], [ 0, -3, 0, 16, -21, 5, 5, -1, 9, 0, 5, -5, -2, -2, 0, 0, -5, -2, -19, -2, -12, 1, 0, 0, -8, 5 ], [ 0, -3, 0, 14, -1\
8, 4, 4, -1, 9, 0, 4, -4, -2, -2, 0, 0, -4, -2, -17, -2, -10, 1, 0, 0, -7, 4 ], [ 0, -1, 0, 6, -8, 2, 2, -1, 5, -1, 2, -2, -1, -1, -1, 1, -3, 0, -8, -1, -\
4, 0, 2, 2, -2, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -1, 0, 4, -5, 1, 1, 0, 2, 0, 0, -1, 0, -1, \
0, 0, -1, 0, -4, 0, -2, 1, 0, 0, -1, 1 ], [ 0, 1, 0, -2, 2, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 1, 0, -2, 2, 0, 0, -1,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 4\
, -6, 2, 2, -2, 4, 0, 2, -2, -1, -1, -2, 1, -4, 0, -6, 0, -4, 0, 2, 2, -2, 4 ], [ 0, -1, 0, 4, -5, 1, 1, 0, 3, 0, 1, -1, -1, -1, 0, 0, 0, -1, -6, -1, -3, \
0, 0, 0, -2, 1 ], [ 0, -1, 0, 0, 1, -1, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, -1 ], [ 0, -3, 0, 12, -15, 3, 3, 0, 7, 0, 3, -3, -2, -\
2, 0, 0, -3, -2, -14, -2, -8, 1, 0, 0, -6, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, -2, 2, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, 0 ], [ 0, 1, 0, -2, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 14, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 14, -338, -216, -106, -68, 36, 40, -22, 40, 26, 10, 5, 24,\
 14, 14, -2, -10 ], [ 12, -216, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6, -106, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2,\
 0, -2 ], [ 2, -68, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, 36, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, 40, \
28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, -22, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -4, 40, 30, 14, 8, -6, \
-8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 26, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -2, 10, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2\
, 2, 2, -2, -2 ], [ 0, 5, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 24, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 14\
, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 14, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2\
, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -10, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, \
0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 6, -8, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0\
, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1\
, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ -1, 1, -2, 0, 1, 1, 1, 1, -1, \
0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0\
, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -7, 2, 10, -13, 2, 5, -3, 13, -2, 7, -7, -1, -1, -6, 7, -7, -1, -20, -5, -16, -10, 5, 4, -1,\
 6 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
1, 4, 4, -4, 8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0\
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1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0\
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 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, -2, 0, 2, 0, 2, -4, 0 ], [ 0, 0, -2, 0, 2, 0, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1,\
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0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -\
2 ], [ 0, 0, 0, 2, -3, 1, 0, 1, -3, 0, -1, 1, 0, 0, -1, 1, 1, 2, 0, 0, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2\
, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0,\
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, 3, 2, 1, 0, 0 ], rlifts := [ [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ], [ 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0\
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 [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 4, 3, 2, 1, 0, 0 ], [\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -4, -3, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 2, 4, 4, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -2, 0, 0, 0, 8, 0, 0, 0, -3, -3,\
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, -2, 0, 0, 0, 10, 0, 0, 0, -4, -4, 0, 0, 0, -5, -13, -5, -5, -5, 0, -1, -1, -1 ], [ 0, 0, 4, 1, -4, 0, 0, 0, 16, 0, 0, 0, -6, -6, 0, 0, 0, -8, -20, -8, -\
8, -8, 0, -2, -2, -2 ], [ 0, 0, 4, 0, -3, 0, 0, 0, 14, 0, 0, 0, -5, -5, 0, 0, 0, -7, -17, -7, -7, -7, 0, -2, -2, -2 ], [ 0, 0, 3, 0, -3, 1, 0, 0, 13, 0, 0\
, 0, -5, -5, 0, 0, 1, -7, -17, -7, -7, -7, -1, -2, -2, -2 ], [ 0, 0, 2, 0, -2, 0, 1, 0, 8, 0, 0, 0, -3, -3, 0, 0, 0, -4, -10, -4, -4, -4, 0, -1, -1, -1 ],\
 [ 0, 0, 1, 0, -1, 0, 0, 1, 5, 0, 0, 0, -2, -2, 0, 0, 1, -3, -7, -3, -3, -3, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, -2, -2, 0, 0, 0, -2, \
-6, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, -1, -1, -1, 1, 1, -1, -4, -2, -1, -2, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
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, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -5, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0\
, 0, 0, 0, 0 ], [ -4, -10, 8, 4, 0, -2, -4, 6, -6, 0, -4, 0, 0, 3, 1, -2, -4 ], [ 12, 8, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 6\
, 4, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 2, 0, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -2, -2, 24, 10, 8, -6, -\
7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -2, -4, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 4, 6, -18, -12, -2, 2, 2, -10, 6, 2, 5\
, 0, -4, -2, -2, 0, 2 ], [ -4, -6, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -2, 0, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2\
 ], [ -2, -4, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 0, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 0, 0, 16, 2, 8, -6, -8,\
 -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 0, 3, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 0, 1, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2,\
 -4, 2, 2 ], [ 0, -2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 0, -4, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [\
 [ -4, -2, 4, 0, 0, 0, 0, 0, 0 ], [ -2, -8, 8, -2, 0, 0, 0, 0, 0 ], [ 4, 8, -12, 4, 0, 0, 0, 0, 0 ], [ 0, -2, 4, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2,\
 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [\
 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, 0, 1 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl\
 := [ 2, -1, -2, 4, -5, 2, 1, 1, 5, -2, 3, -3, -1, -1, -2, 3, -3, 1, -10, -3, -6, -2, 0, 1, -1, 4 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 2, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ -2, -3, 0, 4, -2, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -\
1, 1, 0, 0, 0, 1, 1, 1, -1, 2 ], [ 4, 2, 0, -6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, -1, 2, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0,\
 -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, \
0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1,\
 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, \
-1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, \
0, 0, -1, 0, 0, 0, -1, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1 ], [ -1, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, \
0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0,\
 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, \
0, 0, 6, 0, 0, 0, -3, -3, 0, 0, 0, -3, -9, -3, -3, -3, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -6, -2, -2, -2, 0, 0, 0, 0\
 ], [ 0, 1, -1, 1, 0, 0, 0, 0, 8, 0, 0, 0, -4, -4, 0, 0, 0, -4, -12, -4, -4, -3, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 12, 0, 0, 0, -6, -6, 0, 0, 0, -6,\
 -18, -6, -6, -6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 10, 0, 0, 0, -5, -5, 0, 0, 0, -5, -15, -5, -5, -5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 10, 0\
, 0, 0, -5, -5, 0, 0, 0, -5, -15, -5, -5, -5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 0, -3, -3, 0, 0, 0, -3, -9, -3, -3, -3, 0, 0, 0, 0 ], [ 0, \
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 -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, -1, -1, -1, 1, -1, 0, -3, -1, 0, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, -2, 1, -2, 0, -2, 0, 0, 0, 2, 2, 0, 2 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, -2, 0, 0, 0, -2, -5, -2, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, -10, -5, 2, 9, 20, 4, 7, -2, -2, 0, 11, 22, 0, 0, 0, 0 ], [ -10, -\
64, -33, -12, 27, 70, 18, 17, -1, -9, 4, 39, 62, 8, 8, 0, -4 ], [ -5, -33, -18, -8, 12, 31, 8, 7, 0, -4, 2, 17, 26, 4, 4, 0, -2 ], [ 2, -12, -8, -16, -12,\
 -22, -2, -12, 5, 1, 2, -12, -32, 4, 4, 0, -2 ], [ 9, 27, 12, -12, -34, -75, -14, -27, 7, 7, 0, -41, -82, 0, 0, 0, 0 ], [ 20, 70, 31, -22, -75, -176, -34,\
 -60, 16, 16, -2, -96, -184, -2, -2, -2, -2 ], [ 4, 18, 8, -2, -14, -34, -10, -10, 2, 5, 0, -20, -36, -2, -2, 0, 2 ], [ 7, 17, 7, -12, -27, -60, -10, -24,\
 7, 4, 1, -32, -66, 2, 2, -2, -2 ], [ -2, -1, 0, 5, 7, 16, 2, 7, -4, 0, -1, 8, 18, -2, -2, 2, 2 ], [ -2, -9, -4, 1, 7, 16, 5, 4, 0, -4, 1, 10, 18, 2, 2, -\
2, -2 ], [ 0, 4, 2, 2, 0, -2, 0, 1, -1, 1, -4, -1, 0, -2, -2, 2, 0 ], [ 11, 39, 17, -12, -41, -96, -20, -32, 8, 10, -1, -54, -102, -2, -2, 0, 0 ], [ 22, 6\
2, 26, -32, -82, -184, -36, -66, 18, 18, 0, -102, -204, 0, 0, 0, 0 ], [ 0, 8, 4, 4, 0, -2, -2, 2, -2, 2, -2, -2, 0, -4, -2, 2, 2 ], [ 0, 8, 4, 4, 0, -2, -\
2, 2, -2, 2, -2, -2, 0, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 0, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -\
2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, 0, -4, -2, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ]\
, [ 0, 4, 0, 2, -8, 2, 4, 2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 0, 0, 4, 2, -8, 0, 2 ], [ 0, -2, 0, 0, 2, 0, 0, -4, 2 ], [ 0, 2, 0, 0, -2, 0, \
2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
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], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, -1, -1, 0 ] ], adjweyl := [ 2, -1, 2, 2, -7, 3, 2, 2, 4, -2, 3, -3, -1, -1, -2, 3, -3, 1, -11, -3, -7, -3, -1, -2, -3, 2 ], embQ := [ [ 0, 1, 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, \
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 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0\
, 2, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 4, 2, 5, 8, 7, 5, 3, 2, 2, 1 ], rlifts := [ [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, -1, 1, -1, -1, -1, 0 ], [ 0, 1, 0, 0, -1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 1, 0\
, 0, 0, 0, 1, 1, -1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0 ]\
, [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, \
-1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0\
, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],\
 [ 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0\
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0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ \
-1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 4, 3, 5, 8, 7, 5, 3, 2, 2, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -6, -5, -3, -2, -2, -1 ], [ 0, 0,\
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, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 4, 0, 0, -4, 2, 2, 2, 4, 0, 0, 0, -3, -3, 0, 0, 0, -3, -11, -3, -5, -1, -4, -4, -4, 0 ], [ 0, 3, 0, 0, -2, 1, 1, \
1, 3, 0, 0, 0, -2, -2, 0, 0, 0, -2, -7, -2, -3, -1, -2, -2, -2, 0 ], [ 0, 5, 1, 0, -5, 2, 3, 3, 5, 0, 0, 0, -4, -4, 0, 0, 0, -4, -14, -4, -6, -2, -5, -5, \
-5, 0 ], [ 0, 8, 0, 1, -8, 4, 4, 4, 8, 0, 0, 0, -6, -6, 0, 0, 0, -6, -22, -6, -10, -2, -8, -8, -8, 0 ], [ 0, 7, 0, 0, -6, 3, 4, 4, 6, 0, 0, 0, -5, -5, 0, \
0, 0, -5, -18, -5, -8, -2, -7, -7, -7, 0 ], [ 0, 6, 0, 0, -6, 4, 3, 3, 7, 0, 0, 0, -5, -5, 0, 0, 0, -5, -18, -5, -8, -2, -6, -6, -6, 0 ], [ 0, 4, 0, 0, -4\
, 2, 3, 2, 4, 0, 0, 0, -3, -3, 0, 0, 0, -3, -11, -3, -5, -1, -4, -4, -4, 0 ], [ 0, 2, 0, 0, -2, 1, 1, 2, 3, 0, 0, 0, -2, -2, 0, 0, 0, -2, -7, -2, -3, -1, \
-2, -2, -2, 0 ], [ 0, 3, 0, 0, -3, 1, 2, 2, 3, 0, 0, 0, -2, -2, 0, 0, 0, -2, -7, -2, -3, -1, -3, -3, -3, 0 ], [ 0, 2, 0, 0, -2, 1, 1, 1, 2, -1, 0, 0, -1, \
-1, -1, 1, -1, 0, -4, -1, -1, 0, 0, 0, -1, 2 ], [ 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
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, 2 ], [ 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, -1, -1, -2, 1, -2, 0, -2, 0, 0, 0, 1, 1, -1, 2 ], [ 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, 0, 1, -1\
, -3, -1, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, -2, 1, 1, 1, 3, 0, 0, 0\
, -2, -2, 0, 0, 0, -2, -6, -2, -3, -1, -2, -2, -2, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1, 0 ], [ 0, 1, 0, 0,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -4, 12, 6, 2, -2, 4, 4, -4, -2, -2, 0, 6, 0, 0, 0, 0, 0 ], [ 12, -144, -70, -44, 24, -7, -18, 30, 17, 9, 4, \
-35, 16, 8, 8, 0, -4 ], [ 6, -70, -38, -20, 10, -9, -12, 14, 8, 6, 1, -20, 2, 2, 2, 0, -2 ], [ 2, -44, -20, -16, 8, 3, -2, 8, 5, 1, 2, -7, 8, 4, 4, 0, -2 \
], [ -2, 24, 10, 8, -6, -2, 2, -6, -3, -1, -1, 5, -6, -2, -2, 0, 0 ], [ 4, -7, -9, 3, -2, -24, -8, 2, 2, 4, -6, -16, -10, -4, -4, 0, -2 ], [ 4, -18, -12, \
-2, 2, -8, -10, 6, 2, 5, 0, -10, -4, -2, -2, 0, 2 ], [ -4, 30, 14, 8, -6, 2, 6, -10, -3, -4, 0, 10, -4, 0, 0, -2, -2 ], [ -2, 17, 8, 5, -3, 2, 2, -3, -4, \
0, -1, 4, -2, -2, -2, 2, 2 ], [ -2, 9, 6, 1, -1, 4, 5, -4, 0, -4, 1, 6, 2, 2, 2, -2, -2 ], [ 0, 4, 1, 2, -1, -6, 0, 0, -1, 1, -4, -4, -2, -2, -2, 2, 0 ], \
[ 6, -35, -20, -7, 5, -16, -10, 10, 4, 6, -4, -20, -2, -2, -2, 2, 0 ], [ 0, 16, 2, 8, -6, -10, -4, -4, -2, 2, -2, -2, -12, -4, -4, 0, 0 ], [ 0, 8, 2, 4, -\
2, -4, -2, 0, -2, 2, -2, -2, -4, -4, -2, 2, 2 ], [ 0, 8, 2, 4, -2, -4, -2, 0, -2, 2, -2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 0\
, 2, 2, -4, -2 ], [ 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, -2, -4, 0\
, 2, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -2, 0, 2, -8, 0, 0, 2, -6 ], [ 0, -4, 0, 0, 0, -8, 2, 2, -6 ], [ 0, 0, 0, \
0, 0, 2, -4, 2, 0 ], [ 0, 2, 0, 0, 2, 2, 2, -4, 4 ], [ 0, -6, 0, 0, -6, -6, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 2, 2, 1,\
 2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0,\
 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -1, 1, 1, \
1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, -2, 2, 2, -6, 3, 1, 1, 6, -2, 3, -3, \
-1, -1, -4, 5, -3, 2, -13, -5, -8, -5, 0, -1, -2, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, \
-1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, -1, 1, -1, 2, 0, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0\
, 0, 0, 2, -3, 1, 0, 1, -3, 0, -1, 1, 0, 0, 1, -1, 1, 1, 1, 1, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 3, -1, -1, 0, 1, -1, 0, 0, -1, 1, -1, -1, 0, 2\
, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 0, 0, 0, 0 ] ], r := [ 4, 2, 5, 8, 7, 5, 4,\
 3, 2, 0 ], rlifts := [ [ 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, 0\
, 0, -1, 1, 0, 0, -2, -1, -2, -1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0\
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[ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 5, 4, 3, 2, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -6, -5, -4, -3, -2, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
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 1 ] ] ), rec( GramQ := [ [ -26, -4, -15, -12, -20, -11, -13, 6, -13, -7, -3, -2, -10, -4, -4, 0, 1 ], [ -4, -32, -22, -12, -8, 0, 0, -2, 2, 1, 1, 0, 0, 0\
, 0, 0, 0 ], [ -15, -22, -22, -14, -15, -5, -6, 2, -5, -3, -1, -1, -4, -2, -2, 0, 1 ], [ -12, -12, -14, -12, -10, -4, -4, 6, -6, -3, -3, 0, 0, 0, 0, 0, 0 \
], [ -20, -8, -15, -10, -18, -9, -11, 2, -9, -5, -1, -2, -10, -4, -4, 0, 1 ], [ -11, 0, -5, -4, -9, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -13, \
0, -6, -4, -11, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 6, -2, 2, 6, 2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ -13, 2, -5, -6, -9, -6, -\
8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -7, 1, -3, -3, -5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -3, 1, -1, -3, -1, -1, -2, 5, -4, 0, -4, 1,\
 2, 2, 2, -2, -2 ], [ -2, 0, -1, 0, -2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ -10, 0, -4, 0, -10, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ],\
 [ -4, 0, -2, 0, -4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ -4, 0, -2, 0, -4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -\
2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ 1, 0, 1, 0, 1, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -\
8, 2, 0, 0, 0, 0, 2, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], \
[ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 2, 0, 0, 0, 0, 2, -4, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2\
, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0\
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, -1, -1, -2, 3, -3, 0, -11, -2, -7, -5, 2, 1, 0, 2 ], embQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, -3, 0, 0, 0, 0 ], [ 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, -1, 1, -1, 2, 0, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -\
4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1,\
 -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1,\
 -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0,\
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, 2, 2, 2, 2, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, -1, 0, -1, -1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0,\
 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0\
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, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ],\
 [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0,\
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", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2, 2, 2, 2, 2, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
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 0, 0 ], [ -1, 0, -1, -2, -2, -2, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 3, -3, 6, 0, 0, 0, -3, -3, 0, 0\
, -1, -4, -10, -1, -4, -4, 2, 2, 2, 0 ], [ 0, 1, 0, 0, 0, 0, 2, -2, 4, 0, 0, 0, -2, -2, 0, 0, 0, -3, -7, -1, -3, -3, 1, 1, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 3, \
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, -8, -18, -2, -8, -8, 3, 3, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3, -2, 6, 0, 0, 0, -3, -3, 0, 0, 0, -4, -10, -2, -4, -4, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 4, -3,\
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0, 0, 0, 0, 0, 0, 1, -1, 3, -1, 0, 0, -1, -1, -1, 1, -2, 0, -3, 0, 0, -1, 3, 3, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0\
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0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, -2, 1, -2, 0, -2, 0, 0, 0, 2, 2, 0, 2 ], [ 0, 0, 0\
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, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, -2, -2, 0, 0, 0, -4, -7, 0, -4, -4, 2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, -1, 2, -1, -1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 2, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 2, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 2, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ), rec( GramQ := [ [ -38, -10, 42, 23, 7, -6, -7, 17, -14, -6, -8, -3, 2, 1, \
1, 1, -3 ], [ -10, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ 42, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ 23, \
6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ 7, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ -6, -2, 24, 10, 8, -6, -7,\
 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ -7, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 17, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5,\
 0, -4, -2, -2, 0, 2 ], [ -14, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ -6, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, \
2 ], [ -8, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ -3, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 2, 0, 16, 2, 8, -6, -\
8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 1, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 1, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -\
2, -4, 2, 2 ], [ 1, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -3, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := \
[ [ -8, -2, 0, 2, 0, 0, 0, 2, -6 ], [ -2, -8, 2, 0, 0, 0, 0, 2, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2,\
 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 2, 2, 0, 0, 0, 0, 2, -4, 4 ], [ -6, -6, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := \
[ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -\
1, -1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1\
, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], \
adjweyl := [ 4, -5, 2, 2, -5, 2, 1, 1, 7, -2, 5, -5, -1, -1, -4, 5, -5, 2, -13, -4, -9, -7, 2, 1, 0, 3 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, -1, -1, 0, -4, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0,\
 -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1\
, -1, -1, 1, 1, 2, 1, 0, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -2, -1 ], [ 0, 0, \
0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1,\
 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 1, 3, 1, 1, 0, 0, 0, 0 ] ], r := [ 3, 3, 5, 7, 6, 5, 4, 3, 2, 0 ], rlifts := [ [ 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, 0, 0, -2, -1, -2, -2\
, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, -2, 1, -1, 0, -1, -1, 1, 1, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0,\
 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, -1, 1, 1, 1, 1 ], [ -1, 1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, 1, -1, -1, \
-1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1,\
 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, -1, 0, -1, 1, 0\
, 0, 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 4, 3, 5, 7, 6, 5, 4, 3, 2, 0 ], [ -3, -2, -5\
, -7, -6, -5, -4, -3, -2, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -3, -3, -5, -7, -6, -5, -4, -3, -1, 0 ], [ 6, 6, 10, 14, 12, 10, 8, 6, \
4, 1 ] ], thegtilde := [ [ 10, -9, 0, 0, 0, 0, 0, 0, 15, 0, 9, -9, -3, -3, -9, 9, -8, 1, -23, -8, -17, -17, 4, 4, 4, 4 ], [ 7, -6, 0, 0, 0, 0, 0, 0, 11, 0\
, 7, -7, -2, -2, -7, 7, -8, 2, -16, -5, -12, -12, 4, 4, 4, 4 ], [ 13, -13, 1, 0, 0, 0, 0, 0, 21, 0, 13, -13, -4, -4, -13, 13, -12, 2, -32, -11, -24, -24, \
6, 6, 6, 6 ], [ 19, -19, 0, 1, 0, 0, 0, 0, 31, 0, 19, -19, -6, -6, -19, 19, -18, 3, -47, -16, -35, -35, 9, 9, 9, 9 ], [ 16, -16, 0, 0, 1, 0, 0, 0, 26, 0, \
16, -16, -5, -5, -16, 16, -16, 3, -39, -13, -29, -29, 8, 8, 8, 8 ], [ 15, -15, 0, 0, 0, 1, 0, 0, 25, 0, 15, -15, -5, -5, -15, 15, -16, 3, -37, -12, -27, -\
27, 8, 8, 8, 8 ], [ 10, -10, 0, 0, 0, 0, 1, 0, 16, 0, 10, -10, -3, -3, -10, 10, -10, 2, -24, -8, -18, -18, 5, 5, 5, 5 ], [ 7, -7, 0, 0, 0, 0, 0, 1, 11, 0,\
 7, -7, -2, -2, -7, 7, -8, 2, -16, -5, -12, -12, 4, 4, 4, 4 ], [ 6, -6, 0, 0, 0, 0, 0, 0, 11, 0, 6, -6, -2, -2, -6, 6, -6, 1, -15, -5, -11, -11, 3, 3, 3, \
3 ], [ 2, -2, 0, 0, 0, 0, 0, 0, 5, -1, 2, -2, -1, -1, -3, 3, -3, 1, -6, -2, -3, -4, 3, 3, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, -2, \
1, 0, 1, 1, 1, 1, 1, 2, 1 ], [ 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 1, -2, 0, -1, -2, 2, 0, 0, -5, -2, -4, -4, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, -2, 1, -2, 0, -2, 0, 0, 0, 2, 2, 0, 2 ]\
, [ 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 2, -2, -1, -1, -2, 2, -3, 1, -5, -1, -3, -3, 2, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 4, -4, 0, 0, 0, 0, 0, 0, 8, 0, 4, -4, -2, -2, -4, 4, -4, 0, -11, -4, -8, -8, 2, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, 0 ] ] ), rec( GramQ := [ [ -154, 6, -140, -66, -47, 23, 26, -9, 23, \
17, 3, 6, 20, 12, 12, -3, -8 ], [ 6, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -140, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8\
, 8, 0, -4 ], [ -66, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -47, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 23,\
 -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 26, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -9, 4, -18, -12, \
-2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 23, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 17, -2, 17, 8, 5, -3, -2, 2, -3, -4, \
0, -1, -2, -2, -2, 2, 2 ], [ 3, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 6, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 2\
0, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 12, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 12, 0, 8, 2, 4, -2, -2, \
-2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -3, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -8, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -\
2, -4 ] ], GramQperp := [ [ -8, 4, 0, -2, 8, 0, -8, 2, 2 ], [ 4, -8, 2, 4, -8, 0, 8, -2, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ -2, 4, 2, -8, 10, 0, -8, \
2, 2 ], [ 8, -8, 0, 10, -20, 2, 16, -4, -4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -8, 8, 0, -8, 16, 2, -20, 6, 4 ], [ 2, -2, 0, 2, -4, 0, 6, -4, 0 ], [ 2, -\
2, 0, 2, -4, 0, 4, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ],\
 [ 1, -1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, \
0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 1, -1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0\
, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, -5, 2, 4, -9, 4, 1, 3, 5, -2, 5, -5, -1, -1, -2, 3, -5, 2, -13, -4, -9, -3, 0, -1, -3, 3 ], emb\
Q := [ [ 1, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, -3, 5, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 2 ], [ 0, \
-3, 2, 0, 0, 0, -2, 1, 2, 0, 1, -1, 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -\
1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -3, 1, 3, 0, -1, 1, 0, 0, 2, -2\
, 1, -1, 0, -3, 1, 3, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 2, -\
1, -3, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 3, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 6, 5, 9, 13, 12, 9, 6, 5, 4, 2 ], rlifts := [ [ 1, -1, 0, 1, -2, 1\
, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, -2, 1, -1, 0, -1, 1, 0, 0, -1, 1 ], [ 1, -1, 0, 1, -2, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -2, -1, -2, 0, -1, -1, -1,\
 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0,\
 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ -1, 1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0 ]\
, [ 1, -1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2\
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-1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 1, -1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 1 ], [ -1, 1, 2, -1, 0, 0, 0, -1, 1, 0, 0\
, 0, 1, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0\
, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], \
theg := [ [ 7, 5, 9, 13, 12, 9, 6, 5, 4, 2 ], [ -6, -4, -9, -13, -12, -9, -6, -5, -4, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 5, 9, 14, 12, 9, 6, 5, \
4, 2 ], [ -12, -10, -18, -26, -23, -18, -12, -10, -8, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 12, 10, 18, 26, 24, 18, 13, 10, 8, 4 ], [ 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0 ], [ -6, -5, -9, -13, -12, -9, -6, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 13, -12, 0, 12, -24, 12, 0, 12, 6, 0, 1\
2, -12, -3, -3, 0, 0, -12, 3, -27, -9, -21, 3, -6, -6, -12, 6 ], [ 9, -8, 0, 9, -18, 9, 0, 9, 4, 0, 9, -9, -2, -2, 0, 0, -10, 3, -19, -6, -15, 3, -4, -4, \
-9, 5 ], [ 17, -17, 1, 17, -34, 17, 0, 17, 8, 0, 17, -17, -4, -4, 0, 0, -18, 5, -37, -12, -29, 5, -8, -8, -17, 9 ], [ 25, -25, 0, 26, -50, 25, 0, 25, 12, \
0, 25, -25, -6, -6, 0, 0, -26, 7, -55, -18, -43, 7, -12, -12, -25, 13 ], [ 22, -22, 0, 22, -43, 22, 0, 22, 10, 0, 22, -22, -5, -5, 0, 0, -22, 6, -48, -16,\
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, 3, -19, -6, -15, 3, -4, -4, -9, 5 ], [ 10, -10, 0, 10, -20, 10, 0, 10, 5, 0, 10, -10, -2, -2, 0, 0, -10, 3, -21, -7, -17, 3, -5, -5, -10, 5 ], [ 6, -6, \
0, 6, -12, 6, 0, 6, 3, -1, 6, -6, -1, -1, -1, 1, -7, 3, -12, -4, -9, 2, -1, -1, -5, 5 ], [ 2, -2, 0, 2, -4, 2, 0, 2, 1, 0, 2, -3, 0, -1, 0, 0, -4, 2, -3, \
0, -2, 2, 0, 0, -1, 2 ], [ 2, -2, 0, 2, -4, 2, 0, 2, 1, 0, 1, -2, 0, -1, 0, 0, -2, 1, -4, -1, -3, 1, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 ], [ 4, -4, 0, 4, -8, 4, 0, 4, 2, 0, 4, -4, -1, -1, -2, 1, -4, 1, -9, -3, -7, 1, -1, -1, -4, 3 ], [ \
4, -4, 0, 4, -8, 4, 0, 4, 2, 0, 4, -4, -1, -1, 0, 0, -5, 2, -8, -2, -6, 2, -1, -1, -4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 6, -6, 0, 6, -12, 6, 0, 6, 4, 0, 6, -6, -2, -2, 0, 0, -6, 1, -14, -5, -11, 1, -3, -3, -6, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -2, 0, 2, -4, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 1, -3, -1, -2, 1, -1, -1, -2, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -36, -2, -44, -19, -18, 7, 7, 5, 2, 6, -4, 3, \
10, 8, 7, -3, -7 ], [ -2, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -44, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ]\
, [ -19, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -18, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 7, -2, 24, 10, \
8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 7, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 5, 4, -18, -12, -2, 2, 2, -10, \
6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 2, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 6, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2\
, 2, 2 ], [ -4, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 3, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 10, 0, 16, 2, 8, \
-6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 8, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 7, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, \
-4, -2, -4, 2, 2 ], [ -3, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -7, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQpe\
rp := [ [ -8, -4, -4, 4, -8, 2, 0, 0, 0 ], [ -4, -12, -2, 2, -12, 2, 0, 2, -2 ], [ -4, -2, -8, 4, -8, 2, 0, 0, 0 ], [ 4, 2, 4, -4, 4, 0, 0, 0, 0 ], [ -8, \
-12, -8, 4, -20, 4, 0, 2, -2 ], [ 2, 2, 2, 0, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 2, 0, 0, 2, 0, 2, -4, 2 ], [ 0, -2, 0, 0, -2, 0, 0, 2\
, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, -1, -1, 0, 1, \
0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0\
, 0, 0, 0, 0 ] ], adjweyl := [ 4, -5, 4, 2, -7, 2, 3, 1, 5, -2, 5, -5, -1, -1, -2, 3, -5, 1, -12, -1, -8, -6, 2, 0, -1, 2 ], embQ := [ [ 1, 0, 1, 0, 0, 0,\
 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, \
-1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 3, -1, -1, -3, 1 ], [ 0, -3, 2, 2, -3, 1, -3, \
2, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -2, 1, 2, 0, -1, -2, -1 ], [ 0, 2, -4, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 5, -2, 0, -2, 1 ], \
[ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 4, -6, 2, -3, 2, 0, 0, -2, 2, 0, 0, 1, -1, 2, 1, 0, -3, 2\
, 6, -2, -2, -4, -2 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 5, 4, 7, 11, 10, 8, 6, 4, 4, 2 ], rlifts := [ [ 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -\
1, 0, 0, 0, 0, -1, 0, -1, 1, -1, -1, 1, 0, 0, 0 ], [ 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0 ] ], rootsQ := [ \
[ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, \
1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 1, 1, 0, -1,\
 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ],\
 [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0,\
 -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -\
1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ \
0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, 1, 1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 6, 4, 7, 11, \
10, 8, 6, 4, 4, 2 ], [ -5, -3, -7, -11, -10, -8, -6, -4, -4, -2 ], [ 5, 4, 8, 11, 10, 8, 6, 4, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -5, -4, -7, -11\
, -9, -8, -6, -4, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 10, 8, 14, 22, 20, 16, 12, 9, 8, 4 ], [ -10, -8, -14, -2\
2, -20, -16, -12, -8, -7, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 12, -11, 11, 0, -11, 0, 11, 0, 6, 0, 11, -11, -3, -3, 0, 0, -11, -3, \
-20, 8, -14, -14, 6, 0, 0, 0 ], [ 8, -7, 8, 0, -8, 0, 8, 0, 4, 0, 8, -8, -2, -2, 0, 0, -8, -2, -14, 6, -10, -10, 3, 0, 0, 0 ], [ 15, -15, 16, 0, -15, 0, 1\
5, 0, 8, 0, 15, -15, -4, -4, 0, 0, -15, -4, -27, 11, -19, -19, 8, 0, 0, 0 ], [ 23, -23, 23, 1, -23, 0, 23, 0, 12, 0, 23, -23, -6, -6, 0, 0, -23, -6, -41, \
17, -29, -29, 12, 0, 0, 0 ], [ 20, -20, 20, 0, -19, 0, 20, 0, 10, 0, 20, -20, -5, -5, 0, 0, -20, -5, -35, 15, -25, -25, 10, 0, 0, 0 ], [ 18, -18, 18, 0, -\
18, 1, 18, 0, 10, 0, 18, -18, -5, -5, 0, 0, -18, -5, -33, 13, -23, -23, 8, 0, 0, 0 ], [ 12, -12, 12, 0, -12, 0, 13, 0, 6, 0, 12, -12, -3, -3, 0, 0, -12, -\
3, -21, 9, -15, -15, 6, 0, 0, 0 ], [ 8, -8, 8, 0, -8, 0, 8, 1, 4, 0, 8, -8, -2, -2, 0, 0, -8, -2, -14, 6, -10, -10, 3, 0, 0, 0 ], [ 8, -8, 8, 0, -8, 0, 8,\
 0, 5, 0, 8, -8, -2, -2, 0, 0, -8, -2, -14, 6, -10, -10, 4, 0, 0, 0 ], [ 4, -4, 4, 0, -4, 0, 4, 0, 3, -1, 4, -4, -1, -1, -1, 1, -5, 0, -7, 3, -4, -5, 3, 2\
, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0 ], [ 2, -2, 2, 0, -2, 0, 2, 0, 1, 0, 1, -2, 0, -1, 0, 0, -2, \
0, -3, 2, -2, -2, 2, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 1, 2, 0, 2 ], [ 2, -2, 2, 0, -2, 0, 2, 0,\
 2, 0, 2, -2, -1, -1, -2, 1, -4, 0, -4, 2, -2, -2, 2, 2, 0, 2 ], [ 2, -2, 2, 0, -2, 0, 2, 0, 2, 0, 2, -2, -1, -1, 0, 0, -1, -1, -5, 1, -3, -3, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, -6, 6, 0, -6, 0, 6, 0, 4, 0, 6, -6, -2, -2, 0, 0, -6, -2, -11, 4\
, -8, -8, 3, 0, 0, 0 ], [ -2, 2, -2, 0, 2, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 2, -1, 2, 2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ] ] ), rec( G\
ramQ := [ [ -208, 4, -154, -72, -54, 26, 28, -5, 23, 19, 1, 4, 24, 15, 14, -3, -12 ], [ 4, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -154\
, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -72, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -54, 2, -44, -2\
0, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 26, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 28, -2, 28, 11, 10, -7, -12, 2, -8,\
 -2, -2, -2, -8, -2, -2, -2, -2 ], [ -5, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 23, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0\
, 0, -2, -2 ], [ 19, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 1, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 4, 0, 4, \
1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 24, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 15, 0, 8, 2, 4, -2, -2, -2, 0, -2,\
 2, -2, -4, -4, -2, 2, 2 ], [ 14, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -3, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [\
 -12, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -12, -12, -8, -4, -20, 6, 0, 0, -2 ], [ -12, -24, -10, -10, -32, 10, 0,\
 0, -4 ], [ -8, -10, -12, -4, -20, 6, 0, 0, -2 ], [ -4, -10, -4, -8, -16, 6, 0, 0, -2 ], [ -20, -32, -20, -16, -52, 16, 0, 0, -6 ], [ 6, 10, 6, 6, 16, -8,\
 2, 0, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ -2, -4, -2, -2, -6, 2, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0\
, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 1, -2, -2, 1, 0, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0 ], [ 1, -2,\
 -2, 1, 0, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0\
, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, -7, 4, 4, \
-9, 4, 1, 1, 7, -2, 5, -5, -1, -1, -4, 5, -5, 3, -16, -5, -10, -6, 2, 0, -2, 2 ], embQ := [ [ 1, 0, 1, 1, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 3,\
 -3, 4, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, \
0, 0, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -3, 1 ], [ 0, -3, 2, 2, -3, 1, -2, 2, -1, 0, 0, 0, 0, 0, 4, -4, 0, 0, 2, 1, 3,\
 4, 0, -1, -2, -1 ], [ 0, 2, -4, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 6, -2, 0, -2, 1 ], [ 2, 0, 2, -2, -1, 1, -1, 1, -1, 0, -1, 1, \
0, 0, 2, -2, 1, 0, 1, 0, 2, 2, -1, -2, -1, -3 ], [ 0, 0, 0, 4, -6, 2, -2, 2, -2, 0, -2, 2, 0, 0, 6, -6, 2, -1, 3, 1, 5, 9, -2, -2, -4, -2 ], [ 0, 0, 0, 0,\
 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, -2, 2, -1, -1, -1, 0, -3, -3, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1,\
 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, \
1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 8, 6, 11, 17, 16, 12, 10, 8, 6, 2 ], rlifts := [ [ 1, -2, 1, 1, -2, 1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -1, -\
2, -1, 0, 0, -1, 0 ], [ 1, -2, 1, 1, -2, 1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -1, -2, -1, 1, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, \
0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0\
, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 1, -2, -2, 1, 0, 1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0 ], [ -1, 2, 2, -1, 0, -1, 0, -1, 1, 0, 0, 1, 1\
, -1, 0, 0, 0 ], [ -1, 2, 2, -1, 0, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 1, -2, -2, 1, 0, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ],\
 [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0\
, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 9, 6, 11, 17, 16, 12, 10, 8, 6, 2\
 ], [ -8, -5, -11, -17, -16, -12, -10, -8, -6, -2 ], [ 8, 6, 12, 17, 16, 12, 10, 8, 6, 2 ], [ 8, 6, 11, 18, 16, 12, 10, 8, 6, 2 ], [ -24, -18, -33, -51, -\
47, -36, -30, -24, -18, -6 ], [ 16, 12, 22, 34, 32, 25, 20, 16, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -16, -12, -\
22, -34, -32, -24, -20, -16, -11, -4 ], [ 16, 12, 22, 34, 32, 24, 20, 16, 12, 5 ] ], thegtilde := [ [ 17, -32, 16, 16, -32, 16, 0, 0, 22, 0, 16, -16, -3, \
-3, -16, 16, -16, 13, -57, -19, -35, -19, 8, 0, -8, 0 ], [ 12, -23, 12, 12, -24, 12, 0, 0, 16, 0, 12, -12, -2, -2, -12, 12, -12, 10, -42, -14, -26, -14, 5\
, 0, -7, 0 ], [ 21, -42, 22, 21, -42, 21, 0, 0, 29, 0, 21, -21, -4, -4, -21, 21, -21, 17, -75, -25, -46, -25, 10, 0, -11, 0 ], [ 33, -66, 33, 34, -66, 33,\
 0, 0, 45, 0, 33, -33, -6, -6, -33, 33, -33, 27, -117, -39, -72, -39, 16, 0, -17, 0 ], [ 28, -56, 28, 28, -55, 28, 0, 0, 38, 0, 28, -28, -5, -5, -28, 28, \
-28, 23, -99, -33, -61, -33, 14, 0, -14, 0 ], [ 28, -56, 28, 28, -56, 29, 0, 0, 38, 0, 28, -28, -5, -5, -28, 28, -28, 23, -99, -33, -61, -33, 13, 0, -15, \
0 ], [ 16, -32, 16, 16, -32, 16, 1, 0, 22, 0, 16, -16, -3, -3, -16, 16, -16, 13, -57, -19, -35, -19, 8, 0, -8, 0 ], [ 14, -28, 14, 14, -28, 14, 0, 1, 18, \
0, 14, -14, -2, -2, -14, 14, -14, 12, -48, -16, -30, -16, 6, 0, -8, 0 ], [ 12, -24, 12, 12, -24, 12, 0, 0, 17, 0, 12, -12, -2, -2, -12, 12, -12, 10, -42, \
-14, -26, -14, 6, 0, -6, 0 ], [ 4, -8, 4, 4, -8, 4, 0, 0, 7, -1, 4, -4, -1, -1, -5, 5, -5, 4, -15, -5, -8, -5, 3, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 4, -8, 4, 4, -8, 4, 0, 0, 5, 0, 3, -4, 0, -1, -4, 4, -4, 4, -13, -4, -8, -4, 2, 0, -1, 0 ], [ \
-2, 4, -2, -2, 4, -2, 0, 0, -2, 0, -2, 2, 1, 0, 2, -2, 2, -2, 6, 2, 4, 2, -1, 0, 1, 0 ], [ -2, 4, -2, -2, 4, -2, 0, 0, -2, 0, -2, 2, 0, 1, 2, -2, 2, -2, 6\
, 2, 4, 2, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 2, -4, 2, 2, -4, 2, 0, 0, 4, 0, 2, -2, -1,\
 -1, -4, 3, -4, 2, -8, -2, -4, -2, 3, 2, -1, 2 ], [ 4, -8, 4, 4, -8, 4, 0, 0, 6, 0, 4, -4, -1, -1, -4, 4, -3, 3, -15, -5, -9, -5, 1, 0, -3, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 10, -20, 10, 10, -20, 10, 0, 0, 14, 0, 10, -10, -2, -2, -10, 10, -10, 8, -35, -\
12, -22, -12, 5, 0, -5, 0 ], [ 2, -4, 2, 2, -4, 2, 0, 0, 2, 0, 2, -2, 0, 0, -2, 2, -2, 2, -6, -1, -4, -2, 1, 0, -1, 0 ], [ -2, 4, -2, -2, 4, -2, 0, 0, -2,\
 0, -2, 2, 0, 0, 2, -2, 2, -2, 6, 2, 5, 2, -1, 0, 1, 0 ], [ -2, 4, -2, -2, 4, -2, 0, 0, -2, 0, -2, 2, 0, 0, 2, -2, 2, -2, 6, 2, 4, 3, -1, 0, 1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -62, 8, -88, -47, -25, 12, 12, -15, 17, 11, 7, 1, 2, 3, 3, -1, -4 ], [ 8, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0\
, 0, 0, 0, 0 ], [ -88, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -47, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2\
 ], [ -25, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 12, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 12, -2, 28, 11\
, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -15, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 17, -4, 30, 14, 8, -6, -8, 6,\
 -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 11, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 7, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2,\
 -2, -2 ], [ 1, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 2, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 3, 0, 8, 2, 4\
, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 3, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -1, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0\
, 2, 2, -4, -2 ], [ -4, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 2, -2, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, \
0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 2, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -2, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, \
0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [\
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1, -1, -2, 3, -3, 3, -12, -5, -6, -2, -1, -2, -3, 1 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 4, 0, 0, 0, 0 ], [ 0, \
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-2 ], [ 0, 0, 0, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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3, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 1, -1, -1, -1, -1 ], [ 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -1, -1, 0, 1, -1, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0,\
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, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1\
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 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0\
, 0, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ :=\
 [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 5, 3, 6, 9, 8, 5, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -18, -15, -10, -8, -6, -4, -2 ], [ 8, 6, 12, 18, 16, 11, 8, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [\
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27, -15, -6, 3, -9, -9, -9, -5 ], [ 8, 0, 0, 0, -7, 8, -8, 8, 10, 0, 0, 0, -5, -5, 0, 0, 0, 3, -23, -13, -5, 3, -8, -8, -8, -4 ], [ 7, 0, 0, 0, -7, 8, -7,\
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, -4, -2 ], [ 3, 0, 0, 0, -3, 3, -3, 4, 4, 0, 0, 0, -2, -2, 0, 0, 0, 1, -9, -5, -2, 1, -3, -3, -3, -1 ], [ 2, 0, 0, 0, -2, 2, -2, 2, 5, 0, 0, 0, -2, -2, 0\
, 0, 0, 0, -8, -4, -2, 0, -2, -2, -2, -1 ], [ 1, 0, 0, 0, -1, 1, -1, 1, 3, -1, 0, 0, -1, -1, -1, 1, -1, 1, -4, -2, 0, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0,\
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0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 2, 0, 0, 0, -2, 2, -2, 2, 2, 0, 0, 0, -1, -1, -2, 1, -2, 2,\
 -4, -2, 0, 2, 0, 0, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 2, -2, 2, -2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 2, 2, 0, -2, 2, 2, 2, 1 ], [ 2, 0, 0, 0, -2, 2, -2, 2, 4, 0, 0, 0, -2, -2, 0, 0, 0, 0, -7, -4, -2, 0, -2, -2, -2, -1 ], [ 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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31, 33, -25, 38, 24, 12, 2, 16, 10, 10, -1, -9 ], [ 16, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -198, 12, -144, -70, -44, 24, 28, -18, \
30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -100, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -59, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, \
4, 4, 0, -2 ], [ 31, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 33, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ],\
 [ -25, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 38, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 24, -2, 17, 8, 5\
, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 12, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 2, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -\
2, -2, -2, 2, 0 ], [ 16, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 10, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 10\
, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -1, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -9, 0, -4, -2, -2, 0, -2, 2, -2\
, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 0, 2, -8, 6, 0, 0, -4, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -4, 4, 0, 0, 0, 0, 0 ], [ -8, 0,\
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 ], [ 2, 0, 0, 2, -2, 0, 0, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2\
, 1, 2 ], [ 1, 0, -2, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 1, 0, -2, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, \
0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, -3, 2, 4, -9, 2, 3, 1, 7, -2, 5, -5, -1, -1, -4, 5, -5, 1, -14, -3, -10, -6, 1, 0, -2, 3\
 ], embQ := [ [ 1, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 4, -4, 8, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, \
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, \
-1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -3, 0, -1, 0,\
 0 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 2, -1, 1, 0, 2 ], [ 4, 0, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -5, 0, -2, 2, -4 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1,\
 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1\
, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -2, -3, -2, -1, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 7, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], rlifts := [ [ 1, 0, \
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, 0, 0, -1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
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mQperp := [ [ -8, 0, -4, 8, -2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 8, -2, 0, 0, 0, 0 ], [ 8, 0, 8, -12, 4, 0, 0, 0, 0 ], [ -2, 0, \
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 Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 0, 3, -1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, -3, 1, 1, 1, 3 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1\
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0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r := [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0,\
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 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0,\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -480, 18, -258, -126, -80, 42\
, 45, -27, 48, 32, 12, 5, 28, 17, 16, -3, -13 ], [ 18, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -258, 12, -144, -70, -44, 24, 28, -18, 3\
0, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -126, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -80, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4\
, 4, 0, -2 ], [ 42, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 45, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], \
[ -27, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 48, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 32, -2, 17, 8, 5,\
 -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 12, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 5, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2\
, -2, -2, 2, 0 ], [ 28, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 17, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 16,\
 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -3, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -13, 0, -4, -2, -2, 0, -2, 2, -2\
, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -12, 0, -8, -4, -20, 2, 4, 0, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -8, 2, -12, -4, -20, 2, 4, 0, -2 ]\
, [ -4, 0, -4, -8, -16, 2, 4, 0, -2 ], [ -20, 0, -20, -16, -52, 4, 12, 0, -6 ], [ 2, 0, 2, 2, 4, -4, 2, 0, 0 ], [ 4, 0, 4, 4, 12, 2, -8, 2, 2 ], [ 0, 0, 0\
, 0, 0, 0, 2, -4, 2 ], [ -2, 0, -2, -2, -6, 0, 2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0,\
 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 1, -1, -3, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, 0 ], [ 1, -1, -3, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0,\
 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 4, -5, 4, 4, -11, 4, 3, 1, 7, -2, 5, -5, -1, -1, -4, 5, -5, 1, -1\
6, -5, -12, -6, 1, -1, -3, 2 ], embQ := [ [ 1, 0, 1, 1, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 4, 5, -5, 10, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -\
1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
1, -1, -1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 4, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2,\
 1, 0, 1, 0, 2, 4, -1, -1, -3, 1 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 4, -3, 1, -1, 1, -1\
, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 6, -2, 0, -2, 1 ], [ 2, 0, 2, -2, -1, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 2, -1, -2, -1, -3 ], [ 0\
, 0, 0, 4, -6, 2, -2, 2, -2, 0, -2, 2, 0, 0, 6, -6, 2, -1, 3, 1, 5, 9, -2, -2, -4, -2 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1\
, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, 0, 0, -2, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 9, 6, 12, 19, 18,\
 14, 10, 8, 6, 2 ], rlifts := [ [ 1, -1, 1, 1, -3, 1, 1, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1, 0, -3, -1, -3, -1, 0, 0, -1, 0 ], [ 1, -1, 1, 1, -3, 1, 1, 0, 1,\
 0, 1, -1, 0, 0, -1, 1, -1, 0, -3, -1, -3, -1, 0, -1, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1,\
 -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ],\
 [ -1, 1, 3, -1, -1, -1, 0, -1, 1, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 1, -1, -3, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, 0 ], [ -1, 1, 3, -1, -1, -1, 0, -1, \
1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 1, -1, -3, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, \
0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, \
-1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
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 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 10, 6, 12, 19, 18, 14, 10, 8, 6, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 9, 6, \
13, 19, 18, 14, 10, 8, 6, 2 ], [ 9, 6, 12, 20, 18, 14, 10, 8, 6, 2 ], [ -27, -18, -36, -57, -53, -42, -30, -24, -18, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ 18, 12, 24, 38, 36, 28, 21, 16, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -18, -12, -24, -38, -36, -28, -20, -16, -11, -4 ], [ 18, 12, 24, 38, 36,\
 28, 20, 16, 12, 5 ] ], thegtilde := [ [ 18, -17, 17, 17, -51, 17, 17, 0, 23, 0, 17, -17, -3, -3, -17, 17, -17, -3, -60, -20, -54, -20, 0, -8, -17, 0 ], [\
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23, -41, -111, -41, 0, -17, -35, 0 ], [ 30, -30, 30, 30, -89, 30, 30, 0, 40, 0, 30, -30, -5, -5, -30, 30, -30, -5, -105, -35, -95, -35, 0, -15, -30, 0 ], \
[ 30, -30, 30, 30, -90, 31, 30, 0, 40, 0, 30, -30, -5, -5, -30, 30, -30, -5, -105, -35, -95, -35, 0, -16, -30, 0 ], [ 18, -18, 18, 18, -54, 18, 19, 0, 24,\
 0, 18, -18, -3, -3, -18, 18, -18, -3, -63, -21, -57, -21, 0, -9, -18, 0 ], [ 14, -14, 14, 14, -42, 14, 14, 1, 18, 0, 14, -14, -2, -2, -14, 14, -14, -2, -\
48, -16, -44, -16, 0, -8, -14, 0 ], [ 14, -14, 14, 14, -42, 14, 14, 0, 19, 0, 14, -14, -2, -2, -14, 14, -14, -2, -48, -16, -44, -16, 0, -7, -14, 0 ], [ 6,\
 -6, 6, 6, -18, 6, 6, 0, 9, -1, 6, -6, -1, -1, -7, 7, -7, 0, -21, -7, -18, -7, 2, -2, -5, 2 ], [ 2, -2, 2, 2, -6, 2, 2, 0, 3, 0, 2, -3, 0, -1, -2, 2, -2, \
0, -7, -2, -6, -2, 0, -2, -1, 0 ], [ 4, -4, 4, 4, -12, 4, 4, 0, 5, 0, 3, -4, 0, -1, -4, 4, -4, 0, -13, -4, -12, -4, 0, -1, -3, 0 ], [ -2, 2, -2, -2, 6, -2\
, -2, 0, -2, 0, -2, 2, 1, 0, 2, -2, 2, 0, 6, 2, 6, 2, 0, 0, 2, 0 ], [ -2, 2, -2, -2, 6, -2, -2, 0, -2, 0, -2, 2, 0, 1, 2, -2, 2, 0, 6, 2, 6, 2, 0, 2, 2, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 1, 0, 2 ], [ 2, -2, 2, 2, -6, 2, 2, 0, 4, 0, 2, -2, -1, -1, -4, 3, -4, 0, -8,\
 -2, -6, -2, 2, 0, -2, 2 ], [ 6, -6, 6, 6, -18, 6, 6, 0, 8, 0, 6, -6, -1, -1, -6, 6, -5, -1, -21, -7, -19, -7, 0, -4, -6, 0 ], [ 2, -2, 2, 2, -6, 2, 2, 0,\
 2, 0, 2, -2, 0, 0, -2, 2, -2, 1, -6, -2, -6, -2, 0, -1, -2, 0 ], [ 10, -10, 10, 10, -30, 10, 10, 0, 14, 0, 10, -10, -2, -2, -10, 10, -10, -2, -35, -12, -\
32, -12, 0, -5, -10, 0 ], [ 2, -2, 2, 2, -6, 2, 2, 0, 2, 0, 2, -2, 0, 0, -2, 2, -2, 0, -6, -1, -6, -2, 0, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -2, 2, -2, -2, 6, -2, -2, 0, -2, 0, -2, 2, 0, 0, 2, -2, 2, 0, 6, 2, 6, 3, 0, 1, 2, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
1 ] ] ), rec( GramQ := [ [ -450, 8, -234, -112, -80, 38, 42, -12, 36, 28, 4, 7, 32, 20, 20, -4, -16 ], [ 8, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, \
0, 0, 0 ], [ -234, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -112, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ],\
 [ -80, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 38, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 42, -2, 28, 11, 1\
0, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -12, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 36, -4, 30, 14, 8, -6, -8, 6, -1\
0, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 28, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 4, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2\
, -2 ], [ 7, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 32, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 20, 0, 8, 2, 4,\
 -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 20, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -4, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0\
, 2, 2, -4, -2 ], [ -16, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 4, 0, -2, 8, -4, 0, -4, 8 ], [ 4, -8, 2, 4, -8, \
4, 0, 4, -8 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ -2, 4, 2, -8, 10, -4, 0, -4, 8 ], [ 8, -8, 0, 10, -20, 10, 0, 8, -16 ], [ -4, 4, 0, -4, 10, -8, 2, -4, 8 \
], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, 4, 0, -4, 8, -4, 2, -8, 12 ], [ 8, -8, 0, 8, -16, 8, 0, 12, -28 ] ], Sigma := [ [ 1, -2, -3, 1, 0, 0, 1, 2, -2, 0\
, 0, -1, -1, -1, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1\
, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 10, -11, 2, 10, -17, 6, 1, 5, 9, -2, 11, -11, -1, -1, -6, 7, -11, 7, -24, -5\
, -16, -6, 1, 0, -5, 6 ], embQ := [ [ 2, 0, 0, 2, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, -5, 7, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1,\
 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1,\
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1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1,\
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, 8, 3 ], rlifts := [ [ 2, -2, 0, 2, -3, 1, 0, 1, 0, 2, 2, -2, 0, 0, -1, 0, -2, 1, -3, 0, -3, 0, -1, -1, -2, 0 ] ], rootsQ := [ [ 1, -2, -3, 1, 0, 1, 0, 2\
, -2, 0, 0, 0, -1, -1, -1, -1, 0 ], [ -1, 2, 3, -1, 0, -1, 0, -2, 2, 0, 0, 0, 1, 1, 1, 1, 0 ], [ 1, -2, -3, 1, 0, 0, 1, 2, -2, 0, 0, -1, -1, -1, -1, -2, 0\
 ], [ -1, 2, 3, -1, 0, 0, -1, -2, 2, 0, 0, 1, 1, 1, 1, 2, 0 ], [ 1, -2, -3, 1, 0, 2, -1, 2, -2, 0, 0, -1, -2, 1, 1, 0, 2 ], [ -1, 2, 3, -1, 0, -2, 1, -2, \
2, 0, 0, 1, 2, -1, -1, 0, -2 ], [ 1, -2, -3, 1, 0, 1, 0, 2, -2, 0, 0, -2, -2, 1, 1, -1, 2 ], [ -1, 2, 3, -1, 0, -1, 0, -2, 2, 0, 0, 2, 2, -1, -1, 1, -2 ],\
 [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0,\
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tstypeQ := [ "A2", "A2", "A3" ], theg := [ [ 25, 20, 36, 52, 48, 36, 28, 20, 16, 6 ], [ -24, -19, -36, -52, -48, -36, -28, -20, -16, -6 ], [ 0, 0, 1, 0, 0\
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 6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 24, 20, 36, 52, 48, 36, 28, 21, 16, 6 ], [ -36, -30, -54, -78, -72, -54, -42, -30, -23, -9 ], [ 24, 20, 36, 52, \
48, 36, 28, 20, 16, 7 ] ], thegtilde := [ [ 49, -48, 0, 48, -72, 24, 0, 24, 30, 0, 48, -48, -3, -3, -24, 24, -48, 33, -93, -15, -63, -15, 0, 0, -24, 24 ],\
 [ 36, -35, 0, 36, -54, 18, 0, 18, 22, 0, 36, -36, -2, -2, -18, 18, -36, 25, -69, -11, -47, -11, 0, 0, -18, 18 ], [ 68, -68, 1, 68, -102, 34, 0, 34, 42, 0\
, 68, -68, -4, -4, -34, 34, -68, 47, -131, -21, -89, -21, 0, 0, -34, 34 ], [ 100, -100, 0, 101, -150, 50, 0, 50, 62, 0, 100, -100, -6, -6, -50, 50, -100, \
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4 ], [ 80, -80, 0, 80, -120, 41, 0, 40, 50, 0, 80, -80, -5, -5, -40, 40, -80, 55, -155, -25, -105, -25, 0, 0, -40, 40 ], [ 52, -52, 0, 52, -78, 26, 1, 26,\
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5, -69, -11, -47, -11, 0, 0, -18, 18 ], [ 32, -32, 0, 32, -48, 16, 0, 16, 21, 0, 32, -32, -2, -2, -16, 16, -32, 22, -62, -10, -42, -10, 0, 0, -16, 16 ], [\
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0, 0, 2, -2, 4, -2, 7, 1, 5, 1, 0, 0, 2, -2 ], [ 24, -24, 0, 24, -36, 12, 0, 12, 16, 0, 24, -24, -2, -2, -12, 12, -24, 16, -47, -8, -32, -8, 0, 0, -12, 12\
 ], [ -4, 4, 0, -4, 6, -2, 0, -2, -2, 0, -4, 4, 0, 0, 2, -2, 4, -3, 7, 2, 5, 1, 0, 0, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, -192, -92, -66, 31, 32, -8, 28, 24, 2, 4, 26, 18, 16, -4, -16 ], [ 6, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -192, 12, -144, -70, -4\
4, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -92, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -66, 2, -44, -20, -16, 8, 10, -2, \
8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 31, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 32, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2\
, -2, -2, -2 ], [ -8, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 28, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 24\
, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 2, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 4, 0, 4, 1, 2, -1, -2, 0, 0,\
 -1, 1, -4, -2, -2, -2, 2, 0 ], [ 26, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 18, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2,\
 2, 2 ], [ 16, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -4, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -16, 0, -4, -2, -2\
, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 4, -4, 2, 4, -4, -4, -4, 2 ], [ 4, -8, 6, 0, -4, 4, 4, 4, -2 ], [ -4, 6, -8, 2, 4, -4,\
 -4, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, -4, 4, 2, -12, 2, 2, -4, 0 ], [ -4, 4, -4, 0, 2, -12, -4, -12, 4 ], [ -4, 4, -4, 0, 2, -4, -8, -8, 4 ],\
 [ -4, 4, -4, 0, -4, -12, -8, -20, 6 ], [ 2, -2, 2, 0, 0, 4, 4, 6, -4 ] ], Sigma := [ [ 1, -2, -2, 1, -1, 1, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, -1 ], [ 1,\
 -2, -3, 1, 1, 1, 0, 2, -2, 0, 0, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1,\
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 -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 6, -7, 6, 2, -10, 4, 1, 3, 7, -2, 6, -6, -1, -1,\
 -4, 5, -6, 3, -16, -5, -11, -7, 1, -2, -3, 1 ], embQ := [ [ 2, 0, 2, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 4, -4, 5, 0, 0, 0, 0 ], [ 0, 1, 0, \
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], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, \
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -2, 2, 0, 1, -1, -1, -1, -1, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 2, -2, -1, 0, 1, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0,\
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], [ 0, -1, 0, 2, -3, 2, -2, 1, 0, 0, -1, 1, 0, 0, 2, -2, 1, 0, 0, -2, 1, 4, -1, -1, -2, -1 ], [ 0, -1, 0, 0, 0, 0, 1, -1, 2, 0, 1, -1, 0, 0, -2, 2, -1, -\
1, -2, -2, -4, -3, 1, 1, 1, 1 ], [ 0, -1, 0, 0, 1, 0, -1, -1, 2, 0, 0, 0, 0, 0, -2, 2, 0, 1, -2, -2, -1, -2, 1, 1, 1, 0 ], [ 0, -2, 0, 0, 0, 2, -2, 0, 2, \
0, 0, 0, 0, 0, -2, 2, 0, 1, -3, -5, -3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0 ] ], r := [ 10,\
 8, 14, 22, 20, 15, 11, 8, 6, 2 ], rlifts := [ [ 2, -2, 2, 0, -3, 1, 1, 1, 1, 0, 2, -2, 0, 0, -1, 1, -2, 1, -3, -1, -3, -2, 0, -1, -1, 0 ], [ 2, -2, 2, 0,\
 -2, 1, -1, 1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -1, -2, -1, 0, -1, -1, -1 ] ], rootsQ := [ [ -1, 2, 2, -1, 1, -1, 0, -1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ], \
[ 1, -2, -2, 1, -1, 1, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, -1 ], [ -1, 2, 3, -1, -1, -1, 0, -2, 2, 0, 0, 1, 1, 0, 1, 1, 0 ], [ 1, -2, -3, 1, 1, 1, 0, 2, -2\
, 0, 0, -1, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0,\
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 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, \
1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0,\
 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0\
, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 21, 16, 28, 44, 40, 30, 22, 16, 12, 4 ], [ -20, -15, -28, -4\
4, -40, -30, -22, -16, -12, -4 ], [ 20, 16, 29, 44, 40, 30, 22, 16, 12, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -30, -24, -42, -66, -59, -45, -33, -24, -\
18, -6 ], [ 10, 8, 14, 22, 20, 16, 11, 8, 6, 2 ], [ 10, 8, 14, 22, 20, 15, 12, 8, 6, 2 ], [ 10, 8, 14, 22, 20, 15, 11, 9, 6, 2 ], [ -20, -16, -28, -44, -4\
0, -30, -22, -16, -11, -4 ], [ 20, 16, 28, 44, 40, 30, 22, 16, 12, 5 ] ], thegtilde := [ [ 39, -38, 38, 0, -49, 19, 3, 19, 25, 0, 30, -30, -3, -3, -19, 19\
, -30, 16, -66, -22, -52, -33, 0, -19, -19, -8 ], [ 28, -27, 28, 0, -36, 14, 2, 14, 18, 0, 22, -22, -2, -2, -14, 14, -22, 12, -48, -16, -38, -24, 0, -14, \
-14, -6 ], [ 52, -52, 53, 0, -67, 26, 4, 26, 34, 0, 41, -41, -4, -4, -26, 26, -41, 22, -90, -30, -71, -45, 0, -26, -26, -11 ], [ 80, -80, 80, 1, -103, 40,\
 6, 40, 52, 0, 63, -63, -6, -6, -40, 40, -63, 34, -138, -46, -109, -69, 0, -40, -40, -17 ], [ 70, -70, 70, 0, -89, 35, 5, 35, 45, 0, 55, -55, -5, -5, -35,\
 35, -55, 30, -120, -40, -95, -60, 0, -35, -35, -15 ], [ 64, -64, 64, 0, -82, 33, 4, 32, 42, 0, 50, -50, -5, -5, -32, 32, -50, 27, -111, -37, -87, -55, 0,\
 -32, -32, -14 ], [ 42, -42, 42, 0, -53, 21, 2, 21, 27, 0, 32, -32, -3, -3, -21, 21, -32, 18, -72, -24, -56, -35, 0, -21, -21, -10 ], [ 28, -28, 28, 0, -3\
6, 14, 2, 15, 18, 0, 22, -22, -2, -2, -14, 14, -22, 12, -48, -16, -38, -24, 0, -14, -14, -6 ], [ 26, -26, 26, 0, -33, 13, 1, 13, 18, 0, 20, -20, -2, -2, -\
13, 13, -20, 11, -45, -15, -35, -22, 0, -13, -13, -6 ], [ 12, -12, 12, 0, -15, 6, 0, 6, 9, -1, 9, -9, -1, -1, -7, 7, -10, 6, -21, -7, -15, -10, 2, -4, -5,\
 -1 ], [ 2, -2, 2, 0, -2, 1, -1, 1, 2, 0, 1, -2, 0, -1, -1, 1, -1, 1, -4, -1, -2, -1, 0, -1, 0, -1 ], [ 6, -6, 6, 0, -8, 3, 1, 3, 4, 0, 4, -5, 0, -1, -3, \
3, -5, 3, -10, -3, -8, -5, 0, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 2, 2, 0, 2 ], [ 6, -6, 6, 0, -\
8, 3, 1, 3, 5, 0, 5, -5, -1, -1, -5, 4, -7, 3, -11, -3, -8, -5, 2, -1, -3, 1 ], [ 8, -8, 8, 0, -10, 4, 0, 4, 6, 0, 6, -6, -1, -1, -4, 4, -5, 3, -15, -5, -\
11, -7, 0, -4, -4, -2 ], [ -2, 2, -2, 0, 3, -1, -1, -1, -1, 0, -2, 2, 0, 0, 1, -1, 2, 0, 3, 1, 3, 2, 0, 1, 1, 0 ], [ 18, -18, 18, 0, -23, 9, 1, 9, 13, 0, \
14, -14, -2, -2, -9, 9, -14, 7, -32, -11, -25, -16, 0, -9, -9, -4 ], [ -2, 2, -2, 0, 2, -1, 1, -1, -1, 0, -1, 1, 0, 0, 1, -1, 1, -1, 3, 2, 2, 1, 0, 1, 1, \
1 ], [ 2, -2, 2, 0, -2, 1, -1, 1, 1, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -1, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -122, -10, -46, -20, -24, 6, 4, 16, -6, 6, -10, 1, 12, 12, 10, -4, -14 ], [ -10, -4,\
 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -46, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -20, 6, -70, -38, -20, 10\
, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -24, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 6, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1,\
 -6, -2, -2, 0, 0 ], [ 4, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ 16, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2\
 ], [ -6, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 6, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ -10, -2, 9, 6, \
1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 1, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 12, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2,\
 -12, -4, -4, 0, 0 ], [ 12, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 10, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -4\
, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -14, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 4, -4, 2,\
 4, 0, -4, 0, 8 ], [ 4, -8, 6, 0, -4, 0, 4, 0, -8 ], [ -4, 6, -8, 2, 4, 0, -4, 0, 8 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, -4, 4, 2, -8, 2, 4, 0, -8 ], [\
 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 4, -4, 0, 4, 2, -8, 2, 8 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 8, -8, 8, 0, -8, 0, 8, 4, -28 ] ], Sigma := [ [ 0, 0, 0\
, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, -3, -2, 1, 1, 0, 1, 2, -2, 0, 0, -1, -1, 0, \
-1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 10, -15, 10, 2, -13, 6, 5, 1, 9, -2, 11, -11, -1, -1\
, -6, 7, -11, 3, -24, -5, -20, -14, 5, 0, -1, 2 ], embQ := [ [ 2, 0, 2, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, -3, -3, 0, 0, 0, 0 ], [ 0, 1,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
-1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0,\
 -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -1, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 2, -2, -1, 0, 1, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 2, -4, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, 1, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1,\
 -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1,\
 -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, 0, 0, -2, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ] ], r := [ 10, 8, \
14, 22, 20, 16, 12, 10, 8, 3 ], rlifts := [ [ 2, -3, 2, 0, -2, 1, 1, 0, 0, 2, 2, -2, 0, 0, -1, 0, -2, 0, -3, 0, -4, -2, 0, -1, -1, -1 ] ], rootsQ := [ [ 0\
, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 1, -3, -2, 1, 1, 1, 0, 2, -2, 0, 0, 0\
, -1, 0, -1, 0, -1 ], [ -1, 3, 2, -1, -1, -1, 0, -2, 2, 0, 0, 0, 1, 0, 1, 0, 1 ], [ -1, 3, 2, -1, -1, -1, 0, -2, 2, 0, 0, 2, 2, -2, -1, 0, -1 ], [ 1, -3, \
-2, 1, 1, 1, 0, 2, -2, 0, 0, -2, -2, 2, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0\
, -1, 0 ], [ 1, -3, -2, 1, 1, 0, 1, 2, -2, 0, 0, -1, -1, 0, -1, -1, -1 ], [ -1, 3, 2, -1, -1, 0, -1, -2, 2, 0, 0, 1, 1, 0, 1, 1, 1 ], [ -1, 3, 2, -1, -1, \
-2, 1, -2, 2, 0, 0, 1, 2, -2, -1, -1, -1 ], [ 1, -3, -2, 1, 1, 2, -1, 2, -2, 0, 0, -1, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1\
, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0\
, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1,\
 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A2", "A2", "A3" ], theg := [ [ 21, 16, 28, 44, 40, 32, 24, 20, 16, 6 ], [ -20, -15, -28, -44, -40, -32, -24, -20, \
-16, -6 ], [ 20, 16, 29, 44, 40, 32, 24, 20, 16, 6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -20, -16, -28, -44, -39, -32, -24, -20, -16, -6 ], [ 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 20, 16, 28, 44, 40, 32, 25, 20, 16, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -30, -24, -42, -66, -60, -48, -36, -30, -23, -9 ], [ 2\
0, 16, 28, 44, 40, 32, 24, 20, 16, 7 ] ], thegtilde := [ [ 49, -72, 48, 0, -48, 24, 24, 0, 30, 0, 48, -48, -3, -3, -24, 24, -48, 9, -93, -15, -87, -63, 24\
, 0, 0, 0 ], [ 36, -53, 36, 0, -36, 18, 18, 0, 22, 0, 36, -36, -2, -2, -18, 18, -36, 7, -69, -11, -65, -47, 18, 0, 0, 0 ], [ 64, -96, 65, 0, -64, 32, 32, \
0, 40, 0, 64, -64, -4, -4, -32, 32, -64, 12, -124, -20, -116, -84, 32, 0, 0, 0 ], [ 100, -150, 100, 1, -100, 50, 50, 0, 62, 0, 100, -100, -6, -6, -50, 50,\
 -100, 19, -193, -31, -181, -131, 50, 0, 0, 0 ], [ 84, -126, 84, 0, -83, 42, 42, 0, 52, 0, 84, -84, -5, -5, -42, 42, -84, 16, -162, -26, -152, -110, 42, 0\
, 0, 0 ], [ 84, -126, 84, 0, -84, 43, 42, 0, 52, 0, 84, -84, -5, -5, -42, 42, -84, 16, -162, -26, -152, -110, 42, 0, 0, 0 ], [ 52, -78, 52, 0, -52, 26, 27\
, 0, 32, 0, 52, -52, -3, -3, -26, 26, -52, 10, -100, -16, -94, -68, 26, 0, 0, 0 ], [ 40, -60, 40, 0, -40, 20, 20, 1, 24, 0, 40, -40, -2, -2, -20, 20, -40,\
 8, -76, -12, -72, -52, 20, 0, 0, 0 ], [ 40, -60, 40, 0, -40, 20, 20, 0, 25, 0, 40, -40, -2, -2, -20, 20, -40, 8, -76, -12, -72, -52, 20, 0, 0, 0 ], [ 18,\
 -27, 18, 0, -18, 9, 9, 0, 12, -1, 18, -18, -1, -1, -9, 10, -18, 4, -35, -6, -32, -24, 10, 1, 1, 1 ], [ 4, -6, 4, 0, -4, 2, 2, 0, 3, 0, 4, -5, 0, -1, -2, \
2, -4, 1, -8, -1, -7, -5, 2, 0, 1, 0 ], [ 12, -18, 12, 0, -12, 6, 6, 0, 7, 0, 11, -12, 0, -1, -6, 6, -12, 3, -22, -3, -21, -15, 6, 0, 1, 0 ], [ -4, 6, -4,\
 0, 4, -2, -2, 0, -2, 0, -4, 4, 1, 0, 2, -2, 4, -1, 7, 1, 7, 5, -2, 0, 0, 0 ], [ -4, 6, -4, 0, 4, -2, -2, 0, -2, 0, -4, 4, 0, 1, 2, -2, 4, -1, 7, 1, 7, 5,\
 -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, -12, 8, 0, -8, 4, 4, 0, 6, 0, 8, -8, -1, -1, -4, 5,\
 -8, 1, -17, -3, -15, -11, 4, 0, 0, 0 ], [ 16, -24, 16, 0, -16, 8, 8, 0, 10, 0, 16, -16, -1, -1, -8, 8, -15, 3, -31, -5, -29, -21, 8, 0, 0, 0 ], [ 4, -6, \
4, 0, -4, 2, 2, 0, 2, 0, 4, -4, 0, 0, -2, 2, -4, 2, -7, -1, -7, -5, 2, 0, 0, 0 ], [ 28, -42, 28, 0, -28, 14, 14, 0, 18, 0, 28, -28, -2, -2, -14, 14, -28, \
5, -54, -9, -51, -37, 14, 0, 0, 0 ], [ 4, -6, 4, 0, -4, 2, 2, 0, 2, 0, 4, -4, 0, 0, -2, 2, -4, 1, -7, 0, -7, -5, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -4, 6, -4, 0, 4, -2, -2, 0, -2, 0, -4, 4, 0, 0, 2, -2, 4, -1, 7, 1, 7, 6, -2, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1 ] ] ), rec( GramQ := [ [ -174, 12, -150, -78, -44, 22, 22, -20, 28, 18, 10, -1, 8, 6, 6, 0, -8 ], [ 12, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0\
, 0, 0, 0, 0 ], [ -150, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -78, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -\
2 ], [ -44, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 22, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 22, -2, 28, 1\
1, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -20, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 28, -4, 30, 14, 8, -6, -8, 6\
, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 18, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 10, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, \
2, -2, -2 ], [ -1, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 8, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 6, 0, 8, 2\
, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 6, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2,\
 0, 2, 2, -4, -2 ], [ -8, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, 0, -4, 0, 0 ], [ 0, -4, 2, 0, 0, 0,\
 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 2, 4, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 0, 0,\
 4, 2, -8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ],\
 [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, 0, -2, 1, 0, 0, 1, 1, -1, 0, 0, -1, -1, -2, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0\
, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 10, -3, 2, 2, -13, 6, 1, 5, 9, -2, 7, -7, -1, -1, -6, 7, -7, 3, -20, -9, -16, -6, -3, -4, -5, 2 ], e\
mbQ := [ [ 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, -4, 6, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -\
1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, -1, 0, 0, -1, 2 ], \
[ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 2, \
-2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -\
1, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, 0, 0, -2, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 0, 0, 0, 0 ] ], r := [ 8, 6, 12, 18, 16, 12, 8, 6, 4, 1 ], rlifts := [ [ 2, 0, 0, 0, -2, 1\
, 0, 1, 0, 2, 1, -1, 0, 0, -1, 0, -1, 0, -2, -1, -3, 0, -2, -2, -2, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0\
, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ -1, 0, 2, -1, 0, -1, 0, -1, 1, 0, 0, 2, 2, 0, 0, 1, -1 ], [ 1, 0, -2, 1, 0, 1, 0, 1, -1, 0, 0, -2, -\
2, 0, 0, -1, 1 ], [ 1, 0, -2, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, -2, -2, -1, -1 ], [ -1, 0, 2, -1, 0, -1, 0, -1, 1, 0, 0, 0, 1, 2, 2, 1, 1 ], [ 0, 0, 0, 0, 0\
, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ -1, 0, 2, -1, 0, -2, 1, -1, 1, 0, 0, 1, 2, 0, 0, 0, -\
1 ], [ 1, 0, -2, 1, 0, 2, -1, 1, -1, 0, 0, -1, -2, 0, 0, 0, 1 ], [ 1, 0, -2, 1, 0, 0, 1, 1, -1, 0, 0, -1, -1, -2, -2, -2, -1 ], [ -1, 0, 2, -1, 0, 0, -1, \
-1, 1, 0, 0, 1, 1, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0,\
 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, \
0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1,\
 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0,\
 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A2", "A2", "A3" ], theg := [ [ 1\
7, 12, 24, 36, 32, 24, 16, 12, 8, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -12, -\
24, -36, -31, -24, -16, -12, -8, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 16, 12, 24, 36, 32, 24, 17, 12, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8,\
 -6, -12, -18, -16, -12, -8, -6, -3, -1 ], [ 16, 12, 24, 36, 32, 24, 16, 12, 8, 3 ] ], thegtilde := [ [ 29, 0, 0, 0, -28, 14, 0, 14, 20, 0, 14, -14, -3, -\
3, -14, 14, -14, 4, -44, -24, -38, -10, -14, -14, -14, 0 ], [ 20, 1, 0, 0, -20, 10, 0, 10, 14, 0, 10, -10, -2, -2, -10, 10, -10, 3, -31, -17, -27, -7, -10\
, -10, -10, 0 ], [ 40, 0, 1, 0, -40, 20, 0, 20, 28, 0, 20, -20, -4, -4, -20, 20, -20, 6, -62, -34, -54, -14, -20, -20, -20, 0 ], [ 60, 0, 0, 1, -60, 30, 0\
, 30, 42, 0, 30, -30, -6, -6, -30, 30, -30, 9, -93, -51, -81, -21, -30, -30, -30, 0 ], [ 52, 0, 0, 0, -51, 26, 0, 26, 36, 0, 26, -26, -5, -5, -26, 26, -26\
, 8, -80, -44, -70, -18, -26, -26, -26, 0 ], [ 48, 0, 0, 0, -48, 25, 0, 24, 34, 0, 24, -24, -5, -5, -24, 24, -24, 7, -75, -41, -65, -17, -24, -24, -24, 0 \
], [ 32, 0, 0, 0, -32, 16, 1, 16, 22, 0, 16, -16, -3, -3, -16, 16, -16, 5, -49, -27, -43, -11, -16, -16, -16, 0 ], [ 20, 0, 0, 0, -20, 10, 0, 11, 14, 0, 1\
0, -10, -2, -2, -10, 10, -10, 3, -31, -17, -27, -7, -10, -10, -10, 0 ], [ 20, 0, 0, 0, -20, 10, 0, 10, 15, 0, 10, -10, -2, -2, -10, 10, -10, 3, -31, -17, \
-27, -7, -10, -10, -10, 0 ], [ 10, 0, 0, 0, -10, 5, 0, 5, 8, -1, 5, -5, -1, -1, -5, 6, -5, 2, -16, -9, -13, -4, -4, -4, -4, 1 ], [ 4, 0, 0, 0, -4, 2, 0, 2\
, 3, 0, 2, -3, 0, -1, -2, 2, -2, 1, -6, -3, -5, -1, -2, -2, -1, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 2, 3, 0, 1, -2, 0, -1, -2, 2, -2, 1, -6, -3, -5, -1, -2, -2, \
-1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
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, -2, 0, -8, -4, -6, -2, -2, -2, -2, 0 ], [ 8, 0, 0, 0, -8, 4, 0, 4, 6, 0, 4, -4, -1, -1, -4, 4, -3, 1, -13, -7, -11, -3, -4, -4, -4, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 0, 0, 0, -12, 6, 0, 6, 10, 0, 6, -6, -2, -2, -6, 6, -6, 1, -20, -11, -17, -5, -6,\
 -6, -6, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 2, 2, 0, 2, -2, 0, 0, -2, 2, -2, 1\
, -5, -3, -4, -1, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ :=\
 [ [ -32, 1, -50, -24, -17, 7, 6, 0, 6, 6, 0, -2, 6, 4, 4, 0, -6 ], [ 1, -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -50, 12, -144, -70, -4\
4, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -24, 6, -70, -38, -20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -17, 2, -44, -20, -16, 8, 10, -2, \
8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 7, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -2, -2, 0, 0 ], [ 6, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, \
-2, -2, -2 ], [ 0, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], [ 6, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 6, -2,\
 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 0, -2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ -2, 0, 4, 1, 2, -1, -2, 0, 0, -1,\
 1, -4, -2, -2, -2, 2, 0 ], [ 6, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12, -4, -4, 0, 0 ], [ 4, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 \
], [ 4, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -6, 0, -4, -2, -2, 0, -2, \
2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, 2, 2, 2, 8 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, \
0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 0, -2, -2, -8 ], [ 2, 0, 0, 0, 0, -8, -2, -2, -10 ], [ 2, 0, 0, 0, -2, -2, -8, 0, -10 ], [ 2, 0, 0, 0, -2, -2\
, 0, -4, -6 ], [ 8, 0, 0, 0, -8, -10, -10, -6, -28 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0\
, 0, -1, -1, 2, 2, 1, 2 ], [ 1, -1, -2, 2, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0\
, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, -1, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 6, -4, 2, 2, -8, 4, 2, 2, 5, -2, 5, -5, -1, -1, -4, 5, -5, 3, -15, -4, -\
10, -5, 0, -1, -2, 2 ], embQ := [ [ 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0\
, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -\
1, -1, 0, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -\
1, -1, -1, 0, 0, -1, 2 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, \
1, -1, 0, -1, 1, 0, 0, 2, -2, 1, 0, 1, 0, 2, 4, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 3, -1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -2, 1, 3, -1, -1, 1, 1, 1, 1 \
], [ 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 3, 2, 0, 1, 1, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ] ], r := [ 8, 6, 12, 18, 16, 12, 9, 7, 6, 2 ], rlif\
ts := [ [ 2, -1, 0, 0, -2, 2, 0, 1, 0, 0, 1, -1, 0, 0, -1, 1, -1, 1, -3, -1, -2, 0, -1, -1, -1, 0 ], [ 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, -1, 1, \
-1, 1, -2, 0, -2, -1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0\
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1, 1, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 1, -1, -2, 2, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0\
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 -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0,\
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0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1\
", "A1", "A1", "A2", "A2" ], theg := [ [ 17, 12, 24, 36, 32, 24, 18, 14, 12, 4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
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 2 ], [ 8, 6, 12, 18, 16, 12, 9, 8, 6, 2 ], [ -24, -18, -36, -54, -48, -36, -27, -21, -17, -6 ], [ 16, 12, 24, 36, 32, 24, 18, 14, 12, 5 ] ], thegtilde :=\
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1, -8, -8, -8, 0 ], [ 24, -6, 0, 0, -18, 12, 6, 7, 4, 0, 12, -12, -2, -2, -12, 12, -12, 10, -36, -8, -26, -8, -6, -6, -6, 0 ], [ 24, -6, 0, 0, -18, 12, 6,\
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-10, -4, 0, 0, -1, 2 ], [ 2, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, -2, 0, -1, -1, 1, -1, 1, -3, 0, -2, -1, 0, 0, 1, 0 ], [ 6, -2, 0, 0, -5, 4, 1, 2, 1, 0, 2, -3,\
 0, -1, -3, 3, -3, 3, -9, -2, -6, -1, -2, -2, -1, 0 ], [ -2, 1, 0, 0, 2, -2, 0, -1, 0, 0, -1, 1, 1, 0, 1, -1, 1, -1, 3, 1, 2, 0, 1, 1, 1, 0 ], [ -2, 1, 0,\
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, 2 ], [ 4, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, -2, -1, -1, -4, 3, -4, 2, -6, 0, -4, -2, 2, 2, 0, 2 ], [ 8, -2, 0, 0, -6, 4, 2, 2, 2, 0, 4, -4, -1, -1, -4, 4, \
-3, 3, -13, -3, -9, -3, -2, -2, -2, 0 ], [ 0, -1, 0, 0, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 1, -1, -1, -1, 0 ], [ 18, -5, 0, 0, -14, 10\
, 4, 5, 4, 0, 9, -9, -2, -2, -9, 9, -9, 7, -28, -7, -20, -6, -5, -5, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0 ], [ 0, 1, 0, 0, 1, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1, 0 ], [ -2, 1, 0, 0, 2, -2, 0, -1, 0, 0, -1, 1, 0, 0, 1, -1, 1, -1, 3\
, 1, 2, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -94, 7, -110, -55, -35, 17, 18, -10, 18, 14, 4, 3, 10, 8, 8, -2, -8 ], [ 7, -4, 12, 6, \
2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -110, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -55, 6, -70, -38, -20, 10, 11, -\
12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -35, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 17, -2, 24, 10, 8, -6, -7, 2, -6, -3, -1, -1, -6, -\
2, -2, 0, 0 ], [ 18, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -10, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2, -2, 0, 2 ], \
[ 18, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 14, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 4, -2, 9, 6, 1, -1\
, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 3, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 10, 0, 16, 2, 8, -6, -8, -4, -4, -2, 2, -2, -12,\
 -4, -4, 0, 0 ], [ 8, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 8, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, 2 ], [ -2, 0, 0,\
 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -8, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -20, 0, 0, 6, 4, 0, 0\
, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -4, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2,\
 -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 1, -1, 0, 0,\
 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1 ], [ 0, 0, 0,\
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, 1 ], [ 1, 0, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 6, -4, 2, 2, -7, 2\
, 2, 0, 7, -2, 4, -4, -1, -1, -2, 3, -4, 0, -12, -3, -8, -5, 2, 1, 0, 1 ], embQ := [ [ 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, -2, 4,\
 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 3, 3, -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0,\
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, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, \
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
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, -6, 2, -2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 2, 6, -2, -2, -5, 0 ], [ 0, -3, 2, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, \
0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 1, -2, -2, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0\
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1, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0 ] ], r :=\
 [ 2, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, -1, 0\
, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 1, 1, 1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0,\
 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -\
1, 0 ], [ -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1 ], [ 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 2, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0,\
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, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1\
, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, -1,\
 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0,\
 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A2", "A2" ], theg := [ [ 5, 4, 8, 12, 12, 10, 8, 6, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -6, -5, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 13, -2, 0, 0, -6, \
0, 2, -2, 12, 0, 4, -4, -3, -3, 0, 0, -4, -5, -15, -3, -9, -5, 2, 2, 2, -2 ], [ 10, -1, 0, 0, -5, 0, 2, -2, 9, 0, 3, -3, -2, -2, 0, 0, -3, -4, -11, -2, -7\
, -4, 2, 2, 2, -2 ], [ 18, -4, 1, 0, -9, 0, 4, -4, 17, 0, 5, -5, -4, -4, 0, 0, -5, -8, -21, -4, -13, -8, 4, 4, 4, -4 ], [ 28, -5, 0, 1, -14, 0, 5, -5, 26,\
 0, 9, -9, -6, -6, 0, 0, -9, -11, -32, -6, -20, -11, 5, 5, 5, -5 ], [ 24, -5, 0, 0, -11, 0, 5, -5, 22, 0, 7, -7, -5, -5, 0, 0, -7, -10, -27, -5, -17, -10,\
 5, 5, 5, -5 ], [ 24, -4, 0, 0, -12, 1, 4, -4, 22, 0, 8, -8, -5, -5, 0, 0, -8, -9, -27, -5, -17, -9, 4, 4, 4, -4 ], [ 14, -3, 0, 0, -7, 0, 4, -3, 13, 0, 4\
, -4, -3, -3, 0, 0, -4, -6, -16, -3, -10, -6, 3, 3, 3, -3 ], [ 12, -2, 0, 0, -6, 0, 2, -1, 10, 0, 4, -4, -2, -2, 0, 0, -4, -4, -12, -2, -8, -4, 2, 2, 2, -\
2 ], [ 10, -2, 0, 0, -5, 0, 2, -2, 10, 0, 3, -3, -2, -2, 0, 0, -3, -4, -11, -2, -7, -4, 2, 2, 2, -2 ], [ 4, -1, 0, 0, -2, 0, 1, -1, 5, -1, 1, -1, -1, -1, \
-1, 1, -2, -1, -5, -1, -2, -2, 3, 3, 2, 1 ], [ 0, -1, 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, -1, 1, 1, 2, -1 ], [ 4, 0, 0, 0, -2, 0\
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[ -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1,\
 2, 2, 0, 2 ], [ 2, -1, 0, 0, -1, 0, 1, -1, 3, 0, 0, 0, -1, -1, -2, 1, -2, -1, -3, 0, -1, -1, 3, 3, 1, 1 ], [ 4, -1, 0, 0, -2, 0, 1, -1, 4, 0, 1, -1, -1, \
-1, 0, 0, 0, -2, -5, -1, -3, -2, 1, 1, 1, -1 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0 ], [ 8, -1, 0, 0, -4, \
0, 1, -1, 8, 0, 3, -3, -2, -2, 0, 0, -3, -3, -9, -2, -6, -3, 1, 1, 1, -1 ], [ 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0, 0, 0,\
 0, 0 ], [ -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0 ], [ -2, -1, 0, 0, 1, 0, 1, -1, -1, 0, -2, 2, 0, 0, 0, 0, 2, -1\
, 1, 0, 1, 0, 1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -470, 18, -250, -126, -76, 38, 38, -28, 44, 32, 12, 3, 20, 16, 14, -4, -16 ], [ 18,\
 -4, 12, 6, 2, -2, -2, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0 ], [ -250, 12, -144, -70, -44, 24, 28, -18, 30, 17, 9, 4, 16, 8, 8, 0, -4 ], [ -126, 6, -70, -38, -\
20, 10, 11, -12, 14, 8, 6, 1, 2, 2, 2, 0, -2 ], [ -76, 2, -44, -20, -16, 8, 10, -2, 8, 5, 1, 2, 8, 4, 4, 0, -2 ], [ 38, -2, 24, 10, 8, -6, -7, 2, -6, -3, \
-1, -1, -6, -2, -2, 0, 0 ], [ 38, -2, 28, 11, 10, -7, -12, 2, -8, -2, -2, -2, -8, -2, -2, -2, -2 ], [ -28, 4, -18, -12, -2, 2, 2, -10, 6, 2, 5, 0, -4, -2,\
 -2, 0, 2 ], [ 44, -4, 30, 14, 8, -6, -8, 6, -10, -3, -4, 0, -4, 0, 0, -2, -2 ], [ 32, -2, 17, 8, 5, -3, -2, 2, -3, -4, 0, -1, -2, -2, -2, 2, 2 ], [ 12, -\
2, 9, 6, 1, -1, -2, 5, -4, 0, -4, 1, 2, 2, 2, -2, -2 ], [ 3, 0, 4, 1, 2, -1, -2, 0, 0, -1, 1, -4, -2, -2, -2, 2, 0 ], [ 20, 0, 16, 2, 8, -6, -8, -4, -4, -\
2, 2, -2, -12, -4, -4, 0, 0 ], [ 16, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -4, -2, 2, 2 ], [ 14, 0, 8, 2, 4, -2, -2, -2, 0, -2, 2, -2, -4, -2, -4, 2, \
2 ], [ -4, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 2, -4, -2 ], [ -16, 0, -4, -2, -2, 0, -2, 2, -2, 2, -2, 0, 0, 2, 2, -2, -4 ] ], GramQperp := [ [ -8, \
0, -4, 2, 8, -4, 0, -4, 8 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 2, 8, -4, 0, -4, 8 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 8, 0, 8, 2, -20, 10, 0, \
8, -16 ], [ -4, 0, -4, 0, 10, -8, 2, -4, 8 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, 0, -4, 0, 8, -4, 2, -8, 12 ], [ 8, 0, 8, 0, -16, 8, 0, 12, -28 ] ], Si\
gma := [ [ 1, -1, -3, 1, 1, 0, 1, 1, -1, 0, 0, -1, -1, -1, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1,\
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2, 7, -7, -1, -1, -6, 7, -7, 3, -24, -5, -16, -10, 1, -4, -5, -2 ], embQ := [ [ 2, 0, 2, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, -5, 9, 0, 0, \
0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3,\
 -2, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, -1, -1, 1, -1, 1, 0, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -2, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -3, 1, -1, 1, -1, 0, -1, 1, 0, 0, 4, -4, 1, -1, 2, 1, 3, 5, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 1, -1,\
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1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 2, 0, 1, -2, -3, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, -1, 3, 5, 3, 3, 0, 0, 0, 0 ]\
 ], r := [ 12, 8, 16, 26, 24, 18, 14, 10, 8, 3 ], rlifts := [ [ 2, -1, 2, 0, -3, 1, 1, 0, 0, 2, 1, -1, 0, 0, -1, 0, -1, 0, -3, 0, -3, -1, -1, -2, -2, -2 ]\
 ], rootsQ := [ [ -1, 1, 3, -1, -1, -1, 0, -1, 1, 0, 0, 2, 2, -1, 0, 1, 0 ], [ 1, -1, -3, 1, 1, 1, 0, 1, -1, 0, 0, -2, -2, 1, 0, -1, 0 ], [ -1, 1, 3, -1, \
-1, -2, 1, -1, 1, 0, 0, 1, 2, -1, 0, 0, 0 ], [ 1, -1, -3, 1, 1, 2, -1, 1, -1, 0, 0, -1, -2, 1, 0, 0, 0 ], [ -1, 1, 3, -1, -1, 0, -1, -1, 1, 0, 0, 1, 1, 1,\
 2, 2, 2 ], [ 1, -1, -3, 1, 1, 0, 1, 1, -1, 0, 0, -1, -1, -1, -2, -2, -2 ], [ -1, 1, 3, -1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 1, 2, 1, 2 ], [ 1, -1, -3, 1, 1,\
 1, 0, 1, -1, 0, 0, 0, -1, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 2, 2,\
 1, 2 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2\
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-1 ], [ 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
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1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A2", "A2", "A3" ], theg := [ [ 25, 16, 32, 52, 48, 36, 28, 20, 16, 6 ], [ 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 24, 16, 33, 52, 48, 36, 28, 20, 16, 6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -48, -32, -64, -104, -95, -72, -56, -40, -32, -12 ], [ 24, 16, 32\
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 -9 ], [ 24, 16, 32, 52, 48, 36, 28, 20, 16, 7 ] ], thegtilde := [ [ 41, -20, 40, 0, -60, 20, 20, 0, 26, 0, 20, -20, -3, -3, -20, 20, -20, 7, -79, -13, -5\
3, -33, 0, -20, -20, -20 ], [ 28, -13, 28, 0, -42, 14, 14, 0, 18, 0, 14, -14, -2, -2, -14, 14, -14, 5, -55, -9, -37, -23, 0, -14, -14, -14 ], [ 52, -26, 5\
3, 0, -78, 26, 26, 0, 34, 0, 26, -26, -4, -4, -26, 26, -26, 9, -103, -17, -69, -43, 0, -26, -26, -26 ], [ 84, -42, 84, 1, -126, 42, 42, 0, 54, 0, 42, -42,\
 -6, -6, -42, 42, -42, 15, -165, -27, -111, -69, 0, -42, -42, -42 ], [ 72, -36, 72, 0, -107, 36, 36, 0, 46, 0, 36, -36, -5, -5, -36, 36, -36, 13, -141, -2\
3, -95, -59, 0, -36, -36, -36 ], [ 68, -34, 68, 0, -102, 35, 34, 0, 44, 0, 34, -34, -5, -5, -34, 34, -34, 12, -134, -22, -90, -56, 0, -34, -34, -34 ], [ 4\
0, -20, 40, 0, -60, 20, 21, 0, 26, 0, 20, -20, -3, -3, -20, 20, -20, 7, -79, -13, -53, -33, 0, -20, -20, -20 ], [ 32, -16, 32, 0, -48, 16, 16, 1, 20, 0, 1\
6, -16, -2, -2, -16, 16, -16, 6, -62, -10, -42, -26, 0, -16, -16, -16 ], [ 28, -14, 28, 0, -42, 14, 14, 0, 19, 0, 14, -14, -2, -2, -14, 14, -14, 5, -55, -\
9, -37, -23, 0, -14, -14, -14 ], [ 10, -5, 10, 0, -15, 5, 5, 0, 8, -1, 5, -5, -1, -1, -5, 6, -5, 2, -21, -4, -13, -9, 1, -4, -4, -4 ], [ 0, 0, 0, 0, 0, 0,\
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-3, -4 ], [ -4, 2, -4, 0, 6, -2, -2, 0, -2, 0, -2, 2, 1, 0, 2, -2, 2, -1, 7, 1, 5, 3, 0, 2, 2, 2 ], [ -4, 2, -4, 0, 6, -2, -2, 0, -2, 0, -2, 2, 0, 1, 2, -\
2, 2, -1, 7, 1, 5, 3, 0, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, -2, 4, 0, -6, 2, 2, 0, 4, 0, 2,\
 -2, -1, -1, -2, 3, -2, 0, -10, -2, -6, -4, 0, -2, -2, -2 ], [ 8, -4, 8, 0, -12, 4, 4, 0, 6, 0, 4, -4, -1, -1, -4, 4, -3, 1, -17, -3, -11, -7, 0, -4, -4, \
-4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 24, -12, 24, 0, -36, 12, 12, 0, 16, 0, 12, -12, -2, -2, -12, 12,\
 -12, 4, -47, -8, -32, -20, 0, -12, -12, -12 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -4, 0, 6, -2, -\
2, 0, -2, 0, -2, 2, 0, 0, 2, -2, 2, -1, 7, 1, 6, 3, 0, 2, 2, 2 ], [ -4, 2, -4, 0, 6, -2, -2, 0, -2, 0, -2, 2, 0, 0, 2, -2, 2, -1, 7, 1, 5, 4, 0, 2, 2, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1 ] ] ) ], walls := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 3, 4, 6, 6, 5, 4, 3, 2, 1 ], [ 8, 6, 10, 16, 14, 10, 8, 6, 4, 1 ], [ 14, 10,\
 18, 28, 26, 20, 14, 10, 8, 3 ], [ 2, 2, 3, 4, 3, 2, 1, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 2, 2, 2, 1 ], [ 8, 6, 11, 16, 15, 11, 8, 6, 4, 1 ], [ 8, 6, 11, 16,\
 15, 12, 9, 7, 6, 2 ], [ 7, 5, 9, 14, 12, 9, 6, 5, 4, 1 ], [ 10, 7, 13, 20, 18, 13, 10, 7, 6, 2 ], [ 6, 4, 7, 12, 11, 8, 6, 5, 4, 2 ], [ 6, 4, 7, 12, 11, \
9, 7, 5, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 6, 4, 8, 12, 10, 8, 6, 4, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 12, 8, 16, 24, 22, 16, 12, 10, 8, 3 ], [ 6, 4, 8, 12, 12, 9, 7, 5, 4, 2 ], [ 6, 4, 8, 12, 12, 10, 8, 6, 4, 1 ], [ 2, \
1, 2, 4, 4, 3, 2, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 5, 3, 2, 2, 1 ], [ 4, 2, 5, 8, 7, 5, 4, 3, 2, 0 ], [ 1, 0, 1, 2, 2, 2, 2, \
2, 2, 1 ], [ 3, 3, 5, 7, 6, 5, 4, 3, 2, 0 ], [ 6, 5, 9, 13, 12, 9, 6, 5, 4, 2 ], [ 5, 4, 7, 11, 10, 8, 6, 4, 4, 2 ], [ 8, 6, 11, 17, 16, 12, 10, 8, 6, 2 ]\
, [ 4, 3, 6, 9, 8, 5, 4, 3, 2, 1 ], [ 7, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 9, 6, 12, 19, 18, 14, 10, 8, 6, 2 ], [ 12, 1\
0, 18, 26, 24, 18, 14, 10, 8, 3 ], [ 10, 8, 14, 22, 20, 15, 11, 8, 6, 2 ], [ 10, 8, 14, 22, 20, 16, 12, 10, 8, 3 ], [ 8, 6, 12, 18, 16, 12, 8, 6, 4, 1 ], \
[ 8, 6, 12, 18, 16, 12, 9, 7, 6, 2 ], [ 2, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], [ 12, 8, 16, 26, 24, 18, 14, 10, 8, 3 ] ], weyl := [ 2, -3, 2, 2, -5, 2, 1, 1, -1,\
 2, 3, -3, 1, 1, -2, 1, -3, 2, -3, 0, -5, -1, -1, -2, -3, 0 ], weylprime := [ 2, -4, 2, 2, -5, 2, 1, 2, -1, 2, 3, -3, 1, 1, -2, 1, -3, 2, -3, 0, -5, -1, -\
1, -2, -3, 0 ] ), rec( GramL26 := [ [ 4, 2, 7, 10, 8, 7, 6, 3, 3, 0, -1, -1, -1, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, -2 ], [ 2, -8, 5, 5, 3, -2, 4, -3\
, 2, -3, -4, -4, 2, -6, -6, -5, -2, -1, -4, -5, -1, -1, -4, 0, 1, -3 ], [ 7, 5, 8, 14, 11, 9, 7, 5, 4, 2, 0, -1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, -2\
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 -2 ], [ 8, 6, 12, 16, 14, 11, 8, 5, 4, 1 ] ] ], interiorpt := [ 11, 7, 16, 23, 20, 15, 11, 8, 6, 2 ], isomto := [ ], m4R := 2144, name := "96A", ogR := 7\
247757312, orderOL10D := 24576, projR := [ [ 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 3/2, 0 ], [ 0, 1/2, 1/2, -1/2, -1/2, 0, 0, 0, 1/2, -1, 0, 1/2,\
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A1", "A1" ], volindex := 288, wallrecs := [ rec( GramQ := [ [ -16, -20, -30, -25, 6, -1, 1, -4, -5, 1, 2, -1, 0, 0, -2, 6, 0 ], [ -20, -28, -40, -35, 8, -\
3, 1, -6, -5, 1, 1, -2, 0, 0, -4, 8, -2 ], [ -30, -40, -60, -51, 12, -3, 3, -9, -9, 3, 3, -3, 0, 0, -6, 12, 0 ], [ -25, -35, -51, -46, 10, -5, 3, -9, -7, \
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 -2, 0, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, 0, 4, 4, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -1, 1, -\
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0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 1, -5, 2, 2, 2, 1, 4, 2, 1, -5, -4, 0, -7, 3, -5, 1, 0, -6\
, -6, -2, -8, -2, -6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 4, 0, 0, -3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, -2, -1, -1, 0 ], [ 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -1, 0, -1, 1, 0,\
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rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 1, -1, 1,\
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0, 0 ], [ 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 1, 0, \
0, 0, 0, 0, -1, 0, -1, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1",\
 "A1", "A1", "A1", "A1" ], theg := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, \
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 0, 0, 1, 1, -2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, \
0, 1, -2, 0, 1 ], [ -1, 1, 0, 3, -3, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, -1, 1, 2, -1, -2, -1, -2, 1, -1 ], [ -2, 0, 1, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0\
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0, 0, 0, 1, 0, 1 ] ] ), rec( GramQ := [ [ -16, -18, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -18, -40, -22, -34, -31, 6, -10, -4, -14, -16\
, -3, -5, -10, 0, -6, 6, 2 ], [ -20, -22, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -34, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, \
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3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -10, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, \
0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -6, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 6, 8, 12, 10\
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 [ 0, -12, 4, 0, 0, 0, 0, 0, 0 ], [ 2, 4, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, \
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1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, -4, 3, 2, -6, 2, 2, 2, 0, 4, 2, 1, -5, 0, 0, -3, 2, -5, 1, 0, -2, -2, 2, -3, -3, -2 ], embQ := [ [ 1, 0, 0,\
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 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, \
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0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, \
0, 0, 0, 1, 1, 1, 1, -1, 1 ] ], rootsQ := [ [ 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, 0, 2 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0,\
 -2 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 1 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, -1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, \
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, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0\
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1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0\
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 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 2, 0, 0,\
 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -39, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0\
 ], [ -20, -28, -40, -33, -50, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -72, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33,\
 -48, -42, -67, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -39, -50, -72, -67, -164, 14, -22, -18, -23, -27, -5, -7, -12, 6, -12, 16, -4 ], [ 6, 8, \
12, 10, 14, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -22, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -18, -2, -8\
, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -23, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -27, 2, -6, -2, -8, -12,\
 -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -5, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -7, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2\
, -2 ], [ 0, 0, 0, -4, -12, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 6, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -12, -2, \
-6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 16, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0\
, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, -4, 4, 0, 0, 0 ], [ 2, 0, 6, -8, 6, -4, 0, 0\
, 0 ], [ 0, 0, -4, 6, -8, 6, 0, 0, 0 ], [ 0, 0, 4, -4, 6, -8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, \
0, 0, 4, -12 ] ], Sigma := [ [ -1, 0, 1, -2, 1, 1, 0, -2, 1, -2, 0, 0, 2, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, \
1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1,\
 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 4, -1, 6, -14, 10, 2, 2, 0, 12, 6, \
1, -13, -8, 0, -15, 2, -13, 1, 0, -10, -14, -2, -13, -1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -7, 2, 0, 0, 0, 0, 0, 0, 0, 0\
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1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0\
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( GramQ := [ [ -16, -20, -30, -24, -18, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -22, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -3\
0, -40, -60, -48, -30, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -31, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -18, -22, -30\
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2, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -14, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -15, 3, -8, -4, -10, -8,\
 -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -19, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -7, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2,\
 -2, -2 ], [ 3, 3, 6, 1, -7, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -8, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, \
0, 4, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -8, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 8, -4, 0, 0, 2, 2, -2, -2, \
0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, \
0, 0 ], [ 0, 2, -8, 6, -4, 0, 0, 4, -2 ], [ 2, 0, 6, -8, 8, 0, 0, -4, 2 ], [ 0, 0, -4, 8, -20, 4, 0, 4, -2 ], [ 0, 0, 0, 0, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0\
, 0, 2, -4, 2, 0 ], [ 0, 0, 4, -4, 4, 0, 2, -8, 4 ], [ 0, 0, -2, 2, -2, 0, 0, 4, -4 ] ], Sigma := [ [ -1, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 4, 0, 0,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1\
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[ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 4, -1, 6, -10, 2, 2, 10, -4, 12, 6, 1, -13, -8, 0, -15, 2, -13, 1, 0, -10, -10, 0, -11, -3, -16 ], embQ := [ [ 1, 0, \
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 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0\
, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1\
, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 0, -4, -2, 0, 0, -2, 0, 0, 0, -4, 0, 0, 2, 0, 2,\
 3, 0, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, \
-2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1\
, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 8, 6, 12, 16, 14, 11, 8, 5, 4, 1 ], rlifts := [ [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 2, 1, -1, -1\
, -1, -1, -1, -1, -2, -1, 1, 0, 0, 2, 0, 1, -2 ] ], rootsQ := [ [ -1, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 4, 0, 0, 0, 1 ], [ 1, 0, -1, 1, -1, -1, 1, 1\
, 1, 1, 1, 1, -4, 0, 0, 0, -1 ], [ -1, 0, 1, -1, 1, 1, -1, -2, 0, -2, 0, 0, 3, -1, 0, -1, 0 ], [ 1, 0, -1, 1, -1, -1, 1, 2, 0, 2, 0, 0, -3, 1, 0, 1, 0 ], \
[ -1, 0, 1, -1, 1, 1, 1, -2, 0, -2, 0, 0, 2, -1, -2, -1, -1 ], [ 1, 0, -1, 1, -1, -1, -1, 2, 0, 2, 0, 0, -2, 1, 2, 1, 1 ], [ -1, 0, 1, -1, 1, 1, 1, -3, 1,\
 -3, 1, 1, 1, -2, -2, -2, -2 ], [ 1, 0, -1, 1, -1, -1, -1, 3, -1, 3, -1, -1, -1, 2, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], \
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, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, \
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"A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -16, -12, -23, -32, -28, -22, -16, -10, -8, -2 ], [ 16, 12, \
24, 33, 28, 22, 16, 10, 8, 2 ], [ -8, -6, -12, -16, -13, -11, -8, -5, -4, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 0, 0, -2, 2, 0, 0, -4, 2, -4, -2, 0, 4, 2, 0, 4, 0, 4, 0, 0, 2, 2, 0, 2, 1, 5 ], [ 0, 0, 0, 0\
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[ -2, 0, 0, 2, -2, 0, 0, 4, -2, 4, 2, 0, -4, -2, 0, -4, 0, -4, 0, 0, -2, -2, 1, -2, -1, -4 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -31, 6, 0, 0, -3, \
-4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -42, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -60, 12, 0, 0, -6, -6, 6, 6, 0, 0, \
0, 12, 0 ], [ -24, -33, -48, -42, -53, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -31, -42, -60, -53, -82, 15, -9, -8, -13, -14, 1, 1, -4, 3, -4, 14\
, -4 ], [ 6, 8, 12, 10, 15, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -9, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, \
-3, -8, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -13, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -14, 2, -6\
, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, 1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, 1, -3, -8, -5, -5, -3, -5, -8, -\
6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2\
, -4, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 14, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2\
, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 0, 4, 0, 2, -2 ], [ 2, 0, 2, -4, 2\
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-2, 0, 0, 2, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, -1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, 1, 0, -1, -1, -1\
 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, \
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1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0\
, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -8, 4, 2, 4, 0, 4, 4, 1, -7, -6, 0, -9, 2, -7, 1, 0, -6, -7, -3, -8, -2, -7 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0\
, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1\
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 [ 0, 0, 0, 0, 0, 1, 0, 1, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0,\
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 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,\
 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -3, 2, -1, 1, 1, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 1, 0, \
0, 0, 1, -4, 2, 2, -2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, 1, 1, -1, -1, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, \
-1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 2, -2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, -1, 0, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2,\
 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 4, 3, 6, 8, 6, 4, 3, 2, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, -1, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, -1, -1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 1, -1, -1, 0, 1, \
0, 1, 0, 1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, -1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 0, 1, 0, 1, 0, -1, -1, 0, 1, 1, 1 ], [ 0, 0\
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-2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0,\
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, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, \
0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := \
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -5, -8, -6, -4, -3, -2, -2, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 4, 3, 6, 8, 6, 5, 3, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 3, 6, 8, 6, 4, 3, 3, 2, 1 ], [ -4, -3, -6, -8, -6, -4\
, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -8, 6, 0, 6, 2, 0, 6, 0, -6, -6, 0, -6, 0, -6, 0, 0, 0, -3, -2, -4, -\
3, -2 ], [ 0, 1, 1, 0, -4, 3, 0, 3, 1, 0, 4, 0, -3, -4, 0, -4, 1, -3, 0, 2, -1, -3, -2, -4, -2, -2 ], [ 0, 0, 3, 0, -10, 8, 0, 8, 2, 0, 8, 0, -8, -8, 0, -\
8, 0, -8, 0, 0, 0, -4, -3, -5, -5, -3 ], [ 0, 0, 4, 1, -16, 12, 0, 12, 4, 0, 12, 0, -12, -12, 0, -12, 0, -12, 0, 0, 0, -6, -4, -8, -6, -4 ], [ 0, 0, 4, 0,\
 -13, 10, 0, 10, 4, 0, 10, 0, -10, -10, 0, -10, 0, -10, 0, 0, 0, -5, -3, -7, -6, -3 ], [ 0, 0, 3, 0, -9, 7, 0, 6, 3, 0, 7, 0, -7, -7, 0, -7, 1, -6, 1, 1, \
-1, -4, -3, -6, -5, -2 ], [ 0, 0, 2, 0, -7, 5, 1, 5, 2, 0, 5, 0, -5, -5, 0, -5, 0, -5, -1, 0, 0, -2, -1, -3, -3, -1 ], [ 0, 0, 1, 0, -3, 2, 0, 3, 1, 0, 3,\
 0, -3, -3, 0, -3, 1, -2, 1, 1, -1, -2, -2, -3, -3, -1 ], [ 0, 0, 0, 0, -2, 2, 0, 2, 1, 0, 2, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, -1, -1, -2, -1, -1 ], [ 0,\
 0, 0, 0, -1, 1, 0, 1, 0, 1, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, 0, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, -1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0,\
 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -1, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, 0, 8, -1, \
-1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, 0, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -5, 10, -5, -3, -9, -7, 2, 1,\
 -4, 0, -2, 10, -2 ], [ -1, 0, 0, -5, -24, 2, -12, -8, -12, -12, -7, -9, -10, 0, -6, 0, 0 ], [ 6, 8, 12, 10, 2, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 \
], [ 0, -1, 0, -5, -12, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -8, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6,\
 -9, -12, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -12, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -7, -2, -5, -\
3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -9, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -10, 0, -8, -4, -8, -6, -4, -6, \
-8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -6, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 1\
0, 0, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, \
0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, -2, 0, 0, 2, -6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, -2, 2, -8, 2, 0, 2, -6 ], [ 0, 0, 0, 0, 2, \
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[ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
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 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -6, 2, 2, 2, 0, 12, 6, 1, -9, -4, 0, -11, 2, -5, 1, 0, -10, -10, -4, -13, -1, -12 ]\
, embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1,\
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, 0, 0, -1, -2, 1, 0, -1, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0\
, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2\
, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 4, 3, 6, 8, 6, 5, 4, 3, 2, 0 ], rlifts := [ [ 0, 0, -1, 0, 1, 0, 0, 0,\
 -1, 2, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, -2 ] ], rootsQ := [ [ 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, 0, 1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, -\
1, 0, 0, 1, 1, 1, 0, 0, -1, 1, 0, 1, 0 ], [ 0, -1, 0, 1, 1, 1, 0, -1, 0, -1, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 1, 0, -1, -1, -1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1\
, 0 ], [ 0, 1, 0, -1, 1, 1, 0, -1, 0, -1, 0, 0, 1, -1, -1, -2, 0 ], [ 0, -1, 0, 1, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 1, 2, 0 ], [ 0, 0, 0, 0, 1, 2, 0, -1, \
1, -1, 0, 0, 0, -1, -2, -2, 0 ], [ 0, 0, 0, 0, -1, -2, 0, 1, -1, 1, 0, 0, 0, 1, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0,\
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 -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0,\
 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, \
0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0,\
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, "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -5, -8, -6, -5, -4, -3, -2, 0 ], [ 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0 ], [ 4, 3, 6, 8, 7, 5, 4, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -4, -\
3, -6, -8, -6, -5, -4, -3, -1, 0 ], [ 8, 6, 12, 16, 12, 10, 8, 6, 4, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -2, 0, 0, 0, 2, 12, 6, 0, -6, 0, 0, -6, 0, 0, 0, \
0, -6, -6, -2, -10, 0, -8 ], [ 0, 1, 1, 0, -1, 0, 0, 0, 1, 6, 3, 0, -3, 0, -1, -4, 1, 0, 1, 2, -4, -4, -2, -7, -1, -5 ], [ 0, 0, 3, 0, -2, 0, 0, 0, 2, 16,\
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6 ], [ 0, 0, 4, 0, -3, 0, 0, 0, 4, 20, 10, 0, -10, 0, 0, -10, 0, 0, 0, 0, -10, -10, -3, -17, -1, -13 ], [ 0, 0, 3, 0, -3, 1, 0, 0, 3, 14, 7, 0, -8, 0, -1,\
 -8, 1, 0, 1, 1, -8, -7, -3, -13, -2, -9 ], [ 0, 0, 2, 0, -2, 0, 1, 0, 2, 12, 6, 0, -6, 0, 0, -6, 0, 0, 0, 0, -6, -6, -2, -10, -1, -8 ], [ 0, 0, 1, 0, -1,\
 0, 0, 1, 1, 6, 3, 0, -4, 0, -1, -4, 1, 0, 1, 1, -4, -3, -2, -6, -2, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, -2, -1, -4,\
 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -1, 0, 2, 0, 0, 2, 0, 0\
, 0, 0, 2, 2, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, 2, 1, -2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -23, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33,\
 -32, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -45, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -42, 10, -5, -\
3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -23, -32, -45, -42, -58, 14, -8, -6, -13, -9, -1, -3, -6, -4, -2, 10, -4 ], [ 6, 8, 12, 10, 14, -8, -2, -2, 3, 2, \
-2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -8, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -6, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4,\
 0, -2 ], [ -3, -4, -6, -9, -13, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -9, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, \
3, 6, 2, -1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -3, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -6, 0, -8,\
 -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -4, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4,\
 0, 0 ], [ 6, 8, 12, 10, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -\
4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -12, 0, -12, 2, 4, 0, -2 ], [ 2, 0, 0, -4, -4, 2, 0, 0, 0 ], [ 0, 0, -12, -4, -20, 4,\
 4, 0, -2 ], [ 0, 0, 2, 2, 4, -4, 2, 0, 0 ], [ 0, 0, 4, 0, 4, 2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, -2, 0, -2, 0, 2, 2, -4 ] ], Sigma := \
[ [ 0, 0, 1, -2, 1, 1, 0, -1, 0, -1, 0, 0, 2, -2, -1, -1, 0 ], [ 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 1, 0, 1, -2, -1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1,\
 -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0,\
 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4,\
 -1, 3, -9, 2, 6, 2, -1, 8, 4, 1, -7, -4, 0, -9, 3, -7, 1, 0, -10, -8, -1, -10, -2, -9 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -5,\
 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
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, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, -3, -2, -2 ] ] ), rec( GramQ := [ [ -58, -78, -117, -98, -16, 18, 6, 6, -6, -1, 5, 6, 0, -6, 6, 6, 0 ], [ -78, -108, -160, -135, -22, 24, 7, 7, -8, 1, 7\
, 7, 0, -8, 8, 8, -2 ], [ -117, -160, -240, -201, -33, 36, 12, 12, -12, 0, 12, 12, 0, -12, 12, 12, 0 ], [ -98, -135, -201, -172, -28, 30, 5, 7, -14, -2, 7\
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0 ], [ 6, 7, 12, 5, 2, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 6, 7, 12, 7, 2, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -6, -8, -12, -\
14, -1, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -1, 1, 0, -2, 1, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 5, 7, 12, 7, 1, -2, -5, -3, -3,\
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4, 0, 0 ], [ -6, -8, -12, -10, -2, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 6, 8, 12, 8, 2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10,\
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], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 0, 0, 0, -2, -2 ], [ 2, 0, 6, -8, 2, 0, 0, 2, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, \
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, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ \
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1, 0, 1, 0, 0 ], [ 0, 1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 3, -7, 2, 2, 2, 1, 4, 4, 1, -5, -4, 0, \
-7, 3, -7, 1, 0, -6, -6, -2, -9, -1, -8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3 ], [ 0, 0, 1, 0, 0, \
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1\
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, 0, 2, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 3, 0, 0, -1, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, -1, -1, -1, -1, -3 ], [ -1, 0,\
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, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2,\
 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 1, 1, 2, 2, 2, 2, 2, 2, 2, \
1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1\
, -1, 0, 0, 0, 0, 0, -1, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1,\
 -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, -1, 1, 0, -1, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 1, 0, -\
1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0 ], [ 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "\
A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, -1, -\
2, -2, -2, -2, -2, -2, -1 ], [ 1, 1, 2, 3, 2, 2, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -1, -1, -2, -2, -2, -2, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 2, \
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10, 0, 0, 0, 0, 2, -12, 0, -8 ], [ 0, 0, 4, 3, -6, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 0, 3, -8, 0, 0, 0, 0, 2, -10, -1, -6 ], [ 0, 0, 3, 1, -4, 1, 0, 0, 8, 0, \
7, 0, -1, -1, 0, -1, 2, -6, 1, 1, -1, -1, 0, -9, -2, -5 ], [ 0, 0, 2, 2, -4, 0, 1, 0, 5, 0, 5, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 1, -6, -1, -4 ], [ 0, 0, \
1, 1, -2, 0, 0, 1, 4, 0, 5, 0, -1, -1, 0, -1, 2, -4, 1, 1, -1, -1, -1, -6, -2, -4 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0,\
 0, -3, 0, -2 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 2, 0, -1, 0, 0, -1, 2, -2, 1, 0, -1, 0, -1, -4, -1, -2 ], [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0,\
 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0\
, 1, 0, -1, 0, 0, 0, 1, -1, 0, -2, 0, 2, 0, -1, 0, 1 ], [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, -1, 2, 0, 2, 0, -2, -1, 1, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 2, -2, -2, -2, -2, -\
2, -2 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0\
, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -53, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0,\
 6, 0 ], [ -20, -28, -40, -33, -72, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -102, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24\
, -33, -48, -42, -97, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -53, -72, -102, -97, -332, 20, -34, -28, -34, -36, -5, -11, -18, 10, -18, 24, -8 ],\
 [ 6, 8, 12, 10, 20, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -34, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -2\
8, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -34, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -36, 2, -6, -2,\
 -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -5, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -11, -3, -8, -5, -5, -3, -5, -8, -6,\
 0, -4, -2, -2 ], [ 0, 0, 0, -4, -18, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 10, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2\
, -18, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 24, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -8, 0, -2, -2, 0, 2, -\
2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -16, 8, -18, 6, 0, 8, -18 ], [ 2, 0, 8, \
-8, 12, -4, 0, -4, 8 ], [ 0, 0, -18, 12, -32, 12, 0, 12, -26 ], [ 0, 0, 6, -4, 12, -8, 2, -4, 8 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 8, -4, 12, -4, \
2, -8, 12 ], [ 0, 0, -18, 8, -26, 8, 0, 12, -28 ] ], Sigma := [ [ 0, -1, 1, -2, 1, 1, 0, -3, 0, -3, 1, 0, 3, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, \
1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, \
0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, \
4, -1, 6, -18, 10, 2, 10, -4, 12, 6, 1, -17, -12, 0, -19, 6, -21, 1, 0, -10, -14, 0, -13, -5, -16 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2\
, 0, 2, -10, 2, 0, 0, 0, -1, 0, 0, 0, -2, 0, 1, 0, 0, -1, 0, 0, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp\
 := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, \
2, 2, 2, 2, -1, 2 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2, 0, 2, -2, 0, 1, 0, -2, 0, 0, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, \
0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ 0, 0, 0, 1, -3, 2, 0, 2, 3, -10, 0, 0, 3, -2, 0, 3, 1, -4, 0, 0, 5, 4, 1, 3, -1, 4 ], [ 0, 0, 0, 0, 2, -4\
, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0\
, 4, 4, 0, 1, -2, 0 ] ], r := [ 10, 7, 14, 20, 18, 13, 10, 7, 6, 2 ], rlifts := [ [ 0, 0, -1, 1, -2, 2, 0, 2, -2, 2, 1, 0, -3, -2, 0, -3, 1, -4, 0, 0, -1,\
 -2, 0, -1, -1, -3 ] ], rootsQ := [ [ 0, 0, 1, -3, 1, 0, 0, -3, -1, -3, 1, 0, 4, -1, -1, -1, -1 ], [ 0, 0, -1, 3, -1, 0, 0, 3, 1, 3, -1, 0, -4, 1, 1, 1, 1\
 ], [ 0, -1, 1, -2, 1, 1, 0, -3, 0, -3, 1, 0, 3, -1, -2, -1, -1 ], [ 0, 1, -1, 2, -1, -1, 0, 3, 0, 3, -1, 0, -3, 1, 2, 1, 1 ], [ 0, 1, 1, -4, 1, 1, 0, -3,\
 0, -3, 1, 0, 4, -1, -2, -2, -1 ], [ 0, -1, -1, 4, -1, -1, 0, 3, 0, 3, -1, 0, -4, 1, 2, 2, 1 ], [ 0, 0, 1, -3, 1, 2, 0, -3, 1, -3, 1, 0, 3, -1, -3, -2, -1\
 ], [ 0, 0, -1, 3, -1, -2, 0, 3, -1, 3, -1, 0, -3, 1, 3, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, \
-1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -\
1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ]\
, [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -10, -7, -13, -20, -18, -13, -10, -7, -6, -2 ], [ 20, 14, 28, 41, 36, 26, 20, 14, 12, 4 ],\
 [ -30, -21, -42, -60, -53, -39, -30, -21, -18, -6 ], [ 20, 14, 28, 40, 36, 27, 20, 14, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 14, 28, 40, 36, 2\
6, 20, 15, 12, 4 ], [ -30, -21, -42, -60, -54, -39, -30, -21, -17, -6 ], [ 20, 14, 28, 40, 36, 26, 20, 14, 12, 5 ] ], thegtilde := [ [ 1, 0, 2, 16, -50, 3\
2, 0, 32, -14, 32, 16, 0, -48, -32, 0, -48, 16, -64, 0, 0, -16, -32, 9, -25, -16, -39 ], [ 0, 1, 1, 9, -28, 18, 0, 18, -8, 18, 9, 0, -27, -18, -1, -28, 10\
, -36, 1, 2, -10, -19, 4, -16, -10, -23 ], [ 0, 0, 3, 20, -62, 40, 0, 40, -18, 40, 20, 0, -60, -40, 0, -60, 20, -80, 0, 0, -20, -40, 11, -31, -21, -49 ], \
[ 0, 0, 4, 33, -100, 64, 0, 64, -28, 64, 32, 0, -96, -64, 0, -96, 32, -128, 0, 0, -32, -64, 18, -50, -32, -78 ], [ 0, 0, 4, 26, -81, 52, 0, 52, -22, 52, 2\
6, 0, -78, -52, 0, -78, 26, -104, 0, 0, -26, -52, 15, -41, -27, -63 ], [ 0, 0, 3, 19, -60, 39, 0, 38, -16, 38, 19, 0, -58, -38, -1, -58, 20, -76, 1, 1, -2\
0, -38, 10, -31, -21, -46 ], [ 0, 0, 2, 14, -44, 28, 1, 28, -12, 28, 14, 0, -42, -28, 0, -42, 14, -56, 0, 0, -14, -28, 8, -22, -15, -34 ], [ 0, 0, 1, 11, \
-34, 22, 0, 23, -10, 22, 11, 0, -34, -22, -1, -34, 12, -44, 1, 1, -12, -22, 5, -18, -13, -27 ], [ 0, 0, 0, 6, -18, 12, 0, 12, -5, 12, 6, 0, -18, -12, 0, -\
18, 6, -24, 0, 0, -6, -12, 3, -10, -6, -15 ], [ 0, 0, 0, 4, -12, 8, 0, 8, -4, 9, 4, 0, -13, -8, 0, -13, 5, -16, 1, 0, -5, -8, 1, -8, -5, -10 ], [ 0, 0, 0,\
 -2, 6, -4, 0, -4, 2, -4, -1, 0, 6, 4, 0, 6, -2, 8, 0, 0, 2, 4, -1, 2, 2, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, \
0, 1 ], [ 0, 0, 0, 2, -6, 4, 0, 4, -2, 4, 2, 0, -7, -4, 0, -6, 2, -8, 0, -2, -2, -2, 1, -3, -2, -3 ], [ 0, 0, 0, -2, 6, -4, 0, -4, 2, -4, -2, 0, 6, 5, -2,\
 6, -2, 8, 0, 2, 2, 4, -1, 3, 2, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 2, \
-6, 4, 0, 4, -2, 4, 2, 0, -6, -4, 0, -6, 2, -7, 0, 0, -2, -4, 1, -3, -2, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, \
-1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 6, -4, 0, -4, 2, -4, -2, 0, 6, 4, 0, 6\
, -2, 8, 0, 0, 2, 4, 0, 3, 2, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 2, -6, 4, 0, 4, -2, 4, 2, 0, -6, -4, 0, -6, 2, -8, 0, 0, -2, -4, 1, -3, -2, -4 ] ] ), rec( GramQ\
 := [ [ -16, -20, -30, -24, -10, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -13, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40,\
 -60, -48, -18, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -18, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -10, -13, -18, -18, \
-12, 5, -4, -2, -6, -4, -2, -2, -4, -2, -1, 4, -2 ], [ 6, 8, 12, 10, 5, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -4, -2, -12, -8, -8, \
-6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -2, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -6, 3, -8, -4, -10, -8, -3, -5, -8, \
0, -4, 2, 0 ], [ -4, -3, -6, -7, -4, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3\
, 3, 6, 1, -2, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -2, 2, 2, 2\
, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -1, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 4, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, \
0 ], [ 0, -2, 0, -2, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, \
2, -8, 10, -8, 2, 2, 0, 0 ], [ 2, 0, 10, -20, 18, -4, -4, 0, 0 ], [ 0, 0, -8, 18, -20, 6, 4, 0, 0 ], [ 0, 0, 2, -4, 6, -4, 0, 0, 0 ], [ 0, 0, 2, -4, 4, 0,\
 -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ \
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0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -2, 4, -1, 4, -8, 2, 4, 2, 0, 4, 2, 1, -5, -4, 0, -7, 2, -7, 1, 0, -7, -6, 0, -\
7, -1, -6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, \
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [\
 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 2, -4, 2, 0, 0, 1, 0, -2, -3, 0, -3, -1, -2, 0, 0, 1\
, -2, -2, -1, 1, -2 ], [ 2, 0, 0, -1, 0, -4, 8, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 5, 0, 0, -4, 2, 1, 0, 0, 2 ], [ -1, 0, 0, 1, -2, 6, -8, 4, -1, 0, -1, 0, -5\
, -5, 0, -5, 0, -6, 0, 0, 4, -3, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 4, 3, 6, 8, 8, 6, 4, 3, 2, 1 ], rlifts := [ [ -1, 0, 0, 1,\
 -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0 \
] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0,\
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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 -1, 1, 1, -1, -1, -1, -1, -1 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0\
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1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, \
1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, 1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -5, -8, -8, -6, -4, -3, -2, -1 ], [ 8\
, 6, 12, 17, 16, 12, 8, 6, 4, 2 ], [ -8, -6, -12, -16, -15, -12, -8, -6, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 4, 3, 6, 8, 8, 6, 5, 3, 2, 1 ], [ 0\
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, -8, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -3, 0, 7, -1, -1, 1 ], [ -10, 0, 4, 11, -14, 0, 10, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -5, 0, 12\
, -2, 0, 2 ], [ -8, 0, 4, 8, -11, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -4, 0, 10, -2, -1, 2 ], [ -6, 0, 3, 6, -9, 1, 6, 0, 3, 0, 1, 0, -1, -1, 0,\
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 1, 1, 0, 1, 0, -1, -1, 0, -1, 1, -5, 1, 1, -3, -1, 4, -2, -2, 0 ], [ -2, 0, 0, 2, -2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, 2, -1, 0, 0 ],\
 [ -3, 0, 0, 3, -3, 0, 3, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, -3, 1, 0, -2, 0, 2, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1 ], [ -2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, 0, 0 ], [ 2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, 2, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40\
, -33, -34, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -41, 10,\
 -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -24, -34, -48, -41, -48, 12, 0, 0, -5, -1, 3, 3, 0, -4, 2, 10, -4 ], [ 6, 8, 12, 10, 12, -8, -2, -2, 3, 2, -\
2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, 0, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, 0, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0,\
 -2 ], [ -3, -4, -6, -9, -5, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -1, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6\
, 2, 3, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, 3, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, 0, 0, -8, -4, -8\
, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -4, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, 2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ],\
 [ 6, 8, 12, 10, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0,\
 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 4, -20, 6, 2, 0, 0 ], [ 0,\
 0, 0, 0, 6, -4, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, -1, 1,\
 0, -1, 1, -1, 1, -1, -1, 2, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1\
, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -10, 2, 10, 2, 0, 4, 2, 1, -5, -4, 0, -7, 2, -5, 1, 0, -10, -6, 0, -7, -3,\
 -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
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, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4,\
 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, -1,\
 -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 2, -4, 6, -4, 2, -2, 0, -2, 0, -4, -4, 0, -4\
, 0, -6, 0, 0, 2, -3, 1, 2, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, \
0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 6, 4, 8, 12, 10, 7, 4, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, -1, 0, 2, 0\
, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, -1, 1, 0, 1, 2, 1, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 1, -1, 0, -1, 1, -1, 1, -1, -1, 1, 2, 1, 1, 2 ], [ 0, 0, 0, -1, 1, \
0, 1, -1, 1, -1, 1, 1, -1, -2, -1, -1, -2 ], [ 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 ], [ 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0,\
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-1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ \
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1, -1, -1, 0, -1, -1 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1,\
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, "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]\
, [ -6, -4, -8, -12, -9, -7, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 12, 8, 16, 24, 20, 14, 9, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -8, 0, 12, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0\
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, rec( GramQ := [ [ -16, -20, -30, -24, -29, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -38, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ],\
 [ -30, -40, -60, -48, -54, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -53, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -29, -38\
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-4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -11, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -14, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ],\
 [ 0, 0, 0, 0, 7, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -14, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 12, -4, 0, 0, \
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, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -8, 0, 0, 0, -6 ], [ 0, 0, 0, 0, 0, -8, 2, -2, -6 ], [\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1\
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1, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 2, -2, 0, 2, 1, 0, 0, 1, 0, 0, 1, \
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, 3, 2, 0 ], rlifts := [ [ 0, 0, 0, 0, -1, 1, 0, 1, -1, 2, 0, 0, -2, -1, 0, -2, 0, -1, -1, -1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 1, -1, 2, 0, 0,\
 -2, -1, 0, -2, 0, -1, 1, 1, -2, -3, -1, -1, -1, -2 ] ], rootsQ := [ [ 0, 0, 0, -1, 1, 0, 0, -2, 0, -2, 0, -1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 0, 0, 2,\
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1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, \
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0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,\
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, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -8, 6, 0, 6, -4, 12, 0, 0, -12, -6, 0, -12, 0, -6, 0, 0, -6, -9, 1, -4, -3, -5 ], [ 0, 1, 1, 0, -5, 4, 0, 4, -3, 8, \
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2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2,\
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0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -36, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -50, 8, -1, -1, -4, -3, 3, 3, 0\
, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -72, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -67, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, \
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[ 0, -1, 0, -5, -22, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -18, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -\
9, -23, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -23, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -1, -2, -5, -3,\
 -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -7, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -12, 0, -8, -4, -8, -6, -4, -6, -8\
, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 6, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -12, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10\
, 16, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0,\
 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 4, -20, 8, 0, 0, -2 ], [ 0, 0, 0, 0, 8, -\
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1, -1, 0, -1, 4, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [\
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0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 4, -1, 2, -14, 10, 2, 2, 0, 12, 6, 1, -13, -8, 0, -15, 6, -13, 1, 0, -10, -14, -4, -15, -3, -1\
2 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, -1\
, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 0, -4, -2, 0, 0, -2, 0, 0, \
0, -4, 0, 0, 2, 0, 2, 3, 0, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0\
, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0,\
 -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 6, 4, 8, 12, 10, 7, 6, 5, 4, 1 ], rlifts := [ [ 1, 0, 0, 0, -2, 2, 0, \
0, 0, 2, 1, -1, -1, -1, -1, -1, 0, -2, -1, 1, 0, -1, 1, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, -2, 1, 1, -1, -1, -1, -1, 0, -1, 4, 0, -1, -1, 1 ], [ -1, 0,\
 0, 2, -1, -1, 1, 1, 1, 1, 0, 1, -4, 0, 1, 1, -1 ], [ 1, 0, 0, -2, 1, 1, -1, -2, 0, -2, 1, 0, 3, -1, -1, -2, 0 ], [ -1, 0, 0, 2, -1, -1, 1, 2, 0, 2, -1, 0\
, -3, 1, 1, 2, 0 ], [ 1, 0, 0, -2, 1, 1, 1, -2, 0, -2, 1, 0, 2, -1, -3, -2, -1 ], [ -1, 0, 0, 2, -1, -1, -1, 2, 0, 2, -1, 0, -2, 1, 3, 2, 1 ], [ 1, 0, 0, \
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, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0\
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 -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0,\
 -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1",\
 "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -9, -7, -6, -5, -4, -1 ], [ 12, 8, 16, 24, 20, 15, 12, 10, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0\
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1, 2, -7, -14, -4, -15, -4, -10 ], [ 14, 0, 3, 0, -30, 28, 0, 0, 2, 28, 14, 0, -28, -14, 0, -28, 14, -28, 0, 0, -14, -28, -6, -29, -8, -20 ], [ 22, 0, 4, \
1, -48, 44, 0, 0, 4, 44, 22, 0, -44, -22, 0, -44, 22, -44, 0, 0, -22, -44, -9, -46, -11, -31 ], [ 18, 0, 4, 0, -39, 36, 0, 0, 4, 36, 18, 0, -36, -18, 0, -\
36, 18, -36, 0, 0, -18, -36, -7, -38, -10, -25 ], [ 13, 0, 3, 0, -29, 27, 0, 0, 3, 26, 14, 1, -27, -14, 0, -27, 14, -26, 1, 1, -14, -28, -7, -29, -9, -19 \
], [ 10, 0, 2, 0, -22, 20, 1, 0, 2, 20, 10, 0, -20, -10, 0, -20, 10, -20, 0, 0, -10, -20, -4, -21, -6, -14 ], [ 7, 0, 1, 0, -15, 14, 0, 1, 1, 14, 8, 1, -1\
5, -8, 0, -15, 8, -14, 1, 1, -8, -16, -5, -16, -6, -11 ], [ 4, 0, 0, 0, -8, 8, 0, 0, 1, 8, 4, 0, -8, -4, 0, -8, 4, -8, 0, 0, -4, -8, -2, -9, -2, -6 ], [ 1\
, 0, 0, 0, -2, 2, 0, 0, 0, 3, 1, 1, -3, -1, 0, -3, 2, -2, 1, 0, -2, -3, -2, -4, -2, -2 ], [ -2, 0, 0, 0, 4, -4, 0, 0, 0, -4, -1, 0, 4, 2, 0, 4, -2, 4, 0, \
0, 2, 4, 1, 3, 1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, \
0, 0, 0, 0, -2, 0, 0, -1, 0, -1, 1 ], [ -2, 0, 0, 0, 4, -4, 0, 0, 0, -4, 0, 0, 4, 1, 0, 4, -2, 4, 0, 2, 2, 2, 0, 3, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -154, -208, -312, -250, -47, 12, 30, 24, 18, 23, 17, 24, 18, -6, 18, 6, 0 ], \
[ -208, -284, -424, -341, -64, 16, 39, 31, 24, 33, 23, 31, 24, -8, 24, 8, -2 ], [ -312, -424, -636, -510, -96, 24, 60, 48, 36, 48, 36, 48, 36, -12, 36, 12\
, 0 ], [ -250, -341, -510, -412, -77, 20, 45, 37, 26, 38, 27, 36, 26, -10, 28, 10, -2 ], [ -47, -64, -96, -77, -16, 2, 10, 8, 7, 9, 5, 7, 6, -2, 6, 0, 0 ]\
, [ 12, 16, 24, 20, 2, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 30, 39, 60, 45, 10, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 24, 31, 48, 3\
7, 8, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ 18, 24, 36, 26, 7, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ 23, 33, 48, 38, 9, 2, -6, -2, \
-8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 17, 23, 36, 27, 5, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 24, 31, 48, 36, 7, -3, -8, -5, -5, -3, -5, -8,\
 -6, 0, -4, -2, -2 ], [ 18, 24, 36, 26, 6, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ -6, -8, -12, -10, -2, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ \
18, 24, 36, 28, 6, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 0, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, 0, -2, -\
2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0\
, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], \
[ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, -2, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, \
-1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0\
, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -6, 2, 2, 2, 4,\
 -4, 2, 1, -1, -4, 0, -3, 2, -5, 1, 0, -2, -2, -2, -5, -1, -2 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6\
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2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 6, 4, 8, 12, 10, 8, 6, 4, 4, 1 ], rlifts := [ [ 1, 0, 0, 0, -1, 0, 0, 2, -1, 2, 1, 0,\
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, "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, 7, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, 9, 8, -1, -1, -\
4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, 12, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, 12, 10, -5, -3, -9, -7, 2, 1, -4,\
 0, -2, 10, -2 ], [ 7, 9, 12, 12, -22, -1, 8, 8, 5, 9, 2, 2, 2, -6, 5, -4, 2 ], [ 6, 8, 12, 10, -1, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, \
0, -5, 8, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, 8, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, 5, 3, -8, \
-4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, 9, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, 2, -2, -5, -3, -3, -3, -6, -5, -\
4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, 2, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, 2, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0,\
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-2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0,\
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0, 0, 2, -8, 8, -2 ], [ 0, 0, 0, 0, 0, 0, 8, -12, 4 ], [ 0, 0, 0, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, -1, 0, 1, 0, 1\
 ], [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -6, 2, 4, -2, 2, 4, 2, 1, -3, -2, 0, -5, 2, -3, 1, 0, \
-7, -6, -2, -8, 0, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, \
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 -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0,\
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 -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], rlifts := [ [ 0, 0,\
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1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0\
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2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
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0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "\
A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],\
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0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, \
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 1, 0, -1, -2, 0, 2, 1, -1, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, -2, -2, 1, 4, 3, 1, 1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 1, 2, 2, 1, 1, 2 ], [ 0\
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-1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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amQ := [ [ -16, -20, -30, -24, -4, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -4, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40\
, -60, -48, -6, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -9, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -4, -4, -6, -9, -38, \
-3, -15, -12, -10, -15, -5, -7, -8, 9, -10, 2, 0 ], [ 6, 8, 12, 10, -3, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -15, -2, -12, -8, -8,\
 -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -12, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -10, 3, -8, -4, -10, -8, -3, -5, -\
8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -15, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -5, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ],\
 [ 3, 3, 6, 1, -7, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -8, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 9, 2, 2\
, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -10, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 2, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, \
-4, 0 ], [ 0, -2, 0, -2, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ \
0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 8, -2, 0 ], [ 0, 0, 0, 0, 0, 8, -12, 4,\
 0 ], [ 0, 0, 0, 0, 0, -2, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0,\
 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, \
1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -6, 4, -2, 4, 0, 4, 2, 1, -7, -6, 0, -9, 2, -7, 1, 0, -4, -7, -3, -7, -1\
, -7 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0,\
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, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0\
, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1\
, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0\
, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -1, -3 ], [ 0, 0, 0, 0, 0, 2, 0, -6, 4\
, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, -1, -1, -2, 2, 3 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 1, -\
2, 1, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 1, 1, -1, -1, 0, 0, -1 \
] ], rootsQ := [ [ 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, \
-1, 0, -1, 0, 0, 1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ \
0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, \
1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1\
, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 0, 1 ], [ 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 1, 0, -1, -1, 0, -3, -1, 0 ], [ 0, 0, 3, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1 ], [ 0, 0, 4, 1, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2 ], [ 0, 0, 4, 0, -3, 0, 0, 0, 4, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 2 ], [ 0, 0, 3, 0, -3, 1, 0, 0, 3, 0, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, -1, -1, 0, -3, -2, 1 ], [ 0, 0, 2\
, 0, -2, 1, -1, 1, 2, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, -1, -1, 1 ], [ 0, 0, 1, 0, -1, 0, 0, 1, 1, 0, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, -1, -1\
, -1, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, \
1, 0, 1, 0, -1, 0, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1\
, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ \
:= [ [ -16, -20, -30, -24, -28, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -37, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, \
-60, -48, -54, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -48, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -28, -37, -54, -48, -\
82, 7, -14, -12, -13, -17, 0, -2, -6, 8, -9, 12, -2 ], [ 6, 8, 12, 10, 7, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -14, -2, -12, -8, -\
8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -12, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -13, 3, -8, -4, -10, -8, -3, -5,\
 -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -17, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, 0, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ]\
, [ 3, 3, 6, 1, -2, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -6, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 8, 2, \
2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -9, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 12, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0,\
 -4, 0 ], [ 0, -2, 0, -2, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], \
[ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -8, 8, -2, 0, 0 ], [ 0, 0, 0, 0, 8, -12, 4, 0, 0 ], [ 0, 0, 0, 0, -2, 4, -4,\
 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 1, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0,\
 1, -1, 0, 0, 1, 0, 1, 0, 0, -2, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1\
, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -4, -2, 4, 2, 0, 4, 2, 1, -3, -2, 0, -5, 2, -3, 1, 0, -7, -4, -1, -7, \
-1, -7 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -5, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0,\
 -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -\
1, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 0, 4, -2, -1, 0, -1, 0, 1, 1, 0\
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 ], [ -4, -3, -6, -7, -10, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -7, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1,\
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, -2, 0, -2, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2,\
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2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 3, 2, 4, 6, 6, 5, 4, 3, 2, 0 ], rlifts := [ [ 1, 0, -1, \
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0, -1, -1, -1 ] ], rootsQ := [ [ 1, -1, 0, 0, -1, 0, 0, 1, 0, 1, -1, 0, 0, 1, 1, 1, 1 ], [ -1, 1, 0, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, -1, -1, -1, -1 ], [ -\
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0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -\
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"A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, \
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0, 0, -2, 1, -2, 0, 0, -2, -2, 1, -3, 0, -3 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 3, 0, 0, -2, 0, 0, -2, 1, -1, 1, 0, -2, -1, 0, -3, 0, -2 ], [ 0, 0, 0, 0, 0,\
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 0, -1, 1, -1, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, -1, 0, -1, 0, -2, -1, 1, 1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2\
, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2\
, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, -1, 2,\
 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, \
1, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, -1, 1, -1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -2\
4, 3, 0, 0, -3, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, 4, -1, -1, -4, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, 6, 0, 0, -6, -6,\
 -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, 3, -5, -3, -7, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 3, 4, 6, 3, -4, -4, -2, -2, -3, -2, -3, -4, -4, 0, \
-2, -2, 0 ], [ 0, -1, 0, -5, -4, -12, -8, -2, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -2, -8, -8, 0, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3,\
 -4, -6, -7, -2, -2, 0, -8, -6, -4, -1, -1, -4, -2, 0, 2, 0 ], [ -3, -4, -6, -9, -3, -8, -4, -6, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -2,\
 -6, -2, -4, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -3, -5, -3, -1, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -4, -8, -5, -1, -5, -3, \
-5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -4, -8, -4, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, -2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ \
0, 0, 0, -2, -2, -6, -4, 0, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, -2, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, -2, -2, 0, \
0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 2, 4, 0, 0, -2, -2 ], [ 2, 0,\
 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 4, 2, -8, 2, 0, 2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, -2, 0, 2, 0, 2, -4, 0 ], \
[ 0, 0, -2, 0, 2, 0, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 2, -1, 0, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1,\
 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 1, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 2, -6, 2, 2, 2, \
0, 4, -2, 1, -5, -4, 0, -7, 2, -5, 1, 0, -6, -6, 0, -5, -1, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -3, 2, -1, 1, 1\
, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],\
 [ 0, 0, 0, 1, -3, 2, 0, 2, -3, 2, 0, 0, -3, -2, 0, -3, 1, -4, 0, 0, -1, -2, 1, 0, -1, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0\
, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2\
, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 2, 1, 2, 4, 4, 3,\
 2, 1, 0, 0 ], rlifts := [ [ 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -2, 1, 0, -\
1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 0, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1,\
 -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0\
 ], [ 0, 0, 0, 0, 2, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, -1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, -1, 1, 0,\
 0, 0, 0, 0, -1, -1, 0 ], [ 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 1, 0, -1,\
 -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A\
1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 4, 3, 2, 1, 0, 0 ], \
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -4, -3, -3, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 2, 4, 4, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1 ], [ 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, -1, 1, 0, 1, 2, -1, -1, 0, -2, -1, 0 ], [ 0, 0, 3, 0, -2, 0, 0, 0\
, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1 ], [ 0, 0, 4, 1, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2 ], [ 0, 0, 4,\
 0, -3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 2 ], [ 0, 0, 3, 0, -3, 1, 0, 0, 3, 0, -1, 0, -1, 0, -1, -1, 1, 0, 1, 1, -1, 0, 1, -2\
, -2, 2 ], [ 0, 0, 2, 0, -2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1 ], [ 0, 0, 1, 0, -1, 0, 0, 1, 1, 0, -1, 0, -1, 0, -1, -1, 1, \
0, 1, 1, -1, 0, 0, -1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -\
1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), r\
ec( GramQ := [ [ -16, -20, -30, -24, -7, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -13, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -\
30, -40, -60, -48, -18, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -18, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -7, -13, -18\
, -18, -16, 5, -4, -2, -6, 0, 2, -2, -4, -2, -1, 4, -2 ], [ 6, 8, 12, 10, 5, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -4, -2, -12, -8,\
 -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -2, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -6, 3, -8, -4, -10, -8, -3, -5,\
 -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, 0, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], \
[ 3, 3, 6, 1, -2, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -2, 2, 2\
, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -1, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 4, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -\
4, 0 ], [ 0, -2, 0, -2, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ \
0, 2, -8, 2, 4, 0, -4, 2, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 4, 2, -8, 2, 4, -2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, -4, 0, 4, 2, -8, \
4, 2 ], [ 0, 0, 2, 0, -2, 0, 4, -4, 0 ], [ 0, 0, 2, 0, -2, 0, 2, 0, -4 ] ], Sigma := [ [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, -1 ], [ 1, 0\
, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -\
1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 2, 4, -1, 2, -8, 2, 4, 2, 0, 4, 2, 1, -5, -4, 0, -7, 4, -7, 1, 0, -7, -6, -1, -\
8, -2, -7 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, \
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [\
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2, -2, -1, -2, 0, -4 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -2, 0, 1, \
0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 1, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 2, -4, 4,\
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0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 2, 1, 2, 4, 4, 3, 2, 2, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, -1, 0,\
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, rootsQ := [ [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, -1 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, 1 ], [ -1, 0, 0, 1, -1, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, \
1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0,\
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0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0\
, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, \
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 "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 4, 3, 2, 2, 2, 1 ], [ 0, 0, 0\
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0, 0, 1, 0, 0 ], [ -2, -1, -2, -4, -4, -3, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 5, 0, 2, 0, -6, 0, 4, 0, 2, 0, 0, 0, 0, \
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1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 2, -1, 2, 0, -2, -1, -1, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1\
, -1, -2, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -81, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [\
 -81, -544, -106, -154, -139, 32, -32, -22, -42, -44, -5, -9, -22, 2, -16, 32, -6 ], [ -20, -106, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ]\
, [ -30, -154, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -139, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 32\
, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -32, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -\
8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -42, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -44, -3, -6, -7, 2, -6, -2, -8, -12\
, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -\
2, -2 ], [ 0, -22, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -16, 0, 0, -2, -2,\
 -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 32, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, \
0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, -4, 6, -4, -4, 0, 0 ], [ 0, 8, -16, 8, -12, 6, 6, 2, -6 ], [ 2, -4, 8, -8, 8, \
-4, -4, 0, 0 ], [ 0, 6, -12, 8, -16, 8, 6, 2, -6 ], [ 0, -4, 6, -4, 8, -8, -2, 0, 0 ], [ 0, -4, 6, -4, 6, -2, -8, 2, 0 ], [ 0, 0, 2, 0, 2, 0, 2, -4, 4 ], \
[ 0, 0, -6, 0, -6, 0, 0, 4, -12 ] ], Sigma := [ [ -1, 1, -2, 1, -2, 1, 0, -2, 0, -3, 0, 0, 3, -3, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2,\
 -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1,\
 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 6, -18,\
 10, 10, 2, 0, 12, 6, 1, -13, -12, 0, -19, 2, -13, 1, 0, -18, -18, -4, -17, -1, -12 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
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1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0\
, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -\
1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2, 0, 2, -2, 0, 1, 0, -2, 0, 0, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, \
1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ 0, 0, 0, 1, -3, 2, 0, 2, 1, -6, 0, 0, 1, -2, 0, 1, 1, -4, 0, 0, 3, 2, 1, 2, -1, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4,\
 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, \
0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, \
-1, -2, -4 ] ], r := [ 14, 9, 20, 28, 24, 17, 12, 9, 6, 2 ], rlifts := [ [ -1, 2, -2, 1, -2, 2, 2, 0, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, 0, -3, -3, -1,\
 -2, 0, -2 ] ], rootsQ := [ [ -1, 1, -1, 1, -3, 0, 0, -2, -1, -3, 0, 0, 4, -3, -2, -2, 0 ], [ 1, -1, 1, -1, 3, 0, 0, 2, 1, 3, 0, 0, -4, 3, 2, 2, 0 ], [ -1\
, 1, -2, 1, -2, 1, 0, -2, 0, -3, 0, 0, 3, -3, -3, -2, 0 ], [ 1, -1, 2, -1, 2, -1, 0, 2, 0, 3, 0, 0, -3, 3, 3, 2, 0 ], [ -1, 1, 0, 1, -4, 1, 0, -2, 0, -3, \
0, 0, 4, -3, -3, -3, 0 ], [ 1, -1, 0, -1, 4, -1, 0, 2, 0, 3, 0, 0, -4, 3, 3, 3, 0 ], [ -1, 1, -1, 1, -3, 2, 0, -2, 1, -3, 0, 0, 3, -3, -4, -3, 0 ], [ 1, -\
1, 1, -1, 3, -2, 0, 2, -1, 3, 0, 0, -3, 3, 4, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -\
2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, \
0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1,\
 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 28, 19, 40, 56, 48, 34, 24, 18, 12, 4 ], [ -42, -27, -59, -84, -72, -51, -36, -27, -18, -6 ], [ 28, 18, 40, 57, 48, 34, 24, 18, 12, 4 ]\
, [ -42, -27, -60, -84, -71, -51, -36, -27, -18, -6 ], [ 28, 18, 40, 56, 48, 35, 24, 18, 12, 4 ], [ 28, 18, 40, 56, 48, 34, 25, 18, 12, 4 ], [ 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0 ], [ -14, -9, -20, -28, -24, -17, -12, -9, -5, -2 ], [ 28, 18, 40, 56, 48, 34, 24, 18, 12, 5 ] ], thegtilde := [ [ -17, 36, -16, 18, -56\
, 36, 36, 0, 2, 36, 18, 0, -36, -36, 0, -54, 0, -36, 0, 0, -54, -54, -8, -46, 0, -26 ], [ -9, 19, -8, 9, -28, 18, 18, 0, 1, 18, 9, 0, -18, -18, -1, -28, 1\
, -18, 1, 2, -28, -28, -5, -25, -1, -14 ], [ -22, 44, -19, 22, -68, 44, 44, 0, 2, 44, 22, 0, -44, -44, 0, -66, 0, -44, 0, 0, -66, -66, -10, -56, -1, -32 ]\
, [ -34, 68, -30, 35, -106, 68, 68, 0, 4, 68, 34, 0, -68, -68, 0, -102, 0, -68, 0, 0, -102, -102, -15, -87, 0, -49 ], [ -28, 56, -24, 28, -87, 56, 56, 0, \
4, 56, 28, 0, -56, -56, 0, -84, 0, -56, 0, 0, -84, -84, -12, -72, -1, -40 ], [ -19, 38, -16, 19, -60, 39, 38, 0, 3, 38, 19, 0, -39, -38, -1, -58, 1, -38, \
1, 1, -58, -57, -9, -50, -2, -27 ], [ -14, 28, -12, 14, -44, 28, 29, 0, 2, 28, 14, 0, -28, -28, 0, -42, 0, -28, 0, 0, -42, -42, -6, -36, -1, -20 ], [ -11,\
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6 ], [ 2, -4, 2, -2, 6, -4, -4, 0, 0, -4, -1, 0, 4, 4, 0, 6, 0, 4, 0, 0, 6, 6, 1, 4, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
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-2, 0, 4, 5, -2, 6, 0, 4, 0, 2, 6, 6, 1, 5, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -\
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0, 6, 0, 4, 0, 0, 6, 6, 2, 5, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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ramQ := [ [ -16, -60, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -60, -328, -78, -112, -103, 26, -26, -18, -34, -36, -7, -9, -18, 0, -12, 24\
, -6 ], [ -20, -78, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -112, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24,\
 -103, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 26, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -26, -1, 0, -5,\
 -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -34, -4, -6, -9, 3, -8, -4, -\
10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -36, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4,\
 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0\
, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 24, 8, 12, 10, -4, 0, 0, 2, 2\
, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 16, -\
4, 4, 0, -4, -4, 2 ], [ 0, 16, -52, 16, -12, 0, 12, 12, -6 ], [ 2, -4, 16, -8, 6, 0, -4, -4, 2 ], [ 0, 4, -12, 6, -8, 2, 4, 4, -2 ], [ 0, 0, 0, 0, 2, -4, \
2, 0, 0 ], [ 0, -4, 12, -4, 4, 2, -8, -2, 2 ], [ 0, -4, 12, -4, 4, 0, -2, -8, 4 ], [ 0, 2, -6, 2, -2, 0, 2, 4, -4 ] ], Sigma := [ [ -1, 1, -1, 1, -2, 1, 0\
, -2, 0, -3, 0, 0, 3, -3, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1,\
 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 6, -14, 2, 10, 10, -4, 12, 6, 1, -13, -12, 0, -19, 2, -13, 1, 0, -18, -14, -2,\
 -15, -3, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -12, 2, 0, 0, 0, -\
1, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6\
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1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1,\
 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 6, -12, 2, 0, 6, -2, 0, 4, -2, 0, \
0, 0, 4, 4, -2, 1, 2, 4 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -\
1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1\
, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 14, 9, 20, 28, 24, 18, 12, 8, 6, 2 ], rlifts := [ \
[ -1, 2, -1, 1, -2, 0, 2, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, 0, -3, -2, 0, -2, -1, -3 ] ], rootsQ := [ [ -1, 1, -1, 1, -2, 1, 0, -2, -1, -2, -1, -1,\
 4, -2, -1, -1, 1 ], [ 1, -1, 1, -1, 2, -1, 0, 2, 1, 2, 1, 1, -4, 2, 1, 1, -1 ], [ -1, 1, -1, 1, -2, 1, 0, -2, 0, -3, 0, 0, 3, -3, -2, -2, 0 ], [ 1, -1, 1\
, -1, 2, -1, 0, 2, 0, 3, 0, 0, -3, 3, 2, 2, 0 ], [ -1, 1, -1, 1, -2, 1, 0, -2, 0, -3, 0, 0, 3, -3, -2, -2, -1 ], [ 1, -1, 1, -1, 2, -1, 0, 2, 0, 3, 0, 0, \
-3, 3, 2, 2, 1 ], [ -1, 1, -1, 1, -2, 1, 0, -2, 1, -4, 1, 1, 2, -4, -3, -3, -2 ], [ 1, -1, 1, -1, 2, -1, 0, 2, -1, 4, -1, -1, -2, 4, 3, 3, 2 ], [ 0, 0, 0,\
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 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, \
0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, \
1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] \
], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 28, 19, 40, 56, 48, 36, 24, 16, 12, 4 ], [ -4\
2, -27, -59, -84, -72, -54, -36, -24, -18, -6 ], [ 28, 18, 40, 57, 48, 36, 24, 16, 12, 4 ], [ -28, -18, -40, -56, -47, -36, -24, -16, -12, -4 ], [ 0, 0, 0\
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11, -4 ], [ 28, 18, 40, 56, 48, 36, 24, 16, 12, 5 ] ], thegtilde := [ [ -17, 36, -16, 18, -38, 0, 36, 36, -16, 36, 18, 0, -36, -36, 0, -54, 0, -36, 0, 0, \
-54, -36, 1, -37, -9, -53 ], [ -9, 19, -8, 9, -19, 0, 18, 18, -8, 18, 10, 0, -18, -19, -1, -27, 0, -18, 0, 2, -27, -19, 0, -20, -4, -27 ], [ -22, 44, -19,\
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, -68, 0, -102, 0, -68, 0, 0, -102, -68, 2, -70, -17, -100 ], [ -28, 56, -24, 28, -59, 0, 56, 56, -24, 56, 28, 0, -56, -56, 0, -84, 0, -56, 0, 0, -84, -56\
, 2, -58, -15, -82 ], [ -20, 40, -17, 20, -43, 1, 40, 40, -17, 40, 21, 0, -41, -41, 0, -61, 1, -40, 1, 1, -61, -41, 0, -43, -12, -59 ], [ -14, 28, -12, 14\
, -30, 0, 29, 28, -12, 28, 14, 0, -28, -28, 0, -42, 0, -28, 0, 0, -42, -28, 1, -29, -8, -41 ], [ -10, 20, -9, 10, -21, 0, 20, 21, -9, 20, 11, 0, -21, -21,\
 0, -31, 1, -20, 1, 1, -31, -21, -1, -22, -7, -30 ], [ -6, 12, -6, 6, -12, 0, 12, 12, -5, 12, 6, 0, -12, -12, 0, -18, 0, -12, 0, 0, -18, -12, 0, -13, -3, \
-18 ], [ -4, 8, -4, 4, -8, 0, 8, 8, -4, 9, 4, 0, -9, -8, 0, -13, 1, -8, 1, 0, -13, -8, -1, -10, -3, -12 ], [ 2, -4, 2, -2, 4, 0, -4, -4, 2, -4, -1, 0, 4, \
4, 0, 6, 0, 4, 0, 0, 6, 4, 0, 3, 1, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ -2, 4, -2, 2, -4, 0, 4, 4, -\
2, 4, 2, 0, -5, -4, 2, -8, 2, -4, 2, -2, -8, -4, -2, -6, -4, -6 ], [ 2, -4, 2, -2, 4, 0, -4, -4, 2, -4, 0, 0, 4, 3, 0, 6, 0, 4, 0, 2, 6, 2, -1, 3, 1, 5 ],\
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, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, -4, 2, -2, 4, 0, -4, -4, 2, -4, -2, 0, 4, 4, 0, 6, 0, 4, 0, 0, 6, 4, 1, 4, 1, 6 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -2, 4\
, -2, 2, -4, 0, 4, 4, -2, 4, 2, 0, -4, -4, 0, -6, 0, -4, 0, 0, -6, -4, 0, -4, -1, -5 ] ] ), rec( GramQ := [ [ -16, -56, -20, -30, -24, 6, 0, 0, -3, -4, 2,\
 3, 0, 0, 0, 6, 0 ], [ -56, -260, -72, -106, -95, 22, -22, -14, -30, -34, -3, -5, -16, 4, -12, 22, -2 ], [ -20, -72, -28, -40, -33, 8, -1, -1, -4, -3, 3, \
3, 0, 0, 0, 8, -2 ], [ -30, -106, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -95, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2,\
 10, -2 ], [ 6, 22, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -22, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -14\
, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -30, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -34, -3, -6, -7, \
2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5\
, -8, -6, 0, -4, -2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, \
-12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 22, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2,\
 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 16, -4, 2, -2, 0, 0, 0 ], [ 0, 16, -52, 16, -6, 6, 0, 0, 0 ], [\
 2, -4, 16, -8, 4, -2, 0, 0, 0 ], [ 0, 2, -6, 4, -4, 2, 0, 0, 0 ], [ 0, -2, 6, -2, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2\
, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 1, -1, 1, -2, 1, 0, -1, 0, -2, 0, 0, 2, -1, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1\
, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0,\
 -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5,\
 6, -14, 10, 2, 2, 4, 4, 6, 1, -9, -12, 0, -15, 2, -13, 1, 0, -10, -14, -6, -15, 1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, -10, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0,\
 -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -\
1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, \
0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 3, 0, 1\
, 2, -1, 3 ], [ -4, 4, -2, 2, 6, -12, 6, 0, 0, 0, 2, 0, 6, 4, 0, 4, -2, 6, 0, 0, -5, 4, 1, -2, 2, -5 ], [ 2, 0, 0, -1, -2, 4, -2, 0, 0, 0, 0, 0, -2, -2, 0\
, -2, 0, -1, 0, 0, 1, -2, -2, 0, 0, 1 ], [ -1, 0, 0, 1, 0, -2, 2, 0, -1, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2,\
 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, \
0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, \
2, 0, 1, 0, 2 ] ], r := [ 8, 5, 12, 16, 14, 10, 8, 6, 4, 2 ], rlifts := [ [ -1, 2, -1, 1, -2, 2, 0, 0, 1, 0, 1, 0, -1, -2, 0, -2, 0, -2, 0, 0, -1, -2, -1,\
 -2, 0, -1 ] ], rootsQ := [ [ -1, 1, -1, 1, -2, 1, 0, -1, -1, -1, -1, -1, 3, 0, -1, -1, 2 ], [ 1, -1, 1, -1, 2, -1, 0, 1, 1, 1, 1, 1, -3, 0, 1, 1, -2 ], [\
 -1, 1, -1, 1, -2, 1, 0, -1, 0, -2, 0, 0, 2, -1, -2, -2, 1 ], [ 1, -1, 1, -1, 2, -1, 0, 1, 0, 2, 0, 0, -2, 1, 2, 2, -1 ], [ -1, 1, -1, 1, -2, 1, 0, -1, 0,\
 -2, 0, 0, 2, -1, -2, -2, 0 ], [ 1, -1, 1, -1, 2, -1, 0, 1, 0, 2, 0, 0, -2, 1, 2, 2, 0 ], [ -1, 1, -1, 1, -2, 1, 0, -1, 1, -3, 1, 1, 1, -2, -3, -3, -1 ], \
[ 1, -1, 1, -1, 2, -1, 0, 1, -1, 3, -1, -1, -1, 2, 3, 3, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1,\
 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0\
, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, \
1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [\
 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 11, 24, 32, 28, 20, 16, 12, 8, 4 ], [ -24, -15, -35, -48, -42, -30, -24, -18, -12, -6 ], [ 16, 10, 24, 33, 28, 20, 16, 12, \
8, 4 ], [ -16, -10, -24, -32, -27, -20, -16, -12, -8, -4 ], [ 16, 10, 24, 32, 28, 21, 16, 12, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -11, 24, -10, 12, -26, 24, 0, 0, 14, 0, 12, 0, -12,\
 -24, 0, -24, 0, -24, 0, 0, -12, -24, -11, -25, 6, -11 ], [ -5, 11, -4, 5, -11, 10, 0, 0, 6, 0, 6, 0, -5, -11, -1, -10, 0, -10, 0, 2, -5, -11, -5, -12, 3,\
 -5 ], [ -14, 28, -11, 14, -30, 28, 0, 0, 16, 0, 14, 0, -14, -28, 0, -28, 0, -28, 0, 0, -14, -28, -13, -29, 6, -13 ], [ -22, 44, -18, 23, -48, 44, 0, 0, 2\
6, 0, 22, 0, -22, -44, 0, -44, 0, -44, 0, 0, -22, -44, -20, -46, 11, -20 ], [ -18, 36, -14, 18, -39, 36, 0, 0, 22, 0, 18, 0, -18, -36, 0, -36, 0, -36, 0, \
0, -18, -36, -16, -38, 8, -16 ], [ -12, 24, -9, 12, -27, 25, 0, 0, 15, 0, 13, 0, -13, -25, 0, -25, 1, -24, 1, 1, -13, -25, -12, -27, 4, -11 ], [ -10, 20, \
-8, 10, -22, 20, 1, 0, 12, 0, 10, 0, -10, -20, 0, -20, 0, -20, 0, 0, -10, -20, -9, -21, 4, -9 ], [ -8, 16, -7, 8, -17, 16, 0, 1, 9, 0, 9, 0, -9, -17, 0, -\
17, 1, -16, 1, 1, -9, -17, -9, -18, 2, -8 ], [ -4, 8, -4, 4, -8, 8, 0, 0, 5, 0, 4, 0, -4, -8, 0, -8, 0, -8, 0, 0, -4, -8, -4, -9, 2, -4 ], [ -4, 8, -4, 4,\
 -8, 8, 0, 0, 4, 1, 4, 0, -5, -8, 0, -9, 1, -8, 1, 0, -5, -8, -5, -10, 1, -4 ], [ 2, -4, 2, -2, 4, -4, 0, 0, -2, 0, -1, 0, 2, 4, 0, 4, 0, 4, 0, 0, 2, 4, 2\
, 3, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ -2, 4, -2, 2, -4, 4, 0, 0, 2, 0, 2, 0, -3, -4, 2, -6, 2\
, -4, 2, -2, -4, -4, -4, -6, -2, -2 ], [ 2, -4, 2, -2, 4, -4, 0, 0, -2, 0, 0, 0, 2, 3, 0, 4, 0, 4, 0, 2, 2, 2, 1, 3, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 2, -4, 2, -2, 4, -4, 0, 0, -2, 0, -2, 0, 2, 4, 0, 4, 0, 4, 0, 0, 2, 4, 3, 4, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -2, 4, -2, 2, -4, 4, 0, 0, 2, 0, 2\
, 0, -2, -4, 0, -4, 0, -4, 0, 0, -2, -4, -2, -4, 1, -1 ] ] ), rec( GramQ := [ [ -16, -72, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -72, -6\
32, -94, -136, -129, 28, -48, -36, -52, -58, -11, -19, -30, 10, -26, 30, -6 ], [ -20, -94, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30\
, -136, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -129, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 28, 8, 12\
, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -48, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -36, -1, 0, -3, -2, -8, -8, \
-4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -52, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -58, -3, -6, -7, 2, -6, -2, -8, -12, -3, -\
3, -6, 2, -4, 2, 2 ], [ 2, -11, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -19, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2\
 ], [ 0, -30, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 10, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -26, 0, 0, -2, -2, -6,\
 -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0\
, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -12, 4, -8, -4, -8, 2, -12, 4 ], [ 0, 4, -24, 4, -4, 0, 2, -4, 0 ], [ 2, -8, 4, -12, -2, \
-8, 2, -12, 4 ], [ 0, -4, -4, -2, -8, -2, 2, -8, 2 ], [ 0, -8, 0, -8, -2, -12, 4, -12, 4 ], [ 0, 2, 2, 2, 2, 4, -4, 4, 0 ], [ 0, -12, -4, -12, -8, -12, 4,\
 -20, 6 ], [ 0, 4, 0, 4, 2, 4, 0, 6, -4 ] ], Sigma := [ [ 0, 1, -1, 1, -3, 2, 0, -4, 0, -5, 1, 0, 5, -3, -4, -4, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1\
, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0,\
 -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, \
6, -18, 10, 2, 10, -4, 20, 10, 1, -21, -16, 0, -27, 6, -21, 1, 0, -18, -22, -6, -23, -3, -26 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 2, -14, 4, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, -3, 0, 0, -8 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0,\
 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
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 [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 4, 0, 2, 0, 2, 0, 0, -1, \
0, 2, 0, 0, 2 ], [ -4, 4, -2, 2, 0, 0, 2, -4, 4, -4, 2, 0, 4, 0, 0, 2, -2, 2, 0, 0, -1, 0, -2, -2, 3, 2 ], [ 2, 0, 0, -1, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0\
, 0, 0, 3, 0, 0, -3, -2, -1, -2, 1, 0 ], [ -1, 0, 0, 1, -2, 2, 2, -4, 1, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, 1, 3 ], [ 0, 0, 0, 0, 2, -4, 4, -\
4, 0, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ \
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, 0, 0, -1, -1 ] ], r := [ 14, 9, 20, 28, 24, 18, 14, 10, 8, 2 ], rlifts := [ [ 0, 2, -1, 1, -3, 2, 0, 2, -1, 4, 2, 0, -4, -3, 0, -5, 1, -4, 0, 0, -3, -4,\
 -1, -4, -1, -5 ] ], rootsQ := [ [ 0, 1, -1, 1, -3, 2, 0, -4, -1, -4, 0, -1, 6, -2, -3, -3, 1 ], [ 0, -1, 1, -1, 3, -2, 0, 4, 1, 4, 0, 1, -6, 2, 3, 3, -1 \
], [ 0, 1, -1, 1, -3, 2, 0, -4, 0, -5, 1, 0, 5, -3, -4, -4, 0 ], [ 0, -1, 1, -1, 3, -2, 0, 4, 0, 5, -1, 0, -5, 3, 4, 4, 0 ], [ 0, 1, -1, 1, -3, 2, 0, -4, \
0, -5, 1, 0, 5, -3, -4, -4, -1 ], [ 0, -1, 1, -1, 3, -2, 0, 4, 0, 5, -1, 0, -5, 3, 4, 4, 1 ], [ 0, 1, -1, 1, -3, 2, 0, -4, 1, -6, 2, 1, 4, -4, -5, -5, -2 \
], [ 0, -1, 1, -1, 3, -2, 0, 4, -1, 6, -2, -1, -4, 4, 5, 5, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, \
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1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ]\
, [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0\
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20, 16, 4 ], [ -28, -18, -40, -56, -47, -36, -28, -20, -16, -4 ], [ 28, 18, 40, 56, 48, 37, 28, 20, 16, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 28, 18, 4\
0, 56, 48, 36, 28, 21, 16, 4 ], [ -56, -36, -80, -112, -96, -72, -56, -40, -31, -8 ], [ 56, 36, 80, 112, 96, 72, 56, 40, 32, 9 ] ], thegtilde := [ [ 1, 44\
, -20, 22, -68, 44, 0, 44, -20, 88, 44, 0, -88, -66, 0, -110, 22, -88, 0, 0, -66, -88, -21, -89, -11, -109 ], [ 0, 23, -10, 11, -34, 22, 0, 22, -10, 44, 2\
3, 0, -44, -34, -1, -55, 11, -44, 0, 2, -33, -45, -11, -46, -5, -55 ], [ 0, 56, -25, 28, -86, 56, 0, 56, -26, 112, 56, 0, -112, -84, 0, -140, 28, -112, 0,\
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, -218 ], [ 0, 72, -32, 36, -111, 72, 0, 72, -32, 144, 72, 0, -144, -108, 0, -180, 36, -144, 0, 0, -108, -144, -34, -146, -19, -178 ], [ 0, 52, -23, 26, -\
81, 53, 0, 52, -23, 104, 53, 0, -105, -79, 0, -131, 27, -104, 1, 1, -79, -105, -26, -107, -15, -129 ], [ 0, 40, -18, 20, -62, 40, 1, 40, -18, 80, 40, 0, -\
80, -60, 0, -100, 20, -80, 0, 0, -60, -80, -19, -81, -11, -99 ], [ 0, 28, -13, 14, -43, 28, 0, 29, -13, 56, 29, 0, -57, -43, 0, -71, 15, -56, 1, 1, -43, -\
57, -15, -58, -9, -70 ], [ 0, 16, -8, 8, -24, 16, 0, 16, -7, 32, 16, 0, -32, -24, 0, -40, 8, -32, 0, 0, -24, -32, -8, -33, -4, -40 ], [ 0, 8, -4, 4, -12, \
8, 0, 8, -4, 17, 8, 0, -17, -12, 0, -21, 5, -16, 1, 0, -13, -16, -5, -18, -3, -20 ], [ 0, -8, 4, -4, 12, -8, 0, -8, 4, -16, -7, 0, 16, 12, 0, 20, -4, 16, \
0, 0, 12, 16, 4, 15, 2, 20 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 4, -2, 2, -6, 4, 0, 4, -2, 8, 4, 0, \
-9, -6, 2, -12, 4, -8, 2, -2, -8, -8, -4, -10, -4, -10 ], [ 0, -8, 4, -4, 12, -8, 0, -8, 4, -16, -6, 0, 16, 11, 0, 20, -4, 16, 0, 2, 12, 14, 3, 15, 2, 19 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 2, 0, 0,\
 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, -2, 8, 4, 0, -8, -6, 0, -10\
, 2, -7, 0, 0, -6, -8, -2, -8, -1, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, -2, 8, 4, 0, -8, -6, 0, -10, 2, -8, 0, 0, -6, -8, -2, -8, -1, -9 ] ] ), rec( GramQ := [ [ -16, -35, -20, -30, -24\
, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -35, -120, -44, -64, -59, 16, -16, -10, -22, -26, -5, -5, -12, 2, -8, 14, -2 ], [ -20, -44, -28, -40, -33, 8, \
-1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -64, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -59, -33, -48, -42, 10, -5, -3, -9, -7\
, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 16, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -16, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6,\
 0, -2 ], [ 0, -10, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -22, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4,\
 -26, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, \
-8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -12, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4\
, 2, 0, 0 ], [ 0, -8, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, \
0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 26, -16, 8, 0, 0, -12, 4 ], [ 0, 26, -40, 26,\
 -12, 0, 0, 18, -6 ], [ 2, -16, 26, -20, 10, 0, 0, -12, 4 ], [ 0, 8, -12, 10, -8, 2, 0, 6, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2\
, 0 ], [ 0, -12, 18, -12, 6, 0, 2, -12, 4 ], [ 0, 4, -6, 4, -2, 0, 0, 4, -4 ] ], Sigma := [ [ -1, 1, -2, 1, 0, 1, 0, -1, 0, -2, 0, 0, 1, -1, -1, -1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, \
1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1\
, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0,\
 0, 0 ] ], adjweyl := [ -4, 12, -5, 6, -10, 2, 2, 10, 0, 4, 6, 1, -9, -12, 0, -15, 2, -13, 1, 0, -10, -10, -4, -13, -1, -16 ], embQ := [ [ 1, 0, 0, 0, 0, \
0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -4 ], [ \
0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 2, -4, 2, 0, -2, 0, 0, 4, -4, 4, 2, 0\
, -4, 0, 0, -2, 2, -4, 0, 0, 0, 0, 2, 0, -3, -4 ], [ -5, 2, -1, 1, 3, 0, 0, -6, 6, -6, -2, 0, 6, 2, 0, 5, -4, 6, 0, 0, 2, 2, -1, 2, 4, 8 ], [ 4, 0, 0, -1,\
 -2, 0, 0, 4, -4, 4, 2, 0, -4, -2, 0, -4, 2, -3, 0, 0, -2, -2, -1, -2, -2, -6 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0,\
 1, 2, 1, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, \
0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 2, 0, 0, 0, -2, 0, 2, 0, -2, 4, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, -3, -2, 0, -3, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 8, 5, 12, 16, 14, 11, 8, 5, 4, 2 ], rlifts := [ [ -1, 2, -2, 1, 0, 0, 0, 2, -1, 0, 1, 0,\
 -1, -2, 0, -2, 0, -2, 0, 0, -1, -1, -1, -1, 0, -3 ] ], rootsQ := [ [ -1, 1, -1, 1, -1, 0, 0, -1, -1, -2, 0, 0, 2, -1, 0, -1, 0 ], [ 1, -1, 1, -1, 1, 0, 0\
, 1, 1, 2, 0, 0, -2, 1, 0, 1, 0 ], [ -1, 1, -2, 1, 0, 1, 0, -1, 0, -2, 0, 0, 1, -1, -1, -1, 0 ], [ 1, -1, 2, -1, 0, -1, 0, 1, 0, 2, 0, 0, -1, 1, 1, 1, 0 ]\
, [ -1, 1, 0, 1, -2, 1, 0, -1, 0, -2, 0, 0, 2, -1, -1, -2, 0 ], [ 1, -1, 0, -1, 2, -1, 0, 1, 0, 2, 0, 0, -2, 1, 1, 2, 0 ], [ -1, 1, -1, 1, -1, 2, 0, -1, 1\
, -2, 0, 0, 1, -1, -2, -2, 0 ], [ 1, -1, 1, -1, 1, -2, 0, 1, -1, 2, 0, 0, -1, 1, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1\
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0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0\
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", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 11, 24, 32, 28, 22, 16, 10, 8, 4 ], [ -24, -15, -35, -48, -42, -33, -24, -15, -12, -6 ], [ 16\
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, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -29, -112, -35, -52, -50, 13, -18, -10, -24, -26, -8, -10, -16, -2, -9, 10, 0 ], [ -20, -35, -28, -40, -33, 8, -1, -1, -4, \
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2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, -4, 2, 0, -2, 0, 0 ], [ 0, 8, -16, 8, -6, 0, 0, 2, -6 \
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2, 0, 4, -4, 4 ], [ 0, 0, -6, 0, -6, 0, -6, 4, -12 ] ], Sigma := [ [ -1, 1, -1, 1, -1, 1, 0, -1, 0, -2, 0, -1, 2, -2, -1, -2, 1 ], [ -1, 1, -1, 1, -1, 1, \
0, -1, 0, -2, 0, 1, 1, -3, -3, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -\
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2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 8, 5, 12, 16, 14, 11, 8, 6, 4, 1 ], rlifts := [ [ -1, 2,\
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, -2, -1, 0, -2, 1, -2 ] ], rootsQ := [ [ -1, 1, -1, 1, -1, 1, 0, -1, 0, -2, 0, -1, 2, -2, -1, -2, 1 ], [ 1, -1, 1, -1, 1, -1, 0, 1, 0, 2, 0, 1, -2, 2, 1,\
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 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0,\
 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstyp\
eQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 11, 24, 32, 28, 22, 16, 12, 8, 2 ]\
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 1, 13, 0, 3, 26, 14, 0, -14, -14, 0, -27, 1, -13, 2, 1, -34, -28, -7, -36, 4, -32 ], [ -10, 20, -8, 10, -12, 0, 11, 0, 2, 20, 10, 0, -10, -10, 0, -20, 0,\
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1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, -1, -1, -1 ], [ 2, -4, 2\
, -2, 2, 0, -2, 0, 0, -4, -2, 0, 2, 2, 0, 4, 0, 2, 0, 0, 5, 4, 2, 5, -1, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -2, 4, -2, 2, -2, 0, 2, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -2, 0\
, 0, -5, -4, -1, -5, 1, -4 ] ] ), rec( GramQ := [ [ -16, -43, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -43, -164, -56, -82, -73, 20, -14, \
-8, -23, -23, -3, -5, -12, -4, -6, 16, -2 ], [ -20, -56, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -82, -40, -60, -48, 12, 0, 0, -6\
, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -73, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 20, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2\
, -2, -4, 0 ], [ 0, -14, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -8, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [\
 -3, -23, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -23, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, \
2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -12, 0, 0, -4, 0, -8, -4, -8, \
-6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -6, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], \
[ 6, 16, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, \
2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, 0, 0, 0, -4, 0, 0 ], [ 0, 6, -8, 2, 0, 0, 4, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, \
0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 4, 0, 0, 2, -8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 1, -1, 0, -\
1, 1, 0, -1, 1, -2, 0, 0, 1, -3, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1,\
 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 2, -10, 2, 10, 2, 0, 12, 6, 1, -9, -8, 0, -15, 2, -5, 1, 0, -18, -14, -6,\
 -17, -1, -14 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -9, 2, 0, 0, 0, 0,\
 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,\
 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0\
 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, \
0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, \
-1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, \
2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [\
 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 10, 6, 14, 20, 16, 12, 8, 6, 4, 1 ], rlifts := [ [ 0, 2\
, -1, 0, -1, 0, 2, 0, 0, 2, 1, 0, -1, -1, 1, -2, 0, 0, 0, -1, -3, -2, -1, -2, 0, -2 ] ], rootsQ := [ [ 0, 1, -1, 0, -1, 1, 0, -1, 0, -2, 0, 0, 2, -3, -2, \
-2, 0 ], [ 0, -1, 1, 0, 1, -1, 0, 1, 0, 2, 0, 0, -2, 3, 2, 2, 0 ], [ 0, 1, -1, 0, -1, 1, 0, -1, 1, -2, 0, 0, 1, -3, -2, -2, 0 ], [ 0, -1, 1, 0, 1, -1, 0, \
1, -1, 2, 0, 0, -1, 3, 2, 2, 0 ], [ 0, 1, -1, 0, -1, 1, 0, -1, -1, -2, 0, 0, 3, -3, -2, -3, 0 ], [ 0, -1, 1, 0, 1, -1, 0, 1, 1, 2, 0, 0, -3, 3, 2, 3, 0 ],\
 [ 0, 1, -1, 0, -1, 1, 0, -1, 0, -2, 0, 0, 2, -3, -2, -3, 0 ], [ 0, -1, 1, 0, 1, -1, 0, 1, 0, 2, 0, 0, -2, 3, 2, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1,\
 -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1,\
 -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], \
[ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0,\
 -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1"\
, "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 32, 24, 16, 12, 8, 2 ], [ -20, -12, -27, -40, -32, -\
24, -16, -12, -8, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 20, 12, 28, 40, 32, 24, 17\
, 12, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -10, -6, -14, -20, -16, -12, -8, -6, -3, -1 ], [ 20, 12, 28, 40, 32, 24, 16, 12, 8, 3 ] ], thegtilde := \
[ [ 1, 24, -10, 0, -14, 0, 24, 0, 2, 24, 12, 0, -12, -12, 0, -24, 0, 0, 0, 0, -36, -24, -11, -31, 0, -23 ], [ 0, 13, -5, 0, -7, 0, 12, 0, 1, 12, 7, 0, -6,\
 -7, 0, -13, 1, 0, 1, 2, -19, -14, -7, -18, -1, -13 ], [ 0, 32, -13, 0, -18, 0, 32, 0, 2, 32, 16, 0, -16, -16, 0, -32, 0, 0, 0, 0, -48, -32, -15, -41, -1,\
 -31 ], [ 0, 48, -20, 1, -28, 0, 48, 0, 4, 48, 24, 0, -24, -24, 0, -48, 0, 0, 0, 0, -72, -48, -22, -62, 0, -46 ], [ 0, 40, -16, 0, -23, 0, 40, 0, 4, 40, 2\
0, 0, -20, -20, 0, -40, 0, 0, 0, 0, -60, -40, -18, -52, -1, -38 ], [ 0, 28, -11, 0, -17, 1, 28, 0, 3, 28, 15, 0, -15, -15, 0, -29, 1, 0, 1, 1, -43, -29, -\
14, -39, -2, -27 ], [ 0, 20, -8, 0, -12, 0, 21, 0, 2, 20, 10, 0, -10, -10, 0, -20, 0, 0, 0, 0, -30, -20, -9, -26, -1, -19 ], [ 0, 12, -5, 0, -7, 0, 12, 1,\
 1, 12, 7, 0, -7, -7, 0, -13, 1, 0, 1, 1, -19, -13, -7, -18, -2, -12 ], [ 0, 8, -4, 0, -4, 0, 8, 0, 1, 8, 4, 0, -4, -4, 0, -8, 0, 0, 0, 0, -12, -8, -4, -1\
0, 0, -8 ], [ 0, 2, -1, 0, -1, 0, 2, 0, 0, 3, 1, 0, -2, -1, 0, -3, 1, 0, 1, 0, -4, -2, -2, -4, -1, -2 ], [ 0, -4, 2, 0, 2, 0, -4, 0, 0, -4, -1, 0, 2, 2, 0\
, 4, 0, 0, 0, 0, 6, 4, 2, 5, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 2, 0, -4, 0, 0, -4, 0, 0, 2, 1, 0, 4, 0, 0, 0, 2, 6, 2, 1, 3, 0, 3 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -3, -2, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -18, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -18, -36, -2\
2, -34, -29, 10, -4, 0, -11, -13, -1, -1, -6, -2, -2, 6, 2 ], [ -20, -22, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -34, -40, -60, \
-48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -29, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 10, 8, 12, 10, -8, -2, -2, 3\
, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -4, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, 0, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2,\
 -4, 0, -2 ], [ -3, -11, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -13, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], \
[ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -1, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -6, 0, 0, -4, 0\
, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -2, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2\
, -4, 0, 0 ], [ 6, 6, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ \
[ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, -4, -4, 0, 0, 0, 0 ], [ 0, 18, -20, 6, 4, 0, 0, 0, 0 ], [ 2, -4, 6, -4, 0, 0, 0, 0, 0 ], [ 0, -4, 4, 0, -4, \
2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [\
 [ 0, 1, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, 2, 0, 0, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1,\
 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 2, -6, 2, 2, 2, 4, 4, 6, 1, -5, -8, 0, -11, 2, -5, 1, 0, \
-10, -10, -8, -15, 1, -12 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, -3, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0\
, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0\
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, [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, \
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1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 12, 16, 12, 10, 8, 6, 4, 2 ], [ -8, -4, -11, -16, -12, -10, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -40, -20, -30, -24, 6, 0, 0, -3, \
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, 3, 0, 0, 0, 8, -2 ], [ -30, -79, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -70, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2\
, 10, -2 ], [ 6, 22, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -8, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -2,\
 -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -20, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -16, -3, -6, -7, 2\
, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -1, 3, 6, 1, -3, -8, -5, -5, -3, -5, \
-8, -6, 0, -4, -2, -2 ], [ 0, -10, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -\
2, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 16, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0\
, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, -8, 8, 0, -16, 4, 4 ], [ 0, 18, -20, 10, -8, 0, 16, -4, -4 ]\
, [ 2, -8, 10, -8, 6, 0, -8, 2, 2 ], [ 0, 8, -8, 6, -8, 2, 8, -2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -16, 16, -8, 8, 2, -20, 6, 4 ], [ 0, 4, -4, 2\
, -2, 0, 6, -4, 0 ], [ 0, 4, -4, 2, -2, 0, 4, 0, -4 ] ], Sigma := [ [ 1, 1, -2, 1, -2, 1, 0, 0, 0, -1, 0, 0, 1, -2, -1, -2, 1 ], [ -1, 1, 0, 0, -1, 1, 0, \
0, 0, -1, 1, 0, 0, -2, -1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 \
], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 3, -9, 2, 6, 2, 1, 4, 4, 1, -5, -6, 0, -9, 3, -7, 1, 0, -10, -8, -3, -11, -1, -9 ],\
 embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
1, 0, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0\
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 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0\
, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 2, -4, 2, \
0, -2, 0, 0, 4, -4, 4, 2, 0, -4, 0, 0, -2, 2, -4, 0, 0, 0, 0, 2, 0, -3, -4 ], [ -4, 2, -1, 1, 2, 0, 0, -4, 4, -4, -1, 0, 4, 1, 0, 3, -3, 4, 0, 0, 1, 1, -1\
, 1, 3, 5 ], [ 3, 0, 0, -1, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, -1, -1, -1, -1, -3 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -2, 0, 1, \
0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 1, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 2, 0, 0, 0, -2, 2, -4, 6,\
 -4, 4, 2, 0, -6, -4, 0, -6, 2, -6, 0, 0, 0, -3, -1, -2, -2, -7 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 7, 4, 10, 14, 12, 9, 6, 5, 4, 2 ], rlifts := [ [ 1, 2, -2, 1, -2\
, 0, 2, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, -2, -1, 0, -2, 1, -2 ], [ -1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 1, 0, 0, -1, 0, -1, 1, -1, 0, 0, -2, -1, -1, -\
2, -1, -1 ] ], rootsQ := [ [ 1, 1, -2, 1, -2, 1, 0, 0, 0, -1, 0, 0, 1, -2, -1, -2, 1 ], [ -1, -1, 2, -1, 2, -1, 0, 0, 0, 1, 0, 0, -1, 2, 1, 2, -1 ], [ -1,\
 1, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, -2, -1, -2, -1 ], [ 1, -1, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 2, 1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -\
1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0\
, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0\
, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0\
, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 14, 9, 20, 28, 24, 18, 12, 10, 8, 4 ], [ -14, -8, -19, -\
28, -24, -18, -12, -10, -8, -4 ], [ 7, 4, 10, 15, 12, 9, 6, 5, 4, 2 ], [ -7, -4, -10, -14, -11, -9, -6, -5, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ \
14, 8, 20, 28, 24, 18, 13, 10, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -7, -4, -10, -14, -12, -9, -6, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ]\
, thegtilde := [ [ 2, 22, -10, 6, -19, 0, 22, 0, 8, 0, 11, 0, 0, -11, 0, -11, 5, -11, 0, 0, -22, -11, -4, -23, 1, -16 ], [ 1, 11, -5, 3, -9, 0, 10, 0, 4, \
0, 6, 0, 0, -6, 0, -6, 3, -5, 1, 2, -11, -7, -3, -13, 0, -9 ], [ 2, 28, -13, 8, -24, 0, 28, 0, 10, 0, 14, 0, 0, -14, 0, -14, 6, -14, 0, 0, -28, -14, -5, -\
29, 1, -21 ], [ 2, 44, -20, 13, -38, 0, 44, 0, 16, 0, 22, 0, 0, -22, 0, -22, 10, -22, 0, 0, -44, -22, -8, -46, 2, -32 ], [ 2, 36, -16, 10, -31, 0, 36, 0, \
14, 0, 18, 0, 0, -18, 0, -18, 8, -18, 0, 0, -36, -18, -6, -38, 1, -26 ], [ 1, 26, -11, 7, -23, 1, 26, 0, 10, 0, 14, 0, -1, -14, 0, -14, 7, -13, 1, 1, -27,\
 -14, -6, -29, -1, -19 ], [ 1, 18, -8, 5, -16, 0, 19, 0, 7, 0, 9, 0, 0, -9, 0, -9, 4, -9, 0, 0, -18, -9, -3, -19, 0, -13 ], [ 1, 14, -7, 4, -12, 0, 14, 1,\
 5, 0, 8, 0, -1, -8, 0, -8, 4, -7, 1, 1, -15, -8, -4, -16, -1, -11 ], [ 0, 8, -4, 2, -6, 0, 8, 0, 3, 0, 4, 0, 0, -4, 0, -4, 2, -4, 0, 0, -8, -4, -2, -9, 0\
, -6 ], [ 1, 6, -4, 2, -5, 0, 6, 0, 2, 1, 3, 0, -1, -3, 0, -4, 2, -3, 1, 0, -7, -3, -2, -8, 0, -5 ], [ 0, -4, 2, -1, 3, 0, -4, 0, -1, 0, -1, 0, 0, 2, 0, 2\
, -1, 2, 0, 0, 4, 2, 1, 3, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 1, 2, -2, 1, -2, 0, 2, 0, 1, 0, 1,\
 0, -1, -1, 0, -1, 0, -1, 0, -2, -2, 1, 0, -2, 1, 0 ], [ 0, -4, 2, -1, 3, 0, -4, 0, -1, 0, 0, 0, 0, 1, 0, 2, -1, 2, 0, 2, 4, 0, 0, 3, 0, 2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, \
-2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0\
, -2, -1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, -2, 2, -1, 2, 0, -2, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, -1, 2 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 1\
, 2, -2, 1, -2, 0, 2, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, -2, -1, 0, -2, 1, -1 ] ] ), rec( GramQ := [ [ -16, -95, -20, -30, -24, 6, 0, 0, -3, -4, 2,\
 3, 0, 0, 0, 6, 0 ], [ -95, -760, -128, -184, -165, 38, -36, -28, -45, -47, -1, -7, -20, 6, -18, 40, -10 ], [ -20, -128, -28, -40, -33, 8, -1, -1, -4, -3,\
 3, 3, 0, 0, 0, 8, -2 ], [ -30, -184, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -165, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0\
, -2, 10, -2 ], [ 6, 38, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -36, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0\
, -28, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -45, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -47, -3, -6,\
 -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -7, 3, 6, 1, -3, -8, -5, -5, -\
3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -20, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], \
[ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 40, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -10, -2, 0, -2, 0, -\
2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 8, -4, -4, -4, 8 ], [ 0, 6, -8, 6, -8, 4, 4, 4, -8\
 ], [ 2, -4, 6, -8, 10, -4, -4, -4, 8 ], [ 0, 8, -8, 10, -20, 10, 8, 8, -16 ], [ 0, -4, 4, -4, 10, -8, -2, -4, 8 ], [ 0, -4, 4, -4, 8, -2, -8, -2, 8 ], [ \
0, -4, 4, -4, 8, -4, -2, -8, 12 ], [ 0, 8, -8, 8, -16, 8, 8, 12, -28 ] ], Sigma := [ [ 0, 1, -1, 1, -4, 1, 0, -3, 1, -4, 1, 0, 4, -3, -3, -2, -1 ], [ 0, 0\
, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, \
-1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -\
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 \
] ], adjweyl := [ 0, 12, -5, 6, -22, 10, 10, 10, -4, 12, 6, 1, -17, -16, 0, -23, 6, -21, 1, 0, -18, -18, -2, -17, -5, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0,\
 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, -19, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4 ], [ 0\
, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, \
-2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0,\
 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 3, -8, -1, 0, 3, -1, 0, 3, 0, -2, 0, 0, 4, 3, 1, 3, 0, \
5 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, \
0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0\
, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 16, 10, 22, 32, 28, 20, 14, 10, 8, 3 ], rlifts := [ [ 0, 2, -1, 1, -4, 2, 2, 2, -1, 2, 1, 0, -3,\
 -3, 1, -4, 1, -4, 0, -1, -3, -3, 0, -2, -1, -3 ] ], rootsQ := [ [ 0, 1, -1, 1, -4, 1, 0, -3, 0, -4, 1, 0, 5, -3, -3, -2, -1 ], [ 0, -1, 1, -1, 4, -1, 0, \
3, 0, 4, -1, 0, -5, 3, 3, 2, 1 ], [ 0, 1, -1, 1, -4, 1, 0, -3, 1, -4, 1, 0, 4, -3, -3, -2, -1 ], [ 0, -1, 1, -1, 4, -1, 0, 3, -1, 4, -1, 0, -4, 3, 3, 2, 1\
 ], [ 0, 1, -1, 1, -4, 1, 0, -3, -1, -4, 1, 0, 6, -3, -3, -3, -1 ], [ 0, -1, 1, -1, 4, -1, 0, 3, 1, 4, -1, 0, -6, 3, 3, 3, 1 ], [ 0, 1, -1, 1, -4, 1, 0, -\
3, 0, -4, 1, 0, 5, -3, -3, -3, -1 ], [ 0, -1, 1, -1, 4, -1, 0, 3, 0, 4, -1, 0, -5, 3, 3, 3, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1,\
 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1,\
 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, \
0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1"\
, "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 32, 21, 44, 64, 56, 40, 28, 20, 16, 6 ], [ -32, -20, -43, -64, -56, -40, -28, -20, -16, -6 ]\
, [ 32, 20, 44, 65, 56, 40, 28, 20, 16, 6 ], [ -64, -40, -88, -128, -111, -80, -56, -40, -32, -12 ], [ 32, 20, 44, 64, 56, 41, 28, 20, 16, 6 ], [ 32, 20, \
44, 64, 56, 40, 29, 20, 16, 6 ], [ 32, 20, 44, 64, 56, 40, 28, 21, 16, 6 ], [ -48, -30, -66, -96, -84, -60, -42, -30, -23, -9 ], [ 32, 20, 44, 64, 56, 40,\
 28, 20, 16, 7 ] ], thegtilde := [ [ 1, 44, -20, 22, -90, 44, 44, 44, -20, 44, 22, 0, -66, -66, 0, -88, 22, -88, 0, 0, -66, -66, 1, -56, -22, -65 ], [ 0, \
25, -11, 12, -49, 24, 24, 24, -11, 24, 13, 0, -36, -37, 0, -49, 13, -48, 1, 2, -37, -38, -1, -33, -13, -37 ], [ 0, 56, -25, 28, -114, 56, 56, 56, -26, 56,\
 28, 0, -84, -84, 0, -112, 28, -112, 0, 0, -84, -84, 1, -71, -29, -83 ], [ 0, 88, -40, 45, -180, 88, 88, 88, -40, 88, 44, 0, -132, -132, 0, -176, 44, -176\
, 0, 0, -132, -132, 2, -112, -44, -130 ], [ 0, 72, -32, 36, -147, 72, 72, 72, -32, 72, 36, 0, -108, -108, 0, -144, 36, -144, 0, 0, -108, -108, 2, -92, -37\
, -106 ], [ 0, 52, -23, 26, -107, 53, 52, 52, -23, 52, 27, 0, -79, -79, 0, -105, 27, -104, 1, 1, -79, -79, 0, -69, -28, -77 ], [ 0, 36, -16, 18, -74, 36, \
37, 36, -16, 36, 18, 0, -54, -54, 0, -72, 18, -72, 0, 0, -54, -54, 1, -46, -19, -53 ], [ 0, 28, -13, 14, -57, 28, 28, 29, -13, 28, 15, 0, -43, -43, 0, -57\
, 15, -56, 1, 1, -43, -43, -1, -38, -16, -42 ], [ 0, 16, -8, 8, -32, 16, 16, 16, -7, 16, 8, 0, -24, -24, 0, -32, 8, -32, 0, 0, -24, -24, 0, -20, -8, -24 ]\
, [ 0, 10, -5, 5, -20, 10, 10, 10, -5, 11, 5, 0, -16, -15, 0, -21, 6, -20, 1, 0, -16, -15, -1, -14, -6, -15 ], [ 0, -4, 2, -2, 8, -4, -4, -4, 2, -4, -1, 0\
, 6, 6, 0, 8, -2, 8, 0, 0, 6, 6, 0, 5, 2, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0, 4, -2, 2, -8, 4, 4,\
 4, -2, 4, 2, 0, -7, -6, 0, -8, 2, -8, 0, -2, -6, -4, 0, -5, -2, -4 ], [ 0, -4, 2, -2, 8, -4, -4, -4, 2, -4, 0, 0, 6, 5, 0, 8, -2, 8, 0, 2, 6, 4, -1, 3, 2\
, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, \
-2, -2, -2, -3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -8, 4, 4, 4, -2, 4, 2, 0, -6, \
-6, 0, -8, 2, -7, 0, 0, -6, -6, 0, -5, -2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -4, 2, -2, 8, -4, -4, -4, 2, -4, -2, 0, 6, 6, 0, 8, -2, 8, 0, 0, 6, 6, 1, 5, 2,\
 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -8, 4, 4, 4, -2, 4, 2, 0, -6, -6, 0, -8, 2, -8, 0, 0, -6, -6, 0, -5, -2, -5 ] ] ), rec( GramQ := [ [ -16, -54, -20, -30, -\
24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -54, -300, -68, -100, -91, 14, -30, -22, -31, -39, -7, -11, -18, 8, -18, 20, -2 ], [ -20, -68, -28, -40, -33\
, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -100, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -91, -33, -48, -42, 10, -5, -3, \
-9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 14, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -30, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, \
2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -31, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ],\
 [ -4, -39, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, \
1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 8, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0\
, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 20, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, \
-2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 12, -4, 0, 0, -2 ], [ 0, 6, -8,\
 6, -12, 4, 0, 0, 2 ], [ 2, -4, 6, -8, 16, -4, 0, 0, -2 ], [ 0, 12, -12, 16, -52, 16, 0, 0, 6 ], [ 0, -4, 4, -4, 16, -8, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 2, -\
4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, -2, 2, -2, 6, -2, 0, 2, -4 ] ], Sigma := [ [ -1, 1, -1, 1, -2, 0, -1, -1, -1, -2, -1, -1, 5, -1, -2, -1, 2\
 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, \
-1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, \
0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0\
, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 6, -14, 10, 2, 2, 0, 12, 2, 1, -13, -12, 0, -19, 2, -13, 1, 0, -14, -18, -4, -15, 1, -12 ], embQ := [ [ 1, 0, 0, 0\
, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, -11, 2, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, -3\
 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4,\
 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1\
, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 4, -12, -2, 0, 4, -2, 0, 4, 0, -4, 0, 0, 6, 4, 2\
, 5, 0, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, \
0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2,\
 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ] ], r := [ 10, 6, 14, 20, 18, 13, 10, 7, 4, 1 ], rlifts := [ [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, \
0, -1, -1, -2, -1, -2, -1, -2, -1, 1, -1, -2, 1, -1, 2, -1 ] ], rootsQ := [ [ -1, 1, -1, 1, -2, 0, -1, -1, -1, -2, -1, -1, 5, -1, -2, -1, 2 ], [ 1, -1, 1,\
 -1, 2, 0, 1, 1, 1, 2, 1, 1, -5, 1, 2, 1, -2 ], [ -1, 1, -1, 1, -2, 0, -1, -2, 0, -3, 0, 0, 4, -2, -2, -2, 1 ], [ 1, -1, 1, -1, 2, 0, 1, 2, 0, 3, 0, 0, -4\
, 2, 2, 2, -1 ], [ -1, 1, -1, 1, -2, 0, 1, -2, 0, -3, 0, 0, 3, -2, -4, -2, 0 ], [ 1, -1, 1, -1, 2, 0, -1, 2, 0, 3, 0, 0, -3, 2, 4, 2, 0 ], [ -1, 1, -1, 1,\
 -2, 0, 1, -3, 1, -4, 1, 1, 2, -3, -4, -3, -1 ], [ 1, -1, 1, -1, 2, 0, -1, 3, -1, 4, -1, -1, -2, 3, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2\
, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0\
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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1\
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 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1\
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1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 36, 26, 20, 14, 8, 2 ], [ -20, -12, -27, -40, -36, -26, -20, -\
14, -8, -2 ], [ 20, 12, 28, 41, 36, 26, 20, 14, 8, 2 ], [ -30, -18, -42, -60, -53, -39, -30, -21, -12, -3 ], [ 20, 12, 28, 40, 36, 27, 20, 14, 8, 2 ], [ 0\
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= [ [ -11, 24, -10, 12, -26, 24, 0, 0, 2, 24, 0, 0, -24, -24, 0, -36, 0, -24, 0, 0, -24, -36, -5, -25, 6, -17 ], [ -6, 13, -5, 6, -13, 12, 0, 0, 1, 12, 1,\
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 -6, -29, 6, -20 ], [ -22, 44, -18, 23, -48, 44, 0, 0, 4, 44, 0, 0, -44, -44, 0, -66, 0, -44, 0, 0, -44, -66, -9, -46, 11, -31 ], [ -18, 36, -14, 18, -39,\
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18, -8, 9, -19, 18, 0, 1, 1, 18, 1, 1, -19, -19, 0, -28, 1, -18, 1, 1, -19, -29, -6, -20, 2, -14 ], [ -4, 8, -4, 4, -8, 8, 0, 0, 1, 8, 0, 0, -8, -8, 0, -1\
2, 0, -8, 0, 0, -8, -12, -2, -9, 2, -6 ], [ -3, 6, -3, 3, -6, 6, 0, 0, 0, 7, 0, 1, -7, -6, 0, -10, 1, -6, 1, 0, -7, -10, -3, -8, 0, -5 ], [ 0, 0, 0, 0, 0,\
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0, -2, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0 ], [ -2, 4, -2, 2, -4, 4, 0, 0, 0, 4, 0, 0, -4, -4, 0, -6, 0, -4, 0, 0, -4, -6, -1, -4, 1, -2 ] ] ), rec( GramQ := [ [ -16, -70, -20, -3\
0, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -70, -416, -94, -136, -121, 28, -26, -20, -33, -37, 1, -3, -14, 8, -14, 30, -6 ], [ -20, -94, -28, -40, \
-33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -136, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -121, -33, -48, -42, 10, -5, \
-3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 28, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -26, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, \
-8, 2, -6, 0, -2 ], [ 0, -20, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -33, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, \
0 ], [ -4, -37, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -3, 3, 6\
, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 8, 0, 0, 0, 2, 2, 2, 0, 2, 0,\
 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0\
, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 12, -4, 0, -2, 2 ], [ 0, 6, -\
8, 6, -12, 4, 0, 2, -2 ], [ 2, -4, 6, -8, 16, -4, 0, -2, 2 ], [ 0, 12, -12, 16, -52, 16, 0, 6, -6 ], [ 0, -4, 4, -4, 16, -8, 2, -2, 2 ], [ 0, 0, 0, 0, 0, \
2, -4, 2, 0 ], [ 0, -2, 2, -2, 6, -2, 2, -4, 2 ], [ 0, 2, -2, 2, -6, 2, 0, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 1, -3, 1, -1, -1, -1, -2, 0, -1, 5, 0, -1, -1\
, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, \
1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ \
0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1\
, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 6, -18, 10, 2, 10, 0, 4, 6, 1, -13, -16, 0, -19, 6, -21, 1, 0, -10, -14, -4, -15, -3, -16 ], embQ := [ [ 1, 0, 0\
, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 2, -13, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 0\
, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 1, -4, 2, 0, -1, 0, 0, 2, -\
2, 2, 1, 0, -2, 1, 0, 0, 1, -2, 0, 0, 1, 1, 2, 1, -2, -1 ], [ -3, 2, -1, 1, 1, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 3, 0\
, 0, -1, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, -1, -1, -1, -1, -3 ], [ -5, 0, 0, 2, -1, 4, 0, -6, 4, -6, -5, 0, 4, 1, 0, 4, -3, 2, 0, \
0, 3, 1, 2, 5, 3, 11 ], [ 1, 0, 0, 0, 1, -4, 2, 2, -2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, 1, 1, -1, -1, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2,\
 -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 2, -2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, -1, 0, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 10, 6, 14, 20, 18, 13, 10, 7, 6, 3 ], rlifts := [ [ 0, 2, -1, 1, -3, 2, 0, 2, 0,\
 0, 1, -1, -1, -3, -1, -2, 0, -4, -1, 1, 0, -1, 1, -1, 1, -2 ] ], rootsQ := [ [ 0, 1, -1, 1, -3, 1, -1, -1, -1, -2, 0, -1, 5, 0, -1, -1, 1 ], [ 0, -1, 1, \
-1, 3, -1, 1, 1, 1, 2, 0, 1, -5, 0, 1, 1, -1 ], [ 0, 1, -1, 1, -3, 1, -1, -2, 0, -3, 1, 0, 4, -1, -1, -2, 0 ], [ 0, -1, 1, -1, 3, -1, 1, 2, 0, 3, -1, 0, -\
4, 1, 1, 2, 0 ], [ 0, 1, -1, 1, -3, 1, 1, -2, 0, -3, 1, 0, 3, -1, -3, -2, -1 ], [ 0, -1, 1, -1, 3, -1, -1, 2, 0, 3, -1, 0, -3, 1, 3, 2, 1 ], [ 0, 1, -1, 1\
, -3, 1, 1, -3, 1, -4, 2, 1, 2, -2, -3, -3, -2 ], [ 0, -1, 1, -1, 3, -1, -1, 3, -1, 4, -2, -1, -2, 2, 3, 3, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1,\
 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, \
-1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, \
1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, \
-1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", \
"A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 36, 26, 20, 14, 12, 6 ], [ -20, -12, -27, -40, -36, -26, -20\
, -14, -12, -6 ], [ 20, 12, 28, 41, 36, 26, 20, 14, 12, 6 ], [ -30, -18, -42, -60, -53, -39, -30, -21, -18, -9 ], [ 20, 12, 28, 40, 36, 27, 20, 14, 12, 6 \
], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 12, 28, 40, 36, 26, 20, 15, 12, 6 ], [ -20, -12, -28, -40, -36, -26, -20, -14, -11, -6 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1 ] ], thegtilde := [ [ 1, 32, -14, 16, -50, 32, 0, 32, 2, 0, 16, 0, -32, -48, 0, -48, 16, -64, 0, 0, -16, -32, -7, -33, -8, -39 ], [ 0, 17, -7, 8\
, -25, 16, 0, 16, 1, 0, 9, 0, -16, -25, 0, -25, 9, -32, 1, 2, -9, -18, -5, -19, -5, -21 ], [ 0, 40, -17, 20, -62, 40, 0, 40, 2, 0, 20, 0, -40, -60, 0, -60\
, 20, -80, 0, 0, -20, -40, -9, -41, -11, -49 ], [ 0, 64, -28, 33, -100, 64, 0, 64, 4, 0, 32, 0, -64, -96, 0, -96, 32, -128, 0, 0, -32, -64, -14, -66, -16,\
 -78 ], [ 0, 52, -22, 26, -81, 52, 0, 52, 4, 0, 26, 0, -52, -78, 0, -78, 26, -104, 0, 0, -26, -52, -11, -54, -14, -63 ], [ 0, 38, -16, 19, -60, 39, 0, 38,\
 3, 0, 20, 1, -39, -58, 0, -58, 20, -76, 1, 1, -20, -40, -10, -41, -12, -47 ], [ 0, 28, -12, 14, -44, 28, 1, 28, 2, 0, 14, 0, -28, -42, 0, -42, 14, -56, 0\
, 0, -14, -28, -6, -29, -8, -34 ], [ 0, 22, -10, 11, -34, 22, 0, 23, 1, 0, 12, 1, -23, -34, 0, -34, 12, -44, 1, 1, -12, -24, -7, -24, -8, -28 ], [ 0, 12, \
-6, 6, -18, 12, 0, 12, 1, 0, 6, 0, -12, -18, 0, -18, 6, -24, 0, 0, -6, -12, -3, -13, -3, -15 ], [ 0, 10, -5, 5, -15, 10, 0, 10, 0, 1, 5, 1, -11, -15, 0, -\
16, 6, -20, 1, 0, -6, -11, -4, -12, -4, -13 ], [ 0, -4, 2, -2, 6, -4, 0, -4, 0, 0, -1, 0, 4, 6, 0, 6, -2, 8, 0, 0, 2, 4, 1, 3, 1, 5 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, 0, 0, 2, 2, -5, -6, 0, -6, 2, -8, 0, -2, -2, -4, -2, -4, -2, -\
4 ], [ 0, -4, 2, -2, 6, -4, 0, -4, 0, 0, 0, 0, 4, 5, 0, 6, -2, 8, 0, 2, 2, 2, 0, 3, 1, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, 0, 0, 2, 0, -4, -6, 0, -6, 2, -7, 0, 0, -2, -4, -1, -4, -1, -5 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]\
, [ 0, -4, 2, -2, 6, -4, 0, -4, 0, 0, -2, 0, 4, 6, 0, 6, -2, 8, 0, 0, 2, 4, 2, 4, 1, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, 0, 0, 2, 0, -4, -6, 0, -\
6, 2, -8, 0, 0, -2, -4, -1, -4, -1, -4 ] ] ), rec( GramQ := [ [ -16, -64, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -64, -366, -85, -124, -\
112, 25, -28, -20, -35, -37, -2, -8, -18, 4, -15, 26, -4 ], [ -20, -85, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -124, -40, -60, -\
48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -112, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 25, 8, 12, 10, -8, -2, -2, 3\
, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -28, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -20, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4,\
 2, -4, 0, -2 ], [ -3, -35, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -37, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 \
], [ 2, -2, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -8, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -\
4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -15, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -\
4, 2, -4, 0, 0 ], [ 6, 26, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp\
 := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 4, -4, -4, 0, 2 ], [ 0, 6, -8, 6, -4, 4, 4, 0, -2 ], [ 2, -4, 6, -8, 6, -4, -4, 0, 2 ], [ 0, 4, -4, \
6, -12, 8, -4, 2, -2 ], [ 0, -4, 4, -4, 8, -8, 0, 0, 2 ], [ 0, -4, 4, -4, -4, 0, -20, 4, 2 ], [ 0, 0, 0, 0, 2, 0, 4, -4, 2 ], [ 0, 2, -2, 2, -2, 2, 2, 2, \
-4 ] ], Sigma := [ [ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -2, -3, 0 ], [ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, 4, -3, -4, -3, 0 ], [ 0, 0, 0, \
0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -\
1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1,\
 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], \
adjweyl := [ 0, 8, -3, 4, -12, 6, 4, 2, 0, 8, 4, 1, -9, -8, 0, -13, 4, -11, 1, 0, -11, -12, -3, -13, -1, -11 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 1, 0, -13, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -3 ], [ 0, 0, 1, 0, 0,\
 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0,\
 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ]\
, embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, \
0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4,\
 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 4, -4, 2, 1, -4, -1, 0, -1, -3, 0, -1, 0, -4, 0, 0, 4, 0, 0, 2, 0, 2 ], [ 0, \
0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 4, -8, 4, -2, 4, 0, 0, -6, -4, 0, -6, 0, -4, 0, 0, 2, -\
4, -2, -1, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0,\
 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 10, 6, 14, 20, 18, 13, 10, 8, 6, 2 ], rlifts := [ [ 0, 2, -1, 1, -3, 2, 1, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1\
, -3, 0, 1, -3, -4, -1, -3, 0, -3 ], [ 0, 2, -1, 1, -3, 2, 1, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -3, 0, -1, -2, -2, 0, -3, 0, -2 ] ], rootsQ := [ [ 0, 1, -1\
, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -2, -3, 0 ], [ 0, -1, 1, -1, 3, -1, 0, 2, 0, 3, -1, 0, -3, 2, 2, 3, 0 ], [ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, \
4, -3, -4, -3, 0 ], [ 0, -1, 1, -1, 3, -1, 0, 2, 0, 3, -1, 0, -4, 3, 4, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0\
, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1\
, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0,\
 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 36, 26, 20, 16, 12, 4 ], [ -20, -12, -27, -40, -36, -26, -20, -16, -12, -4 \
], [ 20, 12, 28, 41, 36, 26, 20, 16, 12, 4 ], [ -30, -18, -42, -60, -53, -39, -30, -24, -18, -6 ], [ 20, 12, 28, 40, 36, 27, 20, 16, 12, 4 ], [ 10, 6, 14,\
 20, 18, 13, 11, 8, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -20, -12, -28, -40, -36, -26, -20, -16, -11, -4 ], [ 20, 12, 28, 40, 36, 26, 20, 16, 12, 5\
 ] ], thegtilde := [ [ 1, 32, -14, 16, -50, 32, 16, 0, 2, 32, 16, 0, -32, -32, 0, -48, 16, -48, 0, 0, -40, -48, -7, -49, 0, -39 ], [ 0, 17, -7, 8, -25, 16\
, 8, 0, 1, 16, 9, 0, -16, -17, 0, -25, 9, -24, 1, 2, -21, -26, -5, -27, -1, -21 ], [ 0, 40, -17, 20, -62, 40, 20, 0, 2, 40, 20, 0, -40, -40, 0, -60, 20, -\
60, 0, 0, -50, -60, -9, -61, -1, -49 ], [ 0, 64, -28, 33, -100, 64, 32, 0, 4, 64, 32, 0, -64, -64, 0, -96, 32, -96, 0, 0, -80, -96, -14, -98, 0, -78 ], [ \
0, 52, -22, 26, -81, 52, 26, 0, 4, 52, 26, 0, -52, -52, 0, -78, 26, -78, 0, 0, -65, -78, -11, -80, -1, -63 ], [ 0, 38, -16, 19, -60, 39, 19, 0, 3, 38, 20,\
 0, -39, -39, 0, -58, 20, -57, 1, 2, -49, -59, -10, -60, -2, -47 ], [ 0, 28, -12, 14, -44, 28, 15, 0, 2, 28, 14, 0, -28, -28, 0, -42, 14, -42, 0, 0, -35, \
-42, -6, -43, -1, -34 ], [ 0, 24, -11, 12, -37, 24, 12, 1, 1, 24, 13, 0, -25, -25, 0, -37, 13, -36, 1, 1, -31, -37, -7, -38, -2, -30 ], [ 0, 12, -6, 6, -1\
8, 12, 6, 0, 1, 12, 6, 0, -12, -12, 0, -18, 6, -18, 0, 0, -15, -18, -3, -19, 0, -15 ], [ 0, 8, -4, 4, -12, 8, 4, 0, 0, 9, 4, 0, -9, -8, 0, -13, 5, -12, 1,\
 2, -12, -14, -4, -14, -1, -11 ], [ 0, -4, 2, -2, 6, -4, -2, 0, 0, -4, -1, 0, 4, 4, 0, 6, -2, 6, 0, 0, 5, 6, 1, 5, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -6, 4, 2, 0, 0, 4, 2, 0, -5, -4, 0, -6, 2, -6, 0, 0, -6, -6, -2, -6, 0, -4 ], [ 0, -4,\
 2, -2, 6, -4, -2, 0, 0, -4, 0, 0, 4, 3, 0, 6, -2, 6, 0, 0, 6, 6, 1, 5, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 2, 0, 0, 4, 2, 0, -4, -4, 0, -6, 2, -5, 0, 0, -5, -6, -1, -6, 0, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, -2, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1 ], [ 0\
, -4, 2, -2, 6, -4, -2, 0, 0, -4, -2, 0, 4, 4, 0, 6, -2, 6, 0, 0, 5, 6, 2, 6, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 2, 0, 0, 4, 2, 0, -4, -4, 0, -6, 2\
, -6, 0, 0, -5, -6, -1, -6, 0, -4 ] ] ), rec( GramQ := [ [ -16, -33, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -33, -156, -40, -58, -55, 8,\
 -24, -18, -23, -31, -9, -11, -14, 6, -14, 12, -2 ], [ -20, -40, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -58, -40, -60, -48, 12, \
0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -55, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 8, 8, 12, 10, -8, -2, -2, 3, 2, -2, -\
3, 0, 2, -2, -4, 0 ], [ 0, -24, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0,\
 -2 ], [ -3, -23, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -31, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9\
, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8,\
 -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4,\
 0, 0 ], [ 6, 12, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -\
4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 4, 0, 0, -4, 0 ], [ 0, 6, -8, 6, -4, 0, 0, 4, 0 ], [ 2, -4, 6, -8, 6, 0, 0, -4, 0 ], [ 0, 4, -4, 6, -8, 2, 0,\
 4, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, -4, 4, -4, 4, 0, 2, -8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [\
 -1, 1, -1, 1, -1, 0, 0, -2, 1, -3, 0, 0, 2, -2, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1,\
 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 6, -10, 2, 2, 10, -4, 12, 2, 1, -13, -12, 0, -19, 2, -13\
, 1, 0, -14, -14, -2, -13, -1, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, \
2, -7, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, \
0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2\
, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2\
, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0,\
 -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 10, 6, 14, 20, 18, 14, 10, 6, \
4, 1 ], rlifts := [ [ -1, 2, -1, 1, -1, 0, 0, 2, -1, 2, 0, 0, -2, -2, 1, -3, 0, -2, 0, -1, -2, -2, 0, -1, 0, -3 ] ], rootsQ := [ [ -1, 1, -1, 1, -1, 0, 0,\
 -2, 0, -3, 0, 0, 3, -2, -2, -1, 0 ], [ 1, -1, 1, -1, 1, 0, 0, 2, 0, 3, 0, 0, -3, 2, 2, 1, 0 ], [ -1, 1, -1, 1, -1, 0, 0, -2, 1, -3, 0, 0, 2, -2, -2, -1, \
0 ], [ 1, -1, 1, -1, 1, 0, 0, 2, -1, 3, 0, 0, -2, 2, 2, 1, 0 ], [ -1, 1, -1, 1, -1, 0, 0, -2, -1, -3, 0, 0, 4, -2, -2, -2, 0 ], [ 1, -1, 1, -1, 1, 0, 0, 2\
, 1, 3, 0, 0, -4, 2, 2, 2, 0 ], [ -1, 1, -1, 1, -1, 0, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 1, -1, 1, -1, 1, 0, 0, 2, 0, 3, 0, 0, -3, 2, 2, 2, 0 ], [\
 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -\
1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1,\
 -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0\
, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0\
, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0\
, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 36, 28, 20, 12, 8, 2\
 ], [ -20, -12, -27, -40, -36, -28, -20, -12, -8, -2 ], [ 20, 12, 28, 41, 36, 28, 20, 12, 8, 2 ], [ -20, -12, -28, -40, -35, -28, -20, -12, -8, -2 ], [ 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 12, 28, 40, 36, 28, 20, 13, 8, 2 ], [ -10, -6, -14, -20, -18, -14, -10, -6, -3, -1 ]\
, [ 20, 12, 28, 40, 36, 28, 20, 12, 8, 3 ] ], thegtilde := [ [ -11, 24, -10, 12, -14, 0, 0, 24, -10, 24, 0, 0, -24, -24, 0, -36, 0, -24, 0, 0, -24, -24, 1\
, -19, 0, -35 ], [ -6, 13, -5, 6, -7, 0, 0, 12, -5, 12, 1, 0, -12, -13, 0, -19, 1, -12, 1, 2, -13, -14, -1, -12, -1, -19 ], [ -14, 28, -11, 14, -16, 0, 0,\
 28, -12, 28, 0, 0, -28, -28, 0, -42, 0, -28, 0, 0, -28, -28, 1, -22, -1, -41 ], [ -22, 44, -18, 23, -26, 0, 0, 44, -18, 44, 0, 0, -44, -44, 0, -66, 0, -4\
4, 0, 0, -44, -44, 2, -35, 0, -64 ], [ -18, 36, -14, 18, -21, 0, 0, 36, -14, 36, 0, 0, -36, -36, 0, -54, 0, -36, 0, 0, -36, -36, 2, -29, -1, -52 ], [ -14,\
 28, -11, 14, -17, 1, 0, 28, -11, 28, 1, 0, -29, -29, 0, -43, 1, -28, 1, 1, -29, -29, 0, -25, -2, -41 ], [ -10, 20, -8, 10, -12, 0, 1, 20, -8, 20, 0, 0, -\
20, -20, 0, -30, 0, -20, 0, 0, -20, -20, 1, -16, -1, -29 ], [ -8, 16, -7, 8, -9, 0, 0, 17, -7, 16, 1, 0, -17, -17, 0, -25, 1, -16, 1, 1, -17, -17, -1, -15\
, -2, -24 ], [ -4, 8, -4, 4, -4, 0, 0, 8, -3, 8, 0, 0, -8, -8, 0, -12, 0, -8, 0, 0, -8, -8, 0, -6, 0, -12 ], [ -3, 6, -3, 3, -3, 0, 0, 6, -3, 7, 0, 0, -7,\
 -6, 0, -10, 1, -6, 1, 0, -7, -6, -1, -6, -1, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ -2, 4, -2, 2, -2, 0, 0, 4, -2, 4, 0, 0, -5, -4, 0, -6, 0, -4, 0, -2, -4, -2, 0, -3, 0, -4\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, \
0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, -4, 2, \
-2, 2, 0, 0, -4, 2, -4, 0, 0, 4, 4, 0, 6, 0, 4, 0, 0, 4, 4, 1, 3, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -2, 4, -2, 2, -2, 0, 0, 4, -2, 4, 0, 0, -4, -4, 0, -6, 0, -4, 0, 0,\
 -4, -4, 0, -3, 0, -5 ] ] ), rec( GramQ := [ [ -16, -43, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -43, -194, -57, -82, -76, 19, -22, -16, \
-27, -29, -4, -8, -14, 2, -11, 18, -4 ], [ -20, -57, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -82, -40, -60, -48, 12, 0, 0, -6, -6\
, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -76, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 19, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2\
, -4, 0 ], [ 0, -22, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -16, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3\
, -27, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -29, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -4, 3, 6, 2, \
-2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -8, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8, -4, -8, -6,\
 -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -11, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6\
, 18, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, \
0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 4, 0, 2, -4, 8 ], [ 0, 6, -8, 6, -4, 0, -2, 4, -8 ], [ 2, -4, 6, -8, 6, 0, 2, -4, 8 ], [ 0, 4, -4, 6, -8, 2, -2, 4, -8 ],\
 [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 2, -2, 2, -2, 2, -8, 6, -10 ], [ 0, -4, 4, -4, 4, 0, 6, -8, 12 ], [ 0, 8, -8, 8, -8, 0, -10, 12, -28 ] ], Sigma := [\
 [ 0, 1, -1, 1, -2, 1, 0, -2, 0, -3, 1, -1, 3, -2, -1, -2, 0 ], [ 0, 1, -1, 1, -2, 1, 0, -2, 0, -3, 1, 1, 3, -3, -3, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, \
1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, \
0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, \
8, -3, 4, -10, 2, 4, 6, -2, 8, 4, 1, -9, -8, 0, -13, 4, -11, 1, 0, -11, -10, -2, -12, -2, -14 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 1, 2, -9, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0,\
 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0\
, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [\
 [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0\
, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2,\
 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 2, -4, 4, 0, -2, 1, 0, -2, -3, 0, -2, 1, -4, 0, 0, 3, 0, -1, 0, -1, -2 ], \
[ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4,\
 4, 0, 1, -2, 0 ] ], r := [ 10, 6, 14, 20, 18, 14, 10, 7, 6, 2 ], rlifts := [ [ 0, 2, -1, 1, -2, 0, 1, 2, -1, 2, 1, 0, -2, -2, 0, -3, 1, -3, -1, -1, -2, -\
1, 1, -2, 0, -3 ], [ 0, 2, -1, 1, -2, 0, 1, 2, -1, 2, 1, 0, -2, -2, 0, -3, 1, -3, 1, 1, -3, -3, -1, -3, -1, -5 ] ], rootsQ := [ [ 0, 1, -1, 1, -2, 1, 0, -\
2, 0, -3, 1, -1, 3, -2, -1, -2, 0 ], [ 0, -1, 1, -1, 2, -1, 0, 2, 0, 3, -1, 1, -3, 2, 1, 2, 0 ], [ 0, 1, -1, 1, -2, 1, 0, -2, 0, -3, 1, 1, 3, -3, -3, -3, \
-1 ], [ 0, -1, 1, -1, 2, -1, 0, 2, 0, 3, -1, -1, -3, 3, 3, 3, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1\
, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [\
 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1,\
 -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0\
 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
 ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 13, 28, 40, 36, 28, 20, 14, 12, 4 ], [ -20, -12, -27, -40, -36, -28, -20, -14, -12, -4 ], [ 20, 12, \
28, 41, 36, 28, 20, 14, 12, 4 ], [ -20, -12, -28, -40, -35, -28, -20, -14, -12, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 10, 6, 14, 20, 18, 14, 11, 7, 6,\
 2 ], [ 20, 12, 28, 40, 36, 28, 20, 15, 12, 4 ], [ -30, -18, -42, -60, -54, -42, -30, -21, -17, -6 ], [ 20, 12, 28, 40, 36, 28, 20, 14, 12, 5 ] ], thegtil\
de := [ [ 1, 32, -14, 16, -34, 0, 16, 32, -14, 32, 16, 0, -32, -32, 0, -48, 16, -48, 0, 0, -40, -32, 1, -41, -8, -63 ], [ 0, 17, -7, 8, -17, 0, 8, 16, -7,\
 16, 9, 0, -16, -17, 0, -25, 9, -24, -1, 0, -20, -16, 1, -22, -4, -31 ], [ 0, 40, -17, 20, -42, 0, 20, 40, -18, 40, 20, 0, -40, -40, 0, -60, 20, -60, 0, 0\
, -50, -40, 1, -51, -11, -79 ], [ 0, 64, -28, 33, -68, 0, 32, 64, -28, 64, 32, 0, -64, -64, 0, -96, 32, -96, 0, 0, -80, -64, 2, -82, -16, -126 ], [ 0, 52,\
 -22, 26, -55, 0, 26, 52, -22, 52, 26, 0, -52, -52, 0, -78, 26, -78, 0, 0, -65, -52, 2, -67, -14, -102 ], [ 0, 40, -17, 20, -43, 1, 20, 40, -17, 40, 21, 0\
, -41, -41, 0, -61, 21, -60, -1, -1, -50, -39, 2, -52, -11, -77 ], [ 0, 28, -12, 14, -30, 0, 15, 28, -12, 28, 14, 0, -28, -28, 0, -42, 14, -42, 0, 0, -35,\
 -28, 1, -36, -8, -55 ], [ 0, 22, -10, 11, -23, 0, 11, 23, -10, 22, 12, 0, -23, -23, 0, -34, 12, -33, 0, 0, -28, -22, 0, -29, -7, -43 ], [ 0, 12, -6, 6, -\
12, 0, 6, 12, -5, 12, 6, 0, -12, -12, 0, -18, 6, -18, 0, 0, -15, -12, 0, -16, -3, -24 ], [ 0, 8, -4, 4, -8, 0, 4, 8, -4, 9, 4, 0, -9, -8, 0, -13, 5, -12, \
-1, -2, -10, -6, 1, -11, -2, -14 ], [ 0, -4, 2, -2, 4, 0, -2, -4, 2, -4, -1, 0, 4, 4, 0, 6, -2, 6, 0, 0, 5, 4, 0, 4, 1, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0, -2, -2, 1, 4, 3, 1, 1, 3 ], [ 0, 4, -2, 2, -4, 0, 2, 4, -2, 4, 2, 0, -5, -4, 0, -6, 2, -6, 0, -2, -5, -2, 0, -5, -1, -6 ], [ 0\
, -4, 2, -2, 4, 0, -2, -4, 2, -4, 0, 0, 4, 3, 0, 6, -2, 6, 0, 2, 5, 2, -1, 4, 1, 7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 1, 2\
, 2, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 4, -2, 2, -4, 0, 2, 4, -2, 4, 2, 0, -4, -4, 0, -6, 2, -5, 0, 0, -5, -4, 0, -5, -1, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 2, 2, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 2, 2, 1, 1, 2 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 3, 2, 1, 1, 2 ], [ \
0, -4, 2, -2, 4, 0, -2, -4, 2, -4, -2, 0, 4, 4, 0, 6, -2, 6, 0, 0, 5, 4, 1, 5, 1, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -4, 0, 2, 4, -2, 4, 2, 0, -4, -4, 0, -6,\
 2, -6, 0, 0, -5, -4, 0, -5, -1, -7 ] ] ), rec( GramQ := [ [ -16, -78, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -78, -524, -106, -154, -13\
9, 32, -32, -22, -42, -40, -1, -9, -22, 2, -16, 32, -6 ], [ -20, -106, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -154, -40, -60, -4\
8, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -139, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 32, 8, 12, 10, -8, -2, -2, 3,\
 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -32, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, \
2, -4, 0, -2 ], [ -3, -42, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -40, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ]\
, [ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -22, 0, 0, -4\
, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -16, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4\
, 2, -4, 0, 0 ], [ 6, 32, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp \
:= [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, 0, 4, -4, -4, 0, 2 ], [ 0, 8, -20, 4, -4, 4, 4, 0, -2 ], [ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 0, 4, -4, 2, -\
8, 6, 4, 0, -2 ], [ 0, -4, 4, 0, 6, -8, -2, 0, 2 ], [ 0, -4, 4, 0, 4, -2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 2, -2, 0, -2, 2, 2, 2, -4 ] ], \
Sigma := [ [ 1, 1, -1, 0, -3, 1, 0, -2, 0, -3, 1, 0, 3, -3, -3, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1,\
 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 2, -18, 10, 10, 2, 0, 12, 6, 1, -13, -12, 0, \
-19, 6, -13, 1, 0, -18, -18, -6, -19, -3, -14 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0\
, 0, 2, 2, 0, -16, 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0\
, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 2,\
 -4, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, -1, 2, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0,\
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0, 8, 6, 2 ], rlifts := [ [ 1, 2, -1, 0, -3, 2, 2, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 0, -3, -3, -1, -3, -1, -2 ] ], rootsQ := [ [ 1, 1, -1, 0, -3, 1\
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, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 15, 32, 48, 40, 28,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -57, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0\
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2 ], [ -30, -112, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -103, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6,\
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, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -34, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -32, -3, -6, -7, 2, -6, -2, -8, \
-12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4\
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0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, 0, 6, 0, -4, -4, 8 ], [ 0, 8, -16, 2, -12, 0, 6, 8, -18 ], [ 2, 0, 2, -4, 2\
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[ 0, 8, -18, 0, -18, 0, 8, 12, -28 ] ], Sigma := [ [ 1, 1, -2, 0, -1, 1, 0, -2, 0, -3, 1, 0, 2, -3, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, \
-2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0,\
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-1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 2, -1\
4, 2, 10, 10, -4, 12, 6, 1, -13, -12, 0, -19, 6, -13, 1, 0, -18, -14, -4, -17, -5, -20 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -12, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0,\
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1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2, 0, 2, -2, 0, 1, 0, -2, 0, 0, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0 ] ], r := [ 12, 7, 16, 24, 20, 15, 10, 7, 6, 2 ], rlifts := [ [ 1, 2, -2, 0, -1, 0, 2, 2, -2, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 0, -3, -2, -1, -2, -1, -\
4 ] ], rootsQ := [ [ 1, 1, -1, 0, -2, 0, 0, -2, -1, -3, 1, 0, 3, -3, -1, -2, -1 ], [ -1, -1, 1, 0, 2, 0, 0, 2, 1, 3, -1, 0, -3, 3, 1, 2, 1 ], [ 1, 1, -2, \
0, -1, 1, 0, -2, 0, -3, 1, 0, 2, -3, -2, -2, -1 ], [ -1, -1, 2, 0, 1, -1, 0, 2, 0, 3, -1, 0, -2, 3, 2, 2, 1 ], [ 1, 1, 0, 0, -3, 1, 0, -2, 0, -3, 1, 0, 3,\
 -3, -2, -3, -1 ], [ -1, -1, 0, 0, 3, -1, 0, 2, 0, 3, -1, 0, -3, 3, 2, 3, 1 ], [ 1, 1, -1, 0, -2, 2, 0, -2, 1, -3, 1, 0, 2, -3, -3, -3, -1 ], [ -1, -1, 1,\
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, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, \
-1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 24, 15, 32, 48, 40, 30, 20, 14, 12, 4 ], [ -12, -7, -15, -24, -20, -15, -10, -7, -6, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -12, -7, -16,\
 -24, -19, -15, -10, -7, -6, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 24, 14, 32, 48, 40, 30, 21, 14, 12, 4 ], [ 24, 14, 32, 48, 40, 30, 20, 15, 12, 4 ],\
 [ -36, -21, -48, -72, -60, -45, -30, -21, -17, -6 ], [ 24, 14, 32, 48, 40, 30, 20, 14, 12, 5 ] ], thegtilde := [ [ 17, 32, -14, 0, -34, 0, 32, 32, -14, 3\
2, 16, 0, -32, -32, 0, -48, 16, -32, 0, 0, -48, -32, -7, -41, -16, -55 ], [ 9, 19, -8, 0, -19, 0, 18, 18, -8, 18, 9, 0, -18, -18, -1, -28, 10, -18, 1, 2, \
-28, -19, -5, -25, -10, -32 ], [ 22, 44, -19, 0, -46, 0, 44, 44, -20, 44, 22, 0, -44, -44, 0, -66, 22, -44, 0, 0, -66, -44, -10, -56, -23, -76 ], [ 34, 68\
, -30, 1, -72, 0, 68, 68, -30, 68, 34, 0, -68, -68, 0, -102, 34, -68, 0, 0, -102, -68, -15, -87, -34, -117 ], [ 28, 56, -24, 0, -59, 0, 56, 56, -24, 56, 2\
8, 0, -56, -56, 0, -84, 28, -56, 0, 0, -84, -56, -12, -72, -29, -96 ], [ 21, 42, -18, 0, -45, 1, 42, 42, -18, 42, 21, 0, -43, -42, -1, -64, 22, -42, 1, 1,\
 -64, -42, -10, -55, -23, -72 ], [ 14, 28, -12, 0, -30, 0, 29, 28, -12, 28, 14, 0, -28, -28, 0, -42, 14, -28, 0, 0, -42, -28, -6, -36, -15, -48 ], [ 9, 18\
, -8, 0, -19, 0, 18, 19, -8, 18, 9, 0, -19, -18, -1, -28, 10, -18, 1, 1, -28, -18, -5, -24, -11, -31 ], [ 6, 12, -6, 0, -12, 0, 12, 12, -5, 12, 6, 0, -12,\
 -12, 0, -18, 6, -12, 0, 0, -18, -12, -3, -16, -6, -21 ], [ 2, 4, -2, 0, -4, 0, 4, 4, -2, 5, 2, 0, -5, -4, 0, -7, 3, -4, 1, 0, -7, -4, -2, -7, -3, -7 ], [\
 -2, -4, 2, 0, 4, 0, -4, -4, 2, -4, -1, 0, 4, 4, 0, 6, -2, 4, 0, 0, 6, 4, 1, 4, 2, 7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ -2, -4, 2, 0, 4, 0, -4, -4, 2, -4, -2, 0, 4, 5, -2,\
 6, -2, 4, 0, 2, 6, 4, 1, 5, 2, 7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 2, 4, -2, 0, \
-4, 0, 4, 4, -2, 4, 2, 0, -4, -4, 0, -6, 2, -3, 0, 0, -6, -4, -1, -5, -2, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1,\
 -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -46\
, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -46, -174, -60, -88, -77, 15, -17, -12, -21, -26, -1, -3, -10, 5, -10, 18, -2 ], [ -20, -60, -2\
8, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -88, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -77, -33, -48, -42, 10\
, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 15, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -17, -1, 0, -5, -2, -12, -8, -8, -6, -5\
, -8, -8, 2, -6, 0, -2 ], [ 0, -12, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -21, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -\
4, 2, 0 ], [ -4, -26, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -\
3, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -10, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 5, 0, 0, 0, 2, 2, 2, 0\
, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -10, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 18, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0\
 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 10, 0, 8, -8, -4, -4, 0 ], [\
 0, 10, -8, 2, -4, 4, 2, 2, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 8, -4, 2, -8, 6, 2, 2, 0 ], [ 0, -8, 4, 0, 6, -8, 0, -2, 0 ], [ 0, -4, 2, 0, 2, 0, -\
4, 0, 0 ], [ 0, -4, 2, 0, 2, -2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, -1, -1, -1, 0 ], [ \
0, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, -1, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 2, -8, 4, 2, 4, 0, 4, 2, 1, -7, -8, 0, -11, 2, -7, 1, 0, -8,\
 -9, -4, -9, -1, -8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 1, 0, 1, -9, 0, 0, 0,\
 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, \
0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1\
, -1, 0 ], [ 0, -4, 2, 0, 0, 0, -4, 8, -4, 0, 0, 0, -4, -2, 0, -2, 0, -4, 0, 0, 4, 2, 2, 4, -3, -2 ], [ -2, 2, -1, 1, 0, 0, 2, -4, 2, 0, 1, 0, 2, 1, 0, 1,\
 -1, 2, 0, 0, -2, -1, -1, -2, 2, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 2, -4, 1, \
0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, 1, 3 ], [ 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -1, -3 ], [ 0, 0, 0, 0\
, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, \
0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 6, 3, 8, 12, 10, 7, 5, 3, 2, 1 ], rlifts := [\
 [ 0, 2, -1, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, -2, 0, -2, 0, -1, 0, 0, -1, -2, -1, -1, 0, -1 ], [ 0, 2, -1, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, -2, 0, -2, 0, -1\
, 0, 0, -1, -1, -1, -1, 0, -1 ] ], rootsQ := [ [ 0, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, -1, -1, -1, 0 ], [ 0, -1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, -2, 1,\
 1, 1, 0 ], [ 0, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, -1, -2, -1, 0 ], [ 0, -1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, -2, 1, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -2,\
 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1,\
 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1\
, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1\
, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ\
 := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 20, 14, 10, 6, 4, 2 ], [ \
-6, -3, -7, -12, -10, -7, -5, -3, -2, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -8, -12, -9, -7, -5, -3, -2, -1 ], [ 6, 3, 8, 12, 10, 8, 5, 3, 2, \
1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 3, 8, 12, 10, 7, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde\
 := [ [ 1, 12, -4, 0, -8, 6, 0, 6, 2, 0, 0, 0, -6, -12, 0, -12, 0, -6, 0, 0, -6, -9, -5, -7, 0, -5 ], [ 0, 7, -2, 0, -4, 3, 0, 3, 1, 0, 1, 0, -3, -7, 0, -\
7, 1, -3, 1, 2, -4, -7, -4, -6, -1, -4 ], [ 0, 16, -5, 0, -10, 8, 0, 8, 2, 0, 0, 0, -8, -16, 0, -16, 0, -8, 0, 0, -8, -12, -7, -9, -1, -7 ], [ 0, 24, -8, \
1, -16, 12, 0, 12, 4, 0, 0, 0, -12, -24, 0, -24, 0, -12, 0, 0, -12, -18, -10, -14, 0, -10 ], [ 0, 20, -6, 0, -13, 10, 0, 10, 4, 0, 0, 0, -10, -20, 0, -20,\
 0, -10, 0, 0, -10, -15, -8, -12, -1, -8 ], [ 0, 14, -4, 0, -10, 8, 0, 7, 3, 0, 1, 0, -8, -15, 0, -15, 1, -7, 1, 1, -8, -13, -7, -10, -2, -6 ], [ 0, 10, -\
3, 0, -7, 5, 1, 5, 2, 0, 0, 0, -5, -10, 0, -10, 0, -5, 0, 0, -5, -7, -4, -6, -1, -4 ], [ 0, 6, -2, 0, -4, 3, 0, 4, 1, 0, 1, 0, -4, -7, 0, -7, 1, -3, 1, 1,\
 -4, -6, -4, -5, -2, -3 ], [ 0, 4, -2, 0, -2, 2, 0, 2, 1, 0, 0, 0, -2, -4, 0, -4, 0, -2, 0, 0, -2, -3, -2, -3, 0, -2 ], [ 0, 2, -1, 0, -1, 1, 0, 1, 0, 1, \
0, 0, -2, -2, 0, -3, 1, -1, 1, 0, -2, -3, -2, -3, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -3, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -53, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -53, -248, -72, -106, -95, 22, -22, -14, -30, -30, 1\
, -5, -16, 4, -12, 22, -2 ], [ -20, -72, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -106, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, \
0, 0, 12, 0 ], [ -24, -95, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 22, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], \
[ 0, -22, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -14, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -30, -4, \
-6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -30, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 1, 3, 6, 2, -2, -5, -3, \
-3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8,\
 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 22, 8, 12,\
 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, \
0 ], [ 0, -20, 10, 0, 8, -16, 0, 4, 4 ], [ 0, 10, -8, 2, -4, 8, 0, -2, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 8, -4, 2, -8, 10, 0, -2, -2 ], [ 0, -16,\
 8, 0, 10, -20, 2, 4, 4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 4, -2, 0, -2, 4, 2, -4, 0 ], [ 0, 4, -2, 0, -2, 4, 0, 0, -4 ] ], Sigma := [ [ 1, 1, -2, 0,\
 -1, 1, 0, -1, 0, -2, 1, 0, 1, -1, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 2, -14, 10, 2, 2, 4, 4, 6, 1, -9, -12, 0, -15, 6, -13, 1, 0, -10, -14, \
-8, -17, -1, -12 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, -10, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, \
-1, 0 ], [ 2, -4, 2, 0, -2, 0, 0, 4, -4, 4, 2, 0, -4, 0, 0, -2, 2, -4, 0, 0, 0, 0, 2, 0, -3, -4 ], [ -3, 2, -1, 1, 1, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 1, -\
2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -\
2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 1, 4 ], [ 2, 0, 0, 0, 0, -4, 2, 4, -4, 4, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, -3, 0, 1, -2, -2, -7 ], [ 0, 0, 0, 0\
, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1,\
 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 6, 3, 8, 12, 10, 7, 6, 5, 4, 2 ], rlifts := [ [ 1, 2,\
 -2, 0, -1, 2, 0, 0, 0, 0, 1, 0, -1, -2, 0, -2, 1, -2, 0, 0, -1, -2, -2, -2, 0, -2 ] ], rootsQ := [ [ 1, 1, -1, 0, -2, 0, 0, -1, -1, -2, 1, 0, 2, -1, -1, \
-2, 0 ], [ -1, -1, 1, 0, 2, 0, 0, 1, 1, 2, -1, 0, -2, 1, 1, 2, 0 ], [ 1, 1, -2, 0, -1, 1, 0, -1, 0, -2, 1, 0, 1, -1, -2, -2, 0 ], [ -1, -1, 2, 0, 1, -1, 0\
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], [ 1, 1, -1, 0, -2, 2, 0, -1, 1, -2, 1, 0, 1, -1, -3, -3, 0 ], [ -1, -1, 1, 0, 2, -2, 0, 1, -1, 2, -1, 0, -1, 1, 3, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -\
1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0\
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, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0\
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0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, \
0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [\
 "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 20, 14, 12, 10, 8, 4 ], [ -6, -3, -7, -12, -10, \
-7, -6, -5, -4, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -8, -12, -9, -7, -6, -5, -4, -2 ], [ 12, 6, 16, 24, 20, 15, 12, 10, 8, 4 ], [ 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -6, -3, -8, -12, -10, -7, -6, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [\
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 -10, -1, -11, 6, -10, 1, 2, -6, -11, -8, -15, -1, -8 ], [ 14, 28, -11, 0, -30, 28, 0, 0, 16, 0, 14, 0, -14, -28, 0, -28, 14, -28, 0, 0, -14, -28, -20, -3\
6, -1, -20 ], [ 22, 44, -18, 1, -48, 44, 0, 0, 26, 0, 22, 0, -22, -44, 0, -44, 22, -44, 0, 0, -22, -44, -31, -57, 0, -31 ], [ 18, 36, -14, 0, -39, 36, 0, \
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, 1, 1, -14, -26, -19, -35, -2, -18 ], [ 10, 20, -8, 0, -22, 20, 1, 0, 12, 0, 10, 0, -10, -20, 0, -20, 10, -20, 0, 0, -10, -20, -14, -26, -1, -14 ], [ 7, \
14, -6, 0, -15, 14, 0, 1, 8, 0, 7, 0, -8, -14, -1, -15, 8, -14, 1, 1, -8, -14, -11, -19, -2, -10 ], [ 4, 8, -4, 0, -8, 8, 0, 0, 5, 0, 4, 0, -4, -8, 0, -8,\
 4, -8, 0, 0, -4, -8, -6, -11, 0, -6 ], [ 2, 4, -2, 0, -4, 4, 0, 0, 2, 1, 2, 0, -3, -4, 0, -5, 3, -4, 1, 0, -3, -4, -4, -7, -1, -3 ], [ -2, -4, 2, 0, 4, -\
4, 0, 0, -2, 0, -1, 0, 2, 4, 0, 4, -2, 4, 0, 0, 2, 4, 3, 4, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1 ], [ 0\
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, 3, 5, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0\
, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 2, 4, -2, 0, -4, 4, 0, 0, 2, 0, 2,\
 0, -2, -4, 0, -4, 2, -3, 0, 0, -2, -4, -3, -5, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -16, -20, -30, -24, 6, 0, \
0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -16, -76, -18, -28, -29, 2, -20, -12, -20, -24, -9, -13, -16, 2, -12, 4, 2 ], [ -20, -18, -28, -40, -33, 8, -1, -1, -4\
, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -28, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -29, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4\
, 0, -2, 10, -2 ], [ 6, 2, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -20, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [\
 0, -12, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -20, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -24, -3, -\
6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5\
, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 \
], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 4, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 2, -2, 0, -2, 0, -\
2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, 0, 0, 0, 0, 0, -2 ], [ 0, 8, -20, 4, 0, 0, 0, 0, 2 ], \
[ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4,\
 2 ], [ 0, -2, 2, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, 1, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -\
2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -\
1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 2, -6,\
 2, 2, 2, 0, 12, 2, 1, -9, -8, 0, -15, 2, -5, 1, 0, -14, -14, -6, -15, 1, -14 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0\
, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ],\
 [ -4, 4, -2, 2, 0, 0, 0, 0, 2, -4, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, -1, 2, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2\
, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2,\
 -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ]\
 ], r := [ 6, 3, 8, 12, 10, 8, 6, 4, 2, 0 ], rlifts := [ [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -2, 0, 0, 0, 0, -2, -2, -1, -2, 0, -2 ] ], root\
sQ := [ [ 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2 ], [ 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2 ], [ 0, 1, -1, 0, 0, 0, 0, \
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[ 0, -16, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -10, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -22, -4, \
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0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 6, 3, 8, 12, 10, 8, 6, 4, 4, 2 ], rlifts := [ [ 1, 2, -1, 0, -1,\
 0, 0, 2, 0, 0, 1, 0, -1, -2, 0, -2, 1, -2, 0, 0, -1, -1, -1, -2, -1, -3 ] ], rootsQ := [ [ 1, 1, -1, 0, -1, 1, 0, -1, -1, -1, 0, -1, 2, 0, 0, -1, 1 ], [ \
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1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0,\
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"A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 20, 16, 12, 8, 8, 4 ], [ -6, -3, -7, -12, -10, -8, -6, \
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3, 1, 0, 7, 0, -7, -13, 0, -13, 7, -12, 1, 1, -7, -7, -7, -14, -5, -18 ], [ 4, 8, -4, 0, -4, 0, 0, 8, 1, 0, 4, 0, -4, -8, 0, -8, 4, -8, 0, 0, -4, -4, -4, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -26, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, \
0 ], [ -26, -100, -35, -52, -50, 13, -18, -10, -24, -22, -4, -10, -16, -2, -9, 10, 0 ], [ -20, -35, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2\
 ], [ -30, -52, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -50, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 13\
, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -18, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -10, -1, 0, -3, -2, -\
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, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -4, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -10, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, \
-2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -9, 0, 0, -2, -2\
, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 10, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 0, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, \
0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 0, -4, 0, 2 ], [ 0, 2, -8, 2, 0, 2, -8, 2, 0 ], [ 2, 0, 2, -4, 2, 0, 0, \
0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 2, 0, 2, -4, 4, 0, 0 ], [ 0, -4, -8, 0, 0, 4, -20, 4, 2 ], [ 0, 0, 2, 0, 0, 0, 4, -4, 2 ], [ 0, 2, 0, 0, 0\
, 0, 2, 2, -4 ] ], Sigma := [ [ 1, 1, -1, 0, -1, 1, 0, -1, 0, -2, 1, 0, 1, -2, -2, -3, 0 ], [ 1, 1, -1, 0, -1, 1, 0, -1, 0, -2, 1, 0, 1, -3, -2, -3, 0 ], \
[ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, \
1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1\
, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0,\
 0, 0 ] ], adjweyl := [ 2, 8, -3, 2, -8, 2, 4, 2, 0, 8, 4, 1, -7, -6, 0, -11, 4, -7, 1, 0, -11, -10, -4, -13, -1, -12 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, \
0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 1, 0, -6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -3 ], [ 0, 0, 1\
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], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2,\
 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 2, -4, 2, 0, 0, 1, 0, -2, -3, 0, -3, -1, -2, 0, 0, 1, -2, -2, -1, 1, -2 ], [ 2, 0, 0, -1, 0, 0,\
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 [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 4, -8, 4, -2, 4, 0, 0, -6, -4, 0, -6, 0, -4, 0, 0, \
2, -4, -2, -1, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1\
, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 6, 3, 8, 12, 10, 8, 6, 5, 4, 1 ], rlifts := [ [ 1, 2, -1, 0, -1, 0, 1, 0, 0, 2, 1, 0, -1, -1, 0, -2, 1\
, -1, 0, 0, -2, -2, -1, -3, 0, -3 ], [ 1, 2, -1, 0, -1, 0, 1, 0, 0, 2, 1, 0, -1, -1, 0, -2, 1, -1, 0, 0, -3, -2, -1, -3, 0, -3 ] ], rootsQ := [ [ 1, 1, -1\
, 0, -1, 1, 0, -1, 0, -2, 1, 0, 1, -2, -2, -3, 0 ], [ -1, -1, 1, 0, 1, -1, 0, 1, 0, 2, -1, 0, -1, 2, 2, 3, 0 ], [ 1, 1, -1, 0, -1, 1, 0, -1, 0, -2, 1, 0, \
1, -3, -2, -3, 0 ], [ -1, -1, 1, 0, 1, -1, 0, 1, 0, 2, -1, 0, -1, 3, 2, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0\
, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1\
, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0,\
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, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 20, 16, 12, 10, 8, 2 ], [ -6, -3, -7, -12, -10, -8, -6, -5, -4, -1 ], [ 0, 0\
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 1, 0, 0 ], [ -12, -6, -16, -24, -20, -16, -12, -10, -7, -2 ], [ 12, 6, 16, 24, 20, 16, 12, 10, 8, 3 ] ], thegtilde := [ [ 11, 20, -8, 0, -12, 0, 10, 0, 2\
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18, -18, 0, 0, -45, -36, -16, -56, -1, -52 ], [ 14, 28, -11, 0, -17, 1, 14, 0, 3, 28, 15, 0, -15, -15, 0, -29, 15, -14, 1, 1, -35, -29, -14, -45, -2, -41 \
], [ 10, 20, -8, 0, -12, 0, 11, 0, 2, 20, 10, 0, -10, -10, 0, -20, 10, -10, 0, 0, -26, -20, -9, -31, -1, -29 ], [ 7, 14, -6, 0, -8, 0, 7, 1, 1, 14, 8, 0, \
-8, -8, 0, -15, 8, -7, 1, 1, -18, -15, -8, -23, -2, -21 ], [ 4, 8, -4, 0, -4, 0, 4, 0, 1, 8, 4, 0, -4, -4, 0, -8, 4, -4, 0, 0, -10, -8, -4, -13, 0, -12 ],\
 [ 1, 2, -1, 0, -1, 0, 1, 0, 0, 3, 1, 0, -2, -1, 0, -3, 2, -1, 1, 0, -3, -2, -2, -5, -1, -3 ], [ -2, -4, 2, 0, 2, 0, -2, 0, 0, -4, -1, 0, 2, 2, 0, 4, -2, \
2, 0, 0, 5, 4, 2, 5, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 0, 0, 2 ], [ -2, -4, 2, 0, 2, 0, -2, 0, 0, -4, 0, 0, 2, 1, 0, 4, -2, 2, 0, 2, 4, 2, 1, 5, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -1, -2, -2, -2, -2, -2 ], [ 0, 0,\
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2, -6, 0, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -38, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -38,\
 -134, -50, -73, -66, 14, -16, -10, -21, -21, -3, -7, -12, -2, -8, 14, -2 ], [ -20, -50, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, \
-73, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -66, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 14, 8, 12, 10\
, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -16, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -10, -1, 0, -3, -2, -8, -8, -4, \
-2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -21, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -21, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -\
6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -7, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ \
0, -12, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -8, 0, 0, -2, -2, -6, -4, -4\
, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4\
 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 4, -2, 4, 0, -4, 0, 0 ], [ 0, 4, -8, 0, -2, 0, 2, 2, -6 ], [ 2, -2, 0, -8, 4, 0, -2, 2, -6 ]\
, [ 0, 4, -2, 4, -8, 2, 4, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 2, -2, 4, 2, -8, 2, 0 ], [ 0, 0, 2, 2, 0, 0, 2, -4, 4 ], [ 0, 0, -6, -6, 0, 0,\
 0, 4, -12 ] ], Sigma := [ [ 0, 1, -1, 1, -2, 0, 0, -1, 0, -2, 1, 0, 2, -3, -2, -2, 0 ], [ 0, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, -3, -2, -2, 0 ], [ 0\
, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, \
1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0\
, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0,\
 0 ] ], adjweyl := [ 0, 8, -3, 3, -9, 2, 6, 2, -1, 8, 2, 1, -7, -6, 0, -11, 3, -7, 1, 0, -12, -10, -2, -11, -1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0,\
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 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, \
0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 3, 0, 0, -1, -1, 0, 0\
, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, -1, -1, -1, -1, -3 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0,\
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, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, \
-2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 9, 5, 12, 18, 16, 12, 8, 6, 4, 1 ], rlifts := [ [ 0, 2, -1, 0, -1, 0, 2, 0, 0, 2, 0, 0, -1, -1\
, 0, -2, 0, -1, 0, 0, -3, -2, 0, -2, 0, -2 ], [ 0, 2, -1, 1, -2, 0, 2, 0, -1, 2, 0, 0, -1, -1, 0, -2, 1, -1, 0, 0, -3, -2, 0, -2, 0, -2 ] ], rootsQ := [ [\
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, 0, 0, 2, -3, -2, -2, 0 ], [ 0, -1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, -2, 3, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0,\
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1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, \
0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 11, 24, 36, 32, 24, 16, 12, 8, 2 ], [ -9, -5, -11, -18, -16, -12, -8, -6, -4, -1 ]\
, [ 9, 5, 12, 19, 16, 12, 8, 6, 4, 1 ], [ -18, -10, -24, -36, -31, -24, -16, -12, -8, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 18, 10, 24, 36, 32, 24, 17\
, 12, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -9, -5, -12, -18, -16, -12, -8, -6, -3, -1 ], [ 18, 10, 24, 36, 32, 24, 16, 12, 8, 3 ] ], thegtilde := [\
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 -27 ], [ 0, 44, -18, 10, -35, 0, 44, 0, -5, 44, 0, 0, -22, -22, 0, -44, 9, -22, 0, 0, -66, -44, 2, -46, 0, -42 ], [ 0, 36, -14, 8, -29, 0, 36, 0, -4, 36,\
 0, 0, -18, -18, 0, -36, 8, -18, 0, 0, -54, -36, 2, -38, -1, -34 ], [ 0, 28, -11, 5, -22, 1, 28, 0, -2, 28, 1, 0, -15, -15, 0, -29, 6, -14, 1, 1, -43, -29\
, 0, -31, -2, -27 ], [ 0, 18, -7, 4, -15, 0, 19, 0, -2, 18, 0, 0, -9, -9, 0, -18, 4, -9, 0, 0, -27, -18, 1, -19, -1, -17 ], [ 0, 16, -7, 3, -12, 0, 16, 1,\
 -2, 16, 1, 0, -9, -9, 0, -17, 4, -8, 1, 1, -25, -17, -1, -18, -2, -16 ], [ 0, 8, -4, 2, -6, 0, 8, 0, -1, 8, 0, 0, -4, -4, 0, -8, 2, -4, 0, 0, -12, -8, 0,\
 -9, 0, -8 ], [ 0, 4, -2, 1, -3, 0, 4, 0, -1, 5, 0, 0, -3, -2, 0, -5, 2, -2, 1, 0, -7, -4, -1, -6, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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 -2, -2 ], [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 2, -1, -1, 0, 0, 2, 0, 1, 2, 0, 0, -1, -1, 0, -2, -1,\
 0, 0, 0, -3, -2, 0, -2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, -1, 2, 0, -2, 0, 1, -2, 0, 0, 1, 1, 0, 2, -1, 1, 0, 0, 3, 2, 1, 2, 0, 2 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ],\
 [ 0, 2, -1, 1, -2, 0, 2, 0, -1, 2, 0, 0, -1, -1, 0, -2, 1, -1, 0, 0, -3, -2, 0, -2, 0, -1 ] ] ), rec( GramQ := [ [ -16, -13, -20, -30, -24, 6, 0, 0, -3, \
-4, 2, 3, 0, 0, 0, 6, 0 ], [ -13, -22, -16, -25, -22, 4, -6, -2, -9, -11, -1, -3, -6, 0, -4, 4, 2 ], [ -20, -16, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0\
, 0, 0, 8, -2 ], [ -30, -25, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -22, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, \
-2 ], [ 6, 4, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -6, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -2, -1, 0,\
 -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -9, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -11, -3, -6, -7, 2, -6, -2\
, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -3, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6,\
 0, -4, -2, -2 ], [ 0, -6, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -4, 0, 0, \
-2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 4, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2\
, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 10, -4, 4, 0, 0, 0, 0 ], [ 0, 10, -8, 4, -2, 0, 0, 0, 0 ], [ 2, -4, 4, -4, \
2, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, \
0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, -2, 0\
 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, \
-1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, \
0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0\
, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 3, -7, 2, 2, 2, 1, 4, 2, 1, -5, -6, 0, -9, 3, -7, 1, 0, -8, -8, -3, -10, 0, -9 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0\
, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 1\
, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 \
], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0\
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, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -2, -4, 2, 2, -4, 4, 0, 0, -2, 0, -2, 0, -2,\
 0, 0, 0, 0, -4, 0, 0, 2, 0, 4, 4, -1, 4 ], [ -1, 2, -1, 0, 2, -2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, -1, 2, 0, 0, -1, 0, -2, -2, 1, -2 ], [ 1, 0, 0, 0, -2, 2,\
 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, \
-1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, \
2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 3, 1, 4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, 2, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, \
-1, 0, 0, -1, -1, 0, -1, 1, -1 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0, 0, -1, -1, -1, -2, 0, -2 ] ], rootsQ := [ [ 0, 1, -1, 1, \
-1, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1 ], [ 0, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 1, 1, 1, -1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1\
, -2, 0 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, \
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, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 12, 7, 16, 24, 22, 16, 12, 8, 6, 2 ], rlifts := [ [ 0, 2, -1, 1, -3, 2, 0, 2, -1, 2, \
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, 5 ] ], thegtilde := [ [ 1, 32, -14, 16, -50, 32, 0, 32, -14, 32, 0, 0, -48, -48, 0, -64, 16, -64, 0, 0, -32, -48, 1, -33, -8, -47 ], [ 0, 19, -8, 9, -28\
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, -4, 2, -2, 6, -4, 0, -4, 2, -4, 0, 0, 6, 6, 0, 8, -2, 8, 0, 0, 4, 6, 1, 4, 1, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -6, 4, 0, 4, -2, 4, 0, 0, -6, -6, 0, -8, 2\
, -8, 0, 0, -4, -6, 0, -4, -1, -5 ] ] ), rec( GramQ := [ [ -16, -51, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -51, -280, -68, -100, -91, 1\
4, -30, -22, -31, -35, -3, -11, -18, 8, -18, 20, -2 ], [ -20, -68, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -100, -40, -60, -48, 1\
2, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -91, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 14, 8, 12, 10, -8, -2, -2, 3, 2, -\
2, -3, 0, 2, -2, -4, 0 ], [ 0, -30, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4\
, 0, -2 ], [ -3, -31, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -35, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2\
, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0,\
 -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 8, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2,\
 -4, 0, 0 ], [ 6, 20, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [\
 [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, -4, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 4, 0, 2, -8, 6, 0, \
0, 0 ], [ 0, -4, 0, 0, 6, -8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 1\
, 1, -1, 0, -2, 0, 0, -2, 1, -3, 1, 0, 2, -2, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
-1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 2, -14, 10, 2, 2, 0, 12, 2, 1, -13, -12, 0, -19, 6, -13, 1, \
0, -14, -18, -6, -17, -1, -14 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, -1\
1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1\
, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1\
, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1,\
 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0,\
 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0\
, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, \
0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 8, 4, 10, 16, 14, 10, 8, 6, 4, 1 ], \
rlifts := [ [ 1, 2, -1, 0, -2, 2, 0, 0, 0, 2, 0, 0, -2, -2, 1, -3, 1, -2, 0, -1, -2, -3, -1, -2, 0, -2 ] ], rootsQ := [ [ 1, 1, -1, 0, -2, 0, 0, -2, 0, -3\
, 1, 0, 3, -2, -3, -2, 0 ], [ -1, -1, 1, 0, 2, 0, 0, 2, 0, 3, -1, 0, -3, 2, 3, 2, 0 ], [ 1, 1, -1, 0, -2, 0, 0, -2, 1, -3, 1, 0, 2, -2, -3, -2, 0 ], [ -1,\
 -1, 1, 0, 2, 0, 0, 2, -1, 3, -1, 0, -2, 2, 3, 2, 0 ], [ 1, 1, -1, 0, -2, 0, 0, -2, -1, -3, 1, 0, 4, -2, -3, -3, 0 ], [ -1, -1, 1, 0, 2, 0, 0, 2, 1, 3, -1\
, 0, -4, 2, 3, 3, 0 ], [ 1, 1, -1, 0, -2, 0, 0, -2, 0, -3, 1, 0, 3, -2, -3, -3, 0 ], [ -1, -1, 1, 0, 2, 0, 0, 2, 0, 3, -1, 0, -3, 2, 3, 3, 0 ], [ 0, 0, 0,\
 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1,\
 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, \
0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, \
1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] \
], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 9, 20, 32, 28, 20, 16, 12, 8, 2 ], [ 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -8, -20, -32, -27, -20, -16, -12, -8, -2 ], [ 16, 8, 20, 32, 28, 21, 16, 12, 8, 2 ], \
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8, -4, -10, -16, -14, -10, -8, -6, -3, -1 ], [ 16, 8, 20, 32, 28, 20, 16, 12, 8, 3 \
] ], thegtilde := [ [ 11, 20, -8, 0, -22, 20, 0, 0, 2, 20, 0, 0, -20, -20, 0, -30, 10, -20, 0, 0, -20, -30, -9, -26, 0, -19 ], [ 6, 13, -5, 0, -13, 12, 0,\
 0, 1, 12, 1, 0, -12, -13, 0, -19, 7, -12, 1, 2, -13, -20, -7, -18, -1, -13 ], [ 14, 28, -11, 0, -30, 28, 0, 0, 2, 28, 0, 0, -28, -28, 0, -42, 14, -28, 0,\
 0, -28, -42, -13, -36, -1, -27 ], [ 22, 44, -18, 1, -48, 44, 0, 0, 4, 44, 0, 0, -44, -44, 0, -66, 22, -44, 0, 0, -44, -66, -20, -57, 0, -42 ], [ 18, 36, \
-14, 0, -39, 36, 0, 0, 4, 36, 0, 0, -36, -36, 0, -54, 18, -36, 0, 0, -36, -54, -16, -47, -1, -34 ], [ 14, 28, -11, 0, -31, 29, 0, 0, 3, 28, 1, 0, -29, -29\
, 0, -43, 15, -28, 1, 1, -29, -43, -14, -39, -2, -27 ], [ 10, 20, -8, 0, -22, 20, 1, 0, 2, 20, 0, 0, -20, -20, 0, -30, 10, -20, 0, 0, -20, -30, -9, -26, -\
1, -19 ], [ 8, 16, -7, 0, -17, 16, 0, 1, 1, 16, 1, 0, -17, -17, 0, -25, 9, -16, 1, 1, -17, -25, -9, -23, -2, -16 ], [ 4, 8, -4, 0, -8, 8, 0, 0, 1, 8, 0, 0\
, -8, -8, 0, -12, 4, -8, 0, 0, -8, -12, -4, -10, 0, -8 ], [ 1, 2, -1, 0, -2, 2, 0, 0, 0, 3, 0, 0, -3, -2, 0, -4, 2, -2, 1, 0, -3, -3, -2, -4, -1, -2 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2\
, 0, -2, -1, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 2, 0, 2, 2, -2, -2, -2, -3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 4, -2, 0, -4, 4, 0, 0\
, 0, 4, 0, 0, -4, -4, 0, -6, 2, -3, 0, 0, -4, -6, -2, -5, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -30, -20, -30, -24\
, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -30, -136, -40, -58, -55, 8, -24, -18, -23, -27, -5, -11, -14, 6, -14, 12, -2 ], [ -20, -40, -28, -40, -33, 8,\
 -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -58, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -55, -33, -48, -42, 10, -5, -3, -9, -\
7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 8, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -24, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6,\
 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -23, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4,\
 -27, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3,\
 -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -\
4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 12, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2\
, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, 0, 0, -4, 2 ], [ 0, 2, -4, 2, 0, 0,\
 0, 0, 0 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ 0, 4, 0, 4, -20, 4, 0, 4, -2 ], [ 0, 0, 0, 0, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, -4, 0, \
0, 4, 0, 2, -8, 4 ], [ 0, 2, 0, 0, -2, 0, 0, 4, -4 ] ], Sigma := [ [ 1, 1, -1, 0, -1, 0, -1, -1, -1, -2, 0, -1, 4, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 2,\
 -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0\
, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := \
[ 4, 12, -5, 2, -10, 2, 2, 10, -4, 12, 2, 1, -13, -12, 0, -19, 6, -13, 1, 0, -14, -14, -4, -15, -3, -20 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 2, -7, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0\
, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0\
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0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 4, -4, -4, -4, 2 ], [ 0, 6, -8, 6, -4, 4, 4, 4, -2 ], [ 2, -4, 6, -12, 4, -8, -6\
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, 6 ], [ 0, 2, -2, 4, 0, 4, 4, 6, -4 ] ], Sigma := [ [ 0, 1, -2, 1, -4, 2, -1, -3, -1, -5, 0, -1, 8, -4, -4, -4, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1,\
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 -4, 0, -4, 1, -5 ] ], rootsQ := [ [ 0, 1, -2, 1, -4, 2, -1, -3, -1, -5, 0, -1, 8, -4, -4, -4, 1 ], [ 0, -1, 2, -1, 4, -2, 1, 3, 1, 5, 0, 1, -8, 4, 4, 4, \
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0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ \
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, -8, -8, 0, -12, 2, -8, 0, 0, -10, -10, -3, -10, -1, -10 ] ] ), rec( GramQ := [ [ -16, -89, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -89,\
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8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -51, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -59, -3, -6, -7, 2, -6, -2, -8, -12, -3\
, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, \
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0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, -8, 8, -8, 0, -8, 16 ], [ 0, 18, -20, 10, -8, 8, 0, 8, -16 ], [ 2, -8, 10, -8, \
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, [ 0, 16, -16, 8, -8, 8, 0, 12, -28 ] ], Sigma := [ [ 0, 1, -2, 1, -3, 2, 0, -3, 1, -5, 1, 0, 4, -3, -4, -4, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1,\
 -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0\
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18, 10, 2, 10, 0, 12, 10, 1, -17, -20, 0, -27, 6, -21, 1, 0, -18, -22, -10, -25, -1, -26 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0\
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4, 0, 1, -2, 0 ] ], r := [ 14, 8, 20, 28, 24, 18, 14, 10, 8, 3 ], rlifts := [ [ 0, 4, -2, 1, -3, 2, 0, 2, 0, 2, 2, 0, -3, -4, 1, -5, 1, -4, 0, -1, -3, -4,\
 -2, -4, 0, -5 ] ], rootsQ := [ [ 0, 1, -2, 1, -3, 2, 0, -3, 0, -5, 1, 0, 5, -3, -4, -4, 0 ], [ 0, -1, 2, -1, 3, -2, 0, 3, 0, 5, -1, 0, -5, 3, 4, 4, 0 ], \
[ 0, 1, -2, 1, -3, 2, 0, -3, 1, -5, 1, 0, 4, -3, -4, -4, 0 ], [ 0, -1, 2, -1, 3, -2, 0, 3, -1, 5, -1, 0, -4, 3, 4, 4, 0 ], [ 0, 1, -2, 1, -3, 2, 0, -3, -1\
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[ 0, -1, 2, -1, 3, -2, 0, 3, 0, 5, -1, 0, -5, 3, 4, 5, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1\
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 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 56, 33, 80, 112, 96, 72, 56, 40, 32, 12 ], [ -56, -32, -79, -112, -96, -72, -56, -40, -32, -12 ], [ 28, 16, 40, 57, 48, 36, 28, 2\
0, 16, 6 ], [ -28, -16, -40, -56, -47, -36, -28, -20, -16, -6 ], [ 28, 16, 40, 56, 48, 37, 28, 20, 16, 6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 28, 16, 40\
, 56, 48, 36, 28, 21, 16, 6 ], [ -42, -24, -60, -84, -72, -54, -42, -30, -23, -9 ], [ 28, 16, 40, 56, 48, 36, 28, 20, 16, 7 ] ], thegtilde := [ [ 1, 88, -\
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0, -41, 0, -51, 11, -40, 1, 2, -31, -42, -21, -48, -1, -51 ], [ 0, 112, -53, 28, -86, 56, 0, 56, 2, 56, 56, 0, -84, -112, 0, -140, 28, -112, 0, 0, -84, -1\
12, -55, -127, -1, -139 ], [ 0, 176, -84, 45, -136, 88, 0, 88, 4, 88, 88, 0, -132, -176, 0, -220, 44, -176, 0, 0, -132, -176, -86, -200, 0, -218 ], [ 0, 1\
44, -68, 36, -111, 72, 0, 72, 4, 72, 72, 0, -108, -144, 0, -180, 36, -144, 0, 0, -108, -144, -70, -164, -1, -178 ], [ 0, 104, -49, 26, -81, 53, 0, 52, 3, \
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0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -8, 4, -2, 6, -4, 0, -4, 0, -4, -4, 0, 6, 8, 0, 10, -2, 8, 0, 0, 6, 8, 5, 9, 0, 10 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 8, -4,\
 2, -6, 4, 0, 4, 0, 4, 4, 0, -6, -8, 0, -10, 2, -8, 0, 0, -6, -8, -4, -9, 0, -9 ] ] ), rec( GramQ := [ [ -16, -87, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0\
, 0, 0, 6, 0 ], [ -87, -876, -112, -164, -153, 28, -56, -40, -60, -70, -13, -23, -36, 12, -32, 34, -4 ], [ -20, -112, -28, -40, -33, 8, -1, -1, -4, -3, 3,\
 3, 0, 0, 0, 8, -2 ], [ -30, -164, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -153, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -\
2, 10, -2 ], [ 6, 28, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -56, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -\
40, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -60, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -70, -3, -6, -7\
, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -13, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -23, 3, 6, 1, -3, -8, -5, -5, -3\
, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -36, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 12, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], \
[ 0, -32, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 34, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2\
, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 8, 0, 6, 0, 0, 0, 4 ], [ 0, 8, -40, -16, -36, -18, 0, -12,\
 -42 ], [ 2, 0, -16, -16, -16, -12, 0, -8, -24 ], [ 0, 6, -36, -16, -40, -16, 0, -12, -42 ], [ 0, 0, -18, -12, -16, -16, 2, -8, -24 ], [ 0, 0, 0, 0, 0, 2,\
 -4, 2, 0 ], [ 0, 0, -12, -8, -12, -8, 2, -8, -16 ], [ 0, 4, -42, -24, -42, -24, 0, -16, -52 ] ], Sigma := [ [ 0, 1, -3, 1, -2, 1, 0, -4, 0, -6, 1, 0, 5, \
-4, -5, -4, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, \
0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -\
1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 6, -18, 10, 2, 10, -4, 20, 6, 1, -21, -20, 0, -31, 6, -21, 1, 0, -22, -26, -8, -25, -1, -28 ], embQ :=\
 [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 0, 2, -18, 4, 0, 0, 0, -3, 0, 0, 0, 0, 0, 1, 0, \
0, -4, 0, 0, -8 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -\
1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -4, 2, 0, 0, \
0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ 1, 2, -1, 1, -3, 0, 0, 6, 0, -6, 4, 0, 0, -4, 0, -1, 2, -6, 0, 0, 2, 2, -1, -1, -2, \
-4 ], [ 4, 0, 0, -1, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -3, 0, 0, 0, 0, -1, -1, -2, -4 ], [ 2, 0, 0, 1, -5, 2, 0, 6, -1, -6, 2, 0, -1, -4, 0, -1,\
 3, -8, 0, 0, 3, 2, 1, 1, -3, -2 ], [ 2, 0, 0, 0, 0, -4, 2, 4, -2, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, -1, 2, 1, -1, -2, -5 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0,\
 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, -1, 0, 0, -2, -1, -2 ], [ 4, \
0, 0, 0, -4, 0, 0, 8, -2, -4, 4, 0, -2, -4, 0, -2, 4, -8, 0, 0, 2, 2, 0, -1, -4, -6 ] ], r := [ 16, 9, 22, 32, 28, 21, 16, 11, 8, 2 ], rlifts := [ [ 0, 4,\
 -3, 1, -2, 2, 0, 2, -2, 4, 1, 0, -4, -4, 0, -6, 1, -4, 0, 0, -4, -5, -2, -4, 0, -6 ] ], rootsQ := [ [ 0, 1, -2, 1, -3, 0, 0, -4, -1, -6, 1, 0, 6, -4, -4,\
 -4, 0 ], [ 0, -1, 2, -1, 3, 0, 0, 4, 1, 6, -1, 0, -6, 4, 4, 4, 0 ], [ 0, 1, -3, 1, -2, 1, 0, -4, 0, -6, 1, 0, 5, -4, -5, -4, 0 ], [ 0, -1, 3, -1, 2, -1, \
0, 4, 0, 6, -1, 0, -5, 4, 5, 4, 0 ], [ 0, 1, -1, 1, -4, 1, 0, -4, 0, -6, 1, 0, 6, -4, -5, -5, 0 ], [ 0, -1, 1, -1, 4, -1, 0, 4, 0, 6, -1, 0, -6, 4, 5, 5, \
0 ], [ 0, 1, -2, 1, -3, 2, 0, -4, 1, -6, 1, 0, 5, -4, -6, -5, 0 ], [ 0, -1, 2, -1, 3, -2, 0, 4, -1, 6, -1, 0, -5, 4, 6, 5, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1,\
 -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1,\
 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1\
, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0\
, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ :=\
 [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 64, 37, 88, 128, 112, 84, 64, 44, 32, 8 ], [ -48, -27, -65, -\
96, -84, -63, -48, -33, -24, -6 ], [ 32, 18, 44, 65, 56, 42, 32, 22, 16, 4 ], [ -48, -27, -66, -96, -83, -63, -48, -33, -24, -6 ], [ 32, 18, 44, 64, 56, 4\
3, 32, 22, 16, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 32, 18, 44, 64, 56, 42, 32, 23, 16, 4 ], [ -48, -27, -66, -96, -84, -63, -48, -33, -23, -6 ], [ 64\
, 36, 88, 128, 112, 84, 64, 44, 32, 9 ] ], thegtilde := [ [ 1, 88, -42, 22, -68, 44, 0, 44, -20, 88, 22, 0, -88, -88, 0, -132, 22, -88, 0, 0, -88, -110, -\
32, -100, 0, -120 ], [ 0, 45, -21, 11, -34, 22, 0, 22, -10, 44, 11, 0, -44, -44, -1, -67, 12, -44, 1, 2, -45, -56, -17, -52, -1, -61 ], [ 0, 112, -53, 28,\
 -86, 56, 0, 56, -26, 112, 28, 0, -112, -112, 0, -168, 28, -112, 0, 0, -112, -140, -41, -127, -1, -153 ], [ 0, 176, -84, 45, -136, 88, 0, 88, -40, 176, 44\
, 0, -176, -176, 0, -264, 44, -176, 0, 0, -176, -220, -64, -200, 0, -240 ], [ 0, 144, -68, 36, -111, 72, 0, 72, -32, 144, 36, 0, -144, -144, 0, -216, 36, \
-144, 0, 0, -144, -180, -52, -164, -1, -196 ], [ 0, 108, -51, 27, -84, 55, 0, 54, -24, 108, 27, 0, -109, -108, -1, -163, 28, -108, 1, 1, -109, -135, -40, \
-124, -2, -147 ], [ 0, 80, -38, 20, -62, 40, 1, 40, -18, 80, 20, 0, -80, -80, 0, -120, 20, -80, 0, 0, -80, -100, -29, -91, -1, -109 ], [ 0, 60, -29, 15, -\
46, 30, 0, 31, -14, 60, 15, 0, -61, -60, -1, -91, 16, -60, 1, 1, -61, -75, -23, -69, -2, -82 ], [ 0, 32, -16, 8, -24, 16, 0, 16, -7, 32, 8, 0, -32, -32, 0\
, -48, 8, -32, 0, 0, -32, -40, -12, -37, 0, -44 ], [ 0, 16, -8, 4, -12, 8, 0, 8, -4, 17, 4, 0, -17, -16, 0, -25, 5, -16, 1, 0, -17, -20, -7, -20, -1, -22 \
], [ 0, -8, 4, -2, 6, -4, 0, -4, 2, -8, -1, 0, 8, 8, 0, 12, -2, 8, 0, 0, 8, 10, 3, 8, 0, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 2, 1, 0, 0, 1 ], [ 0, 8, -4, 2, -6, 4, 0, 4, -2, 8, 2, 0, -9, -8, 0, -12, 2, -8, 0, -2, -8, -8, -3, -9, 0, -9 ], [ 0, -8, 4, -2, 6, -4, 0, -4, 2, -\
8, -2, 0, 8, 9, -2, 12, -2, 8, 0, 2, 8, 10, 3, 9, 0, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 2, -2, -2, -2, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1\
, 0 ], [ 0, 8, -4, 2, -6, 4, 0, 4, -2, 8, 2, 0, -8, -8, 0, -12, 2, -7, 0, 0, -8, -10, -3, -9, 0, -11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -8, 4, -2, 6, -4, 0, -4\
, 2, -8, -2, 0, 8, 8, 0, 12, -2, 8, 0, 0, 8, 10, 4, 9, 0, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 8, -4, 2, -6, 4, 0, 4, -2, 8, 2, 0, -8, -8, 0, -12, 2, -8, 0, 0, -8, -10,\
 -3, -9, 0, -10 ] ] ), rec( GramQ := [ [ -20, -26, -36, -28, 6, -4, -2, -7, -4, 3, 2, 0, -4, 0, -2, 6, 0 ], [ -26, -36, -48, -39, 8, -5, -3, -8, -3, 4, 4,\
 0, -4, 0, -2, 8, -2 ], [ -36, -48, -68, -54, 12, -4, -2, -10, -6, 7, 4, 3, -4, 0, -2, 12, 0 ], [ -28, -39, -54, -46, 10, -1, -1, -5, -1, 7, 6, 4, 0, 0, 0\
, 10, -2 ], [ 6, 8, 12, 10, -8, -2, -2, 3, 2, -2, 0, -3, 0, 2, -2, -4, 0 ], [ -4, -5, -4, -1, -2, -12, -8, -8, -6, -5, -4, -8, -8, 2, -6, 0, -2 ], [ -2, -\
3, -2, -1, -2, -8, -8, -4, -2, -3, -2, -5, -4, 2, -4, 0, -2 ], [ -7, -8, -10, -5, 3, -8, -4, -10, -8, -3, -4, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -1, 2, \
-6, -2, -8, -12, -3, -6, -3, -6, 2, -4, 2, 2 ], [ 3, 4, 7, 7, -2, -5, -3, -3, -3, -6, -5, -5, -4, 0, -2, -2, -2 ], [ 2, 4, 4, 6, 0, -4, -2, -4, -6, -5, -8\
, -3, -4, 0, -2, 0, 0 ], [ 0, 0, 3, 4, -3, -8, -5, -5, -3, -5, -3, -8, -6, 0, -4, -2, -2 ], [ -4, -4, -4, 0, 0, -8, -4, -8, -6, -4, -4, -6, -8, 0, -4, 0, \
0 ], [ 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, -4, 2, 0, 0 ], [ -2, -2, -2, 0, -2, -6, -4, -4, -4, -2, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, -4, 0, 0,\
 2, 2, -2, 0, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, -2, -2, 0, 2, -2, 0, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 4, 2, 0, 0, 0, -2, -2 ], [ 0, \
-4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 2, 0, 0, 0, 2, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 2, 0, 0, 0, 2, -4, 0 ], [ -2, 0, 2, 0, 0, 0, 0, 0, -4 ] ], Sigma := [ [ -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1\
, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 0, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 1, 0, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, -1, -1, 0, -1, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1\
, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, -1, 0, 0, -1, 0,\
 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -2, 4, -1, 3, -6, 2, 2, 2, 0, 4, 2, 1, -5, -4, 0, -7, 0,\
 -4, 1, 0, -6, -6, -2, -6, 0, -5 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0,\
 -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0,\
 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
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0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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, 0, 0, 0, 1, 0 ] ], rootsQ := [ [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, \
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", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 3, 2, 4, 5, 4, 3, 2, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -4, -3, -2,\
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 [ -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0 ], [ -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0,\
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, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -37, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28,\
 -40, -33, -50, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -72, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -64,\
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, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -14, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -12, -2, -8, -8, -4, -2, -3, \
-5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -15, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -17, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4\
, 2, 2 ], [ 2, 3, 6, 2, 1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, \
-4, -6, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 6, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -8, -2, -6, -4, -4, -4, -2, -\
4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 16, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQ\
perp := [ [ -20, 0, 0, 4, 2, -2, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 2, 0, 0, 2, \
-4, 2, 0, 0, 0 ], [ -2, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma\
 := [ [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1\
, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0\
, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 1, 0, 0, -2, 1, 0, 0, -1, 0, -1, 0, 0, 2, 0, -1, 0, 0 ], [ -1, 0, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0\
, 2, 0, -1, 0, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4,\
 -1, 3, -10, 6, 2, 2, 0, 4, 2, 1, -7, -6, 0, -9, 2, -8, 1, 0, -6, -8, -2, -7, -1, -5 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1\
, 0, 2 ] ], r := [ 4, 3, 6, 9, 8, 5, 4, 3, 2, 1 ], rlifts := [ [ -1, 0, 0, 1, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 1 ], [ \
1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, \
2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, \
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0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ -1, 0, 0, 2, -1, 0, 0, 1, 0, 1, 0, 0, -2, 0, 1, 0, 0 ], [ 1, 0, 0, -2, 1, 0, 0, -1, 0, -1, 0, 0, 2, 0, -1, 0, 0 ], \
[ -1, 0, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0, 2, 0, -1, 0, 0 ], [ 1, 0, -1, 2, -1, 0, 0, 1, 0, 1, 0, 0, -2, 0, 1, 0, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0\
, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 5, 3, 6, 9, 8, 5, 4, 3, \
2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -18, -15, -10, -8, -6, -4, -2\
 ], [ 8, 6, 12, 18, 16, 11, 8, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 2, 0, 2, 2, -12, 10, 0, 0, 2, 0, 0, 0, -5, -5, 0, -5, 0, -7, 0, 0, 0, -5, 1, -1, 0, 3 ], [ 1, 1, 1, 2, -11, 10,\
 0, 0, 1, 0, 1, 0, -5, -6, 0, -6, 1, -7, 1, 2, -1, -7, -1, -3, -1, 1 ], [ 0, 0, 3, 3, -14, 12, 0, 0, 2, 0, 0, 0, -6, -6, 0, -6, 0, -9, 0, 0, 0, -6, 1, -1,\
 -1, 4 ], [ 0, 0, 4, 6, -24, 20, 0, 0, 4, 0, 0, 0, -10, -10, 0, -10, 0, -15, 0, 0, 0, -10, 2, -2, 0, 7 ], [ 1, 0, 4, 4, -21, 18, 0, 0, 4, 0, 0, 0, -9, -9,\
 0, -9, 0, -13, 0, 0, 0, -9, 2, -2, -1, 6 ], [ -1, 0, 3, 4, -17, 15, 0, 0, 3, 0, 1, 0, -8, -8, 0, -8, 1, -11, 1, 1, -1, -8, 0, -3, -2, 5 ], [ 0, 0, 2, 2, \
-10, 8, 1, 0, 2, 0, 0, 0, -4, -4, 0, -4, 0, -6, 0, 0, 0, -4, 1, -1, -1, 3 ], [ 1, 0, 1, 2, -11, 10, 0, 1, 1, 0, 1, 0, -6, -6, 0, -6, 1, -7, 1, 1, -1, -6, \
-1, -2, -2, 2 ], [ 0, 0, 0, 1, -4, 4, 0, 0, 1, 0, 0, 0, -2, -2, 0, -2, 0, -3, 0, 0, 0, -2, 0, -1, 0, 1 ], [ 2, 0, 0, 0, -4, 4, 0, 0, 0, 1, 0, 0, -3, -2, 0\
, -3, 1, -2, 1, 0, -1, -2, -1, -2, -1, 0 ], [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 1, 0, 0, 0, -2, 2, \
0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -2, 0, 2, 0, 0, 0, 1 ], [ \
1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, -1, -2, 0, -1, 0, -1, 0, 2, 0, -3, -1, -1, 0, -1 ], [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, -1, 0, \
2, 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 2, -2, 2, 2, -2, -3, -2, -2, -2, -1 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 0, 0, 0,\
 0, -1, -1, 0, -1, 1, -2, 0, 0, 0, -1, 0, -1, -1, 1 ], [ -3, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 2 ], [ 1, 0, 0,\
 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 1, 0, -1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 3, 0, 0, -1, -2, 2, 0, 0, 0\
, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -16, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -\
28, -40, -33, -22, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -30, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -33, -48, -42, -\
28, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -16, -22, -30, -28, -34, 6, -8, -8, -7, -9, -1, -1, -2, 4, -4, 8, -4 ], [ 6, 8, 12, 10, 6, -8, -2, -2\
, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -8, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -8, -2, -8, -8, -4, -2, -3, -5, -4\
, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -7, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -9, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ]\
, [ 2, 3, 6, 2, -1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -2,\
 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 4, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -4, -2, -6, -4, -4, -4, -2, -4, -4, \
2, -4, 0, 0 ], [ 6, 8, 12, 10, 8, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := \
[ [ -8, 0, 0, 2, 4, 0, 0, -6, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 2, 0,\
 6, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -6, 0, 0, 0, 6, 0, 2, -12, 4 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -4 ] ], Sigma := [ \
[ 1, 0, 0, -1, 1, 0, 0, -1, 0, -1, -1, 0, 2, 0, 0, 1, 0 ], [ -1, 0, 1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1\
, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,\
 -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 3\
, -8, 2, 2, 6, -2, 4, 2, 1, -7, -6, 0, -9, 2, -8, 1, 0, -6, -6, -1, -6, -2, -8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0\
, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, \
0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 1, 0, 0, -1, \
0, 0, 0, 2, -1, 2, 1, 0, -2, -1, 0, -2, 2, -2, 0, 0, -1, -1, 0, -2, -2, -3 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -\
1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 1, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, \
0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 2, 0, 0, 0, -\
2, 0, 2, 0, -2, 4, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, -3, -2, 0, -3, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0,\
 2 ] ], r := [ 4, 3, 6, 9, 8, 6, 4, 2, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 0, -1 ], [ -1,\
 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, -1, -1 ] ], rootsQ := [ [ 1, 0, 0, -1, 1, 0, 0, -1, 0, -1, -1, 0, 2, 0, 0, 1, \
0 ], [ -1, 0, 0, 1, -1, 0, 0, 1, 0, 1, 1, 0, -2, 0, 0, -1, 0 ], [ -1, 0, 1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1 ], [ 1, 0, -1, 1, -1, 0, 0, 1, 0,\
 1, -1, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1\
, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0\
 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0,\
 0, 0, 1, 0, 1, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 5, 3, 6, 9, 8, 6, 4, 2\
, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -4, -3, -6, -9, -7, -6, -4, -2, -2, -1 ]\
, [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 8, 6, 12, 18, 16, 12, 8, 5, 4, 2 ], [ -4, -3, -6, -9, -8, -6, -4, -2, -1, -1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 0, 0, 2, 3, -7, 0, 0, 10, -3, 0, 0, 0, -5, -5, 0, -5, 1, -8, 0, 0, 0, 0, 3, 1, -3, -4 ], [ -1, 1, 1, 3,\
 -6, 0, 0, 10, -4, 0, 1, 0, -5, -6, 0, -6, 2, -8, 1, 2, -1, -2, 1, -1, -4, -6 ], [ 0, 0, 3, 3, -8, 0, 0, 12, -4, 0, 0, 0, -6, -6, 0, -6, 0, -9, 0, 0, 0, 0\
, 4, 2, -4, -5 ], [ 0, 0, 4, 6, -14, 0, 0, 20, -6, 0, 0, 0, -10, -10, 0, -10, 0, -15, 0, 0, 0, 0, 7, 3, -5, -8 ], [ -1, 0, 4, 5, -12, 0, 0, 18, -5, 0, 0, \
0, -9, -9, 0, -9, 1, -14, 0, 0, 0, 0, 6, 2, -6, -7 ], [ 0, 0, 3, 4, -11, 1, 0, 16, -5, 0, 1, 0, -9, -9, 0, -9, 1, -12, 1, 1, -1, -1, 4, 1, -6, -7 ], [ 0, \
0, 2, 2, -6, 0, 1, 8, -2, 0, 0, 0, -4, -4, 0, -4, 0, -6, 0, 0, 0, 0, 3, 1, -3, -3 ], [ 0, 0, 1, 2, -5, 0, 0, 9, -3, 0, 1, 0, -5, -5, 0, -5, 1, -6, 1, 1, -\
1, -1, 1, 0, -4, -4 ], [ 0, 0, 0, 1, -2, 0, 0, 4, -1, 0, 0, 0, -2, -2, 0, -2, 0, -3, 0, 0, 0, 0, 1, 0, -1, -2 ], [ 0, 0, 0, 1, -2, 0, 0, 4, -2, 1, 0, 0, -\
3, -2, 0, -3, 1, -3, 1, 0, -1, 0, 0, -1, -2, -2 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 1, 0, -1, -1, 0, -1, 1, -2, 0, 0, 0, 0, 0, -1, -1, -1 ], [ -1, 0, 0,\
 1, -1, 0, 0, 2, -1, 0, 0, -1, -1, -1, 0, -1, 1, -2, 0, 0, 0, 2, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0\
, 0, 2 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 2, 0, -1, -2, 0, -1, 1, -2, 0, 2, 0, -2, -1, -1, -1, -2 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, -\
1, -1, 1, -2, 0, 2, 0, 0, 0, 0, -1, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -2, 1, -1, 2, 2, -2, -2, -1, -1, -2, -3 ], [ 1, 0, 0, 0, -1, \
0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0,\
 -1 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, 1, -2, 1, 0, 0, 0, 0, -1, -2, -1 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1,\
 1, -2, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, 1, -2, 0, 0, 0, 0, 1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -1,\
 0, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, -1, 0 ] ] ), rec( GramQ := [ [ -16, -20, -30, -25, 6, -1, 1, -4, -5, 1, 2, -1,\
 0, 0, -2, 6, 0 ], [ -20, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 0, 12, 0 ], \
[ -25, -33, -48, -42, 10, -3, 1, -7, -7, 1, 2, -2, 0, 0, -4, 10, -2 ], [ 6, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, 0, -4, 0 ], [ -1, -1, 0, -3, -2\
, -8, -2, -4, -4, -4, -5, -4, 2, -4, -4, 0, -2 ], [ 1, -1, 0, 1, -2, -2, -8, 2, 4, 2, 0, 2, 2, -2, 4, 0, -2 ], [ -4, -4, -6, -7, 3, -4, 2, -6, -6, -2, -2,\
 -4, 0, -2, -4, 2, 0 ], [ -5, -3, -6, -7, 2, -4, 4, -6, -12, -4, -2, -4, 2, -2, -6, 2, 2 ], [ 1, 3, 6, 1, -2, -4, 2, -2, -4, -8, -5, -3, 0, 0, -6, -2, -2 \
], [ 2, 3, 6, 2, -3, -5, 0, -2, -2, -5, -6, -3, 0, -2, -4, -2, -2 ], [ -1, 0, 0, -2, 0, -4, 2, -4, -4, -3, -3, -4, 0, -2, -4, 0, 0 ], [ 0, 0, 0, 0, 2, 2, \
2, 0, 2, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, -2, -4, -2, -2, -2, 0, -2, -2, 2, -4, 0, 0, 0 ], [ -2, 0, 0, -4, 0, -4, 4, -4, -6, -6, -4, -4, 0, 0, -8,\
 0, 0 ], [ 6, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8,\
 0, -4, 8, -2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 8, -2, 0, 0, 0, 0 ], [ 8, 0, 8, -12, 4, 0, 0, 0, 0 ], [ -2, 0, -2, 4, -4, 2, 0, \
0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, \
0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -1,\
 -1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -1 ], [ 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, -2, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1\
, 0 ], [ 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], adjweyl := [ 2, 4, -1, 1, -6, 2\
, 2, 2, 0, 4, 2, 1, -5, -4, 0, -7, 2, -4, 1, 0, -6, -6, -3, -7, -1, -6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 1, 0, 0, -2, 3, -2, 0, 0, 2, 0, \
1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, -1, -2, -1, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -1, 2, -1, 0, \
2, -2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, -1, 2, 0, 0, -1, 0, -2, -2, 1, -2 ], [ 0, 0, 0, 1, -4, 4, 0, 0, -2, 0, -2, 0, -2, -2, 0, -2, 0, -3, 0, 0, 0, -2, 1, 2\
, 0, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2\
, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0\
, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, \
1, -1, -1, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 1, 1, 1, 2 ], [ 0,\
 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 1, 1, 2, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -1, -1, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1\
, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -1 ], [ 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 1, -1, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 -1 ], [ 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, -1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0 ], [ 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, -1, 0, 1,\
 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ]\
 ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 0, 0, 3, -\
1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1 ], [ 2, 1, 3, -4, 1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1, 1, 2, 1, 2, -1, -2, -3, -3,\
 -3, -1 ], [ 0, 0, 3, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1 ], [ 0, 0, 6, -2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 1, -2, -2, 2 ], [ 1, 0, 5, -2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -2, -2, 2 ], [ 2, 0, 5, -4, -1, 1, 0, 0, 3, 0, 1, 0, \
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], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, -2, -2, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, -1, -1, -1, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, -1, 1 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
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 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -2, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, \
-1, 0, -1, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, -2, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 1, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 3, 0, 1, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -1, 0, 1, -1\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ] ] ), rec( GramQ := [ [ -16, -73, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0\
 ], [ -73, -544, -94, -136, -126, 26, -40, -30, -44, -52, -9, -13, -24, 10, -22, 30, -6 ], [ -20, -94, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8,\
 -2 ], [ -30, -136, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -126, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ \
6, 26, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -40, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -30, -1, 0, -3, \
-2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -44, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -52, -3, -6, -7, 2, -6, -2, -8\
, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0,\
 -4, -2, -2 ], [ 0, -24, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 10, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -22, 0, 0, \
-2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, \
-2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, 4, -16, 8, -20, 6, 0, 4, -2 ], [ 4, -8, 14, -4, 12, -4, 0, -4, 2 ], [ -16, 14, -44, 16, -44, 14, 0, 12, -6 ]\
, [ 8, -4, 16, -8, 16, -4, 0, -4, 2 ], [ -20, 12, -44, 16, -52, 16, 0, 12, -6 ], [ 6, -4, 14, -4, 16, -8, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 4,\
 -4, 12, -4, 12, -4, 2, -8, 4 ], [ -2, 2, -6, 2, -6, 2, 0, 4, -4 ] ], Sigma := [ [ -1, 1, -2, 3, -4, 1, 0, -3, 0, -4, 0, 0, 5, -2, -3, -2, 1 ], [ -1, 1, 0\
, 0, -2, 1, 0, -3, 0, -4, 0, 0, 4, -2, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1\
, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -2, 8, -3, 5, -12, 6, 2, 6, -2, 8, 4, 1, -11, -10, 0, -15, 2, -12, 1, 0, -10,\
 -12, -3, -11, -1, -12 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 2, -14, 2, 0\
, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0,\
 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0,\
 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ -1, 0, 0, 0, -1, 2, 0, 0, 2, -4, -1, 0, 1, -1, 0, 1, 1, -2, 0, 0, 2,\
 1, 1, 1, -1, 3 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -3, 2, -1, 2, -2, 2, 0, 0, 5, -12, 0, 0, 5, -2,\
 0, 4, -1, -2, 0, 0, 5, 4, 0, 3, 1, 6 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -2, 0, 0, 2, -4, 4, \
0, 0, 4, -12, -2, 0, 4, -2, 0, 4, 0, -4, 0, 0, 6, 4, 2, 5, 0, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], \
[ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -\
3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 12, 8, 18, 25, 22, 16, 12, 8, 6, 2 \
], rlifts := [ [ -1, 2, -2, 3, -4, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -4, 0, -4, 0, 0, -2, -3, 0, -2, 1, -3 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, \
-3, 0, -4, 0, -3, 0, 0, -2, -3, -1, -2, -1, -3 ] ], rootsQ := [ [ -1, 1, -2, 3, -4, 1, 0, -3, 0, -4, 0, 0, 5, -2, -3, -2, 1 ], [ 1, -1, 2, -3, 4, -1, 0, 3\
, 0, 4, 0, 0, -5, 2, 3, 2, -1 ], [ -1, 1, 0, 0, -2, 1, 0, -3, 0, -4, 0, 0, 4, -2, -3, -2, -1 ], [ 1, -1, 0, 0, 2, -1, 0, 3, 0, 4, 0, 0, -4, 2, 3, 2, 1 ], \
[ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
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, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, \
0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, \
0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, \
0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 13, 8, 18, 25, 22, 16, 12, 8, 6, 2 ], [ 24, 17, 36,\
 50, 44, 32, 24, 16, 12, 4 ], [ -36, -24, -53, -75, -66, -48, -36, -24, -18, -6 ], [ 24, 16, 36, 51, 44, 32, 24, 16, 12, 4 ], [ -36, -24, -54, -75, -65, -\
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6, -36, -50, -44, -32, -24, -16, -11, -4 ], [ 24, 16, 36, 50, 44, 32, 24, 16, 12, 5 ] ], thegtilde := [ [ -16, 34, -14, 24, -52, 34, 0, 34, -15, 34, 17, 0\
, -51, -51, 0, -68, 0, -59, 0, 0, -34, -51, -8, -35, -1, -50 ], [ -10, 21, -7, 12, -29, 20, 0, 20, -9, 20, 11, 0, -30, -31, 0, -41, 1, -34, 1, 2, -21, -32\
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 -24, 0, -21, 0, 0, -12, -18, -3, -13, 0, -18 ], [ -5, 10, -4, 6, -14, 10, 0, 10, -5, 11, 5, 0, -16, -15, 0, -21, 1, -17, 1, 0, -11, -15, -4, -12, -2, -15\
 ], [ 1, -2, 2, -3, 4, -2, 0, -2, 1, -2, 0, 0, 3, 3, 0, 4, 0, 4, 0, 0, 2, 3, 0, 1, -1, 3 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, -1, -3, -3, 0, -4, 0, -3\
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 -2, 1, -2, 1, 0, 3, 2, 0, 4, 0, 4, 0, 2, 2, 1, -1, 1, -1, 2 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, -3, -1, -4, 0, -3, 0, 2, -2, -3, -1, -2, -1, \
-3 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -5, 2, -3, 2, 2, -4, -5, -3, -4, -3, -5 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -\
4, 1, -3, 0, 0, -2, -3, -1, -3, -2, -3 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -4, 0, -2, 0, 0, -2, -3, -1, -2, -1, -3 ], [ -1, 2, 0, 0, -2\
, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -4, 0, -3, 1, 0, -2, -3, -1, -3, -2, -3 ], [ -1, 2, 0, 0, -2, 2, 0, 2, -1, 2, 1, 0, -3, -3, 0, -4, 0, -3, 0, 1, -2, -3,\
 -1, -2, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -3, 6, -2, 3, -8, 6, 0\
, 6, -3, 6, 3, 0, -9, -9, 0, -12, 0, -10, 0, 0, -6, -9, -2, -6, -1, -8 ] ] ), rec( GramQ := [ [ -16, -56, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6\
, 0 ], [ -56, -306, -72, -106, -96, 20, -28, -20, -33, -39, -5, -9, -18, 6, -16, 22, -2 ], [ -20, -72, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8,\
 -2 ], [ -30, -106, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -96, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6\
, 20, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -28, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -20, -1, 0, -3, -\
2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -33, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -39, -3, -6, -7, 2, -6, -2, -8,\
 -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -\
4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -16, 0, 0, -2,\
 -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 22, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2,\
 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -2, 2, 2, -2, -2, 0, 2, -6 ], [ -2, -8, 6, 0, 2, -4, 0, 0, 0 ], [ 2, 6, -8, 2, -2, 4, 0, 0, 0 ], [ 2, 0, 2, -4, \
2, 0, 0, 0, 0 ], [ -2, 2, -2, 2, -8, 4, 0, 2, -6 ], [ -2, -4, 4, 0, 4, -8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 2, 0, 0, 0, 2, 0, 2, -4, 4 ], [ -6\
, 0, 0, 0, -6, 0, 0, 4, -12 ] ], Sigma := [ [ 1, 1, -1, 0, -2, 1, 0, -2, 0, -3, -1, 0, 4, -2, -3, -2, 1 ], [ -1, 1, -1, 1, -2, 1, 0, -2, 0, -3, 1, 0, 3, -\
2, -3, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0\
, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1\
, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 3, -10, 6, 2, 2, 0, 8, 4, 1, -9, -8, 0, -13, 2, -8, 1, 0, -10, -12, -5, -12, 0, -10 ], embQ := [ [ 1, 0,\
 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, -11, 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, -3, 0, \
0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0\
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 1, 0, 0, -1, 0, 0, 0, 2, -1, 2, 1, 0, -2, -1, 0, -2, 2, -2, 0, 0, -1, -1, 0, -2, -2, -3 ], [ 0, -4, 2, 0, 0, 0,\
 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], \
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 1, -3, 2, 0, 2, -1, -2, 0, 0, -1, -2, 0, -1, 1, -4, 0, 0, 1\
, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, \
0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4,\
 -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 8, 5, 12, 17, 14, 10, 8, 6, 4, 1 ], rlifts := [ [ 1, 2, -1, 0, -2, 2, 0, 0, 0, 2\
, 1, 0, -2, -2, 0, -3, -1, -1, 0, 0, -2, -3, -1, -2, 1, -2 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 0, -2, -3, -2, -3, 0, -2 ]\
 ], rootsQ := [ [ 1, 1, -1, 0, -2, 1, 0, -2, 0, -3, -1, 0, 4, -2, -3, -2, 1 ], [ -1, -1, 1, 0, 2, -1, 0, 2, 0, 3, 1, 0, -4, 2, 3, 2, -1 ], [ -1, 1, -1, 1,\
 -2, 1, 0, -2, 0, -3, 1, 0, 3, -2, -3, -3, 0 ], [ 1, -1, 1, -1, 2, -1, 0, 2, 0, 3, -1, 0, -3, 2, 3, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1\
, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0,\
 -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1",\
 "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 9, 5, 12, 17, 14, 10, 8, 6, 4, 1 ], [ 16, 11, 24, 34, 28, 20, 16, 12, 8, 2 ], [ -16, -10, -23, -3\
4, -28, -20, -16, -12, -8, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -12, -17, -13, -10, -8, -6, -4, -1 ], [ 16, 10, 24, 34, 28, 21, 16, 12, 8, 2 \
], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8, -5, -12, -17, -14, -10, -8, -6, -3, -1 ], [ 16, 10, 24, 34, 28, 20, 16, 12, 8\
, 3 ] ], thegtilde := [ [ 0, 22, -9, 6, -24, 22, 0, 0, 2, 22, 11, 0, -22, -22, 0, -33, 1, -17, 0, 0, -22, -33, -16, -29, 5, -21 ], [ -1, 15, -6, 4, -15, 1\
4, 0, 0, 1, 14, 8, 0, -14, -15, 0, -22, 2, -11, 1, 2, -15, -23, -12, -21, 2, -15 ], [ 0, 28, -11, 7, -30, 28, 0, 0, 2, 28, 14, 0, -28, -28, 0, -42, 0, -21\
, 0, 0, -28, -42, -20, -36, 6, -27 ], [ 0, 44, -18, 12, -48, 44, 0, 0, 4, 44, 22, 0, -44, -44, 0, -66, 0, -33, 0, 0, -44, -66, -31, -57, 11, -42 ], [ -1, \
38, -15, 10, -41, 38, 0, 0, 4, 38, 19, 0, -38, -38, 0, -57, 1, -29, 0, 0, -38, -57, -27, -50, 8, -36 ], [ 0, 28, -11, 7, -31, 29, 0, 0, 3, 28, 15, 0, -29,\
 -29, 0, -43, 1, -21, 1, 1, -29, -43, -21, -38, 5, -27 ], [ 0, 20, -8, 5, -22, 20, 1, 0, 2, 20, 10, 0, -20, -20, 0, -30, 0, -15, 0, 0, -20, -30, -14, -26,\
 4, -19 ], [ 0, 16, -7, 4, -17, 16, 0, 1, 1, 16, 9, 0, -17, -17, 0, -25, 1, -12, 1, 1, -17, -25, -13, -22, 2, -16 ], [ 0, 8, -4, 2, -8, 8, 0, 0, 1, 8, 4, \
0, -8, -8, 0, -12, 0, -6, 0, 0, -8, -12, -6, -11, 2, -8 ], [ 0, 4, -2, 1, -4, 4, 0, 0, 0, 5, 2, 0, -5, -4, 0, -7, 1, -3, 1, 0, -5, -6, -4, -7, 0, -4 ], [ \
-1, -2, 1, 0, 2, -2, 0, 0, 0, -2, 0, 0, 2, 2, 0, 3, 1, 1, 0, 0, 2, 3, 1, 1, -1, 2 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, -1, -2, -2, 0, -3, 1, -2, 0, 0,\
 -2, -1, -1, -3, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ -1, -2, 1, 0, 2, -2, 0, 0, 0, -2, 1, 0, 2,\
 1, 0, 3, 1, 1, 0, 2, 2, 1, 0, 1, -1, 1 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, -1, -3, 1, -2, 0, 2, -2, -3, -2, -3, 0, -2 ], [ 1, 2, -1, 0, -\
2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -4, 1, -1, 2, 2, -4, -5, -3, -4, -1, -4 ], [ 1, 2, -1, 0, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, 0, -1, 0, 0, -2, -3, \
-1, -3, 0, -2 ], [ 1, 2, -1, 0, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, -1, 0, 0, 0, -2, -3, -1, -2, 1, -2 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2,\
 -2, 0, -3, 1, -2, 1, 0, -2, -3, -2, -4, -1, -2 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 1, -2, -3, -2, -3, 0, -2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],\
 [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 0, -2, -3, -1, -3, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -1, 2, -1, 1, -2, 2, 0, 0, 0, 2, 1, 0, -2, -2\
, 0, -3, 1, -2, 0, 0, -2, -3, -2, -3, 0, -1 ] ] ), rec( GramQ := [ [ -16, -35, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -35, -158, -44, -6\
4, -60, 14, -22, -16, -25, -31, -7, -9, -14, 4, -12, 14, -2 ], [ -20, -44, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -64, -40, -60,\
 -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -60, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 14, 8, 12, 10, -8, -2, -2, \
3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -22, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -16, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4\
, 2, -4, 0, -2 ], [ -3, -25, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -31, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2\
 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, \
-4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, \
-4, 2, -4, 0, 0 ], [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQper\
p := [ [ -20, -4, 4, 4, 0, 0, 0, -4, 2 ], [ -4, -8, 6, 0, 0, 0, 0, -4, 2 ], [ 4, 6, -8, 2, 0, 0, 0, 4, -2 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2,\
 -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, -4, 4, 0, 0, 0, 2, -8, 4 ], [ 2, 2, -2, 0, 0, 0, 0, 4, -4 ] ], Si\
gma := [ [ -1, 1, -1, 1, -1, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 1, 1, -1, 0, -1, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, \
2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1,\
 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl :\
= [ 0, 8, -3, 3, -8, 2, 2, 6, -2, 8, 4, 1, -9, -8, 0, -13, 2, -8, 1, 0, -10, -10, -4, -11, -1, -13 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 2, -7, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -\
4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1\
, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp \
:= [ [ 0, 0, 0, -2, 2, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, -2, -2, 0, -3, -2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -\
4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0,\
 1, 1, 0, 0, -1, -1 ] ], r := [ 8, 5, 12, 17, 14, 11, 8, 5, 4, 1 ], rlifts := [ [ -1, 2, -1, 1, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, 0, -2, \
-2, -1, -2, 0, -3 ], [ 1, 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -1, 0, 0, -2, -2, -1, -2, 0, -4 ] ], rootsQ := [ [ -1, 1, -1, 1, -1, 1, 0,\
 -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 1, -1, 1, -1, 1, -1, 0, 2, 0, 3, 0, 0, -3, 2, 2, 2, 0 ], [ 1, 1, -1, 0, -1, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, \
0 ], [ -1, -1, 1, 0, 1, -1, 0, 2, 0, 3, 0, 0, -3, 2, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -\
1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0,\
 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1\
, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ],\
 [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ],\
 theg := [ [ 9, 5, 12, 17, 14, 11, 8, 5, 4, 1 ], [ 16, 11, 24, 34, 28, 22, 16, 10, 8, 2 ], [ -16, -10, -23, -34, -28, -22, -16, -10, -8, -2 ], [ 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 24, 34, 28, 22, 16,\
 11, 8, 2 ], [ -16, -10, -24, -34, -28, -22, -16, -10, -7, -2 ], [ 16, 10, 24, 34, 28, 22, 16, 10, 8, 3 ] ], thegtilde := [ [ 2, 22, -9, 5, -13, 0, 0, 22,\
 -9, 22, 11, 0, -22, -22, 0, -33, 0, -16, 0, 0, -22, -22, -10, -23, 0, -38 ], [ 1, 15, -6, 3, -8, 0, 0, 14, -6, 14, 8, 0, -14, -15, 0, -22, 1, -10, 1, 2, \
-15, -16, -8, -17, -1, -26 ], [ 0, 28, -11, 7, -16, 0, 0, 28, -12, 28, 14, 0, -28, -28, 0, -42, 0, -21, 0, 0, -28, -28, -13, -29, -1, -48 ], [ 0, 44, -18,\
 12, -26, 0, 0, 44, -18, 44, 22, 0, -44, -44, 0, -66, 0, -33, 0, 0, -44, -44, -20, -46, 0, -75 ], [ 1, 38, -15, 9, -22, 0, 0, 38, -15, 38, 19, 0, -38, -38\
, 0, -57, 0, -28, 0, 0, -38, -38, -17, -40, -1, -65 ], [ -1, 30, -12, 8, -18, 1, 0, 30, -12, 30, 16, 0, -31, -31, 0, -46, 1, -23, 1, 1, -31, -31, -15, -33\
, -2, -51 ], [ 0, 20, -8, 5, -12, 0, 1, 20, -8, 20, 10, 0, -20, -20, 0, -30, 0, -15, 0, 0, -20, -20, -9, -21, -1, -34 ], [ 1, 14, -6, 3, -8, 0, 0, 15, -6,\
 14, 8, 0, -15, -15, 0, -22, 1, -10, 1, 1, -15, -15, -8, -16, -2, -25 ], [ 0, 8, -4, 2, -4, 0, 0, 8, -3, 8, 4, 0, -8, -8, 0, -12, 0, -6, 0, 0, -8, -8, -4,\
 -9, 0, -14 ], [ 2, 4, -2, 0, -2, 0, 0, 4, -2, 5, 2, 0, -5, -4, 0, -7, 1, -2, 1, 0, -5, -4, -3, -6, -1, -8 ], [ 1, -2, 1, -1, 1, 0, 0, -2, 1, -2, 0, 0, 2,\
 2, 0, 3, 0, 2, 0, 0, 2, 2, 1, 1, 0, 3 ], [ 1, 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, -1, -2, -2, 0, -3, 0, -1, 0, 0, -2, 0, 0, -2, 0, -3 ], [ 2, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -2, 0, 2, 0, 0, 0, 1 ], [ 1, -2, 1, -1, 1, 0, 0, -2, 1, -2, 1, 0, 2, 1, 0, 3, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2 ], [ \
1, 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, -1, -3, 0, -1, 0, 2, -2, -2, -1, -2, 0, -4 ], [ -1, 2, -1, 1, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -4, 2, -\
2, 2, 2, -4, -4, -3, -4, -2, -5 ], [ -1, 2, -1, 1, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 1, -2, 0, 0, -2, -2, -1, -3, -1, -3 ], [ -3, 2, -1, 2, -1, 0, \
0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, 0, -2, -2, -1, -2, 0, -2 ], [ 1, 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -1, 1, 0, -2, -2, -1, -\
3, -1, -4 ], [ 1, 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -1, 0, 1, -2, -2, -1, -2, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, -1, 2, 1\
, 0, -2, -2, 0, -3, 0, -2, 0, 0, -2, -2, 0, -2, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 3, 2, -1, -1, -1, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, 0, 0, 0, -2, -2, -1, -2, \
0, -4 ] ] ), rec( GramQ := [ [ -16, -70, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -70, -516, -94, -136, -126, 26, -40, -30, -44, -48, -5, \
-13, -24, 10, -22, 30, -6 ], [ -20, -94, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -136, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, \
0, 0, 12, 0 ], [ -24, -126, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 26, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ],\
 [ 0, -40, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -30, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -44, -4,\
 -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -48, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3\
, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, \
-8, 0, -4, 0, 0 ], [ 0, 10, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -22, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8,\
 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 2, -6, 2, -2, 2, \
0, 4, -10 ], [ 2, -8, 8, 0, 4, -4, 0, -4, 8 ], [ -6, 8, -16, 2, -6, 6, 0, 8, -18 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -2, 4, -6, 2, -8, 6, 0, 4, -8 ], [ 2\
, -4, 6, 0, 6, -8, 2, -4, 8 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 4, -4, 8, 0, 4, -4, 2, -8, 12 ], [ -10, 8, -18, 0, -8, 8, 0, 12, -28 ] ], Sigma := [ [ 1,\
 1, -2, 1, -3, 1, 0, -3, 0, -4, 1, 0, 4, -2, -3, -3, 0 ], [ 1, 1, 0, 0, -3, 1, 0, -3, 0, -4, 1, 0, 4, -2, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, \
1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0\
, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 2, 8, -3, \
3, -12, 6, 2, 6, -2, 8, 4, 1, -11, -10, 0, -15, 4, -12, 1, 0, -10, -12, -4, -12, -2, -13 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 2, -14, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, 1, 0, 0, -3, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, \
0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,\
 -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 1\
, 0, 0, -1, 0, 0, 0, 2, 1, -2, 1, 0, 0, -1, 0, 0, 2, -2, 0, 0, 1, 1, 0, -1, -2, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 2, 1, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2, 0, 2, -2, 0, 1, 0, -2, 0, 0, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2\
, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0\
, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0,\
 1, -2, 0 ] ], r := [ 10, 6, 14, 21, 18, 13, 10, 7, 6, 2 ], rlifts := [ [ 1, 2, 0, 0, -3, 2, 0, 2, -2, 2, 1, 0, -3, -3, 0, -4, 1, -3, 0, 0, -2, -3, -1, -2\
, -1, -3 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, -4, 1, -4, 0, 0, -2, -3, -1, -3, 0, -4 ] ], rootsQ := [ [ 1, 1, -2, 1, -3, 1, 0, -3, 0, -4,\
 1, 0, 4, -2, -3, -3, 0 ], [ -1, -1, 2, -1, 3, -1, 0, 3, 0, 4, -1, 0, -4, 2, 3, 3, 0 ], [ 1, 1, 0, 0, -3, 1, 0, -3, 0, -4, 1, 0, 4, -2, -3, -2, -1 ], [ -1\
, -1, 0, 0, 3, -1, 0, 3, 0, 4, -1, 0, -4, 2, 3, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1,\
 -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, \
1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0,\
 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg :=\
 [ [ 11, 6, 14, 21, 18, 13, 10, 7, 6, 2 ], [ 20, 13, 28, 42, 36, 26, 20, 14, 12, 4 ], [ -10, -6, -13, -21, -18, -13, -10, -7, -6, -2 ], [ 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0 ], [ -20, -12, -28, -42, -35, -26, -20, -14, -12, -4 ], [ 20, 12, 28, 42, 36, 27, 20, 14, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 12\
, 28, 42, 36, 26, 20, 15, 12, 4 ], [ -30, -18, -42, -63, -54, -39, -30, -21, -17, -6 ], [ 20, 12, 28, 42, 36, 26, 20, 14, 12, 5 ] ], thegtilde := [ [ 16, \
30, -16, 9, -47, 30, 0, 30, -10, 30, 15, 0, -45, -45, 0, -60, 15, -54, 0, 0, -30, -45, -14, -40, -6, -53 ], [ 10, 21, -13, 7, -31, 20, 0, 20, -5, 20, 11, \
0, -30, -31, 0, -41, 11, -37, 1, 2, -21, -32, -11, -30, -4, -38 ], [ 20, 40, -21, 12, -62, 40, 0, 40, -14, 40, 20, 0, -60, -60, 0, -80, 20, -72, 0, 0, -40\
, -60, -19, -53, -9, -71 ], [ 32, 64, -34, 20, -100, 64, 0, 64, -22, 64, 32, 0, -96, -96, 0, -128, 32, -115, 0, 0, -64, -96, -30, -85, -13, -113 ], [ 27, \
54, -28, 16, -84, 54, 0, 54, -18, 54, 27, 0, -81, -81, 0, -108, 27, -97, 0, 0, -54, -81, -25, -72, -12, -95 ], [ 21, 42, -23, 13, -66, 43, 0, 42, -13, 42,\
 22, 0, -64, -64, 0, -85, 22, -76, 1, 1, -43, -64, -21, -58, -10, -75 ], [ 14, 28, -14, 8, -44, 28, 1, 28, -10, 28, 14, 0, -42, -42, 0, -56, 14, -50, 0, 0\
, -28, -42, -13, -37, -7, -49 ], [ 11, 22, -13, 7, -34, 22, 0, 23, -7, 22, 12, 0, -34, -34, 0, -45, 12, -40, 1, 1, -23, -34, -12, -31, -6, -40 ], [ 6, 12,\
 -6, 3, -18, 12, 0, 12, -5, 12, 6, 0, -18, -18, 0, -24, 6, -21, 0, 0, -12, -18, -6, -16, -3, -21 ], [ 3, 6, -4, 2, -9, 6, 0, 6, -2, 7, 3, 0, -10, -9, 0, -\
13, 4, -11, 1, 0, -7, -9, -4, -10, -2, -11 ], [ -1, -2, 0, 0, 3, -2, 0, -2, 2, -2, 0, 0, 3, 3, 0, 4, -1, 3, 0, 0, 2, 3, 1, 1, 1, 3 ], [ 1, 2, -2, 1, -3, 2\
, 0, 2, 0, 2, 1, -1, -3, -3, 0, -4, 1, -4, 0, 0, -2, -1, 0, -3, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 \
], [ -1, -2, 0, 0, 3, -2, 0, -2, 2, -2, 1, 0, 3, 2, 0, 4, -1, 3, 0, 2, 2, 1, 0, 1, 1, 2 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, -1, -4, 1, -4, \
0, 2, -2, -3, -1, -3, 0, -4 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, -5, 3, -4, 2, 2, -4, -5, -3, -5, -2, -6 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0\
, 2, 1, 0, -3, -3, 0, -4, 2, -4, 0, 0, -2, -3, -1, -4, -1, -4 ], [ 3, 6, -4, 2, -9, 6, 0, 6, -2, 6, 3, 0, -9, -9, 0, -12, 3, -10, 0, 0, -6, -9, -3, -8, -1\
, -11 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, -4, 1, -4, 1, 0, -2, -3, -1, -4, -1, -4 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, \
-4, 1, -4, 0, 1, -2, -3, -1, -3, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, -4, 1, -4, 0, 0, -2, -3, 0, -3, 0, -4 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ]\
, [ 1, 2, -2, 1, -3, 2, 0, 2, 0, 2, 1, 0, -3, -3, 0, -4, 1, -4, 0, 0, -2, -3, -1, -3, 0, -3 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -21, 6, 0, 0, -3,\
 -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -30, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -42, 12, 0, 0, -6, -6, 6, 6, 0, 0,\
 0, 12, 0 ], [ -24, -33, -48, -42, -39, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -21, -30, -42, -39, -52, 16, -2, 0, -10, -4, 1, 1, -4, -6, 2, 10,\
 -4 ], [ 6, 8, 12, 10, 16, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -2, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -\
3, 0, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -10, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -4, 2, -6, -\
2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, 1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, 1, -3, -8, -5, -5, -3, -5, -8, -6, \
0, -4, -2, -2 ], [ 0, 0, 0, -4, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -6, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, \
2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -\
2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 8, 2, 8, 0, -16, 4, 4 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 8, 2, -8, 2, -4, 0, 8, -2, -2 ], [ 2, 0, 2, -4,\
 2, 0, 0, 0, 0 ], [ 8, 0, -4, 2, -8, 2, 8, -2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -16, 0, 8, 0, 8, 2, -20, 6, 4 ], [ 4, 0, -2, 0, -2, 0, 6, -4, 0 ], \
[ 4, 0, -2, 0, -2, 0, 4, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1\
, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, -1, 1, -1, 1, \
1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], \
[ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 6, -14, 2, 10, \
2, 0, 4, 6, 1, -5, -4, 0, -7, 2, -9, 1, 0, -10, -6, 0, -9, -1, -8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 2, 0, 0, -1, -1, 0, 0, 4, -\
3, 4, 2, 0, -4, -2, 0, -4, 3, -4, 0, 0, -2, -2, 0, -3, -3, -6 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -3,\
 2, -1, 1, 1, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1, 0, 2, 2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1\
, 0, 0, 0 ], [ -2, 0, 0, 1, -1, 2, 0, -2, 1, -2, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 1, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0,\
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0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 13, 10, 20, 28, 24, 18, 12, 10, 8, 4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]\
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 0, 1, -1, 0, 0 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -26, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -34, 8, -1, -1, -4, -3, 3,\
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 10, -2 ], [ -26, -34, -48, -47, -102, 11, -19, -16, -19, -22, -5, -7, -10, 5, -10, 12, -4 ], [ 6, 8, 12, 10, 11, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, \
0 ], [ 0, -1, 0, -5, -19, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -16, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, \
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, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -7, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, -10, 0, -8, -4, -8, -6, -4, -\
6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 5, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -10, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 1\
2, 10, 12, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, -4,\
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, 4, 2, 4, -2, 8, 4, 1, -9, -6, 0, -11, 2, -9, 1, 0, -8, -9, -2, -9, -1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0,\
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 ], [ -2, 2, -1, 1, 0, 0, 2, -4, 2, 0, 1, 0, 2, 1, 0, 1, -1, 2, 0, 0, -2, -1, -1, -2, 2, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
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], r := [ 6, 5, 10, 14, 12, 9, 7, 5, 4, 1 ], rlifts := [ [ 0, 0, 0, 1, -2, 1, 0, 1, -1, 2, 1, 0, -2, -1, 0, -2, 0, -2, 0, 0, -1, -2, 0, -1, 0, -2 ], [ 0, \
0, 0, 1, -2, 1, 0, 1, -1, 2, 1, 0, -2, -1, 0, -2, 0, -2, 0, 0, -1, -1, 0, -1, 0, -2 ] ], rootsQ := [ [ 0, 0, 1, -2, 1, 1, 0, -2, 0, -2, 0, 0, 3, -1, -1, -\
1, 0 ], [ 0, 0, -1, 2, -1, -1, 0, 2, 0, 2, 0, 0, -3, 1, 1, 1, 0 ], [ 0, 0, 1, -2, 1, 1, 0, -2, 0, -2, 0, 0, 3, -1, -2, -1, 0 ], [ 0, 0, -1, 2, -1, -1, 0, \
2, 0, 2, 0, 0, -3, 1, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1\
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1, 0 ], [ 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1\
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, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 13, 10, 20, 28, 24\
, 18, 14, 10, 8, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -5, -9, -14, -12, -9, -7, -5, -4, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -5, -10, -14\
, -11, -9, -7, -5, -4, -1 ], [ 6, 5, 10, 14, 12, 10, 7, 5, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 5, 10, 14, 12, 9, 7, 6, 4, 1 ], [ -12, -10, -20,\
 -28, -24, -18, -14, -10, -7, -2 ], [ 12, 10, 20, 28, 24, 18, 14, 10, 8, 3 ] ], thegtilde := [ [ 1, 0, 2, 10, -22, 10, 0, 10, -8, 20, 10, 0, -20, -10, 0, \
-20, 0, -20, 0, 0, -10, -15, 1, -11, 0, -19 ], [ 0, 1, 1, 9, -19, 9, 0, 9, -8, 18, 10, 0, -18, -10, 0, -19, 1, -18, 1, 2, -10, -16, -1, -12, -1, -19 ], [ \
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40, -20, 0, -40, 0, -40, 0, 0, -20, -30, 2, -22, 0, -38 ], [ 0, 0, 4, 18, -39, 18, 0, 18, -14, 36, 18, 0, -36, -18, 0, -36, 0, -36, 0, 0, -18, -27, 2, -20\
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8, 9, 0, -18, -9, 0, -18, 0, -18, 0, 0, -9, -13, 1, -10, -1, -17 ], [ 0, 0, 1, 9, -19, 9, 0, 10, -8, 18, 10, 0, -19, -10, 0, -19, 1, -18, 1, 1, -10, -15, \
-1, -11, -2, -18 ], [ 0, 0, 0, 4, -8, 4, 0, 4, -3, 8, 4, 0, -8, -4, 0, -8, 0, -8, 0, 0, -4, -6, 0, -5, 0, -8 ], [ 0, 0, 0, 3, -6, 3, 0, 3, -3, 7, 3, 0, -7\
, -3, 0, -7, 1, -6, 1, 0, -4, -6, -1, -5, -1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 2, -4, 2\
, 0, 2, -2, 4, 2, -1, -4, -2, 0, -4, 0, -4, 0, 0, -2, -3, 1, -2, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 0, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, -1, -4, 0, -4, \
0, 2, -2, -4, 0, -2, 0, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -5, 2, -4, 2, 2, -4, -6, -2, -4, -2, -6 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2,\
 4, 2, 0, -4, -2, 0, -4, 1, -4, 0, 0, -2, -3, 0, -3, -1, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -4, 0, -3, 0, 0, -2, -3, 0, -2, 0, -4 ],\
 [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -4, 0, -4, 1, 0, -2, -4, 0, -3, -1, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -4, 0, -4\
, 0, 1, -2, -4, 0, -2, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -4, 0, -4, 0, 0, -2, -3, 1, -2, 0, -4 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0,\
 0, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -2, 0, -4, 0, -4, 0, 0, -2, -3, 0, -2, 0, -3 ] ] ), rec( GramQ := [ [ -16, -20, -30, -24, -19, 6, 0, 0, -3, -4, 2, 3,\
 0, 0, 0, 6, 0 ], [ -20, -28, -40, -33, -26, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -40, -60, -48, -36, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 \
], [ -24, -33, -48, -42, -35, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ -19, -26, -36, -35, -44, 8, -10, -8, -11, -9, -3, -5, -6, -2, -4, 8, -4 ], \
[ 6, 8, 12, 10, 8, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, -10, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, -8, \
-2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -4, -6, -9, -11, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -3, -6, -7, -9, 2, -6, -2, -8,\
 -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 3, 6, 2, -3, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, 3, 6, 1, -5, -3, -8, -5, -5, -3, -5, -8, -6, 0, -\
4, -2, -2 ], [ 0, 0, 0, -4, -6, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, -2, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, -4, \
-2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 8, 12, 10, 8, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, 0, -2, -4, 0, -2, -2, 0, 2, -2, -2, 0\
, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, 0, -4, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0,\
 0, 0 ], [ 4, 0, 0, 2, -8, 2, 4, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 0, 0, 4, 2, -8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0, 0, 0, 0, 0,\
 0, 0, 4, -12 ] ], Sigma := [ [ 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 0, 0, 1, -2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1\
, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, \
0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4, -1, 6, -14, 2, 10, 2, -4, 12, 2, 1\
, -9, -4, 0, -11, 2, -9, 1, 0, -14, -10, 2, -9, -1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, \
-2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, 2 ], [ -2, 2, -1, 1, 0, \
0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 \
], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, \
-1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2\
, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 8, 6, 12,\
 18, 16, 12, 8, 6, 4, 1 ], rlifts := [ [ 0, 0, 0, 1, -2, 0, 2, 0, -1, 2, 0, 0, -1, 0, 1, -1, 0, -1, 0, -1, -2, -1, 1, 0, 0, -1 ] ], rootsQ := [ [ 0, 0, 1,\
 -2, 1, 0, 0, -1, 0, -1, 0, 0, 2, -2, -1, 0, 0 ], [ 0, 0, -1, 2, -1, 0, 0, 1, 0, 1, 0, 0, -2, 2, 1, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 0, 0, 1, -2\
, -1, 0, 0 ], [ 0, 0, -1, 2, -1, 0, 0, 1, -1, 1, 0, 0, -1, 2, 1, 0, 0 ], [ 0, 0, 1, -2, 1, 0, 0, -1, -1, -1, 0, 0, 3, -2, -1, -1, 0 ], [ 0, 0, -1, 2, -1, \
0, 0, 1, 1, 1, 0, 0, -3, 2, 1, 1, 0 ], [ 0, 0, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0, 2, -2, -1, -1, 0 ], [ 0, 0, -1, 2, -1, 0, 0, 1, 0, 1, 0, 0, -2, 2, 1, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1\
, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, 0, -1,\
 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [\
 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1,\
 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 17, 12, 24, 36, 32, 24, 16, 12, 8, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -12, -24, -36, -31, -24, -16, -12, -8, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0 ], [ 16, 12, 24, 36, 32, 24, 17, 12, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -8, -6, -12, -18, -16, -12, -8, -6, -3, -1 ], [ 16, 12, 24, 36, 32,\
 24, 16, 12, 8, 3 ] ], thegtilde := [ [ 1, 0, 2, 10, -22, 0, 20, 0, -8, 20, 0, 0, -10, 0, 0, -10, 0, -10, 0, 0, -20, -10, 11, -6, 0, -9 ], [ 0, 1, 1, 10, \
-21, 0, 20, 0, -9, 20, 1, 0, -10, -1, 0, -11, 1, -10, 1, 2, -21, -12, 9, -8, -1, -11 ], [ 0, 0, 3, 12, -26, 0, 24, 0, -10, 24, 0, 0, -12, 0, 0, -12, 0, -1\
2, 0, 0, -24, -12, 13, -7, -1, -11 ], [ 0, 0, 4, 21, -44, 0, 40, 0, -16, 40, 0, 0, -20, 0, 0, -20, 0, -20, 0, 0, -40, -20, 22, -12, 0, -18 ], [ 0, 0, 4, 1\
8, -39, 0, 36, 0, -14, 36, 0, 0, -18, 0, 0, -18, 0, -18, 0, 0, -36, -18, 20, -11, -1, -16 ], [ 0, 0, 3, 16, -35, 1, 32, 0, -13, 32, 1, 0, -17, -1, 0, -17,\
 1, -16, 1, 1, -33, -17, 16, -12, -2, -15 ], [ 0, 0, 2, 8, -18, 0, 17, 0, -6, 16, 0, 0, -8, 0, 0, -8, 0, -8, 0, 0, -16, -8, 9, -5, -1, -7 ], [ 0, 0, 1, 10\
, -21, 0, 20, 1, -9, 20, 1, 0, -11, -1, 0, -11, 1, -10, 1, 1, -21, -11, 9, -8, -2, -10 ], [ 0, 0, 0, 4, -8, 0, 8, 0, -3, 8, 0, 0, -4, 0, 0, -4, 0, -4, 0, \
0, -8, -4, 4, -2, 0, -4 ], [ 0, 0, 0, 3, -6, 0, 6, 0, -3, 7, 0, 0, -4, 0, 0, -4, 1, -3, 1, 0, -7, -3, 2, -3, -1, -3 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 1\
, 0, -2, 0, 0, -2, 0, -2, 0, 0, -4, -2, 2, -1, 0, -2 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, -1, -2, 0, 0, -2, 0, -2, 0, 0, -4, 0, 3, -1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 2, 0, -2, -1, 0, -2, 0, -2, 0, 2, -4, -4, 1\
, -3, 0, -3 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, -1, -2, 0, -2, 0, 2, -4, -2, 2, -2, 0, -2 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, \
0, -3, 2, -2, 2, 2, -6, -4, 0, -4, -2, -4 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, 0, -2, 1, -2, 0, 0, -4, -2, 2, -1, -1, -2 ], [ 0, 0, 0, 2, -4,\
 0, 4, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, -1, 0, 0, -4, -2, 2, -1, 0, -2 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, -2, 1, 0, -4, -2, 2, -1\
, -1, -2 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, -2, 0, 1, -4, -2, 2, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -\
2, 0, 0, -2, 0, -2, 0, 0, -4, -2, 3, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 2, -4, 0, 4, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, -4, -2, 2, -1, 0, -1 ] ] )\
, rec( GramQ := [ [ -16, -20, -30, -27, -6, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -20, -28, -40, -37, -8, 0, -1, -1, 0, 1, -1, -1, 0, 0, 0, 0, -2 ], [\
 -30, -40, -60, -54, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -27, -37, -54, -52, -11, 0, -5, -3, -4, -2, -3, -4, -4, 0, -2, 0, -2 ], [ -6, -8, -12, -\
11, -4, -2, 0, 0, 1, 1, -1, -1, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, -2, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -1, 0, -5, 0, -2, -12, -8, -8, -6, -\
5, -8, -8, 2, -6, 0, -2 ], [ 0, -1, 0, -3, 0, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ 0, 0, 0, -4, 1, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, \
0 ], [ -1, 1, 0, -2, 1, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ -1, -1, 0, -3, -1, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 0, -1, 0, -\
4, -1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, 0, 0, -4, 0, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0,\
 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, -2, 0, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 0, 0, 0, 0, -2, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2\
, 0, -2, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 6, 4, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0,\
 0, 0, 0, 0 ], [ 6, 0, 2, -4, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, \
0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 1, -1, 0, 0, -1, 1\
, -1, 1, -1, -1, 2, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 4\
, -1, 6, -10, 2, 2, 2, 0, 4, 2, 1, -5, -4, 0, -7, 2, -9, 1, 0, -6, -6, 0, -7, 1, -8 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, \
0, 0, 0, 0, 0, 0, 0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 1, -3, 4, 0, 0, -1, 0, -2, 0, -2, -2, 0, -2, 1, -4, 0, 0, 0, -2, 2, 1, -1, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2\
, 2, -1, 2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, \
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, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1\
, 0, 2 ] ], r := [ 2, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, -1, -1, 1, 1, 1, 2, 1, 2, 0 ] ], r\
ootsQ := [ [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 1, -1, 0, 0, -\
1, 1, -1, 1, -1, -1, 2, 1, 1, 1, 2 ], [ 0, 0, -1, 1, 0, 0, 1, -1, 1, -1, 1, 1, -2, -1, -1, -1, -2 ], [ 0, 0, -1, 1, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1\
, 1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1,\
 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, -1, 0, 1, -1, -1, 0, 0, -1, 0,\
 0, 0, 0, 0, 1, 1, 0 ], [ 0, 1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0\
 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1 ], [ 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 5, 4, 8, 12, 12, 10, 8, 6, 4, 2 ], [ 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -6, -5, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0\
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], thegtilde := [ [ 1, 0, 2, 4, -6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 3, -1, 2, -1 ], [ 0, 1, 1, 6, -7, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, -\
1, 1, -6, 1, 2, -1, -2, 2, -3, 2, -4 ], [ 0, 0, 3, 4, -6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 3, -1, 1, -1 ], [ 0, 0, 4, 9, -12, 0, 0, 0, \
4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 6, -2, 4, -2 ], [ 0, 0, 4, 8, -11, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 6, -2, 3, -2 ], [ 0, 0, \
3, 9, -12, 1, 0, 0, 3, 0, 1, 1, -1, -1, 0, -1, 1, -9, 1, 1, -1, -2, 4, -3, 2, -4 ], [ 0, 0, 2, 4, -6, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, \
3, -1, 1, -1 ], [ 0, 0, 1, 7, -8, 0, 0, 1, 1, 0, 1, 1, -1, -1, 0, -1, 1, -7, 1, 1, -1, -2, 2, -2, 1, -4 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, -2, 0, 0, 0, 0, 1, -1, 1, -1 ], [ 0, 0, 0, 3, -3, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, -3, 1, 0, -1, -1, 0, -2, 0, -2 ], [ 0, 0, 0, 2, -2, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, -1, 1, -1 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, \
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1, 1, -2 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 2, 0, 0, 1, 0, 1, -1 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -\
2, 2, 2, -2, -2, -1, -2, -1, -3 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, -1 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 2, -2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0,\
 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 1, 0 ] ] ), rec( GramQ := [ [ -16, -78, -20, -30, -24, 6\
, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -78, -504, -102, -148, -133, 36, -26, -18, -39, -41, -3, -5, -18, 0, -12, 32, -6 ], [ -20, -102, -28, -40, -33, 8\
, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -148, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -133, -33, -48, -42, 10, -5, -3, -9\
, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 36, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -26, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2,\
 -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -39, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [\
 -4, -41, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, \
-3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0\
, -4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 32, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6,\
 -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 8, -2, 12, -4, -4, 0, 2 ], [ -4, -8, 10, -4, 12, -4, -4, 0, 2 ], [ 8, 10\
, -20, 10, -24, 8, 8, 0, -4 ], [ -2, -4, 10, -8, 16, -4, -4, 0, 2 ], [ 12, 12, -24, 16, -52, 16, 12, 0, -6 ], [ -4, -4, 8, -4, 16, -8, -2, 0, 2 ], [ -4, -\
4, 8, -4, 12, -2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 2, -4, 2, -6, 2, 2, 2, -4 ] ], Sigma := [ [ -1, 1, -1, 2, -4, 2, -1, -1, -1, -2, -1, -1\
, 6, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0\
, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0,\
 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 10, -22, 10, 10, 2, 0, 12, 10, 1, -13, -12, 0, -19, 2, -17, 1, 0, -18, -18, -4, -19, 1, -16 ], e\
mbQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 0, -15, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, -3, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,\
 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 4, -8, 1, 0, 4, -1, 0, 3, -1, 0, 0, 0, 3, 3, -1\
, 1, 1, 3 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 4, -12, -2, 0, 4, -2, \
0, 4, 0, -4, 0, 0, 6, 4, 2, 5, 0, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -\
2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, \
0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 14, 10, 22, 30, 26, 19, 14, 11, 8, 3 ], rlifts := [ [ -1, 2, -\
1, 2, -4, 2, 2, 0, 0, 2, 2, -1, -1, -2, -1, -2, -1, -3, -1, 1, -2, -2, 1, -2, 2, -2 ] ], rootsQ := [ [ -1, 1, -1, 2, -4, 2, -1, -1, -1, -2, -1, -1, 6, -2,\
 -2, -2, 2 ], [ 1, -1, 1, -2, 4, -2, 1, 1, 1, 2, 1, 1, -6, 2, 2, 2, -2 ], [ -1, 1, -1, 2, -4, 2, -1, -2, 0, -3, 0, 0, 5, -3, -2, -3, 1 ], [ 1, -1, 1, -2, \
4, -2, 1, 2, 0, 3, 0, 0, -5, 3, 2, 3, -1 ], [ -1, 1, -1, 2, -4, 2, 1, -2, 0, -3, 0, 0, 4, -3, -4, -3, 0 ], [ 1, -1, 1, -2, 4, -2, -1, 2, 0, 3, 0, 0, -4, 3\
, 4, 3, 0 ], [ -1, 1, -1, 2, -4, 2, 1, -3, 1, -4, 1, 1, 3, -4, -4, -4, -1 ], [ 1, -1, 1, -2, 4, -2, -1, 3, -1, 4, -1, -1, -3, 4, 4, 4, 1 ], [ 0, 0, 0, 0, \
0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, \
1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -\
1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0\
, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1\
, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], r\
ootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 29, 20, 44, 60, 52, 38, 28, 22, 16, 6 ], [ 28, 21, 44, 60, 52, 38, 28, 22, 16, 6 ],\
 [ -56, -40, -87, -120, -104, -76, -56, -44, -32, -12 ], [ 28, 20, 44, 61, 52, 38, 28, 22, 16, 6 ], [ -42, -30, -66, -90, -77, -57, -42, -33, -24, -9 ], [\
 28, 20, 44, 60, 52, 39, 28, 22, 16, 6 ], [ 28, 20, 44, 60, 52, 38, 29, 22, 16, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -28, -20, -44, -60, -52, -38, -28\
, -22, -15, -6 ], [ 28, 20, 44, 60, 52, 38, 28, 22, 16, 7 ] ], thegtilde := [ [ -21, 44, -20, 44, -90, 44, 44, 0, 2, 44, 44, 0, -44, -44, 0, -66, 0, -66, \
0, 0, -66, -66, -10, -67, 11, -54 ], [ -14, 29, -13, 28, -57, 28, 28, 0, 1, 28, 29, 0, -28, -29, 0, -43, 1, -42, 1, 2, -43, -44, -8, -45, 6, -36 ], [ -26,\
 52, -23, 52, -106, 52, 52, 0, 2, 52, 52, 0, -52, -52, 0, -78, 0, -78, 0, 0, -78, -78, -12, -79, 12, -64 ], [ -42, 84, -38, 85, -172, 84, 84, 0, 4, 84, 84\
, 0, -84, -84, 0, -126, 0, -126, 0, 0, -126, -126, -19, -128, 21, -103 ], [ -36, 72, -32, 72, -147, 72, 72, 0, 4, 72, 72, 0, -72, -72, 0, -108, 0, -108, 0\
, 0, -108, -108, -16, -110, 17, -88 ], [ -27, 54, -24, 54, -111, 55, 54, 0, 3, 54, 55, 1, -55, -55, 0, -82, 1, -81, 1, 1, -82, -83, -14, -84, 11, -67 ], [\
 -18, 36, -16, 36, -74, 36, 37, 0, 2, 36, 36, 0, -36, -36, 0, -54, 0, -54, 0, 0, -54, -54, -8, -55, 8, -44 ], [ -17, 34, -16, 34, -69, 34, 34, 1, 1, 34, 3\
5, 1, -35, -35, 0, -52, 1, -51, 1, 1, -52, -53, -10, -53, 6, -43 ], [ -8, 16, -8, 16, -32, 16, 16, 0, 1, 16, 16, 0, -16, -16, 0, -24, 0, -24, 0, 0, -24, -\
24, -4, -25, 4, -20 ], [ -7, 14, -7, 14, -28, 14, 14, 0, 0, 15, 14, 1, -15, -14, 0, -22, 1, -21, 1, 0, -22, -22, -5, -23, 2, -18 ], [ 2, -4, 2, -4, 8, -4,\
 -4, 0, 0, -4, -3, 0, 4, 4, 0, 6, 0, 6, 0, 0, 6, 6, 1, 5, -1, 5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 1, -4, -4, 0, -6, 0, -6, 0, 0, -6, -6, -1, -6, 0,\
 -5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 2, -5, -4, 0, -6, 0, -6, 0, -2, -6, -6, -2, -6, 0, -4 ], [ 2, -4, 2, -4, 8, -4, -4, 0, 0, -4, -2, 0, 4, 3, 0,\
 6, 0, 6, 0, 2, 6, 4, 0, 5, -1, 4 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, -1, -6, 0, -6, 0, 2, -6, -6, -1, -6, 1, -5 ], [ -2, 4, -2, 4, -8, 4,\
 4, 0, 0, 4, 4, 0, -4, -4, 0, -7, 2, -6, 2, 2, -8, -8, -3, -8, -1, -7 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 1, -6, 0, 0, -6, -6, -1, \
-7, 0, -5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 0, -5, 0, 0, -6, -6, -1, -6, 1, -5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4\
, 0, -6, 0, -6, 1, 0, -6, -6, -1, -7, 0, -5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 0, -6, 0, 1, -6, -6, -1, -6, 1, -5 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -4, 8, -4, 8, -16, 8, 8, 0, 0, 8, 8, 0, -8, -8, 0, -12, 0, -1\
2, 0, 0, -12, -12, -2, -12, 2, -9 ] ] ), rec( GramQ := [ [ -16, -57, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -57, -304, -74, -106, -97, 3\
0, -20, -14, -31, -33, -5, -5, -14, -2, -8, 24, -6 ], [ -20, -74, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -106, -40, -60, -48, 12\
, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -97, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 30, 8, 12, 10, -8, -2, -2, 3, 2, -2\
, -3, 0, 2, -2, -4, 0 ], [ 0, -20, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -14, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4,\
 0, -2 ], [ -3, -31, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -33, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2,\
 -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -\
8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -8, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -\
4, 0, 0 ], [ 6, 24, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [\
 -8, -4, 8, -2, 4, 0, -4, -4, 8 ], [ -4, -8, 10, -4, 4, 0, -4, -4, 8 ], [ 8, 10, -20, 10, -8, 0, 8, 8, -16 ], [ -2, -4, 10, -8, 6, 0, -4, -4, 8 ], [ 4, 4,\
 -8, 6, -8, 2, 4, 4, -8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, -4, 8, -4, 4, 2, -8, -2, 8 ], [ -4, -4, 8, -4, 4, 0, -2, -8, 12 ], [ 8, 8, -16, 8, -8, 0,\
 8, 12, -28 ] ], Sigma := [ [ -1, 1, -1, 2, -3, 2, 0, -2, 1, -3, 0, 0, 3, -3, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, \
1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, \
-1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 10, -18, 2, 10, 10, -4, 12,\
 10, 1, -13, -12, 0, -19, 2, -17, 1, 0, -18, -14, -2, -17, -1, -22 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, \
-1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2\
, 2, -1, 1, 0, 0, 0, 0, 4, -8, 1, 0, 4, -1, 0, 3, -1, 0, 0, 0, 3, 3, -1, 1, 1, 3 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, \
-2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, \
0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2,\
 -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r\
 := [ 14, 10, 22, 30, 26, 20, 14, 10, 8, 3 ], rlifts := [ [ -1, 2, -1, 2, -3, 0, 2, 2, -1, 2, 2, 0, -2, -2, 1, -3, 0, -3, 0, -1, -3, -2, 0, -2, 0, -4 ] ],\
 rootsQ := [ [ -1, 1, -1, 2, -3, 2, 0, -2, 0, -3, 0, 0, 4, -3, -2, -2, 0 ], [ 1, -1, 1, -2, 3, -2, 0, 2, 0, 3, 0, 0, -4, 3, 2, 2, 0 ], [ -1, 1, -1, 2, -3,\
 2, 0, -2, 1, -3, 0, 0, 3, -3, -2, -2, 0 ], [ 1, -1, 1, -2, 3, -2, 0, 2, -1, 3, 0, 0, -3, 3, 2, 2, 0 ], [ -1, 1, -1, 2, -3, 2, 0, -2, -1, -3, 0, 0, 5, -3,\
 -2, -3, 0 ], [ 1, -1, 1, -2, 3, -2, 0, 2, 1, 3, 0, 0, -5, 3, 2, 3, 0 ], [ -1, 1, -1, 2, -3, 2, 0, -2, 0, -3, 0, 0, 4, -3, -2, -3, 0 ], [ 1, -1, 1, -2, 3,\
 -2, 0, 2, 0, 3, 0, 0, -4, 3, 2, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1\
, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -\
1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1,\
 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, \
0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 29, 20, 44, 60, 52, 40, 28, \
20, 16, 6 ], [ 28, 21, 44, 60, 52, 40, 28, 20, 16, 6 ], [ -56, -40, -87, -120, -104, -80, -56, -40, -32, -12 ], [ 28, 20, 44, 61, 52, 40, 28, 20, 16, 6 ],\
 [ -28, -20, -44, -60, -51, -40, -28, -20, -16, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 28, 20, 44, 60, 52, 40, 29, 20, 16, 6 ], [ 28, 20, 44, 60, 52, 4\
0, 28, 21, 16, 6 ], [ -42, -30, -66, -90, -78, -60, -42, -30, -23, -9 ], [ 28, 20, 44, 60, 52, 40, 28, 20, 16, 7 ] ], thegtilde := [ [ -21, 44, -20, 44, -\
68, 0, 44, 44, -20, 44, 44, 0, -44, -44, 0, -66, 0, -66, 0, 0, -66, -44, 1, -56, 0, -87 ], [ -14, 29, -13, 28, -43, 0, 28, 28, -13, 28, 29, 0, -28, -29, 0\
, -43, 1, -42, 1, 2, -43, -30, -1, -38, -1, -57 ], [ -26, 52, -23, 52, -80, 0, 52, 52, -24, 52, 52, 0, -52, -52, 0, -78, 0, -78, 0, 0, -78, -52, 1, -66, -\
1, -103 ], [ -42, 84, -38, 85, -130, 0, 84, 84, -38, 84, 84, 0, -84, -84, 0, -126, 0, -126, 0, 0, -126, -84, 2, -107, 0, -166 ], [ -36, 72, -32, 72, -111,\
 0, 72, 72, -32, 72, 72, 0, -72, -72, 0, -108, 0, -108, 0, 0, -108, -72, 2, -92, -1, -142 ], [ -28, 56, -25, 56, -87, 1, 56, 56, -25, 56, 57, 0, -57, -57,\
 0, -85, 1, -84, 1, 1, -85, -57, 0, -74, -2, -111 ], [ -18, 36, -16, 36, -56, 0, 37, 36, -16, 36, 36, 0, -36, -36, 0, -54, 0, -54, 0, 0, -54, -36, 1, -46,\
 -1, -71 ], [ -16, 32, -15, 32, -49, 0, 32, 33, -15, 32, 33, 0, -33, -33, 0, -49, 1, -48, 1, 1, -49, -33, -1, -43, -2, -64 ], [ -8, 16, -8, 16, -24, 0, 16\
, 16, -7, 16, 16, 0, -16, -16, 0, -24, 0, -24, 0, 0, -24, -16, 0, -20, 0, -32 ], [ -7, 14, -7, 14, -21, 0, 14, 14, -7, 15, 14, 0, -15, -14, 0, -22, 1, -21\
, 1, 0, -22, -14, -1, -19, -1, -28 ], [ 2, -4, 2, -4, 6, 0, -4, -4, 2, -4, -3, 0, 4, 4, 0, 6, 0, 6, 0, 0, 6, 4, 0, 5, 0, 8 ], [ -2, 4, -2, 4, -6, 0, 4, 4,\
 -2, 4, 4, -1, -4, -4, 0, -6, 0, -6, 0, 0, -6, -2, 1, -5, 0, -7 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -5, -4, 0, -6, 0, -6, 0, -2, -6, -2, 0, -5, 0\
, -6 ], [ 2, -4, 2, -4, 6, 0, -4, -4, 2, -4, -2, 0, 4, 3, 0, 6, 0, 6, 0, 2, 6, 2, -1, 3, 0, 7 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, -1, -6,\
 0, -6, 0, 2, -6, -4, 0, -6, 0, -8 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -7, 2, -6, 2, 2, -8, -6, -2, -8, -2, -10 ], [ -2, 4, -2, 4, -6,\
 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 1, -6, 0, 0, -6, -4, 0, -5, -1, -8 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 0, -5, 0, 0, -6, -4, \
0, -5, 0, -8 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 0, -6, 1, 0, -6, -4, 0, -5, -1, -8 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -2, 4, 4, 0, -\
4, -4, 0, -6, 0, -6, 0, 1, -6, -4, 0, -5, 0, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], \
[ -4, 8, -4, 8, -12, 0, 8, 8, -4, 8, 8, 0, -8, -8, 0, -12, 0, -12, 0, 0, -12, -8, 0, -10, 0, -15 ] ] ), rec( GramQ := [ [ -16, -40, -20, -30, -24, 6, 0, 0\
, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -40, -176, -52, -76, -71, 24, -16, -8, -28, -26, -5, -7, -16, -6, -6, 16, -2 ], [ -20, -52, -28, -40, -33, 8, -1, -1, -\
4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -76, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -71, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -\
4, 0, -2, 10, -2 ], [ 6, 24, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -16, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ],\
 [ 0, -8, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -28, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -26, -3, \
-6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -7, 3, 6, 1, -3, -8, -5, -5\
, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0\
 ], [ 0, -6, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 16, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0,\
 -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 12, 2, 0, 0, -4, 0, 2 ], [ -4, -8, 16, 0, 0, 0, -4, 0, 2 ], [ 12, 16, -52, 4, 0, 0, 12\
, 0, -6 ], [ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, -4, 12, 0, 0, 2, -8, 2, 2 ], [ 0, 0, 0, 0\
, 0, 0, 2, -4, 2 ], [ 2, 2, -6, 0, 0, 0, 2, 2, -4 ] ], Sigma := [ [ 0, 1, -1, 1, -2, 2, 0, -1, 0, -2, 0, 0, 2, -3, -2, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1,\
 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0,\
 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0,\
 12, -5, 6, -14, 2, 10, 2, 0, 12, 10, 1, -9, -8, 0, -15, 2, -9, 1, 0, -18, -14, -6, -19, 1, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -8, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0,\
 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0\
, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [\
 [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 6, -12, 2, 0, 6, -2, 0, 4, -2, 0, 0, 0, 4, 4, -2, 1, 2, 4 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4,\
 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 \
], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, \
1, 1, 0, 0, -1, -1 ] ], r := [ 10, 7, 16, 22, 18, 14, 10, 8, 6, 2 ], rlifts := [ [ 0, 2, -1, 1, -2, 0, 2, 0, 0, 2, 2, 0, -1, -1, 0, -2, 0, -1, 0, 0, -3, -\
2, -1, -3, 0, -3 ] ], rootsQ := [ [ 0, 1, -1, 1, -2, 2, 0, -1, -1, -1, -1, -1, 3, -2, -1, -2, 2 ], [ 0, -1, 1, -1, 2, -2, 0, 1, 1, 1, 1, 1, -3, 2, 1, 2, -\
2 ], [ 0, 1, -1, 1, -2, 2, 0, -1, 0, -2, 0, 0, 2, -3, -2, -3, 1 ], [ 0, -1, 1, -1, 2, -2, 0, 1, 0, 2, 0, 0, -2, 3, 2, 3, -1 ], [ 0, 1, -1, 1, -2, 2, 0, -1\
, 0, -2, 0, 0, 2, -3, -2, -3, 0 ], [ 0, -1, 1, -1, 2, -2, 0, 1, 0, 2, 0, 0, -2, 3, 2, 3, 0 ], [ 0, 1, -1, 1, -2, 2, 0, -1, 1, -3, 1, 1, 1, -4, -3, -4, -1 \
], [ 0, -1, 1, -1, 2, -2, 0, 1, -1, 3, -1, -1, -1, 4, 3, 4, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, \
-1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -\
1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ]\
, [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 21, \
14, 32, 44, 36, 28, 20, 16, 12, 4 ], [ 20, 15, 32, 44, 36, 28, 20, 16, 12, 4 ], [ -30, -21, -47, -66, -54, -42, -30, -24, -18, -6 ], [ 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 20, 14, 32, 44, 36, 28, 21, 16, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
 ], [ -20, -14, -32, -44, -36, -28, -20, -16, -11, -4 ], [ 20, 14, 32, 44, 36, 28, 20, 16, 12, 5 ] ], thegtilde := [ [ 1, 32, -14, 16, -34, 0, 32, 0, 2, 3\
2, 32, 0, -16, -16, 0, -32, 0, -16, 0, 0, -48, -32, -15, -49, 8, -47 ], [ 0, 23, -10, 11, -23, 0, 22, 0, 1, 22, 23, 0, -11, -12, -1, -22, 0, -11, 0, 2, -3\
3, -23, -11, -35, 6, -33 ], [ 0, 40, -17, 20, -42, 0, 40, 0, 2, 40, 40, 0, -20, -20, 0, -40, 0, -20, 0, 0, -60, -40, -19, -61, 9, -59 ], [ 0, 64, -28, 33,\
 -68, 0, 64, 0, 4, 64, 64, 0, -32, -32, 0, -64, 0, -32, 0, 0, -96, -64, -30, -98, 16, -94 ], [ 0, 56, -24, 28, -59, 0, 56, 0, 4, 56, 56, 0, -28, -28, 0, -\
56, 0, -28, 0, 0, -84, -56, -26, -86, 13, -82 ], [ 0, 44, -19, 22, -47, 1, 44, 0, 3, 44, 45, 0, -23, -23, 0, -45, 1, -22, 1, 1, -67, -45, -22, -69, 9, -65\
 ], [ 0, 28, -12, 14, -30, 0, 29, 0, 2, 28, 28, 0, -14, -14, 0, -28, 0, -14, 0, 0, -42, -28, -13, -43, 6, -41 ], [ 0, 24, -11, 12, -25, 0, 24, 1, 1, 24, 2\
5, 0, -13, -13, 0, -25, 1, -12, 1, 1, -37, -25, -13, -38, 4, -36 ], [ 0, 12, -6, 6, -12, 0, 12, 0, 1, 12, 12, 0, -6, -6, 0, -12, 0, -6, 0, 0, -18, -12, -6\
, -19, 3, -18 ], [ 0, 8, -4, 4, -8, 0, 8, 0, 0, 9, 8, 0, -5, -4, 0, -9, 1, -4, 1, 0, -13, -8, -5, -14, 1, -12 ], [ 0, -4, 2, -2, 4, 0, -4, 0, 0, -4, -3, 0\
, 2, 2, 0, 4, 0, 2, 0, 0, 6, 4, 2, 5, -1, 6 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, -1, -2, -2, 0, -4, 0, -2, 0, 0, -6, -2, -1, -6, 1, -5 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, -2, 2, 0, 2, -2, -2, 0, -2, -2, -3, 0 ], [ 0, -4, 2, -2, 4, 0, -4, 0, 0, -4, -2, 0, 2, 1, 0, 4, 0, 2, 0, 2, 6, 2, 1, 5,\
 -1, 5 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, -1, -4, 0, -2, 0, 2, -6, -4, -2, -6, 1, -6 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, -2\
, -3, 0, -2, 0, 2, -6, -4, -2, -6, 2, -6 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, 0, -4, 1, -2, 0, 0, -6, -4, -2, -7, 0, -6 ], [ 0, 4, -2, 2, -4\
, 0, 4, 0, 0, 4, 4, 0, -2, -2, 0, -4, 0, -1, 0, 0, -6, -4, -2, -6, 1, -6 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, 0, -4, 0, -2, 1, 0, -6, -4, -2\
, -7, 0, -6 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, 0, -4, 0, -2, 0, 1, -6, -4, -2, -6, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4,\
 0, -2, -2, 0, -4, 0, -2, 0, 0, -6, -4, -1, -6, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 4, 4, 0, -2, -2, 0, -4, 0, -2, 0, 0, -6, -4, -2, -6, 1\
, -5 ] ] ), rec( GramQ := [ [ -16, -76, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -76, -588, -98, -142, -133, 28, -42, -30, -48, -52, -11, \
-17, -28, 4, -22, 30, -6 ], [ -20, -98, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -142, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0\
, 0, 12, 0 ], [ -24, -133, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 28, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], \
[ 0, -42, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -30, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -48, -4, \
-6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -52, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -11, 3, 6, 2, -2, -5, -3\
, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -17, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -28, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, \
-8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -22, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8, \
12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 0, -2, 2, -4, \
-4, 2, -6 ], [ -4, -8, 4, -4, 2, -4, -4, 2, -6 ], [ 0, 4, -28, 4, -6, 0, 0, 2, -6 ], [ -2, -4, 4, -8, 4, -4, -4, 2, -6 ], [ 2, 2, -6, 4, -8, 4, 2, 0, 0 ],\
 [ -4, -4, 0, -4, 4, -8, -2, 2, -6 ], [ -4, -4, 0, -4, 2, -2, -8, 4, -6 ], [ 2, 2, 2, 2, 0, 2, 4, -4, 4 ], [ -6, -6, -6, -6, 0, -6, -6, 4, -12 ] ], Sigma \
:= [ [ -1, 1, -1, 2, -4, 1, 0, -3, 0, -4, 0, 0, 5, -4, -4, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0,\
 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 10, -22, 10, 10, 2, -4, 20, 6, 1, -17, -12, 0, -23\
, 2, -17, 1, 0, -22, -22, -2, -19, 1, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0,\
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[ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 1, 0, 0, -1, 0, 0, 0, 2, -1, 2, 1, 0, -2, -1, 0, \
-2, 2, -2, 0, 0, -1, -1, 0, -2, -2, -3 ], [ 1, -4, 2, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, 1, 0, 0, 1, -2, 0, 0, 1, 1, 2, 1, -2, -1 ], [ -3, 4, -2, 2, -1, 0, \
0, 2, 2, -6, 3, 0, 2, -3, 0, 0, -1, -2, 0, 0, 1, 1, -2, -1, 1, -1 ], [ 3, 0, 0, -1, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -1, 0, 0, -1, -1, -1, -1, \
-1, -3 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 1, 0, 0, 0, 1, -4, 2, 2, -2, 2, 1, 0, 0, 1, 0, 0, 1, 0\
, 0, 0, -2, 1, 1, -1, -1, -4 ], [ 1, 0, 0, 0, -1, 2, -4, 4, -2, 2, 1, 0, -4, -3, 0, -4, 1, -4, 0, 0, 1, -2, -1, -1, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2\
, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r :=\
 [ 16, 11, 24, 34, 30, 22, 16, 12, 8, 2 ], rlifts := [ [ -1, 2, -1, 2, -4, 2, 2, 0, -1, 4, 1, 0, -3, -2, 0, -4, 0, -3, 0, 0, -4, -4, 0, -3, 0, -3 ] ], roo\
tsQ := [ [ -1, 1, -1, 2, -4, 1, 0, -3, -1, -3, -1, -1, 6, -3, -3, -2, 2 ], [ 1, -1, 1, -2, 4, -1, 0, 3, 1, 3, 1, 1, -6, 3, 3, 2, -2 ], [ -1, 1, -1, 2, -4,\
 1, 0, -3, 0, -4, 0, 0, 5, -4, -4, -3, 1 ], [ 1, -1, 1, -2, 4, -1, 0, 3, 0, 4, 0, 0, -5, 4, 4, 3, -1 ], [ -1, 1, -1, 2, -4, 1, 0, -3, 0, -4, 0, 0, 5, -4, \
-4, -3, 0 ], [ 1, -1, 1, -2, 4, -1, 0, 3, 0, 4, 0, 0, -5, 4, 4, 3, 0 ], [ -1, 1, -1, 2, -4, 1, 0, -3, 1, -5, 1, 1, 4, -5, -5, -4, -1 ], [ 1, -1, 1, -2, 4,\
 -1, 0, 3, -1, 5, -1, -1, -4, 5, 5, 4, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2,\
 -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1\
, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -\
1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 33, 22, 48, 68, 60, 44, 3\
2, 24, 16, 4 ], [ 32, 23, 48, 68, 60, 44, 32, 24, 16, 4 ], [ -48, -33, -71, -102, -90, -66, -48, -36, -24, -6 ], [ 32, 22, 48, 69, 60, 44, 32, 24, 16, 4 ]\
, [ -64, -44, -96, -136, -119, -88, -64, -48, -32, -8 ], [ 32, 22, 48, 68, 60, 45, 32, 24, 16, 4 ], [ 32, 22, 48, 68, 60, 44, 33, 24, 16, 4 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ -32, -22, -48, -68, -60, -44, -32, -24, -15, -4 ], [ 64, 44, 96, 136, 120, 88, 64, 48, 32, 9 ] ], thegtilde := [ [ -21, 44, -20, \
44, -90, 44, 44, 0, -20, 88, 22, 0, -66, -44, 0, -88, 0, -66, 0, 0, -88, -88, 1, -67, 11, -65 ], [ -15, 31, -14, 30, -61, 30, 30, 0, -14, 60, 16, 0, -45, \
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 1, -79, 12, -77 ], [ -42, 84, -38, 85, -172, 84, 84, 0, -38, 168, 42, 0, -126, -84, 0, -168, 0, -126, 0, 0, -168, -168, 2, -128, 21, -124 ], [ -36, 72, -\
32, 72, -147, 72, 72, 0, -32, 144, 36, 0, -108, -72, 0, -144, 0, -108, 0, 0, -144, -144, 2, -110, 17, -106 ], [ -28, 56, -25, 56, -115, 57, 56, 0, -25, 11\
2, 29, 0, -85, -57, 0, -113, 1, -84, 1, 1, -113, -113, 0, -87, 12, -83 ], [ -18, 36, -16, 36, -74, 36, 37, 0, -16, 72, 18, 0, -54, -36, 0, -72, 0, -54, 0,\
 0, -72, -72, 1, -55, 8, -53 ], [ -18, 36, -17, 36, -73, 36, 36, 1, -17, 72, 19, 0, -55, -37, 0, -73, 1, -54, 1, 1, -73, -73, -1, -56, 7, -54 ], [ -8, 16,\
 -8, 16, -32, 16, 16, 0, -7, 32, 8, 0, -24, -16, 0, -32, 0, -24, 0, 0, -32, -32, 0, -25, 4, -24 ], [ -6, 12, -6, 12, -24, 12, 12, 0, -6, 25, 6, 0, -19, -1\
2, 0, -25, 1, -18, 1, 0, -25, -24, -1, -20, 2, -18 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -2, 4, -2, 4, -\
8, 4, 4, 0, -2, 8, 2, -1, -6, -4, 0, -8, 0, -6, 0, 0, -8, -6, 1, -6, 1, -5 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -7, -4, 2, -10, 2, -6, 2, -2, -10,\
 -8, -2, -8, -2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -6\
, -4, -1, -8, 0, -6, 0, 2, -8, -8, 0, -6, 1, -6 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, -2, -7, 0, -6, 0, 2, -8, -8, 0, -6, 2, -6 ], [ -2, 4,\
 -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 1, -6, 0, 0, -8, -8, 0, -7, 0, -6 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 0, -5, 0, 0\
, -8, -8, 0, -6, 1, -6 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 0, -6, 1, 0, -8, -8, 0, -7, 0, -6 ], [ -2, 4, -2, 4, -8, 4, 4, 0, -2, 8\
, 2, 0, -6, -4, 0, -8, 0, -6, 0, 1, -8, -8, 0, -6, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0 ], [ -4, 8, -4, 8, -16, 8, 8, 0, -4, 16, 4, 0, -12, -8, 0, -16, 0, -12, 0, 0, -16, -16, 0, -12, 2, -11 ] ] ), rec( GramQ := [ [ -16, -92, -20, -30,\
 -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -92, -756, -124, -178, -163, 42, -38, -28, -50, -50, -3, -9, -24, 4, -18, 40, -10 ], [ -20, -124, -28, -40\
, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -178, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -163, -33, -48, -42, 10, -5\
, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 42, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -38, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8\
, -8, 2, -6, 0, -2 ], [ 0, -28, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -50, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2\
, 0 ], [ -4, -50, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3\
, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2,\
 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 40, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], \
[ 0, -10, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 12, -2, 8, -4, -4, -4, 6 ], [ -4, -8, 16, -4, 8, -4, -4, -4, 6 \
], [ 12, 16, -52, 16, -24, 12, 12, 12, -18 ], [ -2, -4, 16, -8, 10, -4, -4, -4, 6 ], [ 8, 8, -24, 10, -20, 10, 8, 8, -12 ], [ -4, -4, 12, -4, 10, -8, -2, \
-4, 6 ], [ -4, -4, 12, -4, 8, -2, -8, -2, 6 ], [ -4, -4, 12, -4, 8, -4, -2, -8, 8 ], [ 6, 6, -18, 6, -12, 6, 6, 8, -12 ] ], Sigma := [ [ 0, 1, -1, 2, -5, \
2, 0, -3, 0, -4, 1, 0, 5, -3, -3, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1\
, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 10, -26, 10, 10, 10, -4, 12, 10, 1, -17, -16, 0, -23, 6, -25, 1, 0, -18, -1\
8, -2, -19, -3, -22 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, -18, 2, 0, 0\
, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, -3, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0\
, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0\
, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2\
, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 6, -12, 2, 0, 6, -2, \
0, 4, -2, 0, 0, 0, 4, 4, -2, 1, 2, 4 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0\
, 0, 3, -8, -1, 0, 3, -1, 0, 3, 0, -2, 0, 0, 4, 3, 1, 3, 0, 5 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ \
0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -\
3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 2, -6, 1, 0, 2, -1, 0, 2, 1, -2, 0, 0, 3, 3, 0, 1, -1, 1 ] ], r := [ 16, 11, 24, 34, 30, 22, 16, 12, 10, \
4 ], rlifts := [ [ 0, 2, -1, 2, -5, 2, 2, 2, -1, 2, 2, 0, -3, -3, 0, -4, 1, -5, 0, 0, -3, -3, 0, -3, -1, -4 ] ], rootsQ := [ [ 0, 1, -1, 2, -5, 2, 0, -3, \
-1, -3, 0, -1, 6, -2, -2, -2, 1 ], [ 0, -1, 1, -2, 5, -2, 0, 3, 1, 3, 0, 1, -6, 2, 2, 2, -1 ], [ 0, 1, -1, 2, -5, 2, 0, -3, 0, -4, 1, 0, 5, -3, -3, -3, 0 \
], [ 0, -1, 1, -2, 5, -2, 0, 3, 0, 4, -1, 0, -5, 3, 3, 3, 0 ], [ 0, 1, -1, 2, -5, 2, 0, -3, 0, -4, 1, 0, 5, -3, -3, -3, -1 ], [ 0, -1, 1, -2, 5, -2, 0, 3,\
 0, 4, -1, 0, -5, 3, 3, 3, 1 ], [ 0, 1, -1, 2, -5, 2, 0, -3, 1, -5, 2, 1, 4, -4, -4, -4, -2 ], [ 0, -1, 1, -2, 5, -2, 0, 3, -1, 5, -2, -1, -4, 4, 4, 4, 2 \
], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0,\
 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1,\
 -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, \
0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ \
0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, \
0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 33, 22, 48, 68, 60, 44, 32, 24, 20, 8 ], [ 32, 23, 48, 68, 60, 44,\
 32, 24, 20, 8 ], [ -48, -33, -71, -102, -90, -66, -48, -36, -30, -12 ], [ 32, 22, 48, 69, 60, 44, 32, 24, 20, 8 ], [ -64, -44, -96, -136, -119, -88, -64,\
 -48, -40, -16 ], [ 32, 22, 48, 68, 60, 45, 32, 24, 20, 8 ], [ 32, 22, 48, 68, 60, 44, 33, 24, 20, 8 ], [ 32, 22, 48, 68, 60, 44, 32, 25, 20, 8 ], [ -64, \
-44, -96, -136, -120, -88, -64, -48, -39, -16 ], [ 32, 22, 48, 68, 60, 44, 32, 24, 20, 9 ] ], thegtilde := [ [ 1, 52, -24, 52, -132, 52, 52, 52, -24, 52, \
52, 0, -78, -78, 0, -104, 26, -130, 0, 0, -78, -78, 1, -79, -13, -103 ], [ 0, 35, -16, 34, -86, 34, 34, 34, -16, 34, 35, 0, -51, -52, -1, -68, 17, -85, 0,\
 2, -51, -52, 0, -53, -8, -68 ], [ 0, 64, -29, 64, -162, 64, 64, 64, -30, 64, 64, 0, -96, -96, 0, -128, 32, -160, 0, 0, -96, -96, 1, -97, -17, -127 ], [ 0\
, 104, -48, 105, -264, 104, 104, 104, -48, 104, 104, 0, -156, -156, 0, -208, 52, -260, 0, 0, -156, -156, 2, -158, -26, -206 ], [ 0, 88, -40, 88, -223, 88,\
 88, 88, -40, 88, 88, 0, -132, -132, 0, -176, 44, -220, 0, 0, -132, -132, 2, -134, -23, -174 ], [ 0, 68, -31, 68, -173, 69, 68, 68, -31, 68, 69, 0, -103, \
-103, 0, -137, 35, -170, 1, 1, -103, -103, 0, -105, -19, -135 ], [ 0, 44, -20, 44, -112, 44, 45, 44, -20, 44, 44, 0, -66, -66, 0, -88, 22, -110, 0, 0, -66\
, -66, 1, -67, -12, -87 ], [ 0, 40, -19, 40, -101, 40, 40, 41, -19, 40, 41, 0, -61, -61, 0, -81, 21, -100, 1, 1, -61, -61, -1, -62, -12, -80 ], [ 0, 20, -\
10, 20, -50, 20, 20, 20, -9, 20, 20, 0, -30, -30, 0, -40, 10, -50, 0, 0, -30, -30, 0, -31, -5, -40 ], [ 0, 16, -8, 16, -40, 16, 16, 16, -8, 17, 16, 0, -25\
, -24, 0, -33, 9, -40, 1, 0, -25, -24, -1, -26, -5, -32 ], [ 0, -4, 2, -4, 10, -4, -4, -4, 2, -4, -3, 0, 6, 6, 0, 8, -2, 10, 0, 0, 6, 6, 0, 5, 1, 8 ], [ 0\
, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, -1, -6, -6, 0, -8, 2, -10, 0, 0, -6, -4, 1, -6, -1, -7 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, 0, -7, -6, 2, -10, 4,\
 -10, 2, -2, -8, -6, -2, -8, -4, -8 ], [ 0, -4, 2, -4, 10, -4, -4, -4, 2, -4, -2, 0, 6, 5, 0, 8, -2, 10, 0, 2, 6, 4, -1, 5, 1, 7 ], [ 0, 4, -2, 4, -10, 4,\
 4, 4, -2, 4, 4, 0, -6, -6, -1, -8, 2, -10, 0, 2, -6, -6, 0, -6, -1, -8 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, 0, -6, -6, -2, -7, 2, -10, 0, 2, -6, -6,\
 0, -6, 0, -8 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, 0, -6, -6, 0, -8, 3, -10, 0, 0, -6, -6, 0, -7, -2, -8 ], [ 0, 8, -4, 8, -20, 8, 8, 8, -4, 8, 8, 0,\
 -12, -12, 0, -16, 4, -19, 0, 0, -12, -12, 0, -12, -2, -16 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, 0, -6, -6, 0, -8, 2, -10, 1, 0, -6, -6, 0, -7, -2, -8\
 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -2, 4, 4, 0, -6, -6, 0, -8, 2, -10, 0, 1, -6, -6, 0, -6, -1, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 8, -4, 8, -20, 8, 8, 8, -4, 8, 8, 0, -12, -12, 0, -16, 4, -20, 0, 0, -12, -12, 0, -12, -2, -15 ] ] \
), rec( GramQ := [ [ -16, -55, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -55, -376, -70, -100, -97, 22, -36, -26, -40, -44, -13, -17, -24, \
2, -18, 22, -6 ], [ -20, -70, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -100, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0\
 ], [ -24, -97, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 22, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -36, -\
1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -26, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -40, -4, -6, -9, 3, \
-8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -44, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -13, 3, 6, 2, -2, -5, -3, -3, -3, -\
6, -5, -4, 0, -2, -2, -2 ], [ 3, -17, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, \
0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 22, 8, 12, 10, -4,\
 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -16, -12, -18, -10, -18, 0, -12, \
-8, -24 ], [ -12, -16, -16, -12, -18, 0, -12, -8, -24 ], [ -18, -16, -40, -16, -36, 0, -18, -12, -42 ], [ -10, -12, -16, -16, -16, 0, -12, -8, -24 ], [ -1\
8, -18, -36, -16, -40, 2, -18, -12, -42 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -12, -12, -18, -12, -18, 2, -16, -6, -24 ], [ -8, -8, -12, -8, -12, 0, -6, -8\
, -16 ], [ -24, -24, -42, -24, -42, 0, -24, -16, -52 ] ], Sigma := [ [ -1, 1, -2, 2, -2, 1, 0, -3, 0, -4, 0, 0, 4, -4, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2,\
 -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0\
, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := \
[ -4, 12, -5, 10, -18, 2, 10, 10, -8, 20, 6, 1, -17, -12, 0, -23, 2, -17, 1, 0, -22, -18, 0, -17, -1, -24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -12, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -8 ], [ 0, 0, 1, 0, 0, 0,\
 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0,\
 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], e\
mbQperp := [ [ 2, 0, 0, -1, -1, 0, 0, 4, -1, 0, 2, 0, -2, -2, 0, -2, 3, -4, 0, 0, 0, 0, 0, -2, -3, -4 ], [ 2, -4, 2, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, 0, 0\
, 0, 2, -4, 0, 0, 2, 2, 2, 1, -3, -2 ], [ 1, 2, -1, 1, -3, 0, 0, 6, 0, -6, 4, 0, 0, -4, 0, -1, 2, -6, 0, 0, 2, 2, -1, -1, -2, -4 ], [ 4, 0, 0, -1, -2, 0, \
0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -3, 0, 0, 0, 0, -1, -1, -2, -4 ], [ 2, 0, 0, 1, -5, 2, 0, 6, -1, -6, 2, 0, -1, -4, 0, -1, 3, -8, 0, 0, 3, 2, 1, 1, -3\
, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 2, 0, 0, 0, -2, 2, -4, 6, -2, 0, 2, 0, -4, -4, 0, -4, 2, -6\
, 0, 0, 2, -1, -1, -1, -2, -5 ], [ 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, -1, 0, 0, -2, -1, -2 ], [ 4, 0, 0, 0, -4, 0, 0, 8, -2, -4\
, 4, 0, -2, -4, 0, -2, 4, -8, 0, 0, 2, 2, 0, -1, -4, -6 ] ], r := [ 16, 11, 24, 34, 30, 23, 16, 11, 8, 2 ], rlifts := [ [ -1, 2, -2, 2, -2, 0, 2, 2, -3, 4\
, 1, 0, -3, -2, 0, -4, 0, -3, 0, 0, -4, -3, 0, -2, 0, -5 ] ], rootsQ := [ [ -1, 1, -1, 2, -3, 0, 0, -3, -1, -4, 0, 0, 5, -4, -2, -2, 0 ], [ 1, -1, 1, -2, \
3, 0, 0, 3, 1, 4, 0, 0, -5, 4, 2, 2, 0 ], [ -1, 1, -2, 2, -2, 1, 0, -3, 0, -4, 0, 0, 4, -4, -3, -2, 0 ], [ 1, -1, 2, -2, 2, -1, 0, 3, 0, 4, 0, 0, -4, 4, 3\
, 2, 0 ], [ -1, 1, 0, 2, -4, 1, 0, -3, 0, -4, 0, 0, 5, -4, -3, -3, 0 ], [ 1, -1, 0, -2, 4, -1, 0, 3, 0, 4, 0, 0, -5, 4, 3, 3, 0 ], [ -1, 1, -1, 2, -3, 2, \
0, -3, 1, -4, 0, 0, 4, -4, -4, -3, 0 ], [ 1, -1, 1, -2, 3, -2, 0, 3, -1, 4, 0, 0, -4, 4, 4, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, \
2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
-1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, \
0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "\
A1", "A1", "A3" ], theg := [ [ 33, 22, 48, 68, 60, 46, 32, 22, 16, 4 ], [ 32, 23, 48, 68, 60, 46, 32, 22, 16, 4 ], [ -48, -33, -71, -102, -90, -69, -48, -\
33, -24, -6 ], [ 32, 22, 48, 69, 60, 46, 32, 22, 16, 4 ], [ -48, -33, -72, -102, -89, -69, -48, -33, -24, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 32, 22\
, 48, 68, 60, 46, 33, 22, 16, 4 ], [ 32, 22, 48, 68, 60, 46, 32, 23, 16, 4 ], [ -48, -33, -72, -102, -90, -69, -48, -33, -23, -6 ], [ 64, 44, 96, 136, 120\
, 92, 64, 44, 32, 9 ] ], thegtilde := [ [ -21, 44, -20, 44, -68, 0, 44, 44, -42, 88, 22, 0, -66, -44, 0, -88, 0, -66, 0, 0, -88, -66, 12, -56, 0, -98 ], [\
 -15, 31, -14, 30, -46, 0, 30, 30, -29, 60, 15, 0, -45, -30, -1, -61, 1, -45, 1, 2, -61, -46, 7, -40, -1, -68 ], [ -26, 52, -23, 52, -80, 0, 52, 52, -50, \
104, 26, 0, -78, -52, 0, -104, 0, -78, 0, 0, -104, -78, 14, -66, -1, -116 ], [ -42, 84, -38, 85, -130, 0, 84, 84, -80, 168, 42, 0, -126, -84, 0, -168, 0, \
-126, 0, 0, -168, -126, 23, -107, 0, -187 ], [ -36, 72, -32, 72, -111, 0, 72, 72, -68, 144, 36, 0, -108, -72, 0, -144, 0, -108, 0, 0, -144, -108, 20, -92,\
 -1, -160 ], [ -29, 58, -26, 58, -90, 1, 58, 58, -55, 116, 29, 0, -88, -58, -1, -117, 1, -87, 1, 1, -117, -87, 15, -75, -2, -129 ], [ -18, 36, -16, 36, -5\
6, 0, 37, 36, -34, 72, 18, 0, -54, -36, 0, -72, 0, -54, 0, 0, -72, -54, 10, -46, -1, -80 ], [ -17, 34, -16, 34, -52, 0, 34, 35, -33, 68, 17, 0, -52, -34, \
-1, -69, 1, -51, 1, 1, -69, -51, 8, -44, -2, -76 ], [ -8, 16, -8, 16, -24, 0, 16, 16, -15, 32, 8, 0, -24, -16, 0, -32, 0, -24, 0, 0, -32, -24, 4, -21, 0, \
-36 ], [ -6, 12, -6, 12, -18, 0, 12, 12, -12, 25, 6, 0, -19, -12, 0, -25, 1, -18, 1, 0, -25, -18, 2, -17, -1, -27 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, -1, -6, -4, 0, -8, 0, -6, 0, 0, -8, -4, 2, -5, 0, -8 ], [ -2, 4, -2, \
4, -6, 0, 4, 4, -4, 8, 2, 0, -7, -4, 0, -8, 0, -6, 0, -2, -8, -4, 1, -5, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, \
0, 0, 0 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, -1, -8, 0, -6, 0, 2, -8, -6, 1, -5, 0, -9 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4\
, 0, -9, 2, -6, 2, 2, -10, -8, -1, -7, -2, -11 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 1, -6, 0, 0, -8, -6, 1, -6, -1, -9 ], [ -2, 4, \
-2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 0, -5, 0, 0, -8, -6, 1, -5, 0, -9 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 0, -6, 1, 0,\
 -8, -6, 1, -6, -1, -9 ], [ -2, 4, -2, 4, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 0, -6, 0, 1, -8, -6, 1, -5, 0, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -4, 8, -4, 8, -12, 0, 8, 8, -8, 16, 4, 0, -12, -8, 0, -16, 0, -12, 0, 0, -16, -12,\
 2, -10, 0, -17 ] ] ), rec( GramQ := [ [ -16, -51, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -51, -296, -64, -94, -89, 18, -32, -22, -36, -\
42, -9, -13, -22, 6, -18, 20, -2 ], [ -20, -64, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -94, -40, -60, -48, 12, 0, 0, -6, -6, 6, \
6, 0, 0, 0, 12, 0 ], [ -24, -89, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 18, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4,\
 0 ], [ 0, -32, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -36\
, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -42, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -\
5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -22, 0, 0, -4, 0, -8, -4, -8, -6, -4,\
 -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 20\
, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 6, -2, 6,\
 -4, 0, 0, 0 ], [ -4, -8, 8, -4, 6, -4, 0, 0, 0 ], [ 6, 8, -16, 8, -12, 6, 0, 2, -6 ], [ -2, -4, 8, -8, 8, -4, 0, 0, 0 ], [ 6, 6, -12, 8, -16, 8, 0, 2, -6\
 ], [ -4, -4, 6, -4, 8, -8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 2, 0, 2, 0, 2, -4, 4 ], [ 0, 0, -6, 0, -6, 0, 0, 4, -12 ] ], Sigma := [ [ -\
1, 1, -2, 2, -2, 1, 0, -2, 0, -3, 0, 0, 3, -2, -3, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 10, -18, 10, 2, 2, 0, 12, 6, 1, -13, -12, 0, -19, 2, -17, \
1, 0, -14, -18, -4, -17, 3, -16 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 0, \
-10, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0,\
 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0\
, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2,\
 0, 2, -2, 0, 1, 0, -2, 0, 0, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ 0, 0, 0, 1\
, -3, 2, 0, 2, 1, -6, 0, 0, 1, -2, 0, 1, 1, -4, 0, 0, 3, 2, 1, 2, -1, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0\
, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2,\
 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 10, 7, 16, 22, 20, 15, 12\
, 9, 6, 2 ], rlifts := [ [ -1, 2, -2, 2, -2, 2, 0, 0, -1, 2, 1, 0, -2, -2, 0, -3, 0, -3, 0, 0, -2, -3, -1, -2, 1, -3 ] ], rootsQ := [ [ -1, 1, -1, 2, -3, \
0, 0, -2, -1, -3, 0, 0, 4, -2, -2, -2, 1 ], [ 1, -1, 1, -2, 3, 0, 0, 2, 1, 3, 0, 0, -4, 2, 2, 2, -1 ], [ -1, 1, -2, 2, -2, 1, 0, -2, 0, -3, 0, 0, 3, -2, -\
3, -2, 1 ], [ 1, -1, 2, -2, 2, -1, 0, 2, 0, 3, 0, 0, -3, 2, 3, 2, -1 ], [ -1, 1, 0, 2, -4, 1, 0, -2, 0, -3, 0, 0, 4, -2, -3, -3, 1 ], [ 1, -1, 0, -2, 4, -\
1, 0, 2, 0, 3, 0, 0, -4, 2, 3, 3, -1 ], [ -1, 1, -1, 2, -3, 2, 0, -2, 1, -3, 0, 0, 3, -2, -4, -3, 1 ], [ 1, -1, 1, -2, 3, -2, 0, 2, -1, 3, 0, 0, -3, 2, 4,\
 3, -1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], \
[ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1,\
 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, \
1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, \
0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 21, 14, 32, 44, 40, 30, 24, 18, 12, 4 ], [ 20, 15, 32, 44, \
40, 30, 24, 18, 12, 4 ], [ -30, -21, -47, -66, -60, -45, -36, -27, -18, -6 ], [ 20, 14, 32, 45, 40, 30, 24, 18, 12, 4 ], [ -30, -21, -48, -66, -59, -45, -\
36, -27, -18, -6 ], [ 20, 14, 32, 44, 40, 31, 24, 18, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -10, -7, -16, -22, -2\
0, -15, -12, -9, -5, -2 ], [ 20, 14, 32, 44, 40, 30, 24, 18, 12, 5 ] ], thegtilde := [ [ -15, 32, -14, 32, -50, 32, 0, 0, 2, 32, 16, 0, -32, -32, 0, -48, \
0, -48, 0, 0, -32, -48, -7, -41, 16, -39 ], [ -11, 23, -10, 22, -34, 22, 0, 0, 1, 22, 11, 0, -22, -22, -1, -34, 1, -33, 1, 2, -23, -34, -6, -30, 10, -28 ]\
, [ -18, 36, -15, 36, -56, 36, 0, 0, 2, 36, 18, 0, -36, -36, 0, -54, 0, -54, 0, 0, -36, -54, -8, -46, 17, -44 ], [ -30, 60, -26, 61, -94, 60, 0, 0, 4, 60,\
 30, 0, -60, -60, 0, -90, 0, -90, 0, 0, -60, -90, -13, -77, 30, -73 ], [ -26, 52, -22, 52, -81, 52, 0, 0, 4, 52, 26, 0, -52, -52, 0, -78, 0, -78, 0, 0, -5\
2, -78, -11, -67, 25, -63 ], [ -21, 42, -18, 42, -66, 43, 0, 0, 3, 42, 21, 0, -43, -42, -1, -64, 1, -63, 1, 1, -43, -63, -10, -55, 19, -51 ], [ -14, 28, -\
12, 28, -44, 28, 1, 0, 2, 28, 14, 0, -28, -28, 0, -42, 0, -42, 0, 0, -28, -42, -6, -36, 13, -34 ], [ -15, 30, -14, 30, -46, 30, 0, 1, 1, 30, 15, 0, -31, -\
30, -1, -46, 1, -45, 1, 1, -31, -45, -8, -39, 13, -37 ], [ -6, 12, -6, 12, -18, 12, 0, 0, 1, 12, 6, 0, -12, -12, 0, -18, 0, -18, 0, 0, -12, -18, -3, -16, \
6, -15 ], [ -6, 12, -6, 12, -18, 12, 0, 0, 0, 13, 6, 0, -13, -12, 0, -19, 1, -18, 1, 0, -13, -18, -4, -17, 5, -15 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, -1, -4, -4, 0, -6, 0, -6, 0, 0, -4, -4, 0, -5, 2, -4 ], [ -2, 4, -2, 4\
, -6, 4, 0, 0, 0, 4, 2, 0, -5, -4, 0, -6, 0, -6, 0, -2, -4, -4, -1, -5, 2, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0\
, 0, 0 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, -1, -6, 0, -6, 0, 2, -4, -6, -1, -5, 2, -5 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, \
0, -7, 2, -6, 2, 2, -6, -8, -3, -7, 0, -7 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 1, -6, 0, 0, -4, -6, -1, -6, 1, -5 ], [ -2, 4, -2, 4,\
 -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 0, -5, 0, 0, -4, -6, -1, -5, 2, -5 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 0, -6, 1, 0, -4, -6\
, -1, -6, 1, -5 ], [ -2, 4, -2, 4, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 0, -6, 0, 1, -4, -6, -1, -5, 2, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -4, 8, -4, 8, -12, 8, 0, 0, 0, 8, 4, 0, -8, -8, 0, -12, 0, -12, 0, 0, -8, -12, -2, -10, 4\
, -9 ] ] ), rec( GramQ := [ [ -16, -30, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -30, -160, -36, -52, -53, 12, -26, -18, -28, -34, -11, -1\
3, -18, 4, -14, 12, -2 ], [ -20, -36, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -52, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0\
, 12, 0 ], [ -24, -53, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 12, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0,\
 -26, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -28, -4, -6, \
-9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -34, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -11, 3, 6, 2, -2, -5, -3, -3\
, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, \
0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 12, 8, 12, \
10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 12, -2, 4, 0, 0, -\
4, 2 ], [ -4, -8, 16, -4, 4, 0, 0, -4, 2 ], [ 12, 16, -52, 16, -12, 0, 0, 12, -6 ], [ -2, -4, 16, -8, 6, 0, 0, -4, 2 ], [ 4, 4, -12, 6, -8, 2, 0, 4, -2 ],\
 [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, -4, 12, -4, 4, 0, 2, -8, 4 ], [ 2, 2, -6, 2, -2, 0, 0, 4, -4 ] ], Sigma := [ [ -1, \
1, -1, 2, -2, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1\
, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 12, -5, 10, -14, 2, 2, 10, -4, 12, 6, 1, -13, -12, 0, -19, 2, -17, 1,\
 0, -14, -14, -2, -15, 1, -22 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 2, -6\
, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, -2, 0, 0, -7 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, \
0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 6, -12, 2, 0\
, 6, -2, 0, 4, -2, 0, 0, 0, 4, 4, -2, 1, 2, 4 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1,\
 -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0,\
 0, -3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 10, 7, 16, 22, 20, 16, 12, 8, \
6, 2 ], rlifts := [ [ -1, 2, -1, 2, -2, 0, 0, 2, -1, 2, 1, 0, -2, -2, 0, -3, 0, -3, 0, 0, -2, -2, 0, -2, 0, -4 ] ], rootsQ := [ [ -1, 1, -1, 2, -2, 1, 0, \
-2, -1, -2, -1, -1, 4, -1, -1, -1, 2 ], [ 1, -1, 1, -2, 2, -1, 0, 2, 1, 2, 1, 1, -4, 1, 1, 1, -2 ], [ -1, 1, -1, 2, -2, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, \
-2, 1 ], [ 1, -1, 1, -2, 2, -1, 0, 2, 0, 3, 0, 0, -3, 2, 2, 2, -1 ], [ -1, 1, -1, 2, -2, 1, 0, -2, 0, -3, 0, 0, 3, -2, -2, -2, 0 ], [ 1, -1, 1, -2, 2, -1,\
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, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [\
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1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1\
, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0\
 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 21, 14, 32, 44, 40, 32, 24, 16, 12, 4 ], [ 20, 15, 32, 44, 4\
0, 32, 24, 16, 12, 4 ], [ -30, -21, -47, -66, -60, -48, -36, -24, -18, -6 ], [ 20, 14, 32, 45, 40, 32, 24, 16, 12, 4 ], [ -20, -14, -32, -44, -39, -32, -2\
4, -16, -12, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 14, 32, 44, 40, 32, 24, 17, 12, 4 ], [ -20, -14, -32, -44, -4\
0, -32, -24, -16, -11, -4 ], [ 20, 14, 32, 44, 40, 32, 24, 16, 12, 5 ] ], thegtilde := [ [ -15, 32, -14, 32, -34, 0, 0, 32, -14, 32, 16, 0, -32, -32, 0, -\
48, 0, -48, 0, 0, -32, -32, 1, -33, 8, -63 ], [ -11, 23, -10, 22, -23, 0, 0, 22, -10, 22, 12, 0, -22, -23, -1, -33, 0, -33, 0, 2, -22, -23, 0, -24, 6, -44\
 ], [ -18, 36, -15, 36, -38, 0, 0, 36, -16, 36, 18, 0, -36, -36, 0, -54, 0, -54, 0, 0, -36, -36, 1, -37, 8, -71 ], [ -30, 60, -26, 61, -64, 0, 0, 60, -26,\
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0, -52, -52, 2, -54, 12, -102 ], [ -22, 44, -19, 44, -47, 1, 0, 44, -19, 44, 23, 0, -45, -45, 0, -67, 1, -66, 1, 1, -45, -45, 0, -47, 9, -87 ], [ -14, 28,\
 -12, 28, -30, 0, 1, 28, -12, 28, 14, 0, -28, -28, 0, -42, 0, -42, 0, 0, -28, -28, 1, -29, 6, -55 ], [ -14, 28, -13, 28, -29, 0, 0, 29, -13, 28, 15, 0, -2\
9, -29, 0, -43, 1, -42, 1, 1, -29, -29, -1, -30, 5, -56 ], [ -6, 12, -6, 12, -12, 0, 0, 12, -5, 12, 6, 0, -12, -12, 0, -18, 0, -18, 0, 0, -12, -12, 0, -13\
, 3, -24 ], [ -6, 12, -6, 12, -12, 0, 0, 12, -6, 13, 6, 0, -13, -12, 0, -19, 1, -18, 1, 0, -13, -12, -1, -14, 2, -24 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, -1, -4, -4, 0, -6, 0, -6, 0, 0, -4, -2, 1, -4, 1, -7 ], [ -2, 4, -\
2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -5, -4, 2, -8, 2, -6, 2, -2, -6, -4, -2, -6, -2, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -\
2, -1, -1, 0, -1 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, -1, -6, 0, -6, 0, 2, -4, -4, 0, -4, 1, -8 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, \
0, -4, -4, -2, -5, 0, -6, 0, 2, -4, -4, 0, -4, 2, -8 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 1, -6, 0, 0, -4, -4, 0, -5, 0, -8 ], [ -2\
, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 0, -5, 0, 0, -4, -4, 0, -4, 1, -8 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 0, -6, \
1, 0, -4, -4, 0, -5, 0, -8 ], [ -2, 4, -2, 4, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 0, -6, 0, 1, -4, -4, 0, -4, 1, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0\
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0, -8, 2, -15 ] ] ), rec( GramQ := [ [ -16, -68, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -68, -410, -90, -130, -119, 29, -29, -20, -38, -\
39, -5, -9, -20, 1, -14, 28, -6 ], [ -20, -90, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -130, -40, -60, -48, 12, 0, 0, -6, -6, 6, \
6, 0, 0, 0, 12, 0 ], [ -24, -119, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 29, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4\
, 0 ], [ 0, -29, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -20, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -3\
8, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -39, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, \
-5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -20, 0, 0, -4, 0, -8, -4, -8, -6, -4,\
 -6, -8, 0, -4, 0, 0 ], [ 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 28\
, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, 2, 4, \
-4, -4, -4, 2 ], [ -4, -8, 6, 0, 4, -4, -4, -4, 2 ], [ 4, 6, -8, 2, -4, 4, 4, 4, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 4, -4, 2, -8, 6, 4, 4, -2 ], [\
 -4, -4, 4, 0, 6, -12, 0, -12, 4 ], [ -4, -4, 4, 0, 4, 0, -8, 0, 2 ], [ -4, -4, 4, 0, 4, -12, 0, -20, 6 ], [ 2, 2, -2, 0, -2, 4, 2, 6, -4 ] ], Sigma := [ \
[ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 0, 0, 3, -3, -2, -2, 0 ], [ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 0, 0, 4, -3, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, \
-1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, \
0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, \
-3, 4, -12, 4, 6, 4, -2, 8, 4, 1, -9, -8, 0, -13, 2, -9, 1, 0, -12, -11, -3, -11, -1, -11 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 1, 2, 1, -14, 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, \
0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,\
 -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0\
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, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 4, -4, \
0, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0\
, 0, 0, 0, 0, 0, 4, -8, 2, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, -2, 0, -3, 2, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1,\
 0, 0, -1, -1 ] ], r := [ 12, 8, 18, 26, 22, 16, 11, 8, 6, 2 ], rlifts := [ [ 0, 2, -1, 1, -3, 1, 2, 1, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, -1, -3, -2, \
0, -2, 0, -2 ], [ 0, 2, -1, 1, -3, 1, 2, 1, -1, 2, 1, 0, -2, -2, 0, -3, 0, -2, 0, 1, -3, -3, -1, -2, 0, -3 ] ], rootsQ := [ [ 0, 1, -1, 1, -3, 1, 0, -2, 0\
, -3, 0, 0, 3, -3, -2, -2, 0 ], [ 0, -1, 1, -1, 3, -1, 0, 2, 0, 3, 0, 0, -3, 3, 2, 2, 0 ], [ 0, 1, -1, 1, -3, 1, 0, -2, 0, -3, 0, 0, 4, -3, -3, -2, 0 ], [\
 0, -1, 1, -1, 3, -1, 0, 2, 0, 3, 0, 0, -4, 3, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, \
1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0,\
 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1\
, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, \
0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg \
:= [ [ 25, 16, 36, 52, 44, 32, 22, 16, 12, 4 ], [ 24, 17, 36, 52, 44, 32, 22, 16, 12, 4 ], [ -24, -16, -35, -52, -44, -32, -22, -16, -12, -4 ], [ 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0 ], [ -24, -16, -36, -52, -43, -32, -22, -16, -12, -4 ], [ 12, 8, 18, 26, 22, 17, 11, 8, 6, 2 ], [ 24, 16, 36, 52, 44, 32, 23, 16, 12,\
 4 ], [ 12, 8, 18, 26, 22, 16, 11, 9, 6, 2 ], [ -24, -16, -36, -52, -44, -32, -22, -16, -11, -4 ], [ 24, 16, 36, 52, 44, 32, 22, 16, 12, 5 ] ], thegtilde \
:= [ [ 1, 32, -14, 16, -50, 16, 32, 16, -14, 32, 16, 0, -32, -32, 0, -48, 0, -32, 0, 0, -48, -40, -7, -33, 0, -39 ], [ 0, 25, -11, 12, -37, 12, 24, 12, -1\
1, 24, 13, 0, -24, -25, 0, -37, 1, -24, 1, 0, -37, -31, -6, -27, -1, -30 ], [ 0, 40, -17, 20, -62, 20, 40, 20, -18, 40, 20, 0, -40, -40, 0, -60, 0, -40, 0\
, 0, -60, -50, -9, -41, -1, -49 ], [ 0, 64, -28, 33, -100, 32, 64, 32, -28, 64, 32, 0, -64, -64, 0, -96, 0, -64, 0, 0, -96, -80, -14, -66, 0, -78 ], [ 0, \
56, -24, 28, -87, 28, 56, 28, -24, 56, 28, 0, -56, -56, 0, -84, 0, -56, 0, 0, -84, -70, -12, -58, -1, -68 ], [ 0, 44, -19, 22, -69, 23, 44, 22, -19, 44, 2\
3, 0, -45, -45, 0, -67, 1, -44, 1, 1, -67, -56, -11, -47, -2, -54 ], [ 0, 26, -11, 13, -41, 13, 27, 13, -11, 26, 13, 0, -26, -26, 0, -39, 0, -26, 0, -1, -\
39, -32, -5, -27, -1, -31 ], [ 0, 24, -11, 12, -37, 12, 24, 13, -11, 24, 13, 0, -25, -25, 0, -37, 1, -24, 1, 1, -37, -31, -7, -26, -2, -30 ], [ 0, 12, -6,\
 6, -18, 6, 12, 6, -5, 12, 6, 0, -12, -12, 0, -18, 0, -12, 0, 0, -18, -15, -3, -13, 0, -15 ], [ 0, 8, -4, 4, -12, 4, 8, 4, -4, 9, 4, 0, -9, -8, 0, -13, 1,\
 -8, 1, 0, -13, -10, -3, -10, -1, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2\
, 4, 2, -1, -4, -4, 0, -6, 0, -4, 0, 0, -6, -3, 0, -4, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, -1, -6, 0, -4, 0, 0, -6, -\
4, 0, -4, 0, -4 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -7, 2, -4, 2, 2, -8, -7, -3, -6, -2, -7 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0,\
 -4, -4, 0, -6, 1, -4, 0, 0, -6, -5, -1, -5, -1, -5 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -6, 0, -3, 0, 0, -6, -5, -1, -4, 0, -5 ], [ 0, \
4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -6, 0, -4, 1, 0, -6, -5, -1, -5, -1, -5 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -6, 0, -4, 0\
, -1, -6, -4, 0, -4, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -6, 0, -4, 0, 0, -6, -5, 0, -4, 0, -5 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, \
-2, 2, -6, 2, 4, 2, -2, 4, 2, 0, -4, -4, 0, -6, 0, -4, 0, 0, -6, -5, -1, -4, 0, -4 ] ] ), rec( GramQ := [ [ -16, -75, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3\
, 0, 0, 0, 6, 0 ], [ -75, -484, -102, -148, -133, 36, -26, -18, -39, -37, 1, -5, -18, 0, -12, 32, -6 ], [ -20, -102, -28, -40, -33, 8, -1, -1, -4, -3, 3, \
3, 0, 0, 0, 8, -2 ], [ -30, -148, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -133, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2\
, 10, -2 ], [ 6, 36, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -26, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -1\
8, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -39, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -37, -3, -6, -7,\
 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, 1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5\
, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, \
-12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 32, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2,\
 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, 2, 4, -4, -4, 0, 8 ], [ -4, -8, 6, 0, 4, -4, -4, 0, 8 ], [ 4, 6, -8, 2, -4, 4, 4, 0, -8 ], \
[ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 4, -4, 2, -8, 6, 4, 0, -8 ], [ -4, -4, 4, 0, 6, -8, -2, 0, 8 ], [ -4, -4, 4, 0, 4, -2, -8, 2, 8 ], [ 0, 0, 0, 0, 0, 0\
, 2, -4, 4 ], [ 8, 8, -8, 0, -8, 8, 8, 4, -28 ] ], Sigma := [ [ 1, 1, -1, 1, -4, 2, 0, -2, 1, -3, 1, 0, 3, -3, -3, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, \
-1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, \
0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12,\
 -5, 6, -22, 10, 10, 2, 0, 12, 10, 1, -13, -12, 0, -19, 6, -17, 1, 0, -18, -18, -6, -21, -1, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 0, -15, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, \
0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1,\
 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp :=\
 [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2\
, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 \
], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, \
4, 4, 0, 1, -2, 0 ] ], r := [ 12, 8, 18, 26, 22, 16, 12, 10, 8, 3 ], rlifts := [ [ 1, 2, -1, 1, -4, 2, 2, 0, 0, 2, 2, 0, -2, -2, 1, -3, 1, -3, 0, -1, -3, \
-3, -1, -3, 0, -3 ] ], rootsQ := [ [ 1, 1, -1, 1, -4, 2, 0, -2, 0, -3, 1, 0, 4, -3, -3, -3, 0 ], [ -1, -1, 1, -1, 4, -2, 0, 2, 0, 3, -1, 0, -4, 3, 3, 3, 0\
 ], [ 1, 1, -1, 1, -4, 2, 0, -2, 1, -3, 1, 0, 3, -3, -3, -3, 0 ], [ -1, -1, 1, -1, 4, -2, 0, 2, -1, 3, -1, 0, -3, 3, 3, 3, 0 ], [ 1, 1, -1, 1, -4, 2, 0, -\
2, -1, -3, 1, 0, 5, -3, -3, -4, 0 ], [ -1, -1, 1, -1, 4, -2, 0, 2, 1, 3, -1, 0, -5, 3, 3, 4, 0 ], [ 1, 1, -1, 1, -4, 2, 0, -2, 0, -3, 1, 0, 4, -3, -3, -4,\
 0 ], [ -1, -1, 1, -1, 4, -2, 0, 2, 0, 3, -1, 0, -4, 3, 3, 4, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1\
, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [\
 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1,\
 -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0\
 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 25\
, 16, 36, 52, 44, 32, 24, 20, 16, 6 ], [ 24, 17, 36, 52, 44, 32, 24, 20, 16, 6 ], [ -24, -16, -35, -52, -44, -32, -24, -20, -16, -6 ], [ 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0 ], [ -24, -16, -36, -52, -43, -32, -24, -20, -16, -6 ], [ 24, 16, 36, 52, 44, 33, 24, 20, 16, 6 ], [ 24, 16, 36, 52, 44, 32, 25, 20, 16, 6 ], \
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -36, -24, -54, -78, -66, -48, -36, -30, -23, -9 ], [ 24, 16, 36, 52, 44, 32, 24, 20, 16, 7 ] ], thegtilde := [ [ 21, 4\
0, -18, 20, -82, 40, 40, 0, 2, 40, 40, 0, -40, -40, 0, -60, 20, -60, 0, 0, -60, -60, -19, -71, 0, -59 ], [ 14, 29, -13, 14, -57, 28, 28, 0, 1, 28, 29, 0, \
-28, -29, 0, -43, 15, -42, 1, 2, -43, -44, -15, -52, -1, -43 ], [ 26, 52, -23, 26, -106, 52, 52, 0, 2, 52, 52, 0, -52, -52, 0, -78, 26, -78, 0, 0, -78, -7\
8, -25, -92, -1, -77 ], [ 42, 84, -38, 43, -172, 84, 84, 0, 4, 84, 84, 0, -84, -84, 0, -126, 42, -126, 0, 0, -126, -126, -40, -149, 0, -124 ], [ 36, 72, -\
32, 36, -147, 72, 72, 0, 4, 72, 72, 0, -72, -72, 0, -108, 36, -108, 0, 0, -108, -108, -34, -128, -1, -106 ], [ 28, 56, -25, 28, -115, 57, 56, 0, 3, 56, 57\
, 0, -57, -57, 0, -85, 29, -84, 1, 1, -85, -85, -28, -102, -2, -83 ], [ 18, 36, -16, 18, -74, 36, 37, 0, 2, 36, 36, 0, -36, -36, 0, -54, 18, -54, 0, 0, -5\
4, -54, -17, -64, -1, -53 ], [ 16, 32, -15, 16, -65, 32, 32, 1, 1, 32, 33, 0, -33, -33, 0, -49, 17, -48, 1, 1, -49, -49, -17, -59, -2, -48 ], [ 8, 16, -8,\
 8, -32, 16, 16, 0, 1, 16, 16, 0, -16, -16, 0, -24, 8, -24, 0, 0, -24, -24, -8, -28, 0, -24 ], [ 5, 10, -5, 5, -20, 10, 10, 0, 0, 11, 10, 0, -11, -10, 0, \
-16, 6, -15, 1, 0, -16, -15, -6, -19, -1, -15 ], [ -2, -4, 2, -2, 8, -4, -4, 0, 0, -4, -3, 0, 4, 4, 0, 6, -2, 6, 0, 0, 6, 6, 2, 7, 0, 6 ], [ 2, 4, -2, 2, \
-8, 4, 4, 0, 0, 4, 4, -1, -4, -4, 0, -6, 2, -6, 0, 0, -6, -4, -1, -7, 0, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0,\
 0, 2 ], [ -2, -4, 2, -2, 8, -4, -4, 0, 0, -4, -2, 0, 4, 3, 0, 6, -2, 6, 0, 2, 6, 4, 1, 5, 0, 5 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, -1, -6,\
 2, -6, 0, 2, -6, -6, -2, -8, 0, -6 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -7, 4, -6, 2, 2, -8, -8, -4, -10, -2, -8 ], [ 2, 4, -2, 2, -8, 4\
, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 3, -6, 0, 0, -6, -6, -2, -7, -1, -6 ], [ 4, 8, -4, 4, -16, 8, 8, 0, 0, 8, 8, 0, -8, -8, 0, -12, 4, -11, 0, 0, -12, -12,\
 -4, -14, 0, -12 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 2, -6, 1, 0, -6, -6, -2, -7, -1, -6 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, \
-4, -4, 0, -6, 2, -6, 0, 1, -6, -6, -2, -7, 0, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 2, -6, 0, 0, -6, -6, -1, -7, 0, -6 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0 ], [ 2, 4, -2, 2, -8, 4, 4, 0, 0, 4, 4, 0, -4, -4, 0, -6, 2, -6, 0, 0, -6, -6, -2, -7, 0, -5 ] ] ), rec( GramQ := [ [ -16, -38, -20, -30, -24, 6\
, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -38, -192, -48, -70, -67, 16, -24, -16, -29, -31, -9, -13, -18, -2, -12, 14, -2 ], [ -20, -48, -28, -40, -33, 8, \
-1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -70, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -67, -33, -48, -42, 10, -5, -3, -9, -7\
, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 16, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -24, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6,\
 0, -2 ], [ 0, -16, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -29, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4,\
 -31, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3,\
 -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, \
-4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -\
2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, -2, 2, -2, 0, -4, 2, -6 ], [ -4, -8, 0, 0, -2, 0, -4, 2, -6 ], [ -2, 0, -8\
, 2, -4, 0, -2, 2, -6 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ -2, -2, -4, 4, -20, 4, -2, 2, -6 ], [ 0, 0, 0, 0, 4, -4, 2, 0, 0 ], [ -4, -4, -2, 0, -2, 2, -8,\
 4, -6 ], [ 2, 2, 2, 0, 2, 0, 4, -4, 4 ], [ -6, -6, -6, 0, -6, 0, -6, 4, -12 ] ], Sigma := [ [ 0, 1, -1, 1, -2, 1, -1, -1, -1, -2, -1, -1, 5, -3, -2, -2, \
2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0,\
 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, \
0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 6, -14, 2, 10, 2, -4, 20, 6, 1, -13, -8, 0, -19, 2, -9, 1, 0, -22, -18, -4, -19, 1, -20 ], embQ := [ [ 1, 0, 0, 0,\
 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -9, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, -5 ],\
 [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0 ] ], embQperp := [ [ 1, 0, 0, -1, 0, 0, 0, 2, -1, 2, 1, 0, -2, -1, 0, -2, 2, -2, 0, 0, -1, -1, 0, -2, -2, -3 ], [ 1, -4, 2, 0, -1, 0, 0, 2, \
-2, 2, 1, 0, -2, 1, 0, 0, 1, -2, 0, 0, 1, 1, 2, 1, -2, -1 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, 0, -2 ], [\
 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 2, -5, 4, 0, 2, -2, -2, -1, 0, -2, -3, 0, -2, 1, -6, 0, 0, \
1, -1, 2, 2, -1, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 2, -4, 4, -2, 2, 1, 0, -4, -3\
, 0, -4, 1, -4, 0, 0, 1, -2, -1, -1, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0\
, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 12, 8, 18, 26, 22, 17, 12, 9, 6, 1 ], rlifts := [ [ 0, 2, -1, 1, -2, 0, 2, 0\
, -1, 4, 1, -1, -1, -1, -1, -2, -1, -1, -1, 1, -3, -2, 1, -2, 2, -3 ] ], rootsQ := [ [ 0, 1, -1, 1, -2, 1, -1, -1, -1, -2, -1, -1, 5, -3, -2, -2, 2 ], [ 0\
, -1, 1, -1, 2, -1, 1, 1, 1, 2, 1, 1, -5, 3, 2, 2, -2 ], [ 0, 1, -1, 1, -2, 1, -1, -2, 0, -3, 0, 0, 4, -4, -2, -3, 1 ], [ 0, -1, 1, -1, 2, -1, 1, 2, 0, 3,\
 0, 0, -4, 4, 2, 3, -1 ], [ 0, 1, -1, 1, -2, 1, 1, -2, 0, -3, 0, 0, 3, -4, -4, -3, 0 ], [ 0, -1, 1, -1, 2, -1, -1, 2, 0, 3, 0, 0, -3, 4, 4, 3, 0 ], [ 0, 1\
, -1, 1, -2, 1, 1, -3, 1, -4, 1, 1, 2, -5, -4, -4, -1 ], [ 0, -1, 1, -1, 2, -1, -1, 3, -1, 4, -1, -1, -2, 5, 4, 4, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, \
-1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, \
-1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [\
 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, \
-1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1",\
 "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 25, 16, 36, 52, 44, 34, 24, 18, 12, 2 ], [ 24, 17, 36, 52, 44, 34, 24, 18, 12, 2 ], [ -24, -16, -35, -5\
2, -44, -34, -24, -18, -12, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -12, -8, -18, -26, -21, -17, -12, -9, -6, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ \
24, 16, 36, 52, 44, 34, 25, 18, 12, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -24, -16, -36, -52, -44, -34, -24, -18, -11, -2 ], [ 48, 32, 72, 104, 88, 68,\
 48, 36, 24, 5 ] ], thegtilde := [ [ 1, 32, -14, 16, -34, 0, 32, 0, -14, 64, 16, 0, -32, -16, 0, -48, 0, -16, 0, 0, -64, -48, -7, -49, 8, -55 ], [ 0, 25, \
-11, 12, -25, 0, 24, 0, -11, 48, 13, 0, -24, -13, 0, -37, 1, -12, 1, 2, -49, -38, -7, -39, 5, -43 ], [ 0, 40, -17, 20, -42, 0, 40, 0, -18, 80, 20, 0, -40,\
 -20, 0, -60, 0, -20, 0, 0, -80, -60, -9, -61, 9, -69 ], [ 0, 64, -28, 33, -68, 0, 64, 0, -28, 128, 32, 0, -64, -32, 0, -96, 0, -32, 0, 0, -128, -96, -14,\
 -98, 16, -110 ], [ 0, 56, -24, 28, -59, 0, 56, 0, -24, 112, 28, 0, -56, -28, 0, -84, 0, -28, 0, 0, -112, -84, -12, -86, 13, -96 ], [ 0, 46, -20, 23, -49,\
 1, 46, 0, -20, 92, 24, 1, -47, -24, 0, -70, 1, -23, 1, 1, -93, -71, -12, -72, 9, -80 ], [ 0, 28, -12, 14, -30, 0, 29, 0, -12, 56, 14, 0, -28, -14, 0, -42\
, 0, -14, 0, 0, -56, -42, -6, -43, 6, -48 ], [ 0, 26, -12, 13, -27, 0, 26, 1, -12, 52, 14, 1, -27, -14, 0, -40, 1, -13, 1, 1, -53, -41, -8, -41, 4, -46 ],\
 [ 0, 12, -6, 6, -12, 0, 12, 0, -5, 24, 6, 0, -12, -6, 0, -18, 0, -6, 0, 0, -24, -18, -3, -19, 3, -21 ], [ 0, 6, -3, 3, -6, 0, 6, 0, -3, 13, 3, 1, -7, -3,\
 0, -10, 1, -3, 1, 0, -13, -10, -3, -11, 0, -11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 4, -2, 2, -4, 0\
, 4, 0, -2, 8, 2, 1, -4, -2, 0, -6, 0, -2, 0, 0, -8, -6, -1, -6, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, -1,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, -1, -6, 0, -\
2, 0, 2, -8, -6, -1, -6, 1, -7 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0, -7, 2, -2, 2, 2, -10, -8, -3, -8, -1, -9 ], [ 0, 4, -2, 2, -4, 0, 4,\
 0, -2, 8, 2, 0, -4, -2, 0, -6, 1, -2, 0, 0, -8, -6, -1, -7, 0, -7 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0, -6, 0, -1, 0, 0, -8, -6, -1, -6,\
 1, -7 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0, -6, 0, -2, 1, 0, -8, -6, -1, -7, 0, -7 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0\
, -6, 0, -2, 0, 1, -8, -6, -1, -6, 1, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0, -6, 0, -2, 0, 0, -8, -6, 0, -6, 1, -7 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, -2, 8, 2, 0, -4, -2, 0, -6, 0, -2, 0, 0, -8, -6, -1, -6, 1, -6 ] ] ), rec( GramQ := [ [ -16, -54, -20, -30, -24, 6, 0, 0,\
 -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -54, -284, -74, -106, -97, 30, -20, -14, -31, -29, -1, -5, -14, -2, -8, 24, -6 ], [ -20, -74, -28, -40, -33, 8, -1, -1, \
-4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -106, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -97, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1,\
 -4, 0, -2, 10, -2 ], [ 6, 30, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -20, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 \
], [ 0, -14, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -31, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -29, -\
3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5,\
 -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0\
, 0 ], [ 0, -8, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 24, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2,\
 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, 2, 4, 0, -4, -4, 6 ], [ -4, -8, 6, 0, 4, 0, -4, -4, 6 ], [ 4, 6, -8, 2, -4, 0, 4\
, 4, -6 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ 4, 4, -4, 4, -20, 4, 4, 4, -6 ], [ 0, 0, 0, 0, 4, -4, 2, 0, 0 ], [ -4, -4, 4, 0, 4, 2, -8, -2, 6 ], [ -4, -4,\
 4, 0, 4, 0, -2, -8, 8 ], [ 6, 6, -6, 0, -6, 0, 6, 8, -12 ] ], Sigma := [ [ 1, 1, -1, 1, -3, 2, -1, -1, -1, -2, 0, -1, 5, -2, -1, -2, 1 ], [ 0, 0, 0, 0, 0\
, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0\
, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, \
0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjw\
eyl := [ 4, 12, -5, 6, -18, 2, 10, 10, -4, 12, 10, 1, -13, -12, 0, -19, 6, -17, 1, 0, -18, -14, -4, -19, -3, -24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -11, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 0, -5 ], [ 0, 0, 1, 0\
, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], \
[ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2,\
 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 0, -4, -2, 0, 0, -2, 0, 0, 0, -4, 0, 0, 2, 0, 2, 3, 0, 4 ], [ 0, \
0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3,\
 -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 2, -6, 1, 0, 2, -1, 0, \
2, 1, -2, 0, 0, 3, 3, 0, 1, -1, 1 ] ], r := [ 12, 8, 18, 26, 22, 17, 12, 9, 8, 3 ], rlifts := [ [ 1, 2, -1, 1, -3, 0, 2, 2, -1, 2, 2, -1, -1, -2, -1, -2, \
0, -3, -1, 1, -2, -1, 1, -2, 1, -4 ] ], rootsQ := [ [ 1, 1, -1, 1, -3, 2, -1, -1, -1, -2, 0, -1, 5, -2, -1, -2, 1 ], [ -1, -1, 1, -1, 3, -2, 1, 1, 1, 2, 0\
, 1, -5, 2, 1, 2, -1 ], [ 1, 1, -1, 1, -3, 2, -1, -2, 0, -3, 1, 0, 4, -3, -1, -3, 0 ], [ -1, -1, 1, -1, 3, -2, 1, 2, 0, 3, -1, 0, -4, 3, 1, 3, 0 ], [ 1, 1\
, -1, 1, -3, 2, 1, -2, 0, -3, 1, 0, 3, -3, -3, -3, -1 ], [ -1, -1, 1, -1, 3, -2, -1, 2, 0, 3, -1, 0, -3, 3, 3, 3, 1 ], [ 1, 1, -1, 1, -3, 2, 1, -3, 1, -4,\
 2, 1, 2, -4, -3, -4, -2 ], [ -1, -1, 1, -1, 3, -2, -1, 3, -1, 4, -2, -1, -2, 4, 3, 4, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1\
, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1,\
 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1\
", "A3" ], theg := [ [ 25, 16, 36, 52, 44, 34, 24, 18, 16, 6 ], [ 24, 17, 36, 52, 44, 34, 24, 18, 16, 6 ], [ -24, -16, -35, -52, -44, -34, -24, -18, -16, \
-6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -12, -8, -18, -26, -21, -17, -12, -9, -8, -3 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 24, 16, 36, 52, 44, 34, 25, \
18, 16, 6 ], [ 24, 16, 36, 52, 44, 34, 24, 19, 16, 6 ], [ -48, -32, -72, -104, -88, -68, -48, -36, -31, -12 ], [ 24, 16, 36, 52, 44, 34, 24, 18, 16, 7 ] ]\
, thegtilde := [ [ 21, 40, -18, 20, -62, 0, 40, 40, -18, 40, 40, 0, -40, -40, 0, -60, 20, -60, 0, 0, -60, -40, -9, -61, -10, -89 ], [ 14, 29, -13, 14, -43\
, 0, 28, 28, -13, 28, 29, 0, -28, -29, 0, -43, 15, -42, 1, 2, -43, -30, -8, -45, -8, -64 ], [ 26, 52, -23, 26, -80, 0, 52, 52, -24, 52, 52, 0, -52, -52, 0\
, -78, 26, -78, 0, 0, -78, -52, -12, -79, -14, -116 ], [ 42, 84, -38, 43, -130, 0, 84, 84, -38, 84, 84, 0, -84, -84, 0, -126, 42, -126, 0, 0, -126, -84, -\
19, -128, -21, -187 ], [ 36, 72, -32, 36, -111, 0, 72, 72, -32, 72, 72, 0, -72, -72, 0, -108, 36, -108, 0, 0, -108, -72, -16, -110, -19, -160 ], [ 29, 58,\
 -26, 29, -90, 1, 58, 58, -26, 58, 59, 1, -59, -59, 0, -88, 30, -87, 1, 1, -88, -60, -15, -90, -17, -130 ], [ 18, 36, -16, 18, -56, 0, 37, 36, -16, 36, 36\
, 0, -36, -36, 0, -54, 18, -54, 0, 0, -54, -36, -8, -55, -10, -80 ], [ 15, 30, -14, 15, -46, 0, 30, 31, -14, 30, 31, 1, -31, -31, 0, -46, 16, -45, 1, 1, -\
46, -32, -9, -47, -10, -68 ], [ 8, 16, -8, 8, -24, 0, 16, 16, -7, 16, 16, 0, -16, -16, 0, -24, 8, -24, 0, 0, -24, -16, -4, -25, -4, -36 ], [ 5, 10, -5, 5,\
 -15, 0, 10, 10, -5, 11, 10, 1, -11, -10, 0, -16, 6, -15, 1, 0, -16, -11, -4, -17, -4, -23 ], [ -2, -4, 2, -2, 6, 0, -4, -4, 2, -4, -3, 0, 4, 4, 0, 6, -2,\
 6, 0, 0, 6, 4, 1, 5, 1, 9 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, 4, 1, -4, -4, 0, -6, 2, -6, 0, 0, -6, -4, -1, -6, -2, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, -1, 1 ], [ -2, -4, 2, -2, 6, 0, -4, -4, 2, -4, -2, 0, 4, 3, 0, 6, -2, 6, 0, 2, 6, 2, 0, 5, 1, 8 ], [ 2, 4,\
 -2, 2, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, -1, -6, 2, -6, 0, 2, -6, -4, -1, -6, -1, -9 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -7, 4, -6, 2,\
 2, -8, -6, -3, -8, -3, -11 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 3, -6, 0, 0, -6, -4, -1, -7, -2, -9 ], [ 4, 8, -4, 4, -12, 0, 8, 8,\
 -4, 8, 8, 0, -8, -8, 0, -12, 4, -11, 0, 0, -12, -8, -2, -12, -2, -18 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 2, -6, 1, 0, -6, -4, -1, \
-7, -2, -9 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, 4, 0, -4, -4, 0, -6, 2, -6, 0, 1, -6, -4, -1, -6, -1, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -2, 4, \
4, 0, -4, -4, 0, -6, 2, -6, 0, 0, -6, -4, 0, -6, -1, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0\
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, -1, -8 ] ] ), rec( GramQ := [ [ -16, -43, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -43, -170, -56, -82, -75, 19, -19, -12, -26, -29, -3,\
 -5, -14, 3, -10, 18, -2 ], [ -20, -56, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -82, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0,\
 0, 12, 0 ], [ -24, -75, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 19, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ \
0, -19, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -12, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -26, -4, -6\
, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -29, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -\
3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -5, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -14, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, \
0, -4, 0, 0 ], [ 0, 3, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -10, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 18, 8, 12, \
10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, -16, 16, 2, 8, -8, 0,\
 -4, 4 ], [ -16, -20, 18, 0, 8, -8, 0, -4, 4 ], [ 16, 18, -20, 2, -8, 8, 0, 4, -4 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 8, 8, -8, 2, -8, 6, 0, 2, -2 ], [ -\
8, -8, 8, 0, 6, -8, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, -4, 4, 0, 2, -2, 2, -4, 2 ], [ 4, 4, -4, 0, -2, 2, 0, 2, -4 ] ], Sigma := [ [ 0, 1, \
-1, 1, -2, 1, 0, -1, 0, -2, 0, -1, 2, 0, 0, -1, 1 ], [ 0, 1, -1, 1, -2, 1, 0, -1, 0, -2, 0, 1, 2, -2, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1,\
 -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1,\
 -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 4, -1\
0, 4, 2, 4, 0, 4, 4, 1, -7, -8, 0, -11, 2, -9, 1, 0, -8, -9, -4, -10, 0, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 1, 0, 1, -8, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0,\
 -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 2, 0, 0, -1, -1\
, 0, 0, 4, -3, 4, 2, 0, -4, -2, 0, -4, 3, -4, 0, 0, -2, -2, 0, -3, -3, -6 ], [ 2, -4, 2, 0, -2, 0, 0, 4, -4, 4, 2, 0, -4, 0, 0, -2, 2, -4, 0, 0, 0, 0, 2, \
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, 2 ] ], r := [ 6, 4, 10, 14, 12, 9, 7, 5, 4, 2 ], rlifts := [ [ 0, 2, -1, 1, -2, 1, 0, 1, 0, 0, 1, 0, -1, -2, 0, -2, 0, -2, -1, -1, 0, 0, 0, -1, 1, -1 ],\
 [ 0, 2, -1, 1, -2, 1, 0, 1, 0, 0, 1, 0, -1, -2, 0, -2, 0, -2, 1, 1, -2, -3, -2, -2, 0, -3 ] ], rootsQ := [ [ 0, 1, -1, 1, -2, 1, 0, -1, 0, -2, 0, -1, 2, \
0, 0, -1, 1 ], [ 0, -1, 1, -1, 2, -1, 0, 1, 0, 2, 0, 1, -2, 0, 0, 1, -1 ], [ 0, 1, -1, 1, -2, 1, 0, -1, 0, -2, 0, 1, 2, -2, -3, -2, 0 ], [ 0, -1, 1, -1, 2\
, -1, 0, 1, 0, 2, 0, -1, -2, 2, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, \
-1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1,\
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0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 13, 8, 2\
0, 28, 24, 18, 14, 10, 8, 4 ], [ 12, 9, 20, 28, 24, 18, 14, 10, 8, 4 ], [ -12, -8, -19, -28, -24, -18, -14, -10, -8, -4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 \
], [ -6, -4, -10, -14, -11, -9, -7, -5, -4, -2 ], [ 6, 4, 10, 14, 12, 10, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 4, 10, 14, 12, 9, 7, 6, 4, \
2 ], [ -6, -4, -10, -14, -12, -9, -7, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 20, -8, 10, -22, 10, 0, 10, 2, 0, 10, 0, -10, \
-20, 0, -20, 0, -20, 0, 0, -10, -15, -9, -16, 5, -19 ], [ 0, 17, -7, 8, -17, 8, 0, 8, 1, 0, 9, 0, -8, -17, 0, -17, 1, -16, 1, 2, -9, -14, -9, -15, 3, -17 \
], [ 0, 24, -9, 12, -26, 12, 0, 12, 2, 0, 12, 0, -12, -24, 0, -24, 0, -24, 0, 0, -12, -18, -11, -19, 5, -23 ], [ 0, 40, -16, 21, -44, 20, 0, 20, 4, 0, 20,\
 0, -20, -40, 0, -40, 0, -40, 0, 0, -20, -30, -18, -32, 10, -38 ], [ 0, 36, -14, 18, -39, 18, 0, 18, 4, 0, 18, 0, -18, -36, 0, -36, 0, -36, 0, 0, -18, -27\
, -16, -29, 8, -34 ], [ 0, 30, -12, 15, -33, 16, 0, 15, 3, 0, 16, 0, -16, -31, 0, -31, 1, -30, 0, 0, -15, -22, -14, -25, 6, -28 ], [ 0, 18, -7, 9, -20, 9,\
 1, 9, 2, 0, 9, 0, -9, -18, 0, -18, 0, -18, 1, 1, -10, -15, -9, -15, 3, -18 ], [ 0, 18, -8, 9, -19, 9, 0, 10, 1, 0, 10, 0, -10, -19, 0, -19, 1, -18, 0, 0,\
 -9, -13, -9, -15, 3, -17 ], [ 0, 8, -4, 4, -8, 4, 0, 4, 1, 0, 4, 0, -4, -8, 0, -8, 0, -8, 0, 0, -4, -6, -4, -7, 2, -8 ], [ 0, 8, -4, 4, -8, 4, 0, 4, 0, 1\
, 4, 0, -5, -8, 0, -9, 1, -8, 1, 0, -5, -6, -5, -8, 1, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 4, -2\
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0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, -1, -\
4, 0, -4, 0, 2, -2, -3, -2, -3, 1, -4 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0, -5, 2, -4, 0, 0, -2, -2, -2, -4, 0, -4 ], [ 0, 4, -2, 2, -4, 2\
, 0, 2, 0, 0, 2, 0, -2, -4, 0, -4, 1, -4, 0, 0, -2, -3, -2, -4, 0, -4 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0, -4, 0, -3, 0, 0, -2, -3, -2, -\
3, 1, -4 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0, -4, 0, -4, 1, 0, -2, -3, -2, -4, 0, -4 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0\
, -4, 0, -4, 0, 1, -2, -3, -2, -3, 1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -3, -2, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0, -4, 0, -4, 0, 0, -2, -3, -1, -3, 1, -4 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0 ], [ 0, 4, -2, 2, -4, 2, 0, 2, 0, 0, 2, 0, -2, -4, 0, -4, 0, -4, 0, 0, -2, -3, -2, -3, 1, -3 ] ] ), rec( GramQ := [ [ -16, -13, -20, -30, -24, 6, \
0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -13, -56, -14, -22, -23, 6, -14, -8, -17, -21, -7, -9, -12, 0, -8, 4, 2 ], [ -20, -14, -28, -40, -33, 8, -1, -1, -4\
, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -22, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -23, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4\
, 0, -2, 10, -2 ], [ 6, 6, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -14, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [\
 0, -8, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -17, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -21, -3, -6\
, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, \
-3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -12, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ],\
 [ 0, -8, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 4, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 2, -2, 0, -2, 0, -2, \
-2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, 2, 0, 0, 0, 0, 0 ], [ -4, -8, 6, 0, 0, 0, 0, 0, 0 ], [ 4, 6, -8, 2, 0, 0, 0, 0, 0 ], [ 2\
, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 \
], [ 0, 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ 0, 1, -1, 1, -1, 1, 0, -1, 1, -2, 0, 0, 1, -2, -2, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2,\
 -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1,\
 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 6, -10, \
2, 2, 2, 0, 12, 6, 1, -9, -8, 0, -15, 2, -9, 1, 0, -14, -14, -6, -17, 3, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, \
0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, \
0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2\
, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 \
] ], r := [ 6, 4, 10, 14, 12, 10, 8, 6, 4, 1 ], rlifts := [ [ 0, 2, -1, 1, -1, 0, 0, 0, 0, 2, 1, 0, -1, -1, 1, -2, 0, -1, 0, -1, -2, -2, -1, -2, 1, -3 ] ]\
, rootsQ := [ [ 0, 1, -1, 1, -1, 1, 0, -1, 0, -2, 0, 0, 2, -2, -2, -2, 1 ], [ 0, -1, 1, -1, 1, -1, 0, 1, 0, 2, 0, 0, -2, 2, 2, 2, -1 ], [ 0, 1, -1, 1, -1,\
 1, 0, -1, 1, -2, 0, 0, 1, -2, -2, -2, 1 ], [ 0, -1, 1, -1, 1, -1, 0, 1, -1, 2, 0, 0, -1, 2, 2, 2, -1 ], [ 0, 1, -1, 1, -1, 1, 0, -1, -1, -2, 0, 0, 3, -2,\
 -2, -3, 1 ], [ 0, -1, 1, -1, 1, -1, 0, 1, 1, 2, 0, 0, -3, 2, 2, 3, -1 ], [ 0, 1, -1, 1, -1, 1, 0, -1, 0, -2, 0, 0, 2, -2, -2, -3, 1 ], [ 0, -1, 1, -1, 1,\
 -1, 0, 1, 0, 2, 0, 0, -2, 2, 2, 3, -1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -\
1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1\
, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1,\
 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 13, 8, 20, 28, 24, 20, 16, \
12, 8, 2 ], [ 12, 9, 20, 28, 24, 20, 16, 12, 8, 2 ], [ -12, -8, -19, -28, -24, -20, -16, -12, -8, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -6, -4, -10, -14, -12, -10, -8, \
-6, -3, -1 ], [ 12, 8, 20, 28, 24, 20, 16, 12, 8, 3 ] ], thegtilde := [ [ 1, 20, -8, 10, -12, 0, 0, 0, 2, 20, 10, 0, -10, -10, 0, -20, 0, -10, 0, 0, -20, \
-20, -9, -26, 10, -29 ], [ 0, 17, -7, 8, -9, 0, 0, 0, 1, 16, 9, 0, -8, -9, 0, -17, 1, -8, 1, 2, -17, -18, -9, -23, 7, -25 ], [ 0, 24, -9, 12, -14, 0, 0, 0\
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0, -40, -40, -18, -52, 20, -58 ], [ 0, 36, -14, 18, -21, 0, 0, 0, 4, 36, 18, 0, -18, -18, 0, -36, 0, -18, 0, 0, -36, -36, -16, -47, 17, -52 ], [ 0, 32, -1\
3, 16, -19, 1, 0, 0, 3, 32, 17, 0, -17, -17, 0, -33, 1, -16, 1, 1, -33, -33, -16, -44, 14, -47 ], [ 0, 20, -8, 10, -12, 0, 1, 0, 2, 20, 10, 0, -10, -10, 0\
, -20, 0, -10, 0, 0, -20, -20, -9, -26, 9, -29 ], [ 0, 20, -9, 10, -11, 0, 0, 1, 1, 20, 11, 0, -11, -11, 0, -21, 1, -10, 1, 1, -21, -21, -11, -28, 8, -30 \
], [ 0, 8, -4, 4, -4, 0, 0, 0, 1, 8, 4, 0, -4, -4, 0, -8, 0, -4, 0, 0, -8, -8, -4, -10, 4, -12 ], [ 0, 6, -3, 3, -3, 0, 0, 0, 0, 7, 3, 0, -4, -3, 0, -7, 1\
, -3, 1, 0, -7, -6, -4, -9, 2, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2\
, -1, -2, -2, 0, -4, 0, -2, 0, 0, -4, -2, -1, -5, 2, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -2, 0, -1 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, -1, -4, 0, -2, 0, 2, -4, -4, -\
2, -6, 2, -6 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 0, -5, 2, -2, 2, 2, -6, -6, -4, -8, 0, -8 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -\
2, 0, -4, 1, -2, 0, 0, -4, -4, -2, -5, 1, -6 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -1, 0, 0, -4, -4, -2, -5, 2, -6 ], [ 0, 4, -2, 2\
, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -2, 1, 0, -4, -4, -2, -5, 1, -6 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -2, 0, 1, -4, -4\
, -2, -5, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -2, 0, 0, -4, -4, -1, -5, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -2, 0,\
 0, 0, 0, 4, 2, 0, -2, -2, 0, -4, 0, -2, 0, 0, -4, -4, -2, -5, 2, -5 ] ] ), rec( GramQ := [ [ -16, -35, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, \
0 ], [ -35, -140, -46, -67, -64, 18, -18, -10, -26, -24, -5, -9, -16, -4, -8, 14, -2 ], [ -20, -46, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2\
 ], [ -30, -67, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -64, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 18\
, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -18, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -10, -1, 0, -3, -2, -\
8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -26, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -24, -3, -6, -7, 2, -6, -2, -8, -12\
, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -\
2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -8, 0, 0, -2, -2,\
 -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, \
0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, 0, 4, 0, -4, 0, 2 ], [ -4, -8, 6, -4, 4, 0, -4, 0, 2 ], [ 4, 6, -8, 8, -4, 0, 4, 0, -2 ], [ 0, -4, 8, -20, 8,\
 0, -4, 0, 2 ], [ 4, 4, -4, 8, -8, 2, 4, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, -4, 4, -4, 4, 2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, \
2, -2, 2, -2, 0, 2, 2, -4 ] ], Sigma := [ [ -1, 1, -2, 3, -3, 1, 0, -1, 0, -2, 1, 0, 2, -3, -2, -3, 1 ], [ 1, 1, 0, 0, -2, 1, 0, -1, 0, -2, 0, 0, 2, -3, -\
2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 \
], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 8, -3, 5, -11, 2, 6, 2, -1, 8, 4, 1, -7, -6, 0, -11, 3, -9, 1, 0, -12, -10, -2, -12, 0, -12 ], embQ := [ [ 1, 0, 0,\
 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -4\
 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, \
-2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 4, 0,\
 0, -2, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, -2, -2, -2, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2,\
 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, \
-4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0\
, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 9, 6, 14, 20, 18, 14, 10, 8, 6, 2 ], rlifts := [ [ -1, 2, -2, 3, -3, 0, 2, 0, 0, 2, 1\
, 0, -1, -1, 0, -2, 1, -3, 0, 0, -3, -2, 0, -3, 1, -3 ], [ 1, 2, 0, 0, -2, 0, 2, 0, -1, 2, 1, 0, -1, -1, 0, -2, 0, -1, 0, 0, -3, -2, 0, -2, 0, -3 ] ], roo\
tsQ := [ [ -1, 1, -2, 3, -3, 1, 0, -1, 0, -2, 1, 0, 2, -3, -2, -3, 1 ], [ 1, -1, 2, -3, 3, -1, 0, 1, 0, 2, -1, 0, -2, 3, 2, 3, -1 ], [ 1, 1, 0, 0, -2, 1, \
0, -1, 0, -2, 0, 0, 2, -3, -2, -2, 0 ], [ -1, -1, 0, 0, 2, -1, 0, 1, 0, 2, 0, 0, -2, 3, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2\
 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -\
1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -\
1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0\
, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 19, 12, 28, 40, 36, 28, 20, 16, 12, 4 ], [ 18, 13, 28, 40, 36, 28, 20, 16, 12, 4 ], [ -18, -12, -27, -40, \
-36, -28, -20, -16, -12, -4 ], [ 9, 6, 14, 21, 18, 14, 10, 8, 6, 2 ], [ -18, -12, -28, -40, -35, -28, -20, -16, -12, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ 18, 12, 28, 40, 36, 28, 21, 16, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -18, -12, -28, -40, -36, -28, -20, -16, -11, -4 ], [ 18, 12, 28, 40, 36,\
 28, 20, 16, 12, 5 ] ], thegtilde := [ [ 0, 30, -14, 24, -40, 0, 30, 0, -5, 30, 15, 0, -15, -15, 0, -30, 8, -31, 0, 0, -45, -30, 1, -39, 8, -44 ], [ -1, 2\
3, -11, 18, -29, 0, 22, 0, -4, 22, 12, 0, -11, -12, 0, -23, 7, -23, 1, 2, -34, -24, -1, -31, 5, -34 ], [ -2, 36, -17, 30, -48, 0, 36, 0, -6, 36, 18, 0, -1\
8, -18, 0, -36, 10, -38, 0, 0, -54, -36, 1, -47, 9, -53 ], [ -2, 60, -28, 49, -80, 0, 60, 0, -10, 60, 30, 0, -30, -30, 0, -60, 16, -62, 0, 0, -90, -60, 2,\
 -78, 16, -88 ], [ -2, 52, -24, 42, -69, 0, 52, 0, -8, 52, 26, 0, -26, -26, 0, -52, 14, -54, 0, 0, -78, -52, 2, -68, 13, -76 ], [ -2, 44, -21, 36, -59, 1,\
 44, 0, -7, 44, 23, 0, -23, -23, 0, -45, 13, -46, 1, 1, -67, -45, 0, -59, 10, -65 ], [ -1, 26, -12, 21, -35, 0, 27, 0, -4, 26, 13, 0, -13, -13, 0, -26, 7,\
 -27, 0, 0, -39, -26, 1, -34, 6, -38 ], [ 0, 28, -13, 21, -36, 0, 28, 1, -6, 28, 15, 0, -15, -15, 0, -29, 8, -28, 1, 1, -43, -29, -1, -37, 5, -42 ], [ 0, \
12, -6, 9, -15, 0, 12, 0, -2, 12, 6, 0, -6, -6, 0, -12, 3, -12, 0, 0, -18, -12, 0, -16, 3, -18 ], [ 1, 10, -4, 6, -12, 0, 10, 0, -3, 11, 5, 0, -6, -5, 0, \
-11, 3, -9, 1, 0, -16, -10, -1, -14, 1, -15 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 4, -2, 3, -5, 0, 4,\
 0, -1, 4, 2, -1, -2, -2, 0, -4, 1, -4, 0, 0, -6, -2, 1, -5, 1, -5 ], [ 1, 2, 0, 0, -2, 0, 2, 0, -1, 2, 1, 0, -2, -1, 0, -2, 0, -1, 0, -2, -3, 0, 0, -2, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 4, -2, 3, -5, 0, 4, 0, -1, 4, 2, 0, -2, -2, -1, -4, 1,\
 -4, 0, 2, -6, -4, 0, -5, 1, -6 ], [ 0, 4, -2, 3, -5, 0, 4, 0, -1, 4, 2, 0, -2, -2, 0, -5, 3, -4, 2, 2, -8, -6, -2, -7, -1, -8 ], [ 0, 4, -2, 3, -5, 0, 4,\
 0, -1, 4, 2, 0, -2, -2, 0, -4, 2, -4, 0, 0, -6, -4, 0, -6, 0, -6 ], [ -1, 6, -4, 6, -8, 0, 6, 0, -1, 6, 3, 0, -3, -3, 0, -6, 2, -6, 0, 0, -9, -6, 0, -8, \
2, -9 ], [ 0, 4, -2, 3, -5, 0, 4, 0, -1, 4, 2, 0, -2, -2, 0, -4, 1, -4, 1, 0, -6, -4, 0, -6, 0, -6 ], [ 0, 4, -2, 3, -5, 0, 4, 0, -1, 4, 2, 0, -2, -2, 0, \
-4, 1, -4, 0, 1, -6, -4, 0, -5, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 2, -2, 3, -3, 0, 2, 0, 0, 2, 1, 0, -1, -1, 0, -2, 1, -3, 0, 0, -3, -2, 1, -3, 1, -3 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ]\
, [ 1, 6, -2, 3, -7, 0, 6, 0, -2, 6, 3, 0, -3, -3, 0, -6, 1, -5, 0, 0, -9, -6, 0, -7, 1, -8 ] ] ), rec( GramQ := [ [ -16, -90, -20, -30, -24, 6, 0, 0, -3,\
 -4, 2, 3, 0, 0, 0, 6, 0 ], [ -90, -804, -120, -172, -159, 34, -46, -36, -51, -55, -7, -15, -26, 8, -24, 38, -10 ], [ -20, -120, -28, -40, -33, 8, -1, -1,\
 -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -172, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -159, -33, -48, -42, 10, -5, -3, -9, -7, 2, \
1, -4, 0, -2, 10, -2 ], [ 6, 34, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -46, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -\
2 ], [ 0, -36, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -51, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -55,\
 -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -15, 3, 6, 1, -3, -8, \
-5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -26, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 8, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2,\
 0, 0 ], [ 0, -24, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 38, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -10, -2, 0,\
 -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -8, -4, -6, 4, -8, -6, -12, 4 ], [ -8, -12, -2, -8, 4, -8, -6, -12, 4 ], [ -4, -2,\
 -8, -2, -4, -4, -2, -8, 2 ], [ -6, -8, -2, -12, 8, -8, -6, -12, 4 ], [ 4, 4, -4, 8, -36, 8, 6, 0, -2 ], [ -8, -8, -4, -8, 8, -12, -4, -12, 4 ], [ -6, -6,\
 -2, -6, 6, -4, -8, -8, 4 ], [ -12, -12, -8, -12, 0, -12, -8, -20, 6 ], [ 4, 4, 2, 4, -2, 4, 4, 6, -4 ] ], Sigma := [ [ 0, 1, -1, 2, -5, 1, -1, -3, -1, -4\
, 0, -1, 8, -3, -3, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, \
0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 10, -26, 10, 10, 10, -8, 20, 6, 1, -21, -16, 0, -27, 6, -25, 1, 0, -22, -22, 0, -19, -3, -\
24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, -19, 4, 0, 0, 0, -2, 0, 0, 0,\
 -1, 0, 0, 0, 0, -2, 0, 0, -7 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -\
1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 2, -4, 1, 4, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, -3, -2, 0, -3, 0, 0 ], [ \
0, -4, 2, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 4, 0, 2, 0, 2, 0, 0, -1, 0, 2, 0, 0, 2 ], [ -2, 2, -1, 1, 0, 0, 2, -4, 2, 0, 1, 0, 2, 1, 0, 1, -1, 2, 0, 0, -2, -\
1, -1, -2, 2, 1 ], [ 2, 0, 0, -1, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, -3, -2, -1, -2, 1, 0 ], [ -2, 0, 0, 2, -4, 4, 2, -4, 4, -8, -2, 0, 4, 0\
, 0, 4, 0, -2, 0, 0, 3, 2, 2, 3, 1, 8 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 0, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 2, -2, -2\
, 0, 4, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -1, -3, -1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 4, -8, 2, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, -2, 0, -3, 2, 2 ], [ 1\
, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 18, 12, 26, 38, 34, 25, 18, 13, 10, 3 ], rlifts := [ [ 0, 2,\
 -1, 2, -5, 2, 2, 2, -2, 4, 1, -1, -3, -3, -1, -4, 0, -5, -1, 1, -3, -3, 2, -2, 1, -4 ] ], rootsQ := [ [ 0, 1, -1, 2, -5, 1, -1, -3, -1, -4, 0, -1, 8, -3,\
 -3, -2, 1 ], [ 0, -1, 1, -2, 5, -1, 1, 3, 1, 4, 0, 1, -8, 3, 3, 2, -1 ], [ 0, 1, -1, 2, -5, 1, -1, -4, 0, -5, 1, 0, 7, -4, -3, -3, 0 ], [ 0, -1, 1, -2, 5\
, -1, 1, 4, 0, 5, -1, 0, -7, 4, 3, 3, 0 ], [ 0, 1, -1, 2, -5, 1, 1, -4, 0, -5, 1, 0, 6, -4, -5, -3, -1 ], [ 0, -1, 1, -2, 5, -1, -1, 4, 0, 5, -1, 0, -6, 4\
, 5, 3, 1 ], [ 0, 1, -1, 2, -5, 1, 1, -5, 1, -6, 2, 1, 5, -5, -5, -4, -2 ], [ 0, -1, 1, -2, 5, -1, -1, 5, -1, 6, -2, -1, -5, 5, 5, 4, 2 ], [ 0, 0, 0, 0, 0\
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, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0,\
 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1,\
 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], ro\
otstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 37, 24, 52, 76, 68, 50, 36, 26, 20, 6 ], [ 36, 25, 52, 76, 68, 50, 36, 26, 20, 6 ], \
[ -36, -24, -51, -76, -68, -50, -36, -26, -20, -6 ], [ 36, 24, 52, 77, 68, 50, 36, 26, 20, 6 ], [ -90, -60, -130, -190, -169, -125, -90, -65, -50, -15 ], \
[ 36, 24, 52, 76, 68, 51, 36, 26, 20, 6 ], [ 36, 24, 52, 76, 68, 50, 37, 26, 20, 6 ], [ 36, 24, 52, 76, 68, 50, 36, 27, 20, 6 ], [ -72, -48, -104, -152, -\
136, -100, -72, -52, -39, -12 ], [ 72, 48, 104, 152, 136, 100, 72, 52, 40, 13 ] ], thegtilde := [ [ 1, 52, -24, 52, -132, 52, 52, 52, -50, 104, 26, 0, -10\
4, -78, 0, -130, 26, -130, 0, 0, -104, -104, 14, -79, -13, -116 ], [ 0, 37, -17, 36, -91, 36, 36, 36, -35, 72, 19, 0, -72, -55, 0, -91, 19, -90, 1, 2, -73\
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1, -106, 0, -176, 36, -175, 1, 1, -141, -142, 17, -108, -20, -157 ], [ 0, 44, -20, 44, -112, 44, 45, 44, -42, 88, 22, 0, -88, -66, 0, -110, 22, -110, 0, 0\
, -88, -88, 12, -67, -12, -98 ], [ 0, 42, -20, 42, -106, 42, 42, 43, -41, 84, 22, 1, -85, -64, 0, -106, 22, -105, 1, 1, -85, -86, 9, -65, -13, -95 ], [ 0,\
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 1, -29, -21, 0, -36, 8, -35, 1, 0, -29, -29, 2, -23, -5, -32 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 4\
, -2, 4, -10, 4, 4, 4, -4, 8, 2, 1, -8, -6, 0, -10, 2, -10, 0, 0, -8, -8, 1, -6, -2, -9 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -4, 8, 2, 2, -9, -6, 0, -10, 2, -1\
0, 0, -2, -8, -8, 0, -6, -2, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -4,\
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, -3, -11 ], [ 0, 4, -2, 4, -10, 4, 4, 4, -4, 8, 2, 0, -8, -6, 0, -10, 3, -10, 0, 0, -8, -8, 1, -7, -2, -9 ], [ 0, 8, -4, 8, -20, 8, 8, 8, -8, 16, 4, 0, -\
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], [ 0, 4, -2, 4, -10, 4, 4, 4, -4, 8, 2, 0, -8, -6, 0, -10, 2, -10, 0, 1, -8, -8, 1, -6, -1, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 ), rec( GramQ := [ [ -16, -65, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -65, -452, -86, -124, -115, 24, -36, -28, -39, -45, -5, -11, -20,\
 10, -20, 28, -6 ], [ -20, -86, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -124, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12,\
 0 ], [ -24, -115, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 24, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -36\
, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -28, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -39, -4, -6, -9, \
3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -45, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3,\
 -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -20, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4\
, 0, 0 ], [ 0, 10, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -20, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 28, 8, 12, 10, \
-4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 4, -2, 8, -4, 0, -4, 8\
 ], [ -4, -8, 6, -4, 8, -4, 0, -4, 8 ], [ 4, 6, -8, 6, -8, 4, 0, 4, -8 ], [ -2, -4, 6, -8, 10, -4, 0, -4, 8 ], [ 8, 8, -8, 10, -20, 10, 0, 8, -16 ], [ -4,\
 -4, 4, -4, 10, -8, 2, -4, 8 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, -4, 4, -4, 8, -4, 2, -8, 12 ], [ 8, 8, -8, 8, -16, 8, 0, 12, -28 ] ], Sigma := [ [ 0\
, 1, -1, 2, -4, 1, 0, -3, 1, -4, 1, 0, 4, -2, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
-1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0,\
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 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 10, -22, 10, 2, 10, -4, 12, 6, 1, -17, -16, 0, -23, 6, -25, \
1, 0, -14, -18, -2, -17, -1, -22 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 0, 2,\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0,\
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, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0,\
 1, -2, 2, 0, 0, 3, -8, -1, 0, 3, -1, 0, 3, 0, -2, 0, 0, 4, 3, 1, 3, 0, 5 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1,\
 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, \
2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 12, 8, 18, 26, 24, 18, 14,\
 10, 8, 3 ], rlifts := [ [ 0, 2, -1, 2, -4, 2, 0, 2, -1, 2, 1, 0, -3, -3, 1, -4, 1, -5, 0, -1, -2, -3, 0, -2, 0, -4 ] ], rootsQ := [ [ 0, 1, -1, 2, -4, 1,\
 0, -3, 0, -4, 1, 0, 5, -2, -3, -2, 0 ], [ 0, -1, 1, -2, 4, -1, 0, 3, 0, 4, -1, 0, -5, 2, 3, 2, 0 ], [ 0, 1, -1, 2, -4, 1, 0, -3, 1, -4, 1, 0, 4, -2, -3, \
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 -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, \
-1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ]\
, [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
-1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 25, 16, 36, 52, 48, 36, 28, 20, 16, 6 ], [ 24, 17, 36, 52, 48,\
 36, 28, 20, 16, 6 ], [ -24, -16, -35, -52, -48, -36, -28, -20, -16, -6 ], [ 24, 16, 36, 53, 48, 36, 28, 20, 16, 6 ], [ -48, -32, -72, -104, -95, -72, -56\
, -40, -32, -12 ], [ 24, 16, 36, 52, 48, 37, 28, 20, 16, 6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 24, 16, 36, 52, 48, 36, 28, 21, 16, 6 ], [ -36, -24, -54\
, -78, -72, -54, -42, -30, -23, -9 ], [ 24, 16, 36, 52, 48, 36, 28, 20, 16, 7 ] ], thegtilde := [ [ 1, 40, -18, 40, -82, 40, 0, 40, -18, 40, 20, 0, -60, -\
60, 0, -80, 20, -100, 0, 0, -40, -60, 1, -51, 0, -79 ], [ 0, 29, -13, 28, -57, 28, 0, 28, -13, 28, 15, 0, -42, -43, 0, -57, 15, -70, 1, 2, -29, -44, -1, -\
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, 0, 80, -36, 80, 40, 0, -120, -120, 0, -160, 40, -200, 0, 0, -80, -120, 2, -102, 0, -158 ], [ 0, 68, -30, 68, -139, 68, 0, 68, -30, 68, 34, 0, -102, -102\
, 0, -136, 34, -170, 0, 0, -68, -102, 2, -87, -1, -134 ], [ 0, 56, -25, 56, -115, 57, 0, 56, -25, 56, 29, 0, -85, -85, 0, -113, 29, -140, 1, 1, -57, -85, \
0, -74, -2, -111 ], [ 0, 36, -16, 36, -74, 36, 1, 36, -16, 36, 18, 0, -54, -54, 0, -72, 18, -90, 0, 0, -36, -54, 1, -46, -1, -71 ], [ 0, 36, -17, 36, -73,\
 36, 0, 37, -17, 36, 19, 0, -55, -55, 0, -73, 19, -90, 1, 1, -37, -55, -1, -48, -2, -72 ], [ 0, 16, -8, 16, -32, 16, 0, 16, -7, 16, 8, 0, -24, -24, 0, -32\
, 8, -40, 0, 0, -16, -24, 0, -20, 0, -32 ], [ 0, 14, -7, 14, -28, 14, 0, 14, -7, 15, 7, 0, -22, -21, 0, -29, 8, -35, 1, 0, -15, -21, -1, -19, -1, -28 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, -2, 4, -8, 4, 0, 4, -2, 4, 2, -1, -6, -6, 0, -8, 2, -10, 0, 0, -4\
, -4, 1, -5, 0, -7 ], [ 0, 4, -2, 4, -8, 4, 0, 4, -2, 4, 2, 0, -7, -6, 0, -8, 2, -10, 0, -2, -4, -4, 0, -5, 0, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,\
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2, 4, -8, 4, 0, 4, -2, 4, 2, 0, -6, -6, 0, -9, 4, -10, 2, 2, -6, -8, -2, -8, -2, -10 ], [ 0, 4, -2, 4, -8, 4, 0, 4, -2, 4, 2, 0, -6, -6, 0, -8, 3, -10, 0,\
 0, -4, -6, 0, -5, -1, -8 ], [ 0, 8, -4, 8, -16, 8, 0, 8, -4, 8, 4, 0, -12, -12, 0, -16, 4, -19, 0, 0, -8, -12, 0, -10, 0, -16 ], [ 0, 4, -2, 4, -8, 4, 0,\
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, 0, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 8, -4, 8, -16, 8, 0, 8, -4, 8, 4, 0\
, -12, -12, 0, -16, 4, -20, 0, 0, -8, -12, 0, -10, 0, -15 ] ] ), rec( GramQ := [ [ -16, -73, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -73,\
 -560, -98, -142, -133, 28, -42, -30, -48, -48, -7, -17, -28, 4, -22, 30, -6 ], [ -20, -98, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -3\
0, -142, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -133, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 28, 8, 1\
2, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -42, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -30, -1, 0, -3, -2, -8, -8,\
 -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -48, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -48, -3, -6, -7, 2, -6, -2, -8, -12, -3, \
-3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -17, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2\
 ], [ 0, -28, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -22, 0, 0, -2, -2, -6, \
-4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 30, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0,\
 0, -4 ] ], GramQperp := [ [ -16, -12, -6, 2, -18, -12, -12, 4, -24 ], [ -12, -16, -4, 0, -18, -12, -12, 4, -24 ], [ -6, -4, -8, 2, -12, -6, -6, 2, -14 ],\
 [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -18, -18, -12, 2, -40, -16, -18, 6, -42 ], [ -12, -12, -6, 0, -16, -16, -10, 4, -24 ], [ -12, -12, -6, 0, -18, -10, -16\
, 6, -24 ], [ 4, 4, 2, 0, 6, 4, 6, -4, 8 ], [ -24, -24, -14, 0, -42, -24, -24, 8, -52 ] ], Sigma := [ [ 1, 1, -2, 1, -3, 1, 0, -3, 0, -4, 1, 0, 4, -4, -4,\
 -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -\
1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ],\
 [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 6, -22, 10, 10, 2, -4, 20, 6, 1, -17, -12, 0, -23, 6, -17, 1, 0, -22, -22, -4, -21, -1, -20 ], embQ := [ [ 1,\
 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 0, -16, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -3, \
0, 0, -5 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 2, 0, 0, -1, -1, 0, 0, 4, -1, 0, 2, 0, -2, -2, 0, -2, 3, -4, 0, 0, 0, 0, 0, -2, -3, -4 ], [ 2, -4, 2, 0, -2,\
 0, 0, 4, -2, 0, 2, 0, -2, 0, 0, 0, 2, -4, 0, 0, 2, 2, 2, 1, -3, -2 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, \
0, -2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 2, 0, 0, 1, -5, 2, 0, 6, -1, -6, 2, 0, -1, -4, 0, -1, 3, -8\
, 0, 0, 3, 2, 1, 1, -3, -2 ], [ 2, 0, 0, 0, 0, -4, 2, 4, -2, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, -1, 2, 1, -1, -2, -5 ], [ 2, 0, 0, 0, -2, 2, -4, 6, -2, 0, \
2, 0, -4, -4, 0, -4, 2, -6, 0, 0, 2, -1, -1, -1, -2, -5 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 4, 0, 0,\
 0, -4, 0, 0, 8, -2, -4, 4, 0, -2, -4, 0, -2, 4, -8, 0, 0, 2, 2, 0, -1, -4, -6 ] ], r := [ 14, 9, 20, 30, 26, 19, 14, 11, 8, 2 ], rlifts := [ [ 1, 2, -2, \
1, -3, 2, 2, 0, -2, 4, 1, 0, -3, -2, 0, -4, 1, -3, 0, 0, -4, -4, -1, -3, 0, -4 ] ], rootsQ := [ [ 1, 1, -1, 1, -4, 0, 0, -3, -1, -4, 1, 0, 5, -4, -3, -3, \
0 ], [ -1, -1, 1, -1, 4, 0, 0, 3, 1, 4, -1, 0, -5, 4, 3, 3, 0 ], [ 1, 1, -2, 1, -3, 1, 0, -3, 0, -4, 1, 0, 4, -4, -4, -3, 0 ], [ -1, -1, 2, -1, 3, -1, 0, \
3, 0, 4, -1, 0, -4, 4, 4, 3, 0 ], [ 1, 1, 0, 1, -5, 1, 0, -3, 0, -4, 1, 0, 5, -4, -4, -4, 0 ], [ -1, -1, 0, -1, 5, -1, 0, 3, 0, 4, -1, 0, -5, 4, 4, 4, 0 ]\
, [ 1, 1, -1, 1, -4, 2, 0, -3, 1, -4, 1, 0, 4, -4, -5, -4, 0 ], [ -1, -1, 1, -1, 4, -2, 0, 3, -1, 4, -1, 0, -4, 4, 5, 4, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -\
1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1\
, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, \
0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, \
0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [\
 "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 29, 18, 40, 60, 52, 38, 28, 22, 16, 4 ], [ 28, 19, 40, 60, 52, 38, 28, 22, 16, 4 ], [ -14, -9, -1\
9, -30, -26, -19, -14, -11, -8, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -42, -27, -60, -90, -77, -57, -42, -33, -24, -6 ], [ 28, 18, 40, 60, 52, 39, 28,\
 22, 16, 4 ], [ 28, 18, 40, 60, 52, 38, 29, 22, 16, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -42, -27, -60, -90, -78, -57, -42, -33, -23, -6 ], [ 56, 36, \
80, 120, 104, 76, 56, 44, 32, 9 ] ], thegtilde := [ [ 21, 40, -18, 20, -82, 40, 40, 0, -18, 80, 20, 0, -60, -40, 0, -80, 20, -60, 0, 0, -80, -80, -9, -71,\
 0, -69 ], [ 15, 31, -14, 15, -61, 30, 30, 0, -14, 60, 15, 0, -45, -30, -1, -61, 16, -45, 1, 2, -61, -61, -8, -55, -1, -53 ], [ 26, 52, -23, 26, -106, 52,\
 52, 0, -24, 104, 26, 0, -78, -52, 0, -104, 26, -78, 0, 0, -104, -104, -12, -92, -1, -90 ], [ 42, 84, -38, 43, -172, 84, 84, 0, -38, 168, 42, 0, -126, -84\
, 0, -168, 42, -126, 0, 0, -168, -168, -19, -149, 0, -145 ], [ 36, 72, -32, 36, -147, 72, 72, 0, -32, 144, 36, 0, -108, -72, 0, -144, 36, -108, 0, 0, -144\
, -144, -16, -128, -1, -124 ], [ 29, 58, -26, 29, -119, 59, 58, 0, -26, 116, 29, 0, -88, -58, -1, -117, 30, -87, 1, 1, -117, -116, -14, -104, -2, -100 ], \
[ 18, 36, -16, 18, -74, 36, 37, 0, -16, 72, 18, 0, -54, -36, 0, -72, 18, -54, 0, 0, -72, -72, -8, -64, -1, -62 ], [ 17, 34, -16, 17, -69, 34, 34, 1, -16, \
68, 17, 0, -52, -34, -1, -69, 18, -51, 1, 1, -69, -68, -9, -61, -2, -59 ], [ 8, 16, -8, 8, -32, 16, 16, 0, -7, 32, 8, 0, -24, -16, 0, -32, 8, -24, 0, 0, -\
32, -32, -4, -29, 0, -28 ], [ 4, 8, -4, 4, -16, 8, 8, 0, -4, 17, 4, 0, -13, -8, 0, -17, 5, -12, 1, 0, -17, -16, -3, -16, -1, -14 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, -1, -6, -4, 0, -8, 2, -6, 0, 0, -8, -6, 0, -7, 0, -6 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, \
0, 0, 0, 0 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, -1, -8, 2, -6, 0, 2, -8, -8, -1, -7, 0, -7 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, \
-4, 0, -9, 4, -6, 2, 2, -10, -10, -3, -9, -2, -9 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 3, -6, 0, 0, -8, -8, -1, -8, -1, -7 ], [ 4, 8,\
 -4, 4, -16, 8, 8, 0, -4, 16, 4, 0, -12, -8, 0, -16, 4, -11, 0, 0, -16, -16, -2, -14, 0, -14 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 2,\
 -6, 1, 0, -8, -8, -1, -8, -1, -7 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 2, -6, 0, 1, -8, -8, -1, -7, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2\
, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 2, -6, 0, 0, -8, -8, 0, -7, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 4, -2, 2, -8, 4, 4, 0, -2, 8, 2, 0, -6, -4, 0, -8, 2, -6,\
 0, 0, -8, -8, -1, -7, 0, -6 ] ] ), rec( GramQ := [ [ -16, -36, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -36, -108, -48, -70, -63, 16, -10\
, -4, -18, -16, -1, -3, -10, -4, -4, 14, -2 ], [ -20, -48, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -70, -40, -60, -48, 12, 0, 0, \
-6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -63, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 16, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0,\
 2, -2, -4, 0 ], [ 0, -10, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -4, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ],\
 [ -3, -18, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -16, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -1, 3, 6\
, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -3, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -10, 0, 0, -4, 0, -8, -4, -8\
, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -4, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ]\
, [ 6, 14, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, \
4, 2, 4, -2, -2, 0, 0 ], [ -4, -8, 8, 0, 4, -2, -2, 0, 0 ], [ 4, 8, -20, 4, -4, 2, 2, 0, 0 ], [ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 4, 4, -4, 2, -8, 4, 2, 0, \
0 ], [ -2, -2, 2, 0, 4, -4, 0, 0, 0 ], [ -2, -2, 2, 0, 2, 0, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0,\
 1, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 1, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1\
, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 12, -5, 6, -14, 2, 10, 2, 0, 4, 2, 1, -5, -8, 0, -11, 2, -9, 1, 0, -14\
, -10, -2, -11, 1, -10 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 0, -8, 0, 0,\
 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, \
0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, \
0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, -2, 4, -2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, -2, 1,\
 1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, -2, 4, -2, 0, 0, 0, 0, 2, 4, 0, 4, 0, 2, 0, 0, 0, 3, 3, 2, -1, 3 ], [ -4, 4, -2, 2, 0, 2, -4, 2, 0, 0, 2, 0, -2, -4, 0,\
 -4, -2, -2, 0, 0, 0, -3, -3, -2, 2, -3 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 4, -4, 2\
, -1, 0, -1, 0, -3, -3, 0, -3, 0, -4, 0, 0, 2, -2, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0,\
 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, -2, 2, 1, 0, -2, -1, 0, -2, 1, -2, 0, 0, -1, -\
1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2 ] ], r := [ 8, 5, 12, 18, 16, 12, 8, 6, 4, 2 ], rlifts\
 := [ [ 0, 2, -1, 1, -2, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -2, -1, 0, -1, 0, -1 ] ], rootsQ := [ [ 0, 1, -1, 1, -2, 0, 0, 0, -1, 0, -1, -1, \
2, -1, 0, 0, 2 ], [ 0, -1, 1, -1, 2, 0, 0, 0, 1, 0, 1, 1, -2, 1, 0, 0, -2 ], [ 0, 1, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 1, -2, -1, -1, 1 ], [ 0, -1, 1, -1, \
2, 0, 0, 0, 0, 1, 0, 0, -1, 2, 1, 1, -1 ], [ 0, 1, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 1, -2, -1, -1, 0 ], [ 0, -1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, -1, 2, 1, \
1, 0 ], [ 0, 1, -1, 1, -2, 0, 0, 0, 1, -2, 1, 1, 0, -3, -2, -2, -1 ], [ 0, -1, 1, -1, 2, 0, 0, 0, -1, 2, -1, -1, 0, 3, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -2, \
1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, \
1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1,\
 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1,\
 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ \
:= [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 17, 10, 24, 36, 32, 24, 16, 12, 8, 4 ], [ 16, 11, 24, 36, 32, 24, 16, 12, 8, 4 ], [ -8, -5, -\
11, -18, -16, -12, -8, -6, -4, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -10, -24, -36, -31, -24, -16, -12, -8, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 \
], [ 16, 10, 24, 36, 32, 24, 17, 12, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegt\
ilde := [ [ 1, 20, -8, 10, -22, 0, 20, 0, 2, 0, 0, 0, 0, -10, 0, -10, 0, -10, 0, 0, -20, -10, 1, -11, 5, -9 ], [ 0, 19, -8, 9, -19, 0, 18, 0, 1, 0, 1, 0, \
0, -10, -1, -9, 0, -9, 0, 2, -18, -10, 0, -11, 5, -9 ], [ 0, 24, -9, 12, -26, 0, 24, 0, 2, 0, 0, 0, 0, -12, 0, -12, 0, -12, 0, 0, -24, -12, 1, -13, 5, -11\
 ], [ 0, 40, -16, 21, -44, 0, 40, 0, 4, 0, 0, 0, 0, -20, 0, -20, 0, -20, 0, 0, -40, -20, 2, -22, 10, -18 ], [ 0, 36, -14, 18, -39, 0, 36, 0, 4, 0, 0, 0, 0\
, -18, 0, -18, 0, -18, 0, 0, -36, -18, 2, -20, 8, -16 ], [ 0, 32, -13, 16, -35, 1, 32, 0, 3, 0, 1, 0, -1, -17, 0, -17, 1, -16, 1, 1, -33, -17, 0, -19, 6, \
-15 ], [ 0, 16, -6, 8, -18, 0, 17, 0, 2, 0, 0, 0, 0, -8, 0, -8, 0, -8, 0, 0, -16, -8, 1, -9, 3, -7 ], [ 0, 20, -9, 10, -21, 0, 20, 1, 1, 0, 1, 0, -1, -11,\
 0, -11, 1, -10, 1, 1, -21, -11, -1, -12, 3, -10 ], [ 0, 8, -4, 4, -8, 0, 8, 0, 1, 0, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, -8, -4, 0, -5, 2, -4 ], [ 0, 8, -4,\
 4, -8, 0, 8, 0, 0, 1, 0, 0, -1, -4, 0, -5, 1, -4, 1, 0, -9, -4, -1, -6, 1, -4 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 1, 0, 0, -2, 0, -2, 0, -2, 0, 0, -4, -\
2, 0, -3, 1, -2 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, -1, 0, -2, 0, -2, 0, -2, 0, 0, -4, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 2, -2, 2, 0, 2, -2, -2, 0, -2, -2, -3, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, -3, 0, -2, 0, -2, 0, 2, -4, -4, -1, -3, 1, -3 ], [ 0, 4, -2, 2, -4\
, 0, 4, 0, 0, 0, 0, 0, 0, -2, -1, -2, 0, -2, 0, 2, -4, -2, 0, -2, 1, -2 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, -1, 0, -2, 0, 2, -4, -2, 0, \
-2, 2, -2 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -2, 1, -2, 0, 0, -4, -2, 0, -3, 0, -2 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, \
-2, 0, -1, 0, 0, -4, -2, 0, -2, 1, -2 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 1, 0, -4, -2, 0, -3, 0, -2 ], [ 0, 4, -2, 2, -4, 0, \
4, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 1, -4, -2, 0, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, -4, -2, \
1, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, -4, -2, 0, -2, 1, -1 ] ] ), rec( GramQ := [ [ -16, -52, -20\
, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -52, -348, -70, -100, -97, 22, -36, -26, -40, -40, -9, -17, -24, 2, -18, 22, -6 ], [ -20, -70, -28, \
-40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -100, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -97, -33, -48, -42, 10, \
-5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 22, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -36, -1, 0, -5, -2, -12, -8, -8, -6, -5, \
-8, -8, 2, -6, 0, -2 ], [ 0, -26, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -40, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4,\
 2, 0 ], [ -4, -40, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -17\
, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0,\
 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 22, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 \
], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -8, -4, 2, -4, 0, -6, -12, 4 ], [ -8, -12, 0, 0, -4, 0, -6, -12,\
 4 ], [ -4, 0, -20, 4, -4, 0, -2, -8, 2 ], [ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ -4, -4, -4, 2, -8, 2, -2, -8, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -6, -6, \
-2, 0, -2, 2, -8, -8, 4 ], [ -12, -12, -8, 0, -8, 0, -8, -20, 6 ], [ 4, 4, 2, 0, 2, 0, 4, 6, -4 ] ], Sigma := [ [ 1, 1, -1, 1, -3, 1, 0, -3, 0, -4, 1, 0, \
4, -4, -3, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0,\
 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, \
0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 6, -18, 2, 10, 10, -8, 20, 6, 1, -17, -12, 0, -23, 6, -17, 1, 0, -22, -18, -2, -19, -3, -26 ], emb\
Q := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2, 2, -12, 4, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1\
, 0, 0, -2, 0, 0, -7 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,\
 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 2, -4, 1, 4, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, -3, -2, 0, -3, 0, 0 ], [ 0, -4, 2,\
 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 4, 0, 2, 0, 2, 0, 0, -1, 0, 2, 0, 0, 2 ], [ -4, 4, -2, 2, 0, 0, 2, -4, 2, 0, 2, 0, 2, 0, 0, 0, -2, 2, 0, 0, -3, -2, -2, -3\
, 3, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 2, -4, 1, 0, -1, 0, 1, 1, 0, 1, 0, 0, \
0, 0, -1, -1, 1, 0, 1, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 0, 4, 0, 0, -\
2, 0, 0, -2, 0, 0, 0, 0, -1, -3, -1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 4, -8, 2, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, -2, 0, -3, 2, 2 ], [ 1, 0, 0, 0, -1, \
0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 14, 9, 20, 30, 26, 20, 14, 10, 8, 2 ], rlifts := [ [ 1, 2, -1, 1, -3, 0, 2,\
 2, -2, 4, 1, 0, -3, -2, 0, -4, 1, -3, 0, 0, -4, -3, 0, -3, -1, -5 ] ], rootsQ := [ [ 1, 1, -1, 1, -3, 1, 0, -3, -1, -3, 0, -1, 5, -3, -2, -2, 1 ], [ -1, \
-1, 1, -1, 3, -1, 0, 3, 1, 3, 0, 1, -5, 3, 2, 2, -1 ], [ 1, 1, -1, 1, -3, 1, 0, -3, 0, -4, 1, 0, 4, -4, -3, -3, 0 ], [ -1, -1, 1, -1, 3, -1, 0, 3, 0, 4, -\
1, 0, -4, 4, 3, 3, 0 ], [ 1, 1, -1, 1, -3, 1, 0, -3, 0, -4, 1, 0, 4, -4, -3, -3, -1 ], [ -1, -1, 1, -1, 3, -1, 0, 3, 0, 4, -1, 0, -4, 4, 3, 3, 1 ], [ 1, 1\
, -1, 1, -3, 1, 0, -3, 1, -5, 2, 1, 3, -5, -4, -4, -2 ], [ -1, -1, 1, -1, 3, -1, 0, 3, -1, 5, -2, -1, -3, 5, 4, 4, 2 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, \
-1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, \
-1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [\
 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, \
-1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1",\
 "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 29, 18, 40, 60, 52, 40, 28, 20, 16, 4 ], [ 28, 19, 40, 60, 52, 40, 28, 20, 16, 4 ], [ -14, -9, -19, -30\
, -26, -20, -14, -10, -8, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -28, -18, -40, -60, -51, -40, -28, -20, -16, -4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 28, 18, 40, 60, 52, 40, 29, 20, 16, 4 ], [ 28, 18, 40, 60, 52, 40, 28, 21, 16, 4 ], [ -56, -36, -80, -120, -104, -80, -56, -40, -31, -8 ], [ 56, 36, 80, \
120, 104, 80, 56, 40, 32, 9 ] ], thegtilde := [ [ 21, 40, -18, 20, -62, 0, 40, 40, -38, 80, 20, 0, -60, -40, 0, -80, 20, -60, 0, 0, -80, -60, 1, -61, -10,\
 -99 ], [ 15, 31, -14, 15, -46, 0, 30, 30, -29, 60, 16, 0, -45, -31, -1, -60, 15, -45, 0, 2, -60, -46, 0, -47, -7, -75 ], [ 26, 52, -23, 26, -80, 0, 52, 5\
2, -50, 104, 26, 0, -78, -52, 0, -104, 26, -78, 0, 0, -104, -78, 1, -79, -14, -129 ], [ 42, 84, -38, 43, -130, 0, 84, 84, -80, 168, 42, 0, -126, -84, 0, -\
168, 42, -126, 0, 0, -168, -126, 2, -128, -21, -208 ], [ 36, 72, -32, 36, -111, 0, 72, 72, -68, 144, 36, 0, -108, -72, 0, -144, 36, -108, 0, 0, -144, -108\
, 2, -110, -19, -178 ], [ 30, 60, -27, 30, -93, 1, 60, 60, -57, 120, 31, 0, -91, -61, 0, -121, 31, -90, 1, 1, -121, -91, 0, -93, -17, -149 ], [ 18, 36, -1\
6, 18, -56, 0, 37, 36, -34, 72, 18, 0, -54, -36, 0, -72, 18, -54, 0, 0, -72, -54, 1, -55, -10, -89 ], [ 16, 32, -15, 16, -49, 0, 32, 33, -31, 64, 17, 0, -\
49, -33, 0, -65, 17, -48, 1, 1, -65, -49, -1, -50, -10, -80 ], [ 8, 16, -8, 8, -24, 0, 16, 16, -15, 32, 8, 0, -24, -16, 0, -32, 8, -24, 0, 0, -32, -24, 0,\
 -25, -4, -40 ], [ 4, 8, -4, 4, -12, 0, 8, 8, -8, 17, 4, 0, -13, -8, 0, -17, 5, -12, 1, 0, -17, -12, -1, -14, -3, -20 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, -1, -6, -4, 0, -8, 2, -6, 0, 0, -8, -4, 1, -6, -1, -9 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, -2, 2, 0, 2, -2, -2, 0, -2, -2, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, \
-1, 0, -1 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, -1, -8, 2, -6, 0, 2, -8, -6, 0, -6, -1, -10 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, \
-4, -2, -7, 2, -6, 0, 2, -8, -6, 0, -6, 0, -10 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 3, -6, 0, 0, -8, -6, 0, -7, -2, -10 ], [ 4, 8, -\
4, 4, -12, 0, 8, 8, -8, 16, 4, 0, -12, -8, 0, -16, 4, -11, 0, 0, -16, -12, 0, -12, -2, -20 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 2, -\
6, 1, 0, -8, -6, 0, -7, -2, -10 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 2, -6, 0, 1, -8, -6, 0, -6, -1, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2,\
 -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 2, -6, 0, 0, -8, -6, 1, -6, -1, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 4, -2, 2, -6, 0, 4, 4, -4, 8, 2, 0, -6, -4, 0, -8, 2, -6\
, 0, 0, -8, -6, 0, -6, -1, -9 ] ] ), rec( GramQ := [ [ -16, -41, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -41, -206, -52, -76, -71, 11, -2\
7, -20, -27, -34, -7, -11, -16, 7, -16, 16, -2 ], [ -20, -52, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -76, -40, -60, -48, 12, 0, \
0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -71, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 11, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3,\
 0, 2, -2, -4, 0 ], [ 0, -27, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -20, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -\
2 ], [ -3, -27, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -34, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, \
3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -16, 0, 0, -4, 0, -8, -\
4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 7, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -16, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0\
, 0 ], [ 6, 16, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8,\
 -4, 2, 2, 4, -2, 0, -2, 0 ], [ -4, -8, 4, 0, 4, -2, 0, -2, 0 ], [ 2, 4, -8, 2, -2, -2, 0, 0, -6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 4, -2, 2, -8, 4, \
0, 2, 0 ], [ -2, -2, -2, 0, 4, -8, 2, -2, -6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, -2, 0, 0, 2, -2, 2, -4, -2 ], [ 0, 0, -6, 0, 0, -6, 0, -2, -12 ] ], \
Sigma := [ [ 0, 1, -1, 1, -2, 0, 0, -2, 0, -3, 0, 1, 3, -2, -3, -2, 0 ], [ 0, 1, -1, 1, -2, 0, 0, -2, 0, -3, 0, -1, 4, -2, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 0\
, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -\
1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, \
1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl\
 := [ 0, 8, -3, 4, -10, 4, 2, 4, -2, 8, 2, 1, -9, -8, 0, -13, 2, -9, 1, 0, -10, -11, -3, -10, 0, -11 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 1, 0, 1, -9, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0,\
 -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0,\
 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQper\
p := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, \
0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, 0, -2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0,\
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1, -4, 2, 2, -2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, 1, 1, -1, -1, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0,\
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, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 8, 5, 12, 18, 16, 12, 9, 6, 4, 1 ], rlifts := [ [ 0, 2, -1, 1, -2, 1, 0, 1, -1, 2, 0, 0, -2, -2, 0, -3, 0, -2,\
 -1, 0, -2, -2, 0, -1, 1, -2 ], [ 0, 2, -1, 1, -2, 1, 0, 1, -1, 2, 0, 0, -2, -2, 0, -3, 0, -2, 1, 0, -2, -3, -1, -2, 0, -3 ] ], rootsQ := [ [ 0, 1, -1, 1,\
 -2, 0, 0, -2, 0, -3, 0, 1, 3, -2, -3, -2, 0 ], [ 0, -1, 1, -1, 2, 0, 0, 2, 0, 3, 0, -1, -3, 2, 3, 2, 0 ], [ 0, 1, -1, 1, -2, 0, 0, -2, 0, -3, 0, -1, 4, -\
2, -2, -1, 1 ], [ 0, -1, 1, -1, 2, 0, 0, 2, 0, 3, 0, 1, -4, 2, 2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, \
2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1,\
 -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0,\
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1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1" ], theg := [ [ 17, 10, 24, 36, 32, 24, 18, 12, 8, 2 ], [ 16, 11, 24, 36, 32, 24, 18, 12, 8, 2 ], [ -8, -5, -11, -18, -16, -12, -9, -6, -4, -1 ], \
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -10, -24, -36, -31, -24, -18, -12, -8, -2 ], [ 8, 5, 12, 18, 16, 13, 9, 6, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
 ], [ 8, 5, 12, 18, 16, 12, 9, 7, 4, 1 ], [ -8, -5, -12, -18, -16, -12, -9, -6, -3, -1 ], [ 16, 10, 24, 36, 32, 24, 18, 12, 8, 3 ] ], thegtilde := [ [ 1, \
20, -8, 10, -22, 10, 0, 10, -8, 20, 0, 0, -20, -20, 0, -30, 0, -20, 0, 0, -20, -25, -4, -16, 5, -24 ], [ 0, 19, -8, 9, -19, 9, 0, 9, -8, 18, 1, 0, -18, -1\
9, 0, -28, 1, -18, 0, 2, -19, -24, -5, -16, 4, -23 ], [ 0, 24, -9, 12, -26, 12, 0, 12, -10, 24, 0, 0, -24, -24, 0, -36, 0, -24, 0, 0, -24, -30, -5, -19, 5\
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-14, 36, 0, 0, -36, -36, 0, -54, 0, -36, 0, 0, -36, -45, -7, -29, 8, -43 ], [ 0, 32, -13, 16, -35, 17, 0, 16, -13, 32, 1, 0, -33, -33, 0, -49, 1, -32, 1, \
1, -33, -41, -8, -27, 6, -39 ], [ 0, 18, -7, 9, -20, 9, 1, 9, -7, 18, 0, 0, -18, -18, 0, -27, 0, -18, -1, 0, -18, -22, -3, -14, 4, -21 ], [ 0, 20, -9, 10,\
 -21, 10, 0, 11, -9, 20, 1, 0, -21, -21, 0, -31, 1, -20, 1, 1, -21, -26, -6, -17, 3, -25 ], [ 0, 8, -4, 4, -8, 4, 0, 4, -3, 8, 0, 0, -8, -8, 0, -12, 0, -8\
, 0, 0, -8, -10, -2, -7, 2, -10 ], [ 0, 6, -3, 3, -6, 3, 0, 3, -3, 7, 0, 0, -7, -6, 0, -10, 1, -6, 0, 0, -7, -7, -2, -6, 1, -7 ], [ 0, 4, -2, 2, -4, 2, 0,\
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 1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 2, 0, -4, -5, 0, -6, 0, -\
4, 0, 2, -4, -7, -2, -4, 1, -6 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, -1, -6, 0, -4, 0, 2, -4, -5, -1, -3, 1, -5 ], [ 0, 4, -2, 2, -4, 2, 0, \
2, -2, 4, 0, 0, -4, -4, 0, -7, 2, -4, 2, 2, -6, -7, -3, -5, -1, -7 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0, -6, 1, -4, 0, 0, -4, -5, -1, -4,\
 0, -5 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0, -6, 0, -3, 0, 0, -4, -5, -1, -3, 1, -5 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0\
, -6, 0, -4, -1, 0, -4, -4, 0, -3, 1, -4 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0, -6, 0, -4, 0, 1, -4, -5, -1, -3, 1, -5 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, \
4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0, -6, 0, -4, 0, 0, -4, -5, 0, -3, 1, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 4, -2, 2, -4, 2, 0, 2, -2, 4, 0, 0, -4, -4, 0, -6\
, 0, -4, 0, 0, -4, -5, -1, -3, 1, -4 ] ] ), rec( GramQ := [ [ -16, -48, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -48, -276, -64, -94, -89,\
 18, -32, -22, -36, -38, -5, -13, -22, 6, -18, 20, -2 ], [ -20, -64, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -94, -40, -60, -48, \
12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -89, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 18, 8, 12, 10, -8, -2, -2, 3, 2, \
-2, -3, 0, 2, -2, -4, 0 ], [ 0, -32, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -\
4, 0, -2 ], [ -3, -36, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -38, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ \
2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -22, 0, 0, -4, 0\
, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2\
, -4, 0, 0 ], [ 6, 20, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := \
[ [ -8, -4, 4, 2, 4, -4, 0, 0, 2 ], [ -4, -8, 8, 0, 4, -4, 0, 0, 2 ], [ 4, 8, -20, 4, -4, 4, 0, 0, -2 ], [ 2, 0, 4, -4, 2, 0, 0, 0, 0 ], [ 4, 4, -4, 2, -8\
, 6, 0, 0, -2 ], [ -4, -4, 4, 0, 6, -8, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 2, -2, 0, -2, 2, 0, 2, -4 ] ], Sig\
ma := [ [ 1, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -3, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, \
0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 6, -18, 10, 2, 2, 0, 12, 6, 1, -13, -12, 0, -19, \
6, -17, 1, 0, -14, -18, -6, -19, 1, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2\
, 0, 0, -10, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, -3, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [\
 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2\
, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -4, 4, -2, 2, 0, 0, 0, 0, 2\
, -4, 2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, -1, 2, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0\
, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1\
, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0,\
 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 8, 5, 12, 18, 16, 12, 10,\
 8, 6, 2 ], rlifts := [ [ 1, 2, -1, 1, -3, 2, 0, 0, 0, 2, 1, 0, -2, -2, 0, -3, 1, -3, 0, 0, -2, -3, -1, -3, 0, -3 ] ], rootsQ := [ [ 1, 1, -1, 1, -3, 1, 0\
, -2, -1, -2, 0, -1, 4, -1, -2, -2, 2 ], [ -1, -1, 1, -1, 3, -1, 0, 2, 1, 2, 0, 1, -4, 1, 2, 2, -2 ], [ 1, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -3,\
 -3, 1 ], [ -1, -1, 1, -1, 3, -1, 0, 2, 0, 3, -1, 0, -3, 2, 3, 3, -1 ], [ 1, 1, -1, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -3, -3, 0 ], [ -1, -1, 1, -1, 3, \
-1, 0, 2, 0, 3, -1, 0, -3, 2, 3, 3, 0 ], [ 1, 1, -1, 1, -3, 1, 0, -2, 1, -4, 2, 1, 2, -3, -4, -4, -1 ], [ -1, -1, 1, -1, 3, -1, 0, 2, -1, 4, -2, -1, -2, 3\
, 4, 4, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 \
], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1,\
 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, \
0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, \
0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 17, 10, 24, 36, 32, 24, 20, 16, 12, 4 ], [ 16, 11, 24, 3\
6, 32, 24, 20, 16, 12, 4 ], [ -8, -5, -11, -18, -16, -12, -10, -8, -6, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -16, -10, -24, -36, -31, -24, -20, -16, -\
12, -4 ], [ 16, 10, 24, 36, 32, 25, 20, 16, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -16, -10, -24, -36, -32, -24, -\
20, -16, -11, -4 ], [ 16, 10, 24, 36, 32, 24, 20, 16, 12, 5 ] ], thegtilde := [ [ 15, 28, -12, 14, -44, 28, 0, 0, 2, 28, 14, 0, -28, -28, 0, -42, 14, -42,\
 0, 0, -28, -42, -13, -43, 7, -41 ], [ 11, 23, -10, 11, -34, 22, 0, 0, 1, 22, 12, 0, -22, -23, -1, -33, 11, -33, 0, 2, -22, -34, -11, -35, 6, -33 ], [ 18,\
 36, -15, 18, -56, 36, 0, 0, 2, 36, 18, 0, -36, -36, 0, -54, 18, -54, 0, 0, -36, -54, -17, -55, 8, -53 ], [ 30, 60, -26, 31, -94, 60, 0, 0, 4, 60, 30, 0, \
-60, -60, 0, -90, 30, -90, 0, 0, -60, -90, -28, -92, 15, -88 ], [ 26, 52, -22, 26, -81, 52, 0, 0, 4, 52, 26, 0, -52, -52, 0, -78, 26, -78, 0, 0, -52, -78,\
 -24, -80, 12, -76 ], [ 22, 44, -19, 22, -69, 45, 0, 0, 3, 44, 23, 0, -45, -45, 0, -67, 23, -66, 1, 1, -45, -67, -22, -69, 9, -65 ], [ 14, 28, -12, 14, -4\
4, 28, 1, 0, 2, 28, 14, 0, -28, -28, 0, -42, 14, -42, 0, 0, -28, -42, -13, -43, 6, -41 ], [ 14, 28, -13, 14, -43, 28, 0, 1, 1, 28, 15, 0, -29, -29, 0, -43\
, 15, -42, 1, 1, -29, -43, -15, -44, 5, -42 ], [ 6, 12, -6, 6, -18, 12, 0, 0, 1, 12, 6, 0, -12, -12, 0, -18, 6, -18, 0, 0, -12, -18, -6, -19, 3, -18 ], [ \
4, 8, -4, 4, -12, 8, 0, 0, 0, 9, 4, 0, -9, -8, 0, -13, 5, -12, 1, 0, -9, -12, -5, -14, 1, -12 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, -1, -4, -4, 0, -6, 2, -6, 0, 0, -4, -4, -1, -6, 1, -5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 2, -2, 2, 0, 2, -2, -2, 0, -2, -2, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 2, 4, -2, \
2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, -1, -6, 2, -6, 0, 2, -4, -6, -2, -6, 1, -6 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, -2, -5, 2, -6, 0, 2, -4,\
 -6, -2, -6, 2, -6 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 3, -6, 0, 0, -4, -6, -2, -7, 0, -6 ], [ 4, 8, -4, 4, -12, 8, 0, 0, 0, 8, 4, 0\
, -8, -8, 0, -12, 4, -11, 0, 0, -8, -12, -4, -12, 2, -12 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 2, -6, 1, 0, -4, -6, -2, -7, 0, -6 ], [\
 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 2, -6, 0, 1, -4, -6, -2, -6, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -\
6, 2, -6, 0, 0, -4, -6, -1, -6, 1, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 4, -2, 2, -6, 4, 0, 0, 0, 4, 2, 0, -4, -4, 0, -6, 2, -6, 0, 0, -4, -6, -2, -6, 1, -5 ] ] ), rec(\
 GramQ := [ [ -16, -27, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -27, -140, -36, -52, -53, 12, -26, -18, -28, -30, -7, -13, -18, 4, -14, 1\
2, -2 ], [ -20, -36, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -52, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24,\
 -53, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 12, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -26, -1, 0, -5, \
-2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -28, -4, -6, -9, 3, -8, -4, -1\
0, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -30, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, \
0, -2, -2, -2 ], [ 3, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -18, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0\
, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 12, 8, 12, 10, -4, 0, 0, 2, 2\
, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -2, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -4, 6, 2, 6, 0, 0, -4, 8 ], [ -4, -8, 8,\
 0, 6, 0, 0, -4, 8 ], [ 6, 8, -16, 2, -12, 0, 0, 8, -18 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 6, 6, -12, 2, -16, 2, 0, 8, -18 ], [ 0, 0, 0, 0, 2, -4, 2, 0,\
 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -4, -4, 8, 0, 8, 0, 2, -8, 12 ], [ 8, 8, -18, 0, -18, 0, 0, 12, -28 ] ], Sigma := [ [ 1, 1, -2, 1, -1, 1, 0, -2, 0\
, -3, 1, 0, 2, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ \
0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 12, -5, 6, -14, 2, 2, 10, -4, 12, 6, 1, -13, -12, 0, -19, 6, -17, 1, 0, -14, -14, -4, -17, -1, \
-24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 2, -6, 2, 0, 0, 0, -1, 0, 0, 0,\
 -2, 0, 1, 0, 0, -2, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -\
1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ]\
, [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2, 0, 2, -2, 0, 1, 0, -2, 0, 0\
, 2, 2, -1, 0, 0, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 1, -3, 2, 0, 2, 1, -6, 0, 0, 1, -2, \
0, 1, 1, -4, 0, 0, 3, 2, 1, 2, -1, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0,\
 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 2, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0,\
 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 8, 5, 12, 18, 16, 13, 10, 7, 6, 2 ], rlifts := [ [ 1, 2, -2, 1, -\
1, 0, 0, 2, -2, 2, 1, 0, -2, -2, 0, -3, 1, -3, 0, 0, -2, -2, -1, -2, 0, -5 ] ], rootsQ := [ [ 1, 1, -1, 1, -2, 0, 0, -2, -1, -3, 1, 0, 3, -2, -1, -2, 0 ],\
 [ -1, -1, 1, -1, 2, 0, 0, 2, 1, 3, -1, 0, -3, 2, 1, 2, 0 ], [ 1, 1, -2, 1, -1, 1, 0, -2, 0, -3, 1, 0, 2, -2, -2, -2, 0 ], [ -1, -1, 2, -1, 1, -1, 0, 2, 0\
, 3, -1, 0, -2, 2, 2, 2, 0 ], [ 1, 1, 0, 1, -3, 1, 0, -2, 0, -3, 1, 0, 3, -2, -2, -3, 0 ], [ -1, -1, 0, -1, 3, -1, 0, 2, 0, 3, -1, 0, -3, 2, 2, 3, 0 ], [ \
1, 1, -1, 1, -2, 2, 0, -2, 1, -3, 1, 0, 2, -2, -3, -3, 0 ], [ -1, -1, 1, -1, 2, -2, 0, 2, -1, 3, -1, 0, -2, 2, 3, 3, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1\
, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1\
, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ],\
 [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0\
, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1\
", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 17, 10, 24, 36, 32, 26, 20, 14, 12, 4 ], [ 16, 11, 24, 36, 32, 26, 20, 14, 12, 4 ], [ -8, -5, -11, -1\
8, -16, -13, -10, -7, -6, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -12, -18, -15, -13, -10, -7, -6, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 24, 36, 32, 26, 20, 15, 12, 4 ], [ -24, -15, -36, -54, -48, -39, -30, -21, -17, -6 ], [ 16, 10, 24, 36, 32, 26, 20,\
 14, 12, 5 ] ], thegtilde := [ [ 15, 28, -12, 14, -30, 0, 0, 28, -12, 28, 14, 0, -28, -28, 0, -42, 14, -42, 0, 0, -28, -28, -6, -36, 0, -62 ], [ 11, 23, -\
10, 11, -23, 0, 0, 22, -10, 22, 11, 0, -22, -22, -1, -34, 12, -33, 1, 2, -23, -23, -6, -30, -1, -50 ], [ 18, 36, -15, 18, -38, 0, 0, 36, -16, 36, 18, 0, -\
36, -36, 0, -54, 18, -54, 0, 0, -36, -36, -8, -46, -1, -80 ], [ 30, 60, -26, 31, -64, 0, 0, 60, -26, 60, 30, 0, -60, -60, 0, -90, 30, -90, 0, 0, -60, -60,\
 -13, -77, 0, -133 ], [ 26, 52, -22, 26, -55, 0, 0, 52, -22, 52, 26, 0, -52, -52, 0, -78, 26, -78, 0, 0, -52, -52, -11, -67, -1, -115 ], [ 23, 46, -20, 23\
, -49, 1, 0, 46, -20, 46, 23, 0, -47, -46, -1, -70, 24, -69, 1, 1, -47, -46, -11, -60, -2, -102 ], [ 14, 28, -12, 14, -30, 0, 1, 28, -12, 28, 14, 0, -28, \
-28, 0, -42, 14, -42, 0, 0, -28, -28, -6, -36, -1, -62 ], [ 13, 26, -12, 13, -27, 0, 0, 27, -12, 26, 13, 0, -27, -26, -1, -40, 14, -39, 1, 1, -27, -26, -7\
, -34, -2, -58 ], [ 6, 12, -6, 6, -12, 0, 0, 12, -5, 12, 6, 0, -12, -12, 0, -18, 6, -18, 0, 0, -12, -12, -3, -16, 0, -27 ], [ 4, 8, -4, 4, -8, 0, 0, 8, -4\
, 9, 4, 0, -9, -8, 0, -13, 5, -12, 1, 0, -9, -8, -3, -12, -1, -18 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ \
2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, -1, -4, -4, 0, -6, 2, -6, 0, 0, -4, -2, 0, -5, 0, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2\
, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, \
-1, -6, 2, -6, 0, 2, -4, -4, -1, -5, 0, -9 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -7, 4, -6, 2, 2, -6, -6, -3, -7, -2, -11 ], [ 2, 4, -2, \
2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 3, -6, 0, 0, -4, -4, -1, -6, -1, -9 ], [ 4, 8, -4, 4, -8, 0, 0, 8, -4, 8, 4, 0, -8, -8, 0, -12, 4, -11, 0, 0, \
-8, -8, -2, -10, 0, -18 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 2, -6, 1, 0, -4, -4, -1, -6, -1, -9 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, \
4, 2, 0, -4, -4, 0, -6, 2, -6, 0, 1, -4, -4, -1, -5, 0, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 2, -6, 0, 0, -4, -4, 0, -5\
, 0, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0 ], [ 2, 4, -2, 2, -4, 0, 0, 4, -2, 4, 2, 0, -4, -4, 0, -6, 2, -6, 0, 0, -4, -4, -1, -5, 0, -8 ] ] ), rec( GramQ := [ [ -16, -111, -20,\
 -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -111, -1184, -146, -212, -195, 50, -52, -36, -68, -72, -9, -17, -36, 4, -26, 46, -8 ], [ -20, -146, -\
28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -212, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -195, -33, -48, -42,\
 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 50, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -52, -1, 0, -5, -2, -12, -8, -8, -6,\
 -5, -8, -8, 2, -6, 0, -2 ], [ 0, -36, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -68, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0\
, -4, 2, 0 ], [ -4, -72, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -9, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3\
, -17, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -36, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, \
2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -26, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 46, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -\
4, 0 ], [ 0, -8, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 4, -32, -14, -12, -16, -16, -12, -36 ], [ 4, -8, 16, 4, 6, \
4, 4, 4, 12 ], [ -32, 16, -80, -30, -30, -32, -32, -26, -78 ], [ -14, 4, -30, -20, -10, -16, -16, -12, -36 ], [ -12, 6, -30, -10, -16, -10, -12, -10, -30 \
], [ -16, 4, -32, -16, -10, -20, -14, -12, -36 ], [ -16, 4, -32, -16, -12, -14, -20, -10, -36 ], [ -12, 4, -26, -12, -10, -12, -10, -12, -28 ], [ -36, 12,\
 -78, -36, -30, -36, -36, -28, -84 ] ], Sigma := [ [ 0, 1, -3, 2, -4, 3, 0, -4, 0, -6, 1, 0, 6, -5, -5, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -\
2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -\
1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 10, -2\
6, 10, 10, 10, -4, 20, 14, 1, -21, -20, 0, -31, 6, -25, 1, 0, -26, -26, -8, -29, -1, -32 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, -22, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -5, 0, 0, -9 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0\
, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 2,\
 0, 0, -1, -1, 0, 0, 4, 1, -4, 2, 0, 0, -2, 0, 0, 3, -4, 0, 0, 2, 2, 0, -1, -3, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 2, 1, -1, 0 ], [ 1, 2, -1, 1, -3, 0, 0, 6, 4, -14, 4, 0, 4, -4, 0, 3, 2, -6, 0, 0, 6, 6, -1, 1, -2, 0 ], [ 4, 0, 0, -1, -2, 0, 0, 4, 0, -4, 2, 0, 0, -2\
, 0, 0, 2, -3, 0, 0, 2, 2, -1, 0, -2, -2 ], [ 0, 0, 0, 1, -3, 2, 0, 2, 1, -6, 0, 0, 1, -2, 0, 1, 1, -4, 0, 0, 3, 2, 1, 2, -1, 2 ], [ 2, 0, 0, 0, 0, -4, 2,\
 4, 0, -4, 2, 0, 2, 0, 0, 2, 2, -2, 0, 0, 1, 4, 1, 0, -2, -3 ], [ 2, 0, 0, 0, -2, 2, -4, 6, 0, -4, 2, 0, -2, -4, 0, -2, 2, -6, 0, 0, 4, 1, -1, 0, -2, -3 ]\
, [ 2, 0, 0, 0, -2, 0, 2, 0, 2, -4, 2, 0, 2, 0, 0, 2, 2, -2, 0, 0, 1, 2, 0, -1, -1, 0 ], [ 4, 0, 0, 0, -4, 0, 0, 8, 2, -12, 4, 0, 2, -4, 0, 2, 4, -8, 0, 0\
, 6, 6, 0, 1, -4, -2 ] ], r := [ 20, 13, 30, 42, 36, 27, 20, 15, 12, 4 ], rlifts := [ [ 0, 4, -3, 2, -4, 2, 2, 2, -2, 4, 3, 0, -4, -4, 0, -6, 1, -5, 0, 0,\
 -5, -5, -2, -5, 0, -7 ] ], rootsQ := [ [ 0, 1, -2, 2, -5, 2, 0, -4, -1, -6, 1, 0, 7, -5, -4, -5, 0 ], [ 0, -1, 2, -2, 5, -2, 0, 4, 1, 6, -1, 0, -7, 5, 4,\
 5, 0 ], [ 0, 1, -3, 2, -4, 3, 0, -4, 0, -6, 1, 0, 6, -5, -5, -5, 0 ], [ 0, -1, 3, -2, 4, -3, 0, 4, 0, 6, -1, 0, -6, 5, 5, 5, 0 ], [ 0, 1, -1, 2, -6, 3, 0\
, -4, 0, -6, 1, 0, 7, -5, -5, -6, 0 ], [ 0, -1, 1, -2, 6, -3, 0, 4, 0, 6, -1, 0, -7, 5, 5, 6, 0 ], [ 0, 1, -2, 2, -5, 4, 0, -4, 1, -6, 1, 0, 6, -5, -6, -6\
, 0 ], [ 0, -1, 2, -2, 5, -4, 0, 4, -1, 6, -1, 0, -6, 5, 6, 6, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, \
1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1\
, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, \
0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 4\
1, 26, 60, 84, 72, 54, 40, 30, 24, 8 ], [ 80, 53, 120, 168, 144, 108, 80, 60, 48, 16 ], [ -100, -65, -149, -210, -180, -135, -100, -75, -60, -20 ], [ 40, \
26, 60, 85, 72, 54, 40, 30, 24, 8 ], [ -60, -39, -90, -126, -107, -81, -60, -45, -36, -12 ], [ 40, 26, 60, 84, 72, 55, 40, 30, 24, 8 ], [ 40, 26, 60, 84, \
72, 54, 41, 30, 24, 8 ], [ 40, 26, 60, 84, 72, 54, 40, 31, 24, 8 ], [ -100, -65, -150, -210, -180, -135, -100, -75, -59, -20 ], [ 80, 52, 120, 168, 144, 1\
08, 80, 60, 48, 17 ] ], thegtilde := [ [ 1, 128, -62, 64, -162, 64, 64, 64, -30, 128, 96, 0, -128, -128, 0, -192, 32, -160, 0, 0, -160, -160, -47, -177, 0\
, -207 ], [ 0, 77, -37, 38, -96, 38, 38, 38, -18, 76, 57, 0, -76, -76, -1, -115, 20, -95, 1, 2, -96, -96, -29, -107, -1, -124 ], [ 0, 160, -77, 80, -202, \
80, 80, 80, -38, 160, 120, 0, -160, -160, 0, -240, 40, -200, 0, 0, -200, -200, -59, -221, -1, -259 ], [ 0, 256, -124, 129, -324, 128, 128, 128, -60, 256, \
192, 0, -256, -256, 0, -384, 64, -320, 0, 0, -320, -320, -94, -354, 0, -414 ], [ 0, 216, -104, 108, -273, 108, 108, 108, -50, 216, 162, 0, -216, -216, 0, \
-324, 54, -270, 0, 0, -270, -270, -79, -299, -1, -349 ], [ 0, 164, -79, 82, -208, 83, 82, 82, -38, 164, 123, 0, -165, -164, -1, -247, 42, -205, 1, 1, -206\
, -205, -61, -228, -2, -265 ], [ 0, 112, -54, 56, -142, 56, 57, 56, -26, 112, 84, 0, -112, -112, 0, -168, 28, -140, 0, 0, -140, -140, -41, -155, -1, -181 \
], [ 0, 92, -45, 46, -116, 46, 46, 47, -22, 92, 69, 0, -93, -92, -1, -139, 24, -115, 1, 1, -116, -115, -35, -128, -2, -149 ], [ 0, 48, -24, 24, -60, 24, 2\
4, 24, -11, 48, 36, 0, -48, -48, 0, -72, 12, -60, 0, 0, -60, -60, -18, -67, 0, -78 ], [ 0, 32, -16, 16, -40, 16, 16, 16, -8, 33, 24, 0, -33, -32, 0, -49, \
9, -40, 1, 0, -41, -40, -13, -46, -1, -52 ], [ 0, -16, 8, -8, 20, -8, -8, -8, 4, -16, -11, 0, 16, 16, 0, 24, -4, 20, 0, 0, 20, 20, 6, 21, 0, 26 ], [ 0, 8,\
 -4, 4, -10, 4, 4, 4, -2, 8, 6, -1, -8, -8, 0, -12, 2, -10, 0, 0, -10, -8, -2, -11, 0, -12 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 8, 6, 0, -9, -8, 0, -12, 2,\
 -10, 0, -2, -10, -8, -3, -11, 0, -11 ], [ 0, -16, 8, -8, 20, -8, -8, -8, 4, -16, -12, 0, 16, 17, -2, 24, -4, 20, 0, 2, 20, 20, 6, 22, 0, 26 ], [ 0, 8, -4\
, 4, -10, 4, 4, 4, -2, 8, 6, 0, -8, -8, -1, -12, 2, -10, 0, 2, -10, -10, -3, -11, 0, -13 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 8, 6, 0, -8, -8, 0, -13, 4, -\
10, 2, 2, -12, -12, -5, -13, -2, -15 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 8, 6, 0, -8, -8, 0, -12, 3, -10, 0, 0, -10, -10, -3, -12, -1, -13 ], [ 0, 16, -8,\
 8, -20, 8, 8, 8, -4, 16, 12, 0, -16, -16, 0, -24, 4, -19, 0, 0, -20, -20, -6, -22, 0, -26 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 8, 6, 0, -8, -8, 0, -12, 2,\
 -10, 1, 0, -10, -10, -3, -12, -1, -13 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 8, 6, 0, -8, -8, 0, -12, 2, -10, 0, 1, -10, -10, -3, -11, 0, -13 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 16, -8, 8, -20, 8, 8, 8, -4, 16, 12, 0, -16, -16, 0, -24\
, 4, -20, 0, 0, -20, -20, -6, -22, 0, -25 ] ] ), rec( GramQ := [ [ -16, -93, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -93, -716, -120, -17\
6, -157, 36, -34, -22, -47, -53, -5, -9, -24, 2, -18, 36, -4 ], [ -20, -120, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -176, -40, -\
60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -157, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 36, 8, 12, 10, -8, -2, \
-2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -34, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5\
, -4, 2, -4, 0, -2 ], [ -3, -47, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -53, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, \
2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0,\
 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, \
-4, -4, 2, -4, 0, 0 ], [ 6, 36, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], Gram\
Qperp := [ [ -8, -8, 8, -2, 8, -4, -4, 0, 0 ], [ -8, -20, 18, -8, 16, -8, -8, 0, 0 ], [ 8, 18, -20, 10, -16, 8, 8, 0, 0 ], [ -2, -8, 10, -8, 10, -4, -4, 0\
, 0 ], [ 8, 16, -16, 10, -20, 10, 8, 0, 0 ], [ -4, -8, 8, -4, 10, -8, -2, 0, 0 ], [ -4, -8, 8, -4, 8, -2, -8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4 ], [ 0,\
 0, 0, 0, 0, 0, 0, 4, -12 ] ], Sigma := [ [ -1, 1, -2, 2, -4, 1, 0, -2, 1, -4, 0, 0, 4, -4, -4, -3, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -\
2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], \
[ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 20, -9, 10, -22, 10, \
10, 2, 0, 12, 6, 1, -13, -16, 0, -23, 2, -17, 1, 0, -22, -22, -6, -21, 3, -18 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 0, -19, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, \
0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, \
1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0\
, -1, -2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 4, -8, 1, 0, 4, -1, 0, 3, -1, 0, 0, 0, 3, 3, -1, 1, 1, 3 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, \
0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 3, -8, -1, 0, 3, -1, 0, 3, 0, -2, 0, 0, 4, 3, 1, 3, 0, 5 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2\
, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0,\
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 0, -1, -2, -4 ] ], r := [ 16, 10, 24, 34, 30, 22, 16, 12, 8, 3 ], rlifts := [ [ -1, 4, -2, 2, -4, 2, 2, 0, 0, 2, 1, 0, -2, -3, 1, -4, 0, -3, 0, -1, -4, -\
4, -1, -3, 1, -3 ] ], rootsQ := [ [ -1, 1, -2, 2, -4, 1, 0, -2, 0, -4, 0, 0, 5, -4, -4, -3, 1 ], [ 1, -1, 2, -2, 4, -1, 0, 2, 0, 4, 0, 0, -5, 4, 4, 3, -1 \
], [ -1, 1, -2, 2, -4, 1, 0, -2, 1, -4, 0, 0, 4, -4, -4, -3, 1 ], [ 1, -1, 2, -2, 4, -1, 0, 2, -1, 4, 0, 0, -4, 4, 4, 3, -1 ], [ -1, 1, -2, 2, -4, 1, 0, -\
2, -1, -4, 0, 0, 6, -4, -4, -4, 1 ], [ 1, -1, 2, -2, 4, -1, 0, 2, 1, 4, 0, 0, -6, 4, 4, 4, -1 ], [ -1, 1, -2, 2, -4, 1, 0, -2, 0, -4, 0, 0, 5, -4, -4, -4,\
 1 ], [ 1, -1, 2, -2, 4, -1, 0, 2, 0, 4, 0, 0, -5, 4, 4, 4, -1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1,\
 -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ \
0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, \
-1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 \
], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 33,\
 20, 48, 68, 60, 44, 32, 24, 16, 6 ], [ 64, 41, 96, 136, 120, 88, 64, 48, 32, 12 ], [ -64, -40, -95, -136, -120, -88, -64, -48, -32, -12 ], [ 32, 20, 48, \
69, 60, 44, 32, 24, 16, 6 ], [ -64, -40, -96, -136, -119, -88, -64, -48, -32, -12 ], [ 32, 20, 48, 68, 60, 45, 32, 24, 16, 6 ], [ 32, 20, 48, 68, 60, 44, \
33, 24, 16, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -16, -10, -24, -34, -30, -22, -16, -12, -7, -3 ], [ 32, 20, 48, 68, 60, 44, 32, 24, 16, 7 ] ], thegti\
lde := [ [ -21, 88, -42, 44, -90, 44, 44, 0, 2, 44, 22, 0, -44, -66, 0, -88, 0, -66, 0, 0, -88, -88, -21, -78, 22, -65 ], [ -14, 57, -27, 28, -57, 28, 28,\
 0, 1, 28, 15, 0, -28, -43, 0, -57, 1, -42, 1, 2, -57, -58, -15, -52, 13, -43 ], [ -26, 104, -49, 52, -106, 52, 52, 0, 2, 52, 26, 0, -52, -78, 0, -104, 0,\
 -78, 0, 0, -104, -104, -25, -92, 25, -77 ], [ -42, 168, -80, 85, -172, 84, 84, 0, 4, 84, 42, 0, -84, -126, 0, -168, 0, -126, 0, 0, -168, -168, -40, -149,\
 42, -124 ], [ -36, 144, -68, 72, -147, 72, 72, 0, 4, 72, 36, 0, -72, -108, 0, -144, 0, -108, 0, 0, -144, -144, -34, -128, 35, -106 ], [ -28, 112, -53, 56\
, -115, 57, 56, 0, 3, 56, 29, 0, -57, -85, 0, -113, 1, -84, 1, 1, -113, -113, -28, -102, 26, -83 ], [ -18, 72, -34, 36, -74, 36, 37, 0, 2, 36, 18, 0, -36,\
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, -66, 16, -54 ], [ -8, 32, -16, 16, -32, 16, 16, 0, 1, 16, 8, 0, -16, -24, 0, -32, 0, -24, 0, 0, -32, -32, -8, -28, 8, -24 ], [ -7, 28, -14, 14, -28, 14,\
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, 0, 0 ], [ -2, 8, -4, 4, -8, 4, 4, 0, 0, 4, 2, -1, -4, -6, 0, -8, 0, -6, 0, 0, -8, -6, -1, -7, 2, -5 ], [ -2, 8, -4, 4, -8, 4, 4, 0, 0, 4, 2, 0, -5, -6, \
0, -8, 0, -6, 0, -2, -8, -6, -2, -7, 2, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -2, 0, -1 ], [ -2, 8, -4, 4, -8, 4\
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4, -10, 0, -8 ], [ -2, 8, -4, 4, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 1, -6, 0, 0, -8, -8, -2, -7, 1, -6 ], [ -2, 8, -4, 4, -8, 4, 4, 0, 0, 4, 2, 0, -4\
, -6, 0, -8, 0, -5, 0, 0, -8, -8, -2, -7, 2, -6 ], [ -2, 8, -4, 4, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 0, -6, 1, 0, -8, -8, -2, -7, 1, -6 ], [ -2, 8, \
-4, 4, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 0, -6, 0, 1, -8, -8, -2, -7, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -4, 16, -8, 8, -16, 8, 8, 0, 0, 8, 4, 0, -8, -12, 0, -16, 0, -12, 0, 0, -16, -16, -4, -14, 4, -11 ] ] ), rec( GramQ :=\
 [ [ -16, -109, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -109, -1256, -142, -206, -191, 42, -60, -44, -69, -77, -13, -23, -38, 8, -32, 44,\
 -8 ], [ -20, -142, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -206, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24,\
 -191, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 42, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -60, -1, 0, -5,\
 -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -44, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -69, -4, -6, -9, 3, -8, -4, -\
10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -77, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -13, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4\
, 0, -2, -2, -2 ], [ 3, -23, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -38, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [\
 0, 8, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -32, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 44, 8, 12, 10, -4, 0, 0, 2,\
 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -8, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -56, -24, -56, -50, -56, -52, -52, -44, -8\
0 ], [ -24, -16, -22, -24, -24, -24, -24, -20, -36 ], [ -56, -22, -68, -54, -64, -56, -56, -48, -88 ], [ -50, -24, -54, -56, -54, -52, -52, -44, -80 ], [ \
-56, -24, -64, -54, -68, -54, -56, -48, -88 ], [ -52, -24, -56, -52, -54, -56, -50, -44, -80 ], [ -52, -24, -56, -52, -56, -50, -56, -42, -80 ], [ -44, -2\
0, -48, -44, -48, -44, -42, -40, -68 ], [ -80, -36, -88, -80, -88, -80, -80, -68, -124 ] ], Sigma := [ [ 0, 1, -2, 2, -5, 2, 0, -5, 1, -7, 1, 0, 7, -6, -6\
, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, \
-1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ]\
, [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 10, -26, 10, 10, 10, -8, 28, 10, 1, -25, -20, 0, -35, 6, -25, 1, 0, -30, -30, -6, -29, -1, -34 ], embQ := [ \
[ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 2, 2, -23, 6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, \
-4, 0, 0, -10 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1,\
 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 4, 0, 0, -1, -3, 0, 0, 8, -1, -4, 4, 0, -2, -4, 0, -2, 5, -8, 0, 0, 2, 2, 0, -2, -5, -6 ], [ 2, -4, 2, \
0, -2, 0, 0, 4, -2, 0, 2, 0, -2, 0, 0, 0, 2, -4, 0, 0, 2, 2, 2, 1, -3, -2 ], [ 2, 2, -1, 1, -4, 0, 0, 8, 0, -8, 5, 0, 0, -5, 0, -1, 3, -8, 0, 0, 3, 3, -1,\
 -1, -3, -5 ], [ 6, 0, 0, -1, -4, 0, 0, 8, -2, -4, 4, 0, -2, -4, 0, -2, 4, -7, 0, 0, 2, 2, -1, -1, -4, -6 ], [ 3, 0, 0, 1, -6, 2, 0, 8, -1, -8, 3, 0, -1, \
-5, 0, -1, 4, -10, 0, 0, 4, 3, 1, 1, -4, -3 ], [ 4, 0, 0, 0, -2, -4, 2, 8, -2, -4, 4, 0, 0, -2, 0, 0, 4, -6, 0, 0, 1, 4, 1, -1, -4, -7 ], [ 4, 0, 0, 0, -4\
, 2, -4, 10, -2, -4, 4, 0, -4, -6, 0, -4, 4, -10, 0, 0, 4, 1, -1, -1, -4, -7 ], [ 4, 0, 0, 0, -4, 0, 2, 4, 0, -4, 4, 0, 0, -2, 0, 0, 4, -6, 0, 0, 1, 2, 0,\
 -2, -3, -4 ], [ 6, 0, 0, 0, -6, 0, 0, 12, -2, -8, 6, 0, -2, -6, 0, -2, 6, -12, 0, 0, 4, 4, 0, -1, -6, -8 ] ], r := [ 22, 14, 32, 46, 40, 30, 22, 16, 12, \
3 ], rlifts := [ [ 0, 4, -2, 2, -5, 2, 2, 2, -2, 6, 2, 0, -5, -4, 1, -7, 1, -5, 0, -1, -6, -6, -1, -5, 0, -7 ] ], rootsQ := [ [ 0, 1, -2, 2, -5, 2, 0, -5,\
 0, -7, 1, 0, 8, -6, -6, -5, 0 ], [ 0, -1, 2, -2, 5, -2, 0, 5, 0, 7, -1, 0, -8, 6, 6, 5, 0 ], [ 0, 1, -2, 2, -5, 2, 0, -5, 1, -7, 1, 0, 7, -6, -6, -5, 0 ]\
, [ 0, -1, 2, -2, 5, -2, 0, 5, -1, 7, -1, 0, -7, 6, 6, 5, 0 ], [ 0, 1, -2, 2, -5, 2, 0, -5, -1, -7, 1, 0, 9, -6, -6, -6, 0 ], [ 0, -1, 2, -2, 5, -2, 0, 5,\
 1, 7, -1, 0, -9, 6, 6, 6, 0 ], [ 0, 1, -2, 2, -5, 2, 0, -5, 0, -7, 1, 0, 8, -6, -6, -6, 0 ], [ 0, -1, 2, -2, 5, -2, 0, 5, 0, 7, -1, 0, -8, 6, 6, 6, 0 ], \
[ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
-1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1\
, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, \
0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, \
0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, \
0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 45, 28, 64, 92, 80, 60, 44, 32, 24, 6 ], [ 88, 57, 128, 184, 160, 120\
, 88, 64, 48, 12 ], [ -88, -56, -127, -184, -160, -120, -88, -64, -48, -12 ], [ 44, 28, 64, 93, 80, 60, 44, 32, 24, 6 ], [ -88, -56, -128, -184, -159, -12\
0, -88, -64, -48, -12 ], [ 44, 28, 64, 92, 80, 61, 44, 32, 24, 6 ], [ 44, 28, 64, 92, 80, 60, 45, 32, 24, 6 ], [ 44, 28, 64, 92, 80, 60, 44, 33, 24, 6 ], \
[ -110, -70, -160, -230, -200, -150, -110, -80, -59, -15 ], [ 132, 84, 192, 276, 240, 180, 132, 96, 72, 19 ] ], thegtilde := [ [ 1, 128, -62, 64, -162, 64\
, 64, 64, -62, 192, 64, 0, -160, -128, 0, -224, 32, -160, 0, 0, -192, -192, -31, -177, 0, -223 ], [ 0, 81, -39, 40, -101, 40, 40, 40, -39, 120, 41, 0, -10\
0, -81, 0, -141, 21, -100, 1, 2, -121, -122, -21, -113, -1, -141 ], [ 0, 160, -77, 80, -202, 80, 80, 80, -78, 240, 80, 0, -200, -160, 0, -280, 40, -200, 0\
, 0, -240, -240, -39, -221, -1, -279 ], [ 0, 256, -124, 129, -324, 128, 128, 128, -124, 384, 128, 0, -320, -256, 0, -448, 64, -320, 0, 0, -384, -384, -62,\
 -354, 0, -446 ], [ 0, 216, -104, 108, -273, 108, 108, 108, -104, 324, 108, 0, -270, -216, 0, -378, 54, -270, 0, 0, -324, -324, -52, -299, -1, -376 ], [ 0\
, 168, -81, 84, -213, 85, 84, 84, -81, 252, 85, 0, -211, -169, 0, -295, 43, -210, 1, 1, -253, -253, -42, -235, -2, -293 ], [ 0, 112, -54, 56, -142, 56, 57\
, 56, -54, 168, 56, 0, -140, -112, 0, -196, 28, -140, 0, 0, -168, -168, -27, -155, -1, -195 ], [ 0, 96, -47, 48, -121, 48, 48, 49, -47, 144, 49, 0, -121, \
-97, 0, -169, 25, -120, 1, 1, -145, -145, -25, -135, -2, -168 ], [ 0, 48, -24, 24, -60, 24, 24, 24, -23, 72, 24, 0, -60, -48, 0, -84, 12, -60, 0, 0, -72, \
-72, -12, -66, 0, -84 ], [ 0, 28, -14, 14, -35, 14, 14, 14, -14, 43, 14, 0, -36, -28, 0, -50, 8, -35, 1, 0, -43, -42, -8, -40, -1, -49 ], [ 0, -8, 4, -4, \
10, -4, -4, -4, 4, -12, -3, 0, 10, 8, 0, 14, -2, 10, 0, 0, 12, 12, 2, 11, 0, 14 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -4, 12, 4, -1, -10, -8, 0, -14, 2, -10, 0,\
 0, -12, -10, -1, -11, 0, -13 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -4, 12, 4, 0, -11, -8, 0, -14, 2, -10, 0, -2, -12, -10, -2, -11, 0, -12 ], [ 0, -8, 4, -4, 1\
0, -4, -4, -4, 4, -12, -2, 0, 10, 7, 0, 14, -2, 10, 0, 2, 12, 10, 1, 9, 0, 13 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -4, 12, 4, 0, -10, -8, -1, -14, 2, -10, 0, 2\
, -12, -12, -2, -12, 0, -14 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -4, 12, 4, 0, -10, -8, 0, -15, 4, -10, 2, 2, -14, -14, -4, -14, -2, -16 ], [ 0, 8, -4, 4, -10,\
 4, 4, 4, -4, 12, 4, 0, -10, -8, 0, -14, 3, -10, 0, 0, -12, -12, -2, -11, -1, -14 ], [ 0, 16, -8, 8, -20, 8, 8, 8, -8, 24, 8, 0, -20, -16, 0, -28, 4, -19,\
 0, 0, -24, -24, -4, -22, 0, -28 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -4, 12, 4, 0, -10, -8, 0, -14, 2, -10, 1, 0, -12, -12, -2, -11, -1, -14 ], [ 0, 8, -4, 4,\
 -10, 4, 4, 4, -4, 12, 4, 0, -10, -8, 0, -14, 2, -10, 0, 1, -12, -12, -2, -11, 0, -14 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 16, -8, 8, -20, 8, 8, 8, -8, 24, 8, 0, -20, -16, 0, -28, 4, -20, 0, 0, -24, -24, -4, -22, 0, -27 ] ] ), rec( Gr\
amQ := [ [ -16, -72, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -72, -464, -92, -134, -121, 30, -28, -18, -39, -45, -7, -9, -20, 0, -14, 28,\
 -4 ], [ -20, -92, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -134, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, \
-121, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 30, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -28, -1, 0, -5, \
-2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -39, -4, -6, -9, 3, -8, -4, -1\
0, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -45, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, \
0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -20, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0,\
 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 28, 8, 12, 10, -4, 0, 0, 2, 2,\
 -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 8, -2, 12, 0, -4, -4, 2 ], [ -8, -20,\
 18, -8, 24, 0, -8, -8, 4 ], [ 8, 18, -20, 10, -24, 0, 8, 8, -4 ], [ -2, -8, 10, -8, 16, 0, -4, -4, 2 ], [ 12, 24, -24, 16, -52, 4, 12, 12, -6 ], [ 0, 0, \
0, 0, 4, -4, 2, 0, 0 ], [ -4, -8, 8, -4, 12, 2, -8, -2, 2 ], [ -4, -8, 8, -4, 12, 0, -2, -8, 4 ], [ 2, 4, -4, 2, -6, 0, 2, 4, -4 ] ], Sigma := [ [ -1, 1, \
-2, 2, -3, 1, -1, -1, -1, -3, -1, -1, 6, -3, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -\
1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ -4, 20, -9, 10, -18, 2, 10, 10, -4, 12, 6, 1, -13, -16, 0, -23, 2, -17, \
1, 0, -22, -18, -4, -19, 1, -24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 2, 2, \
-15, 2, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, -3, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0,\
 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
-1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0\
, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0, -1, -2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 4, -8,\
 1, 0, 4, -1, 0, 3, -1, 0, 0, 0, 3, 3, -1, 1, 1, 3 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [ -2, 0, \
0, 2, -4, 4, 0, 0, 4, -12, -2, 0, 4, -2, 0, 4, 0, -4, 0, 0, 6, 4, 2, 5, 0, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, \
0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 16, 10, 24, 34, 30, 23\
, 16, 11, 8, 3 ], rlifts := [ [ -1, 4, -2, 2, -3, 0, 2, 2, -1, 2, 1, -1, -1, -3, -1, -3, -1, -3, -1, 1, -3, -2, 1, -2, 2, -4 ] ], rootsQ := [ [ -1, 1, -2,\
 2, -3, 1, -1, -1, -1, -3, -1, -1, 6, -3, -2, -2, 2 ], [ 1, -1, 2, -2, 3, -1, 1, 1, 1, 3, 1, 1, -6, 3, 2, 2, -2 ], [ -1, 1, -2, 2, -3, 1, -1, -2, 0, -4, 0\
, 0, 5, -4, -2, -3, 1 ], [ 1, -1, 2, -2, 3, -1, 1, 2, 0, 4, 0, 0, -5, 4, 2, 3, -1 ], [ -1, 1, -2, 2, -3, 1, 1, -2, 0, -4, 0, 0, 4, -4, -4, -3, 0 ], [ 1, -\
1, 2, -2, 3, -1, -1, 2, 0, 4, 0, 0, -4, 4, 4, 3, 0 ], [ -1, 1, -2, 2, -3, 1, 1, -3, 1, -5, 1, 1, 3, -5, -4, -4, -1 ], [ 1, -1, 2, -2, 3, -1, -1, 3, -1, 5,\
 -1, -1, -3, 5, 4, 4, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, \
1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ]\
, [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0\
, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 33, 20, 48, 68, 60, 46, 32, 22, 16, 6 ], [\
 64, 41, 96, 136, 120, 92, 64, 44, 32, 12 ], [ -64, -40, -95, -136, -120, -92, -64, -44, -32, -12 ], [ 32, 20, 48, 69, 60, 46, 32, 22, 16, 6 ], [ -48, -30\
, -72, -102, -89, -69, -48, -33, -24, -9 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 32, 20, 48, 68, 60, 46, 33, 22, 16, 6 ], [ 32, 20, 48, 68, 60, 46, 32, 23,\
 16, 6 ], [ -32, -20, -48, -68, -60, -46, -32, -22, -15, -6 ], [ 32, 20, 48, 68, 60, 46, 32, 22, 16, 7 ] ], thegtilde := [ [ -21, 88, -42, 44, -68, 0, 44,\
 44, -20, 44, 22, 0, -44, -66, 0, -88, 0, -66, 0, 0, -88, -66, -10, -67, 11, -98 ], [ -14, 57, -27, 28, -43, 0, 28, 28, -13, 28, 15, 0, -28, -43, 0, -57, \
1, -42, 1, 2, -57, -44, -8, -45, 6, -64 ], [ -26, 104, -49, 52, -80, 0, 52, 52, -24, 52, 26, 0, -52, -78, 0, -104, 0, -78, 0, 0, -104, -78, -12, -79, 12, \
-116 ], [ -42, 168, -80, 85, -130, 0, 84, 84, -38, 84, 42, 0, -84, -126, 0, -168, 0, -126, 0, 0, -168, -126, -19, -128, 21, -187 ], [ -36, 144, -68, 72, -\
111, 0, 72, 72, -32, 72, 36, 0, -72, -108, 0, -144, 0, -108, 0, 0, -144, -108, -16, -110, 17, -160 ], [ -29, 116, -55, 58, -90, 1, 58, 58, -26, 58, 30, 1,\
 -59, -88, 0, -117, 1, -87, 1, 1, -117, -89, -15, -90, 12, -130 ], [ -18, 72, -34, 36, -56, 0, 37, 36, -16, 36, 18, 0, -36, -54, 0, -72, 0, -54, 0, 0, -72\
, -54, -8, -55, 8, -80 ], [ -17, 68, -33, 34, -52, 0, 34, 35, -16, 34, 18, 1, -35, -52, 0, -69, 1, -51, 1, 1, -69, -53, -10, -53, 6, -77 ], [ -8, 32, -16,\
 16, -24, 0, 16, 16, -7, 16, 8, 0, -16, -24, 0, -32, 0, -24, 0, 0, -32, -24, -4, -25, 4, -36 ], [ -7, 28, -14, 14, -21, 0, 14, 14, -7, 15, 7, 1, -15, -21,\
 0, -29, 1, -21, 1, 0, -29, -22, -5, -23, 2, -32 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ -2, 8, -4, 4, -6,\
 0, 4, 4, -2, 4, 2, 1, -4, -6, 0, -8, 0, -6, 0, 0, -8, -6, -1, -6, 0, -9 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2, 4, 2, 2, -5, -6, 0, -8, 0, -6, 0, -2, -8, -6,\
 -2, -6, 0, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6,\
 -1, -8, 0, -6, 0, 2, -8, -6, -1, -6, 1, -9 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -9, 2, -6, 2, 2, -10, -8, -3, -8, -1, -11 ], [ -2, 8, \
-4, 4, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 1, -6, 0, 0, -8, -6, -1, -7, 0, -9 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 0, -5, 0, 0\
, -8, -6, -1, -6, 1, -9 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 0, -6, 1, 0, -8, -6, -1, -7, 0, -9 ], [ -2, 8, -4, 4, -6, 0, 4, 4, -2,\
 4, 2, 0, -4, -6, 0, -8, 0, -6, 0, 1, -8, -6, -1, -6, 1, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0 ], [ -4, 16, -8, 8, -12, 0, 8, 8, -4, 8, 4, 0, -8, -12, 0, -16, 0, -12, 0, 0, -16, -12, -2, -12, 2, -17 ] ] ), rec( GramQ := [ [ -16, -84, -20, \
-30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -84, -808, -108, -158, -147, 32, -50, -36, -57, -67, -11, -19, -32, 10, -28, 34, -4 ], [ -20, -108, -2\
8, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -158, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -147, -33, -48, -42, \
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-5, -8, -8, 2, -6, 0, -2 ], [ 0, -36, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -57, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0,\
 -4, 2, 0 ], [ -4, -67, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -11, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3\
, -19, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -32, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 10, 0, 0, 0, 2, 2,\
 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -28, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 34, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, \
-4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -4, 4, -6, 0, -8, 2, -12, 4 ], [ -4, -8, 6, -4, 4, -4, 0, \
-4, 2 ], [ 4, 6, -8, 6, -4, 4, 0, 4, -2 ], [ -6, -4, 6, -12, 4, -8, 2, -12, 4 ], [ 0, 4, -4, 4, -24, 4, 2, -4, 0 ], [ -8, -4, 4, -8, 4, -12, 4, -12, 4 ], \
[ 2, 0, 0, 2, 2, 4, -4, 4, 0 ], [ -12, -4, 4, -12, -4, -12, 4, -20, 6 ], [ 4, 2, -2, 4, 0, 4, 0, 6, -4 ] ], Sigma := [ [ 0, 1, -2, 2, -4, 2, -1, -3, -1, -\
5, 0, -1, 8, -3, -4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0,\
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0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 10, -22, 10, 2, 10, -4, 20, 10, 1, -21, -20, 0, -31, 6, -25, 1, 0, -22, -26, -8, -27, 1, \
-32 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 0, 2, -17, 4, 0, 0, 0, -2, 0, 0, 0\
, -1, 0, 0, 0, 0, -4, 0, 0, -9 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 2, -4, 1, 4, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, -3, -2, 0, -3, 0, 0 ], [\
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 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, -3, -2, -1, -2, 1, 0 ], [ -2, 0, 0, 2, -4, 4, 2, -4, 2, -4, -2, 0, 2, 0\
, 0, 2, 0, -2, 0, 0, 1, 0, 2, 2, 1, 6 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 0, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 0, -4, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2,\
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 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r := [ 16, 10, 24, 34, 30, 23, 18, 13, 10, 3 ], rlifts := [ [ 0, 4, \
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-4, -4, 2 ], [ 0, -1, 2, -2, 4, -2, 1, 3, 1, 5, 0, 1, -8, 3, 4, 4, -2 ], [ 0, 1, -2, 2, -4, 2, -1, -4, 0, -6, 1, 0, 7, -4, -4, -5, 1 ], [ 0, -1, 2, -2, 4,\
 -2, 1, 4, 0, 6, -1, 0, -7, 4, 4, 5, -1 ], [ 0, 1, -2, 2, -4, 2, 1, -4, 0, -6, 1, 0, 6, -4, -6, -5, 0 ], [ 0, -1, 2, -2, 4, -2, -1, 4, 0, 6, -1, 0, -6, 4,\
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 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, \
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tstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 33, 20, 48, 68, 60, 46, 36, 26, 20, 6 ], [ 64, 41, 96, 136, 120, 92, 72, 52, 40, 12 ]\
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 [ 32, 20, 48, 68, 60, 47, 36, 26, 20, 6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 32, 20, 48, 68, 60, 46, 36, 27, 20, 6 ], [ -64, -40, -96, -136, -120, -92,\
 -72, -52, -39, -12 ], [ 64, 40, 96, 136, 120, 92, 72, 52, 40, 13 ] ], thegtilde := [ [ 1, 104, -50, 52, -106, 52, 0, 52, -24, 104, 52, 0, -104, -104, 0, \
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0, 8, -4, 4, -8, 4, 0, 4, -2, 8, 4, 1, -8, -8, 0, -12, 2, -10, 0, 0, -8, -10, -3, -10, 0, -13 ], [ 0, 8, -4, 4, -8, 4, 0, 4, -2, 8, 4, 2, -9, -8, 0, -12, \
2, -10, 0, -2, -8, -10, -4, -10, 0, -12 ], [ 0, -8, 4, -4, 8, -4, 0, -4, 2, -8, -2, 0, 8, 7, 0, 12, -2, 10, 0, 2, 8, 8, 2, 9, -1, 12 ], [ 0, 8, -4, 4, -8,\
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10, -12, -5, -12, -1, -15 ], [ 0, 8, -4, 4, -8, 4, 0, 4, -2, 8, 4, 0, -8, -8, 0, -12, 3, -10, 0, 0, -8, -10, -3, -11, 0, -13 ], [ 0, 16, -8, 8, -16, 8, 0,\
 8, -4, 16, 8, 0, -16, -16, 0, -24, 4, -19, 0, 0, -16, -20, -6, -20, 2, -26 ], [ 0, 8, -4, 4, -8, 4, 0, 4, -2, 8, 4, 0, -8, -8, 0, -12, 2, -10, 1, 0, -8, \
-10, -3, -11, 0, -13 ], [ 0, 8, -4, 4, -8, 4, 0, 4, -2, 8, 4, 0, -8, -8, 0, -12, 2, -10, 0, 1, -8, -10, -3, -10, 1, -13 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-20, -6, -20, 2, -25 ] ] ), rec( GramQ := [ [ -16, -55, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -55, -304, -70, -104, -95, 24, -24, -12, \
-36, -38, -7, -11, -22, -4, -12, 20, 0 ], [ -20, -70, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -104, -40, -60, -48, 12, 0, 0, -6, \
-6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -95, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 24, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, \
-2, -4, 0 ], [ 0, -24, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -12, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ \
-3, -36, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -38, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -7, 3, 6, 2\
, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -11, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -22, 0, 0, -4, 0, -8, -4, -8, \
-6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, -4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -12, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ],\
 [ 6, 20, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, 0, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 6,\
 2, 2, 0, -4, 0, 0 ], [ -8, -20, 14, 0, 4, 0, -8, 0, 0 ], [ 6, 14, -16, 2, -6, 0, 6, 2, -6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 2, 4, -6, 2, -8, 2, 2, 2, \
-6 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, -8, 6, 0, 2, 2, -8, 2, 0 ], [ 0, 0, 2, 0, 2, 0, 2, -4, 4 ], [ 0, 0, -6, 0, -6, 0, 0, 4, -12 ] ], Sigma := [ [ \
0, 1, -3, 1, -1, 1, 0, -1, 0, -3, 0, 0, 2, -4, -3, -3, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 6, -14, 2, 10, 2, 0, 12, 6, 1, -9, -12, 0, -19, 2, -9, 1, 0\
, -22, -18, -8, -21, 3, -20 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 2, 0, -12,\
 2, 0, 0, 0, -1, 0, 0, 0, 2, 0, 1, 0, 0, -4, 0, 0, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, \
0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [\
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0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0,\
 -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0, -1, -2 ], [ -1, 2, -1, 1, -1, 0, 0, 2, 2, -6, 2,\
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, 0, 2, -1, -2, 0, 0, -1, -2, 0, -1, 1, -4, 0, 0, 1, 0, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, \
0, -1, 0, 0, -1, 1, 2 ], [ 2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 2, 0, -2, -2, 0, -2, 2, -4, 0, 0, 0, 0, 0, -1, -2, -4 ] ], r := [ 12, 7, 18, 26, 22, 17, 12, 9,\
 6, 2 ], rlifts := [ [ 0, 4, -3, 1, -1, 0, 2, 0, -1, 2, 1, 0, -1, -2, 0, -3, 0, -1, 0, 0, -4, -3, -2, -3, 1, -4 ] ], rootsQ := [ [ 0, 1, -2, 1, -2, 0, 0, \
-1, -1, -3, 0, 0, 3, -4, -2, -3, 1 ], [ 0, -1, 2, -1, 2, 0, 0, 1, 1, 3, 0, 0, -3, 4, 2, 3, -1 ], [ 0, 1, -3, 1, -1, 1, 0, -1, 0, -3, 0, 0, 2, -4, -3, -3, \
1 ], [ 0, -1, 3, -1, 1, -1, 0, 1, 0, 3, 0, 0, -2, 4, 3, 3, -1 ], [ 0, 1, -1, 1, -3, 1, 0, -1, 0, -3, 0, 0, 3, -4, -3, -4, 1 ], [ 0, -1, 1, -1, 3, -1, 0, 1\
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, [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1\
, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, \
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-1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0\
, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0\
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, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 25, 14, 36, 52, 44, 34, 24, 18, 12, 4 ], [ 48, 29, 72, 104, 88, 68,\
 48, 36, 24, 8 ], [ -36, -21, -53, -78, -66, -51, -36, -27, -18, -6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -12, -7, -18, -26, -21, -17, -12, -9, -6, -2 ],\
 [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 24, 14, 36, 52, 44, 34, 25, 18, 12, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -12, -7, -18, -26, -22, -17, -12, -9, -5\
, -2 ], [ 24, 14, 36, 52, 44, 34, 24, 18, 12, 5 ] ], thegtilde := [ [ 1, 64, -30, 16, -34, 0, 32, 0, 2, 32, 16, 0, -16, -32, 0, -48, 0, -16, 0, 0, -64, -4\
8, -23, -57, 16, -55 ], [ 0, 45, -21, 11, -23, 0, 22, 0, 1, 22, 11, 0, -11, -22, -1, -34, 1, -11, 1, 2, -45, -34, -17, -41, 10, -39 ], [ 0, 80, -37, 20, -\
42, 0, 40, 0, 2, 40, 20, 0, -20, -40, 0, -60, 0, -20, 0, 0, -80, -60, -29, -71, 19, -69 ], [ 0, 128, -60, 33, -68, 0, 64, 0, 4, 64, 32, 0, -32, -64, 0, -9\
6, 0, -32, 0, 0, -128, -96, -46, -114, 32, -110 ], [ 0, 112, -52, 28, -59, 0, 56, 0, 4, 56, 28, 0, -28, -56, 0, -84, 0, -28, 0, 0, -112, -84, -40, -100, 2\
7, -96 ], [ 0, 92, -43, 23, -49, 1, 46, 0, 3, 46, 23, 0, -24, -46, -1, -70, 1, -23, 1, 1, -93, -69, -34, -83, 21, -79 ], [ 0, 56, -26, 14, -30, 0, 29, 0, \
2, 28, 14, 0, -14, -28, 0, -42, 0, -14, 0, 0, -56, -42, -20, -50, 13, -48 ], [ 0, 52, -25, 13, -27, 0, 26, 1, 1, 26, 13, 0, -14, -26, -1, -40, 1, -13, 1, \
1, -53, -39, -20, -47, 11, -45 ], [ 0, 24, -12, 6, -12, 0, 12, 0, 1, 12, 6, 0, -6, -12, 0, -18, 0, -6, 0, 0, -24, -18, -9, -22, 6, -21 ], [ 0, 16, -8, 4, \
-8, 0, 8, 0, 0, 9, 4, 0, -5, -8, 0, -13, 1, -4, 1, 0, -17, -12, -7, -16, 3, -14 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, -1, -2, -4, 0, -6, 0, -2, 0, 0, -8, -4, -2, -7, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2\
, 0, -2, -4, -1, -6, 0, -2, 0, 2, -8, -6, -3, -7, 2, -7 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, 0, -2, -4, 0, -7, 2, -2, 2, 2, -10, -8, -5, -9, 0, -9 ], [\
 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, 0, -2, -4, 0, -6, 1, -2, 0, 0, -8, -6, -3, -8, 1, -7 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, 0, -2, -4, 0, -6, 0, -1, \
0, 0, -8, -6, -3, -7, 2, -7 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, 0, -2, -4, 0, -6, 0, -2, 1, 0, -8, -6, -3, -8, 1, -7 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0,\
 4, 2, 0, -2, -4, 0, -6, 0, -2, 0, 1, -8, -6, -3, -7, 2, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
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7, 2, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0 ], [ 0, 8, -4, 2, -4, 0, 4, 0, 0, 4, 2, 0, -2, -4, 0, -6, 0, -2, 0, 0, -8, -6, -3, -7, 2, -6 ] ] ), rec( GramQ := [ [ -16, -107, -20,\
 -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -107, -1004, -142, -206, -187, 42, -46, -32, -58, -62, -5, -13, -30, 6, -24, 44, -8 ], [ -20, -142, -\
28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -206, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -187, -33, -48, -42,\
 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 42, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -46, -1, 0, -5, -2, -12, -8, -8, -6,\
 -5, -8, -8, 2, -6, 0, -2 ], [ 0, -32, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -58, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0\
, -4, 2, 0 ], [ -4, -62, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -5, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3\
, -13, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -30, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, \
2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -24, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 44, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -\
4, 0 ], [ 0, -8, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 10, -2, 14, -4, -4, -4, 8 ], [ -8, -20, 22, -8, 28, -8, \
-8, -8, 16 ], [ 10, 22, -32, 12, -38, 10, 10, 12, -26 ], [ -2, -8, 12, -8, 16, -4, -4, -4, 8 ], [ 14, 28, -38, 16, -56, 16, 14, 16, -34 ], [ -4, -8, 10, -\
4, 16, -8, -2, -4, 8 ], [ -4, -8, 10, -4, 14, -2, -8, -2, 8 ], [ -4, -8, 12, -4, 16, -4, -2, -8, 12 ], [ 8, 16, -26, 8, -34, 8, 8, 12, -28 ] ], Sigma := [\
 [ 0, 1, -3, 2, -4, 1, 0, -3, 0, -5, 1, 0, 5, -4, -4, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1\
, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 20, -9, 10, -26, 10, 10, 10, -4, 12, 6, 1, -17, -20, 0, -27, 6, \
-25, 1, 0, -22, -22, -4, -21, -1, -24 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 2, \
2, 2, -22, 2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 1, 0, 0, -4, 0, 0, -6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0,\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1\
, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0, -1, -2 ], [ -1, 2, -1, 1, -1, 0, 0, 2,\
 4, -10, 2, 0, 4, -2, 0, 3, 0, -2, 0, 0, 4, 4, -1, 1, 0, 2 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, -1, -1, 0, -2 ], [\
 0, 0, 0, 1, -3, 2, 0, 2, 5, -14, 0, 0, 5, -2, 0, 5, 1, -4, 0, 0, 7, 6, 1, 4, -1, 6 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3,\
 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, \
2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2, -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 18, 11, 26, 38\
, 34, 25, 18, 13, 10, 4 ], rlifts := [ [ 0, 4, -3, 2, -4, 2, 2, 2, -2, 2, 1, 0, -3, -4, 0, -5, 1, -5, 0, 0, -4, -4, -1, -3, 0, -5 ] ], rootsQ := [ [ 0, 1,\
 -2, 2, -5, 0, 0, -3, -1, -5, 1, 0, 6, -4, -3, -3, 0 ], [ 0, -1, 2, -2, 5, 0, 0, 3, 1, 5, -1, 0, -6, 4, 3, 3, 0 ], [ 0, 1, -3, 2, -4, 1, 0, -3, 0, -5, 1, \
0, 5, -4, -4, -3, 0 ], [ 0, -1, 3, -2, 4, -1, 0, 3, 0, 5, -1, 0, -5, 4, 4, 3, 0 ], [ 0, 1, -1, 2, -6, 1, 0, -3, 0, -5, 1, 0, 6, -4, -4, -4, 0 ], [ 0, -1, \
1, -2, 6, -1, 0, 3, 0, 5, -1, 0, -6, 4, 4, 4, 0 ], [ 0, 1, -2, 2, -5, 2, 0, -3, 1, -5, 1, 0, 5, -4, -5, -4, 0 ], [ 0, -1, 2, -2, 5, -2, 0, 3, -1, 5, -1, 0\
, -5, 4, 5, 4, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0\
, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, \
0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1,\
 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 37, 22, 52, 76, 68, 50, 36, 26, 20, 8 ], [ 72, 45\
, 104, 152, 136, 100, 72, 52, 40, 16 ], [ -54, -33, -77, -114, -102, -75, -54, -39, -30, -12 ], [ 36, 22, 52, 77, 68, 50, 36, 26, 20, 8 ], [ -90, -55, -13\
0, -190, -169, -125, -90, -65, -50, -20 ], [ 36, 22, 52, 76, 68, 51, 36, 26, 20, 8 ], [ 36, 22, 52, 76, 68, 50, 37, 26, 20, 8 ], [ 36, 22, 52, 76, 68, 50,\
 36, 27, 20, 8 ], [ -54, -33, -78, -114, -102, -75, -54, -39, -29, -12 ], [ 36, 22, 52, 76, 68, 50, 36, 26, 20, 9 ] ], thegtilde := [ [ 1, 104, -50, 52, -\
132, 52, 52, 52, -24, 52, 26, 0, -78, -104, 0, -130, 26, -130, 0, 0, -104, -104, -12, -92, 0, -116 ], [ 0, 69, -33, 34, -86, 34, 34, 34, -16, 34, 17, 0, -\
51, -68, -1, -86, 18, -85, 1, 2, -69, -69, -9, -62, -1, -77 ], [ 0, 128, -61, 64, -162, 64, 64, 64, -30, 64, 32, 0, -96, -128, 0, -160, 32, -160, 0, 0, -1\
28, -128, -15, -113, -1, -143 ], [ 0, 208, -100, 105, -264, 104, 104, 104, -48, 104, 52, 0, -156, -208, 0, -260, 52, -260, 0, 0, -208, -208, -24, -184, 0,\
 -232 ], [ 0, 176, -84, 88, -223, 88, 88, 88, -40, 88, 44, 0, -132, -176, 0, -220, 44, -220, 0, 0, -176, -176, -20, -156, -1, -196 ], [ 0, 140, -67, 70, -\
178, 71, 70, 70, -32, 70, 35, 0, -106, -140, -1, -176, 36, -175, 1, 1, -141, -140, -17, -125, -2, -156 ], [ 0, 88, -42, 44, -112, 44, 45, 44, -20, 44, 22,\
 0, -66, -88, 0, -110, 22, -110, 0, 0, -88, -88, -10, -78, -1, -98 ], [ 0, 84, -41, 42, -106, 42, 42, 43, -20, 42, 21, 0, -64, -84, -1, -106, 22, -105, 1,\
 1, -85, -84, -11, -75, -2, -94 ], [ 0, 40, -20, 20, -50, 20, 20, 20, -9, 20, 10, 0, -30, -40, 0, -50, 10, -50, 0, 0, -40, -40, -5, -36, 0, -45 ], [ 0, 32\
, -16, 16, -40, 16, 16, 16, -8, 17, 8, 0, -25, -32, 0, -41, 9, -40, 1, 0, -33, -32, -5, -30, -1, -36 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, -1, -6, -8, 0, -10, 2, -10, 0, 0, -8, -6, 0, -7, 0, -8 ], [ 0, 8, -4, 4, -10, 4, 4\
, 4, -2, 4, 2, 0, -7, -8, 0, -10, 2, -10, 0, -2, -8, -6, -1, -7, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 \
], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, 0, -6, -8, -1, -10, 2, -10, 0, 2, -8, -8, -1, -7, 0, -9 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, 0, -6, -8, 0, \
-11, 4, -10, 2, 2, -10, -10, -3, -9, -2, -11 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, 0, -6, -8, 0, -10, 3, -10, 0, 0, -8, -8, -1, -8, -1, -9 ], [ 0, 16,\
 -8, 8, -20, 8, 8, 8, -4, 8, 4, 0, -12, -16, 0, -20, 4, -19, 0, 0, -16, -16, -2, -14, 0, -18 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, 0, -6, -8, 0, -10, \
2, -10, 1, 0, -8, -8, -1, -8, -1, -9 ], [ 0, 8, -4, 4, -10, 4, 4, 4, -2, 4, 2, 0, -6, -8, 0, -10, 2, -10, 0, 1, -8, -8, -1, -7, 0, -9 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 16, -8, 8, -20, 8, 8, 8, -4, 8, 4, 0, -12, -16, 0, -20, 4, -20\
, 0, 0, -16, -16, -2, -14, 0, -17 ] ] ), rec( GramQ := [ [ -16, -90, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -90, -688, -120, -176, -157,\
 36, -34, -22, -47, -49, -1, -9, -24, 2, -18, 36, -4 ], [ -20, -120, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -176, -40, -60, -48,\
 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -157, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 36, 8, 12, 10, -8, -2, -2, 3, 2\
, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -34, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -22, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2,\
 -4, 0, -2 ], [ -3, -47, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -49, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], \
[ 2, -1, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -24, 0, 0, -4, \
0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -18, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, \
2, -4, 0, 0 ], [ 6, 36, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp :=\
 [ [ -8, -8, 4, 2, 12, -4, -4, 0, 2 ], [ -8, -20, 10, 0, 24, -8, -8, 0, 4 ], [ 4, 10, -8, 2, -12, 4, 4, 0, -2 ], [ 2, 0, 2, -4, 4, 0, 0, 0, 0 ], [ 12, 24,\
 -12, 4, -52, 16, 12, 0, -6 ], [ -4, -8, 4, 0, 16, -8, -2, 0, 2 ], [ -4, -8, 4, 0, 12, -2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 4, -2, 0, -6, \
2, 2, 2, -4 ] ], Sigma := [ [ 1, 1, -2, 1, -4, 1, -1, -1, -1, -3, 0, -1, 6, -3, -3, -3, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1\
, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0\
, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 4, 20, -9, 6, -22, 10, 10, 2, 0, 12, \
6, 1, -13, -16, 0, -23, 6, -17, 1, 0, -22, -22, -8, -23, 1, -20 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 4, 0, 0, 0, 2, 2, 0, -19, 2, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, -4, 0, 0, -3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1\
, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0, -1, -2 ], [ \
-2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 -1, 0, 0, 0 ], [ -2, 0, 0, 2, -4, 4, 0, 0, 4, -12, -2, 0, 4, -2, 0, 4, 0, -4, 0, 0, 6, 4, 2, 5, 0, 8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 2, 0, \
0, 0, 2, 0, 0, -3, 0, 1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -\
4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 0, 0, -1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, -1 ] ], r :\
= [ 14, 8, 20, 30, 26, 19, 14, 11, 8, 3 ], rlifts := [ [ 1, 4, -2, 1, -4, 2, 2, 0, 0, 2, 1, -1, -1, -3, -1, -3, 0, -3, -1, 1, -3, -3, 0, -3, 2, -3 ] ], ro\
otsQ := [ [ 1, 1, -2, 1, -4, 1, -1, -1, -1, -3, 0, -1, 6, -3, -3, -3, 2 ], [ -1, -1, 2, -1, 4, -1, 1, 1, 1, 3, 0, 1, -6, 3, 3, 3, -2 ], [ 1, 1, -2, 1, -4,\
 1, -1, -2, 0, -4, 1, 0, 5, -4, -3, -4, 1 ], [ -1, -1, 2, -1, 4, -1, 1, 2, 0, 4, -1, 0, -5, 4, 3, 4, -1 ], [ 1, 1, -2, 1, -4, 1, 1, -2, 0, -4, 1, 0, 4, -4\
, -5, -4, 0 ], [ -1, -1, 2, -1, 4, -1, -1, 2, 0, 4, -1, 0, -4, 4, 5, 4, 0 ], [ 1, 1, -2, 1, -4, 1, 1, -3, 1, -5, 2, 1, 3, -5, -5, -5, -1 ], [ -1, -1, 2, -\
1, 4, -1, -1, 3, -1, 5, -2, -1, -3, 5, 5, 5, 1 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -\
1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0,\
 -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 29, 16, 40, 60, 52,\
 38, 28, 22, 16, 6 ], [ 56, 33, 80, 120, 104, 76, 56, 44, 32, 12 ], [ -28, -16, -39, -60, -52, -38, -28, -22, -16, -6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],\
 [ -42, -24, -60, -90, -77, -57, -42, -33, -24, -9 ], [ 28, 16, 40, 60, 52, 39, 28, 22, 16, 6 ], [ 28, 16, 40, 60, 52, 38, 29, 22, 16, 6 ], [ 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0 ], [ -28, -16, -40, -60, -52, -38, -28, -22, -15, -6 ], [ 28, 16, 40, 60, 52, 38, 28, 22, 16, 7 ] ], thegtilde := [ [ 21, 80, -38, 20, -8\
2, 40, 40, 0, 2, 40, 20, 0, -40, -60, 0, -80, 20, -60, 0, 0, -80, -80, -29, -81, 10, -69 ], [ 14, 57, -27, 14, -57, 28, 28, 0, 1, 28, 15, 0, -28, -43, 0, \
-57, 15, -42, 1, 2, -57, -58, -22, -59, 6, -50 ], [ 26, 104, -49, 26, -106, 52, 52, 0, 2, 52, 26, 0, -52, -78, 0, -104, 26, -78, 0, 0, -104, -104, -38, -1\
05, 12, -90 ], [ 42, 168, -80, 43, -172, 84, 84, 0, 4, 84, 42, 0, -84, -126, 0, -168, 42, -126, 0, 0, -168, -168, -61, -170, 21, -145 ], [ 36, 144, -68, 3\
6, -147, 72, 72, 0, 4, 72, 36, 0, -72, -108, 0, -144, 36, -108, 0, 0, -144, -144, -52, -146, 17, -124 ], [ 29, 116, -55, 29, -119, 59, 58, 0, 3, 58, 30, 1\
, -59, -88, 0, -117, 30, -87, 1, 1, -117, -118, -44, -119, 12, -101 ], [ 18, 72, -34, 18, -74, 36, 37, 0, 2, 36, 18, 0, -36, -54, 0, -72, 18, -54, 0, 0, -\
72, -72, -26, -73, 8, -62 ], [ 17, 68, -33, 17, -69, 34, 34, 1, 1, 34, 18, 1, -35, -52, 0, -69, 18, -51, 1, 1, -69, -70, -27, -70, 6, -60 ], [ 8, 32, -16,\
 8, -32, 16, 16, 0, 1, 16, 8, 0, -16, -24, 0, -32, 8, -24, 0, 0, -32, -32, -12, -33, 4, -28 ], [ 5, 20, -10, 5, -20, 10, 10, 0, 0, 11, 5, 1, -11, -15, 0, \
-21, 6, -15, 1, 0, -21, -21, -9, -22, 1, -18 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 2, 8, -4, 2, -8, 4, 4\
, 0, 0, 4, 2, 1, -4, -6, 0, -8, 2, -6, 0, 0, -8, -8, -3, -8, 0, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, -1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -1, 0, -1 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, -1, -8, 2, -6, 0,\
 2, -8, -8, -3, -8, 1, -7 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -9, 4, -6, 2, 2, -10, -10, -5, -10, -1, -9 ], [ 2, 8, -4, 2, -8, 4, 4, 0, \
0, 4, 2, 0, -4, -6, 0, -8, 3, -6, 0, 0, -8, -8, -3, -9, 0, -7 ], [ 4, 16, -8, 4, -16, 8, 8, 0, 0, 8, 4, 0, -8, -12, 0, -16, 4, -11, 0, 0, -16, -16, -6, -1\
6, 2, -14 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 2, -6, 1, 0, -8, -8, -3, -9, 0, -7 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, \
0, -8, 2, -6, 0, 1, -8, -8, -3, -8, 1, -7 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 2, -6, 0, 0, -8, -8, -2, -8, 1, -7 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0 ], [ 2, 8, -4, 2, -8, 4, 4, 0, 0, 4, 2, 0, -4, -6, 0, -8, 2, -6, 0, 0, -8, -8, -3, -8, 1, -6 ] ] ), rec( GramQ := [ [ -16, -69, -20, -30, -24, 6, 0, 0,\
 -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -69, -436, -92, -134, -121, 30, -28, -18, -39, -41, -3, -9, -20, 0, -14, 28, -4 ], [ -20, -92, -28, -40, -33, 8, -1, -1,\
 -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -134, -40, -60, -48, 12, 0, 0, -6, -6, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -121, -33, -48, -42, 10, -5, -3, -9, -7, 2, \
1, -4, 0, -2, 10, -2 ], [ 6, 30, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -2, -4, 0 ], [ 0, -28, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -\
2 ], [ 0, -18, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -3, -39, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -41,\
 -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -3, 3, 6, 2, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -9, 3, 6, 1, -3, -8, -\
5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -20, 0, 0, -4, 0, -8, -4, -8, -6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, \
0, 0 ], [ 0, -14, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], [ 6, 28, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -4, -2, 0, -\
2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, -8, 4, 2, 4, 0, -4, -4, 8 ], [ -8, -20, 10, 0, 8, 0, -8, -8, 16 ], [ 4, 10, -8, 2, -4\
, 0, 4, 4, -8 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 8, -4, 2, -8, 2, 4, 4, -8 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, -8, 4, 0, 4, 2, -8, -2, 8 ], [ -4\
, -8, 4, 0, 4, 0, -2, -8, 12 ], [ 8, 16, -8, 0, -8, 0, 8, 12, -28 ] ], Sigma := [ [ 1, 1, -2, 1, -3, 1, 0, -2, 1, -4, 1, 0, 3, -4, -3, -3, 0 ], [ 0, 0, 0,\
 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, \
-1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1\
, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ],\
 adjweyl := [ 4, 20, -9, 6, -18, 2, 10, 10, -4, 12, 6, 1, -13, -16, 0, -23, 6, -17, 1, 0, -22, -18, -6, -21, -1, -26 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0\
, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 2, 2, -15, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -5 ], [ 0, 0, \
1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0 ] ], embQperp := [ [ 0, 0, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, -2, 1, 0, 0, 0, -2, -2, 0, -2, -1, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0,\
 -4, 2, 0, -2, 0, 0, 0, 0, -2, -2, 2, 0, -1, -2 ], [ -2, 2, -1, 1, 0, 0, 0, 0, 2, -4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 1 ], [ 2, 0, 0, -1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -2, 2, 0, 0, 1, -4, -1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 2, 1, 1, 2, 0, 3 \
], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, -1, 2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, -4, -2, 0, -4, 0, -2, 0, 0\
, 0, -3, -1, -1, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -3, -2, 0, -2, 1, 0 ], [ 2, 0, 0, 0, -2, 0, 0, 4, 2, -8, 2, 0, 2,\
 -2, 0, 2, 2, -4, 0, 0, 4, 4, 0, 1, -2, 0 ] ], r := [ 14, 8, 20, 30, 26, 20, 14, 10, 8, 3 ], rlifts := [ [ 1, 4, -2, 1, -3, 0, 2, 2, -1, 2, 1, 0, -2, -3, \
1, -4, 1, -3, 0, -1, -4, -3, -1, -3, 0, -5 ] ], rootsQ := [ [ 1, 1, -2, 1, -3, 1, 0, -2, 0, -4, 1, 0, 4, -4, -3, -3, 0 ], [ -1, -1, 2, -1, 3, -1, 0, 2, 0,\
 4, -1, 0, -4, 4, 3, 3, 0 ], [ 1, 1, -2, 1, -3, 1, 0, -2, 1, -4, 1, 0, 3, -4, -3, -3, 0 ], [ -1, -1, 2, -1, 3, -1, 0, 2, -1, 4, -1, 0, -3, 4, 3, 3, 0 ], [\
 1, 1, -2, 1, -3, 1, 0, -2, -1, -4, 1, 0, 5, -4, -3, -4, 0 ], [ -1, -1, 2, -1, 3, -1, 0, 2, 1, 4, -1, 0, -5, 4, 3, 4, 0 ], [ 1, 1, -2, 1, -3, 1, 0, -2, 0,\
 -4, 1, 0, 4, -4, -3, -4, 0 ], [ -1, -1, 2, -1, 3, -1, 0, 2, 0, 4, -1, 0, -4, 4, 3, 4, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, 1, 2, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1\
, -1, -1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1,\
 0, 0, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1\
", "A3" ], theg := [ [ 29, 16, 40, 60, 52, 40, 28, 20, 16, 6 ], [ 56, 33, 80, 120, 104, 80, 56, 40, 32, 12 ], [ -28, -16, -39, -60, -52, -40, -28, -20, -1\
6, -6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -28, -16, -40, -60, -51, -40, -28, -20, -16, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 28, 16, 40, 60, 52, 40\
, 29, 20, 16, 6 ], [ 28, 16, 40, 60, 52, 40, 28, 21, 16, 6 ], [ -42, -24, -60, -90, -78, -60, -42, -30, -23, -9 ], [ 28, 16, 40, 60, 52, 40, 28, 20, 16, 7\
 ] ], thegtilde := [ [ 21, 80, -38, 20, -62, 0, 40, 40, -18, 40, 20, 0, -40, -60, 0, -80, 20, -60, 0, 0, -80, -60, -19, -71, 0, -99 ], [ 14, 57, -27, 14, \
-43, 0, 28, 28, -13, 28, 15, 0, -28, -43, 0, -57, 15, -42, 1, 2, -57, -44, -15, -52, -1, -71 ], [ 26, 104, -49, 26, -80, 0, 52, 52, -24, 52, 26, 0, -52, -\
78, 0, -104, 26, -78, 0, 0, -104, -78, -25, -92, -1, -129 ], [ 42, 168, -80, 43, -130, 0, 84, 84, -38, 84, 42, 0, -84, -126, 0, -168, 42, -126, 0, 0, -168\
, -126, -40, -149, 0, -208 ], [ 36, 144, -68, 36, -111, 0, 72, 72, -32, 72, 36, 0, -72, -108, 0, -144, 36, -108, 0, 0, -144, -108, -34, -128, -1, -178 ], \
[ 30, 120, -57, 30, -93, 1, 60, 60, -27, 60, 31, 0, -61, -91, 0, -121, 31, -90, 1, 1, -121, -91, -30, -109, -2, -149 ], [ 18, 72, -34, 18, -56, 0, 37, 36,\
 -16, 36, 18, 0, -36, -54, 0, -72, 18, -54, 0, 0, -72, -54, -17, -64, -1, -89 ], [ 16, 64, -31, 16, -49, 0, 32, 33, -15, 32, 17, 0, -33, -49, 0, -65, 17, \
-48, 1, 1, -65, -49, -17, -59, -2, -80 ], [ 8, 32, -16, 8, -24, 0, 16, 16, -7, 16, 8, 0, -16, -24, 0, -32, 8, -24, 0, 0, -32, -24, -8, -28, 0, -40 ], [ 5,\
 20, -10, 5, -15, 0, 10, 10, -5, 11, 5, 0, -11, -15, 0, -21, 6, -15, 1, 0, -21, -15, -6, -19, -1, -25 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, -1, -4, -6, 0, -8, 2, -6, 0, 0, -8, -4, -1, -7, 0, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -2, -1, -2, 0, -1 ], [ 2, 8, -\
4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, -1, -8, 2, -6, 0, 2, -8, -6, -2, -8, 0, -10 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -9, 4, -6, 2, 2\
, -10, -8, -4, -10, -2, -12 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 3, -6, 0, 0, -8, -6, -2, -7, -1, -10 ], [ 4, 16, -8, 4, -12, 0, 8, \
8, -4, 8, 4, 0, -8, -12, 0, -16, 4, -11, 0, 0, -16, -12, -4, -14, 0, -20 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 2, -6, 1, 0, -8, -6, -\
2, -7, -1, -10 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 2, -6, 0, 1, -8, -6, -2, -7, 0, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2,\
 4, 2, 0, -4, -6, 0, -8, 2, -6, 0, 0, -8, -6, -1, -7, 0, -10 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 8, -4, 2, -6, 0, 4, 4, -2, 4, 2, 0, -4, -6, 0, -8, 2, -6, 0, 0, -8, -6, -2\
, -7, 0, -9 ] ] ), rec( GramQ := [ [ -16, -126, -20, -30, -24, 6, 0, 0, -3, -4, 2, 3, 0, 0, 0, 6, 0 ], [ -126, -1504, -164, -240, -219, 50, -60, -40, -76,\
 -84, -11, -21, -42, 6, -32, 50, -6 ], [ -20, -164, -28, -40, -33, 8, -1, -1, -4, -3, 3, 3, 0, 0, 0, 8, -2 ], [ -30, -240, -40, -60, -48, 12, 0, 0, -6, -6\
, 6, 6, 0, 0, 0, 12, 0 ], [ -24, -219, -33, -48, -42, 10, -5, -3, -9, -7, 2, 1, -4, 0, -2, 10, -2 ], [ 6, 50, 8, 12, 10, -8, -2, -2, 3, 2, -2, -3, 0, 2, -\
2, -4, 0 ], [ 0, -60, -1, 0, -5, -2, -12, -8, -8, -6, -5, -8, -8, 2, -6, 0, -2 ], [ 0, -40, -1, 0, -3, -2, -8, -8, -4, -2, -3, -5, -4, 2, -4, 0, -2 ], [ -\
3, -76, -4, -6, -9, 3, -8, -4, -10, -8, -3, -5, -8, 0, -4, 2, 0 ], [ -4, -84, -3, -6, -7, 2, -6, -2, -8, -12, -3, -3, -6, 2, -4, 2, 2 ], [ 2, -11, 3, 6, 2\
, -2, -5, -3, -3, -3, -6, -5, -4, 0, -2, -2, -2 ], [ 3, -21, 3, 6, 1, -3, -8, -5, -5, -3, -5, -8, -6, 0, -4, -2, -2 ], [ 0, -42, 0, 0, -4, 0, -8, -4, -8, \
-6, -4, -6, -8, 0, -4, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, -4, 2, 0, 0 ], [ 0, -32, 0, 0, -2, -2, -6, -4, -4, -4, -2, -4, -4, 2, -4, 0, 0 ], \
[ 6, 50, 8, 12, 10, -4, 0, 0, 2, 2, -2, -2, 0, 0, 0, -4, 0 ], [ 0, -6, -2, 0, -2, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -4 ] ], GramQperp := [ [ -12, -12, \
4, -6, 4, -8, -6, -12, 4 ], [ -12, -24, 16, -12, 8, -12, -10, -16, 6 ], [ 4, 16, -36, 8, -8, 4, 6, 0, -2 ], [ -6, -12, 8, -12, 6, -8, -6, -12, 4 ], [ 4, 8\
, -8, 6, -8, 6, 4, 4, -2 ], [ -8, -12, 4, -8, 6, -12, -4, -12, 4 ], [ -6, -10, 6, -6, 4, -4, -8, -8, 4 ], [ -12, -16, 0, -12, 4, -12, -8, -20, 6 ], [ 4, 6\
, -2, 4, -2, 4, 4, 6, -4 ] ], Sigma := [ [ 0, 1, -3, 2, -5, 2, 0, -4, 0, -7, 1, 0, 7, -6, -6, -6, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -2,\
 -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -1, 1, 1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0 ], [ \
0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ] ], adjweyl := [ 0, 28, -13, 10, -26, 10, 10\
, 10, -4, 20, 10, 1, -21, -24, 0, -35, 6, -25, 1, 0, -30, -30, -10, -31, 1, -34 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 2, 2, -26, 4, 0, 0, 0, -3, 0, 0, 0, 1, 0, 1, 0, 0, -6, 0, 0, -9 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -5, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
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 ], [ 2, 1, 3, 4, 4, 4, 3, 2, 1, 1 ] ] ], interiorpt := [ 12, 7, 15, 23, 21, 18, 14, 9, 7, 3 ], isomto := [ "96C", [ 1, 2, 3, 10, 11, 8, 7, 4, 5, 12, 9, 6\
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, 90, 89, 86, 87, 94, 95, 96 ] ], m4R := 2016, name := "96B", ogR := 521838526464, orderOL10D := 110592, projR := [ [ 1, 1/2, -1/2, 0, 0, 0, 0, 0, 1/2, -1\
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0, -1, 1/2 ] ], projS := [ [ 13/2, 9/2, 17/2, 25/2, 21/2, 17/2, 13/2, 5, 3, 3/2 ], [ 5, 3, 6, 9, 15/2, 6, 9/2, 7/2, 2, 1 ], [ 17/2, 11/2, 21/2, 16, 27/2, \
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0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeR := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1", "A1" ], volindex := 72, wallrecs := [ rec( GramQ := [ [ -136, 43, -44, -87, -12, 13, -5, 1, 1, 2, 2, -9, -12, -13, 10, 12, 10 \
], [ 43, -22, 13, 21, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -44, 13, -18, -29, -4, 0, -3, -1, -1, 2, 0, -3, -4, -5, 2, 2, 2 ], [ -87, 21, -29, -6\
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0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 10, -2, 2, 6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, -8, 8, 18, -8, -8, 0, 12, -4 ], [ -8, -\
8, 6, 8, -4, -4, 0, 6, -2 ], [ 8, 6, -8, -6, 4, 4, 0, -6, 2 ], [ 18, 8, -6, -20, 10, 8, 0, -12, 4 ], [ -8, -4, 4, 10, -8, -2, 0, 6, -2 ], [ -8, -4, 4, 8, \
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3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 8, 5, 9, 14, 13, 11, 8, 5, 4, 2 ], rlifts := [ [ -1\
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0 ], [ 4, 0, 0, -4, 0, 2, 2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1\
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-1, -11, -1, -9, -4, 7, 8, -2, -9, -8, -11, -5, -8, -1, -1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 \
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0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 3, -8, 0, 0\
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, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0,\
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[ 7, 4, 8, 12, 11, 10, 8, 5, 3, 1 ], rlifts := [ [ -1, 0, 1, 0, 1, -1, -1, 1, 0, 1, -1, 0, -2, 0, -1, -1, 1, 1, 0, -1, -1, -2, -1, -2, 0, 1 ] ], rootsQ :=\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
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] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -13, -8, -16, -24, -22, -20, \
-16, -10, -6, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 14, 8, 16, 25, 22, 20, 16, 10, 6, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0,\
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, 0, 0, 0, 1, 0 ], [ 7, 4, 8, 12, 11, 10, 8, 5, 3, 2 ] ], thegtilde := [ [ -8, -1, 8, 0, 7, -7, -5, 5, 2, 7, 1, 0, -14, 0, -11, -8, 8, 8, 1, -10, -8, -17,\
 -10, -7, -5, -4 ], [ -5, 0, 5, -1, 5, -4, -3, 3, 1, 4, 2, 0, -9, 0, -8, -6, 4, 5, 0, -8, -4, -11, -6, -3, -3, -4 ], [ -10, -1, 10, 0, 8, -8, -6, 6, 2, 8,\
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, 9, -9, -8, 8, 2, 10, 2, 0, -20, 0, -16, -11, 11, 11, 0, -16, -11, -23, -13, -9, -7, -7 ], [ -9, 0, 8, 1, 7, -8, -6, 7, 1, 8, 0, 0, -16, 0, -12, -8, 9, 8\
, 1, -11, -9, -18, -10, -9, -4, -3 ], [ -5, 0, 6, -1, 5, -5, -4, 5, 1, 5, 1, 0, -11, 0, -9, -6, 5, 6, -1, -9, -5, -12, -7, -5, -3, -4 ], [ -3, 0, 3, 0, 3,\
 -3, -3, 3, 1, 3, 3, 0, -7, 0, -7, -4, 3, 3, 0, -6, -3, -7, -4, -1, -2, -5 ], [ -1, 0, 1, 0, 1, -1, -1, 1, 0, 2, 1, 0, -3, 0, -2, -1, 1, 1, 0, -3, -1, -3,\
 -2, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0,\
 0, 0, 0, -1, 0, 0, 0, 2, 0, -2 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 3, -1, 2, -2, -1, 1, 1, 2, -2, 0, -4, 0, -2, -3, 0,\
 1, 0, -2, -1, -4, -3, -4, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 3, -1, -3 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, -3 ]\
 ] ), rec( GramQ := [ [ -24, -46, 10, -68, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -46, -112, 12, -154, -10, -7, -21, -5, 2, 6, -3, -8, -12, -14,\
 -1, 8, 6 ], [ 10, 12, -22, 20, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -68, -154, 20, -218, -14, -7, -29, -6, 4, 6, -3, -12, -18, -20, 1, 12, \
8 ], [ -5, -10, 3, -14, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -7, -11, -7, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -21, -6,\
 -29, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 2, 0, 4, -2, -2, 2, -2, -4, 0\
, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 6, 0, 6, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -3, -2, -3, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -8, \
2, -12, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -12, 2, -18, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -14, 2, -20, -2, -2, 0, -2, 0\
, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -1, -6, 1, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 8, -4, 12, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [\
 4, 6, -4, 8, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -6, -6, 2, -8 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, \
2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 2, 6, 6, -2, 8 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -6, 0, 0, 6, 2, -16, -10, 2, -18 ], [ -6, 0, 0, 6, 0, -10, -16, 4, \
-18 ], [ 2, 0, 0, -2, 0, 2, 4, -4, 2 ], [ -8, 0, 0, 8, 0, -18, -18, 2, -28 ] ], Sigma := [ [ -2, 0, 1, 1, 0, 0, -2, 0, -1, 1, 3, 1, 0, -2, -2, -2, 1 ], [ \
-1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0,\
 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ \
-13, -1, 6, 6, 1, -6, 0, 12, -10, 10, 1, -1, -11, -1, -7, 2, 11, 8, -2, -11, -12, -11, -5, -12, 5, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -1, -2, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 3 ], [ 0, 0, 1, -1, 0, 0, 1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 2, -1, -3, 5, -5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4 ], [ 0, 0\
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := \
[ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1\
, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, -\
1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, 0 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ -1, 0, 0, 1, 1\
, -4, 3, 1, 1, -6, 0, 0, 1, 0, -2, -1, 1, 0, 2, 4, -1, 0, 1, -1, 1, 4 ], [ -2, 0, 0, 2, -2, 2, -2, 2, 2, -6, 0, 0, 1, 0, -2, 0, 2, 0, -1, 2, -2, 3, 3, -2,\
 -1, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ -2, 0, 0, 2, -2, 0, 2, 2, 0, -8, 0, 0, 3, 0, -1, 1, 2, 0\
, 0, 4, -2, 3, 3, -2, 1, 5 ] ], r := [ 10, 6, 12, 18, 16, 14, 11, 7, 6, 2 ], rlifts := [ [ -2, 0, 1, 1, 0, -1, 0, 2, -2, 2, 0, 0, -2, 0, -1, 1, 3, 1, 0, -\
2, -2, -2, -1, -2, 1, 0 ] ], rootsQ := [ [ -2, 0, 1, 1, 0, 0, -2, 0, -1, 1, 3, 1, 0, -2, -2, -2, 1 ], [ 2, 0, -1, -1, 0, 0, 2, 0, 1, -1, -3, -1, 0, 2, 2, \
2, -1 ], [ -2, 0, 1, 1, 0, 0, -2, 0, -1, 0, 2, 1, 0, -2, -2, -2, 1 ], [ 2, 0, -1, -1, 0, 0, 2, 0, 1, 0, -2, -1, 0, 2, 2, 2, -1 ], [ -2, 0, 1, 1, 0, 0, -2,\
 0, -1, 1, 2, 1, 0, -2, -2, -2, 1 ], [ 2, 0, -1, -1, 0, 0, 2, 0, 1, -1, -2, -1, 0, 2, 2, 2, -1 ], [ -2, 0, 1, 1, 0, 0, -2, 0, -1, 0, 1, 1, 0, -2, -2, -2, \
1 ], [ 2, 0, -1, -1, 0, 0, 2, 0, 1, 0, -1, -1, 0, 2, 2, 2, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1,\
 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -\
1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0\
, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg :\
= [ [ -19, -12, -24, -36, -32, -28, -22, -14, -12, -4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 12, 24, 37, 32, 28, 22,\
 14, 12, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -10, -6, -12, -18, -16, -13, -11, -7, -6, -2 ], [ -10, -6, -12, -18, -16, -14, -10, -7, -6, -2 ], [ 30, \
18, 36, 54, 48, 42, 33, 22, 18, 6 ], [ -30, -18, -36, -54, -48, -42, -33, -21, -17, -6 ], [ 20, 12, 24, 36, 32, 28, 22, 14, 12, 5 ] ], thegtilde := [ [ -2\
5, -1, 13, 12, 0, -12, 2, 22, -22, 24, 0, 0, -24, 0, -12, 5, 25, 13, 1, -23, -25, -27, -15, -24, 10, 6 ], [ -17, 0, 9, 7, 1, -8, 1, 15, -15, 16, 0, 0, -17\
, 0, -9, 2, 16, 9, 0, -17, -16, -19, -10, -15, 6, 3 ], [ -30, -1, 16, 14, 0, -14, 2, 26, -26, 28, 0, 0, -29, 0, -15, 5, 29, 15, 1, -28, -29, -32, -18, -28\
, 11, 8 ], [ -50, -1, 27, 23, 0, -24, 4, 44, -44, 48, 0, 0, -49, 0, -25, 9, 49, 25, 2, -47, -49, -54, -30, -50, 21, 14 ], [ -41, 0, 22, 19, 0, -20, 3, 37,\
 -37, 40, 0, 0, -41, 0, -21, 7, 41, 22, 1, -40, -41, -46, -25, -39, 16, 9 ], [ -33, 0, 17, 16, -1, -15, 2, 30, -30, 32, 0, 0, -32, 0, -16, 7, 33, 17, 0, -\
32, -33, -35, -19, -31, 13, 7 ], [ -23, 0, 11, 12, -1, -11, 2, 21, -21, 22, 0, 0, -22, 0, -11, 5, 23, 11, 1, -21, -23, -24, -13, -23, 11, 7 ], [ -18, 0, 1\
0, 8, 0, -9, 1, 18, -17, 18, 0, 0, -19, 0, -10, 3, 18, 10, -1, -19, -18, -20, -11, -18, 8, 4 ], [ -12, 0, 6, 6, 0, -6, 0, 12, -11, 12, 0, 0, -13, 0, -7, 2\
, 12, 6, 0, -12, -12, -13, -7, -10, 4, 1 ], [ -4, 0, 2, 2, 0, -2, 0, 4, -4, 5, 0, 0, -5, 0, -2, 0, 4, 2, 0, -5, -4, -5, -3, -4, 2, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 ], [ -3\
, 0, 3, 0, 1, -2, 0, 4, -4, 4, 0, 0, -5, 0, -2, -1, 3, 3, -1, -5, -3, -5, -3, -5, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 2, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -8, 0, 5, 3, 0, -4, 1, 7, -7, 8, 0, 0, -8, 0, -4, 1, 6, 3, 0, -8, -7, -8, -5, -10, 5, 4 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 3, 0, -3, 0, -1, 2, 0, -4, 4, -4, 0, 0, 4, 0, 2, 0, -3, -3, 1, 5, 3, 5, \
2, 3, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, -41, 10, -63, \
-5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -41, -88, 30, -125, -10, 6, -6, -1, 0, 0, 2, -8, -10, -12, 8, 8, 6 ], [ 10, 30, -22, 38, 3, -11, -6, -3, \
0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -63, -125, 38, -184, -14, 6, -14, -2, 2, 0, 2, -12, -16, -18, 10, 12, 8 ], [ -5, -10, 3, -14, -4, 0, 0, -2, -2, 0, 0, -\
1, 0, -2, 0, 3, 2 ], [ 2, 6, -11, 6, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -6, -6, -14, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ],\
 [ -1, -1, -3, -2, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 0, 0, 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0\
, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 2, -2, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -8, 2, -12, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ],\
 [ -6, -10, 2, -16, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -12, 2, -18, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, 8, -6, 10, 0, -4, \
-2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 8, -4, 12, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, 6, -4, 8, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4\
 ] ], GramQperp := [ [ -20, 0, 8, 10, 0, 0, -8, 4, -4 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 8, 2, -8, -2, 0, 0, 4, -2, 2 ], [ 10, 0, -2, -8, 2, 0, 4, -2, 2\
 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -8, 0, 4, 4, 0, 2, -8, 4, -2 ], [ 4, 0, -2, -2, 0, 0, 4, -4, 2 ], [ -4, 0, 2, 2, 0, \
0, -2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, \
0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, \
1, 1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -2, 0, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0\
, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0\
, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, -1, 8, 4, 1, -2, -2, 6, -4, 2, 1, -1, -7, -1, -7, -2, 7, 6\
, -2, -7, -8, -7, -3, -8, -1, 5 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, 0, -3, \
3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, \
0, 0, 2, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 1, 1, 1, -3, 3, 0, -3, -1, 5, -4, 0, 0, -1, 0, -3, -5, -2, 1, -1, 0,\
 2, -1, 0, 3, -5, -3 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0\
, 1, 2, 2, 1, 0, -1, -2, -1, 1, -2, 3, -1 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 1, 2, 0, -2, 1, 0, 0, 1, 0, 0, 2, 2 ], [ 1, -1, 1, -1, -1, 2, \
-1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ],\
 [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, -1, 0, -2, -2, 0, 0, -1, 0, 0, 1, 1, 0, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0,\
 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 3, 6, 10, 9, 8, 7, 5, 4, 2 ], rli\
fts := [ [ -2, 0, 1, 1, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, -1, 0, 0, -1, 0, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 3, 0, -\
1, -1, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1, 1, 1 ], [ -3, 0, 1, 1, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, -1, -1, -1 ], [ 2, 0, -2, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0,\
 1, 2, 1, 1 ], [ -2, 0, 2, 1, 0, 0, -1, 0, -1, -1, 1, 1, 0, -1, -2, -1, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, \
-1 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 2, 0, -1, -1, 0, 0, 1, 0, 1, \
0, -1, 0, 0, 1, 0, 1, 0 ], [ -2, 0, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0 ], [ 1, 0, -2, -1, 0, 0, 2, 0, 1, 1, -1, 0, 0, 2, 1, 1, 0 ], [ -1, 0, \
2, 1, 0, 0, -2, 0, -1, -1, 1, 0, 0, -2, -1, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0,\
 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -11, -6, -12, -20, -18, -16, -14, -10, -8, -4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 6, 3, 7, 10, 9, 8, 7, 5, 4, 2 ], [ 6, 3, 6, 11, 9, 8, 7, 5, 4, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -3, -6, -1\
0, -9, -8, -6, -5, -4, -2 ], [ 6, 3, 6, 10, 9, 8, 7, 6, 4, 2 ], [ -6, -3, -6, -10, -9, -8, -7, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde\
 := [ [ -14, -1, 12, 2, 1, 0, -2, 2, -2, 0, 0, 0, -8, 0, -7, -5, 8, 4, 1, -7, -7, -10, -6, -7, -5, 6 ], [ -9, 0, 7, 1, 1, 0, -1, 1, -1, 0, 0, 0, -5, 0, -5\
, -4, 4, 3, 0, -5, -4, -7, -4, -3, -4, 3 ], [ -15, -1, 13, 2, 1, 0, -2, 2, -2, 0, 0, 0, -9, 0, -8, -6, 8, 4, 1, -8, -7, -11, -7, -7, -6, 7 ], [ -27, -1, 2\
3, 4, 1, 0, -3, 3, -3, 0, 0, 0, -15, 0, -14, -10, 14, 7, 2, -13, -13, -19, -12, -15, -9, 14 ], [ -22, 0, 19, 3, 1, 0, -3, 3, -3, 0, 0, 0, -13, 0, -12, -9,\
 12, 7, 1, -12, -11, -17, -10, -10, -9, 9 ], [ -18, 0, 15, 3, 0, 1, -3, 3, -3, 0, 0, 0, -10, 0, -9, -6, 10, 5, 0, -10, -9, -12, -7, -8, -7, 7 ], [ -14, 0,\
 11, 3, 0, 0, -2, 3, -3, 0, 0, 0, -8, 0, -7, -4, 8, 3, 1, -7, -7, -9, -5, -8, -3, 7 ], [ -12, 0, 10, 2, 0, 0, -2, 3, -2, 0, 0, 0, -7, 0, -7, -4, 6, 4, -1,\
 -7, -6, -8, -5, -6, -4, 5 ], [ -8, 0, 6, 2, 0, 0, -2, 2, -1, 0, 0, 0, -5, 0, -5, -3, 4, 2, 0, -4, -4, -5, -3, -2, -4, 2 ], [ -4, 0, 3, 1, 0, 0, -1, 1, -1\
, 1, 0, 0, -3, 0, -2, -1, 2, 1, 0, -3, -2, -3, -2, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 2, -1, -1, -1, -2, \
-2, -2, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 4, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, -1, -2, -2, -4, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0\
 ], [ 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -2, 1, 1, 1, 2, 1, 0, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -88, -37, -121, -123, 5, 14, 19, 6, -4, -2, 2, 8, 13, 14, 2, 0, 2 ], [ -37, -22, -67, -59, 4, 0, 8,\
 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -121, -67, -220, -190, 13, 1, 21, 4, -6, -2, 0, 14, 21, 22, -6, -10, -6 ], [ -123, -59, -190, -182, 10, 12, 27, 7, \
-6, -2, 2, 12, 19, 20, 0, -6, -2 ], [ 5, 4, 13, 10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 14, 0, 1, 12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4\
, -4, -4 ], [ 19, 8, 21, 27, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 6, 1, 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -4, -2, -6, -\
6, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 0, -2, -2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0,\
 -2, 0, 0 ], [ 8, 4, 14, 12, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 13, 6, 21, 19, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 14, 6, 22, 20,\
 -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, -4, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0, 0\
, 0, 0, -6, -4 ], [ 2, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 8, -8, 18, -8, 8, -8, 8, -4 ], [ 8, -8, 6, -8, 4, -\
4, 4, -4, 2 ], [ -8, 6, -8, 10, -4, 4, -4, 4, -2 ], [ 18, -8, 10, -20, 10, -8, 8, -8, 4 ], [ -8, 4, -4, 10, -8, 6, -4, 4, -2 ], [ 8, -4, 4, -8, 6, -8, 6, \
-4, 2 ], [ -8, 4, -4, 8, -4, 6, -8, 6, -2 ], [ 8, -4, 4, -8, 4, -4, 6, -8, 4 ], [ -4, 2, -2, 4, -2, 2, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -40, -19, -47, -57, 4, 13, 14, 6, 2, 1, 1, 3, 4, 6, 2, 0, 2 ], [ -19, -22, -49, -41, 4, 0\
, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -47, -49, -120, -98, 12, 0, 16, 4, 0, 1, -1, 9, 12, 14, -6, -10, -6 ], [ -57, -41, -98, -98, 9, 11, 22, 7, 0, 1\
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 ], [ 14, 8, 16, 22, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 6, 1, 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, \
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[ 3, 4, 9, 7, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 4, 6, 12, 10, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 6, 6, 14, 12, -2, -2, 0, -2, 0\
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 [ 2, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 8, -8, 18, 0, -8, 0, 8, -4 ], [ 8, -8, 6, -8, 0, 4, 0, -4, 2 ], [ -8\
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, -4, 2, 0 ], [ 8, -4, 4, -8, 0, 4, 2, -8, 4 ], [ -4, 2, -2, 4, 0, -2, 0, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], \
[ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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l := [ -9, 3, 2, 2, 5, -6, 0, 8, -2, -2, 1, -1, -7, -1, -9, -4, 7, 8, -2, -5, -8, -9, -1, -8, 1, 1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 1, -2, 1, 1, 0, 0, 0,\
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 [ [ -1, 1, 1, -1, 1, 0, -1, 1, -5, 8, 0, 0, -3, 0, 1, 1, 0, 1, -1, -6, 0, -3, -2, 1, 1, -3 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, \
0, 3, 0, 2, 0, 1, -2, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 5, -8, 0\
, 0, 2, 0, -2, -2, -1, -2, 1, 5, 1, 3, 2, 1, -2, 3 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0,\
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1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 3, -4, 0, 0, 2, 0, 0, -2, -1, 0, 1, 3, 1, 0, 0, 1, -2, 1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1,\
 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ] ], r := [ 6, 3, 7, 10, 9, 8, 6, 4, 3, 2 ], rlifts := [ [ -1, 1, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 1, -2, -1, 1, 1,\
 0, -1, -1, -2, 0, -1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, \
2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0,\
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 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0,\
 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 1, -1, 2, 2, 0, -1, 0, 1, 2, 1, 0 ], [ -1, 1, \
0, 0, 0, 0, -1, 1, -2, -2, 0, 1, 0, -1, -2, -1, 0 ], [ 1, -1, 0, 0, 0, 0, 1, -1, 2, 1, -1, -1, 0, 1, 2, 1, 0 ], [ -1, 1, 0, 0, 0, 0, -1, 1, -2, -1, 1, 1, \
0, -1, -2, -1, 0 ], [ 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 0, 0, 1, 1, 0 ], [ -1, 1, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 0, 0, -1, -1, 0 ], [ 1, -1, 0, 0,\
 0, 0, 1, 1, 1, 0, -2, -1, 0, 0, 1, 1, 0 ], [ -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 2, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg \
:= [ [ -11, -6, -14, -20, -18, -16, -12, -8, -6, -4 ], [ 6, 4, 7, 10, 9, 8, 6, 4, 3, 2 ], [ -6, -3, -6, -10, -9, -8, -6, -4, -3, -2 ], [ 12, 6, 14, 21, 18\
, 16, 12, 8, 6, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -3, -7, -10, -9, -7, -6, -4, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 3, 7, 10, 9, 8,\
 6, 5, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -6, -3, -7, -10, -9, -8, -6, -4, -3, -1 ] ], thegtilde := [ [ -7, 5, 1, 0, 6, -6, 2, 4, 2, -6, 0, 0, -6\
, 0, -9, -7, 7, 7, 1, -2, -7, -12, -3, -6, -2, 0 ], [ -4, 3, 1, -1, 4, -3, 1, 2, 1, -3, 0, 0, -4, -1, -5, -4, 4, 4, 0, -2, -3, -7, -2, -2, -2, -2 ], [ -9,\
 6, 2, 0, 7, -7, 2, 5, 2, -7, 0, 0, -8, -1, -11, -8, 9, 8, 1, -3, -8, -14, -4, -7, -3, 0 ], [ -14, 11, 3, -1, 12, -12, 4, 8, 4, -12, 0, 0, -13, 0, -19, -1\
5, 13, 13, 2, -5, -13, -24, -6, -14, -3, 2 ], [ -10, 9, 2, -1, 9, -9, 3, 6, 3, -9, 0, 0, -10, -1, -14, -11, 11, 11, 1, -4, -10, -19, -5, -8, -4, -2 ], [ -\
9, 8, 1, 0, 7, -7, 2, 6, 2, -8, 0, 0, -8, 0, -12, -9, 9, 9, 0, -4, -9, -15, -3, -7, -3, -1 ], [ -7, 6, 0, 1, 5, -6, 2, 5, 1, -6, 0, 0, -6, 0, -9, -6, 7, 6\
, 1, -2, -7, -11, -2, -7, 0, 1 ], [ -4, 4, 1, -1, 4, -4, 1, 4, 1, -4, 0, 0, -5, 0, -7, -5, 4, 5, -1, -3, -4, -8, -2, -4, -1, -1 ], [ -3, 3, 0, 0, 3, -3, 0\
, 3, 1, -3, 0, 0, -4, -1, -5, -3, 4, 3, 0, -1, -3, -5, -1, -1, -2, -3 ], [ -2, 2, 0, 0, 2, -2, 0, 2, 0, -1, 0, 0, -3, 0, -3, -2, 2, 2, 0, -2, -2, -4, -1, \
-2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 2, -1, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -2, 2, 1, -1, 2, -2, 1, 1, 1, -2, 0, 0, -2, 0, -3, -3, 0, 1, 0, -1,\
 -1, -3, -1, -4, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ\
 := [ [ -24, -22, 10, -44, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -22, -62, -2, -84, -3, -14, -13, -5, 0, 4, -2, -5, -8, -10, -2, -4, -2 ], [ 10\
, -2, -22, 6, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -44, -84, 6, -128, -7, -14, -21, -6, 2, 4, -2, -9, -14, -16, 0, 0, 0 ], [ -5, -3, 3, -7, \
-4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -14, -11, -14, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -13, -6, -21, 0, -4, -12, 0, 2\
, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 0, 0, 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 \
], [ 0, 4, 0, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -2, -2, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -5, 2, -9, -1, -1, 0, -1, \
0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -8, 2, -14, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -10, 2, -16, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0\
, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 0, 2, -4, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 8, -8, 34, -16, -8, -8, 24, -12 ], [ 8, -8, 6, -16, 8, 4, 4, -12, 6 ], [ -8, 6, -8, 18, -8, -4,\
 -4, 12, -6 ], [ 34, -16, 18, -68, 34, 16, 16, -48, 24 ], [ -16, 8, -8, 34, -20, -6, -8, 24, -12 ], [ -8, 4, -4, 16, -6, -8, -2, 12, -6 ], [ -8, 4, -4, 16\
, -8, -2, -8, 14, -6 ], [ 24, -12, 12, -48, 24, 12, 14, -40, 20 ], [ -12, 6, -6, 24, -12, -6, -6, 20, -12 ] ], Sigma := [ [ -1, 0, 1, 1, 0, 1, -3, 0, -2, \
0, 3, 1, 0, -3, -3, -4, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2,\
 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1,\
 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ] ], adjweyl := [ -11, -1, 6, 4, 3, -6, -2, 14, -8, 6, 1, -1, -11, -1, -9, 0, 13, 12, -4, -11, -14, -13, -5, -18, 5, 3 ], embQ := [ [ 1, 0, 0\
, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -1, -2, 4, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, \
0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 2, -1, -3, 5, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 5, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 3, -8, 0, 0, 1, 0, -3, -3, 0, 1, -1, 2, 0, 1, 2, 1, -3, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -\
2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 1, 1, 0, 2, -1, 0, 2, -1, 0, -1 ], [ -1, 0\
, 0, 1, -1, 0, 1, -1, -7, 16, 0, 0, -4, 0, 4, 4, -1, -2, 1, -7, 1, -3, -4, 1, 4, -3 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 3, -8, 0, 0, 3, 0, -1, -1, 0, 1, -2, \
3, 0, 3, 2, -1, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, \
0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -5, 12, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, \
1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 12, 7, 15, 22, 21, 18, 14, 9, 7, 3 ], rlifts := [ [ -1, 0, 1, 0, 1, -\
1, -1, 3, -2, 1, 0, 1, -3, 0, -2, 0, 3, 1, 0, -3, -2, -3, -1, -4, 1, 0 ] ], rootsQ := [ [ -2, 0, 1, 1, 0, 1, -2, 0, -2, 0, 3, 2, 0, -2, -4, -4, 0 ], [ 2, \
0, -1, -1, 0, -1, 2, 0, 2, 0, -3, -2, 0, 2, 4, 4, 0 ], [ -2, 0, 1, 1, 0, -1, -1, 0, -1, 0, 2, 3, -1, -1, -2, -3, 1 ], [ 2, 0, -1, -1, 0, 1, 1, 0, 1, 0, -2\
, -3, 1, 1, 2, 3, -1 ], [ -1, 0, 1, 1, 0, 1, -3, 0, -2, 0, 3, 1, 0, -3, -3, -4, 1 ], [ 1, 0, -1, -1, 0, -1, 3, 0, 2, 0, -3, -1, 0, 3, 3, 4, -1 ], [ -1, 0,\
 1, 1, 0, -1, -2, 0, -1, 0, 2, 2, -1, -2, -1, -3, 2 ], [ 1, 0, -1, -1, 0, 1, 2, 0, 1, 0, -2, -2, 1, 2, 1, 3, -2 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, \
0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0\
, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -23, -14, -30, -44, -42, -36, -28, -18, -14, -6 ], [ 12, 8, 15, 22, 21, 18, 14, 9, 7, 3 ], [ -12, \
-7, -14, -22, -21, -18, -14, -9, -7, -3 ], [ 48, 28, 60, 89, 84, 72, 56, 36, 28, 12 ], [ -24, -14, -30, -44, -41, -36, -28, -18, -14, -6 ], [ -12, -7, -15\
, -22, -21, -17, -14, -9, -7, -3 ], [ -12, -7, -15, -22, -21, -18, -13, -9, -7, -3 ], [ 36, 21, 45, 66, 63, 54, 42, 28, 21, 9 ], [ -24, -14, -30, -44, -42\
, -36, -28, -18, -13, -6 ], [ 12, 7, 15, 22, 21, 18, 14, 9, 7, 4 ] ], thegtilde := [ [ -23, -1, 16, 7, 8, -15, -6, 36, -21, 15, 0, -1, -30, 0, -22, -1, 38\
, 31, -7, -29, -38, -39, -17, -52, 14, 7 ], [ -16, 0, 11, 4, 6, -10, -4, 24, -14, 10, 0, 0, -21, 0, -16, -2, 25, 21, -5, -21, -25, -28, -12, -34, 8, 4 ], \
[ -29, -1, 20, 9, 9, -18, -7, 43, -25, 18, 0, 0, -37, 0, -28, -2, 46, 37, -8, -36, -46, -49, -22, -63, 15, 10 ], [ -43, -1, 31, 12, 15, -28, -11, 67, -39,\
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 [ -22, 0, 14, 8, 6, -14, -5, 34, -20, 14, 0, 0, -28, 0, -21, 0, 36, 28, -6, -27, -36, -37, -16, -50, 14, 8 ], [ -15, 0, 11, 4, 5, -10, -4, 25, -14, 10, 0\
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, -11, -30, 6, 3 ], [ -5, 0, 3, 2, 1, -3, -1, 7, -4, 4, 0, 1, -7, 0, -5, 0, 8, 6, -1, -7, -8, -10, -5, -11, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
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, 1, 1, -3, 2, -1, 0, 1, 1, 0, 1, -1, -3, -1, 0, 1, 3, 0, -1, 2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 0, 2, 1, 1, -2, -1, 5, -3, 2, 0, 0, -4, 0, -3, -1, 5, 4, -1, -\
4, -5, -5, -2, -5, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 2, -1, 1, -1, 0, 2, -1, 1, 0, -1, -2, 0, -1, -1, 0, 1, -1, -2, -1, -1, -1, -5, 3, 2 ], [ 0, 0,\
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, -1, 1 ], [ -6, 0, 4, 2, 2, -4, -2, 10, -6, 4, 0, 0, -8, 0, -6, 0, 10, 8, -2, -8, -10, -10, -4, -11, 2, 0 ], [ -3, 0, 2, 1, 1, -2, -1, 5, -3, 2, 0, 0, -4\
, 0, -3, 0, 5, 4, -1, -4, -5, -5, -2, -5, 0, 0 ], [ -3, 0, 2, 1, 1, -2, -1, 5, -3, 2, 0, 0, -4, 0, -3, 0, 5, 4, -1, -4, -5, -5, -2, -5, 1, -1 ] ] ), rec( \
GramQ := [ [ -188, -59, -257, -249, 14, 12, 31, 9, -2, -4, 4, 11, 16, 18, 2, -12, -6 ], [ -59, -22, -89, -81, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ],\
 [ -257, -89, -392, -352, 22, -1, 33, 7, -4, -4, 2, 17, 24, 26, -6, -22, -14 ], [ -249, -81, -352, -334, 19, 10, 39, 10, -4, -4, 4, 15, 22, 24, 0, -18, -1\
0 ], [ 14, 4, 22, 19, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 12, 0, -1, 10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 31, 8, 33, 39, \
0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 9, 1, 7, 10, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4, 0, 0, \
0, 2, 0, 0, 0, 0 ], [ -4, 0, -4, -4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 11, 4, 17, 15\
, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 16, 6, 24, 22, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 18, 6, 26, 24, -2, -2, 0, -2, 0, 0, 0, -2\
, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -12, -4, -22, -18, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -6, \
-2, -14, -10, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 8, 0, 10, 0, -8, 0, 16, -4 ], [ 8, -8, 2, -4, 0, 4, 0, -8, 2 ], [ 0, 2, \
-4, 2, 0, 0, 0, 0, 0 ], [ 10, -4, 2, -8, 2, 4, 0, -8, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, 4, 0, 4, 2, -8, 2, 8, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 \
], [ 16, -8, 0, -8, 0, 8, 2, -20, 6 ], [ -4, 2, 0, 2, 0, -2, 0, 6, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0,\
 -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -2, 1, 0, 1, 0, 1, -2, 0, -2,\
 0, 1, 0, 0, -2, -2, -1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -11,\
 3, 4, 2, 3, -6, 0, 12, -6, 6, 1, -1, -11, -1, -9, -2, 5, 6, -4, -11, -6, -9, -3, -6, 3, -1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 2, -4, 3, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, -5, 0, 0, -3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -4, 1, 4, -6, \
5, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -8, 0, 0, -6 ], [ 0, 0, 0, 2, -4, 1, 3, -5, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -7, 0, 0, -4 ], [ 0, 0\
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := \
[ [ -1, 1, 1, -1, 1, 0, -1, 1, 3, -8, 0, 0, 1, 0, -3, -3, 0, 1, -1, 2, 0, 1, 2, 1, -3, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, \
-1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, \
-1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, 0 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2\
, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1,\
 -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -3, 8, 0, 0, -1, 0, 3, 1, -1, 0, 1, -3, 1, -3, -3, 1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1\
, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 8, 4, 9, 14, 12, 10, 7, 4, 3, 1 ], rlifts := [ [ -2, 1, 0, 1, 0, -1, 0, 2, -1, 1, 0, 1, -2, 0, -2, 0, 1, 0, 0\
, -2, -1, -2, -1, -1, 0, 0 ] ], rootsQ := [ [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0,\
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, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -\
1 ], [ -2, 1, 0, 1, 0, -1, -1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 1 ], [ 2, -1, 0, -1, 0, 1, 1, 0, 1, 0, 0, -1, 1, 1, 0, 0, -1 ], [ -1, 1, 1, -1, 0, -1, -2, 0,\
 -1, -1, 0, 1, -1, -2, -1, 0, 1 ], [ 1, -1, -1, 1, 0, 1, 2, 0, 1, 1, 0, -1, 1, 2, 1, 0, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ \
0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 1, -1, -1, 1, 0, -1, 3, 0, 2, 1, -1, 0, 0, 3, 3, 1, 0 ], [ -1, 1, 1, -1, 0, 1, -3, 0, -2, -1, \
1, 0, 0, -3, -3, -1, 0 ], [ 2, -1, 0, -1, 0, -1, 2, 0, 2, 0, -1, 0, 0, 2, 2, 1, 0 ], [ -2, 1, 0, 1, 0, 1, -2, 0, -2, 0, 1, 0, 0, -2, -2, -1, 0 ], [ -1, 0,\
 -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 8, 4, 9, 14, 13, 11, 8, 6, 5, 2 ], rlifts := [ [ -1, 1, 1, 0, 0, -1\
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, -1, 0, -1, 0, 1, 0, 1, 0, -1, -1, 0, 2, 2, 1, -1 ], [ -2, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 1, 0, -2, -2, -1, 1 ], [ 2, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -\
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"A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -15, -8, -18, -28, -26, -22, -16, -12, -10, -4 ], [ 8, 5, 9, 14, 13, 11, 8, 6, 5, 2 ], [ 0, 0, 1, 0, 0, \
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, 3 ] ], thegtilde := [ [ -14, 4, 10, 0, 4, -9, 11, 7, -16, 9, 1, 0, -9, 0, -5, -1, 10, 10, 1, -13, -10, -21, -12, -13, 7, 8 ], [ -8, 3, 6, -1, 3, -5, 6, \
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24, -14, -15, 7, 11 ], [ -26, 7, 19, -1, 8, -16, 20, 12, -28, 16, 0, 0, -17, 0, -9, -3, 17, 17, 2, -23, -17, -38, -22, -26, 13, 18 ], [ -22, 7, 16, -1, 7,\
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1, 1, 1 ], [ -3, 1, 2, 0, 1, -2, 2, 2, -4, 2, 0, 0, -2, 0, -1, 0, 2, 2, 0, -3, -2, -4, -2, 0, 0, 0 ], [ -2, 0, 1, 0, 1, -1, 1, 1, -2, 1, -1, 0, -1, 0, 0, \
0, 1, 1, 0, -1, -1, -2, -1, 0, -1, 1 ], [ -1, 1, 1, 0, 0, -1, 1, 1, -2, 1, 1, 0, -1, 0, -1, 0, 1, 1, 0, -2, -1, -2, -1, 1, 0, -2 ] ] ), rec( GramQ := [ [ \
-236, 237, -327, -304, 13, 9, 25, 6, -2, -2, 0, 14, 20, 22, -6, -6, -3 ], [ 237, -240, 332, 307, -14, -7, -25, -6, 2, 2, 0, -14, -20, -22, 6, 8, 5 ], [ -3\
27, 332, -484, -429, 21, -4, 27, 4, -4, -2, -2, 20, 28, 30, -14, -16, -11 ], [ -304, 307, -429, -396, 18, 7, 33, 7, -4, -2, 0, 18, 26, 28, -8, -12, -7 ], \
[ 13, -14, 21, 18, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 9, -7, -4, 7, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 25, -25, 27, 33, 0,\
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, -2, -2, -4, 0, 0, 0 ], [ -6, 6, -14, -8, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -6, 8, -16, -12, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ \
-3, 5, -11, -7, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, -4, 0, -4, 6, -2 ], [ 0, -8, 2, 2, -8, 2, 0, 0, 0 ], [ 0, 2, -\
4, 2, 0, 0, 0, 0, 0 ], [ 6, 2, 2, -8, 8, 0, 4, -6, 2 ], [ -4, -8, 0, 8, -20, 4, -4, 6, -2 ], [ 0, 2, 0, 0, 4, -4, 2, 0, 0 ], [ -4, 0, 0, 4, -4, 2, -8, 8, \
-2 ], [ 6, 0, 0, -6, 6, 0, 8, -12, 4 ], [ -2, 0, 0, 2, -2, 0, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0,\
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, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, \
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15, 1, 6, 6, -1, -2, -4, 16, -6, 2, 1, -1, -11, -1, -11, 0, 11, 8, -6, -11, -12, -7, -1, -14, 3, 3 ], embQ := [ [ 1, 0, 0, 0, -2, 0, 4, -6, 4, 0, 0, 0, 0,\
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 [ [ 0, 1, 1, -2, 2, 0, -2, 0, 2, -2, 0, 0, -1, 0, -2, -3, -1, 1, -1, -1, 1, -1, 0, 2, -3, -2 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0,\
 1, -2, 0, 0, 2, -1, 0, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2,\
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, 0, -3, -2 ], [ -1, 0, 0, 1, -1, 0, 3, -1, -5, 4, 0, 0, 1, 0, 3, 3, 1, 0, 1, -1, -1, -1, -1, -1, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1,\
 -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 11, 6, 13, 20, 18, 15, 12, 7, 6, 3 ], rlifts := [ [ -2, 1, 1, 1, -1, 0, -1, 3, -1, 0, 0, 0, -2, 0, -2, 0, 2\
, 1, -1, -2, -2, -1, 0, -3, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1\
, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, 0, 0, 0, 0\
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 1, 2, 1, 3, -1 ], [ -3, 0, 1, 1, 0, 0, -2, 0, -2, 0, 2, 1, -1, -2, -1, -3, 1 ], [ 3, 0, -1, -1, 0, 0, 2, 0, 2, 0, -2, -1, 1, 2, 1, 3, -1 ], [ 3, 0, -1, -\
1, 0, 0, 2, 0, 2, 0, -2, -1, 1, 2, 1, 2, 0 ], [ -3, 0, 1, 1, 0, 0, -2, 0, -2, 0, 2, 1, -1, -2, -1, -2, 0 ], [ 2, -1, -1, -1, 0, 0, 2, 0, 2, 0, -2, -1, 1, \
2, 1, 2, 0 ], [ -2, 1, 1, 1, 0, 0, -2, 0, -2, 0, 2, 1, -1, -2, -1, -2, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, \
0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], \
[ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0\
, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, \
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, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
3" ], theg := [ [ -21, -12, -26, -40, -36, -30, -24, -14, -12, -6 ], [ 11, 7, 13, 20, 18, 15, 12, 7, 6, 3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 22, 12, 2\
6, 41, 36, 30, 24, 14, 12, 6 ], [ -11, -6, -13, -20, -17, -15, -12, -7, -6, -3 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -22, -12, -26, -40, -36, -30, -23, -\
14, -12, -6 ], [ 44, 24, 52, 80, 72, 60, 48, 29, 24, 12 ], [ -22, -12, -26, -40, -36, -30, -24, -14, -11, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegti\
lde := [ [ -36, 6, 15, 14, -7, 0, -12, 40, -12, 0, 0, 0, -28, 0, -28, -1, 29, 15, -13, -27, -29, -17, -3, -35, 5, 7 ], [ -24, 4, 10, 8, -3, 0, -8, 26, -8,\
 0, 0, 0, -19, 0, -19, -2, 18, 10, -9, -19, -18, -12, -2, -22, 3, 4 ], [ -43, 6, 18, 16, -7, 0, -14, 46, -14, 0, 0, 0, -33, 0, -33, -2, 33, 17, -15, -32, \
-33, -20, -4, -41, 6, 10 ], [ -67, 12, 29, 25, -13, 0, -22, 74, -22, 0, 0, 0, -53, 0, -53, -3, 53, 27, -24, -51, -53, -32, -6, -67, 10, 15 ], [ -60, 10, 2\
5, 22, -10, 0, -20, 66, -20, 0, 0, 0, -47, 0, -47, -3, 47, 25, -22, -46, -47, -29, -5, -58, 9, 12 ], [ -47, 8, 19, 18, -9, 1, -16, 52, -16, 0, 0, 0, -36, \
0, -36, -1, 37, 19, -18, -36, -37, -21, -3, -45, 7, 9 ], [ -31, 6, 12, 13, -7, 0, -10, 35, -11, 0, 0, 0, -24, 0, -24, 0, 25, 12, -11, -23, -25, -14, -2, -\
31, 6, 7 ], [ -23, 4, 10, 8, -4, 0, -8, 27, -8, 0, 0, 0, -19, 0, -19, -1, 18, 10, -10, -19, -18, -11, -2, -23, 4, 4 ], [ -19, 2, 7, 7, -2, 0, -7, 21, -6, \
0, 0, 0, -15, 0, -15, -1, 14, 7, -7, -14, -14, -8, -1, -17, 3, 3 ], [ -8, 1, 3, 3, -1, 0, -3, 9, -3, 1, 0, 0, -7, 0, -6, 0, 6, 3, -3, -7, -6, -4, -1, -8, \
2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -1, 1, 1, 1, 0, -1, 3, -1, 0, 0, -1, -2, 0, -2, 0, 2, 1, \
-1, -2, -2, -1, 0, -2, 1, 1 ], [ -2, 0, 2, -1, 1, 0, -1, 3, -1, 0, 0, 0, -3, 0, -2, -1, 1, 2, -2, -3, -1, -2, -1, -4, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, -1, 3, -1, 0, 0, 0, -2, 0, -2, -1, 2, 1, -1, -2, -2, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
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-1, 2, 1, -2, -4, -3, -2, -1, -6, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 4, -1, -3, 0, 0, 0, 2, -6, \
2, 0, 0, 0, 4, 0, 4, 1, -3, -3, 3, 5, 3, 3, 0, 4, 0, 0 ], [ -6, 0, 2, 2, 0, 0, -2, 6, -2, 0, 0, 0, -4, 0, -4, 0, 4, 2, -2, -4, -4, -2, 0, -3, 0, 0 ], [ -4\
, -1, 1, 1, 1, 0, -1, 3, -1, 0, 0, 0, -2, 0, -2, 0, 2, 1, -1, -2, -2, -1, 0, -2, 0, 1 ], [ -3, 0, 1, 1, 0, 0, -1, 3, -1, 0, 0, 0, -2, 0, -2, 0, 2, 1, -1, \
-2, -2, -1, 0, -1, 0, -1 ] ] ), rec( GramQ := [ [ -24, -61, 10, -83, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -61, -188, 34, -245, -13, 0, -15, -4\
, 2, 3, 0, -13, -18, -20, 7, 8, 6 ], [ 10, 34, -22, 42, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -83, -245, 42, -324, -17, 0, -23, -5, 4, 3, 0, \
-17, -24, -26, 9, 12, 8 ], [ -5, -13, 3, -17, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, 0, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, \
-4 ], [ -8, -15, -6, -23, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -4, -3, -5, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 2, 0, 4, \
-2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 3, 0, 3, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, \
0, 0 ], [ -4, -13, 2, -17, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -18, 2, -24, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -20, 2, -2\
6, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, 7, -6, 9, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 8, -4, 12, 3, -4, 2, 0, 0, 0, 0, 0, 0,\
 0, 0, -6, -4 ], [ 4, 6, -4, 8, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 8, 8, 18, -16, 0, -8, 16, -4 ], [ 8, -8, -2, -8, 8, 0,\
 4, -8, 2 ], [ 8, -2, -8, -6, 8, 0, 4, -8, 2 ], [ 18, -8, -6, -20, 18, 0, 8, -16, 4 ], [ -16, 8, 8, 18, -20, 2, -8, 16, -4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0\
 ], [ -8, 4, 4, 8, -8, 2, -8, 10, -2 ], [ 16, -8, -8, -16, 16, 0, 10, -20, 6 ], [ -4, 2, 2, 4, -4, 0, -2, 6, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, 0, 2, 1, 0, 0, -2, 1, -2, -1, 1, 1, -1, -3, -2, -2, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -\
1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, -1, 10, 2, 1, -2, -4, 12, -6, 6, 1, -1, -11, -1, -9, -2, 7, 8, -6, -13, -8, -9, -5, -12, 1, 3 ], embQ := [ [ 1\
, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, 0, -4, 5, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5,\
 0, 0, 3 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 2, 0, -5, 6, -5, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 7, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 3, -8, 0, 0, 1, 0, -3, -3, 0, 1, -1, 2, 0, 1, 2, 1, -3, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, \
-2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, -3 ], [ -1,\
 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 3, -8, 0, 0, 3, 0, -1, -1, 0, 1, -2,\
 3, 0, 3, 2, -1, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0\
, 0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -3, 8, 0, 0, -1, 0, 3, 1, -1, 0, 1, -3, 1, -3, -3, 1, 1, -2 ], [ -1, 0, 0,\
 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 10, 5, 11, 18, 17, 14, 11, 7, 5, 2 ], rlifts := [ [ -2, 0, 2, 0, 0, \
0, -1, 2, -1, 1, 0, 0, -2, 1, -2, -1, 1, 1, -1, -3, -1, -2, -1, -2, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, \
-1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, 0, 2, 1, 0, 0, -2, -1, -1, 0, 2, 1, -1, -2, -1, -2, 0 ], [\
 2, 0, -2, -1, 0, 0, 2, 1, 1, 0, -2, -1, 1, 2, 1, 2, 0 ], [ -2, 0, 2, 1, 0, 0, -2, -1, -1, 0, 1, 1, -1, -2, -1, -2, 0 ], [ 2, 0, -2, -1, 0, 0, 2, 1, 1, 0,\
 -1, -1, 1, 2, 1, 2, 0 ], [ -2, 0, 2, 1, 0, 0, -2, 1, -2, -1, 1, 1, -1, -3, -2, -2, 0 ], [ 2, 0, -2, -1, 0, 0, 2, -1, 2, 1, -1, -1, 1, 3, 2, 2, 0 ], [ -2,\
 0, 2, 1, 0, 0, -2, 1, -2, -1, 0, 1, -1, -3, -2, -2, 0 ], [ 2, 0, -2, -1, 0, 0, 2, -1, 2, 1, 0, -1, 1, 3, 2, 2, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, \
0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2,\
 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -19, -10, -22, -36, -34, -28, -22, -14, -10, -4 ], [ 10, 6, 11, 18, 17, 14, 11, 7, 5, 2 ], [ 10,\
 5, 12, 18, 17, 14, 11, 7, 5, 2 ], [ 20, 10, 22, 37, 34, 28, 22, 14, 10, 4 ], [ -20, -10, -22, -36, -33, -28, -22, -14, -10, -4 ], [ 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0 ], [ -10, -5, -11, -18, -17, -14, -10, -7, -5, -2 ], [ 20, 10, 22, 36, 34, 28, 22, 15, 10, 4 ], [ -10, -5, -11, -18, -17, -14, -11, -7, -4, -2 ], \
[ 10, 5, 11, 18, 17, 14, 11, 7, 5, 3 ] ], thegtilde := [ [ -25, -1, 25, 0, 0, 0, -10, 22, -10, 12, 0, 0, -24, 0, -18, -7, 13, 13, -11, -29, -13, -21, -15,\
 -24, -2, 6 ], [ -15, 0, 15, -1, 1, 0, -6, 13, -6, 7, 0, 0, -15, -1, -11, -5, 8, 8, -7, -18, -7, -13, -9, -13, -2, 2 ], [ -28, -1, 28, 0, 0, 0, -11, 24, -\
11, 13, 0, 0, -27, -1, -20, -8, 15, 14, -12, -32, -14, -23, -17, -26, -3, 7 ], [ -42, -1, 43, -1, 0, 0, -16, 36, -16, 20, 0, 0, -41, 0, -31, -13, 21, 21, \
-18, -49, -21, -36, -26, -42, -3, 12 ], [ -39, 0, 40, -1, 0, 0, -16, 35, -16, 19, 0, 0, -39, -1, -29, -12, 21, 21, -18, -47, -20, -34, -24, -37, -4, 8 ], \
[ -33, 0, 33, 0, -1, 1, -14, 30, -14, 16, 0, 0, -32, 0, -24, -9, 17, 17, -16, -40, -17, -27, -19, -31, -3, 7 ], [ -23, 0, 22, 1, -1, 0, -9, 21, -10, 11, 0\
, 0, -22, -1, -16, -5, 13, 11, -10, -26, -12, -18, -13, -23, 0, 6 ], [ -14, 0, 15, -1, 0, 0, -6, 14, -6, 7, 0, 0, -15, -1, -11, -4, 8, 8, -8, -18, -7, -12\
, -9, -14, -1, 2 ], [ -14, 0, 14, 0, 0, 0, -7, 14, -6, 7, 0, 0, -15, -1, -11, -4, 8, 7, -7, -17, -7, -11, -8, -12, -2, 1 ], [ -4, 0, 4, 0, 0, 0, -2, 4, -2\
, 3, 0, 0, -5, -2, -2, 0, 4, 2, -2, -5, -2, -3, -3, -4, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, \
0, 4, 0, 0, 0, -2, 4, -2, 2, 0, -1, -4, -2, -2, 0, 4, 2, -2, -4, -2, -2, -2, -2, -1, -1 ], [ 5, 0, -3, -2, 1, 0, 2, -4, 2, -2, 0, 0, 3, -2, 4, 1, -1, -1, \
1, 5, 3, 3, 1, 3, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 4, 0, 0, 0, -2, 4, -2, 2, 0, 0, -4, 2, -4, -3, 0, 2, -2, -6, -2, -4, -2, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0 ], [ 4, 0, -3, -1, 0, 0, 3, -5, 3, -2, 0, 0, 4, 0, 3, 0, -4, -3, 2, 5, 3, 3, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 2, 0, 0, 1\
, 0, 0, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ -8, 0, 8, 0, 0, 0, -4, 8, -4, 4, 0, 0, -8\
, 0, -6, -2, 4, 4, -4, -10, -4, -6, -4, -5, -2, 0 ], [ -4, 0, 4, 0, 0, 0, -2, 4, -2, 2, 0, 0, -4, 0, -3, -1, 2, 2, -2, -5, -2, -3, -2, -2, -2, 0 ], [ -4, \
0, 4, 0, 0, 0, -2, 4, -2, 2, 0, 0, -4, 0, -3, -1, 2, 2, -2, -5, -2, -3, -2, -2, -1, -1 ] ] ), rec( GramQ := [ [ -368, -82, -463, -452, 18, 19, 42, 12, -1,\
 -4, 4, 15, 21, 25, 0, -12, -6 ], [ -82, -22, -112, -104, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -463, -112, -624, -581, 26, 6, 44, 10, -3, -4, 2,\
 21, 29, 33, -8, -22, -14 ], [ -452, -104, -581, -560, 23, 17, 50, 13, -3, -4, 4, 19, 27, 31, -2, -18, -10 ], [ 18, 4, 26, 23, -4, 0, 0, -2, -2, 0, 0, -1,\
 0, -2, 0, 3, 2 ], [ 19, 0, 6, 17, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 42, 8, 44, 50, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 1\
2, 1, 10, 13, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -1, -2, -3, -3, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -4, 0, -4, -4, 0, 2, 2, 0,\
 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 15, 4, 21, 19, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ],\
 [ 21, 6, 29, 27, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 25, 6, 33, 31, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 0, -2, -8, -2, 0, -4, -2,\
 -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -12, -4, -22, -18, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -6, -2, -14, -10, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -4, -4 ] ], GramQperp := [ [ -20, 16, 0, 18, 0, -16, -8, 24, -12 ], [ 16, -20, 2, -16, 0, 16, 8, -24, 12 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 18, -16, 2,\
 -20, 2, 16, 8, -24, 12 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -16, 16, 0, 16, 2, -20, -6, 24, -12 ], [ -8, 8, 0, 8, 0, -6, -8, 14, -6 ], [ 24, -24, 0, -24,\
 0, 24, 14, -40, 20 ], [ -12, 12, 0, 12, 0, -12, -6, 20, -12 ] ], Sigma := [ [ -3, 1, 1, 1, 0, 0, -3, 0, -2, -1, 2, 1, 1, -2, -3, -3, 1 ], [ 0, 0, 0, 0, 0\
, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -17, 3, 6, 6\
, 5, -10, 0, 12, -6, 6, 1, -1, -15, -1, -13, -4, 11, 8, 0, -11, -12, -15, -5, -16, 5, 5 ], embQ := [ [ 1, 0, 0, 1, -5, 2, 4, -6, 5, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, -9, 0, 0, -3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -6, 2, 6, -8, 7, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -12, 0, 0, -6 ], [ 0, 0, 0, 2, -6, 2, 5, -7, 6, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -11, 0, 0, -4 ], [ 0, 0, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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[ -1, 1, 1, -1, 1, 0, -1, 1, 3, -8, 0, 0, 1, 0, -3, -3, 0, 1, -1, 2, 0, 1, 2, 1, -3, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -4, 8, 0, 0, -1, 0, 3, 3, 0, 0, 0, -\
3, 0, -1, -3, 1, 1, -1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0,\
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, 2, -4, 2, 0, 4, -8, 0, 0, 1, 0, -3, -3, 0, 0, 2, 5, 0, 0, 1, 0, -1, 3 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, \
-1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -5, 12, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1\
, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 12, 6, 14, 22, 20, 18, 14, 9, 7, 3 ], rlifts := [ [ -3, 1, 1, 1, 1, -2, 0, 2, -1, 1, 0, 0, -3, 0, -2, -1, \
2, 1, 1, -2, -2, -3, -1, -3, 1, 1 ] ], rootsQ := [ [ 3, -1, -1, -1, 0, 0, 3, 0, 3, 1, -2, -1, 0, 2, 3, 3, -1 ], [ -3, 1, 1, 1, 0, 0, -3, 0, -3, -1, 2, 1, \
0, -2, -3, -3, 1 ], [ 3, -1, -1, -1, 0, 0, 3, 0, 3, 1, -2, -2, 0, 2, 3, 3, -1 ], [ -3, 1, 1, 1, 0, 0, -3, 0, -3, -1, 2, 2, 0, -2, -3, -3, 1 ], [ 3, -1, -1\
, -1, 0, 0, 3, 0, 2, 1, -2, 0, -1, 2, 3, 3, -1 ], [ -3, 1, 1, 1, 0, 0, -3, 0, -2, -1, 2, 0, 1, -2, -3, -3, 1 ], [ 3, -1, -1, -1, 0, 0, 3, 0, 2, 1, -2, -1,\
 -1, 2, 3, 3, -1 ], [ -3, 1, 1, 1, 0, 0, -3, 0, -2, -1, 2, 1, 1, -2, -3, -3, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0,\
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1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1,\
 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1\
, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, \
1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A3" ], theg := [ [ -23, -12, -28, -44, -40, -36, -28, -18, -14, -6 ], [ 24, 13, 28, 44, 40, 36, 28, 18, 14, 6 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], \
[ 24, 12, 28, 45, 40, 36, 28, 18, 14, 6 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -24, -12, -28, -44, -40, -35, -28, -18, -14, -6 ], [ -12, -6, -14, -22, -20\
, -18, -13, -9, -7, -3 ], [ 36, 18, 42, 66, 60, 54, 42, 28, 21, 9 ], [ -24, -12, -28, -44, -40, -36, -28, -18, -13, -6 ], [ 12, 6, 14, 22, 20, 18, 14, 9, \
7, 4 ] ], thegtilde := [ [ -49, 15, 17, 16, 16, -32, 2, 30, -14, 16, 0, 0, -48, 0, -40, -17, 33, 17, 9, -31, -33, -51, -19, -48, 14, 16 ], [ -31, 10, 11, \
9, 11, -20, 1, 19, -9, 10, 0, 0, -31, 0, -26, -12, 20, 11, 5, -21, -20, -33, -12, -29, 8, 9 ], [ -56, 17, 20, 18, 18, -36, 2, 34, -16, 18, 0, 0, -55, 0, -\
46, -20, 37, 19, 10, -36, -37, -58, -22, -54, 15, 19 ], [ -86, 27, 31, 27, 28, -56, 4, 52, -24, 28, 0, 0, -85, 0, -71, -31, 57, 29, 16, -55, -57, -90, -34\
, -86, 25, 30 ], [ -79, 26, 28, 25, 26, -52, 3, 49, -23, 26, 0, 0, -79, 0, -66, -29, 53, 28, 14, -52, -53, -84, -31, -77, 22, 25 ], [ -67, 22, 23, 22, 21,\
 -43, 2, 42, -20, 22, 0, 0, -66, 0, -56, -23, 45, 25, 10, -44, -45, -69, -25, -65, 19, 21 ], [ -43, 14, 14, 15, 13, -28, 2, 27, -13, 14, 0, 0, -42, 0, -35\
, -14, 29, 14, 8, -27, -29, -44, -16, -43, 14, 15 ], [ -33, 11, 12, 10, 11, -22, 1, 22, -10, 11, 0, 0, -34, 0, -29, -12, 22, 13, 4, -23, -22, -35, -13, -3\
3, 10, 10 ], [ -27, 9, 9, 9, 9, -18, 0, 18, -8, 9, 0, 0, -28, 0, -23, -10, 18, 8, 5, -18, -18, -28, -10, -25, 7, 7 ], [ -9, 3, 3, 3, 3, -6, 0, 6, -3, 4, 0\
, 0, -10, 0, -8, -3, 6, 4, 1, -7, -6, -10, -4, -9, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, 2, 2, \
2, 2, -4, 0, 4, -2, 2, 0, -1, -6, 0, -5, -2, 4, 2, 1, -4, -4, -6, -2, -4, 1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -\
1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -6, 2, 2, 2, 2, -4, 0, 4, -2, 2, 0, 0, -6, 0, -5, -3, 4, 2, 1, -4, -4, -6, -2, -4, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, -2, 1, -1, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0 ], [ 5, -2, -3, 0, -3, 4, 0, -4, 2, -2, 0, 0, 6, 0, 5, 3, -3, -3, 0, 5, 3, 7, 2, 5, -1, -1 ], [ -12, 4, 4, 4, 4, -8, 0, 8, -4, 4, 0, 0, -12,\
 0, -10, -4, 8, 4, 2, -8, -8, -12, -4, -9, 2, 2 ], [ -6, 2, 2, 2, 2, -4, 0, 4, -2, 2, 0, 0, -6, 0, -5, -2, 4, 2, 1, -4, -4, -6, -2, -4, 0, 1 ], [ -6, 2, 2\
, 2, 2, -4, 0, 4, -2, 2, 0, 0, -6, 0, -5, -2, 4, 2, 1, -4, -4, -6, -2, -4, 1, 0 ] ] ), rec( GramQ := [ [ -20, 19, 8, -3, 0, -6, -1, 2, 0, 0, -4, -6, -6, 2\
, 2, 2, 0 ], [ 19, -20, -8, 2, 1, 7, 1, -2, -1, 0, 4, 6, 6, -2, -2, -1, -1 ], [ 8, -8, -30, -1, -13, -4, -3, 0, -6, -2, 2, 2, 2, -6, -8, -6, -6 ], [ -3, 2\
, -1, -4, -2, 2, -2, -2, -2, 0, -1, 0, -2, 0, -1, 0, -2 ], [ 0, 1, -13, -2, -12, -4, -4, -2, 0, -2, -1, 0, -2, -4, -4, -4, -2 ], [ -6, 7, -4, 2, -4, -12, \
0, 2, 4, -2, 0, -2, 0, -2, 2, 0, 2 ], [ -1, 1, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0, 0 ], [ 2, -2, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0,\
 0, 0 ], [ 0, -1, -6, -2, 0, 4, 0, 0, -8, 2, 0, 0, 0, 2, -4, -2, -4 ], [ 0, 0, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0 ], [ -4, 4, 2, -1, -1, 0,\
 -1, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0 ], [ -6, 6, 2, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0, 0 ], [ -6, 6, 2, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, \
0, 0 ], [ 2, -2, -6, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, -2, -8, -1, -4, 2, 0, 0, -4, 0, 0, 0, 0, 0, -6, -4, -4 ], [ 2, -1, -6, 0, -4, 0\
, 0, 0, -2, 0, 0, 0, 0, 0, -4, -4, -2 ], [ 0, -1, -6, -2, -2, 2, 0, 0, -4, 0, 0, 0, 0, 0, -4, -2, -4 ] ], GramQperp := [ [ -8, -4, 0, 4, 2, 0, 0, 0, 0 ], \
[ -4, -8, 2, 2, 2, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 2, 2, -4, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0\
, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, -1 ], [ 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
-2, 1, 1, 1, 0, 0, 1, 1, 0, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1 ], [ 1\
, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1 ], [ 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1\
, 1, 2, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ] ], adjweyl := [ -5, -1, 2, 2, 1, -2, 0, 4, -2, 2, 1, -1, -3, -1, -3, 0, 3, 4, -2, -3, -4, -3, -1, 0, -1, -1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, \
1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0 ], [ 0, 0, \
1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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erp := [ [ 0, 0, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, -3, 0, 0, 0, 0, -1, -1 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0\
, 1, -2, 0, 0, 2, -1, 0, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0\
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1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 2 ], [ 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, \
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], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0\
 ], [ -1, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
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1 ] ], thegtilde := [ [ -1, -1, 1, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, -3, -3, -1, -2, 1 ], [ -1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 0, 0, \
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0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
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1, 2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
-1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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2, 1, -14, 0, 7, 6, 3, 2, 2, 1, -1, -2, -2, 3, 0, 2 ], [ 2, -22, -28, -20, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 1, -28, -46, -29, 8, -6, 8, 1, 0\
, 2, -1, 5, 6, 6, -5, -10, -6 ], [ -14, -20, -29, -34, 5, 5, 14, 4, 0, 2, 1, 3, 4, 4, 1, -6, -2 ], [ 0, 4, 8, 5, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, \
2 ], [ 7, 0, -6, 5, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 6, 8, 8, 14, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 3, 1, 1, 4, -2, -4\
, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, 0, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, \
0 ], [ 1, 0, -1, 1, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -1, 4, 5, 3, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -2, 6, 6, 4, 0, 0, -2, 0\
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 ], [ 0, -4, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 2, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, -4, \
0, 10, -4, 0, 0, 0, -2 ], [ -4, -8, 2, 8, -4, 0, 0, 0, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 8, 2, -20, 10, 0, 0, 0, 4 ], [ -4, -4, 0, 10, -8, 2, 0,\
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[ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
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 -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, -1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, -5, 6, 2, 1, -2, 0, 4, -6, 6, 1, -1, -3, -1, -1, 2, 7, 8, -2, -5, -8, -7, -5, -8, 1, 3 ]\
, embQ := [ [ 1, 0, 0, 1, -1, 0, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -2, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -3, 0, 0, -2 ], [ 0, 0, 0, 2, -2, 0, 0, 0, -1, 1, 0,\
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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -\
3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 1, -2, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, \
-1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 1, -4, 0, 0, 2, 0,\
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, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 0\
 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 4, 3, 5, 7, 7, 6, 5, 4, 3, 1 ], rlifts := [ [ 0, -1, \
1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, -1, -1, -1, 0, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ]\
, [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -3, -3, -5, -7, -7, -6, -5, -4, -3, -1 ], [ -4, -2, -5, -7, -7, -6, -5, -4, -3, -1 ], [ 0, 0, 1, 0, 0, 0, \
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 ], [ -1, -6, 7, 0, -1, 1, 2, -2, -4, 6, 0, 0, 0, 0, 3, 2, 7, 7, 0, -3, -7, -9, -9, -5, -3, 2 ], [ -1, -5, 5, 1, -1, 0, 2, -1, -4, 5, 0, 0, 0, -1, 3, 3, 6\
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 -3, -4, 1, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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9, -2, -5, -7, -1, 2, 2, 0, -5, -8, -8, 2, -2, -2 ], [ -97, 27, -39, -68, -5, 6, -1, 2, 2, 2, 2, -7, -10, -10, 8, 2, 2 ], [ -10, 4, -2, -5, -4, 0, 0, -2, \
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 2, 0 ], [ 1, 1, -1, 2, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 4, -2, 2, 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, 0, 2, 2, 0, 2, 2\
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-4, -4 ] ], GramQperp := [ [ -8, -4, 4, 6, -4, 4, -8, 8, -2 ], [ -4, -8, 6, 4, -4, 4, -8, 8, -2 ], [ 4, 6, -8, -2, 4, -4, 8, -8, 2 ], [ 6, 4, -2, -8, 6, -\
4, 8, -8, 2 ], [ -4, -4, 4, 6, -8, 6, -8, 8, -2 ], [ 4, 4, -4, -4, 6, -8, 10, -8, 2 ], [ -8, -8, 8, 8, -8, 10, -20, 18, -4 ], [ 8, 8, -8, -8, 8, -8, 18, -\
20, 6 ], [ -2, -2, 2, 2, -2, 2, -4, 6, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, -2, 0, -1, 0, 2, 0, 0, -2, -2, -2, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0\
 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -5, 8, 4, -3, 2, -6, 10, -\
4, 6, 1, -1, -7, -1, -5, 2, 7, 6, -6, -9, -8, -3, -3, -8, -1, 1 ], embQ := [ [ 1, 0, 0, 1, -1, 1, -4, 4, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, \
0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -2, 1, -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 2, -2, 1, -3, 3, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 1, -2, 2 ], [ 1, 2, -3,\
 0, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0,\
 -1, 1, 1, 0 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 1, -4, 0, 0, 2, 0, 0, 0, 0, 1, -2, 1, 0, 2, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, -2, 0, 0\
, 0, 0, 0, 2, -1, 0, -3, -2, 0, 2, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 5, -8, 0, 0, 1, 0, -3, -2, 1, 0, -1, 3, -1, 3, 3, -1, -3, 1 ], [ 1, 0, 0, -1, 1, 0, 1\
, -3, -3, 8, 0, 0, -1, 0, 3, 1, -1, 0, 1, -3, 1, -3, -3, 1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 \
] ], r := [ 6, 4, 7, 11, 10, 8, 7, 4, 3, 1 ], rlifts := [ [ -1, -1, 2, 0, -1, 1, -1, 1, 0, 1, 0, 1, -2, 0, -1, 0, 2, 0, 0, -2, -1, -2, -2, -2, -1, 0 ] ], \
rootsQ := [ [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 1, -1, -1, 0, -1, 1, 0, 1, -1, -1, 0, 1, 2, 0, 1, 1 ], [ -1, -1, 1, 1, 0, 1, -1, 0, -1, 1, 1, 0, -1, -\
2, 0, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 1, 1, -2, 0, 0, \
-1, 2, 0, 1, 0, -2, 0, 0, 2, 2, 2, 1 ], [ -1, -1, 2, 0, 0, 1, -2, 0, -1, 0, 2, 0, 0, -2, -2, -2, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, \
-1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 1, -1, -1, 0, 1, 0, 0, 0, -1, 0, -1, 2, 1, -2, 0, 0 ], [ -1, -1, 1, 1, 0, -1, 0, 0\
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, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -4, -7, -11, -10, \
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], [ -6, -4, -7, -11, -10, -8, -7, -4, -2, -1 ], [ 6, 4, 7, 11, 10, 8, 7, 4, 3, 2 ] ], thegtilde := [ [ -8, -8, 11, 4, -7, 7, -9, 9, -2, 7, 0, 1, -7, 0, -\
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 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -30, 26, 32, -13, -5, 13, 1, 2, 2, -1, 1, -2, -2, -2, 4, 10, 8 ], [ 26, -24, -28, 11, 4, -11, -1, -2, -2, 1, -1,\
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4 ], [ -5, 4, 3, 0, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 13, -11, -22, 11, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 1, -1, -15, 9,\
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, 2, 0, 0, 0, 0 ], [ -1, 1, 1, -1, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 1, -1, -3, 1, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -2, 2, 0, 2, \
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, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, -4, 4, -4, 2, -6, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 4, -4, 2, -\
6, 2, 0 ], [ 4, 0, 4, -8, 4, 0, 0, -2, 0 ], [ -4, 0, -4, 4, -8, 4, -6, 2, 0 ], [ 2, 0, 2, 0, 4, -4, 4, 0, 0 ], [ -6, 0, -6, 0, -6, 4, -12, 2, 0 ], [ 2, 0,\
 2, -2, 2, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0\
, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0,\
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, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
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, -4, 12, -2, 2, 1, -1, -7, -1, -7, 0, 7, 8, -6, -7, -8, -5, -1, -8, 1, -3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, 0, 1, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -3 ], [ 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0\
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[ 1, 2, -3, 0, 1, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, -1, 1, -1, -1, -3 ], [ -2, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 1, 0, -2, 0,\
 0, 0, 2, 1, 0, 1, 1 ], [ 1, -1, 1, -1, -1, 4, -3, -1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, -2, -1, 0, 1, 0, -1, -2, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0,\
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0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0\
, -1, 1 ] ], r := [ 6, 4, 8, 11, 10, 8, 6, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, -1, 0, 0, -1, 0, -1 ]\
 ], rootsQ := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 1, 0, 0, -1, 0, \
0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-1, -1, -1, -1, 0 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -2, -1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 2, 1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 1, \
0, 0, 1, 0, 1, 0, 0, -1, 1, 1, 0, 1, 0 ], [ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1, -1, -1, 0, -1, 0 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, -1, 1, 1, 0, 1,\
 0 ], [ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -\
1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
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, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]\
, rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -4, -8, -11, -10, -8, -6, -3\
, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -10, -8, -6, -3, -2, -1 ], [ 12, 8, 16, 23, 20, 16, 12, 6, 4, 2 ], [ -6, -4, -8, -11, -9,\
 -8, -6, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -11, -10, -8, -5, -3, -2, -1 ], [ 12, 8, 16, 22, 20, 16, 12, 7, 4, 2 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, -1, 1, 0, 0, 0, -4, 10, 2, 0, 0, 0, -6, 0, -6, -1, 7, 7, -5, -5, -7, -6, -\
3, -6, -2, -6 ], [ -1, 0, 1, -1, 1, 0, -3, 7, 1, 0, 0, 0, -5, 0, -5, -2, 4, 5, -4, -5, -4, -5, -2, -3, -2, -5 ], [ -2, -1, 2, 0, 0, 0, -6, 14, 2, 0, 0, 0,\
 -9, 0, -9, -2, 9, 9, -7, -8, -9, -8, -4, -8, -3, -7 ], [ -2, -1, 3, -1, 0, 0, -9, 22, 4, 0, 0, 0, -14, 0, -14, -3, 15, 14, -11, -12, -14, -13, -6, -15, -\
3, -11 ], [ -1, 0, 2, -1, 0, 0, -7, 17, 3, 0, 0, 0, -11, 0, -11, -3, 11, 12, -9, -10, -11, -11, -5, -9, -4, -11 ], [ -1, 0, 1, 0, -1, 1, -6, 14, 2, 0, 0, \
0, -8, 0, -8, -1, 9, 9, -8, -8, -9, -7, -3, -7, -3, -9 ], [ -1, 0, 0, 1, -1, 0, -4, 11, 1, 0, 0, 0, -6, 0, -6, 0, 7, 6, -5, -5, -7, -5, -2, -7, 0, -5 ], [\
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2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, 14, 2, -8, -5, 2, -8, -1, 2, 0\
, 0, -4, -6, -6, 2, 6, 4 ], [ 14, -18, -9, -4, 4, -2, 6, 1, 0, 2, 0, 2, 2, 2, -2, -6, -2 ], [ 2, -9, -28, -9, 3, -13, -8, -3, 2, 2, -2, 0, -2, -2, -6, -6,\
 -4 ], [ -8, -4, -9, -12, 0, -2, -2, 0, 2, 2, 0, -2, -4, -4, 0, -2, 0 ], [ -5, 4, 3, 0, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -2, -13, -2, 0,\
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, -1, 0, -2, -2, 0, 0 ], [ 2, 0, 2, 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 2, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0,\
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4, -2, 0, 0, 0 ], [ -6, 2, -2, -4, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -6, -\
6, -2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -12, 0, -8, 8, -12, 2, 0\
, 2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -8, 2, -12, 8, -12, 2, 0, 2, -2 ], [ 8, 0, 8, -8, 8, 0, 0, -2, 2 ], [ -12, 0, -12, 8, -20, 4, 0, 2, -2 ], [ 2\
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1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -2, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -1, 2, 4, -1, -2, 2, 10, -8, 2, 1, -1, -3, -1, -3, 4, 9, 8, -4, -5, -10, -5, -1, -10, 5, 3 ], embQ :=\
 [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2\
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, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 1, 0, 2, -3, 1, 2, -3, 1, 1, -2, 0, 0, 0, 0, -1, -2, -1, 2, -3, -2, 1, 0, 0, 1, -3, -2 ], [ 1, -3, 2, 0, -1\
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-3 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 1, 2, 0, -2, 1, 0, 0, 1, 0, 0, 2, 2 ], [ 3, -2, 2, -3, -1, 4, -3, 1, 1, -2, 0, 0, 2, 0, 1, 0, -1, 2, \
-4, -1, 1, 2, 0, -1, -2, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, \
0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 4, 8, 11, 10, 8, 6, 4, 4, 2 ], rlifts := [ [ -1, 0, 0, 1, -1, 0, 1\
, 1, -1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -2, -1, -1, -2, 1, 1 ] ], rootsQ := [ [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -2, -1, 0, 1, 2, 2, -1 ], [ 0, 0, 1, 0, 0\
, 0, -1, 0, 0, 0, 2, 1, 0, -1, -2, -2, 1 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 2, -1 ], [ -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -\
2, 1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, 1, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, -1, 1 ], [ 1, 0, 1, -2, 0, 0, -1, 0, \
0, -2, -1, -1, 1, 0, -1, 1, -1 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 2, 1, 1, -1, 0, 1, -1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1\
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1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0\
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0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ \
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0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
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 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A3" ], theg := [ [ -5, -4, -8, -11, -10, -8, -6, -4, -4, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -10, -8, -6, -4, -4, \
-2 ], [ 12, 8, 16, 23, 20, 16, 12, 8, 8, 4 ], [ -6, -4, -8, -11, -9, -8, -6, -4, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0 ], [ 12, 8, 16, 22, 20, 16, 12, 9, 8, 4 ], [ -12, -8, -16, -22, -20, -16, -12, -8, -7, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -5, -1\
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0, -20, 0, 0, 0, 2, 0, -1, 15, 22, 16, -7, -5, -25, -9, -3, -23, 12, 11 ], [ -8, 0, 0, 8, -7, 0, 8, 16, -16, 0, 0, 0, 1, 0, -1, 11, 18, 14, -6, -5, -20, -\
9, -3, -16, 8, 6 ], [ -6, 0, 0, 6, -6, 1, 6, 12, -12, 0, 0, 0, 1, 0, 0, 9, 14, 10, -5, -4, -15, -6, -2, -12, 6, 4 ], [ -4, 0, 0, 4, -4, 0, 5, 8, -8, 0, 0,\
 0, 0, 0, 0, 6, 10, 6, -2, -2, -10, -5, -2, -10, 6, 4 ], [ -3, 0, 0, 3, -3, 0, 3, 8, -7, 0, 0, 0, 0, 0, -1, 5, 7, 6, -4, -3, -8, -3, -1, -7, 4, 2 ], [ -2,\
 0, 0, 2, -2, 0, 2, 6, -5, 0, 0, 0, -1, 0, -1, 3, 6, 4, -2, -2, -6, -3, -1, -4, 2, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 3, -3, 1, 0, 0, -1, 0, 0, 2, 3, 2, -1, -2\
, -3, -2, -1, -3, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 2, -2, -1, -1, 0, 0, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 2, -2, 0, 2, 4, -4, 0, 0, 0, 1, 0, 0, 3, 2, 2, -\
2, -1, -4, 0, 0, -6, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -1,\
 0, 0, -1, 0, -2, 2, 1, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( Gr\
amQ := [ [ -56, 83, 28, 29, -5, 13, 2, 3, 3, -4, 4, -6, -8, -7, 10, 6, 4 ], [ 83, -138, -44, -55, 4, -22, -12, -7, -4, 8, -8, 8, 10, 8, -18, -4, -2 ], [ 2\
8, -44, -22, -18, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ 29, -55, -18, -26, 0, -11, -10, -4, -1, 4, -4, 2, 2, 1, -8, 0, 0 ], [ -5, 4, 3, 0, -4\
, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 13, -22, -11, -11, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 2, -12, -6, -10, 0, -4, -12, 0, 2, \
2, -2, 0, -2, 0, -2, 2, 0 ], [ 3, -7, -3, -4, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 3, -4, 0, -1, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ]\
, [ -4, 8, 0, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, -8, -2, -4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -6, 8, 2, 2, -1, -1, 0, -1, 0,\
 0, 0, -2, -2, -2, 0, 0, 0 ], [ -8, 10, 2, 2, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -7, 8, 2, 1, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [\
 10, -18, -6, -8, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 0, 2, -4, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, -4, 10, 0, -8, 4, 4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 10, 0, -8, 4, 4, -2 ], [ 1\
0, 0, 10, -20, 2, 16, -8, -8, 4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, 0, -8, 16, 2, -20, 10, 8, -4 ], [ 4, 0, 4, -8, 0, 10, -8, -2, 2 ], [ 4, 0, 4, -8,\
 0, 8, -2, -8, 4 ], [ -2, 0, -2, 4, 0, -4, 2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -2, -1, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1\
, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0\
, 1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, -1, 2, 2, 5, -10, 4, \
8, -6, 6, 1, -1, -7, -1, -5, 0, 7, 8, 0, -5, -8, -11, -5, -8, 5, 1 ], embQ := [ [ 1, 0, 0, -1, 0, 2, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, \
0, 0, 1 ], [ 0, 1, 0, 1, 0, -4, 3, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -2, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 1, -2, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1,\
 -4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -\
3, 0, 1, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 1, 1, 0, 2, -1, 0, 2, -1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -\
1, -2, 1, 2, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 1, 0,\
 -3, -3, 0, 0, 2, 5, 0, 0, 1, 0, -1, 3 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0, 0, -2, 0, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, 0, -2 ], [ 1, 0, 0, -1, 1, 0,\
 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2\
 ] ], r := [ 6, 4, 8, 11, 10, 9, 6, 4, 3, 1 ], rlifts := [ [ 0, 0, 0, 0, 1, -2, 1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, -2, -1, -1, 1, 0 ] ], root\
sQ := [ [ 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, -2, 0, 1, 2, 1, -1 ], [ 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 1, 2, 0, -1, -2, -1, 1 ], [ 0, 0, 0, -1, 0, 0, 1, 0, \
0, 0, -1, -1, -1, 1, 2, 1, -1 ], [ 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 1, 1, -1, -2, -1, 1 ], [ 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, 0, 0, 2, 1, -1 ], [ 0\
, 0, 0, 1, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 1, -1 ], [ 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, \
1, 0, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, -1,\
 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, \
0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ]\
, [ -1, 0, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, \
0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], root\
stypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -4, -8, -11, -10, -9, -6, -4, -3, \
-1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -10, -9, -6, -4, -3, -1 ], [ 12, 8, 16, 23, 20, 18, 12, 8, 6, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ -12, -8, -16, -22, -20, -17, -12, -8, -6, -2 ], [ 6, 4, 8, 11, 10, 9, 7, 4, 3, 1 ], [ 6, 4, 8, 11, 10, 9, 6, 5, 3, 1 ], [ -6, -4, -8, -11, -10, -9\
, -6, -4, -2, -1 ], [ 6, 4, 8, 11, 10, 9, 6, 4, 3, 2 ] ], thegtilde := [ [ -1, -1, 1, 0, 6, -12, 8, 4, -4, 6, 0, 0, -6, 0, -3, -1, 7, 7, 4, -2, -7, -15, -\
9, -6, 4, 0 ], [ -1, 0, 1, -1, 5, -8, 5, 3, -3, 4, 0, 0, -5, 0, -3, -2, 4, 5, 2, -3, -4, -11, -6, -3, 2, -1 ], [ -2, -1, 2, 0, 8, -16, 10, 6, -6, 8, 0, 0,\
 -9, 0, -5, -2, 9, 9, 5, -4, -9, -20, -12, -8, 5, 1 ], [ -2, -1, 3, -1, 13, -26, 17, 9, -9, 13, 0, 0, -14, 0, -7, -3, 14, 14, 9, -6, -14, -32, -19, -15, 1\
0, 2 ], [ -1, 0, 2, -1, 10, -20, 13, 7, -7, 10, 0, 0, -11, 0, -6, -3, 11, 12, 6, -5, -11, -26, -15, -9, 6, -1 ], [ -1, 0, 1, 0, 8, -17, 11, 7, -7, 9, 0, 0\
, -9, 0, -5, -1, 10, 10, 4, -4, -10, -21, -12, -8, 6, -1 ], [ -1, 0, 0, 1, 5, -12, 8, 5, -5, 6, 0, 0, -6, 0, -3, 0, 7, 6, 4, -2, -7, -14, -8, -7, 6, 1 ], \
[ 0, 0, 1, -1, 4, -8, 5, 4, -3, 4, 0, 0, -5, 0, -3, -1, 4, 5, 1, -3, -4, -10, -6, -4, 3, -1 ], [ 0, 0, 0, 0, 3, -6, 3, 3, -2, 3, 0, 0, -4, 0, -2, -1, 3, 3\
, 2, -2, -3, -7, -4, -1, 1, -2 ], [ 0, 0, 0, 0, 1, -2, 1, 1, -1, 2, 0, 0, -2, 0, -1, 0, 1, 1, 0, -1, -1, -3, -2, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 1, 0, 1, -2,\
 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 2, -4, 3, 1, -1, 2, 0, 0, -2, 0, -1, -1, 0, 1, 1, -1, -1, -4, -3, -4, 3, 2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -30, 47, 17, 21, -4, 14, 4, 2, 2,\
 0, 0, -1, -1, 0, 2, 10, 8 ], [ 47, -98, -22, -55, 2, -24, -16, -5, -2, 0, 0, -2, -4, -6, -2, -12, -10 ], [ 17, -22, -22, -7, 3, -11, -6, -3, 0, 0, -2, 2,\
 2, 2, -6, -4, -4 ], [ 21, -55, -7, -36, -1, -12, -12, -3, 0, 0, 0, -3, -5, -6, 0, -4, -4 ], [ -4, 2, 3, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ],\
 [ 14, -24, -11, -12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 4, -16, -6, -12, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 2, -5, -3, -\
3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, \
0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -1, -2, 2, -3, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -1, -4, 2, -5\
, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 0, -6, 2, -6, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, \
0, 0, -4, 0, 0 ], [ 10, -12, -4, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 8, -10, -4, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp\
 := [ [ -8, 0, -4, 10, 0, 0, -8, 6, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 10, 0, 0, -8, 6, -2 ], [ 10, 0, 10, -20, 2, 0, 16, -12, 4 ], [ 0, 0\
, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -8, 0, -8, 16, 0, 2, -20, 14, -4 ], [ 6, 0, 6, -12, 0, 0, 14, -12, 4 ], [ -2, 0, -2, 4, 0, 0, \
-4, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1\
, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 1, 0, 0, -1, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, \
-1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0,\
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0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, 1, -2, -4, 8, -2, 2, 1, -1, -7, -1, -7, 0, 11, 8, -\
2, -5, -12, -7, -1, -12, 1, 1 ], embQ := [ [ 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 3 ], [ 0, 1, 0, 1, 0, 0, -3, 3,\
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1, 1, -1, 0, 2, -3, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 2, 2, -3, -1, 2, 0, -1, -1, 3, -2, 0, 0,\
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, 1, 0, 1, -1, -1, -1, -1, -1, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 4, 8, 11, 10, 9, \
8, 5, 4, 2 ], rlifts := [ [ -1, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, 2, 1, 0, 0, -2, -1, 0, -2, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0\
, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], \
[ 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 1, 0, 1, 0, -2, -1, 0, 0, 1, 2, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 1, 0, 0, -1, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 \
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A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -4, -8, -11, -10, -9, -8, -5, -4, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ -6, -4, -7, -11, -10, -9, -8, -5, -4, -2 ], [ 12, 8, 16, 23, 20, 18, 16, 10, 8, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -28, 26, 21, -5, 6, -5, -1, 2, 0, 0, -4, -6, -6, 2,\
 5, 6, 4 ], [ 26, -26, -19, 4, -4, 5, 1, -2, 0, 0, 4, 6, 6, -2, -5, -4, -2 ], [ 21, -19, -32, 3, -13, -3, -3, 0, 0, -2, 2, 2, 2, -6, -7, -4, -4 ], [ -5, 4\
, 3, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 0, 3, 2 ], [ 6, -4, -13, 0, -12, -2, -4, -2, 2, -2, -1, 0, -2, -4, -2, -4, -4 ], [ -5, 5, -3, 0, -2, -8, 0, 2, \
2, -2, 0, -2, 0, -2, 0, 2, 0 ], [ -1, 1, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0, 0 ], [ 2, -2, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0 ], [ -4, 4, 2, -1, -1, 0, -1, 0, 0, 0\
, -2, -2, -2, 0, 0, 0, 0 ], [ -6, 6, 2, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0, 0 ], [ -6, 6, 2, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0, 0 ], [ 2,\
 -2, -6, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 5, -5, -7, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 3, -4, 2, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, -4, 0, 4, -2, 2 ], [ 0, -4, 2, 0, 0, 0,\
 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 6, 0, -4, 2, -2 ], [ -4, 0, 0, 6, -8, 2, 4, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 4, 0, 0,\
 -4, 4, 2, -8, 4, -2 ], [ -2, 0, 0, 2, -2, 0, 4, -4, 2 ], [ 2, 0, 0, -2, 2, 0, -2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 1, 0, 1, 0, -1\
, 1, -1, 1, 2, 1, 1, 1 ], [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, -1 ], [ 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0, 0 ], [ 0, 0, -\
1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 2, 1, 0 ], [ 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0\
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 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],\
 adjweyl := [ -3, -1, 4, -2, 3, -2, 0, 4, -2, 2, 1, -1, -3, -1, -3, -2, 1, 6, -4, -5, -2, -5, -3, -2, -1, -1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, \
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0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
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 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
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 := [ [ -2, 1, 1, 0, 0, 0, 0, 2, -4, 2, 0, 0, -1, 0, 0, 1, 1, 1, -1, -3, -1, -1, 0, 0, 1, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0\
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, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0\
, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 2, 1, 2, 3, 3, 2, 1, 1, 0, 0 ], rlifts := [ [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 1, -1, -1\
, 0, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0 ]\
, [ 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1,\
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 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -1, -1, -2, -3, -3, -2, -1\
, -1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 3, 2, 1, 1, 0, 0 ], [ -2, -1, -2, -3, -2, -2, -1, -1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 3, 2, 2, 1, 0, 0 ], [ -2, -1, -2, -3, -3, -2, -1, 0, 0, 0 ], [ 2, 1, 2, 3, 3, 2, 1, 1, 1, 0 ], [ 0, 0,\
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0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1 ], [\
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2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
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8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -19, -44, -5, -61, -6, -10, -16, -5, -4, 2, -2, -2, -2, -4, -2, 4, 2 ], [ 10, -5, -22, 3, 3, -11, -6, -3, 0, 0, -\
2, 2, 2, 2, -6, -4, -4 ], [ -41, -61, 3, -100, -10, -10, -24, -6, -2, 2, -2, -6, -8, -10, 0, 8, 4 ], [ -5, -6, 3, -10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, \
0, 3, 2 ], [ 2, -10, -11, -10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -16, -6, -24, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1\
, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -4, 0, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 2, 0, 2, 0, 2, 2, 0, 0, -\
4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -2, -2, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -2, 2, -6, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [\
 -6, -2, 2, -8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -4, 2, -10, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -\
2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 4, -4, 8, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, 2, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], \
GramQperp := [ [ -8, 0, 0, 6, 4, -8, -4, 10, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, -2, 8, 4, -10, 2 ], [ 4,\
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 0, 2, 2, -4, -2, 6, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], \
[ -1, 0, 1, 1, 0, 0, -3, 0, -2, -1, 2, 0, 1, -1, -2, -2, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -11, -1, 4, 6, 3, -10, 0, 12, -2, 2, 1, -1, -11, -\
1, -11, -2, 9, 6, 0, -5, -10, -9, -3, -10, 3, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, \
0, 1, 0, -2, -1, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, -2 ], [ 0, 0, 0, 0, 2, -2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 1, 1, -2, 2, 0, -2, 0, 2, -2, 0, 0, -1, 0, -2,\
 -3, -1, 1, -1, -1, 1, -1, 0, 2, -3, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 1, 2, 0, -2, 1, 0, 0, 1, 0, 0, 2, 2 ], [ 0, -\
1, 1, 0, -2, 2, 0, 2, -4, 2, 0, 0, 1, 0, 2, 3, 1, 1, -2, -2, -1, 1, 0, -2, 2, 1 ], [ 2, 0, 0, -2, 4, -4, 0, -2, 6, -4, 0, 0, -1, 0, -3, -5, -2, 0, 2, 3, 2\
, -2, -1, 2, -3, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, -1, 0, -2, -2, 0, 0, -1, 0, 0, 1, 1, 0, -3, -2 ], [ -2, 0, 0, 2, -2, 0, 4, 0, -8, 6, 0, 0, \
1, 0, 4, 5, 2, 0, 1, -2, -2, -1, -1, -2, 5, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 8, 5, 10, \
15, 13, 12, 9, 5, 4, 2 ], rlifts := [ [ -1, 0, 1, 0, 1, -2, 0, 2, 0, 0, 0, 0, -3, 0, -2, -1, 2, 0, 1, -1, -1, -2, -1, -2, 1, 0 ] ], rootsQ := [ [ 1, 1, 0,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, 0, 0, 1, 0, 0, -2, 0, -2, 0, 1, 0, 0, -1, 0, -1, 1 ], [ 1, 0, 0, -1, 0, 0, 2, 0, 2, 0,\
 -1, 0, 0, 1, 0, 1, -1 ], [ -1, 0, 1, 1, 0, 0, -3, 0, -2, -1, 2, 0, 1, -1, -2, -2, 1 ], [ 1, 0, -1, -1, 0, 0, 3, 0, 2, 1, -2, 0, -1, 1, 2, 2, -1 ], [ 0, 0\
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0, -1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -2, 0, 0, 1, 0, 0, -1, 0, -2, 0, 1, 1, 0, 0, -1, -1, 0 ], [ 2, 0, 0, -1, 0, \
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1,\
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1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -5, -10, -15, -13, -12, -9, -5, -4, -2 ], [ 0, 1\
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2, -9, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -15, -1, 5, 10, 6, -20, 0, 20, 0, 0, 0, 0, -20, 0, -20, -5, 15, 5, 5, -5, -15, -\
15, -5, -14, 4, 4 ], [ -11, 0, 4, 6, 5, -14, 0, 14, 0, 0, 0, 0, -15, 0, -15, -5, 10, 4, 3, -5, -10, -12, -4, -9, 2, 2 ], [ -19, -1, 7, 12, 7, -24, 0, 24, \
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, 1, 0, 0, 0, -9, 0, -9, -3, 6, 2, 2, -2, -6, -7, -3, -4, 0, 0 ], [ -3, 0, 1, 2, 1, -4, 0, 4, 0, 1, 0, 0, -5, 0, -4, -1, 3, 1, 1, -2, -3, -4, -2, -3, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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1, -6, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 2, 0, -2, 0, -2, 4, 0, -4, 0, 0, 0, 0, 4, 0, 4, 2, -2,\
 -2, 0, 2, 2, 4, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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8, 124, -53, -78, -9, 1, -15, -2, 6, 6, -2, -10, -16, -16, 2, 8, 7 ], [ 124, -122, 53, 76, 8, 1, 15, 2, -6, -6, 2, 10, 16, 16, -2, -6, -5 ], [ -53, 53, -4\
4, -37, -1, -12, -13, -4, 4, 6, -4, -4, -8, -8, -6, -2, -1 ], [ -78, 76, -37, -52, -4, -1, -7, -1, 4, 6, -2, -6, -10, -10, 0, 2, 3 ], [ -9, 8, -1, -4, -4,\
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2, 0, -2, 0, -2, 2, 0 ], [ -2, 2, -4, -1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 6, -6, 4, 4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 6\
, -6, 6, 6, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ -2, 2, -4, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -10, 10, -4, -6, -1, -1, 0, -1, 0, \
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 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 0, 0, 8, -4, 0, 0, 4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 8\
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, 4 ], [ -2, 0, 0, 2, -2, 0, 0, 4, -4 ] ], Sigma := [ [ 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -2, 2 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, \
-1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1\
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0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -3, 6, 2, -1, -2, 0, 12, -10, 10,\
 1, -1, -7, -1, -3, 4, 7, 8, -6, -11, -8, -7, -5, -10, 5, 1 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -2, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3 \
], [ 0, 1, 0, 0, -1, 0, 2, -4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3 ], [ 0, 0, 1, 0, -1, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 0, -1, 3, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -2, 2, 2, -2, 2, 0, -2, 2, 0, -4, 0, \
0, -1, 0, -3, -3, 0, 2, -2, -2, 0, -1, 1, 2, -3, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, \
1, 1, 0 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 1, -4, 0, 0, 2, 0, 0, 0, 0, 1, -2, 1, 0, 2, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1,\
 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3\
, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], \
r := [ 8, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], rlifts := [ [ 0, 0, 1, 0, -1, 0, 0, 2, -2, 2, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -1, -1, -2, 2, 0 ] ], rootsQ\
 := [ [ 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -2, 2 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 1, 2, 1, 2, -2 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0\
, 1, 1, 1, -1, -2, -1, -1, 1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 1, 2, 1, 1, -1 ], [ -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -2, 1 ], \
[ 1, 1, -1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 1, 2, 1, 2, -1 ], [ -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -1, 0 ], [ 1, 1, -1, 0, 0, 0, 1, 0, 0, -1\
, -1, -1, 1, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0\
, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0\
, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, \
0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, \
-1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] \
], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -5, -10, -15, -14, -11, -8,\
 -5, -4, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 10, 20, 31, 28, 22, 16, 10, 8, 2 ], [ -16, -10, -20, -30, -27, -2\
2, -16, -10, -8, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 20, 30, 28, 22, 16, 11, 8, 2 ], [ -16, -10, -20, -30,\
 -28, -22, -16, -10, -7, -2 ], [ 16, 10, 20, 30, 28, 22, 16, 10, 8, 3 ] ], thegtilde := [ [ -6, -6, 10, 0, -4, 0, 2, 16, -16, 18, 0, 0, -9, 0, 0, 8, 10, 1\
0, -8, -17, -10, -12, -12, -14, 7, 1 ], [ -5, -4, 7, -1, -1, 0, 1, 11, -11, 12, 0, 0, -7, 0, -1, 4, 6, 7, -6, -13, -6, -9, -8, -9, 4, 1 ], [ -8, -7, 13, 0\
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], [ -4, -4, 5, 0, -1, 0, 0, 10, -9, 10, 0, 0, -6, 0, -1, 4, 5, 5, -5, -10, -5, -6, -6, -7, 3, 1 ], [ -1, -1, 1, 0, 0, 0, 0, 2, -2, 3, 0, 0, -2, 0, 0, 1, \
1, 1, -1, -3, -1, -2, -2, -2, 1, 0 ], [ -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2 ], [ -1, -1, 1, 0, 0, 0, 0, 2, -2\
, 2, 0, -1, -1, 0, 0, 1, 1, 1, -1, -2, -1, -1, -1, 0, 0, 0 ], [ 2, 1, 0, -2, 1, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 1, 2, 0, 0, 1, -1, -1 ], [ 0\
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-2, -1, 0, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 2, -2, 2, 0, 0, -1, 0, 0, 1, 1, 1, -1, -2, -1, -1, -1, 0, -1, 0 ], [ -2, -2, 1, 0, 1, 0, 0, 2, -2, 2, 0, 0, -1, 0\
, 0, 1, 1, 1, -1, -2, -1, -1, -1, -1, 0, 1 ] ] ), rec( GramQ := [ [ -68, 67, -12, -40, -4, 7, 2, 2, 2, -2, 4, -7, -10, -10, 10, 0, 1 ], [ 67, -68, 15, 41,\
 3, -5, -2, -2, -2, 2, -4, 7, 10, 10, -10, 2, 1 ], [ -12, 15, -22, -18, 4, -6, 4, 0, 0, -2, 2, -1, -2, -2, 2, -10, -7 ], [ -40, 41, -18, -36, 1, 5, 10, 3,\
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 -4, -4 ], [ 2, -2, 4, 10, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 2, -2, 0, 3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -\
2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 2, -2, -2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, -4, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2\
, 0, 0 ], [ -7, 7, -1, -3, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -10, 10, -2, -4, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -10, 10, -2, -\
4, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 10, -10, 2, 8, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, 2, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0,\
 0, 0, 0, -6, -4 ], [ 1, 1, -7, -3, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 0, 10, -8, 4, -4, 4, -2 ], [ 0, -4, 2, 0, 0, 0, \
0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 0, 2, -20, 18, -8, 8, -8, 4 ], [ -8, 0, 0, 18, -20, 10, -8, 8, -4 ], [ 4, 0, 0, -8, 10, -8, 6, -4, 2 ], [\
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 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
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[ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0\
, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
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0, 0 ] ], adjweyl := [ -7, -3, 6, 2, -1, 2, -4, 8, -2, -2, 1, -1, -3, -1, -5, 0, 7, 8, -6, -5, -8, -3, -1, -10, -1, 3 ], embQ := [ [ 1, 0, 0, 0, 0, 1, -3,\
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 -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -3, 4, 0, 0, -2, 0, 0, 0, 0, 1, -1, -4, 0, -2, -1, 1, 0, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0\
, 1, -1, 5, -8, 0, 0, 2, 0, -2, -2, -1, -2, 1, 5, 1, 3, 2, 1, -2, 3 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -5, 8, 0, 0, -1, 0, 3, 3, 0, 1, -2, -5, 0, -1, -2, -1\
, 2, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0, 0, -2, 0, 0, 1, 1\
, 0, -1, -3, -1, 0, 0, -1, 0, -2 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 3, -4, 0, 0, 2, 0, 0, -2, -1, 0, 1, 3, 1, 0, 0, 1, -2, 1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3\
, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ] ], r := [ 5, 3, 6, 9, 9, 7, 6, 4, 3, 2 ], rlifts := [ [ 0, 0, 1, 0, -1, 1, -1, 1, 0, -1, -1, 0, 0\
, 0, 0, 0, 1, 1, -1, 0, -1, 0, 0, -2, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0,\
 -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 2, 1 ], [ -1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1\
, 1, -1, 0, 0, -2, -1 ], [ 1, 1, -1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 1, 1, 0, 1, 1 ], [ -1, -1, 1, 0, 1, 0, 0, 0, -1, 0, 1, 1, -1, -1, 0, -1, -1 ], [ 0, 0, \
1, 0, 1, 0, 0, 0, -1, 0, 1, 1, -1, -1, 0, -1, 0 ], [ 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 1, 1, 0, 1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0\
, 0, -2, 0 ], [ 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 2, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, -1, 0, 0, -1,\
 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1\
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 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
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, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ]\
, theg := [ [ -4, -3, -6, -9, -9, -7, -6, -4, -3, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 6, 12, 19, 18, 14, 12, 8\
, 6, 4 ], [ -10, -6, -12, -18, -17, -14, -12, -8, -6, -4 ], [ 5, 3, 6, 9, 9, 8, 6, 4, 3, 2 ], [ -5, -3, -6, -9, -9, -7, -5, -4, -3, -2 ], [ 5, 3, 6, 9, 9,\
 7, 6, 5, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -5, -3, -6, -9, -9, -7, -6, -4, -3, -1 ] ], thegtilde := [ [ -4, -4, 7, 0, -3, 6, -4, 4, 2, -6, 0, 0\
, 0, 0, -3, -1, 7, 7, -5, -2, -7, -3, -3, -9, -5, 3 ], [ -3, -2, 5, -1, -1, 4, -3, 3, 1, -4, 0, 0, -1, 0, -3, -2, 4, 5, -4, -3, -4, -3, -2, -5, -4, 1 ], [\
 -5, -4, 9, 0, -4, 7, -5, 5, 2, -7, 1, 0, -1, 0, -5, -2, 8, 8, -6, -4, -8, -4, -4, -10, -6, 3 ], [ -7, -6, 14, -1, -6, 11, -7, 7, 4, -11, 1, 0, -1, 0, -7,\
 -3, 12, 12, -9, -5, -12, -6, -6, -18, -8, 6 ], [ -6, -5, 12, -1, -5, 10, -7, 7, 3, -10, 0, 0, -1, 0, -6, -3, 11, 12, -9, -5, -11, -6, -5, -14, -9, 4 ], [\
 -5, -4, 9, 0, -5, 9, -6, 6, 2, -8, 0, 0, 0, 0, -4, -1, 9, 9, -8, -4, -9, -3, -3, -11, -7, 3 ], [ -4, -3, 6, 1, -4, 6, -4, 5, 1, -6, 0, 0, 0, 0, -3, 0, 7,\
 6, -5, -2, -7, -2, -2, -10, -3, 4 ], [ -2, -2, 5, -1, -2, 4, -3, 4, 1, -4, 0, 0, -1, 0, -3, -1, 4, 5, -5, -3, -4, -2, -2, -6, -3, 1 ], [ -2, -2, 4, 0, -2\
, 4, -4, 4, 1, -4, 0, 0, -1, 0, -3, -1, 4, 4, -4, -2, -4, -1, -1, -4, -4, 0 ], [ -1, -1, 2, 0, -1, 2, -2, 2, 0, -1, 0, 0, -1, 0, -1, 0, 2, 2, -2, -2, -2, \
-1, -1, -3, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 0, 0, -1\
, 0, 1, 1, -1, -1, -1, 0, 0, 1, -1, -2 ], [ 2, 1, 0, -2, 1, -1, 1, -1, 0, 1, 1, 0, -1, 0, 0, -1, -2, 0, 0, -1, 2, -1, -1, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1\
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, -1, -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ -1, -1, 2, 0, -1, 2, -2, 2, 0, -2, 0, 0, 0, 0, -1, 0, 2, 2, -2, -1, -2, 0, 0, 0, -3, -1 ], [ \
0, 0, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 1, 1, -1, -1, -1, 0, 0, 1, -2, -2 ], [ -1, -1, 1, 0, 0, 1, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, -1, \
0, -1, 0, 0, 0, -2, 0 ] ] ), rec( GramQ := [ [ -80, 76, -21, -40, -9, 1, -13, -2, 0, 2, 0, -6, -8, -10, 4, 8, 7 ], [ 76, -74, 21, 38, 8, 1, 13, 2, 0, -2, \
0, 6, 8, 10, -4, -6, -5 ], [ -21, 21, -28, -15, -1, -12, -11, -4, -2, 2, -2, 0, 0, -2, -4, -2, -1 ], [ -40, 38, -15, -24, -4, -1, -5, -1, -2, 2, 0, -2, -2\
, -4, 2, 2, 3 ], [ -9, 8, -1, -4, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 1, 1, -12, -1, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -13\
, 13, -11, -5, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -2, 2, -4, -1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, 0, -2, -2, -2, -2, 2,\
 -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, -2, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [\
 -6, 6, 0, -2, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -8, 8, 0, -2, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -10, 10, -2, -4, -2, -2, 0, -\
2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 4, -4, -4, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 8, -6, -2, 2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 \
], [ 7, -5, -1, 3, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 0, 0, 8, 0, -4, 0, 2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2,\
 -4, 2, 0, 0, 0, 0, 0 ], [ 8, 0, 2, -8, 2, 4, 0, -2, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 4, 2, -8, 2, 2, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ]\
, [ 2, 0, 0, -2, 0, 2, 2, -4, 2 ], [ -2, 0, 0, 2, 0, -2, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 2, 1, 1, 0, -2, -3, 2 ], [ -1, 0, 0, \
1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0,\
 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -11, -3, \
6, 6, 3, -10, 4, 8, -6, 2, 1, -1, -7, -1, -7, 0, 11, 8, 2, -3, -12, -11, -5, -14, 5, 9 ], embQ := [ [ 1, 0, 0, 0, 2, -2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 5, 0, 0, 3 ], [ 0, 1, 0, 0, -3, 2, 2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, -3 ], [ 0, 0, 1, 0, 1, -2, 0, 2, -2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 1, 1, -2, -1, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
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0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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-3, 3, 0, -3, 1, 1, -2, 0, 0, -2, 0, -3, -4, -1, 2, -2, -3, 1, -2, 0, 3, -4, -3 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -\
1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 1, 2,\
 0, -2, 1, 0, 0, 1, 0, 0, 2, 2 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 1, 0, 0, -1, 3, -4, 1, -1, 3\
, -2, 0, 0, -1, 0, -2, -3, -1, 0, 2, 2, 1, -2, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0\
, 1, 1, 0, -1, 1 ] ], r := [ 8, 5, 10, 15, 14, 13, 10, 7, 6, 3 ], rlifts := [ [ -1, 0, 1, 1, 0, -2, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 2, 1, 1, 0, -2, -2, -\
1, -3, 2, 2 ] ], rootsQ := [ [ -1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 2, 1, 1, 0, -2, -3, 2 ], [ 1, 0, -1, -1, 0, 0, 1, 0, 1, 0, -2, -1, -1, 0, 2, 3, -2 ], [ -1\
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-1, -1, 0, 0, 1, 0, 1, 0, -2, -1, -1, 0, 2, 2, 0 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, \
-1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, 0, 0, 0,\
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0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1,\
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0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -5\
, -10, -15, -14, -13, -10, -7, -6, -3 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 10, 20, 31, 28, 26, 20, 14, 12, 6 ], [ \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -16, -10, -20, -30, -28, -25, -20, -14, -12, -6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 20, 30, 28, 26, 20, 15, 1\
2, 6 ], [ -16, -10, -20, -30, -28, -26, -20, -14, -11, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -18, -7, 12, 11, 6, -22, 13, 9, -9, 0, 0\
, 0, -11, 0, -11, -1, 23, 12, 12, 1, -23, -25, -14, -28, 9, 23 ], [ -14, -5, 9, 7, 6, -16, 9, 7, -7, 0, 0, 0, -9, 0, -9, -2, 16, 9, 8, -1, -16, -19, -10, \
-20, 6, 17 ], [ -22, -8, 15, 13, 7, -26, 15, 11, -11, 0, 0, 0, -14, 0, -14, -2, 27, 14, 14, 0, -27, -30, -17, -33, 10, 28 ], [ -33, -11, 24, 20, 10, -42, \
25, 17, -17, 0, 0, 0, -22, 0, -22, -3, 43, 22, 23, 1, -43, -48, -27, -54, 18, 43 ], [ -31, -11, 21, 18, 11, -38, 22, 16, -16, 0, 0, 0, -20, 0, -20, -3, 39\
, 21, 20, 0, -39, -44, -24, -48, 15, 40 ], [ -26, -9, 17, 16, 8, -31, 18, 14, -14, 0, 0, 0, -16, 0, -16, -1, 33, 17, 16, 0, -33, -35, -19, -40, 13, 33 ], \
[ -16, -5, 10, 11, 4, -20, 12, 9, -9, 0, 0, 0, -10, 0, -10, 0, 21, 10, 11, 1, -21, -22, -12, -26, 10, 21 ], [ -14, -5, 10, 8, 5, -18, 10, 9, -8, 0, 0, 0, \
-10, 0, -10, -1, 18, 10, 8, -1, -18, -20, -11, -23, 8, 18 ], [ -12, -5, 7, 7, 5, -14, 7, 7, -6, 0, 0, 0, -8, 0, -8, -1, 14, 7, 7, 0, -14, -15, -8, -17, 5,\
 15 ], [ -5, -2, 3, 3, 2, -6, 3, 3, -3, 1, 0, 0, -4, 0, -3, 0, 6, 3, 3, -1, -6, -7, -4, -8, 3, 6 ], [ -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0\
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1, 0, 0, 0, -2, 0, -1, -1, 1, 2, 0, -1, -1, -3, -2, -3, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
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1, -2, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 3, 1, 0, -4, 3, 1, -1, 0, 0, 0, -2, 0, -2, -1, 2, 1, 2, 0, -3, -4, -3, -6, 3, 4 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 2, 1, -3, 0, -2, 4, -2, -2, 2, 0, 0, 0, 2, 0, 2, 1, -3, -3, -1, 1, 3, 5, 2, 4, -1, -3 ], [ -\
4, -2, 2, 2, 2, -4, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 4, 2, 2, 0, -4, -4, -2, -3, 0, 4 ], [ -2, -1, 1, 1, 1, -2, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 2, 1, 1, \
0, -2, -2, -1, -1, -1, 2 ], [ -3, -2, 1, 1, 2, -2, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 2, 1, 1, 0, -2, -2, -1, -2, 0, 3 ] ] ), rec( GramQ := [ [ -24, 22, 10,\
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, 0, 3, 2 ], [ 2, 0, -11, 12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, 8, -6, -4, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, 1,\
 -3, 1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 2, 2, 0, 0, -4, 2, 0\
, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 4, 2, -10, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 6, 2\
, -14, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, -14, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 9, 0, -4, -2, -2, 0, 2, -\
2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 10, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 8, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQpe\
rp := [ [ -8, 0, 4, 2, -4, 4, 0, 2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 2, 4, -4, 0, -2, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -4, 0, 4, 2,\
 -8, 6, 0, 2, -2 ], [ 4, 0, -4, 0, 6, -8, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 2, 0, -2, 0, 2, -2, 2, -4, 2 ], [ -2, 0, 2, 0, -2, 2, 0, 2, -4 ] ]\
, Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0,\
 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],\
 [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 6, 2, -3, 2, 0, 8, -6, 2, 1, -1, -3, -1, -3, 2, 3, 4, -6, -7, -4, -1, -1,\
 -4, 1, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 1, -2, 3, \
-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0,\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 1, 1, -2, 2, 0, -2, 0, 2, -2, 0, 0, -1, 0, -2, -3, -1, 1, -1, -1, 1, -1, 0, 2, -3, -\
2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, -1\
, -2, -1, 1, -2, 3, -1 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 2, -1, 1, -2, 0, 2, -2, 0, 2, -2, 0, 0,\
 1, 0, 0, -1, -1, 1, -2, 0, 1, 1, 0, 0, -2, -1 ], [ -1, 0, 0, 1, 1, -4, 3, 1, -3, 2, 0, 0, -1, 0, 0, 1, 1, 0, 2, 0, -1, -2, -1, -1, 3, 2 ], [ -1, 0, 0, 1,\
 -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, \
0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 4, 2, 4, 7, 6, 4, 3, 2, 2, 1 ], rlifts := [ [ -1\
, 0, 1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -\
1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
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 [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0,\
 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0 ], [ 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, \
1, 1, -1, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0 ], [ 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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-1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 0, 0 ], [ 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1", "A3" ], theg := [ [ -3, -2, -4, -7, -6, -4, -3, -2, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 7, 6, 4, 3, 2, 2, 1 ], [ 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -4, -7, -5, -4, -3, -2, -2, -1 ], [ 4, 2, 4, 7, 6, 5, 3, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 2, 4, 7\
, 6, 4, 3, 3, 2, 1 ], [ -4, -2, -4, -7, -6, -4, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -5, -1, 5, 0, -4, 4, 2, 2, -2, 0, 0\
, 0, 0, 0, 0, 1, 1, 1, -3, -3, -1, -1, -3, 0, -2, 2 ], [ -3, 0, 3, -1, -1, 2, 1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -2, -3, 0, -2, -2, 1, -2, 0 ], [ -6,\
 -1, 6, 0, -4, 4, 2, 2, -2, 0, 0, 0, -1, 0, -1, 0, 1, 1, -3, -4, -1, -2, -4, 0, -3, 3 ], [ -9, -1, 10, -1, -7, 7, 4, 3, -3, 0, 0, 0, -1, 0, -1, 1, 2, 1, -\
5, -6, -1, -3, -6, -2, -3, 5 ], [ -7, 0, 8, -1, -6, 6, 3, 3, -3, 0, 0, 0, -1, 0, -1, 0, 1, 2, -5, -6, -1, -3, -5, 1, -4, 2 ], [ -5, 0, 5, 0, -5, 5, 2, 2, \
-2, 0, 0, 0, 0, 0, 0, 1, 1, 1, -4, -4, -1, -1, -3, 1, -3, 1 ], [ -4, 0, 3, 1, -4, 3, 2, 2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, -2, -1, 0, -2, -1, 0, 3 ], [\
 -2, 0, 3, -1, -2, 2, 1, 2, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1, -3, -3, 0, -1, -2, 0, -1, 0 ], [ -2, 0, 2, 0, -2, 2, 0, 2, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -\
2, -2, 0, 0, -1, 2, -2, -1 ], [ -1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -2, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, 2, -1, 0 ], [ 1, 0, 1, -2, 1, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0\
, 2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -28, 73, -14, 45, 5, -1, 2, 1, 3, 2, -2, 4,\
 4, 5, -6, -2, 0 ], [ 73, -210, 40, -133, -16, 6, -12, -3, -4, -4, 4, -12, -14, -16, 14, 12, 6 ], [ -14, 40, -22, 24, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -\
6, -4, -4 ], [ 45, -133, 24, -86, -10, 3, -10, -2, -1, -2, 2, -8, -10, -11, 8, 8, 4 ], [ 5, -16, 3, -10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ -\
1, 6, -11, 3, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 2, -12, -6, -10, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 1, -3, -3, -2, -2, -\
4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 3, -4, 0, -1, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, -4, 0, -2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2,\
 0, 0 ], [ -2, 4, -2, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 4, -12, 2, -8, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 4, -14, 2, -10, 0\
, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 5, -16, 2, -11, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ -6, 14, -6, 8, 0, -4, -2, -2, 0, 2, -2, 0, \
0, 0, -4, 0, 0 ], [ -2, 12, -4, 8, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 0, 6, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [\
 [ -8, 0, 4, 2, 0, 0, -4, 4, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 2, 0, 0, 4, -4, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0\
, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 4, 0, 0, 2, -8, 6, 2 ], [ 4, 0, -4, 0, 0, 0, 6, -8, 0 ], [ 2, 0, -2, 0, 0, 0, 2, 0, -4 ] ], Sigma := [ \
[ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0,\
 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 1, 1, 0, 0, \
-1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1\
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, 1 ], embQ := [ [ 1, 0, 0, -1, 0, 0, 2, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1 ], [ 0, 1, 0, 1, 0, 0, -5, 5, -1, -2, 0, 0, 0, 0, 0, 0\
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 [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 4, 2, 4, 7, 6, 5, 4, 2, 1, 1 ], rlifts := [ [ -1, 0, 1, \
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[ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, \
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13, 59, 6, 0, 8, 2, -2, -4, 2, 5, 7, 8, 0, -6, -4 ], [ 95, -274, 38, -171, -18, 4, -24, -5, 6, 8, -4, -14, -20, -22, 2, 20, 14 ], [ -13, 38, -22, 23, 3, -\
11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ 59, -171, 23, -108, -11, 2, -16, -3, 4, 4, -2, -9, -13, -14, 2, 12, 8 ], [ 6, -18, 3, -11, -4, 0, 0, -2, -2\
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0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, -2, 2, 0, 0, 0, 2, -6 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -2, 2, -8, 2, 0, 0, 0, 2, -6 ], [ 2, 0, 2, -4, 2, 0, \
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1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 6, 2, 1, -2, 0, 4, -6, 10, 1, -1, -7, -1, -3, 0, 3,\
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3, 3, -5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 7 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, \
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 -1, 0, 1, 0, 0, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0, \
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1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], \
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1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 6, 2, 5, -10, 4, 4, -2, 2, 1, -1, -7, -1, -7, -4, 3, 4, 2, -3, -4, -9, -5, -4, 1,\
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3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 2, 2, -3, -1, 2, -2, 3, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, -2, \
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-2, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "A3" ], theg := [ [ -3, -2, -4, -7, -6, -6, -4, -3, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 7, 6, 6, 4, 3, 2, 1 ], [ 0, 0\
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0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -5, -1, 5, 0, 4, -8, 6, -2, 2, 0, 0, 0, -4, \
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 [ -3, 0, 4, -1, 3, -6, 4, 0, 1, 0, 0, 0, -4, 0, -4, -4, 1, 1, 2, -1, 0, -7, -5, 0, -1, 2 ], [ -2, 0, 2, 0, 2, -4, 2, 0, 1, 0, 0, 0, -3, 0, -3, -3, 0, 0, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -260, 63, -139, -191, -13, 11, -10, 1, 5, 4, \
2, -14, -20, -21, 12, 10, 10 ], [ 63, -22, 33, 41, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -139, 33, -84, -104, -5, -2, -8, -1, 3, 4, 0, -8, -12, -\
13, 4, 0, 2 ], [ -191, 41, -104, -146, -8, 9, -2, 2, 3, 4, 2, -10, -14, -15, 10, 4, 6 ], [ -13, 4, -5, -8, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [\
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 ], [ 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -14, 4, -8, -10, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -20, 6, -12, -14, 0, 0\
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[ -8, 0, 4, 10, -8, 0, -4, 12, -10 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, -6, 8, 0, 4, -12, 10 ], [ 10, 0, -6, -20, 18, 0, 8, -24, 20 ], [ -8, 0, \
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20, -20, 0, -10, 32, -28 ] ], Sigma := [ [ -2, -1, 2, 1, 0, 0, -1, 0, 0, 1, 2, 0, 0, -1, -1, -3, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1,\
 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, -5, 10, 6, -3, -2, 0, 12, -10, 6, 1, -1, -7,\
 -1, -5, 4, 11, 8, -4, -9, -12, -7, -5, -16, 5, 9 ], embQ := [ [ 1, 0, 0, 1, 0, 0, -4, 6, -6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 5 ], [ 0, 1,\
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 -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, \
-2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0,\
 -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 \
], [ 1, -1, 1, -1, -1, 2, -1, 1, 3, -8, 0, 0, 3, 0, -1, -1, 0, 1, -2, 3, 0, 3, 2, -1, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0,\
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2, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, 1, 3, -10, 0, 0, 3, 0, -2, -1, 1, 0, 0, 5, -1, 3, 3, -1, -1, 4 ] ], r \
:= [ 10, 6, 12, 19, 18, 15, 12, 8, 7, 3 ], rlifts := [ [ -2, -1, 2, 1, -1, 0, 0, 2, -2, 1, 0, 0, -1, 0, 0, 1, 2, 0, 0, -1, -2, -1, -1, -3, 1, 2 ] ], roots\
Q := [ [ -2, -1, 2, 1, 0, 0, -1, 0, 0, 1, 2, 0, 0, -1, -1, -3, 1 ], [ 2, 1, -2, -1, 0, 0, 1, 0, 0, -1, -2, 0, 0, 1, 1, 3, -1 ], [ -2, -1, 2, 1, 0, 0, -1, \
0, -1, 1, 2, 1, -1, -1, -1, -3, 1 ], [ 2, 1, -2, -1, 0, 0, 1, 0, 1, -1, -2, -1, 1, 1, 1, 3, -1 ], [ -2, -1, 2, 1, 0, 0, -1, 0, 0, 1, 2, 1, 0, -2, -1, -3, \
1 ], [ 2, 1, -2, -1, 0, 0, 1, 0, 0, -1, -2, -1, 0, 2, 1, 3, -1 ], [ -2, -1, 2, 1, 0, 0, -1, 0, -1, 1, 2, 2, -1, -2, -1, -3, 1 ], [ 2, 1, -2, -1, 0, 0, 1, \
0, 1, -1, -2, -2, 1, 2, 1, 3, -1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ]\
, [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0\
, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ \
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0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
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 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -9, -6, -12, -19, -1\
8, -15, -12, -8, -7, -3 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 6, 13, 19, 18, 15, 12, 8, 7, 3 ], [ 20, 12, 24, 39, 36, 30, 24, 16, 14, 6 ], [ -20, -12\
, -24, -38, -35, -30, -24, -16, -14, -6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -10, -6, -12, -19, -18, -15, -11, -8, -7, -3 ], [ 30, 18, 36, 57, 54, 45, 3\
6, 25, 21, 9 ], [ -30, -18, -36, -57, -54, -45, -36, -24, -20, -9 ], [ 10, 6, 12, 19, 18, 15, 12, 8, 7, 4 ] ], thegtilde := [ [ -29, -15, 29, 14, -14, 0, \
2, 26, -26, 14, 0, 0, -14, 0, -7, 13, 29, 15, -6, -20, -29, -17, -17, -42, 12, 28 ], [ -21, -10, 21, 9, -9, 0, 1, 19, -19, 10, 0, 0, -11, 0, -6, 8, 20, 11\
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-4 ], [ 10, -2, 2, 6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -12, 0, -4, 8, -12, -2, 0, 4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [\
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2, -4, 2, 0 ], [ 4, 0, 0, -4, 4, 4, 2, -8, 4 ], [ -2, 0, 0, 2, -2, -2, 0, 4, -4 ] ], Sigma := [ [ -2, -1, 2, 1, 0, 0, -2, 0, -1, 0, 2, 1, 1, -1, -3, -3, 1\
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l := [ -11, -5, 10, 4, 3, -10, 2, 10, -8, 10, 1, -1, -11, -1, -7, 0, 9, 8, 0, -9, -10, -13, -9, -14, 5, 7 ], embQ := [ [ 1, 0, 0, 1, 1, -2, -3, 5, -5, 2, \
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erp := [ [ 0, 0, 2, -2, 0, 2, -2, 2, 0, -4, 0, 0, 1, 0, -1, -1, 0, 2, -3, -1, 0, 1, 1, 0, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, \
0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 2, 1, -2, -1, 0, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 1, 2, -2, -1, -1, 0, 1, -2, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1,\
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0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1,\
 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1\
, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 10, 6, 12, 19, 18, 16, 12, 8, 6, 2 ], rlifts := [ [ -2, -1, 2, 1, 0, -2, 1, 1, -1, 2, 0, 0, -2, 0, -\
1, 0, 2, 1, 1, -1, -2, -3, -3, -3, 1, 2 ] ], rootsQ := [ [ -1, -1, 3, -1, 0, 0, -3, 0, -1, -1, 2, 1, 1, -2, -4, -3, 1 ], [ 1, 1, -3, 1, 0, 0, 3, 0, 1, 1, \
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 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A3" ], theg := [ [ -9, -6, -12, -19, -18, -16, -12, -8, -6, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 6, 13, 19, 18, 16, 12, 8, 6, 2 ], [ 2\
0, 12, 24, 39, 36, 32, 24, 16, 12, 4 ], [ -10, -6, -12, -19, -17, -16, -12, -8, -6, -2 ], [ -20, -12, -24, -38, -36, -31, -24, -16, -12, -4 ], [ 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 20, 12, 24, 38, 36, 32, 24, 17, 12, 4 ], [ -20, -12, -24, -38, -36, -32, -24, -16, -11, -4 ], [ 20, 12, 24, 38, 36, 32, 24, 16, 1\
2, 5 ] ], thegtilde := [ [ -21, -14, 26, 8, 6, -26, 8, 18, -18, 26, 0, 0, -25, 0, -13, 0, 20, 14, 7, -18, -21, -34, -28, -32, 11, 20 ], [ -15, -9, 18, 5, \
5, -18, 5, 13, -13, 18, 0, 0, -18, 0, -10, -1, 13, 10, 4, -14, -14, -24, -19, -21, 7, 13 ], [ -25, -16, 31, 9, 7, -30, 9, 21, -21, 30, 0, 0, -30, 0, -16, \
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 20, 38 ], [ -35, -22, 44, 13, 10, -44, 13, 31, -31, 44, 0, 0, -43, 0, -23, -1, 33, 24, 11, -32, -35, -58, -47, -53, 18, 33 ], [ -30, -19, 38, 11, 8, -37,\
 11, 27, -27, 38, 0, 0, -37, 0, -19, 0, 29, 20, 9, -28, -30, -49, -40, -46, 16, 28 ], [ -19, -12, 24, 7, 5, -24, 8, 17, -17, 24, 0, 0, -24, 0, -12, 0, 19,\
 12, 7, -17, -19, -32, -26, -31, 12, 19 ], [ -14, -9, 18, 5, 4, -18, 5, 14, -13, 18, 0, 0, -18, 0, -10, 0, 13, 10, 3, -14, -14, -23, -19, -22, 8, 13 ], [ \
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
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2, 0, -2, 2, -2, 0, 0, 3, 0, 1, 0, -4, -2, -1, 2, 2, 4, 2, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [\
 1, 1, -2, 0, -1, 2, 0, -2, 2, -2, 0, 0, 1, 0, 1, 0, 0, -2, 1, 2, 1, 2, 1, 1, 0, -1 ], [ -6, -4, 8, 2, 2, -8, 2, 6, -6, 8, 0, 0, -8, 0, -4, 0, 6, 4, 2, -6\
, -6, -10, -8, -7, 2, 4 ], [ -3, -2, 4, 1, 1, -4, 1, 3, -3, 4, 0, 0, -4, 0, -2, 0, 3, 2, 1, -3, -3, -5, -4, -3, 0, 2 ], [ -3, -2, 4, 1, 1, -4, 1, 3, -3, 4\
, 0, 0, -4, 0, -2, 0, 3, 2, 1, -3, -3, -5, -4, -3, 1, 1 ] ] ), rec( GramQ := [ [ -206, 59, -106, -143, -13, 2, -16, -2, 0, 1, 2, -12, -16, -18, 11, 8, 6 ]\
, [ 59, -22, 29, 37, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -106, 29, -72, -77, -5, -11, -14, -4, -2, 1, 0, -6, -8, -10, 3, -2, -2 ], [ -143, 37, \
-77, -104, -8, 0, -8, -1, -2, 1, 2, -8, -10, -12, 9, 2, 2 ], [ -13, 4, -5, -8, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, 0, 0, -12, -4, -\
4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -16, 8, -14, -8, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -2, 1, -4, -1, -2, -4, 0, -4, -2, 0, -1, -1, 0,\
 -2, -2, 0, 0 ], [ 0, -2, -2, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2\
, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -12, 4, -6, -8, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -16, 6, -8, -10, 0, 0, -2, 0, 2, 0, 0, -2, -4,\
 -2, 0, 0, 0 ], [ -18, 6, -10, -12, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 11, -2, 3, 9, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 8, -4, \
-2, 2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 4, 10, -4, -4, -8\
, 10, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, -6, 4, 4, 8, -10, 2 ], [ 10, 0, -6, -20, 10, 8, 16, -20, 4 ], [ -4, 0, 4, 10, -8, -2, -8, 10, -2 ]\
, [ -4, 0, 4, 8, -2, -8, -6, 10, -2 ], [ -8, 0, 8, 16, -8, -6, -20, 22, -4 ], [ 10, 0, -10, -20, 10, 10, 22, -28, 6 ], [ -2, 0, 2, 4, -2, -2, -4, 6, -4 ] \
], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, -1, 2, 1, 0, 0, -2, 0, -2, 0, 2, 1, 0, -1, -1, -3, 0 ], [ \
0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, \
0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0\
, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, -5, 10, 6, 1, -6, -4, 12, -2, 2, 1, -1, -11, -1, -11, -2, 11, 8, -2, -\
7, -12, -9, -5, -16, 1, 7 ], embQ := [ [ 1, 0, 0, 1, 1, -1, -5, 6, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, 0, -1, -3, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0 ], [ 0, 0, 0, \
2, 0, -1, -4, 5, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 1, 1, -2, 2, 0, -2, 0, 2, -2, 0, 0, -1, 0, -2, -3, -1, 1, -1, -1, \
1, -1, 0, 2, -3, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0,\
 1, 2, 2, 1, 0, -1, -2, -1, 1, -2, 3, -1 ], [ -3, 0, 0, 3, -3, 0, 3, 1, -5, 4, 0, 0, 0, 0, 2, 4, 1, -2, 1, -1, -1, 1, 0, -1, 4, 3 ], [ 2, -1, 1, -2, 0, 2,\
 -2, 0, 2, -2, 0, 0, 1, 0, 0, -1, -1, 1, -2, 0, 1, 1, 0, 0, -2, -1 ], [ 1, 0, 0, -1, 3, -4, 1, -1, 3, -2, 0, 0, -1, 0, -2, -3, -1, 0, 2, 2, 1, -2, -1, 1, \
-1, 0 ], [ 1, 0, 0, -1, 1, 2, -5, -1, 7, -4, 0, 0, -1, 0, -3, -4, -1, 0, -1, 1, 1, 1, 1, 1, -5, -3 ], [ -2, 0, 0, 2, -2, 0, 4, 0, -8, 6, 0, 0, 1, 0, 4, 5,\
 2, 0, 1, -2, -2, -1, -1, -2, 5, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 10, 6, 12, 19, 18, 16\
, 13, 8, 6, 3 ], rlifts := [ [ -2, -1, 2, 1, 0, -1, -1, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 1, 0, -1, -2, -1, -1, -3, 0, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2\
, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, \
-1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, -1, 2, 1, 0\
, 0, -2, 0, -2, 0, 2, 1, 0, -1, -1, -3, 0 ], [ 2, 1, -2, -1, 0, 0, 2, 0, 2, 0, -2, -1, 0, 1, 1, 3, 0 ], [ -2, -1, 2, 1, 0, 0, -2, 0, -2, -1, 1, 1, 0, -1, \
-1, -3, 0 ], [ 2, 1, -2, -1, 0, 0, 2, 0, 2, 1, -1, -1, 0, 1, 1, 3, 0 ], [ -2, -1, 2, 1, 0, 0, -2, 0, -2, 0, 3, 1, 0, -1, -2, -3, 0 ], [ 2, 1, -2, -1, 0, 0\
, 2, 0, 2, 0, -3, -1, 0, 1, 2, 3, 0 ], [ -2, -1, 2, 1, 0, 0, -2, 0, -2, -1, 2, 1, 0, -1, -2, -3, 0 ], [ 2, 1, -2, -1, 0, 0, 2, 0, 2, 1, -2, -1, 0, 1, 2, 3\
, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1,\
 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, \
-1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -\
1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ \
"A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -9, -6, -12, -19, -18, -16, -13, -8, -6, -3 ], [ 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 6, 13, 19, 18, 16, 13, 8, 6, 3 ], [ 20, 12, 24, 39, 36, 32, 26, 16, 12, 6 ], [ -10, -6, -12, -19, -17, -16, -13, -8, \
-6, -3 ], [ -10, -6, -12, -19, -18, -15, -13, -8, -6, -3 ], [ -20, -12, -24, -38, -36, -32, -25, -16, -12, -6 ], [ 30, 18, 36, 57, 54, 48, 39, 25, 18, 9 ]\
, [ -10, -6, -12, -19, -18, -16, -13, -8, -5, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -29, -15, 29, 14, 0, -14, -12, 26, 2, 0, 0, 0, -2\
8, 0, -28, -8, 29, 15, 1, -13, -29, -24, -17, -42, -2, 21 ], [ -21, -10, 21, 9, 1, -10, -9, 19, 1, 0, 0, 0, -21, 0, -21, -7, 20, 11, 0, -11, -20, -18, -12\
, -29, -2, 14 ], [ -34, -17, 34, 16, 0, -16, -14, 30, 2, 0, 0, 0, -33, 0, -33, -10, 33, 17, 1, -16, -33, -28, -20, -48, -3, 25 ], [ -52, -26, 53, 24, 0, -\
25, -21, 46, 4, 0, 0, 0, -51, 0, -51, -15, 52, 26, 2, -24, -51, -44, -31, -77, -3, 39 ], [ -49, -24, 50, 23, 0, -24, -21, 45, 3, 0, 0, 0, -49, 0, -49, -15\
, 49, 26, 1, -24, -49, -42, -29, -71, -4, 35 ], [ -41, -20, 41, 20, -1, -19, -18, 38, 2, 0, 0, 0, -40, 0, -40, -11, 41, 21, 0, -20, -41, -33, -23, -59, -3\
, 29 ], [ -27, -13, 26, 14, -1, -13, -11, 25, 1, 0, 0, 0, -26, 0, -26, -7, 26, 13, 1, -12, -27, -21, -15, -40, 0, 21 ], [ -20, -10, 21, 9, 0, -10, -9, 20,\
 1, 0, 0, 0, -21, 0, -21, -6, 20, 11, -1, -11, -20, -17, -12, -30, -1, 14 ], [ -16, -8, 16, 8, 0, -8, -8, 16, 1, 0, 0, 0, -17, 0, -17, -5, 16, 8, 0, -8, -\
16, -13, -9, -22, -2, 10 ], [ -6, -3, 6, 3, 0, -3, -3, 6, 0, 1, 0, 0, -7, 0, -6, -2, 5, 3, 0, -4, -6, -5, -4, -9, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, 4, 2, 0, -2, -2, 4, 0, 0, 0, -1, -4, 0, -4, -2, 2, 2, 0, -2, -4, -2, -2, -4, -1, 3 ], [ 1, 0,\
 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, 4, 2, 0, -2, -2, 4, 0, 0, 0, 0, -4, 0, -4, -1, 6\
, 2, 0, -2, -4, -4, -2, -4, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -2, 1, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 3, 2, -5, 0, -1, 2, 2, -4, 0, 0, 0, 0, 4, 0, 4, 2, -3, -3, 1, 3, 3, 4, 2,\
 5, 1, -2 ], [ -8, -4, 8, 4, 0, -4, -4, 8, 0, 0, 0, 0, -8, 0, -8, -2, 8, 4, 0, -4, -8, -6, -4, -9, -2, 4 ], [ -4, -2, 4, 2, 0, -2, -2, 4, 0, 0, 0, 0, -4, \
0, -4, -1, 4, 2, 0, -2, -4, -3, -2, -4, -2, 2 ], [ -4, -2, 4, 2, 0, -2, -2, 4, 0, 0, 0, 0, -4, 0, -4, -1, 4, 2, 0, -2, -4, -3, -2, -4, -1, 1 ] ] ), rec( G\
ramQ := [ [ -496, 487, -332, -390, -24, 9, -30, -4, 4, 4, 0, -19, -26, -28, 12, 24, 17 ], [ 487, -480, 327, 383, 23, -7, 30, 4, -4, -4, 0, 19, 26, 28, -12\
, -22, -15 ], [ -332, 327, -234, -260, -16, -4, -28, -6, 2, 4, -2, -13, -18, -20, 4, 14, 9 ], [ -390, 383, -260, -308, -19, 7, -22, -3, 2, 4, 0, -15, -20,\
 -22, 10, 18, 13 ], [ -24, 23, -16, -19, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 9, -7, -4, 7, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ],\
 [ -30, 30, -28, -22, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -4, 4, -6, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 4, -4, 2, 2, -2, \
-2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 4, -4, 4, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, \
0 ], [ -19, 19, -13, -15, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -26, 26, -18, -20, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -28, 28, -20,\
 -22, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 12, -12, 4, 10, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 24, -22, 14, 18, 3, -4, 2, 0, 0, 0,\
 0, 0, 0, 0, 0, -6, -4 ], [ 17, -15, 9, 13, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 8, 2, 0, -4, -4, 12, -6 ], [ 0, -4, 2, 0\
, 0, 0, 0, 0, 0 ], [ 8, 2, -20, 2, 0, 8, 8, -24, 12 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 8, 0, 2, -8, -2, 12, -6 ],\
 [ -4, 0, 8, 0, 0, -2, -8, 14, -6 ], [ 12, 0, -24, 0, 0, 12, 14, -40, 20 ], [ -6, 0, 12, 0, 0, -6, -6, 20, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, \
1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -2, 0\
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0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -15, -3, 10, 6, -1, -6, 0, 12, -6, 6, 1, -1, -11, -1, -9, 0, 7, 4, -2, -9, -8, -7, -5, -10, 3, 7 ], embQ := [ [ 1, 0\
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0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0,\
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 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, \
-2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -5, 12, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, 1, -1,\
 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 9, 5, 10, 17, 15, 13, 10, 6, 5, 2 ], rlifts := [ [ -2, 0, 2, 1, -1, -1, 0, \
2, -1, 1, -1, 0, -2, 0, -1, 0, 1, 0, 0, -1, -1, -1, -1, -2, 1, 2 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, \
0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1\
, 0, -1 ], [ -2, 0, 2, 1, 1, 0, -2, 0, -2, 0, 1, 0, 0, -2, -1, -1, 1 ], [ 2, 0, -2, -1, -1, 0, 2, 0, 2, 0, -1, 0, 0, 2, 1, 1, -1 ], [ 1, 1, 0, 0, 0, 0, 0,\
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 0, 1, 0, -1, 0, 0, 1, 1, 2, 0 ], [ -3, -1, 2, 1, -1, 0, -2, 0, -1, 0, 1, 0, 0, -1, -1, -2, 0 ], [ -3, -1, 2, 1, 1, 0, -2, 0, -2, 0, 1, 0, 0, -2, -1, -1, \
0 ], [ 3, 1, -2, -1, -1, 0, 2, 0, 2, 0, -1, 0, 0, 2, 1, 1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -\
1, 1, 0, 1, 0, -2, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -8, -5, -10, -17, -15, -13, -10, -6, -5, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 10, 21, 34, 30, 26, 2\
0, 12, 10, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -9, -5, -10, -17, -15, -12, -10, -6, -5, -2 ], [ -9, -5, -10, -17, -\
15, -13, -9, -6, -5, -2 ], [ 27, 15, 30, 51, 45, 39, 30, 19, 15, 6 ], [ -18, -10, -20, -34, -30, -26, -20, -12, -9, -4 ], [ 9, 5, 10, 17, 15, 13, 10, 6, 5\
, 3 ] ], thegtilde := [ [ -31, -7, 25, 12, -6, -12, 2, 22, -10, 12, 0, 0, -24, 0, -18, -1, 13, 1, 1, -17, -13, -15, -15, -18, 4, 18 ], [ -21, -4, 17, 7, -\
3, -8, 1, 15, -7, 8, 0, 0, -17, 0, -13, -2, 8, 1, 0, -13, -8, -11, -10, -11, 2, 11 ], [ -34, -7, 28, 13, -7, -13, 2, 24, -11, 13, 1, 0, -27, 0, -21, -2, 1\
4, 1, 1, -20, -14, -17, -17, -19, 4, 19 ], [ -54, -11, 45, 20, -11, -21, 4, 38, -17, 21, 1, 0, -43, 0, -33, -3, 22, 1, 2, -31, -22, -27, -27, -33, 8, 32 ]\
, [ -51, -10, 42, 19, -10, -20, 3, 37, -17, 20, 0, 0, -41, 0, -31, -3, 21, 2, 1, -30, -21, -26, -25, -29, 6, 29 ], [ -41, -8, 33, 16, -9, -15, 2, 30, -14,\
 16, 0, 0, -32, 0, -24, -1, 17, 1, 0, -24, -17, -19, -19, -23, 5, 23 ], [ -26, -5, 20, 11, -6, -10, 2, 19, -9, 10, 0, 0, -20, 0, -15, 0, 11, 0, 1, -14, -1\
1, -12, -12, -16, 5, 16 ], [ -20, -4, 17, 7, -4, -8, 1, 16, -7, 8, 0, 0, -17, 0, -13, -1, 8, 1, -1, -13, -8, -10, -10, -12, 3, 11 ], [ -15, -3, 12, 6, -3,\
 -6, 0, 12, -5, 6, 0, 0, -13, 0, -10, -1, 6, 0, 0, -9, -6, -7, -7, -7, 1, 7 ], [ -5, -1, 4, 2, -1, -2, 0, 4, -2, 3, 0, 0, -5, 0, -3, 0, 2, 0, 0, -4, -2, -\
3, -3, -3, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 2, 1, -1, -1, 0, 2, -1, 1, 1, -1, -2, 0, -2\
, 0, 1, 0, 0, -2, -1, -1, -1, 1, 0, -1 ], [ -1, 0, 3, -1, 0, -1, 0, 2, -1, 1, 1, 0, -3, 0, -2, -1, 0, 1, -1, -3, 0, -2, -2, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
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-1, 2, 1, 0, -1, 0, 2, -1, 1, -1, 0, -2, 0, -1, -1, 1, 0, 0, -1, -1, -1, -1, 0, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0\
, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 4, 1, -5, 0, 0, 2, 0,\
 -4, 2, -2, 0, 0, 4, 0, 3, 1, -1, -1, 1, 4, 1, 3, 2, 2, 0, -2 ], [ -5, -1, 4, 2, -1, -2, 0, 4, -2, 2, 0, 0, -4, 0, -3, 0, 2, 0, 0, -3, -2, -2, -2, 0, -1, \
1 ], [ -2, 0, 2, 1, -1, -1, 0, 2, -1, 1, 1, 0, -2, 0, -2, 0, 1, 0, 0, -2, -1, -1, -1, 1, -1, -1 ], [ -3, -1, 2, 1, 0, -1, 0, 2, -1, 1, -1, 0, -2, 0, -1, 0\
, 1, 0, 0, -1, -1, -1, -1, 0, -1, 1 ] ] ), rec( GramQ := [ [ -54, -13, -42, -65, 2, 18, 19, 7, 0, -2, 4, 1, 2, 4, 8, 0, 2 ], [ -13, -22, -43, -35, 4, 0, 8\
, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -42, -43, -96, -87, 10, 5, 21, 5, -2, -2, 2, 7, 10, 12, 0, -10, -6 ], [ -65, -35, -87, -100, 7, 16, 27, 8, -2, -2,\
 4, 5, 8, 10, 6, -6, -2 ], [ 2, 4, 10, 7, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 18, 0, 5, 16, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ]\
, [ 19, 8, 21, 27, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 7, 1, 5, 8, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, -2, -2, -2, -2, -2, \
2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 0, -2, -2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ]\
, [ 1, 4, 7, 5, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 2, 6, 10, 8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 4, 6, 12, 10, -2, -2, 0, -2, \
0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 8, -2, 0, 6, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, -4, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ],\
 [ 2, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 4, -4, 6, 4, -4, 0, 0, -2 ], [ 4, -8, 6, -4, -4, 4, 0, 0, 2 ], [ -4, \
6, -8, 6, 4, -4, 0, 0, -2 ], [ 6, -4, 6, -8, -2, 4, 0, 0, 2 ], [ 4, -4, 4, -2, -8, 6, 0, 0, 2 ], [ -4, 4, -4, 4, 6, -8, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 2, -4\
, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ -2, 2, -2, 2, 2, -2, 0, 2, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1\
, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, 1, 0, 0, 0, 1, -2, 0,\
 -1, -1, 2, 0, 2, -1, -4, -2, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [\
 -9, 3, 0, 4, 5, -6, 2, 2, -4, 6, 1, -1, -7, -1, -5, -2, 7, 6, 2, -5, -8, -11, -3, -8, 3, 1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -4, 1, 2, -2, 3, \
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1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 4, 2, 5, 7, 6, 6, 5, 4, 3, 1 ], rlifts := [ [ -1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 1, -2, 0, -1, -1, 2, 0, 2, -1\
, -1, -4, -2, -2, 0, 0 ] ], rootsQ := [ [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], \
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, [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ -1, 1, -1, 1, 0, -1, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [\
 [ -3, -2, -5, -7, -6, -6, -5, -4, -3, -1 ], [ 4, 3, 5, 7, 6, 6, 5, 4, 3, 1 ], [ -4, -2, -4, -7, -6, -6, -5, -4, -3, -1 ], [ 4, 2, 5, 8, 6, 6, 5, 4, 3, 1 \
], [ 4, 2, 5, 7, 7, 6, 5, 4, 3, 1 ], [ -4, -2, -5, -7, -6, -5, -5, -4, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ -4,\
 -2, -5, -7, -6, -6, -5, -4, -2, -1 ], [ 4, 2, 5, 7, 6, 6, 5, 4, 3, 2 ] ], thegtilde := [ [ -6, 4, -2, 3, 5, -5, 4, -4, -1, 5, 0, 1, -5, 0, -3, -3, 6, 3, \
6, -2, -6, -13, -5, -5, 0, 0 ], [ -4, 3, -1, 1, 4, -3, 2, -2, -1, 3, 0, 1, -4, 0, -3, -3, 3, 2, 3, -3, -3, -9, -3, -2, -1, -1 ], [ -8, 5, -2, 4, 6, -6, 4,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, -1, 2, -2, 1, -1, 1, 0, -1, 0, 1, 1, 0, 0, 2, 0, -2, 0, 1,\
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68, -160, 11, 7, 23, 6, -1, -2, 2, 8, 11, 13, 0, -10, -6 ], [ -46, -22, -76, -68, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -168, -76, -290, -250, 19\
, -6, 25, 4, -3, -2, 0, 14, 19, 21, -8, -20, -14 ], [ -160, -68, -250, -232, 16, 5, 31, 7, -3, -2, 2, 12, 17, 19, -2, -16, -10 ], [ 11, 4, 19, 16, -4, 0, \
0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 7, 0, -6, 5, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 23, 8, 25, 31, 0, -4, -12, 0, 2, 2, -2, 0, -2,\
 0, -2, 2, 0 ], [ 6, 1, 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -1, -2, -3, -3, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 0, -2,\
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 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -12, -4, 0, 2, -2, -12, 2, 2, -2 ], [ -4, -8, 2, 0, -2, -8, 2, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0\
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-4, 2 ], [ -2, 0, 0, 0, 0, -2, 0, 2, -4 ] ], Sigma := [ [ -2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, -1, -1, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, \
1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], \
[ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, 3, 2, 6, 1, -6, 4, 8, -6, 2, \
1, -1, -7, -1, -7, 0, 7, 4, 0, -5, -8, -7, -1, -8, 5, 5 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 1, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -5, 0, 0, -3 ]\
, [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -4, 1, 3, -5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
2, 0, -8, 0, 0, -6 ], [ 0, 0, 0, 2, -4, 1, 2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -7, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 1, 1, -2, 4, -4, 0, 0, 2, -2, 0,\
 0, -2, 0, -3, -4, -1, 1, 1, 0, 1, -3, -1, 2, -2, -1 ], [ 1, -3, 2, 0, 1, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, -2, 1, 0, 2 ], [ 1, 2, -3, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, \
0, 1 ], [ 1, -1, 1, -1, 1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 1, 1 ], [ 1, 0, 0, -1, 5, -8, 3, -1, 3, -2, 0, 0, -2, 0, -3, -4, \
-1, 0, 4, 3, 1, -4, -2, 1, 0, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2,\
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 6, 3, 7, 11, 9, 8, 6, 4, 4, 2 ], rlifts := [ [ -2, 1, 0, 1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, -1, -1, 0, -1, 1, 1 ] ], rootsQ := [ [ -\
2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, -1, -1, 1 ], [ 2, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 1, -1, 0, 1, 1, -1 ], [ -2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1\
, 0, 0, 0, -1, -1, 1 ], [ 2, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1 ], [ -2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, -1, -1, -1, 1 ], [ 2, -1, 0\
, -1, 0, 0, 1, 0, 1, 0, -1, 0, -1, 1, 1, 1, -1 ], [ -2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 1, 0, -1, -1, -1, 1 ], [ 2, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, 0\
, 1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0,\
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, [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], roots\
typeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -3, -7, -11, -9, -8, -6, -4, -4, -2\
 ], [ 6, 4, 7, 11, 9, 8, 6, 4, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 7, 11, 10, 8, 6, 4, 4, 2 ], [ -6, -3, -\
7, -11, -9, -7, -6, -4, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 12, 6, 14, 22, 18, 16, 12, 9, 8, 4 ], [ -12, -6, -14, -22, -18, -16, -12, -8, -7, -4\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -17, 7, 1, 8, 0, -8, 10, 6, -6, 0, 0, 0, -8, 0, -8, -1, 9, 1, 5, -3, -9, -11, -3, -8, 6, 8 ], [ -\
11, 5, 1, 4, 1, -5, 6, 4, -4, 0, 0, 0, -6, 0, -6, -2, 5, 1, 2, -3, -5, -8, -2, -4, 3, 4 ], [ -20, 8, 2, 9, 0, -9, 11, 7, -7, 0, 0, 0, -10, 0, -10, -2, 10,\
 1, 5, -4, -10, -13, -4, -9, 6, 10 ], [ -32, 14, 3, 14, 0, -15, 19, 11, -11, 0, 0, 0, -16, 0, -16, -3, 16, 1, 9, -6, -16, -21, -6, -17, 12, 17 ], [ -27, 1\
3, 2, 12, 0, -13, 16, 10, -10, 0, 0, 0, -14, 0, -14, -3, 14, 2, 7, -6, -14, -19, -5, -12, 9, 12 ], [ -21, 10, 1, 10, -1, -9, 12, 8, -8, 0, 0, 0, -10, 0, -\
10, -1, 11, 1, 5, -5, -11, -13, -3, -9, 7, 9 ], [ -13, 6, 0, 7, -1, -6, 8, 5, -5, 0, 0, 0, -6, 0, -6, 0, 7, 0, 4, -2, -7, -8, -2, -7, 6, 7 ], [ -12, 6, 1,\
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 -5, -1, -2, 2, 2 ], [ -4, 2, 0, 2, 0, -2, 2, 2, -2, 1, 0, 0, -3, 0, -2, 0, 2, 0, 1, -2, -2, -3, -1, -2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 2, -1, -1 ], [ -3, 2, 1, 0, 1, -2, 2, \
2, -2, 0, 0, 0, -3, 0, -2, -1, 1, 1, 1, -3, -1, -3, -1, -3, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ \
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2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
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 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 2, 1, 1, 0, -2, 3, 1, -1, 0, 0, 0, -2, 0, -2, -1, 0, -1, 1, -1, -1, -2, -1, -4, 3, 4 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 3, -2, -1, 0, -1, 2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 1, -1, -1, 0, 2, 1, 3, 0, 1, -1, -1 ], [ 0\
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 -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -202, -60, -263, -262, 12, 17, 34, 9,\
 -2, -2, 3, 11, 16, 18, 1, -8, -2 ], [ -60, -22, -90, -82, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -263, -90, -390, -357, 20, 4, 36, 7, -4, -2, 1, \
17, 24, 26, -7, -18, -10 ], [ -262, -82, -357, -346, 17, 15, 42, 10, -4, -2, 3, 15, 22, 24, -1, -14, -6 ], [ 12, 4, 20, 17, -4, 0, 0, -2, -2, 0, 0, -1, 0,\
 -2, 0, 3, 2 ], [ 17, 0, 4, 15, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 34, 8, 36, 42, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 9, 1\
, 7, 10, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 0, -2, -2, 0, 2, 2, 0, 0, -\
4, 2, 0, 0, 0, 2, 0, 0 ], [ 3, 0, 1, 3, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 11, 4, 17, 15, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 16\
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0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -8, -4, -18, -14, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -2, -2, -10, -6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4\
 ] ], GramQperp := [ [ -8, 4, 0, 2, 4, 0, -8, 8, -2 ], [ 4, -8, 2, 0, -4, 0, 8, -8, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [\
 4, -4, 0, 2, -8, 2, 8, -8, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -8, 8, 0, 0, 8, 2, -20, 18, -4 ], [ 8, -8, 0, 0, -8, 0, 18, -20, 6 ], [ -2, 2, 0, 0, 2,\
 0, -4, 6, -4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1\
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 1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -2, 1, 0, 1, 0, 0, -2, 1,\
 -2, -1, 0, 0, 0, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, 3, 2, 6, 1, -2, -4, 8, -2, 6, 1, -1, -11, -1, -9, -2, \
7, 4, -2, -9, -8, -7, -1, -8, 1, -1 ], embQ := [ [ 1, 0, 0, 1, -3, 0, 3, -3, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, -1 ], [ 0, 1, 0, 1, -2,\
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 ], [ 0, 0, 0, 2, -4, 0, 4, -4, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -8, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2\
, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1,\
 -1, -1, 2, -1, 1, -3, 4, 0, 0, 0, 0, 2, 2, 0, 1, -2, -3, 0, 0, -1, -1, 1, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, \
-1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 5, -8, 0, 0, 1, 0, -3, -2, 1, 0, -1, 3, -1, 3, 3, -1, -3, 1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -3, 8, 0, 0, -1, 0,\
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9, 8, 7, 4, 3, 1 ], rlifts := [ [ -2, 1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, -2, 1, -2, -1, 0, 0, 0, -2, -1, -1, 0, -1, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, -1, 0,\
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 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0\
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 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, \
0, 0, 0, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 0, 0, 2, -1, 2, 1, -1, 0, 0, 2, 2, 1, 0 ], [ -2, 1, 0, 1, 0, 0, -2, 1, -2, -1, 1, 0, 0, -2, -2, -1, 0 ], [ 2, -1,\
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 "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -3, -7, -11, -9, -8, -7, -4, -3, -1 ], [ 6, 4, 7, 1\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, -12, 10, -34, -5, 2, -8, -1, \
2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -12, -28, -4, -39, -4, -10, -10, -5, -4, 2, -2, -2, -2, -4, -2, 0, 0 ], [ 10, -4, -22, 4, 3, -11, -6, -3, 0, 0, -2, 2, 2\
, 2, -6, -4, -4 ], [ -34, -39, 4, -72, -8, -10, -18, -6, -2, 2, -2, -6, -8, -10, 0, 4, 2 ], [ -5, -4, 3, -8, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ],\
 [ 2, -10, -11, -10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -10, -6, -18, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, \
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, -8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -4, 2, -10, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -\
2, 0, 0, 0, -4, 0, 0 ], [ 6, 0, -4, 4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, 0, -4, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp \
:= [ [ -12, -4, 0, 8, -12, -2, 2, 2, 0 ], [ -4, -8, 2, 2, -8, 2, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 8, 2, 2, -8, 8, 4, -2, -2, 0 ], [ -12, -8, 0\
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], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 1, 1, 0, 0, 0, -2, \
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0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 6, 2, 5, -10, 0, 12, -2, 2, 1, -1, -11, -1, -11, -4, 7, 8, -2, -7, -8\
, -11, -5, -12, 3, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -2, -1, 3, -1, 0, \
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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 1, 0, 2, -3, 1, 2, -1, -1, -1, 0, 0, 0, 1, 0, 1, -1, -1, 2, -2, -2, 1, -1, -\
1, 1, -2, -1 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0, 1, -2, 0, 0, 2, -1, 0, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -2, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 1, 0, -2, 0, 0, 0, 2, 1, 0, 1, 1 ], [ 3, -2, 2, -3, -1, 4, -1, -\
1, -1, 0, 0, 0, 3, 0, 3, 1, -1, 2, -3, -1, 1, 1, -1, -1, -1, 0 ], [ 1, 0, 0, -1, 3, -4, 3, -3, 1, 0, 0, 0, 0, 0, 0, -2, -1, 0, 3, 2, 1, -3, -2, 1, 0, 1 ],\
 [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0\
, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 9, 5, 11, 17, 16, 14, 10, 6, 4,\
 2 ], rlifts := [ [ 0, 1, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, -2, -1, 1, 1, 0, -1, -1, -2, -1, -2, 1, 0 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, -1, 1, 2, 0, 0, -2, 0, -2, -1, 1, 1, 0, -1, -2, -2, 0 ], [ 2, 1, -1, -2, 0, 0, 2, 0, 2, 1,\
 -1, -1, 0, 1, 2, 2, 0 ], [ -1, 0, 1, 1, 0, 0, -2, 0, -2, -1, 1, 1, 0, -1, -2, -2, 0 ], [ 1, 0, -1, -1, 0, 0, 2, 0, 2, 1, -1, -1, 0, 1, 2, 2, 0 ], [ 0, 0,\
 -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1\
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0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0\
, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -8, -5, -11, -17, -16, -14, -10, -6, -4, -2 ], [ 9, 6, 11, 17, 16,\
 14, 10, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 10, 22, 35, 32, 28, 20, 12, 8, 4 ], [ -9, -5, -11, -17, -15, -14, -10, -6, -4, -2 ], [ -18, -1\
0, -22, -34, -32, -27, -20, -12, -8, -4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 18, 10, 22, 34, 32, 28, 20, 13, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -12, -1, 12, 0, 11, -22, 2, 20, 2, 0, 0, 0, -22, 0, -22, -12, 12, 12, 1, -10, -12, -25, -14, -22, 3, 6\
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, 0, 0, 1, 0, 1, 0, 0, 0, -1 ], [ 3, 0, -3, 0, -1, 4, -2, -6, 4, -2, 0, 0, 4, 0, 3, 0, -3, -3, 1, 4, 3, 5, 2, 5, -3, -2 ], [ -8, 0, 4, 4, 0, -8, 4, 12, -8\
, 4, 0, 0, -8, 0, -6, 2, 8, 4, 0, -6, -8, -8, -4, -9, 6, 4 ], [ -4, 0, 2, 2, 0, -4, 2, 6, -4, 2, 0, 0, -4, 0, -3, 1, 4, 2, 0, -3, -4, -4, -2, -4, 2, 2 ], \
[ -4, 0, 2, 2, 0, -4, 2, 6, -4, 2, 0, 0, -4, 0, -3, 1, 4, 2, 0, -3, -4, -4, -2, -4, 3, 1 ] ] ), rec( GramQ := [ [ -24, -52, 10, -74, -5, 2, -8, -1, 2, 0, \
0, -4, -6, -6, 2, 6, 4 ], [ -52, -170, 4, -220, -10, -17, -29, -8, 1, 6, -4, -10, -15, -17, -2, 4, 2 ], [ 10, 4, -22, 12, 3, -11, -6, -3, 0, 0, -2, 2, 2, \
2, -6, -4, -4 ], [ -74, -220, 12, -292, -14, -17, -37, -9, 3, 6, -4, -14, -21, -23, 0, 8, 4 ], [ -5, -10, 3, -14, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3,\
 2 ], [ 2, -17, -11, -17, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -29, -6, -37, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -8,\
 -3, -9, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 1, 0, 3, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 6, 0, 6, 0, 2, 2, 0, 0, -4, 2, 0\
, 0, 0, 2, 0, 0 ], [ 0, -4, -2, -4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -10, 2, -14, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, \
-15, 2, -21, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -17, 2, -23, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2,\
 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 4, -4, 8, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, 2, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], Gr\
amQperp := [ [ -12, -4, 0, 6, -6, -12, -2, 8, -2 ], [ -4, -8, 2, 0, -2, -8, 2, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 6, 0, 2, -8, 6, 4, 4, -8, 2 ], [ \
-6, -2, 0, 6, -8, -8, -2, 8, -2 ], [ -12, -8, 0, 4, -8, -20, 0, 8, -2 ], [ -2, 2, 0, 4, -2, 0, -8, 10, -2 ], [ 8, 0, 0, -8, 8, 8, 10, -20, 6 ], [ -2, 0, 0\
, 2, -2, -2, -2, 6, -4 ] ], Sigma := [ [ -2, 0, 1, 1, 0, 0, -3, 0, -2, 0, 2, 0, 0, -2, -2, -3, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1\
 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, \
0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, -1, 6, 6, 1, -6, -4, 16, -6, 10, 1, -1, -15, -1\
, -11, 0, 11, 8, -4, -13, -12, -11, -5, -16, 5, 1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1\
, 0, 1, 0, -1, -3, 5, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, -2 ], [ 0, 0, 0, 0, 2, -1, -4, 6, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
-2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 3, -4, 1, 1, 1, -4, 0, 0, -1, 0, \
-3, -3, 0, 1, 1, 1, 0, -2, 0, 1, -1, 1 ], [ 1, -3, 2, 0, 1, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, -2, 1, 0, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, 0 ], [ \
1, -1, 1, -1, 1, -2, 1, 1, 1, -4, 0, 0, 1, 0, -1, -1, 0, 1, 0, 2, 0, 0, 0, -1, 0, 2 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 2, -4, 0, 0, -1, 0, -3, -3, 0, 0, 4, 4, \
0, -3, -1, 0, 1, 3 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -3, 8, 0, 0,\
 -1, 0, 3, 1, -1, 0, 1, -3, 1, -3, -3, 1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 12, 7,\
 15, 23, 21, 18, 14, 8, 6, 2 ], rlifts := [ [ -2, 0, 1, 1, 0, -1, -1, 3, -1, 2, 0, 0, -3, 0, -2, 0, 2, 0, 0, -2, -2, -2, -1, -3, 1, 0 ] ], rootsQ := [ [ -\
2, 0, 1, 1, 0, 0, -3, 0, -2, 0, 2, 0, 0, -2, -2, -3, 1 ], [ 2, 0, -1, -1, 0, 0, 3, 0, 2, 0, -2, 0, 0, 2, 2, 3, -1 ], [ -2, 0, 1, 1, 0, 0, -3, 0, -2, 0, 2,\
 1, -1, -2, -2, -3, 1 ], [ 2, 0, -1, -1, 0, 0, 3, 0, 2, 0, -2, -1, 1, 2, 2, 3, -1 ], [ -2, 0, 1, 1, 0, 0, -3, 0, -2, 0, 2, 1, 0, -3, -2, -3, 1 ], [ 2, 0, \
-1, -1, 0, 0, 3, 0, 2, 0, -2, -1, 0, 3, 2, 3, -1 ], [ -2, 0, 1, 1, 0, 0, -3, 0, -2, 0, 2, 2, -1, -3, -2, -3, 1 ], [ 2, 0, -1, -1, 0, 0, 3, 0, 2, 0, -2, -2\
, 1, 3, 2, 3, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2\
, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, \
0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ]\
, [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0\
, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], roots\
typeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -11, -7, -15, -23, -21, -18, -14, -8, -\
6, -2 ], [ 12, 8, 15, 23, 21, 18, 14, 8, 6, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 14, 30, 47, 42, 36, 28, 16, 12, 4 ], [ -12, -7, -15, -23, -20, -1\
8, -14, -8, -6, -2 ], [ -12, -7, -15, -23, -21, -17, -14, -8, -6, -2 ], [ -24, -14, -30, -46, -42, -36, -27, -16, -12, -4 ], [ 48, 28, 60, 92, 84, 72, 56,\
 33, 24, 8 ], [ -24, -14, -30, -46, -42, -36, -28, -16, -11, -4 ], [ 24, 14, 30, 46, 42, 36, 28, 16, 12, 5 ] ], thegtilde := [ [ -33, -1, 17, 16, 0, -16, \
-14, 46, -14, 32, 0, 0, -48, 0, -32, -1, 33, 17, -7, -39, -33, -35, -19, -48, 14, 0 ], [ -23, 0, 12, 10, 1, -11, -10, 32, -10, 22, 0, 0, -34, 0, -23, -2, \
22, 12, -6, -28, -22, -25, -13, -32, 9, -1 ], [ -40, -1, 21, 19, 0, -19, -17, 55, -17, 38, 0, 0, -58, 0, -39, -2, 39, 20, -9, -47, -39, -42, -23, -57, 16,\
 1 ], [ -60, -1, 32, 28, 0, -29, -25, 83, -25, 58, 0, 0, -88, 0, -59, -3, 59, 30, -13, -71, -59, -64, -35, -89, 26, 2 ], [ -55, 0, 29, 26, 0, -27, -24, 78\
, -24, 54, 0, 0, -82, 0, -55, -3, 55, 29, -13, -67, -55, -60, -32, -80, 23, -1 ], [ -45, 0, 23, 22, -1, -21, -20, 64, -20, 44, 0, 0, -66, 0, -44, -1, 45, \
23, -11, -55, -45, -47, -25, -65, 19, -1 ], [ -29, 0, 14, 15, -1, -14, -12, 41, -13, 28, 0, 0, -42, 0, -28, 0, 29, 14, -6, -34, -29, -30, -16, -43, 14, 1 \
], [ -20, 0, 11, 9, 0, -10, -9, 30, -9, 20, 0, 0, -31, 0, -21, -1, 20, 11, -6, -26, -20, -22, -12, -30, 9, -1 ], [ -16, 0, 8, 8, 0, -8, -8, 24, -7, 16, 0,\
 0, -25, 0, -17, -1, 16, 8, -4, -20, -16, -17, -9, -22, 6, -2 ], [ -4, 0, 2, 2, 0, -2, -2, 6, -2, 5, 0, 0, -7, 0, -4, 0, 4, 2, -1, -6, -4, -5, -3, -6, 2, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 2, 2, 0, -2, -2, 6, -2, 4, 0, -1, -6, 0, -4, 0, 4, 2, -\
2, -4, -4, -4, -2, -4, 1, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0, -2, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 2, 2, 0, \
-2, -2, 6, -2, 4, 0, 0, -6, 0, -4, -1, 4, 2, -1, -5, -4, -4, -2, -4, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1,\
 -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 3, 0, -3, 0, -1, 2, 2, -6, 2, -4\
, 0, 0, 6, 0, 4, 1, -3, -3, 2, 6, 3, 5, 2, 5, -1, 1 ], [ -8, 0, 4, 4, 0, -4, -4, 12, -4, 8, 0, 0, -12, 0, -8, 0, 8, 4, -2, -10, -8, -8, -4, -9, 2, -2 ], [\
 -4, 0, 2, 2, 0, -2, -2, 6, -2, 4, 0, 0, -6, 0, -4, 0, 4, 2, -1, -5, -4, -4, -2, -4, 0, -1 ], [ -4, 0, 2, 2, 0, -2, -2, 6, -2, 4, 0, 0, -6, 0, -4, 0, 4, 2\
, -1, -5, -4, -4, -2, -4, 1, -2 ] ] ), rec( GramQ := [ [ -24, 2, 10, -20, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 2, -10, -2, -8, 0, -5, 1, -2, -\
3, 0, 0, 0, 1, -1, 0, -4, -2 ], [ 10, -2, -22, 6, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -20, -8, 6, -28, -4, -5, -7, -3, -1, 0, 0, -4, -5, -7\
, 2, 0, 0 ], [ -5, 0, 3, -4, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -5, -11, -5, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, 1, \
-6, -7, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -2, -3, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -3, 0, -1, -2, -2, 2, -2, -\
4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 0,\
 2, -4, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 1, 2, -5, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -1, 2, -7, -2, -2, 0, -2, 0, 0, \
0, -2, -2, -4, 0, 0, 0 ], [ 2, 0, -6, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2\
, -4, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 4, 0, 10, -6, -2, 0, 0, 0 ], [ 4, -8, 2, -8, 6, 2, 0, 0, 0 ], [ 0, 2, -4, 2, 0\
, 0, 0, 0, 0 ], [ 10, -8, 2, -20, 14, 4, 0, 0, 0 ], [ -6, 6, 0, 14, -12, -2, 0, 0, 0 ], [ -2, 2, 0, 4, -2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], \
[ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2\
, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [\
 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, 0, 1, 1, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, -2, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, \
0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 6, 2, \
5, -6, 0, 4, -2, 2, 1, -1, -7, -1, -7, -4, 7, 8, 0, -5, -8, -11, -5, -12, 1, 5 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0\
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1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
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, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, -1,\
 4, -3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, 0, 1, 1, 1, -2, -2 ], [ 1, -3, 2, 0, 1, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, -2, 1, 0, 2\
 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, 3, -8, 5, -1, 1, 0, 0, 0, -2, 0, -2, -2, -1, -2,\
 5, 3, 1, -3, -2, 1, 2, 3 ], [ 1, -1, 1, -1, -3, 6, -3, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0, 1, -4, -2, 0, 3, 1, -1, -1, -1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0\
, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 0 ], [ -1,\
 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, \
1, 0, -1, 1 ] ], r := [ 6, 3, 7, 11, 11, 10, 8, 6, 4, 2 ], rlifts := [ [ -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, -1, -2, -1, -2, \
0, 1 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0,\
 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 2, 2, 0 ], [ -1, 0, 1, 1, 0, 0, -1, 0, -1, -1, 1, 1, 1, -1, -2, -2, 0 ], [ 1, 0, -1, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 0, 2, 2, 0 ], [ -1, 0, 1, 1, 0, 0, \
-1, 0, -1, -1, 1, 1, 0, 0, -2, -2, 0 ], [ 1, 0, -1, -1, 0, 0, 1, 0, 1, 1, -1, 0, -1, 0, 2, 2, 0 ], [ -1, 0, 1, 1, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, -2, -2,\
 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, \
0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0,\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -5, -3, -7, -11,\
 -11, -10, -8, -6, -4, -2 ], [ 6, 4, 7, 11, 11, 10, 8, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 6, 14, 23, 22, 20, 16, 12, 8, 4 ], [ -6, -3, -7,\
 -11, -10, -10, -8, -6, -4, -2 ], [ -6, -3, -7, -11, -11, -9, -8, -6, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -9, -1, 9, 0, 8, -8, 2, -2, 2, 0, 0, 0, -8, 0, -8, -9, 9, 9, 5, -3, -9, -\
19, -11, -16, -2, 8 ], [ -6, 0, 6, -1, 6, -5, 1, -1, 1, 0, 0, 0, -6, 0, -6, -7, 5, 6, 2, -3, -5, -13, -7, -9, -2, 4 ], [ -11, -1, 11, 0, 9, -9, 2, -2, 2, \
0, 0, 0, -10, 0, -10, -11, 10, 10, 5, -4, -10, -22, -13, -18, -3, 10 ], [ -15, -1, 16, -1, 13, -13, 4, -4, 4, 0, 0, 0, -14, 0, -14, -16, 14, 14, 8, -5, -1\
4, -32, -19, -28, -3, 15 ], [ -14, 0, 15, -1, 13, -13, 3, -3, 3, 0, 0, 0, -14, 0, -14, -16, 14, 15, 7, -6, -14, -32, -18, -25, -4, 12 ], [ -13, 0, 13, 0, \
11, -11, 2, -2, 2, 0, 0, 0, -12, 0, -12, -13, 13, 13, 6, -6, -13, -27, -15, -23, -3, 11 ], [ -9, 0, 8, 1, 7, -8, 2, -1, 1, 0, 0, 0, -8, 0, -8, -8, 9, 8, 5\
, -3, -9, -18, -10, -17, 0, 9 ], [ -6, 0, 7, -1, 6, -6, 1, 0, 1, 0, 0, 0, -7, 0, -7, -7, 6, 7, 2, -4, -6, -14, -8, -12, -1, 5 ], [ -6, 0, 6, 0, 6, -6, 0, \
0, 1, 0, 0, 0, -7, 0, -7, -7, 6, 6, 3, -3, -6, -13, -7, -10, -2, 4 ], [ -2, 0, 2, 0, 2, -2, 0, 0, 0, 1, 0, 0, -3, 0, -2, -2, 2, 2, 1, -2, -2, -5, -3, -4, \
0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, -1, -2, 0, -2, -2, 2, 2, \
0, 0, -2, -4, -2, -2, -1, 1 ], [ 3, 0, -1, -2, -1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, -3, -1, -1, -1, 3, 3, 1, 3, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 2, 0, 2, -\
2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -3, 2, 2, 1, -1, -2, -4, -2, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
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, -3, -1, 1, 3, 4, 1, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ -4, 0, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 4, 4, 2, -2, -4, -8, -4, -5, -2, 2 ], [ -2, 0, 2,\
 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, 1, -1, -2, -4, -2, -2, -2, 1 ], [ -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, 1, -1, -2, \
-4, -2, -2, -1, 0 ] ] ), rec( GramQ := [ [ -24, -38, 10, -60, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -38, -96, 6, -133, -6, -12, -18, -5, 2, 4, \
-2, -8, -12, -14, 0, 0, 0 ], [ 10, 6, -22, 14, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -60, -133, 14, -192, -10, -12, -26, -6, 4, 4, -2, -12, -\
18, -20, 2, 4, 2 ], [ -5, -6, 3, -10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -12, -11, -12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ]\
, [ -8, -18, -6, -26, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 2, 0, 4, -2, \
-2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 4, 0, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -2, -2, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0,\
 0 ], [ -4, -8, 2, -12, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -12, 2, -18, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -14, 2, -20, \
-2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, 0, -6, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 0, -4, 4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, \
0, -6, -4 ], [ 4, 0, -4, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -12, -4, 0, 8, -12, 2, -4, 4, -2 ], [ -4, -8, 2, 2, -8, 2, 0, 0\
, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 8, 2, 2, -8, 8, 0, 4, -4, 2 ], [ -12, -8, 0, 8, -20, 4, -4, 4, -2 ], [ 2, 2, 0, 0, 4, -4, 2, 0, 0 ], [ -4, 0, 0, \
4, -4, 2, -8, 6, -2 ], [ 4, 0, 0, -4, 4, 0, 6, -8, 4 ], [ -2, 0, 0, 2, -2, 0, -2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0\
, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 1, 1, 0, 0, 0, -2, 0, -1, 0, 2, 1, 0, -2, -2, -3, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0\
, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], \
adjweyl := [ -13, -1, 6, 6, 1, -2, -4, 8, -6, 10, 1, -1, -11, -1, -7, 0, 11, 8, -2, -11, -12, -11, -5, -16, 3, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, 0, -3, 3, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0 ], [ 0, 0, 1, -\
1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 2, 0, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 1\
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bQperp := [ [ 0, 0, 2, -2, 0, 2, -2, 2, 0, -4, 0, 0, 1, 0, -1, -1, 0, 2, -3, -1, 0, 1, 1, 0, -2, 0 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, \
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 "A3" ], theg := [ [ -8, -5, -11, -17, -16, -14, -12, -8, -6, -2 ], [ 9, 6, 11, 17, 16, 14, 12, 8, 6, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 10, 22,\
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hegtilde := [ [ -27, -1, 14, 13, 0, 0, -11, 11, -11, 26, 0, 0, -26, 0, -13, -1, 27, 14, 1, -25, -27, -29, -16, -39, 4, 7 ], [ -19, 0, 10, 8, 1, 0, -8, 8, \
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, -4, -1, 0 ] ] ), rec( GramQ := [ [ -24, -35, 10, -57, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -35, -76, 29, -107, -9, 6, -3, -1, -2, 0, 2, -7, \
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, 10, 8 ], [ -5, -9, 3, -13, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 6, -11, 6, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -3, -\
6, -11, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -1, -3, -2, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4\
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-8, -2, 4, 4, 0, -8, 6 ], [ 6, -4, -2, -8, 6, 4, 0, -8, 6 ], [ -4, 4, 4, 6, -8, -2, 0, 8, -6 ], [ -4, 4, 4, 4, -2, -8, 2, 8, -6 ], [ 0, 0, 0, 0, 0, 2, -4,\
 2, 0 ], [ 8, -8, -8, -8, 8, 8, 2, -20, 14 ], [ -6, 6, 6, 6, -6, -6, 0, 14, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ \
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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 := [ -13, -1, 8, 4, 1, -6, 2, 10, -4, -2, 1, -1, -7, -1, -9, -2, 7, 6, -2, -5, -8, -7, -3, -12, 3, 9 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0\
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 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
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= [ [ -1, 1, 1, -1, 1, 0, -1, 1, -3, 4, 0, 0, -2, 0, 0, 0, 0, 1, -1, -4, 0, -2, -1, 1, 0, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0,\
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, 2, 3, 1, 0, 0, -3, -1, -1, -1, -1, 3, 0 ] ], r := [ 8, 4, 9, 15, 14, 12, 9, 6, 5, 3 ], rlifts := [ [ -2, 0, 2, 0, 0, -1, 1, 1, 0, -1, 0, 1, -2, 0, -2, -\
1, 2, 0, 1, -1, -1, -3, -2, -3, 0, 2 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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[ 2, 0, -2, -1, 0, 1, 1, 0, 1, 1, -1, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1,\
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 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3\
" ], theg := [ [ -7, -4, -9, -15, -14, -12, -9, -6, -5, -3 ], [ 8, 5, 9, 15, 14, 12, 9, 6, 5, 3 ], [ 8, 4, 10, 15, 14, 12, 9, 6, 5, 3 ], [ 8, 4, 9, 16, 14\
, 12, 9, 6, 5, 3 ], [ -8, -4, -9, -15, -13, -12, -9, -6, -5, -3 ], [ -8, -4, -9, -15, -14, -11, -9, -6, -5, -3 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, \
8, 18, 30, 28, 24, 18, 13, 10, 6 ], [ -8, -4, -9, -15, -14, -12, -9, -6, -4, -3 ], [ -8, -4, -9, -15, -14, -12, -9, -6, -5, -2 ] ], thegtilde := [ [ -23, \
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[ -38, -1, 29, 9, 0, -18, 12, 24, -6, -18, 0, 2, -19, 0, -29, -11, 19, 9, 2, -9, -19, -24, -14, -38, 5, 38 ], [ -37, 0, 28, 9, 0, -18, 11, 25, -7, -18, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 3, 1, 0, -2, 1, 3, -1, -2, 0, 0, -2, 0, -3, -2, 2, 1, 0, -1, -\
2, -2, -1, -2, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 -43, -216, -244, 6, 31, 38, 12, -2, -4, 6, 7, 12, 14, 10, 0, 3 ], [ -43, -22, -73, -65, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -216, -73, -294, -\
290, 14, 18, 40, 10, -4, -4, 4, 13, 20, 22, 2, -10, -5 ], [ -244, -65, -290, -308, 11, 29, 46, 13, -4, -4, 6, 11, 18, 20, 8, -6, -1 ], [ 6, 4, 14, 11, -4,\
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0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 8, -8, 10, 0, -4, -4, 12, -6 ], [ 8, -20, 18, -16, 0, 8, 8, -24, 12 ], [ -8, 18, -20, 18, 0, -8, -8, 24\
, -12 ], [ 10, -16, 18, -20, 2, 8, 8, -24, 12 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 8, -8, 8, 2, -8, -2, 12, -6 ], [ -4, 8, -8, 8, 0, -2, -8, 14, -6 ],\
 [ 12, -24, 24, -24, 0, 12, 14, -40, 20 ], [ -6, 12, -12, 12, 0, -6, -6, 20, -12 ] ], Sigma := [ [ -1, 2, -1, 1, -1, 0, -2, 0, -1, 0, 2, 1, 0, -1, -2, -3,\
 2 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1\
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eyl := [ -11, 5, -2, 6, 3, -6, 0, 12, -6, 6, 1, -1, -11, -1, -9, 0, 11, 8, -2, -9, -12, -11, -1, -14, 7, -1 ], embQ := [ [ 1, 0, 0, 2, -4, 1, 1, -3, 2, -1\
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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
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 embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -4, 8, 0, 0, -1, 0, 3\
, 3, 0, 0, 0, -3, 0, -1, -3, 1, 1, -1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 4, -8, 0, 0, 2, 0, -2, -2, 1, 1, 0, 4, -1, 1, 3, -1, -1, 0 ], [ -1, 0, 0, 1, -1, 0, 1,\
 -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, \
0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, -2, -1, 1, 0, \
-1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -5, 12, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, 1, 1, -\
6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 9, 5, 12, 17, 15, 13, 10, 6, 5, 2 ], rlifts := [ [ -1, 2, -1, 1, 0, -1, 0, 2, -1, 1, -1, \
0, -2, 0, -1, 0, 2, 1, 0, -1, -2, -2, 0, -3, 2, 0 ] ], rootsQ := [ [ 2, -1, 1, -2, 1, 0, 2, 0, 1, 0, -2, -1, 0, 1, 2, 3, -1 ], [ -2, 1, -1, 2, -1, 0, -2, \
0, -1, 0, 2, 1, 0, -1, -2, -3, 1 ], [ 2, -1, 1, -2, -1, 0, 2, 0, 2, 0, -2, -1, 0, 2, 2, 2, -1 ], [ -2, 1, -1, 2, 1, 0, -2, 0, -2, 0, 2, 1, 0, -2, -2, -2, \
1 ], [ 1, -2, 1, -1, 1, 0, 2, 0, 1, 0, -2, -1, 0, 1, 2, 3, -2 ], [ -1, 2, -1, 1, -1, 0, -2, 0, -1, 0, 2, 1, 0, -1, -2, -3, 2 ], [ 1, -2, 1, -1, -1, 0, 2, \
0, 2, 0, -2, -1, 0, 2, 2, 2, -2 ], [ -1, 2, -1, 1, 1, 0, -2, 0, -2, 0, 2, 1, 0, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -\
1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0,\
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0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1\
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1, 0, 2, -1, 1, -1, 0, -2, 0, -1, 0, 2, 1, 0, -1, -2, -2, 0, -1, 0, -1 ] ] ), rec( GramQ := [ [ -70, -31, -96, -99, 4, 14, 16, 6, -2, -2, 2, 7, 11, 12, 2,\
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ma := [ [ -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, -1, -2, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0,\
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 [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, 3, 2, 2, 1, -2, 0, 12, -6, 2, 1, -1, -7, -1, -7, 0, 7, 8, -6, -9, -8, -7, -1,\
 -12, 5, 1 ], embQ := [ [ 1, 0, 0, 1, -2, 0, 1, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 1, 1, -2, 2, 0, -2, 0, 2, -2, 0, 0, -1, 0, -2, -3, -1, 1, -1, -1, 1, -1, 0, 2, -\
3, -2 ], [ -1, -3, 2, 2, -3, 0, 2, 2, -6, 4, 0, 0, 1, 0, 3, 5, 2, 0, 0, -1, -2, 1, -1, -1, 3, 3 ], [ 2, 2, -3, -1, 2, 0, -1, -1, 3, -2, 0, 0, 0, 0, -1, -2\
, 0, 1, 0, 1, 0, -1, 1, 0, -1, -3 ], [ -3, 0, 0, 3, -3, 0, 3, 1, -5, 4, 0, 0, 0, 0, 2, 4, 1, -2, 1, -1, -1, 1, 0, -1, 4, 3 ], [ 3, -1, 1, -3, 1, 2, -3, -1\
, 5, -4, 0, 0, 1, 0, -1, -3, -2, 1, -2, 1, 2, 1, 0, 1, -4, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [\
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 -1, -1, -1, -1, -1, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 8, 4, 10, 15, 14, 11, 8, 5, 4,\
 2 ], rlifts := [ [ -1, 1, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, -1, -1, 0, -2, 1, 0 ] ], rootsQ := [ [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 0\
, -1, -1, 1, 2, 1, 2, -1 ], [ -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, -2, -1, -2, 1 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, -2, 1, 2, 1, 2, -1 ], [ -1,\
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, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -4, -10, -15, -14, -11, -8, -5, -4, -2 ], [ 16, 9, 20, 30, 28,\
 22, 16, 10, 8, 4 ], [ -8, -4, -9, -15, -14, -11, -8, -5, -4, -2 ], [ 16, 8, 20, 31, 28, 22, 16, 10, 8, 4 ], [ -16, -8, -20, -30, -27, -22, -16, -10, -8, \
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3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -11, 9, 1, 0, 0, 0, 2, 18, -8, 0, 0, 0, -10, 0, -10, -1, 11, 11, -9, -14, -11, -13, -3, -20,\
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 -2 ] ] ), rec( GramQ := [ [ -118, -33, -130, -149, 5, 24, 28, 10, -2, -5, 6, 6, 10, 12, 9, 0, 2 ], [ -33, -22, -63, -55, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -\
2, -4, -2 ], [ -130, -63, -208, -195, 13, 11, 30, 8, -4, -5, 4, 12, 18, 20, 1, -10, -6 ], [ -149, -55, -195, -204, 10, 22, 36, 11, -4, -5, 6, 10, 16, 18, \
7, -6, -2 ], [ 5, 4, 13, 10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 24, 0, 11, 22, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 28, 8, 3\
0, 36, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 10, 1, 8, 11, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4\
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, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 2, -4, 4, -4, -4, 0, 0, -6 ], [ 2, -8, 4, -4, 2, 2, 0, -2, 0 ], [ -4, 4, \
-8, 4, -4, -4, 0, 0, -6 ], [ 4, -4, 4, -8, 4, 2, 0, -2, 0 ], [ -4, 2, -4, 4, -8, -2, 0, 0, -6 ], [ -4, 2, -4, 2, -2, -8, 2, 0, -6 ], [ 0, 0, 0, 0, 0, 2, -\
4, 2, 0 ], [ 0, -2, 0, -2, 0, 0, 2, -4, -2 ], [ -6, 0, -6, 0, -6, -6, 0, -2, -12 ] ], Sigma := [ [ -1, 1, 0, 0, 0, 0, -2, 0, -1, 0, 1, 1, 0, -2, -2, -2, 1\
 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, \
-1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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l := [ -9, 3, 2, 2, 5, -6, 0, 8, -6, 10, 1, -1, -11, -1, -7, -2, 7, 8, -2, -11, -8, -13, -5, -12, 5, -1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 1, -2, 2, -2, 0,\
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1, 3, -4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, -2 ], [ 0, 0, 0, 2, -4, 1, 2, -3, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -5, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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Qperp := [ [ -2, 1, 1, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, -1, 0, 1, 1, -1, -1, -1, 0, 1, 0, 0, 1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0\
, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, -2, 0, 2, -2, 2, 0 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4\
, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, 0 ], [ 0, -1, 1, 0, -2, 2, 0, 2, -2, -2, 0, 0, 2, 0, 1, 2, 1, 1, -2, 0, -1, 2, 1, -2, 1, 2 ], [ -1, 0,\
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 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ -2, 0, 0, 2, -2, 0, 2, 2, -4, 0, 0, 0, 1, 0, \
1, 3, 2, 0, 0, 0, -2, 1, 1, -2, 3, 3 ] ], r := [ 8, 4, 10, 15, 14, 12, 9, 6, 4, 1 ], rlifts := [ [ -1, 1, 0, 0, 1, -1, 0, 1, -1, 2, 0, 0, -2, 0, -1, 0, 1,\
 1, 0, -2, -1, -2, -1, -2, 1, -1 ] ], rootsQ := [ [ 1, -1, 0, 0, 0, 0, 2, 0, 1, 1, -1, -1, 0, 2, 3, 2, -1 ], [ -1, 1, 0, 0, 0, 0, -2, 0, -1, -1, 1, 1, 0, \
-2, -3, -2, 1 ], [ 1, -1, 0, 0, 0, 0, 2, 0, 1, 0, -2, -1, 0, 2, 3, 2, -1 ], [ -1, 1, 0, 0, 0, 0, -2, 0, -1, 0, 2, 1, 0, -2, -3, -2, 1 ], [ 1, -1, 0, 0, 0,\
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, -1 ], [ -1, 1, 0, 0, 0, 0, -2, 0, -1, 0, 1, 1, 0, -2, -2, -2, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1,\
 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ \
1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0\
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0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ],\
 theg := [ [ -7, -4, -10, -15, -14, -12, -9, -6, -4, -1 ], [ 16, 9, 20, 30, 28, 24, 18, 12, 8, 2 ], [ -8, -4, -9, -15, -14, -12, -9, -6, -4, -1 ], [ 16, 8\
, 20, 31, 28, 24, 18, 12, 8, 2 ], [ -8, -4, -10, -15, -13, -12, -9, -6, -4, -1 ], [ -8, -4, -10, -15, -14, -11, -9, -6, -4, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0 ], [ 8, 4, 10, 15, 14, 12, 9, 7, 4, 1 ], [ -8, -4, -10, -15, -14, -12, -9, -6, -3, -1 ], [ 16, 8, 20, 30, 28, 24, 18, 12, 8, 3 ] ], thegtilde := [ \
[ -11, 9, 1, 0, 10, -10, 2, 8, -8, 20, 0, 0, -20, 0, -10, -6, 11, 11, 1, -19, -11, -28, -13, -20, 8, -5 ], [ -7, 6, 1, -1, 7, -6, 1, 5, -5, 12, 0, 0, -13,\
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9, -5 ], [ -19, 16, 3, -1, 17, -17, 4, 13, -13, 34, 0, 0, -35, 0, -18, -11, 19, 18, 2, -33, -18, -49, -23, -36, 14, -7 ], [ -17, 16, 2, -1, 16, -16, 3, 13\
, -13, 32, 0, 0, -33, 0, -17, -11, 17, 18, 1, -32, -17, -46, -21, -31, 12, -9 ], [ -15, 14, 1, 0, 13, -13, 2, 12, -12, 28, 0, 0, -28, 0, -14, -8, 15, 15, \
0, -28, -15, -38, -17, -27, 11, -8 ], [ -10, 9, 0, 1, 8, -9, 2, 8, -8, 18, 0, 0, -18, 0, -9, -5, 9, 9, 1, -17, -10, -24, -11, -19, 9, -3 ], [ -6, 6, 1, -1\
, 6, -6, 1, 6, -5, 12, 0, 0, -13, 0, -7, -4, 6, 7, -1, -13, -6, -17, -8, -12, 5, -4 ], [ -6, 6, 0, 0, 6, -6, 0, 6, -5, 12, 0, 0, -13, 0, -7, -4, 6, 6, 0, \
-12, -6, -16, -7, -10, 4, -5 ], [ -1, 1, 0, 0, 1, -1, 0, 1, -1, 3, 0, 0, -3, 0, -1, -1, 0, 1, 0, -3, -1, -3, -2, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 2, -2, 1, -1, -2, 2, 1, -3, 3, -4, 0, 0, 4, 0, 2, 1, -2, -3, 0, 4, 3, 4, 1, 2, -1, 2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1\
, 0, -1, 1, 1 ], [ -4, 4, 0, 0, 4, -4, 0, 4, -4, 8, 0, 0, -8, 0, -4, -2, 4, 4, 0, -8, -4, -10, -4, -5, 2, -4 ], [ -2, 2, 0, 0, 2, -2, 0, 2, -2, 4, 0, 0, -\
4, 0, -2, -1, 2, 2, 0, -4, -2, -5, -2, -2, 0, -2 ], [ -2, 2, 0, 0, 2, -2, 0, 2, -2, 4, 0, 0, -4, 0, -2, -1, 2, 2, 0, -4, -2, -5, -2, -2, 1, -3 ] ] ), rec(\
 GramQ := [ [ -140, -40, -163, -176, 5, 24, 26, 9, 0, 0, 2, 8, 12, 14, 2, 4, 6 ], [ -40, -22, -70, -62, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -16\
3, -70, -252, -233, 13, 11, 28, 7, -2, 0, 0, 14, 20, 22, -6, -6, -2 ], [ -176, -62, -233, -236, 10, 22, 34, 10, -2, 0, 2, 12, 18, 20, 0, -2, 2 ], [ 5, 4, \
13, 10, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 24, 0, 11, 22, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 26, 8, 28, 34, 0, -4, -12, 0,\
 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 9, 1, 7, 10, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, -2, -2, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 8, 4, 14, 12, -1, -1, 0, -1, 0,\
 0, 0, -2, -2, -2, 0, 0, 0 ], [ 12, 6, 20, 18, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 14, 6, 22, 20, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ]\
, [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 4, -4, -6, -2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -12, 4, -8, 8, -12, 2, -2, 2, 0 ], [ 4, -8, 6, -4, 4, 0, 2, -2, 0 ], [ -8, 6, -12, 8, -12, 2, -2, 2, 0 ]\
, [ 8, -4, 8, -8, 8, 0, 2, -2, 0 ], [ -12, 4, -12, 8, -20, 4, -2, 2, 0 ], [ 2, 0, 2, 0, 4, -4, 2, 0, 0 ], [ -2, 2, -2, 2, -2, 2, -4, 2, 0 ], [ 2, -2, 2, -\
2, 2, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, \
0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -2, 1, 0, \
1, 0, 0, -2, 0, -2, -1, 2, 1, 0, -1, -2, -3, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, \
0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -11, 3, 2, 4, 3, -2, -6\
, 10, 0, 2, 1, -1, -11, -1, -11, -4, 9, 8, -4, -9, -10, -9, -1, -14, 1, -1 ], embQ := [ [ 1, 0, 0, 1, -3, 0, 3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -5, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -4, 0, 5, -5, 3, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, -8, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 0, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -7, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 1, 0, 2, -3, 1, 2, -\
1, -1, -1, 0, 0, 0, 1, 0, 1, -1, -1, 2, -2, -2, 1, -1, -1, 1, -2, -1 ], [ 0, -3, 2, 1, -2, 0, -1, 3, -1, 0, 0, 0, 0, 0, 0, 2, 1, 0, -1, 0, -1, 2, 0, 0, 0,\
 1 ], [ 3, 1, -2, -2, 1, 2, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, -1, 0, 0, -1, 0, -1, 0, -2 ], [ -2, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 1, 0, -2\
, 0, 0, 0, 2, 1, 0, 1, 1 ], [ 3, -2, 2, -3, -1, 4, -1, -1, -1, 0, 0, 0, 3, 0, 3, 1, -1, 2, -3, -1, 1, 1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0,\
 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1 ], [ -1, 0, 0,\
 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, \
-1, 1 ] ], r := [ 8, 4, 10, 15, 14, 12, 10, 6, 4, 2 ], rlifts := [ [ -2, 1, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, -2, 0, -2, -1, 2, 1, 0, -1, -2, -2, -1, -3, 0, \
0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, \
0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1 ], [ 2, -1, 1, -2, 0, 0, 1, 0, 2, 0, -1, -1, 1, 1, 0, 2, 0 ], [ -2, 1, -1, 2, 0, 0, -1, 0, -2, 0, 1, 1, -1, -1, 0, -2, 0 ], [ 1, -1, 0, 0\
, 0, 0, 2, 0, 2, 1, -1, -1, 1, 2, 1, 2, 0 ], [ -1, 1, 0, 0, 0, 0, -2, 0, -2, -1, 1, 1, -1, -2, -1, -2, 0 ], [ 2, -1, 0, -1, 0, 0, 2, 0, 2, 1, -2, -1, 0, 1\
, 2, 3, 0 ], [ -2, 1, 0, 1, 0, 0, -2, 0, -2, -1, 2, 1, 0, -1, -2, -3, 0 ], [ 1, -1, -1, 1, 0, 0, 3, 0, 2, 2, -2, -1, 0, 2, 3, 3, 0 ], [ -1, 1, 1, -1, 0, 0\
, -3, 0, -2, -2, 2, 1, 0, -2, -3, -3, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1\
, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1\
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0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -4, -10, -\
15, -14, -12, -10, -6, -4, -2 ], [ 16, 9, 20, 30, 28, 24, 20, 12, 8, 4 ], [ -8, -4, -9, -15, -14, -12, -10, -6, -4, -2 ], [ 16, 8, 20, 31, 28, 24, 20, 12,\
 8, 4 ], [ -8, -4, -10, -15, -13, -12, -10, -6, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -16, -8, -20, -30, -28, -24, -19, -12, -8, -4 ], [ 16, 8, 20\
, 30, 28, 24, 20, 13, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -18, 10, 0, 7, 5, 0, -15, 15, 7, 0, 0\
, 0, -21, 0, -22, -11, 17, 12, -5, -15, -18, -18, -2, -27, -2, -5 ], [ -12, 7, 0, 4, 4, 0, -10, 10, 4, 0, 0, 0, -14, 0, -15, -8, 10, 8, -4, -11, -11, -12,\
 -1, -16, -2, -4 ], [ -22, 12, 1, 8, 6, 0, -18, 18, 8, 0, 0, 0, -26, 0, -27, -14, 20, 14, -6, -19, -21, -22, -3, -32, -3, -5 ], [ -32, 18, 0, 13, 8, 0, -2\
6, 26, 12, 0, 0, 0, -36, 0, -39, -19, 28, 20, -9, -26, -31, -30, -3, -48, -3, -6 ], [ -29, 18, 0, 11, 8, 0, -25, 25, 11, 0, 0, 0, -35, 0, -37, -19, 27, 20\
, -9, -26, -29, -30, -3, -43, -4, -9 ], [ -24, 15, 0, 9, 6, 1, -21, 21, 9, 0, 0, 0, -29, 0, -30, -15, 23, 16, -8, -22, -24, -24, -2, -36, -3, -8 ], [ -16,\
 10, 0, 6, 4, 0, -13, 14, 6, 0, 0, 0, -20, 0, -20, -10, 16, 10, -4, -14, -16, -17, -2, -26, 0, -4 ], [ -11, 7, 0, 4, 3, 0, -10, 11, 4, 0, 0, 0, -14, 0, -1\
5, -7, 10, 8, -5, -11, -11, -11, -1, -17, -1, -4 ], [ -9, 6, 0, 3, 3, 0, -9, 9, 4, 0, 0, 0, -13, 0, -13, -7, 9, 6, -3, -9, -9, -10, -1, -13, -2, -5 ], [ -\
3, 2, 0, 1, 1, 0, -3, 3, 1, 1, 0, 0, -5, 0, -4, -2, 3, 2, -1, -4, -3, -4, -1, -5, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ -3, 2, 0, 1, 1, 0, -3, 3, 1, 0, 0, -1, -4, 0, -4, -2, 3, 2, -1, -3, -3, -3, 0, -3, -1, -2 ], [ 2, -1, 0, -1, 0, 0, 1, -1, -1, 0, 0, \
0, 2, 0, 2, 1, -3, 0, -1, 1, 2, 2, 0, 2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 2, 0, 1, 1, 0, -3, 3, 1, 0, 0, 0, -4, 0, -4, -3, 3, 2, -1, -3, -3, -3, 0, -3, -1, -2 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 3, 0, 2, 1, -4, -2, 0, 2, 2, 3, 0, 1, 1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, -1, 0, 2, -2, 0, 0, 0, 0, 1, 0, 2, 1, 0, -2, 2, 2, 1, 1, -1, 1, 1, 1 ], [ -6, 4, 0, 2, 2, 0, -6, 6\
, 2, 0, 0, 0, -8, 0, -8, -4, 6, 4, -2, -6, -6, -6, 0, -7, -2, -4 ], [ -3, 2, 0, 1, 1, 0, -3, 3, 1, 0, 0, 0, -4, 0, -4, -2, 3, 2, -1, -3, -3, -3, 0, -3, -2\
, -2 ], [ -3, 2, 0, 1, 1, 0, -3, 3, 1, 0, 0, 0, -4, 0, -4, -2, 3, 2, -1, -3, -3, -3, 0, -3, -1, -3 ] ] ), rec( GramQ := [ [ -102, -39, -138, -139, 5, 15, \
19, 6, -2, -1, 1, 8, 12, 14, 0, 2, 2 ], [ -39, -22, -69, -61, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -138, -69, -240, -209, 13, 2, 21, 4, -4, -1, \
-1, 14, 20, 22, -8, -8, -6 ], [ -139, -61, -209, -200, 10, 13, 27, 7, -4, -1, 1, 12, 18, 20, -2, -4, -2 ], [ 5, 4, 13, 10, -4, 0, 0, -2, -2, 0, 0, -1, 0, \
-2, 0, 3, 2 ], [ 15, 0, 2, 13, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 19, 8, 21, 27, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 6, 1,\
 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -1, 0, -1, -1, 0, 2, 2, 0, 0, -4,\
 2, 0, 0, 0, 2, 0, 0 ], [ 1, 0, -1, 1, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 8, 4, 14, 12, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 12, \
6, 20, 18, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 14, 6, 22, 20, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 0, -2, -8, -2, 0, -4, -2, -2, 0,\
 2, -2, 0, 0, 0, -4, 0, 0 ], [ 2, -4, -8, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 2, -2, -6, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], G\
ramQperp := [ [ -12, 4, -8, 6, -8, 2, -12, 4, -2 ], [ 4, -8, 6, -4, 4, 0, 4, -2, 2 ], [ -8, 6, -12, 6, -8, 2, -12, 4, -2 ], [ 6, -4, 6, -8, 6, 0, 4, -2, 2\
 ], [ -8, 4, -8, 6, -12, 4, -12, 4, -2 ], [ 2, 0, 2, 0, 4, -4, 4, 0, 0 ], [ -12, 4, -12, 4, -12, 4, -20, 6, -2 ], [ 4, -2, 4, -2, 4, 0, 6, -4, 2 ], [ -2, \
2, -2, 2, -2, 0, -2, 2, -4 ] ], Sigma := [ [ -2, 1, 0, 1, 0, 0, -1, 0, -1, 0, 2, 1, 0, -1, -1, -3, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, \
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 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, 3, 2, 6, 1, -2, 0, 8, -6, 2, 1, -1, -7, -1\
, -7, 0, 11, 8, -2, -7, -12, -9, -1, -16, 5, 5 ], embQ := [ [ 1, 0, 0, 1, -3, 0, 2, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 1 ], [ 0, 1, 0\
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-2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 2, -5, 1, 3, -2, 0, 0, -2, 0, \
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tstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -7, -4, -10, -15, -14, -12, -10, -7, \
-6, -3 ], [ 16, 9, 20, 30, 28, 24, 20, 14, 12, 6 ], [ -8, -4, -9, -15, -14, -12, -10, -7, -6, -3 ], [ 16, 8, 20, 31, 28, 24, 20, 14, 12, 6 ], [ -8, -4, -1\
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, 6 ], [ -16, -8, -20, -30, -28, -24, -20, -14, -11, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -25, 11, 1, 12, 0, 0, 2, 10, -10, 0, 0, 0,\
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8, -16, -2, -27, 8, 8 ], [ -16, 8, 0, 8, 0, 0, 0, 8, -7, 0, 0, 0, -9, 0, -9, -1, 16, 8, 0, -8, -16, -13, -1, -22, 6, 6 ], [ -6, 3, 0, 3, 0, 0, 0, 3, -3, 1\
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1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
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1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0 ], [ 3, -2, -1, 0, -1, 0, 0, -2, 2, 0, 0, 0, 2, 0, 2, 1, -3, -3, 1, 3, 3, 4, 0, 5, -1, -1 ], [ -8, 4, 0, 4, 0, 0, 0, 4, -4, 0, 0, 0, -4, 0, -4, 0, 8, 4\
, 0, -4, -8, -6, 0, -9, 2, 2 ], [ -4, 2, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, -2, 0, 4, 2, 0, -2, -4, -3, 0, -4, 0, 1 ], [ -4, 2, 0, 2, 0, 0, 0, 2, -2, 0\
, 0, 0, -2, 0, -2, 0, 4, 2, 0, -2, -4, -3, 0, -4, 1, 0 ] ] ), rec( GramQ := [ [ -140, -52, -197, -192, 11, 11, 25, 8, -2, 0, 2, 10, 14, 16, 0, -8, -3 ], [\
 -52, -22, -82, -74, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -197, -82, -320, -283, 19, -2, 27, 6, -4, 0, 0, 16, 22, 24, -8, -18, -11 ], [ -192, -7\
4, -283, -268, 16, 9, 33, 9, -4, 0, 2, 14, 20, 22, -2, -14, -7 ], [ 11, 4, 19, 16, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 11, 0, -2, 9, 0, -12, -\
4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 25, 8, 27, 33, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 8, 1, 6, 9, -2, -4, 0, -4, -2, 0, -1, -1, 0, \
-2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2\
, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 10, 4, 16, 14, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 14, 6, 22, 20, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2\
, 0, 0, 0 ], [ 16, 6, 24, 22, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 0, -2, -8, -2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -8, -4, -18,\
 -14, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -3, -2, -11, -7, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -20, 2, 4, 0, 0, 0, 0,\
 0, 0 ], [ 2, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, \
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0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
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 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2\
, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -11, 5, 2, 2, 3, -2, 0, 4, -2, 2, 1, -1, -7, -1, -7, -4, 3, 4, -2, -7, -4, -7, -1, -6, 1, 1 ], embQ := [ [ 1, 0, 0, 2, \
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"A1", "A3" ], theg := [ [ -3, -1, -4, -7, -6, -5, -4, -3, -2, -1 ], [ 8, 3, 8, 14, 12, 10, 8, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0\
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[ -3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 1 ] ] ), rec( GramQ := [ [ -326, -79, -424, -407, 15, 14, 36, 9, -6, -\
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, [ -18, 8, 0, -10, -18, 0, -18, 2, -28 ] ], Sigma := [ [ -2, 1, 1, 0, 0, 0, -3, 0, -1, 0, 2, 0, 0, -3, -2, -3, 2 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, \
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:= [ 10, 5, 12, 19, 17, 14, 11, 7, 6, 2 ], rlifts := [ [ -2, 1, 1, 0, 0, 0, 0, 2, -2, 2, 0, 0, -3, 0, -1, 0, 2, 0, 0, -3, -1, -2, -1, -3, 2, 0 ] ], rootsQ\
 := [ [ 2, -1, 0, -1, 0, 0, 2, 0, 1, -1, -1, 0, 1, 3, 0, 2, -2 ], [ -2, 1, 0, 1, 0, 0, -2, 0, -1, 1, 1, 0, -1, -3, 0, -2, 2 ], [ 2, -1, -1, 0, 0, 0, 3, 0,\
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[ -3, 1, 0, 2, 0, 0, -1, 0, -1, 1, 1, 1, -1, -2, -1, -2, 1 ], [ 3, -1, -1, -1, 0, 0, 2, 0, 1, 0, -2, -1, 0, 2, 3, 3, -1 ], [ -3, 1, 1, 1, 0, 0, -2, 0, -1,\
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1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, \
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 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ -9, -5, -12, -19, -17, -14\
, -11, -7, -6, -2 ], [ 20, 11, 24, 38, 34, 28, 22, 14, 12, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 5, 12, 20, 17, 14, 11, 7, 6, 2 ], [ -10, -5, -12, \
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, 6 ], [ -30, -15, -36, -57, -51, -42, -33, -21, -17, -6 ], [ 20, 10, 24, 38, 34, 28, 22, 14, 12, 5 ] ], thegtilde := [ [ -35, 13, 7, 14, -6, 0, 0, 28, -2\
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 ], [ -28, 11, 5, 12, -6, 0, 1, 22, -22, 22, 0, 0, -22, 0, -11, 6, 17, 5, -5, -27, -17, -17, -6, -28, 17, 6 ], [ -22, 9, 5, 8, -4, 0, 0, 19, -18, 18, 0, 0\
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8, 10, 2 ], [ -5, 2, 1, 2, -1, 0, 0, 4, -4, 5, 0, 0, -5, 0, -2, 1, 3, 1, -1, -6, -3, -4, -2, -5, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
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4, 2, 4, -2, 0, 0, 8, -8, 8, 0, 0, -8, 0, -4, 2, 6, 2, -2, -10, -6, -6, -2, -7, 4, 0 ], [ -5, 2, 1, 2, -1, 0, 0, 4, -4, 4, 0, 0, -4, 0, -2, 1, 3, 1, -1, -\
5, -3, -3, -1, -3, 1, 0 ], [ -5, 2, 1, 2, -1, 0, 0, 4, -4, 4, 0, 0, -4, 0, -2, 1, 3, 1, -1, -5, -3, -3, -1, -3, 2, -1 ] ] ), rec( GramQ := [ [ -32, -23, -\
57, -55, 4, 4, 11, 3, -4, -2, 2, 5, 8, 8, 2, -4, -2 ], [ -23, -22, -53, -45, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -57, -53, -148, -114, 12, -9, \
13, 1, -6, -2, 0, 11, 16, 16, -6, -14, -10 ], [ -55, -45, -114, -102, 9, 2, 19, 4, -6, -2, 2, 9, 14, 14, 0, -10, -6 ], [ 4, 4, 12, 9, -4, 0, 0, -2, -2, 0,\
 0, -1, 0, -2, 0, 3, 2 ], [ 4, 0, -9, 2, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 11, 8, 13, 19, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 \
], [ 3, 1, 1, 4, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -4, -2, -6, -6, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 0, -2, -2, 0, 2, 2,\
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 -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 4, 0, -4, 0, 0, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 4, 2, -8, 2, 4, 0, 0, -2 ], \
[ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -4, 0, 4, 2, -8, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 2, 0, -2, 0, 2, 0, 2\
, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0,\
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, [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0\
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 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -3, -5, 4, 2, 3, -6, 0, 4, 2, -2, 1, -1, -3, -1, -5, -2, 5, 6, 0, 1, -\
6, -5, -3, -6, -1, 3 ], embQ := [ [ 1, 0, 0, 1, -1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, \
-2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
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-1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0, -3, -2, 0, \
2, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, \
-1, 0, 1, 1, 1, -1, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 2, 2, 3, 4, 4, 4, 3, \
2, 1, 1 ], rlifts := [ [ 0, -1, 0, 1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 1, -1, -1, -1, -1, -1, 1 ] ], rootsQ := [ [ 1, 1, 0, -1, 0, 0, 0, 0,\
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2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -2, -\
1, 0, 0 ], [ 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0 ], [ 1, -1, 1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0 ], [ -1, 1, -1, 1, 0, 1, 0, 0,\
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, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -4, -4, -3, -2, \
-1, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 5, 4, 4, 3, 2, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -4, -4, -3, -3, -2, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 2, 3, 4, 4, 4, 3, 2, 2, 1 ], [ -2, -2, -3, -4, -4, -4, -3, -2, -1, 0 ] ], thegt\
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0, -3, -2, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, -2, 0, \
-1, -1, 1, -1, 1, -2, 1, -3, -1, 1, -2, -2 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, \
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] ] ), rec( GramQ := [ [ -22, 4, -6, -16, 0, 1, 0, 2, 0, 4, 0, -1, -2, -2, 2, -2, 1 ], [ 4, -22, -26, -18, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ \
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, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 1, 0, -12, -1, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 0, 8, 2, 8, 0, -4, -12, 0, 2, 2, -2, 0, -2\
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, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -1, 4, 5, 3, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2\
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0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 8, -4, -4, -4, 12, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 8, 2, -20, 10, 8, \
8, -24, 12 ], [ 0, -4, 0, 10, -8, -2, -4, 12, -6 ], [ 0, -4, 0, 8, -2, -8, -2, 12, -6 ], [ 0, -4, 0, 8, -4, -2, -8, 14, -6 ], [ 0, 12, 0, -24, 12, 12, 14,\
 -40, 20 ], [ 0, -6, 0, 12, -6, -6, -6, 20, -12 ] ], Sigma := [ [ 0, -1, 1, 0, -1, 0, -1, 0, 0, 1, 2, 1, 0, 0, -1, -3, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, \
0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
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, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -7, 6, 6, -1, -6, 0, 12\
, -6, 6, 1, -1, -7, -1, -5, 4, 11, 8, -2, -5, -12, -7, -5, -14, 5, 5 ], embQ := [ [ 1, 0, 0, 2, -2, -1, -1, 3, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0,\
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0, 0, 0, 0, -3, 0, -2, 0, 0, -2 ], [ 0, 0, 0, 3, -3, -1, 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
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, [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1,\
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-1, 1, 0, 1, -3, -5, 12, 0, 0, -2, 0, 4, 2, -1, 0, 1, -5, 1, -4, -4, 1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, \
2, -1, 0, 3 ] ], r := [ 8, 6, 11, 16, 15, 13, 10, 6, 5, 2 ], rlifts := [ [ 0, -1, 1, 1, -1, -1, 0, 2, -1, 1, -1, 0, -1, 0, 0, 1, 2, 1, 0, 0, -2, -1, -1, -\
3, 1, 2 ] ], rootsQ := [ [ -1, -2, 1, 1, 1, 0, -1, 0, -1, 1, 2, 1, 0, -1, -1, -2, 1 ], [ 1, 2, -1, -1, -1, 0, 1, 0, 1, -1, -2, -1, 0, 1, 1, 2, -1 ], [ 0, \
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, 1, 0, 0, -1, -3, 1 ], [ 1, 2, -1, -1, 1, 0, 1, 0, 0, -1, -2, -1, 0, 0, 1, 3, -1 ], [ 0, -1, 1, 0, -1, 0, -1, 0, 0, 1, 2, 1, 0, 0, -1, -3, 1 ], [ 0, 1, -\
1, 0, 1, 0, 1, 0, 0, -1, -2, -1, 0, 0, 1, 3, -1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -\
1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0,\
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 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -11, -16, -15, -13, -10, -6, -5, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 12, 22, 33, 30, 26, 20, 12, 10, 4 ], [\
 -8, -6, -11, -16, -14, -13, -10, -6, -5, -2 ], [ -8, -6, -11, -16, -15, -12, -10, -6, -5, -2 ], [ -8, -6, -11, -16, -15, -13, -9, -6, -5, -2 ], [ 24, 18,\
 33, 48, 45, 39, 30, 19, 15, 6 ], [ -16, -12, -22, -32, -30, -26, -20, -12, -9, -4 ], [ 8, 6, 11, 16, 15, 13, 10, 6, 5, 3 ] ], thegtilde := [ [ -6, -17, 1\
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 "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -7, -6, -4, -2, -1, 0 ], [ 4, 3, 6,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1\
, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -52, 16, -2, -30,\
 -6, 14, 1, 3, 2, 4, 0, -3, -4, -4, 4, 10, 10 ], [ 16, -22, -14, -6, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -2, -14, -18, -14, 2, 1, 3, 1, 0, 4, -\
2, 3, 4, 4, -4, 0, 2 ], [ -30, -6, -14, -32, -1, 12, 9, 4, 0, 4, 0, 1, 2, 2, 2, 4, 6 ], [ -6, 4, 2, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 14\
, 0, 1, 12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 1, 8, 3, 9, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 3, 1, 1, 4, -2, -4, 0, -4, \
-2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0,\
 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -3, 4, 3, 1, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -4, 6, 4, 2, 0, 0, -2, 0, 2, 0, 0\
, -2, -4, -2, 0, 0, 0 ], [ -4, 6, 4, 2, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 4, -2, -4, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 10,\
 -4, 0, 4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 10, -2, 2, 6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0\
, 0, 0 ], [ 0, -8, 6, 0, 0, -4, 4, 4, -6 ], [ 0, 6, -8, 2, 0, 4, -4, -4, 6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -4, 4, \
0, 2, -8, 6, 4, -6 ], [ 0, 4, -4, 0, 0, 6, -8, -2, 6 ], [ 0, 4, -4, 0, 0, 4, -2, -8, 8 ], [ 0, -6, 6, 0, 0, -6, 6, 8, -12 ] ], Sigma := [ [ 0, -1, 1, 0, 0\
, 1, -1, 0, 0, 1, 1, -1, 1, -1, -1, -1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, \
0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -5, 6, 4, -1, -6, 6, 6, -8, 6, 1, -1, -3, -1, -1, 4, 5, 4, 0, -3, -6, -5, -5, -6, 5, 7 ], embQ := [ [ \
1, 0, 0, 1, -1, -1, 0, 2, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
-2, 0, 0, -1 ], [ 0, 0, 1, 1, -2, -1, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 2 ], [ 0, 0, 0, 2, -2, -1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, -1, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -\
1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 1, -2, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, \
-3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, \
-2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0,\
 0, -2, 0, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, 0, -2 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0\
, 1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 4, 3, 5, 8, 7, 6, 4, 3, 3, 1 ], rlifts := [ [ 0, -1, 1, 0, 0, -1, 1\
, 1, -2, 1, 0, 1, -1, 0, 0, 1, 1, -1, 1, -1, 0, -1, -1, -1, 1, 1 ] ], rootsQ := [ [ -1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, -2, -1, 0 ], [ 1, 1, -1, -\
1, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, -1, 1, 1, 0, -1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1 ], [ 1, 1, -1, -1, 0, 1, -1, 0, -1, -1, 0, -1, 0, -\
1, 0, 0, -1 ], [ 0, -1, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 1, -1, -1, -1, 1 ], [ 0, 1, -1, 0, 0, -1, 1, 0, 0, -1, -1, 1, -1, 1, 1, 1, -1 ], [ 0, -1, 1, 0, 0,\
 -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2 ], [ 0, 1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, -2 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1\
 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1,\
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 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, \
1, 0, 1, 0, -2, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -7, -6, -4, -3, -3, -1 ], [ 4, 3, 6, 8, 7, 6, 4, 3, 3, 1 ], \
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -4, -3, -5, -8, -7, -5, -4, -3, -3, -1 ], [ 4, 3, 5, 8, 7, 6, 5, 3, 3, 1 ], [ 4, 3, \
5, 8, 7, 6, 4, 4, 3, 1 ], [ -8, -6, -10, -16, -14, -12, -8, -6, -5, -2 ], [ 4, 3, 5, 8, 7, 6, 4, 3, 3, 2 ] ], thegtilde := [ [ -3, -6, 6, 2, -2, -5, 9, 1,\
 -6, 5, 0, -1, 0, 0, 3, 4, 3, 1, 3, 1, -3, -4, -7, -2, 4, 7 ], [ -3, -4, 5, 1, -1, -4, 7, 1, -5, 4, 0, 0, -1, 0, 1, 2, 2, 1, 2, -1, -2, -5, -6, -1, 2, 5 ]\
, [ -5, -7, 8, 3, -3, -6, 11, 1, -7, 6, 0, 0, -1, 0, 2, 4, 4, 1, 4, 0, -4, -7, -10, -3, 3, 10 ], [ -6, -11, 13, 3, -4, -10, 18, 2, -12, 10, 0, -2, -1, 0, \
5, 7, 5, 1, 6, 1, -5, -8, -14, -6, 9, 16 ], [ -5, -9, 11, 3, -4, -9, 16, 2, -11, 9, 0, -1, -1, 0, 4, 6, 5, 2, 5, 0, -5, -9, -13, -3, 6, 12 ], [ -4, -7, 8,\
 3, -4, -6, 12, 2, -9, 7, 0, -1, 0, 0, 4, 6, 4, 1, 3, 0, -4, -5, -9, -2, 5, 9 ], [ -3, -4, 4, 3, -3, -4, 8, 1, -5, 4, 0, 0, 0, 0, 2, 4, 3, 0, 3, 1, -3, -4\
, -6, -3, 4, 7 ], [ -2, -4, 5, 1, -2, -4, 7, 2, -5, 4, 0, 0, -1, 0, 1, 3, 2, 1, 1, -1, -2, -4, -6, -2, 3, 5 ], [ -2, -3, 3, 2, -2, -3, 5, 1, -3, 3, 0, 1, \
-1, 0, 0, 2, 2, 0, 2, 0, -2, -4, -5, 0, 0, 3 ], [ -1, -1, 1, 1, -1, -1, 2, 0, -1, 2, 0, 1, -1, 0, 0, 1, 1, 0, 1, -1, -1, -3, -3, -1, 0, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, -3, -2, 1, -3,\
 0 ], [ 0, -1, 2, -1, 0, -1, 2, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, -3, -3, -2, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 0, -1, 2, 0, -1, 1, 0, -1, 0, 0, 1, 0, -2, -1, 0, 0, 1, 1, -1, -2, 3, 3 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 1, -2, 2, -1, 1, -1, -1, 2, -1, 0, 1, 0, 0, -1, 0, 1, -1, 1, 1, \
-1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -66, 23, -5\
, -39, -6, 14, 3, 4, 0, -1, 4, -5, -6, -6, 11, 6, 6 ], [ 23, -22, -7, 1, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -5, -7, -10, -12, 2, 1, 5, 2, -2, \
-1, 2, 1, 2, 2, 3, -4, -2 ], [ -39, 1, -12, -36, -1, 12, 11, 5, -2, -1, 4, -1, 0, 0, 9, 0, 2 ], [ -6, 4, 2, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2\
 ], [ 14, 0, 1, 12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 3, 8, 5, 11, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 4, 1, 2, 5, -2, -4\
, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, -2, -2, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -1, 0, -1, -1, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2\
, 0, 0 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -5, 4, 1, -1, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 6, 2, 0, 0, 0, \
-2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, 0, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 11, -2, 3, 9, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4,\
 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0,\
 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, 0, 0, 0, -4, 8, -6 ], [ 0, 6, -8, 2, 0, 0, 4, -8, 6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 4, 0, 0, 2, -8, 10, -6 ], [ 0, 8, -8, 0, 0, 0, 10, -20, 14 ], [ 0, -6, 6, 0, 0, 0, -6, 14, -12 ] ], Sigma := [ [\
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1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0,\
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1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -7, -6, -5, -3, -3, -2 ], [ 4, 3, 6, 8, 7, 6, 5, 3\
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0, -4, 15 ], [ -9, -8, 9, 8, -9, 1, 2, 6, 2, -8, 0, 0, 0, 0, -4, 3, 9, 1, 0, 4, -9, 1, -3, -7, -3, 11 ], [ -6, -5, 5, 6, -6, 0, 2, 4, 1, -5, 0, 0, 0, -1, \
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-2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 2, 0, 0\
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 1, -1, 1, -1, -4, 1, 5 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 1, 2, -3, 0, 1, 0, 0, -2, 0, 2, 0, 0, 0, \
0, 1, 0, -1, -1, 1, 0, 1, 0, 0, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
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mQ := [ [ -44, 25, 3, -15, -7, 4, -9, 0, 0, 2, 0, -4, -5, -6, 4, 8, 6 ], [ 25, -22, -5, 3, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 3, -5, -16, -2, \
1, -9, -7, -2, -2, 2, -2, 2, 3, 2, -4, -2, -2 ], [ -15, 3, -2, -10, -2, 2, -1, 1, -2, 2, 0, 0, 1, 0, 2, 2, 2 ], [ -7, 4, 1, -2, -4, 0, 0, -2, -2, 0, 0, -1\
, 0, -2, 0, 3, 2 ], [ 4, 0, -9, 2, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -9, 8, -7, -1, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 0\
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, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 4, 2, 0, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -5, \
6, 3, 1, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, 0, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 4, -2, -4, 2, 0, -4, -2, -2, 0, 2, -\
2, 0, 0, 0, -4, 0, 0 ], [ 8, -4, -2, 2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQper\
p := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, 0, 4, -4, -4, 4, -2 ], [ 0, 6, -8, 2, -4, 4, 4, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 4, -4, 2,\
 -8, 6, 4, -4, 2 ], [ 0, -4, 4, 0, 6, -8, -2, 4, -2 ], [ 0, -4, 4, 0, 4, -2, -8, 6, -2 ], [ 0, 4, -4, 0, -4, 4, 6, -8, 4 ], [ 0, -2, 2, 0, 2, -2, -2, 4, -\
4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0\
, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, -1, 1, 1, 0, 0, -1, 0, 0, 0, 1, -\
1, 2, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0\
, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -5, 6, 6, 1, -6, 0, 4, -2, 6, 1, -1, -7, -1, -5, 0, 7, 4, 2, -3, -8,\
 -7, -5, -8, 1, 5 ], embQ := [ [ 1, 0, 0, 1, 0, -1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, -1\
, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
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ifts := [ [ -1, -1, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, -1, 2, 0, -1, -1, -1, -1, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, \
0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, \
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, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -7, -7, -6, -4, -3, -1 ], [ \
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lde := [ [ -7, -7, 7, 6, 0, -6, 2, -2, 2, 6, 0, 0, -6, 0, -3, -1, 7, 1, 7, 1, -7, -9, -9, -6, -2, 6 ], [ -6, -5, 6, 4, 1, -5, 1, -1, 1, 5, 0, 0, -6, 0, -3\
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, [ 1, 2, -3, 0, -1, 2, 0, 0, 0, -2, 0, 0, 2, 0, 1, 1, -1, -1, -1, 1, 1, 3, 2, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -27, -17, -32, -43, 3, 8, 15, 4, -2, 0, 2, 2, 4, 4, 4, -4, -1 ], [ -70, -9, -43, -76, 0, 19, 21, 7, -2, 0, 4, 0, 2, 2\
, 10, 0, 3 ], [ -5, 4, 3, 0, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 21, 0, 8, 19, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 13, 8, 15\
, 21, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 6, 1, 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, -2, -2, -2, -2, -2, 2, -2, -4, 0,\
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 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 10, -2, -2, 0, 0, 0, 0 ], [ 0, 10, -20, 6, 4, 0, 0,\
 0, 0 ], [ 2, -2, 6, -4, 0, 0, 0, 0, 0 ], [ 0, -2, 4, 0, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0\
, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
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, 2, 1, -1, -3, -1, -3, 0, 3, 4, -2, -3, -4, -3, -5, -6, -1, 7 ], embQ := [ [ 1, 0, 0, 2, -2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 4 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0\
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, -1, -2, -1, 4, -2, 2, -2, 0, 0, 0, 2, 0, 2, 2, 1, 3, -4, -2, -1, 1, 1, -3, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1\
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0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] \
], r := [ 3, 2, 3, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2 ] ], rootsQ := [ \
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, GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0\
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0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -3, -2, -4, -6, -5, -4, -2, -1, -1, 0 ] ], thegtilde := [ [ -1, -1, 1, 0, 0, -3, 5, 1, 2, -3, 1, 0, 0, 0, -2, -1, 1,\
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5 ], [ -1, 0, 2, -1, 0, -5, 8, 2, 3, -5, 3, 0, -1, 0, -5, -3, 1, 2, 1, 1, -1, -6, -5, 1, 0, 0 ], [ -1, 0, 1, 0, -1, -3, 6, 2, 2, -4, 2, 0, 0, 0, -3, -1, 1\
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0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, -3 ] ] ), rec( GramQ := [ [ -20, 20, 35, -34, 2, 7, 10, 2, -1, -4, 2, 3, 5, 5, 2, 0, 0 ], [ \
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 ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1,\
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, 0, 2, 0, -1, 0, 1, 0, 0, 3, -1, 2, 2, -1, 0, 3 ] ], r := [ 6, 4, 8, 12, 10, 8, 6, 3, 3, 1 ], rlifts := [ [ -1, 0, 0, 1, -1, 0, 0, 2, -1, 1, 0, 0, -1, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], the\
g := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
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 "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0\
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0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, 22, 10, 4, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 22, -22, -8, -2, 4, 0, 8, 1, -\
2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 10, -8, -22, -4, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ 4, -2, -4, -6, 2, -3, 1, 0, 0, -2, 1, 0, 0, 0, 1, -4\
, -4 ], [ -5, 4, 3, 2, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, -3, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, 8, -6, 1, \
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 -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ],\
 [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 6, 2, -2 ], [ 0, 0, 0, 0, 0, 6, -8, 0, 2 ], [ 0, 0, 0, 0, 0, 2, 0, -\
4, 2 ], [ 0, 0, 0, 0, 0, -2, 2, 2, -4 ] ], Sigma := [ [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, -1, 2, 2, 1, 2, -4, 0, 2, 2, 1, -1, -3\
, -1, -3, -2, 3, 4, -2, -3, -4, -3, -1, -4, -3, -1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, \
1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
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, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0\
, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, \
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 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 1, 0, 0, -1, 3, -4, 1, -1, 3, -2, 0, 0, -1, 0, -2, -3, -1, 0, 2\
, 2, 1, -2, -1, 1, -1, 0 ], [ -2, 0, 0, 2, -2, 2, -2, 2, -2, 2, 0, 0, -1, 0, 0, 2, 2, 0, -1, -2, -2, 1, 1, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0\
, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 0, 0, 0,\
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0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 \
], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]\
, [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1,\
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, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ 0\
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, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, -1, 1, 0, 0, 0, 2, -2, 2, 0, 0, 0,\
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, 0, 0, 0, 2, -2, 2, 0, 0, 0, -1, 0, -1, -2, 1, 1, 1, 0, -1, -4, -4, 0, -3, 1 ], [ -2, -1, 3, -1, 0, 0, 4, -4, 4, 0, 0, 0, -1, 0, -1, -3, 1, 1, 2, 1, -1, \
-6, -6, -2, -3, 2 ], [ -1, 0, 2, -1, 0, 0, 3, -3, 3, 0, 0, 0, -1, 0, -1, -3, 1, 2, 1, 0, -1, -6, -5, 1, -4, -1 ], [ -1, 0, 1, 0, -1, 1, 2, -2, 2, 0, 0, 0,\
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1, 0, 1, 0, -1, 2, 0, 0, 0, -1, 0, -1, -2, 0, 1, -1, -1, 0, -2, -2, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, -\
1, 2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, -2, -1, 1, -1, -1, 1, -1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
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0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, 22, 10, -24, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, \
4 ], [ 22, -22, -8, 23, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 10, -8, -22, 11, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -24, 23, 11, -3\
2, -3, 0, -7, 0, 4, 2, 0, -5, -8, -8, 2, 2, 2 ], [ -5, 4, 3, -3, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, 0, 0, -12, -4, -4, -2, 2, -2, \
-1, 0, -2, -4, -4, -4 ], [ -8, 8, -6, -7, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, 1, -3, 0, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], \
[ 2, -2, 0, 4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2\
, 0, 0, 0, -2, 0, 0 ], [ -4, 4, 2, -5, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 6, 2, -8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6\
, 2, -8, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 2, 3, -4, 2, 0, 0, 0, 0\
, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, \
0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 6, -4, 6 ], [ 0, 0, 0, 0, \
0, 6, -8, 6, -6 ], [ 0, 0, 0, 0, 0, -4, 6, -8, 8 ], [ 0, 0, 0, 0, 0, 6, -6, 8, -12 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 \
], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0\
, 0, 0, -1, -1, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, -2, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl \
:= [ -9, -1, 2, 6, -3, 2, 0, 4, -6, 6, 1, -1, -3, -1, -1, 4, 7, 4, -2, -5, -8, -3, -1, -8, 3, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -\
1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1,\
 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, \
0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, \
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0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 1, 0,\
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0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, \
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, 0, 0, -1, 0, 0, 0, 2, 0, -3 ] ] ), rec( GramQ := [ [ -22, -4, -10, -24, 1, 7, 9, 3, 0, 2, 1, 0, 0, 0, 3, -2, 2 ], [ -4, -22, -34, -26, 4, 0, 8, 1, -2, 0\
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4, 2, 0, -4, 2 ], [ 0, 0, 0, 4, -4, -2, 2, 2, -4 ] ], Sigma := [ [ 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -2, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0\
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6, 2, 1, -1, -3, -1, -3, 2, 7, 8, -2, -3, -8, -7, -5, -12, 5, 7 ], embQ := [ [ 1, 0, 0, 1, -1, -1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
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1 ] ], r := [ 6, 4, 8, 12, 12, 10, 7, 5, 4, 2 ], rlifts := [ [ 0, -1, 1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, -1, -2, 1, 1 ] ], ro\
otsQ := [ [ 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -2, 1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 2, -1 ], [ 0, -1, 1, 0, 0, 0, 0, 0,\
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typeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1,\
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, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, -9, 9, 0, 0, -8, 10, 6, -6, 0, 0, 0, 0, 0, 0, 3, 9, 9, 1, 1, -9, -11, -11, -16, 6, 12\
 ], [ -1, -6, 7, -1, 1, -6, 7, 5, -5, 0, 0, 0, -1, 0, -1, 1, 6, 7, 0, -1, -6, -9, -8, -11, 4, 8 ], [ -2, -11, 12, 0, 0, -10, 12, 8, -8, 0, 0, 0, -1, 0, -1\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1\
, 1 ], [ 0, -4, 4, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, -4, -4, -4, -5, 2, 4 ], [ 0, -2, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 1, 2, 2,\
 0, 0, -2, -2, -2, -2, 0, 2 ], [ 0, -2, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, -2, -2, -2, -2, 1, 1 ] ] ), rec( GramQ := [ [ -20, 10, -3,\
 -10, 0, -3, -2, 0, 1, 2, 0, -3, -5, -5, 2, -4, -2 ], [ 10, -22, -20, -12, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -3, -20, -52, -27, 8, -16, 0, -2\
, -1, 2, -2, 3, 3, 3, -6, -14, -10 ], [ -10, -12, -27, -24, 5, -5, 6, 1, -1, 2, 0, 1, 1, 1, 0, -10, -6 ], [ 0, 4, 8, 5, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2,\
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, 0, -4, 0, 0 ], [ -4, -4, -14, -10, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -2, -2, -10, -6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQper\
p := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -20, 18, 0, 8, -8, -4 ], [ 0, 0, 0, 18, \
-20, 2, -8, 8, 4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 8, -8, 2, -8, 6, 2 ], [ 0, 0, 0, -8, 8, 0, 6, -8, 0 ], [ 0, 0, 0, -4, 4, 0, 2, 0, -4 ] ], S\
igma := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, -1, 1\
, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1,\
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0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],\
 [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, -5, 6, 2, 1, -2, -4, 8, -2, 6, 1, -1, -7, -1, -5, 0, 7, 8, -4, -7, -8, -7, -5\
, -12, 1, 1 ], embQ := [ [ 1, 0, 0, 1, -1, 0, -2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0,\
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, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1\
, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,\
 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, \
3, -8, 0, 0, 3, 0, -1, -1, 0, 1, -2, 3, 0, 3, 2, -1, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1\
, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1,\
 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ] ], r := [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 1 ]\
, rlifts := [ [ 0, -1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, -1, -1, -2, 0, 0 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, \
1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, \
0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, -2, 0 ], [ 0, 1, -1,\
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, 2, 0 ], [ 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 2, -1, -1, -1, -2, 0 ], [ 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, -1, -2, 1, 1, 1, 2, 0 ], [ 0, -1, 1, 0, 0, 0, -1,\
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0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, \
-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1",\
 "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0 ], [ 12, 8, 16, 25, 24, 20, 16, 10, 6, 2 ], [ -12, -8, -16, -24, -23, -20, -16, -10, -6, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -\
4, -8, -12, -12, -10, -7, -5, -3, -1 ], [ 6, 4, 8, 12, 12, 10, 8, 6, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 2 ] ], theg\
tilde := [ [ -1, -9, 9, 0, 0, 0, -6, 6, 2, 8, 0, 0, -8, 0, -4, -1, 9, 9, -3, -7, -9, -11, -11, -16, -2, 0 ], [ -1, -6, 7, -1, 1, 0, -5, 5, 1, 6, 0, 0, -7,\
 0, -4, -2, 6, 7, -3, -7, -6, -9, -8, -11, -2, -1 ], [ -2, -11, 12, 0, 0, 0, -8, 8, 2, 10, 0, 0, -11, 0, -6, -2, 11, 11, -4, -10, -11, -14, -14, -20, -3, \
1 ], [ -2, -15, 17, -1, 0, 0, -10, 10, 4, 14, 0, 0, -15, 0, -8, -3, 15, 15, -5, -13, -15, -20, -20, -30, -3, 2 ], [ -1, -14, 16, -1, 0, 0, -11, 11, 3, 14,\
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 -15, -15, -23, -3, -1 ], [ -1, -8, 8, 1, -1, 0, -6, 7, 1, 8, 0, 0, -8, 0, -4, 0, 9, 8, -3, -7, -9, -10, -10, -17, 0, 1 ], [ 0, -5, 6, -1, 0, 0, -4, 5, 1,\
 5, 0, 0, -6, 0, -4, -1, 5, 7, -4, -6, -5, -7, -7, -10, -1, -1 ], [ 0, -5, 5, 0, 0, 0, -5, 5, 1, 5, 0, 0, -6, 0, -3, -1, 5, 4, -2, -5, -5, -6, -6, -8, -2,\
 -2 ], [ 0, -1, 1, 0, 0, 0, -1, 1, 0, 2, 0, 0, -2, 0, -1, 0, 1, 2, -1, -2, -1, -2, -2, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
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1, 0, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -1, -1, 0, 0, 3, -3, 1, -2, 0, 0, 2, 0, 0, -1, -4, -1, 0, 2, 3, 2, 1, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, -4,\
 4, 0, 0, 0, -4, 4, 0, 4, 0, 0, -4, 0, -2, 0, 4, 4, -2, -4, -4, -4, -4, -5, -2, -2 ], [ 0, -2, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 0, -1, 0, 2, 2, -1, -2, \
-2, -2, -2, -2, -2, -1 ], [ 0, -2, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 0, -1, 0, 2, 2, -1, -2, -2, -2, -2, -2, -1, -2 ] ] ), rec( GramQ := [ [ -130, 43, -4\
5, -83, -9, 8, -6, 1, 2, 2, 2, -10, -14, -14, 10, 6, 6 ], [ 43, -22, 13, 21, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -45, 13, -26, -32, -1, -5, -4,\
 -1, 0, 2, 0, -4, -6, -6, 2, -4, -2 ], [ -83, 21, -32, -60, -4, 6, 2, 2, 0, 2, 2, -6, -8, -8, 8, 0, 2 ], [ -9, 4, -1, -4, -4, 0, 0, -2, -2, 0, 0, -1, 0, -\
2, 0, 3, 2 ], [ 8, 0, -5, 6, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -6, 8, -4, 2, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 1, 1, -1\
, 2, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, 0, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0\
, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -10, 4, -4, -6, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -14, 6, -6,\
 -8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -14, 6, -6, -8, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 10, -2, 2, 8, 0, -4, -2, -2, 0, 2, -2\
, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp\
 := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, -2, 8, 0, 4, -10, 2 ], [ 2, 0, -2, -8, 10, 0, 4, -10, 2 ], [ 0, 0, 8, 10\
, -20, 2, -8, 20, -4 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 4, 4, -8, 2, -8, 12, -2 ], [ 0, 0, -10, -10, 20, 0, 12, -28, 6 ], [ 0, 0, 2, 2, -4, 0, -2,\
 6, -4 ] ], Sigma := [ [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, -1, 1, 1, 0\
, 0, -1, 0, -1, 1, 1, 0, -1, -1, 1, -2, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1\
, 1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -\
1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0\
, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -5, 8, 4, -3, -2, -2, 14, -4, 2, 1, -1, -7, -1, -7, 2, 7, 6, -\
6, -7, -8, -3, -3, -12, 3, 5 ], embQ := [ [ 1, 0, 0, 1, -1, 0, -3, 5, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1,\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0,\
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 -3, -1, 5, -4, 0, 0, 1, 0, -1, -3, -2, 1, -2, 1, 2, 1, 0, 1, -4, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1,\
 1 ], [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, -1, 0, -2, -2, 0, 0, -1, 0, 0, 1, 1, 0, -3, -2 ], [ -2, 0, 0, 2, -2, 0, 4, 0, -8, 6, 0, 0, 1, 0, 4, 5, 2, 0,\
 1, -2, -2, -1, -1, -2, 5, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 8, 5, 10, 16, 15, 12, 9, 5,\
 4, 2 ], rlifts := [ [ -1, -1, 1, 1, -1, 0, -1, 3, -1, 0, 0, 0, -1, 0, -1, 1, 1, 0, -1, -1, -1, 1, 0, -2, 1, 1 ] ], rootsQ := [ [ 1, 1, 0, -1, 0, 0, 0, 0,\
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, -1, 2, -1 ], [ 0, -1, 2, -1, 0, 0, -2, 0, -1, 0, 1, 0, -1, -2, 0, -2, 1 ], [ 0, 1, -2, 1, 0, 0, 2, 0, 1, 0, -1, 0, 1, 2, 0, 2, -1 ], [ 1, 0, 0, -1, 0, 0\
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0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -\
1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0\
, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 8, 5, 11, 16, 15, 12, 9, 5, 4, 2 ], [ 8, 5, 10, 17, 15, 12, 9, 5, 4, 2 ], [ -16, -10, -20, -32, -29, -24, -18, -10, -8, -4 ], [ 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0 ], [ -8, -5, -10, -16, -15, -12, -8, -5, -4, -2 ], [ 24, 15, 30, 48, 45, 36, 27, 16, 12, 6 ], [ -8, -5, -10, -16, -15, -12, -9, -5, -3, -2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -11, -12, 18, 4, -10, 0, -4, 26, -4, 0, 0, 0, -12, 0, -11, 4, 12, 6, -10, -11, -11, -3, -8, -22, 4, 10\
 ], [ -9, -8, 13, 3, -7, 0, -3, 19, -3, 0, 0, 0, -9, 0, -9, 2, 8, 5, -8, -9, -8, -3, -6, -15, 2, 7 ], [ -14, -14, 22, 5, -12, 0, -5, 31, -5, 0, 0, 0, -15,\
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40, 7, 20 ], [ -19, -19, 31, 7, -18, 0, -7, 45, -7, 0, 0, 0, -21, 0, -20, 6, 20, 11, -18, -20, -19, -6, -14, -37, 6, 17 ], [ -15, -15, 24, 6, -15, 1, -6, \
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9, -2, -6, -19, 5, 9 ], [ -6, -6, 10, 2, -6, 0, -2, 15, -2, 0, 0, 0, -7, 0, -7, 2, 6, 4, -7, -7, -6, -2, -5, -12, 2, 5 ], [ -6, -6, 9, 3, -6, 0, -3, 15, -\
2, 0, 0, 0, -7, 0, -7, 2, 6, 3, -6, -6, -6, -1, -4, -10, 1, 4 ], [ -2, -2, 3, 1, -2, 0, -1, 5, -1, 1, 0, 0, -3, 0, -2, 1, 2, 1, -2, -3, -2, -1, -2, -4, 1,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, 3, 1, -2, 0, -1, 5, -1, 0, 0, -1, -2, 0, -2, 1, 2, 1, -\
2, -2, -2, 0, -1, -2, 0, 1 ], [ 1, 1, -1, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -2, 1, 0, 1, 1, -1, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, -2, 0, -1, 5, -1, 0, 0, 0, -2, 0, -2, 1, 2, 1, -2, -2, -2, 0, -1, -2, -1, 1 ], [ -2, -2, 3, 1, -2, 0, -1, 5, -1, 0, 0, 0, -2, 0, -2, 1, 2, 1, -2, -2, -2\
, 0, -1, -2, 0, 0 ] ] ), rec( GramQ := [ [ -132, 125, -41, -84, -13, 19, -5, 2, 2, 0, 2, -8, -10, -10, 10, 18, 13 ], [ 125, -120, 38, 79, 12, -17, 5, -2, \
-2, 0, -2, 8, 10, 10, -10, -16, -11 ], [ -41, 38, -16, -27, -5, 6, -3, 0, 0, 0, 0, -2, -2, -2, 2, 8, 5 ], [ -84, 79, -27, -60, -8, 17, 3, 3, 0, 0, 2, -4, \
-4, -4, 8, 12, 9 ], [ -13, 12, -5, -8, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 19, -17, 6, 17, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ],\
 [ -5, 5, -3, 3, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 2, -2, 0, 3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, \
-2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, -2, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -\
8, 8, -2, -4, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -10, 10, -2, -4, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -10, 10, -2, -4, -2, -2, 0,\
 -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 10, -10, 2, 8, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 18, -16, 8, 12, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6\
, -4 ], [ 13, -11, 5, 9, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 10, -6, 2, 0, 0, 0, 0 ], [ \
0, 10, -20, 14, -4, 0, 0, 0, 0 ], [ 2, -6, 14, -12, 4, 0, 0, 0, 0 ], [ 0, 2, -4, 4, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, \
-4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0\
, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -2, 1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -\
1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -3, \
1, -2, 2, 3, -2, 0, 4, -2, 2, 1, -1, -3, -1, -3, 0, 7, 8, -2, -3, -8, -7, -1, -10, 3, -1 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, 0, 3, 0, 0, 6 ], [ 0, 1, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -3, 0, 0, -6 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 1, -1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -\
1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0, 1, -2, 0, 0, 2,\
 -1, 0, -1, 1 ], [ -1, 4, -5, 2, 3, -4, 2, -2, 2, 0, 0, 0, -2, 0, -2, -2, 1, -1, 4, 2, -1, -3, 1, 1, 1, -2 ], [ 1, -2, 2, -1, -3, 4, -1, 1, -1, 0, 0, 0, 2\
, 0, 2, 2, -1, 0, -3, -1, 1, 3, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, \
2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, \
-1, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0\
, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 3, 2, 5, 6, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0\
, -2, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, \
0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1,\
 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 1, \
-1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -2, 1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 2, -1 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0,\
 -1, -2, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 0, 1, 1, 0, 0, -1, -1, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0 ], [ 0,\
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-1, -1, 0, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2,\
 -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 3, 3, 5, 6, 6, 5, 4, 3, 2, 1 ], [ -6, -4, -9, -12, -12, -10, -8, -6, -4, -2 ], [ 6, 4, 10, 13, 12, 10, 8, 6, 4, 2 ], [ -3, -2, -5, -6, -5, -5, -4,\
 -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 1, -3, 0, 2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 5, 5, 1, 1, -5, -7, -3, -6, 0, -2 ], [ 0, 1, -2, -1, \
3, 0, 1, -1, 1, 0, 0, 0, -1, 0, -1, -2, 3, 4, 0, -1, -3, -6, -2, -4, 0, -2 ], [ 0, 1, -4, 0, 4, 0, 2, -2, 2, 0, 0, 0, -1, 0, -1, -2, 7, 7, 1, 0, -7, -10, \
-4, -10, 1, -1 ], [ 2, 3, -5, -1, 4, 0, 4, -4, 4, 0, 0, 0, -1, 0, -1, -3, 9, 9, 2, 1, -9, -14, -6, -14, 1, -2 ], [ 1, 2, -5, -1, 5, 0, 3, -3, 3, 0, 0, 0, \
-1, 0, -1, -3, 8, 9, 1, 0, -8, -13, -5, -11, 1, -3 ], [ 1, 2, -5, 0, 3, 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 7, 7, 0, 0, -7, -9, -3, -9, 1, -3 ], [ 1, 2, -4\
, 1, 1, 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 4, 1, 1, -5, -6, -2, -7, 2, -1 ], [ 1, 1, -2, -1, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 3, 4, -1, -1, -3, -5\
, -2, -5, 1, -2 ], [ 0, 0, -3, 0, 3, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, -1, 3, 3, 0, 0, -3, -4, -1, -4, 1, -2 ], [ 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0\
, 0, 0, 1, 1, 0, -1, -1, -2, -1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, -1, 0, 2, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, -1, 1, 0 ], [ 0, -1, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -2, 0, -1, -1, 2, 0, -1, 0, 0, 1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, -1, -1, 0, 1, -1, 1,\
 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1,\
 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 0, -1, \
0, -2 ], [ -1, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
0, 0, -1, -1, 0, 0, 0, -2 ] ] ), rec( GramQ := [ [ -30, 3, -3, -25, -2, 12, 9, 4, -2, -3, 4, -1, 0, 0, 9, 2, 2 ], [ 3, -22, -27, -19, 4, 0, 8, 1, -2, 0, 0\
, 4, 6, 6, -2, -4, -2 ], [ -3, -27, -42, -32, 6, -1, 11, 2, -4, -3, 2, 5, 8, 8, 1, -8, -6 ], [ -25, -19, -32, -44, 3, 10, 17, 5, -4, -3, 4, 3, 6, 6, 7, -4\
, -2 ], [ -2, 4, 6, 3, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 12, 0, -1, 10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 9, 8, 11, 17, \
0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 4, 1, 2, 5, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2, -2, 2, -2, -4, 0, 0, 0\
, 2, 0, 0, 0, 0 ], [ -3, 0, -3, -3, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -1, 4, 5, 3, -\
1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 6, 8, 6, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 0, 6, 8, 6, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4,\
 0, 0, 0 ], [ 9, -2, 1, 7, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 2, -4, -8, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 2, -2, -6, -2, 2, \
-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, 0, 0, 0, -4, 0, 2 ], [ 0, 6, -8, 2, 0, 0, 4, 0, -2 ]\
, [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, -4, 4, 0, 0, 2, -8, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, \
-4, 2 ], [ 0, 2, -2, 0, 0, 0, 2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -\
1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ -1, 0, 0, 1, 0, 0, 1, \
0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ \
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, \
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", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 1, 1, 1\
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24, -2, 12, 7, 3, 0, 2, 0, 1, 2, 2, 2, 6, 6 ], [ -4, -22, -34, -26, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -8, -34, -58, -42, 6, -1, 9, 1, -2, 2, \
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, [ 12, 0, -1, 10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 7, 8, 9, 15, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 3, 1, 1, 4, -2, -4,\
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 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2\
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3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 2, 1, 3, 4, 3, 3, 2, 1, 0, 0 ], rlifts := [ [ 0, 1, -1\
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1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, -3, 2, -4, 12, -6, 6, 1, -1, -7, -1, -5, 4, 1\
1, 8, -6, -9, -12, -5, -1, -16, 5, 1 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0\
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11, 16, 15, 12, 10, 6, 5, 2 ], rlifts := [ [ -1, 0, 0, 1, -1, 1, -1, 2, -1, 1, 0, 0, -1, 1, -1, 1, 2, 1, -1, -2, -2, -1, 0, -3, 1, 0 ] ], rootsQ := [ [ -1\
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0, -1, 0, 0, 1, -1, 1, -1, -2, -1, 1, 2, 1, 3, -1 ], [ -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, 1, 1, -1, -2, -1, -3, 1 ], [ 1, 0, 0, -1, 0, 0, 1, -1, 1, 0, -1, -\
1, 1, 2, 1, 3, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, \
2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootst\
ypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 6, \
11, 16, 15, 12, 10, 6, 5, 2 ], [ -8, -5, -10, -16, -15, -12, -10, -6, -5, -2 ], [ 16, 10, 22, 33, 30, 24, 20, 12, 10, 4 ], [ -16, -10, -22, -32, -29, -24,\
 -20, -12, -10, -4 ], [ 8, 5, 11, 16, 15, 13, 10, 6, 5, 2 ], [ -16, -10, -22, -32, -30, -24, -19, -12, -10, -4 ], [ 24, 15, 33, 48, 45, 36, 30, 19, 15, 6 \
], [ -16, -10, -22, -32, -30, -24, -20, -12, -9, -4 ], [ 8, 5, 11, 16, 15, 12, 10, 6, 5, 3 ] ], thegtilde := [ [ -13, -1, 1, 12, -12, 12, -10, 22, -10, 12\
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7, 13, -1 ], [ -11, 0, 0, 11, -11, 10, -8, 19, -9, 10, 0, 0, -10, 0, -5, 10, 21, 10, -9, -14, -21, -7, -2, -31, 10, 1 ], [ -8, 0, 1, 7, -8, 8, -7, 16, -7,\
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0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
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 -2, -3, -4, -1, 0, -4, 0, -1 ], [ -2, 0, 0, 2, -2, 2, -2, 4, -2, 2, 0, 0, -2, 0, -1, 2, 4, 2, -2, -3, -4, -1, 0, -4, 1, -2 ] ] ), rec( GramQ := [ [ -40, \
61, 18, 25, -5, 14, 1, 2, 4, 0, 0, -2, -3, -2, 2, 12, 8 ], [ 61, -114, -24, -57, 4, -24, -10, -5, -6, 0, 0, 0, 0, -2, -2, -16, -10 ], [ 18, -24, -22, -8, \
3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ 25, -57, -8, -34, 0, -12, -9, -3, -2, 0, 0, -2, -3, -4, 0, -6, -4 ], [ -5, 4, 3, 0, -4, 0, 0, -2, -2, 0\
, 0, -1, 0, -2, 0, 3, 2 ], [ 14, -24, -11, -12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 1, -10, -6, -9, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -\
2, 2, 0 ], [ 2, -5, -3, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 4, -6, 0, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -2, 0, 2, -2, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0\
, 0, 0 ], [ -3, 0, 2, -3, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -2, -2, 2, -4, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, \
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 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -8, 4, 4, 4, -12, 6 ], [ 0, 6, -8, 10, -4, -4, -4, 12, -6 ], [ 2, -8, 10, -20, \
10, 8, 8, -24, 12 ], [ 0, 4, -4, 10, -8, -2, -4, 12, -6 ], [ 0, 4, -4, 8, -2, -8, -2, 12, -6 ], [ 0, 4, -4, 8, -4, -2, -8, 14, -6 ], [ 0, -12, 12, -24, 12\
, 12, 14, -40, 20 ], [ 0, 6, -6, 12, -6, -6, -6, 20, -12 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 0, 1, 0, -1, -3, 1 ], [ -1, 0, 0, -1, 0, 0,\
 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0\
, -1, 0, 1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, 1, -\
6, 0, 12, -2, -2, 1, -1, -7, -1, -9, 0, 11, 8, -2, -3, -12, -7, -1, -16, 5, 5 ], embQ := [ [ 1, 0, 0, -1, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, \
1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 1,\
 -2, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, -1, -2, 0, -1, 2, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 5, -8, 0, 0, 2, 0, -2, -2\
, -1, -2, 1, 5, 1, 3, 2, 1, -2, 3 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -3, 4, 0, 0, 0, 0, 2, 2, 0, 1, -2, -3, 0, 0, -1, -1, 1, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0\
, -2, 4, 0, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0, -3, -2, 0, 2, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0, 0, -2, 0, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, 0, -2 ],\
 [ 1, 0, 0, -1, 1, 0, 1, -3, 7, -12, 0, 0, 4, 0, -2, -4, -1, 0, 1, 7, 1, 2, 2, 1, -4, 3 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -5, 6, 0, 0, -1, 0, 2, 3, 1, 0, 0, \
-3, -1, -1, -1, -1, 3, 0 ] ], r := [ 8, 5, 11, 16, 15, 13, 10, 6, 5, 3 ], rlifts := [ [ -1, 0, 0, 1, 0, -1, 0, 2, 0, -1, 0, 0, -1, 0, -1, 0, 2, 0, 1, 0, -\
2, -1, 0, -3, 1, 1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, -2, -2, 1, 0, 1, 3, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 2, 2, -1, 0, -1, -3, 1 ],\
 [ 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, -2, -1, 0, 0, 1, 3, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 2, 1, 0, 0, -1, -3, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2,\
 -1, 0, 0, 1, 3, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 1, 0, 0, -1, -3, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 0, -1, 0, 1, 3, -1 ], [ -1, 0, 0, 0\
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, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, \
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, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0,\
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 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 8, 6, 11, 16, 15, 13, 10, 6, 5, 3 ], [ -8, -5, -10, -16, -15, -13, -10, -6, -5, -3 ], [ 16, 10, 22, 33, 30, 26, 20, 12, 10, 6 ], [\
 -8, -5, -11, -16, -14, -13, -10, -6, -5, -3 ], [ -8, -5, -11, -16, -15, -12, -10, -6, -5, -3 ], [ -8, -5, -11, -16, -15, -13, -9, -6, -5, -3 ], [ 24, 15,\
 33, 48, 45, 39, 30, 19, 15, 9 ], [ -8, -5, -11, -16, -15, -13, -10, -6, -4, -3 ], [ -8, -5, -11, -16, -15, -13, -10, -6, -5, -2 ] ], thegtilde := [ [ -13\
, -1, 1, 12, 0, -12, 2, 22, 2, -12, 0, 0, -12, 0, -18, -1, 25, 13, 1, 1, -25, -15, -3, -36, 10, 12 ], [ -10, 0, 1, 8, 1, -9, 1, 17, 1, -9, 0, 0, -10, 0, -\
14, -2, 18, 10, 0, -1, -18, -12, -2, -26, 7, 8 ], [ -17, -1, 2, 15, 0, -15, 2, 28, 2, -15, 0, 0, -16, 0, -23, -2, 31, 16, 1, 0, -31, -19, -4, -45, 12, 16 \
], [ -24, -1, 3, 21, 0, -22, 4, 40, 4, -22, 0, 0, -23, 0, -33, -3, 45, 23, 2, 1, -45, -28, -6, -68, 19, 24 ], [ -22, 0, 2, 20, 0, -21, 3, 39, 3, -21, 0, 0\
, -22, 0, -32, -3, 43, 23, 1, 0, -43, -27, -5, -62, 17, 20 ], [ -18, 0, 1, 17, -1, -16, 2, 32, 2, -17, 0, 0, -17, 0, -26, -1, 35, 18, 0, 0, -35, -20, -3, \
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8, 0, 0, -9, 0, -13, -1, 16, 9, -1, -1, -16, -10, -2, -24, 7, 7 ], [ -7, 0, 0, 7, 0, -7, 0, 14, 1, -7, 0, 0, -8, 0, -11, -1, 14, 7, 0, 0, -14, -8, -1, -19\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 2, 0, -2, 0, 4, 0, -2, 0, 0, -2, 0, -3, -1, 4, 2, 0, 0, -4, -2, 0, -4, \
1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
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0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 1, 0, -1, 0, -1, 2, 0, -4, 0, 2, 0, 0, 2, 0, 3, 1, -3, -3, 1, 1, 3, 3, 0, 5, -1, -1 ], [ -4, 0, 0, 4,\
 0, -4, 0, 8, 0, -4, 0, 0, -4, 0, -6, 0, 8, 4, 0, 0, -8, -4, 0, -9, 2, 2 ], [ -2, 0, 0, 2, 0, -2, 0, 4, 0, -2, 0, 0, -2, 0, -3, 0, 4, 2, 0, 0, -4, -2, 0, \
-4, 0, 1 ], [ -2, 0, 0, 2, 0, -2, 0, 4, 0, -2, 0, 0, -2, 0, -3, 0, 4, 2, 0, 0, -4, -2, 0, -4, 1, 0 ] ] ), rec( GramQ := [ [ -40, 71, 19, 33, -4, 15, 7, 3,\
 -1, -6, 4, -1, 0, 1, 8, 8, 4 ], [ 71, -154, -26, -83, 2, -26, -22, -7, 4, 12, -8, -2, -6, -8, -14, -8, -2 ], [ 19, -26, -22, -9, 3, -11, -6, -3, 0, 0, -2\
, 2, 2, 2, -6, -4, -4 ], [ 33, -83, -9, -50, -1, -13, -15, -4, 3, 6, -4, -3, -6, -7, -6, -2, 0 ], [ -4, 2, 3, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3,\
 2 ], [ 15, -26, -11, -13, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 7, -22, -6, -15, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 3, -7, \
-3, -4, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -1, 4, 0, 3, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -6, 12, 0, 6, 0, 2, 2, 0, 0, -4, 2,\
 0, 0, 0, 2, 0, 0 ], [ 4, -8, -2, -4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -1, -2, 2, -3, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, -\
6, 2, -6, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 1, -8, 2, -7, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 8, -14, -6, -6, 0, -4, -2, -2, 0, \
2, -2, 0, 0, 0, -4, 0, 0 ], [ 8, -8, -4, -2, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -4, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], Gra\
mQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -4, 2, -6, -6, 0, 4, -10 ], [ 0, -4, -16, 8, -12, -12, 0, 8, -18 ], [ 2, 2, 8, -8, 8, 6, 0, -4, 8 ], \
[ 0, -6, -12, 8, -16, -10, 0, 8, -18 ], [ 0, -6, -12, 6, -10, -16, 2, 8, -18 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 4, 8, -4, 8, 8, 2, -8, 12 ], [ 0, -10\
, -18, 8, -18, -18, 0, 12, -28 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 2, 1, 1, -1, -2, -3, 2 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -\
1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1\
, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, 1, -6, 4, 8, -10, 10, 1, -1, -\
7, -1, -3, 4, 11, 8, 0, -7, -12, -11, -5, -16, 9, 5 ], embQ := [ [ 1, 0, 0, -1, 0, 1, -1, -1, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1 ], [ 0\
, 1, 0, 1, 0, -2, 1, 3, -5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 2, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, -2 ], [ 0, 0, 0, 0, 1, -1, 0, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
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0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, \
0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 0, -3, 2, 1, -2, 0, 1, 1, -1, -2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, -1, 2, 0, 0, 0, 3 ], [ 0, 2, -3, 1, 0, 0\
, 1, 1, 1, -6, 0, 0, 2, 0, -1, 0, 2, 1, 0, 3, -2, 1, 3, -2, 1, 1 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, \
0 ], [ 0, -1, 1, 0, -2, 2, 0, 2, 0, -6, 0, 0, 3, 0, 0, 1, 1, 1, -2, 2, -1, 3, 2, -2, 0, 3 ], [ -1, 0, 0, 1, 1, -4, 3, 1, 1, -6, 0, 0, 1, 0, -2, -1, 1, 0, \
2, 4, -1, 0, 1, -1, 1, 4 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4\
, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -2, 0, 0, 2, -2, 0, 2, 2, 0, -8, 0, 0, 3, 0, -1, 1, 2, 0, 0, 4, -2, 3, 3, -2, 1, 5 ] ], r := [ \
8, 5, 11, 16, 15, 13, 10, 7, 6, 2 ], rlifts := [ [ -1, 0, 0, 1, 0, -1, 1, 1, -2, 2, 0, 0, -1, 0, 0, 1, 2, 1, 1, -1, -2, -2, -1, -3, 2, 1 ] ], rootsQ := [ \
[ 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, -1, 0, 1, 2, 3, -2 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 2, 1, 0, -1, -2, -3, 2 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2\
, -2, 0, 1, 2, 3, -2 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 2, 2, 0, -1, -2, -3, 2 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, 0, -1, 1, 2, 3, -2 ], [ -1, 0, 0,\
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, -2, -3, 2 ], [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1\
, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], \
[ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ \
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, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstyp\
eQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 6, 11\
, 16, 15, 13, 10, 7, 6, 2 ], [ -8, -5, -10, -16, -15, -13, -10, -7, -6, -2 ], [ 16, 10, 22, 33, 30, 26, 20, 14, 12, 4 ], [ -8, -5, -11, -16, -14, -13, -10\
, -7, -6, -2 ], [ -8, -5, -11, -16, -15, -12, -10, -7, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 22, 32, 30, 26, 20, 15, 12, 4 ], [ -24, -15, \
-33, -48, -45, -39, -30, -21, -17, -6 ], [ 16, 10, 22, 32, 30, 26, 20, 14, 12, 5 ] ], thegtilde := [ [ -13, -1, 1, 12, 0, -12, 14, 10, -22, 24, 0, 0, -12,\
 0, 0, 11, 25, 13, 7, -11, -25, -27, -15, -36, 22, 12 ], [ -10, 0, 1, 8, 1, -9, 10, 8, -17, 18, 0, 0, -10, 0, -1, 7, 18, 11, 4, -10, -18, -21, -11, -26, 1\
6, 8 ], [ -17, -1, 2, 15, 0, -15, 17, 13, -28, 30, 0, 0, -16, 0, -1, 13, 31, 17, 8, -15, -31, -34, -19, -45, 27, 16 ], [ -24, -1, 3, 21, 0, -22, 26, 18, -\
40, 44, 0, 0, -23, 0, -1, 19, 45, 25, 12, -21, -45, -50, -28, -68, 41, 24 ], [ -22, 0, 2, 20, 0, -21, 24, 18, -39, 42, 0, 0, -22, 0, -1, 18, 43, 24, 11, -\
21, -43, -48, -26, -62, 38, 20 ], [ -18, 0, 1, 17, -1, -16, 19, 15, -32, 34, 0, 0, -17, 0, 0, 16, 35, 19, 8, -17, -35, -37, -20, -50, 31, 16 ], [ -11, 0, \
0, 11, -1, -10, 12, 9, -19, 20, 0, 0, -10, 0, 0, 10, 21, 10, 6, -9, -21, -22, -12, -31, 20, 11 ], [ -9, 0, 1, 8, 0, -9, 10, 9, -17, 18, 0, 0, -10, 0, -1, \
8, 18, 11, 3, -10, -18, -20, -11, -27, 17, 8 ], [ -8, 0, 0, 8, 0, -8, 8, 8, -15, 16, 0, 0, -9, 0, -1, 7, 16, 8, 4, -8, -16, -17, -9, -22, 14, 6 ], [ -2, 0\
, 0, 2, 0, -2, 2, 2, -4, 5, 0, 0, -3, 0, 0, 2, 4, 2, 1, -3, -4, -5, -3, -6, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, \
0, 0, 0, 0 ], [ -2, 0, 0, 2, 0, -2, 2, 2, -4, 4, 0, -1, -2, 0, 0, 2, 4, 4, 0, -2, -4, -4, -2, -4, 3, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 -1, -1, -1, 0, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 2, 0, -2, 2, 2, -4, 4, 0, 0, -2, 0, 0, 1, 4, 2, 1, -2, -4, -4, -2, -4, 3, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, 1, -1, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 1, 0, -1, 0, -1, 2, -2, -2, 4, -4, 0, 0, 2, 0, 0, -1, -3, -3, 0, 3, 3, 5, 2, 5, -3, -1 ], [ -4, 0, 0, 4, 0, -4, 4, \
4, -8, 8, 0, 0, -4, 0, 0, 4, 8, 4, 2, -4, -8, -8, -4, -9, 6, 2 ], [ -2, 0, 0, 2, 0, -2, 2, 2, -4, 4, 0, 0, -2, 0, 0, 2, 4, 2, 1, -2, -4, -4, -2, -4, 2, 1 \
], [ -2, 0, 0, 2, 0, -2, 2, 2, -4, 4, 0, 0, -2, 0, 0, 2, 4, 2, 1, -2, -4, -4, -2, -4, 3, 0 ] ] ), rec( GramQ := [ [ -24, 11, 10, -11, -5, 2, -8, -1, 2, 0,\
 0, -4, -6, -6, 2, 6, 4 ], [ 11, -68, -32, -59, 3, -22, -13, -6, -4, 3, -4, 3, 4, 2, -9, -8, -6 ], [ 10, -32, -22, -24, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2,\
 -6, -4, -4 ], [ -11, -59, -24, -72, -1, -22, -21, -7, -2, 3, -4, -1, -2, -4, -7, -4, -4 ], [ -5, 3, 3, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], \
[ 2, -22, -11, -22, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -13, -6, -21, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -6, -3, -\
7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -4, 0, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 3, 0, 3, 0, 2, 2, 0, 0, -4, 2, 0, 0,\
 0, 2, 0, 0 ], [ 0, -4, -2, -4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 3, 2, -1, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 4, 2, -\
2, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 2, 2, -4, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -9, -6, -7, 0, -4, -2, -2, 0, 2, -2, 0\
, 0, 0, -4, 0, 0 ], [ 6, -8, -4, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -6, -4, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp \
:= [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -8, 0, 8, 4, -8, 2 ], [ 0, 6, -8, 10, 0, -8, -4, 8, -2 ], [ 2, -8, 10, -20, 2, 16, 8, -16, 4 ], [ 0, 0, 0\
, 2, -4, 2, 0, 0, 0 ], [ 0, 8, -8, 16, 2, -20, -6, 16, -4 ], [ 0, 4, -4, 8, 0, -6, -8, 10, -2 ], [ 0, -8, 8, -16, 0, 16, 10, -20, 6 ], [ 0, 2, -2, 4, 0, -\
4, -2, 6, -4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 0, -2, 1, -2, -1, 2, 1, 1, -1, -3, -3, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, \
0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0,\
 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1,\
 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, 5, -10, 0, 8, -2, 6, 1, -1, -11, -1, -9, -2, 11\
, 8, 2, -5, -12, -13, -5, -16, 5, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -2,\
 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, -3 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0\
, 0, 0, 0, 2, -2, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1,\
 -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 2, -4, 0\
, 0, 1, 0, -1, -1, 1, 1, 0, 2, -1, 0, 2, -1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, -1, -3, 8, 0, 0, -2, 0, 2, 2, -1, -2, 1, -3, 1, -1, -2, 1, 2, -1 ], [ 1, -1\
, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 1, 0, -3, -3, 0, 0, 2, 5, 0, 0,\
 1, 0, -1, 3 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 3, -4, 0, 0, 0, 0, -2, -1, 1, 0, -1, 1, -1, 2, 2, -1, -2, 0 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -3, 8, 0, 0, -1, 0\
, 3, 1, -1, 0, 1, -3, 1, -3, -3, 1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 8, 5, 11, 16\
, 15, 14, 11, 7, 5, 2 ], rlifts := [ [ -1, 0, 0, 1, 1, -2, 0, 1, 0, 1, 0, 0, -2, 1, -2, -1, 2, 1, 1, -1, -2, -3, -1, -3, 1, 1 ] ], rootsQ := [ [ -1, 0, 0,\
 1, 0, 0, -2, -1, -1, 0, 3, 1, 1, 0, -2, -3, 1 ], [ 1, 0, 0, -1, 0, 0, 2, 1, 1, 0, -3, -1, -1, 0, 2, 3, -1 ], [ -1, 0, 0, 1, 0, 0, -2, -1, -1, 0, 2, 1, 1,\
 0, -2, -3, 1 ], [ 1, 0, 0, -1, 0, 0, 2, 1, 1, 0, -2, -1, -1, 0, 2, 3, -1 ], [ -1, 0, 0, 1, 0, 0, -2, 1, -2, -1, 2, 1, 1, -1, -3, -3, 1 ], [ 1, 0, 0, -1, \
0, 0, 2, -1, 2, 1, -2, -1, -1, 1, 3, 3, -1 ], [ -1, 0, 0, 1, 0, 0, -2, 1, -2, -1, 1, 1, 1, -1, -3, -3, 1 ], [ 1, 0, 0, -1, 0, 0, 2, -1, 2, 1, -1, -1, -1, \
1, 3, 3, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1,\
 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [\
 -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0,\
 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -\
1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, \
-1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ\
 := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 6, 11, \
16, 15, 14, 11, 7, 5, 2 ], [ -8, -5, -10, -16, -15, -14, -11, -7, -5, -2 ], [ 16, 10, 22, 33, 30, 28, 22, 14, 10, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [\
 -16, -10, -22, -32, -30, -27, -22, -14, -10, -4 ], [ -8, -5, -11, -16, -15, -14, -10, -7, -5, -2 ], [ 16, 10, 22, 32, 30, 28, 22, 15, 10, 4 ], [ -8, -5, \
-11, -16, -15, -14, -11, -7, -4, -2 ], [ 8, 5, 11, 16, 15, 14, 11, 7, 5, 3 ] ], thegtilde := [ [ -13, -1, 1, 12, 12, -24, 2, 10, 2, 12, 0, 0, -24, 0, -18,\
 -7, 25, 13, 13, -5, -25, -33, -15, -36, 10, 6 ], [ -10, 0, 1, 8, 10, -18, 1, 8, 1, 9, 0, 0, -19, -1, -14, -6, 19, 10, 9, -5, -18, -25, -11, -26, 7, 3 ], \
[ -17, -1, 2, 15, 15, -30, 2, 13, 2, 15, 0, 0, -31, -1, -23, -9, 32, 16, 16, -7, -31, -41, -19, -45, 12, 8 ], [ -24, -1, 3, 21, 22, -44, 4, 18, 4, 22, 0, \
0, -45, 0, -34, -14, 45, 23, 24, -10, -45, -61, -28, -68, 19, 13 ], [ -22, 0, 2, 20, 21, -42, 3, 18, 3, 21, 0, 0, -43, -1, -32, -13, 44, 23, 22, -10, -43,\
 -58, -26, -62, 17, 9 ], [ -19, 0, 1, 18, 17, -35, 2, 16, 2, 18, 0, 0, -36, 0, -27, -10, 37, 19, 18, -9, -37, -48, -21, -53, 15, 8 ], [ -12, 0, 0, 12, 10,\
 -22, 2, 10, 1, 11, 0, 0, -22, -1, -16, -5, 24, 11, 12, -4, -23, -29, -13, -34, 11, 6 ], [ -9, 0, 1, 8, 9, -18, 1, 9, 1, 9, 0, 0, -19, -1, -14, -5, 19, 10\
, 8, -5, -18, -24, -11, -27, 8, 3 ], [ -7, 0, 0, 7, 7, -14, 0, 7, 1, 7, 0, 0, -15, -1, -11, -4, 15, 7, 7, -3, -14, -18, -8, -19, 5, 1 ], [ -2, 0, 0, 2, 2,\
 -4, 0, 2, 0, 3, 0, 0, -5, -2, -2, 0, 6, 2, 2, -1, -4, -5, -3, -6, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ -2, 0, 0, 2, 2, -4, 0, 2, 0, 2, 0, -1, -4, -2, -2, 0, 6, 2, 2, 0, -4, -4, -2, -4, 1, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 1, \
1, -1, 0, 1, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 2, 2, -4, 0, 2, 0, 2, 0, 0, -4, 2, -4, -3, 2, 2, 2, -2, -4, -6, -2, -4, 1, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 2, 0, \
0, 1, 0, 0, 0, 0, 0, -1 ], [ 1, 0, -1, 0, -3, 4, 0, -2, 0, -2, 0, 0, 4, 0, 3, 2, -3, -3, -1, 2, 3, 6, 2, 5, -1, 0 ], [ -4, 0, 0, 4, 4, -8, 0, 4, 0, 4, 0, \
0, -8, 0, -6, -2, 8, 4, 4, -2, -8, -10, -4, -9, 2, 0 ], [ -2, 0, 0, 2, 2, -4, 0, 2, 0, 2, 0, 0, -4, 0, -3, -1, 4, 2, 2, -1, -4, -5, -2, -4, 0, 0 ], [ -2, \
0, 0, 2, 2, -4, 0, 2, 0, 2, 0, 0, -4, 0, -3, -1, 4, 2, 2, -1, -4, -5, -2, -4, 1, -1 ] ] ), rec( GramQ := [ [ -34, 32, -48, -52, 2, 11, 12, 4, -2, -2, 2, 5\
, 8, 8, 2, 2, 3 ], [ 32, -32, 50, 52, -3, -9, -12, -4, 2, 2, -2, -5, -8, -8, -2, 0, -1 ], [ -48, 50, -128, -100, 10, -2, 14, 2, -4, -2, 0, 11, 16, 16, -6,\
 -8, -5 ], [ -52, 52, -100, -94, 7, 9, 20, 5, -4, -2, 2, 9, 14, 14, 0, -4, -1 ], [ 2, -3, 10, 7, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 11, -9, -\
2, 9, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 12, -12, 14, 20, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 4, -4, 2, 5, -2, -4, 0, -4, \
-2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, 2, -4, -4, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ -2, 2, -2, -2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ],\
 [ 2, -2, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 5, -5, 11, 9, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 8, -8, 16, 14, 0, 0, -2, 0,\
 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 8, -8, 16, 14, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, \
0 ], [ 2, 0, -8, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 3, -1, -5, -1, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0,\
 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 4, -4, 4, -4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 4, 0, 2, -8, 6, -4, 4, 2 ], [\
 0, -4, 0, 0, 6, -8, 6, -4, -2 ], [ 0, 4, 0, 0, -4, 6, -8, 6, 2 ], [ 0, -4, 0, 0, 4, -4, 6, -8, 0 ], [ 0, -2, 0, 0, 2, -2, 2, 0, -4 ] ], Sigma := [ [ 0, 0\
, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0\
, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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2, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 17, -15, 4, 15, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 27, -27, 29, 35, 0, -4, -12, 0, 2\
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, -8, 4 ], [ 0, 2, 0, 0, 2, -2, 0, 4, -4 ] ], Sigma := [ [ -1, 1, 0, 1, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -2, -2, 2 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1,\
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 [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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0, 1, -1, -11, -1, -7, 0, 7, 4, 2, -7, -8, -11, -5, -10, 7, 3 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0\
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, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1,\
 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 2, -4, 3, -1, -2, 2, -1, 1, -3, 4, 0, 0, 1, 0, 3, 3, 0, 1, -2, -2, 0, 1, -2, 0, 0, 0 ], [ \
1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1,\
 1, 0, 1, 0, 1 ], [ 2, -2, 2, -2, -2, 4, -2, 2, -4, 4, 0, 0, 1, 0, 3, 3, 0, 2, -4, -4, 0, 1, -1, -2, 1, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0\
, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1, 0, 0, -1, 1, \
0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1,\
 2 ] ], r := [ 7, 4, 9, 14, 12, 11, 8, 5, 4, 1 ], rlifts := [ [ -1, 1, 0, 1, 0, -2, 1, 1, -1, 2, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -1, -2, -1, -2, 2, 1 ] ]\
, rootsQ := [ [ 2, 0, 0, -1, 0, 0, 2, 0, 1, 0, -1, 0, -1, 1, 2, 1, -1 ], [ -2, 0, 0, 1, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -2, -1, 1 ], [ 1, -1, 0, -1, 0, 0\
, 2, 0, 1, 0, -1, 0, -1, 1, 2, 1, -1 ], [ -1, 1, 0, 1, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -2, -1, 1 ], [ 2, 0, 0, -1, 0, 0, 2, 0, 1, 0, -1, 0, -1, 1, 2, 2, \
-2 ], [ -2, 0, 0, 1, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -2, -2, 2 ], [ 1, -1, 0, -1, 0, 0, 2, 0, 1, 0, -1, 0, -1, 1, 2, 2, -2 ], [ -1, 1, 0, 1, 0, 0, -2, 0,\
 -1, 0, 1, 0, 1, -1, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], \
[ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ \
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2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, \
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0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
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0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 7, 5, 9, 14, 12, 11, 8, 5, 4, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 7, 4, 9, 14, 13, 11, 8, 5, 4, 1 ], [ -1\
4, -8, -18, -28, -24, -21, -16, -10, -8, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 14, 8, 18, 28, 24, 22, 16, 11, 8, 2 ], [ -14, -8, -18, -28, -24, -22, -\
16, -10, -7, -2 ], [ 14, 8, 18, 28, 24, 22, 16, 10, 8, 3 ] ], thegtilde := [ [ -16, 4, 1, 10, 5, -20, 12, 8, -8, 20, 0, 0, -20, 0, -10, -1, 11, 1, 11, -9,\
 -11, -23, -13, -15, 13, 5 ], [ -12, 3, 1, 6, 5, -14, 8, 6, -6, 14, 0, 0, -15, 0, -8, -2, 7, 1, 7, -8, -7, -17, -9, -10, 9, 3 ], [ -21, 4, 2, 12, 7, -24, \
14, 10, -10, 24, 0, 0, -25, 0, -13, -2, 13, 1, 13, -12, -13, -28, -16, -19, 16, 8 ], [ -29, 8, 3, 17, 9, -36, 22, 14, -14, 36, 0, 0, -37, 0, -19, -3, 19, \
1, 20, -17, -19, -42, -24, -29, 24, 11 ], [ -28, 7, 2, 16, 10, -34, 20, 14, -14, 34, 0, 0, -35, 0, -18, -3, 18, 2, 18, -17, -18, -40, -22, -26, 23, 9 ], [\
 -23, 6, 1, 14, 7, -27, 16, 12, -12, 28, 0, 0, -28, 0, -14, -1, 15, 1, 14, -14, -15, -31, -17, -21, 19, 7 ], [ -13, 4, 0, 9, 3, -16, 10, 7, -7, 16, 0, 0, \
-16, 0, -8, 0, 9, 0, 9, -7, -9, -18, -10, -13, 12, 5 ], [ -11, 3, 1, 6, 4, -14, 8, 7, -6, 14, 0, 0, -15, 0, -8, -1, 7, 1, 6, -8, -7, -16, -9, -11, 10, 3 ]\
, [ -9, 1, 0, 5, 4, -10, 5, 5, -4, 10, 0, 0, -11, 0, -6, -1, 5, 0, 5, -5, -5, -11, -6, -7, 7, 2 ], [ -2, 0, 0, 1, 1, -2, 1, 1, -1, 3, 0, 0, -3, 0, -1, 0, \
1, 0, 1, -2, -1, -3, -2, -2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, -1, 0, 1, 2, -2, 1, 1, -1, 2\
, 0, -1, -2, 0, -1, 0, 1, 0, 1, -1, -1, -2, -1, -1, 2, 1 ], [ -1, 0, 1, -1, 2, -2, 1, 1, -1, 2, 0, 0, -3, 0, -1, -1, 0, 1, 0, -2, 0, -3, -2, -3, 2, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ -2, 0, 0, 1, 1, -2, 1, 1, -1, 2, 0, 0, -2, 0, -1, -1, 1, 0, 1, -1, -1, -2, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, -1, -1, 0, 1, -1\
, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 2, -1,\
 -1, 0, -2, 4, -2, -2, 2, -4, 0, 0, 4, 0, 2, 1, -1, -1, -1, 3, 1, 5, 2, 2, -2, 0 ], [ -4, 0, 0, 2, 2, -4, 2, 2, -2, 4, 0, 0, -4, 0, -2, 0, 2, 0, 2, -2, -2\
, -4, -2, -1, 2, 0 ], [ -3, -1, 0, 1, 2, -2, 1, 1, -1, 2, 0, 0, -2, 0, -1, 0, 1, 0, 1, -1, -1, -2, -1, -1, 1, 1 ], [ -2, 0, 0, 1, 1, -2, 1, 1, -1, 2, 0, 0\
, -2, 0, -1, 0, 1, 0, 1, -1, -1, -2, -1, 0, 1, -1 ] ] ), rec( GramQ := [ [ -30, 28, -28, -38, 2, 11, 10, 4, 4, 2, 0, 1, 0, 2, 0, 2, 3 ], [ 28, -28, 30, 38\
, -3, -9, -10, -4, -4, -2, 0, -1, 0, -2, 0, 0, -1 ], [ -28, 30, -92, -70, 10, -2, 12, 2, 2, 2, -2, 7, 8, 10, -8, -8, -5 ], [ -38, 38, -70, -70, 7, 9, 18, \
5, 2, 2, 0, 5, 6, 8, -2, -4, -1 ], [ 2, -3, 10, 7, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 11, -9, -2, 9, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4\
, -4, -4 ], [ 10, -10, 12, 18, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 4, -4, 2, 5, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 4, -4, 2, \
2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, -2, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, \
-2, 0, 0 ], [ 1, -1, 7, 5, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 0, 8, 6, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 2, -2, 10, 8, -2, -\
2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 0, 0, -8, -2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 2, 0, -8, -4, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, \
-6, -4 ], [ 3, -1, -5, -1, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, -4, 4, 4, -4, 2 ], \
[ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, -4, 0, 2, -8, 6, 4, -4, 2 ], [ 0, 4, 0, 0, 6, -8, -2, 4, -2 ], [ 0, 4, 0, 0, 4, -2, -\
8, 6, -2 ], [ 0, -4, 0, 0, -4, 4, 6, -8, 4 ], [ 0, 2, 0, 0, 2, -2, -2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0\
, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ -1, 1, 0, 1, -1, 0, -1, 0, -1, -1, 1, 0, 1, 1, -1, -2, 0 ], [ 0, 0, -1, 1, 0, 0,\
 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl :\
= [ -11, 1, 2, 6, 3, -6, 0, 4, 2, -2, 1, -1, -7, -1, -9, -4, 7, 4, 2, -1, -8, -7, -1, -10, 1, 5 ], embQ := [ [ 1, 0, 0, 0, -2, 1, 1, -1, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1 ], [ 0, 1, 0, 0, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1 ], [ 0, 0, 1, 0, -3, 1, 3, -3, \
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, -2 ], [ 0, 0, 0, 1, -3, 1, 2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -5, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [\
 -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0,\
 3, 0, 2, 0, 1, -2, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0\
, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, 1, -4, 0, 0, 2, 0, 0, 0, 0, 1, -2, 1, 0, 2, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 2, -4\
, 2, 0, -2, 4, 0, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0, -3, -2, 0, 2, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0, 0, -2, 0, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, 0,\
 -2 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 3, -4, 0, 0, 2, 0, 0, -2, -1, 0, 1, 3, 1, 0, 0, 1, -2, 1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, \
0, -1, -1, 0, 0, -1, 2, 1 ] ], r := [ 4, 2, 5, 8, 7, 7, 6, 4, 3, 2 ], rlifts := [ [ -1, 1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 0, -1, 0, -1, -1, 1, 0, 1, 1, -1,\
 -1, 0, -2, 0, 2 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0\
, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0,\
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, rec( GramQ := [ [ -24, 22, 10, -17, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 22, -22, -8, 17, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 10,\
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, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -4, 8, -4, 0, 0, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, -4, 2, -8, 10, -4, 0, \
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2, -4, 2, 0, 2, -4 ] ], Sigma := [ [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1,\
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-1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -1, 4, 2, -1, 2, 0, 4, -6, 6, 1, -1, -3, -1, -1, 2, 5,\
 6, -4, -7, -6, -5, -3, -10, 3, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1\
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, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
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, -1, 2, -1, 1, 3, -8, 0, 0, 3, 0, -1, -1, 0, 1, -2, 3, 0, 3, 2, -1, -2, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0, -3, -2,\
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-1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 4, 2, 5, 8, 8, 6,\
 5, 4, 3, 1 ], rlifts := [ [ -1, 0, 0, 1, -1, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, -1, -1, -1, -1, -2, 0, 1 ] ], rootsQ := [ [ 1, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, \
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[ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -2, -2, -2, 0 ], [ 0, 0, -1, -1, 0, -1, 1, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1\
, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0\
 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 8, 6, 5, 4, 3, 1 ], [ 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 9, 8, 6, 5, 4, 3, 1 ], [ -8, -4, -10, -16, -15, -12, -10, -8, -6, -2 ], [ 4, 2, 5, 8, 8, 7, 5, 4, 3, 1 ], [ 0, 0,\
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[ [ -4, -1, 4, 0, -3, 6, 2, -2, -4, 6, 0, 0, 0, 0, 3, 2, 4, 4, -2, -5, -4, -6, -6, -9, 1, 3 ], [ -3, 0, 3, -1, -1, 4, 1, -1, -3, 4, 0, 0, -1, 0, 1, 0, 2, \
3, -2, -5, -2, -5, -4, -5, 0, 1 ], [ -5, -1, 6, -1, -3, 7, 2, -2, -5, 7, 0, 1, -2, 0, 2, 1, 5, 4, -2, -8, -4, -9, -8, -11, 0, 4 ], [ -7, -1, 7, 0, -5, 9, \
4, -4, -5, 9, 0, -1, 0, 0, 4, 2, 5, 6, -3, -7, -6, -9, -10, -15, 2, 7 ], [ -6, 0, 7, -1, -5, 10, 3, -3, -7, 10, 0, 0, -1, 0, 4, 2, 6, 7, -4, -10, -6, -11,\
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-1, 0, 2, 2, 4, 2, -1, -5, -3, -6, -5, -9, 2, 3 ], [ -2, 0, 3, -1, -2, 4, 1, 0, -3, 4, 0, 0, -1, 0, 1, 1, 2, 3, -3, -5, -2, -4, -4, -6, 1, 1 ], [ -2, 0, 3\
, -1, -2, 5, 0, 0, -4, 5, 0, 1, -2, 0, 1, 1, 3, 2, -2, -6, -2, -5, -4, -6, 0, 0 ], [ 0, 0, 1, -1, 0, 1, 0, 0, -1, 2, 0, 1, -2, 0, 0, 0, 1, 0, 0, -3, 0, -3\
, -2, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -2, 0, 2, 0, 0, -2, 2, 0, 1, -2, 0, 0, 0,\
 2, 0, 0, -4, 0, -4, -2, -2, -1, -1 ], [ 2, 0, 0, -2, 2, -2, 0, 0, 2, -2, 0, 0, -1, 0, -1, -2, -2, 0, 0, 1, 2, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 1, 0, 1, 1, -1, -2, -1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, -1, 0, 1, -3, 1, -1, 4, -3, 0, -1, 1, 0, -1\
, -2, -4, -2, 1, 4, 2, 3, 1, 3, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 1, 0, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, -2, -1, -1, -1, -1, -1, 0 ], [ -1, 0, 1, 0, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, -2, \
-1, -1, -1, -1, 0, -1 ] ] ), rec( GramQ := [ [ -24, -39, 10, -61, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -39, -102, 4, -139, -7, -12, -21, -5, 0\
, 4, -2, -7, -10, -12, 0, 2, 2 ], [ 10, 4, -22, 12, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -61, -139, 12, -198, -11, -12, -29, -6, 2, 4, -2, -\
11, -16, -18, 2, 6, 4 ], [ -5, -7, 3, -11, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -12, -11, -12, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4,\
 -4 ], [ -8, -21, -6, -29, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 0, 0, 2,\
 -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 4, 0, 4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -2, -2, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -\
2, 0, 0 ], [ -4, -7, 2, -11, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -10, 2, -16, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, -12, 2, \
-18, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, 0, -6, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, 2, -4, 6, 3, -4, 2, 0, 0, 0, 0, 0, 0\
, 0, 0, -6, -4 ], [ 4, 2, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -4, 0, 4, 8, -16\
, 10 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, -4, 2, -8, 2, 4, 8, -16, 10 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 4, 0, 4, 2, -8, -6, 16, -10 ], [ 0, 8, 0,\
 8, 0, -6, -20, 34, -20 ], [ 0, -16, 0, -16, 0, 16, 34, -68, 42 ], [ 0, 10, 0, 10, 0, -10, -20, 42, -28 ] ], Sigma := [ [ -3, 0, 0, 1, 0, 1, -2, 0, -2, 1,\
 3, 0, 1, -1, -2, -4, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1\
, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1\
, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ] ], adjweyl := [ -15, -1, 4, 10, -1, -6, 0, 12, -6, 6, 1, -1, -11, -1, -9, 2, 13, 6, 0, -7, -14, -9, -3, -18, 7, 7 ], embQ := [ [ 1, 0, 0, -1,\
 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -1, -2, 4, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 1 \
], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 2, -1, -3, 5, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 7, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, -2, \
4, 0, 0, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2, 1, 0, 0 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, \
1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, 1, 0, -1, 1, 1, 0 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, \
0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 5, -8, 0, 0, 1, 0, -3, \
-2, 1, 0, -1, 3, -1, 3, 3, -1, -3, 1 ], [ 1, 0, 0, -1, 1, 0, 1, -3, -7, 16, 0, 0, -3, 0, 5, 3, -1, 0, 1, -7, 1, -5, -5, 1, 3, -4 ], [ -1, 0, 0, 1, -1, 0, \
1, 1, 3, -10, 0, 0, 3, 0, -2, -1, 1, 0, 0, 5, -1, 3, 3, -1, -1, 4 ] ], r := [ 10, 6, 13, 20, 18, 16, 13, 8, 7, 3 ], rlifts := [ [ -3, 0, 0, 3, -1, -1, 0, \
2, -1, 1, 0, 1, -2, 0, -2, 1, 3, 0, 1, -1, -3, -2, -1, -4, 1, 2 ] ], rootsQ := [ [ -2, 0, 1, 1, 0, 1, -3, 0, -2, 0, 3, 0, 1, -2, -3, -4, 1 ], [ 2, 0, -1, \
-1, 0, -1, 3, 0, 2, 0, -3, 0, -1, 2, 3, 4, -1 ], [ -3, 0, 0, 1, 0, 1, -2, 0, -2, 1, 3, 0, 1, -1, -2, -4, 1 ], [ 3, 0, 0, -1, 0, -1, 2, 0, 2, -1, -3, 0, -1\
, 1, 2, 4, -1 ], [ -2, 0, 1, 1, 0, -1, -2, 0, -1, 0, 2, 1, 0, -1, -1, -3, 2 ], [ 2, 0, -1, -1, 0, 1, 2, 0, 1, 0, -2, -1, 0, 1, 1, 3, -2 ], [ -3, 0, 0, 1, \
0, -1, -1, 0, -1, 1, 2, 1, 0, 0, 0, -3, 2 ], [ 3, 0, 0, -1, 0, 1, 1, 0, 1, -1, -2, -1, 0, 0, 0, 3, -2 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, \
0, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0\
, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0,\
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 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1,\
 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 7, 13, 20, 18, 16, 13, 8, 7, 3 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
10, 6, 13, 21, 18, 16, 13, 8, 7, 3 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -10, -6, -13, -20, -18, -15, -13, -8, -7, -3 ], [ -20, -12, -26, -40, -36, -32, \
-25, -16, -14, -6 ], [ 40, 24, 52, 80, 72, 64, 52, 33, 28, 12 ], [ -30, -18, -39, -60, -54, -48, -39, -24, -20, -9 ], [ 10, 6, 13, 20, 18, 16, 13, 8, 7, 4\
 ] ], thegtilde := [ [ -41, -1, 9, 32, -8, -16, 2, 30, -14, 16, 0, 0, -32, 0, -24, 7, 41, 9, 9, -15, -41, -27, -11, -56, 22, 24 ], [ -31, 0, 7, 23, -5, -1\
2, 1, 23, -11, 12, 0, 0, -25, 0, -19, 4, 30, 7, 6, -13, -30, -21, -8, -41, 16, 17 ], [ -49, -1, 12, 37, -9, -19, 2, 36, -17, 19, 0, 1, -40, 0, -30, 7, 49,\
 10, 11, -20, -48, -34, -14, -67, 25, 29 ], [ -75, -1, 17, 58, -15, -29, 4, 54, -25, 29, 0, -1, -58, 0, -44, 12, 73, 16, 16, -27, -74, -48, -20, -103, 41,\
 46 ], [ -71, 0, 16, 55, -14, -28, 3, 53, -25, 28, 0, 0, -57, 0, -43, 11, 71, 16, 15, -28, -71, -48, -19, -97, 38, 41 ], [ -56, 0, 12, 44, -12, -21, 2, 42\
, -20, 22, 0, 0, -44, 0, -33, 10, 56, 12, 11, -22, -56, -36, -14, -76, 30, 32 ], [ -33, 0, 7, 26, -7, -13, 2, 25, -12, 13, 0, 1, -27, 0, -20, 6, 34, 6, 8,\
 -13, -33, -23, -9, -47, 19, 20 ], [ -30, 0, 7, 23, -6, -12, 1, 24, -11, 12, 0, 0, -25, 0, -19, 5, 30, 7, 5, -13, -30, -20, -8, -42, 17, 17 ], [ -22, 0, 5\
, 17, -4, -9, 0, 18, -8, 9, 0, 1, -20, 0, -15, 3, 23, 4, 5, -10, -22, -16, -6, -30, 11, 11 ], [ -7, 0, 2, 5, -1, -3, 0, 6, -3, 4, 0, 1, -8, 0, -5, 1, 8, 1\
, 2, -5, -7, -7, -3, -11, 4, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 2, 2, 0, -2, 0, 4, -2, 2, 0,\
 1, -6, 0, -4, 0, 6, 0, 2, -4, -4, -6, -2, -6, 1, 1 ], [ -4, 0, 2, 2, 0, -2, 0, 4, -2, 2, 0, 0, -5, 0, -3, 0, 4, 2, 0, -3, -4, -4, -2, -8, 3, 3 ], [ 0, 0,\
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0, 0, -4, 0, -3, 1, 5, 1, 1, -2, -5, -3, -1, -5, 2, 1 ] ] ), rec( GramQ := [ [ -24, 69, -12, 43, 5, 0, 5, 2, 0, -4, 2, 4, 5, 6, 0, -4, -4 ], [ 69, -210, 3\
6, -133, -16, 4, -18, -5, 2, 8, -4, -12, -16, -18, 2, 16, 14 ], [ -12, 36, -22, 22, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ 43, -133, 22, -86, \
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, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0,\
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, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 6, 3, 7, 12, 11, 9, 6, 4, 3, 1 ], rlifts := [ [ -1, 0, 1, 0, 0, -1, 1, 1, -1,\
 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, -1, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -\
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0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1\
", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 7, 12, 11, 9, 6, 4, 3, 1 ], [ 6, 3, 8, 12, 11, 9, 6, 4, 3, 1 ], [ 0, 0, 0, 1, 0, 0, 0\
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2, 0, -2, -2, 0, 1, 0 ] ] ), rec( GramQ := [ [ -88, 213, -23, 125, 6, 1, 7, 1, -1, 0, -2, 9, 12, 13, -8, 0, 0 ], [ 213, -530, 58, -313, -18, 2, -22, -3, 4\
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13, -18, -19, 10, 6, 4 ], [ 6, -18, 3, -11, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 1, 2, -11, 1, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4\
 ], [ 7, -22, -6, -15, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 1, -3, -3, -2, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -1, 4, 0, 3, -2,\
 -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ -2, 4, -2, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0,\
 0 ], [ 9, -22, 2, -13, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 12, -30, 2, -18, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 13, -32, 2, -19, \
-2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ -8, 18, -6, 10, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, 8, -4, 6, 3, -4, 2, 0, 0, 0, 0, 0, 0, \
0, 0, -6, -4 ], [ 0, 6, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, 0, 4, -4, 8, -6, \
2 ], [ 0, -2, -8, 2, 4, -4, 8, -6, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 4, 4, 2, -8, 6, -8, 6, -2 ], [ 0, -4, -4, 0, 6, -8, 10, -6, 2 ], [ 0, 8, 8, 0\
, -8, 10, -20, 14, -4 ], [ 0, -6, -6, 0, 6, -6, 14, -12, 4 ], [ 0, 2, 2, 0, -2, 2, -4, 4, -4 ] ], Sigma := [ [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1,\
 -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0,\
 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ] ], adjweyl := [ -13, -1, 6, 6, -3, 2, -4, 8, -2, 2, 1, -1, -7, -1, -7, 0, 7, 4, -4, -7, -8, -3, -1, -12, 1, 5 ], embQ := [ [ 1, 0, 0, -1, 0, -1, 3, -3,\
 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -1 ], [ 0, 1, 0, 1, 0, 2, -7, 7, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 10, 0, 0, 3 ], [ 0, 0, 1,\
 -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 1, 1, -4, 4, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0,\
 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], \
embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 ], [ 0, -3, 2, 1, -2, 0, 1, 1, -3, 2, 0, 0, 1, 0,\
 2, 3, 1, 0, 0, 0, -1, 1, -1, 0, 1, 2 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, -1, -2, -1, 1, -2, 3, -1 ], [ -1, 0, 0, 1, -1, 0, 1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 2, -1, 1, -2, 0, 2, -2, 0, 2, -2, 0, 0, 1, 0, 0, -1, -1, 1, -2, 0, 1, 1, 0, 0, -2, -1 ], \
[ -1, 0, 0, 1, 1, -4, 3, 1, -3, 2, 0, 0, -1, 0, 0, 1, 1, 0, 2, 0, -1, -2, -1, -1, 3, 2 ], [ 1, 0, 0, -1, 1, 2, -5, -1, 7, -4, 0, 0, -1, 0, -3, -4, -1, 0, \
-1, 1, 1, 1, 1, 1, -5, -3 ], [ -1, 0, 0, 1, -1, 0, 3, -1, -5, 4, 0, 0, 1, 0, 3, 3, 1, 0, 1, -1, -1, -1, -1, -1, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0\
, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 3, 7, 12, 11, 9, 8, 5, 4, 2 ], rlifts := [ [ -2, 0, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, -1, 0,\
 -1, 0, 1, 0, 0, -1, -1, 0, 0, -2, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1\
, 0, -1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 2, 0, -1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 1, 1, 0, 2, 0 ], [ -2, 0, 1, -1, 0, 0, -1, 0, -1, 0, 1, \
0, -1, -1, 0, -2, 0 ], [ 2, 0, -1, 1, 0, 0, 1, 0, 1, 0, -1, -1, 1, 1, 0, 2, 0 ], [ -2, 0, 1, -1, 0, 0, -1, 0, -1, 0, 1, 1, -1, -1, 0, -2, 0 ], [ 2, 0, -1,\
 1, 0, 0, 1, 0, 1, 0, -1, 1, 0, 1, 0, 2, 0 ], [ -2, 0, 1, -1, 0, 0, -1, 0, -1, 0, 1, -1, 0, -1, 0, -2, 0 ], [ 2, 0, -1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1, \
0, 2, 0 ], [ -2, 0, 1, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, -2, 0 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, \
0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 1, \
0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ -1, 0, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, \
1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ]\
, theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 7, 12, 11, 9, 8, 5, 4, 2 ], [ 6, 3, 8, 12, 11, 9, 8, 5, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
-6, -3, -7, -12, -10, -9, -8, -5, -4, -2 ], [ 6, 3, 7, 12, 11, 10, 8, 5, 4, 2 ], [ -12, -6, -14, -24, -22, -18, -15, -10, -8, -4 ], [ 12, 6, 14, 24, 22, 1\
8, 16, 11, 8, 4 ], [ -6, -3, -7, -12, -11, -9, -8, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -21, -1, 11, 10, -10, 10, -8, 8, 2, \
0, 0, 0, -10, 0, -10, -1, 11, 1, -4, -9, -11, -3, -3, -20, -2, 10 ], [ -15, 0, 8, 6, -6, 7, -6, 6, 1, 0, 0, 0, -8, 0, -8, -2, 7, 2, -4, -8, -7, -3, -2, -1\
3, -2, 6 ], [ -24, -1, 13, 11, -11, 11, -9, 9, 2, 0, 0, 0, -12, 0, -12, -2, 12, 2, -5, -11, -12, -4, -4, -22, -3, 12 ], [ -34, -1, 19, 15, -16, 16, -12, 1\
2, 4, 0, 0, 0, -17, 0, -17, -3, 17, 3, -7, -15, -17, -6, -6, -34, -3, 18 ], [ -35, 0, 19, 16, -17, 17, -14, 14, 3, 0, 0, 0, -18, 0, -18, -3, 18, 3, -8, -1\
7, -18, -6, -5, -33, -4, 16 ], [ -27, 0, 14, 13, -14, 14, -11, 11, 2, 0, 0, 0, -13, 0, -13, -1, 14, 2, -7, -13, -14, -3, -3, -25, -3, 12 ], [ -17, 0, 8, 9\
, -9, 8, -6, 7, 1, 0, 0, 0, -8, 0, -8, 0, 9, 0, -3, -7, -9, -2, -2, -17, 0, 9 ], [ -14, 0, 8, 6, -7, 7, -6, 7, 1, 0, 0, 0, -8, 0, -8, -1, 7, 2, -5, -8, -7\
, -2, -2, -14, -1, 6 ], [ -12, 0, 6, 6, -6, 6, -6, 6, 1, 0, 0, 0, -7, 0, -7, -1, 6, 0, -3, -6, -6, -1, -1, -10, -2, 4 ], [ -4, 0, 2, 2, -2, 2, -2, 2, 0, 1\
, 0, 0, -3, 0, -2, 0, 2, 0, -1, -3, -2, -1, -1, -4, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 2\
, 2, -2, 2, -2, 2, 0, 0, 0, -1, -2, 0, -2, 0, 2, 2, -2, -2, -2, 0, 0, -2, -1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, 0, -1, 1, \
-1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 2, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, -2, 0, -2, -1, 2, 0, -1, -2, -2, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0 ], [ \
4, 0, -1, -3, 2, -2, 3, -3, 1, 0, 0, 0, 2, 0, 2, -1, -4, 1, 0, 2, 3, 0, -1, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, 0 ], [ 3, 0, -3, 0, 1, -2, 2, -2, 0, 0, 0, 0, 2, 0, 2, 1, -1, -1, 2, 3, 1, 1, 0, 3, 1, -1 ], [ -8, 0, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, -4, 0, -4\
, 0, 4, 0, -2, -4, -4, 0, 0, -5, -2, 2 ], [ -4, 0, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, -1, -2, -2, 0, 0, -2, -2, 1 ], [ -4, 0, 2, 2, -2, 2\
, -2, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, -1, -2, -2, 0, 0, -2, -1, 0 ] ] ), rec( GramQ := [ [ -24, -28, 10, -50, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6,\
 4 ], [ -28, -50, 4, -76, -7, -8, -15, -5, -2, 2, -2, -5, -6, -8, 0, 4, 2 ], [ 10, 4, -22, 12, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -50, -76\
, 12, -124, -11, -8, -23, -6, 0, 2, -2, -9, -12, -14, 2, 8, 4 ], [ -5, -7, 3, -11, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, -8, -11, -8, 0, -12,\
 -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, -15, -6, -23, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, -5, -3, -6, -2, -4, 0, -4, -2, 0, -1\
, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 2, 0, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, -2, -2, \
-2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, -5, 2, -9, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, -6, 2, -12, 0, 0, -2, 0, 2, 0, 0, \
-2, -4, -2, 0, 0, 0 ], [ -6, -8, 2, -14, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, 0, -6, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, \
4, -4, 8, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, 2, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, \
0, 0 ], [ 0, -8, -2, 0, 0, 4, 4, -4, -2 ], [ 0, -2, -8, 2, 0, 4, 4, -4, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 4, 4, 0\
, 2, -8, -2, 4, 2 ], [ 0, 4, 4, 0, 0, -2, -8, 6, 2 ], [ 0, -4, -4, 0, 0, 4, 6, -8, 0 ], [ 0, -2, -2, 0, 0, 2, 2, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2\
, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, 0, 1, 1, 0, 1, -3, 0, -2, -1, 1, \
-1, 1, -2, -2, -2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1"\
, "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 7, 12, 11, 10, 8, 6, 5, 2 ], [ 6, 3, 8, 12, 11, 10, 8, 6, 5, 2\
 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -3, -7, -12, -11, -9, -8, -6, -5, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ \
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, 11 ], [ -4, 0, 2, 2, 0, -2, 2, 0, -2, 3, 0, 0, -3, 0, -1, 0, 2, 0, 2, -2, -2, -4, -3, -4, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
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 -3, -2, -2, 0, 3 ], [ -4, 0, 2, 2, 0, -2, 2, 0, -2, 2, 0, 0, -2, 0, -1, 0, 2, 0, 2, -1, -2, -3, -2, -2, 1, 2 ] ] ), rec( GramQ := [ [ -50, -7, -31, -55, \
1, 18, 16, 7, 2, -2, 4, 0, 0, 2, 8, 2, 2 ], [ -7, -22, -37, -29, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -31, -37, -78, -70, 9, 5, 18, 5, 0, -2, 2,\
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 ], [ 4, 0, 2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 0, 4, 6, 4, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 6, 8, 6, 0, 0, -2, 0, 2,\
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, [ 0, 16, -8, 8, 2, -20, 10, 4, -4 ], [ 0, -8, 4, -4, 0, 10, -8, 0, 2 ], [ 0, -4, 2, -2, 0, 4, 0, -4, 2 ], [ 0, 4, -2, 2, 0, -4, 2, 2, -4 ] ], Sigma := [\
 [ -1, 1, -1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -2, 2 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
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1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, 3, 0, 4, 5, -10, 6, 6, -4, 2, 1, -1, -7, -1, -7, -2, 7, 6, 2, -3, -8, -11, -3, -12, 7\
, 5 ], embQ := [ [ 1, 0, 0, 1, -3, 2, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, -1, 0, 1, -1, -1 \
], [ -1, -3, 2, 2, -3, 0, 2, 2, -6, 4, 0, 0, 1, 0, 3, 5, 2, 0, 0, -1, -2, 1, -1, -1, 3, 3 ], [ 2, 2, -3, -1, 2, 0, -1, -1, 3, -2, 0, 0, 0, 0, -1, -2, 0, 1\
, 0, 1, 0, -1, 1, 0, -1, -3 ], [ -2, 0, 0, 2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 1, 2, 0, -2, 1, 0, 0, 1, 0, 0, 2, 2 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, \
0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 2, 0, 0, -2, 4, -4, 0, -2, 6, -4, 0, 0, -1, 0, -3, -5, -2, 0, 2, 3, 2, -2, -1, 2, -3, -1 ], [ -2, 0\
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 -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 3, 8, 12, 11, 10, 7, 5, 4, 2 ], rlifts :\
= [ [ -1, 1, -1, 1, 1, -2, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -1, 0, -2, 2, 1 ] ], rootsQ := [ [ 1, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 0, -1, \
0, 1, 2, -2 ], [ -1, 1, -1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -2, 2 ], [ 0, -1, 0, 1, 0, 0, 2, 0, 1, 1, -1, 0, -1, 1, 2, 2, -2 ], [ 0, 1, 0, -1, 0, 0\
, -2, 0, -1, -1, 1, 0, 1, -1, -2, -2, 2 ], [ 2, -1, 1, -2, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 2, 2, -1 ], [ -2, 1, -1, 2, 0, 0, 0, 0, -1, 0, 1, 1, 1, 1, -2\
, -2, 1 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -1, 0, 3, 2, -1 ], [ -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 1, 0, -3, -2, 1 ], [ 0, 0, 0, 0, 0, 2, -1\
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, [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
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, "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 7, 16, 24, 22, 20, 14, 10, 8, 4 ], [ -6,\
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0, 0, 1 ] ], thegtilde := [ [ -9, 8, -3, 3, 10, -18, 15, 3, -3, 0, 0, 0, -10, 0, -9, -6, 10, 5, 10, 0, -9, -21, -7, -18, 12, 8 ], [ -7, 6, -2, 2, 7, -12, \
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 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 2, 0, 0, 8, 8, -20, 4 ], [ 0, 2, -4, 2, 0, 0, 0, 0\
, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 8, 0, 0, 2, -8, -2, 10, -2 ], [ 0, 8, 0, 0, 0, -2, -8, 12, -2 ], [ 0, -20, 0, \
0, 0, 10, 12, -28, 6 ], [ 0, 4, 0, 0, 0, -2, -2, 6, -4 ] ], Sigma := [ [ -2, 1, 0, 1, 0, 0, -2, 0, -2, 0, 2, 0, 0, -1, -1, -2, 1 ], [ 0, 0, 0, 0, 0, -2, 1\
, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
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, 0, 12, -2, 2, 1, -1, -11, -1, -11, -2, 7, 4, -2, -7, -8, -7, -1, -12, 5, 3 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, -1, 3, 3 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, \
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0, 1, 1, 0, -1, 1 ] ], r := [ 8, 4, 10, 16, 14, 12, 9, 5, 4, 2 ], rlifts := [ [ -2, 1, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, -1, -1, -1, 0\
, -2, 1, 0 ] ], rootsQ := [ [ 2, -1, 0, -1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, -1 ], [ -2, 1, 0, 1, 0, 0, -2, 0, -2, -1, 0, 0, 0, -1, -1, -2, 1 ], [ 2, -\
1, 0, -1, 0, 0, 2, 0, 2, 0, -1, 0, 0, 1, 1, 2, -1 ], [ -2, 1, 0, 1, 0, 0, -2, 0, -2, 0, 1, 0, 0, -1, -1, -2, 1 ], [ 2, -1, 0, -1, 0, 0, 2, 0, 2, 1, -1, 0,\
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, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0,\
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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 16, 9, 20, 32, 28, 24, 18, 10, 8, 4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0,\
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1, 2, 0, 0, -2, -2, -2, 0, -2, 1, -1 ] ] ), rec( GramQ := [ [ -24, -32, 10, -54, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ -32, -84, 5, -115, -5, -\
12, -15, -5, 0, 4, -2, -7, -10, -12, 0, -2, 0 ], [ 10, 5, -22, 13, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -54, -115, 13, -168, -9, -12, -23, -\
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7 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, 0, -1, -2, 4, -3, 1, 0, 0, 0, 0, 0, 0, 0\
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s := [ [ -2, 0, 1, 1, 0, -1, 0, 2, -1, 1, -1, 0, -2, 0, -1, 0, 2, 1, 0, -1, -2, -2, -1, -5, 2, 3 ] ], rootsQ := [ [ -2, 0, 1, 1, 1, 0, -2, 0, -2, 0, 2, 1,\
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0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], \
[ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1",\
 "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 22, 13, 28, 44, 42, 36, 28, 18, 14, 6 ]\
, [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 22, 12, 28, 45, 42, 36, 28, 18, 14, 6 ], [ -22, -12, -28, -44, -41, -36, -28, -18, -14, -6 ], [ -11, -6, -14, -22, -\
21, -17, -14, -9, -7, -3 ], [ -11, -6, -14, -22, -21, -18, -13, -9, -7, -3 ], [ 33, 18, 42, 66, 63, 54, 42, 28, 21, 9 ], [ -22, -12, -28, -44, -42, -36, -\
28, -18, -13, -6 ], [ 11, 6, 14, 22, 21, 18, 14, 9, 7, 4 ] ], thegtilde := [ [ -35, -1, 18, 17, 0, -17, 2, 32, -15, 17, 1, 0, -34, 0, -26, -1, 35, 18, 1, \
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3 ], [ -6, 0, 3, 3, 0, -3, 0, 6, -3, 4, 1, 0, -7, 0, -5, 0, 6, 3, 0, -6, -6, -7, -4, -12, 5, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0,\
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-14, 6, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 3, 0, -3, 0, -1, 2, 0, -4, 2, -2, 0, 0, 4, 0, 3, 1, -3, -3, 1, 4, 3, 5, 2, 7, -2, -2 ], [ -1\
6, 0, 8, 8, 0, -8, 0, 16, -8, 8, 2, 0, -16, 0, -13, 0, 16, 8, 0, -13, -16, -16, -8, -29, 11, 9 ], [ -8, 0, 4, 4, 0, -4, 0, 8, -4, 4, 2, 0, -8, 0, -7, 0, 8\
, 4, 0, -7, -8, -8, -4, -14, 5, 4 ], [ -8, 0, 4, 4, 0, -4, 0, 8, -4, 4, 2, 0, -8, 0, -7, 0, 8, 4, 0, -7, -8, -8, -4, -14, 6, 3 ] ] ), rec( GramQ := [ [ -4\
8, -26, -70, -74, 7, 9, 17, 6, 1, 0, 2, 4, 5, 7, 2, -6, -2 ], [ -26, -22, -56, -48, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -70, -56, -158, -130, 1\
5, -4, 19, 4, -1, 0, 0, 10, 13, 15, -6, -16, -10 ], [ -74, -48, -130, -124, 12, 7, 25, 7, -1, 0, 2, 8, 11, 13, 0, -12, -6 ], [ 7, 4, 15, 12, -4, 0, 0, -2,\
 -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 9, 0, -4, 7, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 17, 8, 19, 25, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2\
, 2, 0 ], [ 6, 1, 4, 7, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 1, -2, -1, -1, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2,\
 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 4, 4, 10, 8, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, \
0 ], [ 5, 6, 13, 11, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 7, 6, 15, 13, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -4, -2\
, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ -6, -4, -16, -12, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -2, -2, -10, -6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-4, -4 ] ], GramQperp := [ [ -8, 4, 0, 2, 2, -2, 0, 0, 0 ], [ 4, -8, 2, 0, -2, 2, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 \
], [ 2, -2, 0, 2, -4, 2, 0, 0, 0 ], [ -2, 2, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0\
, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0\
 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, \
0, -1, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -1, -5, 2, 2, -3, 2, 0, 4, -2, 2, 1, -1, 1, -1, 1, 4, 3, 4, -4, -1, -4\
, 1, -1, -4, 1, 1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -3, 0, 0, -1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0,\
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, 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -5, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
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, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, -1, 4, -3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, 0, 1, \
1, 1, -2, -2 ], [ 1, -3, 2, 0, 1, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, -2, 1, 0, 2 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, 1, -2, 1, 1, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 1,\
 0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1,\
 0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 ], rlifts :\
= [ [ 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2,\
 -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0,\
 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2,\
 -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1,\
 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 1, -1, \
0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0 ], [ -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 1, 0, -1, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, -1, 1,\
 1, 0, 0 ], [ -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 1, -1, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0 ], [ -1, 1, 0, 0, 0, 0, -1, \
0, -1, -1, 0, 0, 0, 0, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, -1, 0, 1, 0, 0 ], [ -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, 0 ], [\
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0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "\
A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, -1, 1, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0,\
 0, -1, 1, 1, 1, 1, -1, -3, -3, 0, -2, 0 ], [ 0, -1, 1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, -2, -2, 1, -2, -1 ], [ -1, -2, 2, 0, -1,\
 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, -3, -4, 0, -3, 1 ], [ -1, -2, 3, -1, -1, 1, 4, -4, 4, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 2, -1, -5, -6, -2\
, -3, 2 ], [ 0, -1, 2, -1, -1, 1, 3, -3, 3, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 1, -1, -5, -5, 1, -4, -1 ], [ -1, 0, 1, 0, -1, 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, -\
1, 1, 1, 0, 0, -1, -3, -3, 1, -3, -1 ], [ -1, 0, 0, 1, -1, 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -2, -2, -1, 0, 1 ], [ 0, 0, 1, -1, 0, 0, 1, 0\
, 1, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, -1, 0, -2, -2, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 2, -2, -2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 2, -1, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
-1, -1, 1, 0, -2, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -24, 22, 10, -25, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 22, -\
22, -8, 23, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 10, -8, -22, 27, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -25, 23, 27, -48, -6, 10, 2\
, 1, 2, -1, 2, -6, -8, -8, 7, 6, 4 ], [ -5, 4, 3, -6, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, 10, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2,\
 -4, -4, -4 ], [ -8, 8, -6, 2, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, 1, -3, 1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0,\
 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0,\
 -2, 0, 0 ], [ -4, 4, 2, -6, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 6, 2, -8, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, -8, -\
2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 7, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0,\
 0, -6, -4 ], [ 4, -2, -4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 4, 2, -4, 4, 0, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 \
], [ 4, 2, -8, 2, 4, -4, 0, 2, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -4, 0, 4, 2, -8, 6, 0, -2, 2 ], [ 4, 0, -4, 0, 6, -8, 2, 2, -2 ], [ 0, 0, 0, 0, 0, \
2, -4, 2, 0 ], [ -2, 0, 2, 0, -2, 2, 2, -4, 2 ], [ 2, 0, -2, 0, 2, -2, 0, 2, -4 ] ], Sigma := [ [ 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, -1, 1 ], \
[ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ \
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-1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := \
[ -5, -1, -2, 6, 1, -6, 4, 4, -2, 2, 1, -1, -3, -1, -3, 2, 7, 4, 2, 1, -8, -5, -1, -8, 5, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0,\
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, 1, 0, 0, 0, 0, 2, -4, 2, 0, 0, -1, 0, 0, 1, 1, 1, -1, -3, -1, -1, 0, 0, 1, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1\
, 1, -1, 1 ], [ 2, 2, -3, -1, 2, 0, -1, -1, 3, -2, 0, 0, 0, 0, -1, -2, 0, 1, 0, 1, 0, -1, 1, 0, -1, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0\
, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 0, -1, 1, 0, -2, 2, 0, 2, -4, 2, 0, 0, 1, 0, 2, 3, 1, 1, -2, -2, -1, 1, 0, -2, 2, 1 ], [ 1, 0, 0, -1, 3, -4, 1, -\
1, 3, -2, 0, 0, -1, 0, -2, -3, -1, 0, 2, 2, 1, -2, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, \
2, 0, 1, 1, 0, -1, 1 ] ], r := [ 2, 2, 4, 5, 4, 4, 3, 2, 2, 1 ], rlifts := [ [ 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, -1, 0, 0, -1,\
 1, 0 ] ], rootsQ := [ [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, -1 ], [ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, 1 ], [ 0, 0, 1, 1,\
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 1, -1 ], [ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 1, -1 ], [ 0, 0, -1, -1, 0, 0, 0, 0\
, 0, 1, 1, 0, 1, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ \
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1, 0, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1\
, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0,\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 3, 2, 4, 5, 4, 4, 3, 2, 2, 1 \
], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -4, -4, -3, -2, -2, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 4, 5, 5, 4, 3, 2, 2, 1 ], [ -2,\
 -2, -4, -5, -4, -3, -3, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 2, 2, 4, 5, 4, 4, 3, 3, 2, 1 ], [ -2, -2, -4, -5, -4, -4, -3, -2, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, -1, -3, 4, 0, -4, 6, -2, 2, 0, 0, 0, 0, 0, 0, 1, 5, 1, 5, 5, -5, -5, -3, -4, 2, 2 ], [ -1, 0, -3, 3,\
 1, -4, 5, -1, 1, 0, 0, 0, -1, 0, -1, 0, 4, 1, 4, 3, -4, -5, -2, -3, 2, 1 ], [ -2, -1, -4, 6, 0, -6, 8, -2, 2, 0, 0, 0, -1, 0, -1, 1, 7, 1, 7, 6, -7, -7, \
-4, -6, 3, 4 ], [ -2, -1, -6, 8, 0, -9, 13, -4, 4, 0, 0, 0, -1, 0, -1, 2, 11, 1, 11, 10, -10, -11, -6, -11, 6, 6 ], [ -1, 0, -6, 7, 0, -8, 11, -3, 3, 0, 0\
, 0, -1, 0, -1, 1, 9, 2, 9, 8, -9, -10, -5, -7, 4, 3 ], [ -1, 0, -5, 6, -1, -5, 8, -2, 2, 0, 0, 0, 0, 0, 0, 2, 7, 1, 6, 6, -7, -6, -3, -5, 3, 2 ], [ -1, 0\
, -3, 4, -1, -3, 5, -1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 0, 4, 4, -4, -3, -2, -4, 3, 3 ], [ 0, 0, -3, 3, 0, -4, 5, 0, 1, 0, 0, 0, -1, 0, -1, 1, 4, 1, 3, 3, -4, \
-4, -2, -4, 3, 1 ], [ 0, 0, -2, 2, 0, -2, 2, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 2, 2, -2, -2, -1, 0, 0, -1 ], [ 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, 0, -1, \
0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, 2, -1, 0 ], [ 1, 0, -1, 0, 1, -2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 1, 1, -1, -2, -1, -3, 2, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, -2, 3, -1, 1, 0, 0, \
0, 0, 0, 0, 1, 2, -1, 2, 2, -1, -2, -1, -4, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, 1, 0, -1,\
 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 2, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, -2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -12, 11, -30, -22, 2, -1, 0, 0, 0, 2, -2, 3, 4, 4, -4, 0, 1 ], [ 11, -12, 33, 23, -3, 3, 0, 0, 0, -2, 2, -3, -4, -4,\
 4, 2, 1 ], [ -30, 33, -114, -74, 10, -14, 2, -2, -2, 2, -4, 9, 12, 12, -12, -10, -7 ], [ -22, 23, -74, -56, 7, -3, 8, 1, -2, 2, -2, 7, 10, 10, -6, -6, -3\
 ], [ 2, -3, 10, 7, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ -1, 3, -14, -3, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ 0, 0, 2, 8, 0, -\
4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 0, 0, -2, 1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, 0, -2, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, \
0, 0, 0, 0 ], [ 2, -2, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ -2, 2, -4, -2, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ 3, -3, 9, 7, -1, -\
1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 4, -4, 12, 10, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ 4, -4, 12, 10, -2, -2, 0, -2, 0, 0, 0, -2, -2, -\
4, 0, 0, 0 ], [ -4, 4, -12, -6, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, 2, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 1, 1, -7, -3,\
 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, 4, -4, 4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0,\
 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 4, 0, 0, 0, 2, -8, 6, -4, 2 ], [ -4, 0, 0, 0, 0, 6, -8, 6, -2 ], [ 4, 0, 0, 0, 0, \
-4, 6, -8, 4 ], [ -2, 0, 0, 0, 0, 2, -2, 4, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, \
0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 0, 0,\
 -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0\
 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -3, -3, 2, 2, 3, -6, 4, 0, -2,\
 6, 1, -1, -3, -1, -1, 0, 3, 4, 2, -1, -4, -7, -5, -6, 3, 3 ], embQ := [ [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
 ], [ 0, 1, 0, 0, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, -1, -1, 3, -3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, -4, 0, 0, -3 ], [ 0, 0, 0, 1, -1, -1, 2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -3, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
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, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -3, 4,\
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 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, 0, -2, -2, 0\
, 0, 2, 3, 0, -1, 0, 0, 0, 2 ], [ -1, 0, 0, 1, -1, 2, -3, 1, -1, 4, 0, 0, -2, 0, 0, 1, 1, 0, -1, -3, -1, 0, 0, -1, 0, -2 ], [ 1, 0, 0, -1, 1, 0, 1, -3, 3,\
 -4, 0, 0, 2, 0, 0, -2, -1, 0, 1, 3, 1, 0, 0, 1, -2, 1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, 0, 0, -1, 2, 1 ] ], r := [\
 1, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], rlifts := [ [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, -1, -1, 1, 1 ] ], rootsQ := [ [ 0, 0,\
 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0,\
 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, \
0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1 ],\
 [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1\
, 1, -1, -1, 1 ], [ -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ 0,\
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 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "\
A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -1, -1, -2, -3, -3, -2, -2, -2, -1, 0 ], [ 1, 1\
, 2, 3, 3, 3, 3, 2, 1, 0 ], [ -1, -1, -2, -3, -3, -3, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, 1, 2, 3, 3, 3, 2, 2, 1, 1 ] ], thegtilde := \
[ [ 0, -2, 1, 0, 1, -2, 4, -4, 2, 2, 0, 0, 0, 0, 1, -1, 1, 1, 3, 2, -1, -5, -5, -1, -1, 1 ], [ 0, -1, 1, -1, 2, -2, 3, -3, 1, 2, 0, 0, -1, 0, 0, -2, 0, 1,\
 2, 0, 0, -5, -4, 0, -1, 0 ], [ 0, -2, 2, 0, 1, -3, 5, -5, 2, 3, 1, 0, -1, 0, 0, -2, 1, 1, 4, 1, -1, -7, -7, -1, -1, 1 ], [ 0, -2, 3, -1, 1, -3, 7, -7, 4,\
 3, 1, 0, -1, 0, 0, -3, 1, 1, 5, 2, -1, -9, -9, -3, -1, 2 ], [ 1, -2, 2, -1, 2, -4, 7, -7, 3, 4, 0, 0, -1, 0, 1, -3, 1, 2, 5, 2, -1, -10, -9, -1, -2, 1 ],\
 [ 1, -2, 1, 0, 1, -3, 6, -6, 2, 4, 0, 0, 0, 0, 2, -1, 1, 1, 4, 2, -1, -7, -7, -1, -1, 1 ], [ 0, -1, 0, 1, 0, -2, 4, -3, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 3, \
2, -1, -4, -4, -2, 1, 2 ], [ 1, -1, 1, -1, 1, -2, 3, -2, 1, 2, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, 0, -4, -4, -1, 0, 0 ], [ 1, -1, 0, 0, 1, -2, 2, -2, 1, 2, 0\
, 0, -1, 0, 0, -1, 0, 0, 2, 1, 0, -3, -3, 1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, 0, -\
2 ], [ 1, 1, 1, -2, 0, 1, -1, 1, 0, -1, 1, 0, -1, 0, -1, -1, -1, 1, -2, -2, 1, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, \
0, 1, -1, 0, 0, 1, 1, 0, -1, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, 1, 1, -1, -1, 2, -1, 1, 1, -2, 0, 0, 0, 0, -1, -1, -2, -1, -2, -1, 1, 2, 1, -1,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1,\
 1, -1, 1, 0, -1, 1, 1 ], [ 1, -1, 0, 0, 1, -2, 2, -2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, -2, -2, 2, -1, -1 ], [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 1, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -1, -2 ], [ 0, -1, 0, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, -1, 1, -1, 0 ] ] ), rec( GramQ :\
= [ [ -36, 36, -13, -14, -3, -7, -13, -2, 0, 0, 0, -4, -6, -6, 2, 0, -1 ], [ 36, -38, 17, 16, 2, 9, 13, 2, 0, 0, 0, 4, 6, 6, -2, 2, 3 ], [ -13, 17, -56, -\
25, 5, -20, -11, -4, -2, 0, -2, 2, 2, 2, -6, -10, -9 ], [ -14, 16, -25, -16, 2, -9, -5, -1, -2, 0, 0, 0, 0, 0, 0, -6, -5 ], [ -3, 2, 5, 2, -4, 0, 0, -2, -\
2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ -7, 9, -20, -9, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -13, 13, -11, -5, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0\
, -2, 2, 0 ], [ -2, 2, -4, -1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 0, 0, -2, -2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 4, 2, 0, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2,\
 0, 0, 0 ], [ -6, 6, 2, 0, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, 0, -2, -2, 0, -2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 0, 0, -\
4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 0, 2, -10, -6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ -1, 3, -9, -5, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-4, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 0, 2, -2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 \
], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 2, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 2, -4 ] ], Sigma := [ [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, -2, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0\
, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0,\
 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -3, 2, 6, -1, -2, -4, 8, 2, 2, 1, -1, -7, -1, -7, 0, 7, 4, -2, -3,\
 -8, -3, -1, -10, 1, 1 ], embQ := [ [ 1, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 0, 2, -2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 1, -1, \
0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -3, 2, 2, -1, 1, 0, -3, 5, -3, 0, 0, 0, -3, 0, -3, -1, 1, 2, -3, -5, -1, -1,\
 1, 1, -1, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 1, 0, 0, -1, -1, 1, -1, 1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -\
1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ 0, 0,\
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, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], rlifts := [ [\
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A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 5, 3, 6, 9, 9, 8, 7, 5, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1\
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6, 3, 6, -3, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 2, 9, 3, 3, 3, -9, -4, -4, -13, 1, 7 ], [ -1, -2, 1, 2, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 3, 1, 1, 0, -3,\
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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, -3, -1, -1, -3, -1, 2 ], [ -1, -2, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, -3, -1, -1, -\
3, 0, 1 ] ] ), rec( GramQ := [ [ -8, 8, 1, -1, -2, -4, -1, 2, 0, 0, -2, -4, -4, -2, 0, 0, 0 ], [ 8, -10, 1, 0, 4, 4, 1, -2, 0, 0, 2, 4, 4, 0, 0, 2, 2 ], [\
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, -2, 2, -2, -1, 0, -2, 4, -4, -4, -4 ], [ -4, 4, -6, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -4, -2, 2, 0 ], [ -1, 1, -3, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2,\
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-4 ] ], GramQperp := [ [ -8, 0, -4, 8, -2, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 8, -2, 0, 0, 0, 0 ], [ 8, 0, 8, -12, 4, 0, 0, 0, 0 ]\
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 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, -1 ], [ 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 0, 2, 1, 1 ], [ 0, 0, 0, 0, \
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], [ 0, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 0, 2, 1, 0 ], [ 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, -1, 2, 4, -1, -2, 2, 2, 0, 2, 1, -1, -3, -1, -3, 0, 1, 0, 0, -1, -2\
, -1, -1, -2, 1, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 1, -1, 0, -2, 0, 2, -1\
, -1 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1 ], [ 0, 3, -4, 1, 2, -2, 1, -1, 1, 0, 0, 0, -1, 0, -1, -1, 1, 0\
, 2, 1, -1, -2, 1, 0, 1, -2 ], [ 1, -2, 2, -1, -3, 4, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, -1, 0, -3, -1, 1, 3, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0,\
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0, 0, -1, 1, 0, 1, -3, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 0 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, -1, -1, \
0, 0, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts :=\
 [ [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, \
0, -1 ], [ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, 0, -2, -1, -1 ], [ 0, 0, 0, 0, -2, 1, 0, 1\
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0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, -1, 0 ], [ 0, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, \
1, 0, 0 ], [ 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, -1, 0, 0 ], [ -1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0 ], [ 1, 0, 1, 0, 0, -1, 0, 0,\
 -1, 0, 0, 0, -1, 1, -1, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
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0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A\
1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -2, -1, 0, 2, -1, 0, 2, -2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 1, 2, -1, -1, -2, 1, -2, 1 ], [ -2, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, -1, -1, 2, -2, 0 ], [ -3, -1, 1, 2, -1, 0, 2, -2, 2,\
 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -2, -3, 1, -3, 2 ], [ -4, -1, 0, 4, -2, 0, 3, -3, 3, 0, 0, 0, 2, 0, -1, 0, -1, 0, 1, 3, -2, -1, -3, 0, -3, 4 ], [ \
-3, 0, 0, 3, -2, 0, 3, -3, 3, 0, 0, 0, 1, 0, -1, -1, -1, 0, 1, 2, -1, -2, -3, 3, -4, 1 ], [ -2, 0, 0, 2, -2, 1, 2, -2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1,\
 -1, -1, -2, 2, -3, 0 ], [ -1, 0, 0, 1, -1, 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -2, -2, -1, 0, 1 ], [ -1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 0, 0, \
0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, -1, 2, -2, -2 ], [ 0, 0, 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, 1,\
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3, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 2, -1, -2 ] ] ), rec( GramQ := [ [ -90, 37, -24, -49, -7, 3, -11, 0, 4, 5, -1, -8, -12, -12, 4, 6, 6 ], [ 37, -22, 7, 15, 4, 0, 8, 1, -2, 0,\
 0, 4, 6, 6, -2, -4, -2 ], [ -24, 7, -24, -17, 1, -10, -9, -2, 2, 5, -3, -2, -4, -4, -4, -4, -2 ], [ -49, 15, -17, -32, -2, 1, -3, 1, 2, 5, -1, -4, -6, -6\
, 2, 0, 2 ], [ -7, 4, 1, -2, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 3, 0, -10, 1, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -11, 8, -\
9, -3, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 0, 1, -2, 1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 4, -2, 2, 2, -2, -2, 2, -2, -4, 0,\
 0, 0, 2, 0, 0, 0, 0 ], [ 5, 0, 5, 5, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ -1, 0, -3, -1, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -8, 4, -2\
, -4, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -12, 6, -4, -6, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -12, 6, -4, -6, -2, -2, 0, -2, 0, 0,\
 0, -2, -2, -4, 0, 0, 0 ], [ 4, -2, -4, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 6, \
-2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, -4, 2, -4, 2, -8, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 2,\
 -4, 2, -8, 2, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -4, 0, -4, 2, -12, 4, -12, 6, -2 ], [ 2, 0, 2, 0, 4, -4, 4, 0, 0 ], [ -8, 0, -8, 0, -12, 4, -20, 8, \
-2 ], [ 2, 0, 2, 0, 6, 0, 8, -8, 4 ], [ 0, 0, 0, 0, -2, 0, -2, 4, -4 ] ], Sigma := [ [ -1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, -2, 1 ], [ 0, 0, 0\
, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0,\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -5\
, 6, 6, -3, -2, 0, 8, -6, 10, 1, -1, -7, -1, -3, 4, 7, 4, -2, -7, -8, -5, -5, -12, 5, 5 ], embQ := [ [ 1, 0, 0, 1, -1, 0, -2, 3, -3, 2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 3, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -2, 0, 0, 1, -1, 2, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -2, 1, 1\
, 0, 0, 2, -4, 2, 0, 0, 0, 0, -2, 0, -2, -1, 1, 1, -2, -3, -1, 0, 1, 0, -2, -2 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1\
, 1, -1, 1 ], [ 0, 2, -3, 1, 0, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 2, 1, -1, -1, -2, 0, 2, -2, 0, -3 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0,\
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], [ 1, 0, 0, -1, 1, 0, 1, -3, -1, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, -2, -2, 1, 0, -1 ], [ -1, 0, 0, 1, -1, 0, 1, 1, -1, -2, 0, 0, 1, 0, 0, 1, 1, 0, 0\
, 1, -1, 1, 1, -1, 1, 2 ] ], r := [ 6, 4, 8, 13, 12, 10, 8, 5, 4, 1 ], rlifts := [ [ -1, -1, 1, 1, -1, 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, -1,\
 0, -1, -2, 1, 1 ] ], rootsQ := [ [ 1, 1, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, 2, -1 ], [ -1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, -1, -2, 1 ],\
 [ 1, 1, -1, -1, 0, 0, 1, 0, 0, -1, -2, 0, 0, 1, 1, 2, -1 ], [ -1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 2, 0, 0, -1, -1, -2, 1 ], [ 1, 1, -1, -1, 0, 0, 1, 0, 0, -\
1, 0, 0, 0, 1, 0, 2, -1 ], [ -1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, -2, 1 ], [ 1, 1, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 0, 2, -1 ], [ -1, -\
1, 1, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, -2, 1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1,\
 -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ \
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1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 7, \
4, 8, 13, 12, 10, 8, 5, 4, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 9, 13, 12, 10, 8, 5, 4, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -8, -13\
, -11, -10, -8, -5, -4, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -13, -12, -10, -7, -5, -4, -1 ], [ 12, 8, 16, 26, 24, 20, 16, 11, 8, 2 ], [ \
-12, -8, -16, -26, -24, -20, -16, -10, -7, -2 ], [ 12, 8, 16, 26, 24, 20, 16, 10, 8, 3 ] ], thegtilde := [ [ -11, -11, 11, 10, -10, 0, 2, 8, -8, 20, 0, 0,\
 -10, 0, 0, 9, 11, 1, 1, -9, -11, -8, -13, -20, 8, 10 ], [ -9, -8, 9, 7, -7, 0, 1, 7, -7, 16, 0, 0, -9, 0, -1, 6, 8, 1, 0, -9, -8, -7, -10, -15, 6, 7 ], [\
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, 0, -18, 0, -1, 14, 19, 1, 2, -16, -18, -15, -23, -36, 14, 19 ], [ -19, -18, 20, 17, -18, 0, 3, 15, -15, 36, 0, 0, -19, 0, -1, 15, 19, 2, 1, -18, -19, -1\
5, -23, -35, 14, 17 ], [ -15, -14, 15, 14, -15, 1, 2, 12, -12, 28, 0, 0, -14, 0, 0, 13, 15, 1, 0, -14, -15, -10, -17, -27, 11, 13 ], [ -9, -8, 8, 9, -9, 0\
, 2, 7, -7, 16, 0, 0, -8, 0, 0, 8, 9, 0, 1, -7, -9, -6, -10, -17, 8, 9 ], [ -7, -7, 8, 6, -7, 0, 1, 7, -6, 14, 0, 0, -8, 0, -1, 6, 8, 1, -1, -8, -7, -6, -\
9, -14, 6, 6 ], [ -6, -6, 6, 6, -6, 0, 0, 6, -5, 12, 0, 0, -7, 0, -1, 5, 6, 0, 0, -6, -6, -4, -7, -10, 4, 4 ], [ -1, -1, 1, 1, -1, 0, 0, 1, -1, 3, 0, 0, -\
2, 0, 0, 1, 2, 0, 0, -2, -1, -2, -2, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, 2, 2, -2, 0,\
 0, 2, -2, 4, 0, -1, -2, 0, 0, 2, 2, 0, 0, -2, -2, -1, -2, -2, 1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, -1, -1, 1, -2, -1, -1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ -2, -2, 2, 2, -2, 0, 0, 2, -2, 4, 0, 0, -2, 0, 0, 1, 0, 0, 0, -2, -2, 0, -2, -2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -1, -3, 2, 0\
, 1, -3, 3, -4, 0, 0, 2, 0, 0, -3, -2, -1, 0, 2, 3, 0, 1, 2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [\
 1, 2, -3, 0, 1, 0, 0, -2, 2, -4, 0, 0, 2, 0, 0, -1, -1, -1, 1, 3, 1, 2, 2, 3, -1, -1 ], [ -4, -4, 4, 4, -4, 0, 0, 4, -4, 8, 0, 0, -4, 0, 0, 4, 4, 0, 0, -\
4, -4, -2, -4, -5, 2, 2 ], [ -2, -2, 2, 2, -2, 0, 0, 2, -2, 4, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -2, -1, -2, -2, 0, 1 ], [ -2, -2, 2, 2, -2, 0, 0, 2, -2, 4,\
 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, -2, -1, -2, -2, 1, 0 ] ] ), rec( GramQ := [ [ -38, 19, 2, -15, -6, 4, -6, 0, -2, 2, 0, -3, -3, -4, 4, 6, 6 ], [ 19, -22, \
-11, -3, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 2, -11, -24, -9, 2, -9, -4, -2, -4, 2, -2, 3, 5, 4, -4, -4, -2 ], [ -15, -3, -9, -16, -1, 2, 2, 1,\
 -4, 2, 0, 1, 3, 2, 2, 0, 2 ], [ -6, 4, 2, -1, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 4, 0, -9, 2, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, \
-4 ], [ -6, 8, -4, 2, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ 0, 1, -2, 1, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ -2, -2, -4, -4, -2,\
 -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 2, 0, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, \
0 ], [ -3, 4, 3, 1, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -3, 6, 5, 3, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -4, 6, 4, 2, -2, -2, 0, -\
2, 0, 0, 0, -2, -2, -4, 0, 0, 0 ], [ 4, -2, -4, 2, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 0, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 \
], [ 6, -2, -2, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, 0, -4, 2, 0, 8, 0, -6, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2,\
 -8, 2, 0, 8, 0, -6, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 8, 0, 8, 0, 2, -20, 2, 12, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 \
], [ -6, 0, -6, 0, 0, 12, 2, -12, 4 ], [ 2, 0, 2, 0, 0, -4, 0, 4, -4 ] ], Sigma := [ [ -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 1, -1, -2, 1 ], [ 0, 0, \
0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1\
, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -\
5, 6, 6, 1, -10, 4, 8, -2, 2, 1, -1, -7, -1, -7, 0, 7, 4, 2, -1, -8, -7, -5, -12, 5, 9 ], embQ := [ [ 1, 0, 0, 1, 0, -2, -1, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 3, 0, 0, 3 ], [ 0, 1, 0, 1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1 ], [ 0, 0, 1, 1, -1, -2, 1, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, -2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -2, 1, 1,\
 0, 0, 0, 0, 2, -4, 2, 0, 0, -1, 0, 0, 1, 1, 1, -1, -3, -1, -1, 0, 0, 1, 0 ], [ 1, -3, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 1,\
 -1, 1 ], [ 0, 2, -3, 1, 0, 0, 1, 1, -3, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, -1, -2, -1, 1, -2, 3, -1 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1\
, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 0 ], [ 2, 0, 0, -2, 4, -4, 0, -2, 6, \
-4, 0, 0, -1, 0, -3, -5, -2, 0, 2, 3, 2, -2, -1, 2, -3, -1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ],\
 [ -1, 0, 0, 1, -1, 0, 3, -1, -5, 4, 0, 0, 1, 0, 3, 3, 1, 0, 1, -1, -1, -1, -1, -1, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, \
2, 0, 1, 1, 0, -1, 1 ] ], r := [ 6, 4, 8, 13, 12, 11, 8, 5, 4, 2 ], rlifts := [ [ -1, -1, 1, 1, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 1, 1, -1, -1,\
 -1, -2, 1, 2 ] ], rootsQ := [ [ -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 1, -1, -2, 1 ], [ 1, 1, -1, -1, 0, 0, 1, 0, 1, 0, -1, 0, -1, -1, 1, 2, -1 ], [\
 -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 1, -1, 1, 1, -1, -2, 1 ], [ 1, 1, -1, -1, 0, 0, 1, 0, 1, 0, -1, 1, -1, -1, 1, 2, -1 ], [ -1, -1, 1, 1, 0, 0, -1, 0, -1,\
 0, 1, 1, 1, 0, -1, -2, 1 ], [ 1, 1, -1, -1, 0, 0, 1, 0, 1, 0, -1, -1, -1, 0, 1, 2, -1 ], [ -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -2, 1 ], [ 1\
, 1, -1, -1, 0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1\
, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1 ], [ 1, 1, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1,\
 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 ], [ -1, 0, -1, 2, 0,\
 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [\
 7, 4, 8, 13, 12, 11, 8, 5, 4, 2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 9, 13, 12, 11, 8, 5, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0 ], [ -12, -8, -16, -26, -24, -21, -16, -10, -8, -4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 12, 8, 16, 26, 24, 22, 16, 11, 8, 4 ], [ -6, -\
4, -8, -13, -12, -11, -8, -5, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -11, -11, 11, 10, 0, -20, 12, 8, 2, 0, 0, 0, -10, 0, -10, -1,\
 11, 1, 11, 6, -11, -13, -13, -20, 8, 20 ], [ -9, -8, 9, 7, 1, -16, 9, 7, 1, 0, 0, 0, -9, 0, -9, -2, 8, 1, 8, 3, -8, -11, -10, -15, 6, 15 ], [ -14, -13, 1\
4, 12, 0, -24, 14, 10, 2, 0, 0, 0, -13, 0, -13, -2, 13, 1, 13, 6, -13, -16, -16, -24, 9, 25 ], [ -19, -18, 20, 16, 0, -34, 21, 13, 4, 0, 0, 0, -18, 0, -18\
, -3, 18, 2, 19, 9, -18, -23, -23, -36, 14, 36 ], [ -19, -18, 20, 17, 0, -36, 21, 15, 3, 0, 0, 0, -19, 0, -19, -3, 19, 2, 19, 9, -19, -24, -23, -35, 14, 3\
5 ], [ -16, -15, 16, 15, -1, -29, 17, 13, 2, 0, 0, 0, -15, 0, -15, -1, 16, 2, 15, 7, -16, -18, -18, -29, 12, 29 ], [ -9, -8, 8, 9, -1, -16, 10, 7, 1, 0, 0\
, 0, -8, 0, -8, 0, 9, 0, 9, 5, -9, -10, -10, -17, 8, 17 ], [ -7, -7, 8, 6, 0, -14, 8, 7, 1, 0, 0, 0, -8, 0, -8, -1, 7, 2, 6, 2, -7, -9, -9, -14, 6, 13 ], \
[ -6, -6, 6, 6, 0, -12, 6, 6, 1, 0, 0, 0, -7, 0, -7, -1, 6, 0, 6, 3, -6, -7, -7, -10, 4, 10 ], [ -2, -2, 2, 2, 0, -4, 2, 2, 0, 1, 0, 0, -3, 0, -2, 0, 2, 0\
, 2, 0, -2, -3, -3, -4, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, 2, 2, 0, -4, 2, 2, 0, 0, 0, -\
1, -2, 0, -2, 0, 2, 0, 2, 1, -2, -2, -2, -2, 1, 3 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ -2, -2, 2, 2, 0, -4, 2, 2, 0, 0, 0, 0, -2, 0, -2, -1, 2, 0, 2, 1, -2, -2, -2, -2, 1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 2, 2, -1, -3, 0, 4, -1, -3, 1, 0,\
 0, 0, 2, 0, 2, -1, -4, 1, -2, -2, 3, 2, 1, 2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 1, 2, -3, 0,\
 -1, 4, -2, -2, 0, 0, 0, 0, 2, 0, 2, 1, -1, -1, -1, 0, 1, 3, 2, 3, -1, -3 ], [ -4, -4, 4, 4, 0, -8, 4, 4, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 4, 2, -4, -4, -4\
, -5, 2, 6 ], [ -2, -2, 2, 2, 0, -4, 2, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, 1, -2, -2, -2, -2, 0, 3 ], [ -2, -2, 2, 2, 0, -4, 2, 2, 0, 0, 0, 0, -2, 0, -\
2, 0, 2, 0, 2, 1, -2, -2, -2, -2, 1, 2 ] ] ), rec( GramQ := [ [ -24, 22, 10, -5, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 22, -22, -8, 3, 4, 0, 8,\
 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ 10, -8, -22, 23, 3, -11, -6, -3, 0, 0, -2, 2, 2, 2, -6, -4, -4 ], [ -5, 3, 23, -36, -3, 16, 11, 4, 0, -4, 4, -1, 0,\
 0, 8, 6, 4 ], [ -5, 4, 3, -3, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0, 3, 2 ], [ 2, 0, -11, 16, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, 8,\
 -6, 11, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, 1, -3, 4, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, -2, 0, 0, -2, -2, 2, -2, -4,\
 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, -4, 0, 2, 2, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0 ], [ 0, 0, -2, 4, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 4, \
2, -1, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 6, 2, 0, 0, 0, -2, 0, 2, 0, 0, -2, -4, -2, 0, 0, 0 ], [ -6, 6, 2, 0, -2, -2, 0, -2, 0, 0, 0, -\
2, -2, -4, 0, 0, 0 ], [ 2, -2, -6, 8, 0, -4, -2, -2, 0, 2, -2, 0, 0, 0, -4, 0, 0 ], [ 6, -4, -4, 6, 3, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, -4 ], [ 4, -2, -\
4, 4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4 ] ], GramQperp := [ [ -8, -4, 4, -2, 4, 4, 0, -8, 2 ], [ -4, -8, 6, -4, 4, 4, 0, -8, 2 ], [ 4, 6, -8, 6, -4\
, -4, 0, 8, -2 ], [ -2, -4, 6, -8, 6, 4, 0, -8, 2 ], [ 4, 4, -4, 6, -8, -2, 0, 8, -2 ], [ 4, 4, -4, 4, -2, -8, 2, 8, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ],\
 [ -8, -8, 8, -8, 8, 8, 2, -20, 6 ], [ 2, 2, -2, 2, -2, -2, 0, 6, -4 ] ], Sigma := [ [ 0, 0, 0, -1, 0, 1, -2, 0, -1, 0, 2, 0, 1, -1, -3, -3, 1 ], [ -1, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1\
, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0,\
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0, -1, -2, -2, -1, -2, 2, -2 ] ] ), rec( GramQ := [ [ -14, 14, 5, 0, -2, -1, -4, -1, 0, -2, 1, -3, -4, -4, 3, 0, 0 ], [ 14, -16, -5, 2, 1, 3, 4, 1, 0, 2, \
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0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, -1, 2, 2, 1, -2, 0, 4, 2, -2, 1, -1, -3, -\
1, -5, -2, 3, 4, -2, -1, -4, -3, -1, -8, 1, 3 ], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, -1 ], [ 0, 1, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, 1, -4, 0, 0, 0, 0, -2, -2\
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4, 3, 2, 1, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 1, \
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 [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0\
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", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 3, 1, 3, 5, 5, 4, 3, 2, 1, 1 ], [ 2, 2, 3, 5, 5, 4, 3, 2, 1, 1 ], [ 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -5, -4, -4, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0,\
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2, -2, -2, 0 ], [ -2, -1, 2, 0, 0, 0, 2, -2, 7, -5, 0, 0, -1, -1, -3, -4, 1, 1, 1, 3, -1, -3, -4, -5, -3, 3 ], [ -2, -1, 3, -1, 0, 0, 4, -4, 9, -5, 0, 0, \
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0, 1, 0, -1, 1, 2, -2, 8, -6, 0, 0, 0, 0, -3, -4, 1, 1, 0, 3, -1, -3, -3, -5, -3, 2 ], [ -1, 0, 0, 1, -1, 0, 2, -1, 4, -3, 0, 0, 0, -1, -1, -1, 1, 0, 1, 3\
, -1, -1, -2, -4, 0, 2 ], [ 0, 0, 1, -1, 0, 0, 1, 0, 3, -2, 0, 0, -1, 0, -2, -2, 0, 1, -1, 0, 0, -2, -2, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, \
0, -1, -1, -2, -2, 0, 0, 0, 2, 0, 0, -1, -1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0\
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 ], [ 1, 0, 1, -2, 1, 0, 0, 0, -2, 2, 0, 0, -1, 0, 1, 0, -1, 1, -1, -2, 1, -1, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
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, -2, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, -1, -\
1, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ] ] ), rec( GramQ := [ [ -24, 4, -\
8, -18, -5, 2, -8, -1, 2, 0, 0, -4, -6, -6, 2, 6, 4 ], [ 4, -12, -5, -7, 2, 0, 4, 1, 0, 2, 0, 0, 0, 0, 0, -4, 0 ], [ -8, -5, -26, -14, 1, -11, -10, -3, 2,\
 2, -2, -2, -4, -4, -4, -4, -2 ], [ -18, -7, -14, -24, -2, 0, -4, 0, 2, 2, 0, -4, -6, -6, 2, 0, 2 ], [ -5, 2, 1, -2, -4, 0, 0, -2, -2, 0, 0, -1, 0, -2, 0,\
 3, 2 ], [ 2, 0, -11, 0, 0, -12, -4, -4, -2, 2, -2, -1, 0, -2, -4, -4, -4 ], [ -8, 4, -10, -4, 0, -4, -12, 0, 2, 2, -2, 0, -2, 0, -2, 2, 0 ], [ -1, 1, -3,\
 0, -2, -4, 0, -4, -2, 0, -1, -1, 0, -2, -2, 0, 0 ], [ 2, 0, 2, 2, -2, -2, 2, -2, -4, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 2, 2, 2, 0, 2, 2, 0, 0, -4, 2, 0, 0, \
0, 2, 0, 0 ], [ 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, -2, 0, 0, 0, -2, 0, 0 ], [ -4, 0, -2, -4, -1, -1, 0, -1, 0, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -6, 0, -4, -6\
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[ -8, -4, 0, 4, -8, 2, 0, 0, 0 ], [ -4, -8, 2, 2, -8, 2, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 2, 2, -4, 4, 0, 0, 0, 0 ], [ -8, -8, 0, 4, -20, 4\
, 0, 2, -2 ], [ 2, 2, 0, 0, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 2, 0, 2, -4, 2 ], [ 0, 0, 0, 0, -2, 0, 0, 2, -4 ] ], Sigma := \
[ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 2 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1\
, -1, 1, 2, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, -1, 1, 0, 0,\
 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0 ], [ 1, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
-1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, -1, 2, 6, -3, -2, 4, 8, -6, 2, 1, -1, -3, -1, -3, 4, 7, 4, -2, -3, -8, -3, -1, -12, 7, 7 \
], embQ := [ [ 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1 ], [ 0, 1, 0, 1, -2, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ 0, 0, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, -3, 0, 0, 0, 0, -1, -1 ], [ 2, -4, 3, -1\
, -2, 2, -1, 1, -1, 0, 0, 0, 2, 0, 2, 2, 0, 1, -2, 0, 0, 2, -1, 0, -1, 1 ], [ 1, 2, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, \
1, -2 ], [ -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 3, -2, 2, -3, -1, 4, -3, 1, 1, -2, 0, 0, 2, 0, 1, 0, -1,\
 2, -4, -1, 1, 2, 0, -1, -2, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 1, 0, -2, -1, 0, 1, 1 ], [ -1, 0, 0, 1, -1, 2, -3, 1, 1,\
 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 1 ] ], r := [ 5, 3, 7, 11, 10, 8, 6, 4, 4, 2 ], rlifts := [ [ 0, 1, 0, 1, -2, 0\
, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, -2, 2, 1 ] ], rootsQ := [ [ -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 2 ], [ 1, 0, 0, -1, 0\
, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 2, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 2 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 2, -2\
 ], [ -2, -1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 1 ], [ 2, 1, 0, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 2, -1 ], [ -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, \
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, [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A3" ], theg := [ [ 6, 3, 7, 11, 10, 8, 6, 4, 4, 2 ], [ 5, 4, 7, 11, 10, 8, 6, 4, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0\
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mQ := [ [ -72, -13, -53, -81, -1, 23, 20, 7, -1, -2, 4, 2, 4, 5, 8, 6, 6 ], [ -13, -22, -43, -35, 4, 0, 8, 1, -2, 0, 0, 4, 6, 6, -2, -4, -2 ], [ -53, -43,\
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, -4, -4 ] ], GramQperp := [ [ -8, -8, 4, 2, 0, 0, 4, -4, 2 ], [ -8, -20, 10, 0, 0, 0, 8, -8, 4 ], [ 4, 10, -8, 2, 0, 0, -4, 4, -2 ], [ 2, 0, 2, -4, 2, 0,\
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, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, -1, 1, 0, -1, -2, 1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ]\
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, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0 ], [\
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 -1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -9, 3, -2, 6, 1, -2, 0, 4, -2, 6, 1, -1, -7, -1, -5, \
0, 7, 4, 0, -5, -8, -7, -1, -12, 5, 1 ], embQ := [ [ 1, 0, 0, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 3 ], [ 0, 1, 0, 1, -2, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ] ], embQperp := [ [ -1, 1, 1, -1, 1, 0, -1, 1, -3, 4, 0, 0, -2, 0, 0, 0, 0,\
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8, 7, 6, 4, 3, 1 ], rlifts := [ [ -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, -1, 1, 0, -1, -1, 0, -2, 1, 0 ] ], rootsQ := [ [ 1, -1, 1, -1, 0, \
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2, -1 ], [ -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, -1, -2, 1 ], [ 1, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 2, -1 ], [ -1, 1, -1, 1, 0, 0, -1,\
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], [ 0, 0, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 1, 0, 0, 0\
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 ], [ 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, 0 ], [ 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0,\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, \
0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3" ], theg := [ [ 5, 2, 6, 9, 8, 7, 6, 4, 3, 1 ], [ 8, 5, 12, 18, 16, 1\
4, 12, 8, 6, 2 ], [ -4, -2, -5, -9, -8, -7, -6, -4, -3, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0\
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 4, 3, 2 ] ], thegtilde := [ [ -9, 7, -7, 8, 0, 0, 2, -2, 2, 8, 0, 0, -8, 0, -4, -1, 9, 1, 5, -3, -9, -11, -3, -16, 6, 0 ], [ -7, 6, -5, 5, 1, 0, 1, -1, 1\
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 -2, 2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -1, 0, 2, 0, 1, -1, -2, -2, 0, -2, 1, -2 ] ] ) ], walls := [ [ 8, 5, 9, 14, 13, 11, 8, 5, 4, 2 ], [ 7, 4, 8,\
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5, 12, 7, 6, 3 ], [ 10, 5, 11, 18, 17, 14, 11, 7, 5, 2 ], [ 12, 6, 14, 22, 20, 18, 14, 9, 7, 3 ], [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 7, 7, 6, 5,\
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, [ 6, 4, 8, 11, 10, 9, 8, 5, 4, 2 ], [ 2, 1, 2, 3, 3, 2, 1, 1, 0, 0 ], [ 8, 5, 10, 15, 13, 12, 9, 5, 4, 2 ], [ 8, 5, 10, 15, 14, 11, 8, 5, 4, 1 ], [ 5, 3\
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 ], [ 9, 5, 11, 17, 16, 14, 10, 6, 4, 2 ], [ 12, 7, 15, 23, 21, 18, 13, 8, 7, 3 ], [ 12, 7, 15, 23, 21, 18, 14, 8, 6, 2 ], [ 6, 3, 7, 11, 11, 10, 8, 6, 4,\
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2 ], [ 8, 4, 10, 15, 14, 12, 9, 6, 4, 1 ], [ 8, 4, 10, 15, 14, 12, 10, 6, 4, 2 ], [ 8, 4, 10, 15, 14, 12, 10, 7, 6, 3 ], [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ],\
 [ 10, 5, 12, 19, 17, 14, 11, 7, 6, 2 ], [ 2, 2, 3, 4, 4, 4, 3, 2, 1, 1 ], [ 8, 6, 11, 16, 15, 13, 10, 6, 5, 2 ], [ 4, 3, 5, 8, 7, 6, 4, 2, 1, 0 ], [ 4, 3\
, 5, 8, 7, 6, 4, 3, 3, 1 ], [ 4, 3, 5, 8, 7, 6, 5, 3, 3, 2 ], [ 4, 3, 5, 8, 7, 7, 6, 4, 3, 1 ], [ 3, 2, 3, 6, 6, 5, 4, 3, 2, 1 ], [ 4, 3, 6, 8, 7, 6, 5, 3\
, 2, 0 ], [ 3, 2, 4, 6, 5, 4, 2, 1, 1, 1 ], [ 6, 4, 8, 12, 10, 8, 6, 3, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 3, 2\
, 4, 6, 5, 4, 4, 3, 3, 1 ], [ 6, 4, 8, 12, 12, 10, 7, 5, 4, 2 ], [ 6, 4, 8, 12, 12, 10, 8, 5, 3, 1 ], [ 8, 5, 10, 16, 15, 12, 9, 5, 4, 2 ], [ 3, 2, 5, 6, \
6, 5, 4, 3, 2, 1 ], [ 2, 1, 3, 4, 3, 2, 1, 1, 1, 0 ], [ 2, 1, 3, 4, 3, 2, 2, 1, 1, 1 ], [ 2, 1, 3, 4, 3, 3, 2, 1, 0, 0 ], [ 8, 5, 11, 16, 15, 12, 10, 6, 5\
, 2 ], [ 8, 5, 11, 16, 15, 13, 10, 6, 5, 3 ], [ 8, 5, 11, 16, 15, 13, 10, 7, 6, 2 ], [ 8, 5, 11, 16, 15, 14, 11, 7, 5, 2 ], [ 4, 2, 5, 8, 7, 5, 4, 2, 1, 0\
 ], [ 7, 4, 9, 14, 12, 11, 8, 5, 4, 1 ], [ 4, 2, 5, 8, 7, 7, 6, 4, 3, 2 ], [ 4, 2, 5, 8, 8, 6, 5, 4, 3, 1 ], [ 10, 6, 13, 20, 18, 16, 13, 8, 7, 3 ], [ 6, \
3, 7, 12, 11, 9, 6, 4, 3, 1 ], [ 6, 3, 7, 12, 11, 9, 8, 5, 4, 2 ], [ 6, 3, 7, 12, 11, 10, 8, 5, 3, 1 ], [ 6, 3, 7, 12, 11, 10, 8, 6, 5, 2 ], [ 6, 3, 8, 12\
, 11, 10, 7, 5, 4, 2 ], [ 8, 4, 10, 16, 14, 12, 9, 5, 4, 2 ], [ 11, 6, 14, 22, 21, 18, 14, 9, 7, 3 ], [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 2, 2, 4, 5, 4, 4\
, 3, 2, 2, 1 ], [ 1, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], [ 4, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], [ 4, 3, 6, 9, 9, 8, 7, 5, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
6, 4, 8, 13, 12, 10, 8, 5, 4, 1 ], [ 6, 4, 8, 13, 12, 11, 8, 5, 4, 2 ], [ 6, 4, 9, 13, 12, 10, 7, 4, 3, 1 ], [ 2, 1, 3, 5, 5, 4, 3, 2, 1, 1 ], [ 5, 3, 7, \
11, 10, 8, 6, 4, 4, 2 ], [ 4, 2, 6, 9, 8, 7, 6, 4, 3, 1 ] ], weyl := [ -3, 1, 2, 2, -1, -2, 0, 4, -2, 2, -1, 1, -5, 1, -3, 0, 5, 0, 2, -3, -4, -5, -3, -8,\
 3, 3 ], weylprime := [ -3, 1, 2, 2, -1, -2, 0, 4, -2, 2, -1, 1, -5, 1, -3, 0, 4, 0, 2, -3, -4, -5, -3, -8, 3, 3 ] ), rec( GramL26 := [ [ 4, 4, 6, 10, 8, \
8, 6, 4, 2, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2 ], [ 4, 0, 4, 5, 5, 4, 2, 1, 2, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -2, -1, -2, 1\
 ], [ 6, 4, 6, 12, 9, 9, 7, 4, 3, 2, -2, -2, -3, -2, -3, 2, -2, 2, -2, -1, -1, -2, -2, 1, 1, -2 ], [ 10, 5, 12, 14, 12, 15, 8, 3, 2, 0, 0, -3, -1, -4, -3,\
 -2, -1, -1, -1, -1, 1, 0, -3, -1, -1, -1 ], [ 8, 5, 9, 12, 8, 12, 7, 2, 1, 1, -2, -5, -4, -5, -5, 0, -2, 1, -3, -1, -1, -1, -3, 0, 1, -2 ], [ 8, 4, 9, 15\
, 12, 6, 7, 7, 4, -1, -1, 0, -3, 4, -1, 1, -2, 1, -1, -3, -3, -3, 0, -1, -2, 1 ], [ 6, 2, 7, 8, 7, 7, 2, 1, 1, -2, 1, -1, 1, 1, -1, -1, -1, -2, 0, -2, 0, \
0, -2, -2, -2, 0 ], [ 4, 1, 4, 3, 2, 7, 1, -4, 0, 1, 0, -6, -2, -7, -3, 1, -2, 1, -3, 0, 1, 1, -4, 0, 0, -1 ], [ 2, 2, 3, 2, 1, 4, 1, 0, -4, -3, -1, 1, 1,\
 0, -2, -4, 1, -3, 2, -1, 0, 0, 0, -1, 0, -2 ], [ 2, -1, 2, 0, 1, -1, -2, 1, -3, -8, 1, 4, 3, 7, 0, -5, 1, -5, 4, -3, -1, -1, 0, -3, -4, 1 ], [ -1, 1, -2,\
 0, -2, -1, 1, 0, -1, 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 0, -1, -2, -3, -5, 0, -1, -6, 1, 4, -2, -12, -8, -10, -5, 6, -4, 6,\
 -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, 0, -3, -1, -4, -3, 1, -2, 1, 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -1, 0, -2, -4, -5, 4, 1\
, -7, 0, 7, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -1, 0, -3, -3, -5, -1, -1, -3, -2, 0, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, \
-2, -2, 2, 2, -2 ], [ 0, 0, 2, -2, 0, 1, -1, 1, -4, -5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -2, -1, -2, -2, -1, -2, 1, 1, -1, -\
4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 0, 0, 2, -1, 1, 1, -2, 1, -3, -5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, 0, \
-2, -1, -3, -1, 0, -3, 2, 4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, -1, -1, -1, -1, -3, -2, 0, -1, -3, 0, 1, -1, 4, 0, 0, -2, 0,\
 0, -4, -2, -2, 0, -2, -2, 0 ], [ 0, 0, -1, 1, -1, -3, 0, 1, 0, -1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, 0, -2, 0, -1, -3, 0, 1\
, 0, -1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, -2, -2, -3, -3, 0, -2, -4, 0, 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, \
0, 0 ], [ 1, -1, 1, -1, 0, -1, -2, 0, -1, -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 1, -2, 1, -1, 1, -2, -2, 0, 0, -4, 2, 2, 2, 4, 2, -\
2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, 1, -2, -1, -2, 1, 0, -1, -2, 1, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramR := [ [ -4, -2, \
-4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -8, -12, -6, -5, 6, -5, 8, -8, -1\
, -4, -4, -2, 2, 2, 0 ], [ -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2\
, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2\
, 2, -2, -2, 0 ], [ -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -4, 2\
, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, \
0, 0, 0 ], [ 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, 0, 0, -2, -2, 0, 0, 0, \
0, 0, 0, 0, 0, 2, 2, -4 ] ], NK := "not corresponding to Nikulin-Kondo", NKisom := "not corresponding to Nikulin-Kondo", No := 16, VR := [ [ 0, 0, 0, 0, 0\
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 -1/2, -1, -1/2, -1/2, 1, -1/2, -1/2, -1/2, 0, 0, -1/2 ], [ 0, 0, 0, 0, -1, 1/2, 1, 1/2, 1/2, -1, 1/2, 1/2, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 1, 0, 0, 1/2, -1/2, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1/2, 1/2, 1/2, 1/2 ], [ 0, 0, 0, 0, -1, 1/2, 1, 1/2, 1/2, -1, 1/2, 1/2, 0, 0, \
0, 1/2 ], [ 0, 0, 0, 0, 1, -1/2, -1, -1/2, -1/2, 1, -1/2, -1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 1, -1/2, 0, -1/2, -1/2, 0, -1/2, -1/2, -1, 1/2, 1/2, 0 ], [\
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, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeR := [ "A1", "A1", "A1", "A1" ], volindex := 72, wallrecs := [ rec( GramQ := [ [ -146, 1, 9, -4,\
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amQperp := [ [ -20, -24, 16, 18, 0, -24, 8, 8, 12 ], [ -24, -40, 26, 24, 0, -36, 12, 12, 18 ], [ 16, 26, -20, -14, 0, 24, -8, -8, -12 ], [ 18, 24, -14, -2\
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, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 6, -12, 0, 0, 0, -3, 0, 3, 0, 3, 0, 0, 3, 2, 7, -3, 8, -4 ], [ 0, 2\
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, 2, 0, 1, -2, 0, 4, 4, 4, -5, 7, -5 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4\
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 := [ 14, 10, 17, 26, 23, 20, 14, 9, 5, 2 ], rlifts := [ [ -2, -3, 2, 2, 0, -3, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, 0, -2, -2, -3, 0, -3 ], [ -2\
, -3, 2, 2, 0, -3, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, -1, 1, -1, -2, -2, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, -1, 0, 2, 2, 3, 0,\
 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, 0, -2, -2, -3, 0, -3 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 1, -1, 1, 2, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0\
, -3, -2, -1, 1, -1, -2, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ]\
, [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1\
, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -27, -20, -34, -52, -46, -40, -28, -18\
, -10, -4 ], [ -42, -29, -51, -78, -69, -60, -42, -27, -15, -6 ], [ 28, 20, 35, 52, 46, 40, 28, 18, 10, 4 ], [ 28, 20, 34, 53, 46, 40, 28, 18, 10, 4 ], [ \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -42, -30, -51, -78, -69, -59, -42, -27, -15, -6 ], [ 14, 10, 17, 26, 23, 20, 15, 9, 5, 2 ], [ 14, 10, 17, 26, 23, 20, 14\
, 10, 5, 2 ], [ 14, 10, 17, 26, 23, 20, 14, 9, 6, 2 ], [ 14, 10, 17, 26, 23, 20, 14, 9, 5, 3 ] ], thegtilde := [ [ -27, -42, 28, 28, 0, -42, 14, 14, 14, 1\
4, 0, 0, 0, -28, 0, -28, 0, -42, -28, 0, 7, -21, -28, -35, 7, -35 ], [ -20, -29, 20, 20, 0, -30, 10, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -30, -20, 0, 5, \
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, -10, -13, 2, -13 ], [ -4, -6, 4, 4, 0, -6, 2, 2, 2, 3, 0, 0, 0, -4, 0, -4, 0, -6, -4, 2, 0, -4, -4, -6, 0, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -48, -3, 1, -5, 2, 4, 11, -2, 10, -3, 2, -4, -2, 4, 6, 4, 0 \
], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 1, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, \
-6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 2, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, \
0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], \
[ 10, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, \
0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0,\
 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 4, 2, 2, 2, 4, 2, -2,\
 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -16, 0, 18, 0, -8, 8, 0, 4 ], [ -1\
6, -20, 2, 16, 0, -8, 8, 0, 4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 18, 16, 2, -20, 2, 8, -8, 0, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, -8, 0, 8, 2, -\
8, 6, 0, 2 ], [ 8, 8, 0, -8, 0, 6, -8, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 4, 4, 0, -4, 0, 2, -2, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 1\
, -2, -2, 0, 0, -1, -1, -2, -1, -1 ], [ -1, 0, 0, 0, -1, 0, -2, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0,\
 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1,\
 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -6, 1, 5, 1, -5, 3, 1, 1, 3, -1, 1, -1, -3, -2, -4, 1, -6, -5, -1, 2, 0, -4, -6, -1, -3 ], embQ := [ [ 2, 2,\
 0, -2, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2,\
 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, \
0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0,\
 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, \
-2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, \
1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 8, 6, 10, 14, 12, 10, 7, 5, 3, 1 ], rlifts := [ [ -2, -2, 0, 2, 0, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 1, -\
2, -2, 0, 0, -1, -1, -2, -1, -1 ], [ -2, -2, 0, 2, 0, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, -2, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0\
, 1, 0, 1, -1, 2, 2, 0, 0, 1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 1, -2, -2, 0, 0, -1, -1, -2, -1, -1 ], [ 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1\
, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -2, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0\
, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0\
 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0\
, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -1\
5, -12, -20, -28, -24, -20, -14, -10, -6, -2 ], [ -16, -11, -20, -28, -24, -20, -14, -10, -6, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 16, 12, 20, 29, 24\
, 20, 14, 10, 6, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -6, -10, -14, -12, -9, -7, -5, -3, -1 ], [ 8, 6, 10, 14, 12, 10, 8, 5, 3, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 8, 6, 10, 14, 12, 10, 7, 5, 3, 2 ] ], thegtilde := [ [ -15, -16, 0, 16, 0, -8, 8, 0, 0, 8, 0, 0, \
0, -8, 0, -12, 0, -16, -12, 0, 0, -8, -8, -12, -4, -4 ], [ -12, -11, 0, 12, 0, -6, 6, 0, 0, 6, 0, 0, 0, -6, 0, -9, 0, -12, -9, 0, 0, -6, -6, -9, -3, -3 ],\
 [ -20, -20, 1, 20, 0, -10, 10, 0, 0, 10, 0, 0, 0, -10, 0, -15, 0, -20, -15, 0, 0, -10, -10, -15, -5, -5 ], [ -28, -28, 0, 29, 0, -14, 14, 0, 0, 14, 0, 0,\
 0, -15, 1, -21, 0, -29, -21, 0, -1, -15, -14, -21, -7, -7 ], [ -24, -24, 0, 24, 1, -12, 12, 0, 0, 12, 0, 0, 0, -13, 1, -18, 0, -25, -18, 0, -1, -13, -12,\
 -18, -6, -6 ], [ -20, -20, 0, 20, 0, -9, 10, 0, 0, 10, 0, 0, 0, -10, 0, -15, 0, -20, -15, 0, 0, -10, -10, -15, -5, -5 ], [ -14, -14, 0, 14, 0, -7, 8, 0, \
0, 7, 0, 0, 0, -7, 0, -10, 1, -14, -11, 0, 0, -7, -7, -11, -4, -4 ], [ -10, -10, 0, 10, 0, -5, 5, 1, 0, 5, 0, 0, 0, -6, 1, -7, 1, -11, -8, 0, -1, -6, -5, \
-8, -3, -3 ], [ -6, -6, 0, 6, 0, -3, 3, 0, 1, 3, 0, 0, 0, -4, 1, -5, -1, -7, -4, 0, -1, -4, -3, -4, -1, -1 ], [ -2, -2, 0, 2, 0, -1, 1, 0, 0, 2, 0, 0, 0, \
-1, 0, -2, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 2, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2\
, 0, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec(\
 GramQ := [ [ -266, -1, 16, -5, 31, 16, 17, -3, 13, 1, -4, -12, -10, 14, 4, -4, 10 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ \
16, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 31, -2, -10, -6, -1\
6, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 16, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 17, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, \
2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 13, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2,\
 -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -12, -2, -2, -4, 2, -2, 2, -2, 2\
, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -10, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 14, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0,\
 0 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, \
0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -16, 0, 18, 16, -32, 8, 8, 12 ], [ -16, -20, 2, 16, 16, -32, 8, 8, 12 ], [ 0, 2, -4, 2, 0, 0, 0, \
0, 0 ], [ 18, 16, 2, -20, -14, 32, -8, -8, -12 ], [ 16, 16, 0, -14, -20, 34, -8, -8, -12 ], [ -32, -32, 0, 32, 34, -68, 18, 16, 24 ], [ 8, 8, 0, -8, -8, 1\
8, -8, -2, -6 ], [ 8, 8, 0, -8, -8, 16, -2, -8, -4 ], [ 12, 12, 0, -12, -12, 24, -6, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -3, 0, -3, -1, -4, -3, 1, 0, -\
1, -2, -4, 0, -3 ], [ -1, 0, 0, 0, -3, 0, -3, 1, -4, -3, -1, 0, -1, -3, -3, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, \
0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0\
, 0, 0 ] ], adjweyl := [ -5, -6, 1, 5, 5, -11, 3, 3, 3, 3, -1, 1, -1, -7, -2, -7, 1, -10, -8, -1, 2, 0, -7, -10, 1, -7 ], embQ := [ [ 2, 2, 0, -2, -2, 4, \
-1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQpe\
rp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, 0, 2, 0, 2,\
 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -4, 8, 0,\
 0, 0, 3, 0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0, 0, 0,\
 0, 2, -4, 2, 0, 8, -16, 0, 0, 0, -5, 0, 3, 0, 2, -2, 0, 5, 5, 6, -6, 9, -6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1\
, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, \
0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 14, 10, 18, 26, 22, 20, 14, 9, 5, 2 ], rlifts := [ [ -2, -2, 0, 2, 2, -4, 1, 1, 1, 1, 0, 0, 0, -3, 0, -3, -1,\
 -4, -3, 1, 0, -1, -2, -4, 0, -3 ], [ -2, -2, 0, 2, 2, -4, 1, 1, 1, 1, 0, 0, 0, -3, 0, -3, 1, -4, -3, -1, 0, -1, -3, -3, 1, -2 ] ], rootsQ := [ [ 1, 0, 0,\
 0, 3, 0, 3, 1, 4, 3, -1, 0, 1, 2, 4, 0, 3 ], [ -1, 0, 0, 0, -3, 0, -3, -1, -4, -3, 1, 0, -1, -2, -4, 0, -3 ], [ 1, 0, 0, 0, 3, 0, 3, -1, 4, 3, 1, 0, 1, 3\
, 3, -1, 2 ], [ -1, 0, 0, 0, -3, 0, -3, 1, -4, -3, -1, 0, -1, -3, -3, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1,\
 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, \
-1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0,\
 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [\
 [ -27, -20, -36, -52, -44, -40, -28, -18, -10, -4 ], [ -28, -19, -36, -52, -44, -40, -28, -18, -10, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 28, 20, 36,\
 53, 44, 40, 28, 18, 10, 4 ], [ 28, 20, 36, 52, 45, 40, 28, 18, 10, 4 ], [ -56, -40, -72, -104, -88, -79, -56, -36, -20, -8 ], [ 14, 10, 18, 26, 22, 20, 1\
5, 9, 5, 2 ], [ 14, 10, 18, 26, 22, 20, 14, 10, 5, 2 ], [ 14, 10, 18, 26, 22, 20, 14, 9, 6, 2 ], [ 14, 10, 18, 26, 22, 20, 14, 9, 5, 3 ] ], thegtilde := [\
 [ -27, -28, 0, 28, 28, -56, 14, 14, 14, 14, 0, 0, 0, -42, 0, -42, 0, -56, -42, 0, 0, -14, -35, -49, 7, -35 ], [ -20, -19, 0, 20, 20, -40, 10, 10, 10, 10,\
 0, 0, 0, -30, 0, -30, 0, -40, -30, 0, 0, -10, -25, -35, 5, -25 ], [ -36, -36, 1, 36, 36, -72, 18, 18, 18, 18, 0, 0, 0, -54, 0, -54, 0, -72, -54, 0, 0, -1\
8, -45, -63, 9, -45 ], [ -52, -52, 0, 53, 52, -104, 26, 26, 26, 26, 0, 0, 0, -79, 1, -78, 0, -105, -78, 0, -1, -27, -65, -91, 13, -65 ], [ -44, -44, 0, 44\
, 45, -88, 22, 22, 22, 22, 0, 0, 0, -67, 1, -66, 0, -89, -66, 0, -1, -23, -55, -77, 11, -55 ], [ -40, -40, 0, 40, 40, -79, 20, 20, 20, 20, 0, 0, 0, -60, 0\
, -60, 0, -80, -60, 0, 0, -20, -50, -70, 10, -50 ], [ -28, -28, 0, 28, 28, -56, 15, 14, 14, 14, 0, 0, 0, -42, 0, -42, 0, -56, -42, 0, 0, -14, -35, -49, 7,\
 -35 ], [ -18, -18, 0, 18, 18, -36, 9, 10, 9, 9, 0, 0, 0, -28, 1, -27, -1, -37, -27, 1, -1, -10, -22, -32, 4, -23 ], [ -10, -10, 0, 10, 10, -20, 5, 5, 6, \
5, 0, 0, 0, -16, 1, -15, 1, -21, -15, -1, -1, -6, -13, -17, 3, -12 ], [ -4, -4, 0, 4, 4, -8, 2, 2, 2, 3, 0, 0, 0, -6, 0, -6, 2, -8, -6, -2, 0, -2, -6, -6,\
 2, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -3, -1, \
1, 2, 0, -2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 2, 0, -2, -2, 0, 2, -2, -2, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, -1, -1, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, 0, 0, 1, -1\
, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -68, 4, \
8, 4, 14, 12, 8, 0, 4, 2, 0, -2, 0, 6, 1, -3, 6 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -\
8, 1, -2, 0, -4, 2, 2, 0 ], [ 4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 14, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4\
, -2 ], [ 12, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 8, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2,\
 -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 4, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2,\
 -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0,\
 -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0,\
 0, 0, -4, -2, 2 ], [ -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp :=\
 [ [ -20, -16, 8, 10, 8, -8, -8, 8, 12 ], [ -16, -20, 10, 8, 8, -8, -8, 8, 12 ], [ 8, 10, -8, -2, -4, 4, 4, -4, -6 ], [ 10, 8, -2, -8, -2, 4, 4, -4, -6 ],\
 [ 8, 8, -4, -2, -8, 6, 4, -4, -6 ], [ -8, -8, 4, 4, 6, -8, -2, 4, 6 ], [ -8, -8, 4, 4, 4, -2, -8, 6, 6 ], [ 8, 8, -4, -4, -4, 4, 6, -8, -4 ], [ 12, 12, -\
6, -6, -6, 6, 6, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -2, -1, -2, 1, -1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -2, \
-1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, \
-1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -6, 3, 3, 3, -5, -1, 3, 3, 3, -1, 1, -1\
, -5, -2, -5, 1, -6, -4, -1, 0, -2, -4, -6, 1, -4 ], embQ := [ [ 2, 2, -1, -1, -1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0,\
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1 ], rlifts := [ [ -2, -2, 1, 1, 1, -1, -1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -2, -1, -1, 0, -1 ], [ -2, -2, 1, 1, 1, -1, -1, 1, 1, 1, 0, 0, \
0, -2, 0, -2, 0, -2, -1, 0, -1, -2, -1, -2, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, -1, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2\
, -1, 0, -1, -2, -1, -2, 1, -1 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -2, -1, -1, 0, -1 ], \
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, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -19, -14, -24, -36, -30, -26, -20, -12, -6, -2 ], [ -20, -13, -24, -36, -30,\
 -26, -20, -12, -6, -2 ], [ 10, 7, 13, 18, 15, 13, 10, 6, 3, 1 ], [ 10, 7, 12, 19, 15, 13, 10, 6, 3, 1 ], [ 10, 7, 12, 18, 16, 13, 10, 6, 3, 1 ], [ -10, -\
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, 10, 6, 4, 1 ], [ 10, 7, 12, 18, 15, 13, 10, 6, 3, 2 ] ], thegtilde := [ [ -19, -20, 10, 10, 10, -10, -10, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -20, -10,\
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 0, 0, 1 ] ] ), rec( GramQ := [ [ -144, 5, 18, 5, 30, 17, 3, 2, 1, 8, -4, -6, -4, 12, -2, -10, 12 ], [ 5, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, \
2, 2, -2 ], [ 18, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 30, -2\
, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 17, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -\
6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ]\
, [ 8, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2,\
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4, 0, 0, 0 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -10, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 12, -2, 0, 0, -\
2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -16, 16, 2, 16, -24, 8, 12, 4 ], [ -16, -20, 18, 0, 16, -24, 8, 12, 4 ], [ 16, 18, -20,\
 2, -16, 24, -8, -12, -4 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 16, 16, -16, 2, -20, 26, -8, -12, -4 ], [ -24, -24, 24, 0, 26, -40, 14, 18, 6 ], [ 8, 8, -8,\
 0, -8, 14, -8, -4, -2 ], [ 12, 12, -12, 0, -12, 18, -4, -12, -2 ], [ 4, 4, -4, 0, -4, 6, -2, -2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 1, -2, -2, \
0, 0, -1, -2, -3, 1, -3 ], [ -1, 0, 0, 0, -2, 0, -2, -1, -3, -2, 0, 0, -1, -2, -2, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0,\
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1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -6, 5, 1, 5, -9, 3, 3, 3, 1, -1, 1, -1, -5, -2, -4, 1, -7, -6, -1, 2, 0, -6, -8, 3, -7 ], embQ := [ [ 2, 2, -2, 0, -2,\
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Qperp := [ [ -4, 0, 0, 2, 0, 0, 0, 4, -8, 4, 0, 0, 0, 1, 0, 1, 0, -1, -3, 0, 2, 1, -5, 1, -5, 3 ], [ 0, -4, 2, 0, 0, 0, 0, 4, -8, 4, 0, 0, 0, 2, 0, 2, 0, \
0, -2, 0, 2, 1, -3, 2, -2, 1 ], [ 0, 2, -4, 2, 0, 0, 0, -4, 8, -4, 0, 0, 0, -3, 0, -3, 0, -1, 1, 0, -2, -1, 4, -3, 2, -1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, \
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, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 12, 8, 14, 22, 18, 16, 11, 7, 4, 2 ], rlifts := [ [ -2, -2, 2, 0, 2, -3, 1, 1, 1, 0, 0, 0, 0, -2, 0, -2, -1, \
-3, -2, 0, 0, -1, -2, -2, 2, -2 ], [ -2, -2, 2, 0, 2, -3, 1, 1, 1, 0, 0, 0, 0, -2, 0, -1, 1, -2, -2, 0, 0, -1, -2, -3, 1, -3 ] ], rootsQ := [ [ 1, 0, 0, 0\
, 2, 0, 1, -1, 2, 2, 0, 0, 1, 2, 3, -1, 3 ], [ -1, 0, 0, 0, -2, 0, -1, 1, -2, -2, 0, 0, -1, -2, -3, 1, -3 ], [ 1, 0, 0, 0, 2, 0, 2, 1, 3, 2, 0, 0, 1, 2, 2\
, -2, 2 ], [ -1, 0, 0, 0, -2, 0, -2, -1, -3, -2, 0, 0, -1, -2, -2, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1,\
 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1,\
 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1,\
 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ \
-23, -16, -28, -44, -36, -32, -22, -14, -8, -4 ], [ -24, -15, -28, -44, -36, -32, -22, -14, -8, -4 ], [ 24, 16, 29, 44, 36, 32, 22, 14, 8, 4 ], [ 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0 ], [ 24, 16, 28, 44, 37, 32, 22, 14, 8, 4 ], [ -36, -24, -42, -66, -54, -47, -33, -21, -12, -6 ], [ 12, 8, 14, 22, 18, 16, 12, 7, 4, \
2 ], [ 12, 8, 14, 22, 18, 16, 11, 8, 4, 2 ], [ 12, 8, 14, 22, 18, 16, 11, 7, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -23, -24, 24, 0,\
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0, -20, -16, 0, 0, -8, -16, -20, 12, -20 ], [ -28, -28, 29, 0, 28, -42, 14, 14, 14, 0, 0, 0, 0, -28, 0, -21, 0, -35, -28, 0, 0, -14, -28, -35, 21, -35 ], \
[ -44, -44, 44, 1, 44, -66, 22, 22, 22, 0, 0, 0, 0, -45, 1, -34, -2, -57, -44, 0, -1, -23, -44, -54, 34, -54 ], [ -36, -36, 36, 0, 37, -54, 18, 18, 18, 0,\
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, 14, -21, 7, 8, 7, 0, 0, 0, 0, -15, 1, -11, -1, -19, -14, 0, -1, -8, -14, -17, 11, -17 ], [ -8, -8, 8, 0, 8, -12, 4, 4, 5, 0, 0, 0, 0, -9, 1, -7, -2, -12\
, -8, 0, -1, -5, -8, -9, 7, -9 ], [ -4, -4, 4, 0, 4, -6, 2, 2, 2, 1, 0, 0, 0, -4, 0, -4, -2, -6, -4, 0, 0, -2, -4, -4, 4, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, \
0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -120, -2, 9, -4, 14, 10, 13, -1, 11, -1, 1, -6, -5, 10, 6\
, 2, 4 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 9, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -8\
, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 14, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2\
, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 13, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0,\
 0, 0 ], [ 11, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0\
, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -5, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, \
-4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2,\
 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -8, 0, 10, 8, -16, 8, 8,\
 12 ], [ -8, -8, 2, 4, 4, -8, 4, 4, 6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 4, 2, -8, -2, 8, -4, -4, -6 ], [ 8, 4, 0, -2, -8, 10, -4, -4, -6 ], [ -16, \
-8, 0, 8, 10, -20, 10, 8, 12 ], [ 8, 4, 0, -4, -4, 10, -8, -2, -6 ], [ 8, 4, 0, -4, -4, 8, -2, -8, -4 ], [ 12, 6, 0, -6, -6, 12, -6, -4, -12 ] ], Sigma :=\
 [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, -1, -1, -2, -3, -1, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, -1, 0, -1, -2, -2, 0, -1 ], [ 0, -2, 0, 0, 1, -1\
, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -4, 1, 3, 3, -7, 3, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 1, 0, -6,\
 -8, -1, -5 ], embQ := [ [ 2, 1, 0, -1, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2,\
 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1\
, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0\
, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0\
, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 12, 8, 15, 22, 18, 15, 10, 6, 3, 1 ], rlifts := [ [ -2, -1, 0, 1, 1, \
-2, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, -1, 0, -1, -2, -2, 0, -1 ], [ -2, -1, 0, 1, 1, -2, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, -1, -1, -2\
, -3, -1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, -1, 1, 1, 2, 3, 1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, -1, -1, -2, -3, -1, -2 ], [ \
1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 1, 0, 1, 2, 2, 0, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, -1, 0, -1, -2, -2, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1\
, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0,\
 -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A\
1", "A1", "A1", "A1", "A1" ], theg := [ [ -23, -16, -30, -44, -36, -30, -20, -12, -6, -2 ], [ -12, -7, -15, -22, -18, -15, -10, -6, -3, -1 ], [ 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 15, 23, 18, 15, 10, 6, 3, 1 ], [ 12, 8, 15, 22, 19, 15, 10, 6, 3, 1 ], [ -24, -16, -30, -44, -36, -29, -20, -12, -6, -2 ], \
[ 12, 8, 15, 22, 18, 15, 11, 6, 3, 1 ], [ 12, 8, 15, 22, 18, 15, 10, 7, 3, 1 ], [ 12, 8, 15, 22, 18, 15, 10, 6, 4, 1 ], [ 12, 8, 15, 22, 18, 15, 10, 6, 3,\
 2 ] ], thegtilde := [ [ -23, -12, 0, 12, 12, -24, 12, 12, 12, 12, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, -6, -12, -24, -30, -6, -18 ], [ -16, -7, 0, 8, 8,\
 -16, 8, 8, 8, 8, 0, 0, 0, -16, 0, -16, 0, -24, -16, 0, -4, -8, -16, -20, -4, -12 ], [ -30, -15, 1, 15, 15, -30, 15, 15, 15, 15, 0, 0, 0, -30, 0, -30, 0, \
-45, -30, -1, -7, -15, -30, -37, -7, -22 ], [ -44, -22, 0, 23, 22, -44, 22, 22, 22, 22, 0, 0, 0, -45, 1, -44, 0, -67, -44, 0, -12, -23, -44, -55, -11, -33\
 ], [ -36, -18, 0, 18, 19, -36, 18, 18, 18, 18, 0, 0, 0, -37, 1, -36, 0, -55, -36, 0, -10, -19, -36, -45, -9, -27 ], [ -30, -15, 0, 15, 15, -29, 15, 15, 1\
5, 15, 0, 0, 0, -30, 0, -30, 0, -45, -30, -1, -7, -15, -30, -37, -7, -22 ], [ -20, -10, 0, 10, 10, -20, 11, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -30, -20,\
 0, -5, -10, -20, -25, -5, -15 ], [ -12, -6, 0, 6, 6, -12, 6, 7, 6, 6, 0, 0, 0, -13, 1, -12, 0, -19, -12, 0, -4, -7, -12, -15, -3, -9 ], [ -6, -3, 0, 3, 3\
, -6, 3, 3, 4, 3, 0, 0, 0, -7, 1, -6, 0, -10, -6, 1, -3, -4, -6, -8, -2, -5 ], [ -2, -1, 0, 1, 1, -2, 1, 1, 1, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 1, -1, -1\
, -2, -3, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1\
, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 2, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 1, 1, 1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0,\
 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -106, \
-2, 15, -1, 27, 8, 5, 0, 3, 5, -5, -10, -8, 10, 1, -4, 5 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 15, -2, -12, -8, -10, -5, \
6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 27, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2,\
 2, -4, 4, 4, -2 ], [ 8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, \
-4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8,\
 0, -2, -2, -2, 2, 2, 0 ], [ -5, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -10, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ]\
, [ -8, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 1, 2, 2, 2, 4, 2, -2, 0\
, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 5, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] \
], GramQperp := [ [ -20, -8, 0, 18, 0, -16, 8, 8, 4 ], [ -8, -8, 2, 8, 0, -8, 4, 4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 18, 8, 2, -20, 2, 16, -8, -8, -\
4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -16, -8, 0, 16, 2, -20, 10, 8, 4 ], [ 8, 4, 0, -8, 0, 10, -8, -2, -2 ], [ 8, 4, 0, -8, 0, 8, -2, -8, 0 ], [ 4, 2, 0\
, -4, 0, 4, -2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -1, -3, 0, -2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -1, -2,\
 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, \
1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -4, 1, 5, 1, -7, 3, 3, 3, -1, -1, 1, -1, -5, -\
2, -3, 1, -6, -6, -1, 4, 2, -4, -8, 0, -5 ], embQ := [ [ 2, 1, 0, -2, 0, 2, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -3, -1, 0, -2, \
-3, -5, 1, -5, 3 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 4, -8, 0, 0, 0, -1, 0, 3, 0, 3, 1, 0, 1, 2, 4, -1, 6, -3 ], [ 0, 0, 0, 2, -4, 2, 0,\
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0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3\
, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 9, 6, 11, 16, 14, 12, 8, 5, 3, 2 ], rlifts :=\
 [ [ -2, -1, 0, 2, 0, -2, 1, 1, 1, -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -1, -3, 0, -2 ], [ -2, -1, 0, 2, 0, -2, 1, 1, 1, -1, 0, 0, 0, -2, 0, -1, 0,\
 -2, -2, 0, 1, 0, -1, -2, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, -1, 0, 1, 3, 0, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -1,\
 -3, 0, -2 ], [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, -1, 0, 1, 2, 0, 1 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -1, -2, 0, -1 ], [ 0, -2, 0, 0, 1, -1,\
 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ]\
, [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -\
1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstype\
Q := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -17, -12, -22, -32, -28, -24, -16, -10, -6, -4 ], [ -9, -5, -11, -16, -14, -12, -8, -5, -3, -2 ],\
 [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 12, 22, 33, 28, 24, 16, 10, 6, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -18, -12, -22, -32, -28, -23, -16, -10, -\
6, -4 ], [ 9, 6, 11, 16, 14, 12, 9, 5, 3, 2 ], [ 9, 6, 11, 16, 14, 12, 8, 6, 3, 2 ], [ 9, 6, 11, 16, 14, 12, 8, 5, 4, 2 ], [ -9, -6, -11, -16, -14, -12, -\
8, -5, -3, -1 ] ], thegtilde := [ [ -17, -9, 0, 18, 0, -18, 9, 9, 9, -9, 0, 0, 0, -18, 0, -9, 0, -18, -18, 0, 9, 0, -9, -23, 0, -14 ], [ -12, -5, 0, 12, 0\
, -12, 6, 6, 6, -6, 0, 0, 0, -12, 0, -6, 0, -12, -12, 0, 6, 0, -6, -15, 0, -9 ], [ -22, -11, 1, 22, 0, -22, 11, 11, 11, -11, 0, 0, 0, -22, 0, -11, 0, -22,\
 -22, 0, 11, 0, -11, -28, 0, -17 ], [ -32, -16, 0, 33, 0, -32, 16, 16, 16, -16, 0, 0, 0, -33, 1, -16, 0, -33, -32, 0, 15, -1, -16, -41, 0, -25 ], [ -28, -\
14, 0, 28, 1, -28, 14, 14, 14, -14, 0, 0, 0, -29, 1, -14, 0, -29, -28, 0, 13, -1, -14, -36, 0, -22 ], [ -24, -12, 0, 24, 0, -23, 12, 12, 12, -12, 0, 0, 0,\
 -24, 0, -12, 0, -24, -24, 0, 12, 0, -12, -30, 0, -18 ], [ -16, -8, 0, 16, 0, -16, 9, 8, 8, -8, 0, 0, 0, -16, 0, -8, 0, -16, -16, 0, 8, 0, -8, -21, 0, -13\
 ], [ -10, -5, 0, 10, 0, -10, 5, 6, 5, -5, 0, 0, 0, -11, 1, -5, 0, -11, -10, 0, 4, -1, -5, -13, 0, -8 ], [ -6, -3, 0, 6, 0, -6, 3, 3, 4, -3, 0, 0, 0, -7, \
1, -3, 0, -7, -6, 0, 2, -1, -3, -9, 0, -6 ], [ -4, -2, 0, 4, 0, -4, 2, 2, 2, -1, 0, 0, 0, -4, 0, -2, 0, -4, -4, 0, 2, 0, -2, -6, 0, -4 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, \
-2, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
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, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -52, -2, 13, 3, 15, 7, 0, 4, 0, 6, 0, -4, -2, \
11, 2, 2, 0 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 13, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -\
4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 15, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 7, -3, -5, -5, -4, -6, 2\
, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 0, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, \
0, 0, 0 ], [ 0, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 6, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0\
, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, \
-4, 0, 0, 0, 0 ], [ 11, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2,\
 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -8, 8, 10, 0, -8, 0, 16,\
 -4 ], [ -8, -8, 6, 4, 0, -4, 0, 8, -2 ], [ 8, 6, -8, -2, 0, 4, 0, -8, 2 ], [ 10, 4, -2, -8, 2, 4, 0, -8, 2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, -4, 4\
, 4, 2, -8, 2, 8, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 16, 8, -8, -8, 0, 8, 2, -20, 6 ], [ -4, -2, 2, 2, 0, -2, 0, 6, -4 ] ], Sigma := [ [ -1, 0, 0, 0,\
 -1, 1, -1, -1, -2, -2, 1, 0, -1, -2, -1, -1, -1 ], [ -1, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 1, 0, -2, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, \
2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1\
, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -4, 3, 3, 1, -5, 1, 5, -1, 3, -1, 1, -1, -3, -2, -2, 1, -5, -5, -1, 3, 1, -6, -5, -2, -3 ], em\
bQ := [ [ 2, 1, -1, -1, 0, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, \
-4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0,\
 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1,\
 -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, -2, 8, 0, 0, 0, 3, 0, -3, 0, -2, 1, 0, -3, -3, -3, 2, -3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2,\
 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 8, 5, 9, 14, 12, 10, 7, 4, 3, 1 ], rlifts := [ [ -2, -1, 1, 1, 0, -1, 0, 2, -1, 1, 0, 0, 0, -\
1, -1, 0, 1, -1, -1, -1, 1, 0, -2, -1, -1, 0 ], [ -2, -1, 1, 1, 0, -1, 0, 2, -1, 1, 0, 0, 0, -1, 1, -1, -1, -2, -2, 1, 0, -1, -2, -1, -1, -1 ] ], rootsQ :\
= [ [ 1, 0, 0, 0, 1, -1, 1, 1, 2, 2, -1, 0, 1, 2, 1, 1, 1 ], [ -1, 0, 0, 0, -1, 1, -1, -1, -2, -2, 1, 0, -1, -2, -1, -1, -1 ], [ 1, 0, 0, 0, 1, 1, 0, -1, \
1, 1, 1, -1, 0, 2, 1, 1, 0 ], [ -1, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 1, 0, -2, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ \
0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0,\
 -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A\
1" ], theg := [ [ -15, -10, -18, -28, -24, -20, -14, -8, -6, -2 ], [ -8, -4, -9, -14, -12, -10, -7, -4, -3, -1 ], [ 8, 5, 10, 14, 12, 10, 7, 4, 3, 1 ], [ \
8, 5, 9, 15, 12, 10, 7, 4, 3, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -5, -9, -14, -12, -9, -7, -4, -3, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16,\
 10, 18, 28, 24, 20, 14, 9, 6, 2 ], [ -8, -5, -9, -14, -12, -10, -7, -4, -2, -1 ], [ 8, 5, 9, 14, 12, 10, 7, 4, 3, 2 ] ], thegtilde := [ [ -15, -8, 8, 8, \
0, -8, 0, 16, -8, 8, 0, 0, 0, -8, 0, -4, 0, -12, -12, 0, 4, -4, -16, -8, -8, -4 ], [ -10, -4, 5, 5, 0, -5, 0, 10, -5, 5, 0, 0, 0, -5, -1, -2, 1, -7, -7, -\
1, 3, -2, -10, -5, -5, -2 ], [ -18, -9, 10, 9, 0, -9, 0, 18, -9, 9, 0, 0, 0, -9, -1, -4, 1, -13, -13, -1, 5, -4, -18, -9, -9, -4 ], [ -28, -14, 14, 15, 0,\
 -14, 0, 28, -14, 14, 0, 0, 0, -15, -1, -6, 2, -21, -20, -2, 7, -7, -28, -14, -14, -6 ], [ -24, -12, 12, 12, 1, -12, 0, 24, -12, 12, 0, 0, 0, -13, -1, -5,\
 2, -18, -17, -2, 6, -6, -24, -12, -12, -5 ], [ -20, -10, 10, 10, 0, -9, 0, 20, -10, 10, 0, 0, 0, -10, 0, -5, 0, -15, -15, 0, 5, -5, -20, -10, -10, -5 ], \
[ -14, -7, 7, 7, 0, -7, 1, 14, -7, 7, 0, 0, 0, -7, -1, -3, 1, -10, -10, -1, 4, -3, -14, -7, -7, -3 ], [ -8, -4, 4, 4, 0, -4, 0, 9, -4, 4, 0, 0, 0, -5, -1,\
 -1, 2, -6, -5, -2, 2, -2, -8, -4, -4, -1 ], [ -6, -3, 3, 3, 0, -3, 0, 6, -2, 3, 0, 0, 0, -4, 0, -1, 1, -5, -4, -1, 1, -2, -6, -3, -3, -1 ], [ -2, -1, 1, \
1, 0, -1, 0, 2, -1, 2, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 1, 0, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, \
0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 2, -2, 1, -1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, \
1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, -1, 1, -2, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 2, 1, 1, -2, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 1, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -38, 1, -3, -4, 0, 5, 11, -3, 9, -5, 2, -2, 0, 1, 4, 0, 4 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -\
2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [\
 0, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4, 2, -8\
, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, \
-2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4,\
 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 1, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0,\
 0, -4, 0, 0, 0 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, \
-2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -2, 2, 4, 0, -2, 2, 0, 2 ], [ -2, -8, 0, -2, 0, -4, 0, -6, 2 ], [ 2, 0, -8, -2, 0, -2, \
-2, -6, 0 ], [ 4, -2, -2, -8, 2, -2, -2, -6, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -2, -4, -2, -2, 2, -8, 2, -6, 2 ], [ 2, 0, -2, -2, 0, 2, -4, -2, 0 ], \
[ 0, -6, -6, -6, 0, -6, -2, -12, 2 ], [ 2, 2, 0, 0, 0, 2, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, -1, 0, -2, 0, -1 ], [ -1, 0,\
 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -2, -1, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -\
1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5,\
 -4, 3, 3, 1, -5, 3, -1, 5, 1, -1, 1, -1, -3, -2, -4, 1, -5, -3, -1, 1, -1, -3, -6, 1, -4 ], embQ := [ [ 2, 1, -1, -1, 0, 1, -1, 1, -2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0,\
 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 1, 0, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0 ], [ 0\
, 2, -4, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, 0, 1, -1, -1, 1 ], [ 2, 0, 2, -4, 2, 0, 2, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, -2, \
-1, 1, 1, 3, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 4, -2, -2, 2, 0, 0, 0, 1, 0, -\
1, 0, -2, -2, 0, 1, 1, -3, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, 0, -2, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 4, -6, \
0, 2, 0, 0, 0, 3, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ \
8, 5, 9, 14, 12, 10, 7, 5, 2, 1 ], rlifts := [ [ -2, -1, 1, 1, 0, -1, 1, -1, 2, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, -1, 0, -2, 0, -1 ], [ -2, -1, 1, 1\
, 0, -1, 1, -1, 2, 0, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -2, -1, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1 ], [ -1\
, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, -1, 0, -2, 0, -1 ], [ 1, 0, 0, 0, 1, -1, 2, 0, 2, 1, 0, 1, 2, 1, 1, -1, 1 ], [ -1, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0\
, -1, -2, -1, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -\
2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2,\
 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0\
, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -15, -10, -18, -28, -24, -20, -14, -10, -4, -2 ],\
 [ -8, -4, -9, -14, -12, -10, -7, -5, -2, -1 ], [ 8, 5, 10, 14, 12, 10, 7, 5, 2, 1 ], [ 8, 5, 9, 15, 12, 10, 7, 5, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 \
], [ -8, -5, -9, -14, -12, -9, -7, -5, -2, -1 ], [ 8, 5, 9, 14, 12, 10, 8, 5, 2, 1 ], [ -8, -5, -9, -14, -12, -10, -7, -4, -2, -1 ], [ 16, 10, 18, 28, 24,\
 20, 14, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -15, -8, 8, 8, 0, -8, 8, -8, 16, 0, 0, 0, 0, -8, 0, -12, 0, -12, -4, 0, -4, -12,\
 -4, -12, 4, -8 ], [ -10, -4, 5, 5, 0, -5, 5, -5, 10, 0, 0, 0, 0, -5, -1, -7, 0, -7, -2, 0, -2, -7, -2, -8, 2, -5 ], [ -18, -9, 10, 9, 0, -9, 9, -9, 18, 0\
, 0, 0, 0, -9, -1, -13, 0, -13, -4, 0, -4, -13, -4, -14, 4, -9 ], [ -28, -14, 14, 15, 0, -14, 14, -14, 28, 0, 0, 0, 0, -15, -1, -20, 0, -21, -6, 0, -7, -2\
1, -6, -22, 6, -14 ], [ -24, -12, 12, 12, 1, -12, 12, -12, 24, 0, 0, 0, 0, -13, -1, -17, 0, -18, -5, 0, -6, -18, -5, -19, 5, -12 ], [ -20, -10, 10, 10, 0,\
 -9, 10, -10, 20, 0, 0, 0, 0, -10, 0, -15, 0, -15, -5, 0, -5, -15, -5, -15, 5, -10 ], [ -14, -7, 7, 7, 0, -7, 8, -7, 14, 0, 0, 0, 0, -7, -1, -10, 0, -10, \
-3, 0, -3, -10, -3, -11, 3, -7 ], [ -10, -5, 5, 5, 0, -5, 5, -4, 10, 0, 0, 0, 0, -6, -2, -6, 0, -7, -1, 0, -2, -7, -1, -9, 1, -5 ], [ -4, -2, 2, 2, 0, -2,\
 2, -2, 5, 0, 0, 0, 0, -3, 1, -3, 0, -4, -1, 0, -2, -4, -1, -3, 1, -2 ], [ -2, -1, 1, 1, 0, -1, 1, -1, 2, 1, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -2, -1,\
 -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, \
1, 3, 0, 2, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 1, 0, 2, -1, 2, 2, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, -2, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 2, 0, 1, 1,\
 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
2, 1, 0, 1, 1, 0, 1, 1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ \
-120, -4, 3, -9, 5, 8, 15, -2, 15, -5, 3, -6, -4, 10, 8, 5, 3 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3, -2, -12, -8, -10, \
-5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -9, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 5, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4,\
 2, 2, -4, 4, 4, -2 ], [ 8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 15, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2,\
 -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 15, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4,\
 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0\
, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 8, 2, 2, 2, 4, 2, \
-2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 3, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -\
4 ] ], GramQperp := [ [ -8, -8, -4, -2, -4, -12, 4, 0, 2 ], [ -8, -24, -10, -12, -10, -32, 10, 0, 4 ], [ -4, -10, -12, -6, -6, -20, 6, 0, 2 ], [ -2, -12, \
-6, -12, -4, -20, 6, 0, 2 ], [ -4, -10, -6, -4, -8, -16, 6, 0, 2 ], [ -12, -32, -20, -20, -16, -52, 16, 0, 6 ], [ 4, 10, 6, 6, 6, 16, -8, 2, -2 ], [ 0, 0,\
 0, 0, 0, 0, 2, -4, 2 ], [ 2, 4, 2, 2, 2, 6, -2, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0, -1 ], [ -1, 0, 0, 0, -1, \
0, -2, 0, -3, -2, 0, 0, -1, -3, -2, -1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1\
, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -4, 3, 3, \
3, -9, 5, 1, 1, 5, -1, 1, -1, -3, -2, -5, 1, -8, -6, -1, 2, 0, -8, -7, -1, -5 ], embQ := [ [ 2, 1, -1, -1, -1, 3, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 2, 3, -4, 7, -5 ], [ 0, 2, -4, \
2, 2, -4, 2, 0, 2, -4, 0, 0, 0, -3, 0, -1, 0, -2, -3, 0, 2, 3, 0, -4, 1, -2 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 2, 0,\
 -2, 5, -4 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 3, 2, 1, -2, 1, -2 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 6, -12, 0, 0, 0, -5, 0, \
1, 0, -1, -4, 0, 5, 5, 2, -7, 8, -7 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4,\
 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [\
 11, 7, 13, 20, 17, 15, 10, 7, 4, 1 ], rlifts := [ [ -2, -1, 1, 1, 1, -3, 2, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, -1, -2 ], [ -2, -1,\
 1, 1, 1, -3, 2, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0, 3, 2, 0, 0, 1, 3, 2, 0, 1 ], [\
 -1, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0, -1 ], [ 1, 0, 0, 0, 1, 0, 2, 0, 3, 2, 0, 0, 1, 3, 2, 1, 2 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -3, -2,\
 0, 0, -1, -3, -2, -1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0,\
 -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, \
2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1,\
 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -21, -14, -26, -40, -34, -30, -20, -14, -8, -2 \
], [ -11, -6, -13, -20, -17, -15, -10, -7, -4, -1 ], [ 11, 7, 14, 20, 17, 15, 10, 7, 4, 1 ], [ 11, 7, 13, 21, 17, 15, 10, 7, 4, 1 ], [ 11, 7, 13, 20, 18, \
15, 10, 7, 4, 1 ], [ -33, -21, -39, -60, -51, -44, -30, -21, -12, -3 ], [ 22, 14, 26, 40, 34, 30, 21, 14, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 22, 14, 26, 40, 34, 30, 20, 14, 8, 3 ] ], thegtilde := [ [ -21, -11, 11, 11, 11, -33, 22, 0, 0, 22, 0, 0, 0, -11, 0, -22, 0,\
 -33, -22, 0, 0, -11, -33, -22, -6, -17 ], [ -14, -6, 7, 7, 7, -21, 14, 0, 0, 14, 0, 0, 0, -7, 0, -14, 0, -21, -14, 0, 0, -7, -21, -14, -4, -11 ], [ -26, \
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 -21, 1, -40, 0, -61, -40, 0, -1, -21, -60, -40, -11, -31 ], [ -34, -17, 17, 17, 18, -51, 34, 0, 0, 34, 0, 0, 0, -18, 1, -34, 0, -52, -34, 0, -1, -18, -51\
, -34, -9, -26 ], [ -30, -15, 15, 15, 15, -44, 30, 0, 0, 30, 0, 0, 0, -15, 0, -30, 0, -45, -30, 0, 0, -15, -45, -30, -8, -23 ], [ -20, -10, 10, 10, 10, -3\
0, 21, 0, 0, 20, 0, 0, 0, -10, 0, -20, 0, -30, -20, 0, 0, -10, -30, -20, -6, -16 ], [ -14, -7, 7, 7, 7, -21, 14, 1, 0, 14, 0, 0, 0, -8, 1, -14, 0, -22, -1\
4, 0, -1, -8, -21, -14, -4, -11 ], [ -8, -4, 4, 4, 4, -12, 8, 0, 1, 8, 0, 0, 0, -5, 1, -8, 0, -13, -8, 0, -1, -5, -12, -8, -3, -7 ], [ -2, -1, 1, 1, 1, -3\
, 2, 0, 0, 3, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, -2, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1,\
 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0 ] ] ), rec( GramQ := [ [ -26, -1, 8, 2, 11, 5, 3, 1, 1, 3, -1, -3, -2, 6, 2, 0, 0 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, \
0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 11, \
-2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, \
-6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 \
], [ 3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -3, -2, -2, -4, 2, -2\
, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -\
4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -\
2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 10, 4, -4, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ],\
 [ 10, 0, 2, -8, 0, 2, 0, 0, 0 ], [ 4, 0, 0, 0, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 2, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, \
-4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, \
1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0,\
 -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -2, 1, 3, 3, -5, 1, 1, 1, 1, -1\
, 1, -1, -3, -2, -3, 1, -4, -4, -1, 2, 1, -4, -5, 0, -2 ], embQ := [ [ 2, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, -4, 8, -4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, \
3, 0, -2, -3, 3, 3, -3, 5 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -2, -1, 3, -3 ], [ 0, 0, 0, 2, -2\
, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0\
, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, 2, 4, 6, 5, 5, 4, 3, 2, 1 ], rli\
fts := [ [ -2, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0 ], [ -2, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, \
0, -1, -1, 0, 0, 0, -1, -1, 0, 0 ] ], rootsQ := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0\
, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 0, \
1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ], [\
 -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1,\
 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ \
:= [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -4, -8, -12, -10, -10, -8, -6, -4, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0 ], [ 4, 2, 4, 7, 5, 5, 4, 3, 2, 1 ], [ 4, 2, 4, 6, 6, 5, 4, 3, 2, 1 ], [ -4, -2, -4, -6, -5, -4, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -7, 0, 0, 4, 4, -4, 0, 0, 0\
, 0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 0, 0, -2, -4, -4, 0, 0 ], [ -4, 1, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 0, -1, -2, -2, 0, 0 ], [\
 -8, 0, 1, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 0, 0, -3, -4, -4, 0, 0 ], [ -12, 0, 0, 7, 6, -6, 0, 0, 0, 0, 0, 0, 0, -7, 1, -6, 0, -7, -6\
, 0, -1, -4, -6, -6, 0, 0 ], [ -10, 0, 0, 5, 6, -5, 0, 0, 0, 0, 0, 0, 0, -6, 1, -5, 0, -6, -5, 0, -1, -4, -5, -5, 0, 0 ], [ -10, 0, 0, 5, 5, -4, 0, 0, 0, \
0, 0, 0, 0, -5, 0, -5, 0, -5, -5, 0, 0, -4, -5, -5, 0, 0 ], [ -8, 0, 0, 4, 4, -4, 1, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 0, 0, -2, -4, -4, 0, 0 ], [ -\
6, 0, 0, 3, 3, -3, 0, 1, 0, 0, 0, 0, 0, -4, 1, -3, 0, -4, -3, 0, -1, -2, -3, -3, 0, 0 ], [ -4, 0, 0, 2, 2, -2, 0, 0, 1, 0, 0, 0, 0, -3, 1, -2, 0, -3, -2, \
0, -1, -2, -2, -2, 0, 0 ], [ -2, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -112, -4, 7, -6, 14, 7, 14, -2, 11, -3, 0, -8, -6, 10, 6, 4, 2 ], [\
 -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -6, -4, -8, -12, -6, \
-5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 14, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 7, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, \
-2, -2, -2, 2, 2, -2 ], [ 14, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1\
1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, \
0, -4, -2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0,\
 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 4, 2, 2, 2, 4, 2, -2, 0\
, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 18, 0, -16, 0, 8, 12 ], [ 0, -\
4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 18, 0, 2, -20, 2, 16, 0, -8, -12 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -16, 0, 0, 16, 2, -20, 2\
, 8, 12 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 8, 0, 0, -8, 0, 8, 2, -8, -4 ], [ 12, 0, 0, -12, 0, 12, 0, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, \
0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0, -1, -2, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, \
0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, \
1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -5, -2, 1, 5, 1, -7, 1, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1, -7, -5, -1, 2, 0, -6, -7, -2, -4 ], embQ := [ [ 2, \
0, 0, -2, 0, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0\
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, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 1, -1, 0, 2, 1, 3, -3, 3, -1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0,\
 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0\
, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -\
1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, \
0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 10, 6, 12, 18, 16, 14, 10, 6, 3, 1 ], rlifts := [ [ -2, 0, 0, 2, 0, -2, 0, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0,\
 -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ -2, 0, 0, 2, 0, -2, 0, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0, -1, -2, -2, -1, -1 ] ], rootsQ := [ [ 1, 0, 0,\
 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 2, 2, 1, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, \
2, 1, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0, -1, -2, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1,\
 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1,\
 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1,\
 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ \
-19, -12, -24, -36, -32, -28, -20, -12, -6, -2 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 12, 24, 37, 32, 28, 20, 12, 6,\
 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -20, -12, -24, -36, -32, -27, -20, -12, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 10, 6, 12, 18, 16, 14, 10,\
 7, 3, 1 ], [ 10, 6, 12, 18, 16, 14, 10, 6, 4, 1 ], [ 10, 6, 12, 18, 16, 14, 10, 6, 3, 2 ] ], thegtilde := [ [ -19, 0, 0, 20, 0, -20, 0, 10, 10, 10, 0, 0,\
 0, -20, 0, -20, 0, -25, -15, 0, 0, -10, -20, -20, -10, -10 ], [ -12, 1, 0, 12, 0, -12, 0, 6, 6, 6, 0, 0, 0, -12, 0, -12, 0, -15, -9, 0, 0, -6, -12, -12, \
-6, -6 ], [ -24, 0, 1, 24, 0, -24, 0, 12, 12, 12, 0, 0, 0, -24, 0, -24, 0, -30, -18, 0, 0, -12, -24, -24, -12, -12 ], [ -36, 0, 0, 37, 0, -36, 0, 18, 18, \
18, 0, 0, 0, -37, 1, -36, 0, -47, -28, 0, -1, -19, -36, -36, -18, -18 ], [ -32, 0, 0, 32, 1, -32, 0, 16, 16, 16, 0, 0, 0, -33, 1, -32, 0, -42, -25, 0, -1,\
 -17, -32, -32, -16, -16 ], [ -28, 0, 0, 28, 0, -27, 0, 14, 14, 14, 0, 0, 0, -28, 0, -28, 0, -35, -21, 0, 0, -14, -28, -28, -14, -14 ], [ -20, 0, 0, 20, 0\
, -20, 1, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -26, -16, 0, 0, -10, -20, -20, -10, -10 ], [ -12, 0, 0, 12, 0, -12, 0, 7, 6, 6, 0, 0, 0, -13, 1, -12, 0, -1\
7, -10, 0, -1, -7, -12, -12, -6, -6 ], [ -6, 0, 0, 6, 0, -6, 0, 3, 4, 3, 0, 0, 0, -7, 1, -6, 0, -9, -5, 0, -1, -4, -6, -6, -3, -3 ], [ -2, 0, 0, 2, 0, -2,\
 0, 1, 1, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -2, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, \
1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -152, 3, 7, -5, 20, 13, 13, -4, 11, -1, -3, -8, -6, 6, 1, -8, 13 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2\
, 0, 2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 2\
0, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 13, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 13, 2, 6, 6, 4, 2, -8\
, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 11, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2,\
 -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, -\
4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0,\
 0, 0, -4, 0, 0, 0 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 13, -2, 0\
, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -24, -28, -12, -10, -10, -32, 10, 4, 4 ], [ -28, -44, -14, -16, -14, -44, 14, 6, 6 ], \
[ -12, -14, -12, -6, -6, -20, 6, 2, 2 ], [ -10, -16, -6, -12, -4, -20, 6, 2, 2 ], [ -10, -14, -6, -4, -8, -16, 6, 2, 2 ], [ -32, -44, -20, -20, -16, -52, \
16, 6, 6 ], [ 10, 14, 6, 6, 6, 16, -8, 0, -2 ], [ 4, 6, 2, 2, 2, 6, 0, -4, 0 ], [ 4, 6, 2, 2, 2, 6, -2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0,\
 -3, -2, 0, 0, -1, -1, -3, 2, -3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1\
 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0\
, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -8, 3, 3, 3, -9, 5, 1, 5, 1, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 2, 0, -4, -9, 3, -8 ], embQ := [ [ 1, 3, -1\
, -1, -1, 3, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0,\
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] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2, 4, -8, 4, 0, 0, 0, 0, 0, 0, 0, -3, -5, 0, 3, 2, -7, -1, -4, 1 ], [ 0, -4, 2, 0, 2, -4, 2, 6, -12, 6, 0, 0, 0, \
2, 0, 2, 0, -2, -5, 0, 4, 3, -7, 1, -3, 0 ], [ 0, 2, -4, 2, 2, -4, 2, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -3, -4, 0, 2, 3, -4, -2, -3, 0 ], [ 2, 0, 2, -4, 4,\
 -4, 2, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 1, 2, -4, 0, 1, -2 ], [ 0, 0, 0, 2, -2, -2, 2, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 3, 2, -3, 0, -3\
, 0 ], [ 0, 0, 0, 0, 4, -8, 4, 6, -12, 6, 0, 0, 0, 1, 0, 1, 0, -4, -7, 0, 5, 5, -10, -1, -4, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, -2, 0, -1, 0\
, 1, 2, 0, -2, -2, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0,\
 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 13, 10, 17, 25, 21, 18, 12, 8, 4, 2 ], rlifts := [ [ -1, -3, 1, 1, 1, -3, 2, 0, 2, 0, 0, 0, 0,\
 -2, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 2, -3 ], [ -1, -3, 1, 1, 1, -3, 2, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 1, -3 ] ], rootsQ :=\
 [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 1, 3, -2, 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 2, -3 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2,\
 0, 0, 1, 1, 3, -1, 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2,\
 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, \
1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1,\
 -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ],\
 theg := [ [ -12, -10, -17, -25, -21, -18, -12, -8, -4, -2 ], [ -39, -29, -51, -75, -63, -54, -36, -24, -12, -6 ], [ 13, 10, 18, 25, 21, 18, 12, 8, 4, 2 ]\
, [ 13, 10, 17, 26, 21, 18, 12, 8, 4, 2 ], [ 13, 10, 17, 25, 22, 18, 12, 8, 4, 2 ], [ -39, -30, -51, -75, -63, -53, -36, -24, -12, -6 ], [ 26, 20, 34, 50,\
 42, 36, 25, 16, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 26, 20, 34, 50, 42, 36, 24, 16, 9, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ \
-12, -39, 13, 13, 13, -39, 26, 0, 26, 0, 0, 0, 0, -26, 0, -26, 0, -39, -26, 0, 0, -13, -13, -39, 20, -39 ], [ -10, -29, 10, 10, 10, -30, 20, 0, 20, 0, 0, \
0, 0, -20, 0, -20, 0, -30, -20, 0, 0, -10, -10, -30, 14, -30 ], [ -17, -51, 18, 17, 17, -51, 34, 0, 34, 0, 0, 0, 0, -34, 0, -34, 0, -51, -34, 0, 0, -17, -\
17, -51, 26, -51 ], [ -25, -75, 25, 26, 25, -75, 50, 0, 50, 0, 0, 0, 0, -51, 1, -50, 0, -76, -50, 0, -1, -26, -25, -75, 37, -75 ], [ -21, -63, 21, 21, 22,\
 -63, 42, 0, 42, 0, 0, 0, 0, -43, 1, -42, 0, -64, -42, 0, -1, -22, -21, -63, 32, -63 ], [ -18, -54, 18, 18, 18, -53, 36, 0, 36, 0, 0, 0, 0, -36, 0, -36, 0\
, -54, -36, 0, 0, -18, -18, -54, 26, -54 ], [ -12, -36, 12, 12, 12, -36, 25, 0, 24, 0, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, 0, -12, -12, -36, 17, -36 ], \
[ -8, -24, 8, 8, 8, -24, 16, 1, 16, 0, 0, 0, 0, -17, 1, -16, 0, -25, -16, 0, -1, -9, -8, -24, 12, -24 ], [ -4, -12, 4, 4, 4, -12, 8, 0, 9, 0, 0, 0, 0, -9,\
 1, -8, 0, -13, -8, 0, -1, -5, -4, -12, 6, -12 ], [ -2, -6, 2, 2, 2, -6, 4, 0, 4, 1, 0, 0, 0, -4, 0, -4, 0, -6, -4, 0, 0, -2, -2, -6, 1, -6 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0,\
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ] ), rec( GramQ := [ [ -114, 4, 19, 6, 32, 14, 0, 2, -2, 10, -6, -7\
, -5, 10, -4, -10, 10 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 19, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 \
], [ 6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 32, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 14, -3, -5, -5,\
 -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 0, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2\
, -2, -2, 0, 0, 0 ], [ -2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 10, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -6, 0\
, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -7, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -5, -2, 0, -4, 2, -2, 2, -2, 2,\
 -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ],\
 [ -10, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, -4, \
0, -8, 2, 0, 0, 0 ], [ -4, -12, 2, 2, -4, -2, 2, 2, 0 ], [ -4, 2, -12, -4, -12, 6, -2, -2, 0 ], [ 0, 2, -4, -8, -8, 6, -2, -2, 0 ], [ -8, -4, -12, -8, -20\
, 8, -2, -2, 0 ], [ 2, -2, 6, 6, 8, -8, 4, 2, 0 ], [ 0, 2, -2, -2, -2, 4, -4, 0, 0 ], [ 0, 2, -2, -2, -2, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ],\
 Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, -1, -1, -2, 1, -2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 0, 0, -1, -2, 1, -2 ], [ 0, -2, 0, 0, \
1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -8, 3, 3, 3, -7, 1, 5, 1, 1, -1, 1, -1, -5, -2, -3, 1, -6, -6, -1, 3, 1\
, -4, -7, 2, -6 ], embQ := [ [ 1, 3, -1, -1, -1, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -3, 2 ], [ 0, -4, 2,\
 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, -2, 3, 1, 1, 0 ], [ 0, 2, -4, 4, -4, 2, -2, 4, -2, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 2, 2, 0, 0,\
 -5, 2 ], [ 2, 0, 2, -2, -2, 2, -2, 4, -2, 0, 0, 0, 0, 1, 0, 3, 0, 2, 1, 0, 1, 1, 0, 2, -1, 0 ], [ 0, 0, 0, 4, -8, 4, -2, 4, -2, 0, 0, 0, 0, 1, 0, 3, 0, 2\
, 1, 0, 3, 1, 1, 2, -5, 2 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 0, 0, -1, -2, 2, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 10, 8, 13, 19, 16, 14, 10, 6, 4, 2 ], rlifts := [ [ -1, -3, 1, 1, 1, -2, 0, \
2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, -1, -1, -2, 1, -2 ], [ -1, -3, 1, 1, 1, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 0, 0, -1, -2, 1, -\
2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, -1, 1, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, -1, -1, -2, 1, -2 ], [ 1, 0, 0, 0, \
2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 0, 0, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0,\
 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1\
, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1\
", "A1", "A1" ], theg := [ [ -9, -8, -13, -19, -16, -14, -10, -6, -4, -2 ], [ -30, -23, -39, -57, -48, -42, -30, -18, -12, -6 ], [ 10, 8, 14, 19, 16, 14, \
10, 6, 4, 2 ], [ 10, 8, 13, 20, 16, 14, 10, 6, 4, 2 ], [ 10, 8, 13, 19, 17, 14, 10, 6, 4, 2 ], [ -20, -16, -26, -38, -32, -27, -20, -12, -8, -4 ], [ 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0 ], [ 20, 16, 26, 38, 32, 28, 20, 13, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ \
[ -9, -30, 10, 10, 10, -20, 0, 20, 0, 0, 0, 0, 0, -20, 0, -10, 0, -20, -20, 0, 5, -5, -10, -20, 10, -20 ], [ -8, -23, 8, 8, 8, -16, 0, 16, 0, 0, 0, 0, 0, \
-16, 0, -8, 0, -16, -16, 0, 4, -4, -8, -16, 8, -16 ], [ -13, -39, 14, 13, 13, -26, 0, 26, 0, 0, 0, 0, 0, -26, 0, -13, 0, -26, -26, 0, 7, -7, -13, -26, 13,\
 -26 ], [ -19, -57, 19, 20, 19, -38, 0, 38, 0, 0, 0, 0, 0, -39, 1, -19, 0, -39, -38, 0, 9, -11, -19, -38, 19, -38 ], [ -16, -48, 16, 16, 17, -32, 0, 32, 0\
, 0, 0, 0, 0, -33, 1, -16, 0, -33, -32, 0, 7, -9, -16, -32, 16, -32 ], [ -14, -42, 14, 14, 14, -27, 0, 28, 0, 0, 0, 0, 0, -28, 0, -14, 0, -28, -28, 0, 7, \
-7, -14, -28, 14, -28 ], [ -10, -30, 10, 10, 10, -20, 1, 20, 0, 0, 0, 0, 0, -20, 0, -10, 0, -20, -20, 0, 5, -5, -10, -20, 10, -20 ], [ -6, -18, 6, 6, 6, -\
12, 0, 13, 0, 0, 0, 0, 0, -13, 1, -6, 0, -13, -12, 0, 2, -4, -6, -12, 6, -12 ], [ -4, -12, 4, 4, 4, -8, 0, 8, 1, 0, 0, 0, 0, -9, 1, -4, 0, -9, -8, 0, 1, -\
3, -4, -8, 4, -8 ], [ -2, -6, 2, 2, 2, -4, 0, 4, 0, 1, 0, 0, 0, -4, 0, -2, 0, -4, -4, 0, 1, -1, -2, -4, 2, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -74, 3, 5, -1, 8, 12, 8, 0, 8, 0, 2, -2, 0, 7, 2, -2, 8 ], [ 3, -4, -2, -4, -2\
, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -\
1, -4, -4, -2, 2, 2, 0 ], [ 8, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 12, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -\
2 ], [ 8, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 8, 2, 6, 8, 6, 2, -6, \
4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -\
2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 7, 0, -4, -2, -4\
, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2\
, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 2, -4, 0, -2, -8, 2 ], [ -4, -12, 6, 0, 0, -4, 2, -4, \
4 ], [ 0, 6, -8, 2, -4, 4, -4, -4, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -4, 0, -4, 2, -12, 6, -6, -12, 0 ], [ 0, -4, 4, 0, 6, -8, 6, 4, 2 ], [ -2, 2, -\
4, 0, -6, 6, -8, -8, 0 ], [ -8, -4, -4, 0, -12, 4, -8, -20, 2 ], [ 2, 4, -2, 0, 0, 2, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 0,\
 -1, -1, -2, 0, -2 ], [ -1, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, -1, -2, -3, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2\
, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0,\
 0, 0, 0 ] ], adjweyl := [ -3, -8, 5, 1, 3, -7, 3, 3, 1, 5, -1, 1, -1, -3, -2, -4, 1, -7, -5, -1, 1, -1, -6, -6, 1, -6 ], embQ := [ [ 1, 3, -2, 0, -1, 2, \
-1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQper\
p := [ [ -4, 0, 0, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, -2, 0, -1, 0, 1 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1,\
 1, 0, 0, -1, 4, -1, 5, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 2, -4, 0, 4, 0, 0, 0, 3, 0, -1, 0, 0, 2, 0, -1, -2, 0, 2, -3, 2 ], [ 0, 0, 0, 0, 2\
, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 0, 4, 0, 0, 0, 1, 0, -2, 0, 0, 2, 0, -3, -3, 0, 2, -\
1, 2 ], [ 0, 0, 0, 0, 0, 0, 4, -8, 2, 4, 0, 0, 0, 3, 0, -3, 0, -1, 2, 0, -3, -3, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1\
, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 12, 9, 15, 23, 19, 16, 11, 7, 4, 1 ], rlifts := [ [ -1, -3, 2, 0, 1, -2, 1, 1, 0, 2, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0,\
 -1, -2, -3, -1, 1, -2 ], [ -1, -3, 2, 0, 1, -2, 1, 1, 0, 2, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 0, -1, -1, -2, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, \
1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2 ], [ -1, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 0, -1, -1, -2, 0, -2 ], [ 1, 0, 0, 0, 1, -1, 2, 0, 3, 2, 0, 1, 2, 3, 1, -1, 2 \
], [ -1, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, -1, -2, -3, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -\
1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ \
0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -11, -9,\
 -15, -23, -19, -16, -11, -7, -4, -1 ], [ -36, -26, -45, -69, -57, -48, -33, -21, -12, -3 ], [ 24, 18, 31, 46, 38, 32, 22, 14, 8, 2 ], [ 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0 ], [ 12, 9, 15, 23, 20, 16, 11, 7, 4, 1 ], [ -24, -18, -30, -46, -38, -31, -22, -14, -8, -2 ], [ 12, 9, 15, 23, 19, 16, 12, 7, 4, 1 ], [ 12, 9\
, 15, 23, 19, 16, 11, 8, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 24, 18, 30, 46, 38, 32, 22, 14, 8, 3 ] ], thegtilde := [ [ -11, -36, 24, 0, 12, -24, \
12, 12, 0, 24, 0, 0, 0, -12, 0, -18, 0, -30, -18, 0, -6, -18, -24, -18, 6, -24 ], [ -9, -26, 18, 0, 9, -18, 9, 9, 0, 18, 0, 0, 0, -9, 1, -14, 0, -23, -14,\
 0, -5, -14, -19, -13, 5, -18 ], [ -15, -45, 31, 0, 15, -30, 15, 15, 0, 30, 0, 0, 0, -15, 1, -23, 0, -38, -23, 0, -8, -23, -31, -22, 8, -30 ], [ -23, -69,\
 46, 1, 23, -46, 23, 23, 0, 46, 0, 0, 0, -24, 2, -35, 0, -59, -35, 0, -13, -36, -47, -34, 12, -46 ], [ -19, -57, 38, 0, 20, -38, 19, 19, 0, 38, 0, 0, 0, -\
20, 2, -29, 0, -49, -29, 0, -11, -30, -39, -28, 10, -38 ], [ -16, -48, 32, 0, 16, -31, 16, 16, 0, 32, 0, 0, 0, -16, 0, -24, 0, -40, -24, 0, -8, -24, -32, \
-24, 8, -32 ], [ -11, -33, 22, 0, 11, -22, 12, 11, 0, 22, 0, 0, 0, -11, 1, -17, 0, -28, -17, 0, -6, -17, -23, -16, 6, -22 ], [ -7, -21, 14, 0, 7, -14, 7, \
8, 0, 14, 0, 0, 0, -8, 2, -11, 0, -19, -11, 0, -5, -12, -15, -10, 4, -14 ], [ -4, -12, 8, 0, 4, -8, 4, 4, 1, 8, 0, 0, 0, -5, 1, -6, 0, -11, -6, 0, -3, -7,\
 -8, -6, 2, -8 ], [ -1, -3, 2, 0, 1, -2, 1, 1, 0, 3, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, -1, -2, -3, -1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -124, -3, 8, -6, 15, 9, 14, -2, 12, -2, 0, -8, -6, 10, 5, 3, 4 ], [ -3, -4\
, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -6, -4, -8, -12, -6, -5, 6, \
-5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 15, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2,\
 -2, 2, 2, -2 ], [ 14, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 12, 2, 6\
, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, \
-2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [\
 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 3, 2, 2, 2, 4, 2, -2, 0, -2, 2\
, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, -4, 0, 8, 0, -4, 0, 4, 2 ], [ -4, -8, 2, 4,\
 0, -4, 0, 4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 8, 4, 2, -8, 2, 4, 0, -4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, -4, 0, 4, 2, -8, 2, 4, 2 ], [ 0\
, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 4, 4, 0, -4, 0, 4, 2, -8, 0 ], [ 2, 2, 0, -2, 0, 2, 0, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1,\
 -2, -2, -1, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0\
, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0,\
 0, 0 ] ], adjweyl := [ -3, -6, 1, 5, 1, -7, 1, 5, 1, 5, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 2, 0, -6, -7, -2, -5 ], embQ := [ [ 1, 2, 0, -2, 0, 2, 0, -\
2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := \
[ [ -8, 0, 0, 4, 0, 0, 0, 0, 2, -4, 0, 0, 0, -3, 0, -1, 0, -1, -2, 0, 1, -1, 0, -3, 0, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, \
0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, \
0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2,\
 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ \
0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, \
1, -2, 1, -2, 1 ] ], r := [ 12, 9, 16, 23, 20, 17, 12, 7, 4, 1 ], rlifts := [ [ -1, -2, 0, 2, 0, -2, 0, 2, 0, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, \
-2, -2, -1, -2 ], [ -1, -2, 0, 2, 0, -2, 0, 2, 0, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3,\
 2, 0, 0, 1, 2, 2, 1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -2 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 2, 2, 1, 1 ], [ -1, 0\
, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -\
2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -\
2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -11, -9, -16, -23,\
 -20, -17, -12, -7, -4, -1 ], [ -24, -17, -32, -46, -40, -34, -24, -14, -8, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 24, 18, 32, 47, 40, 34, 24, 14, 8, 2\
 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -24, -18, -32, -46, -40, -33, -24, -14, -8, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 24, 18, 32, 46, 40, 34, 24, \
15, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 24, 18, 32, 46, 40, 34, 24, 14, 8, 3 ] ], thegtilde := [ [ -11, -24, 0, 24, 0, -24, 0, 24, 0, 24, 0, 0, 0,\
 -24, 0, -24, 0, -36, -24, 0, 0, -12, -24, -24, -12, -19 ], [ -9, -17, 0, 18, 0, -18, 0, 18, 0, 18, 0, 0, 0, -18, 0, -18, 0, -27, -18, 0, 0, -9, -18, -18,\
 -9, -13 ], [ -16, -32, 1, 32, 0, -32, 0, 32, 0, 32, 0, 0, 0, -32, 0, -32, 0, -48, -32, 0, 0, -16, -32, -32, -16, -25 ], [ -23, -46, 0, 47, 0, -46, 0, 46,\
 0, 46, 0, 0, 0, -47, 1, -46, 0, -70, -46, 0, -1, -24, -46, -46, -23, -35 ], [ -20, -40, 0, 40, 1, -40, 0, 40, 0, 40, 0, 0, 0, -41, 1, -40, 0, -61, -40, 0\
, -1, -21, -40, -40, -20, -31 ], [ -17, -34, 0, 34, 0, -33, 0, 34, 0, 34, 0, 0, 0, -34, 0, -34, 0, -51, -34, 0, 0, -17, -34, -34, -17, -25 ], [ -12, -24, \
0, 24, 0, -24, 1, 24, 0, 24, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, 0, -12, -24, -24, -12, -18 ], [ -7, -14, 0, 14, 0, -14, 0, 15, 0, 14, 0, 0, 0, -15, 1, \
-14, 0, -22, -14, 0, -1, -8, -14, -14, -7, -11 ], [ -4, -8, 0, 8, 0, -8, 0, 8, 1, 8, 0, 0, 0, -9, 1, -8, 0, -13, -8, 0, -1, -5, -8, -8, -4, -7 ], [ -1, -2\
, 0, 2, 0, -2, 0, 2, 0, 3, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, \
1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -64, 4, 0, -2, 4, 10, 11, -3, 9, -3, 1, -1, 0, 2, 2, -4, 8 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0,\
 -2, -2, 0, 2, 2, -2 ], [ 0, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0\
 ], [ 4, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4,\
 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2\
, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -1, -2, -\
2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2,\
 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2,\
 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -8, 4, 2, 8, -8, 4, -4, 6 ], [ -8, -20, 10, 0, 16, -16, 8, -8, 12 ], [ 4, 10, -8\
, 2, -8, 8, -4, 4, -6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 8, 16, -8, 2, -20, 18, -8, 8, -12 ], [ -8, -16, 8, 0, 18, -20, 10, -8, 12 ], [ 4, 8, -4, 0, -8,\
 10, -8, 6, -6 ], [ -4, -8, 4, 0, 8, -8, 6, -8, 8 ], [ 6, 12, -6, 0, -12, 12, -6, 8, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 1, -1, -2, -\
1, -2, 1, -2 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, 2, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, \
-1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0\
, 0 ] ], adjweyl := [ -3, -6, 3, 1, 5, -7, 3, -1, 3, 3, -1, 1, -1, -3, -2, -5, 1, -6, -4, -1, 0, -1, -4, -6, 3, -5 ], embQ := [ [ 1, 2, -1, 0, -2, 2, -1, \
1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp :=\
 [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0,\
 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0, 0, 0, 0, 2, -4,\
 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 \
], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, \
0, 0, -4, 2, -4, 2 ] ], r := [ 8, 6, 10, 15, 12, 11, 8, 6, 3, 1 ], rlifts := [ [ -1, -2, 1, 0, 2, -2, 1, -1, 1, 1, 0, 0, 0, -1, 0, -2, 0, -2, -1, -1, -1, \
-1, -1, -1, 2, -1 ], [ -1, -2, 1, 0, 2, -2, 1, -1, 1, 1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 1, -1, -2, -1, -2, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0\
, 2, 1, -1, 1, 2, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 1, -1, -2, -1, -2, 1, -2 ], [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, -2, 1 ], \
[ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, 2, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1,\
 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0,\
 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, \
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -6, -1\
0, -15, -12, -11, -8, -6, -3, -1 ], [ -16, -11, -20, -30, -24, -22, -16, -12, -6, -2 ], [ 8, 6, 11, 15, 12, 11, 8, 6, 3, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0 ], [ 16, 12, 20, 30, 25, 22, 16, 12, 6, 2 ], [ -16, -12, -20, -30, -24, -21, -16, -12, -6, -2 ], [ 8, 6, 10, 15, 12, 11, 9, 6, 3, 1 ], [ -8, -6, -10, -\
15, -12, -11, -8, -5, -3, -1 ], [ 8, 6, 10, 15, 12, 11, 8, 6, 4, 1 ], [ 8, 6, 10, 15, 12, 11, 8, 6, 3, 2 ] ], thegtilde := [ [ -7, -16, 8, 0, 16, -16, 8, \
-8, 8, 8, 0, 0, 0, -8, 0, -16, 0, -16, -8, 0, -8, -12, -8, -12, 12, -12 ], [ -6, -11, 6, 0, 12, -12, 6, -6, 6, 6, 0, 0, 0, -6, 0, -12, 0, -12, -6, 0, -6, \
-9, -6, -9, 9, -9 ], [ -10, -20, 11, 0, 20, -20, 10, -10, 10, 10, 0, 0, 0, -10, 0, -20, 0, -20, -10, 0, -10, -15, -10, -15, 15, -15 ], [ -15, -30, 15, 1, \
30, -30, 15, -15, 15, 15, 0, 0, 0, -16, 1, -30, 0, -31, -15, 1, -16, -24, -15, -23, 22, -23 ], [ -12, -24, 12, 0, 25, -24, 12, -12, 12, 12, 0, 0, 0, -13, \
1, -24, 0, -25, -12, 0, -13, -19, -12, -18, 18, -18 ], [ -11, -22, 11, 0, 22, -21, 11, -11, 11, 11, 0, 0, 0, -11, 0, -22, 0, -22, -11, -1, -11, -16, -11, \
-16, 17, -16 ], [ -8, -16, 8, 0, 16, -16, 9, -8, 8, 8, 0, 0, 0, -8, 0, -16, 0, -16, -8, 0, -8, -12, -8, -12, 12, -12 ], [ -6, -12, 6, 0, 12, -12, 6, -5, 6\
, 6, 0, 0, 0, -7, 1, -12, 0, -13, -6, 0, -7, -10, -6, -9, 9, -9 ], [ -3, -6, 3, 0, 6, -6, 3, -3, 4, 3, 0, 0, 0, -4, 1, -6, 0, -7, -3, 1, -4, -6, -3, -5, 4\
, -5 ], [ -1, -2, 1, 0, 2, -2, 1, -1, 1, 2, 0, 0, 0, -1, 0, -2, 0, -2, -1, 1, -1, -2, -1, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, -2, 0, -1, 0, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 1, 1, -1, 1, -3, 1, 2, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, -1, 0, -\
1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, 2, 3, 1, 7, 5, 3, 0, 2, 1, 0, -2, 0, 2, 0, -2, 4 ], [ 2, -4, -2, -4, -2\
, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1\
, -4, -4, -2, 2, 2, 0 ], [ 7, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 \
], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 2, 2, 6, 8, 6, 2, -6, 4,\
 -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2,\
 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, \
-2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, \
-4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -8, 4, 6, -4, 0, 0, 6, 2 ], [ -8, -20, 10, 8, -8, 0, 0, 12, 4 ]\
, [ 4, 10, -8, -2, 4, 0, 0, -6, -2 ], [ 6, 8, -2, -8, 6, 0, 0, -6, -2 ], [ -4, -8, 4, 6, -8, 2, 0, 6, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0\
, 2, -4, 2, 0 ], [ 6, 12, -6, -6, 6, 0, 2, -12, -2 ], [ 2, 4, -2, -2, 2, 0, 0, -2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1\
, 0, -1 ], [ -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1,\
 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], a\
djweyl := [ -3, -6, 3, 3, -1, -3, 1, 3, 3, 1, -1, 1, -1, -3, -2, -2, 1, -4, -3, -1, 2, 0, -2, -5, 0, -4 ], embQ := [ [ 1, 2, -1, -1, 1, 0, 0, -1, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, \
0, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 1, 0, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 4, -8, 4, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 2, 1, -3, \
2, -2, 1 ], [ 0, 2, -4, 2, 0, 0, 0, -2, 4, -2, 0, 0, 0, -2, 0, -2, 0, -1, 0, 0, -1, 0, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0,\
 0, 1, 2, 0, -2, -1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0,\
 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 2, -6, 6, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, -2, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1\
, 2, -1 ] ], r := [ 8, 6, 10, 15, 13, 10, 7, 4, 2, 1 ], rlifts := [ [ -1, -2, 1, 1, -1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1, 0, \
-1 ], [ -1, -2, 1, 1, -1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, \
1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, 0, \
0, -1, 0, 0, 0, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], \
[ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, \
-1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -6, -10, -15, -13, -10, -7, -4, -2, \
-1 ], [ -16, -11, -20, -30, -26, -20, -14, -8, -4, -2 ], [ 8, 6, 11, 15, 13, 10, 7, 4, 2, 1 ], [ 8, 6, 10, 16, 13, 10, 7, 4, 2, 1 ], [ -8, -6, -10, -15, -\
12, -10, -7, -4, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 8, 6, 10, 15, 13, 10, 7, 5, 2, 1 ], [ 8, 6, 10, 15, 13, 1\
0, 7, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -7, -16, 8, 8, -8, 0, 0, 8, 8, 0, 0, 0, 0, -8, 0, -4, 0, -8, -4, 0, 0, -8, 0, -8, 0,\
 -8 ], [ -6, -11, 6, 6, -6, 0, 0, 6, 6, 0, 0, 0, 0, -6, 0, -3, 0, -6, -3, 0, 0, -6, 0, -6, 0, -6 ], [ -10, -20, 11, 10, -10, 0, 0, 10, 10, 0, 0, 0, 0, -10\
, 0, -5, 0, -10, -5, 0, 0, -10, 0, -10, 0, -10 ], [ -15, -30, 15, 16, -15, 0, 0, 15, 15, 0, 0, 0, 0, -16, 1, -9, 0, -16, -9, 0, -1, -16, 0, -15, 0, -15 ],\
 [ -13, -26, 13, 13, -12, 0, 0, 13, 13, 0, 0, 0, 0, -14, 1, -8, 0, -14, -8, 0, -1, -14, 0, -13, 0, -13 ], [ -10, -20, 10, 10, -10, 1, 0, 10, 10, 0, 0, 0, \
0, -10, 0, -5, 0, -10, -5, 0, 0, -10, 0, -10, 0, -10 ], [ -7, -14, 7, 7, -7, 0, 1, 7, 7, 0, 0, 0, 0, -7, 0, -4, 0, -7, -4, 0, 0, -7, 0, -7, 0, -7 ], [ -4,\
 -8, 4, 4, -4, 0, 0, 5, 4, 0, 0, 0, 0, -5, 1, -3, 0, -5, -3, 0, -1, -5, 0, -4, 0, -4 ], [ -2, -4, 2, 2, -2, 0, 0, 2, 3, 0, 0, 0, 0, -3, 1, -2, 0, -3, -2, \
0, -1, -3, 0, -2, 0, -2 ], [ -1, -2, 1, 1, -1, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -2, -1, -1, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -216, -2, 18, -5, 31, 14, 9, 0, 9, 4, -4, -12, -10, 16, 2, -4, 10 ]\
, [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 18, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, \
-6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 31, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 14, -3, -5, -5, -4, -6, 2, -2, 2, -4\
, 0, -2, -2, -2, 2, 2, -2 ], [ 9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], \
[ 9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0\
, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -12, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -10, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0\
, 0, 0 ], [ 16, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, \
-2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -8, 4, 6, 4, -16, 8, 8, 2 ], [ \
-8, -20, 10, 8, 8, -32, 16, 16, 4 ], [ 4, 10, -8, -2, -4, 16, -8, -8, -2 ], [ 6, 8, -2, -8, -2, 16, -8, -8, -2 ], [ 4, 8, -4, -2, -8, 18, -8, -8, -2 ], [ \
-16, -32, 16, 16, 18, -68, 34, 32, 8 ], [ 8, 16, -8, -8, -8, 34, -20, -14, -4 ], [ 8, 16, -8, -8, -8, 32, -14, -20, -2 ], [ 2, 4, -2, -2, -2, 8, -4, -2, -\
4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 0, -3, -3, 0, -3 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -4, -3, 0, 1, 0, -3, -3, 0, -3 ], [ 0, -2, 0\
, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 3, 3, 3, -11, 5, 5, 1, 3, -1, 1, -1, -5, -2, -4, 1, -9, -8, -1\
, 4, 2, -8, -9, 0, -8 ], embQ := [ [ 1, 2, -1, -1, -1, 4, -2, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1\
, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, \
0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 8, -16, 0, 0, 0, -5, 0, 3, 0, 2, -2, 0, 5, 5, 6, -6, 9, -6 ], [ 0, 0, 0, 0, 0, 2, -4, \
2, -4, 8, 0, 0, 0, 1, 0, -2, 0, -1, 1, 0, -3, -3, -3, 3, -4, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, -2, 8, 0, 0, 0, 3, 0, -3, 0, -2, 1, 0, -3, -3, -3, 2, -3, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 14, 10, 18, 27, 23, 20, 13, 8, 5, 2 ], rlifts := [ [ -1, \
-2, 1, 1, 1, -4, 2, 2, 0, 1, 0, 0, 0, -2, 0, -1, 0, -4, -3, 0, 1, 0, -3, -3, 0, -3 ], [ -1, -2, 1, 1, 1, -4, 2, 2, 0, 1, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0,\
 1, 0, -3, -3, 0, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 3, 0, -1, 0, 3, 3, 0, 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 0, -3, -3, 0, -3 \
], [ 1, 0, 0, 0, 2, 0, 1, 0, 4, 3, 0, -1, 0, 3, 3, 0, 3 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -4, -3, 0, 1, 0, -3, -3, 0, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0\
, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2\
, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -\
2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1"\
, "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -13, -10, -18, -27, -23, -20, -13, -8, -5, -2 ], [ -28, -19, -36, -54, -46, -40, -26, -16, -10, -4 ], [ 14, \
10, 19, 27, 23, 20, 13, 8, 5, 2 ], [ 14, 10, 18, 28, 23, 20, 13, 8, 5, 2 ], [ 14, 10, 18, 27, 24, 20, 13, 8, 5, 2 ], [ -56, -40, -72, -108, -92, -79, -52,\
 -32, -20, -8 ], [ 28, 20, 36, 54, 46, 40, 27, 16, 10, 4 ], [ 28, 20, 36, 54, 46, 40, 26, 17, 10, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 14, 10, 18, 27,\
 23, 20, 13, 8, 5, 3 ] ], thegtilde := [ [ -13, -28, 14, 14, 14, -56, 28, 28, 0, 14, 0, 0, 0, -28, 0, -21, 0, -49, -42, 0, 14, 0, -42, -42, 0, -42 ], [ -1\
0, -19, 10, 10, 10, -40, 20, 20, 0, 10, 0, 0, 0, -20, 0, -15, 0, -35, -30, 0, 10, 0, -30, -30, 0, -30 ], [ -18, -36, 19, 18, 18, -72, 36, 36, 0, 18, 0, 0,\
 0, -36, 0, -27, 0, -63, -54, 0, 18, 0, -54, -54, 0, -54 ], [ -27, -54, 27, 28, 27, -108, 54, 54, 0, 27, 0, 0, 0, -55, 1, -41, 0, -95, -81, 0, 26, -1, -81\
, -81, 0, -81 ], [ -23, -46, 23, 23, 24, -92, 46, 46, 0, 23, 0, 0, 0, -47, 1, -35, 0, -81, -69, 0, 22, -1, -69, -69, 0, -69 ], [ -20, -40, 20, 20, 20, -79\
, 40, 40, 0, 20, 0, 0, 0, -40, 0, -30, 0, -70, -60, 0, 20, 0, -60, -60, 0, -60 ], [ -13, -26, 13, 13, 13, -52, 27, 26, 0, 13, 0, 0, 0, -26, 0, -19, 0, -46\
, -39, 0, 13, 0, -39, -39, 0, -39 ], [ -8, -16, 8, 8, 8, -32, 16, 17, 0, 8, 0, 0, 0, -17, 1, -12, 0, -29, -24, 0, 7, -1, -24, -24, 0, -24 ], [ -5, -10, 5,\
 5, 5, -20, 10, 10, 1, 5, 0, 0, 0, -11, 1, -8, 0, -18, -15, 0, 4, -1, -15, -15, 0, -15 ], [ -2, -4, 2, 2, 2, -8, 4, 4, 0, 3, 0, 0, 0, -4, 0, -3, 0, -7, -6\
, 0, 2, 0, -6, -6, 0, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 2, -1, 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -208, 4, 1\
8, 1, 36, 17, 9, -1, 5, 5, -6, -10, -8, 12, -2, -10, 14 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 18, -2, -12, -8, -10, -5, 6,\
 -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 36, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2,\
 -4, 4, 4, -2 ], [ 17, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -\
4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8, \
0, -2, -2, -2, 2, 2, 0 ], [ -6, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -10, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ],\
 [ -8, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 12, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -2, 2, 2, 2, 4, 2, -2, 0\
, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -10, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 14, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 \
] ], GramQperp := [ [ -24, -8, -12, -10, -10, -32, 2, 12, 4 ], [ -8, -8, -2, -4, -4, -12, 0, 6, 2 ], [ -12, -2, -12, -6, -6, -20, 2, 6, 2 ], [ -10, -4, -6\
, -12, -4, -20, 2, 6, 2 ], [ -10, -4, -6, -4, -8, -16, 2, 6, 2 ], [ -32, -12, -20, -20, -16, -52, 4, 18, 6 ], [ 2, 0, 2, 2, 2, 4, -4, 2, 0 ], [ 12, 6, 6, \
6, 6, 18, 2, -12, -2 ], [ 4, 2, 2, 2, 2, 6, 0, -2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -3, 0, -2, 0, -3, -2, 0, 0, -1, -2, -3, 1, -3 ], [ -1, 0, 0, 0, -3, 0\
, -2, 0, -3, -2, 0, 0, -1, -1, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, \
-1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 3, 3, 3,\
 -9, 1, 5, 5, 1, -1, 1, -1, -7, -2, -5, 1, -8, -6, -1, 2, 0, -5, -9, 2, -8 ], embQ := [ [ 1, 2, -1, -1, -1, 3, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2, 4, -8, 4, 0,\
 0, 0, 0, 0, 0, 0, -3, -5, 0, 3, 2, -7, -1, -4, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0 ], [ 0, 2, -4, 2, \
2, -4, 2, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -3, -4, 0, 2, 3, -4, -2, -3, 0 ], [ 2, 0, 2, -4, 4, -4, 2, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 1, 2, -4, \
0, 1, -2 ], [ 0, 0, 0, 2, -2, -2, 2, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 3, 2, -3, 0, -3, 0 ], [ 0, 0, 0, 0, 4, -8, 4, 6, -12, 6, 0, 0, 0, 1, 0, 1, \
0, -4, -7, 0, 5, 5, -10, -1, -4, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -6, 6,\
 -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, -2, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [\
 14, 10, 18, 27, 23, 20, 14, 8, 4, 2 ], rlifts := [ [ -1, -2, 1, 1, 1, -3, 0, 2, 2, 0, 0, 0, 0, -3, 0, -2, 0, -3, -2, 0, 0, -1, -2, -3, 1, -3 ], [ -1, -2,\
 1, 1, 1, -3, 0, 2, 2, 0, 0, 0, 0, -3, 0, -2, 0, -3, -2, 0, 0, -1, -1, -3, 1, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 3, 0, 2, 0, 3, 2, 0, 0, 1, 2, 3, -1, 3 ], \
[ -1, 0, 0, 0, -3, 0, -2, 0, -3, -2, 0, 0, -1, -2, -3, 1, -3 ], [ 1, 0, 0, 0, 3, 0, 2, 0, 3, 2, 0, 0, 1, 1, 3, -1, 3 ], [ -1, 0, 0, 0, -3, 0, -2, 0, -3, -\
2, 0, 0, -1, -1, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0\
, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2,\
 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1\
, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -13, -10, -18, -27, -23, -20, -14, -8, -4, -2 \
], [ -28, -19, -36, -54, -46, -40, -28, -16, -8, -4 ], [ 14, 10, 19, 27, 23, 20, 14, 8, 4, 2 ], [ 14, 10, 18, 28, 23, 20, 14, 8, 4, 2 ], [ 14, 10, 18, 27,\
 24, 20, 14, 8, 4, 2 ], [ -42, -30, -54, -81, -69, -59, -42, -24, -12, -6 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 28, 20, 36, 54, 46, 40, 28, 17, 8, 4 ], [\
 28, 20, 36, 54, 46, 40, 28, 16, 9, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -13, -28, 14, 14, 14, -42, 0, 28, 28, 0, 0, 0, 0, -42, 0, -2\
8, 0, -42, -28, 0, 0, -14, -21, -42, 14, -42 ], [ -10, -19, 10, 10, 10, -30, 0, 20, 20, 0, 0, 0, 0, -30, 0, -20, 0, -30, -20, 0, 0, -10, -16, -30, 10, -30\
 ], [ -18, -36, 19, 18, 18, -54, 0, 36, 36, 0, 0, 0, 0, -54, 0, -36, 0, -54, -36, 0, 0, -18, -28, -54, 18, -54 ], [ -27, -54, 27, 28, 27, -81, 0, 54, 54, \
0, 0, 0, 0, -82, 1, -54, 0, -82, -54, 0, -1, -28, -42, -81, 27, -81 ], [ -23, -46, 23, 23, 24, -69, 0, 46, 46, 0, 0, 0, 0, -70, 1, -46, 0, -70, -46, 0, -1\
, -24, -36, -69, 23, -69 ], [ -20, -40, 20, 20, 20, -59, 0, 40, 40, 0, 0, 0, 0, -60, 0, -40, 0, -60, -40, 0, 0, -20, -30, -60, 20, -60 ], [ -14, -28, 14, \
14, 14, -42, 1, 28, 28, 0, 0, 0, 0, -42, 0, -28, 0, -42, -28, 0, 0, -14, -22, -42, 14, -42 ], [ -8, -16, 8, 8, 8, -24, 0, 17, 16, 0, 0, 0, 0, -25, 1, -16,\
 0, -25, -16, 0, -1, -9, -14, -24, 8, -24 ], [ -4, -8, 4, 4, 4, -12, 0, 8, 9, 0, 0, 0, 0, -13, 1, -8, 0, -13, -8, 0, -1, -5, -6, -12, 4, -12 ], [ -2, -4, \
2, 2, 2, -6, 0, 4, 4, 1, 0, 0, 0, -6, 0, -4, 0, -6, -4, 0, 0, -2, -3, -6, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0\
, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1,\
 -1, 1, -1, 1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -172, 1, -1, -10, 7, 12, 22, -6, 19, -9, 2, -6, -4, 6, 6, 0, 10 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, \
-2, 0, -2, -2, 0, 2, 2, -2 ], [ -1, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -10, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2,\
 2, 2, 0 ], [ 7, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 12, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 22, 2, \
6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -6, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 19, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0\
, 2, 2, 2, -2, -2, 0 ], [ -9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ \
-6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, \
-2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ],\
 [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, -2, -4, -2, -8, 2, 0 ], [ 0, -8, 6, 4, 4, -4, 4, 0, 6 ], [ -4, \
6, -12, -6, -8, 2, -12, 2, -6 ], [ -2, 4, -6, -12, -6, 2, -12, 2, -6 ], [ -4, 4, -8, -6, -12, 4, -12, 2, -6 ], [ -2, -4, 2, 2, 4, -8, 0, 2, 6 ], [ -8, 4, \
-12, -12, -12, 0, -20, 4, -6 ], [ 2, 0, 2, 2, 2, 2, 4, -4, 2 ], [ 0, 6, -6, -6, -6, 6, -6, 2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -3, 1, -3, -2, 0, \
-1, -2, -2, -3, 0, -3 ], [ -1, 0, 0, 0, -2, 0, -3, -1, -4, -1, 0, -1, -2, -2, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, \
0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1\
, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 3, 3, 3, -9, 3, 1, 5, 5, -1, 1, -1, -5, -2, -7, 1, -9, -5, -1, 0, -2, -6, -8, 1, -7 ], embQ := [ [ 1, 2, -1, -1, -1\
, 3, -1, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], em\
bQperp := [ [ -4, 0, 0, 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, -1, -2, 0, 0, -1, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, \
0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 2, -4, 2, -2, 4, 0, 0, 0, -1, 0, -2, 0, -1, 0, 0, -2, -1, -1, 1, -4, 3 ], [ 2, 0, 2, -4, 2, 2, -4, 2, \
-2, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, -3, -2, -1, 3, 0, 1 ], [ 0, 0, 0, 2, -4, 4, -4, 2, -2, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, -1, -2, 0, 3, -4, 3 ], [ 0, 0\
, 0, 0, 2, -2, -2, 2, 2, -4, 0, 0, 0, -3, 0, 0, 0, 0, -1, 0, 1, 1, 1, -2, 3, -2 ], [ 0, 0, 0, 0, 0, 4, -8, 4, -2, 4, 0, 0, 0, -1, 0, -1, 0, 1, 2, 0, -3, -\
3, 0, 3, -2, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0,\
 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 14, 10, 18, 27, 23, 20, 14, 9, 4, 1 ], rlifts := [ [ -1, -2, 1, 1, 1, -3, 1, 0, 2, 2, 0, 0, 0, -2, 0, -3, 1,\
 -3, -2, 0, -1, -2, -2, -3, 0, -3 ], [ -1, -2, 1, 1, 1, -3, 1, 0, 2, 2, 0, 0, 0, -2, 0, -3, -1, -4, -1, 0, -1, -2, -2, -2, 1, -2 ] ], rootsQ := [ [ 1, 0, \
0, 0, 2, 0, 3, -1, 3, 2, 0, 1, 2, 2, 3, 0, 3 ], [ -1, 0, 0, 0, -2, 0, -3, 1, -3, -2, 0, -1, -2, -2, -3, 0, -3 ], [ 1, 0, 0, 0, 2, 0, 3, 1, 4, 1, 0, 1, 2, \
2, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -3, -1, -4, -1, 0, -1, -2, -2, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -\
1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1\
, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, \
0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg :=\
 [ [ -13, -10, -18, -27, -23, -20, -14, -9, -4, -1 ], [ -28, -19, -36, -54, -46, -40, -28, -18, -8, -2 ], [ 14, 10, 19, 27, 23, 20, 14, 9, 4, 1 ], [ 14, 1\
0, 18, 28, 23, 20, 14, 9, 4, 1 ], [ 14, 10, 18, 27, 24, 20, 14, 9, 4, 1 ], [ -42, -30, -54, -81, -69, -59, -42, -27, -12, -3 ], [ 14, 10, 18, 27, 23, 20, \
15, 9, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 28, 20, 36, 54, 46, 40, 28, 18, 9, 2 ], [ 28, 20, 36, 54, 46, 40, 28, 18, 8, 3 ] ], thegtilde := [ [ -1\
3, -28, 14, 14, 14, -42, 14, 0, 28, 28, 0, 0, 0, -28, 0, -42, 0, -49, -21, 0, -14, -28, -28, -35, 7, -35 ], [ -10, -19, 10, 10, 10, -30, 10, 0, 20, 20, 0,\
 0, 0, -20, 0, -30, 0, -35, -15, 0, -10, -20, -20, -25, 5, -25 ], [ -18, -36, 19, 18, 18, -54, 18, 0, 36, 36, 0, 0, 0, -36, 0, -54, 0, -63, -27, 0, -18, -\
36, -36, -45, 9, -45 ], [ -27, -54, 27, 28, 27, -81, 27, 0, 54, 54, 0, 0, 0, -55, 1, -81, 1, -95, -41, 0, -28, -55, -54, -68, 13, -68 ], [ -23, -46, 23, 2\
3, 24, -69, 23, 0, 46, 46, 0, 0, 0, -47, 1, -69, 1, -81, -35, 0, -24, -47, -46, -58, 11, -58 ], [ -20, -40, 20, 20, 20, -59, 20, 0, 40, 40, 0, 0, 0, -40, \
0, -60, 0, -70, -30, 0, -20, -40, -40, -50, 10, -50 ], [ -14, -28, 14, 14, 14, -42, 15, 0, 28, 28, 0, 0, 0, -28, 0, -42, 0, -49, -21, 0, -14, -28, -28, -3\
5, 7, -35 ], [ -9, -18, 9, 9, 9, -27, 9, 1, 18, 18, 0, 0, 0, -19, 1, -27, 1, -32, -14, 0, -10, -19, -18, -23, 4, -23 ], [ -4, -8, 4, 4, 4, -12, 4, 0, 9, 8\
, 0, 0, 0, -9, 1, -12, 0, -15, -6, 0, -5, -9, -8, -10, 2, -10 ], [ -1, -2, 1, 1, 1, -3, 1, 0, 2, 3, 0, 0, 0, -2, 0, -3, -1, -4, -1, 0, -1, -2, -2, -2, 1, \
-2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 1, 0, 0, 0, \
0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 3, 0, 0, -1, 1, 1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
2, 0, 2, -1, -1, 0, -2, -2, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -84, 0, 10, -3, 20, 9, \
5, -1, 5, 3, -4, -8, -6, 8, 0, -6, 8 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 10, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, \
0, -4, 2, 2, 0 ], [ -3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 20, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [\
 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -\
4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2\
, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2,\
 -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, \
-4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -1\
6, -6, -6, -4, -4, -18, 4, 0, 0 ], [ -6, -8, 0, -2, -2, -8, 2, 0, 0 ], [ -6, 0, -8, -2, -2, -10, 2, 0, 0 ], [ -4, -2, -2, -8, 0, -10, 2, 0, 0 ], [ -4, -2,\
 -2, 0, -4, -6, 2, 0, 0 ], [ -18, -8, -10, -10, -6, -28, 6, 0, 0 ], [ 4, 2, 2, 2, 2, 6, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1, -2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 0, -1, -2, 1, -2 ], [ 0, \
-2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2,\
 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 3, 3, 3, -9, 5, 1, 1, 1, -1, 1, -1, -3, -2, -3, 1, -6, -6\
, -1, 4, 2, -5, -7, 2, -6 ], embQ := [ [ 1, 2, -1, -1, -1, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, 0, -6, 4, 0, 0, 0, 0, 0, -4, 0, -2, 0, -1, -1, 0, -1, -2, -1, -1, 0, \
1 ], [ 0, -4, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -2, 2, 1, 2, 0 ], [ 0, 2, -4, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, -3, 0, -2, 0, -2, \
-2, 0, 0, 1, -1, -2, -1, 0 ], [ 2, 0, 2, -4, 4, -2, -2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 3, -2 ], [ 0, 0, 0, 2, -2, 0, -2, 2, 0, 0, 0\
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2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 8, 6, 10, 15, 13, 12, 8, 6, 4, 2 ], rlifts := [ [ -\
1, -2, 1, 1, 1, -3, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1, -2 ], [ -1, -2, 1, 1, 1, -3, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2,\
 0, 1, 0, -1, -2, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, -1, 0, 2, 2, -1, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1,\
 -2 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, -1, 0, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 0, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0,\
 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0,\
 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, \
-2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [\
 "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -6, -10, -15, -13, -12, -8, -6, -4, -2 ], [ -16, -11, -20, -30, -26, -24, -16, -12, -8, -4 ], [ 8, \
6, 11, 15, 13, 12, 8, 6, 4, 2 ], [ 8, 6, 10, 16, 13, 12, 8, 6, 4, 2 ], [ 8, 6, 10, 15, 14, 12, 8, 6, 4, 2 ], [ -24, -18, -30, -45, -39, -35, -24, -18, -12\
, -6 ], [ 16, 12, 20, 30, 26, 24, 17, 12, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], \
thegtilde := [ [ -7, -16, 8, 8, 8, -24, 16, 0, 0, 0, 0, 0, 0, -8, 0, -8, 0, -16, -16, 0, 8, 0, -12, -16, 8, -16 ], [ -6, -11, 6, 6, 6, -18, 12, 0, 0, 0, 0\
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20, 10, -20 ], [ -15, -30, 15, 16, 15, -45, 30, 0, 0, 0, 0, 0, 0, -16, 1, -15, 0, -31, -30, 0, 14, -1, -24, -30, 15, -30 ], [ -13, -26, 13, 13, 14, -39, 2\
6, 0, 0, 0, 0, 0, 0, -14, 1, -13, 0, -27, -26, 0, 12, -1, -21, -26, 13, -26 ], [ -12, -24, 12, 12, 12, -35, 24, 0, 0, 0, 0, 0, 0, -12, 0, -12, 0, -24, -24\
, 0, 12, 0, -18, -24, 12, -24 ], [ -8, -16, 8, 8, 8, -24, 17, 0, 0, 0, 0, 0, 0, -8, 0, -8, 0, -16, -16, 0, 8, 0, -13, -16, 8, -16 ], [ -6, -12, 6, 6, 6, -\
18, 12, 1, 0, 0, 0, 0, 0, -7, 1, -6, 0, -13, -12, 0, 5, -1, -11, -12, 6, -12 ], [ -4, -8, 4, 4, 4, -12, 8, 0, 1, 0, 0, 0, 0, -5, 1, -4, 0, -9, -8, 0, 3, -\
1, -6, -8, 4, -8 ], [ -2, -4, 2, 2, 2, -6, 4, 0, 0, 1, 0, 0, 0, -2, 0, -2, 0, -4, -4, 0, 2, 0, -3, -4, 2, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, \
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -100, 6, 10, 3, 25, 12, 5, -2, 1, 4, -6, -6, -4, 4, -4, -12, 12 ], [ 6, -\
4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 10, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6,\
 -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 25, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 12, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -\
2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6\
, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -6, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, \
-2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [\
 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -12, 2, 2, 2, 4, 2, -2, 0, -2,\
 2, -2, 0, 0, 0, -2, -4, 2 ], [ 12, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -8, 4, 6, 4, -8, 0, 0, 6 ], [ -8, -20, 10\
, 8, 8, -16, 0, 0, 12 ], [ 4, 10, -8, -2, -4, 8, 0, 0, -6 ], [ 6, 8, -2, -8, -2, 8, 0, 0, -6 ], [ 4, 8, -4, -2, -8, 10, 0, 0, -6 ], [ -8, -16, 8, 8, 10, -\
20, 2, 0, 12 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 6, 12, -6, -6, -6, 12, 0, 2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -\
2, 0, -1, -1, 0, 0, -1, 0, -2, 2, -2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -1, 0, 0, -1, 0, -2, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0\
, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1\
, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 3, 3, 3, -7, 1, 1, 5, -1, -1, 1, -1, -5, -2, -4, 1, -5, -4, -1, 2, 0, -2, -7, 4, -6 ], embQ := [ [ 1, 2\
, -1, -1, -1, 2, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
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0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0,\
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 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0\
, 2, 0, -2, 0, -2, 0, 0, -2, -3, -3, 2, -2, 1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, \
0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 3, 0, 0, 0 ], [ 0\
, 0, 0, 0, 2, -4, 2, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -4, -2, 0, -1, -1, -6, 0, -3, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1\
, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, -6, 0, 0, 0, -1, 0,\
 3, 0, 2, -1, 0, 3, 3, 2, -1, 2, -1 ] ], r := [ 8, 6, 10, 15, 13, 12, 9, 6, 3, 2 ], rlifts := [ [ -1, -2, 1, 1, 1, -2, 0, 0, 2, -1, 0, 0, 0, -2, 0, -1, 0,\
 -2, -1, 0, 0, -1, 0, -2, 2, -2 ], [ -1, -2, 1, 1, 1, -2, 0, 0, 2, -1, 0, 0, 0, -2, 0, -2, 0, -1, -1, 0, 0, -1, 0, -2, 2, -2 ] ], rootsQ := [ [ 1, 0, 0, 0\
, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, -2, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -1, -1, 0, 0, -1, 0, -2, 2, -2 ], [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, \
-2, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -1, 0, 0, -1, 0, -2, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, \
0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ]\
, [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, \
0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, \
-6, -10, -15, -13, -12, -9, -6, -3, -2 ], [ -16, -11, -20, -30, -26, -24, -18, -12, -6, -4 ], [ 8, 6, 11, 15, 13, 12, 9, 6, 3, 2 ], [ 8, 6, 10, 16, 13, 12\
, 9, 6, 3, 2 ], [ 8, 6, 10, 15, 14, 12, 9, 6, 3, 2 ], [ -16, -12, -20, -30, -26, -23, -18, -12, -6, -4 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0 ], [ 16, 12, 20, 30, 26, 24, 18, 12, 7, 4 ], [ -8, -6, -10, -15, -13, -12, -9, -6, -3, -1 ] ], thegtilde := [ [ -7, -16, 8, 8, 8, -16, 0,\
 0, 16, -8, 0, 0, 0, -16, 0, -12, 0, -12, -8, 0, 0, -8, 0, -16, 16, -16 ], [ -6, -11, 6, 6, 6, -12, 0, 0, 12, -6, 0, 0, 0, -12, 0, -9, 0, -9, -6, 0, 0, -6\
, 0, -12, 12, -12 ], [ -10, -20, 11, 10, 10, -20, 0, 0, 20, -10, 0, 0, 0, -20, 0, -15, 0, -15, -10, 0, 0, -10, 0, -20, 20, -20 ], [ -15, -30, 15, 16, 15, \
-30, 0, 0, 30, -15, 0, 0, 0, -31, 1, -23, 0, -23, -15, 0, -1, -16, 0, -30, 30, -30 ], [ -13, -26, 13, 13, 14, -26, 0, 0, 26, -13, 0, 0, 0, -27, 1, -20, 0,\
 -20, -13, 0, -1, -14, 0, -26, 26, -26 ], [ -12, -24, 12, 12, 12, -23, 0, 0, 24, -12, 0, 0, 0, -24, 0, -18, 0, -18, -12, 0, 0, -12, 0, -24, 24, -24 ], [ -\
9, -18, 9, 9, 9, -18, 1, 0, 18, -9, 0, 0, 0, -18, 0, -13, 0, -14, -9, 0, 0, -9, 0, -18, 18, -18 ], [ -6, -12, 6, 6, 6, -12, 0, 1, 12, -6, 0, 0, 0, -13, 1,\
 -9, 0, -10, -6, 0, -1, -7, 0, -12, 12, -12 ], [ -3, -6, 3, 3, 3, -6, 0, 0, 7, -3, 0, 0, 0, -7, 1, -5, 0, -5, -3, 0, -1, -4, 0, -6, 6, -6 ], [ -2, -4, 2, \
2, 2, -4, 0, 0, 4, -1, 0, 0, 0, -4, 0, -3, 0, -3, -2, 0, 0, -2, 0, -4, 4, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, \
1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -56, 0, 7, -1, 11, 9, 7, 0, 6, 1, 0, -4, -2, 8, 2, 0, 4 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, \
2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 11, -2\
, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 7, 2, 6, 6, 4, 2, -8, 4, -6\
, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 6, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ],\
 [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2\
, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, \
0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, \
0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -2, -2, 0, -2, -2, 0, 0, -6 ], [ -2, -8, 4, 2, 2, -4, 0, 2, 0 ], [ -2, 4, -8, -2, -4, 2, 0, -2,\
 -6 ], [ 0, 2, -2, -8, -2, 2, 0, -2, -6 ], [ -2, 2, -4, -2, -8, 4, 0, -2, -6 ], [ -2, -4, 2, 2, 4, -8, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 2, \
-2, -2, -2, 2, 2, -4, -2 ], [ -6, 0, -6, -6, -6, 0, 0, -2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, -1, -2, -1, 0, -1 ], [ -1, 0, 0,\
 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1\
, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6,\
 3, 3, 3, -7, 1, 3, -1, 5, -1, 1, -1, -3, -2, -4, 1, -6, -5, -1, 2, 0, -6, -5, 0, -4 ], embQ := [ [ 1, 2, -1, -1, -1, 2, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 2, \
-2, -2, 0, 0, 0, -1, 0, 1, 0, 0, -2, 0, 2, 1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0,\
 2, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 1, 2, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 2, -4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, \
-2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 2, -4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, \
0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2\
, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 1, 0, 3, 0, 1, -2, 0, 3, 3, -2, 1, -2, 1 ] ], r := [ 8, 6,\
 10, 15, 13, 12, 9, 6, 4, 1 ], rlifts := [ [ -1, -2, 1, 1, 1, -2, 0, 1, -1, 2, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, -1, -2, -1, 0, -1 ], [ -1, -2, 1, 1, 1\
, -2, 0, 1, -1, 2, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1 ], [ -1, 0,\
 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, -1, -2, -1, 0, -1 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, \
-1, -2, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, \
1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0,\
 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -\
1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -6, -10, -15, -13, -12, -9, -6, -4, -1 ], [ -16, -1\
1, -20, -30, -26, -24, -18, -12, -8, -2 ], [ 8, 6, 11, 15, 13, 12, 9, 6, 4, 1 ], [ 8, 6, 10, 16, 13, 12, 9, 6, 4, 1 ], [ 8, 6, 10, 15, 14, 12, 9, 6, 4, 1 \
], [ -16, -12, -20, -30, -26, -23, -18, -12, -8, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 8, 6, 10, 15, 13, 12, 9, 7, 4, 1 ], [ -8, -6, -10, -15, -13, -1\
2, -9, -6, -3, -1 ], [ 16, 12, 20, 30, 26, 24, 18, 12, 8, 3 ] ], thegtilde := [ [ -7, -16, 8, 8, 8, -16, 0, 8, -8, 16, 0, 0, 0, -8, 0, -12, 0, -16, -12, 0\
, 0, -8, -16, -8, 0, -8 ], [ -6, -11, 6, 6, 6, -12, 0, 6, -6, 12, 0, 0, 0, -6, 0, -9, 0, -12, -9, 0, 0, -6, -12, -6, 0, -6 ], [ -10, -20, 11, 10, 10, -20,\
 0, 10, -10, 20, 0, 0, 0, -10, 0, -15, 0, -20, -15, 0, 0, -10, -20, -10, 0, -10 ], [ -15, -30, 15, 16, 15, -30, 0, 15, -15, 30, 0, 0, 0, -16, 1, -24, 0, -\
31, -24, 0, -1, -16, -30, -15, 0, -15 ], [ -13, -26, 13, 13, 14, -26, 0, 13, -13, 26, 0, 0, 0, -14, 1, -21, 0, -27, -21, 0, -1, -14, -26, -13, 0, -13 ], [\
 -12, -24, 12, 12, 12, -23, 0, 12, -12, 24, 0, 0, 0, -12, 0, -18, 0, -24, -18, 0, 0, -12, -24, -12, 0, -12 ], [ -9, -18, 9, 9, 9, -18, 1, 9, -9, 18, 0, 0,\
 0, -9, 0, -14, 0, -18, -14, 0, 0, -9, -18, -9, 0, -9 ], [ -6, -12, 6, 6, 6, -12, 0, 7, -6, 12, 0, 0, 0, -7, 1, -10, 0, -13, -10, 0, -1, -7, -12, -6, 0, -\
6 ], [ -4, -8, 4, 4, 4, -8, 0, 4, -3, 8, 0, 0, 0, -5, 1, -7, 0, -9, -7, 0, -1, -5, -8, -4, 0, -4 ], [ -1, -2, 1, 1, 1, -2, 0, 1, -1, 3, 0, 0, 0, -1, 0, -2\
, 0, -2, -2, 0, 0, -1, -2, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 2, -2, -1, -1, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ\
 := [ [ -12, 5, 2, 6, 3, 5, -4, 2, -4, 4, 0, 2, 4, 0, -3, -5, 4 ], [ 5, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 2, -2, -12, -8, -10,\
 -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 3, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4,\
 2, 2, -4, 4, 4, -2 ], [ 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -4, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, \
-1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -4, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -2, -8, -8, -6, -4, 6, -4, 6\
, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0\
 ], [ 4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -3, 2, 2, 2, 4, 2, -2, \
0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ]\
 ], GramQperp := [ [ -20, -2, 6, 0, 0, 0, 0, 0, 0 ], [ -2, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 6, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0,\
 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ]\
 ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0,\
 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -6, 5, 1, 1, -3, 1, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 2, 0, -2, -3,\
 2, -3 ], embQ := [ [ 1, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -8, 2, -4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -3, 0, -3, -3, 0, 0, -1, -2, -3, -4, 3 ], [ 0, -2, -2, 2, 0\
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, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, 3, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ -1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, \
-1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, \
1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, \
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, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -3, -3, -4, -7\
, -6, -5, -4, -3, -2, -1 ], [ -8, -5, -8, -14, -12, -10, -8, -6, -4, -2 ], [ 8, 6, 9, 14, 12, 10, 8, 6, 4, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
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1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -3, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, -3 ], [ -3, -5,\
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, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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5, -5, 11, -5, -1, -6, -5, 2, 4, 0, 4 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 1, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2,\
 0, -4, 2, 2, 0 ], [ -6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 9, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [\
 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 15, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -1, -4, -5, -2, -2, 4, \
-4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 11, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2\
, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -5, -2, 0, -4,\
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0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ \
-12, -8, -8, 6, 2, -12, 2, 2, 2 ], [ -8, -12, -6, 4, 2, -12, 2, 2, 2 ], [ -8, -6, -12, 6, 2, -12, 2, 2, 2 ], [ 6, 4, 6, -8, 2, 4, 0, -2, -2 ], [ 2, 2, 2, \
2, -4, 4, 0, 0, 0 ], [ -12, -12, -12, 4, 4, -20, 4, 2, 2 ], [ 2, 2, 2, 0, 0, 4, -4, 2, 0 ], [ 2, 2, 2, -2, 0, 2, 2, -4, 0 ], [ 2, 2, 2, -2, 0, 2, 0, 0, -4\
 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0, -1, 0, -2, 0, -1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, 0, -2, 0, -1 ], [ 0, -2, 0\
, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, -1, 5, 1, -5, 1, 1, 5, 1, -1, 1, -1, -5, -2, -5, 1, -6, -4, -1\
, 1, 0, -2, -7, 0, -4 ], embQ := [ [ 1, 1, 1, -2, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -3, -4, 0, 2, 1, -5, -2, -2, 0 ], [\
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0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 4, -8, 4, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -4, -5, 0, 3, 3, -6, -3, 0, -3 ], [ 0, 0, 0, 0, 0, 2\
, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 8, 6, 11, 15, 13, 11, 8, 5, 2, 1 ], rlifts := [ [ -1, -1, -\
1, 2, 0, -1, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, 0, -2, 0, -1 ], [ -1, -1, -1, 2, 0, -1, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0\
, -1, 0, -2, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, 0, -1, 0, -2, 0, -1 ], \
[ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, 0, -2, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -\
1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0\
, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "\
A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -6, -11, -15, -13, -11, -8, -5, -2, -1 ], [ -8, -5, -11, -15, -13, -11, -8, -5, -2, -1 ], [ -8, -6, -10, -1\
5, -13, -11, -8, -5, -2, -1 ], [ 16, 12, 22, 31, 26, 22, 16, 10, 4, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -6, -11, -15, -13, -10, -8, -5, -2, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 16, 12, 22, 30, 26, 22, 16, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtil\
de := [ [ -7, -8, -8, 16, 0, -8, 0, 0, 16, 0, 0, 0, 0, -16, 0, -16, 0, -16, -8, 0, -4, -8, 0, -16, 0, -8 ], [ -6, -5, -6, 12, 0, -6, 0, 0, 12, 0, 0, 0, 0,\
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, 0, 0, 0, -27, 1, -26, 0, -27, -13, 0, -8, -14, 0, -26, 0, -13 ], [ -11, -11, -11, 22, 0, -10, 0, 0, 22, 0, 0, 0, 0, -22, 0, -22, 0, -22, -11, 0, -7, -11\
, 0, -22, 0, -11 ], [ -8, -8, -8, 16, 0, -8, 1, 0, 16, 0, 0, 0, 0, -16, 0, -16, 0, -16, -8, 0, -4, -8, 0, -16, 0, -8 ], [ -5, -5, -5, 10, 0, -5, 0, 1, 10,\
 0, 0, 0, 0, -11, 1, -10, 0, -11, -5, 0, -3, -6, 0, -10, 0, -5 ], [ -2, -2, -2, 4, 0, -2, 0, 0, 5, 0, 0, 0, 0, -5, 1, -4, 0, -5, -2, 0, -2, -3, 0, -4, 0, \
-2 ], [ -1, -1, -1, 2, 0, -1, 0, 0, 2, 1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, 0, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -18, 4, 7, 6, 11, 6, -1, 1, -3, 5, -2, 0, 0, 1, -2, -6, 4 ], [ 4, -4, -2, -4, -2, -3\
, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4\
, -4, -2, 2, 2, 0 ], [ 11, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 6, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], \
[ -1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -3, 2, 6, 8, 6, 2, -6, 4, \
-8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2,\
 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 1, 0, -4, -2, -4, -\
2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, \
-4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 2, 4, 0, 0, 0, 2 ], [ -4, -8, 2, 0, 4, 0, 0, 0, 2 ], [ 0\
, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 4, 0, 2, -8, 2, 0, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0\
 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 2, 0, 0, -2, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, -1, -1, 0, -1, 1, -1 ], [ -1, 0\
, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 1, -1, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1\
, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4,\
 1, 1, 3, -3, 1, 1, 3, -1, -1, 1, -1, -3, -2, -2, 1, -3, -3, -1, 1, 1, -1, -5, 2, -3 ], embQ := [ [ 1, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2,\
 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0, 0 ], [ 0,\
 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0,\
 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0\
, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0,\
 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 4, 3, \
5, 7, 5, 4, 3, 2, 1, 1 ], rlifts := [ [ -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, -1, -1, 0, -1, 1, -1 ], [ -1, -1, 0, 0, 1, 0, \
0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 1, -1, 1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 1, -1, 1 ], [ -1, 0, 0, 0, \
-1, 1, -1, -1, -1, -1, 1, -1, -1, 0, -1, 1, -1 ], [ 1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0 ], [ -1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 1\
, -1, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -\
1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0\
, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -3, -3, -5, -7, -5, -4, -3, -2, -1, -1 ], [ -4, -2, -5, -7, -5\
, -4, -3, -2, -1, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 7, 6, 4, 3, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 4, 3, 5, 7, 5, 4, 3, 2, 2, 1 ], [ -4, -3, -5, -7, -5, -4, -3, -2, -1, 0 ] ], t\
hegtilde := [ [ -3, -4, 0, 0, 4, 0, 0, 0, 4, -4, 0, 0, 0, -4, 0, -2, 0, -2, -2, 0, -2, -2, 2, -4, 4, -2 ], [ -3, -2, 0, 0, 3, 0, 0, 0, 3, -3, 0, 0, 0, -3,\
 1, -2, -1, -2, -2, 1, -2, -2, 1, -3, 3, -2 ], [ -5, -5, 1, 0, 5, 0, 0, 0, 5, -5, 0, 0, 0, -5, 1, -3, -1, -3, -3, 1, -3, -3, 2, -5, 5, -3 ], [ -7, -7, 0, \
1, 7, 0, 0, 0, 7, -7, 0, 0, 0, -8, 2, -4, -1, -5, -4, 1, -5, -5, 3, -7, 7, -4 ], [ -5, -5, 0, 0, 6, 0, 0, 0, 5, -5, 0, 0, 0, -6, 2, -3, -1, -4, -3, 1, -4,\
 -4, 2, -5, 5, -3 ], [ -4, -4, 0, 0, 4, 1, 0, 0, 4, -4, 0, 0, 0, -4, 0, -2, 0, -2, -2, 0, -2, -2, 2, -4, 4, -2 ], [ -3, -3, 0, 0, 3, 0, 1, 0, 3, -3, 0, 0,\
 0, -3, 1, -2, -1, -2, -2, 1, -2, -2, 1, -3, 3, -2 ], [ -2, -2, 0, 0, 2, 0, 0, 1, 2, -2, 0, 0, 0, -3, 3, -2, -2, -3, -2, 2, -3, -3, 0, -2, 2, -2 ], [ -1, \
-1, 0, 0, 1, 0, 0, 0, 2, -1, 0, 0, 0, -2, 0, 0, 1, -1, 0, -1, -1, -1, 1, -1, 1, 0 ], [ -1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0,\
 0, 1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -2,\
 -3, -2, 0, 2, -1, -3, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 4, -1, -2, -3, -1, 2, -3, -3, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, -1, -1, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 2, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -1, \
0, 2, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 2, -1, -2, -1, -1, 2, -1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), r\
ec( GramQ := [ [ -62, -1, 13, 1, 16, 9, 3, 2, 3, 5, -1, -4, -4, 10, 2, -1, 3 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 13, -2\
, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 16, -2, -10, -6, -16, -4, \
4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2,\
 -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6\
, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4\
, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2,\
 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 3, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0,\
 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 2, 8, -8, 4, 4, -2 ], [ -4, -8, 2, 0, 8, -8, 4, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2\
, 0, 0, 0, 0 ], [ 8, 8, 0, 2, -20, 18, -8, -8, 4 ], [ -8, -8, 0, 0, 18, -20, 10, 8, -4 ], [ 4, 4, 0, 0, -8, 10, -8, -2, 2 ], [ 4, 4, 0, 0, -8, 8, -2, -8, \
4 ], [ -2, -2, 0, 0, 4, -4, 2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 0, 0, -2, -2, 0, -1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0\
, 0, 0, -2, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0,\
 -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 1, 1, 5, -7, 3, 3, -1, 3, -\
1, 1, -1, -3, -2, -3, 1, -6, -6, -1, 2, 2, -6, -6, 0, -4 ], embQ := [ [ 1, 1, 0, 0, -2, 2, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, \
0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4\
, 2, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5\
, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1\
, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 7, 5, 9, 13, 10, 9, 6, 4, 3,\
 1 ], rlifts := [ [ -1, -1, 0, 0, 2, -2, 1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 0, 0, -2, -1, 0, -1 ], [ -1, -1, 0, 0, 2, -2, 1, 1, -1, 1, 0, 0, 0\
, -1, 0, -1, 0, -2, -2, 0, 0, 0, -2, -2, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2\
, 0, 0, 0, -2, -2, 0, -1 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 0, 0, -2, -1, 0, -1 ], [ 0, -2,\
 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1,\
 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1,\
 -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ]\
 ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -6, -5, -9, -13, -10, -9, -6, -4, -3, -1 ], [ -7, -4, -9, -13, -10, -9, -6, -4, -3, \
-1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 14, 10, 18, 26, 21, 18, 12, 8, 6, 2 ], [ -14, -10, -18, -26, -20, -17, -12, -8\
, -6, -2 ], [ 7, 5, 9, 13, 10, 9, 7, 4, 3, 1 ], [ 7, 5, 9, 13, 10, 9, 6, 5, 3, 1 ], [ -7, -5, -9, -13, -10, -9, -6, -4, -2, -1 ], [ 7, 5, 9, 13, 10, 9, 6,\
 4, 3, 2 ] ], thegtilde := [ [ -6, -7, 0, 0, 14, -14, 7, 7, -7, 7, 0, 0, 0, -7, 0, -7, 0, -14, -14, 0, 0, 0, -14, -10, 0, -7 ], [ -5, -4, 0, 0, 10, -10, 5\
, 5, -5, 5, 0, 0, 0, -5, 0, -5, 0, -10, -10, 0, 0, 0, -10, -8, 0, -5 ], [ -9, -9, 1, 0, 18, -18, 9, 9, -9, 9, 0, 0, 0, -9, 0, -9, 0, -18, -18, 0, 0, 0, -1\
8, -13, 0, -9 ], [ -13, -13, 0, 1, 26, -26, 13, 13, -13, 13, 0, 0, 0, -14, 1, -13, 0, -27, -26, 0, -1, -1, -26, -20, 0, -13 ], [ -10, -10, 0, 0, 21, -20, \
10, 10, -10, 10, 0, 0, 0, -11, 1, -10, 0, -21, -20, 0, -1, -1, -20, -15, 0, -10 ], [ -9, -9, 0, 0, 18, -17, 9, 9, -9, 9, 0, 0, 0, -9, 0, -9, 0, -18, -18, \
0, 0, 0, -18, -14, 0, -9 ], [ -6, -6, 0, 0, 12, -12, 7, 6, -6, 6, 0, 0, 0, -6, 0, -6, 0, -12, -12, 0, 0, 0, -12, -10, 0, -6 ], [ -4, -4, 0, 0, 8, -8, 4, 5\
, -4, 4, 0, 0, 0, -5, 1, -4, 0, -9, -8, 0, -1, -1, -8, -6, 0, -4 ], [ -3, -3, 0, 0, 6, -6, 3, 3, -2, 3, 0, 0, 0, -4, 1, -3, 0, -7, -6, 0, -1, -1, -6, -5, \
0, -3 ], [ -1, -1, 0, 0, 2, -2, 1, 1, -1, 2, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 0, 0, -2, -3, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ] ] ), rec( GramQ := [ [ -90, -6, -3, -14, 1, 2, 17, -5, 17, -9, 2, -8, -6, 5, 8, 6, 2 ], [ -6, -4, -2, -4, -2\
, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -14, -4, -8, -12, -6, -5, 6, -5, 8, -8,\
 -1, -4, -4, -2, 2, 2, 0 ], [ 1, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 2, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, \
-2 ], [ 17, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 17, 2, 6, 8, 6, 2, \
-6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, \
-2, -2, 0 ], [ -8, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 5, 0, -4, \
-2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, \
0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 10, -4, -8, 8, 0, 6 ], [ -4, -8, 2, 8, -4, -8, 8,\
 0, 6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 8, 2, -20, 10, 16, -16, 0, -12 ], [ -4, -4, 0, 10, -8, -6, 8, 0, 6 ], [ -8, -8, 0, 16, -6, -20, 18, 0, 12 ]\
, [ 8, 8, 0, -16, 8, 18, -20, 2, -12 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 6, 6, 0, -12, 6, 12, -12, 2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 1, -2, -1, -\
3, -2, 1, 0, -1, -2, -2, -1, -2 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 1, 0, -1, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, \
1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, \
0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 1, 5, -1, -7, 5, 1, 3, 3, -1, 1, -1, -3, -2, -4, 1, -7, -5, -1, 3, 1, -5, -7, -2, -5 ], embQ := [ [ 1, 1,\
 0, -2, 1, 2, -2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1,\
 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, \
0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 3, 0, 0, 0 ], [ 0,\
 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -4, 8, 0, 0, 0, 1, 0, -2, 0, -1, 1, 0, -3, \
-3, -3, 3, -4, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, \
0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 10, 7, 13, 19, 17, 14, 9, 6, 3, 1 ], rlifts := [ [ -1, -1, 0, 2, -1, -2, 2, 0, 1, 1, 0, 0, 0, -1, 1, -2, -\
1, -3, -2, 1, 0, -1, -2, -2, -1, -2 ], [ -1, -1, 0, 2, -1, -2, 2, 0, 1, 1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 1, 0, -1, -2, -1, -1 ] ], rootsQ := [ [ 1, \
0, 0, 0, 1, -1, 2, 1, 3, 2, -1, 0, 1, 2, 2, 1, 2 ], [ -1, 0, 0, 0, -1, 1, -2, -1, -3, -2, 1, 0, -1, -2, -2, -1, -2 ], [ 1, 0, 0, 0, 1, 1, 1, -1, 2, 1, 1, \
-1, 0, 1, 2, 1, 1 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 1, 0, -1, -2, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0\
, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1,\
 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -\
1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], t\
heg := [ [ -9, -7, -13, -19, -17, -14, -9, -6, -3, -1 ], [ -10, -6, -13, -19, -17, -14, -9, -6, -3, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 14, 26, \
39, 34, 28, 18, 12, 6, 2 ], [ -10, -7, -13, -19, -16, -14, -9, -6, -3, -1 ], [ -20, -14, -26, -38, -34, -27, -18, -12, -6, -2 ], [ 20, 14, 26, 38, 34, 28,\
 19, 12, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 10, 7, 13, 19, 17, 14, 9, 6, 4, 1 ], [ 10, 7, 13, 19, 17, 14, 9, 6, 3, 2 ] ], thegtilde := [ [ -9, -1\
0, 0, 20, -10, -20, 20, 0, 10, 10, 0, 0, 0, -10, 0, -15, 0, -25, -15, 0, 5, -5, -15, -20, -10, -15 ], [ -7, -6, 0, 14, -7, -14, 14, 0, 7, 7, 0, 0, 0, -7, \
1, -11, -1, -18, -11, 1, 3, -4, -11, -14, -7, -11 ], [ -13, -13, 1, 26, -13, -26, 26, 0, 13, 13, 0, 0, 0, -13, 1, -20, -1, -33, -20, 1, 6, -7, -20, -26, -\
13, -20 ], [ -19, -19, 0, 39, -19, -38, 38, 0, 19, 19, 0, 0, 0, -20, 2, -29, -1, -49, -29, 1, 8, -11, -29, -38, -19, -29 ], [ -17, -17, 0, 34, -16, -34, 3\
4, 0, 17, 17, 0, 0, 0, -18, 2, -26, -1, -44, -26, 1, 7, -10, -26, -34, -17, -26 ], [ -14, -14, 0, 28, -14, -27, 28, 0, 14, 14, 0, 0, 0, -14, 0, -21, 0, -3\
5, -21, 0, 7, -7, -21, -28, -14, -21 ], [ -9, -9, 0, 18, -9, -18, 19, 0, 9, 9, 0, 0, 0, -9, 1, -14, -1, -23, -14, 1, 4, -5, -14, -18, -9, -14 ], [ -6, -6,\
 0, 12, -6, -12, 12, 1, 6, 6, 0, 0, 0, -7, 3, -10, -2, -17, -10, 2, 1, -5, -10, -12, -6, -10 ], [ -3, -3, 0, 6, -3, -6, 6, 0, 4, 3, 0, 0, 0, -4, 0, -4, 1,\
 -8, -4, -1, 1, -2, -4, -6, -3, -4 ], [ -1, -1, 0, 2, -1, -2, 2, 0, 1, 2, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 1, 0, -1, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -2, -3, -2, 0, 2, -1, -3, -1, 1, 1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, -1, -2, -3, -1, 2, \
-3, -3, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, \
2, 2, 1, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -2, 1, 2, 2, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -1, 0, 2, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -1, -1, 2, -1, -\
1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -14, -1, 5, 1, 10, 2, \
2, 0, 0, 2, -2, -4, -2, 3, 0, 0, 0 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0,\
 -4, 2, 2, 0 ], [ 1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 2,\
 -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4\
, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 0, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 \
], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2,\
 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 3, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, \
-2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4,\
 0, 10, -4, 0, -2, 2, 0 ], [ -4, -8, 2, 8, -4, 0, -2, 2, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 8, 2, -20, 10, 0, 4, -4, 0 ], [ -4, -4, 0, 10, -8, 2, \
-2, 2, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -2, -2, 0, 4, -2, 2, -4, 2, 0 ], [ 2, 2, 0, -4, 2, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma :=\
 [ [ -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0 ], [ -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1\
, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, \
0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 1, 5, -1, -3, -1, 3, 1, 1, -1, 1, -1, -3, -2, -2, 1, -3, -3, -1, 3, 1, -2, -4, -1\
, -2 ], embQ := [ [ 1, 1, 0, -2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, -2, 0, -1, 0, 1 ], [ 0, -4, 2, 0, 0, 0, \
2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -2, 2, 0, 3, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ]\
, [ 2, 0, 2, -4, 2, 0, -4, 8, -4, 0, 0, 0, 0, -1, 0, 3, 0, 1, -1, 0, 1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0,\
 0, -1, 2, 1, -1, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0\
, 0, 0, -1, 0, 1, 2, 0, -2, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, 3, 5, 7, 7, 6, 5, 3, 2, 1 ], rlifts := [ [ -1, -1, 0, 2, -1, 0, -1, 1, 0, 0, 0\
, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0 ], [ -1, -1, 0, 2, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0 ] ], rootsQ \
:= [ [ 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0 ], [ -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0 ], [ -1, 0, 0, 0, -1, -1, 0, 0, 0,\
 0, 0, 1, 0, 1, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0,\
 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, \
0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1\
, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], th\
eg := [ [ -3, -3, -5, -7, -7, -6, -5, -3, -2, -1 ], [ -4, -2, -5, -7, -7, -6, -5, -3, -2, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 6, 10, 15, 14, 12, \
10, 6, 4, 2 ], [ -4, -3, -5, -7, -6, -6, -5, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -4, -3, -5, -7, -7, -6, -4, -3, -2, -1 ], [ 4, 3, 5, 7, 7, \
6, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -3, -4, 0, 8, -4, 0, -4, 4, 0, 0, 0, 0, 0, -4, 0, \
-2, 0, -2, -2, 0, 2, -2, 0, -2, -2, 0 ], [ -3, -2, 0, 6, -3, 0, -3, 3, 0, 0, 0, 0, 0, -3, 1, -2, 0, -2, -2, 0, 1, -2, -1, -1, -1, 0 ], [ -5, -5, 1, 10, -5\
, 0, -5, 5, 0, 0, 0, 0, 0, -5, 1, -3, 0, -3, -3, 0, 2, -3, -1, -2, -2, 0 ], [ -7, -7, 0, 15, -7, 0, -7, 7, 0, 0, 0, 0, 0, -8, 2, -4, 0, -5, -4, 0, 2, -5, \
-1, -3, -3, 0 ], [ -7, -7, 0, 14, -6, 0, -7, 7, 0, 0, 0, 0, 0, -8, 2, -4, 0, -5, -4, 0, 2, -5, -1, -3, -3, 0 ], [ -6, -6, 0, 12, -6, 1, -6, 6, 0, 0, 0, 0,\
 0, -6, 0, -3, 0, -3, -3, 0, 3, -3, 0, -3, -3, 0 ], [ -5, -5, 0, 10, -5, 0, -4, 5, 0, 0, 0, 0, 0, -5, 1, -3, 0, -3, -3, 0, 2, -3, -1, -2, -2, 0 ], [ -3, -\
3, 0, 6, -3, 0, -3, 4, 0, 0, 0, 0, 0, -4, 2, -2, 0, -3, -2, 0, 0, -3, -1, -1, -1, 0 ], [ -2, -2, 0, 4, -2, 0, -2, 2, 1, 0, 0, 0, 0, -3, 1, -1, 0, -2, -1, \
0, 0, -2, 0, -1, -1, 0 ], [ -1, -1, 0, 2, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -66, -3, -5, -11, 0, 3, 17, -6, 15, -9, 1, -6, -4, 2, 6, 3, 3 ], [ -\
3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -11, -4, -8, -12, -6, \
-5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 0, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -\
2, -2, -2, 2, 2, -2 ], [ 17, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -6, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 15\
, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0, 0, -2, 0, 0\
, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, \
0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 3, 2, 2, 2, 4, 2, -2, 0, \
-2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 3, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 0, 10, 0, -8, 4, -4, 6 ], [ -4, -8,\
 2, 8, 0, -8, 4, -4, 6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 8, 2, -20, 2, 16, -8, 8, -12 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, -8, 0, 16, 2, -20, 1\
0, -8, 12 ], [ 4, 4, 0, -8, 0, 10, -8, 6, -6 ], [ -4, -4, 0, 8, 0, -8, 6, -8, 8 ], [ 6, 6, 0, -12, 0, 12, -6, 8, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0,\
 -2, 0, -2, -1, 0, 0, -1, -1, -2, 0, -1 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, 0, -1, -1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, \
0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, \
0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 1, 5, 1, -7, 3, -1, 3, 3, -1, 1, -1, -3, -2, -5, 1, -6, -4, -1, 2, 0, -4, -6, 0, -4 ], embQ := [ [ \
1, 1, 0, -2, 0, 2, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0\
, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0\
, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ],\
 [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, \
-2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2,\
 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 7, 5, 9, 13, 12, 11, 8, 6, 3, 1 ], rlifts := [ [ -1, -1, 0, 2, 0, -2, 1, -1, 1, 1, 0, 0, 0, -1, 0, -2,\
 0, -2, -1, 0, 0, -1, -1, -1, 0, -1 ], [ -1, -1, 0, 2, 0, -2, 1, -1, 1, 1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, 0, -1, -1, -2, 0, -1 ] ], rootsQ := [ [ 1, 0,\
 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, 0, -1, -1, -2, 0, -1 ], [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1\
, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, 0, -1, -1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1\
, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1\
, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1\
, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [\
 -6, -5, -9, -13, -12, -11, -8, -6, -3, -1 ], [ -7, -4, -9, -13, -12, -11, -8, -6, -3, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 14, 10, 18, 27, 24, 22, 1\
6, 12, 6, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -14, -10, -18, -26, -24, -21, -16, -12, -6, -2 ], [ 7, 5, 9, 13, 12, 11, 9, 6, 3, 1 ], [ -7, -5, -9, -1\
3, -12, -11, -8, -5, -3, -1 ], [ 7, 5, 9, 13, 12, 11, 8, 6, 4, 1 ], [ 7, 5, 9, 13, 12, 11, 8, 6, 3, 2 ] ], thegtilde := [ [ -6, -7, 0, 14, 0, -14, 7, -7, \
7, 7, 0, 0, 0, -7, 0, -14, 0, -14, -7, 0, 0, -7, -7, -10, 0, -7 ], [ -5, -4, 0, 10, 0, -10, 5, -5, 5, 5, 0, 0, 0, -5, 0, -10, 0, -10, -5, 0, 0, -5, -5, -8\
, 0, -5 ], [ -9, -9, 1, 18, 0, -18, 9, -9, 9, 9, 0, 0, 0, -9, 0, -18, 0, -18, -9, 0, 0, -9, -9, -13, 0, -9 ], [ -13, -13, 0, 27, 0, -26, 13, -13, 13, 13, \
0, 0, 0, -14, 1, -26, 0, -27, -13, 0, -1, -14, -13, -20, 0, -13 ], [ -12, -12, 0, 24, 1, -24, 12, -12, 12, 12, 0, 0, 0, -13, 1, -24, 0, -25, -12, 0, -1, -\
13, -12, -18, 0, -12 ], [ -11, -11, 0, 22, 0, -21, 11, -11, 11, 11, 0, 0, 0, -11, 0, -22, 0, -22, -11, 0, 0, -11, -11, -17, 0, -11 ], [ -8, -8, 0, 16, 0, \
-16, 9, -8, 8, 8, 0, 0, 0, -8, 0, -16, 0, -16, -8, 0, 0, -8, -8, -13, 0, -8 ], [ -6, -6, 0, 12, 0, -12, 6, -5, 6, 6, 0, 0, 0, -7, 1, -12, 0, -13, -6, 0, -\
1, -7, -6, -9, 0, -6 ], [ -3, -3, 0, 6, 0, -6, 3, -3, 4, 3, 0, 0, 0, -4, 1, -6, 0, -7, -3, 0, -1, -4, -3, -5, 0, -3 ], [ -1, -1, 0, 2, 0, -2, 1, -1, 1, 2,\
 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, 0, -1, -1, -3, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
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 ] ] ), rec( GramQ := [ [ -14, -1, 3, -2, 3, 3, 1, 1, 3, 1, 1, -2, -1, 4, 2, 0, 2 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3\
, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 3, -2, -10, -6, -16, \
-4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2,\
 -2, -2, 0 ], [ 1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2, -8, -8\
, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2,\
 -4, -2, 0, 0, 0, 0 ], [ -1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, \
2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0\
, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, -2, 2, 2, -6, 2, 0, 0 ], [ -4, -8, 0, 0, 2, -6, 2, 0, 0 ], [ -2, 0, -8, 2, 2, -6, 0, 0, 0 ], [ 2, 0, 2, -4,\
 2, 0, 0, 0, 0 ], [ 2, 2, 2, 2, -4, 4, 0, 0, 0 ], [ -6, -6, -6, 0, 4, -12, 2, 0, 0 ], [ 2, 2, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0,\
 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, \
0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1\
, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 3, 1, 1, -5, 5, 1, 1, 1, -1, 1, -1, -1, -2,\
 -1, 1, -4, -4, -1, 3, 2, -4, -5, 0, -4 ], embQ := [ [ 1, 1, -1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, -3, 0, -2, 0, -2, -2, 0, 0, -1,\
 -2, -2, 0, 0 ], [ 0, -4, 2, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1, 3, -2 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2\
, 0, -2, 0, -3, -3, 0, 1, 2, -2, -3, -1, -1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 4, -6, 0, 2, 0, 0, 0, 0, 0, -3, 0, -2, 0, -3, -3, 0, 1, 1, -3, -3, 2, -3 ], [ \
0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, \
-2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 4, 7, 11, 9, 7, 4, 3, 2, 1 ], rlifts := \
[ [ -1, -1, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -1 ], [ -1, -1, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1\
, 0, 1, 0, -1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -\
1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0,\
 -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2,\
 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1",\
 "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -7, -11, -9, -7, -4, -3, -2, -1 ], [ -6, -3, -7, -11, -9, -7, -4, -3, -2, -1 ], [ 6, 4, 8, 11, 9, 7, \
4, 3, 2, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -9, -6, -4, -3, -2, -1 ], [ 12, 8, 14, 22, 18, 14, 9,\
 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -5, -6, 6, 0, 0, -6, \
12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 3, 0, -6, -6, 0, -6 ], [ -4, -3, 4, 0, 0, -4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 2, 0, -4, -4, 0, -4\
 ], [ -7, -7, 8, 0, 0, -7, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, -7, 0, 3, 0, -7, -7, 0, -7 ], [ -11, -11, 11, 1, 0, -11, 22, 0, 0, 0, 0, 0, 0, -1, 1, 0, \
0, -12, -11, 0, 5, -1, -11, -11, 0, -11 ], [ -9, -9, 9, 0, 1, -9, 18, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -10, -9, 0, 3, -1, -9, -9, 0, -9 ], [ -7, -7, 7, 0, 0\
, -6, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, -7, 0, 2, 0, -7, -7, 0, -7 ], [ -4, -4, 4, 0, 0, -4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 2, 0, -4, -4,\
 0, -4 ], [ -3, -3, 3, 0, 0, -3, 6, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -4, -3, 0, 1, -1, -3, -3, 0, -3 ], [ -2, -2, 2, 0, 0, -2, 4, 0, 1, 0, 0, 0, 0, -1, 1, 0\
, 0, -3, -2, 0, 0, -1, -2, -2, 0, -2 ], [ -1, -1, 1, 0, 0, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -2, 0, 1, 1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -1, -2, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -146, 1, 15, 0, 23, 15, 9, 1, 7, 3, -1, -6, -5, 14, 2,\
 -2, 8 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 15, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8,\
 -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 23, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 15, -3, -5, -5, -4, -6, 2, -2,\
 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0,\
 0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0,\
 -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -5, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, \
0, 0, 0, 0 ], [ 14, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4,\
 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -24, -20, -12, 2, 10, -32, 2, 8,\
 4 ], [ -20, -24, -10, 0, 10, -32, 2, 8, 4 ], [ -12, -10, -12, 2, 6, -20, 2, 4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 10, 10, 6, 2, -8, 16, 0, -4, -2 ], \
[ -32, -32, -20, 0, 16, -52, 4, 12, 6 ], [ 2, 2, 2, 0, 0, 4, -4, 2, 0 ], [ 8, 8, 4, 0, -4, 12, 2, -8, 0 ], [ 4, 4, 2, 0, -2, 6, 0, 0, -4 ] ], Sigma := [ [\
 -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -3, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0\
, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 3, 1, 5, -9, 1, 5, 1, 5, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 1, 0, -8, -7, 0\
, -6 ], embQ := [ [ 1, 1, -1, 0, -2, 3, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2, 0, 4, -8, 0, 0, 0, -4, 0, 0, 0, -1, -3, 0, 3, 2, 1, -5, 4, -3 ], [ 0, -4, 2, 0, 2, \
-4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 2, 3, -4, 7, -5 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 2, -4, 0, 0, 0, -3, 0, -1, 0, -2, -3, 0, 2, 3, 0, -4, 1\
, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, \
0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 6, -12, 0, 0, 0, -5, 0, 1, 0, -1, -4, 0, 5, 5, 2, -7, 8, -7 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 12, 8, 15, 23, 19, 17, 12, 7, 4, 1 ], rlifts := [ [ -1, -1, 1, 0, 2, -3, 0, \
2, 0, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -3, -2, 0, -2 ], [ -1, -1, 1, 0, 2, -3, 0, 2, 0, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0,\
 -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 3, 2, 0, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -3, -2, 0, -2 ], [ 1, 0, 0, 0, \
2, 0, 2, 0, 3, 2, 0, 1, 1, 3, 2, 0, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -3, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0\
, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, \
1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A\
1", "A1", "A1" ], theg := [ [ -11, -8, -15, -23, -19, -17, -12, -7, -4, -1 ], [ -12, -7, -15, -23, -19, -17, -12, -7, -4, -1 ], [ 12, 8, 16, 23, 19, 17, 1\
2, 7, 4, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 24, 16, 30, 46, 39, 34, 24, 14, 8, 2 ], [ -36, -24, -45, -69, -57, -50, -36, -21, -12, -3 ], [ 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 24, 16, 30, 46, 38, 34, 24, 15, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 24, 16, 30, 46, 38, 34, 24, 14, 8, 3 ] ], thegtilde :\
= [ [ -11, -12, 12, 0, 24, -36, 0, 24, 0, 24, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, -6, -12, -36, -24, 0, -24 ], [ -8, -7, 8, 0, 16, -24, 0, 16, 0, 16, 0,\
 0, 0, -16, 0, -16, 0, -24, -16, 0, -4, -8, -24, -16, 0, -16 ], [ -15, -15, 16, 0, 30, -45, 0, 30, 0, 30, 0, 0, 0, -30, 0, -30, 0, -45, -30, 0, -8, -15, -\
45, -30, 0, -30 ], [ -23, -23, 23, 1, 46, -69, 0, 46, 0, 46, 0, 0, 0, -47, 1, -46, 0, -70, -46, 0, -12, -24, -69, -46, 0, -46 ], [ -19, -19, 19, 0, 39, -5\
7, 0, 38, 0, 38, 0, 0, 0, -39, 1, -38, 0, -58, -38, 0, -11, -20, -57, -38, 0, -38 ], [ -17, -17, 17, 0, 34, -50, 0, 34, 0, 34, 0, 0, 0, -34, 0, -34, 0, -5\
1, -34, 0, -10, -17, -51, -34, 0, -34 ], [ -12, -12, 12, 0, 24, -36, 1, 24, 0, 24, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, -6, -12, -36, -24, 0, -24 ], [ -7\
, -7, 7, 0, 14, -21, 0, 15, 0, 14, 0, 0, 0, -15, 1, -14, 0, -22, -14, 0, -4, -8, -21, -14, 0, -14 ], [ -4, -4, 4, 0, 8, -12, 0, 8, 1, 8, 0, 0, 0, -9, 1, -\
8, 0, -13, -8, 0, -3, -5, -12, -8, 0, -8 ], [ -1, -1, 1, 0, 2, -3, 0, 2, 0, 3, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -3, -2, 0, -2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -2, 0, 1, 1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -1\
, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -34, -2, -9, -6, -14, 0, 10, -2, 10, -8, 6, 1,\
 3, 0, 6, 8, -2 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -9, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ \
-6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -14, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 0, -3, -5, -5, -4,\
 -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, \
-2, -2, 0, 0, 0 ], [ 10, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -8, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 6, 0, 1\
, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 3, -2, 0, -4, 2, -2, 2, -2, 2, -2, \
-2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2\
, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -12, -8, -4, 0, -12, \
2, 0, 0, 2 ], [ -8, -12, -2, -2, -12, 2, 0, 0, 2 ], [ -4, -2, -8, 0, -8, 2, 0, 0, 0 ], [ 0, -2, 0, -4, -4, 2, 0, 0, 0 ], [ -12, -12, -8, -4, -20, 4, 0, 0,\
 2 ], [ 2, 2, 2, 2, 4, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 2, 0, 0, 2, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0\
, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -2, -1, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, \
2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1\
, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 3, 3, -1, -3, 1, 1, 1, 5, -1, 1, -1, -1, -2, -3, 1, -4, -2, -1, 1, -1, -4, -3, -2, -2 ], e\
mbQ := [ [ 1, 1, -1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 4, -4, 2, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 2, 0, 2, -1, -1, 1 ], [ 0, -4, 2, 2, -4, 2, 0, 0, 2,\
 -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 4, 0, 2, -1 ], [ 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -4, 2 ], [ 2, 0, 2, -2\
, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 4, -8, 4, 0, 0, 2, -4, 0, 0, 0, 1, 0, 3, 0, 3, 2, 0, 3, 1, 4, 1, -2, 1 ]\
, [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0\
, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1,\
 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 6, 4, 7, 11, 10, 8, 6, 4, 2, 0 ], rlifts := [ [ -1, -1, 1, 1, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, \
-1, 0, 0, 0, -2, -1, 0, -1, 0 ], [ -1, -1, 1, 1, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, -1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0,\
 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -2, -1, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0 ],\
 [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0,\
 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0,\
 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -7, -\
11, -10, -8, -6, -4, -2, 0 ], [ -6, -3, -7, -11, -10, -8, -6, -4, -2, 0 ], [ 6, 4, 8, 11, 10, 8, 6, 4, 2, 0 ], [ 6, 4, 7, 12, 10, 8, 6, 4, 2, 0 ], [ -6, -\
4, -7, -11, -9, -8, -6, -4, -2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 12, 8, 14, 22, 20, 16, 12, 8, 4, 1 ] ], thegtilde := [ [ -5, -6, 6, 6, -6, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, -3, -9, -6\
, 0, -6, 0 ], [ -4, -3, 4, 4, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -2, -6, -4, 0, -4, 0 ], [ -7, -7, 8, 7, -7, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0\
, -7, 0, -7, 0, 0, -3, -11, -7, 0, -7, 0 ], [ -11, -11, 11, 12, -11, 0, 0, 0, 0, 22, 0, 0, 0, -1, 1, -11, 0, -12, 0, 0, -6, -18, -11, 0, -11, 0 ], [ -10, \
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8, 0, 0, -4, -12, -8, 0, -8, 0 ], [ -6, -6, 6, 6, -6, 0, 1, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, -3, -9, -6, 0, -6, 0 ], [ -4, -4, 4, 4, -4, 0, 0, 1,\
 0, 8, 0, 0, 0, -1, 1, -4, 0, -5, 0, 0, -3, -7, -4, 0, -4, 0 ], [ -2, -2, 2, 2, -2, 0, 0, 0, 1, 4, 0, 0, 0, -1, 1, -2, 0, -3, 0, 0, -2, -4, -2, 0, -2, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1\
, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
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0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -178, 0, 9, -8, 24, 12, 14, -4, 12, -2, -4, -11, -9, 10, 2, -6, 12 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2\
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2, 0 ], [ 24, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 12, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 14, 2, 6, \
6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 12, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2\
, 2, 2, -2, -2, 0 ], [ -2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -1\
1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -9, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, \
-2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ]\
, [ 12, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, -4, 0, -8, 2, 0, 0, 0 ], [ -4, -8, -2, -2, -8, 2, 0, 0, 0 ], [ -4\
, -2, -12, -4, -12, 10, -4, -2, -2 ], [ 0, -2, -4, -8, -8, 10, -4, -2, -2 ], [ -8, -8, -12, -8, -20, 12, -4, -2, -2 ], [ 2, 2, 10, 10, 12, -20, 10, 4, 4 ]\
, [ 0, 0, -4, -4, -4, 10, -8, 0, -2 ], [ 0, 0, -2, -2, -2, 4, 0, -4, 0 ], [ 0, 0, -2, -2, -2, 4, -2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3\
, -2, 0, 1, -1, -2, -3, 1, -3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], \
[ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0,\
 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 3, 3, 3, -11, 5, 1, 5, 1, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 3, 1, -6, -9, 2, -8 ], embQ := [ [ 1, 1, -1, -\
1, -1, 4, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0,\
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, embQperp := [ [ -4, 0, 0, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -3, 2 ], [ 0, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, \
0, 1, 1, 0, 1, -1, 2, 1, 0, 0 ], [ 0, 2, -4, 4, -4, 2, 0, -2, 4, -2, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 3, -1, -2, 1 ], [ 2, 0, 2, -2, -2, 2, 0, -2, 4,\
 -2, 0, 0, 0, 1, 0, 1, 0, 2, 3, 0, -1, -1, 3, 1, 2, -1 ], [ 0, 0, 0, 4, -8, 4, 0, -2, 4, -2, 0, 0, 0, 1, 0, 1, 0, 2, 3, 0, 1, -1, 4, 1, -2, 1 ], [ 0, 0, 0\
, 0, 2, -4, 2, 4, -8, 4, 0, 0, 0, 1, 0, 1, 0, -2, -4, 0, 3, 3, -6, 0, -3, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, -2, 0, -1, 0, 1, 2, 0, -2, -2, 3\
, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, \
1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 12, 8, 15, 23, 20, 18, 12, 8, 4, 2 ], rlifts := [ [ -1, -1, 1, 1, 1, -4, 2, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -3, -2\
, 0, 1, -1, -2, -3, 1, -3 ], [ -1, -1, 1, 1, 1, -4, 2, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 1, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0,\
 2, 0, 3, 2, 0, -1, 1, 2, 3, -1, 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 1, -1, -2, -3, 1, -3 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 0, 2, 3, -1, 3\
 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 1, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1\
, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0\
, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -11, -8, \
-15, -23, -20, -18, -12, -8, -4, -2 ], [ -12, -7, -15, -23, -20, -18, -12, -8, -4, -2 ], [ 12, 8, 16, 23, 20, 18, 12, 8, 4, 2 ], [ 12, 8, 15, 24, 20, 18, \
12, 8, 4, 2 ], [ 12, 8, 15, 23, 21, 18, 12, 8, 4, 2 ], [ -48, -32, -60, -92, -80, -71, -48, -32, -16, -8 ], [ 24, 16, 30, 46, 40, 36, 25, 16, 8, 4 ], [ 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 24, 16, 30, 46, 40, 36, 24, 16, 9, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -11, -12, 12, 12, 12, -48, 24\
, 0, 24, 0, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, 6, -6, -24, -36, 12, -36 ], [ -8, -7, 8, 8, 8, -32, 16, 0, 16, 0, 0, 0, 0, -16, 0, -16, 0, -24, -16, 0, \
4, -4, -16, -24, 8, -24 ], [ -15, -15, 16, 15, 15, -60, 30, 0, 30, 0, 0, 0, 0, -30, 0, -30, 0, -45, -30, 0, 8, -8, -30, -45, 15, -45 ], [ -23, -23, 23, 24\
, 23, -92, 46, 0, 46, 0, 0, 0, 0, -47, 1, -46, 0, -70, -46, 0, 11, -13, -46, -69, 23, -69 ], [ -20, -20, 20, 20, 21, -80, 40, 0, 40, 0, 0, 0, 0, -41, 1, -\
40, 0, -61, -40, 0, 9, -11, -40, -60, 20, -60 ], [ -18, -18, 18, 18, 18, -71, 36, 0, 36, 0, 0, 0, 0, -36, 0, -36, 0, -54, -36, 0, 9, -9, -36, -54, 18, -54\
 ], [ -12, -12, 12, 12, 12, -48, 25, 0, 24, 0, 0, 0, 0, -24, 0, -24, 0, -36, -24, 0, 6, -6, -24, -36, 12, -36 ], [ -8, -8, 8, 8, 8, -32, 16, 1, 16, 0, 0, \
0, 0, -17, 1, -16, 0, -25, -16, 0, 3, -5, -16, -24, 8, -24 ], [ -4, -4, 4, 4, 4, -16, 8, 0, 9, 0, 0, 0, 0, -9, 1, -8, 0, -13, -8, 0, 1, -3, -8, -12, 4, -1\
2 ], [ -2, -2, 2, 2, 2, -8, 4, 0, 4, 1, 0, 0, 0, -4, 0, -4, 0, -6, -4, 0, 1, -1, -4, -6, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
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0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -144, 1, 21, 3, 36, 13, 1, 2, -1, 9, -7, -10, -8, 14, -3, -8, 9 ], [ 1, -4, -2, -4, -2, -3, 2\
, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 21, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, \
-4, -2, 2, 2, 0 ], [ 36, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 13, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [\
 1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1, 2, 6, 8, 6, 2, -6, 4, -8\
, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -7, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0\
 ], [ -10, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -8, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 14, 0, -4, -2, -4,\
 -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2\
, -4, 2 ], [ 9, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -24, -20, -12, -10, -10, -32, 6, 4, 0 ], [ -20, -24, -10, -12, -1\
0, -32, 6, 4, 0 ], [ -12, -10, -12, -6, -6, -20, 4, 2, 0 ], [ -10, -12, -6, -12, -4, -20, 4, 2, 0 ], [ -10, -10, -6, -4, -8, -16, 4, 2, 0 ], [ -32, -32, -\
20, -20, -16, -52, 10, 6, 0 ], [ 6, 6, 4, 4, 4, 10, -4, 0, 0 ], [ 4, 4, 2, 2, 2, 6, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0\
, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1, -2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, \
2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -\
1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -4, 3, 3, 3, -9, 1, 5, 1, 1, -1, 1, -1, -5, -2, -3, 1, -6, -6, -1, 4, 2, -6, -7, 1, -6 ], embQ :=\
 [ [ 1, 1, -1, -1, -1, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 6, -8, 4, 0, 0, 0, 0, 0, 0, -4, 0, -3, -1, 0, -1, -2, -1, -3, 2, -1 ], [ 0, -4, 2, 0, 2, -4, 6, -8, 4\
, 0, 0, 0, 0, 1, 0, -3, 0, -2, 0, 0, -1, -2, 1, -2, 5, -3 ], [ 0, 2, -4, 2, 2, -4, 4, -4, 2, 0, 0, 0, 0, -1, 0, -3, 0, -3, -2, 0, 0, 1, -1, -3, 0, -1 ], [\
 2, 0, 2, -4, 4, -4, 4, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, -1, -1, 4, -3 ], [ 0, 0, 0, 2, -2, -2, 4, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, \
0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 4, -8, 10, -12, 6, 0, 0, 0, 0, 1, 0, -5, 0, -4, -1, 0, -1, -1, -1, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 9, 6, 11, 17, 15, 14, 10, 6, 4, 2 ], rlifts := [ [ -1, -1, 1, 1, 1, -3, 0, 2\
, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1, -2 ], [ -1, -1, 1, 1, 1, -3, 0, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 0, -2 \
] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, -1, 0, 2, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 1, -2 ], [ 1, 0, 0, 0, 2, \
0, 1, 0, 2, 2, 0, -1, 0, 2, 2, 0, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0,\
 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0\
, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", \
"A1", "A1" ], theg := [ [ -8, -6, -11, -17, -15, -14, -10, -6, -4, -2 ], [ -9, -5, -11, -17, -15, -14, -10, -6, -4, -2 ], [ 9, 6, 12, 17, 15, 14, 10, 6, 4\
, 2 ], [ 9, 6, 11, 18, 15, 14, 10, 6, 4, 2 ], [ 9, 6, 11, 17, 16, 14, 10, 6, 4, 2 ], [ -27, -18, -33, -51, -45, -41, -30, -18, -12, -6 ], [ 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0 ], [ 18, 12, 22, 34, 30, 28, 20, 13, 8, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -8, -9,\
 9, 9, 9, -27, 0, 18, 0, 0, 0, 0, 0, -18, 0, -9, 0, -18, -18, 0, 9, 0, -18, -18, 5, -18 ], [ -6, -5, 6, 6, 6, -18, 0, 12, 0, 0, 0, 0, 0, -12, 0, -6, 0, -1\
2, -12, 0, 6, 0, -12, -12, 2, -12 ], [ -11, -11, 12, 11, 11, -33, 0, 22, 0, 0, 0, 0, 0, -22, 0, -11, 0, -22, -22, 0, 11, 0, -22, -22, 6, -22 ], [ -17, -17\
, 17, 18, 17, -51, 0, 34, 0, 0, 0, 0, 0, -35, 1, -17, 0, -35, -34, 0, 16, -1, -34, -34, 8, -34 ], [ -15, -15, 15, 15, 16, -45, 0, 30, 0, 0, 0, 0, 0, -31, \
1, -15, 0, -31, -30, 0, 14, -1, -30, -30, 8, -30 ], [ -14, -14, 14, 14, 14, -41, 0, 28, 0, 0, 0, 0, 0, -28, 0, -14, 0, -28, -28, 0, 14, 0, -28, -28, 6, -2\
8 ], [ -10, -10, 10, 10, 10, -30, 1, 20, 0, 0, 0, 0, 0, -20, 0, -10, 0, -20, -20, 0, 10, 0, -20, -20, 4, -20 ], [ -6, -6, 6, 6, 6, -18, 0, 13, 0, 0, 0, 0,\
 0, -13, 1, -6, 0, -13, -12, 0, 5, -1, -12, -12, 3, -12 ], [ -4, -4, 4, 4, 4, -12, 0, 8, 1, 0, 0, 0, 0, -9, 1, -4, 0, -9, -8, 0, 3, -1, -8, -8, 2, -8 ], [\
 -2, -2, 2, 2, 2, -6, 0, 4, 0, 1, 0, 0, 0, -4, 0, -2, 0, -4, -4, 0, 2, 0, -4, -4, -1, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ] ), rec( GramQ := [ [ -62, 1, 5, -3, 10, 9, 7, 0, 7, -1, 1, -4, -2, 8, 2, -1, 7 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2,\
 -2, 0, -2, -2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, \
2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 7, 2, 6,\
 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2,\
 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, \
-2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, \
2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ \
7, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 8, 2, 0, -8, 4, 4, 6 ], [ -4, -8, 10, 0, 0, -8, 4, 4, 6 ], [ 8, 10, -2\
0, 2, 0, 16, -8, -8, -12 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, -8, 16, 0, 2, -20, 10, 8, 12 ], [ 4, 4, -8, 0, 0, 10, -8\
, -2, -6 ], [ 4, 4, -8, 0, 0, 8, -2, -8, -4 ], [ 6, 6, -12, 0, 0, 12, -6, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -2, 0\
, -2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1,\
 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], a\
djweyl := [ -3, -4, 5, 1, 1, -7, 3, 3, 3, 3, -1, 1, -1, -3, -2, -3, 1, -6, -4, -1, 2, 0, -6, -6, 0, -6 ], embQ := [ [ 1, 1, -2, 0, 0, 2, -1, -1, -1, -1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, \
0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1\
, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0\
, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, \
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4, 2 ] ], r := [ 11, 7, 13, 21, 18, 15, 10, 6, 3, 1 ], rlifts := [ [ -1, -1, 2, 0, 0, -2, 1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -1, 0, \
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2, 2, 0, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -2, -2, 0, -2 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2 ], [ -1, 0, 0, 0, -1, 0,\
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, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -10, -7, -13, -21, -18, -15, -10,\
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1, -7, -12, -9, 0, -12 ], [ -3, -3, 6, 0, 0, -6, 3, 3, 4, 3, 0, 0, 0, -4, 1, -3, 0, -7, -3, 0, -1, -4, -6, -5, 0, -6 ], [ -1, -1, 2, 0, 0, -2, 1, 1, 1, 2,\
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 ] ] ), rec( GramQ := [ [ -50, 4, 3, 0, 9, 10, 7, -1, 5, -1, 0, -2, 0, 5, 0, -4, 8 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3\
, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 9, -2, -10, -6, -16, -\
4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 7, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2,\
 -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, \
-8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -\
2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 5, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0,\
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 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, 8, 2, 4, -8, 0, 0, 6 ], [ -4, -8, 10, 0, 4, -8, 0, 0, 6 ], [ 8, 10, -20, 2, -8, 16, 0, 0, -12 ], [ 2, 0, \
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, 2 ], [ 6, 6, -12, 0, -6, 12, 0, 2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 1, -2, -1, -2, -1, 1, -1, -2, -2, -1, 1, -2 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -\
1, 0, -1, 0, -1, -1, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [\
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 3, 3, -1, 1, -1, -3, -2, -4, 1, -5, -3, -1, 1, -1, -5, -5, 2, -5 ], embQ := [ [ 1, 1, -2, 0, -1, 2, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
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 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, \
0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, \
-4, 8, 0, 0, 0, 1, 0, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, \
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2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, \
0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 8, 5, 9, 15, 13, 12, 9, \
6, 3, 1 ], rlifts := [ [ -1, -1, 2, 0, 1, -2, 0, 0, 1, 1, 0, 0, 0, -1, 1, -2, -1, -2, -1, 1, -1, -2, -2, -1, 1, -2 ], [ -1, -1, 2, 0, 1, -2, 0, 0, 1, 1, 0\
, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, -1, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, -1, 2, 1, 2, 1, -1, 1, 2, 2, 1, -1, 2 ], [ -1, 0, 0, 0, -1, 1, -2\
, -1, -2, -1, 1, -1, -2, -2, -1, 1, -2 ], [ 1, 0, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, 1, 1, -1, 1 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, -1, -1,\
 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -\
1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ \
0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1\
, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -7, -5, -9, -15, -13, -12, -9, -6, -3, -1 ], [ -8, -4, -9, -15, -1\
3, -12, -9, -6, -3, -1 ], [ 16, 10, 19, 30, 26, 24, 18, 12, 6, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 8, 5, 9, 15, 14, 12, 9, 6, 3, 1 ], [ -16, -10, -18\
, -30, -26, -23, -18, -12, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 8, 5, 9, 15, 13, 12, 9, 6, 4, 1 ], [ 8, 5, 9, 1\
5, 13, 12, 9, 6, 3, 2 ] ], thegtilde := [ [ -7, -8, 16, 0, 8, -16, 0, 0, 8, 8, 0, 0, 0, -8, 0, -12, 0, -12, -4, 0, -4, -12, -12, -8, 8, -12 ], [ -5, -4, 1\
0, 0, 5, -10, 0, 0, 5, 5, 0, 0, 0, -5, 1, -8, -1, -8, -3, 1, -3, -8, -8, -5, 5, -8 ], [ -9, -9, 19, 0, 9, -18, 0, 0, 9, 9, 0, 0, 0, -9, 1, -14, -1, -14, -\
5, 1, -5, -14, -14, -9, 9, -14 ], [ -15, -15, 30, 1, 15, -30, 0, 0, 15, 15, 0, 0, 0, -16, 2, -23, -1, -24, -8, 1, -9, -24, -23, -15, 15, -23 ], [ -13, -13\
, 26, 0, 14, -26, 0, 0, 13, 13, 0, 0, 0, -14, 2, -20, -1, -21, -7, 1, -8, -21, -20, -13, 13, -20 ], [ -12, -12, 24, 0, 12, -23, 0, 0, 12, 12, 0, 0, 0, -12\
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], [ -6, -6, 12, 0, 6, -12, 0, 1, 6, 6, 0, 0, 0, -7, 3, -10, -2, -11, -4, 2, -5, -11, -10, -6, 6, -10 ], [ -3, -3, 6, 0, 3, -6, 0, 0, 4, 3, 0, 0, 0, -4, 0\
, -4, 1, -5, -1, -1, -2, -5, -4, -3, 3, -4 ], [ -1, -1, 2, 0, 1, -2, 0, 0, 1, 2, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, -1, -1, 1, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -2, -3, -2, 0, 2, -1, -3, -1, 1, 1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, -1, -2, -3, -\
1, 2, -3, -3, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 -1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -60, -4, 1, -9, \
5, 3, 13, -4, 12, -5, 0, -6, -6, 4, 6, 2, 2 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 1, -2, -12, -8, -10, -5, 6, -4, 6, -8, \
1, -2, 0, -4, 2, 2, 0 ], [ -9, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 5, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -\
2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 13, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -\
2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 12, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2,\
 -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0\
, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0\
, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp :=\
 [ [ -8, 0, -4, 6, 4, -8, 8, -2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, 4, -8, 8, -2, 2 ], [ 6, 0, 6, -8, -2, 8, -8, 2, -2 ], [ 4, 0, 4, -2,\
 -8, 10, -8, 2, -2 ], [ -8, 0, -8, 8, 10, -20, 18, -4, 4 ], [ 8, 0, 8, -8, -8, 18, -20, 6, -4 ], [ -2, 0, -2, 2, 2, -4, 6, -4, 2 ], [ 2, 0, 2, -2, -2, 4, \
-4, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, 0, -1, -2, 0, -1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, 0, -1, -2, 0, -1 ], [ \
0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1,\
 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, -1, 3, 3, -7, 5, -1, 3, 1, -1, 1, -1, -3, -2, -4, 1, -\
6, -5, -1, 2, 2, -4, -7, 0, -4 ], embQ := [ [ 1, 0, 1, -1, -1, 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 1, 0, -3, 0, -3,\
 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, \
0, 1, 2, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, -2, -1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, -2, 4, -2, 0, 0, \
0, 0, 0, 0, 0, 1, 2, 0, 0, -1, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 4, -8, 4, 0, 0, 0, 1, 0, 1, 0, -2, -4, 0, 3, 3, -6, 0, -3, 0 ], [ 0, 0, 0, 0, 0, 2, -\
4, -2, 8, -4, 0, 0, 0, -3, 0, -2, 0, 1, 3, 0, -3, -3, 5, -1, 4, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 4, 8, 11, 9, 8, 5, 4, 2, 1 ], rlifts := [ [ -1, 0, -1,\
 1, 1, -2, 2, -1, 1, 0, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, 0, -1, -2, 0, -1 ], [ -1, 0, -1, 1, 1, -2, 2, -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, \
0, -1, -2, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 0, 0, -1, -2, 0, -1 ], [ \
1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 0, 0, 0, -1, -2, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, \
2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -\
1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1"\
, "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -8, -11, -9, -8, -5, -4, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -9, -8, -5, -4, -2\
, -1 ], [ 6, 4, 8, 12, 9, 8, 5, 4, 2, 1 ], [ 6, 4, 8, 11, 10, 8, 5, 4, 2, 1 ], [ -12, -8, -16, -22, -18, -15, -10, -8, -4, -2 ], [ 12, 8, 16, 22, 18, 16, \
11, 8, 4, 2 ], [ -6, -4, -8, -11, -9, -8, -5, -3, -2, -1 ], [ 6, 4, 8, 11, 9, 8, 5, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -5, 0,\
 -6, 6, 6, -12, 12, -6, 6, 0, 0, 0, 0, -6, 0, -9, 0, -12, -9, 0, 0, 0, -6, -12, 0, -6 ], [ -4, 1, -4, 4, 4, -8, 8, -4, 4, 0, 0, 0, 0, -4, 0, -6, 0, -8, -6\
, 0, 0, 0, -4, -8, 0, -4 ], [ -8, 0, -7, 8, 8, -16, 16, -8, 8, 0, 0, 0, 0, -8, 0, -12, 0, -16, -12, 0, 0, 0, -8, -16, 0, -8 ], [ -11, 0, -11, 12, 11, -22,\
 22, -11, 11, 0, 0, 0, 0, -12, 1, -18, 0, -23, -18, 0, -1, -1, -11, -22, 0, -11 ], [ -9, 0, -9, 9, 10, -18, 18, -9, 9, 0, 0, 0, 0, -10, 1, -15, 0, -19, -1\
5, 0, -1, -1, -9, -18, 0, -9 ], [ -8, 0, -8, 8, 8, -15, 16, -8, 8, 0, 0, 0, 0, -8, 0, -12, 0, -16, -12, 0, 0, 0, -8, -16, 0, -8 ], [ -5, 0, -5, 5, 5, -10,\
 11, -5, 5, 0, 0, 0, 0, -5, 0, -8, 0, -10, -8, 0, 0, 0, -5, -10, 0, -5 ], [ -4, 0, -4, 4, 4, -8, 8, -3, 4, 0, 0, 0, 0, -5, 1, -7, 0, -9, -7, 0, -1, -1, -4\
, -8, 0, -4 ], [ -2, 0, -2, 2, 2, -4, 4, -2, 3, 0, 0, 0, 0, -3, 1, -4, 0, -5, -4, 0, -1, -1, -2, -4, 0, -2 ], [ -1, 0, -1, 1, 1, -2, 2, -1, 1, 1, 0, 0, 0,\
 -1, 0, -2, 0, -2, -2, 0, 0, 0, -1, -2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 2, -2, -1, -1, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), r\
ec( GramQ := [ [ -72, -1, 17, 4, 25, 8, 2, 2, -1, 7, -4, -6, -6, 10, 0, -2, 2 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 17, -\
2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 25, -2, -10, -6, -16, -4,\
 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2\
, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 7, -2, -8, -8, \
-6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, \
-4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, \
2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, \
0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 0, -2, -2, -6, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 0, -2, -2, -6, 2, 0 ], [ 0, 0, 0, -\
8, -2, 0, -6, 0, 0 ], [ -2, 0, -2, -2, -8, 2, -6, 0, 0 ], [ -2, 0, -2, 0, 2, -4, -2, 2, 0 ], [ -6, 0, -6, -6, -6, -2, -12, 2, 0 ], [ 2, 0, 2, 0, 0, 2, 2, \
-4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 1, -1, -2, 0, 0, 0, -1, -2, -1, -1 ], [ -1, 0, 0, 0, -2, 0, -1, -1, -2, -1\
, 0, 0, 0, -1, -1, 0, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, \
0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, -1, 3, 3, -5, -1, 5, 1, 1\
, -1, 1, -1, -5, -2, -3, 1, -5, -5, -1, 2, 2, -4, -6, -1, -3 ], embQ := [ [ 1, 0, 1, -1, -1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 2, -2, -2, 2, 0, 0, 0, 0, -1, 0, -2\
, 0, 0, 1, 0, -2, -3, 1, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 2, -2, -2, 2, 0\
, 0, 0, 0, -1, 0, -2, 0, 0, 1, 0, -2, -1, 2, 0, -1, 2 ], [ 2, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, -2, -1, 1, 2, 2, 0 ], [ 0, 0, 0, \
2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, -1, 2, 2, -2, 2 ], [ 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 0, 0, 0, -1, 0, -2, 0, -1, 0, 0, -1, -1, 0, -\
1, 2, -1 ], [ 0, 0, 0, 0, 0, 4, -6, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0, 2, 3, 0, -3, -3, 3, 2, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0\
, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 4, 8, 11, 9, 8, 6, 3, 2, \
1 ], rlifts := [ [ -1, 0, -1, 1, 1, -1, -1, 2, 0, 0, 0, 0, 0, -2, 0, -1, 1, -1, -2, 0, 0, 0, -1, -2, -1, -1 ], [ -1, 0, -1, 1, 1, -1, -1, 2, 0, 0, 0, 0, 0\
, -2, 0, -1, -1, -2, -1, 0, 0, 0, -1, -1, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, -1, 1, 2, 0, 0, 0, 1, 2, 1, 1 ], [ -1, 0, 0, 0, -2, 0, -1, 1, -1, -\
2, 0, 0, 0, -1, -2, -1, -1 ], [ 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0 ], [ -1, 0, 0, 0, -2, 0, -1, -1, -2, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 0, -\
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1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, \
1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0\
 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -8, -11, -9, -8, -6, -3, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6,\
 -4, -7, -11, -9, -8, -6, -3, -2, -1 ], [ 6, 4, 8, 12, 9, 8, 6, 3, 2, 1 ], [ 6, 4, 8, 11, 10, 8, 6, 3, 2, 1 ], [ -6, -4, -8, -11, -9, -7, -6, -3, -2, -1 ]\
, [ -6, -4, -8, -11, -9, -8, -5, -3, -2, -1 ], [ 12, 8, 16, 22, 18, 16, 12, 7, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] \
], thegtilde := [ [ -5, 0, -6, 6, 6, -6, -6, 12, 0, 0, 0, 0, 0, -12, 0, -6, 0, -9, -9, 0, 0, 0, -6, -9, -3, -3 ], [ -4, 1, -4, 4, 4, -4, -4, 8, 0, 0, 0, 0\
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 [ -6, 0, -6, 6, 6, -6, -5, 12, 0, 0, 0, 0, 0, -12, 0, -6, 0, -9, -9, 0, 0, 0, -6, -9, -3, -3 ], [ -3, 0, -3, 3, 3, -3, -3, 7, 0, 0, 0, 0, 0, -7, 1, -3, 1\
, -5, -5, 0, -1, -1, -3, -5, -2, -2 ], [ -2, 0, -2, 2, 2, -2, -2, 4, 1, 0, 0, 0, 0, -5, 1, -2, 0, -4, -3, 0, -1, -1, -2, -3, -1, -1 ], [ -1, 0, -1, 1, 1, \
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0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -64, -4, -2, -7, -4, 3, 15, -3, 13, -7, 4, -2, -2, 4, 8, 8, -2 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, \
-2, -2, 0, 2, 2, -2 ], [ -2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -7, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0\
 ], [ -4, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 15, 2, 6, 6, 4,\
 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 13, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, \
2, -2, -2, 0 ], [ -7, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, \
-2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -\
2, 0, 0, 0, -4, 0, 0, 0 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, -\
2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -12, 0, -8, -2, -2, -12, 2, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -8, 2, -12, \
-2, -2, -12, 2, 0, 2 ], [ -2, 0, -2, -8, 0, -8, 2, 0, 0 ], [ -2, 0, -2, 0, -4, -4, 2, 0, 0 ], [ -12, 0, -12, -8, -4, -20, 4, 0, 2 ], [ 2, 0, 2, 2, 2, 4, -\
4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 0, 2, 0, 0, 2, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, -1, -1, -2, -1, -1, 0 ], [\
 -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, -1, -1, -1, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -\
1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl :\
= [ -3, -2, -1, 3, 3, -5, 1, 1, 1, 5, -1, 1, -1, -3, -2, -5, 1, -6, -4, -1, 0, 0, -5, -5, -2, -2 ], embQ := [ [ 1, 0, 1, -1, -1, 1, 0, 0, 0, -2, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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 -4, 2, 0, 2, -4, 0, 0, 0, -3, 0, -1, 0, -2, -3, 0, 2, 1, -1, -4, 2, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, \
-1 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 2, -4, 0, 0, 0, -3, 0, -1, 0, -2, -3, 0, 2, 3, 0, -4, 1, -2 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -1, 0, 0, 1, -2, -1, 3, -3 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 2, -4\
, 0, 0, 0, -3, 0, -1, 0, -3, -4, 0, 3, 3, -2, -5, 4, -5 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0\
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-2, 1 ] ], r := [ 6, 4, 8, 11, 9, 8, 6, 4, 2, 0 ], rlifts := [ [ -1, 0, -1, 1, 1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, -1, -1, -2, -1, -1, 0 \
], [ -1, 0, -1, 1, 1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, -1, -1, -1, -1, -1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2,\
 1, 1, 0 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -2, -1, 0, -1, -1, -2, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0 ], [ -1, 0, 0, 0, -1, 0, \
-2, 0, -2, -1, 0, -1, -1, -1, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0,\
 -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1,\
 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -8, -11, -9, -8, -6, -4, \
-2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -9, -8, -6, -4, -2, 0 ], [ 6, 4, 8, 12, 9, 8, 6, 4, 2, 0 ], [ 6, 4, 8, 11, 10, 8, 6, 4, 2, 0\
 ], [ -6, -4, -8, -11, -9, -7, -6, -4, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 12\
, 8, 16, 22, 18, 16, 12, 8, 4, 1 ] ], thegtilde := [ [ -5, 0, -6, 6, 6, -6, 0, 0, 0, 12, 0, 0, 0, -6, 0, -12, 0, -12, -6, 0, -6, -6, -9, -6, -6, 0 ], [ -4\
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 -8, 0, -8, -8, -13, -8, -8, 0 ], [ -11, 0, -11, 12, 11, -11, 0, 0, 0, 22, 0, 0, 0, -12, 1, -22, 0, -23, -11, 0, -12, -12, -18, -11, -11, 0 ], [ -9, 0, -9\
, 9, 10, -9, 0, 0, 0, 18, 0, 0, 0, -10, 1, -18, 0, -19, -9, 0, -10, -10, -15, -9, -9, 0 ], [ -8, 0, -8, 8, 8, -7, 0, 0, 0, 16, 0, 0, 0, -8, 0, -16, 0, -16\
, -8, 0, -8, -8, -12, -8, -8, 0 ], [ -6, 0, -6, 6, 6, -6, 1, 0, 0, 12, 0, 0, 0, -6, 0, -12, 0, -12, -6, 0, -6, -6, -10, -6, -6, 0 ], [ -4, 0, -4, 4, 4, -4\
, 0, 1, 0, 8, 0, 0, 0, -5, 1, -8, 0, -9, -4, 0, -5, -5, -8, -4, -4, 0 ], [ -2, 0, -2, 2, 2, -2, 0, 0, 1, 4, 0, 0, 0, -3, 1, -4, 0, -5, -2, 0, -3, -3, -3, \
-2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 1, 1, -1, 1, -1, 1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -88, -8, 8, -8, 12, 2, 9, -1, 9, -1, -1, -9, -8, 10, 6, 6, -2 ], [ -8, -4, -2, -4, -2, -3,\
 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -8, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4\
, -4, -2, 2, 2, 0 ], [ 12, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 2, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], \
[ 9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6, 4, -\
8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2,\
 0 ], [ -9, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -8, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4\
, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2,\
 -4, 2 ], [ -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 10, 0, -8, 4, 4, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ],\
 [ -4, 2, -8, 10, 0, -8, 4, 4, -2 ], [ 10, 0, 10, -20, 2, 16, -8, -8, 4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -8, 0, -8, 16, 2, -20, 10, 8, -4 ], [ 4, 0, 4\
, -8, 0, 10, -8, -2, 2 ], [ 4, 0, 4, -8, 0, 8, -2, -8, 4 ], [ -2, 0, -2, 4, 0, -4, 2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 1, 1, 0, \
-2, -2, -2, -1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, -1, 1, 1, -2, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, \
-1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0\
, 0 ] ], adjweyl := [ -3, -2, -1, 5, 1, -7, 3, 3, -1, 3, -1, 1, -1, -3, -2, -3, 1, -6, -6, -1, 4, 3, -6, -6, -3, -3 ], embQ := [ [ 1, 0, 1, -2, 0, 2, -1, \
-1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp :=\
 [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -4, 8, 0, 0, 0, 3, \
0, -1, 0, -1, 1, 0, -3, -2, -4, 3, -2, 1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0,\
 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0\
, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, \
2, 0, 0, 0, 0 ] ], r := [ 6, 4, 8, 11, 10, 9, 6, 4, 3, 1 ], rlifts := [ [ -1, 0, -1, 2, 0, -2, 1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -2, -1, 1, 1, -2, -\
1, -1, 0 ], [ -1, 0, -1, 2, 0, -2, 1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 1, 1, 0, -2, -2, -2, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, -1\
, -1, 0, 2, 2, 2, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 1, 1, 0, -2, -2, -2, -1 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, -1, -1, 2, 1, 1, 0 ], [ -1, 0, 0\
, 0, -1, 0, -1, 0, -2, -2, -1, 1, 1, -2, -1, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -\
2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1\
, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -4, -8, -11, -10, \
-9, -6, -4, -3, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -7, -11, -10, -9, -6, -4, -3, -1 ], [ 12, 8, 16, 23, 20, 18, 12, 8, 6, 2 ], [ 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0 ], [ -12, -8, -16, -22, -20, -17, -12, -8, -6, -2 ], [ 6, 4, 8, 11, 10, 9, 7, 4, 3, 1 ], [ 6, 4, 8, 11, 10, 9, 6, 5, 3, 1 ], [ -6, -4, \
-8, -11, -10, -9, -6, -4, -2, -1 ], [ 6, 4, 8, 11, 10, 9, 6, 4, 3, 2 ] ], thegtilde := [ [ -5, 0, -6, 12, 0, -12, 6, 6, -6, 6, 0, 0, 0, -6, 0, -6, 0, -12,\
 -12, 0, 6, 3, -12, -9, -9, -3 ], [ -4, 1, -4, 8, 0, -8, 4, 4, -4, 4, 0, 0, 0, -4, 0, -4, 0, -8, -8, 0, 4, 2, -8, -6, -6, -2 ], [ -8, 0, -7, 16, 0, -16, 8\
, 8, -8, 8, 0, 0, 0, -8, 0, -8, 0, -16, -16, 0, 8, 4, -16, -12, -12, -4 ], [ -11, 0, -11, 23, 0, -22, 11, 11, -11, 11, 0, 0, 0, -12, 1, -11, 0, -23, -22, \
1, 10, 4, -22, -17, -17, -6 ], [ -10, 0, -10, 20, 1, -20, 10, 10, -10, 10, 0, 0, 0, -11, 1, -10, 0, -21, -20, 0, 9, 4, -20, -15, -15, -5 ], [ -9, 0, -9, 1\
8, 0, -17, 9, 9, -9, 9, 0, 0, 0, -9, 0, -9, 0, -18, -18, -1, 9, 5, -18, -13, -13, -4 ], [ -6, 0, -6, 12, 0, -12, 7, 6, -6, 6, 0, 0, 0, -6, 0, -6, 0, -12, \
-12, 0, 6, 3, -12, -9, -9, -3 ], [ -4, 0, -4, 8, 0, -8, 4, 5, -4, 4, 0, 0, 0, -5, 1, -4, 0, -9, -8, 0, 3, 1, -8, -6, -6, -2 ], [ -3, 0, -3, 6, 0, -6, 3, 3\
, -2, 3, 0, 0, 0, -4, 1, -3, 0, -7, -6, 1, 2, 0, -6, -5, -5, -2 ], [ -1, 0, -1, 2, 0, -2, 1, 1, -1, 2, 0, 0, 0, -1, 0, -1, 0, -2, -2, 1, 1, 0, -2, -2, -2,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, \
-2, 0, -1, 0, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 1, 2, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 1, 1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0,\
 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -84, 3, 8, 0, 17, \
11, 10, -2, 6, 0, -2, -4, -4, 6, 1, -5, 8 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, \
-2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 17, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ]\
, [ 11, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2,\
 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 6, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2,\
 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -\
4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0\
, 0, -4, -2, 2 ], [ -5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [\
 [ -20, 0, 0, 4, 4, -4, 0, 2, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, 0, 0, 2, -8, 6, 0,\
 -2, -2 ], [ -4, 0, 0, 0, 6, -8, 2, 2, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 2, 0, 0, 0, -2, 2, 2, -4, 0 ], [ 2, 0, 0, 0, -2, 2, 0, 0, -4 ] ], Sigma := [\
 [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0\
, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, 1, 1, 5, -7, 1, 1, 5, 1, -1, 1, -1, -5, -2, -5, 1, -6, -4, -1, 0, 0, -4, -7\
, 2, -5 ], embQ := [ [ 1, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -8, 0, 0, 4, 0, 0, 0, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -2, -3, 0, 1, -1, -4, -1, -4, 3 ], [ 0, -4, 2, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, \
1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0,\
 0, -1, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, -3, 0, 2, 2, -4, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 8, 5, 10, 15, 12, 11, 8, 5, 2, 1 ], rlifts := [ [ -1, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0\
, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ], [ -1, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -1 ] ], r\
ootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ], [ 1, 0, 0, 0, 2, 0, 2,\
 0, 2, 1, 0, 1, 1, 1, 2, -1, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 \
], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -\
1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1\
", "A1" ], theg := [ [ -7, -5, -10, -15, -12, -11, -8, -5, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0 ], [ 16, 10, 20, 30, 25, 22, 16, 10, 4, 2 ], [ -16, -10, -20, -30, -24, -21, -16, -10, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0 ], [ 16, 10, 20, 30, 24, 22, 16, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -7, 0, 0, 0, 16, -16, 0, 0, 16, 0,\
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, 5, -7 ], [ -10, 0, 1, 0, 20, -20, 0, 0, 20, 0, 0, 0, 0, -20, 0, -20, 0, -20, -10, 0, -10, -10, -10, -20, 10, -16 ], [ -15, 0, 0, 1, 30, -30, 0, 0, 30, 0\
, 0, 0, 0, -31, 1, -30, 0, -31, -15, 0, -16, -16, -15, -30, 15, -23 ], [ -12, 0, 0, 0, 25, -24, 0, 0, 24, 0, 0, 0, 0, -25, 1, -24, 0, -25, -12, 0, -13, -1\
3, -12, -24, 12, -19 ], [ -11, 0, 0, 0, 22, -21, 0, 0, 22, 0, 0, 0, 0, -22, 0, -22, 0, -22, -11, 0, -11, -11, -11, -22, 11, -16 ], [ -8, 0, 0, 0, 16, -16,\
 1, 0, 16, 0, 0, 0, 0, -16, 0, -16, 0, -16, -8, 0, -8, -8, -8, -16, 8, -12 ], [ -5, 0, 0, 0, 10, -10, 0, 1, 10, 0, 0, 0, 0, -11, 1, -10, 0, -11, -5, 0, -6\
, -6, -5, -10, 5, -8 ], [ -2, 0, 0, 0, 4, -4, 0, 0, 5, 0, 0, 0, 0, -5, 1, -4, 0, -5, -2, 0, -3, -3, -2, -4, 2, -4 ], [ -1, 0, 0, 0, 2, -2, 0, 0, 2, 1, 0, \
0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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), rec( GramQ := [ [ -12, 2, 0, 3, -5, 4, 1, 2, 1, 0, 4, 4, 4, 2, 2, 2, 0 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 0, -2, -12\
, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -5, -2, -10, -6, -16, -4, 4, -2\
, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, \
0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4,\
 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0\
, 0, 0, 0 ], [ 4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4,\
 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, \
2, -4 ] ], GramQperp := [ [ -8, 0, 4, -2, 4, 0, 0, 0, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 6, -4, 0, 0, 0, -2 ], [ -2, 0, 6, -8, 6, 0, 0, 0, 2\
 ], [ 4, 0, -4, 6, -8, 2, 0, 0, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 2, 0, -2, 2, -2, 0\
, 0, 2, -4 ] ], Sigma := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, 3, -1, 3, -3, 1, 1, 1, 3, -1, 1, -1, -1, -2, -2, 1, -3, -2,\
 -1, 0, 0, -4, -3, 0, -2 ], embQ := [ [ 1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ \
0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, \
0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0\
, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 4, 2, 4, 7, 5, 4, 3, 2, 1, 0 ], rlifts := [ [ -1, 0, 1, -1, 1, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, 0 ], [ -1, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ] ], \
rootsQ := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1,\
 -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ -\
1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -\
1, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, \
-1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], \
theg := [ [ -3, -2, -4, -7, -5, -4, -3, -2, -1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 7, 5, 4, 3, 2, 1, 0 ], [ -4, -2, -4, -6, -5, -4, -3, -2,\
 -1, 0 ], [ 4, 2, 4, 7, 6, 4, 3, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 2, 4, 7, 5, 4, 3, 2, 1, 1 ] ], thegtilde := [ [ -3, 0, 4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -4, -4, -4,\
 0, 0, 0 ], [ -2, 1, 2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -2, -2, -2, 0, 0, 0 ], [ -4, 0, 5, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, \
0, -2, 0, 0, -4, -4, -4, 0, 0, 0 ], [ -7, 0, 7, -6, 7, 0, 0, 0, 0, 7, 0, 0, 0, -1, 1, -4, 0, -4, 0, 0, -8, -8, -7, 0, 0, 0 ], [ -5, 0, 5, -5, 6, 0, 0, 0, \
0, 5, 0, 0, 0, -1, 1, -3, 0, -3, 0, 0, -6, -6, -5, 0, 0, 0 ], [ -4, 0, 4, -4, 4, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -4, -4, -4, 0, 0, 0 ], [ -\
3, 0, 3, -3, 3, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -3, -3, -3, 0, 0, 0 ], [ -2, 0, 2, -2, 2, 0, 0, 1, 0, 2, 0, 0, 0, -1, 1, -1, 0, -2, 0, 0, -\
3, -3, -2, 0, 0, 0 ], [ -1, 0, 1, -1, 1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, -2, -2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ \
[ -20, 4, 10, 8, 16, 6, -5, 3, -7, 7, -3, -1, 0, 4, -4, -6, 4 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 10, -2, -12, -8, -10, \
-5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 8, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 16, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4,\
 2, 2, -4, 4, 4, -2 ], [ 6, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, \
-1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 7, -2, -8, -8, -6, -4, 6, -4, 6\
, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0,\
 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2\
, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4\
 ] ], GramQperp := [ [ -8, 0, 4, 2, 0, 0, -4, 4, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 2, 0, 0, 4, -4, -2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ \
0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -4, 0, 4, 0, 0, 2, -8, 6, 2 ], [ 4, 0, -4, 0, 0, 0, 6, -8, 0 ], [ 2, 0, -2, 0, 0, 0, 2, 0,\
 -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1\
, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, 3, 1, 1, -3, -1, 3, 3, -1, -1, 1, -1, -3, -2, -1, 1, -2, -2, -1, 2, \
1, -2, -4, 1, -3 ], embQ := [ [ 1, 0, -1, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -\
4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, \
-2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, \
1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, \
0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 4, 2, 4, 7, 6, 5, 4, 2, 1, 1 ], rlifts := [ [ -1, 0, 1, 0, 0, 0, -1, 1, 1, -\
1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1 ] ], rootsQ :\
= [ [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, \
-1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, \
0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0\
, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := \
[ [ -3, -2, -4, -7, -6, -5, -4, -2, -1, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 7, 6, 5, 4, 2, 1, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -4, -2, -4, -7, -6, -5, -3, -2, -1, -1 ], [ 4, 2, 4, 7, 6, 5, 4, 3, 1, 1 ], [ 4, 2, 4, 7, \
6, 5, 4, 2, 2, 1 ], [ -4, -2, -4, -7, -6, -5, -4, -2, -1, 0 ] ], thegtilde := [ [ -3, 0, 4, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0\
, -2, 2, -2 ], [ -2, 1, 2, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1 ], [ -4, 0, 5, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, -4, 0,\
 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2 ], [ -7, 0, 7, 1, 0, 0, -7, 7, 7, -7, 0, 0, 0, -8, 1, 0, 0, -1, 0, 1, -1, -5, 0, -4, 3, -4 ], [ -6, 0, 6, 0, 1, 0, -6,\
 6, 6, -6, 0, 0, 0, -7, 1, 0, 0, -1, 0, 0, -1, -4, 0, -3, 3, -3 ], [ -5, 0, 5, 0, 0, 1, -5, 5, 5, -5, 0, 0, 0, -5, 0, 0, 0, 0, 0, -1, 0, -2, 0, -2, 3, -2 \
], [ -4, 0, 4, 0, 0, 0, -3, 4, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2 ], [ -2, 0, 2, 0, 0, 0, -2, 3, 2, -2, 0, 0, 0, -3, 1, 0, 0, -1, 0\
, 0, -1, -2, 0, -1, 1, -1 ], [ -1, 0, 1, 0, 0, 0, -1, 1, 2, -1, 0, 0, 0, -2, 1, 0, 0, -1, 0, 1, -1, -2, 0, -1, 0, -1 ], [ -1, 0, 1, 0, 0, 0, -1, 1, 1, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, -2, 0, -1, 0, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 1, 2, 0, 1, 1, 1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1 ] ] ), rec( GramQ := [ [ -12, -3, 1, -4, 3, 0, 2, 0, 3, -1, 0, -4, -2, 4, 2, 2, 0 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ],\
 [ 1, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 3, -2, -10, -6, -\
16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 0, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2\
, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -\
8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2\
, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], \
[ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0,\
 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 4, 6, -4, -2, 2, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, -2, 4, 2, -2, 0, 0 ], [ 6, 0, -2, \
-8, 6, 2, -2, 0, 0 ], [ -4, 0, 4, 6, -8, 0, 2, 0, 0 ], [ -2, 0, 2, 2, 0, -4, 2, 0, 0 ], [ 2, 0, -2, -2, 2, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], \
[ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, -1, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0\
, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1,\
 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, -2, 3, 3, -1, -5, 3, 1, 1, 1, -1, 1, -1, -1, \
-2, -1, 1, -3, -3, -1, 4, 2, -4, -4, -1, -3 ], embQ := [ [ 1, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, -1, \
-2, 0, 0, -1, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, -2, -2, 0, 1, 2, -1, -2, -2, 0 ], [ 2, 0, 2, -4, 2, -2, 4, -2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 2, -2 ], [ 0, 0, 0, 2, -4, 4, -4, 2\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, -1, 2, 2, -2, 2 ], [ 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ], [ 0\
, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -\
2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, 2, 4, 7, 7, 6, 4, 3, 2, 1 ], rlifts := [ \
[ -1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, -1, -1, -1 ], [ -1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, \
0, 1, 0, -1, 0, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, -1, -1, -1 ]\
, [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1,\
 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 0 ], [ -1, 0, 0, \
0, 0, 0, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1\
", "A1", "A1", "A1", "A1" ], theg := [ [ -3, -2, -4, -7, -7, -6, -4, -3, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 7, 7, 6, 4, 3, 2, 1 ], [ 4\
, 2, 4, 8, 7, 6, 4, 3, 2, 1 ], [ -4, -2, -4, -7, -6, -6, -4, -3, -2, -1 ], [ -4, -2, -4, -7, -7, -5, -4, -3, -2, -1 ], [ 4, 2, 4, 7, 7, 6, 5, 3, 2, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -3, 0, 4, 4, -4, -4, 4, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 0, -4, -2, -2, -2 ], [ -2, 1, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 0, -2, -1, -1, -1 ], [ -4, 0,\
 5, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 0, -4, -2, -2, -2 ], [ -7, 0, 7, 8, -7, -7, 7, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -4, -4, 0, 6, \
-1, -7, -4, -4, -4 ], [ -7, 0, 7, 7, -6, -7, 7, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -4, -4, 0, 6, -1, -7, -4, -4, -4 ], [ -6, 0, 6, 6, -6, -5, 6, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, -6, -3, -3, -3 ], [ -4, 0, 4, 4, -4, -4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 0, -4, -2, -2, -2 ], [ -3, 0, 3,\
 3, -3, -3, 3, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, -2, 0, 2, -1, -3, -2, -2, -2 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, -2, -1, 0, 1, -\
1, -2, -1, -1, -1 ], [ -1, 0, 1, 1, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 1, 3, 0, 0, -1, 1, 1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -1, -1, 0, -2, -2, 0, -1, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0,\
 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -20, -5, -3, -3, -8, -5, 3, 0, 3, -3, 3, 0, 0, 0, 5, 8, -7 ], [ -5, -4, -2\
, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -3, -4, -8, -12, -6, -5, 6, -5,\
 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -8, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -\
2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, \
6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -\
2, 0, -2, -2, 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, \
-4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0,\
 0, 0, -2, -4, 2 ], [ -7, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 4, -4, 6, -2, 2, 0, 0, 0 ], [ 4, -8, 6, -4, 2, -2, \
0, 0, 0 ], [ -4, 6, -8, 6, -2, 2, 0, 0, 0 ], [ 6, -4, 6, -8, 4, -2, 0, 0, 0 ], [ -2, 2, -2, 4, -4, 2, 0, 0, 0 ], [ 2, -2, 2, -2, 2, -4, 2, 0, 0 ], [ 0, 0,\
 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1,\
 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := \
[ -3, 0, -1, 3, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 2, 2, -2, -3, -3, 0 ], embQ := [ [ 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4\
, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 0, -3, -3, 0, -1 ], [ 0, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, -1, -2, 3, 2, 1, 1\
 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 2, -2, -3, -1, -1 ], [ 2, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3, \
3, 0, -2, -1, 2, 3, 1, 1 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ]\
, r := [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ -1, 1, -1, 1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ -1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1 \
], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1\
, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0\
, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0\
, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 0, 0, -1, -1, -1, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ], [ -1\
, 0, 0, -1, -1, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 2, 1, 0, 0, 0, 0, 0 ], [ -1, 0, -1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 0, 1, -1, 1, -1\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -\
1, 1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ -1, 1, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -\
1, 0, 0, -2, 1 ], [ -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, \
0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1 ] ] ), rec( GramQ := [ [ -62, -3, 13, -1, 18, 6, 2, 2, 2, 4, -2, -6, -6, 11, 2, 0, 2 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2\
, -2 ], [ 13, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 18, -2, -\
10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 6, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6\
, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ \
4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, \
-2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 11, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0\
, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0\
, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 4, 0, 2, 4, -8, 6, 2, 0 ], [ 4, -8, 2, 0, -4, 8, -6, -2, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ \
2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 4, -4, 0, 2, -8, 10, -6, -2, 0 ], [ -8, 8, 0, 0, 10, -20, 14, 4, 0 ], [ 6, -6, 0, 0, -6, 14, -12, -2, 0 ], [ 2, -2, 0, 0, \
-2, 4, -2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 1, 1, -1, -2, -1, -1 ], [ -1, 0, 0, 0, -1, 1, -1,\
 0, -2, -2, 0, 0, 0, -3, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 \
], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -3, 0, 1, 1, 3, -7, 3,\
 3, 1, 1, -1, 1, -1, -3, -2, -2, 1, -5, -5, -1, 3, 3, -6, -6, -1, -4 ], embQ := [ [ 1, -1, 0, 0, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0\
, 0, -2, 0, -1, 0, 0, -1, -2, 0, -1, 0, 1 ], [ 0, -4, 2, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1 ], [ 0, 2, -4, 2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [\
 0, 0, 0, 2, -4, 2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, -3, 1 ], [ 0, 0, 0, 0, 2, -4, 6, -8, 4, 0, 0, 0, 0, 1, 0, -3, 0, -2, 0, 0, -1,\
 -1, 0, -2, 3, -2 ], [ 0, 0, 0, 0, 0, 2, -6, 6, -2, 0, 0, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0,\
 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 3, 7, 11, 9, 8, 5\
, 3, 2, 1 ], rlifts := [ [ -1, 1, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 0, -3, -1, 0, -1 ], [ -1, 1, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0\
, 0, -1, -1, 0, 0, -1, -1, 0, 1, 1, -1, -2, -1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, -1, -1, 1, 2, 1, 1 ], [ -1, 0, 0, 0, -1, -1, 0, 0, \
-1, -1, 0, 1, 1, -1, -2, -1, -1 ], [ 1, 0, 0, 0, 1, -1, 1, 0, 2, 2, 0, 0, 0, 3, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 0, -3, -1, 0, -1 ], \
[ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0\
, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2\
, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0\
, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ -5, -3, -7, -11, -9, -8, -5, -3, -2, -1 ], [ 6, 4, 7, 11, 9, 8, 5, 3, 2, 1 ]\
, [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 7, 11, 10, 8, 5, 3, 2, 1 ], [ -12, -6, -14, -22, -18, -15, -10, -6, -4, -2 ]\
, [ 6, 3, 7, 11, 9, 8, 6, 3, 2, 1 ], [ 6, 3, 7, 11, 9, 8, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde :=\
 [ [ -5, 6, 0, 0, 6, -12, 6, 6, 0, 0, 0, 0, 0, -6, 0, -3, 0, -9, -9, 0, 3, 3, -12, -9, -3, -6 ], [ -3, 4, 0, 0, 3, -6, 3, 3, 0, 0, 0, 0, 0, -3, 1, -2, 0, \
-5, -5, 0, 1, 1, -7, -4, -1, -3 ], [ -7, 7, 1, 0, 7, -14, 7, 7, 0, 0, 0, 0, 0, -7, 1, -4, 0, -11, -11, 0, 3, 3, -15, -10, -3, -7 ], [ -11, 11, 0, 1, 11, -\
22, 11, 11, 0, 0, 0, 0, 0, -12, 2, -6, 0, -18, -17, 0, 4, 4, -23, -16, -5, -11 ], [ -9, 9, 0, 0, 10, -18, 9, 9, 0, 0, 0, 0, 0, -10, 2, -5, 0, -15, -14, 0,\
 3, 3, -19, -13, -4, -9 ], [ -8, 8, 0, 0, 8, -15, 8, 8, 0, 0, 0, 0, 0, -8, 0, -4, 0, -12, -12, 0, 4, 4, -16, -12, -4, -8 ], [ -5, 5, 0, 0, 5, -10, 6, 5, 0\
, 0, 0, 0, 0, -5, 1, -3, 0, -8, -8, 0, 2, 2, -11, -7, -2, -5 ], [ -3, 3, 0, 0, 3, -6, 3, 4, 0, 0, 0, 0, 0, -4, 2, -2, 0, -6, -5, 0, 0, 0, -7, -4, -1, -3 ]\
, [ -2, 2, 0, 0, 2, -4, 2, 2, 1, 0, 0, 0, 0, -3, 1, -1, 0, -4, -3, 0, 0, 0, -4, -3, -1, -2 ], [ -1, 1, 0, 0, 1, -2, 1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 0, -2,\
 -2, 0, 0, 0, -3, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1\
, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -\
44, 4, -3, -3, 3, 7, 10, -4, 8, -4, 0, -2, 0, -1, 0, -4, 8 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5,\
 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 3, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2,\
 2, -4, 4, 4, -2 ], [ 7, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1\
, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 8, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -2, -8, -8, -6, -4, 6, -4, 6, \
-8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 \
], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ -1, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0\
, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] \
], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -40, 14, 12, 0, -12, 0, 0, 18 ], [ 0, 14, -8, -2, 0, 4, 0, 0, -6 ], [ 2, 12, -2, -8, 2, 4, 0, 0, -6\
 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -12, 4, 4, 2, -8, 2, 0, 6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 18, -6, -6, 0, \
6, 0, 2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 1, -2, -1, -2, -1, 1, -1, -2, 0, -1, 1, -2 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 1, -1\
 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, \
1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -8, 3, 3, 1, -5, 1, 1, 3, 3, -1, 1, -1, -3, -2, -4, \
1, -5, -3, -1, 1, -1, -2, -5, 2, -5 ], embQ := [ [ 0, 3, -1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1,\
 -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 6, -12, 0, 0, 0, -3, 0, 3, 0, 3, 0, 0, 3, 2, 7, -3, 8, -4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2,\
 0, -2, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0,\
 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, \
1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 8, 7, 11, 16, 14, 12, 9, 6, 3, 1 ], rlifts := [ [ \
0, -3, 1, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 1, -1 ], [ 0, -3, 1, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, -1, 1, -2, -1, -2, -1\
, 1, -1, -2, 0, -1, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, -1, 2, 1, 2, 1, -1, 1, 2, 0, 1, -1, 2 ], [ -1, 0, 0, 0, -1, 1, -2, -1, -2, -1, 1, -1, -2, 0, -\
1, 1, -2 ], [ 1, 0, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, 0, 1, -1, 1 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1,\
 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ]\
, [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -\
1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstype\
Q := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -24, -20, -33, -48, -42, -36, -27, -18, -9, -3 ], [ 8, 7, 12, 1\
6, 14, 12, 9, 6, 3, 1 ], [ 8, 7, 11, 17, 14, 12, 9, 6, 3, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -7, -11, -16, -14, -11, -9, -6, -3, -1 ], [ 0, 0, 0\
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1, -24, 8, 8, 0, -8, 0, 0, 8, 8, 0, 0, 0, -8, 0, -12, 0, -12, -4, 0, -4, -12, 0, -8, 8, -12 ], [ 0, -20, 7, 7, 0, -7, 0, 0, 7, 7, 0, 0, 0, -7, -1, -10, 1,\
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-1, -20, 2, -21, -6, -2, -7, -21, 0, -14, 14, -20 ], [ 0, -36, 12, 12, 0, -11, 0, 0, 12, 12, 0, 0, 0, -12, 0, -18, 0, -18, -6, 0, -6, -18, 0, -12, 12, -18\
 ], [ 0, -27, 9, 9, 0, -9, 1, 0, 9, 9, 0, 0, 0, -9, -1, -13, 1, -13, -4, -1, -4, -13, 0, -9, 9, -13 ], [ 0, -18, 6, 6, 0, -6, 0, 1, 6, 6, 0, 0, 0, -7, -1,\
 -8, 2, -9, -2, -2, -3, -9, 0, -6, 6, -8 ], [ 0, -9, 3, 3, 0, -3, 0, 0, 4, 3, 0, 0, 0, -4, 0, -4, 1, -5, -1, -1, -2, -5, 0, -3, 3, -4 ], [ 0, -3, 1, 1, 0,\
 -1, 0, 0, 1, 2, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, \
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 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, -1, 1, -2, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 2, 1, 1, -2, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -194, 6, 13, -1, 29, 18, 9, -2, 7, 3, -5, -8, -6, 10, -3, -12, 17 ], [ 6, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2,\
 -2, 0, 2, 2, -2 ], [ 13, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ],\
 [ 29, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 18, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 9, 2, 6, 6, 4, 2,\
 -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -\
2, -2, 0 ], [ 3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -5, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, \
-4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, \
0, 0, 0, -4, 0, 0, 0 ], [ -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -12, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 17, -\
2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -40, 26, 0, 24, -48, 12, 12, 18 ], [ 0, 26, -20\
, 2, -16, 32, -8, -8, -12 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 24, -16, 2, -20, 34, -8, -8, -12 ], [ 0, -48, 32, 0, 34, -68, 18, 16, 24 ], [ 0, 12, -8,\
 0, -8, 18, -8, -2, -6 ], [ 0, 12, -8, 0, -8, 16, -2, -8, -4 ], [ 0, 18, -12, 0, -12, 24, -6, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2,\
 0, 0, -1, -2, -3, 2, -4 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, 2, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0,\
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1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -8, 5, 1, 5, -11, 3, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 2, 0, -6, -8, 4, -9 ], embQ := [ [ 0, 3, -2, 0, -2\
, 4, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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mbQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 6, -12, 0, 0, 0, -3, 0,\
 3, 0, 3, 0, 0, 3, 2, 7, -3, 8, -4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0,\
 0, 0, 0, 2, -4, 2, 0, 8, -16, 0, 0, 0, -5, 0, 3, 0, 2, -2, 0, 5, 5, 6, -6, 9, -6 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, \
-2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, \
0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 13, 10, 17, 26, 22, 20, 14, 9, 5, 2 ], rlifts := [ [ 0, -3, 2, 0, 2, -4, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2\
, 0, -3, -2, 0, 0, -1, -2, -3, 2, -4 ], [ 0, -3, 2, 0, 2, -4, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, 2, -3 ] ], rootsQ := [ [ 1, 0, \
0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 2, 3, -2, 4 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -3, 2, -4 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 1, 2\
, 2, -2, 3 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, 2, -3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, \
1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -\
1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, \
1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ \
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -39, -29, -51, -78, -66, -60, -42, -27, -15, -6 ], [ 26, 20, 35, 52, 44, 40, 28, 18, 10, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0 ], [ 26, 20, 34, 52, 45, 40, 28, 18, 10, 4 ], [ -52, -40, -68, -104, -88, -79, -56, -36, -20, -8 ], [ 13, 10, 17, 26, 22, 20, 15, 9, 5, 2 ], [ 13, \
10, 17, 26, 22, 20, 14, 10, 5, 2 ], [ 13, 10, 17, 26, 22, 20, 14, 9, 6, 2 ], [ 13, 10, 17, 26, 22, 20, 14, 9, 5, 3 ] ], thegtilde := [ [ 1, -39, 26, 0, 26\
, -52, 13, 13, 13, 13, 0, 0, 0, -26, 0, -26, 0, -39, -26, 0, 0, -13, -26, -33, 26, -46 ], [ 0, -29, 20, 0, 20, -40, 10, 10, 10, 10, 0, 0, 0, -20, 0, -20, \
0, -30, -20, 0, 0, -10, -20, -25, 20, -35 ], [ 0, -51, 35, 0, 34, -68, 17, 17, 17, 17, 0, 0, 0, -34, 0, -34, 0, -51, -34, 0, 0, -17, -34, -43, 34, -60 ], \
[ 0, -78, 52, 1, 52, -104, 26, 26, 26, 26, 0, 0, 0, -53, 1, -52, 0, -79, -52, 0, -1, -27, -52, -66, 52, -92 ], [ 0, -66, 44, 0, 45, -88, 22, 22, 22, 22, 0\
, 0, 0, -45, 1, -44, 0, -67, -44, 0, -1, -23, -44, -56, 44, -78 ], [ 0, -60, 40, 0, 40, -79, 20, 20, 20, 20, 0, 0, 0, -40, 0, -40, 0, -60, -40, 0, 0, -20,\
 -40, -50, 40, -70 ], [ 0, -42, 28, 0, 28, -56, 15, 14, 14, 14, 0, 0, 0, -28, 0, -28, 0, -42, -28, 0, 0, -14, -28, -36, 28, -50 ], [ 0, -27, 18, 0, 18, -3\
6, 9, 10, 9, 9, 0, 0, 0, -19, 1, -18, 0, -28, -18, 0, -1, -10, -18, -23, 18, -32 ], [ 0, -15, 10, 0, 10, -20, 5, 5, 6, 5, 0, 0, 0, -11, 1, -10, 0, -16, -1\
0, 0, -1, -6, -10, -14, 10, -19 ], [ 0, -6, 4, 0, 4, -8, 2, 2, 2, 3, 0, 0, 0, -4, 0, -4, 0, -6, -4, 0, 0, -2, -4, -6, 4, -8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 1 ], [ 0, 0, 0,\
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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -100, 4, 9, 0, 18, 13, 10, -2, 7, 1, -2, -4, -4, 6, 0, -6\
, 10 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 9, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -1\
2, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 18, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 13, -3, -5, -5, -4, -6, 2, -2, 2,\
 -4, 0, -2, -2, -2, 2, 2, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, \
0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, \
-2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0\
, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2\
, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0\
, -20, 2, 0, 16, -16, 0, 8, 12 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 16, 0, 2, -20, 18, 0, -8, -12 ], [ 0, -16, 0, 0, 18\
, -20, 2, 8, 12 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 8, 0, 0, -8, 8, 2, -8, -4 ], [ 0, 12, 0, 0, -12, 12, 0, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2,\
 0, -2, 0, -3, -2, 0, -1, -1, -1, -2, 1, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2\
, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1\
, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 1, 1, 5, -7, 1, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1, -7, -5, -1, 0, 0, -4, -7, 2, -6 ], embQ := \
[ [ 0, 2, 0, 0, -2, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8,\
 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, \
-4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3,\
 -6, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1\
, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0,\
 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 10, 8, 14, 20, 16, 14, 10, 6, 3, 1 ], rlifts := [ [ 0, -2, 0, 0, 2, -2, 0, 1, 1, 1, 0, 0, 0, \
-2, 0, -2, 0, -3, -2, 0, -1, -1, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 2, -2, 0, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ] ], rootsQ :=\
 [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 1, 1, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -1, -2, 1, -2 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1\
, 0, 1, 1, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -1, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, \
2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1\
, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" \
], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -20, -15, -28, -40, -32, -28, -20, -12, -6, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0 ], [ 20, 16, 28, 40, 33, 28, 20, 12, 6, 2 ], [ -20, -16, -28, -40, -32, -27, -20, -12, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 10, 8, 14, \
20, 16, 14, 10, 7, 3, 1 ], [ 10, 8, 14, 20, 16, 14, 10, 6, 4, 1 ], [ 10, 8, 14, 20, 16, 14, 10, 6, 3, 2 ] ], thegtilde := [ [ 1, -20, 0, 0, 20, -20, 0, 10\
, 10, 10, 0, 0, 0, -20, 0, -20, 0, -25, -15, 0, -10, -10, -10, -20, 10, -20 ], [ 0, -15, 0, 0, 16, -16, 0, 8, 8, 8, 0, 0, 0, -16, 0, -16, 0, -20, -12, 0, \
-8, -8, -8, -16, 8, -16 ], [ 0, -28, 1, 0, 28, -28, 0, 14, 14, 14, 0, 0, 0, -28, 0, -28, 0, -35, -21, 0, -14, -14, -14, -28, 14, -28 ], [ 0, -40, 0, 1, 40\
, -40, 0, 20, 20, 20, 0, 0, 0, -41, 1, -40, 0, -52, -31, 0, -21, -21, -20, -40, 20, -40 ], [ 0, -32, 0, 0, 33, -32, 0, 16, 16, 16, 0, 0, 0, -33, 1, -32, 0\
, -42, -25, 0, -17, -17, -16, -32, 16, -32 ], [ 0, -28, 0, 0, 28, -27, 0, 14, 14, 14, 0, 0, 0, -28, 0, -28, 0, -35, -21, 0, -14, -14, -14, -28, 14, -28 ],\
 [ 0, -20, 0, 0, 20, -20, 1, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -26, -16, 0, -10, -10, -10, -20, 10, -20 ], [ 0, -12, 0, 0, 12, -12, 0, 7, 6, 6, 0, 0, 0\
, -13, 1, -12, 0, -17, -10, 0, -7, -7, -6, -12, 6, -12 ], [ 0, -6, 0, 0, 6, -6, 0, 3, 4, 3, 0, 0, 0, -7, 1, -6, 0, -9, -5, 0, -4, -4, -3, -6, 3, -6 ], [ 0\
, -2, 0, 0, 2, -2, 0, 1, 1, 2, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, -1, -1, -1, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -2, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -110, -3, 0, -12, 5, 7, 17, -5, 17, -7, 1, -7, -6, 6, 6, 2, 6 ], [ -3, -4, -2, -4, -2, -3, 2, -1, \
2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 0, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -12, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -\
2, 2, 2, 0 ], [ 5, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 7, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 17, 2,\
 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 17, 2, 6, 8, 6, 2, -6, 4, -8, 6, \
0, 2, 2, 2, -2, -2, 0 ], [ -7, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [\
 -7, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2,\
 -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ]\
, [ 6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, -4, -4, -12, 4, 0, 2 ], [ 0, 2, \
-4, 2, 0, 0, 0, 0, 0 ], [ 2, -4, 2, -12, -4, -20, 6, 0, 2 ], [ 0, -4, 0, -4, -8, -16, 6, 0, 2 ], [ 0, -12, 0, -20, -16, -52, 16, 0, 6 ], [ 0, 4, 0, 6, 6, \
16, -8, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 2, 0, 2, 2, 6, -2, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, 0, -\
2 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, 0, -2, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, \
0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjwe\
yl := [ -1, -6, 1, 3, 3, -9, 5, 1, 1, 5, -1, 1, -1, -3, -2, -5, 1, -8, -6, -1, 2, 1, -6, -7, 0, -6 ], embQ := [ [ 0, 2, 0, -1, -1, 3, -2, 0, 0, -2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1,\
 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0\
, 0, -1, 0, 1, 2, 0, -2, 5, -4 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 3, 2, 1, -2, 1, -2 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 6, -\
12, 0, 0, 0, -5, 0, 1, 0, -1, -4, 0, 5, 5, 2, -7, 8, -7 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0\
, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, \
1, -2, 1 ] ], r := [ 10, 8, 14, 20, 17, 15, 10, 7, 4, 1 ], rlifts := [ [ 0, -2, 0, 1, 1, -3, 2, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, \
0, -2 ], [ 0, -2, 0, 1, 1, -3, 2, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, 0, -2, -2, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 2, 0, 3, 2, 0, 0, 1,\
 2, 2, 0, 2 ], [ -1, 0, 0, 0, -1, 0, -2, 0, -3, -2, 0, 0, -1, -2, -2, 0, -2 ], [ 1, 0, 0, 0, 1, 0, 2, 0, 3, 2, 0, 0, 0, 2, 2, 0, 2 ], [ -1, 0, 0, 0, -1, 0\
, -2, 0, -3, -2, 0, 0, 0, -2, -2, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0,\
 -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1,\
 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 -20, -15, -28, -40, -34, -30, -20, -14, -8, -2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 10, 8, 14, 21, 17, 15, 10, 7, 4, 1 ], [ 10, 8, 14, 20, 18, 15, 10, \
7, 4, 1 ], [ -30, -24, -42, -60, -51, -44, -30, -21, -12, -3 ], [ 20, 16, 28, 40, 34, 30, 21, 14, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0 ], [ 20, 16, 28, 40, 34, 30, 20, 14, 8, 3 ] ], thegtilde := [ [ 1, -20, 0, 10, 10, -30, 20, 0, 0, 20, 0, 0, 0, -10, 0, -20, 0, -30, -20, \
0, 0, -5, -20, -20, 0, -20 ], [ 0, -15, 0, 8, 8, -24, 16, 0, 0, 16, 0, 0, 0, -8, 0, -16, 0, -24, -16, 0, 0, -4, -16, -16, 0, -16 ], [ 0, -28, 1, 14, 14, -\
42, 28, 0, 0, 28, 0, 0, 0, -14, 0, -28, 0, -42, -28, 0, 0, -8, -28, -28, 0, -28 ], [ 0, -40, 0, 21, 20, -60, 40, 0, 0, 40, 0, 0, 0, -21, 1, -40, 0, -61, -\
40, 0, -1, -11, -40, -40, 0, -40 ], [ 0, -34, 0, 17, 18, -51, 34, 0, 0, 34, 0, 0, 0, -18, 1, -34, 0, -52, -34, 0, -1, -10, -34, -34, 0, -34 ], [ 0, -30, 0\
, 15, 15, -44, 30, 0, 0, 30, 0, 0, 0, -15, 0, -30, 0, -45, -30, 0, 0, -9, -30, -30, 0, -30 ], [ 0, -20, 0, 10, 10, -30, 21, 0, 0, 20, 0, 0, 0, -10, 0, -20\
, 0, -30, -20, 0, 0, -5, -20, -20, 0, -20 ], [ 0, -14, 0, 7, 7, -21, 14, 1, 0, 14, 0, 0, 0, -8, 1, -14, 0, -22, -14, 0, -1, -4, -14, -14, 0, -14 ], [ 0, -\
8, 0, 4, 4, -12, 8, 0, 1, 8, 0, 0, 0, -5, 1, -8, 0, -13, -8, 0, -1, -3, -8, -8, 0, -8 ], [ 0, -2, 0, 1, 1, -3, 2, 0, 0, 3, 0, 0, 0, -1, 0, -2, 0, -3, -2, \
0, 0, -1, -2, -2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -140\
, -1, 10, -7, 26, 9, 11, -4, 9, 0, -6, -12, -10, 8, 0, -6, 10 ], [ -1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 10, -2, -12, -8, -10,\
 -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -7, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 26, -2, -10, -6, -16, -4, 4, -2, 6, -6, \
4, 2, 2, -4, 4, 4, -2 ], [ 9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -\
4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4,\
 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -6, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -12, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0,\
 0, 0 ], [ -10, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2\
, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, \
2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 2, 16, 0, -24, 8, 12, 4 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 16, 2, -20, 2, 24, -8,\
 -12, -4 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -24, 0, 24, 2, -40, 14, 18, 6 ], [ 0, 8, 0, -8, 0, 14, -8, -4, -2 ], [ 0, 12, 0, -12, 0, 18, -4, -12, -2 \
], [ 0, 4, 0, -4, 0, 6, -2, -2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 1, -2, -2, 0, 1, 0, -1, -3, 0, -3 ], [ -1, 0, 0, 0, -2, 0, -2, -1, -3, -2, 0,\
 1, 0, -1, -2, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, \
-2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 1, 5, 1, -9, 3, 3, 3, 1, -1,\
 1, -1, -5, -2, -4, 1, -7, -6, -1, 4, 2, -4, -8, 1, -7 ], embQ := [ [ 0, 2, 0, -2, 0, 3, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1\
, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 4, -8, 4, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 2, 1, -3, 2, -2, 1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, -4, 8, -4, 0, 0, 0, -1, 0, -1, 0, 1, 3, 0, -3, -2, 4, -1, 6, -3 ], [ 0, 0, \
0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 6, -12, 6, 0, 0, 0, 2, 0, 2, 0, -2, -5, 0, 4, 4, -8, 1\
, -5, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, -2, 0, -1, 0, 1, 2, 0, -2, -2, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -6, 6, -2, 0, 0, 0, 0, 0, -2, 0,\
 0, 2, 0, -2, -2, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 10, 8, 14, 20, 18, 16, 11\
, 7, 4, 2 ], rlifts := [ [ 0, -2, 0, 2, 0, -3, 1, 1, 1, 0, 0, 0, 0, -2, 0, -2, -1, -3, -2, 0, 1, 0, -1, -2, 1, -2 ], [ 0, -2, 0, 2, 0, -3, 1, 1, 1, 0, 0, \
0, 0, -2, 0, -1, 1, -2, -2, 0, 1, 0, -1, -3, 0, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, -1, 2, 2, 0, -1, 0, 1, 3, 0, 3 ], [ -1, 0, 0, 0, -2, 0, -1, 1, \
-2, -2, 0, 1, 0, -1, -3, 0, -3 ], [ 1, 0, 0, 0, 2, 0, 2, 1, 3, 2, 0, -1, 0, 1, 2, -1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, -1, -3, -2, 0, 1, 0, -1, -2, 1, -2 ],\
 [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, \
0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, \
2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, \
0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -20, -15, -28, -40, -36, -32, -22, -14, -\
8, -4 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 20, 16, 28, 41, 36, 32, 22, 14, 8, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -30, -24, -42, -60, -54, -47, -33\
, -21, -12, -6 ], [ 10, 8, 14, 20, 18, 16, 12, 7, 4, 2 ], [ 10, 8, 14, 20, 18, 16, 11, 8, 4, 2 ], [ 10, 8, 14, 20, 18, 16, 11, 7, 5, 2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -20, 0, 20, 0, -30, 10, 10, 10, 0, 0, 0, 0, -20, 0, -15, 0, -25, -20, 0, 10, 0, -10, -25, 5, -25 ], [ 0, -15, 0, 1\
6, 0, -24, 8, 8, 8, 0, 0, 0, 0, -16, 0, -12, 0, -20, -16, 0, 8, 0, -8, -20, 4, -20 ], [ 0, -28, 1, 28, 0, -42, 14, 14, 14, 0, 0, 0, 0, -28, 0, -21, 0, -35\
, -28, 0, 14, 0, -14, -35, 7, -35 ], [ 0, -40, 0, 41, 0, -60, 20, 20, 20, 0, 0, 0, 0, -41, 1, -31, -2, -52, -40, 0, 19, -1, -20, -49, 11, -49 ], [ 0, -36,\
 0, 36, 1, -54, 18, 18, 18, 0, 0, 0, 0, -37, 1, -28, -2, -47, -36, 0, 17, -1, -18, -44, 10, -44 ], [ 0, -32, 0, 32, 0, -47, 16, 16, 16, 0, 0, 0, 0, -32, 0\
, -24, 0, -40, -32, 0, 16, 0, -16, -40, 8, -40 ], [ 0, -22, 0, 22, 0, -33, 12, 11, 11, 0, 0, 0, 0, -22, 0, -17, -1, -28, -22, 0, 11, 0, -11, -27, 6, -27 ]\
, [ 0, -14, 0, 14, 0, -21, 7, 8, 7, 0, 0, 0, 0, -15, 1, -11, -1, -19, -14, 0, 6, -1, -7, -17, 4, -17 ], [ 0, -8, 0, 8, 0, -12, 4, 4, 5, 0, 0, 0, 0, -9, 1,\
 -7, -2, -12, -8, 0, 3, -1, -4, -9, 3, -9 ], [ 0, -4, 0, 4, 0, -6, 2, 2, 2, 1, 0, 0, 0, -4, 0, -4, -2, -6, -4, 0, 2, 0, -2, -4, 2, -4 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -\
2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2\
, -1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -2, 2, -4, 4, 2, 2, 0, 4, 0, 0, -4, -2, 4, \
1, 1, 2 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -\
8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 4, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 2, -3, -5, -5, -4, -6, 2, -2,\
 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0,\
 0 ], [ 4, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, \
-2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0\
, 0, 0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 1, 2, 2, 2, 4, 2,\
 -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, \
-20, 10, 8, -8, -8, 8, 8, -4 ], [ 0, 10, -8, -2, 4, 4, -4, -4, 2 ], [ 2, 8, -2, -8, 6, 4, -4, -4, 2 ], [ 0, -8, 4, 6, -8, -2, 4, 4, -2 ], [ 0, -8, 4, 4, -\
2, -8, 6, 4, -2 ], [ 0, 8, -4, -4, 4, 6, -8, -2, 2 ], [ 0, 8, -4, -4, 4, 4, -2, -8, 4 ], [ 0, -4, 2, 2, -2, -2, 2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0,\
 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0,\
 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0,\
 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 3, 3, -1, -5, 3, 3, -1, 3, -1, 1, -1, -1, -2, -1, 1, -4, -4, -1, 4, 2, -4, -4, -1, -4 ], embQ := [ [ \
0, 2, -1, -1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0,\
 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4\
, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 3, 0, 0, 0\
 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1,\
 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, \
0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 6, 5, 8, 12, 11, 9, 6, 4, 3, 1 ], rlifts := [ [ 0, -2, 1, 1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1 ], [ 0, -2, 1, 1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0\
, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 1, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 1, 0\
, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0\
, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ],\
 [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0\
, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ -12, -9, -16, -24, -22, -18, -12, -8, -6, -2 ], [ 6, 5, 9, 12, 11, 9, 6, 4, 3, 1 ], [ 6, 5, 8, 13, 11, 9, 6, 4, 3, 1 ], [ -6,\
 -5, -8, -12, -10, -9, -6, -4, -3, -1 ], [ -6, -5, -8, -12, -11, -8, -6, -4, -3, -1 ], [ 6, 5, 8, 12, 11, 9, 7, 4, 3, 1 ], [ 6, 5, 8, 12, 11, 9, 6, 5, 3, \
1 ], [ -6, -5, -8, -12, -11, -9, -6, -4, -2, -1 ], [ 6, 5, 8, 12, 11, 9, 6, 4, 3, 2 ] ], thegtilde := [ [ 1, -12, 6, 6, -6, -6, 6, 6, -6, 6, 0, 0, 0, 0, 0\
, 0, 0, -6, -6, 0, 6, 0, -6, -3, -3, -6 ], [ 0, -9, 5, 5, -5, -5, 5, 5, -5, 5, 0, 0, 0, 0, 0, 0, 0, -5, -5, 0, 5, 0, -5, -2, -3, -5 ], [ 0, -16, 9, 8, -8,\
 -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 8, 0, -8, -4, -4, -8 ], [ 0, -24, 12, 13, -12, -12, 12, 12, -12, 12, 0, 0, 0, -1, 1, 0, 0, -13, -12, 0, \
11, -1, -12, -6, -6, -12 ], [ 0, -22, 11, 11, -10, -11, 11, 11, -11, 11, 0, 0, 0, -1, 1, 0, 0, -12, -11, 0, 10, -1, -11, -6, -5, -11 ], [ 0, -18, 9, 9, -9\
, -8, 9, 9, -9, 9, 0, 0, 0, 0, 0, 0, 0, -9, -9, 0, 9, 0, -9, -4, -5, -9 ], [ 0, -12, 6, 6, -6, -6, 7, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 6, 0, -6, \
-3, -3, -6 ], [ 0, -8, 4, 4, -4, -4, 4, 5, -4, 4, 0, 0, 0, -1, 1, 0, 0, -5, -4, 0, 3, -1, -4, -2, -2, -4 ], [ 0, -6, 3, 3, -3, -3, 3, 3, -2, 3, 0, 0, 0, -\
1, 1, 0, 0, -4, -3, 0, 2, -1, -3, -2, -1, -3 ], [ 0, -2, 1, 1, -1, -1, 1, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2,\
 -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -58, 9, 2, 4, 9, 11, 3, -1, 1, 1, -1, 1, 2, 0, -4, -1\
0, 12 ], [ 9, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 4, -4, -8, -\
12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 9, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 11, -3, -5, -5, -4, -6, 2, -2, 2,\
 -4, 0, -2, -2, -2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0\
 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -\
2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0\
, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -10, 2, 2, 2, 4, 2,\
 -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 12, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0,\
 -8, 6, -4, 0, -4, 0, 2, 2 ], [ 0, 6, -8, 6, 0, 4, 0, -2, -2 ], [ 2, -4, 6, -12, 0, -12, 2, 2, 2 ], [ 0, 0, 0, 0, -4, -4, 2, 0, 0 ], [ 0, -4, 4, -12, -4, \
-20, 4, 2, 2 ], [ 0, 0, 0, 2, 2, 4, -4, 2, 0 ], [ 0, 2, -2, 2, 0, 2, 2, -4, 0 ], [ 0, 2, -2, 2, 0, 2, 0, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0\
, -1, 0, 0, -1, -2, 0, -1, 2, -2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 \
], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0,\
 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 5, -1, 3, -5, 1, 1, 5, 1, -1, 1, -1, -3, -2, -3, 1, -4, -2, -1, 0, -1, -2, -5, 4, -6 ], embQ := [ [ 0, 2, -\
2, 1, -1, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]\
 ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1,\
 0, 1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, -2, 4, -2, 0, 0, 0, -2, 0, -2, 0, -1, 0, 0, -1, 0, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 4, -4, 2\
, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 1, 2, -4, 0, 1, -2 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ]\
, [ 0, 0, 0, 0, 4, -8, 4, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -4, -5, 0, 3, 3, -6, -3, 0, -3 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, \
0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -\
1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 8, 6, 10, 16, 13, 11, 8, 5, 2, 1 ], rlifts := [ [ 0, -2, 2, -1, 1, -1, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1,\
 0, -1, 0, 0, -1, -2, 0, -1, 2, -2 ], [ 0, -2, 2, -1, 1, -1, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 2, -2 ] ], rootsQ := [ [ 1, 0, 0,\
 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, -2, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -2, 0, -1, 2, -2 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1\
, -2, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0\
, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0\
 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0\
, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -16, -11, -20, -32, -26, -22, -16, -10, -4, -2 ], [ 16, 12, 21, 32, 26, 22, 16, 10, 4, 2 ], [ -8, -6, -10, -15, -13, -11, \
-8, -5, -2, -1 ], [ 8, 6, 10, 16, 14, 11, 8, 5, 2, 1 ], [ -8, -6, -10, -16, -13, -10, -8, -5, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0 ], [ 16, 12, 20, 32, 26, 22, 16, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -16, 16, -8, 8, -8, 0, 0, 16, 0, 0, 0,\
 0, -8, 0, -8, 0, -8, 0, 0, -8, -12, 0, -8, 16, -16 ], [ 0, -11, 12, -6, 6, -6, 0, 0, 12, 0, 0, 0, 0, -6, 0, -6, 0, -6, 0, 0, -6, -9, 0, -6, 12, -12 ], [ \
0, -20, 21, -10, 10, -10, 0, 0, 20, 0, 0, 0, 0, -10, 0, -10, 0, -10, 0, 0, -10, -16, 0, -10, 20, -20 ], [ 0, -32, 32, -15, 16, -16, 0, 0, 32, 0, 0, 0, 0, \
-17, 1, -16, 0, -17, 0, 0, -17, -25, 0, -16, 32, -32 ], [ 0, -26, 26, -13, 14, -13, 0, 0, 26, 0, 0, 0, 0, -14, 1, -13, 0, -14, 0, 0, -14, -21, 0, -13, 26,\
 -26 ], [ 0, -22, 22, -11, 11, -10, 0, 0, 22, 0, 0, 0, 0, -11, 0, -11, 0, -11, 0, 0, -11, -18, 0, -11, 22, -22 ], [ 0, -16, 16, -8, 8, -8, 1, 0, 16, 0, 0,\
 0, 0, -8, 0, -8, 0, -8, 0, 0, -8, -12, 0, -8, 16, -16 ], [ 0, -10, 10, -5, 5, -5, 0, 1, 10, 0, 0, 0, 0, -6, 1, -5, 0, -6, 0, 0, -6, -8, 0, -5, 10, -10 ],\
 [ 0, -4, 4, -2, 2, -2, 0, 0, 5, 0, 0, 0, 0, -3, 1, -2, 0, -3, 0, 0, -3, -4, 0, -2, 4, -4 ], [ 0, -2, 2, -1, 1, -1, 0, 0, 2, 1, 0, 0, 0, -1, 0, -1, 0, -1,\
 0, 0, -1, -2, 0, -1, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ \
-78, 5, 12, 3, 25, 10, -3, 1, -3, 7, -6, -6, -4, 6, -6, -12, 12 ], [ 5, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 12, -2, -12, -8, -10\
, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 25, -2, -10, -6, -16, -4, 4, -2, 6, -6, \
4, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ \
1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 7, -2, -8, -8, -6, -4, 6, -4\
, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -6, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0,\
 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -6, 2, 2, 2, 4, 2\
, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -12, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 12, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, 0, 0, -16, 8, 8, 4 ], [ 0, 18, -20, 2, 0, 16, -8, -8, -4 ], [ 2, 0, 2, -4, 2, 0, \
0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -16, 16, 0, 2, -20, 10, 8, 4 ], [ 0, 8, -8, 0, 0, 10, -8, -2, -2 ], [ 0, 8, -8, 0, 0, 8, -2, -8, 0 ], [ 0,\
 4, -4, 0, 0, 4, -2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 1, 1, 0, 0, -2, 1, -3 ], [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 0, -1,\
 -1, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1,\
 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 5, 1, 1, -7, 3, 3, 3, -1, -1, 1, -1, -\
3, -2, -1, 1, -4, -4, -1, 4, 2, -3, -6, 3, -7 ], embQ := [ [ 0, 2, -2, 0, 0, 2, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, \
0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, -2, -3, -3, 2, -2, 1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 4, -8, 0, 0, \
0, -3, 0, 1, 0, 1, -1, 0, 2, 3, 4, -3, 2, -1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -4, -2, 0, -1, -1, -6, 0, -3, 0 ], \
[ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,\
 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 8, 6, 10, 16, 14, 12, 8, 5, 3, 2 ], rlifts \
:= [ [ 0, -2, 2, 0, 0, -2, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 1, 1, 0, 0, -2, 1, -3 ], [ 0, -2, 2, 0, 0, -2, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 1, -\
1, -1, -1, 1, 0, -1, -1, 2, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, -1, -1, 0, 0, 2, -1, 3 ], [ -1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 1, 1, 0, 0,\
 -2, 1, -3 ], [ 1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 1, -1, 0, 1, 1, -2, 2 ], [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 0, -1, -1, 2, -2 ], [ 0, -2, 0, 0, 1, -\
1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0\
 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0,\
 -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootsty\
peQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -16, -11, -20, -32, -28, -24, -16, -10, -6, -4 ], [ 16, 12, 2\
1, 32, 28, 24, 16, 10, 6, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -16, -12, -20, -32, -28, -23, -16, -10, -6, -4 ], [ 8\
, 6, 10, 16, 14, 12, 9, 5, 3, 2 ], [ 8, 6, 10, 16, 14, 12, 8, 6, 3, 2 ], [ 8, 6, 10, 16, 14, 12, 8, 5, 4, 2 ], [ -8, -6, -10, -16, -14, -12, -8, -5, -3, -\
1 ] ], thegtilde := [ [ 1, -16, 16, 0, 0, -16, 8, 8, 8, -8, 0, 0, 0, -8, 0, 0, 0, -8, -8, 0, 8, 0, -4, -12, 12, -20 ], [ 0, -11, 12, 0, 0, -12, 6, 6, 6, -\
6, 0, 0, 0, -6, 0, 0, 0, -6, -6, 0, 6, 0, -3, -9, 9, -15 ], [ 0, -20, 21, 0, 0, -20, 10, 10, 10, -10, 0, 0, 0, -10, 0, 0, 0, -10, -10, 0, 10, 0, -5, -15, \
15, -25 ], [ 0, -32, 32, 1, 0, -32, 16, 16, 16, -16, 0, 0, 0, -17, 1, 0, 0, -17, -16, 0, 15, -1, -8, -24, 24, -40 ], [ 0, -28, 28, 0, 1, -28, 14, 14, 14, \
-14, 0, 0, 0, -15, 1, 0, 0, -15, -14, 0, 13, -1, -7, -21, 21, -35 ], [ 0, -24, 24, 0, 0, -23, 12, 12, 12, -12, 0, 0, 0, -12, 0, 0, 0, -12, -12, 0, 12, 0, \
-6, -18, 18, -30 ], [ 0, -16, 16, 0, 0, -16, 9, 8, 8, -8, 0, 0, 0, -8, 0, 0, 0, -8, -8, 0, 8, 0, -4, -12, 12, -20 ], [ 0, -10, 10, 0, 0, -10, 5, 6, 5, -5,\
 0, 0, 0, -6, 1, 0, -1, -6, -5, 1, 4, -1, -2, -8, 7, -13 ], [ 0, -6, 6, 0, 0, -6, 3, 3, 4, -3, 0, 0, 0, -4, 1, 0, 1, -4, -3, -1, 2, -1, -2, -4, 5, -7 ], [\
 0, -4, 4, 0, 0, -4, 2, 2, 2, -1, 0, 0, 0, -2, 0, 0, 2, -2, -2, -2, 2, 0, -2, -2, 4, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -3, -1, 1, 2, 0, -2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -2, -2, 0, 2, -2, -2, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 0, 0, -1, 1, 1\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -44, 2, -7, -8, -4, 5, 10, -4, 11, -7, 2, -2, 0, 0, 2, -2, 8 ], [ 2, -4, -2, -4, \
-2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -8, -4, -8, -12, -6, -5, 6, -5, 8, -8\
, -1, -4, -4, -2, 2, 2, 0 ], [ -4, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2\
, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 11, 2, 6, 8, 6, 2\
, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -7, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0\
, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4,\
 -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0\
, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, 0, 0, -16, 16,\
 -8, 12 ], [ 0, 18, -20, 2, 0, 16, -16, 8, -12 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -16, 16, 0, 2, -20, 18, -8, 12 ], [\
 0, 16, -16, 0, 0, 18, -20, 10, -12 ], [ 0, -8, 8, 0, 0, -8, 10, -8, 8 ], [ 0, 12, -12, 0, 0, 12, -12, 8, -12 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, -1, 0, \
-2, -1, 0, 0, -1, -1, -1, 1, -2 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ],\
 [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0\
, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 5, 1, 1, -7, 5, -1, 3, 3, -1, 1, -1, -1, -2, -3, 1, -5, -3, -1, 2, 0, -4, -5, 2, -6 ], embQ := [ [ 0, 2, -2, \
0, 0, 2, -2, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ]\
, embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, \
0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1, 0, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, \
0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -4, 8, 0, 0, 0, 1, 0, -2, 0, -1, 1, 0, -3, -3, \
-3, 3, -4, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0\
, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 8, 6, 10, 16, 14, 12, 8, 6, 3, 1 ], rlifts := [ [ 0, -2, 2, 0, 0, -2, 2, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -2, -\
1, 0, 0, -1, -1, -1, 1, -2 ], [ 0, -2, 2, 0, 0, -2, 2, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, -1, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0,\
 1, 0, 2, 1, 0, 0, 1, 1, 1, -1, 2 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -1, -1, -1, 1, -2 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, -1, 2 ]\
, [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0\
, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0\
, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ -16, -11, -20, -32, -28, -24, -16, -12, -6, -2 ], [ 16, 12, 21, 32, 28, 24, 16, 12, 6, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -16, -12, -20, -32, -28, -23, -16, -12, -6, -2 ], [ 16, 12, 20, 32, 28, 24, 17, 12, 6, 2 ], [ -8, -6, -10, -16, -14, -12, -8\
, -5, -3, -1 ], [ 8, 6, 10, 16, 14, 12, 8, 6, 4, 1 ], [ 8, 6, 10, 16, 14, 12, 8, 6, 3, 2 ] ], thegtilde := [ [ 1, -16, 16, 0, 0, -16, 16, -8, 8, 8, 0, 0, \
0, 0, 0, -8, 0, -12, -4, 0, 0, -8, -8, -8, 8, -16 ], [ 0, -11, 12, 0, 0, -12, 12, -6, 6, 6, 0, 0, 0, 0, 0, -6, 0, -9, -3, 0, 0, -6, -6, -6, 6, -12 ], [ 0,\
 -20, 21, 0, 0, -20, 20, -10, 10, 10, 0, 0, 0, 0, 0, -10, 0, -15, -5, 0, 0, -10, -10, -10, 10, -20 ], [ 0, -32, 32, 1, 0, -32, 32, -16, 16, 16, 0, 0, 0, -\
1, 1, -16, 0, -26, -9, 0, -1, -17, -16, -16, 16, -32 ], [ 0, -28, 28, 0, 1, -28, 28, -14, 14, 14, 0, 0, 0, -1, 1, -14, 0, -23, -8, 0, -1, -15, -14, -14, 1\
4, -28 ], [ 0, -24, 24, 0, 0, -23, 24, -12, 12, 12, 0, 0, 0, 0, 0, -12, 0, -18, -6, 0, 0, -12, -12, -12, 12, -24 ], [ 0, -16, 16, 0, 0, -16, 17, -8, 8, 8,\
 0, 0, 0, 0, 0, -8, 0, -13, -5, 0, 0, -8, -8, -8, 8, -16 ], [ 0, -12, 12, 0, 0, -12, 12, -5, 6, 6, 0, 0, 0, -1, 1, -6, 0, -11, -4, 0, -1, -7, -6, -6, 6, -\
12 ], [ 0, -6, 6, 0, 0, -6, 6, -3, 4, 3, 0, 0, 0, -1, 1, -3, 0, -6, -2, 0, -1, -4, -3, -3, 3, -6 ], [ 0, -2, 2, 0, 0, -2, 2, -1, 1, 2, 0, 0, 0, 0, 0, -1, \
0, -2, -1, 0, 0, -1, -1, -1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 2, -1, -1, -2, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := \
[ [ -36, 5, 9, 5, 16, 10, -1, 2, -2, 5, -2, -2, 0, 6, -4, -6, 8 ], [ 5, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 9, -2, -12, -8, -10,\
 -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 16, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4\
, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2\
, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4,\
 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, \
0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, \
-2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, \
-4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -20, 18, 0, 0, -8, -8, 16, 4 ], [ 0, 18, -20, 2, 0, 8, 8, -16, -4 ], [ 2, 0, 2, -4, 2, 0, 0, 0\
, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -8, 8, 0, 2, -8, -2, 8, 2 ], [ 0, -8, 8, 0, 0, -2, -8, 10, 2 ], [ 0, 16, -16, 0, 0, 8, 10, -20, -2 ], [ 0, 4, \
-4, 0, 0, 2, 2, -2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, -1, -1, -1, 0, -2 ], [ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0\
, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1,\
 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -6, 5, 1, 1, -5, -1, 5, 1, 3, -1, 1, -1, -3, \
-2, -2, 1, -4, -3, -1, 2, 0, -4, -4, 1, -5 ], embQ := [ [ 0, 2, -2, 0, 0, 1, 1, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -\
1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1, 0\
, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0\
, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, -2, 8, 0, 0, 0, 3, 0, -3, 0, -2, 1, 0, -3, -3, -\
3, 2, -3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 8, 6, 10, 16, 14, 12, 9, 5, 3, 1 ], rlifts :\
= [ [ 0, -2, 2, 0, 0, -1, -1, 2, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, -1, -1, -1, 0, -2 ], [ 0, -2, 2, 0, 0, -1, -1, 2, 0, 1, 0, 0, 0, -1, 0, -1, -1,\
 -1, 0, 0, 0, -1, -1, 0, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, 1, 1, 1, 0, 2 ], [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, -1, -1, \
-1, 0, -2 ], [ 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, -1, 1 ], [ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 1, -1 ], [ 0, -2, 0, 0, 1, -1, \
0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ],\
 [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1\
, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ\
 := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -16, -11, -20, -32, -28, -24, -18, -10, -6, -2 ], [ 16, 12, 21, \
32, 28, 24, 18, 10, 6, 2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -6, -10, -16, -14, -11, -9, -5, -3, -1 ], [ -8, -6, \
-10, -16, -14, -12, -8, -5, -3, -1 ], [ 16, 12, 20, 32, 28, 24, 18, 11, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 8, 6, 10, 16, 14, 12, 9, 5, 3, 2 ] ], \
thegtilde := [ [ 1, -16, 16, 0, 0, -8, -8, 16, 0, 8, 0, 0, 0, -8, 0, -4, 0, -8, -4, 0, 0, -8, -8, -4, 4, -12 ], [ 0, -11, 12, 0, 0, -6, -6, 12, 0, 6, 0, 0\
, 0, -6, 0, -3, 0, -6, -3, 0, 0, -6, -6, -3, 3, -9 ], [ 0, -20, 21, 0, 0, -10, -10, 20, 0, 10, 0, 0, 0, -10, 0, -5, 0, -10, -5, 0, 0, -10, -10, -5, 5, -15\
 ], [ 0, -32, 32, 1, 0, -16, -16, 32, 0, 16, 0, 0, 0, -17, 1, -8, 0, -17, -8, 0, -1, -17, -16, -8, 8, -24 ], [ 0, -28, 28, 0, 1, -14, -14, 28, 0, 14, 0, 0\
, 0, -15, 1, -7, 0, -15, -7, 0, -1, -15, -14, -7, 7, -21 ], [ 0, -24, 24, 0, 0, -11, -12, 24, 0, 12, 0, 0, 0, -12, 0, -6, 0, -12, -6, 0, 0, -12, -12, -6, \
6, -18 ], [ 0, -18, 18, 0, 0, -9, -8, 18, 0, 9, 0, 0, 0, -9, 0, -4, 1, -9, -5, 0, 0, -9, -9, -5, 4, -14 ], [ 0, -10, 10, 0, 0, -5, -5, 11, 0, 5, 0, 0, 0, \
-6, 1, -2, 1, -6, -3, 0, -1, -6, -5, -3, 2, -8 ], [ 0, -6, 6, 0, 0, -3, -3, 6, 1, 3, 0, 0, 0, -4, 1, -2, -1, -4, -1, 0, -1, -4, -3, -1, 2, -4 ], [ 0, -2, \
2, 0, 0, -1, -1, 2, 0, 2, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0\
, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -\
1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -38, -3, 7, -4, 12, 3, 5, -1, 5, 1, -2, -6, -6, 5, 2, 0, 2 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -\
2, -2, 0, 2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ]\
, [ 12, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2,\
 -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -\
2, -2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, \
-4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 5, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0\
, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0,\
 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, 4, 0, -4, 6, 2, 0 ], [ 0, -2, -8, 6, 0, -4, \
6, 2, 0 ], [ 2, 4, 6, -8, 2, 4, -6, -2, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -4, -4, 4, 2, -8, 8, 2, 0 ], [ 0, 6, 6, -6, 0, 8, -12, -2, 0 ], [ 0, 2, \
2, -2, 0, 2, -2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 1, 1, 0, -2, -1, -1 ], [ -1, 0, 0, 0, -1, 1\
, -1, 0, -2, -2, 0, 0, 0, -1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -\
1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, -1, 3, 1,\
 -5, 3, 3, 1, 1, -1, 1, -1, -3, -2, -2, 1, -5, -5, -1, 3, 3, -3, -6, -1, -4 ], embQ := [ [ 0, 1, 1, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -2, 2, 0, 3, -1 ], [ 0, 2, -4, 2\
, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, 0, 1, -1, -1, 1 ], [ 2, 0, 2, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, -1, 1, \
1, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -\
1, 0, 0, 0, -1, -2, 2, -2 ], [ 0, 0, 0, 0, 0, 2, -6, 6, -2, 0, 0, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, \
0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 5, 9, 12,\
 10, 8, 5, 3, 2, 1 ], rlifts := [ [ 0, -1, -1, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 1, 1, 0, -2, -1, -1 ], [ 0, -1, -1, 1, 0, -1, 1, 1,\
 0, 0, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 0, -1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, -1, -1, 0, 2, 1, 1 ], [ -1, 0, 0, 0, -1, \
-1, 0, 0, -1, -1, 0, 1, 1, 0, -2, -1, -1 ], [ 1, 0, 0, 0, 1, -1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 0, -1, -1, \
0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1\
, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0\
, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1,\
 -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -4, -9, -12, -10, -8, -5, -3,\
 -2, -1 ], [ -6, -5, -8, -12, -10, -8, -5, -3, -2, -1 ], [ 6, 5, 9, 13, 10, 8, 5, 3, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -5, -9, -12, -10, -7,\
 -5, -3, -2, -1 ], [ 6, 5, 9, 12, 10, 8, 6, 3, 2, 1 ], [ 6, 5, 9, 12, 10, 8, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1 ] ], thegtilde := [ [ 1, -6, -6, 6, 0, -6, 6, 6, 0, 0, 0, 0, 0, -6, 0, -3, 0, -9, -9, 0, 3, 3, -3, -9, -3, -6 ], [ 0, -4, -5, 5, 0, -5, 5, 5, 0, 0, 0, 0\
, 0, -5, -1, -2, 0, -7, -7, 0, 3, 3, -2, -8, -3, -5 ], [ 0, -9, -8, 9, 0, -9, 9, 9, 0, 0, 0, 0, 0, -9, -1, -4, 0, -13, -13, 0, 5, 5, -4, -14, -5, -9 ], [ \
0, -12, -12, 13, 0, -12, 12, 12, 0, 0, 0, 0, 0, -13, -1, -5, 0, -18, -17, 0, 6, 6, -5, -19, -7, -12 ], [ 0, -10, -10, 10, 1, -10, 10, 10, 0, 0, 0, 0, 0, -\
11, -1, -4, 0, -15, -14, 0, 5, 5, -4, -16, -6, -10 ], [ 0, -8, -8, 8, 0, -7, 8, 8, 0, 0, 0, 0, 0, -8, 0, -4, 0, -12, -12, 0, 4, 4, -4, -12, -4, -8 ], [ 0,\
 -5, -5, 5, 0, -5, 6, 5, 0, 0, 0, 0, 0, -5, -1, -2, 0, -7, -7, 0, 3, 3, -2, -8, -3, -5 ], [ 0, -3, -3, 3, 0, -3, 3, 4, 0, 0, 0, 0, 0, -4, -2, 0, 0, -4, -3\
, 0, 2, 2, 0, -6, -3, -3 ], [ 0, -2, -2, 2, 0, -2, 2, 2, 1, 0, 0, 0, 0, -3, 1, -1, 0, -4, -3, 0, 0, 0, -1, -3, -1, -2 ], [ 0, -1, -1, 1, 0, -1, 1, 1, 0, 1\
, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, 1, 3, 0, 2, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 1, 0, 2, -1, 2, 2, 1, -1, \
-1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1,\
 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -2, 1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 2, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 1, 0, 1, 1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -24, 0, 5, -1, 11, 4, 5, -2, 3, 1, -3, -4, -4, 2, 0, -3, 3 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -\
2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ \
11, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8,\
 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -\
2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, \
2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0,\
 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 3, -2, 0, 0,\
 -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, 4, 2, -2, 0, 0, 0 ], [ 0, -2, -8, 6, 2, -2, 0, \
0, 0 ], [ 2, 4, 6, -8, 0, 2, 0, 0, 0 ], [ 0, 2, 2, 0, -4, 2, 0, 0, 0 ], [ 0, -2, -2, 2, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0,\
 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 1, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1,\
 -1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, \
0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, -1, 3, 3, -5, 1, 1, 1,\
 1, -1, 1, -1, -3, -2, -3, 1, -4, -4, -1, 2, 2, -2, -5, 1, -3 ], embQ := [ [ 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, \
0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, -1, -2, 3, 2, 1, 1 ], [ 0, 2, -4, 2, -2, 4, -2, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 2, 1, -3, 3 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -2, -1, 3, -3 ], [ 0, 0,\
 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1,\
 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0,\
 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 3, 3, 5, 6, 5, 5, 4, 3, 2,\
 1 ], rlifts := [ [ 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0,\
 0, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 0, -1 ], [ 0, -2, 0, 0, \
1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, \
1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1\
, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], roo\
tstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, -2, -5, -6, -5, -5, -4, -3, -2, -1 ], [ -3, -3, -4, -\
6, -5, -5, -4, -3, -2, -1 ], [ 3, 3, 5, 7, 5, 5, 4, 3, 2, 1 ], [ 3, 3, 5, 6, 6, 5, 4, 3, 2, 1 ], [ -3, -3, -5, -6, -5, -4, -4, -3, -2, -1 ], [ 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -3, -3, 3\
, 3, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, -3, 0, -3, -3, 0, 0, 0, 0, -3, 1, -2 ], [ 0, -2, -3, 3, 3, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, -3, 0, -3, -3, 0, 0, 0, 0,\
 -3, 1, -2 ], [ 0, -5, -4, 5, 5, -5, 0, 0, 0, 0, 0, 0, 0, -5, 0, -5, 0, -5, -5, 0, 0, 0, 0, -5, 2, -3 ], [ 0, -6, -6, 7, 6, -6, 0, 0, 0, 0, 0, 0, 0, -7, 1\
, -6, 0, -7, -6, 0, -1, -1, 0, -6, 2, -4 ], [ 0, -5, -5, 5, 6, -5, 0, 0, 0, 0, 0, 0, 0, -6, 1, -5, 0, -6, -5, 0, -1, -1, 0, -5, 2, -3 ], [ 0, -5, -5, 5, 5\
, -4, 0, 0, 0, 0, 0, 0, 0, -5, 0, -5, 0, -5, -5, 0, 0, 0, 0, -5, 2, -3 ], [ 0, -4, -4, 4, 4, -4, 1, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 0, 0, 0, 0, -4\
, 1, -3 ], [ 0, -3, -3, 3, 3, -3, 0, 1, 0, 0, 0, 0, 0, -4, 1, -3, 0, -4, -3, 0, -1, -1, 0, -3, 1, -2 ], [ 0, -2, -2, 2, 2, -2, 0, 0, 1, 0, 0, 0, 0, -3, 1,\
 -2, 0, -3, -2, 0, -1, -1, 0, -2, 0, -2 ], [ 0, -1, -1, 1, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2,\
 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ] ), rec( GramQ := [ [ -30, 0, -11, -7, -15, 0, 11, -4, 11, -9, 5, 2, 2,\
 -4, 5, 4, 1 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -11, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -7,\
 -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -15, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 0, -3, -5, -5, -4, -6\
, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2,\
 -2, 0, 0, 0 ], [ 11, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 5, 0, 1, -\
1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2,\
 -2, -4, 0, 0, 0, 0 ], [ -4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 4, 2, \
2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 1, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0,\
 0 ], [ 0, -8, 2, 0, 0, 0, 4, -4, 6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4\
, 2, 0, 0 ], [ 0, 4, 0, 0, 0, 2, -8, 6, -6 ], [ 0, -4, 0, 0, 0, 0, 6, -8, 8 ], [ 0, 6, 0, 0, 0, 0, -6, 8, -12 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, -1, 0, \
-1, 0, 0, -1, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [\
 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1\
, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 1, 1, 1, -3, 3, -1, 3, 3, -1, 1, -1, -1, -2, -3, 1, -4, -2, -1, 0, 0, -2, -4, 0, -3 ], embQ := [ [ 0, 1, 0, 0, 0\
, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], em\
bQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1\
, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, \
2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2\
, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1,\
 -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 5, 4, 7, 10, 8, 6, 4, 3, 1, 0 ], rlifts := [ [ 0, -1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, \
-1, 0, -1, 0, -1 ], [ 0, -1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, \
0, 1, 1, 0, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, \
0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0\
, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, \
1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ -5, -3, -7, -10, -8, -6, -4, -3, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 5, 4, 7, 10, 8, 6, 5, 3, 1, 0 ], [ -5, -4, -7, -10, -8, -6, -4, -2, -1, 0 ], [ 5, 4, 7, 10, 8, 6, 4, 3, 2, 0 ], [ 5, 4, 7, 1\
0, 8, 6, 4, 3, 1, 1 ] ], thegtilde := [ [ 1, -5, 0, 0, 0, 0, 5, -5, 5, 5, 0, 0, 0, 0, 0, -5, 0, -5, 0, 0, -5, -5, 0, -3, 0, -3 ], [ 0, -3, 0, 0, 0, 0, 4, \
-4, 4, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -4, -4, 0, -2, 0, -2 ], [ 0, -7, 1, 0, 0, 0, 7, -7, 7, 7, 0, 0, 0, 0, 0, -7, 0, -7, 0, 0, -7, -7, 0, -4, 0, -4 ]\
, [ 0, -10, 0, 1, 0, 0, 10, -10, 10, 10, 0, 0, 0, -1, 1, -10, 0, -11, 0, 0, -11, -11, 0, -6, 0, -6 ], [ 0, -8, 0, 0, 1, 0, 8, -8, 8, 8, 0, 0, 0, -1, 1, -8\
, 0, -9, 0, 0, -9, -9, 0, -5, 0, -5 ], [ 0, -6, 0, 0, 0, 1, 6, -6, 6, 6, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, -6, -6, 0, -3, 0, -3 ], [ 0, -4, 0, 0, 0, 0, 5, -\
4, 4, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -4, -4, 0, -3, 0, -3 ], [ 0, -3, 0, 0, 0, 0, 3, -2, 3, 3, 0, 0, 0, -1, 1, -3, 0, -4, 0, 0, -4, -4, 0, -2, 0, -2 ]\
, [ 0, -1, 0, 0, 0, 0, 1, -1, 2, 1, 0, 0, 0, -1, 1, -1, 0, -2, 0, 0, -2, -2, 0, -2, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2,\
 -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -6, 1, \
1, 4, -3, 1, -2, 2, -2, 2, 2, 3, 3, 0, 0, 2, -2 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 1, -2, -12, -8, -10, -5, 6, -4, 6, -\
8, 1, -2, 0, -4, 2, 2, 0 ], [ 4, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -3, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4\
, -2 ], [ 1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2,\
 -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2\
, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 3, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 3, -2, 0,\
 -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0,\
 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp :=\
 [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 4, -4, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0 ], [ 0, 4, 0, 0, 2, -8, 6, -4, 2 ], [ 0, -4, 0, 0, 0, 6, -8, 6, -2 ], [ 0, 4, 0, 0, 0, -4, 6, -8, 4 ], [ 0, -2, 0, 0, 0, 2, -2, 4, -4 ] ], Sigma :\
= [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, \
-1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -2\
, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 1, 1, 1, -1, -1, 3, -1, 3, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 1, 1, -2, -2, -1, -1 \
], embQ := [ [ 0, 1, 0, 0, 0, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0,\
 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [\
 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1\
, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -3, -2, 0, 0, 0, -4, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0,\
 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2,\
 -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 2, 2, 3, 4, 3, 2, 2, 1, 1, 0 ], rlifts := [ [ 0, -1, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1 ] ], rootsQ := [ [ 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0,\
 -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0\
, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0\
, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2\
, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ -2, -1, -3, -4, -3, -2, -2, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0 ], [ 2, 2, 3, 4, 3, 3, 2, 1, 1, 0 ], [ -2, -2, -3, -4, -3, -2, -1, -1, -1, 0 ], [ 2, 2, 3, 4, 3, 2, 2, 2, 1, 0 ], [ -2, -2, -3, -4, -3, -2, -2, -1\
, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 2, 1, 1, 1 ] ], thegtilde := [ [ 1, -2, 0, 0, 0, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1 ], [ 0, \
-1, 0, 0, 0, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1 ], [ 0, -3, 1, 0, 0, 3, -3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2\
, 0, 1, -2, 1 ], [ 0, -4, 0, 1, 0, 4, -4, 4, -4, 4, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -3, -3, 0, 2, -2, 2 ], [ 0, -3, 0, 0, 1, 3, -3, 3, -3, 3, 0, 0, 0, -1,\
 1, 0, 0, -1, 0, 1, -3, -3, 0, 1, -2, 1 ], [ 0, -2, 0, 0, 0, 3, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, 0 ], [ 0, -2, 0, 0, 0, 2, -1\
, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1 ], [ 0, -1, 0, 0, 0, 1, -1, 2, -1, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, -1, -1, -1, 0, 1, 0, 1 ],\
 [ 0, -1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1\
, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2\
, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, -2, -1, -1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, 0, -1, -1, -1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ \
[ -146, 3, 19, 2, 35, 13, 2, 0, 0, 8, -8, -9, -9, 10, -4, -12, 12 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 19, -2, -12, -8, -\
10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 35, -2, -10, -6, -16, -4, 4, -2, 6, -6\
, 4, 2, 2, -4, 4, 4, -2 ], [ 13, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [\
 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 0, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 8, -2, -8, -8, -6, -4, 6, -4\
, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -8, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -9, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0,\
 0, 0 ], [ -9, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, \
2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -12, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 12, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 8, -12, 4, 4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0\
 ], [ 0, 8, 0, 2, -20, 26, -8, -8, -4 ], [ 0, -12, 0, 0, 26, -40, 14, 12, 6 ], [ 0, 4, 0, 0, -8, 14, -8, -2, -2 ], [ 0, 4, 0, 0, -8, 12, -2, -8, 0 ], [ 0,\
 2, 0, 0, -4, 6, -2, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 1, 0, 0, -1, -3, 1, -3 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, -1, 1, 1, -\
1, -2, 2, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -\
1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 1, 1, 5, -9, 3, 3, 3, -1, -1, 1, -1,\
 -5, -2, -3, 1, -6, -6, -1, 3, 3, -4, -8, 3, -7 ], embQ := [ [ 0, 1, 0, 0, -2, 3, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0\
, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2\
, 0, 0, 4, -8, 0, 0, 0, -1, 0, 3, 0, 3, 1, 0, 3, 2, 5, -1, 2, -1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -6, 12, 0, 0, 0, 2, 0, -4, 0, -5, -2, 0, -2, -2, -8, 1, -5,\
 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0,\
 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 8, 6, 11, 16, 13, 12, 8, 5, 3, 2 ], r\
lifts := [ [ 0, -1, 0, 0, 2, -3, 1, 1, 1, -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 1, 0, 0, -1, -3, 1, -3 ], [ 0, -1, 0, 0, 2, -3, 1, 1, 1, -1, 0, 0, 0, -2, 0, \
-1, 0, -2, -2, -1, 1, 1, -1, -2, 2, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, -1, 0, 0, 1, 3, -1, 3 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, 1, 0\
, 0, -1, -3, 1, -3 ], [ 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, -1, -1, 1, 2, -2, 2 ], [ -1, 0, 0, 0, -2, 0, -1, 0, -2, -2, -1, 1, 1, -1, -2, 2, -2 ], [ 0, -2, 0\
, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0\
, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -\
1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ]\
, rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -11, -16, -13, -12, -8, -5, -3, -2 ], [ 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 16, 12, 22, 32, 27, 24, 16, 10, 6, 4 ], [ -24, -18, -33, -48, -39, -35, -24, -15, -9, -6 ]\
, [ 8, 6, 11, 16, 13, 12, 9, 5, 3, 2 ], [ 8, 6, 11, 16, 13, 12, 8, 6, 3, 2 ], [ 8, 6, 11, 16, 13, 12, 8, 5, 4, 2 ], [ -8, -6, -11, -16, -13, -12, -8, -5, \
-3, -1 ] ], thegtilde := [ [ 1, -8, 0, 0, 16, -24, 8, 8, 8, -8, 0, 0, 0, -16, 0, -8, 0, -16, -16, 0, 4, 4, -8, -20, 12, -20 ], [ 0, -5, 0, 0, 12, -18, 6, \
6, 6, -6, 0, 0, 0, -12, 0, -6, 0, -12, -12, 0, 3, 3, -6, -15, 9, -15 ], [ 0, -11, 1, 0, 22, -33, 11, 11, 11, -11, 0, 0, 0, -22, 0, -11, 0, -22, -22, 1, 5,\
 5, -11, -28, 16, -28 ], [ 0, -16, 0, 1, 32, -48, 16, 16, 16, -16, 0, 0, 0, -33, 1, -16, 0, -33, -32, 0, 7, 7, -16, -40, 24, -40 ], [ 0, -13, 0, 0, 27, -3\
9, 13, 13, 13, -13, 0, 0, 0, -27, 1, -13, 0, -27, -26, 1, 5, 5, -13, -33, 19, -33 ], [ 0, -12, 0, 0, 24, -35, 12, 12, 12, -12, 0, 0, 0, -24, 0, -12, 0, -2\
4, -24, 2, 5, 5, -12, -31, 17, -31 ], [ 0, -8, 0, 0, 16, -24, 9, 8, 8, -8, 0, 0, 0, -16, 0, -8, 0, -16, -16, 0, 4, 4, -8, -20, 12, -20 ], [ 0, -5, 0, 0, 1\
0, -15, 5, 6, 5, -5, 0, 0, 0, -11, 1, -5, 0, -11, -10, -1, 2, 2, -5, -12, 8, -12 ], [ 0, -3, 0, 0, 6, -9, 3, 3, 4, -3, 0, 0, 0, -7, 1, -3, 0, -7, -6, 1, 0\
, 0, -3, -8, 4, -8 ], [ 0, -2, 0, 0, 4, -6, 2, 2, 2, -1, 0, 0, 0, -4, 0, -2, 0, -4, -4, 2, 0, 0, -2, -6, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, -2, -1, -1, 0, 1, 1, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -8, 0, -5, -4, -2, -2, 3, -3, 3, -3, -1, -2, -1, -4, 0, -2, 2\
 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -4, -4, -8, -12,\
 -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -2, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -2, -3, -5, -5, -4, -6, 2, -2, 2, -\
4, 0, -2, -2, -2, 2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ]\
, [ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2\
, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, \
0, 0, 0 ], [ -4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -2, 2, 2, 2, 4, 2,\
 -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, \
-8, 2, 4, -4, 0, 4, -4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 4, 2, -8, 6, 0, -4, 4, -2 ], [ 0, -4, 0, 6, -8, 2, 4, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0\
, 0 ], [ 0, 4, 0, -4, 4, 2, -8, 6, -2 ], [ 0, -4, 0, 4, -4, 0, 6, -8, 4 ], [ 0, 2, 0, -2, 2, 0, -2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 1, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0,\
 -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, \
0, 0 ] ], adjweyl := [ -1, -4, 1, 3, -1, -3, 3, -1, 3, -1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 3, 2, 0, -4, 1, -3 ], embQ := [ [ 0, 1, 0, -1, 1, 0, -1, \
1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := \
[ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0\
, 0, -1, -2, -1, 1, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 2, -4, 0, \
0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4\
, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0\
, 2, 2, 0, 0, 0, 0 ] ], r := [ 2, 2, 3, 4, 4, 3, 2, 2, 1, 1 ], rlifts := [ [ 0, -1, 0, 1, -1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, \
1, 0 ], [ 0, -1, 0, 1, -1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1\
, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, 0, 1, 0, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0,\
 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1,\
 -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1,\
 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -3\
, -4, -4, -3, -2, -2, -1, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 5, 4, 3, 2, 2, 1, 1 ], [ -2, -2, -3, -4, -3, -3, -2, -2, -1, -1 ], [ 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 4, 3, 3, 2, 1, 1 ], [ -2, -2, -3, -4, -4, -3, -2, -1, -1, -1 ], [ 2, 2, 3, 4, 4, 3, 2, 2, 2, 1 ], [ -2, -2, -3, -4, \
-4, -3, -2, -2, -1, 0 ] ], thegtilde := [ [ 1, -2, 0, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 1, -1 ], [ 0, -1, 0, 2, -2, 0, 2,\
 -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 1, -1 ], [ 0, -3, 1, 3, -3, 0, 3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 3, -1, 2, -1 ], [\
 0, -4, 0, 5, -4, 0, 4, -4, 4, -4, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, -1, 4, -2, 2, -2 ], [ 0, -4, 0, 4, -3, 0, 4, -4, 4, -4, 0, 0, 0, -1, 1, 0, 0, -1, 0,\
 0, 1, -1, 4, -2, 2, -2 ], [ 0, -3, 0, 3, -3, 1, 3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 3, -1, 2, -1 ], [ 0, -2, 0, 2, -2, 0, 3, -2, 2, -2, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 1, -1 ], [ 0, -2, 0, 2, -2, 0, 2, -1, 2, -2, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 2, -1, 1, -1 ], [ 0, -1, 0, 1\
, -1, 0, 1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, -1, -1, 1, -1, 0, -1 ], [ 0, -1, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -\
1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1\
, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 2, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 1, 1, 1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -84, 2, 7, -2,\
 18, 10, 11, -3, 7, -1, -3, -6, -5, 6, 0, -4, 8 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 7, -2, -12, -8, -10, -5, 6, -4, 6, -\
8, 1, -2, 0, -4, 2, 2, 0 ], [ -2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 18, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, \
4, -2 ], [ 10, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 11, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -1, -4, -5, \
-2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2,\
 -2, -2, 2, 2, 0 ], [ -3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -5, \
-2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, \
-2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQp\
erp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 4, 4, -8, -4, 4, 6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 4, 2, -8, -2, 8, 4, -4, -6 ], [ 0, 4, 0, -\
2, -8, 10, 4, -4, -6 ], [ 0, -8, 0, 8, 10, -20, -6, 8, 12 ], [ 0, -4, 0, 4, 4, -6, -8, 6, 6 ], [ 0, 4, 0, -4, -4, 8, 6, -8, -4 ], [ 0, 6, 0, -6, -6, 12, 6\
, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 1, -1, -1, -1, -2, 0, -2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, -1, 0, -1, -1, -1, 1, -1 ]\
, [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1,\
 -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 1, 3, 3, -7, -1, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1\
, -6, -4, -1, 1, 0, -4, -6, 1, -5 ], embQ := [ [ 0, 1, 0, -1, -1, 2, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, \
-1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0\
, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4\
, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, \
0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, \
-1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 8, 6, 11, 16, 14, 13, 10, 6, 3, 1 ], rlifts := [ \
[ 0, -1, 0, 1, 1, -2, -1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -2, -1, -1, 0, -1, -1, -1, 1, -1 ], [ 0, -1, 0, 1, 1, -2, -1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -2\
, -1, 1, -1, -1, -1, -2, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, -1, 1, 1, 1, 2, 0, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, 1, -1, -1, -1\
, -2, 0, -2 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, -1, 1 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -2, -1, -1, 0, -1, -1, -1, 1, -1 ], [ 0, -2, 0, 0, 1, \
-1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, \
0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0\
, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootst\
ypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -8, -5, -11, -16, -14, -13, -10, -6, -3, -1 ], [ 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0 ], [ 8, 6, 11, 17, 14, 13, 10, 6, 3, 1 ], [ 8, 6, 11, 16, 15, 13, 10, 6, 3, 1 ], [ -16, -12, -22, -32, -28, -25, -20, -12, -6, -2 ], [ -\
8, -6, -11, -16, -14, -13, -9, -6, -3, -1 ], [ 8, 6, 11, 16, 14, 13, 10, 7, 3, 1 ], [ 8, 6, 11, 16, 14, 13, 10, 6, 4, 1 ], [ 8, 6, 11, 16, 14, 13, 10, 6, \
3, 2 ] ], thegtilde := [ [ 1, -8, 0, 8, 8, -16, -8, 8, 8, 8, 0, 0, 0, -16, 0, -16, 0, -16, -8, 0, -4, -8, -8, -12, 4, -12 ], [ 0, -5, 0, 6, 6, -12, -6, 6,\
 6, 6, 0, 0, 0, -12, 0, -12, 0, -12, -6, 0, -3, -6, -6, -9, 3, -9 ], [ 0, -11, 1, 11, 11, -22, -11, 11, 11, 11, 0, 0, 0, -22, 0, -22, 0, -22, -11, -1, -5,\
 -11, -11, -16, 6, -16 ], [ 0, -16, 0, 17, 16, -32, -16, 16, 16, 16, 0, 0, 0, -33, 1, -32, 0, -33, -16, 0, -9, -17, -16, -24, 8, -24 ], [ 0, -14, 0, 14, 1\
5, -28, -14, 14, 14, 14, 0, 0, 0, -29, 1, -28, 0, -29, -14, 0, -8, -15, -14, -21, 7, -21 ], [ 0, -13, 0, 13, 13, -25, -13, 13, 13, 13, 0, 0, 0, -26, 0, -2\
6, 0, -26, -13, -1, -6, -13, -13, -19, 7, -19 ], [ 0, -10, 0, 10, 10, -20, -9, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -20, -10, 0, -5, -10, -10, -15, 5, -15\
 ], [ 0, -6, 0, 6, 6, -12, -6, 7, 6, 6, 0, 0, 0, -13, 1, -12, 0, -13, -6, 0, -4, -7, -6, -9, 3, -9 ], [ 0, -3, 0, 3, 3, -6, -3, 3, 4, 3, 0, 0, 0, -7, 1, -\
6, 0, -7, -3, 1, -3, -4, -3, -5, 1, -5 ], [ 0, -1, 0, 1, 1, -2, -1, 1, 1, 2, 0, 0, 0, -2, 0, -2, 0, -2, -1, 1, -1, -1, -1, -2, 0, -2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 2, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -44, 4, 15, 7, 21, 10, -5, 4, -5, 9, -3, -2,\
 -2, 8, -4, -7, 7 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 15, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [\
 7, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 21, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 10, -3, -5, -5, -4,\
 -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -\
2, -2, 0, 0, 0 ], [ -5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -3, 0, 1,\
 -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2,\
 -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -7\
, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 7, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, \
0, 0, 0 ], [ 0, -12, -2, -8, -2, -12, 4, 2, 0 ], [ 0, -2, -8, -2, -2, -8, 2, 0, 0 ], [ 2, -8, -2, -12, 0, -12, 4, 2, 0 ], [ 0, -2, -2, 0, -4, -4, 2, 0, 0 \
], [ 0, -12, -8, -12, -4, -20, 6, 2, 0 ], [ 0, 4, 2, 4, 2, 6, -4, 0, 0 ], [ 0, 2, 0, 2, 0, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -\
1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ], [ -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0,\
 -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 3, -1, 3, -5, 1, 5, 1, 1, -1, 1, -1, -3, -2, -1, 1, -4, -4, -1, 2, 2, -4, -5, 1, -5 ]\
, embQ := [ [ 0, 1, -1, 1, -1, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
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], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 2, -4, 4,\
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1 ], [ 2, 0, 2, -4, 4, -4, 4, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, -1, -1, 4, -3 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 7, 5, 9, 14, 11, 9, 6, 3, 2, 1 ], rlifts := [ [ 0, -1, 1, -1, 1, -1, 0, \
2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -2 ], [ 0, -1, 1, -1, 1, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ]\
 ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 1 ], [ -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ], [ 1, 0, 0, 0, 1, 0, \
0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2 ], [ -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ],\
 [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1,\
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 "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -7, -4, -9, -14, -11, -9, -6, -3, -2, -1 ], [ 7, 5, 10, 14, 11, 9, 6, 3, 2, 1 ], [ -7, -5, -9, -13,\
 -11, -9, -6, -3, -2, -1 ], [ 7, 5, 9, 14, 12, 9, 6, 3, 2, 1 ], [ -7, -5, -9, -14, -11, -8, -6, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 14, 10, \
18, 28, 22, 18, 12, 7, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -7, 7, -7, 7, -7, 0, 14, 0, 0, 0,\
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2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, \
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
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0, -4, -4, 7, 2, -4, 10 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0\
 ], [ -5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 11, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 11, -3, -5, -\
5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2\
, -2, -2, -2, 0, 0, 0 ], [ 10, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0\
, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2,\
 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 7, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ]\
, [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2,\
 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 8, -12, 8, 0, 6 ], [ 0, 6, -8, 6, -8, 12, -8, 0, -6 ], [ 2, -4, 6, -8, 10, -12, 8, 0, 6 ], [ 0, 8, -8, 10, -20, 26, -16,\
 0, -12 ], [ 0, -12, 12, -12, 26, -40, 26, 0, 18 ], [ 0, 8, -8, 8, -16, 26, -20, 2, -12 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 6, -6, 6, -12, 18, -12, 2,\
 -12 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 1, -2, -1, -3, -2, 1, -1, -1, -2, -2, 1, -3 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 0, 0, -2, -2, 1, -2 ], [ \
0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1,\
 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 3, -1, 5, -9, 5, 1, 3, 3, -1, 1, -1, -3, -2, -4, 1, -7\
, -5, -1, 1, 1, -6, -7, 2, -7 ], embQ := [ [ 0, 1, -1, 1, -2, 3, -2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
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 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
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0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, \
-1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2\
, -1, 0, -1, 0, -2, 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -4, 8, 0, \
0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 6, -12, 0, 0, 0, -4, 0, 2, 0, 1, -2, 0, 4, 4, 4, -5, 7, -5 ], [ 0, 0, 0, 0\
, 0, 2, -4, 2, -4, 8, 0, 0, 0, 1, 0, -2, 0, -1, 1, 0, -3, -3, -3, 3, -4, 3 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0\
, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 10, 7, 13, 20, 16, 14, 9, 6, 3, 1 ], rlifts := [\
 [ 0, -1, 1, -1, 2, -3, 2, 0, 1, 1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 0, 0, -2, -2, 1, -2 ], [ 0, -1, 1, -1, 2, -3, 2, 0, 1, 1, 0, 0, 0, -1, 1, -2, -1, \
-3, -2, 1, -1, -1, -2, -2, 1, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, -1, 2, 1, 3, 2, -1, 1, 1, 2, 2, -1, 3 ], [ -1, 0, 0, 0, -1, 1, -2, -1, -3, -2, 1, -1, -\
1, -2, -2, 1, -3 ], [ 1, 0, 0, 0, 1, 1, 1, -1, 2, 1, 1, 0, 0, 2, 2, -1, 2 ], [ -1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 0, 0, -2, -2, 1, -2 ], [ 0, -2, 0, \
0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, \
1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1,\
 -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], \
rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -10, -6, -13, -20, -16, -14, -9, -6, -3, -1 ], [ 10, 7\
, 14, 20, 16, 14, 9, 6, 3, 1 ], [ -10, -7, -13, -19, -16, -14, -9, -6, -3, -1 ], [ 20, 14, 26, 40, 33, 28, 18, 12, 6, 2 ], [ -30, -21, -39, -60, -48, -41,\
 -27, -18, -9, -3 ], [ 20, 14, 26, 40, 32, 28, 19, 12, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 10, 7, 13, 20, 16, 14, 9, 6, 4, 1 ], [ 10, 7, 13, 20, 1\
6, 14, 9, 6, 3, 2 ] ], thegtilde := [ [ 1, -10, 10, -10, 20, -30, 20, 0, 10, 10, 0, 0, 0, -10, 0, -15, 0, -25, -15, 0, -5, -5, -20, -20, 10, -25 ], [ 0, -\
6, 7, -7, 14, -21, 14, 0, 7, 7, 0, 0, 0, -7, -1, -10, 1, -17, -10, -1, -3, -3, -14, -14, 7, -17 ], [ 0, -13, 14, -13, 26, -39, 26, 0, 13, 13, 0, 0, 0, -13\
, -1, -19, 1, -32, -19, -1, -6, -6, -26, -26, 13, -32 ], [ 0, -20, 20, -19, 40, -60, 40, 0, 20, 20, 0, 0, 0, -21, -1, -29, 2, -50, -29, -2, -10, -10, -40,\
 -40, 20, -49 ], [ 0, -16, 16, -16, 33, -48, 32, 0, 16, 16, 0, 0, 0, -17, -1, -23, 2, -40, -23, -2, -8, -8, -32, -32, 16, -39 ], [ 0, -14, 14, -14, 28, -4\
1, 28, 0, 14, 14, 0, 0, 0, -14, 0, -21, 0, -35, -21, 0, -7, -7, -28, -28, 14, -35 ], [ 0, -9, 9, -9, 18, -27, 19, 0, 9, 9, 0, 0, 0, -9, -1, -13, 1, -22, -\
13, -1, -4, -4, -18, -18, 9, -22 ], [ 0, -6, 6, -6, 12, -18, 12, 1, 6, 6, 0, 0, 0, -7, -1, -8, 2, -15, -8, -2, -3, -3, -12, -12, 6, -14 ], [ 0, -3, 3, -3,\
 6, -9, 6, 0, 4, 3, 0, 0, 0, -4, 0, -4, 1, -8, -4, -1, -2, -2, -6, -6, 3, -7 ], [ 0, -1, 1, -1, 2, -3, 2, 0, 1, 2, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 0, \
0, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 1, 0, 2, -2, 1, -1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 1, 2, -1, 1, -2, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, 1, 1, -2, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 1, 1,\
 -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -42, 7, 13, 10,\
 20, 11, -5, 3, -7, 9, -4, 0, 0, 5, -6, -10, 8 ], [ 7, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 13, -2, -12, -8, -10, -5, 6, -4, 6, -\
8, 1, -2, 0, -4, 2, 2, 0 ], [ 10, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 20, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, \
4, -2 ], [ 11, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -1, -4, -5, -\
2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, \
-2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2,\
 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 5, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2\
, 0, 0, 0, -4, -2, 2 ], [ -10, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQpe\
rp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 8, -4, -2, 2, 0 ], [ 0, 6, -8, 6, -8, 4, 2, -2, 0 ], [ 2, -4, 6, -8, 10, -4, -2, 2, 0 ], [ 0, 8, -\
8, 10, -20, 10, 4, -4, 0 ], [ 0, -4, 4, -4, 10, -8, 0, 2, 0 ], [ 0, -2, 2, -2, 4, 0, -4, 2, 0 ], [ 0, 2, -2, 2, -4, 2, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, \
2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, -1, -1, -1, 0, 2, -1 ], [ 0, -2,\
 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 3, -1, 5, -5, -1, 3, 1, 1, -1, 1, -1, -3, -2, -2, 1, -3, -3,\
 -1, 1, 1, -3, -4, 3, -4 ], embQ := [ [ 0, 1, -1, 1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ]\
, [ 0, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -2, 2, 0, 3, -1 ], [ 0, 2, -4, 2, 0, 0, -2, 4, -2, 0, 0, 0, 0, -2, 0, 0, 0, -1, -2,\
 0, 1, 2, -1, -1, -3, 1 ], [ 2, 0, 2, -4, 2, 0, 2, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, -2, -1, 1, 1, 3, -1 ], [ 0, 0, 0, 2, -4, 2, -4, 8, -4, 0, 0, 0,\
 0, -1, 0, 3, 0, 1, -1, 0, 3, 2, -1, 1, -4, 1 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, 0, 0, -1, -2, 2, -2 ], [ 0, 0, 0, 0, 0\
, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, 0, -2, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, 3, 5, 8, 6, 6, 5, 3, 2, 1 ], rlifts := [ [ 0, -1, 1,\
 -1, 2, -1, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 0, -1, 1, -1, 2, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, -1, -\
1, -1, 0, 2, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 1, \
0, 0, 0, 1, -1, 1, 0, 1, 1, 0, 1, 1, 1, 0, -2, 1 ], [ -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, -1, -1, -1, 0, 2, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, \
2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -\
1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1"\
, "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -6, -6, -5, -3, -2, -1 ], [ 4, 3, 6, 8, 6, 6, 5, 3, 2, 1 ], [ -4\
, -3, -5, -7, -6, -6, -5, -3, -2, -1 ], [ 8, 6, 10, 16, 13, 12, 10, 6, 4, 2 ], [ -4, -3, -5, -8, -6, -5, -5, -3, -2, -1 ], [ -4, -3, -5, -8, -6, -6, -4, -\
3, -2, -1 ], [ 4, 3, 5, 8, 6, 6, 5, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, -4, 4, -4, 8, -4,\
 -4, 4, 0, 0, 0, 0, 0, -4, 0, -2, 0, -2, -2, 0, -2, -2, -2, -2, 6, -4 ], [ 0, -2, 3, -3, 6, -3, -3, 3, 0, 0, 0, 0, 0, -3, -1, -1, 0, -1, -1, 0, -1, -1, -1\
, -2, 4, -3 ], [ 0, -5, 6, -5, 10, -5, -5, 5, 0, 0, 0, 0, 0, -5, -1, -2, 0, -2, -2, 0, -2, -2, -2, -3, 7, -5 ], [ 0, -8, 8, -7, 16, -8, -8, 8, 0, 0, 0, 0,\
 0, -9, -1, -3, 0, -4, -3, 0, -4, -4, -3, -5, 11, -8 ], [ 0, -6, 6, -6, 13, -6, -6, 6, 0, 0, 0, 0, 0, -7, -1, -2, 0, -3, -2, 0, -3, -3, -2, -4, 8, -6 ], [\
 0, -6, 6, -6, 12, -5, -6, 6, 0, 0, 0, 0, 0, -6, 0, -3, 0, -3, -3, 0, -3, -3, -3, -3, 9, -6 ], [ 0, -5, 5, -5, 10, -5, -4, 5, 0, 0, 0, 0, 0, -5, -1, -2, 0\
, -2, -2, 0, -2, -2, -2, -3, 7, -5 ], [ 0, -3, 3, -3, 6, -3, -3, 4, 0, 0, 0, 0, 0, -4, -2, 0, 0, -1, 0, 0, -1, -1, 0, -3, 3, -3 ], [ 0, -2, 2, -2, 4, -2, \
-2, 2, 1, 0, 0, 0, 0, -3, 1, -1, 0, -2, -1, 0, -2, -2, -1, -1, 3, -2 ], [ 0, -1, 1, -1, 2, -1, -1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, -1, -1, -1, \
0, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, 1,\
 3, 0, 2, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 1, 0, 2, -1, 2, 2, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, -2, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 2, 0, 1, 1, 1\
, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2,\
 1, 0, 1, 1, 0, 1, 1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -3\
2, 2, -3, -5, 5, 4, 9, -4, 7, -5, -1, -4, -2, 0, 0, -3, 7 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, \
6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 5, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, \
2, -4, 4, 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, \
-4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8\
, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ]\
, [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0,\
 -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 7, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ]\
, GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -12, -2, -4, -6, -12, 2, 2, 2 ], [ 0, -2, -8, -2, -2, -8, 2, 0, 0 ], [ 2, -4, -2, -8, 0, -8, 2, 0, 0\
 ], [ 0, -6, -2, 0, -8, -8, 2, 2, 2 ], [ 0, -12, -8, -8, -8, -20, 4, 2, 2 ], [ 0, 2, 2, 2, 2, 4, -4, 2, 0 ], [ 0, 2, 0, 0, 2, 2, 2, -4, 0 ], [ 0, 2, 0, 0,\
 2, 2, 0, 0, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -1, 1, -1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -2 ]\
, [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1,\
 -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 3, 3, -1, -5, 1, 1, 5, 1, -1, 1, -1, -3, -2, -3, 1\
, -4, -2, -1, 2, 0, -2, -5, 1, -5 ], embQ := [ [ 0, 1, -1, -1, 1, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1\
, -1, 1 ], [ 0, -4, 2, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, -3, 0, 2, 1, -3, -1, 1, -2 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2,\
 0, -3, -3, 0, 1, 2, -2, -3, -1, -1 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -2, -1, 3, -3 ], [ 0, 0, 0, 2, -2, -2, 2, 2\
, -4, 2, 0, 0, 0, 1, 0, 1, 0, -1, -2, 0, 3, 2, -3, 0, -3, 0 ], [ 0, 0, 0, 0, 4, -8, 4, 2, -4, 2, 0, 0, 0, -1, 0, -1, 0, -4, -5, 0, 3, 3, -6, -3, 0, -3 ], \
[ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, \
-1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 7, 5, 9, 14, 13, 11, 8, 5, 2, 1 ], rlifts\
 := [ [ 0, -1, 1, 1, -1, -1, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -2 ], [ 0, -1, 1, 1, -1, -1, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0,\
 -1, 0, 0, 0, -1, 0, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, -1, 1 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -\
1, 1, -1 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, \
0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ \
0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1\
, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ :=\
 [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -7, -4, -9, -14, -13, -11, -8, -5, -2, -1 ], [ 7, 5, 10, 14, 13, 11\
, 8, 5, 2, 1 ], [ 7, 5, 9, 15, 13, 11, 8, 5, 2, 1 ], [ -7, -5, -9, -14, -12, -11, -8, -5, -2, -1 ], [ -7, -5, -9, -14, -13, -10, -8, -5, -2, -1 ], [ 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 14, 10, 18, 28, 26, 22, 16, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ \
[ 1, -7, 7, 7, -7, -7, 0, 0, 14, 0, 0, 0, 0, -7, 0, -7, 0, -7, 0, 0, 0, -7, 0, -7, 3, -11 ], [ 0, -4, 5, 5, -5, -5, 0, 0, 10, 0, 0, 0, 0, -5, 0, -5, 0, -5\
, 0, 0, 0, -5, 0, -5, 2, -8 ], [ 0, -9, 10, 9, -9, -9, 0, 0, 18, 0, 0, 0, 0, -9, 0, -9, 0, -9, 0, 0, 0, -9, 0, -9, 4, -14 ], [ 0, -14, 14, 15, -14, -14, 0\
, 0, 28, 0, 0, 0, 0, -15, 1, -14, 0, -15, 0, 0, -1, -15, 0, -14, 6, -22 ], [ 0, -13, 13, 13, -12, -13, 0, 0, 26, 0, 0, 0, 0, -14, 1, -13, 0, -14, 0, 0, -1\
, -14, 0, -13, 6, -20 ], [ 0, -11, 11, 11, -11, -10, 0, 0, 22, 0, 0, 0, 0, -11, 0, -11, 0, -11, 0, 0, 0, -11, 0, -11, 5, -17 ], [ 0, -8, 8, 8, -8, -8, 1, \
0, 16, 0, 0, 0, 0, -8, 0, -8, 0, -8, 0, 0, 0, -8, 0, -8, 3, -13 ], [ 0, -5, 5, 5, -5, -5, 0, 1, 10, 0, 0, 0, 0, -6, 1, -5, 0, -6, 0, 0, -1, -6, 0, -5, 2, \
-8 ], [ 0, -2, 2, 2, -2, -2, 0, 0, 5, 0, 0, 0, 0, -3, 1, -2, 0, -3, 0, 0, -1, -3, 0, -2, 0, -4 ], [ 0, -1, 1, 1, -1, -1, 0, 0, 2, 1, 0, 0, 0, -1, 0, -1, 0\
, -1, 0, 0, 0, -1, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ] ), rec( GramQ :\
= [ [ -98, -3, 3, -10, 10, 7, 13, -3, 13, -5, 0, -8, -6, 9, 4, 2, 6 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3, -2, -12, -8,\
 -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -10, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6\
, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 7, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 13, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 \
], [ -3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 13, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4\
, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -8, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2,\
 0, 0, 0, 0 ], [ -6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 9, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 4, 2, 2, 2,\
 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, \
2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, -2, -4, 0, -4, -2, -8, 2 ], [ 0, -2, -12, -6, 0, 0, -6, -12, 0 ], [ 2, -4, -6, -12, \
2, 0, -6, -12, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, -4, 0, 0, 2, -12, 4, -4, 4 ], [ 0, -2, -6, -6, 0, 4, -8, -8, 0 ], [ 0, -8, -12, -12, 0, -4, -8, -\
20, 2 ], [ 0, 2, 0, 0, 0, 4, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 1, 0, -2, -2, -1, -2 ], [ -1, 0, 0, 0, -1, 1, -2, 0, -3, -2\
, 0, 0, -1, -3, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0\
, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 3, 3, 1, -9, 3, 3, 1, 5\
, -1, 1, -1, -3, -2, -4, 1, -7, -5, -1, 3, 1, -7, -6, -1, -6 ], embQ := [ [ 0, 1, -1, -1, 0, 3, -1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1\
, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -2, 2, 0, 3, -1 ], [ 0, 2, -4, 2, 0, 0, 2, -4\
, 0, 4, 0, 0, 0, 1, 0, -3, 0, -2, 0, 0, -2, -1, -1, 0, -3, 2 ], [ 2, 0, 2, -4, 2, 0, 2, -4, 0, 4, 0, 0, 0, 3, 0, -1, 0, 0, 2, 0, -3, -2, -1, 2, 1, 0 ], [ \
0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 4, -4, 4, -4, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 1, \
1, 1, -3, 4, -3 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 0, 4, 0, 0, 0, 1, 0, -2, 0, 0, 2, 0, -3, -3, 0, 2, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 4, -8, 2, 4, 0, 0, 0, 3, 0,\
 -3, 0, -1, 2, 0, -3, -3, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 10, 7, 13, 20, 18, \
16, 11, 7, 4, 1 ], rlifts := [ [ 0, -1, 1, 1, 0, -3, 1, 1, 0, 2, 0, 0, 0, -1, -1, -1, 0, -2, -1, 0, 1, 0, -2, -2, -1, -2 ], [ 0, -1, 1, 1, 0, -3, 1, 1, 0,\
 2, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, 0, -1, -3, -1, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, -1, 0, 2, 2, 1, 2 ], [ -1, 0, 0, 0, -1, -1,\
 -1, 0, -2, -1, 0, 1, 0, -2, -2, -1, -2 ], [ 1, 0, 0, 0, 1, -1, 2, 0, 3, 2, 0, 0, 1, 3, 1, 0, 2 ], [ -1, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, 0, -1, -3, -1, \
0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1\
, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0\
, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1,\
 -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -10, -6, -13, -20, -18, -16, -11,\
 -7, -4, -1 ], [ 10, 7, 14, 20, 18, 16, 11, 7, 4, 1 ], [ 10, 7, 13, 21, 18, 16, 11, 7, 4, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -30, -21, -39, -60, -54\
, -47, -33, -21, -12, -3 ], [ 10, 7, 13, 20, 18, 16, 12, 7, 4, 1 ], [ 10, 7, 13, 20, 18, 16, 11, 8, 4, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 20, 14, 26\
, 40, 36, 32, 22, 14, 8, 3 ] ], thegtilde := [ [ 1, -10, 10, 10, 0, -30, 10, 10, 0, 20, 0, 0, 0, -10, 0, -15, 0, -25, -15, 0, 5, -5, -25, -15, -5, -20 ], \
[ 0, -6, 7, 7, 0, -21, 7, 7, 0, 14, 0, 0, 0, -7, -1, -10, 0, -17, -10, 0, 4, -3, -17, -11, -4, -14 ], [ 0, -13, 14, 13, 0, -39, 13, 13, 0, 26, 0, 0, 0, -1\
3, -1, -19, 0, -32, -19, 0, 7, -6, -32, -20, -7, -26 ], [ 0, -20, 20, 21, 0, -60, 20, 20, 0, 40, 0, 0, 0, -21, -1, -29, 0, -50, -29, 0, 10, -10, -49, -31,\
 -11, -40 ], [ 0, -18, 18, 18, 1, -54, 18, 18, 0, 36, 0, 0, 0, -19, -1, -26, 0, -45, -26, 0, 9, -9, -44, -28, -10, -36 ], [ 0, -16, 16, 16, 0, -47, 16, 16\
, 0, 32, 0, 0, 0, -16, 0, -24, 0, -40, -24, 0, 8, -8, -40, -24, -8, -32 ], [ 0, -11, 11, 11, 0, -33, 12, 11, 0, 22, 0, 0, 0, -11, -1, -16, 0, -27, -16, 0,\
 6, -5, -27, -17, -6, -22 ], [ 0, -7, 7, 7, 0, -21, 7, 8, 0, 14, 0, 0, 0, -8, -2, -9, 0, -17, -9, 0, 4, -3, -16, -12, -5, -14 ], [ 0, -4, 4, 4, 0, -12, 4,\
 4, 1, 8, 0, 0, 0, -5, 1, -6, 0, -11, -6, 0, 1, -3, -10, -6, -2, -8 ], [ 0, -1, 1, 1, 0, -3, 1, 1, 0, 3, 0, 0, 0, -1, 1, -2, 0, -3, -2, 0, 0, -1, -3, -1, \
0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, 1, 3,\
 0, 2, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 1, 0, 2, -1, 2, 2, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, -2, 2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 2, 0, 1, 1, 1, -\
1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1,\
 0, 1, 1, 0, 1, 1, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -32, \
2, 9, 2, 12, 8, -3, 3, -1, 5, -1, -2, -1, 8, -2, -4, 6 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 9, -2, -12, -8, -10, -5, 6, -\
4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 12, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -\
4, 4, 4, -2 ], [ 8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -1, -4, \
-5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0,\
 -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ \
-1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -2, 2, 2, 2, 4, 2, -2, 0, -2\
, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], G\
ramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 10, -4, 4, -8, 4, 4, -2 ], [ 0, 10, -20, 10, -8, 16, -8, -8, 4 ], [ 2, -4, 10, -8, 6, -8, 4, 4, -2 \
], [ 0, 4, -8, 6, -8, 10, -4, -4, 2 ], [ 0, -8, 16, -8, 10, -20, 10, 8, -4 ], [ 0, 4, -8, 4, -4, 10, -8, -2, 2 ], [ 0, 4, -8, 4, -4, 8, -2, -8, 4 ], [ 0, \
-2, 4, -2, 2, -4, 2, 4, -4 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, -2, 0\
, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1,\
 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -4, 5, -1, 3, -7, 3, 3, -1, 3, -1, 1, -1, -1,\
 -2, -1, 1, -4, -4, -1, 3, 2, -6, -4, 1, -5 ], embQ := [ [ 0, 1, -2, 1, -1, 2, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0\
, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -4, 8, 0, 0, 0, 1\
, 0, -3, 0, -3, -1, 0, -2, -1, -4, 1, -6, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0\
, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [\
 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -\
2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 6, 4, 7, 12, 10, 9, 6, 4, 3, 1 ], rli\
fts := [ [ 0, -1, 2, -1, 1, -2, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, -2, 0, 1, -1 ], [ 0, -1, 2, -1, 1, -2, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, \
0, -1, -1, 1, 0, 0, -2, -1, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 2, 1, 0, 2 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, -2,\
 -1, 0, -2 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 2, 0, -1, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, -2, 0, 1, -1 ], [ 0, -2, 0, 0, 1, -1, \
0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ],\
 [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1\
, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ\
 := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -3, -7, -12, -10, -9, -6, -4, -3, -1 ], [ 12, 8, 15, 24, 20,\
 18, 12, 8, 6, 2 ], [ -6, -4, -7, -11, -10, -9, -6, -4, -3, -1 ], [ 6, 4, 7, 12, 11, 9, 6, 4, 3, 1 ], [ -12, -8, -14, -24, -20, -17, -12, -8, -6, -2 ], [ \
6, 4, 7, 12, 10, 9, 7, 4, 3, 1 ], [ 6, 4, 7, 12, 10, 9, 6, 5, 3, 1 ], [ -6, -4, -7, -12, -10, -9, -6, -4, -2, -1 ], [ 6, 4, 7, 12, 10, 9, 6, 4, 3, 2 ] ], \
thegtilde := [ [ 1, -6, 12, -6, 6, -12, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 3, 0, -12, -3, 3, -9 ], [ 0, -3, 8, -4, 4, -8, 4, 4, -4, 4, 0, 0, 0, \
0, 0, 0, 0, -4, -4, 0, 2, 0, -8, -2, 2, -6 ], [ 0, -7, 15, -7, 7, -14, 7, 7, -7, 7, 0, 0, 0, 0, 0, 0, 0, -7, -7, -1, 4, 0, -14, -3, 4, -10 ], [ 0, -12, 24\
, -11, 12, -24, 12, 12, -12, 12, 0, 0, 0, -1, 1, 0, 0, -13, -12, 0, 5, -1, -24, -6, 6, -18 ], [ 0, -10, 20, -10, 11, -20, 10, 10, -10, 10, 0, 0, 0, -1, 1,\
 0, 0, -11, -10, 0, 4, -1, -20, -5, 5, -15 ], [ 0, -9, 18, -9, 9, -17, 9, 9, -9, 9, 0, 0, 0, 0, 0, 0, 0, -9, -9, -1, 5, 0, -18, -4, 5, -13 ], [ 0, -6, 12,\
 -6, 6, -12, 7, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 3, 0, -12, -3, 3, -9 ], [ 0, -4, 8, -4, 4, -8, 4, 5, -4, 4, 0, 0, 0, -1, 1, 0, 0, -5, -4, 0, 1, \
-1, -8, -2, 2, -6 ], [ 0, -3, 6, -3, 3, -6, 3, 3, -2, 3, 0, 0, 0, -1, 1, 0, 0, -4, -3, 1, 0, -1, -6, -2, 1, -5 ], [ 0, -1, 2, -1, 1, -2, 1, 1, -1, 2, 0, 0\
, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -3, 2, 1, 0, 1, 1, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, -2, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 \
] ] ), rec( GramQ := [ [ -148, -4, 8, -10, 18, 8, 16, -4, 14, -4, -2, -10, -10, 10, 5, 1, 6 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2,\
 -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -10, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 18, -2, -1\
0, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 16, 2, 6, 6, 4, 2, -8, 4, -6, 6\
, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 14, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], \
[ -4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -10, -2, -2, -4, 2, -2,\
 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -10, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 10, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, \
-4, 0, 0, 0 ], [ 5, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 6, -2, 0, 0, -2, \
-2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, 4, -12, 4, 4, 6 ],\
 [ 2, 0, 6, -8, -2, 12, -4, -4, -6 ], [ 0, 0, 4, -2, -8, 14, -4, -4, -6 ], [ 0, 0, -12, 12, 14, -40, 14, 12, 18 ], [ 0, 0, 4, -4, -4, 14, -8, -2, -6 ], [ \
0, 0, 4, -4, -4, 12, -2, -8, -4 ], [ 0, 0, 6, -6, -6, 18, -6, -4, -12 ] ], Sigma := [ [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 0, -2 ], [ -1,\
 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -2, -1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0,\
 -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -\
1, -2, -1, 3, 3, -9, 3, 3, 3, 3, -1, 1, -1, -5, -2, -5, 1, -8, -6, -1, 2, 2, -6, -8, -1, -6 ], embQ := [ [ 0, 0, 1, -1, -1, 3, -1, -1, -1, -1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 \
], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, \
-2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 6, -12, 0, 0, 0, \
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2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ]\
 ], r := [ 10, 7, 14, 20, 17, 15, 10, 6, 3, 1 ], rlifts := [ [ 0, 0, -1, 1, 1, -3, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -2, -1, -2 ], [\
 0, 0, -1, 1, 1, -3, 1, 1, 1, 1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 0, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 0, 2, 3, 0, \
2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3, -2, 0, 0, 0, -2, -3, 0, -2 ], [ 1, 0, 0, 0, 2, 0, 2, 0, 3, 2, 0, 0, 0, 2, 2, 1, 2 ], [ -1, 0, 0, 0, -2, 0, -2, 0, -3\
, -2, 0, 0, 0, -2, -2, -1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0\
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 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1\
, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ -10, -7, -13, -20, -17, -15, -10, -6, -3, -1 ], [ 10, 7, 14, 21, 17, 15, 10, 6, 3, 1 ], [ 10, 7, 14, 20, 18, 15, 10, 6, 3, 1 ], [\
 -30, -21, -42, -60, -51, -44, -30, -18, -9, -3 ], [ 10, 7, 14, 20, 17, 15, 11, 6, 3, 1 ], [ 10, 7, 14, 20, 17, 15, 10, 7, 3, 1 ], [ 10, 7, 14, 20, 17, 15\
, 10, 6, 4, 1 ], [ 10, 7, 14, 20, 17, 15, 10, 6, 3, 2 ] ], thegtilde := [ [ 1, 0, -10, 10, 10, -30, 10, 10, 10, 10, 0, 0, 0, -20, 0, -20, 0, -30, -20, 0, \
0, 0, -20, -25, -5, -20 ], [ 0, 1, -7, 7, 7, -21, 7, 7, 7, 7, 0, 0, 0, -14, 0, -14, 0, -21, -14, 0, 0, 0, -14, -17, -4, -14 ], [ 0, 0, -13, 14, 14, -42, 1\
4, 14, 14, 14, 0, 0, 0, -28, 0, -28, 0, -42, -28, 0, 0, 0, -28, -35, -7, -28 ], [ 0, 0, -20, 21, 20, -60, 20, 20, 20, 20, 0, 0, 0, -41, 1, -40, 0, -61, -4\
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0, -20, 0, -30, -20, 0, 0, 0, -20, -25, -5, -20 ], [ 0, 0, -6, 6, 6, -18, 6, 7, 6, 6, 0, 0, 0, -13, 1, -12, 0, -19, -12, 0, -1, -1, -12, -15, -3, -12 ], [\
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 -2, 0, 0, 0, -2, -2, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
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0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -28, 1\
, 3, -3, 10, 4, 5, -2, 4, -1, -2, -4, -4, 2, 0, -4, 6 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3, -2, -12, -8, -10, -5, 6, -4\
, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -\
4, 4, 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, \
-5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 4, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0,\
 -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ \
-4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2,\
 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], Gr\
amQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2,\
 -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 6, 0, 6 ], [ 0, 0, 0, 0, 0, 6, -8, 2, -6 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 6, -6, 2, -12 ] ], Si\
gma := [ [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -2, 0, -2 ], [ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, \
0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 1, -5, 3, 1, 5, -1, -1, 1, -1, -3, -2, -2, 1, -4, -3, -1, 2, 2, -2, \
-6, 1, -5 ], embQ := [ [ 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2,\
 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, \
1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -3, -2, 0, 0, 0, -4, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0,\
 -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2,\
 0, -6, 0, 0, 0, -1, 0, 3, 0, 2, -1, 0, 3, 3, 2, -1, 2, -1 ] ], r := [ 6, 4, 8, 12, 10, 8, 5, 3, 1, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, \
0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -2, 0, -2 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, -1 ] ], rootsQ := \
[ [ 1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 2, 0, 2 ], [ -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -2, 0, -2 ], [ 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, \
0, 0, 0, 1, -1, 1 ], [ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0,\
 -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, \
-1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0\
, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg \
:= [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -10, -7, -5, -3, -1, -1 ], [ 6, 4, 8, 12, 10, 8, 6, 3, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 12, 8, 16, 24, \
20, 16, 10, 6, 3, 2 ], [ -6, -4, -8, -12, -10, -8, -5, -3, -1, 0 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, -6, 6, 0, 12, -6, 0, 0, 0, -6, 0, -3, 0, -6, -3, 0, \
0, 0, 0, -9, 3, -9 ], [ 0, 1, 0, 0, 0, -4, 4, 0, 8, -4, 0, 0, 0, -4, 0, -2, 0, -4, -2, 0, 0, 0, 0, -6, 2, -6 ], [ 0, 0, 1, 0, 0, -8, 8, 0, 16, -8, 0, 0, 0\
, -8, 0, -4, 0, -8, -4, 0, 0, 0, 0, -12, 4, -12 ], [ 0, 0, 0, 1, 0, -12, 12, 0, 24, -12, 0, 0, 0, -13, 1, -6, 0, -13, -6, 0, -1, -1, 0, -18, 6, -18 ], [ 0\
, 0, 0, 0, 1, -10, 10, 0, 20, -10, 0, 0, 0, -11, 1, -5, 0, -11, -5, 0, -1, -1, 0, -15, 5, -15 ], [ 0, 0, 0, 0, 0, -7, 8, 0, 16, -8, 0, 0, 0, -8, 0, -4, 0,\
 -8, -4, 0, 0, 0, 0, -12, 4, -12 ], [ 0, 0, 0, 0, 0, -5, 6, 0, 10, -5, 0, 0, 0, -5, 0, -2, 1, -5, -3, 0, 0, 0, 0, -8, 2, -8 ], [ 0, 0, 0, 0, 0, -3, 3, 1, \
6, -3, 0, 0, 0, -4, 1, -1, 1, -4, -2, 0, -1, -1, 0, -5, 1, -5 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 3, -1, 0, 0, 0, -2, 1, -1, -1, -2, 0, 0, -1, -1, 0, -1, 1, -1 \
], [ 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0\
, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -40, -5, 0, -7, -4, 1, 7, 0, 9, -4, 4, -2, -2, 6, 6, 8, -2 ], [ -5, -4, -2, -4, -2, -3, 2, -1, 2,\
 -2, 0, -2, -2, 0, 2, 2, -2 ], [ 0, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -7, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, \
2, 2, 0 ], [ -4, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 7, 2, 6,\
 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2,\
 2, 2, -2, -2, 0 ], [ -4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, \
-2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, 0, -4, -2, -4, -2, 2, -2, \
2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -\
2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0\
, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 0, 0, -6 ], [ 0, 0, 0, 0, 0, 0, -8, 0, -6 ], [ 0, 0, \
0, 0, 0, 0, 0, -4, -2 ], [ 0, 0, 0, 0, 0, -6, -6, -2, -12 ] ], Sigma := [ [ -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, -2, -1, -2, -1 ], [ -1, 0, 0, 0, 0, \
0, -1, -1, -2, -1, 0, 0, 0, -2, 0, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, \
-1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 1,\
 -5, 3, 3, -1, 5, -1, 1, -1, -1, -2, -2, 1, -5, -4, -1, 2, 2, -6, -4, -3, -3 ], embQ := [ [ 0, 0, 0, 0, 0, 1, -1, -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -\
1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -2, -2, 0, 0, 0, -1, 0, 1, 0, -1, -3, \
0, 3, 3, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0,\
 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 1, 0, 3, 0, 1, -2, 0, 3, 3, -2, 1, -2, 1 ] ], r := [ 6, 4, 8, 12, 10\
, 8, 5, 3, 2, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, -1, 1, 1, -1, 2, 0, 0, 0, 0, 0, -1, -1, -2, -1, 0, 0, 0, -2, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 1, -1, 2,\
 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, -2, -1, -2, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 2, 1, 2, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, \
-1, -1, 0, 0, 0, -2, -1, -2, -1 ], [ 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, -1, -1, -2, -1, 0, 0, 0, -2, 0, -1, 0 ], [ \
0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, \
1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, \
-1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, \
0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -10, -7, -5, -3, -2, 0 ], [ 6, 4, 8, 12, 10, \
8, 6, 3, 2, 0 ], [ 6, 4, 8, 12, 10, 8, 5, 4, 2, 0 ], [ -6, -4, -8, -12, -10, -8, -5, -3, -1, 0 ], [ 12, 8, 16, 24, 20, 16, 10, 6, 4, 1 ] ], thegtilde := [\
 [ 1, 0, 0, 0, 0, -6, 6, 6, -6, 12, 0, 0, 0, 0, 0, -3, 0, -9, -6, 0, 0, 0, -12, -3, -9, -3 ], [ 0, 1, 0, 0, 0, -4, 4, 4, -4, 8, 0, 0, 0, 0, 0, -2, 0, -6, \
-4, 0, 0, 0, -8, -2, -6, -2 ], [ 0, 0, 1, 0, 0, -8, 8, 8, -8, 16, 0, 0, 0, 0, 0, -4, 0, -12, -8, 0, 0, 0, -16, -4, -12, -4 ], [ 0, 0, 0, 1, 0, -12, 12, 12\
, -12, 24, 0, 0, 0, -1, 1, -7, -2, -20, -12, 0, -1, -1, -24, -5, -17, -5 ], [ 0, 0, 0, 0, 1, -10, 10, 10, -10, 20, 0, 0, 0, -1, 1, -6, -2, -17, -10, 0, -1\
, -1, -20, -4, -14, -4 ], [ 0, 0, 0, 0, 0, -7, 8, 8, -8, 16, 0, 0, 0, 0, 0, -4, 0, -12, -8, 0, 0, 0, -16, -4, -12, -4 ], [ 0, 0, 0, 0, 0, -5, 6, 5, -5, 10\
, 0, 0, 0, 0, 0, -3, -1, -8, -5, 0, 0, 0, -10, -2, -7, -2 ], [ 0, 0, 0, 0, 0, -3, 3, 4, -3, 6, 0, 0, 0, -1, 1, -2, -1, -6, -3, 0, -1, -1, -6, -1, -4, -1 ]\
, [ 0, 0, 0, 0, 0, -2, 2, 2, -1, 4, 0, 0, 0, -1, 1, -2, -2, -5, -2, 0, -1, -1, -4, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, -1, \
0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -18, \
1, 0, -1, 1, 4, 7, -1, 5, -3, 2, 0, 0, 2, 2, 2, 2 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 0, -2, -12, -8, -10, -5, 6, -4, 6,\
 -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 1, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4,\
 4, -2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 7, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -\
2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, \
-2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, \
0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, \
0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp :\
= [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0\
, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -8, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 6, -8, -4 ], [ 0, 0, 0, 0, 0, 0, 6, -4, -12 ] ], Sigma := [ \
[ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, \
-1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 1, -1, 0, -1, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, \
0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 1, -3, -1, 3, 3, 3, -1, 1, -1, -3, -2, -3, 1, -4, -2, -1, 0, 0, -3, -4, \
-1, -3 ], embQ := [ [ 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1\
 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1,\
 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2\
, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2,\
 -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 6, 4, 8, 12, 10, 8, 6, 3, 1, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0\
, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 1, -1, 0, -1, -1, -1, -1, 0, 0, 0 ] ], rootsQ \
:= [ [ 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, -1, 1, 1, 0, 1, 1, 1 ], [ -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, \
1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, \
0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 0, 1, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 1, -1, 0, -1, -1\
, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, \
1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" \
], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -10, -8, -5, -3, -1, 0 ], [ 6, 4, 8, 12, 10, 8, 6, 4, 1, 0 ], [ 6, 4, 8,\
 12, 10, 8, 6, 3, 2, 0 ], [ 6, 4, 8, 12, 10, 8, 6, 3, 1, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, -6, 6, 6, 6, 0, 0, 0, -6, 0, -6, 0, -6, 0, 0, -6, -6, -\
3, -3, -3, -3 ], [ 0, 1, 0, 0, 0, 0, -4, 4, 4, 4, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, -4, -4, -2, -2, -2, -2 ], [ 0, 0, 1, 0, 0, 0, -8, 8, 8, 8, 0, 0, 0, -8,\
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -3, -1, 1, 2, 0, -2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -\
1, -1, 1, 1, 1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -2, -2, 0, 2, -2, -2, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 0, 0, -1, 1, 1, 1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -24, 0, -11, -6, -14, -1, 10, -4, 9, -9, 4, 2, 2, -4, 4, 4, 0 ], [ 0, -4, -2, -4, -2, -3\
, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -11, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1,\
 -4, -4, -2, 2, 2, 0 ], [ -14, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -\
2 ], [ 10, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 9, 2, 6, 8, 6, 2, -6\
, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -9, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2\
, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ -4, 0, -4, -2,\
 -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, \
-2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [\
 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, \
0 ], [ 0, 0, 0, 0, 0, 0, 2, -8, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 8, -12 ] ], Sigma := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0,\
 -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, \
0, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 1, -3,\
 1, 3, -1, -1, -1, 1, -1, -1, -2, 1, 1, -1, -3, -1, 4, 4, -2, -3, 0, -2 ], embQ := [ [ 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [\
 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1\
, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, \
0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, \
0, 1, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, \
0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2,\
 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, \
-1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0,\
 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0,\
 -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := \
[ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -2, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, 0, 0, -2, -1, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -2, -1, 0, -1, -1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, \
1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1\
, -1, -2, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -18, 3, 8, 5, \
15, 4, -3, 1, -5, 5, -4, -2, -2, 2, -4, -6, 4 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8,\
 1, -2, 0, -4, 2, 2, 0 ], [ 5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 15, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, \
-2 ], [ 4, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -1, -4, -5, -2, -\
2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -5, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, \
-2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0\
, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, \
0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp \
:= [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -8, 6, 2 ], [ 0, 0, 0, 0, 0, 0, 6, -8, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, -4 ] ], Sigma := [ [ \
1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1,\
 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1\
, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 1, -3, 3, -1, -1, 3, -1, 1, -1, 1, -2, -1, 1, -2, -2, -1, 2, 2, -3, -2, -1, -1 ], embQ :\
= [ [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4\
, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ]\
, [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, \
0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0\
, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0\
, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1 ] ], rootsQ := [ [ 1, 0, 0, 0, 1, 0, 0, 1,\
 0, 0, -1, 0, 0, -1, 1, 0, 1 ], [ -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0,\
 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -\
1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, -2, 1,\
 -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1,\
 1, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, -1, -1, -\
1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -3, -1, 1, 2, 0, -2, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -2, -2, 0, 2, -2, -2, 1, -1, -1, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, -2, 0, 0, -1, 1, 1, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 0, 0, -\
1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 2, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -20, -3, 8, -1, 10, 1, -3, 2, -1, 4, -2, -4, -4, 6, 0, 0, 0 ], [ -3, -4, -\
2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5,\
 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2\
, 2, 2, -2 ], [ -3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1, 2, 6, 8,\
 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, \
-2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 6, \
0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2,\
 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0,\
 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -8, 6, 2, -2 ], [ 0, 0, 0, 0, 0,\
 6, -8, 0, 2 ], [ 0, 0, 0, 0, 0, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, -2, 2, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 1, 1, 1, 1 ], [\
 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -\
1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, \
-2, 1, 1, 1, -1, -1, -1, 3, 1, -1, 1, -1, -1, -2, -2, 1, -1, 0, -1, 0, 0, 0, -2, 1, -1 ], embQ := [ [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 1, 1, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, \
1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, -1, 1, 0, 0, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 1, 1, 1, 1 ], [ -1, 0, 0, 0, 0, 0, 1,\
 1, 0, -1, 0, 1, 1, -1, -1, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ]\
, [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, \
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0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1\
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 ] ] ), rec( GramQ := [ [ -72, 1, -7, 5, -14, -8, -9, 2, -8, 1, 2, 6, 6, -8, -2, 2, -6 ], [ 1, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ],\
 [ -7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 5, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -14, -2, -10, -6,\
 -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, \
2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -8, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -\
2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 6, -2, -2, -4, 2, -2, 2, -2, 2,\
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], [ -2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -6, -2, 0, 0, -2, -2, 0, 0, \
0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, \
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2 ], [ 0, 0, 0, 0, -4, 6, -2, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 0, -2, -1, -2, -1, 0, 0, 0, -2, -1, 1, -1 ], [ 1, 0, 0, 0, -1, 0, -1, 1, -2, -2, 0, \
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2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 1, 5, -9, 3, 1, 1, 3, -1, \
1, -1, -3, -2, -4, 1, -6, -5, -1, 2, 2, -6, -6, 1, -5 ], embQ := [ [ 0, 0, 0, 0, 2, -3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1\
, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2,\
 0, 0, -4, 8, 0, 0, 0, 3, 0, -1, 0, -1, 1, 0, -1, -2, -3, 3, -6, 3 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 6, -12, 0, 0, 0, -4, 0, 2, 0, 1, -2, 0, 4, 4, 4, -5, 7, -\
5 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1,\
 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 6, 4, 8, 12, 10, 10, 7, 5, 3, 1 ]\
, rlifts := [ [ 0, 0, 0, 0, 2, -3, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 1, -2, -2, 0, 0, 0, -2, -2, 0, -2 ], [ 0, 0, 0, 0, 2, -3, 1, 0, 0, 1, 0, 0, 0, -1, 0, -\
2, -1, -2, -1, 0, 0, 0, -2, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 0, -2, -1, -2, -1, 0, 0, 0, -2, -1, 1, -1 ], [ -1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, \
0, 0, 2, 1, -1, 1 ], [ 1, 0, 0, 0, -1, 0, -1, 1, -2, -2, 0, 0, 0, -2, -2, 0, -2 ], [ -1, 0, 0, 0, 1, 0, 1, -1, 2, 2, 0, 0, 0, 2, 2, 0, 2 ], [ 0, -2, 0, 0,\
 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1,\
 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -\
1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], ro\
otstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 12, 8, 16, 24, 21, 20, 14, 10, 6, 2 ], [ -18, -12, -24, -36, -30, -29, -21, -15, -9, -3 ], [ 6, 4, 8, 12, 10\
, 10, 8, 5, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 6, 4, 8, 12, 10, 10, 7, 5, 3, 2 ] ], thegtilde := [ [ 1, 0, 0, 0\
, 12, -18, 6, 0, 0, 6, 0, 0, 0, -6, 0, -9, 0, -12, -9, 0, 0, 0, -12, -9, 3, -9 ], [ 0, 1, 0, 0, 8, -12, 4, 0, 0, 4, 0, 0, 0, -4, 0, -6, 0, -8, -6, 0, 0, 0\
, -8, -6, 2, -6 ], [ 0, 0, 1, 0, 16, -24, 8, 0, 0, 8, 0, 0, 0, -8, 0, -12, 0, -16, -12, 0, 0, 0, -16, -12, 4, -12 ], [ 0, 0, 0, 1, 24, -36, 12, 0, 0, 12, \
0, 0, 0, -13, 1, -18, 0, -25, -18, 0, -1, -1, -24, -18, 6, -18 ], [ 0, 0, 0, 0, 21, -30, 10, 0, 0, 10, 0, 0, 0, -11, 1, -15, 0, -21, -15, 0, -1, -1, -20, \
-15, 5, -15 ], [ 0, 0, 0, 0, 20, -29, 10, 0, 0, 10, 0, 0, 0, -10, 0, -15, 0, -20, -15, 0, 0, 0, -20, -15, 5, -15 ], [ 0, 0, 0, 0, 14, -21, 8, 0, 0, 7, 0, \
0, 0, -7, 0, -10, 1, -14, -11, 0, 0, 0, -14, -11, 3, -11 ], [ 0, 0, 0, 0, 10, -15, 5, 1, 0, 5, 0, 0, 0, -6, 1, -7, 1, -11, -8, 0, -1, -1, -10, -8, 2, -8 ]\
, [ 0, 0, 0, 0, 6, -9, 3, 0, 1, 3, 0, 0, 0, -4, 1, -5, -1, -7, -4, 0, -1, -1, -6, -4, 2, -4 ], [ 0, 0, 0, 0, 2, -3, 1, 0, 0, 2, 0, 0, 0, -1, 0, -2, -1, -2\
, -1, 0, 0, 0, -2, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 2, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, \
0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -42\
, 3, -10, 2, -17, -3, -1, -1, -1, -3, 3, 7, 6, -8, 0, 0, -2 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -10, -2, -12, -8, -10, -\
5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -17, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4,\
 2, 2, -4, 4, 4, -2 ], [ -3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1\
, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4\
, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 7, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0\
, 0 ], [ 6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ -8, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -\
2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -\
4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -8, 0, -8, 2, 0, 0 ], [ 0\
, 0, 0, 0, -8, -8, 4, 2, 0 ], [ 0, 0, 0, -8, -8, -20, 6, 2, 0 ], [ 0, 0, 0, 2, 4, 6, -4, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2,\
 -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, -1, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1 ], [ 0, -2, 0\
, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, -2, 1, 3, -1, -5, 1, 5, 1, 1, -1, 1, -1, -3, -2, -1, 1, -4, -4, -1\
, 4, 3, -4, -5, -2, -4 ], embQ := [ [ 0, 0, 0, 1, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [\
 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, \
1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -2, -1, 3, -3 ], [ 0, 0, 0, 2, -2, -2, 4, -4, 2, 0, 0, 0, 0, 1,\
 0, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 4, -8, 6, -4, 2, 0, 0, 0, 0, -1, 0, -3, 0, -4, -3, 0, 1, 1, -3, -4, 3, -4 ], [ 0, 0, 0, 0, 0, 2, \
-4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 4, 8, 12, 11, 9, 6, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 1, -\
1, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 1, -1, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 1, -1, -\
1, -1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, -1, -1 ], [ -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 1, 1 ], [ 1, 0,\
 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1 ], [ -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, 0, 1, 1, 1, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2\
, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -\
1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A\
1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 8, 13, 11,\
 9, 6, 3, 2, 1 ], [ -6, -4, -8, -12, -10, -9, -6, -3, -2, -1 ], [ -6, -4, -8, -12, -11, -8, -6, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 12, 8, 1\
6, 24, 22, 18, 12, 7, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 6, -6, -6, 0, 12, 0, 0, 0, 0\
, 0, -6, 0, 0, 0, -6, -6, 0, 6, 3, -6, -6, -6, -6 ], [ 0, 1, 0, 4, -4, -4, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, 4, 2, -4, -4, -4, -4 ], [ 0, 0, 1,\
 8, -8, -8, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, -8, 0, 8, 3, -8, -8, -8, -8 ], [ 0, 0, 0, 13, -12, -12, 0, 24, 0, 0, 0, 0, 0, -13, 1, 0, 0, -13, -12, 0\
, 11, 5, -12, -12, -12, -12 ], [ 0, 0, 0, 11, -10, -11, 0, 22, 0, 0, 0, 0, 0, -12, 1, 0, 0, -12, -11, 0, 10, 4, -11, -11, -11, -11 ], [ 0, 0, 0, 9, -9, -8\
, 0, 18, 0, 0, 0, 0, 0, -9, 0, 0, 0, -9, -9, 0, 9, 3, -9, -9, -9, -9 ], [ 0, 0, 0, 6, -6, -6, 1, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, -6, -6, 0, 6, 3, -6, -6, \
-6, -6 ], [ 0, 0, 0, 3, -3, -3, 0, 7, 0, 0, 0, 0, 0, -4, 1, 0, 0, -4, -3, 0, 2, 1, -3, -3, -3, -3 ], [ 0, 0, 0, 2, -2, -2, 0, 4, 1, 0, 0, 0, 0, -3, 1, 0, \
0, -3, -2, 0, 1, 0, -2, -2, -2, -2 ], [ 0, 0, 0, 1, -1, -1, 0, 2, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, -4, -2, -2, -6, -4, 2, 0, 2, -2, 2, 0, 0, 0, 3, 7, \
-6 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -2, -4, -8, -\
12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -6, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -4, -3, -5, -5, -4, -6, 2, -2, 2\
, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0\
 ], [ 2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -\
2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0\
, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 3, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 7, 2, 2, 2, 4, 2, -2\
, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -4\
, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -8, 6, -4, 4, -4, 4, -2 ], [ 2, 0, 6, -8, 6, -4, 4, -4, 2 ], [ 0, 0, -4, 6, -8, 6, -4, 4, -2 ], [ 0, 0, 4, -4, 6, -8, 6, \
-4, 2 ], [ 0, 0, -4, 4, -4, 6, -8, 6, -2 ], [ 0, 0, 4, -4, 4, -4, 6, -8, 4 ], [ 0, 0, -2, 2, -2, 2, -2, 4, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, \
0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0\
, 0, 0 ] ], adjweyl := [ -1, -2, 3, -1, 3, -5, 3, -1, 3, -1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 2, 2, -2, -4, 3, -4 ], embQ := [ [ 0, 0, 1, -1, 1, -1, \
1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp\
 := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, 4, 0, 0,\
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[ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, \
2, 2, 0, 0, 0, 0 ] ], r := [ 2, 1, 2, 4, 3, 3, 2, 2, 1, 1 ], rlifts := [ [ 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1 ], [ 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -2, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -\
2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2,\
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, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 3, 2, 2, 1, 1 ], [ -2, -1, -2, -3, -3, -3, -2, -2, -1, -1 ], [ 2, 1, 2, 4, 4, 3, 2, 2, 1, 1 ], [ -2, -1, -2, -4, -3, -2,\
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3, -2, -2, -1, 0 ] ], thegtilde := [ [ 1, 0, 2, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3, -2 ], [ 0, 1, 1, -1, 1, -1, 1, -1, \
1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, 0, 3, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3, -2 ], [ 0, 0, \
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, -1, 0, -2, 5, -3 ], [ 0, 0, 3, -3, 3, -2, 3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, -3 ], [ 0, 0, 2, -2, 2, -2, 3, -2, 2, -2, 0, 0, 0,\
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-1, 1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, -1, 2, -1 ], [ 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0\
, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2\
, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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2, 0, 4, 6, 6, -3, 0, 2, -2 ], [ 2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2,\
 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -13, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -1, -3, \
-5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -4, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4\
, -2, -2, -2, -2, 0, 0, 0 ], [ -2, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], \
[ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 6, -2, 0, -4, 2, -2, 2, -2\
, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ -3, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2\
 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2\
, 0, 0, 0, 0, 0 ], [ 0, -8, 6, -4, 0, 4, 0, 0, -2 ], [ 0, 6, -8, 6, 0, -4, 0, 0, 2 ], [ 2, -4, 6, -8, 2, 4, 0, 0, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ \
0, 4, -4, 4, 2, -8, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, -2, 2, -2, 0, 2, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0\
, -1, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, 0, -1 ], [ 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 0, -1, 0, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0\
, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0\
, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, 0, -1, 3, 1, -5, 1, 1, 3, -1, -1, 1, -1, -3, -2, -2, 1, -3, -3, -1, 3, 3, -2, -5, 0, -3 ], embQ := [ \
[ 0, 1, -1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
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 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0,\
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, 2, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 4, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ]\
, [ 0, 0, 0, 0, 2, -4, 2, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -3, -2, 0, 0, 0, -4, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, \
0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, \
0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 2, 1, 3, 4, 4, 4, 3, 2, 1, 1 ], rlifts := [ [ 0, 1, -1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 1, 0\
, 0, -1, 1, 1, 0, -1, 0, 0 ], [ 0, 1, -1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, 0, -1 ] ], rootsQ := [ [ -1, 0, 0, 0, 1, \
-1, 1, 1, 1, 1, -1, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 1, -1, -1, 0, 1, 0\
, 0 ], [ 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 0, -1, 0, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1,\
 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0,\
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1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 4, 4, 3, 2, 1, 1 ], [ -2, -1, -2, -4, -4, -4, -3, -2, -1, -1 ], [ 2, 1, 3, 5, 4, 4, 3, 2, 1, 1 ], [ 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0 ], [ -2, -1, -3, -4, -4, -3, -3, -2, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 3, 4, 4, 4, 3, 2, 2,\
 1 ], [ -2, -1, -3, -4, -4, -4, -3, -2, -1, 0 ] ], thegtilde := [ [ 1, 2, -2, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, -2, 0, -1, 0, -1, -1, 0, 1, 1, 0, -2, 0, -1 \
], [ 0, 2, -1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 0, -1, 0, 0 ], [ 0, 3, -2, 3, 0, -3, 0, 0, 3, -3, 0, 0, 0, -3, -1, -1, 1, -1,\
 -1, -1, 2, 2, 0, -3, 0, -1 ], [ 0, 4, -4, 5, 0, -4, 0, 0, 4, -4, 0, 0, 0, -5, -1, -1, 2, -2, -1, -2, 2, 2, 0, -4, 0, -1 ], [ 0, 4, -4, 4, 1, -4, 0, 0, 4,\
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[ 0, 3, -3, 3, 0, -3, 1, 0, 3, -3, 0, 0, 0, -3, -1, -1, 1, -1, -1, -1, 2, 2, 0, -3, 0, -1 ], [ 0, 2, -2, 2, 0, -2, 0, 1, 2, -2, 0, 0, 0, -3, -1, 0, 2, -1,\
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0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, -2, 1, 2, 1, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), r\
ec( GramQ := [ [ -30, 3, 9, 10, 11, 1, -12, 4, -12, 10, -4, 1, 1, 0, -6, -6, 0 ], [ 3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 9, -2\
, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 10, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 11, -2, -10, -6, -16, -4,\
 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -12, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, \
-2, -2, 0 ], [ 4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -12, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 10, -2, -8, \
-8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -\
2, -4, -2, 0, 0, 0, 0 ], [ 1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -6\
, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 4, -4, 4, -6 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2\
, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 4, 0, 0, 2, -8, 6, -4, 6 ], [ 0, -4, 0, 0, 0, 6, -8, 6, -6 ], [ 0, 4, 0, 0, 0, -4, 6, -8, 8 ], [ 0, -\
6, 0, 0, 0, 6, -6, 8, -12 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, -1, -1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0,\
 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, \
1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ -1, 0, 1, 1, 1, -5, 3, -1, 3, 3, -1, 1, -1, -1, -2\
, -3, 1, -4, -2, -1, 1, 1, -4, -4, -1, -3 ], embQ := [ [ 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1,\
 -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 2, 0, -3, 3, -3 ], [ 0, 0, \
0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, \
-1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 4, 2, 5, 8, 7, 6, 4, 3, 1, 0 ], rlifts := [ [\
 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, -1, -1, -1 ], [ 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, \
-1, 0, 0, -1, 0, 0, 0 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, -1, -1, -\
1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0,\
 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 1, 0, 0\
, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", \
"A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 6, 4, 3, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -4, -2, -5, -8, -7, -5, -4, -3, -1, 0 ], [ 4, 2, 5, 8, 7, 6, 5, 3, 1, 0 ], [ -4, -2, -5, -8, -\
7, -6, -4, -2, -1, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 3, 2, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 3, 1, 1 ] ], thegtilde := [ [ 1, 4, 0, 0, 0, -4, 4, -4, 4, 4, 0, 0, 0, 0,\
 0, -4, 0, -4, 0, 0, -2, -2, -4, -2, -2, -2 ], [ 0, 3, 0, 0, 0, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -1, -1, -2, -1, -1, -1 ], [ 0, 5, 1, 0, 0\
, -5, 5, -5, 5, 5, 0, 0, 0, 0, 0, -5, 0, -5, 0, 1, -3, -3, -5, -3, -3, -3 ], [ 0, 8, 0, 1, 0, -8, 8, -8, 8, 8, 0, 0, 0, -1, 1, -8, 0, -9, 0, 0, -5, -5, -8\
, -4, -4, -4 ], [ 0, 7, 0, 0, 1, -7, 7, -7, 7, 7, 0, 0, 0, -1, 1, -7, 0, -8, 0, 1, -5, -5, -7, -4, -4, -4 ], [ 0, 6, 0, 0, 0, -5, 6, -6, 6, 6, 0, 0, 0, 0,\
 0, -6, 0, -6, 0, 2, -4, -4, -6, -4, -4, -4 ], [ 0, 4, 0, 0, 0, -4, 5, -4, 4, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -2, -2, -4, -2, -2, -2 ], [ 0, 3, 0, 0, 0\
, -3, 3, -2, 3, 3, 0, 0, 0, -1, 1, -3, 0, -4, 0, -1, -2, -2, -3, -1, -1, -1 ], [ 0, 1, 0, 0, 0, -1, 1, -1, 2, 1, 0, 0, 0, -1, 1, -1, 0, -2, 0, 1, -2, -2, \
-1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, -2, -1, -1, 0, 1, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 2, -1, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -10, 2, -3, -1, -1, 0, 1, -2, 1, -1, -1, 0, 0, -4, -1, -4, 3 ], [ 2, -\
4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6\
, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -1, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 0, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -\
2, -2, 2, 2, -2 ], [ 1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6\
, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -1, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4,\
 -2, -2, 0, -2, -2, 0 ], [ 0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ \
-4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, \
2, -2, 0, 0, 0, -2, -4, 2 ], [ 3, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0,\
 0, 4, -4, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 4, 0,\
 0, 0, 2, -8, 6, -2 ], [ 0, -4, 0, 0, 0, 0, 6, -8, 4 ], [ 0, 2, 0, 0, 0, 0, -2, 4, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, \
1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1,\
 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := \
[ -1, 0, 1, 1, 1, -3, -1, 3, -1, 3, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 2, 2, -4, -2, -2, -1 ], embQ := [ [ 0, 1, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0,\
 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1,\
 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1\
, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 0, 0, 0, -2, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, \
-4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r\
 := [ 1, 0, 1, 2, 2, 2, 2, 1, 1, 0 ], rlifts := [ [ 0, 1, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 1, 0, 0, 0, 0\
, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ], [ -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ]\
, [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1,\
 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0,\
 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0,\
 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2, 2, 2, 1, 1, 0 ], [ 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 0, -1, -2, -2, -2, -\
1, -1, -1, 0 ], [ 1, 0, 1, 2, 2, 2, 2, 2, 1, 0 ], [ -1, 0, -1, -2, -2, -2, -2, -1, 0, 0 ], [ 1, 0, 1, 2, 2, 2, 2, 1, 1, 1 ] ], thegtilde := [ [ 1, 1, 0, 0\
, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 1, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0 ], [ 0, 2, 0, 1, 0, 0, -2, 2, -2, 2, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, \
-1, -1, -2, 0, -2, 0 ], [ 0, 2, 0, 0, 1, 0, -2, 2, -2, 2, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, -2, 0, -2, 0 ], [ 0, 2, 0, 0, 0, 1, -2, 2, -2, 2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 1 ], [ 0, 2, 0, 0, 0, 0, -1, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0 ], [ 0, 1, 0, 0, 0, 0, -1\
, 2, -1, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, -1, 0, -1, 0 ], [ 0, 1, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, -1, -1, -1, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1\
, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ] ] ), rec( GramQ := [ [ -24, -5, -3, -2, -7, -6, 2, 0, 1, -3, 2, 0, 0, 0, 4, 8, -8 ], [ -5, -4, -2, -4, -2, -3, 2, -1, \
2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -3, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -2, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -\
2, 2, 2, 0 ], [ -7, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -6, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 2, 2\
, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0\
, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ \
0, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 0, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2\
, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [\
 -8, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 8, -4, 6, -4, 2, -2, 0, 0 ], [ 8, -20, 10, -8, 8, -4, 4, 0, 0 ], [ -4, 1\
0, -8, 6, -4, 2, -2, 0, 0 ], [ 6, -8, 6, -8, 6, -2, 2, 0, 0 ], [ -4, 8, -4, 6, -8, 4, -2, 0, 0 ], [ 2, -4, 2, -2, 4, -4, 2, 0, 0 ], [ -2, 4, -2, 2, -2, 2,\
 -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, -1 ], [ 1, 0\
, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1,\
 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -6, 3\
, -1, 3, -5, 3, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -3, -3, -1, 2, 2, -2, -4, 3, -5 ], embQ := [ [ 1, -2, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, -2, 4, -2, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, -2, -2, 0, 1, 0, -2, -2, -1, 0 ], [ 0, -4, 2, 0, 0, 4, -8, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, -2, -3, 3, 2, 2, 1 ], [ 0, 2,\
 -4, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, -2, 0, 1, 2, -1, -2, -2, 0 ], [ 2, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, -2, -1\
, 1, 2, 2, 0 ], [ 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, -1,\
 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, \
2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 4, \
4, 6, 9, 7, 6, 4, 3, 2, 1 ], rlifts := [ [ 1, -2, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, -2 ], [ 1, -2, 1, -1, 1, -1, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, -1 ], [ -1, 0, 0, 0, 0, 0\
, 0, 1, 1, 0, 0, 0, 0, 0, 0, -2, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1, 2 ], \
[ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0\
, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2\
, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0\
, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 5, 4, 6, 9, 7, 6, 4, 3, 2, 1 ], [ -8, -7, -12, -18, -14, -12, -8, -6, -4, -2\
 ], [ 4, 4, 7, 9, 7, 6, 4, 3, 2, 1 ], [ -4, -4, -6, -8, -7, -6, -4, -3, -2, -1 ], [ 4, 4, 6, 9, 8, 6, 4, 3, 2, 1 ], [ -4, -4, -6, -9, -7, -5, -4, -3, -2, \
-1 ], [ 4, 4, 6, 9, 7, 6, 5, 3, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde \
:= [ [ 5, -8, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 6, -6 ], [ 4, -7, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, \
-2, 0, 0, 0, 0, -2, 6, -6 ], [ 6, -12, 7, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, -3, 9, -9 ], [ 9, -18, 9, -8, 9, -9, 9, 0, 0, 0,\
 0, 0, 0, -1, 1, 0, 1, -5, -5, 0, -1, -1, 0, -5, 13, -14 ], [ 7, -14, 7, -7, 8, -7, 7, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -4, -4, 0, -1, -1, 0, -4, 10, -11 ],\
 [ 6, -12, 6, -6, 6, -5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, -3, 9, -9 ], [ 4, -8, 4, -4, 4, -4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2,\
 0, 0, 0, 0, -2, 6, -6 ], [ 3, -6, 3, -3, 3, -3, 3, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, -2, 0, -1, -1, 0, -2, 4, -5 ], [ 2, -4, 2, -2, 2, -2, 2, 0, 1, 0, 0\
, 0, 0, -1, 1, 0, 0, -2, -1, 0, -1, -1, 0, -1, 3, -3 ], [ 1, -2, 1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 3, 0, 0, -1, 1, 1, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, -1, -1,\
 0, -2, -2, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -64, -2, -2, 6, -10, -8, -9, 3, -9, 3, \
1, 5, 4, -4, 0, 4, -10 ], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, \
0 ], [ 6, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -8, -3, -5, \
-5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2\
, -2, -2, -2, 0, 0, 0 ], [ -9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 3, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 1,\
 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 5, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 4, -2, 0, -4, 2, -2, 2, -2, 2,\
 -2, -2, -2, -4, 0, 0, 0, 0 ], [ -4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], \
[ 4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 8, -4, 2, \
0, 8, -4, -4, -6 ], [ 8, -20, 10, 0, 0, -16, 8, 8, 12 ], [ -4, 10, -8, 2, 0, 8, -4, -4, -6 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0\
 ], [ 8, -16, 8, 0, 2, -20, 10, 8, 12 ], [ -4, 8, -4, 0, 0, 10, -8, -2, -6 ], [ -4, 8, -4, 0, 0, 8, -2, -8, -4 ], [ -6, 12, -6, 0, 0, 12, -6, -4, -12 ] ],\
 Sigma := [ [ 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, -1, 0, 0, -1, -1, 1, -2 ], [ 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 1, 0, -1, -1, -2, 0, -3 ], [ 0, -2, 0, 0, 1\
, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -6, 3, 1, 1, -7, 3, 3, 3, 3, -1, 1, -1, -3, -2, -3, 1, -6, -4, -1, 2, 1, \
-4, -6, 1, -7 ], embQ := [ [ 1, -2, 1, 0, 0, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -4, 2\
, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 1, 5, -2, 6, -3 ], [ 0, 2, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -2,\
 0, -4, 2 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1,\
 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0\
, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 2, 0, -2, 0, -1, 1, 0, -2, -2, -1, 1, -1, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 2, -6, 6, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -4, 2, -4, 2 ] ], r := [ 10, 8, 14, 21, 18, 15, 10, 6, 3, 1 ], rlifts := [ [ 1, -2, 1, 0, 0, -2, \
1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, -1, 0, 0, -1, -1, 1, -2 ], [ 1, -2, 1, 0, 0, -2, 1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, 1, 0, -1, -1, -2, 0\
, -3 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 0, -1, 0, -2, -1, -1, 0, 0, -1, -1, 1, -2 ], [ -1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, -1, 2 ], [ 1, 0, 0, 0\
, -1, 0, -1, 0, -2, -1, 1, 0, -1, -1, -2, 0, -3 ], [ -1, 0, 0, 0, 1, 0, 1, 0, 2, 1, -1, 0, 1, 1, 2, 0, 3 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0,\
 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1\
, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", \
"A1", "A1", "A1" ], theg := [ [ 11, 8, 14, 21, 18, 15, 10, 6, 3, 1 ], [ -20, -15, -28, -42, -36, -30, -20, -12, -6, -2 ], [ 10, 8, 15, 21, 18, 15, 10, 6, \
3, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -20, -16, -28, -42, -36, -29, -20, -12, -6, -2 ], [ 10, 8, 14, 21, 18, 15, 1\
1, 6, 3, 1 ], [ 10, 8, 14, 21, 18, 15, 10, 7, 3, 1 ], [ 10, 8, 14, 21, 18, 15, 10, 6, 4, 1 ], [ 10, 8, 14, 21, 18, 15, 10, 6, 3, 2 ] ], thegtilde := [ [ 1\
1, -20, 10, 0, 0, -20, 10, 10, 10, 10, 0, 0, 0, -10, 0, -10, 0, -20, -10, 0, 0, -5, -10, -15, 5, -25 ], [ 8, -15, 8, 0, 0, -16, 8, 8, 8, 8, 0, 0, 0, -8, 0\
, -8, 0, -16, -8, 0, 0, -4, -8, -12, 4, -20 ], [ 14, -28, 15, 0, 0, -28, 14, 14, 14, 14, 0, 0, 0, -14, 0, -14, 0, -28, -14, 0, 0, -7, -14, -21, 7, -35 ], \
[ 21, -42, 21, 1, 0, -42, 21, 21, 21, 21, 0, 0, 0, -22, 1, -21, 0, -43, -21, 1, -1, -12, -21, -32, 10, -53 ], [ 18, -36, 18, 0, 1, -36, 18, 18, 18, 18, 0,\
 0, 0, -19, 1, -18, 0, -37, -18, 0, -1, -10, -18, -27, 9, -45 ], [ 15, -30, 15, 0, 0, -29, 15, 15, 15, 15, 0, 0, 0, -15, 0, -15, 0, -30, -15, -1, 0, -7, -\
15, -22, 8, -37 ], [ 10, -20, 10, 0, 0, -20, 11, 10, 10, 10, 0, 0, 0, -10, 0, -10, 0, -20, -10, 0, 0, -5, -10, -15, 5, -25 ], [ 6, -12, 6, 0, 0, -12, 6, 7\
, 6, 6, 0, 0, 0, -7, 1, -6, 0, -13, -6, 0, -1, -4, -6, -9, 3, -15 ], [ 3, -6, 3, 0, 0, -6, 3, 3, 4, 3, 0, 0, 0, -4, 1, -3, 0, -7, -3, 1, -1, -3, -3, -5, 1\
, -8 ], [ 1, -2, 1, 0, 0, -2, 1, 1, 1, 2, 0, 0, 0, -1, 0, -1, 0, -2, -1, 1, 0, -1, -1, -2, 0, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, -2, 0, -1, 0, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 1, 1, -1, 1, -3, 1, 2, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -1, -1, -1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, -1, 0, -1, \
-1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -30, -5, -7, -5, -16, -5, 3, 0, 5, -5, 5, 2, 2, 0, 6, 9, -7 ], [ -5, -4, -2, -4\
, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -7, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -5, -4, -8, -12, -6, -5, 6, -5, 8, \
-8, -1, -4, -4, -2, 2, 2, 0 ], [ -16, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, \
2, 2, -2 ], [ 3, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 5, 2, 6, 8, 6, \
2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 5, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, \
0, -2, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4,\
 -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 9, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0,\
 0, -2, -4, 2 ], [ -7, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 4, 0, 2, 0, 0, 4, -4, -2 ], [ 4, -8, 2, 0, 0, 0, -4, 4\
, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 4, -4, 0, 0, 0, 2\
, -8, 6, 2 ], [ -4, 4, 0, 0, 0, 0, 6, -8, 0 ], [ -2, 2, 0, 0, 0, 0, 2, 0, -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1 ], [ 1,\
 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, \
1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -4,\
 1, 1, 1, -3, -1, 3, 3, -1, -1, 1, -1, -3, -2, -1, 1, -2, -2, -1, 2, 2, 0, -4, 2, -4 ], embQ := [ [ 1, -1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 2,\
 -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, -2, -1, 1, 0, 0 ], [ 0, 2,\
 -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0,\
 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -\
2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, -2, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -2, -2, -1, 2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4\
, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 3, 3, \
5, 7, 6, 5, 4, 2, 1, 1 ], rlifts := [ [ 1, -1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1 ], [ 1, -1, 0, 0, 0, 0, -1, 1, 1\
, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1 ], [ -1, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, -1, 1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1 ], [ -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ], [ 0,\
 -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1,\
 -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1\
, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0,\
 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 4, 3, 5, 7, 6, 5, 4, 2, 1, 1 ], [ -3, -2, -5, -7, -6, -5, -4, -2, -1, -1 ], [ 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -3, -3, -5, -7, -6, \
-5, -3, -2, -1, -1 ], [ 3, 3, 5, 7, 6, 5, 4, 3, 1, 1 ], [ 3, 3, 5, 7, 6, 5, 4, 2, 2, 1 ], [ -3, -3, -5, -7, -6, -5, -4, -2, -1, 0 ] ], thegtilde := [ [ 4,\
 -3, 0, 0, 0, 0, -3, 3, 3, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 3, -3 ], [ 3, -2, 0, 0, 0, 0, -3, 3, 3, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0\
, 3, -2, 3, -3 ], [ 5, -5, 1, 0, 0, 0, -5, 5, 5, -5, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 5, -2, 5, -5 ], [ 7, -7, 0, 1, 0, 0, -7, 7, 7, -7, 0, 0, 0, -8, \
1, 0, 0, -1, 0, 0, -1, -1, 7, -4, 7, -7 ], [ 6, -6, 0, 0, 1, 0, -6, 6, 6, -6, 0, 0, 0, -7, 1, 0, 0, -1, 0, 0, -1, -1, 6, -3, 6, -6 ], [ 5, -5, 0, 0, 0, 1,\
 -5, 5, 5, -5, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 5, -3, 5, -5 ], [ 4, -4, 0, 0, 0, 0, -3, 4, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -3, 4, -4 ]\
, [ 2, -2, 0, 0, 0, 0, -2, 3, 2, -2, 0, 0, 0, -3, 1, 0, 0, -1, 0, 0, -1, -1, 2, -1, 2, -2 ], [ 1, -1, 0, 0, 0, 0, -1, 1, 2, -1, 0, 0, 0, -2, 1, 0, 0, -1, \
0, 0, -1, -1, 1, -1, 1, -1 ], [ 1, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ] ] ), rec( GramQ := [ [ -58, 0, -13, 0, -21, -8, -1, -1, -1, -5, 4, 6, 6, -9, 2, 4, -6 ], [ 0,\
 -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -13, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -12, -6, -5,\
 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -21, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -8, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -\
2, -2, -2, 2, 2, -2 ], [ -1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -1\
, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0\
, -4, -2, -2, 0, -2, -2, 0 ], [ 6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 \
], [ -9, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 4, 2, 2, 2, 4, 2, -2, 0, -\
2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 4, 0, 2, -4, 8, 0, -8, 2 ], [ 4, -8, 2,\
 0, 4, -8, 0, 8, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ -4, 4, 0, 2, -8, 10, 0, -8, 2 ], [ 8, -8, 0, 0, 10, -20, 2, 16, -\
4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -8, 8, 0, 0, -8, 16, 2, -20, 6 ], [ 2, -2, 0, 0, 2, -4, 0, 6, -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, -1, 0, 1, -1, -1\
, -1, 1, 1, -1, -1, 0, -1 ], [ 1, 0, 0, 0, -1, 1, -1, -1, -2, -2, 1, 0, 0, -2, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0,\
 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, \
1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -4, 1, 1, 3, -7, 1, 5, -1, 3, -1, 1, -1, -3, -2, -2, 1, -5, -5, -1, 3, 3, -5, -5, 0, -5 ], embQ := [ [ 1, -1, 0, 0, 1, \
-2, 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQp\
erp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0\
, 1, 0, 0, 1, 0, 3, -1, 4, -2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, -2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, -1, 2, -4, 2 ], [ 0, 0, 0, 0, \
2, -4, 2, 0, 4, -8, 0, 0, 0, -3, 0, 1, 0, 0, -2, 0, 3, 3, 2, -4, 5, -4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, -2, 8, 0, 0, 0, 3, 0, -3, 0, -2, 1, 0, -3, -3, -3, 2, -3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 1, \
-1, 0, 2, 2, 0, 0, 0, 0 ] ], r := [ 6, 5, 9, 13, 11, 10, 7, 4, 3, 1 ], rlifts := [ [ 1, -1, 0, 0, 1, -2, 0, 2, -1, 1, 0, 0, 0, -1, 1, -1, -1, -2, -2, 1, 0\
, 0, -2, -1, 0, -2 ], [ 1, -1, 0, 0, 1, -2, 0, 2, -1, 1, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 1, 1, -1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, -1, 0, \
1, -1, -1, -1, 1, 1, -1, -1, 0, -1 ], [ -1, 0, 0, 0, 1, 1, 0, -1, 1, 1, 1, -1, -1, 1, 1, 0, 1 ], [ 1, 0, 0, 0, -1, 1, -1, -1, -2, -2, 1, 0, 0, -2, -1, 0, \
-2 ], [ -1, 0, 0, 0, 1, -1, 1, 1, 2, 2, -1, 0, 0, 2, 1, 0, 2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0\
, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0\
, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 7, 5, 9, 13,\
 11, 10, 7, 4, 3, 1 ], [ -6, -4, -9, -13, -11, -10, -7, -4, -3, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 5, 9, 13, 1\
2, 10, 7, 4, 3, 1 ], [ -12, -10, -18, -26, -22, -19, -14, -8, -6, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 12, 10, 18, 26, 22, 20, 14, 9, 6, 2 ], [ -6, -\
5, -9, -13, -11, -10, -7, -4, -2, -1 ], [ 6, 5, 9, 13, 11, 10, 7, 4, 3, 2 ] ], thegtilde := [ [ 7, -6, 0, 0, 6, -12, 0, 12, -6, 6, 0, 0, 0, -6, 0, -3, 0, \
-9, -9, 0, 3, 3, -9, -6, 0, -9 ], [ 5, -4, 0, 0, 5, -10, 0, 10, -5, 5, 0, 0, 0, -5, 1, -3, -1, -8, -8, 1, 2, 2, -8, -5, 0, -8 ], [ 9, -9, 1, 0, 9, -18, 0,\
 18, -9, 9, 0, 0, 0, -9, 1, -5, -1, -14, -14, 1, 4, 4, -14, -9, 0, -14 ], [ 13, -13, 0, 1, 13, -26, 0, 26, -13, 13, 0, 0, 0, -14, 2, -7, -1, -21, -20, 1, \
5, 5, -20, -13, 0, -20 ], [ 11, -11, 0, 0, 12, -22, 0, 22, -11, 11, 0, 0, 0, -12, 2, -6, -1, -18, -17, 1, 4, 4, -17, -11, 0, -17 ], [ 10, -10, 0, 0, 10, -\
19, 0, 20, -10, 10, 0, 0, 0, -10, 0, -5, 0, -15, -15, 0, 5, 5, -15, -10, 0, -15 ], [ 7, -7, 0, 0, 7, -14, 1, 14, -7, 7, 0, 0, 0, -7, 1, -4, -1, -11, -11, \
1, 3, 3, -11, -7, 0, -11 ], [ 4, -4, 0, 0, 4, -8, 0, 9, -4, 4, 0, 0, 0, -5, 3, -3, -2, -8, -7, 2, 0, 0, -7, -4, 0, -7 ], [ 3, -3, 0, 0, 3, -6, 0, 6, -2, 3\
, 0, 0, 0, -4, 0, -1, 1, -5, -4, -1, 1, 1, -4, -3, 0, -4 ], [ 1, -1, 0, 0, 1, -2, 0, 2, -1, 2, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, 1, 1, -1, -1, 0, -1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -2, -3, -2, 0, 2, -1, -\
3, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, \
-1, -2, -3, -1, 2, -3, -3, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -2, 2, 2, 1, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, -1, -1, 0, 0, -1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 2, 1, -2, 1, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -1, 0, 2, -1, -1, -1, 0,\
 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -\
2, -1, -1, 2, -1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -62\
, -3, 3, 7, -6, -6, -12, 6, -10, 6, 2, 4, 4, 1, 0, 6, -10 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 3, -2, -12, -8, -10, -5, \
6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 7, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -6, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, \
2, -4, 4, 4, -2 ], [ -6, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -12, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 6, -1\
, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -10, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 6, -2, -8, -8, -6, -4, 6, -4, 6,\
 -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 \
], [ 4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 1, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0,\
 -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] \
], GramQperp := [ [ -8, -2, 0, 2, -4, 2, -2, -6, 0 ], [ -2, -8, 2, 0, -2, -2, 0, -6, 2 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], \
[ -4, -2, 0, 2, -8, 4, -2, -6, 0 ], [ 2, -2, 0, 0, 4, -8, 4, 0, 2 ], [ -2, 0, 0, 0, -2, 4, -4, -2, 0 ], [ -6, -6, 0, 0, -6, 0, -2, -12, 2 ], [ 0, 2, 0, 0,\
 0, 2, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -1, -1, -1, 2, -2 ], [ 1, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, 0, 1, -2, 1, -2 \
], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1\
, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -4, 1, 1, 3, -7, 3, -1, 5, 1, -1, 1, -1, -3, -2, -4, 1\
, -5, -3, -1, 1, 1, -2, -6, 3, -6 ], embQ := [ [ 1, -1, 0, 0, 1, -2, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, -2, 0, -1,\
 0, 1 ], [ 0, -4, 2, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1,\
 -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0,\
 0, 2, 0, 0, 0, 1, 2, 0, 0, -1, 2, 1, -1, 1 ], [ 0, 0, 0, 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, -3, 0, 2, 2, -4, -1, -1, -1 ], [ 0, 0, 0, 0, 0, \
2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, 0, -2, -2, 2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 4, -6, 0, 2, 0, 0, 0, 3, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 5, 9, 13, 11, 10, 7, 5, 2, 1 ], rlifts := [ [ 1, -1, 0\
, 0, 1, -2, 1, -1, 2, 0, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -1, -1, -1, 2, -2 ], [ 1, -1, 0, 0, 1, -2, 1, -1, 2, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0\
, 0, 1, -2, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -1, -1, -1, 2, -2 ], [ -1, 0, 0, 0, 1, -1, 2, 0, 2, 1, 0, 1, 1, 1, 1, -2, 2 \
], [ 1, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, 0, 1, -2, 1, -2 ], [ -1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 2, -1, 2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0\
, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2\
, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -\
2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1"\
, "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 7, 5, 9, 13, 11, 10, 7, 5, 2, 1 ], [ -6, -4, -9, -13, -11, -10, -7, -5, -2, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 6, 5, 9, 13, 12, 10, 7, 5, 2, 1 ], [ -12, -10, -18, -26, -22, -19, -14, -10, -4, -2 ], [ 6, 5, 9, 13, 11, 10, \
8, 5, 2, 1 ], [ -6, -5, -9, -13, -11, -10, -7, -4, -2, -1 ], [ 12, 10, 18, 26, 22, 20, 14, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ \
[ 7, -6, 0, 0, 6, -12, 6, -6, 12, 0, 0, 0, 0, -6, 0, -9, 0, -9, -3, 0, -3, -3, 0, -9, 9, -12 ], [ 5, -4, 0, 0, 5, -10, 5, -5, 10, 0, 0, 0, 0, -5, 1, -8, 0\
, -8, -3, 0, -3, -3, -1, -7, 8, -10 ], [ 9, -9, 1, 0, 9, -18, 9, -9, 18, 0, 0, 0, 0, -9, 1, -14, 0, -14, -5, 0, -5, -5, -1, -13, 14, -18 ], [ 13, -13, 0, \
1, 13, -26, 13, -13, 26, 0, 0, 0, 0, -14, 2, -20, 0, -21, -7, 0, -8, -8, -1, -19, 20, -26 ], [ 11, -11, 0, 0, 12, -22, 11, -11, 22, 0, 0, 0, 0, -12, 2, -1\
7, 0, -18, -6, 0, -7, -7, -1, -16, 17, -22 ], [ 10, -10, 0, 0, 10, -19, 10, -10, 20, 0, 0, 0, 0, -10, 0, -15, 0, -15, -5, 0, -5, -5, 0, -15, 15, -20 ], [ \
7, -7, 0, 0, 7, -14, 8, -7, 14, 0, 0, 0, 0, -7, 1, -11, 0, -11, -4, 0, -4, -4, -1, -10, 11, -14 ], [ 5, -5, 0, 0, 5, -10, 5, -4, 10, 0, 0, 0, 0, -6, 2, -8\
, 0, -9, -3, 0, -4, -4, -1, -7, 8, -10 ], [ 2, -2, 0, 0, 2, -4, 2, -2, 5, 0, 0, 0, 0, -3, 1, -3, 0, -4, -1, 0, -2, -2, 0, -3, 3, -4 ], [ 1, -1, 0, 0, 1, -\
2, 1, -1, 2, 1, 0, 0, 0, -1, 1, -2, 0, -2, -1, 0, -1, -1, -1, -1, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -\
1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -24, -3, 5, 3, 6, -5, -7, 2, -7, 5, -3, -2, -2, 0, -1, 0, -5 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, \
-2, 0, 2, 2, -2 ], [ 5, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 3, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ \
6, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -5, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -7, 2, 6, 6, 4, 2, -8\
, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -7, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, \
-2, 0 ], [ 5, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -2, -2, -2, -4,\
 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -2, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0\
, 0, -4, 0, 0, 0 ], [ -1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -5, -2, 0, \
0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, -4, -4, -2, -2, -8, 2, 0, 0 ], [ -4, -12, -2, -8, -2, -12, 2, 0, 2 ], [ -4, -2, -8, \
-2, -2, -8, 2, 0, 0 ], [ -2, -8, -2, -12, 0, -12, 2, 0, 2 ], [ -2, -2, -2, 0, -4, -4, 2, 0, 0 ], [ -8, -12, -8, -12, -4, -20, 4, 0, 2 ], [ 2, 2, 2, 2, 2, \
4, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 2, 0, 2, 0, 2, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1 ], [\
 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0\
, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ \
1, -4, 3, -1, 3, -5, 1, 1, 1, 5, -1, 1, -1, -1, -2, -3, 1, -4, -2, -1, 0, 0, -4, -3, 1, -4 ], embQ := [ [ 1, -1, 1, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2\
, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 0, -3, -3, 0, -1 ], [ 0, -4, 2, 0, 2, -4, 2, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, -1, -2, 0, 2, 1, 1, -3, 5, -4\
 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 2, -2, -3, -1, -1 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 0\
, -1, 0, 1, 2, 0, -2, 5, -4 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 4, -8, 4, 0, 2, -4,\
 0, 0, 0, -3, 0, -1, 0, -3, -4, 0, 3, 3, -2, -5, 4, -5 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -\
2, 1 ] ], r := [ 5, 4, 7, 11, 9, 8, 6, 4, 2, 0 ], rlifts := [ [ 1, -1, 1, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 1, -1 ], [\
 1, -1, 1, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0\
, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0,\
 1, 0, 0, 1, 1, 1, 0, -1, 1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, \
0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2\
, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, \
1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 6, 4, 7, 11, 9, 8, 6, 4, 2, 0 ], [ -5, -3, -7\
, -11, -9, -8, -6, -4, -2, 0 ], [ 5, 4, 8, 11, 9, 8, 6, 4, 2, 0 ], [ -5, -4, -7, -10, -9, -8, -6, -4, -2, 0 ], [ 5, 4, 7, 11, 10, 8, 6, 4, 2, 0 ], [ -5, -\
4, -7, -11, -9, -7, -6, -4, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 10, 8, 14, 22\
, 18, 16, 12, 8, 4, 1 ] ], thegtilde := [ [ 6, -5, 5, -5, 5, -5, 0, 0, 0, 10, 0, 0, 0, 0, 0, -5, 0, -5, 0, 0, -5, -5, -5, 0, 3, -5 ], [ 4, -3, 4, -4, 4, -\
4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -4, -4, -4, 0, 1, -4 ], [ 7, -7, 8, -7, 7, -7, 0, 0, 0, 14, 0, 0, 0, 0, 0, -7, 0, -7, 0, 0, -7, -7, -7, 0, \
4, -7 ], [ 11, -11, 11, -10, 11, -11, 0, 0, 0, 22, 0, 0, 0, -1, 1, -11, 0, -12, 0, 0, -12, -12, -11, 0, 5, -11 ], [ 9, -9, 9, -9, 10, -9, 0, 0, 0, 18, 0, \
0, 0, -1, 1, -9, 0, -10, 0, 0, -10, -10, -9, 0, 5, -9 ], [ 8, -8, 8, -8, 8, -7, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, -8, -8, -8, 0, 3, -8 ], [ 6, \
-6, 6, -6, 6, -6, 1, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, -6, -6, -6, 0, 2, -6 ], [ 4, -4, 4, -4, 4, -4, 0, 1, 0, 8, 0, 0, 0, -1, 1, -4, 0, -5, 0, 0,\
 -5, -5, -4, 0, 2, -4 ], [ 2, -2, 2, -2, 2, -2, 0, 0, 1, 4, 0, 0, 0, -1, 1, -2, 0, -3, 0, 0, -3, -3, -2, 0, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ] ), rec( \
GramQ := [ [ -14, -3, -1, 0, -7, -3, 1, 1, 1, -1, 3, 2, 1, 0, 4, 6, -6 ], [ -3, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -1, -2, -12,\
 -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -7, -2, -10, -6, -16, -4, 4, -2,\
 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -3, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, \
0 ], [ 1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 1, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -2, -8, -8, -6, -4\
, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 3, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, \
0, 0, 0, 0 ], [ 1, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 4, 2, 2, 2, 4\
, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -6, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, 2, -4 ] ], GramQperp := [ [ -8, 4, -4, 2, 2, 2, 0, 0, 0 ], [ 4, -8, 6, 0, -2, -2, 0, 0, 0 ], [ -4, 6, -8, 2, 2, 2, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0,\
 0 ], [ 2, -2, 2, 2, -4, 0, 0, 0, 0 ], [ 2, -2, 2, 0, 0, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0\
, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, -2, 0, 0, \
1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -4, 3, 1, 1, -5, 1, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 3, 2,\
 -2, -3, 2, -4 ], embQ := [ [ 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 0, -3, -3, 0, -1 ], [ 0, -4, \
2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, -1, -2, 3, 2, 1, 1 ], [ 0, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -3, -3, 0, 1, 2, -2\
, -3, -1, -1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0,\
 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0\
, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 2, 2, 3, 5, 5, 5, 4, 3, 2, 1 ], rlifts := [ [ 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1 ] ], rootsQ := [ [ -1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, \
-1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [\
 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, \
1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 3, 2, 3\
, 5, 5, 5, 4, 3, 2, 1 ], [ -2, -1, -3, -5, -5, -5, -4, -3, -2, -1 ], [ 2, 2, 4, 5, 5, 5, 4, 3, 2, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -5, -4, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 3, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -2 ], [ 2, -1, \
2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -2 ], [ 3, -3, 4, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3,\
 -3 ], [ 5, -5, 5, 1, 0, -5, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 2, -1, 0, 0, 5, -5 ], [ 5, -5, 5, 0, 1, -5, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1,\
 0, 0, 1, -1, 0, 0, 5, -5 ], [ 5, -5, 5, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 5, -5 ], [ 4, -4, 4, 0, 0, -4, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, -4 ], [ 3, -3, 3, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 3, -3 ], [ 2, -2, 2, 0, 0, -2,\
 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 2, -2 ], [ 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -2\
, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0\
, -2, 0, 0, -1, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -16, 4, 8, 9, 9, 4, -9, 4, -9, 8\
, -2, 2, 2, 2, -4, -6, 2 ], [ 4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 8, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, \
0 ], [ 9, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 9, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 4, -3, -5, -5,\
 -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -9, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 4, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -\
2, -2, -2, 0, 0, 0 ], [ -9, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 8, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0\
, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 2, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 2, -2, 0, -4, 2, -2, 2, -2, 2, -\
2, -2, -2, -4, 0, 0, 0, 0 ], [ 2, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -4, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ \
-6, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, 4, -2, 4, \
0, 0, 0, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 4, 2, -8, 6, -4, 0, 0, 0, 2 ], [ -2, 0, 6, -8, 6, 0, 0, 0, -2 ], [ 4, 0, -4, 6, -8, 2, 0, 0, 2 ], [ 0, 0,\
 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ -2, 0, 2, -2, 2, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], \
[ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0,\
 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -2, -1, 3, -1, -3, 1, 1, 1, 3, -1, 1, -1, -1, -2, -2, 1, -3, -2, -1, 2, 2, -2, -3, -2, -2 ], embQ := [ [ 1, 0, -1, \
1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], \
embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, -2, -1, 0, -1, -2, -3, 0, -3, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, -2, \
4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 3, 0, 0, 0 ], [ 0, 0, 0, 0, \
2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, -2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, \
0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1,\
 0, 1, 1, -2, 1, -2, 1 ] ], r := [ 2, 2, 4, 5, 5, 4, 3, 2, 1, 0 ], rlifts := [ [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0\
, -1, 0 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0,\
 -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2\
, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1,\
 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 3, 2, 4, 5, 5, 4, 3, 2, 1, 0 ], [ 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -5, -4, -3, -2, -1, 0 ], [ 2, 2, 4, 6, 5, 4, 3, 2, 1, 0 ], [ -2, -2, -4, -5, -4, -4, -3, -2, -1, 0 ], [ 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 2, 2, 4, 5, 5, 4, 3, 2, 1, 1 ] \
], thegtilde := [ [ 3, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0 ], [ 2, 1, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, \
-1, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0 ], [ 4, 0, -3, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, -4, 0 ], [ 5, 0, -5, 6, -5, 0, 0, 0, 0\
, 5, 0, 0, 0, -1, 1, -3, 0, -3, 0, 0, -1, -1, 0, 0, -5, 0 ], [ 5, 0, -5, 5, -4, 0, 0, 0, 0, 5, 0, 0, 0, -1, 1, -3, 0, -3, 0, 0, -1, -1, 0, 0, -5, 0 ], [ 4\
, 0, -4, 4, -4, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, -4, 0 ], [ 3, 0, -3, 3, -3, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0\
, 0, 0, -3, 0 ], [ 2, 0, -2, 2, -2, 0, 0, 1, 0, 2, 0, 0, 0, -1, 1, -1, 0, -2, 0, 0, -1, -1, 0, 0, -2, 0 ], [ 1, 0, -1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, \
1, -1, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -1, 0, 0, -2, -2, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -28, 3, -2, 8, -7, -1, -4, 2, -6, 2, 2, 6, 6, -4, -1, 1, -4 ], [ 3,\
 -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -2, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 8, -4, -8, -12, -6, -5, \
6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -7, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -1, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2,\
 -2, -2, 2, 2, -2 ], [ -4, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ -6, 2\
, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 2, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 2, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4\
, -2, -2, 0, -2, -2, 0 ], [ 6, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 6, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [\
 -4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ -1, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 1, 2, 2, 2, 4, 2, -2, 0, -2, \
2, -2, 0, 0, 0, -2, -4, 2 ], [ -4, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -20, 0, 0, 4, 0, 2, -2, 0, 0 ], [ 0, -4, 2, 0,\
 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 2, 0, 0, 0, 2, -4, 2, 0, 0 ], [ -2, 0,\
 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0\
, -1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, \
0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjwe\
yl := [ 1, -2, 1, 1, 1, -7, 5, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -4, -4, -1, 4, 4, -4, -5, 0, -5 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -8, 0, 0, 4, 0, \
-2, 4, -2, 0, 0, 0, 0, 0, -1, 0, -2, 0, -3, -3, 0, 1, -1, -3, -3, -2, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, \
-1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1,\
 0, -1, 0, 0, 1, 2, -1 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, -\
2, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r\
 := [ 4, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -2 ], [ 1, 0, 0, 0, 0,\
 -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -1 ] ], rootsQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -1 ], [ -1, 0,\
 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, \
1, 1, 0, 2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -\
1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0\
, -1, -1, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 5, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -8, -6, -12, -18, -16, -13, -8, -6, -4, -2 ], \
[ 8, 6, 12, 18, 16, 14, 9, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde :=\
 [ [ 5, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 4, -4, -4, 0, -7 ], [ 3, 1, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0\
, 3, 3, -3, -3, 0, -4 ], [ 6, 0, 1, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 6, 6, -6, -6, 0, -10 ], [ 9, 0, 0, 1, 0, -18, 18, 0, 0, 0, 0, \
0, 0, -1, 1, 0, 0, -10, -9, 0, 8, 8, -9, -9, 0, -14 ], [ 8, 0, 0, 0, 1, -16, 16, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -9, -8, 0, 7, 7, -8, -8, 0, -13 ], [ 7, 0,\
 0, 0, 0, -13, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, -7, 0, 7, 7, -7, -7, 0, -10 ], [ 4, 0, 0, 0, 0, -8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 4,\
 -4, -4, 0, -6 ], [ 3, 0, 0, 0, 0, -6, 6, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -4, -3, 0, 2, 2, -3, -3, 0, -5 ], [ 2, 0, 0, 0, 0, -4, 4, 0, 1, 0, 0, 0, 0, -1, 1\
, 0, 0, -3, -2, 0, 1, 1, -2, -2, 0, -4 ], [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, 0, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -24, -2, 6, -1, 10, 3, 5, -1, 3, 1, -2, -4, -4, 4, 2, 0, 0 \
], [ -2, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ 6, -2, -12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, \
-6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 10, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ 3, -3, -5, -5, -4, -6, 2, -2, 2, -4,\
 0, -2, -2, -2, 2, 2, -2 ], [ 5, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -1, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], \
[ 3, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 1, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ -2, 0, 1, -1, 4, 0, 0, -2, 0\
, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ -4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, \
0, 0 ], [ 4, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 2, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, \
0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 6, 2, -2, 0, 0, 0 ], [ 0, -4,\
 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, 2, -2, 0, 0, 0 ], [ 6, 0, 6, -8, 0, 2, 0, 0, 0 ], [ 2, 0, 2, 0, -4, 2, 0, 0, 0 ], [ -2, 0, -2, 2, 2, -4, 2, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2,\
 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, \
0, 1, 1, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjwey\
l := [ 1, -2, 3, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -2, 1, 1, 0, 0, -1, 2, 2, -1, -1, 0, -2 ], embQ := [ [ 1, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, -2, 4\
, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -2, 1, 1, -2, 3 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [\
 0, 2, -4, 2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 2, 1, -3, 3 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0,\
 1, -2, -1, 3, -3 ], [ 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2,\
 -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := \
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 0, 1, -1, -1, 1, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ] ], rootsQ := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0\
, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0\
 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0\
, 0, 0, 0, 1, 0, 0 ], [ -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2,\
 -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0,\
 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, \
1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, -1, -1, 1, 0, 0 ], [ \
1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, -1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0\
, 0, -1, -1, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 0, 0, -2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 1, -1, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -2, 0, 0, -2, -2, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( Gr\
amQ := [ [ -52, -4, -9, -1, -19, -9, -1, 0, 0, -3, 4, 4, 4, -6, 4, 8, -10 ], [ -4, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -9, -2, -\
12, -8, -10, -5, 6, -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ -1, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ -19, -2, -10, -6, -16, -4, 4\
, -2, 6, -6, 4, 2, 2, -4, 4, 4, -2 ], [ -9, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ -1, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2\
, -2, 0 ], [ 0, -1, -4, -5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 0, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ -3, -2, -8, -8, \
-6, -4, 6, -4, 6, -8, 0, -2, -2, -2, 2, 2, 0 ], [ 4, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ 4, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4\
, -2, 0, 0, 0, 0 ], [ 4, -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ -6, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 4, 2, \
2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -4, -2, 2 ], [ 8, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ -10, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0,\
 0, 0, 2, 2, -4 ] ], GramQperp := [ [ -8, 0, -4, 6, -4, 8, 0, -6, -2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ -4, 2, -8, 6, -4, 8, 0, -6, -2 ], [ 6, 0, 6, -8,\
 6, -8, 0, 6, 2 ], [ -4, 0, -4, 6, -8, 10, 0, -6, -2 ], [ 8, 0, 8, -8, 10, -20, 2, 12, 4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -6, 0, -6, 6, -6, 12, 2, -12\
, -2 ], [ -2, 0, -2, 2, -2, 4, 0, -2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -2 ], [ 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0\
, 0, 0, -1, -1, 1, -2 ], [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0,\
 -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ] ], adjweyl := [ 1, -2, 3, -1, 3, -7, 1, 3, 3, 1, -1\
, 1, -1, -3, -2, -2, 1, -4, -3, -1, 2, 2, -4, -5, 2, -6 ], embQ := [ [ 1, 0, 1, -1, 1, -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0,\
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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 2, 0, 0, 0, -2, 4, -2, 0, 0, 0, -2, 0, -2, 0, -\
1, 0, 0, -1, -2, 1, -2, 1, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1 ], [ 0, 2, -4, 2, 0, 0, 0, -2, 4, -2, 0,\
 0, 0, -2, 0, -2, 0, -1, 0, 0, -1, 0, 2, -2, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 2, -4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, -2, 2, 0, 0 ], [ 0, 0, 0, 2, -4\
, 2, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, -1, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 4, -8, 4, 0, 0, 0, 1, 0, 1, 0, -2, -4, 0, 3, 3, -6, 0, -3, 0\
 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -6, 6, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0,\
 -2, -2, 3, -1, 3, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 6, 4, 8, 13, 11, 10, 7, 4, 2, 1 ],\
 rlifts := [ [ 1, 0, 1, -1, 1, -2, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -2 ], [ 1, 0, 1, -1, 1, -2, 0, 1, 1, 0, 0, 0, 0, -1, 0, \
0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -2 ] ], rootsQ := [ [ 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -2 ], [ -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0,\
 1, 1, -1, 2 ], [ 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -2 ], [ -1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, -1, 2 ], [ 0, -2, 0, 0, 1, -\
1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0\
 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0,\
 -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ] ], rootsty\
peQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 7, 4, 8, 13, 11, 10, 7, 4, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 4, 9, 13, 11, 10, 7, \
4, 2, 1 ], [ -6, -4, -8, -12, -11, -10, -7, -4, -2, -1 ], [ 6, 4, 8, 13, 12, 10, 7, 4, 2, 1 ], [ -12, -8, -16, -26, -22, -19, -14, -8, -4, -2 ], [ 0, 0, 0\
, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 4, 8, 13, 11, 10, 7, 5, 2, 1 ], [ 6, 4, 8, 13, 11, 10, 7, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 7,\
 0, 6, -6, 6, -12, 0, 6, 6, 0, 0, 0, 0, -6, 0, -3, 0, -6, -3, 0, 0, 0, -6, -6, 6, -12 ], [ 4, 1, 4, -4, 4, -8, 0, 4, 4, 0, 0, 0, 0, -4, 0, -2, 0, -4, -2, \
0, 0, 0, -4, -4, 4, -8 ], [ 8, 0, 9, -8, 8, -16, 0, 8, 8, 0, 0, 0, 0, -8, 0, -4, 0, -8, -4, 0, 0, 0, -8, -8, 8, -16 ], [ 13, 0, 13, -12, 13, -26, 0, 13, 1\
3, 0, 0, 0, 0, -14, 1, -8, 0, -14, -8, 0, -1, -1, -13, -13, 13, -26 ], [ 11, 0, 11, -11, 12, -22, 0, 11, 11, 0, 0, 0, 0, -12, 1, -7, 0, -12, -7, 0, -1, -1\
, -11, -11, 11, -22 ], [ 10, 0, 10, -10, 10, -19, 0, 10, 10, 0, 0, 0, 0, -10, 0, -5, 0, -10, -5, 0, 0, 0, -10, -10, 10, -20 ], [ 7, 0, 7, -7, 7, -14, 1, 7\
, 7, 0, 0, 0, 0, -7, 0, -4, 0, -7, -4, 0, 0, 0, -7, -7, 7, -14 ], [ 4, 0, 4, -4, 4, -8, 0, 5, 4, 0, 0, 0, 0, -5, 1, -3, 0, -5, -3, 0, -1, -1, -4, -4, 4, -\
8 ], [ 2, 0, 2, -2, 2, -4, 0, 2, 3, 0, 0, 0, 0, -3, 1, -2, 0, -3, -2, 0, -1, -1, -2, -2, 2, -4 ], [ 1, 0, 1, -1, 1, -2, 0, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0,\
 -1, -1, 0, 0, 0, -1, -1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 2, -2, -1, -1, 0, 0, 0, -2, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [\
 [ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, -4, -2, -4, -2, -3, 2, -1, 2, -2, 0, -2, -2, 0, 2, 2, -2 ], [ -1, -2, -12, -8, -10, -5, 6,\
 -4, 6, -8, 1, -2, 0, -4, 2, 2, 0 ], [ 0, -4, -8, -12, -6, -5, 6, -5, 8, -8, -1, -4, -4, -2, 2, 2, 0 ], [ 0, -2, -10, -6, -16, -4, 4, -2, 6, -6, 4, 2, 2, \
-4, 4, 4, -2 ], [ 0, -3, -5, -5, -4, -6, 2, -2, 2, -4, 0, -2, -2, -2, 2, 2, -2 ], [ 0, 2, 6, 6, 4, 2, -8, 4, -6, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -1, -4, \
-5, -2, -2, 4, -4, 4, -4, -2, -2, -2, -2, 0, 0, 0 ], [ 0, 2, 6, 8, 6, 2, -6, 4, -8, 6, 0, 2, 2, 2, -2, -2, 0 ], [ 0, -2, -8, -8, -6, -4, 6, -4, 6, -8, 0, \
-2, -2, -2, 2, 2, 0 ], [ 0, 0, 1, -1, 4, 0, 0, -2, 0, 0, -4, -2, -2, 0, -2, -2, 0 ], [ -1, -2, -2, -4, 2, -2, 2, -2, 2, -2, -2, -4, -2, 0, 0, 0, 0 ], [ 1,\
 -2, 0, -4, 2, -2, 2, -2, 2, -2, -2, -2, -4, 0, 0, 0, 0 ], [ 0, 0, -4, -2, -4, -2, 2, -2, 2, -2, 0, 0, 0, -4, 0, 0, 0 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2,\
 -2, 0, 0, 0, -4, -2, 2 ], [ 0, 2, 2, 2, 4, 2, -2, 0, -2, 2, -2, 0, 0, 0, -2, -4, 2 ], [ 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4 ] ], GramQp\
erp := [ [ -8, -4, 4, 4, -2, 0, 0, 0, 0 ], [ -4, -8, 6, 2, -2, 0, 0, 0, 0 ], [ 4, 6, -8, 0, 2, 0, 0, 0, 0 ], [ 4, 2, 0, -4, 2, 0, 0, 0, 0 ], [ -2, -2, 2, \
2, -4, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sig\
ma := [ [ 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, \
1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 1, 0, -1, -1, 3, -3, 1, 1, 1, 1, -1, 1, -1, -1, -2, -1, 1, -2, -2, -1, 1, 3, -2, -3, 0, -2 ], e\
mbQ := [ [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1 ] ], embQperp := [ [ -4, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, -1, -1, -2, -2, 1, 0 ], [ 0, -4, 2, -2, 4, -2, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, 4, -2 ], [ 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -4, 2 ], [ 2\
, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, 1, 1, \
-2, -2, 1, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 1, 0, -1,\
 0, 0, 1, 0, -1, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -2, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, \
0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, -1, 2, -1 ] ], r := [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, -2, 0, 0, 1, -\
1, 0, 0, 1, 0, -1, 2, 2, 0, 0, 0, 1 ], [ 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1 ], [ 0, 0, -2, 0, 1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0\
 ], [ 0, 0, 2, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0 ], [ 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 1, \
0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -1, 1, -1, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0 ], [ 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1" ], theg := [ [ 1, 0, 1, 1, 0, 0, 0, 0, 0\
, 0 ], [ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1 ] ], thegtilde := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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3, 11, 10, 7, 4, 2, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ] ], weyl := [ -1, -2, 1, 1, 1, -3, 1, 1, 1, 1, 1, -1, 1, -3, 2, -3, -1, -4, -2, 1, -2, -4, -2, -2\
, 1, -3 ], weylprime := [ -4, -8, 4, 4, 4, -12, 4, 4, 4, 4, 4, -3, 4, -12, 8, -12, -4, -16, -8, 4, -8, -16, -9, -8, 4, -12 ] ), rec( GramL26 := [ [ 4, 4, \
7, 11, 8, 8, 5, 4, 2, 2, -2, 0, -1, 1, -1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -2 ], [ 4, 0, 5, 4, 6, 4, 6, 3, 2, -2, -1, -2, -1, -1, 1, 1, 0, -3, 0, 0, 2, -4\
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[ -2, -1, -1, -5, -4, 1, -4, 0, -6, -4, -16, -6, -6, 1, -5, -1, 0, -6, -4, 8, -6, -2, 4, -2, -2, -4 ], [ 0, -2, -1, -5, 0, -3, 2, -1, -3, -6, -6, -8, -4, \
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, -1, 0, 2, 0, -4, 2, 0, 0, -2, -2 ], [ 3, -1, -2, -1, -1, -1, -6, -2, 0, 2, 0, 2, -2, -2, -2, -2 ], [ 4, 0, 0, 0, -2, 0, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0 \
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4, -8, 4, 0, 2, -2, -2 ], [ 2, -2, -4, -2, -2, 2, 2, 0, -6, 0, 4, -8, 2, -2, 2, 2 ], [ -2, 4, 2, 2, 0, 0, -2, 0, 4, 2, 0, 2, -4, 0, 0, 0 ], [ 2, -2, -4, -\
2, -2, 0, -2, 0, -2, 2, 2, -2, 0, -4, 0, 0 ], [ 0, -2, -2, 0, 0, -2, -2, 0, 2, 0, -2, 2, 0, 0, -4, 0 ], [ -2, -4, 0, -2, 2, -2, -2, 0, 0, 0, -2, 2, 0, 0, \
0, -4 ] ], NK := "not corresponding to Nikulin-Kondo", NKisom := "not corresponding to Nikulin-Kondo", No := 17, VR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
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1/2, 0, -1, 0, 0, 0, -1/2, 1/2, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 1/2, 0, 1, 0, 0, 0, 1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
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1, 0, 0, 1/2, -1/2 ] ], embR := [ [ 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
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0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], embS := [ [ -4, 0, 0, 2, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 2 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0 ], [ 0, 2, -4\
, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, 1, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 1, -1, 0, 1,\
 -2 ], [ 0, 0, 0, 2, -3, 1, 0, -1, 1, 0, 1, 0, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 1, -1, -1, 2 ], [ 0, 0, 0, 0, 1, -3, 2, 1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 1\
, -1, -1, -1, 0, 1, 2, 0, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 2, 0, 2, 0, -2, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 2, -3, 1, 0, -\
1, 0, 1, 0, 1, 0, 1, 1, -1, -1, -1, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 1, -3, 2, 1, 0, -1, 0, -1, 0, -1, -1, 0, 1, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, 1, 1, 1, 1, -1 ] ], generatorsOL10D := "infty", interiorpt := "infty", isomto := [ ], m4R := 2272,\
 name := "infty", ogR := 21139292160, orderOL10D := "infty", projR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2 ], [ -1/2, -1/2, 0, 1/2, 0, 1/2, 0, -1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0 ], [ -1/2, -1/2, 0, 1/2, 0, 1/2, 0, -1/2\
, -1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2 ], [ -1/2, -1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2, \
1/2, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 1, 0, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],\
 projS := [ [ 5, 7/2, 7, 21/2, 9, 15/2, 6, 9/2, 3, 3/2 ], [ 7/2, 2, 9/2, 7, 6, 5, 4, 3, 2, 1 ], [ 7, 9/2, 9, 14, 12, 10, 8, 6, 4, 2 ], [ 21/2, 7, 14, 21, \
18, 15, 12, 9, 6, 3 ], [ 9, 6, 12, 18, 15, 25/2, 10, 15/2, 5, 5/2 ], [ 15/2, 5, 10, 15, 25/2, 10, 8, 6, 4, 2 ], [ 6, 4, 8, 12, 10, 8, 6, 9/2, 3, 3/2 ], [ \
9/2, 3, 6, 9, 15/2, 6, 9/2, 3, 2, 1 ], [ 3, 2, 4, 6, 5, 4, 3, 2, 1, 1/2 ], [ 3/2, 1, 2, 3, 5/2, 2, 3/2, 1, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1/2, -1/2, -1/2, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootsR := [ ], rootstypeR := [ ], volindex := "infty", wallrecs := "infty", walls := "infty", weyl\
 := [ 0, 2, -2, 0, 1, -1, 2, -1, 1, 0, 1, 0, -1, 0, -1, 0, 1, 1, -1, 1, -2, -2, 0, 0, 1, -1 ], weylprime := [ 0, 4, -5, 0, 3, -2, 4, -2, 2, 0, 2, 0, -2, 0\
, -2, 0, 2, 2, -2, 2, -4, -4, 0, 0, 2, -2 ] ) ];