#./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\
, 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, 1, 0, 0, 0, 0, 0, 0, -1/2 \
], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1\
, 1, 1, 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, -1/2, 0, 0, 1/2, -1/2\
, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, -1/2, 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, 0, 0, 1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 0, 0, -1/2, 0, 0, 1/2\
, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, -1/2, 0, -1/2, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 1/2, 0, -1/2, 1/2, 0, 0, 0, 0, 0\
, 0, 0, 0, 1/2 ], [ 1/2, 1/2, -1/2, 1/2, -1/2, -1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, -1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, \
0, 0 ], [ -1/2, 0, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 1/2, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 1/2, 0, -1/2, 0, 0, \
1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, -1/2, 1/2, 1/2, 0, 0, 0, 0, \
0, 0, 0, 0, -1/2, 0 ], [ 1/2, 1/2, -1/2, 1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 0, 1/2, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2,\
 1/2 ], [ 1/2, -1/2, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, 0, 0, 1/2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 0, 1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, 1/2, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0,\
 0, 0, 1/2, 0 ], [ 0, 1/2, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 0 ], [ 0, -1/2, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, 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, -1/2, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, \
0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, -1/\
2, 1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1, 0, 1/2, 0, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 1/2 ], [ 1, 0, -1/2, 0, -1/2, 1/2, \
-1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ 1, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ -1, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, \
0, 0, -1/2, 1/2 ], [ 0, -1/2, 1/2, -1, 1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, -1/2 ], [ 0, 1/2, -1/2, 1, -1/2, 0, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 1/2 ], [ 0,\
 1/2, 0, 0, 0, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 1/2, -1/2, -1/2, 1/2, 0, 0, -1/2, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, 1/2, 1/2, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, -1, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0 ]\
, [ 1/2, 1, -1/2, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 0, 0, -1, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0\
, 1/2 ], [ 0, 0, 0, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1/2, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 0, 1/2,\
 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 1/2, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 1/2, -1, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0,\
 1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, 1, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ 1/2, 0, -1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ -1/2, 0, 1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, 0, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0 ], [ 1/2, 1/2, -1/2, \
0, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0 ], [ 1/2, 1/2, -1/2, 0, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, 0, 1/2, -1/\
2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 1/2, 0, -1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0,\
 0, 1/2, 0 ], [ -1/2, 1, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 1/2, -1, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], \
[ 1/2, 1/2, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, -1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, -1/2, 0, \
-1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0,\
 0, -1/2, 1/2 ], [ 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, 0, 0\
, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, 1, -1/2, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, -1, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2, \
0, 0, 0, 0, 0 ], [ -1/2, 1/2, 1/2, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 1/2, -1/2, -1/2, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0\
, -1/2, 0, 0, 0, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, 1/2, 0, 0, 0, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ 0, 1/2, -1/2, 1, -1/2, 0, -1/2\
, 0, 0, 0, -1, 0, 0, 0, -1/2, 1/2 ], [ 0, -1/2, 1/2, -1, 1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ -1, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0\
, -1, 1/2 ], [ 1, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1, -1/2 ], [ 1, 0, -1/2, 0, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1, 0, \
1/2, 0, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 1/2, -1/2, 1/2, 0, -1/2,\
 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, 1/2, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, -1/2, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0,\
 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ 0, -1/2, 0, 0, 1\
/2, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0, \
0, 0, 0, 0 ], [ 0, -1/2, 0, 1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 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, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 1/2, 0, -1/2, 0, 0, 0, 0\
, -1/2, 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, 0 ], [ -1/2, -1/2, 1/2, -1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0 ], [ -1/2, 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0 ], [ 1/2, 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0 ], [ 1/2, 0, -1/\
2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, 0, 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, 1/2, 0, 0, 0,\
 1/2, 0, 0, 0, -1/2, 0 ], [ 1/2, 1/2, -1/2, 1/2, -1/2, -1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 0, 1/2, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, \
0, -1/2, 1/2 ], [ 1/2, -1/2, 0, -1/2, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 0, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1\
/2, 0, 0, 1/2, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 1/2, 0, -1/2, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ 0, -1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 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 ], [ 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, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ -1/2, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ \
1/2, 1/2, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, 1/2, 0, 1/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, -1/2, 0, -1/2, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ -1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, \
0, -1/2, 1/2 ], [ 0, -1/2, 0, 1/2, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, -1/2, 0, 1/2, 1/2, 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, 1/2 ], [ 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, -1/2, 0, -1, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0,\
 0, 0, 1/2, -1/2 ], [ -1/2, 1/2, 0, 1, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ],\
 [ -1/2, -1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ -1/2, 0, 1/2, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 1/2, 0, -1/2, 1/2\
, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, -1/2, -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, -1/2, 0, 0, 0, 0, 1/2 ], [ 0, 0, 1/2, -1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1, -\
1/2, 1/2, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 1, 1/2, -1/2, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 1, -1/2, -1/2, 0, 0\
, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ -1, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 0, -1, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 1/2, \
0, 0, 0, 0, -1/2 ], [ 0, 1, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, 0, -1, 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, 0, 0 ], [ 0, -1/2, 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 ],\
 [ 0, 1/2, 0, 0, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1/2, 0, 1, -1/2, \
0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1/2, 0, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 1, -1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 1/2 \
], [ 0, -1, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, -1/2 ], [ -1, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 1, -1/2, -1/2, 0, 0\
, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ 1, 1/2, -1/2, -1/2, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ -1, -1/2, 1/2, 1/2, 1/2, -1/2, 1\
/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 1/2 ], [ 0, 0, 1/2, -1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, -1/2, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
/2 ], [ 0, 1, 0, 0, -1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 1/2, 0, -1/2, 1/2, -1/2, 1\
/2, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, -1/2, 1/2, -1/2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, 0, 0, 1/2, -1/2, 0, 0, 0, -1/2, \
0, 0, 0, -1/2, 0 ], [ 1/2, 1/2, -1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 0, 1, -1/2, -1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 1\
/2 ], [ 1/2, -1/2, 0, -1, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 0, 0, 0, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, 0, 0,\
 0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 0, 1/2, 0, -1/2, 0, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 1/\
2, 0, 0, 0, 0, 0 ], [ -1/2, 0, 0, 1/2, 0, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 0, 0, -1/2, 0, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ],\
 [ 1/2, -1/2, 0, -1/2, 0, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 1/2, 0, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 1/2, 1/2, -1/2, \
1/2, -1/2, 0, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, \
-1/2, 0, 0, 0, -1/2, 0 ], [ 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, 0 ], [ 0\
, 0, 0, 1/2, -1/2, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 0 ], [ -1/2, -1/2, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 1/2, 1/2, 0, -1/2, -\
1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ 1/2, -1, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ -1/2, 1, 0, 1/2, -1/2, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 0, -1/2, 1/2, 0, -1, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 0, 1/2, -1/2, 0, 1, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ],\
 [ -1/2, -1/2, 1/2, 0, 1/2, -1, 1/2, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1/2, 1/2, -1/2, 0, -1/2, 1, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 1/2, -1/2, -1/2, 0, \
1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0 ], [ -1/2, -1, 1/2, -1/2, 1, 0, 1/2, 0, 0, 0,\
 1, 0, 0, 0, 0, 0 ], [ 1/2, 1, -1/2, 1/2, -1, 0, -1/2, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ -1/2, 0, 0, 1/2, 1/2, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 1\
/2, 0, 0, -1/2, -1/2, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ 1/2, -1/2, 0, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ -1/2, 1/2, 0, \
1/2, -1/2, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 1/2 ], [ 0, -1, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 1, 0, -1/2, -1/2, 1/2, 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, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, \
0, 0, -1, 0, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ -1/2, 0, 0, 1, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 1, -1/2, 0, -1/2, -1/2, \
0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ -1/2, -1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ -1/2, 1/2, 1/2, -1/2, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, \
0, 0, 0, 0 ], [ 1/2, -1/2, -1/2, 1/2, 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, \
0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 1, -1/2, -1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 1/2, -1, 1/2, 1/2, 1/2,\
 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1, 0, 1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 1, 0, -1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/\
2, -1/2 ], [ 1, 0, -1/2, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ -1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 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, -1/2, -1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, -1/2, 1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 1/2, -1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ -1/2\
, -1/2, 1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ -1/2, 0, 1/2, -1, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 1/2, 0, -1/2, 1, -1/2, -\
1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ -1/2, 1, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, -1, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, \
0, 0, -1/2 ], [ 1/2, 1/2, 0, -1, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2 ], [ -1/2, -1/2, 0, 1, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2 ], [ 0, \
0, -1/2, 1/2, 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ 0, 0, 1/2, -1/2, 0, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ], [ -1, -1/2, 1/2, 0, 1/2, \
1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 1, 1/2, -1/2, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 1, -1/2, -1/2, -1/2, 0, 1, -1/2, 0, 0, 0, \
0, 0, 0, 0, 1/2, -1/2 ], [ -1, 1/2, 1/2, 1/2, 0, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2 ], [ 0, -1, 1/2, -1, 1/2, 1, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, -1/2 ],\
 [ 0, 1, -1/2, 1, -1/2, -1, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 1/2 ], [ -1, 1/2, 0, 1, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1 ], [ 1, -1/2, 0, -1, 0, 1/2,\
 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1 ], [ 1, 1/2, -1, 1/2, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0 ], [ -1, -1/2, 1, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, \
0, 0, 0, -1/2, 0 ] ], embR := [ [ 1, 0, 1, 0, 0, 0, -3, -2, 0, 6, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, -2, 2, 0 ], [ 0, 1, 0, 0, 1, 0, -3, -1, 0, 4, 0\
, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, -1, 1, 0 ], [ 0, 0, 2, 0, 0, 0, -4, -2, 0, 8, 0, 0, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, -3, -2, 2, 0 ], [ 0, 0, 0, 1, 0\
, 0, -3, -1, 1, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 2, 0, -4, -2, 0, 6, 0, 0, 0, 0, 0, 0, 0, -3, 1, 0, 0, 0, -2, -2, 1, \
0 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 1, 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, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [\
 [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0\
, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0\
, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], generatorsOL10D := [ [ [ -3, -2, -4, -6, -5, -4, -3, -2\
, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 1, 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, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 4, 6, 5, 4, 3, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1 ] ], [ [ -5, -3, -6, -9, -7, -5, -3, -3, -2, -1 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 3, 4, 3, 2, 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 ], [ 4, 2, 4, 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 ] ] ], interiorpt := [ 380, 228, 456, 702, 570, 455, 342, 246, 152, 75 ], isomto := [ ], m4R := 1376,\
 name := "12A", ogR := 7191587192832000, orderOL10D := 4, projR := [ [ 2, 0, -1, 0, -1/2, -1/2, -1, 0, 0, 0, -1/2, 0, 0, 0, 1, -1/2 ], [ 1, 1/2, -1/2, 0, \
-1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2 ], [ 3/2, 0, -1/2, 0, -1/2, -1, -1, 0, 0, 0, -1/2, 0, 0, 0, 1, -1/2 ], [ 3, -1/2, -3/2, 1/2, -1/2, -3/2, \
-2, 0, 0, 0, -1/2, 0, 0, 0, 3/2, -3/2 ], [ 2, 0, -1, 0, -1/2, -1/2, -3/2, 0, 0, 0, -1, 0, 0, 0, 1, -1 ], [ 3/2, -1, -1/2, 0, 0, -1/2, -3/2, 0, 0, 0, 0, 0,\
 0, 0, 1, -1 ], [ 3/2, -1, -1/2, 0, 0, -1/2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1 ], [ 1, 0, -1/2, 0, -1/2, 1/2, -1, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2,\
 -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, -1, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ 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, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 0 ], [ 1/2, 1/2, 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2\
 ], [ 1/2, 1/2, 0, -1, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 1, -1/2 ], [ 0, -1, 0, 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,\
 0, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 1/2, -1/2, 0, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 1, 0, 0, 0, 1/2, -1/2 ], [ -1, 0, 1/2, 1/2, 0, -1/2, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1/2 ], [ -1/2, 1/2, 0, 1/2, -1/2, 1/2, -1/2, 0, 0, 0, -1, 0, 0, 0, -1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], \
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 ], \
[ 41/2, 13, 51/2, 38, 63/2, 51/2, 39/2, 29/2, 19/2, 13/2 ], [ 16, 10, 39/2, 29, 49/2, 20, 31/2, 23/2, 15/2, 5 ], [ 29/2, 9, 18, 53/2, 22, 18, 27/2, 10, 13\
/2, 9/2 ], [ 10, 6, 25/2, 37/2, 15, 12, 19/2, 7, 9/2, 3 ], [ 13/2, 4, 8, 12, 10, 8, 13/2, 9/2, 3, 2 ], [ 5, 3, 13/2, 19/2, 15/2, 6, 5, 7/2, 2, 3/2 ], [ 7/\
2, 2, 9/2, 13/2, 5, 4, 3, 2, 3/2, 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, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -1/2,\
 -1/2, 0, 0 ], [ 1, 1, 1, 2, 3/2, 1/2, 1/2, 1/2, 0, 0 ], [ 1, 1, 1, 2, 3/2, 1, 1/2, 0, 0, 0 ], [ 2, 1, 3, 4, 3, 5/2, 2, 3/2, 1, 1 ], [ -1, -1, -1, -3/2, -\
3/2, -3/2, -1/2, 0, 0, 0 ], [ 0, 0, 1/2, 1/2, -1/2, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0 ], [ -1, -1, -3/2, -5/2, -3/2, -1/2, 0, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootsR := [ [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -2\
, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, \
1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -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, 0, 0, \
0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -\
1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 1,\
 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1, 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, 1, 0, -1, -1, 1, -1, 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, -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, -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, 0, 0, 0, -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, 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, 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, 1, 0, -1, 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, -1, 0, -1, 0, 1 ], [ 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, -1, 0, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 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, -1, 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, 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, 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, -1, 1, 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, 1, 0, 0, 0, -1, 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, 1, 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,\
 1, -1, 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, -1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 1, 0, 0, -1 ], [ 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, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, -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, -1, 0, 0, 0, -1, 0, 0, 1 ], [ 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, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 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, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 1, 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, 0, 0, 0, 0, -1, 1, 1, 0, 0, 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, 1, 1, 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, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 1, 0\
, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 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, 0, 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, 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, -1, 0, 0, 1, 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, 0, 0, 1, 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, 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, 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, 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, 0, 0, 0, 0, 0 ]\
, [ 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, -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, 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, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeR := [ "D8" ], volindex := 174182400, wallrecs := [ rec( GramQ := [ [ -24, -10, \
-18, -6, -22, 2, -8, 0, 0, -2, -2, 2, -2, -2, -2, 6, -4 ], [ -10, -18, -19, -15, -15, -10, 7, 11, -2, 0, 2, -8, 0, 2, 2, 2, 2 ], [ -18, -19, -28, -17, -18\
, -10, 7, 10, -2, -2, 0, -6, -2, 0, 0, 2, -2 ], [ -6, -15, -17, -16, -9, -12, 10, 9, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -22, -15, -18, -9, -28, 0, -7, 4, 0,\
 0, 0, 0, 0, 0, 0, 6, 0 ], [ 2, -10, -10, -12, 0, -12, 12, 8, -2, 0, 2, -8, 0, 2, 2, -2, 2 ], [ -8, 7, 7, 10, -7, 12, -16, -9, 2, 0, -2, 8, 0, -2, -2, 4, \
-2 ], [ 0, 11, 10, 9, 4, 8, -9, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 0, -2, -2, -2, 0, -2, 2, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, \
0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -2, 2, 0, 2, 0, 2, -2, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 2, -8, -6, -8, 0, -8, 8, 8, -2, 0, 2, -8, 0, 2\
, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -2, 2, 0, 2, 0, 2, -2, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -2, 2, 0, 2,\
 0, 2, -2, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 6, 2, 2, 0, 6, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -4, 2, -2, 2, 0, 2, -2, -2, 0, -2, -2, 2, -2,\
 -2, -2, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 10, 0, 0, 0, 0, 4 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 10, 0, 2, -8, 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, 2 ], [ 4, 0, 0, -2\
, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1\
, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl :=\
 [ -6, 5, -6, 2, 3, 2, 1, 1, 10, 0, 1, 3, -2, -9, 3, 1, 2, -2, -9, -10, -18, -4, 0, -1, -8, 4 ], embQ := [ [ 1, 0, 1, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0 ], [ 0, 1, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0 ], [ 0, 0, 2, 0, 0, 0, -4, 0, 0, 2,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, -1, -2, 0, 0 ], [ 0, 0, 0, 1, 0, 0, -3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, \
0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 2, 0, 0, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, 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, -3, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [\
 [ 0, 1, -2, 0, 1, 0, 1, -1, -2, -2, 0, 0, 0, 1, 0, 0, 0, 4, 4, 5, 7, 2, 3, 3, 5, 1 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, 1, 0, 0, 0, -2, 0,\
 0, 0, -2, -2, -2, -5, -1, -1, -2, -1, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, \
0, 0, 0, -1, 0 ] ], r := [ 4, 2, 4, 6, 5, 4, 3, 2, 1, 0 ], rlifts := [ [ -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0,\
 1 ], [ 1, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ] ], rootsQ := [ [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1\
, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1,\
 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1\
, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0,\
 0 ], [ 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" ], theg := [ [ -7, -4, -8, -12, -10, -8, -6, -4, -2, 0 ]\
, [ 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, 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 ], [ 4, 2, 4, 6, 5, 4, 3, 2, 1, 1 ] ]\
, thegtilde := [ [ 0, 2, -3, 0, 2, 0, 1, -1, 0, 3, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, -3, -2, 0, 0, 1, 1 ], [ 0, 2, -2, 0, 1, 0, 1, -1, 0, 2, 0, 0, 0, -2, 0\
, 0, 0, -1, 0, -1, -2, -1, 0, 0, 1, 1 ], [ 0, 2, -3, 0, 2, 0, 2, -2, 0, 4, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, -4, -2, 0, 0, 2, 1 ], [ -1, 4, -7, 1, 4, 0, 3,\
 -3, 0, 7, 0, 0, 0, -5, 0, 0, 0, -4, 0, -4, -7, -4, 0, 0, 3, 4 ], [ 0, 2, -4, 0, 3, 0, 2, -2, 0, 4, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, -4, -2, 0, 0, 2, 2 ],\
 [ 0, 2, -4, 0, 2, 1, 2, -2, 0, 4, 0, 0, 0, -3, 0, 0, 0, -2, 0, -2, -4, -2, 0, 0, 2, 2 ], [ -1, 2, -3, 0, 2, 0, 2, -1, 0, 3, 0, 0, 0, -2, 0, 0, 0, -2, 0, \
-2, -3, -2, 0, 0, 1, 2 ], [ 0, 1, -2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -2, -1, 0, 0, 1, 1 ], [ 0, 1, -2, 0, 1, 0, 1, -1, 1, 2, 0, 0, \
0, -1, 0, 0, 0, -1, 0, -1, -2, -1, 0, 0, 1, 1 ], [ -1, 1, -1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, -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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0\
, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 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, 1, 0, 1, -1, 0, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 1, 1 ], [ -1, 1, -1, 0, 1, 0\
, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1 ], [ -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, -1, 1, 0, 0, 1 \
], [ 1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, -1 ], [ 1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 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, -1 ] ] ), rec( GramQ := [ [ -106, -116, -151, -108, -114\
, -55, -78, -21, 4, -1, -5, 17, -1, -5, -5, 12, -6 ], [ -116, -136, -170, -124, -130, -64, -90, -20, 4, 0, -4, 16, 0, -4, -4, 14, -4 ], [ -151, -170, -220\
, -158, -164, -81, -116, -31, 6, -1, -7, 25, -1, -7, -7, 16, -8 ], [ -108, -124, -158, -116, -118, -60, -84, -22, 4, 0, -4, 16, 0, -4, -4, 12, -4 ], [ -11\
4, -130, -164, -118, -128, -60, -84, -18, 4, 0, -4, 16, 0, -4, -4, 14, -4 ], [ -55, -64, -81, -60, -60, -32, -44, -12, 2, 0, -2, 8, 0, -2, -2, 6, -2 ], [ \
-78, -90, -116, -84, -84, -44, -68, -20, 4, 0, -4, 16, 0, -4, -4, 8, -4 ], [ -21, -20, -31, -22, -18, -12, -20, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 4,\
 4, 6, 4, 4, 2, 4, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -5, -4, -7, -4, -4, -2, -4, -2, 0,\
 -1, -2, 2, -1, -1, -1, 0, -2 ], [ 17, 16, 25, 16, 16, 8, 16, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -\
2 ], [ -5, -4, -7, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -5, -4, -7, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 12, 14, 1\
6, 12, 14, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -6, -4, -8, -4, -4, -2, -4, -2, 0, -2, -2, 2, -2, -2, -2, 0, -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 := [ [ 0, 0, 0, 0, 0, 0, 0,\
 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 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, 0, 0, -1, 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, 0, 0, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -22, -12, -4, 18, 2, 2, 0, 2, 10, -2, 1, 3, -2, -8, 3, 1, 2, -1, -9, -9, -32, -3, 0, -1, -9, 11 ], embQ := [ [\
 1, 0, 0, 0, 1, 0, 0, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, -1, 2, -3, 1, 0 ], [ 0, 1, 0, 0, 1, 0, 1, -1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2\
, -2, 3, -3, 1, 0 ], [ 0, 0, 1, 0, 1, 0, 1, -2, 1, -4, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, -3, -2, 3, -4, 1, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -1, 1, -4, 0, 0, 0, 0,\
 0, 0, 0, 3, -1, 0, -3, -1, 3, -2, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, -2, 2, -4, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, \
0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, -1, 2, -1, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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, 3, -4, -2, 3, 0, 1, -1, -4, 4, 0, 0, 0, -2, 0, 0, 0, 0, 4, 1, 3, 0, 3, 3, 5, 1 ], [\
 2, -1, 0, -1, 1, 0, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 2, 2, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0,\
 -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 4, 3, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ -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 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 1, 0, -1, \
-1, 1, -1, -1, 0, 1 ], [ 1, 1, 0, -1, -1, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1,\
 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1,\
 1, 1, 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, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 1, 1, 0, -1, -1, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], \
[ -1, -1, 0, 1, 1, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, \
1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 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, -1, 0, 1, 1, -1, 1, 2, 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, -1, -1, 0, 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, 1 ], [ -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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 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, -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, -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, 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, -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, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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 ], [ 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, -1 ], [ -1, -1, 0, 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, -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, 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, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1 ], [ -1, -1, 0, 1, 1, 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, -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, 1, -1, 0, 0, 0, 1, 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, -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, 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, -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, 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, -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, 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, 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, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 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,\
 0, 0, 0, 0 ], [ 1, 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, 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, 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, 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, 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, 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, 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, -1, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 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 ], [ 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ -1, -1, 0, 1, 1, 0, 0, 0, \
1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2,\
 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, -1 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, -1, \
-1, 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, 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, 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, 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 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 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, 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, 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, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 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 ], [ -1, -1, 0, 1, 1, \
0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, -1, -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, 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, -1, 0, 1, 1, 0, 0, 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, 0, 0 ] ], rootstypeQ := [ "D9" ], th\
eg := [ [ -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, 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 := [ [ -3, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, \
0, 0, 0, 1 ], [ -3, -2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 1 ], [ -6, -6, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -6, 0, 0, 0, 0, 2 ], [ -9, -9, 0, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 4 ], [ -6, -6, 0, 6, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 3 ], [ -7, -7, 0, 7, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 3 ], [ -6, -6, 0, 6, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 3 ], [ -3, -3, 0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 1 ], [ \
-4, -4, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2 ], [ -3, -3, 0, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -3, 0,\
 0, 0, 0, 1 ], [ 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 2, 0, -2, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1 ], [ 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, -1 ], [ 2,\
 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, -1 ], [ -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, \
0, 0, 2 ], [ -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 1 ], [ -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -2, 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 ], [ 0, 0, 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, -118, \
-149, -116, -134, -53, -40, 15, -2, -1, 1, -7, -1, 1, 1, 6, 0 ], [ -118, -152, -184, -148, -170, -68, -46, 28, -4, 0, 4, -16, 0, 4, 4, 6, 4 ], [ -149, -18\
4, -230, -182, -208, -83, -58, 29, -4, -1, 3, -15, -1, 3, 3, 6, 2 ], [ -116, -148, -182, -148, -166, -68, -44, 26, -4, 0, 4, -16, 0, 4, 4, 4, 4 ], [ -134,\
 -170, -208, -166, -192, -76, -52, 30, -4, 0, 4, -16, 0, 4, 4, 6, 4 ], [ -53, -68, -83, -68, -76, -32, -20, 12, -2, 0, 2, -8, 0, 2, 2, 2, 2 ], [ -40, -46,\
 -58, -44, -52, -20, -20, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0 ], [ 15, 28, 29, 26, 30, 12, 4, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ -2, -4, -4, -4, -4, -2, 0, \
2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -1, 0, -1, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ 1, 4, 3, 4, 4, 2, 0, -2, 0, -1, -2, 2, -1, -1, -1, 0,\
 -2 ], [ -7, -16, -15, -16, -16, -8, 0, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ 1, 4, 3, 4, 4, \
2, 0, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ 1, 4, 3, 4, 4, 2, 0, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 6, 6, 6, 4, 6, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, \
-4, 0 ], [ 0, 4, 2, 4, 4, 2, 0, -2, 0, -2, -2, 2, -2, -2, -2, 0, -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, -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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0\
 ], [ 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, -1, 0, 0, -1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -22, 20\
, -4, 2, 2, 2, 16, -14, 26, -2, 1, 3, -2, -8, 3, 1, 2, -1, -25, -9, -32, -3, -16, -17, -9, 11 ], embQ := [ [ 1, 0, 0, 0, 1, 0, 0, -8, 1, 10, 0, 0, 0, 0, 0\
, 0, 0, -4, -1, 0, -2, -1, -7, -9, 4, 0 ], [ 0, 1, 0, 0, 1, 0, 1, -9, 0, 12, 0, 0, 0, 0, 0, 0, 0, -6, -1, 0, -2, -2, -9, -11, 5, 0 ], [ 0, 0, 1, 0, 1, 0, \
1, -12, 1, 16, 0, 0, 0, 0, 0, 0, 0, -7, -1, 0, -3, -2, -12, -14, 6, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -9, 1, 12, 0, 0, 0, 0, 0, 0, 0, -5, -1, 0, -3, -1, -9, -10\
, 5, 0 ], [ 0, 0, 0, 0, 2, 0, 0, -10, 0, 14, 0, 0, 0, 0, 0, 0, 0, -7, -1, 0, -2, -2, -10, -12, 5, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -4, 1, 5, 0, 0, 0, 0, 0, 0, \
0, -2, -1, 0, -2, 0, -4, -5, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -1, -1, -4, -5, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 0, -4, 1, 2, 0, 1, -1, -5, 4, 0, 0, 0, -2, 0, 0, 0, 0, 5, 2, 2, 0, 3, 3, 6, 2 ], [ 2, 1, 0, -2, 1, 0, -1, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1,\
 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, 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, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ -1, 1, 0, 0, \
0, 0, 0, 1, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, -1, 1, -1, -1, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1,\
 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -1, -1, 0, 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, 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, -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, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 0, -1, 0, 1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 1, -1, 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, 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, 0, 0, 0, 1, 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, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1 ], [ -1, 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, -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, -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, 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, 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, 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,\
 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, 1, 0, 0, 1, 0, 0, -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, 0, 1, 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, 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 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0,\
 0 ], [ 1, -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, 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, 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, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 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, 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, 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\
, 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, 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, -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, 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 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,\
 0, 0, 0, 0 ], [ 1, -1, 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, 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 ], [ 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, 1, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 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, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, \
0, -1, 0, 0, 0, 1 ], [ 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\
, 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, 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 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 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, 1, 0, 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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0\
, 0, 0, 1, 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, 1, -1, 0, 0, 0, 0, 0, 0 ], [\
 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, 1, -1, -1, 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 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, -1, 0, 0, 0, 0, 0, -1,\
 -1, 1, 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, -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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 1, -1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0\
, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 1, -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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0\
, 0, 0, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -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, 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, 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, 1, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0\
, 0, 0, 1 ], [ -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 ], [ -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, -1 ] ], rootstypeQ := [ "D9" ], 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, 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 := [ [ -5, 6, 0, 0, 0, 0, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, -6, -6, 0, 2 ], [ -3, 4, 0, 0, 0, 0, 3, -3, 3, 0, 0,\
 1, 0, -1, 0, 0, 0, 0, -3, 0, -3, 0, -3, -3, 0, 1 ], [ -6, 6, 1, 0, 0, 0, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, -6, -6, 0, 2 ], [ -11, 11, 0,\
 1, 0, 0, 11, -11, 11, 0, 0, 1, 0, -1, 0, 0, 0, 0, -11, 0, -11, 0, -11, -11, 0, 5 ], [ -8, 8, 0, 0, 1, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -8, \
0, -8, -8, 0, 4 ], [ -7, 7, 0, 0, 0, 1, 7, -7, 7, 0, 0, 1, 0, -1, 0, 0, 0, 0, -7, 0, -7, 0, -7, -7, 0, 3 ], [ -4, 4, 0, 0, 0, 0, 5, -4, 4, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -4, 0, -4, 0, -4, -4, 0, 2 ], [ -3, 3, 0, 0, 0, 0, 3, -2, 3, 0, 0, 1, 0, -1, 0, 0, 0, 0, -3, 0, -3, 0, -3, -3, 0, 1 ], [ -2, 2, 0, 0, 0, 0, 2,\
 -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 1 ], [ -1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, -2, -2, 0, 1 ], [ -2, 2, 0, 0, 0,\
 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 0, -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, -2, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 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, 1\
, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
2, 0, 2, 0, 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, -1 ] ] ), rec( GramQ := [ [ -120, -16, -88, -102, \
-92, -50, -72, -18, 4, -2, -6, 18, -2, -6, -6, 14, -8 ], [ -16, -4, -13, -14, -12, -7, -8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 ], [ -88, -13, -72, -72, -63, -34,\
 -44, -8, 2, -2, -4, 10, -2, -4, -4, 10, -6 ], [ -102, -14, -72, -92, -82, -46, -66, -18, 4, 0, -4, 16, 0, -4, -4, 12, -4 ], [ -92, -12, -63, -82, -76, -4\
1, -62, -16, 4, 0, -4, 16, 0, -4, -4, 11, -4 ], [ -50, -7, -34, -46, -41, -24, -34, -10, 2, 0, -2, 8, 0, -2, -2, 6, -2 ], [ -72, -8, -44, -66, -62, -34, -\
56, -18, 4, 0, -4, 16, 0, -4, -4, 8, -4 ], [ -18, 0, -8, -18, -16, -10, -18, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 4, 0, 2, 4, 4, 2, 4, 2, -2, -1, 0, -2\
, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 1\
8, 0, 10, 16, 16, 8, 16, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2,\
 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 14, 3, 10, 12, 11, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0,\
 -4, 0 ], [ -8, 0, -6, -4, -4, -2, -4, -2, 0, -2, -2, 2, -2, -2, -2, 0, -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, -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, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0 ], [ 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, 0\
, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, -1, 0, \
0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 4, -5, 2, 2, 2, -1, 4, 10, -2, 1, 3, -2, -9, 3, 1, 2, -1, -9, -10, -16, -4, 1, 0, -10, 3 ], \
embQ := [ [ 1, 0, 1, 0, 0, 0, 1, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -6, 4, 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, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -3, -6, 4, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -5, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 1, -1, 0, -1, 1, -1, -4, 3, 0 ], [ 0, 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -\
2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, 1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0\
, -2, 0, 1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0,\
 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0,\
 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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 ], [ -1, 0, 1, 0, 0, 0, -1, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 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, -1, 0, -1, 0, 0, -1, 0 ], [ 1, 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ] ], root\
sQ := [ [ 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, 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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, \
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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, \
-1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1,\
 -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -\
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, 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, 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, -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, 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, 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, 0, 0, 0, 1, \
0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, \
0, -1, 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, 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, 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, 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, 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, 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, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" \
], 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, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0 ], [ 1, -1, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, \
0, -2, 1, 1, -2, -1 ], [ 1, -1, -1, 1, 0, 0, -1, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 1, 1, -2, 0 ], [ 1, -1, -1, 0, 1, 0, -1, 3, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, -2, 0, -2, 1, 1, -2, 0 ], [ 1, 0, -1, 0, 0, 1, -1, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, 0 ], [ 1, 0, -1, 0, 0, 0\
, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0 ],\
 [ 0, -1, 0, 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, 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, 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, 1, 0, 1, 0, 1, 0, 0, 1, 0 ], [ -1, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0 ], [ -\
2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0 ], [ 1, 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0,\
 1, 1, 0, 0 ], [ 1, 0, -1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 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, -1, 2, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -200\
, -120, -242, -140, -194, -16, 30, 66, 2, -2, -4, 10, -2, -4, -4, 22, -6 ], [ -120, -80, -148, -92, -122, -18, 20, 36, 0, 0, 0, 0, 0, 0, 0, 14, 0 ], [ -24\
2, -148, -296, -173, -236, -23, 37, 78, 2, -2, -4, 10, -2, -4, -4, 26, -6 ], [ -140, -92, -173, -108, -141, -21, 23, 42, 0, 0, 0, 0, 0, 0, 0, 16, 0 ], [ -\
194, -122, -236, -141, -196, -19, 31, 64, 2, 0, -2, 8, 0, -2, -2, 22, -2 ], [ -16, -18, -23, -21, -19, -14, 4, -2, -2, 0, 2, -8, 0, 2, 2, 2, 2 ], [ 30, 20\
, 37, 23, 31, 4, -6, -10, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ 66, 36, 78, 42, 64, -2, -10, -28, -2, 0, 2, -8, 0, 2, 2, -8, 2 ], [ 2, 0, 2, 0, 2, -2, 0, -2, -2\
, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -4, 0, -4, 0, -2, 2, 0, 2, 0, -1, -2, 2, -1, -1, -1, 0, -2\
 ], [ 10, 0, 10, 0, 8, -8, 0, -8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -4, 0, -4, 0, -2, 2, 0, \
2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -4, 0, -4, 0, -2, 2, 0, 2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 22, 14, 26, 16, 22, 2, -4, -8, 0, 0, 0, 0, 0, 0, 0\
, -4, 0 ], [ -6, 0, -6, 0, -2, 2, 0, 2, 0, -2, -2, 2, -2, -2, -2, 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, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, \
0, 0 ], [ 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, 0, 1, 0, 1, 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, -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, 0, 0\
, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ], adjweyl := [ -6, 4, -4, 2, 2, 2, 0, 2, 10, -4, 1, 3, -2, -7, 3, 1, 2, 1, -8, -7, -13, -2, 1, 0, -8, 3 ], embQ := [\
 [ 1, 0, 1, 0, 0, 0, -3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 9, -3, 1, -5, 5, 0 ], [ 0, 1, 0, 0, 1, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 6, \
-2, 1, -3, 3, 0 ], [ 0, 0, 2, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 7, 0, 12, -4, 1, -6, 6, 0 ], [ 0, 0, 0, 1, 0, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 3, 4, 0, 7, -2, 1, -3, 4, 0 ], [ 0, 0, 0, 0, 2, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 9, -3, 1, -5, 4, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, -1, 0, -2, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, \
1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, \
-1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0\
, 0, 2, 0, -2, 0, -2, -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 ], [ -2, 0, 2, 0, 0, 0, \
-2, 4, -4, 2, 0, 0, 0, -3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, -1, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 2, \
1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, -1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1,\
 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -\
1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 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, 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, 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", "D8" ], 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, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -6, 0, 0, 0, -3, -1 ], [ 0, 1, 0, 0, 0, 0, 0,\
 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, -2, -4, 0, 0, 0, -2, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, 0, 0, 0, -4, -1 ], [ \
0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 0, 0, -1, 0, 0, 0, 0, -7, -7, -14, 0, 0, 0, -7, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5, -10,\
 0, 0, 0, -5, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 5, 0, 0, 0, 0, -1, 0, 0, 0, 0, -5, -5, -10, 0, 0, 0, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -3, -3, -6, 0, 0, 0, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, -2, -4, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -4, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -2, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -1\
, 0, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 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, -2, -2, -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, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0 ], [ 0, 0, 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 := [ [ -48, -40, -66, -44, -46, -20, -2, 12, -4, -\
2, 2, -14, -2, 2, 2, -2, 0 ], [ -40, -42, -61, -43, -45, -21, 1, 17, -4, 0, 4, -16, 0, 4, 4, -2, 4 ], [ -66, -61, -100, -67, -66, -32, 1, 22, -6, -2, 4, -\
22, -2, 4, 4, -6, 2 ], [ -44, -43, -67, -48, -47, -23, 0, 15, -4, 0, 4, -16, 0, 4, 4, -4, 4 ], [ -46, -45, -66, -47, -52, -22, -1, 16, -4, 0, 4, -16, 0, 4\
, 4, -2, 4 ], [ -20, -21, -32, -23, -22, -12, 1, 8, -2, 0, 2, -8, 0, 2, 2, -2, 2 ], [ -2, 1, 1, 0, -1, 1, -4, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 17, 2\
2, 15, 16, 8, -3, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ -4, -4, -6, -4, -4, -2, 0, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2\
, -1, 0, -1, -1, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, 0, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ -14, -16, -22, -16, -16, -8, 0, 8, -2, 0, 2, -8, 0, 2, 2, 0,\
 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, 0, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ 2, 4, 4, 4, 4, 2, 0, \
-2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ -2, -2, -6, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ 0, 4, 2, 4, 4, 2, 0, -2, 0, -2, -2, 2, -2, -2, -2, \
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 := [ [ -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0 ], \
[ 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, 0, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], adjweyl := [ -7, 4, -3,\
 2, 2, 2, -1, 4, 8, 0, 1, 3, -2, -10, 3, 1, 2, -2, -9, -10, -17, -3, 0, -1, -10, 3 ], embQ := [ [ 1, 0, 1, 0, 0, 0, -3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -2, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0, -3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, -4, 0, 0, 6, 0, 0, 0, 0\
, 0, 0, 0, -1, 1, 0, -2, 2, -1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, -3, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 2, 0, -4, 0, \
0, 4, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 2, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, \
-2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1,\
 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0\
, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, 0, -2, -1, -2, -4, 0, -1, -1, -1, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 3, 2, 3, 5, 2, 2, 2, 1,\
 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 1\
, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0 ] ], rootsQ := [ [ 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ -1,\
 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1,\
 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -\
1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0\
, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 1, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" ], 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ], thegtilde := [ [ -1, \
0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, -1 ], [ -1, 1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, -1, 0\
, 0, 0, -1, 0 ], [ -2, 0, 3, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, -1 ], [ -4, 0, 4, 1, 0, 0, -4, 4, 0, 4, 0, 0, 0, -5, 0\
, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, 0 ], [ -3, 0, 3, 0, 1, 0, -3, 3, 0, 3, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, -3, 0 ], [ -3, 0, 3, 0, 0, 1, -3, 3\
, 0, 3, 0, 0, 0, -4, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, -3, 0 ], [ -2, 0, 2, 0, 0, 0, -1, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 0 ], [ -1\
, 0, 1, 0, 0, 0, -1, 2, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 2, -1, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1\
, 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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -27, -44, -26, -44, -16, -12, -6, 2, -2, -4, 10, -2, -4, -4, 1, -6 ], [ -27, -2\
4, -32, -21, -38, -14, -11, -4, 2, 0, -2, 8, 0, -2, -2, 1, -2 ], [ -44, -32, -56, -32, -50, -18, -12, -4, 2, -2, -4, 10, -2, -4, -4, -2, -6 ], [ -26, -21,\
 -32, -22, -34, -14, -10, -6, 2, 0, -2, 8, 0, -2, -2, -1, -2 ], [ -44, -38, -50, -34, -64, -24, -20, -10, 4, 0, -4, 16, 0, -4, -4, 2, -4 ], [ -16, -14, -1\
8, -14, -24, -12, -10, -8, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ -12, -11, -12, -10, -20, -10, -10, -8, 2, 0, -2, 8, 0, -2, -2, 1, -2 ], [ -6, -4, -4, -6, -1\
0, -8, -8, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 2, 2, 2, 2, 4, 2, 2, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, \
-1, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 10, 8, 10, 8, 16, 8, 8, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0,\
 -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, \
-2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 1, 1, -2, -1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -6, -2, -6, -2, -4, -2, -2, -2, 0, -2, -2, 2, -2, -2, -\
2, 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, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 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, 0, 0, -1, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -1, 1, -1, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -6, 4, -4\
, 2, 2, 3, 0, 0, 11, -3, 1, 3, -2, -7, 3, 1, 2, -1, -9, -9, -17, -2, 0, -1, -9, 3 ], embQ := [ [ 1, 0, 1, 0, 0, 0, 0, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, 2\
, 0, 0, 0, -2, -2, 2, 0 ], [ 0, 1, 0, 0, 1, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, -1, 1, 0 ], [ 0, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0,\
 0, 0, 0, 0, -3, 3, 0, 0, 0, -3, -2, 2, 0 ], [ 0, 0, 0, 1, 0, 0, 0, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, \
-6, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 1, 0, 0, 0, -2, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 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, -1, 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, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1\
, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, \
1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0,\
 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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 ], [ 1, -1, -1, 0, 1, -2, 2, -1, 2, -2, 0, 0, 0, 3, 0, 0, 0, 1, 0, 1, 2, -1, 0, 0, 1, 0 ], [ -2, 0, 2,\
 0, 0, 1, -2, 2, -3, 3, 0, 0, 0, -3, 0, 0, 0, -2, 0, -2, -3, 1, 0, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, \
1, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 1, -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, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0,\
 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1,\
 -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1,\
 1, -1, 1, 1, 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, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 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, -1, 0,\
 1, 1, -1, 1, 2, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 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, -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 ] ], rootstypeQ := [ "A1", "A1", "D8" ], 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, 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, -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, -1 ], [ 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, 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, -1, 2, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 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, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 1, -1, 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, 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, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -64, -74, -68, -34, -56, -18, 4, -2, -6, 18, -2, -6, -6, 6, -8 ], [ -8, -2, -7, -7, -6, -3, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -\
64, -7, -56, -52, -45, -22, -32, -8, 2, -2, -4, 10, -2, -4, -4, 2, -6 ], [ -74, -7, -52, -68, -61, -32, -52, -18, 4, 0, -4, 16, 0, -4, -4, 4, -4 ], [ -68,\
 -6, -45, -61, -58, -29, -50, -16, 4, 0, -4, 16, 0, -4, -4, 5, -4 ], [ -34, -3, -22, -32, -29, -16, -26, -10, 2, 0, -2, 8, 0, -2, -2, 2, -2 ], [ -56, -4, \
-32, -52, -50, -26, -48, -18, 4, 0, -4, 16, 0, -4, -4, 4, -4 ], [ -18, 0, -8, -18, -16, -10, -18, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 4, 0, 2, 4, 4, 2\
, 4, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -2, 2, -1,\
 -1, -1, 0, -2 ], [ 18, 0, 10, 16, 16, 8, 16, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -6, 0, -4\
, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 6, 1, 2, 4, 5, 2, 4, 0, 0, \
0, 0, 0, 0, 0, 0, -4, 0 ], [ -8, 0, -6, -4, -4, -2, -4, -2, 0, -2, -2, 2, -2, -2, -2, 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, 0, 0, 0, -1, 0, 1, 1, -1, 2, \
1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 1, 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 := [ -6, 3, -4, 2, 3, 0, 1, 3, 10, -2, 1, 3, -2, -7, 3, 1, 2, -1, -9, -9, -15, -4, 0\
, -1, -9, 3 ], embQ := [ [ 1, 0, 1, 0, 0, 0, 1, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 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, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -3, -2, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -5, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0\
, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0,\
 -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1,\
 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0\
, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -1 ], [ 0, 0, 0, 1, -2, 1, -1, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 1, 0 ], [ 0, -1, 0, 0\
, 1, 0, 1, -3, 2, -2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ -1, 0, 1, 0, 0, 0, -1, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, \
-1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 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, 1, 0, 0, 0, 0, 0, 0, 1, -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\
 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -\
1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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\
, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0,\
 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1\
, 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, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1,\
 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 2, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1\
", "D8" ], 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, -1, 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, -1, 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, -1 ], [ 0, -2, 0, 1, 0, 0, 0, 2, 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, 1, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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, 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, \
1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 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, -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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -\
2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 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, 1, 0 ], [ 0, \
0, 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, -48, -62, -41, -74, -28, -21, -6, 2, -2, -4, 10, \
-2, -4, -4, 7, -6 ], [ -48, -48, -54, -39, -72, -28, -21, -4, 2, 0, -2, 8, 0, -2, -2, 7, -2 ], [ -62, -54, -72, -46, -82, -30, -22, -4, 2, -2, -4, 10, -2,\
 -4, -4, 6, -6 ], [ -41, -39, -46, -34, -60, -24, -18, -6, 2, 0, -2, 8, 0, -2, -2, 5, -2 ], [ -74, -72, -82, -60, -112, -44, -34, -10, 4, 0, -4, 16, 0, -4\
, -4, 10, -4 ], [ -28, -28, -30, -24, -44, -20, -16, -8, 2, 0, -2, 8, 0, -2, -2, 4, -2 ], [ -21, -21, -22, -18, -34, -16, -14, -8, 2, 0, -2, 8, 0, -2, -2,\
 3, -2 ], [ -6, -4, -4, -6, -10, -8, -8, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 2, 2, 2, 2, 4, 2, 2, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0\
, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 10, 8, 10, 8, 16, 8, 8, 8, -2, 0, 2,\
 -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], \
[ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 7, 7, 6, 5, 10, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -6, -2, -6, -2, -4, -2, -2\
, -2, 0, -2, -2, 2, -2, -2, -2, 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, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -\
1, 2, 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, 0, 0, -1, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -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 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ] ], adjweyl := [ -6, 4, -4, 3, 0, 4, -1, 1, 11, -2, 1, 3, -2, -9, 3, 1, 2, -1, -10, -9, -18, -3, 0, -2, -8, 3 ], embQ := [ [ 1, 0, 1, 0, 0, 0, 0, -5\
, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, -3, -2, -5, 2, 0 ], [ 0, 1, 0, 0, 1, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -3, -1, -4, 1, 0 ], [ 0\
, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0, 0, -4, -3, -6, 2, 0 ], [ 0, 0, 0, 1, 0, 0, 0, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, \
-2, -1, -3, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, -4, -2, -6, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, 0, \
0, 0, 0, 0, -2, 0, -1, -1, 0, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 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,\
 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1\
, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2,\
 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 0, 1 ], [ 1, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, \
-2, 0, -2, -1 ], [ 0, -2, 0, 1, 0, -2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -2, 0, -1, 1, 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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ] ], rootsQ := [ [ 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, -1, 0, 1, 1, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1\
, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -\
1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1,\
 -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 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, 0\
, 0, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 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, -1, 0, 1, 1, -1, 1, 2, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, \
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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, \
0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 1, 0, -1, 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, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" ], 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, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1 ], [ 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, -1, 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, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -\
1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 2, 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, 0, 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, 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, 1, 1, 0, 1, 0, 0, 1,\
 0, 0 ], [ 0, 0, 0, 1, -2, 2, -1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -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\
, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 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, -2, 2, -1, -1, 1, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, -1, 0, -2, 1, 0, -1, 1, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0 ], [ 0, 0, 0, -2, 4, -2, 0, 0,\
 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, -2, 0 ], [ 0, 0, 0, -1, 2, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -152, -24, -120, -130, -116, -62, -88, -18, 4, -2, -6, 18, -2\
, -6, -6, 14, -8 ], [ -24, -6, -21, -21, -18, -10, -12, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 ], [ -120, -21, -104, -100, -87, -46, -60, -8, 2, -2, -4, 10, -2, -4,\
 -4, 10, -6 ], [ -130, -21, -100, -116, -103, -56, -80, -18, 4, 0, -4, 16, 0, -4, -4, 12, -4 ], [ -116, -18, -87, -103, -94, -50, -74, -16, 4, 0, -4, 16, \
0, -4, -4, 11, -4 ], [ -62, -10, -46, -56, -50, -28, -40, -10, 2, 0, -2, 8, 0, -2, -2, 6, -2 ], [ -88, -12, -60, -80, -74, -40, -64, -18, 4, 0, -4, 16, 0,\
 -4, -4, 8, -4 ], [ -18, 0, -8, -18, -16, -10, -18, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 4, 0, 2, 4, 4, 2, 4, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, \
0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 18, 0, 10, 16, 16, 8, 16, \
8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -2, -1\
, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 14, 3, 10, 12, 11, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -8, 0, -6, -4\
, -4, -2, -4, -2, 0, -2, -2, 2, -2, -2, -2, 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 := [ [ 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 1, 0, 0, 0, 1\
, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 4, -3, 0, 4, 0, 1, 2, 10, -2, 1, 3, -2, -6, 3, 1, 2, -1, -9, -9, -14, -3, -2, -1, -11, 2 ], embQ := [ [ 1, 0, 1, 0, \
0, 0, 1, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, -6, 4, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0 ]\
, [ 0, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -4, 1, -6, 4, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1\
, -3, 3, -4, 3, 0 ], [ 0, 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -3, 2, -4, 2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0\
, 0, 0, 1, -1, 0, -1, -1, 2, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, 2, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 3, 1 ], [ 0, -2, 0, 1, 0, 0, -1,\
 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1 ], [ -2, \
0, 0, 1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1 ], [ 1, 0, 1, 0, -2, 2, -1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -\
2, -2, 0, -1 ], [ 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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2,\
 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0 ] ], rootsQ := [ [ -1, 0, 0, 2, -1,\
 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 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, 1, 0, -1, -1, 1, -1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1,\
 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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\
, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, -1, 0, 0, 0, 1, \
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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -\
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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0,\
 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 1, -\
2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" ], 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 ], [ 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, 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, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -2 ], [ 1, 0, 1, -1, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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 ], \
[ 1, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1 ], [ 1, 0, 1, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0\
, -1, -1, -1, -1 ], [ 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 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, \
0, 0, 0, 0, 1, 0, -1, -1, -1, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 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,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 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, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, \
-1, 0, 1, 1, 1, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 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, 1, 0, 0, 0, 0 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -2, -1 ], [ 1, 0, 1, -2, 0\
, 2, -1, 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, 0 ], [ \
0, 0, 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, -40, -176, -190, -164, -94, -120, -18, 4, -2,\
 -6, 18, -2, -6, -6, 22, -8 ], [ -40, -10, -35, -36, -30, -18, -20, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0 ], [ -176, -35, -152, -152, -129, -74, -88, -8, 2, -2, -4\
, 10, -2, -4, -4, 18, -6 ], [ -190, -36, -152, -172, -148, -86, -110, -18, 4, 0, -4, 16, 0, -4, -4, 20, -4 ], [ -164, -30, -129, -148, -130, -74, -98, -16\
, 4, 0, -4, 16, 0, -4, -4, 17, -4 ], [ -94, -18, -74, -86, -74, -44, -56, -10, 2, 0, -2, 8, 0, -2, -2, 10, -2 ], [ -120, -20, -88, -110, -98, -56, -80, -1\
8, 4, 0, -4, 16, 0, -4, -4, 12, -4 ], [ -18, 0, -8, -18, -16, -10, -18, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 4, 0, 2, 4, 4, 2, 4, 2, -2, -1, 0, -2, 0, \
0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 18, 0,\
 10, 16, 16, 8, 16, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -\
1, -1, 2, -1, -2, -1, 0, -2 ], [ -6, 0, -4, -4, -4, -2, -4, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 22, 5, 18, 20, 17, 10, 12, 0, 0, 0, 0, 0, 0, 0, 0, -4\
, 0 ], [ -8, 0, -6, -4, -4, -2, -4, -2, 0, -2, -2, 2, -2, -2, -2, 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, 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 := [ [ 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -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, 0, 0, -1, 1, 0, 0 ], [ 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 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, 0, 1, 0, 1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -4, 5, -4, 0, 3, 2, -1, 3, 10, -2, 1, 3, -2, -8, 3, 1, 2, -1, -9, -10, -15, -3, 1, 0, -10, 2 \
], embQ := [ [ 1, 0, 1, 0, 0, 0, 1, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, -10, 4, 0 ], [ 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, -2, 1, 0 ], [ 0, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -4, -3, -10, 4, 0 ], [ 0, 0, 0, 1, 0, 0, 1, -5, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -3, -1, -8, 3, 0 ], [ 0, 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -3, -1, -7, 2, 0 ], [ 0, 0, 0, 0, \
0, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, -4, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, 0, -4, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ 0, 1, -2, 0, 1, 0, 1, -1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1,\
 3, 1 ], [ 2, -2, 0, -1, 2, -1, -1, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, -1 ], [ -2, 1, 0, 2, -3, 2, -1, 1, 2, -2, 0, 0, 0, -2, 0, 0, 0,\
 0, -2, -1, -3, 0, 1, -1, -1, 1 ], [ 1, 0, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, -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, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, \
-1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 1, -\
1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1\
, -1 ] ], rootsQ := [ [ -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], [ 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0 ], [ 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, -1, 0, 1, 1, -1, 2, 1, 0, -\
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -\
1, -1, 1, -1, -1, 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, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,\
 -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -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, 1, 0, -1, -1, 1, -1, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [ 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, -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, 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, 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, 2, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 0, 1, 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, -1, 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, -1, 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, 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, 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, -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, 1, 0, 0, 1, 0, 0, -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, 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,\
 -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, \
0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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 ] ], rootstypeQ := \
[ "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,\
 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, 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, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 1, 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 ], [ -1, 0, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ -1, 0, -1, 2, -1, 0, 1, 0, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ 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 ], [ -1, 0, -1, 2\
, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -2, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1 ], [ 2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, -1, -1 ], [ 2, 2, -2,\
 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 2, 2, 0, 0 ], [ -2, -1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1,\
 1, 1 ], [ -1, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0\
, 0, 0, -1, 0, 1, 0, 1, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1 ], [ -1, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0, \
0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ \
-104, -93, -118, -83, -136, -56, -35, -6, 2, -2, -4, 10, -2, -4, -4, 13, -6 ], [ -93, -90, -106, -78, -130, -54, -34, -4, 2, 0, -2, 8, 0, -2, -2, 13, -2 ]\
, [ -118, -106, -136, -94, -154, -62, -38, -4, 2, -2, -4, 10, -2, -4, -4, 14, -6 ], [ -83, -78, -94, -70, -114, -48, -30, -6, 2, 0, -2, 8, 0, -2, -2, 11, \
-2 ], [ -136, -130, -154, -114, -192, -80, -52, -10, 4, 0, -4, 16, 0, -4, -4, 18, -4 ], [ -56, -54, -62, -48, -80, -36, -24, -8, 2, 0, -2, 8, 0, -2, -2, 8\
, -2 ], [ -35, -34, -38, -30, -52, -24, -18, -8, 2, 0, -2, 8, 0, -2, -2, 5, -2 ], [ -6, -4, -4, -6, -10, -8, -8, -12, 2, 0, -2, 8, 0, -2, -2, 0, -2 ], [ 2\
, 2, 2, 2, 4, 2, 2, 2, -2, -1, 0, -2, 0, 0, 0, 0, 0 ], [ -2, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, 0, -1, -1, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0\
, -1, -2, 2, -1, -1, -1, 0, -2 ], [ 10, 8, 10, 8, 16, 8, 8, 8, -2, 0, 2, -8, 0, 2, 2, 0, 2 ], [ -2, 0, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1, -1, 0, -2 \
], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -1, 2, -1, -2, -1, 0, -2 ], [ -4, -2, -4, -2, -4, -2, -2, -2, 0, -1, -1, 2, -1, -1, -2, 0, -2 ], [ 13, 13, 14,\
 11, 18, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0 ], [ -6, -2, -6, -2, -4, -2, -2, -2, 0, -2, -2, 2, -2, -2, -2, 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 := [ [ -2, 0, 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, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 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, 0, 0, -1, 1, 0, 0 ], [ 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, 0, 1, 0, 1, 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, -\
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, \
1, 2, -1, -10, -9, -18, -3, 0, -2, -9, 4 ], embQ := [ [ 1, 0, 1, 0, 0, 0, 0, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, -3, -2, -8, 2, 0 ], [ 0, 1, 0, 0\
, 1, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -3, -1, -7, 1, 0 ], [ 0, 0, 2, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0, 0, -4, -3, -1\
0, 2, 0 ], [ 0, 0, 0, 1, 0, 0, 0, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, -2, -1, -6, 1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, -6, 0, 2, 0, 0, 0, 0, 0, 0, 0, \
-3, -3, 0, 0, -4, -2, -10, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 0, -4, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, -\
1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0 ], [ 0, 0, 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 := [ [ -1, 1, -3, 2, -1, 2, 0, -1\
, -2, 2, 0, 0, 0, -3, 0, 0, 0, 0, 2, 1, -1, 0, 3, 1, 5, 2 ], [ 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 1, \
-1, 0, -1, 2, -2, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, -1, 0, 3, 1, 1, 0 ], [ 0, 0, 2, -2, 2, -3, 2, 0, 1, -1, 0, 0, 0, 3, 0, 0, 0, 0, -1, 0, 2, 0, -4\
, -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\
, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 0 ] ], r := [ 0, 0,\
 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 1,\
 -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\
, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 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, -1, 0, 1, 1, -1, 1, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1,\
 -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, -2, 1, 1, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, -1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1\
, 0, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 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, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -2, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 2, 1, 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, -1, 0, 1, 1, -1, 1, 2, 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, -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, 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, 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, -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, 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, 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, 0, 0, 0, 1, 0, 1, 0, -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, 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, 0, 1, 0, 0, 0, 0, 1, 0, -1 ], [\
 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, -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, 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, 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, -1, 0, 0, 0, 1, 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, -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, 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, -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, -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, 1, 0, 0, 1, 0, 0, -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, 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, -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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 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, -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, -1, 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, 1, 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, -1 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, \
0, 0, 1, 0, 1, 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, 0, 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, 0, 0, -1, 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, 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, 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, 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, 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, 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, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 1, 0, -1,\
 0, 0, 0, -1, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "D8" ], 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 := [ [ -3, 0, 0, 2, 0, 0, 0, 0\
, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, 1 ], [ -2, 1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 1 ], [ -4\
, 0, 1, 3, -2, 1, 0, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, -3, 0, 0, -1, -1, 1 ], [ -6, 0, 0, 4, 0, 0, 0, 0, 3, -3, 0, 0, 0, -1, 0, 0, 0, 0, -3, 0, -3\
, 0, 0, 0, -3, 3 ], [ -6, 0, 0, 4, -1, 1, 0, 0, 3, -3, 0, 0, 0, -1, 0, 0, 0, 0, -3, 0, -4, 0, 0, -1, -2, 3 ], [ -4, 0, 0, 3, -2, 2, 0, 0, 2, -2, 0, 0, 0, \
-2, 0, 0, 0, 0, -2, 0, -3, 0, 0, -1, -1, 2 ], [ -2, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 1 ], [ -2, 0, 0, 1, 0, 0, \
0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 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 ], [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, -1, 1 ], [ 0, 0, 0, -1, 2, -1, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0 ], [ 2, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, -1, \
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,\
 -2, 0, 0, -1, 2, 0 ], [ -2, 0, 0, 2, -2, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 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, 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\
, 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, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
 ] ], 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\
, 0, 0, 0, 0, 0, 0, 0, 1/2, 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, 0, 1/2, 0, -1/\
2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1/2, 0, -1/2, -1/2, 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, 1/2, 0, 0, -1/2, 0, 0, 1/2 ], [\
 -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, -1/2, 0, -1/2, 0 ], [ 1/2, 1, -1/2, 0, 0,\
 0, 0, 0, -1/2, 1/2, 1/2, 0, 1, 1/2, 1/2, 0 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, -1, -1/2, -1/2, 0 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/\
2, -1/2, -1/2, 0, -1/2, 0, -1/2, -1 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0,\
 0, 1/2, -1/2, -1 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, -1/2, 1/2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, -1/2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 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, -1/2, 0, 0, \
0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 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, 0, -1/2, 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, -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, 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, -1/2, 0, 0 ], [ 0, 0, 0, 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, 1/2, 0, 0, -1/2, 1/2, 1/2 ], [ 1/2, 0,\
 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2 ], [ -1/2, -1, 1/2, 0, 0, \
0, 0, 0, 1/2, -1/2, -1/2, 0, -1/2, 0, -1/2, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, -1, -1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0\
, 0, -1/2, 1/2, 1/2, 0, 1, 1/2, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, -1/2, 0, -1/2, -1/2 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2,\
 1/2, 0, 1/2, 0, 1/2, 1/2 ], [ 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, 0, -1/2, 0, 0, 1/2, 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, 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, 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, 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, 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, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1/2, 1/2, 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, 0, 0, 1/2, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, \
0, -1/2, 0, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 1/2, 0, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2 ], \
[ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, -1/2, 0, 0, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, -1, -1/2, -1, -1/2 ], [ 1/2, 1\
, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1, 1/2, 1, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, -1/2, 0, -1, -1/2 ], [ -1/2, 0, -1/2, 0, 0, 0,\
 0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, 0, 1/2,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, -1/2, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 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, 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, 0, 1/2, 1/2, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
/2, -1/2, 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, 1/2, 0, 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, 0, 0, 1/2, -1/2, 0, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2, -1/2, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0,\
 0, -1/2, -1/2, 0, -1/2, 1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 1, 0, 1/2, 1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2,\
 -1/2, 0, -1, 0, -1/2, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, -1/2, -1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2\
, 0, 1/2, 1/2, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 0, -1/2, -1/2 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2, \
1/2 ], [ 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, -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, 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, -1/2, -1/2, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, -1/2, 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 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0,\
 1/2, 1/2, -1/2, 0, 0, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 1/2, 0, 0, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, -1\
/2, 1/2, 1/2, 1/2, 1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 1/2, -1/2, -1/2, -1/2, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2,\
 -1/2, -1, 0, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 1/2, 1, 0, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1/2, -1/2, -1/2,\
 1/2, -1/2, -1/2 ], [ -1/2, 0, -1/2, 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, 0, -1/2, -1/2, 1/2, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 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, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 1/2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, -1/2, 0, 0, 0 ], [ -1/2,\
 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0,\
 0, -1/2, 1/2, 0, 0, 1, 1/2, 1/2, 1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0, -1, -1/2, -1/2, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1/\
2, -1, 0, -1/2, 0, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 1, 0, 1/2, 0, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, -1, 0, 0, 1/2,\
 -1/2, -1/2 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 1, 0, 0, -1/2, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0, -1/2, 0, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, -1/2, 1/2, 1/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1\
/2, 0, -1/2, 1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, -1, 0, \
-1/2, -1/2 ], [ -1/2, -1, 1/2, 0, 0, 0, 0, 0, 1/2, -1, -1/2, 0, -1/2, -1/2, -1/2, -1/2 ], [ 1/2, 1, -1/2, 0, 0, 0, 0, 0, -1/2, 1, 1/2, 0, 1/2, 1/2, 1/2, 1\
/2 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1, -1/2, 0, 0, 0, -1/2, -1/2 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1, 1/2, 0, 0, 0, 1/2, 1/2 ], [ 0, 1, -1, 0, 0, \
0, 0, 0, -1/2, 1, 1, 0, 1, 0, 1, 1 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 1/2, -1, -1, 0, -1, 0, -1, -1 ], [ -1, -1, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -1/2, -1/2, 0,\
 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 1/2, 0, 0 ] ], embR := [ [ 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1,\
 -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1\
, -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, -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, -1, 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, 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 ] ], embS := [ [ -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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, \
0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, -2, -1 ], [ 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 ] ], generatorsOL10D := [ \
[ [ 3, 2, 4, 5, 4, 4, 3, 3, 2, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -4, -4, -3, -3, -2, -1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, 2\
, 4, 5, 5, 5, 4, 3, 2, 1 ], [ -2, -2, -4, -5, -4, -4, -4, -3, -2, -1 ], [ 2, 2, 4, 5, 4, 3, 3, 3, 2, 1 ], [ -2, -2, -4, -5, -4, -3, -2, -2, -2, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 3, 2, 4, 5, 4, 3, 2, 2, 1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, \
-4, -3, -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 ], [ 2, 2, 4, 5, 4, 3, 3, 3, 2\
, 1 ], [ -2, -2, -4, -5, -4, -3, -2, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 2, 2, 4, 5, 4, 3, 2, 1, 0, 0 ] ], [ [ 0, -1, -1, -1, -1, -1, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 1, 1, 1, 1, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 2, 2, 2, 1, 0, 0, 0 ], [ -2, -1, \
-2, -4, -4, -4, -3, -2, -1, 0 ], [ 2, 1, 2, 4, 4, 4, 3, 3, 2, 1 ], [ 0, 0, 0, -1, -1, -1, -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, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 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, -1, -2, -2, -1, -1, -1, -1, 0 ], [ 1, 0, 1, 2, 2, 2, 2, 2, 2, 1 ], [ -1, 0, -1, -2, -2, -2, -2, -2, -\
1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, 2, 2, 2, 1, 0, 0, 0 ] ] ], interiorpt := [ 1025, 736, 1499, 2156, 1815, 1578, 1183, 946, 578, 237 ],\
 isomto := [ ], m4R := 1824, name := "12B", ogR := 7491236659200, orderOL10D := 24, projR := [ [ -1, -7, 0, 3, 0, 3, 3, 0, 7/2, 0, 0, -3, 1, 1, -3, 1/2 ],\
 [ -1, -5, 0, 2, 0, 2, 2, 0, 5/2, 0, 0, -3/2, 1/2, 1/2, -3/2, 0 ], [ -2, -10, 0, 4, 0, 4, 4, 0, 5, 0, 0, -4, 3/2, 3/2, -4, 1/2 ], [ -5/2, -14, 0, 11/2, 0,\
 11/2, 11/2, 0, 7, 0, 0, -11/2, 5/2, 2, -5, 0 ], [ -2, -12, 0, 5, 0, 5, 5, 0, 6, 0, 0, -5, 2, 3/2, -9/2, 0 ], [ -3/2, -9, 0, 7/2, 0, 7/2, 7/2, 0, 9/2, 0, \
0, -3, 3/2, 3/2, -7/2, 0 ], [ -1, -9, 0, 4, 0, 4, 4, 0, 9/2, 0, 1/2, -7/2, 1, 1, -7/2, 1/2 ], [ -1/2, -4, 0, 3/2, 0, 3/2, 3/2, 0, 2, 1/2, 0, -3/2, 1, 3/2,\
 -1, 1/2 ], [ 0, -4, 0, 2, 0, 2, 2, 0, 2, 0, 0, -2, 1/2, 1/2, -2, 0 ], [ 0, -2, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0, -1/2, 1/2, 1/2, -1/2, 0 ], [ 0, -1, 0, \
1, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0 ], [ 0, 1, 0, -1, 0, 0, -1, 0, -1/2, 0, 0, 1, 1/2, 1/\
2, 1, 0 ], [ 0, -1, 0, 0, 0, 0, 1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 0, 1, 0, 1, 1, 0, 3/\
2, 0, 0, -1, 0, 0, -1, 0 ], [ 0, 1, 0, -1, 0, -1, -1, 0, -1/2, 0, 0, 1, 1/2, 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, 1, 0, 0, 0, 0, 0 ], [ 0, -2, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, 0, 0, -1, 0 ], [ 0, -2, 0, 1, 0, 1, 1, 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, 0, 0, 0, 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 := [ [ 12, 15/2, 15, 47/2, 20, 33/2, 13, 19/\
2, 6, 3 ], [ 17/2, 5, 21/2, 33/2, 14, 23/2, 9, 13/2, 4, 2 ], [ 17, 21/2, 21, 33, 28, 23, 18, 13, 8, 4 ], [ 49/2, 15, 30, 47, 40, 33, 26, 19, 12, 6 ], [ 21\
, 13, 26, 81/2, 34, 28, 22, 16, 10, 5 ], [ 33/2, 10, 20, 63/2, 53/2, 43/2, 17, 25/2, 8, 4 ], [ 16, 10, 20, 31, 26, 21, 16, 23/2, 7, 7/2 ], [ 17/2, 5, 10, \
16, 27/2, 11, 17/2, 6, 4, 2 ], [ 8, 5, 10, 31/2, 13, 21/2, 8, 11/2, 3, 3/2 ], [ 7/2, 2, 4, 13/2, 11/2, 9/2, 7/2, 5/2, 3/2, 1 ], [ 2, 1, 2, 7/2, 3, 5/2, 2,\
 3/2, 1, 0 ], [ 2, 1, 2, 7/2, 3, 5/2, 2, 3/2, 1, 1/2 ], [ -1, -1, -2, -5/2, -2, -3/2, -1, -1/2, 0, 0 ], [ 2, 1, 2, 7/2, 3, 5/2, 2, 3/2, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1/2 ], [ 3, 2, 4, 6, 5, 4, 3, 2, 1, 1/2 ], [ -1, -1, -2, -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 ], [ 3, 2, 4, 6, 5, 4, 3, 2, 1, 0 ], [ 3, 2, 4, 6, 5, 4, 3, 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, 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, 0, 1, -1, 0, -1, 0, \
2, 2, 0, 0, 1, 0, 1 ], [ 0, 1, 0, 0, -1, 1, 0, 1, 0, -2, -2, 0, 0, -1, 0, -1 ], [ 0, 0, 0, -1, 1, -1, -1, -2, 0, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 1, -1, \
1, 1, 2, 0, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 1, -1, 1, 1, 1, 1, -2, -2, -1, 0, 0, -1, -2 ],\
 [ 0, -1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 1, 0, 0,\
 0, 0, 1 ], [ 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 2, -1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 1, -2, 1, 1, 1, 1\
, -1, -1, 0, 1, 0, 0, -1 ], [ 0, -1, 0, -1, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 2 ], [ 0, 1, 0, 1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -2 ], [ 0, 0, 0, 1, 0\
, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1 ], [ 0, 1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 0 ], [ 0,\
 -1, 0, 0, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, -1, 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, 1 ], [ 0, 0, 0, 1, 0, 0, -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, 1 ], [ 0, 1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, -1, 0, 0, -1, 1, 1, 0,\
 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, -1, 0, 1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0 ], [ 0, 1, 0, -1, 1, 0, -1, 0, -1, -1, -1, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, \
0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 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, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0\
, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 1\
, 1 ], [ 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1\
, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, \
0, 0, -1, -1, -1, -1, 0, -1, -1 ], [ 0, -1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, -1,\
 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 \
], [ 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, -1,\
 -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1\
, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, -1, -1, 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, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], r\
ootstypeR := [ "A7" ], volindex := 3870720, wallrecs := [ rec( GramQ := [ [ -58, -94, -39, -61, -13, -30, -23, -1, -20, -21, -7, -10, 3, -11, -5, 8, -12 ]\
, [ -94, -162, -66, -103, -23, -46, -41, -3, -26, -27, -9, -18, 5, -19, -11, 16, -20 ], [ -39, -66, -28, -43, -9, -21, -17, -1, -13, -14, -4, -8, 2, -8, -\
4, 6, -8 ], [ -61, -103, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ -13, -23, -9, -14, -6, -6, -5, -1, -2, -2, 0, -2, 0, -2, \
-2, 2, -4 ], [ -30, -46, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ -23, -41, -17, -26, -5, -12, -14, -1, -6, -6, -2, -6, 0, -4, -\
4, 4, -4 ], [ -1, -3, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ -20, -26, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ -21\
, -27, -14, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ -7, -9, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ -10, -18, -8, -12\
, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ 3, 5, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ -11, -19, -8, -14, -2, -6, -4, 0, -4, -4, -\
2, -2, 2, -4, 0, 2, -2 ], [ -5, -11, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ 8, 16, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ -1\
2, -20, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -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, 4 ], [ 2, 0, 0, -2, 0, 2, -2, 4, -4 ] ], Sigma := [ [ 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0 ], [ -1, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 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, -1, -1, 2, 2, \
1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 1 ] ]\
, adjweyl := [ 5, 2, -7, 4, 2, -8, 8, -6, 23, 0, -13, 2, -14, -15, 1, -1, 19, 3, -4, -9, -40, 11, -4, 4, 7, -1 ], embQ := [ [ 1, 0, 0, -1, 0, 1, -1, 1, 0,\
 1, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 1, -3, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, -2, 2, -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, 2, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, -1, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 0, 0\
, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -2, 0, 1, -1, 0, -2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 2, 3, 1, 1, 0\
, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -3, -1, -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 ] ], r := [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 0 ], rlifts := [ [ -1, 0, 0, 1, 0, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1\
, -1, 0, 0, 0, 0, 1 ], [ 0, 0, -1, 1, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, 0, -1, 1, -1, 0 ] ], rootsQ := [ [ 0, -1, 1, 1, 0, 0, 0, 0, \
0, 0, 0, -1, 0, -1, 1, -1, 0 ], [ 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0 ], [ -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, -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, 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, -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, 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, 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 := [ [ -1, -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 ], [ 2, 1, 2, 4, 3, 3, 2, 2, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0 ], [ -2, -1, -2, -3, -3, -2, -2, -2, -1, 0 ], [ 2, 1, 2, 3, 3, 3, 3, 2, 1, 0 ], [ -2, -1, -2, -3, -3, -3, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0 ], [ 2, 1, 2, 3, 3, 3, 2, 2, 1, 1 ] ], thegtilde := [ [ 0, 0, -2, 3, 0, -3, 3, -3, 15, 1, -6, 0, -6, -6, 0, 0, 7, 1, -2, -9, -23, 6, -5, -1, 4, 1\
 ], [ -1, 1, -1, 2, 0, -2, 2, -2, 10, 0, -4, 0, -4, -4, 0, 0, 5, 1, -1, -6, -15, 4, -3, -1, 3, 1 ], [ -1, 0, -2, 4, 0, -4, 4, -4, 20, 2, -8, 0, -8, -8, 0,\
 0, 9, 1, -3, -12, -31, 8, -7, -1, 5, 1 ], [ -1, 0, -4, 6, 0, -5, 5, -5, 28, 3, -11, -1, -11, -11, 0, 0, 12, 1, -4, -17, -43, 12, -9, -2, 8, 1 ], [ -1, 0,\
 -4, 5, 1, -5, 5, -5, 25, 3, -10, 0, -10, -10, 0, 0, 11, 1, -4, -15, -39, 10, -9, -1, 6, 1 ], [ -2, 0, -2, 4, 0, -3, 4, -4, 19, 0, -7, -1, -7, -7, 0, 0, 9\
, 2, -2, -12, -28, 8, -5, -2, 6, 2 ], [ -2, 0, -2, 4, 0, -4, 5, -4, 20, 0, -8, 0, -8, -8, 0, 0, 10, 2, -2, -12, -30, 8, -6, -2, 6, 2 ], [ -1, 0, -1, 2, 0,\
 -2, 2, -1, 9, 0, -3, -1, -3, -3, 0, 0, 4, 1, -1, -6, -13, 4, -2, -1, 3, 1 ], [ -1, 0, -1, 2, 0, -2, 2, -2, 11, 0, -4, 0, -4, -4, 0, 0, 5, 1, -1, -6, -15,\
 4, -3, -1, 3, 1 ], [ 0, 0, -1, 1, 0, -1, 1, -1, 4, 2, -1, -1, -1, -1, 0, 0, 1, 0, -1, -3, -6, 2, -1, 0, 1, 0 ], [ 0, 0, 1, -1, 0, 1, -1, 1, 1, -1, 0, -1,\
 0, 0, 0, 1, 0, -1, 0, -1, -1, 1, 1, -2, 2, 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, 1, -1, 0, 1\
, -1, 1, -3, -1, 1, 0, 1, 1, -1, -1, 0, 2, 3, 2, 6, 0, 2, 0, 1, 1 ], [ 0, 0, 1, -1, 0, 1, -1, 1, 1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 1, -2, 2, -\
1 ], [ 0, 0, -1, 1, 0, -1, 1, -1, 1, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -2, -1, 1, 0, 1, 0, 1 ], [ 0, 0, -1, 1, 0, -1, 1, -1, 5, 1, -1, -1, -2, -2, 0, 0, 2, 1\
, 0, -3, -7, 3, -1, 0, 2, 0 ], [ 0, 0, 1, -1, 0, 1, -1, 1, -3, -1, 2, -2, 2, 2, 0, 0, -1, 0, 1, 1, 6, 0, 3, -1, 1, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0\
, 0, 0, 0, 0, 0, -1, 0, -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, 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 ], [ -1, 0, -1, 2, 0, -2, 2, -2, 6, 0, -2, 0, -2, -2, 0, 0, 3, 1, -1, -4, -8, 2, -2, \
0, 1, 1 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, -1, 1, 1 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, -1,\
 -1, 0, -1, 0, 0, 1, -1, -1 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 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, 0, 1, 0 ], [ 0, 0, 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, -5\
2, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ -52, -90, 44, 67, 17, 25, 28, 2, 10, 10, 2, 13, -3, 13, 11, -15, 15 ], [ 27, 44, -28, -43, -9, \
-21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, 67, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, 17, -9, -14, -6,\
 -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, 25, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, 28, -17, -26, -5, -12, -1\
4, -1, -6, -6, -2, -6, 0, -4, -4, 4, -4 ], [ 2, 2, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 10, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4\
, 0, -4, 0, 0, -4 ], [ 6, 10, -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, 13, -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, 13, -8, -14, -2, -6,\
 -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, 11, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, -15, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2,\
 2, -4, 2 ], [ 8, 15, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -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, 4, 2, 0, 0, 0, 0 ], [ 4, -2, 4, -4, 0, 0, 0, 0, 0 ], [ 2, -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 := [ [ -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, -1, 0, 1, -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 ], [ 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, 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 := [ 4, 4, -8, 2, 4, -6, 6, -4, 21, 0, -13, 2, -14, -15, 1, -1, 18, 2, -3, -7, -37, 10, -3, 4, 6, 0 ], 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, 1, -2, 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, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, 4, -4, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, -4, 0, 0, -1, 1, -2, 0, 0, -1, 2 ], [ 0, -4, 2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 2, 0, 0, 0, 0, 3, -2, -1, 1, -1 ], [ -1, 2, -3, 4, -4, 2, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -2, 0, 0, 1, -1, -1, 2, 2, 0, 2 ], [ 2, 0, 2, -4, 2, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, -2, -1 ], \
[ 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 := [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ -1, 1, -1, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1 ] ], rootsQ := [ [ -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, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1 ], [ 1, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1 ], [ 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, \
-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, 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, 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, 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, \
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, 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, 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 := [ [ 0, 0, -1, -1, 0, 0\
, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 0, 0, 12, 0, -6, 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -3, -3, 5, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, \
0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 3, -2, -1, 4, 0 ], [ -1, 1, 0, 0, 1, 0, 0, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 9, -4, -5, 7, 1 ], [\
 -1, 1, -1, 1, 1, 0, 0, 0, 23, 0, -11, -1, -11, -11, 0, 0, 11, 0, 0, -12, -34, 11, -5, -5, 11, 1 ], [ 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, 7, -3, -3, 8, 0 ], [ 0, 0, 0, 0, 0, 0\
, 1, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 7, -4, -3, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 4, -1, -2\
, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 3, -2, -1, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, -1, -1, -1, 0, 0, \
1, 0, 0, -2, -4, 2, 0, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, -1, 0, 2, 2, 1, 4, 1, 1, 0, 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, 2, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, 0, 0, -1, 0, 0, 0\
, 4, -1, 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, 0, 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, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -1, -6, 1, -1, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, \
-2, 0, -2, -2, 0, 0, 2, 0, 0, -2, -5, 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, 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, -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, -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, 1, 0, -1, 0\
, 1 ] ] ), rec( GramQ := [ [ -32, -21, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ -21, -20, 18, 29, 6, 9, 10, 0, 4, 4, 2, 5, -4, 7, 3, -7, 6 \
], [ 27, 18, -28, -43, -9, -21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, 29, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -1\
2 ], [ 10, 6, -9, -14, -6, -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, 9, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, \
10, -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, 4, -13, -20, -2, -17,\
 -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ 6, 4, -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, 5, -8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, -4, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8\
, 7, -8, -14, -2, -6, -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, 3, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, -7, 6, 8, 2, 2, 4, 0\
, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, 6, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -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 := [ [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
, -1, 1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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 ], [ 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, 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 := [ 6, -2, -4, 2, 2, -6, 6, -4, 21, 0, -13, 2, -14, -15, 1, -1, 18, 2, -3, -7, -37, 13, -4, 2, 10, -3 ], 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, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, \
-2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1,\
 -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, -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, -1, 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, 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 ], [ -2, 0, -4, 4, 0, 0, 0, 0, 0\
, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 1, 3, 0, 3 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0,\
 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, \
-2, -1 ], [ 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, 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, 1, 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, 1, 0 ] ], rootsQ := [ [ 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, 1, -1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0 ], [ 0, 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, 1, -1 ], [ 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, -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, 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, 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, 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, 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, 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, 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 := [ [ 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, 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -3, -3, 6, 0 ], [ 0, -1, 1, 0, 0, 0, 0, 0,\
 8, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 5, -2, -2, 5, -1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -5, -5, 8, 1 \
], [ 0, 0, 0, 1, 0, 0, 0, 0, 23, 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,\
 0, 1, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -3, -3, 8, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 4, -1,\
 -2, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 4, -1, -1, 4, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, -1, -1, -1, 0,\
 0, 1, 0, 0, -2, -4, 2, 0, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 1, 1, 0, 1, -1 ], [ 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, 3 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, -1, -3, 1, 1, 0, 1, -2 ], [ 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, 1, 0, 3, -1 ], [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -1, -6, 2, 0, 0, 2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 4, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, -2, -5, 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, 1, 0, 0, 0, 0 ], [ 0, 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, -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, 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 := [ [ -36, 30, 46, 14, 15, 18, 6, 1, 5, 2, 8, 4, -2, 8, 6, -8, 8 ], [ 30, -28, -39, -14, -13, -14, -8, 1, -5, -2, -6, -6, 2\
, -6, -4, 6, -6 ], [ 46, -39, -76, -18, -24, -26, -6, -8, -12, -8, -12, -4, 6, -14, -4, 8, -12 ], [ 14, -14, -18, -10, -7, -5, -5, 1, -3, 0, -2, -4, 0, -2\
, -2, 2, -4 ], [ 15, -13, -24, -7, -10, -9, -3, -3, -5, -2, -4, -2, 0, -4, -2, 2, -4 ], [ 18, -14, -26, -5, -9, -14, -1, -3, -3, -2, -6, 0, 0, -4, -4, 4, \
-4 ], [ 6, -8, -6, -5, -3, -1, -6, 3, -1, 0, 0, -4, 0, 0, 0, 0, 0 ], [ 1, 1, -8, 1, -3, -3, 3, -6, -3, -2, -2, 2, 0, -2, 0, 0, -2 ], [ 5, -5, -12, -3, -5,\
 -3, -1, -3, -6, -2, -2, -2, 0, -2, 0, 0, -2 ], [ 2, -2, -8, 0, -2, -2, 0, -2, -2, -4, 0, 0, 2, -2, 2, 0, 0 ], [ 8, -6, -12, -2, -4, -6, 0, -2, -2, 0, -4,\
 0, 0, -2, -2, 2, -2 ], [ 4, -6, -4, -4, -2, 0, -4, 2, -2, 0, 0, -4, 0, 0, 0, 0, 0 ], [ -2, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, -4, 2, -2, 0, 0 ], [ 8, -6, -\
14, -2, -4, -4, 0, -2, -2, -2, -2, 0, 2, -4, 0, 2, -2 ], [ 6, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, 0, -2, 0, -4, 2, -2 ], [ -8, 6, 8, 2, 2, 4, 0, 0, 0, 0, \
2, 0, 0, 2, 2, -4, 2 ], [ 8, -6, -12, -4, -4, -4, 0, -2, -2, 0, -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, -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, 0, -1, -1, 0, 0, -1, 0, -\
1, -1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, 1 ], [ 0, 0, 0, -1, 1, -1, -1, -1, -2, 2, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 1,\
 -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 1, -1, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 1, -1, 1, 1, 2, 1, -2, -2, -1, -1, 0, 0, -1, -2 ],\
 [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1\
, 0, 0, -1, 0, 0 ] ], adjweyl := [ 6, 2, -6, 2, 2, -6, 6, -4, 21, 0, -13, 2, -14, -15, 1, -1, 18, 2, -3, -8, -36, 11, -3, 3, 8, -2 ], embQ := [ [ 1, 0, -1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, -1, 0, 0, 0, -3, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 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, \
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, -1, 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, -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, -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, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], \
[ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, -2, -1 ], [ 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 ], [ 2, 0, -2, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, \
0, 0, -2, -2, 0, 1, 1, 0, 0, -2, -2, -2 ] ], 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, 0, 0, 0, 1, 1, 1\
, -1, 1, 0, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, 0, -1, -1 ] ], rootsQ := [ [ 0, -1, 1, 0, 0, 0, 0, 0\
, 0, -1, -1, 0, 0, -1, 0, -1, -1 ], [ 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1 ], [ 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, -1 ], [\
 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, 1 ], [ 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, 1, -1, 1, 1, 1, 2, -2, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, -1, 1, -1, -1, -1, -2, 2, 2, 2, 1, 0, 0, 1, 2 ], [ 0, -1, 0, 0, 0,\
 1, 1, 0, 1, -1, -1, 0, -1, 0, 0, -1, 0 ], [ 0, 1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 0, 1, 0, 0, 1, 0 ], [ 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, 1, -1,\
 -1 ], [ 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, -1, 0, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, 0,\
 -1, 1, 1, 0, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, -1, -1, -1, 0, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, -1, 0, -1, 1, 1, 1, 1, 0, 0, 1, 1 ], [ \
0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 1, \
0, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, -1, -1, 0, 1, 1, 0, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1,\
 0, 1, 1, 1, 0, -1, -1, 0, -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, 0, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1 ], [ 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 1, -1, -1 ], [ 0, 1, 0, 0, 0, -1, -1\
, -1, 0, 1, 1, -1, 1, 0, 0, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 1, 1, 0, -1, -1, 1, -1, 0, 0, -1, 0 ], [ 0, 0, 0, -1, 1, -1, -1, -2, -1, 2, 2, 1, 1, 0, 0, 1, 2 ]\
, [ 0, 0, 0, 1, -1, 1, 1, 2, 1, -2, -2, -1, -1, 0, 0, -1, -2 ], [ 0, 0, 0, 1, -2, 1, 1, 1, 1, -1, -1, -1, 0, 1, 0, 0, -1 ], [ 0, 0, 0, -1, 2, -1, -1, -1, \
-1, 1, 1, 1, 0, -1, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 0, 0, 1, 1, -1, -1, -1, 0, 0, 0, 0, -1 ], [ 0, -1, 0, 0, 1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 1 ], [ 0, \
1, 0, 0, -1, 0, 1, 1, 1, -1, -1, -2, 0, 0, 0, 0, -1 ], [ 0, -1, 0, 0, 1, 0, -1, -1, -1, 1, 1, 2, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 1, 0, 1, 1, -2, -2, -1\
, 0, 0, -1, 0, -1 ], [ 0, -1, 0, 0, 1, -1, 0, -1, -1, 2, 2, 1, 0, 0, 1, 0, 1 ], [ 0, 1, 0, 1, -1, 0, 0, 1, 1, -1, -1, -2, 0, 0, 0, 0, -2 ], [ 0, -1, 0, -1\
, 1, 0, 0, -1, -1, 1, 1, 2, 0, 0, 0, 0, 2 ], [ 0, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0\
, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 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, 1, 0, 0, 0, -1, -1, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 1, 0\
, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, -1 ], [ 0, -1, 0, 1, -1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 0, 1, 0, -1, 1, 0, -1, 0, 0, -1, -1, 0, 0, -1, -1, 0\
, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, \
1, -1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0 ], [ 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1,\
 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 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, -1, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, 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, 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, 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, 4, -2, -2, 4, 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, 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, 0, 1, 0, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -4, -4, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3\
, 0, 0, -4, -10, 4, -1, -2, 4, 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, 4,\
 -1, -1, -1, -1, -1, 0, 0, 2, 1, 1, -2, -4, 2, 1, -1, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -3, -2, 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, -2, -2, 1, 0, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0\
, 1, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 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, -2, -5, 2, -1, -1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 65, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ 65, -144, -61, -98, -22, -41, -39,\
 -4, -21, -21, -8, -17, 6, -18, -10, 14, -18 ], [ 27, -61, -28, -43, -9, -21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, -98, -43, -72, -14, -32\
, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, -22, -9, -14, -6, -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, -41, -21, -32, -6, -22, -\
12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, -39, -17, -26, -5, -12, -14, -1, -6, -6, -2, -6, 0, -4, -4, 4, -4 ], [ 2, -4, -1, -2, -1, 0, -1, -2, 2,\
 2, 0, 0, 0, 0, 0, 0, 0 ], [ 6, -21, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ 6, -21, -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, -17, -8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ \
-2, 6, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, -18, -8, -14, -2, -6, -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, -10, -4, -4, -2, -2, -4,\
 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, 14, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, -18, -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, -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, 1, -2, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 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, 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, 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 := [ 7, 2, -7, 2, 2, -6, 6, -2, 19, 0, -13, 2, -14, -15,\
 1, -1, 17, 1, -3, -6, -37, 11, -3, 2, 7, -3 ], 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, 0,\
 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, -2, -3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -\
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, -1, 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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0,\
 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, \
-2, -1 ], [ 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, -1, -3, -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, 2, 0, 0, -1, -1, -1 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0 ], rlifts := [ [ 1, 0, -1, 0, 0, 0, 0, 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, 1, -2, 1, 0, 0, 0, 0, 0, 0, -\
1, -1, 0, 1, 0, 0, -1, -1, -1, -1 ] ], rootsQ := [ [ 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1 ], [ 0, -1, 2, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0,\
 1, 1, 1, 1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 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, 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, 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, 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, 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, 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, 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 := [ [ 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ], thegtilde := [ [ 2, 0, -1, 0, 0, 0, 0, 1, 12, -1, -6,\
 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -2, -3, 6, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 1, 8, -1, -4, 0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 4, -1, -2, 4, 0 ], [ 2, 0,\
 -1, 0, 0, 0, 0, 2, 16, -2, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -2, -4, 8, 0 ], [ 2, 0, -2, 1, 0, 0, 0, 2, 23, -2, -11, -1, -11, -11, 0, 0, 11, 0, 0\
, -12, -34, 12, -3, -6, 12, 0 ], [ 2, 0, -2, 0, 1, 0, 0, 2, 20, -2, -10, 0, -10, -10, 0, 0, 10, 0, 0, -10, -30, 10, -3, -5, 10, 0 ], [ 1, 0, -1, 0, 0, 1, \
0, 1, 15, -1, -7, -1, -7, -7, 0, 0, 7, 0, 0, -8, -22, 8, -2, -4, 8, 0 ], [ 2, 0, -2, 0, 0, 0, 1, 2, 16, -2, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -2, \
-4, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 4, -1, -2, 4, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 2, 7, 0, -4, 0, -4, -4, 0, \
0, 3, -1, 0, -3, -12, 4, -2, -3, 3, -1 ], [ 1, 0, -1, 0, 0, 0, 0, 1, 3, 0, -1, -1, -1, -1, 0, 0, 1, 0, 0, -2, -4, 2, 1, -1, 2, 0 ], [ -1, 0, 1, 0, 0, 0, 0\
, -1, 2, 1, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 1, -1, -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, -1, 0, -1, 1, 0, 1, 1, -1, -1, 1, 3, 2, 0, 4, 0, 2, 2, 1, 2 ], [ -1, 0, 1, 0, 0, 0, 0, -1, 2, 1, 0, -1, 0, 0, 1, 0, 0, -1, -1, -1,\
 -3, 1, -1, -1, 1, -1 ], [ 1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, 1, 1, 2, 0, 1, 1 ], [ 1, 0, -1, 0, 0, 0, 0, 1, 4, -1, -1, -1, -\
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,\
 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, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 0, 2, 1, 1, 1 ], [ 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 ], [ 1, 0, -1, 0, 0, 0, 0, 2, 2, 0, -2, 0, -2, -2, 0, 0, 1, -1, 0, -1, -5,\
 2, -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, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -29,\
 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ -29, -32, 24, 39, 11, 13, 17, 3, 3, 2, 1, 7, -2, 6, 6, -6, 8 ], [ 27, 24, -28, -43, -9, -21, -17,\
 -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, -\
4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, 6, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, -6, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ \
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 ], [\
 0, 0, 0, 0, 0, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, -2, 2, 2, -4 ] ], Sigma := [ [ 0, 1, 1, 0, 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, 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 ]\
, [ 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, 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 := [ \
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, \
0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 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, 0, 1, 0, \
0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ -1, 0, 1, 0, 2, -4, 2, -2, \
2, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, -2, -1, 1, -1, 1, -1, 0 ], [ 1, 0, -1, 0, 0, 2, -4, 4, -2, 0, 0, 0, 0, 0, 0, 0, -3, -2, 2, 3, 2, 1, 0, -2, 0, 0 ], [ 1, \
0, -1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -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, 1, 0, 0,\
 0, 0, 0 ] ], r := [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, \
0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1 ] ], rootsQ := [ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, 1 ], [ 0, \
-1, -1, 0, 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, 0, 0, 0, -1, -1 ], [ 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1,\
 0, 0, 0, 1, 1 ], [ 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, -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, 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, 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, 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, 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, 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, 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 := [ [ 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\
, 0, -4, -12, 4, -2, -2, 4, 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, 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,\
 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, 2, 0, -1, 2,\
 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,\
 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, 1, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 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,\
 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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\
, 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, 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, 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\
, 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, -1, 0, 0, 0, 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, 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 ], [\
 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, 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,\
 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0\
, -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, \
-21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, -4, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ 10, -1, -9, -14, -6,\
 -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, -4, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ 18, -1, -17, -26, -5, -12, -1\
4, -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, -4, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4\
, 0, -4, 0, 0, -4 ], [ 6, -4, -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, 0, -8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, 0, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ 8, 0, -8, -14, -2, -6, -\
4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, 0, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -8, -2, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, \
-4, 2 ], [ 8, -1, -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, -8, 2, 0, 0, 4, -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, 4, 0, 0, 2, -8, 4, 2, 0 ], [ 0, -2, 0, 0, 0, 4,\
 -4, 0, 0 ], [ 0, -2, 0, 0, 0, 2, 0, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 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, 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 ], [ 0, 1, 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, 1 ], [ 0, 0, 0, 0, 1, 0\
, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0 ]\
 ], adjweyl := [ 6, 4, -6, 2, 2, -8, 6, -2, 21, 0, -13, 2, -14, -15, 1, -1, 18, 1, -3, -7, -37, 11, -3, 2, 6, -3 ], 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, 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, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, -2, 4, -2, 0, 0, 0, 0, 0, 0, \
0, -2, -2, 1, 2, 2, 3, -1, -3, 1, -2 ], [ -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, 2, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 0, 0, 0\
, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, -3, -3, 0, -1, 2, -1, 0 ], [ 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 ], [ 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 := [ 1, 0, 1, 2, 2, 2, 1, 0, 0, 0 ], rlifts := [ [ 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0 ] ], rootsQ := [ [ 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, -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, 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, 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, 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, -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, -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, -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, 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, 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, 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, -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, 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, 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, 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, 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\
 ], [ 1, 1, 1, 2, 2, 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 ], [ -1, 0, -1, -\
2, -2, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 0, 1, 2, 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, 1 ] ], thegtilde := [ [ 1, 1, 0, 0, 0, -1, 0, 1, 12, 0, -6, 0, -6, -6, 0, 0, 6, 0, 0, -6, -18, 6, -3, -3, 5, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, -4, \
0, -4, -4, 0, 0, 4, 0, 0, -4, -12, 4, -2, -2, 4, 0 ], [ 0, 1, 1, 0, 0, -1, 0, 1, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -4, -4, 7, -1 ], [ 0, 2,\
 0, 1, 0, -2, 0, 2, 23, 0, -11, -1, -11, -11, 0, 0, 11, -1, 0, -12, -34, 12, -5, -7, 10, -1 ], [ 0, 2, 0, 0, 1, -2, 0, 2, 20, 0, -10, 0, -10, -10, 0, 0, 1\
0, -1, 0, -10, -30, 10, -5, -6, 8, -1 ], [ 0, 2, 0, 0, 0, -1, 0, 2, 15, 0, -7, -1, -7, -7, 0, 0, 7, -1, 0, -8, -22, 8, -3, -5, 6, -1 ], [ 0, 1, 0, 0, 0, -\
1, 1, 1, 16, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -4, -4, 7, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 4, -1, \
-2, 4, 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, 2, 0, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -2, -3, 1, 0, 0, 1, -1 ], [ 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, 1, 2, 1, 4, 0, 1, 0, 0, 2 ], [ 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, 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, 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, 1, 0, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1,\
 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 ], [\
 -1, 1, 0, -3, -2, -1, -6, 2, 2, -6, 2, 2, -2, 2, 0, -2, 2 ], [ 6, -13, -20, -2, -17, -6, 2, -18, -18, 0, -4, -4, 0, -4, 0, 0, -4 ], [ 6, -14, -20, -2, -1\
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,\
 0, 2, -2, 2, 0, 0 ], [ 6, -6, -8, 0, -4, -4, 2, -4, -4, 2, 0, -4, 0, -2, -2, 2, -2 ], [ 0, 0, 2, -2, -2, -2, -2, 0, 0, -2, 2, 0, -4, 2, -2, 0, 0 ], [ 6, \
-6, -10, 0, -4, -2, 2, -4, -4, 2, -2, -2, 2, -4, 0, 2, -2 ], [ 6, -4, -4, -2, -2, -4, 0, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ -6, 4, 4, 0, 0, 2, -2, 0, 0\
, -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\
, 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, 0, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 1,\
 0, 0, 1, 0 ], [ 1, 2, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 1, -1, 1, 1, 2, 0, -2, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 2, 1, 0, 0, 1, 2 ],\
 [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 1, 0, -1, 0, -1, 0, -1, 0, \
1, 1, 1, 1, 0, 0, 1, 1 ] ], adjweyl := [ 6, 2, -6, 2, 2, -6, 6, -4, 23, 0, -15, 2, -16, -17, 1, -1, 20, 2, -3, -6, -40, 13, -2, 4, 10, -2 ], embQ := [ [ 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, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, -2, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 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, 1, 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, 0, 0, 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, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, -2, 1, -1, -1, 1, -1, 3 ], [ 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 ], [ 0, 2, -4, 2, 0, 0, 0, 2, -2, 0, -1, 0, -1, -1, 0, 0, -1, -1, 0, 2, -1, 0, 1, 1, -2, 1 ], [ 2, 0, 2\
, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1\
, 0 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, -2, -1 ], [ 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 ], [ 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 := [ 2, 2, 4, 5, 4, 3, 2, 1, 0, 0 ], rlifts := [ [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 1, \
0, 0, 1, -1, 1, 0, 0, 1, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 2, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, -2, 1, 1, 1, 1, 0 ] ], rootsQ := [ [ -1, 0, 0, -1, 0, -1, \
-1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 1, 0, 0, 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0 ], [ -1, -2, 0, 1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, -1, -1, 0 ]\
, [ 1, 2, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1,\
 -1, 0, 0, -1, 0, 1 ], [ 0, 1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 1, 0, 0, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 1, 1, 0, -1, -1, -1, -1, 0, 0, -1, 0 ], [ 0, 1, 0, 0\
, 0, -1, -1, 0, -1, 1, 1, 1, 1, 0, 0, 1, 0 ], [ 0, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0 ], [ 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, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 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, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, -2 ], [ 0, -1, 0, -1, 1, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, 2 ], [ 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, 2, 2, 0, 0, 1\
, 0, 1 ], [ 0, 1, 0, 0, -1, 1, 0, 1, 0, -1, -2, -2, 0, 0, -1, 0, -1 ], [ 0, 0, 0, -1, 1, -1, -1, -2, 0, 2, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 1, -1, 1, 1, \
2, 0, -2, -2, -2, -1, 0, 0, -1, -2 ], [ 0, 0, 0, -1, 1, -1, -1, -1, -1, 2, 2, 2, 1, 0, 0, 1, 2 ], [ 0, 0, 0, 1, -1, 1, 1, 1, 1, -2, -2, -2, -1, 0, 0, -1, \
-2 ], [ 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, -1, 0, 0, 0, 0, -1 ], [ 0, -1, 0, 0, 1, 0, 0, -1, 0,\
 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, -1, 2, -1, -1, -1, -1, 1, 1, 1, 0, -1, 0, 0, 1 ], [ 0, 0,\
 0, 1, -2, 1, 1, 1, 1, -1, -1, -1, 0, 1, 0, 0, -1 ], [ 0, -1, 0, 1, -1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0 ], [ 0, 1, 0, -1, 1, 0, -1, 0, -1, 0, -1, -1, 0\
, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1, \
1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0 ], [ 0, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, 1, -1, -1 ], \
[ 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, \
0, 0, 1, 0, -1, 1, 1 ], [ 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, \
0, 0, 0 ], [ 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, -1, 0, 1, -1, 1, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1, 1, -1, -1, \
0, -1, 1, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 1, 0, -1, 0, -1, -1, -1, 0, 2, 1, 1, 1, 0, 0, 1, 1 ], [ 0, -1, 0, 1, 0, 1, 1, 1, 0, -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, 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,\
 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, -1, 0, 0, -1, -1 ], [ 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, 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 ] ], rootstypeQ := [ "A1", "A1", \
"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, \
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, 2, 4,\
 5, 4, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 3, 0, -2, 0, 0, 0, 0, 0, 20, 0, -12, 0, -12, -12, 0, 0, 12, 0, 0, -4, -28, 12\
, 1, 1, 12, 0 ], [ 2, 1, -2, 0, 0, 0, 0, 0, 14, 0, -8, 0, -8, -8, 0, 0, 8, 0, 0, -3, -19, 8, 1, 1, 8, 0 ], [ 4, 0, -3, 0, 0, 0, 0, 0, 28, 0, -16, 0, -16, \
-16, 0, 0, 16, 0, 0, -6, -38, 16, 2, 2, 16, 0 ], [ 5, 0, -5, 1, 0, 0, 0, 0, 41, 0, -24, -1, -24, -24, 0, 0, 24, 0, 0, -8, -56, 25, 4, 3, 25, 0 ], [ 4, 0, \
-4, 0, 1, 0, 0, 0, 34, 0, -20, 0, -20, -20, 0, 0, 20, 0, 0, -7, -47, 20, 2, 2, 20, 0 ], [ 3, 0, -3, 0, 0, 1, 0, 0, 27, 0, -16, -1, -16, -16, 0, 0, 16, 0, \
0, -5, -37, 17, 3, 2, 17, 0 ], [ 2, 0, -2, 0, 0, 0, 1, 0, 24, 0, -14, 0, -14, -14, 0, 0, 14, 0, 0, -6, -34, 14, 0, 0, 14, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 1, \
13, 0, -8, -1, -8, -8, 0, 0, 8, 0, 0, -2, -18, 9, 2, 1, 9, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, -6, 0, -6, -6, 0, 0, 6, 0, 0, -3, -15, 6, -1, -1, 6, 0 ],\
 [ 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\
, 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, 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,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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,\
 2, 0, 0, 0, 0 ], [ 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, 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, 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,\
 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, \
2, -4, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, -1, -2, 0, 0, -2, 0, -4, 1 ], [ 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, -2, 4, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, -2, 0, 1, 2, 0, -1, 2, 2, 1, 3 ], [ 2, 0, 2, -4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, \
-1, -1, -1, 1, -1, -1, -1, -3 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 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 := [ 2, 2, 4, 5, 5, 5, 4, 3, 2, 1 ], rlifts := [ [ 1, 0, -1, 1, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, -2, 2, 0, 0, 0, 0 ], [ 1, 0, -1, \
1, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, -2, 1, 0, 1, 1, 0 ] ], rootsQ := [ [ 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, -1, 0, -1, -1, 0 ], [ -1, -1, -1, 0, 1, 0, 1, 1, 0, 1, 0, 0, -2, 0, 0, 0, 0 ], [ 1, 1, 1, 0, -1, 0, -1, -1, 0, -1, 0, \
0, 2, 0, 0, 0, 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, 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, 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, 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, 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, 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, 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 := [ [ 3, 2, 4, 5, 5, 5, 4, 3, 2, 1 ], [ 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -3, -5, -5, -5, -4, -3, -2, -1 ], [ 2, 2, 4, 6, 5, 5, 4, 3, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -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 := [ [ 9, 0, -8, 8, 0, -8, 0, 0, 20, 0, -14, 0, -14, -14, 0, 0, 14, 0, 0, -6, -34, 18, -3, 1, 10, 0 ], [ 6, 1, -6, 6, 0, -6, 0, 0, 14\
, 0, -10, 0, -10, -10, 0, 0, 10, 0, 0, -4, -24, 13, -2, 1, 7, 0 ], [ 12, 0, -11, 12, 0, -12, 0, 0, 28, 0, -20, 0, -20, -20, 0, 0, 20, 0, 0, -8, -48, 26, -\
4, 2, 14, 0 ], [ 17, 0, -17, 18, 0, -17, 0, 0, 40, 0, -28, -1, -28, -28, 0, 0, 28, 0, 0, -12, -68, 38, -5, 2, 20, 0 ], [ 15, 0, -15, 15, 1, -15, 0, 0, 35,\
 0, -25, 0, -25, -25, 0, 0, 25, 0, 0, -10, -60, 33, -5, 2, 17, 0 ], [ 13, 0, -13, 13, 0, -12, 0, 0, 28, 0, -20, -1, -20, -20, 0, 0, 20, 0, 0, -8, -48, 27,\
 -3, 3, 15, 0 ], [ 12, 0, -12, 12, 0, -12, 1, 0, 28, 0, -20, 0, -20, -20, 0, 0, 20, 0, 0, -8, -48, 26, -4, 2, 14, 0 ], [ 7, 0, -7, 7, 0, -7, 0, 1, 14, 0, \
-10, -1, -10, -10, 0, 0, 10, 0, 0, -4, -24, 15, -1, 1, 7, 0 ], [ 6, 0, -6, 6, 0, -6, 0, 0, 15, 0, -10, 0, -10, -10, 0, 0, 10, 0, 0, -4, -24, 13, -2, 1, 7,\
 0 ], [ 3, 0, -3, 3, 0, -3, 0, 0, 6, 1, -4, -1, -4, -4, 0, 0, 4, 0, 0, -2, -10, 7, 0, 0, 3, 0 ], [ 2, 0, -2, 2, 0, -2, 0, 0, 4, 0, -2, -1, -2, -2, 0, 1, 2\
, -1, -1, -2, -7, 4, 0, 0, 2, 0 ], [ 2, 0, -2, 2, 0, -2, 0, 0, 4, 0, -2, -1, -2, -2, 0, 0, 2, 0, 0, -2, -6, 5, 1, 0, 3, 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 ], [ 2, 0, -2, 2, 0, -2, 0, 0, 4, 0, -2, -1, -2, -2, 1, 0, 2, -1, -1, -1, -7, 4, 0, 0, 2, -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 ], [ 2, 0, -2, 2, 0, -2, 0, 0, 6, 0, -3, -1, -4, -4, 0, 0, 4, 1, 1, -2, -9, 6,\
 0, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 0, -2, 2, 0, -2, 0, 0, 6, 0, -4, 0, -4,\
 -4, 0, 0, 4, 0, 0, -1, -10, 5, -1, 0, 3, 0 ], [ 2, 0, -2, 2, 0, -2, 0, 0, 6, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, -2, -9, 5, -1, 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, 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, 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 ] ] ), rec( GramQ := [ [ -12, -27, -13, -18, -6, -8, -8, 0, -4, -4, 1, \
-4, -1, -3, -5, 5, -6 ], [ -27, -74, -40, -60, -16, -24, -26, -2, -10, -10, -1, -12, 1, -11, -11, 13, -14 ], [ -13, -40, -28, -43, -9, -21, -17, -1, -13, \
-14, -4, -8, 2, -8, -4, 6, -8 ], [ -18, -60, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -14, -4, 8, -12 ], [ -6, -16, -9, -14, -6, -6, -5, -1, -2,\
 -2, 0, -2, 0, -2, -2, 2, -4 ], [ -8, -24, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2, 2, -6 ], [ -8, -26, -17, -26, -5, -12, -14, -1, -6, -6,\
 -2, -6, 0, -4, -4, 4, -4 ], [ 0, -2, -1, -2, -1, 0, -1, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -10, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0,\
 0, -4 ], [ -4, -10, -14, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 1, -1, -4, -8, 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ -4, \
-12, -8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -1, 1, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, -2, 0, 0 ], [ -3, -11, -8, -14, -2, -6, -4, \
0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ -5, -11, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ], [ 5, 13, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -\
4, 2 ], [ -6, -14, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -2, 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, 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 := [ [ 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, 0, -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, 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, -4, -2, 4, -6, 6, -4, 21, 0, -13, 2, -14, -15, 1, -1, 20, 2, -3, -7, -37, 11, -3, 2, 9, -4 ], embQ := [ [ 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, 2, -2, 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, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, 0, 4, -2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, -3, 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, 0, 4, -2, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 1, -1, 1, 0, 2, -2, 2 ], [ 2, 0, 2, 0, -6, 4, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, -1, 3, -2 ], [ 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, -1, 0, -2, -1 ], [ \
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, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 1, -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, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 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, 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, 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, -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, 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, 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, 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, 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, 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, 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 := [ [ 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 := [ [ 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, 4, -2, -3, 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 ], [ 1, 0, 1, -1,\
 1, 0, 0, 0, 23, 0, -11, -1, -11, -11, 0, 0, 12, 0, 0, -12, -34, 12, -5, -7, 12, -1 ], [ 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, -5, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 16, 0\
, -8, 0, -8, -8, 0, 0, 8, 0, 0, -8, -24, 8, -4, -5, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, -3, -1, -3, -3, 0, 0, 3, 0, 0, -4, -10, 4, -1, -3, 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, 2, 0, -1, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, -3, 1, 0, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, -2, -2, 2, 1, -2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, -1, 0, 2, 2, 1, 4, 0, 1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
2, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, -1, -3, 1, 0, -2, 0, -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\
, -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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] \
] ), rec( GramQ := [ [ -32, 42, 27, 42, 10, 16, 18, 2, 6, 6, 2, 8, -2, 8, 6, -8, 8 ], [ 42, -74, -42, -64, -16, -33, -28, -3, -19, -20, -3, -14, 0, -10, -\
8, 8, -13 ], [ 27, -42, -28, -43, -9, -21, -17, -1, -13, -14, -4, -8, 2, -8, -4, 6, -8 ], [ 42, -64, -43, -72, -14, -32, -26, -2, -20, -20, -8, -12, 6, -1\
4, -4, 8, -12 ], [ 10, -16, -9, -14, -6, -6, -5, -1, -2, -2, 0, -2, 0, -2, -2, 2, -4 ], [ 16, -33, -21, -32, -6, -22, -12, 0, -17, -18, -4, -6, 0, -6, -2,\
 2, -6 ], [ 18, -28, -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, -19\
, -13, -20, -2, -17, -6, 2, -18, -18, -4, -4, 0, -4, 0, 0, -4 ], [ 6, -20, -14, -20, -2, -18, -6, 2, -18, -20, -4, -4, 0, -4, 0, 0, -4 ], [ 2, -3, -4, -8,\
 0, -4, -2, 0, -4, -4, -4, 0, 2, -2, 2, 0, 0 ], [ 8, -14, -8, -12, -2, -6, -6, 0, -4, -4, 0, -4, 0, -2, -2, 2, -2 ], [ -2, 0, 2, 6, 0, 0, 0, 0, 0, 0, 2, 0\
, -4, 2, -2, 0, 0 ], [ 8, -10, -8, -14, -2, -6, -4, 0, -4, -4, -2, -2, 2, -4, 0, 2, -2 ], [ 6, -8, -4, -4, -2, -2, -4, 0, 0, 0, 2, -2, -2, 0, -4, 2, -2 ],\
 [ -8, 8, 6, 8, 2, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, -4, 2 ], [ 8, -13, -8, -12, -4, -6, -4, 0, -4, -4, 0, -2, 0, -2, -2, 2, -4 ] ], GramQperp := [ [ -8, -4, \
4, 2, 0, 4, -6, 2, 0 ], [ -4, -8, 6, 0, 0, 4, -6, 2, 0 ], [ 4, 6, -8, 2, 0, -4, 6, -2, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ]\
, [ 4, 4, -4, 0, 2, -8, 8, -2, 0 ], [ -6, -6, 6, 0, 0, 8, -12, 4, 0 ], [ 2, 2, -2, 0, 0, -2, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 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 ], [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, \
1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1 ], [ 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, 4, -8, 2, 2, -8, 10, -6, 23, 0, -15, 2, -16, -17, 1, -1, 22, 3, -5, -\
9, -43, 11, -2, 5, 8, -3 ], 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, 1, 0, 0, 0, -1, 2, -1, 0, 0,\
 0, 0, 0, 0, 0, 1, -1, 0, 0, -3, -3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -2, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, 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, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -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, -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, -1, 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, 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, 2, -4, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, -1, -3, -1\
, -2, -1, 2, -1, 3 ], [ 0, -4, 2, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -2, -2, 1, -1, 1, 3, 0 ], [ -1, 2, -3, 2, 0, 0, -2, 4, -2, 0, -1, 0, -\
1, -1, 0, 0, -2, -2, 1, 3, 1, 1, 1, 0, -2, 1 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, -2 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 2, -4, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 2, -1, -2, -3, -2 ], [\
 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,\
 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, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, \
0, 1/2 ], [ 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, -1/2 ], [ 1/2, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 1/2, -1/2, 1/2 ], [ -1\
/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, -1/2, 1/2, -1/2 ], [ -1/2, 1/2, -1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 1/2, 0, 0 ], [ 1/2\
, -1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, -1/2, 0, 0 ], [ -1/2, -1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, -1/2, 1/2 ], [ 1/2, 1/2, 0, -\
1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 1/2, -1/2 ], [ 1/2, 1/2, -1, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, -1/2, 1, 1/2, \
0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 0, 1/2 ], [ 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2,\
 0, -1/2 ], [ 0, -1, 1, 1/2, 0, 0, 1, 1, 0, 0, 1, 0, -1/2, 1/2, -1/2, 1 ], [ 0, 1, -1, -1/2, 0, 0, -1, -1, 0, 0, -1, 0, 1/2, -1/2, 1/2, -1 ], [ -1, -1/2, \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 1/2 ], [ 1, 1/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, -1/2 ], [ 1, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1/2, 0, 0, 0 ], [ -1, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 1/2, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1/2, 0, 1/2, -1/2 ], [ 0, -1/2, 1,\
 0, 0, 0, 1, 1, 0, 0, 1, 0, 1/2, 0, -1/2, 1/2 ], [ 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 ], [ -1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, -1/2, 1/2 ], [ 1/2, 0, -1, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 1/2, -1/2 ], \
[ 1/2, 1, 0, -1, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, -1, 0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 1/2, 0, 1/2, -1/2, 0,\
 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, -1/2, 0 ], [ -1/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 0, 1/2, 0 ], [ -1/2, 1/2, -1/2, 0, 0, 0, -1/2,\
 -1/2, 0, 0, -1/2, 0, 1/2, 0, 0, -1/2 ], [ 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 0, 0, 1/2 ], [ 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, 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 ], [ 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 0, -1/2, 1/2 ], [ -1/2, 1/2, -1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, \
1/2, 0, 1/2, -1/2 ], [ -1/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 0, 0, 0 ], [ 1/2, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0,\
 0 ], [ -1/2, -1, 0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0, -1/2, 1/2 ], [ 1/2, 1, 0, -1, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 0, -1\
, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2 ], [ -1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2 ], [ 0, 1/2, 1/2, -1/2, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, -1/2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1/2, 0, -1, 1/2 ], [\
 0, 1/2, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1/2, 0, 1, -1/2 ], [ -1, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0 ], [ 1, 0, 0, -1/2, 0, 0, 0, 0, 0,\
 0, 0, 0, -1/2, 0, 1/2, 0 ], [ 1, 1/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, -1/2 ], [ -1, -1/2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 1\
/2 ], [ 0, 1, -1, -1/2, 0, 0, -1, -1, 0, 0, -1, 0, 1/2, -1/2, 0, -1 ], [ 0, -1, 1, 1/2, 0, 0, 1, 1, 0, 0, 1, 0, -1/2, 1/2, 0, 1 ], [ 0, 0, -1/2, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, -1/2, -1/2, -1/2 ], [ 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 1/2, 1/2 ], [ -1/2, -1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, \
0, 0, -1/2, 1/2 ], [ 1/2, 1/2, -1, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2 ], [ 1/2, 1/2, 0, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2\
, 0, -1/2 ], [ -1/2, -1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2 ], [ 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, -1/2, -1/2, 0 ]\
, [ -1/2, 1/2, -1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 1/2, 1/2, 0 ], [ -1/2, 0, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, -1/2, 0, -1/2 ],\
 [ 1/2, 0, 1/2, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 1/2, 0, 1/2 ], [ 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, -1/2, -1/2 ], [ 0, -1/2, -1\
/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 1/2, 1/2 ], [ -1/2, -1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1, 1, 0, 1 ], [ 1/2, 1/2, -1/2, -1/2, 0, 0, -\
1/2, -1/2, 0, 0, -1/2, 0, 1, -1, 0, -1 ], [ 1/2, 1/2, -1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1, 1/2, 1/2, 0 ], [ -1/2, -1/2, 1/2, 1/2, 0, 0, 1/2, 1\
/2, 0, 0, 1/2, 0, 1, -1/2, -1/2, 0 ], [ 1/2, -1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 1/2, 0, 1/2 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/\
2, 0, 1/2, -1/2, 0, -1/2 ], [ -1/2, 0, -1, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 1/2, 1/2, 0 ], [ 1/2, 0, 1, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2\
, -1/2, -1/2, 0 ], [ 0, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, -1/2, 0, 1/\
2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1/2, 1/2, 1/2 ], [ 0, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, -1/2, -1/2 ], [ 1/2, 0, 1, -1/2, 0, 0, 1/2, 1/2, 0, 0,\
 1/2, 0, -1/2, 1/2, 0, 1/2 ], [ -1/2, 0, -1, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, -1/2, 0, -1/2 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, \
0, -1/2, 1/2, 1/2, 0 ], [ 1/2, -1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, -1/2, -1/2, 0 ], [ -1/2, -1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/\
2, 0, 1/2 ], [ 1/2, 1/2, -1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2 ], [ 1/2, 1/2, -1/2, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 1\
/2, -1/2 ], [ -1/2, -1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0, -1/2, 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, -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, -1/2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, -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, -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, 1/2, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, -1/2 ]\
, [ 0, -1, 1/2, 1/2, 0, 0, 1, 1, 0, 0, 1, 0, -1/2, 1/2, -1/2, 1 ], [ 0, 1, -1/2, -1/2, 0, 0, -1, -1, 0, 0, -1, 0, 1/2, -1/2, 1/2, -1 ], [ -1, -1/2, -1/2, \
1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 1/2 ], [ 1, 1/2, 1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, -1/2 ], [ 1, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, \
0, -1/2, 0, 0, 0 ], [ -1, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 1/2, -3/2, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1/2, 0, 1/2, -1/2 ], [ 0, -1\
/2, 3/2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1/2, 0, -1/2, 1/2 ], [ 0, -1/2, -1, 1/2, 0, 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, 0 ], [ -1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, -1/2, 1/2 ], [ 1/2, 0, -1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 1/2, \
-1/2 ], [ 1/2, 1, -1/2, -1, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 0, 0, 0, -1/2 ], [ -1/2, -1, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2 ], [ 1/2, 0, \
0, -1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, -1/2, 0 ], [ -1/2, 0, 0, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 0, 1/2, 0 ], [ -1/2, 1/2, -1, 0, 0, 0,\
 -1/2, -1/2, 0, 0, -1/2, 0, 1/2, 0, 0, -1/2 ], [ 1/2, -1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 0, 0, 1/2 ], [ -1/2, -1, 1/2, 1, 0, 0, 1/2, 1/2, 0, \
0, 1/2, 0, -1, 1/2, 0, 1 ], [ 1/2, 1, -1/2, -1, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1, -1/2, 0, -1 ], [ 1/2, 0, -1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1,\
 0, 1/2, 0 ], [ -1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0, -1/2, 0 ], [ 1/2, -1, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, -1/2, 0, 0, 1/2 ], [ -1/2\
, 1, 0, -1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, 0, 0, -1/2 ], [ -1/2, -1/2, -1, 1, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 0, 1/2, 0 ], [ 1/2, 1/2, 1, \
-1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, -1/2, 0 ], [ 0, -1/2, 3/2, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1/2, 1/2, -1/2, 1 ], [ 0, 1/2, -3/2, 0, 0, 0, -1, -1, 0, \
0, -1, 0, 1/2, -1/2, 1/2, -1 ], [ -1, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 1/2 ], [ 1, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0, \
-1/2 ], [ 1, 1/2, 1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ -1, -1/2, -1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 1, -1/2, -1/2, 0, 0,\
 -1, -1, 0, 0, -1, 0, -1/2, 0, 1/2, -1/2 ], [ 0, -1, 1/2, 1/2, 0, 0, 1, 1, 0, 0, 1, 0, 1/2, 0, -1/2, 1/2 ], [ -1, -1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1/2\
, -1/2, 1 ], [ 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1/2, 1/2, -1 ], [ 1, -1/2, 1, -1/2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1/2, 1/2 ], [ -1, 1/2, -1, \
1/2, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1/2, -1/2 ] ], embR := [ [ 1, 0, 0, 1, -3, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -5, 0, 0, 0 ], [ 0, 1\
, 0, 2, -4, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -6, -1, -1, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, 0, 0 ], [ 0, 0, 0, 3, -5, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embS := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0,\
 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0,\
 -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0,\
 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], generatorsOL10D \
:= [ [ [ -1, -1, -2, -3, -3, -3, -2, -2, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 4, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -4, -2, -4, -7, -6, -5, -4, -4, -3, -2 ], [ 6, 3, 6, 11, 10, 9, 7, 6, 4, 2 ], [ -4, -2, -4, -8, -7, -6, -4, -3, -2, -1 \
], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], [ [ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 2, 2, 2, 2, 1, 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 ], [ -2, -2, -4, -5, -4, -3, -2, -2, -1, 0 ], [ 4, 3, 6, 9, 8, 7, \
5, 4, 2, 0 ], [ -4, -2, -5, -8, -7, -6, -4, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 4, 2, 1 ] ], [ [ 1, 1, 1, 2, 2, 2, 1, 1,\
 1, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 2, 2, 2, 2, 1, 0 ], [ 2, 1, 3, 5, 5, 5, 4, 3, 2, 1 ], [ -6, -4,\
 -8, -13, -12, -11, -9, -8, -5, -2 ], [ 4, 3, 6, 9, 8, 7, 6, 6, 4, 2 ], [ -4, -2, -5, -8, -7, -6, -5, -5, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4,\
 2, 5, 8, 7, 6, 4, 4, 2, 1 ] ] ], interiorpt := [ 667, 419, 853, 1334, 1163, 1039, 791, 667, 419, 186 ], isomto := [ ], m4R := 1760, name := "20A", ogR :=\
 12842119987200, orderOL10D := 24, projR := [ [ -1/2, 1/2, -1, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, 0, 0, 0 ], [ -3/2, 3/2, -1/2, 0, 0, 0, -1, -1, 0, \
0, -1, 0, 3/2, -1/2, 1/2, -1 ], [ -3/2, 1/2, -1/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1, 0, 0, -1/2 ], [ -3, 3/2, -2, 1, 0, 0, -3/2, -3/2, 0, 0, -3/2, \
0, 3/2, 0, 1/2, -1 ], [ -3/2, 1/2, -3/2, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1, 1/2, 0, -1/2 ], [ -2, 3/2, -3/2, 1/2, 0, 0, -3/2, -3/2, 0, 0, -3/2, 0, 2\
, -1/2, 1, -2 ], [ -1/2, 1/2, -1, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0 ], [ -3/2, 1, -1/2, 1/2, 0, 0, -3/2, -3/2, 0, 0, -1, 0, 3/2, -1/2, 1, -3/2\
 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, 0, 1/2, -1/2 ], [ -1, 1/2, 0, 1/2, 0, 0, -1, -1, 0, 0, -1/2, 0, 1, -1/2, 1/2, -1/2 ], [ 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 ], [ -1, 1/2, 0, 1/2, 0, 0, -1, -1, 1, 0, -1, 0, 1, -1/2, 1/2, -1 ], [ -1, 1/2, 0, 1/2, 0, 0, -1, -1, 0, 1, -1\
, 0, 1, -1/2, 1/2, -1 ], [ -1, 1/2, 0, 1/2, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1/2, 1/2, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1/2, 1/2,\
 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 3/2, -1/2, 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 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, -1/2, 1/2, 0, 0 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, -1/2\
, 1/2, -1/2 ], [ -1/2, 0, 0, 1/2, 0, 0, -1/2, -1/2, 0, 0, -1/2, 0, 1/2, -1/2, 1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0, -1/2 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], projS := [ [ 7, 9/2, 9, 14, 25/2, 21/2, 8, 11/2, 3, 3/2 ], [ 11/2, 3, 7, 10, 9, 8, 6, 4, 2, 1 ], [ 10, 6,\
 25/2, 39/2, 35/2, 29/2, 11, 15/2, 4, 2 ], [ 31/2, 19/2, 39/2, 30, 53/2, 45/2, 17, 23/2, 6, 3 ], [ 12, 15/2, 15, 47/2, 41/2, 17, 13, 9, 5, 5/2 ], [ 25/2, \
7, 31/2, 23, 41/2, 35/2, 13, 17/2, 4, 2 ], [ 8, 5, 10, 31/2, 27/2, 11, 8, 11/2, 3, 3/2 ], [ 15/2, 4, 19/2, 27/2, 12, 21/2, 15/2, 9/2, 2, 1 ], [ 3, 2, 4, 1\
1/2, 9/2, 4, 3, 2, 1, 1/2 ], [ 5/2, 1, 3, 4, 7/2, 7/2, 5/2, 3/2, 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 ], [ 1, 0, 1, 1, 1, 3/2, 1, 1/2, 0, 0 ], [ 1, 0, 1, 1, 1, 3/2, 1, 1/2, 0, 0 ], [ 1, 0, 1, 1, 1, 3/2,\
 1, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1/2, 3/2, 3/2, 3/2, 3/2, 1, 1/2, 0, 0 ], [ 1, 1/2, 3/2, 2, 2, 3/2, 1, 1/2, 0, 0 ], [ -1, -1/2, -3/\
2, -2, -2, -3/2, -1, -1/2, 0, 0 ], [ 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0 ], [ 1, 1/2, 3/2, 3/2, 3/2, 3/2, 1, 1/2, 0, 0 ], [ 1, 0, 1, 3/2, 3/2, 3/2, 1, 1/2,\
 0, 0 ], [ 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootsR := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, \
0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1,\
 -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, \
1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 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, 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, 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, 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, -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, 1, -1, 0, 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, 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, 1, -2, 0, 1, 0, 0, 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, 1, 0, -1, 1, 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, 2, -1, -1, 1, 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, 1, -1, -1, 1, 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\
, 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, 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, -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, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], r\
ootstypeR := [ "D4", "D5" ], volindex := 725760, wallrecs := [ rec( GramQ := [ [ -2, -4, -9, -4, -9, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -60, -92,\
 -36, -104, 0, 2, 2, 4, 1, 3, 2, 1, 18, 26, -8, 2 ], [ -9, -92, -168, -60, -184, 2, 7, 9, 12, 5, 15, 12, 3, 28, 38, -10, 8 ], [ -4, -36, -60, -24, -66, 0,\
 2, 2, 4, 1, 3, 2, 1, 10, 14, -4, 2 ], [ -9, -104, -184, -66, -204, 2, 7, 9, 12, 5, 15, 12, 3, 32, 44, -12, 8 ], [ 0, 0, 2, 0, 2, -2, -1, -2, 0, 0, 0, 0, \
0, 0, 0, 0, 0 ], [ 1, 2, 7, 2, 7, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 9, 2, 9, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 4, 12, 4, 12, \
0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 5, 1, 5, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 0, 3, 15, 3, 15, 0, 0, 0, 0, -4, -10, -8, -1, -3, \
-2, -2, -4 ], [ 0, 2, 12, 2, 12, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ 0, 1, 3, 1, 3, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 0, 18, 28, 10, \
32, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 0, 26, 38, 14, 44, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 0, -8, -10, -4, -12, 0, 0, 0, 0, -2,\
 -2, -2, 0, 2, 4, -4, 0 ], [ 0, 2, 8, 2, 8, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 0, 2, 2, 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 ], [ 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, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ], [ -1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 0, 2, 2, -4, 2, -6, 16, -8, 6, 2, 1, 1, 2, -5, 3, -2, 5, -1, -7, 6, 2, 6, 7, 10, 8, -1 ],\
 embQ := [ [ 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, 2, -1, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 4, -1, -1, 0 ], [ 0, 0, 1, 0, 3, -2, -3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0 ], [ 0, 0, 0, 1, 1, -1, -2, 0, -1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 4, -2, -3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 4, -4, 2, -1, 0, 0, 0, -1, 1, 0, 0, -2, 0, -1, -3, 1, -1, -1, -3, -1, 4\
 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1\
, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 0,\
 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 2, 1, 2, 3, 2, 1, 0, 0, 0, 0 ], rlifts := [ [ -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 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0\
, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, \
-1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,\
 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1\
, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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 ], [ 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, -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, -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, -1, 1, 0, -1, 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 ], [ -1, 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, 0, 0, 0, 1, 0, -1, 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 ], [ 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0, 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, 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, -\
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, -2, 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, 1, 1, -1, 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 ], [ -1, 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, 0, 0, 0, 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, 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 ], [ 1, 0, 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 ], [ 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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 := [ "D5", "D5" ], 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, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 0, 0, 0, 2, 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, 1, 0, 0, 0, 0, 1, -1, -2, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ -2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 1, -1, -3, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ -2, 0, 0, 0, 1, 0, 2\
, 0, 0, 0, 0, 0, 0, -1, 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, -2, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ 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, -1, 0, -1, 1, 1, 1, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, \
1, 1, 1, 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, 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, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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 := [ [ -136, -66, -120, -1\
72, -136, 2, 4, 6, 6, 5, 15, 12, 3, 28, 36, -8, 8 ], [ -66, -40, -57, -87, -67, 0, 0, 0, 0, 1, 3, 2, 1, 16, 22, -6, 2 ], [ -120, -57, -108, -152, -121, 2,\
 4, 6, 6, 5, 15, 12, 3, 25, 32, -7, 8 ], [ -172, -87, -152, -220, -173, 2, 4, 6, 6, 6, 18, 14, 4, 37, 48, -11, 10 ], [ -136, -67, -121, -173, -138, 2, 4, \
6, 6, 5, 15, 12, 3, 29, 38, -9, 8 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 5, 1, 5, 6, 5, 0, 0, 0, 0, -4, -4, \
-4, 0, -1, -2, -2, 0 ], [ 15, 3, 15, 18, 15, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 12, 2, 12, 14, 12, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2\
 ], [ 3, 1, 3, 4, 3, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 28, 16, 25, 37, 29, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 36, 22, 32, 48, 38, 0\
, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -8, -6, -7, -11, -9, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ 8, 2, 8, 10, 8, 0, 0, 0, 0, 0, -4, -2, -2, \
-2, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, 4, 0, 0, -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 ], [ 4, 0, 0, 2, -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, 0, 4, 0, 2, -8, 4 ], [ 2, 0, 0, 0, -2\
, 0, 0, 4, -4 ] ], Sigma := [ [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -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, 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, -1, 1, 1, 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, 0, 0 ], [ -1, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 8, 2, 2, -5, 3, -5, 8, -10, 7, 4, 1, 1, 2, -1, 3, -2, 5, -1, -8, 6, 2, 6, 8, 10, 8, -1 ], embQ := [\
 [ 1, 0, 0, 0, 0, -2, 0, 4, -3, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 2, -1, -1, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 3, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 5, -4, -5, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, 1, -4, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 2, 0, 1, 2, 4 ], [ 0, -2, 1,\
 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1\
, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -3, 4, 0, 0, -1, -1, 0, 0, -3,\
 0, 0, 0, 2, -2, 0, -3, -1, -2 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, \
0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 4, -4, 0, 0, 0, -1, 0, 0, 4, 0, 0, 2, -2, 2, 0, 4, 2, 1 ], [ 0, 1, 0, \
0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ] ], r := [ 2, 1, 2, 3, 2, 2, 2, 2, 1, 0 ], rlifts := [ [ 1, 0, 0, -1, 0, 1, 0\
, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ] ], roots\
Q := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -\
2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], \
[ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 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, 0, 1, 0\
, 0, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], theg := [ [ -1, -1, -2, -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, 0 ], [ 2, 1, 2, 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, 0 ], [ -2, -1, -2, -3, -2, -2, -2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 2, 1, 2, 3, 2, 2, 2, 2, 1, 1 ] ], thegtilde := [ [ 2, 0, 0, -2, 1\
, 2, 0, -3, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 1, 0, -1, 0, 1, 0, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, 0, -2, 1, 1, 1, 1, 1, 1, 1 \
], [ 2, 0, 1, -3, 1, 3, 0, -4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0 ], [ 3, 0, 0, -3, 1, 4, 0, -5, 4, 5, 0, 0, -1, -1, 0, 0, -1, 0, -5, 1\
, 1, 1, 2, 1, 1, 1 ], [ 2, 0, 0, -3, 2, 3, 0, -4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0 ], [ 1, 0, 0, -2, 1, 3, 0, -3, 2, 3, 0, 0, -1, -1,\
 0, 0, -1, 0, -3, 1, 1, 1, 2, 1, 1, 1 ], [ 1, 0, 0, -2, 1, 2, 1, -3, 2, 3, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, -1, 1, 1, 0, -1,\
 1, 2, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 2, 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, 0, 0, 0 ], [ -1, 0, 0, 1\
, 0, -1, 0, 1, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, -1, 0, 0,\
 0, -1, 2, 2, 2, 2, 2, 2, 1 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 2, 2, 2, 2, 2, 2, 3 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, -1,\
 0, 0, 0, 0, 0, 0, -1, 0, -1, 2, 2, 2, 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, 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, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ -1, \
0, 0, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0,\
 0, 0, 0 ], [ 2, 0, 0, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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 := [ [ -72, -18, -52, -80, -44, 2, 4, 6, 6, 1, 3, 4, -1, -12, -16, 4, 0 ], [ -18, -8, -11, -21, -9, 0, 0\
, 0, 0, -1, -3, -2, -1, -4, -4, 0, -2 ], [ -52, -11, -42, -58, -37, 2, 4, 6, 6, 2, 6, 6, 0, -5, -7, 2, 2 ], [ -80, -21, -58, -90, -49, 2, 4, 6, 6, 1, 3, 4\
, -1, -13, -17, 4, 0 ], [ -44, -9, -37, -49, -36, 2, 4, 6, 6, 2, 6, 6, 0, -1, -1, 0, 2 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0\
, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 1, -1, 2, 1, 2, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 3, -3, 6, 3, 6, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 4, -2, 6,\
 4, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -12, -4, -5, -13, -1, 0, 0, 0, 0, -1, \
-3, -2, -1, -8, -10, 2, -2 ], [ -16, -4, -7, -17, -1, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 4, 0, 2, 4, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0\
 ], [ 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 6, 0, -4, 0, 2, 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, -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, 0 ], [ 2, 0, 0, -2, 0, 2, 0, 0, -4 ] ], Sigma := [ [ 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, 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, 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, -1, 1, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 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, 0, 0 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ 9, 0, 3, -5, 2, -5, 8, -8, 5, 2, 1, 1, 3, 0, 3, -\
2, 6, -1, -7, 6, 2, 8, 9, 9, 9, 0 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -5, 4, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0\
, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -1, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3, 3, 0, 0 ], [ 0, \
0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, 5, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, \
3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, 0, 1, -1, 0, 1, 0, 2, -3, 2, 0, 0, 0, 0, 0, 0, -\
2, 0, -2, -2, 3, 0, 1, -2, 1, 1 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 0, -1, 0, 1, 0, 0, -2, 3, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, -3, 0, -1, 2, -2, 0 ], [ -1, 0, 1, 1\
, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, 0, 0, -1, 1, -3, 2, 2, -3, 2, 0, 0, 2, 1, 0, 0, 0, 0, -1, 0, 2, 2, 3, 0\
, 2, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2\
, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 2, 1, 2, 3, 3, 3, 2, 1, 0, \
0 ], rlifts := [ [ 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1\
, 0, 0, 0, 0, 1, 1, 0, 1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1\
, -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, 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, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 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, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], [ 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, -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, 1, 0, 0, 0, -1 ], [ 0, 0, 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, 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, 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, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 2, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], theg := [ [ -1, -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 ], [ 2, 1, 2, 4, 3, 3, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -2, -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 ], [ 2, 1, 2, 3, 3, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1 ] ], thegtilde := [ [ 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0 ], [ -1, 5, -2, 1, 0, -1, 0, 0, 1, 0, 0, 0, -3, -\
3, 0, 0, -3, 0, -1, 1, 1, -2, -2, 2, -1, -1 ], [ -1, 2, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -2, -2, 1, -1, -1 ], [ -2, 4, -2, 3, \
0, -2, 0, 0, 2, 0, 0, 0, -3, -3, 0, 0, -3, 0, -1, 1, 1, -3, -3, 3, -1, -1 ], [ -1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1,\
 0, 0 ], [ -2, 8, -4, 2, 0, -1, 0, 0, 2, 0, 0, 0, -5, -5, 0, 0, -5, 0, -1, 1, 1, -5, -5, 3, -3, -3 ], [ -1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0,\
 0, 0, 0, 0, 0, -1, -1, 1, 0, 0 ], [ -1, 8, -4, 1, 0, -1, 0, 1, 1, 0, 0, 0, -4, -4, 0, 0, -5, 0, -1, 1, 1, -4, -4, 2, -3, -3 ], [ 0, 2, -1, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, -1, -1 ], [ 0, 6, -3, 0, 0, 0, 0, 0, 0, 1, 0, 0, -3, -3, 0, 0, -4, 0, -1, 1, 1, -2, -2, 1, -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, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -1, 0, -3, 0, -2, 2, 2, -1, -1, 2, -1, -2 ], [ 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -3, -3, 0, -1, -3, 0, -2, 2, 2, -1, -1, 2, -1, 0 ], [ 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, -4, 0, -2, 2, 2, -1, -1, 2, -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, 1 ], [ 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 1, 0, 0, -2, -2, 0, \
-2, -2 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, -1, -1 ], [ 1, 0, 0, -1, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 2, -1, 1, 0, -1, 0, 0, 1, 0, 0, 0, \
-1, -1, 0, 0, -1, 0, 0, 0, 0, -2, -1, 1, -1, -1 ], [ 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, -2, 1, -2, -2 ], [ 0, 2, -1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 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\
 ] ] ), rec( GramQ := [ [ -140, -126, -75, -205, -73, 2, 0, 2, -2, 18, 18, 24, -6, -4, 2, 12, -6 ], [ -126, -136, -55, -195, -51, 0, -4, -4, -8, 15, 9, 16\
, -7, -8, -2, 12, -10 ], [ -75, -55, -52, -105, -54, 2, 2, 4, 2, 11, 15, 17, -2, 5, 10, 4, 0 ], [ -205, -195, -105, -306, -101, 2, -2, 0, -6, 26, 24, 33, \
-9, -7, 2, 18, -10 ], [ -73, -51, -54, -101, -60, 2, 2, 4, 2, 11, 15, 17, -2, 9, 16, 2, 0 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, -4, 2, -2, 2, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -4, 4, 0, 4, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -8, 2, -6, 2, 0, -2, -2, -4, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 18, 15, 11, 26, 11, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 18, 9, 15, 24, 15, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -\
4 ], [ 24, 16, 17, 33, 17, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -6, -7, -2, -9, -2, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -4, -8, 5, -7, 9\
, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 2, -2, 10, 2, 16, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 12, 12, 4, 18, 2, 0, 0, 0, 0, -2, -2, -\
2, 0, 2, 4, -4, 0 ], [ -6, -10, 0, -10, 0, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 8, 0, -4, 2, -2, 0 ], [ 0, -4, 2, 0, 0\
, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 8, 0, 2, -8, 2, 4, -2, 2, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 0, 4, 2, -8, 4, -2, 0 ], [ 2, 0,\
 0, -2, 0, 4, -4, 2, 0 ], [ -2, 0, 0, 2, 0, -2, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 2, 0, 1, -1, -1, 0, 0, 1, 0, -1, 1, 2, 1, -2, 1\
, 1, -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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 28, 2, 12, -14, 2, -16, 28, -28, 16, 2, 1, 1, 12, -1, 3, -2, 25, -1, -27, 16,\
 12, 26, 27, 30, 38, -6 ], embQ := [ [ 1, 0, 0, 1, 1, -3, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 8, 10, 0 ], [ 0, 1, 0, 2, 0, -3, 4, -4, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 7, 9, 0 ], [ 0, 0, 1, 0, 1, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 4, 5, 0 ], [ 0, 0, 0, 3, 1, -\
5, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 12, 15, 0 ], [ 0, 0, 0, 0, 2, -2, 2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 4, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -2, -2, 2, -2, 0, 4, -2, 4, -4, 0, 0, 0, 0, 1, 0, 0, -2, 0, -2,\
 -4, 3, 1, 1, -4, 1, 5 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 2, -4, 3, 0, 0, 0, 0, -1, 0, 0, 2, 0, 1, 2, -2, 0, 0, 3, -1, -2 ], [ -1, 0, 1, 1, -2, 1,\
 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 0, 4, -3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -1, 1, 2, 2, -1, 1, 0\
 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1\
, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 8, 5, 10, 15, 14, 13, 10, 9, 6,\
 3 ], rlifts := [ [ 2, 0, 1, -1, 0, -1, 2, -2, 1, 0, 0, 0, 1, 0, -1, 1, 2, 1, -2, 1, 1, 2, 2, 2, 3, -2 ] ], rootsQ := [ [ 2, 0, 1, -1, -1, 0, 0, 1, 0, -1,\
 1, 2, 1, -2, 1, 1, -2 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 1, -1, -2, -1, 2, -1, -1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1,\
 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, -1, 1, -2, 1, 2, -1, -1, -1 ], [ 2, 0, 1\
, -1, -1, 0, 0, 1, 0, 1, -1, 2, -1, -2, 1, 1, 1 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 2, 0, -1, 0, 0, -1 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0\
, 1, 0, 0, 1 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, -1, 3, 0, -2, 1, 1, 0 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 0, 1, -3, 0, 2, -1, -1, 0 ], [ 2, 0, 1, -1, -1,\
 0, 0, 1, 0, 0, 0, 2, 0, -2, 1, 1, 0 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, -2, 0, 2, -1, -1, 0 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 2, -1, -2, 1, 1,\
 0 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, -2, 1, 2, -1, -1, 0 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 2, 1, -2, 1, 1, -1 ], [ -2, 0, -1, 1, 1, 0, 0, -1,\
 0, 0, 0, -2, -1, 2, -1, -1, 1 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 2, 0, -2, 1, 1, -1 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, -2, 0, 2, -1, -1, 1 ], \
[ 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, -2, 1, 1, -1 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 2, -1, -1, 1 ], [ 2, 0, 1, -1, -1, 0, 0, 1, 0, -1\
, 0, 2, 0, -3, 2, 2, 0 ], [ -2, 0, -1, 1, 1, 0, 0, -1, 0, 1, 0, -2, 0, 3, -2, -2, 0 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1\
, 1, 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,\
 -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, \
0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D4", "D6" ], theg := [ [ -7, -5, -10, -15, -14, -13, -10, -9, -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, 18, 12, 6 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -16, -10, -20, -30, -28, -25, -20, -1\
8, -12, -6 ], [ 16, 10, 20, 30, 28, 26, 21, 18, 12, 6 ], [ -16, -10, -20, -30, -28, -26, -20, -17, -12, -6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 21, 0, 10, -10, 0, -10, 20, -20, 10, 0, 0, 0, 10, 0, 0, 0, 20, 0, -20, 10, 10, 20, 20, 20, 30, -6 ], [ 10, 1, 5\
, -5, 0, -5, 10, -10, 5, 0, 0, 0, 4, -1, 0, 0, 9, 0, -11, 6, 6, 11, 11, 11, 16, -3 ], [ 28, 0, 15, -14, 0, -14, 28, -28, 14, 0, 0, 0, 14, 0, 0, 0, 28, 0, \
-28, 14, 14, 28, 28, 28, 42, -7 ], [ 42, 0, 21, -20, 0, -21, 42, -42, 21, 0, 0, 0, 20, -1, 0, 0, 41, 0, -43, 22, 22, 43, 43, 43, 64, -11 ], [ 36, 0, 18, -\
18, 1, -18, 36, -36, 18, 0, 0, 0, 18, 0, 0, 0, 36, 0, -36, 18, 18, 36, 36, 36, 54, -9 ], [ 30, 0, 15, -15, 0, -14, 30, -30, 15, 0, 0, 0, 14, -1, 0, 0, 29,\
 0, -31, 16, 16, 31, 31, 31, 46, -7 ], [ 24, 0, 12, -12, 0, -12, 25, -24, 12, 0, 0, 0, 12, -1, 0, 0, 24, 0, -24, 12, 12, 24, 24, 24, 36, -7 ], [ 18, 0, 9,\
 -9, 0, -9, 18, -17, 9, 0, 0, 0, 9, 0, 0, 0, 17, 0, -19, 10, 10, 19, 19, 19, 28, -4 ], [ 8, 0, 4, -4, 0, -4, 8, -8, 5, 0, 0, 0, 4, 0, 0, 0, 8, 0, -8, 4, 4\
, 8, 8, 8, 12, -2 ], [ 2, 0, 1, -1, 0, -1, 2, -2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, -3, 2, 2, 3, 3, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -2, 2, 0, 2, \
-4, 4, -2, 0, 0, 0, -2, 0, -1, 0, -4, 0, 2, 0, 0, -2, -2, -2, -4, 2 ], [ -4, 0, -2, 2, 0, 2, -4, 4, -2, 0, 0, 0, -2, 0, 0, -1, -4, 0, 2, 0, 0, -2, -2, -2,\
 -4, 2 ], [ -4, 0, -2, 2, 0, 2, -4, 4, -2, 0, 0, 0, -2, 0, 0, 0, -5, 0, 2, 0, 0, -2, -2, -2, -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, -1 ], [ 4, 0, 2, -2, 0, -2, 4, -4, 2, 0, 0, 0,\
 2, 0, 0, 0, 4, 0, -4, 3, 2, 4, 4, 4, 6, -1 ], [ -4, 0, -2, 2, 0, 2, -4, 4, -2, 0, 0, 0, -2, 0, 0, 0, -4, 0, 4, -2, -1, -4, -4, -4, -6, 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 ], [ -4, 0, -2, 2, 0, 2, -4, 4, -2, 0, 0, 0, -2, 0, 0, 0, -4, 0, 4, -2, -2, -4\
, -4, -4, -5, 1 ], [ 0, 0, 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, -41, -117, -172, -105, 0\
, -2, -2, -4, 7, 5, 8, -3, -20, -28, 16, -4 ], [ -41, -24, -44, -72, -40, -1, -3, -4, -5, 2, -2, 0, -2, -8, -10, 6, -4 ], [ -117, -44, -152, -210, -140, 1\
, -1, 0, -3, 13, 15, 18, -3, -18, -26, 20, -2 ], [ -172, -72, -210, -304, -192, 0, -4, -4, -8, 15, 13, 18, -5, -30, -42, 28, -6 ], [ -105, -40, -140, -192\
, -132, 1, -1, 0, -3, 13, 15, 18, -3, -14, -20, 18, -2 ], [ 0, -1, 1, 0, 1, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -3, -1, -4, -1, -1, -2, -2, -2,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -4, 0, -4, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -5, -3, -8, -3, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
7, 2, 13, 15, 13, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 5, -2, 15, 13, 15, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 8, 0, 18, 18, 18, 0, 0\
, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -3, -2, -3, -5, -3, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -20, -8, -18, -30, -14, 0, 0, 0, 0, -1, -3, -2,\
 -1, -8, -10, 2, -2 ], [ -28, -10, -26, -42, -20, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 16, 6, 20, 28, 18, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0\
 ], [ -4, -4, -2, -6, -2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 8, 2, 0, -4, 2, -2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ \
8, 2, -20, 2, 0, 8, -4, 4, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 8, 0, 2, -8, 4, -2, 0 ], [ 2, 0, -4, 0, 0, 4, -4,\
 2, 0 ], [ -2, 0, 4, 0, 0, -2, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1\
, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 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, 0, 0 ] ], adjweyl := [ 16, 2, 10, -12, 2, -6, 16, -16, 6, 2, 1, 1, 6, -1, 3, -2, 13, -1, -15, 6, 10, 14, 15, 18, 16, -1 \
], embQ := [ [ 1, 0, 0, 0, 0, 0, 2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, -3, 4, 6, 0 ], [ 0, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, -1, 1, 2, 0 ], [ 0, 0, 1, 0, 1, -1, 3, -3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -2, 6, 9, 0 ], [ 0, 0, 0, 1, 1, -1, 4, -4, -3, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -4, 8, 12, 0 ], [ 0, 0, 0, 0, 2, -1, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -1, 6, 9, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, -2, 4, -3, 0, 0, 0, 0, 1, 0, 0, -2, 0, -1, -3, 2, 0, 0, -3, 0\
, 3 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 4, -8, 5, 0, 0, 0, 0, -2, 0, 0, 4, 0, -\
1, 5, -3, 2, 2, 5, 3, -2 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0,\
 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 0, 4, -3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -1, 1, 2, 2, -1, 1, 0 ], [ 0, 0, 0, 0\
, 0, 2, -2, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, \
-1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 6, 3, 6, 11, 10, 9, 7, 6, 4, 2 ], rlifts := [ [\
 1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 1, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, \
0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 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, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 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, 1, -1, 1, 0, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1\
, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -\
1, 1, 1, 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, -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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, 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 ], [ 1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, -1, \
1, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0 ],\
 [ 1, 0, 1, -1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0\
, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1\
, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, \
-1, 0 ], [ 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0 ], [ 1, 0, 1, -1, 0, -1, 1, 1, -\
1, 0, 0, 1, 0, -1, 0, 1, 0 ], [ -1, 0, -1, 1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 1, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, \
-2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D5", "D5" ], theg := [ [ -5, -3, -6, -11, -10, -9, -7, -6, -4, -2 ], [ 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0 ], [ 12, 6, 13, 22, 20, 18, 14, 12, 8, 4 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -3, -6, -11, -10\
, -8, -7, -6, -4, -2 ], [ 6, 3, 6, 11, 10, 9, 8, 6, 4, 2 ], [ -6, -3, -6, -11, -10, -9, -7, -5, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 7, 0, 6, -6, 0, 0, 6, -6, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, -6, 0, 6, 6, 6, 6, 6, 0 ], [ 5, 1, 5, -5, 0, 0, 5, -5, 0, 0\
, 0, 1, 1, -1, 0, 0, 4, 0, -6, 1, 6, 6, 6, 6, 6, 1 ], [ 8, 0, 9, -8, 0, 0, 8, -8, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, -8, 0, 8, 8, 8, 8, 8, 0 ], [ 13, 0, 13, -1\
2, 0, 0, 13, -13, 0, 0, 0, 1, 5, -1, 0, 0, 12, 0, -14, 1, 14, 14, 14, 14, 14, 1 ], [ 10, 0, 10, -10, 1, 0, 10, -10, 0, 0, 0, 0, 5, 0, 0, 0, 10, 0, -10, 0,\
 10, 10, 10, 10, 10, 0 ], [ 11, 0, 11, -11, 0, 1, 11, -11, 0, 0, 0, 1, 4, -1, 0, 0, 10, 0, -12, 1, 12, 12, 12, 12, 12, 1 ], [ 7, 0, 7, -7, 0, 0, 8, -7, 0,\
 0, 0, 1, 3, -1, 0, 0, 7, 0, -7, 0, 7, 7, 7, 7, 7, 0 ], [ 8, 0, 8, -8, 0, 0, 8, -7, 0, 0, 0, 0, 4, 0, 0, 0, 7, 0, -9, 1, 9, 9, 9, 9, 9, 1 ], [ 4, 0, 4, -4\
, 0, 0, 4, -4, 1, 0, 0, 0, 2, 0, 0, 0, 4, 0, -4, 0, 4, 4, 4, 4, 4, 0 ], [ 2, 0, 2, -2, 0, 0, 2, -2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, -3, 1, 3, 3, 3, 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, 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, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 2, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 2, 2, 2, 2, 0 ], [ 2, 0, 2, -2,\
 0, 0, 2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -2, 1, 2, 2, 2, 2, 2, 0 ], [ -2, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 2, 0, -1, -2, -2, -2, \
-2, 0 ], [ -2, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 2, 0, -2, -1, -2, -2, -2, 0 ], [ 2, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 2\
, 0, -2, 0, 2, 2, 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, 0, 1, 0, 0 ], [ 2, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, \
1, 0, 0, 0, 2, 0, -2, 0, 2, 2, 2, 2, 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, 0, 1 ] ] ), rec( GramQ := [ [ -52, \
-74, -21, -87, 27, -2, -4, -6, -6, -2, -10, -8, -2, 8, 14, -4, -6 ], [ -74, -120, -19, -131, 23, -4, -8, -12, -12, -5, -19, -16, -3, 4, 10, -4, -10 ], [ -\
21, -19, -20, -31, 26, 0, 0, 0, 0, 1, 1, 1, 0, 11, 16, -4, 0 ], [ -87, -131, -31, -150, 39, -4, -8, -12, -12, -4, -18, -15, -3, 11, 20, -6, -10 ], [ 27, 2\
3, 26, 39, -36, 0, 0, 0, 0, -1, -1, -1, 0, -15, -22, 6, 0 ], [ -2, -4, 0, -4, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -8, 0, -8, 0, -1, -2, -2, \
-2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0, -12, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0, -12, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ -2, -5, 1, -4, -1, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ -10, -19, 1, -18, -1, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ -8, -16, 1, -\
15, -1, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -2, -3, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 8, 4, 11, 11, -15, 0, 0, 0, 0, -1, -3\
, -2, -1, -8, -10, 2, -2 ], [ 14, 10, 16, 20, -22, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -4, -4, -4, -6, 6, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, \
0 ], [ -6, -10, 0, -10, 0, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -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, -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, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0, -1 ], [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 8, 12, 2, -14, 12, -6, 8, -8, 6, 2, 1, 1, 2, -1, 3, -2, 5, -1, -17, 6, 2, 6, 7, 20, 8, 4 ], embQ := [ \
[ 1, 0, 0, 1, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -4, -2, 0 ], [ 0, 1, 0, 2, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2\
, 0, -5, -3, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 0 ], [ 0, 0, 0, 3, -5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -2, 1, -6, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 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, 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, -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 ] ], embQperp := [ [ -2, -4, 3, -1, -2, 5, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3, 3, 2, 2, -4, 2, 4 ], [ 0, 1, -1,\
 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, \
-2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0,\
 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, \
0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, 1, 0, -1, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0, -1 ], [ 0, -1, 0, 1, 0, 0, 0, \
0, 0, 1, -1, 0, -1, 1, 0, 0, 1 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, -2 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0\
, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, \
0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0 ], [ 0, -1\
, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, -1, -1, -1 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, \
-1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0,\
 0, 0, 1 ], [ 0, 0, 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, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 1 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, -1 ], [ 0, 1, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0\
, 1 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1 ], [ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0 ], [ 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, \
1, -1, 0, -1, 0, 0, 0 ], [ 0, -1, 0, 1, 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, -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, 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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ]\
, [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D4", "D6" ], 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, 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, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 1 ], [ 0, 2, 0, -1, 1, 0, 0, 0, 0, \
0, 0, 0, -1, -1, 0, 0, -1, 0, -2, 1, 1, 1, 1, 2, 1, 0 ], [ 0, 4, 1, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 2 ], [ 0, 7, 0, -6\
, 7, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -8, 1, 1, 1, 1, 8, 1, 3 ], [ 0, 6, 0, -6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 6, 0, 3\
 ], [ 0, 3, 0, -3, 3, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -4, 1, 1, 1, 1, 4, 1, 2 ], [ 0, 4, 0, -4, 4, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -4, 0\
, 0, 0, 0, 4, 0, 1 ], [ 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 1, 2, 1, 1 ], [ 0, 2, 0, -2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 1 ], [ 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2\
, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0 ], [ 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 2, 2, 2, 0,\
 2, 0 ], [ 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 2, 2, 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, 0, 0, 0, 0 ], [ 0, 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, 0 ], [ 0, 0, 0, 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, -2, 0, 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 ] ] ), rec( GramQ := [ [ -136, -46, -100, -160, -84, 2, 4, 6, 6, 1, 3, 4, -1, -20, -24, \
4, 0 ], [ -46, -20, -32, -56, -26, 0, 0, 0, 0, -1, -3, -2, -1, -8, -8, 0, -2 ], [ -100, -32, -78, -118, -67, 2, 4, 6, 6, 2, 6, 6, 0, -11, -13, 2, 2 ], [ -\
160, -56, -118, -190, -99, 2, 4, 6, 6, 1, 3, 4, -1, -23, -27, 4, 0 ], [ -84, -26, -67, -99, -60, 2, 4, 6, 6, 2, 6, 6, 0, -7, -7, 0, 2 ], [ 2, 0, 2, 2, 2, \
-2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 2, 1, 2, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 3, -3, 6, 3, 6, 0, 0, 0, 0,\
 -4, -10, -8, -1, -3, -2, -2, -4 ], [ 4, -2, 6, 4, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0,\
 -2 ], [ -20, -8, -11, -23, -7, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -24, -8, -13, -27, -7, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 4, 0\
, 2, 4, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 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, 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, 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, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 1, -2, 0, 0, -1, -1, 0, 0, -1, 0, 1, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0\
, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 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, 0, 0 ] ], adjweyl := [ \
8, 0, 3, -3, 0, -5, 8, -8, 6, 2, 1, 1, 2, -1, 3, -2, 5, -1, -6, 5, 3, 6, 7, 8, 8, -1 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -3, -5, 8, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 3, -1, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -3, 6, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, 10, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0\
, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ \
-1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, 0, -1, 1, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1\
, 0, 0, 0, 2, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -\
1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4\
, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], \
[ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -\
1, 1, -1, 2, 1, 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, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1, 1\
 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, -1, 1, -1, -1, -1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1\
, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -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, 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, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 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, 1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], [ 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, -1, 2, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1 ], [ 0, 0, 0, 1, -2, 0, 0, -1, -1, 0, 0, -1, 0, 1, -1, 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, -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, 1, 0, 0, 0, -1 ], [ 0, 0, 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, 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, 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, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 2, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, \
0, 0, -1 ], [ 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", \
"A1", "D4", "D5" ], 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, 0 ], [ 0, -5, 3, -1, 2, -1, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, -2, 2, 0, 5, 5, -1, 5, 5 ], [ 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0,\
 0, 0, 1, 1, -1, 1, 1 ], [ 0, -4, 2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, 2, 0, 4, 4, 0, 4, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -8, 4, -1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, -2, 2, 0, 6, 6, -2, 6, 6 ], [ 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, -8, 4, -1, 2, -1, 0, 1, 0, 0, 0, 0, 5, 5, 0, 0, 4, 0, -2, 2, 0, 6, 6, -2, 6, 6 ], [ 0, -2, 1, -1\
, 2, -1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, -1, 1, -1, 2, 2, 0, 2, 2 ], [ 0, -6, 3, -1, 2, -1, 0, 0, 0, 1, 0, 0, 4, 4, 0, 0, 3, 0, -2, 2, 0, 5, 5, -1, 5,\
 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -6, 3, -1, 2, -1, 0, 0, 0, 0, 0, 0, 4, 4, -1, 0, 4, 0, -3, 3, 1, 6, 6, 0, 6, 5 ], [ 0, -6, 3, -1, 2, -1, 0, 0, 0, 0, 0,\
 0, 4, 4, 0, -1, 4, 0, -3, 3, 1, 6, 6, 0, 6, 7 ], [ 0, -6, 3, -1, 2, -1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 3, 0, -3, 3, 1, 6, 6, 0, 6, 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, 1 ], [ 0, -4, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 1, -1, 3, 3, -1, 3, 3 ], [ \
0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, -1, 1, 1 ], [ 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1\
, 1, 1, 1 ], [ 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 2, 1, 1, 1, 1 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0\
, 0, 0, 0, 1, 2, -1, 1, 1 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, -1, 2, 2 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 1, 0, 0, 1, 0, 0, 0, 0, 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, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -232, -\
286, -68, -368, 52, -2, -4, -6, -6, -10, -34, -28, -6, -32, -38, 8, -18 ], [ -286, -364, -82, -460, 64, -4, -8, -12, -12, -13, -43, -36, -7, -36, -42, 8, \
-22 ], [ -68, -82, -22, -107, 17, 0, 0, 0, 0, -3, -11, -9, -2, -9, -10, 2, -6 ], [ -368, -460, -107, -588, 82, -4, -8, -12, -12, -16, -54, -45, -9, -49, -\
58, 12, -28 ], [ 52, 64, 17, 82, -16, 0, 0, 0, 0, 3, 11, 9, 2, 5, 4, 0, 6 ], [ -2, -4, 0, -4, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -8, 0, -8,\
 0, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0, -12, 0, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -6, -12, 0, -12, 0, 0, -2, -2, -4, 0, 0, 0\
, 0, 0, 0, 0, 0 ], [ -10, -13, -3, -16, 3, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ -34, -43, -11, -54, 11, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, \
-4 ], [ -28, -36, -9, -45, 9, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -6, -7, -2, -9, 2, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -32, -36, -9, \
-49, 5, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -38, -42, -10, -58, 4, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 8, 8, 2, 12, 0, 0, 0, 0, 0, \
-2, -2, -2, 0, 2, 4, -4, 0 ], [ -18, -22, -6, -28, 6, 0, 0, 0, 0, 0, -4, -2, -2, -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, -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, 0, 1, -1, 0, -2, 0, \
0, 0, 2 ], [ 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 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, 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, 0, 0 ] ], adjweyl := [ 8, 2, 2, -4, 2, -6, 8, \
-8, 8, -2, 1, 1, 2, -1, 3, -2, 7, -1, -7, 6, 1, 7, 6, 12, 9, 1 ], embQ := [ [ 1, 0, 0, 1, -3, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -5, -4, \
-2, 0 ], [ 0, 1, 0, 2, -4, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, -5, -3, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, -1, -2, -1, 0 ], [ 0, 0, 0, 3, -5, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -8, -6, -3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, \
2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ],\
 [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0,\
 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0\
, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 2, 0, 0, 0, -2, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 3, -1, -1, 0, 1, 0 \
] ], 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, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1\
, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,\
 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], \
[ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,\
 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -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, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 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, 1, -1, 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, 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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], 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, 0, 0, 0, 0, 0, 0, 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, -1, 0, -1, 1, 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, 0, 1\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 1, 1, 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, -1, -1, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ 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, -1, 0, -1, 1, 1, 1, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 3 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 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, -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, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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 := [ [ -576, -272, -397, -703, -365, 2, 4, 6, 6, -11, -33, -28, -5, -60, -84, 24, -16 ]\
, [ -272, -136, -185, -335, -171, 0, 0, 0, 0, -7, -21, -18, -3, -28, -38, 10, -10 ], [ -397, -185, -276, -484, -253, 2, 4, 6, 6, -7, -21, -18, -3, -41, -5\
8, 17, -10 ], [ -703, -335, -484, -860, -445, 2, 4, 6, 6, -14, -42, -36, -6, -73, -102, 29, -20 ], [ -365, -171, -253, -445, -234, 2, 4, 6, 6, -7, -21, -1\
8, -3, -37, -52, 15, -10 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6\
, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -11, -7, -7, -14, -7, 0, 0, 0, 0, -4, -4, -4\
, 0, -1, -2, -2, 0 ], [ -33, -21, -21, -42, -21, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ -28, -18, -18, -36, -18, 0, 0, 0, 0, -4, -8, -8, 0, -2, \
-2, -2, -2 ], [ -5, -3, -3, -6, -3, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -60, -28, -41, -73, -37, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -\
84, -38, -58, -102, -52, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 24, 10, 17, 29, 15, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -16, -10, -10, -20\
, -10, 0, 0, 0, 0, 0, -4, -2, -2, -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, -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, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 0, 2 ], [ 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ -1, 0, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 8, 3, 2, -4, 2, -7, 8, -6, 4, 4, 1, 1, 2, -1, 3, -2, 3, -1, -8, \
5, 4, 5, 7, 9, 8, -2 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 4, -3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -9, -4, 4, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -3, 1, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 3, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -6, -3, 3, 0 ], [ 0, 0, 0, 1, 0,\
 -3, 0, 5, -4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -11, -5, 5, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -5, -3, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1\
, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1\
 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
 2, 0, 0, 2, 0, 0, -3 ], [ 0, 1, 0, 0, 0, -1, 0, 2, 2, -6, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 1, -2, 3, 2, 3 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], r\
lifts := [ [ -1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 1, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, \
0, 0, -1, 1, -1, 0, -1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1\
, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -\
1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 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, 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, 1, 0, 0,\
 -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], [ -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, \
-1, 0, -1, 0, 1, 0 ], [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1 ], [ -1, -1, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ], \
thegtilde := [ [ 1, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 2, 3, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, -1, -1, 0\
, 0, -3, 0, -1, -1, 3, -1, 1, -1, -1, -1 ], [ 1, 2, 1, -1, 0, -1, 0, 3, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, -1, -2, 3, -2, 0, -2, -1, -2 ], [ 3, 4, 0, -2, 0, \
-1, 0, 5, -5, 5, 0, 0, -1, -1, 0, 0, -6, 0, -2, -3, 6, -3, 1, -3, -2, -3 ], [ 1, 2, 0, -1, 1, -1, 0, 3, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, -1, -2, 3, -2, 0, \
-2, -1, -2 ], [ 3, 4, 0, -3, 0, 0, 0, 5, -5, 5, 0, 0, -1, -1, 0, 0, -6, 0, -2, -3, 6, -3, 1, -3, -2, -3 ], [ 0, 1, 0, 0, 0, -1, 1, 2, -2, 2, 0, 0, 0, -1, \
0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 3, 3, 0, -3, 0, 0, 0, 4, -3, 3, 0, 0, 0, 0, 0, 0, -4, 0, -1, -2, 4, -2, 1, -2, -2, -2 ], [ 1, 1, 0, -1, 0, 0\
, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, -1, -1, -1 ], [ 3, 2, 0, -3, 0, 1, 0, 1, -1, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 2, -1, 1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, -3, 0, 1, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 3, 0, 2, 0, -1, -1 ], [ 3, 2, 0, -3, 0, 1, 0, 1, -1, 1, 0\
, 0, 0, 0, 0, -1, -1, 0, -1, 0, 3, 0, 2, 0, -1, 1 ], [ 3, 2, 0, -3, 0, 1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 3, 0, 2, 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 ], [ 1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, -1, 0, -1, -1, -\
1 ], [ 1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, -1, -1 ], [ 1, 0, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1\
, 0, 0, 0, 0, 0, -1, 0 ], [ 2, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, -2, -1 ], [ -1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, \
0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, 1, 0 ], [ 1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -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, 1, 0 ], [ 0, 0, 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 := [ [ -50, -72, -8, -86, -4, -1, -4, -5, -7, 2, -6, -2, -4, -12, -12, 6, -8 ], [ -72, -118, -10, -134, -12, -3, -8, -11, -13, -1, -15, -10, -5, -16\
, -16, 6, -12 ], [ -8, -10, -4, -16, -6, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, 2, 0 ], [ -86, -134, -16, -162, -24, -3, -8, -11, -13, -1, -15, -10, -5, -24, -28\
, 10, -12 ], [ -4, -12, -6, -24, -30, -1, 0, -1, 1, -6, -6, -8, 2, -10, -18, 2, 2 ], [ -1, -3, 0, -3, -1, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, -\
8, 0, -8, 0, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -5, -11, 0, -11, -1, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -7, -13, 0, -13, 1, 0, -2, -2, -\
4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, -1, -6, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ -6, -15, 0, -15, -6, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -\
2, -4 ], [ -2, -10, 0, -10, -8, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -4, -5, 0, -5, 2, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -12, -16, -4,\
 -24, -10, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -12, -16, -6, -28, -18, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 6, 6, 2, 10, 2, 0, 0, 0,\
 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -8, -12, 0, -12, 2, 0, 0, 0, 0, 0, -4, -2, -2, -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, 1, 0, -1, 0, 1, 0, 0, -1, 0,\
 0, -1, 0, 1 ], [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 8, 2, 2, -4, 2, 2, -8, 0, 6, 2, 1, 1, -2, 3, 3, -2, -3, -1, -7, -2, 2, -\
2, -1, 2, 0, 7 ], embQ := [ [ 1, 0, 0, 1, -3, 0, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 2, 1, 0 ], [ 0, 1, 0, 2, -4, 0, 2, -1, 2, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, -4, 1, 0, 0 ], [ 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 3, -5, 0, 2, -\
1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -6, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, \
1, 1, -1, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -\
1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 0, 4, -3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -1, 1, 2, 2, -1, 1, 0 ], [ 0,\
 0, 0, 0, 0, 2, 0, -6, 4, 0, 0, 0, -1, -1, 0, 0, 2, 0, 0, 2, -2, 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1\
, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], rlifts := \
[ [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, -1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1,\
 0, -1 ], [ 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0,\
 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, \
0, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, 1, 1, -1, 0, 0, 1, 0, 0, 1,\
 0, -1 ], [ 0, 0, 0, 0, 1, 1, -1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, \
1, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, -1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0\
, 0, 0, -1, 0, 1, 0, -1, 0, 0, 1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, \
-1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
-1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D5", "D5" ], 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, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 0, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 1,\
 1, 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, -1, -1, 0, 0, -1, 0\
, -1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 1, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ 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, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 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\
, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
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, 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, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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 := [ [ -136, -110, -88, -194, -90, 4, 4, 8, 4, 16, 16, 22, -6, 6, 18, 4, -6 ], [ -110, -108, -62, -166, -62, 2, 0, 2, -2, 13, 7, 14, -7, 2, \
14, 4, -10 ], [ -88, -62, -66, -122, -70, 3, 4, 7, 5, 10, 14, 16, -2, 10, 18, 0, 0 ], [ -194, -166, -122, -282, -124, 5, 4, 9, 3, 23, 21, 30, -9, 8, 26, 6\
, -10 ], [ -90, -62, -70, -124, -78, 3, 4, 7, 5, 10, 14, 16, -2, 14, 24, -2, 0 ], [ 4, 2, 3, 5, 3, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, \
4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 2, 7, 9, 7, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, -2, 5, 3, 5, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0,\
 0, 0 ], [ 16, 13, 10, 23, 10, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 16, 7, 14, 21, 14, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 22, 14, 1\
6, 30, 16, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -6, -7, -2, -9, -2, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 6, 2, 10, 8, 14, 0, 0, 0, 0, -1,\
 -3, -2, -1, -8, -10, 2, -2 ], [ 18, 14, 18, 26, 24, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 4, 4, 0, 6, -2, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0\
 ], [ -6, -10, 0, -10, 0, 0, 0, 0, 0, 0, -4, -2, -2, -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, -20, 26, -12, 4, 0 ], [ 0, 0, 0, 0, 26, -40, 20, -6, 0 ], [ 0, 0, 0, 0, -12, 20,\
 -12, 4, 0 ], [ 0, 0, 0, 0, 4, -6, 4, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 2, 0, 0, -1, 0, 0, -1, 2, 1, 0, 0, 2, 0, -1, 1, 0, -1 ], [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 24, 2, 2, -12, 10, -22, 24, -16, 14, 2, 1, 1, 14, 3, 3, -2, 21, -1, -15, 14, 2, 22, 23, 26,\
 24, -9 ], embQ := [ [ 1, 0, 0, 1, 1, -5, 4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 8, 6, 0 ], [ 0, 1, 0, 2, 0, -5, 4, -2, 2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 4, 2, 7, 5, 0 ], [ 0, 0, 1, 0, 1, -3, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 3, 0 ], [ 0, 0, 0, 3, 1, -8, 6, -3, 3, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 12, 9, 0 ], [ 0, 0, 0, 0, 2, -3, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2\
 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 4, -8, 3, 0, 0, 0, -1\
, -3, 0, 0, 3, 0, 0, 4, -1, 1, 1, 3, 2, -2 ], [ 2, -1, 0, -1, 1, -2, -4, 12, -7, 0, 0, 0, 2, 4, 0, 0, -4, 0, 0, -5, 3, 0, 0, -5, -1, 2 ], [ 0, 0, 0, 0, 0,\
 2, 0, -6, 4, 0, 0, 0, -1, -1, 0, 0, 2, 0, 0, 2, -2, 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 6, 4, 8, 12, 10, 10, 7, 6, 4, 2 ], rlifts := [ [ 2, 0,\
 0, -1, 1, -2, 2, -1, 1, 0, 0, -1, 2, 1, 0, 0, 2, 0, -1, 1, 0, 2, 2, 2, 2, -1 ] ], rootsQ := [ [ -2, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, -2, 0, 1, -1, 0, 1 ],\
 [ 2, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1, 0, 1, 0, -2, 0, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, -1, 0, 2, 0, 0, 0,\
 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1,\
 0, 1, -1, -2, 0, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, -1, 1, 2, 0, 0, 0, 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, -2, 0, 1, \
-1, 0, 1 ], [ 2, 0, 0, -1, 0, 1, -1, 1, 1, 0, 0, 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, 0, 0,\
 1, 1, 0, 0, 2, 0, -1, 1, 0, -1 ], [ -2, 0, 0, 1, 0, -1, 0, -1, -1, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, 1, 0, 1, 1, 0, 0, 2, 0, -1, 1, 0, -1 ], \
[ -2, 0, 0, 1, 0, 0, 1, -2, -1, 0, 0, -2, 0, 1, -1, 0, 1 ], [ 2, 0, 0, -1, 0, 0, -1, 2, 1, 0, 0, 2, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1,\
 -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, \
0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D5", "D5" ], 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, 12, 8, 4 ], [ -18, -12, -24, -36, -30, -29,\
 -21, -18, -12, -6 ], [ 12, 8, 16, 24, 20, 20, 15, 12, 8, 4 ], [ -6, -4, -8, -12, -10, -10, -7, -5, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 17, 0, 0, -8, 8, -16, 16, -8, 8, 0, 0, 0, 12, 4, 0, 0, 16, 0, -8, 8, 0, 16, 16, 16, 16, -8 ], [ 8, 1, 0, -4, 4,\
 -8, 8, -4, 4, 0, 0, 0, 5, 1, 0, 0, 7, 0, -5, 5, 1, 9, 9, 9, 9, -3 ], [ 24, 0, 1, -12, 12, -24, 24, -12, 12, 0, 0, 0, 18, 6, 0, 0, 24, 0, -12, 12, 0, 24, \
24, 24, 24, -12 ], [ 32, 0, 0, -15, 16, -32, 32, -16, 16, 0, 0, 0, 23, 7, 0, 0, 31, 0, -17, 17, 1, 33, 33, 33, 33, -15 ], [ 28, 0, 0, -14, 15, -28, 28, -1\
4, 14, 0, 0, 0, 21, 7, 0, 0, 28, 0, -14, 14, 0, 28, 28, 28, 28, -14 ], [ 24, 0, 0, -12, 12, -23, 24, -12, 12, 0, 0, 0, 17, 5, 0, 0, 23, 0, -13, 13, 1, 25,\
 25, 25, 25, -11 ], [ 18, 0, 0, -9, 9, -18, 19, -9, 9, 0, 0, 0, 13, 4, 0, 0, 18, 0, -9, 9, 0, 18, 18, 18, 18, -9 ], [ 12, 0, 0, -6, 6, -12, 12, -5, 6, 0, \
0, 0, 9, 3, 0, 0, 11, 0, -7, 7, 1, 13, 13, 13, 13, -5 ], [ 4, 0, 0, -2, 2, -4, 4, -2, 3, 0, 0, 0, 3, 1, 0, 0, 4, 0, -2, 2, 0, 4, 4, 4, 4, -2 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 1 ], [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -4, 0, 0, 2, -2, 4, -4, 2, -2, 0, 0, 0, -3, -1, -1, 0\
, -4, 0, 0, 0, 2, -2, -2, -2, -2, 3 ], [ -4, 0, 0, 2, -2, 4, -4, 2, -2, 0, 0, 0, -3, -1, 0, -1, -4, 0, 0, 0, 2, -2, -2, -2, -2, 5 ], [ -4, 0, 0, 2, -2, 4,\
 -4, 2, -2, 0, 0, 0, -3, -1, 0, 0, -5, 0, 0, 0, 2, -2, -2, -2, -2, 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, 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 ], [ 4, 0, 0, -2, 2, -4, 4, -2, 2, 0, 0, 0, 3, 1, 0, 0, 4, 0, -2, 3, 0, 4,\
 4, 4, 4, -2 ], [ -4, 0, 0, 2, -2, 4, -4, 2, -2, 0, 0, 0, -3, -1, 0, 0, -4, 0, 2, -2, 1, -4, -4, -4, -4, 2 ], [ -4, 0, 0, 2, -2, 4, -4, 2, -2, 0, 0, 0, -3\
, -1, 0, 0, -4, 0, 2, -2, 0, -3, -4, -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 ] ] ), rec( GramQ := [ [ -72, -22, -56, -84, -44, 2, 4, 6, 6, 1, 3, 4, -1, -12, -16, 4,\
 0 ], [ -22, -12, -16, -28, -12, 0, 0, 0, 0, -1, -3, -2, -1, -4, -4, 0, -2 ], [ -56, -16, -48, -66, -40, 2, 4, 6, 6, 2, 6, 6, 0, -5, -7, 2, 2 ], [ -84, -2\
8, -66, -100, -52, 2, 4, 6, 6, 1, 3, 4, -1, -13, -17, 4, 0 ], [ -44, -12, -40, -52, -36, 2, 4, 6, 6, 2, 6, 6, 0, -1, -1, 0, 2 ], [ 2, 0, 2, 2, 2, -2, -1, \
-2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6\
, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 2, 1, 2, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 3, -3, 6, 3, 6, 0, 0, 0, 0, -4, -10\
, -8, -1, -3, -2, -2, -4 ], [ 4, -2, 6, 4, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [\
 -12, -4, -5, -13, -1, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ -16, -4, -7, -17, -1, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 4, 0, 2, 4, 0,\
 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -4, -2, -2, -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, -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, 0, 0, 1, -1, 0\
, -2, 0, 0, 0, 2 ], [ 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, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 1, -2, 0, 0, -1, -1, 0, 0, -1, 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, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 7, 2, 3, \
-3, 0, -5, 8, -8, 5, 2, 1, 1, 1, -2, 3, -2, 4, -1, -7, 6, 3, 5, 6, 9, 8, -1 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -1, 4, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 3, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 5, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, \
2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ],\
 [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ -2, 2, -1, 1, 0, 1, -2, 0, 2, 0, 0, 0, -2, -1, 0, 0, -2, 0, 1, -1\
, -1, -4, -4, 0, -4, 0 ], [ 3, -2, 1, -1, 0, -3, 4, 0, -3, 0, 0, 0, 3, 1, 0, 0, 3, 0, 0, 2, 1, 5, 5, 1, 4, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1\
, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1\
, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ]\
 ], r := [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, -1, -1, 0, 0, 0 ], [ -1, 0, 1\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0,\
 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, \
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, -1, \
1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, 1, -2, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, 0 ], [ 0, 0, 0, -1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, -1, 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 ], [ 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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], 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 ], [ 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, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 1, -1, 1, -\
2, 1, 0, 0, 1, 0, 0, 0, -2, -2, 0, 0, -2, 0, -3, 1, 2, 0, 0, 2, 1, 1 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0 ]\
, [ 2, 0, -2, 2, -2, 1, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, -2, 0, -4, 1, 2, 0, 0, 3, 1, 1 ], [ 2, 0, -2, 1, -1, 1, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, -1, 0, -3,\
 0, 1, -1, -1, 2, 0, 0 ], [ 2, 0, -2, 1, -2, 2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, -2, 0, -4, 1, 2, 0, 0, 3, 1, 1 ], [ 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 0, -1, 1, -2, 1, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, -2, 0, -3, 1, 2, 0, 0, 2, 1, 1 ], [ 0, 0, 0, 1, -2, 1, \
0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, -2, 0, -2, 1, 2, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 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, -1, 0, -1, 0, -3, 2, 3, 1, 1, 2, 2, 1 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1\
, -1, 0, -1, -1, 0, -3, 2, 3, 1, 1, 2, 2, 3 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -2, 0, -3, 2, 3, 1, 1, 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 ], [ 1, 0, -1, 1, -2, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, -1, -1, 1, 0, 0 ], [\
 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 2, -\
1, -1, 0, 0, 0 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0 ], [ 0, 0, 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, 1, 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, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec( GramQ := [ [ -6\
4, -20, -53, -75, -49, 2, 4, 6, 6, 1, 3, 4, -1, -4, 0, -4, 0 ], [ -20, -12, -16, -26, -16, 0, 0, 0, 0, -1, -3, -2, -1, 0, 4, -4, -2 ], [ -53, -16, -48, -6\
3, -46, 2, 4, 6, 6, 2, 6, 6, 0, 1, 5, -4, 2 ], [ -75, -26, -63, -90, -59, 2, 4, 6, 6, 1, 3, 4, -1, -3, 3, -6, 0 ], [ -49, -16, -46, -59, -48, 2, 4, 6, 6, \
2, 6, 6, 0, 5, 11, -6, 2 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6\
, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 2, 1, 2, 0, 0, 0, 0, -4, -4, -4, 0, -\
1, -2, -2, 0 ], [ 3, -3, 6, 3, 6, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 4, -2, 6, 4, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -1, -1, \
0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ -4, 0, 1, -3, 5, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 0, 4, 5, 3, 11, 0, 0, 0, 0, -2, -2,\
 -2, 0, -10, -16, 4, 0 ], [ -4, -4, -4, -6, -6, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], G\
ramQperp := [ [ -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, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 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, 0, 0 ] ], adjweyl := [ 8, 3, 1, -4, 3, -7, 8, -8, 7, 2, 1, 1, 2, -1, 3, -2, 5, -1, -8, 7, 1, 6, 7, 11, 9, -1 ], embQ := [ [ 1, 0, 0, 0,\
 0, -2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, 4, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, 0 \
], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -\
4, -1, 5, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -3, 2, 1, -3, 2, 0, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 1, 1, -3, 2, 1 ], [ 0, 3, -3, 0, 3, -3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -3, -2, -2, 3, -3, -2 ], [ -1, \
0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, \
3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, \
0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, \
1, 1, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, 0, -1 ] ], rootsQ := [ [ 0, \
0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -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, 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, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0,\
 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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\
, 1, 0, 2, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1 ], [ 0, 0, 0, 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, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 ], [ 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, 1, 0, 0, -1, 1, -1, -\
1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1 ], [ 0, 0, -1, 1, -1, 0, 0, -1, -1\
, 0, 0, -1, 0, 1, -1, 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, -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, 1, 0, 0, 0, -\
1 ], [ 0, 0, 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, 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, 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, 2, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1,\
 -2, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 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, 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, 0, 0, 1, -2, 0, 1, \
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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], 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, 1, -1, 1, -1, 0, 0, 1, 0,\
 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 1 ], [ 0, -1, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 1, 3, 3, -1, 1, 3 ], [ 0, 0, 2, -1, \
1, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 1 ], [ 0, -1, 4, -2, 2, -2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, -3, 3, -1, 4, 4, 0, 3, 4\
 ], [ 0, 0, 2, -2, 3, -2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, 2, -2, 2, 2, 0, 2, 2 ], [ 0, -3, 7, -4, 1, 0, 0, 0, 1, 0, 0, 0, 3, 3, 0, 0, 3, 0, -2, 2,\
 0, 5, 5, -2, 2, 5 ], [ 0, 0, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 1 ], [ 0, -3, 6, -3, 0, 0, 0, 1, 0, 0, 0, 0, 3, 3, \
0, 0, 2, 0, -1, 1, 1, 4, 4, -2, 1, 4 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 0, 1 ], [ 0, -2, 4, -2, 0, 0, 0, 0, 0\
, 1, 0, 0, 2, 2, 0, 0, 1, 0, -1, 1, 1, 3, 3, -1, 1, 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 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0, 2, 0, -2, 2, 2, 4, 4\
, 0, 2, 3 ], [ 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, 2, 0, -2, 2, 2, 4, 4, 0, 2, 5 ], [ 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, \
0, -2, 2, 2, 4, 4, 0, 2, 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, 1 ], [ 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2\
, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, -2, 0, 2 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 1, -1, 1, -1, 0, \
0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1, 0, 1, 1 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, 1, 0 ], [ 0, -1,\
 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, -1, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0\
, 0, 1 ], [ 0, -2, 3, -1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, 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, 1 ] ] ), rec( GramQ := [ [ -156, -77, -271, -338, -281, 2, 0, 2, -2, 15, 17, 22, -5, 18, 36, -4, -4 ], [ -77, -46, -133, -171, -140, \
0, -2, -2, -4, 6, 4, 7, -3, 11, 22, -4, -4 ], [ -271, -133, -488, -599, -509, 4, 2, 6, 0, 25, 33, 39, -6, 39, 70, -10, -2 ], [ -338, -171, -599, -744, -62\
5, 4, 0, 4, -4, 31, 37, 46, -9, 46, 86, -12, -6 ], [ -281, -140, -509, -625, -534, 4, 2, 6, 0, 25, 33, 39, -6, 43, 76, -12, -2 ], [ 2, 0, 4, 4, 4, -2, -1,\
 -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, 2, 0, 2, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -2, 6, 4, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], \
[ -2, -4, 0, -4, 0, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 15, 6, 25, 31, 25, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 17, 4, 33, 37, 33, 0, 0, 0\
, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 22, 7, 39, 46, 39, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -5, -3, -6, -9, -6, 0, 0, 0, 0, 0, -1, 0, -2, \
-1, 0, 0, -2 ], [ 18, 11, 39, 46, 43, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 36, 22, 70, 86, 76, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -\
4, -4, -10, -12, -12, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -4, -4, -2, -6, -2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -4, 0,\
 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 4, -8, 6, -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, 10, -6, 2 ], [ 0, -8, 0, 0, 0, 10, -20, 14, -4 ], [ 0, 6, 0, 0, 0, -6, 14, -12, 4 ], [ 0, -2, 0, 0, 0, 2, -4, 4, -4 ] ], Sigma := [ [\
 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 2, 0, -1 ], [ 1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, -1, -1 ], [ 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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 9, 3, 2, -5, 3, -8, 12, -12, 8, 2, 1, 1, 3, -2, 3, -2, 8, -1, -8, 9, 1, 8, 9, 14, 10, -3 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 4, -\
4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 8, 2, 0 ], [ 0, 1, 0, 0, 0, -1, 2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 1, \
0, 1, -4, 6, -6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 12, 3, 0 ], [ 0, 0, 0, 1, 1, -5, 8, -8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 4, \
0 ], [ 0, 0, 0, 0, 2, -4, 6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 12, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 2 ], [ 0, -3, 1, 1, -2, 2, 0, -2, 2, -2, 0, 0\
, 0, 0, 0, 0, 2, 0, 2, 0, -1, 1, 0, -1, 0, 1 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1\
, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0,\
 0 ], [ 2, 0, 0, -1, 1, -3, 2, 2, -3, 2, 0, 0, 2, 1, 0, 0, 0, 0, -1, 0, 2, 2, 3, 0, 2, -2 ], [ 0, -2, 0, 0, 0, 4, -4, -2, 4, -4, 0, 0, -1, 1, 0, 0, 2, 0, \
2, 0, -4, 0, -2, 0, -2, 4 ], [ 0, 2, 0, 0, 0, -2, 2, 0, -2, 4, 0, 0, 0, -1, 0, 0, -2, 0, -2, 0, 3, -1, 1, 0, 1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, \
0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 4, 2, 5, 8, 7, 6, 4, 4, 2, 1 ], rlifts := [ [ 0, 1, 0, 0, 0, -1, 2, -2, 1, 0, 0, 0, 0, -1, 0, 0,\
 1, 0, -1, 2, 0, 1, 1, 2, 1, -1 ], [ 1, 0, 0, -1, 1, -1, 2, -2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, -1, 1, 1, 2, 1, -1 ] ], rootsQ := [ [ 0, 1, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 1, 0, -1, 2, 0, -1 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, -2, 0, 1 ], [ 1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, -1, -1 ]\
, [ -1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, \
1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 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, 0, 0\
, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0\
, 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, 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, -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, \
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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] \
], rootstypeQ := [ "A1", "A1", "D4", "D5" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 6, 4, 4, 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 ], [ -4, -2, -5, -8, -7, -5, -4, -4, -2, -1 ], [ 8, 4, 10, 16, 14, 12, 9, 8, 4, 2 ], [\
 -8, -4, -10, -16, -14, -12, -8, -7, -4, -2 ], [ 4, 2, 5, 8, 7, 6, 4, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 3, 2, 0, -2, 2, -4, \
8, -8, 4, 0, 0, 0, 2, -2, 0, 0, 6, 0, -2, 6, -2, 4, 4, 8, 4, -4 ], [ 3, 0, 0, -3, 3, -2, 4, -4, 2, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 2, -2, 3, 3, 5, 3, -1 ], \
[ 3, 2, 1, -3, 3, -5, 10, -10, 5, 0, 0, 0, 3, -2, 0, 0, 8, 0, -2, 7, -3, 5, 5, 10, 5, -5 ], [ 6, 2, 0, -5, 6, -8, 16, -16, 8, 0, 0, 0, 5, -3, 0, 0, 13, 0,\
 -3, 11, -5, 9, 9, 17, 9, -7 ], [ 4, 3, 0, -4, 5, -7, 14, -14, 7, 0, 0, 0, 4, -3, 0, 0, 11, 0, -3, 10, -4, 7, 7, 14, 7, -7 ], [ 5, 0, 0, -5, 5, -4, 10, -1\
0, 5, 0, 0, 0, 4, -1, 0, 0, 9, 0, -1, 6, -4, 6, 6, 11, 6, -4 ], [ 2, 2, 0, -2, 2, -4, 9, -8, 4, 0, 0, 0, 2, -3, 0, 0, 6, 0, -2, 6, -2, 4, 4, 8, 4, -4 ], [\
 4, -1, 0, -4, 4, -3, 6, -5, 3, 0, 0, 0, 4, 1, 0, 0, 6, 0, 0, 3, -3, 4, 4, 7, 4, -2 ], [ 2, 0, 0, -2, 2, -2, 4, -4, 3, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 2, -2\
, 2, 2, 4, 2, -2 ], [ 2, -2, 0, -2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, -1, -1, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -3, 0, -2, 2, 1, -2\
, 2, -1, 0, 0, 0, 2, 3, -1, 0, 1, 0, 1, -2, 0, 1, 1, 0, 1, 2 ], [ 2, -3, 0, -2, 2, 1, -2, 2, -1, 0, 0, 0, 2, 3, 0, -1, 1, 0, 1, -2, 0, 1, 1, 0, 1, 4 ], [ \
2, -3, 0, -2, 2, 1, -2, 2, -1, 0, 0, 0, 2, 3, 0, 0, 0, 0, 1, -2, 0, 1, 1, 0, 1, 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, 1 ], [ 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, -1, -1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1,\
 0, 1, 0, -1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0\
, 1, 1, 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, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 1, -2,\
 2, -1, 0, 0, 0, 0, 1, 0, 0, -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, 0, 0, 0, 0, 1, 0 ], [ 0, \
0, 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, -97, -152, -85, -158, 2, 2, 4, 2, 6, 4, 7, -3, 9, \
18, -2, -4 ], [ -97, -296, -453, -248, -477, 4, 4, 8, 4, 13, 11, 16, -5, 36, 62, -12, -6 ], [ -152, -453, -720, -385, -754, 8, 10, 18, 12, 23, 27, 33, -6,\
 55, 92, -16, -4 ], [ -85, -248, -385, -212, -403, 4, 4, 8, 4, 13, 11, 16, -5, 28, 50, -8, -6 ], [ -158, -477, -754, -403, -792, 8, 10, 18, 12, 23, 27, 33\
, -6, 59, 98, -18, -4 ], [ 2, 4, 8, 4, 8, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 4, 10, 4, 10, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 8, 18\
, 8, 18, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 4, 12, 4, 12, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 13, 23, 13, 23, 0, 0, 0, 0, -4, -4, -4\
, 0, -1, -2, -2, 0 ], [ 4, 11, 27, 11, 27, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 7, 16, 33, 16, 33, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ]\
, [ -3, -5, -6, -5, -6, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 9, 36, 55, 28, 59, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 18, 62, 92, 50, 98,\
 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -2, -12, -16, -8, -18, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -4, -6, -4, -6, -4, 0, 0, 0, 0, 0, -4, \
-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, \
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, 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\
, 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1\
, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl\
 := [ 18, 2, 2, -4, 2, -26, 28, -8, 6, 2, 1, 1, 12, -1, 3, -2, 15, -1, -7, 16, 2, 16, 17, 20, 18, -16 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0 ], [ 0, 1, 0, 0, 2, -5, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 3, 1, 0 ], [ 0, 0, 1, 0, 3, -8, 6, 0,\
 -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 6, 3, 0 ], [ 0, 0, 0, 1, 1, -5, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 4, 2, 0 ], [ 0, 0, 0, \
0, 4, -8, 6, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 6, 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, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQp\
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\
, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, \
-1, 1, 0, -2, 2, -1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1\
, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0,\
 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 4, 3, 6, 9, 8, 7, 4, 3, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 1, 0, 1, 1,\
 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,\
 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, -1, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 1, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 1,\
 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -2, 0, 0, -1, 0, 1 ], [ 1, 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\
, 0, 0, -1, 0, 0, -1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 1 ], [ 1, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1,\
 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, -1, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 2, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, -2, -1, 1 ], [ 1, 0\
, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 1, 0, -3 ], [ -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, 2, -1, 0, -1,\
 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -\
1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, \
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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], 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\
, 0, 0, 8, 0, -1, 10, 1, 10, 10, 10, 10, -14 ], [ 8, 0, 0, 0, 1, -16, 16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, -12 ], [ 7, 0, 0, 0, 0, -1\
3, 14, 0, 0, 0, 0, 0, 6, -1, 0, 0, 6, 0, -1, 8, 1, 8, 8, 8, 8, -10 ], [ 4, 0, 0, 0, 0, -8, 9, 0, 0, 0, 0, 0, 4, -1, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, -7 ],\
 [ 3, 0, 0, 0, 0, -6, 6, 1, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, -1, 4, 1, 4, 4, 4, 4, -4 ], [ 2, 0, 0, 0, 0, -4, 4, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2,\
 2, 2, 2, -3 ], [ 1, 0, 0, 0, 0, -2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, 1, 2, 2, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 2, 2, 2, 2, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -90, -127, -78, -133, 1, 1, 2, 1, 2, -6, -2, -4, 6, 16, -4, -8 ], [ -90, -276, -394, -2\
28, -418, 2, 2, 4, 2, 5, -9, -2, -7, 30, 58, -16, -14 ], [ -127, -394, -588, -326, -622, 5, 7, 12, 9, 11, -3, 6, -9, 46, 86, -22, -16 ], [ -78, -228, -326\
, -192, -344, 2, 2, 4, 2, 5, -9, -2, -7, 22, 46, -12, -14 ], [ -133, -418, -622, -344, -660, 5, 7, 12, 9, 11, -3, 6, -9, 50, 92, -24, -16 ], [ 1, 2, 5, 2,\
 5, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 7, 2, 7, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 4, 12, 4, 12, -2, -2, -4, -2, 0, 0, 0, 0, 0, \
0, 0, 0 ], [ 1, 2, 9, 2, 9, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 5, 11, 5, 11, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ -6, -9, -3, -9, -3, \
0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ -2, -2, 6, -2, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -4, -7, -9, -7, -9, 0, 0, 0, 0, 0, -1, 0\
, -2, -1, 0, 0, -2 ], [ 6, 30, 46, 22, 50, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 16, 58, 86, 46, 92, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ]\
, [ -4, -16, -22, -12, -24, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -8, -14, -16, -14, -16, 0, 0, 0, 0, 0, -4, -2, -2, -2, 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 ], [ 0, 0, 0, 2, -4, 2, \
0, 0, 0 ], [ -4, 0, 0, 0, 2, -12, 0, -12, 4 ], [ -2, 0, 0, 0, 0, 0, -4, -4, 2 ], [ -8, 0, 0, 0, 0, -12, -4, -20, 6 ], [ 2, 0, 0, 0, 0, 4, 2, 6, -4 ] ], Si\
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,\
 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 16, 2, 2, -4, 2, -14, 1\
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,\
 2, 0, -1, 0 ], [ 0, 1, 0, 0, 2, -3, 2, -2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 8, -1, -3, 0 ], [ 0, 0, 1, 0, 3, -5, 3, -3, -2, 6, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -2, 12, 0, -3, 0 ], [ 0, 0, 0, 1, 1, -3, 2, -2, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 6, 0, -2, 0 ], [ 0, 0, 0, 0, 4, -5, 3, -3, -\
3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 13, 0, -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, 0, 0, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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,\
 -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -1, \
-1, 1, -1, 0, 2, 2, -4, 1, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, 1, 0, 2, 2, 1, 2, 1 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0\
, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 4, -4\
, 3, -4, 0, 0, 2, 0, 0, 0, 6, 0, 0, 3, -2, 5, 3, 5, 4, 0 ], [ 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1 ], [ 0, \
0, 0, 0, 0, 0, 4, -8, 6, -4, 0, 0, 0, -2, 0, 0, 6, 0, 0, 4, -3, 3, 1, 6, 3, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1,\
 0, -1, 0, -1 ] ], r := [ 4, 3, 6, 9, 8, 7, 5, 4, 2, 0 ], rlifts := [ [ 1, 0, 0, 0, 0, -1, 1, -1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ] \
], rootsQ := [ [ 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, \
0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0,\
 -1, 0, 2 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, -1, 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, 1, 0, -2 ], [ -1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2 ], [ 1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, 0, -2 ], [ -1, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1,\
 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0,\
 -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ]\
, [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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,\
 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D5", "D5" ], 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, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 0 ], [ -4, -3, -6, -9, -8, -6, -5, -4, -2, 0 ], [ 4, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], [ -4, -3, -6, -9, -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 := [ [ 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,\
 0, 0, 0, -3, 3, -3, 0, 6, 0, 1, 0, -1, 0, 0, -1, 0, -1, 4, 1, 1, 4, 1, 1, -5 ], [ 6, 0, 1, 0, 0, -6, 6, -6, 0, 12, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6,\
 0, 0, -12 ], [ 9, 0, 0, 1, 0, -9, 9, -9, 0, 18, 0, 1, 3, -1, 0, 0, -1, 0, -1, 10, 1, 1, 10, 1, 1, -17 ], [ 8, 0, 0, 0, 1, -8, 8, -8, 0, 16, 0, 0, 4, 0, 0\
, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, -16 ], [ 7, 0, 0, 0, 0, -6, 7, -7, 0, 14, 0, 1, 2, -1, 0, 0, -1, 0, -1, 8, 1, 1, 8, 1, 1, -13 ], [ 5, 0, 0, 0, 0, -5, 6, -\
5, 0, 10, 0, 1, 2, -1, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, -10 ], [ 4, 0, 0, 0, 0, -4, 4, -3, 0, 8, 0, 0, 2, 0, 0, 0, -1, 0, -1, 5, 1, 1, 5, 1, 1, -7 ], [ 2,\
 0, 0, 0, 0, -2, 2, -2, 1, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 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, 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, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -107, -164, -91, -172, 0\
, 0, 0, 0, 4, 6, 7, -1, 13, 22, -6, 0 ], [ -107, -336, -507, -280, -535, 0, 0, 0, 0, 9, 15, 16, -1, 44, 70, -20, 2 ], [ -164, -507, -792, -427, -832, 2, 4\
, 6, 6, 17, 33, 33, 0, 67, 104, -28, 8 ], [ -91, -280, -427, -236, -449, 0, 0, 0, 0, 9, 15, 16, -1, 36, 58, -16, 2 ], [ -172, -535, -832, -449, -876, 2, 4\
, 6, 6, 17, 33, 33, 0, 71, 110, -30, 8 ], [ 0, 0, 2, 0, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, \
0 ], [ 0, 0, 6, 0, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 6, 0, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 9, 17, 9, 17, 0, 0, 0, 0, -\
4, -4, -4, 0, -1, -2, -2, 0 ], [ 6, 15, 33, 15, 33, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 7, 16, 33, 16, 33, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2,\
 -2, -2 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 13, 44, 67, 36, 71, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 22, 70, 104\
, 58, 110, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -6, -20, -28, -16, -30, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ 0, 2, 8, 2, 8, 0, 0, 0, 0, 0\
, -4, -2, -2, -2, 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 := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, -1, -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, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 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, 0, 0 ] ], \
adjweyl := [ 18, 2, 2, -4, 2, -6, 8, -28, 26, 2, 1, 1, 2, -1, 3, -2, 15, -1, -7, 16, -8, 6, 7, 20, 8, -6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, -1, 0 ], [ 0, 1, 0, 0, 2, -1, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 8, 3, -3, 0 ], [ 0, 0, 1, 0, 3, -2\
, 0, -6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 12, 6, -3, 0 ], [ 0, 0, 0, 1, 1, -1, 0, -4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 6, 4, -2, 0 ], \
[ 0, 0, 0, 0, 4, -2, 0, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 13, 6, -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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ -2, -3, 2, -2, 0, 5, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 3, 2, -1, 2, 5 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ]\
, [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2,\
 0, -2, -2, -2, -2, 2 ], [ 0, 1, 0, 0, 0, -1, 2, -2, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 1, 1, 1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, \
0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 4, 3, 6, 9, 8, 7, 6, 5, 2, 1 ], rlifts := [ [ 1, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -1, 1, 1, 1, \
0, 1, -1, 0, 0, 1, 0, -2 ] ], rootsQ := [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, -1, 1, 2 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, -1, \
-2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,\
 -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2\
 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [\
 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, -1, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, -1, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -\
1, 0, 1, -2, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 2, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1 ], [ 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1 ], \
[ -1, 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, 1, 1, 0, 1, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1\
, 1, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0 ], [ -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, 1, -1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1, 0 ], [ \
-1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 2, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, -1 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, \
1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0\
, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D4", "D6" ], theg := [ [ 5, 3, 6, 9, 8, 7, 6, 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 ], [ 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 ], [ -8, -6, -12, -18, -16, -14, -12, -9, -4, -2 ], [ 8, 6, 12, 18, 16, 14, 12, 10, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] \
], thegtilde := [ [ 5, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, -4, 0, 0, 4, 0, -3 ], [ 3, 1, 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, -1, -1, 0, 0\
, 2, 0, -1, 4, -2, 1, 1, 4, 1, -2 ], [ 6, 0, 1, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, -6, 0, 0, 6, 0, -3 ], [ 9, 0, 0, 1, 0, 0, 0, -18, 18\
, 0, 0, 0, -1, -1, 0, 0, 8, 0, -1, 10, -8, 1, 1, 10, 1, -5 ], [ 8, 0, 0, 0, 1, 0, 0, -16, 16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, -8, 0, 0, 8, 0, -4 ], [ 7, \
0, 0, 0, 0, 1, 0, -14, 14, 0, 0, 0, -1, -1, 0, 0, 6, 0, -1, 8, -6, 1, 1, 8, 1, -3 ], [ 6, 0, 0, 0, 0, 0, 1, -12, 12, 0, 0, 0, 0, -1, 0, 0, 6, 0, 0, 6, -6,\
 0, 0, 6, 0, -4 ], [ 5, 0, 0, 0, 0, 0, 0, -9, 10, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 6, -4, 1, 1, 6, 1, -2 ], [ 2, 0, 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0, \
0, 2, 0, 0, 2, -2, 0, 0, 2, 0, -1 ], [ 1, 0, 0, 0, 0, 0, 0, -2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 1, 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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 2, 2, 2, 2, 2, 2,\
 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 2, 2, 2, 2, 2, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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 := [ [ -108, -80, -75, -151, -81, 2, 2, 4, 2, 14, 18, 22, -4, 10, 22, 0, -2 ],\
 [ -80, -76, -48, -120, -52, 0, -2, -2, -4, 11, 9, 14, -5, 6, 18, 0, -6 ], [ -75, -48, -60, -102, -66, 2, 3, 5, 4, 9, 15, 16, -1, 12, 20, -2, 2 ], [ -151,\
 -120, -102, -216, -110, 2, 1, 3, 0, 20, 24, 30, -6, 14, 32, 0, -4 ], [ -81, -52, -66, -110, -76, 2, 3, 5, 4, 9, 15, 16, -1, 16, 26, -4, 2 ], [ 2, 0, 2, 2\
, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -2, 3, 1, 3, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, -2, 5, 3, 5, -2, -2, -4, -2, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 2, -4, 4, 0, 4, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 14, 11, 9, 20, 9, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 18, 9, 15, 24, 15\
, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 22, 14, 16, 30, 16, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -4, -5, -1, -6, -1, 0, 0, 0, 0, 0, -\
1, 0, -2, -1, 0, 0, -2 ], [ 10, 6, 12, 14, 16, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 22, 18, 20, 32, 26, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4,\
 0 ], [ 0, 0, -2, 0, -4, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -2, -6, 2, -4, 2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 0, 0, -4 ] ], GramQperp := [ [ -8, 0\
, 0, 2, 0, 2, -6, 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 ], [ -6, 0, 0, 0, 0, 4, -12, 2, 0 ], [ 2, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 1, 0, \
-1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1 ], [ 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, 0, 0, 0, -1, 1, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, 1, 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, 0, 0 ] ], adjweyl := [ 16, 10, 2, -4, 2, -14, 16, -24, 22, 2, 1,\
 1, 2, -5, 3, -2, 13, -1, -15, 14, 2, 6, 7, 26, 16, -9 ], embQ := [ [ 1, 0, 0, 1, 1, -3, 2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 8, 4, 0 ], [ \
0, 1, 0, 2, 0, -3, 2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 0 ], [ 0, 0, 1, 0, 1, -2, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2,\
 4, 2, 0 ], [ 0, 0, 0, 3, 1, -5, 3, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 12, 6, 0 ], [ 0, 0, 0, 0, 2, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 3, 4, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -\
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 ] ], embQperp := [ [ -1, -1, 1, -1, 0, 4, -2, -2, 1, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 3 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 0, 1, -1, 0, \
1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, \
-1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, \
0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 4, -6, 0, 2, 0, 0, 0, -2, 1, 0, 0, -2, 0, 0, -2, -1, -3, -3, -2, -3, 3 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2,\
 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 4, \
3, 6, 9, 8, 7, 6, 6, 4, 2 ], rlifts := [ [ 1, 1, 0, 0, 0, -1, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 2, 1, -1 ] ], rootsQ := [ [ -1, -1, 0, \
1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, -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, 1, 0, -1, 1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 1,\
 0, -1, 0, 0, 1, 0, -1, 1, 0, -1 ], [ -1, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, 0, -1 ]\
, [ -1, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 1, 0, 0, 0,\
 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1 ], [ -1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0\
, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1 ], [ -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1 ], [ 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -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, 0, 0, 0, 0, 1, -1, 0, -1, 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, 1, -1, 0, 0, 0, 0, \
0, 1 ], [ 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, -1, 0, -2, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, 0, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1,\
 1 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 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, -1, 1, -1, 0, 0, 0, 1 ], [ 0, 0, 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, 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, -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, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "D5", "D5" ], theg := [ [ 5, 3\
, 6, 9, 8, 7, 6, 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 ], [ 0, 0, 0, 0, 1, 0, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 4, 3, 6, 9, 8, 7, 7, 6, 4, 2 ], [ -8, -6, -12, -18, -16, -14, -12, -11, -8, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ 9, 8, 0, 0, 0, -8, 8, -16, 16, 0, 0, 0, 0, -4, 0, 0, 8, 0, -8, 8, 0, 0, 0, 16, 8, -8 ], [ 7, \
8, 0, 0, 0, -7, 7, -14, 14, 0, 0, 1, -1, -5, 0, 0, 6, 0, -8, 8, 1, 1, 1, 15, 8, -6 ], [ 12, 12, 1, 0, 0, -12, 12, -24, 24, 0, 0, 0, 0, -6, 0, 0, 12, 0, -1\
2, 12, 0, 0, 0, 24, 12, -12 ], [ 19, 19, 0, 1, 0, -19, 19, -38, 38, 0, 0, 1, -1, -11, 0, 0, 18, 0, -20, 20, 1, 1, 1, 39, 20, -18 ], [ 14, 14, 0, 0, 1, -14\
, 14, -28, 28, 0, 0, 0, 0, -7, 0, 0, 14, 0, -14, 14, 0, 0, 0, 28, 14, -14 ], [ 17, 17, 0, 0, 0, -16, 17, -34, 34, 0, 0, 1, -1, -10, 0, 0, 16, 0, -18, 18, \
1, 1, 1, 35, 18, -16 ], [ 10, 10, 0, 0, 0, -10, 11, -20, 20, 0, 0, 0, 0, -6, 0, 0, 10, 0, -10, 10, 0, 0, 0, 20, 10, -10 ], [ 12, 12, 0, 0, 0, -12, 12, -23\
, 24, 0, 0, 0, 0, -6, 0, 0, 11, 0, -13, 13, 1, 1, 1, 25, 13, -11 ], [ 4, 4, 0, 0, 0, -4, 4, -8, 9, 0, 0, 0, 0, -2, 0, 0, 4, 0, -4, 4, 0, 0, 0, 8, 4, -4 ],\
 [ 4, 4, 0, 0, 0, -4, 4, -8, 8, 1, 0, 0, 0, -2, 0, 0, 3, 0, -5, 5, 1, 1, 1, 9, 5, -3 ], [ 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, 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, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, -2, 2, -4, 4, 0, 0, 0, \
0, -1, -1, 0, 2, 0, -4, 4, 2, 2, 2, 6, 4, -1 ], [ 2, 2, 0, 0, 0, -2, 2, -4, 4, 0, 0, 0, 0, -1, 0, -1, 2, 0, -4, 4, 2, 2, 2, 6, 4, 1 ], [ 2, 2, 0, 0, 0, -2\
, 2, -4, 4, 0, 0, 0, 0, -1, 0, 0, 1, 0, -4, 4, 2, 2, 2, 6, 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, 1 ], [ 2,\
 2, 0, 0, 0, -2, 2, -4, 4, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, 2, 0, 0, 0, 4, 2, -2 ], [ 2, 2, 0, 0, 0, -2, 2, -4, 4, 0, 0, 0, 0, -1, 0, 0, 2, 0, -2, 3, 0, 0,\
 0, 4, 2, -2 ], [ -2, -2, 0, 0, 0, 2, -2, 4, -4, 0, 0, 0, 0, 1, 0, 0, -2, 0, 2, -2, 1, 0, 0, -4, -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, 0, 0 ], [ 2, 2, 0, 0, 0, -2, 2, -4, 4, 0, 0, 0, 0, -1, 0, 0, 2, 0, -2, 2, 0, 0, 1, 4, 2, -2 ], [ 2, 2, 0, 0, 0, -2, 2, -4, 4, 0,\
 0, 0, 0, -1, 0, 0, 2, 0, -2, 2, 0, 0, 0, 5, 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, 1, 0 ], [ 0, 0, 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 := [ [ -48, -16, -43, -57, -43, 2, 4, 6, 6, 1, 3, 4, -1, 4, 8, -4, 0 ], [ -\
16, -12, -14, -22, -16, 0, 0, 0, 0, -1, -3, -2, -1, 4, 8, -4, -2 ], [ -43, -14, -42, -52, -43, 2, 4, 6, 6, 2, 6, 6, 0, 7, 11, -4, 2 ], [ -57, -22, -52, -7\
0, -53, 2, 4, 6, 6, 1, 3, 4, -1, 7, 13, -6, 0 ], [ -43, -16, -43, -53, -48, 2, 4, 6, 6, 2, 6, 6, 0, 11, 17, -6, 2 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6\
, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, 2, 1, 2, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 3, -3, 6, 3, 6, 0, 0, 0, 0, -4, -10, -8, -1, -3\
, -2, -2, -4 ], [ 4, -2, 6, 4, 6, 0, 0, 0, 0, -4, -8, -8, 0, -2, -2, -2, -2 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 4, 4, 7, 7,\
 11, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [ 8, 8, 11, 13, 17, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ -4, -4, -4, -6, -6, 0, 0, 0, 0, -2, \
-2, -2, 0, 2, 4, -4, 0 ], [ 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -4, -2, -2, -2, 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, 0, 0, 1, -1, 0, -2, 0, 0, 0\
, 2 ], [ 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1\
, -1, 0, 1, -1, -1, -1 ], [ 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 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, -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, 0, 0 ] ], adjweyl := [ 8, 3, 1, -4, 3, -7, 8\
, -8, 7, 2, 1, 1, 2, -1, 3, -2, 5, -1, -6, 6, 1, 5, 6, 11, 6, -2 ], embQ := [ [ 1, 0, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, 4,\
 -4, 0 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, -3, 0 ], [ 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, -2, 0, 3, -3, 0 ], [ 0, 0, 0, 1, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -1, 5, -5, 0 ], [ 0, 0, 0, 0, 1, -2, 0, 0, 3, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 3, -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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ 0, -1, 0, -2, 2, 1, \
0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, -1, 0, 2, 2, 0, 1, 2 ], [ 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 0 ], [ 1,\
 1, -2, -1, 3, -2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -2, 1, 1, 2, 1, 0 ], [ -2, 1, 1, 2, -3, 1, 0, 0, -1, 0, 0, 0, -2, -2, 0, 0, -2, 0, 1, 0, 1, \
-3, -3, -1, -2, -1 ], [ 2, -1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, -1 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1,\
 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0,\
 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], \
r := [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, -1 ], [ 0, 0, 1, -1\
, 1, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, \
0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0\
, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0, -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, \
0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 ], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1 \
], [ 0, -1, 2, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 0, -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, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 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, 1, -1, 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, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, 0 ], [ 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 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, -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, 0, 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, 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, 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, 0, 0, 1, -2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], the\
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,\
 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, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 3, -3,\
 1, 1, -1, 0, 0, 1, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 1, 0, -1, -1, 3, -2, -1 ], [ 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1,\
 1, -2, -1 ], [ 0, 1, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 2, -2, 0 ], [ 0, 0, 1, -1, 2, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, \
0, 1, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 3, -4, 1, 2, -1, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, -2, 0, 1, 1, -1, -2, -2, 4, -4, -2 ], [ 0, 0, 1, -1, 1, -1, 1, 0, 1, \
0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0 ], [ 0, 3, -5, 2, 1, -1, 0, 1, 1, 0, 0, 0, -2, -2, 0, 0, -3, 0, 0, 1, 0, -2, -2, 4, -3, -2 ], [ 0, 1, \
-2, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, -1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, -3, 0, -1, 1, 1, -1\
, -1, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -1, 0, -2, 0, -2, 2, 2, 0, 0, 4, 0, -1 ], [ 0, 2, -4, 2, 0, 0, 0\
, 0, 0, 0, 0, 0, -2, -2, 0, -1, -2, 0, -2, 2, 2, 0, 0, 4, 0, 1 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -3, 0, -2, 2, 2, 0, 0, 4, 0, 0 ], [\
 0, 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, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 1, 0, 0, -2,\
 -2, 2, -2, -2 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 1, -1, -1 ], [ 0, 0, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, -\
1, 0, 0, -1, 0, -1, 0, 2, 0, 0, 0, 1, 0 ], [ 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, 1, -1, 2, 1 ], [ 0, 1, -1, 0, 1, -1, 0,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, -2, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 2, -1, -1 ], \
[ 0, 2, -3, 1, 1, -1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, -1, -2, -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, 1 ] ] ), rec( GramQ := [ [ -36, -18, -31, -47, -33, 2, 4, 6, 6, 6, 6, 8, -2, 4, 10, 0, -2 ], [ -18, -24, -9, -31, -9, 0, 0, 0, 0, 3, -3, 0,\
 -3, 0, 6, 0, -6 ], [ -31, -9, -34, -38, -38, 2, 4, 6, 6, 5, 9, 9, 0, 9, 14, -2, 2 ], [ -47, -31, -38, -66, -40, 2, 4, 6, 6, 8, 6, 9, -3, 5, 14, 0, -4 ], \
[ -33, -9, -38, -40, -46, 2, 4, 6, 6, 5, 9, 9, 0, 13, 20, -4, 2 ], [ 2, 0, 2, 2, 2, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 4, 4, 4, -1, -2, -2, \
-2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, -2, -2, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 6, 6, 6, 0, -2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 3,\
 5, 8, 5, 0, 0, 0, 0, -4, -4, -4, 0, -1, -2, -2, 0 ], [ 6, -3, 9, 6, 9, 0, 0, 0, 0, -4, -10, -8, -1, -3, -2, -2, -4 ], [ 8, 0, 9, 9, 9, 0, 0, 0, 0, -4, -8\
, -8, 0, -2, -2, -2, -2 ], [ -2, -3, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, 0, -2 ], [ 4, 0, 9, 5, 13, 0, 0, 0, 0, -1, -3, -2, -1, -8, -10, 2, -2 ], [\
 10, 6, 14, 14, 20, 0, 0, 0, 0, -2, -2, -2, 0, -10, -16, 4, 0 ], [ 0, 0, -2, 0, -4, 0, 0, 0, 0, -2, -2, -2, 0, 2, 4, -4, 0 ], [ -2, -6, 2, -4, 2, 0, 0, 0,\
 0, 0, -4, -2, -2, -2, 0, 0, -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, 0, 0, 0, 0 ], [ 2, 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, 2 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 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, 0, 0, 0, -1, 1, 1\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1 ], [ 2, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -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\
, -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, 0, 0 ] ], adjweyl := [ 11, 3, 2, -5, 3, -8, 8, -8, 6, 2, 1, 1, 3, 0, 3, -2, 6, -1, -8, 7, 2, 7, 8, 12, 9\
, -2 ], embQ := [ [ 1, 0, 0, 1, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 2, 0 ], [ 0, 1, 0, 2, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 3, 1, 0 ], [ 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0 ], [ 0, 0, 0, 3, 1, -5, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 6, 3, 0 ], [ 0, 0, 0, 0, 2, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0, 0, 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, 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, -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 ] ], embQperp := [ [ 1, -2, 1, -2, 1, 0, 2, 0, -2, 0, 0, 0, 2, 1, 0, 0, 2, 0, -1, 0, 1, 4, 4, 0, 3, 1 ], [ 2, -3\
, 1, 0, -1, -1, 2, 0, -1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 3, 3, -1, 2, -1 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0\
, 1, 1, 0 ], [ 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, -2, -1 ], [ -1, 0, 1, 1, -2, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, \
0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -2, -2, -2, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 2, -4\
, 2, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 1, 1, 2, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 2, -1, 0, -1, 0, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, -1, 2, 1, 2 ] ], r := [ 2, 1, 3, 5, 5, 5, 4, 3, 2, 1 ], rlifts := [ [ 2, 0, 0, -1, 1, -\
1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1, 1, 1, 0 ], [ 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1 ] ], ro\
otsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -2, 1, -1, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 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, 1, 0, 2, 0, 0, 0\
, -2 ], [ 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, 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, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, -2 \
], [ 0, 0, 0, 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, 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, 1, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 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 ], [ 2, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 0 ], [ -2, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, -1, 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, 1, -1, 0, 0, 0, 0, -1 ], [ 0, 0, 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, 1, -1, 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, 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, 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, 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, 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, 0, 0, 1, -\
2, 0, 1, 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 ], [ 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, 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, -2, 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, 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, 0, 0, 0, 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, 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, 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, 0, 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D5" ], theg := [ [ 3, 1, 3, 5, 5, 5, 4, 3, 2, 1 ], [ 2, 2, 3, 5, 5, 5, 4, 3, 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, -1, -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 := [ [ 4, 1, 0, -1, \
1, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1, 2, 1, -1 ], [ 2, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, 2, 2, 2, 2, 1 ]\
, [ 5, 1, 1, -2, 2, -3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, 2, 0, 2, 2, 3, 2, -1 ], [ 8, 2, 0, -2, 3, -5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -4, 4, 1\
, 4, 4, 6, 4, -1 ], [ 7, 3, 0, -2, 3, -5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, 2, 0, 2, 2, 5, 2, -3 ], [ 6, 2, 0, -2, 2, -3, 0, 0, 0, 0, 0, 0, 1, 1, 0,\
 0, 1, 0, -3, 3, 1, 3, 3, 5, 3, -1 ], [ 6, 2, 0, -2, 2, -4, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, -2, 2, 0, 2, 2, 4, 2, -2 ], [ 3, 1, 0, -1, 1, -2, 0, 1, 0,\
 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 2, 1, 2, 2, 3, 2, 0 ], [ 3, 1, 0, -1, 1, -2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1, 2, 1, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 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, 0, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0 ], [ 0, 0, 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, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, \
0, -1, 1, 2, 1, 1, 1, 1, 1 ], [ -2, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, -1, 1, 2, 1, 1, 1, 1, 3 ], [ -2, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0\
, 0, -1, -1, 0, 0, -2, 0, -1, 1, 2, 1, 1, 1, 1, 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, 0 ], [ -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, -1, -1 ],\
 [ -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, -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, 1, 0, 0, 0, 0 ], [ 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 2, 0, 1, 1 ], [ -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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 2, 2, 2, 2, 1, 0 ], [ 2, 1, 2, 3, 3, 3, 2, \
1, 0, 0 ], [ 8, 5, 10, 15, 14, 13, 10, 9, 6, 3 ], [ 6, 3, 6, 11, 10, 9, 7, 6, 4, 2 ], [ 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, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 6, 4, 8, 12, 10, 10, 7, 6, 4, 2 ], [ 0, 0, 0, 0, 1\
, 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,\
 1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 1/2 ], [ 1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, -1/2 ], [ -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0,\
 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,\
 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ -1/2, 1/2, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ -1/2, 1/2, 0, 0, 1/2, -1/2, 0, 0, 0\
, 0, 0, 0, 1/2, -1, 1/2, 0 ], [ 1/2, -1/2, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 1, -1/2, 0 ], [ 0, -1, 1/2, 0, 0, 1/2, 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, 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\
, 0, 0, 0, 1/2, 0, 0, 0, 1, 0, 0 ], [ 1/2, 0, 1/2, -1, 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, 0\
, 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,\
 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 1/2, 0 ], [ 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, -1/2, 0 ], [ 1, 0, 0, -1/2, 0, 0, 0, 0, 0, \
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,\
 0, 1/2, 0, 0, 1/2, 1/2, -1/2, -1/2 ], [ -1, 0, -1/2, 1, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2, 1/2, 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, 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\
, 0, 0, 0, -1/2, 0, 0, 1/2, -1, 0, 0 ], [ 1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2, 0 ], [ -1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2,\
 0, 0, 1/2, 0, 1/2, 0 ], [ 0, 1/2, 0, -1/2, 1, -1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, -1/2 ], [ 0, -1/2, 0, 1/2, -1, 1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 1\
/2 ], [ 1/2, -1, 1/2, -1/2, 1/2, 1/2, 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, -1, 0, 0, 0, -1, 0, 1/2 ], [ 1/2, 1/2,\
 -1, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ -1/2, -1/2, 1, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 1, 0, 1/2, -3/2, 1, 0, 0, 0, 0, 1\
, 0, 0, 0, 1, -1/2, -1 ], [ -1, 0, -1/2, 3/2, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1/2, 1 ], [ -1, 1/2, -1/2, 1, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, -1, 1/2, 1\
/2 ], [ 1, -1/2, 1/2, -1, 0, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 1, -1/2, -1/2 ], [ -1/2, -1, 0, 1, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 1/2, 1, 0,\
 -1, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ -1/2, 0, 1, -1/2, 1/2, -1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0 ], [ 1/2, 0, -1, 1/2, -1/2, 1/2, 0\
, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2, 0 ], [ 0, -3/2, 3/2, -1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 0, 1, 1/2, 0 ], [ 0, 3/2, -3/2, 1/2, 0, -1/2, 0, 0, 0, -1, 0, 0, 0\
, -1, -1/2, 0 ], [ -1/2, 1/2, -3/2, 3/2, -1/2, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1/2 ], [ 1/2, -1/2, 3/2, -3/2, 1/2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1/2 ], [\
 -1/2, 3/2, -1/2, 0, 1/2, -1, 0, 0, 0, -1/2, 0, 0, 1/2, -1, 0, 0 ], [ 1/2, -3/2, 1/2, 0, -1/2, 1, 0, 0, 0, 1/2, 0, 0, -1/2, 1, 0, 0 ] ], embR := [ [ 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 1, -4, 4, \
2, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, -2, 2, 2, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 0, -1, 0, -1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0\
, 0, 0, -2, 0, 2, 0, -4, 1, -6, 5, 3, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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\
, 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 ] ], embS := [ [ -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, 0, 1, 0, 0, 1, 1, 0, 0, 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, 0, 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, -1 ], [ \
0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, \
0, 1, 1, 0 ], [ 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 ] ], generatorsOL10D := [ [ [ -1, -1, -2, -3, -3, -3, -2, -2, -1, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0,\
 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 1, 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, -6, -5, -4, -3, -2, 0 ], [ 2\
, 1, 2, 3, 3, 3, 3, 2, 1, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 4, 2, 4, 7, 6, 6, 4, 3, 2, 1 ] ], [ [ -1, -1, -2, -3,\
 -3, -3, -2, -1, -1, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 1, 0 ], [ -4, -2, -4, -7, -6, -5, -4, -2, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 2, 4, 7, 6, 6, 4, 3, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],\
 [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ] ], [ [ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], [ 2, 1, 2, 3, 2, 2, 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, 1, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -2, -4, -5, -4, -3, -2, -1, 0, 0 ], [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 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, 0, 0, 0, 0, 1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 3, 6, 9, 8, 8, 6, 4, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6, -4, -8, -12, -12, -11, -8, -6, -4, -2 ], [ 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0 ], [ 2, 1, 2, 4, 4, 4, 4, 3, 2, 1 ], [ 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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 3, 6, 9, 8, 8, 6, 4, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -6,\
 -4, -8, -12, -12, -11, -8, -6, -4, -2 ], [ 1, 0, 1, 2, 2, 2, 1, 1, 1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 2,\
 4, 4, 4, 4, 3, 2, 1 ] ] ], interiorpt := [ 508, 309, 652, 1016, 906, 817, 618, 419, 254, 110 ], isomto := [ ], m4R := 1888, name := "20B", ogR := 1522029\
035520, orderOL10D := 64, projR := [ [ 2, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, -1, -1/2 ], [ 1/2, 0, -1/2, 1/2, 0, 0, -1/2, 0, 0, 1/2, 1/2, 1/2\
, 1/2, 1/2, -1, -1/2 ], [ 2, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, -1, -1 ], [ 5/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1, 1/2, 1/2, 1, 1, -2, -3/2 ],\
 [ 2, -1/2, -1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, -1, -1/2 ], [ 3/2, -3/2, -3/2, 1, 0, 3/2, -1/2, 0, 0, 1, 1/2, 1/2, 0, 1, -3/2, -1 ], [ 1, -1/2,\
 -1/2, 1/2, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 0 ], [ 1/2, -1/2, -1/2, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, -1/2, 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, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2 ], [ 0, 0, 0, 1/2, -1, 0, 1, 0, 0, -1/2, 0, 0, -1/2,\
 0, 0, 1/2 ], [ 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, -1/2, 0, -1/2, 1, 1/2, 0, 0, 0,\
 3/2, 0, 0, 1/2, 0, 0, -1/2 ], [ 0, -1/2, -1/2, 1, -1, 1/2, 0, 0, 0, -1/2, 1, 0, -1/2, 0, -1/2, 1/2 ], [ 0, -1/2, -1/2, 1, -1, 1/2, 0, 0, 0, -1/2, 0, 1, -\
1/2, 0, -1/2, 1/2 ], [ 0, -1, -1, 1/2, 1, 1, -1, 0, 0, 1/2, 1, 1, -1/2, 1, -3/2, -1 ], [ 0, 1/2, 0, 1/2, -1, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 0, 0, 1/2 ], \
[ 0, 1/2, 1/2, 0, -1, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, 0, 1/2 ], [ 0, 1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1, -1/2, 0 ], [ 0, -1/2, -1, 1, 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, 1/2, 0 ], [ 0, 0, 0, 1/2, -1, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0\
, 0, 1/2 ], [ 1/2, 0, -1, 1/2, -1/2, 1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 0, -1/2, 0 ], [ -1/2, -1, 0, 1, -1/2, 1/2, 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, 0, 1 ] ], projS := [ [ 7, 9/2, 9, 27/2, 11, 9, 7, 5, 3, 3/2 ], [ 9/2, 5/2, 5, 17/2, 7, 11/2, 4, 3, 2, 1 ], [ 9, 6, 1\
1, 17, 14, 23/2, 9, 13/2, 4, 2 ], [ 27/2, 17/2, 17, 51/2, 21, 17, 13, 19/2, 6, 3 ], [ 11, 15/2, 27/2, 43/2, 35/2, 14, 11, 8, 5, 5/2 ], [ 19/2, 6, 21/2, 18\
, 29/2, 23/2, 9, 13/2, 4, 2 ], [ 7, 5, 17/2, 14, 11, 9, 7, 5, 3, 3/2 ], [ 9/2, 3, 11/2, 9, 15/2, 6, 9/2, 3, 2, 1 ], [ 3, 5/2, 4, 13/2, 5, 4, 3, 2, 1, 1/2 \
], [ 3/2, 1, 2, 3, 5/2, 2, 3/2, 1, 1/2, 0 ], [ 0, 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, 0 ], [ 0\
, -1/2, -1/2, -1/2, -1/2, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 1, 1/2, 0, 0, 0\
, 0 ], [ 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0 ], [ -1, -1/2, -1/2, -3/2, -1, -1, -1, -1/2, 0, 0 ], [ 0, 0, 1/2, 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, 0, 0, 0 ], [ 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 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, 0, 0 ] ], rootsR := [ [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, -1, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 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, 0, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ -1, 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, 0, 0, 0, -1, -1 ], [ -1, 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, 1, 0, 0, -1, \
-1 ], [ 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, 1, 1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, \
1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1\
, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 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, 1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 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, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, -1, 0, 1, 0, 0, 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, 1, 0, 0, 1, 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, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0\
 ], [ -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, -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, 1, -1, 0, 0, 0, 0 ], [ -1, 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, -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, -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, 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, 0, 0\
, 0, 0, 0, 0, 0, 0 ] ], rootstypeR := [ "D4", "D4" ], volindex := 322560, wallrecs := [ rec( GramQ := [ [ -4, -7, -4, -4, -3, -7, -1, -1, -1, 0, -3, -3, 1\
, -1, -2, -4, -2 ], [ -7, -68, -38, -34, -7, -68, -1, -4, -4, -10, -7, -7, -10, 2, -4, -6, -4 ], [ -4, -38, -24, -20, -6, -40, -1, -2, -2, -4, -3, -3, -4,\
 0, -2, -2, -2 ], [ -4, -34, -20, -20, -4, -32, -1, -2, -2, -6, -3, -3, -6, 2, -2, -2, -2 ], [ -3, -7, -6, -4, -6, -11, -2, -1, -1, 2, -2, -2, 3, -3, -2, \
-2, -2 ], [ -7, -68, -40, -32, -11, -76, -1, -4, -4, -6, -7, -7, -6, -2, -4, -6, -4 ], [ -1, -1, -1, -1, -2, -1, -4, -1, -1, 0, -1, -1, 2, -1, -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, -10, -4, -6\
, 2, -6, 0, -2, -2, -8, 0, 0, -4, 4, 2, 2, -2 ], [ -3, -7, -3, -3, -2, -7, -1, -1, -1, 0, -4, -3, 0, -1, -2, -4, -2 ], [ -3, -7, -3, -3, -2, -7, -1, -1, -\
1, 0, -3, -4, 0, -1, -2, -4, -2 ], [ 1, -10, -4, -6, 3, -6, 2, 0, 0, -4, 0, 0, -8, 4, 2, 2, 0 ], [ -1, 2, 0, 2, -3, -2, -1, 0, 0, 4, -1, -1, 4, -4, -2, -2\
, 0 ], [ -2, -4, -2, -2, -2, -4, -2, 0, 0, 2, -2, -2, 2, -2, -4, -4, 0 ], [ -4, -6, -2, -2, -2, -6, 0, 0, 0, 2, -4, -4, 2, -2, -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, 0, 2, 2, 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 ], [ 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, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 1, 0 ], [ 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, 0, 0, 0, 1, 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, -1, -1, 1, 0, 0, 0, 1, 0, 0, 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, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, -2, -4, 6, 2,\
 3, 2, 6, -3, -4, 1, -4, -5, 4, 2, 0, -9, -3, -2, -4, 0, 0, 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 1, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2,\
 0, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 1, -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, -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, 1, 0, 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, 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, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 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, 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 ] ], 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, 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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, \
0, 1, 0, 0, 1, 1, 0 ], [ 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 := [ 2, 1, 2, 3, 2, 1,\
 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, 0, -1, -1, 0, 1, 1, 1, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 2, 0, \
0, 0, -1, -1, 1, 1, -2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, -1, -1, 2, -2, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 2, 1 ], [ 1,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, -1, 1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, -1, 1, 1, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 1, -\
1, -1, 1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -2, 1, 1, -1, 2, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 2, -1, -1, 1, -2, -1 ], [ 0, 0, 0, 0, 0,\
 0, 1, 0, 0, 0, -1, 0, 1, 1, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, -1, 1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 1, 0 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
1, 1, -1, -1, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, -1, -1 ], [ -1, 0, 0, \
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, 0, -1, 1, \
0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0,\
 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [\
 -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 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, 1, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, 0, -1, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 0, -1, 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, 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,\
 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, 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, -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, 0, 0, 0, -1, 1, 0, 0, \
0, 1, 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, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, \
1, 1, -1, 0, 0, 0, -1, 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, 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 ], [ -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, 0, 0, 0 ], [ 0, 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, 0, 0 ], [ 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 := [ "D4", "D5" ], 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, 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, 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, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1 ] ], thegtilde := [ [ -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, 0, -1, 1, 0, -1, -2, 0, 0, 1, 0, -1, -1, -1, 0 ], [ -2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ -3, 0, 0, 1, 0\
, 0, 3, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -2, 0, 0, 1, 0, -2, -2, -2, 1 ], [ -2, 0, 0, 0, 1, 0, 2, 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, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -2, 0, 0, 1, 0, -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, -1, 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, 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, -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, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 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, 1, 1, 1, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -2, 0, 0, 2, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -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\
, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 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, -1, -1, 1, 0, 0, 1, 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, 0, 0, 0, -1, -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, 0, 0, 0, 1, -1, 0, 0, 0, 0\
, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 3, -4, -3, 6, 2, 3, 2, -2, -3, -4, 0, 4, 3, -5, -5, -2, -2, 4, -3, -9, -4, -4, 1 ], 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, -3, 3, 1, 0 ], [ 0,\
 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 1, -2, 2, 2, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -\
1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, \
0, 0, 0, -4, 1, -5, 4, 2, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 1, 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, 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, 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 ] ], embQperp := [ [ -2, 0, 1, 1, -1, 1, -1, 2, -4, 2, 1, 0, 0, -3, -1, -1, 0, 0, -1, -1, -3, 1, 1, 2, 2, 0 ], [ -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, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 1, 0, 1, -1, -1, 1, 0, -2, 4, -2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 3, -1, -1, -2,\
 -2, 2 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ -1, 0, 0, 0, 0, 2, -3, 4, -4, 2, -1, 0, 0, -4, 1, 1, -2, -\
1, -2, 0, -3, 1, 1, 0, 0, -3 ], [ 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 ], [ 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 := [ 2, 1, 2, 3, 2, 2, 2, 1, 0, 0 ], rlifts := [ [ 1, 0, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, -1, -1, 0, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, 0, -1, 1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, \
0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 0, 1, 0, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1 ], [ -1,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ -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, 1, -1,\
 0, 0, 0 ], [ -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 1, 1 ], [ 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 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, 1, 0, 0, 0, \
-1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1\
, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 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, 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, 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, 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, -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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 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, 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 ], [ -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, 0, 0, 0 ], [ 0, 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, 0, 0 ], [ 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", "D4", "D4" ], theg := [ [ -1, -1, -2, -3, -2, -2, -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 ], [ 2, 1, 2, 3, 3, 2, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, -1, -2, -3, -2, -2, -1, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, 1, 2, 3, 2, 2, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -3, 0, 0, 1, 0, 1, 0, 0, \
2, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, -1, -1, -2, -1, -1, 1 ], [ -2, 1, 0, 1, -1, 1, 0, 0, 1, 0, 1, 0, 0, -2, -1, -1, -1, -1, -1, -2, -1, -1, -1, 0, 0, \
2 ], [ -4, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, -1, -1, -2, -1, -1, 2 ], [ -6, 0, 0, 3, -1, 2, 0, 0, 3, 0, 1, 0, 0, -3, -1, -1, -2\
, -2, -1, -3, -2, -2, -3, -1, -1, 4 ], [ -5, 0, 0, 2, 0, 2, -1, 0, 3, 0, 0, 0, 0, -2, 0, 0, -2, -1, -1, -2, -2, -2, -3, -1, -1, 2 ], [ -3, 0, 0, 1, 0, 2, \
-1, 0, 2, 0, 1, 0, 0, -2, -1, -1, -1, -2, 0, -2, -1, -1, -1, 0, 0, 2 ], [ -2, 0, 0, 1, 0, 1, -1, 0, 2, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, -1, -1, -1, 0,\
 0, 1 ], [ -1, 0, 0, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, -2, 0, 0, -1, -1, -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, 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, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 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, 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, 2, 0, 0, 0, -2, -2, 1, 0, 0, -2, 0, 0, 1, 1, 1, 1 ], [ -1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1,\
 -1, -1, -1, 0, 0, 1 ], [ 0, 0, 0, 1, -2, 1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 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, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [\
 0, 0, 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, -289, -247, -203, -95, -327, -52, 6, 3, 3, -6\
, 2, 2, 11, 4, 2, 4 ], [ -289, -1680, -1430, -1168, -541, -1896, -302, 37, 20, 20, -32, 11, 11, 60, 16, 2, 32 ], [ -247, -1430, -1220, -996, -463, -1616, \
-258, 32, 18, 18, -24, 10, 10, 50, 14, 2, 28 ], [ -203, -1168, -996, -816, -379, -1320, -210, 25, 14, 14, -22, 9, 9, 42, 12, 4, 22 ], [ -95, -541, -463, -\
379, -178, -613, -98, 12, 7, 7, -8, 4, 4, 19, 6, 2, 10 ], [ -327, -1896, -1616, -1320, -613, -2148, -340, 44, 24, 24, -34, 16, 16, 68, 22, 8, 38 ], [ -52,\
 -302, -258, -210, -98, -340, -56, 7, 4, 4, -4, 1, 1, 10, 2, -2, 6 ], [ 6, 37, 32, 25, 12, 44, 7, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ 3, 20, 18, 14,\
 7, 24, 4, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ -6, -32, -24, -22, -8, -34, -4, 0, -\
2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 2, 11, 10, 9, 4, 16, 1, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ 2, 11, 10, 9, 4, 16, 1, -1, -1, -1, 0, -3, -4, -1, -2\
, -4, -2 ], [ 11, 60, 50, 42, 19, 68, 10, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ 4, 16, 14, 12, 6, 22, 2, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ 2, 2, 2\
, 4, 2, 8, -2, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ 4, 32, 28, 22, 10, 38, 6, -2, -2, -2, -2, -2, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 4, 0, \
0, -6, 2, 0 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 4, 0, 2, -8, 2, 4, 0, -2, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 0, 0, 0,\
 4, 2, -8, 4, 2, 0 ], [ -6, 0, 0, 0, 0, 4, -12, 2, 0 ], [ 2, 0, 0, -2, 0, 2, 2, -4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 2, -4 ] ], Sigma := [ [ 0, 0, 1, 1, -1, -1\
, -1, -1, 0, 0, -1, 1, 1, -2, 0, -1, -1 ], [ 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, 0, 0, 0, 1, -1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, \
0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -13, 2, 10, 10, -10, -12, 6, 18, 3, 2, -10, -3, -4, -7, 12, 11, -12, -22, -8, -1, 13, -2, -12, -8, -8, -\
4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 6, -3, -1, 0 ], [ 0, 1, 0, 0, 0, 3, 0, -12, -2, 0, 0, 0, 0, 0, 0, 0, \
4, 0, 1, 0, 9, 1, 29, -17, -7, 0 ], [ 0, 0, 1, 0, 0, 2, 0, -10, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 8, 1, 25, -15, -5, 0 ], [ 0, 0, 0, 1, 0, 1, 0, -8, -2\
, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 0, 21, -12, -4, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, -1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 10, -6, -2, 0 ], [ 0, 0, \
0, 0, 0, 4, 0, -14, -2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 10, 0, 33, -20, -8, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 5,\
 -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, -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, 1, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ -1, 0, 1, 1, -3, 3, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, \
0, 0, -1, -2, 0, 0, 3 ], [ -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, 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, 1, 0, -2, 4, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -1, -3, 1, 2, 0, 0, -3 ], [ 0, 0, 1, -1, 0, 1, -1\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 4, -4, 2, 0, 0, 0, 0, 3, 0, 0, 1, -1, 2, 1, 3, -1, -2, 1, 1, 2 ], [ 0,\
 0, 0, 0, -2, 4, -2, 0, 0, 0, -2, 0, 0, -2, 2, 2, -4, 0, -2, 1, 0, -1, -2, -2, -2, 0 ], [ -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 := [ 8, 5, 10, 15, 14, 13, 10, 6, 4, 2 ], \
rlifts := [ [ 0, 0, 1, 1, -1, -1, -1, 2, 0, 0, -1, 0, 0, -1, 1, 1, -1, -2, -1, 0, 1, 0, 0, 0, 0, -1 ] ], rootsQ := [ [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, \
-1, 0, 2, 0, 1, 0 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 0, -2, 0, -1, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, -2, -1, 2, 0, 2, 1 ], [ -1, 0, 1, \
1, -1, -1, 0, -1, 0, 0, -1, 2, 1, -2, 0, -2, -1 ], [ 1, 0, -1, -1, 1, 1, 0, 0, 0, 0, 1, -1, -1, 2, 1, 1, 1 ], [ -1, 0, 1, 1, -1, -1, 0, 0, 0, 0, -1, 1, 1,\
 -2, -1, -1, -1 ], [ 0, 0, -1, -1, 1, 1, 1, 1, 0, 0, 1, -1, -1, 2, 0, 1, 1 ], [ 0, 0, 1, 1, -1, -1, -1, -1, 0, 0, -1, 1, 1, -2, 0, -1, -1 ], [ 2, 0, -1, -\
1, 1, 1, -1, 1, 0, 0, 1, -1, -1, 2, 0, 2, 0 ], [ -2, 0, 1, 1, -1, -1, 1, -1, 0, 0, -1, 1, 1, -2, 0, -2, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 2, 0, 0, 1, -1, -1, \
2, -1, 2, 0 ], [ -1, 0, 1, 1, -1, -1, 0, -2, 0, 0, -1, 1, 1, -2, 1, -2, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, 0, -1, 2, 0, 1, 0 ], [ -1, 0, 1, 1, -1, \
-1, 0, -1, 0, 0, -1, 0, 1, -2, 0, -1, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, -1, -2, 2, 0, 2, 1 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 2, -2, 0,\
 -2, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 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, 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, 0, -1, -1, \
1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 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, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 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, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, \
0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1, -1, 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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, \
0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 1 ], [ 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, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [\
 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0\
, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 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, 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, 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,\
 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], theg \
:= [ [ -7, -5, -10, -15, -14, -13, -10, -6, -4, -2 ], [ 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, 12\
, 8, 4 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ -16, -10, -20, -30, -28, -25, -20, -12, -8, -4 ], [ -8, -5, -10, -15, -14, -13, -9, -6, -4, -2 ], [ 16, 10, \
20, 30, 28, 26, 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 := [ [ -11, 0, 10, 10, -10, -10, 2, 20, 0,\
 0, -10, 0, 0, -10, 10, 10, -10, -20, -10, 0, 10, 0, -6, -6, -6, -5 ], [ -8, 1, 7, 7, -7, -7, 1, 14, 0, 0, -6, 0, 0, -8, 7, 6, -7, -15, -7, -1, 7, 0, -4, \
-4, -4, -3 ], [ -14, 0, 13, 12, -12, -12, 2, 24, 0, 0, -12, 0, 0, -12, 12, 12, -12, -24, -12, 0, 12, 0, -7, -7, -7, -5 ], [ -22, 0, 19, 20, -19, -19, 3, 3\
8, 0, 0, -18, 0, 0, -20, 19, 18, -19, -39, -19, -1, 19, 0, -11, -11, -11, -8 ], [ -20, 0, 18, 18, -17, -18, 2, 36, 0, 0, -18, 0, 0, -18, 18, 18, -18, -36,\
 -18, 0, 18, 0, -10, -10, -10, -9 ], [ -16, 0, 15, 15, -15, -14, 1, 30, 0, 0, -14, 0, 0, -16, 15, 14, -15, -31, -15, -1, 15, 0, -8, -8, -8, -7 ], [ -12, 0\
, 12, 12, -12, -12, 1, 24, 0, 0, -12, 0, 0, -12, 12, 12, -12, -24, -12, 0, 12, 0, -6, -6, -6, -6 ], [ -6, 0, 6, 6, -6, -6, 0, 13, 0, 0, -6, 0, 0, -7, 6, 6\
, -6, -13, -6, 0, 6, 0, -3, -3, -3, -4 ], [ -6, 0, 6, 6, -6, -6, 0, 12, 1, 0, -6, 0, 0, -6, 6, 6, -6, -12, -6, 0, 6, 0, -3, -3, -3, -3 ], [ -2, 0, 2, 2, -\
2, -2, 0, 4, 0, 1, -2, 0, 0, -3, 2, 2, -2, -5, -2, 0, 2, 0, -1, -1, -1, -2 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -3, 0, 0, -2, 2, 2, -2, -4, -2, 2, 2, 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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, -2, -2, 2, 2, 0, -4, 0, 0, 2, 0, 0, 1, -2, -2, 2, 2, 2, 0, -2, 0, 1, 1, 1, 1 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -2, \
0, 0, -2, 3, 2, -2, -4, -2, 0, 2, 0, -1, -1, -1, -2 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -2, 0, 0, -2, 2, 1, -2, -4, -2, 0, 2, 0, 0, 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 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -2, 0, 0, -2, 2, 2, -2, -3, -2, 0, 2, 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, 1, 0, 0, 0, 0 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -2, 0, 0, -2, 2, 2, -2, -4, -2, 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, 0, 0, 0, 0, 1, 0, 0 ], [ -2, 0, 2, 2, -2, -2, 0, 4, 0, 0, -2, 0, 0, -2, 2, 2, -2, -4, -2, 0, 2, 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, -1 ] ] ), rec( GramQ := [ [ -4, 15, 11, 7, 1, 23, -8, -1, -1, -1, 0, -3, -3, -1, \
-2, -4, -2 ], [ 15, -716, -547, -376, -152, -869, 209, 23, 12, 12, -26, 13, 13, 42, 16, 14, 20 ], [ 11, -547, -420, -288, -118, -665, 160, 18, 10, 10, -17\
, 10, 10, 31, 12, 10, 16 ], [ 7, -376, -288, -200, -81, -456, 110, 11, 6, 6, -14, 7, 7, 22, 8, 8, 10 ], [ 1, -152, -118, -81, -36, -183, 43, 5, 3, 3, -3, \
1, 1, 8, 2, 0, 4 ], [ 23, -869, -665, -456, -183, -1066, 261, 30, 16, 16, -29, 20, 20, 51, 24, 24, 26 ], [ -8, 209, 160, 110, 43, 261, -68, -7, -4, -4, 7,\
 -7, -7, -13, -8, -10, -6 ], [ -1, 23, 18, 11, 5, 30, -7, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, 12, 10, 6, 3, 16, -4, -1, -2, -1, -2, -1, -1, 0, 0\
, 0, -2 ], [ -1, 12, 10, 6, 3, 16, -4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 0, -26, -17, -14, -3, -29, 7, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -3, 13\
, 10, 7, 1, 20, -7, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -3, 13, 10, 7, 1, 20, -7, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -1, 42, 31, 22, 8, 51,\
 -13, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, 16, 12, 8, 2, 24, -8, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, 14, 10, 8, 0, 24, -10, 0, 0, 0, 2, -4,\
 -4, -2, -4, -8, 0 ], [ -2, 20, 16, 10, 4, 26, -6, -2, -2, -2, -2, -2, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 8, 0, -4, 0, 0, 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, 0, -2 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ -4, 0, 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 ], [ 2, 0, 0, -2, 0, 2, 0, 2, -4 ] ], Sigma := [ [ -1, 0, 1, 1, -1, -1, 0, -1, 1, 1, -2, 1, 1, -3,\
 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 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, 1, \
0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 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, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, -1, -1, 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, 1, -1, 0, 0, 0, 0, 0, 0, \
0 ] ], adjweyl := [ -13, 2, 10, 10, -10, -12, 14, 2, 3, 18, -10, -3, -4, -7, 12, 11, -12, -22, 0, -1, 13, -10, -24, -4, -4, -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, 1, 0, 0, 0, 3, -6, 0, 0, -8, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 5, 1, 26, -14, -8, 0\
 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 4, 1, 20, -11, -5, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 1, 0, -2,\
 0, 3, 0, 14, -7, -3, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 1, 6, -3, -1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 0, -10, 0, 0,\
 0, 0, 0, 0, 3, 0, -3, 0, 6, 0, 32, -18, -10, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 1, -8, 5, 3, 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, 0, 0, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, \
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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ -2, 0, 2, 2, -4, 2, 0, 0, 0, -4, 2, 0, 0, 0, -2, -2, 0, 2, -2, -1, 0, 1, 1, 1, 1, 6 ], [ -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, 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, 1, 0, 0, 0, -2, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, -3, -1, -1, 1, 1, -3 ], [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 2, -4, 0, 0, 0, 3, 0, 0, 1, -1, 0, 1, 3, 1, 1, 0, 0, 2 ], [ 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 ] ], r := [ 8, 5, 10, 15, 14, 13, 10, 7, 4, 1 ], rlifts := [ [ -1, 0, 1, 1, -1, -1,\
 1, 0, 0, 2, -1, 1, 1, -2, 1, 1, -1, -3, 0, 0, 1, -1, -2, 0, 0, -1 ] ], rootsQ := [ [ -1, 0, 1, 1, -1, -1, 0, -1, -1, -1, 0, 1, 1, -1, 0, -1, 0 ], [ 1, 0,\
 -1, -1, 1, 1, 0, 1, 1, 1, 0, -1, -1, 1, 0, 1, 0 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 1, -2, 0, -1, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, -1,\
 -1, 2, 0, 1, 0 ], [ -1, 0, 1, 1, -1, -1, 0, -1, -1, 0, -1, 1, 1, -2, 0, -1, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 1, 0, 1, -1, -1, 2, 0, 1, 0 ], [ -1, 0, 1, 1\
, -1, -1, 0, -1, 0, -1, -1, 1, 1, -2, 0, -1, 0 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 1, 1, -1, -1, 2, 0, 1, 0 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 0, 1, -1, 1, 1,\
 -2, 0, -1, -1 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, -1, 1, -1, -1, 2, 0, 1, 1 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 1, 0, -1, 1, 1, -2, 0, -1, -1 ], [ 1, 0, -1, -\
1, 1, 1, 0, 1, -1, 0, 1, -1, -1, 2, 0, 1, 1 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 1, -2, 0, -1, -1 ], [ 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, 1, -1, -1,\
 2, 0, 1, 1 ], [ -1, 0, 1, 1, -1, -1, 0, -1, 1, 1, -2, 1, 1, -3, 0, -1, -1 ], [ 1, 0, -1, -1, 1, 1, 0, 1, -1, -1, 2, -1, -1, 3, 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, 1, 0, 0, 0, -1, -1 ], [ -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, 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 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 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\
, -1, 0, 0, 0, -1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 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, 1, -1, 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
1, 1, -1, 0, 0, -1, 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, 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 ], [ -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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], theg := [ [ -7, -5, -10, -15, -14, -1\
3, -10, -7, -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, 26, 20, 14, 8, 2 ], [ 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0 ], [ -16, -10, -20, -30, -28, -25, -20, -14, -8, -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 ], [ 16, 10, 20, 30, 28, 26, 20, 14, 8, 3 ] ], thegtilde := [ [ -11, 0, 10, 10, -10, -10, 12, 0, 0, 20, -10, 0, 0, -10, 10, 10, -10, -20, 0, 0, 1\
0, -10, -21, -1, -1, -5 ], [ -8, 1, 7, 7, -7, -7, 8, 0, 0, 14, -6, 1, 0, -8, 6, 6, -7, -15, 0, -1, 7, -7, -14, 0, 0, -3 ], [ -14, 0, 13, 12, -12, -12, 14,\
 0, 0, 24, -12, 0, 0, -12, 12, 12, -12, -24, 0, 0, 12, -12, -25, -1, -1, -5 ], [ -22, 0, 19, 20, -19, -19, 22, 0, 0, 38, -18, 1, 0, -20, 18, 18, -19, -39,\
 0, -1, 19, -19, -39, -1, -1, -8 ], [ -20, 0, 18, 18, -17, -18, 20, 0, 0, 36, -18, 0, 0, -18, 18, 18, -18, -36, 0, 0, 18, -18, -37, -1, -1, -9 ], [ -16, 0\
, 15, 15, -15, -14, 16, 0, 0, 30, -14, 1, 0, -16, 14, 14, -15, -31, 0, -1, 15, -15, -30, 0, 0, -7 ], [ -12, 0, 12, 12, -12, -12, 13, 0, 0, 24, -12, 0, 0, \
-12, 12, 12, -12, -24, 0, 0, 12, -12, -24, 0, 0, -6 ], [ -7, 0, 7, 7, -7, -7, 7, 1, 0, 14, -7, 1, 0, -8, 7, 7, -7, -15, 0, 0, 7, -7, -14, 0, 0, -5 ], [ -6\
, 0, 6, 6, -6, -6, 6, 0, 1, 12, -6, 0, 0, -6, 6, 6, -6, -12, 0, 0, 6, -6, -12, 0, 0, -3 ], [ -1, 0, 1, 1, -1, -1, 1, 0, 0, 3, -1, 1, 0, -2, 1, 1, -1, -3, \
0, 0, 1, -1, -2, 0, 0, -2 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 0, 4, -3, 0, 0, -2, 2, 2, -2, -4, 0, 2, 2, -2, -3, 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, -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 ], [ 2, 0, -2, -2, 2, 2,\
 -2, 0, 0, -4, 2, 2, 0, 1, -2, -2, 2, 2, 0, 0, -2, 2, 4, 0, 0, 0 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 0, 4, -2, 0, 0, -2, 1, 2, -2, -4, 0, 0, 2, -2, -3, 1, 1, \
-1 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 0, 4, -2, 0, 0, -2, 2, 1, -2, -4, 0, 0, 2, -2, -3, 1, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 1, 0\
, 0, -2, 0, 0, 1, 1, 1, 1 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 0, 4, -2, 0, 0, -2, 2, 2, -2, -3, 0, 0, 2, -2, -4, 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 ], [ -2, 0, 2, 2\
, -2, -2, 2, 0, 0, 4, -2, 0, 0, -2, 2, 2, -2, -4, 0, 0, 2, -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 ], [ -2, 0, 2, 2, -2, -2, 2, 0, 0, 4, -2, 0, 0, -2, 2, 2, -2, -4, 0, 0, 2, -2, -4, 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 := [ [ -4, -5, -2, -3, -2, -4, -1, -1, -1, -1, 0, -3, -3, -1, -2, -4, -2 ], [ -5, -380, -280, -204, -77, -428, \
96, -1, -4, -4, -38, -3, -3, 30, 0, -2, -4 ], [ -2, -280, -210, -152, -58, -317, 73, 0, -2, -2, -27, 0, 0, 23, 2, 2, -2 ], [ -3, -204, -152, -112, -43, -2\
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,\
 -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, -38, -27, -20, -7, -43, 9, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -3, -3, 0, -1, -1, -2, -1, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [\
 -3, -3, 0, -1, -1, -2, -1, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -1, 30, 23, 16, 6, 35, -9, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, 0, 2, 0, 0, \
2, -2, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, 0, -2, -2, -2, -2, -\
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\
, 0, 0, 0, 0 ], [ 4, 0, -4, 2, -8, 8, -2, 0, 0 ], [ -6, 0, 6, 0, 8, -12, 4, 0, 0 ], [ 2, 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 ] ], Sigma := [ [ 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 ],\
 [ -1, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 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, 1,\
 -1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0,\
 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 0, 0, -1, 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 ] ], adjw\
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, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -3, 0, 5, 1, 16, -8, -6, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 4, 0, 13, -7, -4, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 3, 0, 9, -4, -2, 0 ], [ 0,\
 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 4, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -3, 0, 6, 1, 1\
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, \
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, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], 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\
, 0, 0, 1, -2, 1, -2, 4, -2, 0, -2, 0, 0, -3, 2, 2, -3, -1, -4, 0, -1, 0, 0, -1, -1, -2 ], [ 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 := [ 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\
, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 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, 1, -1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 1, 0, 0, -1, 0, -1 ], [ 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, 0, 0, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ -1, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ], [ 1, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, -1, -1 ], [ -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, 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 ], [ -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, 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 ], [ -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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0\
, 0, 0 ], [ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 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, 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, 0 ], [ 0, 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 ] ], roo\
tstypeQ := [ "A1", "A1", "D4", "D4" ], 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, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 4, 2, 4, 7, 7, 6, 4, 3, 2, 1 ], [ -8, -4, -8, -14, -12, -11, -8, -6, -4, -2 ], [ 4, 2, 4, 7, 6, 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, 2, 2, 2, -2, -4, 6, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -3, 1, 1, 2 ], [ -1, 2, 0, 0, 0, -1, 2, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -2, 0, -1, 0, 0, -1, 1, 0, 1 ], [ -4, 2, 3\
, 2, -2, -4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -3, 1, 1, 3 ], [ -6, 4, 3, 4, -3, -7, 10, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -8, 0, -1, 3, 0, \
-5, 3, 2, 5 ], [ -5, 3, 3, 3, -2, -6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 3, 0, -4, 2, 2, 3 ], [ -3, 1, 2, 2, -2, -2, 4, 0, 0, 0, 1, 0, 0, -1, -1, \
-1, 0, -4, 0, -1, 2, 0, -1, 1, 2, 3 ], [ -1, 2, 1, 1, -1, -3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1, 0, -2, 2, 1, 1 ], [ -1, 1, 1, 1, -1, -2, 2, 1,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, -3, 0, 0, 1, 0, -1, 1, 1, 0 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0 ], [ 0, 1, 0\
, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, -1 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 2\
, 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 ], [ 0, 0, 0, 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, 2, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0 ], [ 1, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1 ], [ 1, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1 ], [ 0, -2, 0, 0, 0, 2, -2\
, 0, 0, 0, 2, 0, 0, 0, -2, -2, 1, 2, 0, -2, 0, 0, 3, -1, 1, 1 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, 2, 0, 0 ], [ 0,\
 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, 1, 0, 0, 0, -1, 1, 0, 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, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, 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, 1, -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, 0, 0, 0 ], [ 1, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -30, -64, -39, -111, -62, -99, -27, 0, -1, -1, 4, 0, 0, -5, 2, 2, -2 ], [ \
-64, -146, -86, -250, -138, -227, -61, 0, -2, -2, 9, 0, 0, -13, 2, 2, -2 ], [ -39, -86, -54, -150, -83, -133, -37, 1, 0, 0, 7, 1, 1, -7, 2, 2, 0 ], [ -111\
, -250, -150, -432, -239, -390, -106, 1, -2, -2, 18, 1, 1, -22, 4, 4, -2 ], [ -62, -138, -83, -239, -134, -217, -59, 0, -1, -1, 12, 0, 0, -13, 2, 2, -2 ],\
 [ -99, -227, -133, -390, -217, -360, -97, 1, -2, -2, 19, -1, -1, -23, 2, 0, -2 ], [ -27, -61, -37, -106, -59, -97, -28, 1, 0, 0, 6, -1, -1, -6, 0, -2, 0 \
], [ 0, 0, 1, 1, 0, 1, 1, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -2, 0, -2, -1, \
-2, 0, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 4, 9, 7, 18, 12, 19, 6, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 0, 0, 1, 1, 0, -1, -1, -1, -1, -1, 0, -4, -3\
, -1, -2, -4, -2 ], [ 0, 0, 1, 1, 0, -1, -1, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -5, -13, -7, -22, -13, -23, -6, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0\
 ], [ 2, 2, 2, 4, 2, 2, 0, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ 2, 2, 2, 4, 2, 0, -2, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -2, 0, -2, -2, -2, 0, \
-2, -2, -2, -2, -2, -2, 0, 0, 0, -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, -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, -1, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1,\
 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 1, 0, 0, \
-1, 0, 0, 0, 1, 1, -2, 0, 0, -2, 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, -10, 4, 6, 2, 3, 2, -2, -\
3, -4, -7, 4, 3, -12, -14, 0, -1, 5, -2, -16, -4, -4, 4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0 ], [\
 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -7, 0, 4, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-3, -1, 3, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -11, 0, 8, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, -6, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 1, -12, 1, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 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, -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, 1, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ -3, -1, 3, 2, -3, 1, 0, 0,\
 -2, 0, 2, 0, 0, -1, -2, -2, 1, 3, -2, -2, -2, 0, 1, 2, 2, 4 ], [ 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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -\
1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 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 := [ 4, 1,\
 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, -2, 0, 0, -1, -2, 0, 0, 0, 0, -1, 0, 0, 0 ] ], rootsQ := [ [ 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, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0\
, -1, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 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, -1, 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, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 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, 0, 0, 1, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, 0, 1, 0, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -\
1, 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, 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, 0, 0, 0, 0, 0, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0\
, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1 ], [ 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0\
, -1, 0, 0, 1 ], [ 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 1 ], [ 0, -1, 0, 0, 1, 0, \
0, 0, 0, 1, 1, 0, 0, 1, 0, 0, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0,\
 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, -1, 0, 0, 1, 0, 0,\
 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -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, 0, 0, -1, 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, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 1, 1, -2, 0, 0, -2, 0, 0, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 0, -1,\
 -1, 2, 0, 0, 2, 0, 0, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ], [ 0, -1, 0, \
0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0,\
 0 ], [ 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, -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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], 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, 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, 4, 0, 0, -4, 4, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, -5, -1, -1, 2 ], [ -1, 2, 0, 0, -1, 1, 1,\
 0, 0, 0, 1, 1, 0, -2, -1, -1, -1, -2, 0, -1, 0, 0, -1, 0, 0, 1 ], [ -2, 6, 1, 0, -6, 6, 2, 0, 0, 0, 0, 0, 0, -6, 0, 0, -6, -6, 0, 0, 0, 0, -7, -1, -1, 4 \
], [ -3, 7, 0, 1, -7, 7, 3, 0, 0, 0, 1, 1, 0, -8, -1, -1, -7, -8, 0, -1, 0, 0, -8, -1, -1, 5 ], [ -2, 8, 0, 0, -7, 8, 2, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, -\
8, 0, 0, 0, 0, -9, -1, -1, 4 ], [ -1, 5, 0, 0, -5, 6, 1, 0, 0, 0, 1, 1, 0, -6, -1, -1, -5, -6, 0, -1, 0, 0, -5, 0, 0, 3 ], [ 0, 6, 0, 0, -6, 6, 1, 0, 0, 0\
, 0, 0, 0, -6, 0, 0, -6, -6, 0, 0, 0, 0, -6, 0, 0, 3 ], [ 0, 3, 0, 0, -3, 3, 0, 1, 0, 0, 0, 1, 0, -4, 0, 0, -3, -4, 0, 0, 0, 0, -3, 0, 0, 0 ], [ 0, 4, 0, \
0, -4, 4, 0, 0, 1, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, -4, 0, 0, 2 ], [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, -1, -2, 0, 0, 0, 0, -1, 0,\
 0, -1 ], [ 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, -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, -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, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 1\
, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2 ], [ 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0, -1, 1, 1, 1 ], [ 0, 2, 0, 0, -2, 2, 0, 0\
, 0, 0, 0, 0, 0, -2, 0, -1, -2, -2, 0, 0, 0, 0, -1, 1, 1, 1 ], [ 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, -2, -2, 3, 2, 0, -2, 0, 0, 3, 1, 1, 0 ], [ 0,\
 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -1, 0, 0, 0, 0, -2, 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, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0,\
 -2, -2, 0, 0, 0, 0, -1, 0, 0, 1 ], [ 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, -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, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 11, 5, 1, 1, 18, 3, -1, -1, -8, 1, 1, 7, 2, 2, 4, -2 ], [ 11, -164, -94, -56, -35, -225, -35, -4, -4, 50, -17, -17, -58, -18, -18, -30, -4 ], [ 5, -\
94, -56, -34, -21, -128, -19, -2, -2, 28, -9, -9, -32, -10, -10, -16, -2 ], [ 1, -56, -34, -24, -13, -72, -11, -2, -2, 12, -5, -5, -16, -6, -6, -8, -2 ], \
[ 1, -35, -21, -13, -10, -49, -8, -1, -1, 12, -4, -4, -13, -4, -4, -6, -2 ], [ 18, -225, -128, -72, -49, -318, -49, -4, -4, 78, -24, -24, -86, -25, -25, -\
44, -4 ], [ 3, -35, -19, -11, -8, -49, -12, -1, -1, 14, -5, -5, -15, -6, -4, -8, -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 ], [ -8, 50, 28, 12, 12, 78, 14, -2, -2, -32, 6, 6, 28, 8, 8, 14, -2 ], [ 1, -17, -9, -5\
, -4, -24, -5, -1, -1, 6, -4, -3, -7, -2, -2, -4, -2 ], [ 1, -17, -9, -5, -4, -24, -5, -1, -1, 6, -3, -4, -7, -2, -2, -4, -2 ], [ 7, -58, -32, -16, -13, -\
86, -15, 0, 0, 28, -7, -7, -28, -8, -8, -14, 0 ], [ 2, -18, -10, -6, -4, -25, -6, 0, 0, 8, -2, -2, -8, -4, -2, -4, 0 ], [ 2, -18, -10, -6, -4, -25, -4, 0,\
 0, 8, -2, -2, -8, -2, -4, -4, 0 ], [ 4, -30, -16, -8, -6, -44, -8, 0, 0, 14, -4, -4, -14, -4, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, -2, -2, -2, -2, -2, \
-2, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -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, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ], [ -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, \
-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, -1, -1, 1, 0, 0, 1, 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, 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, 0 ] ], adjweyl := [\
 -6, 1, 3, 2, -1, -5, 6, 2, 3, 2, -2, -3, -4, 2, 4, 3, -3, -5, 0, -1, 5, -2, -7, -4, -4, 0 ], embQ := [ [ 1, 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 0, 0, 7, -2, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 3, 0, 0,\
 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 3, 1, 0 ], [ 0, 0, 0, 0, 1, 0,\
 -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -4, 0, 0, 10, -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, -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, 1\
, 0, 0, -3, 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, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 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, 1, 0, 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, -1, 0 ], [ 0, 0, 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 := [ [\
 -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, -3, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 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, 0, 0, 0, 0, -1 ], [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 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, 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 \
], [ 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, 1, 0, 0, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1,\
 0, 0, 1, 0, 1, 1 ], [ -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, 0, 1, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, 0, 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, 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, 0, -1, 0, -1, 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, 1, 1, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1 ], [ -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, 0, 1, 0, 0, 0, 0, -1, 0 ], [ 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ], [ 0, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 2, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, -\
1, 0 ], [ 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0 ], [ -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0 ], [ 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 ], [ 0, 0, 0, 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 ], [ 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, 1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0\
, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 1, 2, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 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, 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, 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, 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, \
0, 0, 0, 0 ], [ 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",\
 "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, \
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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1\
, 0 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], [ -1, 1, 0, 0, -1, 1, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1\
, 0, 0, 0, 0, -2, -1, -1, 1 ], [ -3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, 2 ], [ -1, 3, -2, 0, 0, 1, 2, 0, 0, 0\
, 0, 0, 0, -2, 0, 0, -2, -1, -1, -1, -1, -1, -3, -1, -2, 0 ], [ -1, 6, -3, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -4, -1, -1, -3, -1, -3, -4, -3, -3, -3, 0, -3, 1 \
], [ 1, 3, -2, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -1, -1, -1, -1, -1, -2, 0, -1, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, -1, -1\
, -1, -1, -1, -1, -1, 0, -1, -1 ], [ 1, 1, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 2, 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 ], \
[ -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, -1, -1, 0, 0, -1, 0 ], [ 1, 3, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -2, -1, -\
1, -1, -1, -1, -1, 1, 0, 0 ], [ 1, 3, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -2, -1, -1, -1, -1, -1, -1, 1, 0, 0 ], [ -1, 3, -1, 0, 1, -1, 0, 0, 0,\
 0, 2, 0, 0, -1, -2, -2, 0, 1, -2, -4, -2, -2, 0, 1, -1, 1 ], [ 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 0, 1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0\
 ], [ 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, \
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, -\
2, 0, 0, -2, -1, -1, -1, -1, -1, -2, 1, -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, 0, 0 ], [ 0, 0, 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, -14, -11, -6, -24, 3, -1, -1, -1, 0, -3, -3, -1, -2, -4\
, -2 ], [ -21, -396, -274, -200, -91, -462, 74, -17, -20, -20, -38, -19, -19, 6, -8, -10, -28 ], [ -14, -274, -192, -140, -64, -320, 52, -12, -14, -14, -2\
7, -12, -12, 5, -4, -4, -20 ], [ -11, -200, -140, -104, -47, -232, 38, -9, -10, -10, -20, -9, -9, 4, -4, -4, -14 ], [ -6, -91, -64, -47, -24, -108, 17, -5\
, -5, -5, -7, -5, -5, 0, -2, -2, -8 ], [ -24, -462, -320, -232, -108, -544, 86, -20, -24, -24, -43, -22, -22, 5, -8, -10, -34 ], [ 3, 74, 52, 38, 17, 86, \
-16, 3, 4, 4, 9, 3, 3, -3, 0, 0, 6 ], [ -1, -17, -12, -9, -5, -20, 3, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -20, -14, -10, -5, -24, 4, -1, -2, -1,\
 -2, -1, -1, 0, 0, 0, -2 ], [ -1, -20, -14, -10, -5, -24, 4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 0, -38, -27, -20, -7, -43, 9, 0, -2, -2, -8, 0, 0, 4\
, 2, 2, -2 ], [ -3, -19, -12, -9, -5, -22, 3, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -3, -19, -12, -9, -5, -22, 3, -1, -1, -1, 0, -3, -4, -1, -2, -4, \
-2 ], [ -1, 6, 5, 4, 0, 5, -3, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, -8, -4, -4, -2, -8, 0, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -10, -4, -4,\
 -2, -10, 0, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -28, -20, -14, -8, -34, 6, -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 ], [ 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, 0, 0, 0\
, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 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, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 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, 0, 0, 0, 1, -1, 0, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 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, -1, -1,\
 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, -2, -4, 6, 2, 5, -2, -2, -3, -4, 3, 4, 3, -4, \
-6, 0, 0, 7, -1, -7, -5, -5, 2 ], 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, 1, 0, 0, 0, 3, -6, 0, \
0, 8, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 1, 0, 4, 2, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 0, 6, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 1, 2, 2, 0 ], [ 0, 0, 0, \
1, 0, 1, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0\
 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 0, 10, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -4, 1, -1, 5, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], 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, 0, 1, 0, 0, 1, 1, 0, 0, 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, 0, 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, -1 ], [ 0, 0, 1, -1, 0, 1,\
 -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 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 ], [ -2, 0, 0, 0, 2, 0, -2, 4, -4, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 1, -2, 3, 3, 1, 1, -2 ] ], r := [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], rlif\
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\
, 1, 1, 0, 0, 0, 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, -1, 0, 0, 1, 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, -1, -1, 0\
, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0,\
 0, 0, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 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, -1, 0, 0, 0, -1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 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, 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,\
 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1\
, 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, 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 ], [ -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, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 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, 0, 0, 0, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 1, 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, -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 ] ], rootstypeQ := [ "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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0,\
 -1, 0, 0, 0, 0, 0, 1 ], [ -2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ -3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 0, 0, -\
1, -1, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, 2 ], [ -2, 0, 0, 0, 1, 0, 2, 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,\
 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, 1, -1, 1, 1, 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 ], [ 0,\
 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 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, 0, 0, -1, 0, -1, 1, \
-1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 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, 0, -1, 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, 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, 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, 2, 0, 0, 0, -2, -2, 1, 0, 0, -1, 0, 1, 0, 2, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 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,\
 -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,\
 -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 := [ [ -4, -9, -5, -5, -3, -9, -3, -1, -1, -1, 0, -3, -3, -1, -2, -4, -2 ], [ -9, -60, -36,\
 -28, -13, -68, -7, -5, -4, -4, -2, -7, -7, -6, -8, -10, -4 ], [ -5, -36, -24, -18, -9, -42, -2, -3, -2, -2, 0, -3, -3, -4, -4, -4, -2 ], [ -5, -28, -18, \
-16, -7, -30, -4, -3, -2, -2, -2, -3, -3, -2, -4, -4, -2 ], [ -3, -13, -9, -7, -6, -17, 0, -2, -1, -1, 2, -2, -2, -3, -2, -2, -2 ], [ -9, -68, -42, -30, -\
17, -84, -3, -5, -4, -4, 2, -7, -7, -10, -8, -10, -4 ], [ -3, -7, -2, -4, 0, -3, -16, -2, -4, -4, -9, -3, -3, 3, 1, 0, -6 ], [ -1, -5, -3, -3, -2, -5, -2,\
 -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -4, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -4, -1, -1, -2, -2\
, -1, -1, 0, 0, 0, -2 ], [ 0, -2, 0, -2, 2, 2, -9, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -3, -7, -3, -3, -2, -7, -3, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2\
 ], [ -3, -7, -3, -3, -2, -7, -3, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -1, -6, -4, -2, -3, -10, 3, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, -8, -\
4, -4, -2, -8, 1, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -10, -4, -4, -2, -10, 0, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, -6, \
-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 ], [ 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, 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, \
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, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 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, 0, 0, 0, 1, 0, 1 ], [ 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, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 \
] ], 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\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 1, -4, 4, 2, 0 ], [ 0, 0, 1, 0, 0,\
 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, -2, 2, 2, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 2, 2, 0 ]\
, [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -4,\
 1, -6, 5, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 0, 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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], 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,\
 0, 1, 0, 0, 1, 1, 0, 0, 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, 0, 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, -1 ], [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0,\
 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 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, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -3, 1, 1, 0 ], [ -1, 0, 0, 0, 1, 0, -1, 2, 1, -6, 0, 0, 0, 2, 0, 0, \
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,\
 -1, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 1, 0, 0, 0, 0, 0, 1 ], [ 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, 0, 0, 1 ], [ -1, 0, 0, 0, \
1, 0, 1, 0, 0, 0, -1, 0, 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, 1, 0, 0, 0, 0, 1, 0, -1, 0, -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, 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, -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, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 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, 1, 0, 0, 0, 1, 0, 0, -1\
, 0, -1 ], [ 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, 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 ], [ 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 ], [ 0, 0, 0, 0, \
0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 \
], [ 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 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, -1, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -\
1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -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, 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, 0 ], [ 0, 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 ] ], rootstyp\
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, \
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 ] ], thegtilde := [ [ -2, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, \
0, 0, -1, 0, 0, -1, -1, -1 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], [ -3, 0, 1, 0, 1, 0, 1, 1, -1, 1, 0,\
 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0 ], [ -4, 0, 0, 1, 1, 0, 2, 1, -1, 1, 1, 0, 0, -2, -1, -1, 0, -2, 0, -1, -1, 0, 0, -1, -1, 1 ], [ -3, 0, \
0, 0, 2, 0, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, -1 ], [ -1, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, 0, 0, -2, -1, -1, 0, -1, 0, -1, -1, \
1, 0, 1, 1, 0 ], [ -1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0\
, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 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, 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 ], [ 1, 0, 0, 0, -1, 0, 1, 0, -1, 0, 2, 0, 0, 0, -2, -2, 1, 1,\
 0, -2, 0, 1, 0, 2, 2, 1 ], [ -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -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, \
-143, -502, -68, 9, 14, 14, 38, 1, 1, -18, -12, -20, 22 ], [ -37, -219, -185, -143, -78, -267, -36, 4, 7, 7, 22, 0, 0, -11, -6, -10, 10 ], [ -127, -783, -\
653, -502, -267, -952, -125, 16, 24, 24, 72, 0, 0, -38, -22, -38, 38 ], [ -17, -103, -88, -68, -36, -125, -18, 3, 4, 4, 10, 1, 1, -4, -2, -4, 6 ], [ 2, 13\
, 12, 9, 4, 16, 3, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1\
, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 10, 58, 50, 38, 22, 72, 10, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ -2, -1, 2, 1, 0, 0, 1, -1, -1, -1, 0, -4, -3, -1,\
 -2, -4, -2 ], [ -2, -1, 2, 1, 0, 0, 1, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -5, -30, -24, -18, -11, -38, -4, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], \
[ -4, -20, -14, -12, -6, -22, -2, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -8, -34, -24, -20, -10, -38, -4, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ 4, 32, 2\
8, 22, 10, 38, 6, -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 ], [ 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, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, \
0, 1, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -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, 0, 0, 1, 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, -1, -1, 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, 1, -1, 0, 0,\
 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, -2, -4, 8, -2, 5, 2, -2, -3, -4, 3, 4, 3, -4, -6, 2, 0, 7, -3, -10, -4, -4, 2 ], embQ := [ [ 1, 0, 0, 0, 0, \
0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -3, 2, 2, 0 ], [ 0, 1, 0, 0, 0, 3, 0, -12, 10, 0, 0, 0, 0, 0, 0, 0, -2, 0, 7, 0, -3, 1, -22, 10, 8, 0 \
], [ 0, 0, 1, 0, 0, 2, 0, -10, 8, 0, 0, 0, 0, 0, 0, 0, -1, 0, 6, 0, -2, 0, -17, 7, 7, 0 ], [ 0, 0, 0, 1, 0, 1, 0, -8, 6, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0,\
 -1, 0, -13, 6, 6, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -7, 3, 3, 0 ], [ 0, 0, 0, 0, 0, 4, 0, -14, 12, 0, 0, 0, 0, 0\
, 0, 0, -2, 0, 9, 0, -4, 1, -27, 12, 10, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 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, -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, 1, 0, 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, 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, 0, 1, 0, 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, \
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, 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 ] ], 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, 0, 1, 0, 0, 1, 1, 0, 0, 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, 0, 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, -1 ], [ 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1\
, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 1, 0, 0, 0, -2, 2, -1, 0, 2, -2, -1, 0, 0, 0, 1\
, 1, -2, 1, -2, 0, 1, -1, -1, -2, -2, 1 ], [ -2, 0, 0, 0, 2, 0, 0, 0, -4, 4, 0, 0, 0, -2, 0, 0, 0, -2, 2, 1, -2, 1, 0, 2, 2, -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, 0, 0, 0, 0, 0, 1, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1 ] ], rootsQ := [ [ 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, \
1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, -1, 0, 0,\
 0, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0\
, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1\
, 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, 1 ], [ -1, 0, 0, 0, 0, 0,\
 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1 ], [ \
1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 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, 1, 1, \
0, 0, -1, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, \
0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -\
1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1\
, 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, -1, 1, 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "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, 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, 2, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], [ -2, 0, 1, 0,\
 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ -3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, -1, -1, \
-1, 2 ], [ -2, 0, 0, 0, 1, 0, 2, 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, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1\
, 0, -1, 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 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0\
, 0, 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, 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, -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, 1, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 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,\
 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, 2, 0, 0, 0, -2, -2, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -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, \
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, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 3, 1, -2, -3, 5\
, 2, 4, 2, -2, -3, -4, 1, 4, 3, -4, -6, 1, -1, 6, -2, -8, -5, -5, 0 ], 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, -2, 2, 0, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1\
, 0, 0, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 1, -4, 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, -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, 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, 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, -2, 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, 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, 0, 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, 0, 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 := [ [ -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, 0, 1, 0, 0, 1, 1, 0, 0, 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, 0, 0, 0 ], [ 1, 1, -1, -2, 1, 3, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, -2, 0, 0,\
 -1, -1, -1 ], [ 0, 0, 1, 1, 0, -5, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, -2, 1, 0, 3, 0, 0, 1, 1, 0 ], [ 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, 0, 0, 1, 0, 0, 0, 0, 0 ], rlifts := [ [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, -1, -1, -1 ], [ -1, 0, 0, 1, -1, 1, -1, \
0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, 1 ] ], rootsQ := [ [ -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 1 ], [ 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 ], [ 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, 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, 0, 1, -1, \
0, 0, -1, 0, 0, 1, 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, 1, 0, -1, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, -1, 1 \
], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, -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, 0, -1, -1, 1, 0, 0, 1, 0, 0, -1, 1 ], [ -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, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0 ],\
 [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0\
, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ -1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 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, 1, 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, 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, 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, 1 ]\
, [ 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, 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, 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 ], [ -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, 0, 0, 0 ], [ 0, 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, 0, 0 ],\
 [ 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", "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, 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 ] ], thegtilde := [ [ -2, 0, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, -2, -1, -1, 1 ], [\
 -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], [ -3, 0, 1, 1, -1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, \
0, -1, -2, -1, -1, 2 ], [ -4, 0, 0, 2, -1, 1, 2, 0, 1, 0, 1, 0, 0, -2, -1, -1, -1, -1, 0, -2, 0, -1, -2, -1, -1, 3 ], [ -3, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, \
0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, -2, -1, -1, 1 ], [ -2, 0, 0, 1, -1, 2, 0, 0, 1, 0, 1, 0, 0, -2, -1, -1, -1, -1, 0, -2, 0, -1, -1, 0, 0, 2 ], [ 0, 0, \
1, -1, 0, 1, 0, 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, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0\
, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0,\
 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, 3, 1, 1, 2, 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 ], [ 0, 0, 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, 1, -1, 1, -1, 0, 1, \
0, 0, 0, 0, -2, 0, 0, -1, -2, 0, -1, 0, -1, -1, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, -1 ], [ 1, 0, 1,\
 -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 1, 1, 1, 1, 2, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 2, 0, 0, -1, -2, -2, 0, 0, -1, -3, -1, -1, 0\
, 2, 2, 2 ], [ 1, 0, 0, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, -1 ], [ 1, 0, 0, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1,\
 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, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, -1, 1, 0, -1, 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, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, \
0, 0, 0, 0, 0, 1, 0, 0, 1, 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 ], [ 1, 0, 1, -2\
, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 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 := [ [ -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\
, -2, 25, -2, -2, -29, -10, -12, -2 ], [ -81, -201, -120, -326, -174, -296, -84, -5, 0, 0, 17, -1, -1, -17, -6, -8, 0 ], [ -227, -558, -326, -912, -487, -\
834, -230, -15, -2, -2, 42, 1, 1, -46, -12, -12, -2 ], [ -122, -297, -174, -487, -262, -446, -123, -8, -1, -1, 24, 0, 0, -25, -6, -6, -2 ], [ -207, -511, \
-296, -834, -446, -768, -210, -13, -2, -2, 39, 1, 1, -43, -10, -10, -2 ], [ -57, -142, -84, -230, -123, -210, -60, -3, 0, 0, 12, -1, -1, -12, -4, -6, 0 ],\
 [ -4, -10, -5, -15, -8, -13, -3, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -2, 0, \
-2, -1, -2, 0, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 10, 25, 17, 42, 24, 39, 12, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 0, -2, -1, 1, 0, 1, -1, -1, -1, \
-1, 0, -4, -3, -1, -2, -4, -2 ], [ 0, -2, -1, 1, 0, 1, -1, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -11, -29, -17, -46, -25, -43, -12, -1, 0, 0, 4, -1, \
-1, -4, -2, -2, 0 ], [ -2, -10, -6, -12, -6, -10, -4, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -2, -12, -8, -12, -6, -10, -6, 0, 0, 0, 2, -4, -4, -2, -4, -\
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 ]\
, [ 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, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, -2, 0 ], [ 0, 1, 0,\
 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, -2, 1, -2, 0 ], [ 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, 0, 0, 0, 1, -1, 0, 0,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 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, 0, 1,\
 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -6, 3, 3, 2, -3, -3, 6, 2, 3, 2, -4, -3, -4, 0, 6, 5, -7, -9, 0, 1, 7, -2, -10, -5, -5, 0 ], embQ\
 := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -5, 3, 3, 0 ], [ 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0,\
 -1, 1, -15, 8, 7, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 1, -8, 4, 5, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, \
0, 0, -9, 0, 0, 0, -1, 0, -23, 12, 12, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -1, 0, -12, 6, 6, 0 ], [ 0, 0, 0, 0, 0, 2, 0, \
0, -1, 0, 0, 0, 0, 0, 0, 0, -8, 0, 1, 0, -2, 0, -22, 11, 10, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, -6, 3, 3, 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, 0, 0, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], 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, 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, 0, 1, -1, 0, 1, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 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 := [ 2, 1, 2, 4, 4, 4, 4, 3, 2, 1 ], rlifts := [ [ 0, 1, 0, 0,\
 -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, -2, -2, 0, 1, 1, 0, -1, 0, -1, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, 0, -1, -1\
, 0, 0 ] ], rootsQ := [ [ -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, -2, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, -1, 2, 0 ], [ 0, 1, 0, 0\
, -1, 0, 0, -1, 0, 0, -1, 1, 1, -2, 1, -2, 0 ], [ 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 1, -1, -1, 2, -1, 2, 0 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1,\
 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, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 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, 0, -1, 0 ], [ 1\
, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1, -1, 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, 0, 1, 0, 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, 0, 0, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -\
1, 0, 0, 1, 0, 1 ], [ 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, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [\
 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0,\
 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 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, 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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "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 ], [ 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 := [ [ -3, 2, 2, 0, -2, 2, 2, 0, 0, 0, -4, 0, 0, -2, 4, 4, -6, -6, 0, 4, 4, 0, -5, -3, -3, 0 ], [ -2, 2, 1, 0, -1, 1, 1, 0, 0, 0, -1, 0, 0, -\
2, 1, 1, -3, -4, 0, 1, 2, 0, -2, -1, -1, 1 ], [ -4, 2, 3, 0, -2, 2, 2, 0, 0, 0, -4, 0, 0, -2, 4, 4, -6, -6, 0, 4, 4, 0, -5, -3, -3, 1 ], [ -7, 4, 4, 1, -4\
, 4, 3, 0, 0, 0, -7, 0, 0, -5, 7, 7, -12, -13, 0, 7, 8, 0, -9, -5, -5, 2 ], [ -4, 3, 2, 0, -2, 3, 2, 0, 0, 0, -5, 0, 0, -3, 5, 5, -8, -8, 0, 5, 5, 0, -6, \
-3, -4, 0 ], [ -2, 2, 1, 0, -2, 3, 1, 0, 0, 0, -2, 0, 0, -3, 2, 2, -5, -6, 0, 2, 3, 0, -3, -1, -2, 1 ], [ -2, 1, 2, 0, -1, 1, 1, 0, 0, 0, -3, 0, 0, -1, 3,\
 3, -4, -4, 0, 3, 3, 0, -3, -2, -1, 0 ], [ -1, 1, 1, 0, -1, 1, 0, 1, 0, 0, -2, 0, 0, -2, 2, 2, -3, -4, 0, 2, 2, 0, -2, -1, -1, -1 ], [ -2, 0, 2, 0, 0, 0, \
0, 0, 1, 0, -2, 0, 0, 0, 2, 2, -2, -2, 0, 2, 2, 0, -2, -2, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 1, -1, -2, 0, 1, 1, 0, -1, -1, 0, -1 \
], [ -1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 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 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1,\
 1, -1, 0, -1, -1, 0, 1, 1, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, -2, -1, 2, 2, 0, -1, -1, 0, 2, 1, 2, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 0,\
 0, 1, 0, 0, 1, -1, -2, 2, 2, 0, -1, -1, 0, 2, 1, 2, 0 ], [ 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 2, 0, 0, -1, -2, -2, 0, -1, 0, -2, 0, 0, 1, 2, 0, 1 ], [ -1, 0\
, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, -1, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, -1, 1, 1, 1, 0, -1\
, -1, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 2, 1, 0, -1, -1, 0, 0 ], [ 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1,\
 1, 1, 0, -1, 0, 0, 1, 1, 0, 0 ], [ -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, 1, -1, -1, 0, 0 ], [ -1, -1, 1, 0, 1, -1, 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, -1, 1, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 2, 2, 0, -1, -1, 0, 1, 1, 1, 0 ], [ 1, 0, -1, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, -1\
 ] ] ), 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\
, -17, -28, -4 ], [ 5, -90, -56, -34, -21, -120, -19, -2, -2, 28, -9, -9, -32, -10, -10, -16, -2 ], [ 1, -54, -34, -24, -13, -68, -11, -2, -2, 12, -5, -5,\
 -16, -6, -6, -8, -2 ], [ 1, -33, -21, -13, -10, -45, -8, -1, -1, 12, -4, -4, -13, -4, -4, -6, -2 ], [ 16, -200, -120, -68, -45, -274, -45, -4, -4, 70, -2\
2, -22, -78, -23, -23, -40, -4 ], [ 3, -33, -19, -11, -8, -45, -12, -1, -1, 14, -5, -5, -15, -6, -4, -8, -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 ], [ -8, 46, 28, 12, 12, 70, 14, -2, -2, -32, 6, 6, 28, 8, 8, 14\
, -2 ], [ 1, -16, -9, -5, -4, -22, -5, -1, -1, 6, -4, -3, -7, -2, -2, -4, -2 ], [ 1, -16, -9, -5, -4, -22, -5, -1, -1, 6, -3, -4, -7, -2, -2, -4, -2 ], [ \
7, -54, -32, -16, -13, -78, -15, 0, 0, 28, -7, -7, -28, -8, -8, -14, 0 ], [ 2, -17, -10, -6, -4, -23, -6, 0, 0, 8, -2, -2, -8, -4, -2, -4, 0 ], [ 2, -17, \
-10, -6, -4, -23, -4, 0, 0, 8, -2, -2, -8, -2, -4, -4, 0 ], [ 4, -28, -16, -8, -6, -40, -8, 0, 0, 14, -4, -4, -14, -4, -4, -8, 0 ], [ -2, -4, -2, -2, -2, \
-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,\
 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, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, \
0, 0, -1, -1, -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, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 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, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 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, 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, 0 ] ], adjweyl := [ -5, 1, 1, 3, -2, -4, 6, 2, 3, 2, -2, -3, -4, 1, 4, 3, -4, -6, 0, -1, 5, -2, -8, -4, -4, 0 ], embQ := [ [ 1, 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 0, 0, 0, -2, 0 ], [ 0, 0\
, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1\
, 1, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2,\
 0, -4, 0, 0, -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, -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, 1, 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, -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, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 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, -1, 0 ], [ 0, 0, 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 := [ [ -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,\
 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1 ], [ 2, 1, -3, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2 ], [ 0, 0, 1, -1,\
 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ]\
, [ 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,\
 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 2, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ], \
[ 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,\
 0, -1, 0, -1, 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, 0, 0, 1, 0, 0, -1, 0, -1, -1 ], [ 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, 1, 0, -1, 0, -1, -1 ], [ 1, 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, 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 ], [ 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, 1, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 0,\
 0, 0, 0, 1, 0, 1, 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, -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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 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 ], [ 0, 0, 0, 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 ], [ 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, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0\
, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1,\
 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 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, 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, 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, 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, 0, 0, 0, 0 ], [ 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", "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 ], [ 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, 2, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], [ -2, -1, 0, 1, 0, 0, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ -3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, 2 ],\
 [ -2, -2, -2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, -3, -3, 3, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0,\
 -1, 0, 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, 0, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1\
, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -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, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0,\
 1, 1, 1, 0 ], [ 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, \
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, 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, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 ], [\
 0, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 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, 0, 0, \
0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -14, -70, -62, -50, -24, -80, -14, 4, 3, 3, 3, 1, 1, 2, 1, -2, 4 ], [ -70, -432, -383, -302, -141, -501, -85, 25, \
20, 20, 16, 17, 17, 12, 10, 2, 32 ], [ -62, -383, -344, -271, -128, -446, -77, 22, 18, 18, 15, 17, 17, 11, 11, 6, 28 ], [ -50, -302, -271, -216, -101, -34\
9, -61, 17, 14, 14, 10, 13, 13, 10, 8, 4, 22 ], [ -24, -141, -128, -101, -50, -166, -29, 8, 7, 7, 8, 6, 6, 3, 4, 2, 10 ], [ -80, -501, -446, -349, -166, -\
588, -99, 30, 24, 24, 23, 21, 21, 11, 13, 4, 38 ], [ -14, -85, -77, -61, -29, -99, -18, 5, 4, 4, 3, 4, 4, 3, 3, 2, 6 ], [ 4, 25, 22, 17, 8, 30, 5, -4, -1,\
 -1, 0, -1, -1, -1, -2, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1, -1, -2, -2, -1, -1, 0, 0\
, 0, -2 ], [ 3, 16, 15, 10, 8, 23, 3, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 1, 17, 17, 13, 6, 21, 4, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ 1, 17, 17,\
 13, 6, 21, 4, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ 2, 12, 11, 10, 3, 11, 3, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ 1, 10, 11, 8, 4, 13, 3, -2, 0, \
0, 2, -2, -2, -2, -4, -4, 0 ], [ -2, 2, 6, 4, 2, 4, 2, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ 4, 32, 28, 22, 10, 38, 6, -2, -2, -2, -2, -2, -2, 0, 0, 0, -\
4 ] ], GramQperp := [ [ -4, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, -8, 2, 0, 0, 4, 0, -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, 2, 4, 2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 0, -4, 0, 0, 0, 4, 2, -8, 0 ], [ 0, -2, 0, 0, 0, 2, 0, 0, \
-4 ] ], Sigma := [ [ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -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, 0, 0, 1, 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, -1, -1, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -4, 3, 2, \
2, -3, -5, 6, 4, 3, 4, -2, -3, -4, -1, 4, 3, -4, -7, -1, -3, 4, -3, -9, -4, -4, -2 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 1, 1, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 3, 0, -6, -2, -6, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 3, 1, 8, -2, -4, 0 ], [ 0, 0, 1, 0, 0, 2, 0, -5, -2, -5, 0, 0\
, 0, 0, 0, 0, -1, 0, 1, 0, 3, 0, 8, -3, -3, 0 ], [ 0, 0, 0, 1, 0, 1, 0, -4, -2, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 3, 0, 7, -2, -2, 0 ], [ 0, 0, 0, 0, 1, \
0, 0, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 4, 0, -7, -2, -7, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 3, 1, 8, -2, -4, 0\
 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], em\
bQperp := [ [ -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, -2, 4, 0, 0, 0, -1, 0,\
 0, 1, 1, 0, -1, -2, -1, 0, 1, 1, -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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1\
, 0, -3, 2, 0, 2, -4, 0, 0, 0, 3, 0, 0, 1, -1, 0, 1, 3, 1, 1, 0, 0, 2 ], [ 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, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -3, 1, 1, 0 ], [ -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 ] ], r := [ 4, 2, 5, 8, 7, 6, 4, 2, 1, 0 ], rlifts := [ [ 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, \
0, 0, 0, 0, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0, 0, -1 ] ], rootsQ := [ [ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0,\
 1, 0, 0, 0, 1, 0, 1 ], [ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1 ], [ 1, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1,\
 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 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, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1,\
 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, -1, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0\
, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 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, -1, 1, 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,\
 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 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, 1, 0, -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, 0, 0, 1, -1, 0, 0, -1, \
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -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, 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, 0 ], [ 0, 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 ] ], r\
ootstypeQ := [ "A1", "A1", "D4", "D4" ], theg := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 4, 3, 5, 8, 7, 6, 4, 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 ], [ -4, -2, -5, -8, -7, -5, -4, -2, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 4, 2, 5,\
 8, 7, 6, 4, 3, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 4, 2, 5, 8, 7, 6, 4, 2, 1, 1 ] ], thegtilde := [ [ 1, 2, 0, 0, -2, -2, 2, 4, 0, 4, 0, 0, 0, -4\
, 0, 0, 0, -2, -2, -4, -2, -2, -3, -1, -1, -4 ], [ 0, 2, 0, 0, -1, -1, 1, 2, 0, 2, 1, 0, 0, -3, -1, -1, 0, -2, -1, -3, -1, -1, -1, 0, 0, -1 ], [ 1, 3, 1, \
0, -3, -3, 2, 6, 0, 6, 0, 0, 0, -6, 0, 0, 0, -3, -3, -6, -3, -3, -4, -1, -1, -5 ], [ 1, 4, 0, 1, -4, -4, 3, 8, 0, 8, 1, 0, 0, -9, -1, -1, 0, -5, -4, -9, -\
4, -4, -5, -1, -1, -6 ], [ 2, 4, 0, 0, -3, -4, 2, 8, 0, 8, 0, 0, 0, -8, 0, 0, 0, -4, -4, -8, -4, -4, -5, -1, -1, -8 ], [ 1, 4, 0, 0, -2, -3, 1, 6, 0, 6, 1\
, 0, 0, -7, -1, -1, 0, -3, -4, -7, -4, -4, -4, 0, 0, -5 ], [ 2, 3, 0, 0, -2, -3, 1, 5, 0, 5, 0, 0, 0, -5, 0, 0, 0, -2, -3, -5, -3, -3, -3, 0, 0, -5 ], [ 1\
, 1, 0, 0, -1, -1, 0, 3, 0, 2, 0, 0, 0, -3, 0, 0, 0, -2, -1, -2, -1, -1, -1, 0, 0, -3 ], [ 1, 1, 0, 0, -1, -1, 0, 2, 1, 2, 0, 0, 0, -2, 0, 0, 0, -1, -1, -\
2, -1, -1, -1, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, -1, 0, 0,\
 -1, 0, 0, 0, -1, 0, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 1, 0, \
0, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, 1, 1, -1 ], [ 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, -1, \
0, 1, 1, -1 ], [ -1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 2, 0, 0, 1, -2, -2, 1, 1, 0, -1, 0, 0, 1, 1, 1, 2 ], [ 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 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, 1, 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, 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, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, -1 ], [ 0, 1,\
 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -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, 1, 0 ], [ 0, 0, 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 := [ [ -118, -282, -177, -451, -218, -369, -1\
11, 4, -1, -1, -20, 4, 4, 19, 10, 10, -2 ], [ -282, -686, -428, -1092, -524, -895, -269, 10, -2, -2, -51, 10, 10, 47, 22, 22, -2 ], [ -177, -428, -270, -6\
84, -329, -559, -169, 7, 0, 0, -29, 7, 7, 29, 14, 14, 0 ], [ -451, -1092, -684, -1744, -839, -1428, -430, 17, -2, -2, -78, 17, 17, 74, 36, 36, -2 ], [ -21\
8, -524, -329, -839, -406, -687, -207, 8, -1, -1, -36, 8, 8, 35, 18, 18, -2 ], [ -369, -895, -559, -1428, -687, -1172, -353, 15, -2, -2, -65, 13, 13, 61, \
30, 28, -2 ], [ -111, -269, -169, -430, -207, -353, -108, 5, 0, 0, -18, 3, 3, 18, 8, 6, 0 ], [ 4, 10, 7, 17, 8, 15, 5, -4, -1, -1, 0, -1, -1, -1, -2, 0, -\
2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ -20, -51, -29\
, -78, -36, -65, -18, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 4, 10, 7, 17, 8, 13, 3, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ 4, 10, 7, 17, 8, 13, 3, -1,\
 -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ 19, 47, 29, 74, 35, 61, 18, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ 10, 22, 14, 36, 18, 30, 8, -2, 0, 0, 2, -2, -2\
, -2, -4, -4, 0 ], [ 10, 22, 14, 36, 18, 28, 6, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -2, 0, -2, -2, -2, 0, -2, -2, -2, -2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, 0, 0, 0, -2, 0, 0, -1 ], [ 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, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, 6, -20, 14, 2, 11, 2, -2, -3, -4, 9, 4, 3, 4, -14, 8, -1, 13, -2,\
 -8, -4, -4, -4 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 12, -6, -4, 0 ], [ 0, 1, 0, 0, 0, 1, 0, 0, -11, 0, 0, 0\
, 0, 0, 0, 0, -1, 0, -10, 0, 9, 0, 28, -15, -11, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0, 18, -10, -6, 0 ], [ 0, 0, 0, 1\
, 0, 1, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -1, 0, -16, 0, 15, 0, 45, -24, -16, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 7, 0, 22,\
 -12, -8, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -15, 0, 0, 0, 0, 0, 0, 0, -1, 0, -13, 0, 12, 1, 37, -20, -14, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, -4, 0, 4, 1, 11, -6, -4, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, \
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 ] ], embQperp := [ [ -2, 0, 2, 2, -3, 0, 2, -2, -1, 0, 3,\
 0, 0, 0, -3, -3, 2, 2, 0, -2, -1, 0, 0, 3, 3, 5 ], [ -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, 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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, -1, -1, 0, 2, -1, 0, -1, 0, 0, -1, 1, 1, -1, -1, -2, 0,\
 0, 0, 0, 0, 0, -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 := [ 4, 3, 6, 9, 8, 7, \
4, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, 1, -2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, -2, 1, 0, 1, 0, 0, 0, 0, -1 ] ], rootsQ := [ [ 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, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, \
1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 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, -1, 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, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 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, 0, 0, 1, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0\
, 0, -1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, \
0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 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, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, 0, 2,\
 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, 0, 0, 0, -2, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 0,\
 0, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1 ], [ 0, \
0, 0, 0, -1, 1, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, \
0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, \
-1, 1, -1, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0,\
 0 ], [ 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 1, -1, 0, 1, 1, -2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 1, 0, -1, -1\
, 2, 0, 0, 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, 1, 0, -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, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], 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 := [ [ -1, 0, 0, 0, 6, -12, 8, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, -6, 6, 0, 6, 0, -1, -1, -1, -3 ], [ -1, 1, 0, 0, 3, -6, 4, 0\
, 3, 0, 1, 1, 0, 2, -1, -1, 3, -4, 3, -1, 3, 0, 0, 0, 0, -1 ], [ -2, 0, 1, 0, 8, -16, 10, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, -8, 8, 0, 8, 0, -1, -1, -1, -3 ], \
[ -3, 0, 0, 1, 11, -22, 14, 0, 11, 0, 1, 1, 0, 10, -1, -1, 11, -12, 11, -1, 11, 0, -1, -1, -1, -4 ], [ -2, 0, 0, 0, 11, -20, 12, 0, 10, 0, 0, 0, 0, 10, 0,\
 0, 10, -10, 10, 0, 10, 0, -1, -1, -1, -5 ], [ -1, 0, 0, 0, 9, -17, 10, 0, 9, 0, 1, 1, 0, 8, -1, -1, 9, -10, 9, -1, 9, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 6, \
-12, 7, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, -6, 6, 0, 6, 0, 0, 0, 0, -3 ], [ 0, 0, 0, 0, 3, -6, 3, 1, 3, 0, 0, 1, 0, 2, 0, 0, 3, -4, 3, 0, 3, 0, 0, 0, 0, -3 ], \
[ 0, 0, 0, 0, 2, -4, 2, 0, 3, 0, 0, 0, 0, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, -2, 1, 0, 1, 0,\
 0, 0, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1\
, 0, 0, 0, -2, 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, 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, 2, 0, 0, 0, -2, -2, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -2, 4, -2, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 2, -1, 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, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -84, -72, -5\
7, -29, -99, -15, 5, 3, 3, 5, -1, -1, 0, 0, -4, 4 ], [ -84, -528, -453, -352, -175, -629, -93, 31, 20, 20, 28, 5, 5, 0, 4, -10, 32 ], [ -72, -453, -394, -\
306, -153, -541, -82, 27, 18, 18, 25, 7, 7, 1, 6, -4, 28 ], [ -57, -352, -306, -240, -119, -418, -64, 21, 14, 14, 18, 5, 5, 2, 4, -4, 22 ], [ -29, -175, -\
153, -119, -62, -211, -32, 10, 7, 7, 12, 2, 2, -1, 2, -2, 10 ], [ -99, -629, -541, -418, -211, -756, -111, 37, 24, 24, 37, 7, 7, -3, 6, -10, 38 ], [ -15, \
-93, -82, -64, -32, -111, -18, 6, 4, 4, 5, 2, 2, 1, 2, 0, 6 ], [ 5, 31, 27, 21, 10, 37, 6, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ 3, 20, 18, 14, 7, 24,\
 4, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ 3, 20, 18, 14, 7, 24, 4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 5, 28, 25, 18, 12, 37, 5, 0, -2, -2, -8, 0,\
 0, 4, 2, 2, -2 ], [ -1, 5, 7, 5, 2, 7, 2, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -1, 5, 7, 5, 2, 7, 2, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ 0, \
0, 1, 2, -1, -3, 1, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ 0, 4, 6, 4, 2, 6, 2, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -10, -4, -4, -2, -10, 0, 0, 0\
, 0, 2, -4, -4, -2, -4, -8, 0 ], [ 4, 32, 28, 22, 10, 38, 6, -2, -2, -2, -2, -2, -2, 0, 0, 0, -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, -1, -1, 1, 1, -2, 1, \
1, -2, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -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, 0, 0, 1, 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, -1, -1, 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, 1, -1, 0, 0, 0, 0, \
0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, -2, -4, -2, 18, 3, 2, -10, -3, -4, -7, 12, 11, -12, -14, -8, -1, 5, -2, -8, -12, -12, -12 ], embQ := [ [ 1, 0, 0, 0\
, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 0, 3, 0, -12, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, -3, 1, -4, 4, 2, 0 \
], [ 0, 0, 1, 0, 0, 2, 0, -10, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 6, 0, -2, 0, -2, 2, 2, 0 ], [ 0, 0, 0, 1, 0, 1, 0, -8, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0, -1\
, 0, -1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, 0, -14, 5, 0, 0, 0, 0, 0, 0, \
0, 5, 0, 9, 0, -4, 1, -6, 5, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 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, -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, 1, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ -2, 0, 2, 2, -4, 2, -2, 4, -4, 0, 2, 0, 0, -4, -2, -2, 0, 2, -4, -3, -4, 1, 2, 2, 2, 2 ], [ -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, 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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -\
1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 2, 0, -2, 1, 0, -1, 0, 0, 0, 1, 1, -2, 0\
, 0, 1, 1, -1, -2, -1, -1, 1 ], [ -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, 3, 6, 9, 8, 7, 6, 3, 2, 1 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 1, -2, 1,\
 1, -1, -2, -1, 0, 0, 0, 0, -1, -1, -2 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 2, -1, -1, 2, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -2, 1\
, 1, -2, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 1, 1, -1, 0, -1, -2 ], [ 0, 0, 0, 0, \
0, 0, 1, 1, -1, 0, 1, -1, -1, 1, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, -1, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, -1, -1, 1, 0,\
 1, 2 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, -1, -1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, -1,\
 0, -1, -1, 1, 1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, 1, -1, 0, -1, -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, -1, 0, 0, -1, 1, 1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, -\
1, -1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 1, 1, 0, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 0, 0, 0, 0\
, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 \
], [ 0, 0, 0, 0, 0, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,\
 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, -1, 0, 0, 0, -1, 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, 1 ], [ \
-1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1\
, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, -1, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1\
, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1\
, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, 0, 0, 1, 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, -1, 1, 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], 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 := [ [ -1, 0, \
0, 0, 0, 0, -4, 12, 0, 0, -6, 0, 0, -6, 6, 6, -6, -6, -6, 0, 0, 0, -1, -7, -7, -9 ], [ -1, 1, 0, 0, 0, 0, -4, 10, 0, 0, -4, 1, 0, -6, 4, 4, -5, -6, -5, -1\
, 0, 0, 0, -5, -5, -7 ], [ -2, 0, 1, 0, 0, 0, -6, 16, 0, 0, -8, 0, 0, -8, 8, 8, -8, -8, -8, 0, 0, 0, -1, -9, -9, -11 ], [ -3, 0, 0, 1, 0, 0, -10, 26, 0, 0\
, -12, 1, 0, -14, 12, 12, -13, -14, -13, -1, 0, 0, -1, -14, -14, -18 ], [ -2, 0, 0, 0, 1, 0, -8, 20, 0, 0, -10, 0, 0, -10, 10, 10, -10, -10, -10, 0, 0, 0,\
 -1, -11, -11, -15 ], [ -1, 0, 0, 0, 0, 1, -8, 18, 0, 0, -8, 1, 0, -10, 8, 8, -9, -10, -9, -1, 0, 0, 0, -9, -9, -13 ], [ 0, 0, 0, 0, 0, 0, -5, 12, 0, 0, -\
6, 0, 0, -6, 6, 6, -6, -6, -6, 0, 0, 0, 0, -6, -6, -9 ], [ 0, 0, 0, 0, 0, 0, -3, 7, 0, 0, -3, 1, 0, -4, 3, 3, -3, -4, -3, 0, 0, 0, 0, -3, -3, -6 ], [ 0, 0\
, 0, 0, 0, 0, -2, 4, 1, 0, -2, 0, 0, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -3 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 1, -1, 1, 0, -2, 1, 1, -1, -2, -1, 0, 0\
, 0, 0, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,\
 0, -1, 0, 0, 0, -2, 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, 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, -2, 4, 0, 0, 0, 0, 0, -2, 0, 0, -1, -2, -2, -2, 0, 0, 1, -1, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -9, -5, \
-5, -3, -9, -5, -1, -1, -1, 0, -3, -3, -1, -2, -4, -2 ], [ -9, -60, -36, -28, -13, -68, -20, -5, -4, -4, -2, -7, -7, -6, -8, -10, -4 ], [ -5, -36, -24, -1\
8, -9, -42, -10, -3, -2, -2, 0, -3, -3, -4, -4, -4, -2 ], [ -5, -28, -18, -16, -7, -30, -10, -3, -2, -2, -2, -3, -3, -2, -4, -4, -2 ], [ -3, -13, -9, -7, \
-6, -17, -5, -2, -1, -1, 2, -2, -2, -3, -2, -2, -2 ], [ -9, -68, -42, -30, -17, -84, -20, -5, -4, -4, 2, -7, -7, -10, -8, -10, -4 ], [ -5, -20, -10, -10, \
-5, -20, -20, -6, -4, -4, -4, -4, -4, -2, -4, -4, -6 ], [ -1, -5, -3, -3, -2, -5, -6, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -4\
, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -4, -2, -2, -1, -4, -4, -1, -1, -2, -2, -1, -1, 0, 0, 0, -2 ], [ 0, -2, 0, -2, 2, 2, -4, 0, -2, -2, -8, 0, \
0, 4, 2, 2, -2 ], [ -3, -7, -3, -3, -2, -7, -4, -1, -1, -1, 0, -4, -3, -1, -2, -4, -2 ], [ -3, -7, -3, -3, -2, -7, -4, -1, -1, -1, 0, -3, -4, -1, -2, -4, \
-2 ], [ -1, -6, -4, -2, -3, -10, -2, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, -8, -4, -4, -2, -8, -4, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, -10, \
-4, -4, -2, -10, -4, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, -6, -2, -2, -2, -2, -2, -2, 0, 0, 0, -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, 0, 0, 0, \
0, 0, 1, -1, 0, 0, -1, 1, 1, -1, 0, -2, -2 ], [ 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, 0, 0, 1, 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, -1, -1, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 2, -2, -4, 6, 2, 3, 18, -10, -3, -4, -7, 12, 11, -12, -14, 0, -1, 5, -10, -20, -8, -8, -12 ]\
, 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, 1, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1\
, 0, -3, 1, -4, 4, 2, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, -2, 2, 2, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 2, 2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, \
0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -4, 1, -6, 5, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 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, -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, 1, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], 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, 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, 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 4, -4, 4, 0, -4\
, -2, 0, 0, -2, 2, 2, -4, 0, -4, 1, 0, 1, 1, -3, -3, 0 ], [ 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 ] ], r := [ 4, 3, 6, 9, 8, 7, 6, 4, 2, 0 ], rlifts := [ [ 1, 0, 0, 0, 0, 0, -1,\
 0, 0, 2, -1, 0, 0, -1, 1, 1, -1, -1, 0, 0, 0, -1, -1, 0, 0, -2 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, -1, -1, -2 ], [ 0, 0, 0, 0,\
 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, 1, 1, 2 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 1, -1, 0, -1, -1 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, -1, 1, 0\
, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, \
0, 0, -1, 1, 0, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 2, -1, 0, -2, -2 ], [ 0,\
 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, -2, 1, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 2, 1, -1, 0, -2, -2 ], [ 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -2, \
-1, 1, 0, 2, 2 ], [ 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 1, -1, 0, -2, -2 ], [ -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, -1, 1, 0, 2, 2 ], [ 0, 0, 0, 0, 0, \
0, 1, -2, 0, 0, -1, 1, 1, -1, 1, -2, -1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1, -1, 1, -1, 2, 1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, \
0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0,\
 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0\
, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [\
 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, 0, 0, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0\
, 0, 1, 0, 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, 1, 0, 0, 0, -1, -1 ], [ -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, 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, -1, -1, 1, 0, 0, 1, 0, 0, 1 ], [ 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1\
, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -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, 0, 1, 0, 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, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 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, 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 ], [ -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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], 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, 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, -3, -6, \
-9, -8, -7, -5, -4, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 8, 6, 12, 18, 16, 14, 12, 8, 4, 1 ] ], thegtilde := [ [\
 -1, 0, 0, 0, 0, 0, 2, 0, 0, 12, -6, 0, 0, -6, 6, 6, -6, -6, 0, 0, 0, -6, -10, -4, -4, -9 ], [ -1, 1, 0, 0, 0, 0, 1, 0, 0, 10, -4, 0, 0, -6, 5, 4, -5, -6,\
 0, -1, 0, -5, -8, -3, -3, -7 ], [ -2, 0, 1, 0, 0, 0, 2, 0, 0, 16, -8, 0, 0, -8, 8, 8, -8, -8, 0, 0, 0, -8, -13, -5, -5, -11 ], [ -3, 0, 0, 1, 0, 0, 3, 0,\
 0, 26, -12, 0, 0, -14, 13, 12, -13, -14, 0, -1, 0, -13, -21, -8, -8, -18 ], [ -2, 0, 0, 0, 1, 0, 2, 0, 0, 20, -10, 0, 0, -10, 10, 10, -10, -10, 0, 0, 0, \
-10, -16, -6, -6, -15 ], [ -1, 0, 0, 0, 0, 1, 1, 0, 0, 18, -8, 0, 0, -10, 9, 8, -9, -10, 0, -1, 0, -9, -14, -5, -5, -13 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 12\
, -6, 0, 0, -6, 6, 6, -6, -6, 0, 0, 0, -6, -9, -3, -3, -9 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 8, -4, 0, 0, -5, 4, 4, -4, -5, 0, 0, 0, -4, -6, -2, -2, -7 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 1, 4, -2, 0, 0, -2, 2, 2, -2, -2, 0, 0, 0, -2, -3, -1, -1, -3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 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, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 2, 0, -1, -2, 0, -2, 0, -2, -3, -1, -1, -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 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, -464, -28\
5, -751, -364, -633, -185, 8, -1, -1, -26, 4, 4, 25, 14, 14, -2 ], [ -464, -1126, -690, -1812, -874, -1527, -448, 20, -2, -2, -65, 8, 8, 61, 30, 28, -2 ],\
 [ -285, -690, -426, -1112, -537, -935, -276, 13, 0, 0, -37, 5, 5, 37, 18, 16, 0 ], [ -751, -1812, -1112, -2928, -1415, -2468, -722, 33, -2, -2, -102, 17,\
 17, 98, 52, 52, -2 ], [ -364, -874, -537, -1415, -686, -1193, -349, 16, -1, -1, -48, 8, 8, 47, 26, 26, -2 ], [ -633, -1527, -935, -2468, -1193, -2084, -6\
08, 29, -2, -2, -87, 15, 15, 83, 46, 46, -2 ], [ -185, -448, -276, -722, -349, -608, -180, 9, 0, 0, -24, 3, 3, 24, 12, 10, 0 ], [ 8, 20, 13, 33, 16, 29, 9\
, -4, -1, -1, 0, -1, -1, -1, -2, 0, -2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2 ], [ -1, -2, 0, -2, -1, -2, 0, -1, -1, -2, -2, -\
1, -1, 0, 0, 0, -2 ], [ -26, -65, -37, -102, -48, -87, -24, 0, -2, -2, -8, 0, 0, 4, 2, 2, -2 ], [ 4, 8, 5, 17, 8, 15, 3, -1, -1, -1, 0, -4, -3, -1, -2, -4\
, -2 ], [ 4, 8, 5, 17, 8, 15, 3, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ 25, 61, 37, 98, 47, 83, 24, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ 14, 30, 18\
, 52, 26, 46, 12, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ 14, 28, 16, 52, 26, 46, 10, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -2, 0, -2, -2, -2, 0, -2,\
 -2, -2, -2, -2, -2, 0, 0, 0, -4 ] ], GramQperp := [ [ -8, 0, 0, 2, -4, 8, 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, 10, 0, -2, -2 ], [ 8, 0, 0, 0, 10, -20, 2, 4, 4 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ -2, 0, 0, 0, -2, 4, \
2, -4, 0 ], [ -2, 0, 0, 0, -2, 4, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 1, -1, 0, -2, 0 ], [ 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1\
, 1, 1, -2, 1, -2, -1 ], [ 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, 0, 0, 0, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 0, 0, 0, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, \
0, 0, 0, 0, 0 ] ], adjweyl := [ -5, 2, 2, 3, -2, -7, 8, 2, 5, 2, -4, -3, -4, 2, 6, 5, -5, -9, 0, 0, 8, -3, -10, -5, -5, -1 ], embQ := [ [ 1, 0, 0, 0, 0, 0\
, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 4, 0, 15, -7, -5, 0 ], [ 0, 1, 0, 0, 0, 1, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 4, 0, -5, 0, 9, 1, 35, -17, -13, \
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 6, 1, 22, -11, -7, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 7, 0, -8,\
 0, 15, 0, 57, -28, -20, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 7, 0, 28, -14, -10, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, -15, 0, 0\
, 0, 0, 0, 0, 0, 6, 0, -6, 0, 12, 0, 48, -24, -18, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 4, 1, 14, -7, -5, 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, 0, 0, 0, 0 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ 0, 0, 1, 1, -3, 1, 1, -2, 2, -2, 1, 0, 0, 1, -1, -1, 0, 2, -1, -1, 1, -1, -1, 0, 0, 4 ],\
 [ -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, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 ], [ 1, 0, 1, -1, -1, 1, 0, -2, 4, -2, 0, 0, 0, 2, 0, 0\
, 0, 1, 1, 0, 3, -1, -1, -2, -2, 2 ], [ -2, 0, 0, 1, 2, -3, 0, 4, -6, 4, 0, 0, 0, -3, 0, 0, 1, -3, 0, 0, -3, 2, 2, 3, 3, -4 ], [ 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 ], [ 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, 3, 6, 9, 8, 8, 6, 4, 2, 1 ], rlifts := [ [ 0, 0, 0, 1, -1, -\
1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 1, -1, -2, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 0, -2, 0, 1, 2, 0, 0, -1, -1, -1\
 ] ], rootsQ := [ [ 0, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 1, 0, 2, 0 ], [ 0, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 1, -1, 0, -2, 0 ], [ 0, 0, 0, 0, -1,\
 1, -1, 1, 0, 0, -1, -1, -1, 2, -1, 2, 1 ], [ 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1, 1, 1, -2, 1, -2, -1 ], [ 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, 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 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, \
-1, 0, 0, 0, 0, 1, 0, 1, -1, 0 ], [ 0, 0, 0, 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, 0, -1, 0 ], [ 1, 0\
, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, \
0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1, -1, 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, 0, 1, 0, 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, 0, 0, 0, -1 ],\
 [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, \
0, 0, 1, 0, 1 ], [ 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, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, -1,\
 0, 0, 0, 0, 1, 0, 0, 0, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1 ], [ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1 ], [ 1,\
 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0,\
 -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 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, 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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "A1", "A1", "D4", "D4" ], theg := [ [ 5, 3, 6, 9, 8, 8, 6, 4, 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, 9, 8, 6, 4, 2, 1 ], [ -8, -6, -12, -18, -16, -15\
, -12, -8, -4, -2 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 4, 3, 6, 9, 8, 8, 6, 4, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 \
] ], thegtilde := [ [ -1, 0, 0, 3, 0, -9, 8, 0, 6, 0, -6, 0, 0, 3, 6, 6, -3, -9, 0, 3, 9, -3, -7, -4, -4, -3 ], [ -1, 1, 0, 3, -1, -7, 6, 0, 5, 0, -4, 0, \
0, 1, 4, 4, -3, -8, 0, 1, 7, -3, -6, -2, -2, -1 ], [ -2, 0, 1, 4, 0, -12, 10, 0, 8, 0, -8, 0, 0, 4, 8, 8, -4, -12, 0, 4, 12, -4, -9, -5, -5, -3 ], [ -3, 0\
, 0, 8, -1, -19, 16, 0, 13, 0, -12, 0, 0, 5, 12, 12, -7, -20, 0, 5, 19, -7, -15, -7, -7, -4 ], [ -2, 0, 0, 6, 0, -16, 13, 0, 11, 0, -11, 0, 0, 5, 11, 11, \
-6, -16, 0, 5, 16, -6, -13, -6, -6, -5 ], [ -1, 0, 0, 6, -2, -13, 11, 0, 10, 0, -9, 0, 0, 3, 9, 9, -6, -15, 0, 3, 14, -6, -12, -4, -4, -3 ], [ 0, 0, 0, 3,\
 0, -9, 7, 0, 6, 0, -6, 0, 0, 3, 6, 6, -3, -9, 0, 3, 9, -3, -6, -3, -3, -3 ], [ 0, 0, 0, 2, 0, -6, 4, 1, 4, 0, -4, 0, 0, 1, 4, 4, -2, -7, 0, 2, 6, -2, -4,\
 -2, -2, -3 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 3, 0, -2, 0, 0, 1, 2, 2, -1, -3, 0, 1, 3, -1, -2, -1, -1, -1 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 1, 1, -1, 0, 0, -1, \
1, 1, -1, -2, 0, 0, 1, -1, -2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 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\
, 2, -1, 0, -1, 0, 1, 0, 0, -2, -1, -1, 0, 0, 0, -1, -2, 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, 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, 2, -2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -2, 2\
, -2, -3, 1, 1, 1 ], [ 0, 0, 0, 0, 1, -2, 1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 0, -1, 0, 1, 2, 0, 0, -1, -1, -1 ], [ 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1,\
 0, 0, 1, -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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 1\
, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 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, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 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, 4, 1, 1, 14, 3, -1, -1, -8, 1, 1, 7, 2, 2, 4, -2 ], [ 8, -122, -75, -50, -29, -164, -29, -4, -4, 38, -14, -14, -46, \
-15, -15, -24, -4 ], [ 4, -75, -48, -32, -19, -101, -17, -2, -2, 24, -8, -8, -28, -9, -9, -14, -2 ], [ 1, -50, -32, -24, -13, -64, -11, -2, -2, 12, -5, -5\
, -16, -6, -6, -8, -2 ], [ 1, -29, -19, -13, -10, -41, -8, -1, -1, 12, -4, -4, -13, -4, -4, -6, -2 ], [ 14, -164, -101, -64, -41, -230, -41, -4, -4, 62, -\
20, -20, -70, -21, -21, -36, -4 ], [ 3, -29, -17, -11, -8, -41, -12, -1, -1, 14, -5, -5, -15, -6, -4, -8, -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 ], [ -8, 38, 24, 12, 12, 62, 14, -2, -2, -32, 6, 6, 28, 8, 8, 1\
4, -2 ], [ 1, -14, -8, -5, -4, -20, -5, -1, -1, 6, -4, -3, -7, -2, -2, -4, -2 ], [ 1, -14, -8, -5, -4, -20, -5, -1, -1, 6, -3, -4, -7, -2, -2, -4, -2 ], [\
 7, -46, -28, -16, -13, -70, -15, 0, 0, 28, -7, -7, -28, -8, -8, -14, 0 ], [ 2, -15, -9, -6, -4, -21, -6, 0, 0, 8, -2, -2, -8, -4, -2, -4, 0 ], [ 2, -15, \
-9, -6, -4, -21, -4, 0, 0, 8, -2, -2, -8, -2, -4, -4, 0 ], [ 4, -24, -14, -8, -6, -36, -8, 0, 0, 14, -4, -4, -14, -4, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -\
4, -2, -2, -2, -2, -2, -2, 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 := [ [ -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, \
1, 0, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 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, 0, -1, -1, 0, 0, 0, 1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -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, -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, 0 ] ], adjweyl := [ -4, 3, 1, 1, -1, -4, 6, 2, 3, 2, -2, -3, -4, 1, 4, 3, -4, -6, 0, -1, 4, -2, -8, -4, -4, -1 ], embQ := [ [ 1, 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, 0, 0, 0, 3, -6, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, -3, 0, 0, 0, 5, 0 ], [ 0,\
 0, 1, 0, 0, 2, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0,\
 1, 3, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, -2, 0, \
2, 0, -4, 0, 0, -1, 8, 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, 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, 1, 0, 0, 1, -3, 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, 0, 1, 0, 0, -1, 0, 0, -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, 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, -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 ] ], embQperp := [ [ -1, 0, 0, 2, -2, 0, 1, 0, -2, 0, 1, 0, 0, -1, -1, -1, 0, 1, -2, -1, -2, 0, 0, 2, 2, 2 ], [ -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, -2, 2, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, 0 ], [ 1, 1, 1, -3, \
1, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, -2, -2, -1 ], [ 0, 0, 0, 1, 0, -3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0 ]\
, [ 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, 0, 1, 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1,\
 0, -1, -1, -1, -1, -1, 1, 0, 0 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, -1, 0, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, \
-1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 0, 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, 0, 0, 1, 0, 1, 0 ], [ -1,\
 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, -1, 0, 0, 1, 0, 1, 1 ], [ 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, 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, 0, 0, 0, 0, -1, 0,\
 0, 0, 0, 0, 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, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1 ], [ 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, \
0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -2,\
 1, 0, 0, 1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 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 ], [ 0, 0, 0, 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, 1, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1 ], [ -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, 0, -1, 0, 0, 0, 0,\
 1, 0 ], [ -1, 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, 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, -1, 2, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, -1 ], [ 0, 1, -2\
, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 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, 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, 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, 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, 0, 0, 0, 0 ], [ 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", "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\
, 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 := [ [ -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 0, 2, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 1, 1, 1, -1, 0, 1 ], [ -2, 0, 1, 0, 0, 0, 2\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1 ], [ -2, 0, 1, -1, 1, 0, 3, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 0, 1, 0, -2, -1, 1 ], [\
 -2, -2, 4, -2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, -3, -1, 0 ], [ -1, -3, 6, -3, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, -1, -1, 3, -1, 3, 2, \
3, 3, 3, -3, 0, 1 ], [ -1, -2, 3, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, -1, 0, 1 ], [ 0, -1, 2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0\
, 0, 1, -1, 1, 1, 1, 1, 1, -1, 0, -1 ], [ -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, \
1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1 ], [ -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 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, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -2, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, 1, 2, 1\
, 2, 0, 1, 1 ], [ -1, -2, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1 ], [ 1, -1, 3, -3, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, -2, -2\
, 3, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 0, 0, -1, 0, 0, -1, -1, -1, -1, 1, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, -1, -1, 1, 0, 0 ], [ 1, -1, 3, -\
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, \
-3, -1, -1, -2, -3, -2, -1, -1, -1, 0, -3, -4, -1, -2, -4, -2 ], [ -1, 26, 12, 14, -3, 22, -16, -1, 0, 0, 4, -1, -1, -4, -2, -2, 0 ], [ -2, 4, 2, 2, -2, 4\
, -6, -2, 0, 0, 2, -2, -2, -2, -4, -4, 0 ], [ -4, 2, 2, 2, -2, 2, -6, 0, 0, 0, 2, -4, -4, -2, -4, -8, 0 ], [ -2, -4, -2, -2, -2, -4, 0, -2, -2, -2, -2, -2\
, -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,\
 2, 0, 0, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 6, 12, 0, 0, 2, -12, 4, 0, 0 ], [ -2, -4, 0, 0, 0, 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, -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,\
 0, 0, 1, 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, -1, -1, 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, 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,\
 1, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 1, 1, 14, -4, -6, 0 ], [ 0, 0, 1, 0, 0, 2, -5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 7\
, -2, -2, 0 ], [ 0, 0, 0, 1, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 8, -2, -2, 0 ], [ 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 0, 0, -1, 0, -1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 4, -7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, 12, -3, -5, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, \
0, 0, 0, 0, 0, -1, 0, 2, 0, -2, 0, -9, 4, 4, 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, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 1, 0, 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, 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, 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 ] ], embQperp := [ [ -1, 0, 1, 1, -1, -1, 2, -2,\
 0, 0, 2, 0, 0, 1, -2, -2, 2, 1, 1, -1, 0, 0, 0, 2, 2, 3 ], [ -1, -1, 1, 0, 3, -5, 4, -4, 2, 0, 2, 0, 0, 5, -2, -2, 5, 1, 4, 0, 2, 0, 1, 2, 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 ], [ 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, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, -2, 1, -2, 4, -2, 0, -2, 0, 0, -3, 2, 2, -3,\
 -1, -4, 0, -1, 0, 0, -1, -1, -2 ], [ 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 := [ 6, 3\
, 8, 13, 12, 11, 8, 6, 4, 2 ], rlifts := [ [ 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, -3, 1, 1, 2, 0, -1, 0, 0, -1 ] ], rootsQ := [ [ 0, -1, \
0, 0, 0, 1, -1, 2, 0, 0, 0, -1, -1, 3, -2, 2, 0 ], [ 0, 1, 0, 0, 0, -1, 1, -2, 0, 0, 0, 1, 1, -3, 2, -2, 0 ], [ -1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, -1\
, 3, -1, 2, 1 ], [ 1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, -3, 1, -2, -1 ], [ 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -2, -1, 3, -1, 2, 1 ], [ 0, 1, 0, 0, 0, \
-1, 1, -1, 0, 0, 0, 2, 1, -3, 1, -2, -1 ], [ 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, -2, 3, -1, 2, 1 ], [ 0, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, 2, -3, 1, -\
2, -1 ], [ 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, 0, 3, -1, 1, 0 ], [ 0, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, 0, -3, 1, -1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 1,\
 0, 0, 0, 0, -1, 3, -1, 1, 0 ], [ 0, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, -3, 1, -1, 0 ], [ 1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, -1, 3, -1, 1, 0 ], [ -\
1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, -3, 1, -1, 0 ], [ 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, -1, 3, 0, 1, 1 ], [ 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1,\
 1, -3, 0, -1, -1 ], [ -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0 ], [ 1, 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, -1, 0, 0, -1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 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, 1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1,\
 0, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1 ], [ 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, 0, 0, 0, 0, 0, -1, 0, -1 ], [ -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 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, 1, 0, 0, 0, -1, -1 ], [ -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, 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, -1, -\
1, 1, 0, 0, 1, 0, 0, 1 ], [ 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, 0, -1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, \
-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, 0, 1, 0, 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, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 ], [ 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, 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, 0, -1, -1, 1, 0, 0, 1, 0\
, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 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, 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 ], [ -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, 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, 0 ], [ 0, 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 ] ], rootstypeQ := [ "D4", "D5" ], t\
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\
, 16, 0, 14, 0, -14, 0, 0, 0, 14, 14, -14, -42, 14, 14, 28, 0, -22, -8, -8, -6 ], [ -3, 19, 0, 1, 0, -19, 22, 0, 19, 0, -18, 0, 0, -1, 19, 18, -19, -58, 1\
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, \
0, 0, -14, 16, 0, 15, 0, -14, 0, 0, -1, 15, 14, -15, -46, 15, 14, 30, 0, -23, -8, -8, -7 ], [ 0, 12, 0, 0, 0, -12, 13, 0, 12, 0, -12, 0, 0, 0, 12, 12, -12\
, -36, 12, 12, 24, 0, -18, -6, -6, -6 ], [ 0, 6, 0, 0, 0, -6, 6, 1, 6, 0, -6, 0, 0, -1, 6, 6, -6, -19, 6, 6, 12, 0, -9, -3, -3, -4 ], [ 0, 6, 0, 0, 0, -6,\
 6, 0, 7, 0, -6, 0, 0, 0, 6, 6, -6, -18, 6, 6, 12, 0, -9, -3, -3, -3 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 2, 1, -2, 0, 0, -1, 2, 2, -2, -7, 2, 2, 4, 0, -3, -1, -\
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, \
0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 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, 2, -2, 0, -2, 0, 2, 0, 0, -\
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,\
 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 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, 0, 0, -2, 2, 0, 2, 0, -2,\
 0, 0, 0, 2, 2, -2, -6, 2, 2, 4, 0, -2, -1, -1, -1 ], [ 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, 0, 0, 2, 2, -2, -6, 2, 2, 4, 0, -3, 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 ] ]\
 ) ], 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\
, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 2, 1, 2, 4, 4, 4, 4, 3, 2, 1 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 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,\
 0, -4, 4, 4, 0, 8 ], [ -11, -16, -19, -14, -20, -7, -11, -5, 1, 1, -4, -7, 3, 1, -1, 4 ], [ -17, -26, -37, -20, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -\
1, 8 ], [ -8, -11, -20, -7, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -5, -13, -13, -11, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 2, -5, 4\
, -5, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 3, -1, 1, 1, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 2, 1, 4, 1, 3, 2, 1, -2, -1, -2, -\
1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -2, -7, -4, -7, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 2, 3, \
4, 3, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 2, 1, 4, 1, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, -1, 0, -1, -2, -1, 0, 0, 0, 0,\
 0, -2, 0 ], [ 4, 4, 8, 4, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], NK := "VII", NKisom := [ 16, 17, 5, 19, 10, 7, 9, 2, 18, 13, 20, 8, 3, 4, 15, 1, \
14, 6, 12, 11 ], No := 5, 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, -1, 1, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -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, 0, 0, 0, 0, 0, 0, 1, \
-1, 0, -1, 1, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1/2 ], [ 0, 0, 0, 0, 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, -1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 1/2, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 0, -1/\
2, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0, 0, -1/2, 1, -1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 1/2 ], [ 0, 0, 0, 0, 0, 1/2, -1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2, -1/2 ], [ 0\
, 0, 0, 0, -1/2, 1, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 1/2, -1, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 1/2 ], [ 0, -1, 1/2, 0, 0, 0,\
 0, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 0 ], [ 0, 1, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 0 ], [ -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0,\
 0, -1/2, 0 ], [ 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0 ], [ 1/2, 0, 0, -1, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, -1/2 ], [ -1/2, 0, \
0, 1, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 1/2 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 0 ], [ 0, -1/2, 1/2, -1/2, 0, 0, 0, 1\
/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0 ], [ 0, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0\
 ], [ 0, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, -1/2, 1/2, -1/2, 0, 0\
, 0, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, 0 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 0 ], [ -1/2, 0, 0, 1, 0, 0, 0, -1/2, 0, 0, 0, -1/2,\
 0, 0, -1/2, 1/2 ], [ 1/2, 0, 0, -1, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2, -1/2 ], [ 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, -1/2, 0 ], [ -1/2\
, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 1/2, 0 ], [ 0, 1, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 0 ], [ 0, -1, 1/2, 0, 0, 0, 0, 1/2, \
0, 0, 0, 1/2, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 1/2, -1, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, -1/2, 1/2 ], [ 0, 0, 0, 0, -1/2, 1, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/\
2, -1/2 ], [ 0, 0, 0, 0, 0, 1/2, -1, 1/2, 0, 0, 0, 1/2, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 0, -1/2, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 0,\
 0, 0, 1/2, 0, -1/2, 0, 0, -1/2, 0, 0, -1/2, 1/2 ], [ 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -\
1/2, 0, 0, -1, -1/2 ], [ 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2 ], [ 0, 0, 0, 0, 0, 0, -1/2, -1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0 ], [ 0, 0, 0,\
 0, 0, 0, 1/2, 1/2, -1/2, 0, 0, -1, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, -1/2, 1, -1, 0, 0, 0, 0, 0, 0, 1/2, 1 ], [ 0, 0, 0, 0, 0, 1/2, -1, 1, 0, 0, 0, 0, 0,\
 0, -1/2, -1 ], [ 0, 0, 0, 0, -1/2, 1, -1/2, 0, 0, 0, 0, 1, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 1/2, -1, 1/2, 0, 0, 0, 0, -1, 0, 0, -1/2, 0 ], [ 0, -1, 1/2, 0, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1/2, 1/2 ], [ 0, 1, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1/2, -1/2 ], [ -1/2, 1/2, 0, 0, 0, 0, 0, -1/2, -1/2, 0, 0, 0, 0\
, 0, 1/2, 1/2 ], [ 1/2, -1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 1/2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1/2, 0 ], [ -1/2, 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1/2, 0 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, -1/2, 1/2, -1/2, 0, 0, 0, 1, 0, 0, 0, 0\
, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 1/2, -1/2, 1/2, 0, -1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, -1/2, 1/2, -1/2, 0, 1/2, 0, 0, 0, -1/2, 0, 0, -1/2, -\
1/2 ], [ 0, 0, 0, -1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2 ], [ 0, 0, 0, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2 ], [ 0, -1/\
2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1/2, 1/2 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1/2, -1/2 ], [ -1/2, 0, 0, 1, 0, 0, 0, -1, 0,\
 0, 0, 0, 0, 0, 1/2, 1 ], [ 1/2, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1/2, -1 ], [ 1/2, -1/2, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2 ], [ -\
1/2, 1/2, 0, 0, 0, 0, 0, 1/2, -1/2, 0, 0, -1, 0, 0, -1/2, -1/2 ], [ 0, 1, -1/2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1/2, 1/2 ], [ 0, -1, 1/2, 0, 0, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, -1/2, -1/2 ], [ 0, 0, 0, 0, 1/2, -1, 1/2, -1, 0, 0, 0, 0, 0, 0, 1/2, 1 ], [ 0, 0, 0, 0, -1/2, 1, -1/2, 1, 0, 0, 0, 0, 0, 0, -1/2, -1 ],\
 [ 0, 0, 0, 0, 0, 1/2, -1, 0, 0, 0, 0, 1, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, -1/2, 1, 0, 0, 0, 0, -1, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, \
0, 0, 0, 0, 0, 1/2, 1 ], [ 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 0, -1/2, -1 ], [ 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, -1/2, 1, -1, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1/2, -1, 1, -1/2, -1/\
2, 0, 0, -1, 0, 0, 0, 1 ], [ 0, -1, 1/2, 0, 0, 0, -1/2, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 1, -1/2, 0, 0, 0, 1/2, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1/2\
 ], [ -1/2, 1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, -1/2, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, 0, 0, -1, 0, 0, -1/\
2, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1 ], [ -1/2, 0, 0, 1, 0, 0, 1/2, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1/2, -1/2, 1/2, 0, 0, -1/2, -1/2, 1/2, 0, 0, 0, \
0, 0, 0, -1/2 ], [ 0, -1/2, 1/2, -1/2, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, -1/2, 1/2, -1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0, -1/2 ],\
 [ 0, 0, 0, -1/2, 1/2, -1/2, 1/2, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 0, 0, -1/2, 1/2, -1/2, -1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, 1/\
2, -1/2, 1/2, 1/2, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, -1/2, 1/2, -1/2, 0, 0, -1/2, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 1/2, -1/2, 1/2, 0, 0, 1\
/2, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1/2 ], [ -1/2, 0, 0, 1, 0, 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 0, 0, -1, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0\
, 0, 0, 0 ], [ 1/2, -1/2, 0, 0, 0, 0, -1/2, 0, 1, 0, 0, 1, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 0, 0, 0, 1/2, 0, -1, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, 1, -1/2, 0\
, 0, 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, -1, 1/2, 0, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 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, 1/2, -3/2, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, \
0, 0, -1/2, 3/2, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1 ], [ 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, -1, 1/2, 0, 0, -1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 1, -1/2, 0, 0, 1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0,\
 0, 0, -1/2, 1, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1/2 ], [ 1/2, -1/2, 0, 0, 0, 1/2, -1, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1/2 ], [ 1/2, 0, 0, -1, 0, -1/2, 1, 0, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, 0, 0, 1, 0, 1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, -1/2, 1/2, 0, -1/2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, \
-1/2, 1/2, -1/2, 0, 1/2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 0, 0, 1/2, -1/2, 0, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 0, 0, -1/2, 1/2, 0, -1,\
 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, -1/2, 1/2, -1, 1, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, -1/2, 1, -1, 1/2, 0, 0, 0, 1/2, 0, \
0, 0, -1/2 ], [ 0, -1/2, 1/2, -1/2, 0, -1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 1/2, -1/2, 1/2, 0, 1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, 0,\
 0, 1, 0, -1/2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1/2, 0, 0, -1, 0, 1/2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 1/2, -1/2, 0, 0, 0, -1/2, 1, -1/2, 1/2, 0, \
0, 0, 0, 0, 0, 1/2 ], [ -1/2, 1/2, 0, 0, 0, 1/2, -1, 1/2, -1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 1, -1/2, 0, 0, -1/2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ \
0, -1, 1/2, 0, 0, 1/2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 1/2, -3/2, 3/2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1/2, 3/2, -3/2, 1, \
0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, -1, 1/2, 0, -1/2, 1, -1/2, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 1, -1/2, 0, 1/2, -1, 1/2, -1, 0, 0, 0, -1, 0, 0, 0, 1/2 ],\
 [ -1/2, 1/2, 0, 0, -1/2, 1, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, -1/2, 0, 0, 1/2, -1, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, 0, 0, \
-1, -1/2, 1, -1/2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1/2, 0, 0, 1, 1/2, -1, 1/2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1/2, -1/2, 1/2, -1/2, 1, -1/2, 0, 0, 0\
, 0, 0, 0, 0, 0, -1/2 ], [ 0, -1/2, 1/2, -1/2, 1/2, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, -1, 3/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/\
2 ], [ 0, 0, 0, -1/2, 1, -3/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 0, 0, -1/2, 0, 1/2, -1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, 1/2\
, 0, -1/2, 1/2, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, -1/2, 1/2, -1/2, -1/2, 1, -1/2, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ 0, 1/2, -1/2, 1/2, 1/2, -1, 1/\
2, -1, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ -1/2, 0, 0, 1, -1/2, 1, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 0, 0, -1, 1/2, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 \
], [ 1/2, -1/2, 0, 0, -1/2, 1, -1/2, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1/2 ], [ -1/2, 1/2, 0, 0, 1/2, -1, 1/2, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, 1, -1\
/2, 0, -1/2, 1, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, -1, 1/2, 0, 1/2, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ -1/2, -1/2, 1/2, 0, 0, 0, 0, 1/2, -1\
/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 1/2, -1/2, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, -1, 1/2, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ \
-1/2, 1, -1/2, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1/2 ], [ 0, 1/2, 0, -1, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, -1/2, 0, 1, 0, 0, 0, -1/2,\
 1/2, 0, 0, 0, 0, 0, 0, 1/2 ], [ 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\
, -1/2, 1/2, 0, 0, 0, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 0 ], [ 1/2, -1, 1/2, -1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 0, 0, 0 ], [ 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, 1/2 ], [ 0, -1, 1/2, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0,\
 0, 0 ], [ 0, 1, -1/2, -1/2, 1/2, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ -1/2, 1/2, 0, 1/2, -1/2, 1/2, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 0 ], [ 1/2,\
 -1/2, 0, -1/2, 1/2, -1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 0, 0 ], [ 1/2, 0, 0, -1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ -1/2, 0, 0, 1/2, 1/2\
, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 1/2, -1/2, 1, -1/2, 1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, -1/2, 1/2, -1, 1/2, -1/2, 0, 1/2,\
 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, -1, 1/2, -1/2, 1/2, -1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, 1, -1/2, 1/2, -1/2, 1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0\
, 0, 0 ], [ -1/2, 1/2, 0, -1/2, 1/2, -1/2, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 0 ], [ 1/2, -1/2, 0, 1/2, -1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 0, 0 ], [ 1/2\
, 0, 0, -3/2, 1/2, -1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ -1/2, 0, 0, 3/2, -1/2, 1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 1/2 ], [ 0, 1/2, -1/2, 0, 1\
/2, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, -1/2, 1/2, 0, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, -3/2, 1, -1/2, 0, 0, 0, 1, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 0, 3/2, -1, 1/2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, -1/2, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 0, -1\
/2, 1/2, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, -1/2, 1/2, -3/2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1/2 ], [ -1/2, 1/2, -1/2, 3/2, 0, 0, 0, -1, \
0, 0, 0, -1, 0, 0, 0, 1/2 ], [ -1/2, -1, 1/2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 1/2, 1, -1/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/\
2, -3/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 0, 0, 0 ], [ -1/2, 3/2, -1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 0, -1, 0, 0, 0, 0 ], [ -1, 1/2, 0, 1, 0, 0, 0, -1\
/2, -1/2, 0, 0, -1, 0, 0, 0, 1/2 ], [ 1, -1/2, 0, -1, 0, 0, 0, 1/2, 1/2, 0, 0, 1, 0, 0, 0, -1/2 ] ], embR := [ [ 1, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 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 ], [ 0, 0, 3, 0, -2, 0, 0, 0, -\
2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, -2, 0 ], [ 0, 0, 0, 1, -1, 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, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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 := [ [ -3, 0, 1, 1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1,\
 2 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -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, 0, -1, 0, -1, 1, -1 ], [ 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, \
0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1,\
 -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, \
0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0\
, 0, -1, 0, 0, -1 ] ], generatorsOL10D := [ [ [ -19, -10, -20, -33, -27, -21, -15, -12, -8, -4 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 6, 13, 21, 17, 1\
3, 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 ], [ 8, 4, 8, 13, 11, 9, 7, 5, 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 ] ], [ [ -7, -4, -8, -13, -11, -9, -7, -5, -3, 0 ], [ \
0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 7, 11, 9, 7, 5, 3, 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, 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 ], [ 8, 4, 8, 13, 11, 9, 7, 5, 3, 1 ] ],\
 [ [ -15, -8, -18, -28, -23, -17, -11, -8, -5, -2 ], [ 10, 6, 12, 18, 14, 10, 7, 5, 3, 1 ], [ 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, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 12, 6, 13, 21, 17, 13, 9, 6, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 1, 0 ], [ 6, 3, 7, 11, 9, 7, 5, 3, 1, 0 ] ], [ [ -23, -12, -27, -42, -33, -24, -18, -12, -8, -4 ], [ 10, 5, 11, 17, 13, 10, 8, 6, 4, 2 \
], [ 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 ], [ 12, 6, 13, 21, 17, 13, 9, 6, 4, 2 ], [ 0, 0, 0,\
 0, 0, 0, 1, 0, 0, 0 ], [ 10, 6, 12, 18, 14, 10, 7, 5, 3, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ] ], interiorpt := [ 60,\
 33, 68, 105, 84, 65, 48, 33, 20, 9 ], isomto := [ "20D", [ 3, 15, 1, 17, 2, 8, 11, 18, 13, 14, 16, 10, 5, 6, 19, 4, 12, 7, 9, 20 ] ], m4R := 1632, name :\
= "20C", ogR := 171228266496000, orderOL10D := 120, projR := [ [ 3/2, -3/2, 0, 0, 0, 0, 0, -3/2, 3/2, 0, 0, 3, 0, 0, 3/2, 2 ], [ 1/2, -1/2, 0, 0, 0, 0, 0,\
 -1, 1/2, 0, 0, 2, 0, 0, 1, 1 ], [ 3/2, -5/2, 1/2, 0, 0, 0, 0, -3/2, 3/2, 0, 0, 4, 0, 0, 2, 2 ], [ 2, -7/2, 1/2, 1/2, 0, 0, 0, -5/2, 2, 0, 0, 6, 0, 0, 3, \
3 ], [ 5/2, -5/2, 0, -1/2, 0, 0, 0, -2, 2, 0, 0, 5, 0, 0, 5/2, 5/2 ], [ 3/2, -5/2, 1/2, -1/2, 0, 0, 0, -3/2, 1, 0, 0, 5, 0, 0, 5/2, 2 ], [ 3/2, -3/2, 0, -\
1/2, -1/2, 1, -1/2, -1, 1, 0, 0, 4, 0, 0, 2, 3/2 ], [ 1, -1, 0, -1/2, -1/2, 1/2, 1/2, -1, 1/2, 0, 0, 3, 0, 0, 3/2, 1 ], [ 1/2, -1/2, 0, -1/2, -1/2, 1/2, 0\
, -1/2, 1/2, 0, 0, 2, 0, 0, 1, 1/2 ], [ 1/2, 0, 0, -1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0, 0, 1/2, 0 ], [ 1/2, -1/2, 0, -1/2, -1/2, 1/2, 0, 0, 1/2, 0, 0, \
3/2, 0, 0, 1, 0 ], [ 1/2, 0, 0, -1/2, -1/2, 1/2, 0, -1/2, 0, 0, 0, 3/2, 0, 0, 1, 1/2 ], [ 1/2, 0, 0, -1/2, -1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 0, 0, -1/2 \
], [ -1/2, -1/2, 1/2, 0, 0, 0, 0, 1/2, -1/2, 0, 1, 0, 0, 0, 0, 0 ], [ -1/2, -1/2, 1/2, 0, 0, 0, 0, 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 ], [ 1/2, 0, 0, -1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0, 1, -1/2 ], [ \
1/2, 0, 0, -1/2, -1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0, -1/2 ], [ 1/2, 1/2, -1/2, 0, -1/2, 1/2, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ -1/2, 0, 0, 0,\
 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/2, 1/2, -1/2, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1/2, -1/2, -1/2, -1/2, 1/2, 0, 0, 1/2, 0,\
 0, 1/2, 0, 0, 0, -1/2 ], [ 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, -1/2 ], [ -1/2, -1, 1/2, 1/2, 0, 0, 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, 0, 1 ] ], projS := [ [ 14, 8, 35/2, 27, 45/2, 18, 27/2, 9, 9/2, 3 ], [ 19/2, 5, 23/2, 18, 15, 12, 9, 6, 3, 2 ]\
, [ 19, 21/2, 23, 36, 30, 24, 18, 12, 6, 4 ], [ 57/2, 31/2, 35, 54, 45, 36, 27, 18, 9, 6 ], [ 24, 27/2, 59/2, 91/2, 75/2, 30, 45/2, 15, 15/2, 5 ], [ 39/2,\
 21/2, 24, 37, 61/2, 49/2, 37/2, 25/2, 13/2, 9/2 ], [ 15, 17/2, 37/2, 57/2, 47/2, 19, 14, 19/2, 5, 7/2 ], [ 21/2, 6, 13, 20, 33/2, 27/2, 10, 13/2, 7/2, 5/\
2 ], [ 6, 7/2, 15/2, 23/2, 19/2, 8, 6, 4, 2, 3/2 ], [ 3/2, 1, 2, 3, 2, 2, 3/2, 1, 1/2, 1/2 ], [ 3, 3/2, 7/2, 11/2, 9/2, 4, 3, 2, 1, 1 ], [ 3, 2, 4, 6, 9/2\
, 4, 3, 2, 1, 1 ], [ 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 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, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1/2, 0, 0, 1/2, 0, 0 ], [ 0, 1/2, 0, 0, 0, 0, 1/2, 0, 0, 0\
 ], [ 0, 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, -1/2, 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, 0, 0, 0 ] ], rootsR := [ [ 0, 0, 0, 0, 0, 0, 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, -1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1,\
 1, 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, -1, 0, -1, 1, 0, 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, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -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, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 1 ], [ 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, -1, 0, 0, \
0, -1, 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, -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, -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, \
1, 0, 0, 0, -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, 1, -1, 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, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1 ], [ 0, 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, 0, 1, 0, 0, -1 ], [ 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, 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, -1, 0, 0, 1, 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, 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, 1, 1, -1, 0, 0, 0, \
-1 ], [ 0, 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, 1, -1, 0, 0, 0, -1 ], [ 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, 1, 0, 0, 0, 0, 0, -1 ], [ 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, \
-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, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1, -1, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 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, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, \
0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ -1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, \
0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ]\
, [ 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0,\
 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, -1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeR := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D6\
" ], volindex := 60480, wallrecs := [ rec( GramQ := [ [ -736, -768, -410, -1152, -1116, -160, -108, -68, 12, -24, 12, 0, -12, 12, 12, 0, 24 ], [ -768, -81\
0, -428, -1210, -1169, -169, -111, -76, 5, -28, 11, -4, -17, 13, 11, -1, 24 ], [ -410, -428, -230, -642, -620, -90, -60, -38, 7, -13, 7, 0, -7, 7, 7, 0, 1\
4 ], [ -1152, -1210, -642, -1812, -1751, -253, -167, -112, 12, -39, 18, -4, -24, 20, 18, -1, 38 ], [ -1116, -1169, -620, -1751, -1704, -233, -160, -101, 1\
7, -40, 17, 0, -17, 17, 17, 0, 34 ], [ -160, -169, -90, -253, -233, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ -108, -111, -60, -167, -160, -27, -\
18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -68, -76, -38, -112, -101, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 12, 5, 7, 12, 17, -3, 2, -5, -10, \
-3, -2, -4, -4, 0, -2, -2, -2 ], [ -24, -28, -13, -39, -40, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 12, 11, 7, 18, 17, 3, 2, 1, -2, -1, -2, -1, \
0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -12, -17, -7, -24, -17, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], \
[ 12, 13, 7, 20, 17, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 12, 11, 7, 18, 17, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0\
, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 24, 24, 14, 38, 34, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], GramQperp := [ [ -116, 0, 0, 24, 0, 10, 10, 0, 0\
 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 24, 0, 2, -8, 2, -2, -2, 0, 0 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 10, 0, 0, -2, 2, \
-4, 0, 0, 0 ], [ 10, 0, 0, -2, 0, 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, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, -1, 0, 0, 0, 0 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0\
, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 \
], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -72, 4, 16, 16, -12, 16, 16, 16, 22, 18, -21, -54, 3, -2, -36, 1, 1, 2, -2, -16, -18, -5, -2, -19, -33, 24 ], embQ := \
[ [ 1, 0, 0, 0, 1, 0, 0, 0, -14, 0, 0, 10, 0, 0, 0, 0, 0, 0, 6, 12, 14, -14, -4, -3, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 0, 0, -13, 1, 0, 9, 0, 0, 0, 0, 0, 0, 6, \
12, 14, -14, -5, -4, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 3, 6, 7, -8, -2, -2, -1, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, -20, 1, 0, \
14, 0, 0, 0, 0, 0, 0, 9, 18, 21, -21, -7, -6, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -19, 0, 0, 14, 0, 0, 0, 0, 0, 0, 9, 18, 21, -22, -7, -6, -1, 0 ], [ 0, 0,\
 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0\
, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, \
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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 0, 2, 2, 0, 5, -5, -5, 3, -2, 2, 0, 0, 0, 0, 0, 0, 0, -5, 5, 0, -\
5, 7, 0, -2, 4 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -1, 0, 0, -1, 0 ], [ 1, 1, -1, -1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1, -1 ], [ 1, 0, 1, -1, 0, -1, 1, 0, \
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, \
0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1,\
 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 16, 9, 18, 27, 22, 17, 12, 9, 6, 3 ], rli\
fts := [ [ -4, 0, 1, 1, -1, 1, 1, 1, 1, 1, -1, -3, 0, 0, -2, 0, 0, 0, 0, -1, -1, 0, 0, -1, -2, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1\
, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, \
0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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\
, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 4, 0, -1, -1, \
-1, -1, -1, -1, 1, 1, -1, 1, 2, 1, -1, 0, -1 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -2, -1, 1, 0, 1 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -2,\
 1, -1, 0, 2 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 2, -1, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 2, 0, 1, 0, -2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, 0, -1, 0, 2 ], [ -4\
, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, 0, 1, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 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, -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, 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, 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, 1, -1, 1, 0, 0,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1\
, 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, 0, 1 ], [ 4, 0, -1, -1, -1,\
 -1, -1, -1, 1, 1, 0, 0, 2, 1, 0, 0, -2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, -1, 0, 0, 2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, 1, 0, \
0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 2, -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, -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, 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, 1, -1, 0, 0, 0, -1 ]\
, [ 0, 0, 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, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 1, 0, 0, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 1, 1, 0, 0, 0, -2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 2 ], [ -4, 0, 1, 1,\
 1, 1, 1, 1, -1, -1, 0, 1, -3, 0, 0, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, -1, 3, 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, 0, 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, -1, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 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, 1, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, 2, 0, 0, 0, -\
2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, 0, -2, 0, 0, 0, 2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 1, 0, -2, 0, 0, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1\
, 1, 1, -1, 0, 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, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 4, 0, -1\
, -1, -1, -1, -1, -1, 1, 1, 0, 0, 2, 0, 0, 0, -2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2, 0, 0, 0, 2 ], [ -4, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, -2\
, 0, 0, 0, 1 ], [ 4, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 2, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [\
 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, \
0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 1\
, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 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, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "D7" ], theg := [ [ -79, -45, -90, -135, -110, -85, -60, -45, -30, -15 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0,\
 1, 0, 0, 0, 0, 0, 0, 0 ], [ 32, 18, 36, 55, 44, 34, 24, 18, 12, 6 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 32, 18, 36, 54\
, 44, 34, 25, 18, 12, 6 ], [ 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 := [ [ -90, 3\
, 22, 22, -22, 22, 22, 22, 25, 31, -25, -69, 0, 0, -50, 0, 0, -3, 0, -22, -22, -3, -3, -22, -44, 29 ], [ -53, 2, 13, 13, -13, 13, 13, 13, 14, 18, -14, -41\
, 1, 0, -30, 0, 0, -2, 0, -13, -13, -2, -2, -13, -26, 17 ], [ -107, 5, 26, 26, -26, 26, 26, 26, 29, 37, -29, -82, 0, 0, -60, 0, 0, -4, 0, -26, -26, -4, -3\
, -26, -52, 35 ], [ -160, 7, 39, 39, -39, 39, 39, 39, 43, 55, -43, -123, 1, 0, -90, 0, 0, -6, 0, -39, -39, -7, -5, -39, -79, 52 ], [ -133, 5, 32, 33, -32,\
 32, 32, 32, 36, 46, -36, -101, 0, 0, -74, 0, 0, -5, 0, -32, -32, -6, -4, -33, -65, 43 ], [ -111, 5, 26, 28, -28, 28, 27, 27, 29, 39, -29, -86, 1, 0, -64,\
 0, 0, -5, 0, -27, -27, -6, -3, -28, -55, 36 ], [ -83, 3, 20, 21, -21, 21, 19, 21, 22, 30, -22, -64, 0, 0, -48, 0, 0, -4, 0, -21, -20, -4, -2, -21, -41, 2\
7 ], [ -62, 2, 15, 16, -16, 16, 14, 15, 17, 22, -16, -48, 1, 0, -36, 0, 0, -3, -1, -16, -15, -3, -1, -16, -31, 20 ], [ -41, 1, 10, 11, -11, 11, 9, 10, 10,\
 15, -11, -31, 0, 0, -24, 0, 0, -2, 0, -10, -9, -2, 0, -10, -20, 14 ], [ -13, 0, 2, 4, -3, 4, 2, 3, 3, 4, -3, -9, 1, 0, -8, 0, 0, -1, 0, -3, -2, -1, 0, -4\
, -6, 4 ], [ -17, 1, 4, 5, -5, 5, 3, 4, 3, 7, -4, -12, 0, 0, -11, 0, 0, -2, 0, -4, -3, -2, 1, -4, -8, 6 ], [ -25, 0, 5, 7, -6, 7, 5, 6, 6, 10, -6, -19, 0,\
 0, -15, 0, 0, -2, 0, -6, -5, -2, 0, -7, -12, 8 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 ], [ 1, 1, -1, 0, 0\
, 0, 0, 0, -1, -1, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 2, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0\
, -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -9, -1, 3, 2, -2, 3, 1, 1, 4, 3, -3, -6, 0, 0, -4, 0, 0, 0, -1, -2, -2, 1, 0, -2, -4, 3 ], [ 1, 0, 1, 0, -1, -1\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ \
-2, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 8, 0, -2, -1, 1, -2, -2, -2, -3, -3, 3, 6, 0, 0, 4, 0, 0, 0, 0, 2,\
 2, -1, 1, 2, 3, -2 ], [ 1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 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, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -304, -272, -138, -420, -408, 32, 32, 20, 0, 24, 0, 0, 0, 0, 0, 0, 0 ], [ -272, -250, -124, -3\
82, -365, 23, 29, 12, -7, 20, -1, -4, -5, 1, -1, -1, 0 ], [ -138, -124, -66, -192, -182, 6, 10, 6, 1, 11, 1, 0, -1, 1, 1, 0, 2 ], [ -420, -382, -192, -588\
, -563, 35, 43, 20, -6, 33, 0, -4, -6, 2, 0, -1, 2 ], [ -408, -365, -182, -563, -552, 55, 50, 31, -1, 32, -1, 0, 1, -1, -1, 0, -2 ], [ 32, 23, 6, 35, 55, \
-50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ 32, 29, 10, 43, 50, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ 20, 12, 6, 20, 31, -23, -11, -14, -\
5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 0, -7, 1, -6, -1, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 24, 20, 11, 33, 32, -3, -3, -2, -3, -6, -1, 0, 1, \
-1, -1, -1, -2 ], [ 0, -1, 1, 0, -1, 3, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ 0, -5,\
 -1, -6, 1, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 0, 1, 1, 2, -1, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 0, -1, 1, 0, -1, 3, 2, 1, -2, -1, -\
1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 2, 2, -2, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], G\
ramQperp := [ [ -116, 0, 20, 4, 0, 20, 0, 10, 10 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 20, 2, -8, 2, 0, -4, 0, -2, -2 ], [ 4, 0, 2, -4, 2, 0, 0, 0, 0 ], [ \
0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 20, 0, -4, 0, 2, -8, 2, -2, -2 ], [ 0, 0, 0, 0, 0, 2, -4, 2, 0 ], [ 10, 0, -2, 0, 0, -2, 2, -4, 0 ], [ 10, 0, -2, 0, 0, -2\
, 0, 0, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -\
1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [\
 -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0,\
 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -72, 16, 16, 4, 12, 4, 16, 4, 22, 18, -21, -42, 3, -2, -24, 1, 1\
, 2, -2, -4, -18, -5, -14, -19, -21, 12 ], embQ := [ [ 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -4, -6, 10, 4, 5, 4, 0 ], [ 0, 1, 0, 0,\
 1, 0, 0, 0, -1, 1, 0, -3, 0, 0, 0, 0, 0, 0, -2, -4, -6, 10, 3, 4, 3, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, -2, -3, 4, 2, 2, \
1, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, -2, 1, 0, -4, 0, 0, 0, 0, 0, 0, -3, -6, -9, 15, 5, 6, 5, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, -4, 0, 0, 0, 0, 0, 0, \
-3, -6, -9, 14, 5, 6, 5, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0\
, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 0, 2, 2, -10, 10, 0, 5, 8, -\
7, -3, -15, 0, 0, -5, 0, 0, 5, -5, -5, -5, -5, 12, -5, -7, 9 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0 ], [ 0,\
 -1, -1, 1, 2, -2, 0, -1, -2, 1, 1, 3, 0, 0, 1, 0, 0, -1, 1, 1, 1, 0, -2, 1, 0, -1 ], [ 1, 1, -1, -1, 1, 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, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, 1, -2, -1, 0, -2, 1, 1, 3, 0, 0, 0\
, 0, 0, -1, 1, 0, 2, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1,\
 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 20\
, 11, 22, 35, 28, 21, 16, 11, 6, 3 ], rlifts := [ [ -4, 1, 1, 0, 1, 0, 1, 0, 1, 1, -1, -2, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0 ] ], rootsQ := [ \
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2\
, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 1, 0\
, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, \
0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1\
, -1, 0, -1, 1, 0, -1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, -1, 1, -1, 1, -1, 0, 1 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 1, -1, 1, -1, 1, 0, -1 ], [ 4, -1\
, -1, 0, -2, 0, -1, 0, 0, 1, -1, 1, 1, 1, -1, 0, 0 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 1, -1, -1, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1,\
 -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, \
0, 0, 1, 0, -1, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 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, 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, 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, -1, 0, 0,\
 0 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, \
0, 1, 0, 0, 1, 1, 0, 0, -1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, -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, 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, 1, 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, 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, -1 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 1, -2, 0, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0 ], \
[ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1 ], [ 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, -1, 1, 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, 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, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -4, 1\
, 1, 0, 2, 0, 1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 1, 0, 1\
, 0, 0, 0, -1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, -1, 0, -1, 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, 1 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ \
1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 4, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 0, \
1, 0, 0, 0, 0 ], [ -4, 1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 1, 0\
, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 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, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "A1", "A1", "A1", "D7" ], theg := [ [ -99, -55, -110, -175, -140, -105, -80, -55, -30, -15 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 40, 22\
, 45, 70, 56, 42, 32, 22, 12, 6 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 40, 22, 44, 70, 56, 43, 32, 22, 12, 6 ], [ 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 40, 22, 44, 70, 56, 42, 32, 22, 13, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ \
[ -82, 23, 20, 0, 20, 0, 20, 0, 23, 29, -23, -43, 0, 0, -26, 0, 0, -3, 0, 0, -20, -3, -23, -20, -20, 6 ], [ -45, 13, 11, 0, 11, 0, 11, 0, 12, 16, -12, -24\
, 1, 0, -15, 0, 0, -2, 0, 0, -11, -2, -13, -11, -11, 3 ], [ -91, 27, 22, 0, 22, 0, 22, 0, 25, 33, -25, -48, 0, 0, -30, 0, 0, -4, 0, 0, -22, -4, -25, -22, \
-22, 7 ], [ -144, 42, 35, 0, 35, 0, 35, 0, 39, 51, -39, -76, 1, 0, -47, 0, 0, -6, 0, 0, -35, -7, -40, -35, -36, 11 ], [ -117, 33, 28, 1, 28, 0, 28, 0, 32,\
 42, -32, -61, 0, 0, -38, 0, 0, -5, 0, 0, -28, -6, -32, -29, -29, 9 ], [ -103, 30, 24, 1, 24, 1, 25, 0, 27, 37, -27, -55, 1, 0, -35, 0, 0, -5, 0, 0, -25, \
-6, -28, -26, -26, 8 ], [ -83, 23, 20, 1, 19, 1, 19, 1, 22, 30, -22, -44, 0, 0, -28, 0, 0, -4, 0, -1, -20, -4, -22, -21, -21, 7 ], [ -62, 17, 15, 1, 14, 1\
, 14, 0, 17, 22, -16, -33, 1, 0, -21, 0, 0, -3, -1, -1, -15, -3, -16, -16, -16, 5 ], [ -41, 11, 10, 1, 9, 1, 9, 0, 10, 15, -11, -21, 0, 0, -14, 0, 0, -2, \
0, 0, -9, -2, -10, -10, -10, 4 ], [ -13, 3, 2, 1, 3, 1, 2, 0, 3, 4, -3, -6, 1, 0, -5, 0, 0, -1, 0, 0, -2, -1, -3, -4, -3, 1 ], [ -17, 5, 4, 1, 3, 1, 3, 0,\
 3, 7, -4, -8, 0, 0, -7, 0, 0, -2, 0, 0, -3, -2, -3, -4, -4, 2 ], [ -25, 6, 5, 1, 6, 1, 5, 0, 6, 10, -6, -13, 0, 0, -9, 0, 0, -2, 0, 0, -5, -2, -6, -7, -6\
, 2 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 2, -1, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 0, 0, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 2, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, \
0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -\
1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0 ], [ -7, 2, 3, 0, 1, -1, 2, 1, 2, 2, -2, -4, 0, 0, -2, 0, 0, 0, 0, -1, -\
3, 1, -2, -1, -2, 1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ -2, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, 0, 0, \
0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1 ], [ 9, 0, -2, -1, -2, 0, -\
2, 0, -3, -3, 3, 4, 0, 0, 2, 0, 0, 0, 0, 0, 2, -1, 3, 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 ] ] ), r\
ec( GramQ := [ [ -196, -172, -93, -267, -249, -2, 8, 6, 2, 18, 2, 0, -2, 2, 2, 0, 4 ], [ -172, -158, -83, -241, -218, -11, 5, -2, -5, 14, 1, -4, -7, 3, 1,\
 -1, 4 ], [ -93, -83, -48, -129, -116, -11, -2, -1, 2, 8, 2, 0, -2, 2, 2, 0, 4 ], [ -267, -241, -129, -372, -338, -16, 7, -1, -3, 24, 3, -4, -9, 5, 3, -1,\
 8 ], [ -249, -218, -116, -338, -318, 4, 14, 10, 2, 23, 2, 0, -2, 2, 2, 0, 4 ], [ -2, -11, -11, -16, 4, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [\
 8, 5, -2, 7, 14, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ 6, -2, -1, -1, 10, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 2, -5, 2, -3, 2, -\
3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 18, 14, 8, 24, 23, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 2, 1, 2, 3, 2, 3, 2, 1, -2, -1, -2,\
 -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -2, -7, -2, -9, -2, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ],\
 [ 2, 3, 2, 5, 2, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 2, 1, 2, 3, 2, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -\
2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 4, 4, 4, 8, 4, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], GramQperp := [ [ -68, 0, 0, 18, 16, 0, 0, 24, 8 ], [ 0, -4, \
2, 0, 0, 0, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 18, 0, 2, -8, -2, 0, 0, -6, -2 ], [ 16, 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 ], [ 24, 0, 0, -6, -6, 0, 2, -12, -2 ], [ 8, 0, 0, -2, -2, 0, 0, -2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, \
0, 0, -1, 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, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0,\
 -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ -4, 0, 0, 2, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ \
0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0 ] ], adjweyl := [ -38, 4, 6, 8, 2, 4, 4, 6, 14, 8, -11, -24, 3, -2, -16, 1, 1, 2, -4, -6, -8, -9, 0, -11, -15, 10 ], embQ := [ [ 1, 0, 0, 0, \
1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 6, 5, 2, 0 ], [ 0, 1, 0, 0, 1, 0, 0, 0, -3, 1, 0, -1, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 5, 4, 1, \
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 3, 2, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, -5, 1, 0, -1, 0, 0, 0, 0, 0, 0, -3, -\
3, -3, 6, 8, 6, 2, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, -1, 0, 0, 0, 0, 0, 0, -3, -3, -3, 5, 8, 6, 2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0\
, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2,\
 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 1, -8, 8, 0, 4, 7, -5, -3, -12, 0, 0, -4, 0, 0, 4, -4, -4, -4, -4, 9, -4, -5, 6 ], [ -1, -1, 1,\
 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -1, 0, 0, -1,\
 0 ], [ 1, 1, -1, -1, 3, -2, 0, -1, -2, 1, 1, 3, 0, 0, 1, 0, 0, -1, 1, 1, 1, 0, -2, 0, 2, -2 ], [ 1, 0, 1, -1, 2, -3, 1, -1, -2, 1, 1, 3, 0, 0, 2, 0, 0, -\
1, 1, 1, 0, 3, -4, 2, 1, -2 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, -2, 1, -2, -3, 2, 0, 4, 0, 0, 1, 0, 0, -1, 3, 2, 2, 3, -4, 2, 2, -1 ], [ 0, 0, 0, 0, 0,\
 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 14, 8, 16, 24, 19, 15, 11, 7, 4, 2 ], rlifts := [ [ -4, 0, 0, 2, 0, 0, 0, \
0, 2, 0, 0, -2, 0, 0, -1, 0, 0, 0, -1, -1, -1, -1, 1, -2, -2, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 1, 0, 0, 0, -1, 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, 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, -1, 1, 0, 2\
, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, \
-1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 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, 0, -1, 1, 0, 1, -2, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -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, 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, 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, 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, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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, 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, -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, -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, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, 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, -1 ], [ 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, 1, -1, \
0, 0, 0, -1 ], [ 0, 0, 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, 1, 1, -1, 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, 0, 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, -1, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 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, 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, -1, 2, -1, 0, 0, \
0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -\
1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], \
[ 3, 0, -1, 0, -2, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ -3, 0, 1, 0, 2, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 4, 0, 0, -2, -1, 0, 0, -1, 1, 1, 0,\
 0, 2, 0, 0, 0, -2 ], [ -4, 0, 0, 2, 1, 0, 0, 1, -1, -1, 0, 0, -2, 0, 0, 0, 2 ], [ -4, 0, 0, 2, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 4, 0, 0, -2, \
-1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, \
-1 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0,\
 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 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,\
 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]\
 ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D6" ], theg := [ [ -55, -32, -64, -96, -76, -60, -44, -28, -16, -8 ], [ 0, 1, 0\
, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 14, 8, 16, 25, 19, 15, 11, 7, 4, 2 ], [ 14, 8, 16, 24, 20, 15, 11, 7, 4, 2 ], [ 0, 0, 0, 0, 0\
, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 14, 8, 16, 24, 19, 15, 11, 8, 4, 2 ], [ 14, 8, 16, 24, 19, 15, 11, 7, 5, 2 ], [ 0, 0, 0, 0, 0, 0, 0\
, 0, 0, 1 ] ], thegtilde := [ [ -51, 3, 7, 14, 7, 0, 0, 7, 17, 16, -10, -24, 0, 0, -20, 0, 0, -3, -7, -7, -7, -17, 4, -14, -21, 10 ], [ -29, 2, 4, 8, 4, 0\
, 0, 4, 9, 9, -5, -14, 0, 0, -12, 0, 0, -2, -4, -4, -4, -11, 3, -8, -12, 6 ], [ -59, 5, 8, 16, 8, 0, 0, 8, 19, 19, -11, -28, 0, 0, -24, 0, 0, -4, -8, -8, \
-8, -20, 5, -16, -24, 12 ], [ -88, 7, 12, 24, 12, 0, 0, 12, 28, 28, -16, -42, 0, 0, -36, 0, 0, -6, -12, -12, -12, -32, 8, -24, -37, 18 ], [ -71, 5, 10, 19\
, 10, 0, 0, 9, 24, 23, -13, -34, 0, 0, -28, 0, 0, -5, -10, -10, -10, -25, 6, -20, -30, 13 ], [ -62, 5, 8, 17, 8, 1, 0, 8, 20, 20, -10, -31, 0, 0, -26, 0, \
0, -5, -9, -9, -9, -24, 7, -18, -27, 12 ], [ -48, 3, 7, 13, 6, 1, -1, 7, 16, 16, -8, -24, 0, 0, -20, 0, 0, -4, -7, -8, -7, -17, 5, -14, -21, 9 ], [ -33, 2\
, 5, 9, 4, 1, -1, 4, 12, 11, -5, -17, 0, 0, -14, 0, 0, -3, -6, -6, -5, -13, 5, -10, -15, 6 ], [ -21, 1, 4, 5, 3, 1, -1, 2, 8, 7, -3, -11, 0, 0, -8, 0, 0, \
-2, -4, -4, -3, -8, 4, -6, -10, 3 ], [ -4, 0, 0, 1, 1, 1, -1, 0, 2, 1, 0, -2, 0, 0, -2, 0, 0, -1, -1, -1, 0, -3, 2, -2, -2, 0 ], [ -7, 1, 2, 1, 1, 1, -1, \
0, 3, 3, 0, -4, 0, 0, -3, 0, 0, -2, -2, -2, -1, -4, 3, -2, -4, 0 ], [ -11, 0, 1, 3, 2, 1, -1, 1, 4, 5, -1, -6, 0, 0, -5, 0, 0, -2, -2, -2, -1, -5, 2, -4, \
-5, 1 ], [ 3, 0, -1, -1, 0, 1, -1, -1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 2, 0, 1, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0, 0\
, 0, 0, 0, 0, -2, 1, 0, 0, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 0, -1, -1, 0, 1, -\
1, -1, 0, -1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 2, 0, 1, -1 ], [ 0, 0, 0, -1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1 ], [ \
-1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0 ], [ -3, 0, 1, 2, -1, -1, 0, 2, 0, 1, -1, -1, 0, 0, -2, 0, 0, 0, 0, -1,\
 -1, 0, 0, 0, -1, 2 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ 2, -1, 0, -1, 0, 1, -1, -1, 1, 0, 0, 1, 0, \
0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -1 ], [ 4, 0, 0, -1, -1, 0, 0, -1, -1, -2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1 ], [ 1, 2, 0, -1, 0, 0, 0, \
0, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( \
GramQ := [ [ -50, -42, -46, -40, -58, -24, -28, -34, -3, 3, -1, 0, 1, -1, -1, 0, -2 ], [ -42, -44, -42, -40, -57, -22, -31, -29, -10, -1, -2, -4, -4, 0, -\
2, -1, -2 ], [ -46, -42, -58, -34, -50, -22, -22, -20, -1, 1, 1, 0, -1, 1, 1, 0, 2 ], [ -40, -40, -34, -40, -55, -20, -31, -31, -10, 1, -2, -4, -4, 0, -2,\
 -1, -2 ], [ -58, -57, -50, -55, -86, -36, -46, -45, -13, -3, -3, -4, -3, -1, -3, -1, -4 ], [ -24, -22, -22, -20, -36, -18, -18, -18, -3, -3, -1, 0, 1, -1\
, -1, 0, -2 ], [ -28, -31, -22, -31, -46, -18, -28, -25, -10, -2, -2, -4, -4, 0, -2, -1, -2 ], [ -34, -29, -20, -31, -45, -18, -25, -36, -5, 0, -3, 0, 3, \
-3, -3, 0, -6 ], [ -3, -10, -1, -10, -13, -3, -10, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 3, -1, 1, 1, -3, -3, -2, 0, -3, -6, -1, 0, 1, -1, -1, -1, -\
2 ], [ -1, -2, 1, -2, -3, -1, -2, -3, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, -4, 0, -4, 0, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ 1, -4, -1, -4,\
 -3, 1, -4, 3, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ -1, 0, 1, 0, -1, -1, 0, -3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ -1, -2, 1, -2, -3, -1, -2, -3, -2, -1, -1\
, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, -1, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ -2, -2, 2, -2, -4, -2, -2, -6, -2, -2, -2, 0, 2, -2, -2, 0, -4 ]\
 ], GramQperp := [ [ -52, 0, 0, 4, 12, 0, 0, 0, 6 ], [ 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 ], [ 12,\
 0, 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 ], [ 6, 0, 0, 0, -2, 0, 0, 2, -4\
 ] ], Sigma := [ [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, -1, 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, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 0, \
0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, \
0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0,\
 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 1, 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 ] ], adjweyl := [ -60, 4, 4, 16, 0, 16, 4, 4, 34, 6, -33, -42, 3, -2, -24, 1, 1, 14, -2, -\
4, -6, -17, 10, -19, -21, 24 ], embQ := [ [ 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0, 0, 0, 0, -1, -2, -3, 0, 4, 1, -1, 0 ], [ 0, 1, 1, 0, -1, 0, 0, \
0, 2, 1, 0, -4, 0, 0, 0, 0, 0, 0, -1, -2, -3, 0, 3, 0, -2, 0 ], [ 0, 0, 3, 0, -2, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0, 0, 0, 0, -1, -2, -3, -2, 4, 0, -3, 0 ], [\
 0, 0, 0, 1, -1, 0, 0, 0, 2, 1, 0, -4, 0, 0, 0, 0, 0, 0, -1, -2, -3, 1, 3, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, -7, 0, 0, 0, 0, 0, 0, -1, -2, -3\
, -1, 6, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 3, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -4, 0, 0, 0,\
 0, 0, 0, 0, -1, -2, 0, 2, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -4, 0, 0, 0, 0, 0, 0, -1, -2, -3, 0, 3, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 0, 2, 2, 0, 0, 0, 0, -8, 4, 8,\
 3, 0, 0, -3, 0, 0, -6, 0, 0, 0, 0, -1, 0, -2, 1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -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, 0, -1, 0, -1, 1, -1 \
], [ 1, 0, 1, -1, 0, -1, 1, 0, 2, -2, -2, -1, 0, 0, 2, 0, 0, 2, 0, 0, -1, 2, -1, 1, 0, 0 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
-1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0,\
 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ] ], r := [ 12, 7, 14\
, 21, 16, 13, 10, 7, 4, 1 ], rlifts := [ [ -3, 0, 0, 1, 0, 1, 0, 0, 2, 0, -2, -2, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 1, -1, -1, 1 ] ], rootsQ := [ [ -3, 0, 1\
, 1, 1, 0, 0, 0, -1, -2, -1, 1, -1, 1, -1, 1, 2 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 1, -1, 1, -1, 1, -1, -2 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, \
-1, 0, 1, 1, 1 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 1, 0, -1, -1, -1 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, -1, 1, 0, 1, 1 ], [ 3, 0, -1, -1, \
-1, 0, 0, 0, 1, 2, 0, 0, 1, -1, 0, -1, -1 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 1, -2, 0, 0, 1, 1 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, -1, 2, 0, 0,\
 -1, -1 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 1, 0, -1, 0, 0, 1, 1 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, -1, 0, 1, 0, 0, -1, -1 ], [ -3, 0, 1, 1, 1, 0, 0,\
 0, -1, -2, 0, 0, -1, 0, 0, 1, 1 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, -1, -1 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, -1, 0, 0, 1, 2 ],\
 [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, -1, -2 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, -1, 0, -1, 0, 0, 1, 2 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2\
, 1, 0, 1, 0, 0, -1, -2 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, -1, 0, 0, 0, 1, 2 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, -1, -2 ], [ -3, 0,\
 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, -1, -1, 0, 1, 2 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, -1, -2 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, -\
1, 0, -1, 1, 2 ], [ 3, 0, -1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, -1, -2 ], [ -3, 0, 1, 1, 1, 0, 0, 0, -1, -2, 1, -1, -1, -1, 1, 1, 1 ], [ 3, 0, -1, -1,\
 -1, 0, 0, 0, 1, 2, -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, -1, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0,\
 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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, 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, -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, 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, 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, -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, 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, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 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, -1, 0, 0, 0, -1 ], [ 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, 1, 0, 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, 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, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0,\
 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 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, 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, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, \
0, 0, 1, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, 0, 0, -1, 0, 0, 0,\
 1 ], [ 0, 0, 0, 0, 1, -2, 1, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 2, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 2, 0, 0, 0, -1, -1,\
 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 1\
, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, -1, -1, 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, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1\
", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D7" ], theg := [ [ -35, -21, -42, -63, -48, -39, -30, -21, -12, -3 ], [ 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 ], [ 24, 14, 28, 42, 33, 26, 20, 14, 8, 2 ], [ 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 ], [ 24, 14, 28, 42, 32, 26, 20, 14, 8, 3 ] ], thegtilde := [ [ -56, \
3, 0, 18, 0, 18, 0, 0, 39, 9, -39, -39, 0, 0, -24, 0, 0, 15, 0, 0, 0, -21, 15, -18, -18, 23 ], [ -34, 2, 0, 11, 0, 11, 0, 0, 23, 5, -23, -24, 1, 0, -15, 0\
, 0, 9, 0, 0, 0, -13, 9, -11, -11, 14 ], [ -69, 5, 0, 22, 0, 22, 0, 0, 47, 11, -47, -48, 0, 0, -30, 0, 0, 18, 0, 0, 0, -26, 19, -22, -22, 29 ], [ -103, 7,\
 0, 33, 0, 33, 0, 0, 70, 16, -70, -72, 1, 0, -45, 0, 0, 27, 0, 0, 0, -40, 28, -33, -34, 43 ], [ -83, 5, 0, 27, 0, 26, 0, 0, 56, 14, -56, -57, 0, 0, -36, 0\
, 0, 21, 0, 0, 0, -32, 22, -27, -27, 34 ], [ -72, 5, -1, 24, -1, 24, 0, 0, 48, 12, -48, -51, 1, 0, -33, 0, 0, 18, 0, 0, 0, -29, 20, -24, -24, 30 ], [ -57,\
 3, 0, 19, -1, 19, -1, 1, 38, 10, -38, -40, 0, 0, -26, 0, 0, 14, 0, -1, 0, -22, 16, -19, -19, 24 ], [ -41, 2, 0, 14, -1, 14, -1, 0, 28, 7, -27, -29, 1, 0,\
 -19, 0, 0, 10, -1, -1, 0, -16, 12, -14, -14, 17 ], [ -25, 1, 0, 9, -1, 9, -1, 0, 16, 5, -17, -17, 0, 0, -12, 0, 0, 6, 0, 0, 1, -10, 8, -8, -8, 11 ], [ -4\
, 0, -1, 2, 0, 2, -1, 0, 2, 1, -2, -2, 1, 0, -3, 0, 0, 0, 0, 0, 1, -2, 1, -2, -1, 1 ], [ -13, 1, 0, 5, -1, 5, -1, 0, 7, 3, -8, -8, 0, 0, -7, 0, 0, 2, 0, 0\
, 1, -6, 5, -4, -4, 6 ], [ -13, 0, -1, 5, 0, 5, -1, 0, 8, 4, -8, -9, 0, 0, -7, 0, 0, 2, 0, 0, 1, -6, 4, -5, -4, 5 ], [ 5, 0, -1, -1, 0, -1, -1, 0, -4, 0, \
4, 4, 1, 0, 1, 0, 0, -2, 0, 0, 1, 2, -2, 1, 2, -3 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 1, 1, -1, 0\
, 0, 0, 0, 0, -1, -1, 1, 0, 2, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 5, 0, -1, -1, 0, -1, -1, 0, -4, 0, 4, 4, 0, 0, 1, 0, 0, -3, 0, 0,\
 1, 0, 0, 1, 2, -2 ], [ 5, 0, -1, -1, 0, -1, 0, -1, -5, 1, 3, 5, 0, 0, 1, 0, 0, -2, 1, 1, 2, 2, -2, 2, 3, -2 ], [ -1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 0,\
 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0 ], [ -5, 0, 1, 2, -1, 1, 0, 1, 4, 0, -4, -4, 0, 0, -2, 0, 0, 2, 0, -1, -1, -1, 2, -1, -2, 3 ], [ -1, -1, 1, 0, \
0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ 4, -1, 0, -1, 0, -1, -1, 0, -3, 1, 3, 4, 0, 0, 1, 0, 0, -2, 0, 0, 1, 2, -2, 1, 2, \
-2 ], [ 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1 ], [ 1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -60, -63, -123, -177, -1\
60, -48, -29, -17, 5, -1, 4, 0, -4, 4, 4, 0, 8 ], [ -63, -76, -136, -201, -179, -57, -32, -25, -2, -5, 3, -4, -9, 5, 3, -1, 8 ], [ -123, -136, -266, -382,\
 -351, -99, -62, -37, 10, -7, 8, 0, -8, 8, 8, 0, 16 ], [ -177, -201, -382, -556, -505, -150, -90, -60, 8, -10, 11, -4, -17, 13, 11, -1, 24 ], [ -160, -179\
, -351, -505, -468, -130, -83, -49, 13, -11, 10, 0, -10, 10, 10, 0, 20 ], [ -48, -57, -99, -150, -130, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ \
-29, -32, -62, -90, -83, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -17, -25, -37, -60, -49, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 5, -2\
, 10, 8, 13, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ -1, -5, -7, -10, -11, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 4, 3, 8, 11, 10, 3\
, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -4, -9, -8, -17, -10, -9, -2, -7, -4, 1, 0, \
-4, -6, 2, 0, 0, 2 ], [ 4, 5, 8, 13, 10, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 4, 3, 8, 11, 10, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -\
1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 8, 8, 16, 24, 20, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], GramQperp := [ [ -40, 0, 12, 14,\
 0, 0, 0, 0, 6 ], [ 0, -4, 2, 0, 0, 0, 0, 0, 0 ], [ 12, 2, -8, -2, 0, 0, 0, 0, -2 ], [ 14, 0, -2, -8, 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, 2 ], [ 6, 0, -2, -2, 0, 0, 0, 2, -4 ] ], Sigma := [ [ -2, 0, 2, 0\
, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, 0, -1, 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, 1, 1, -1, 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, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], \
[ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, \
-1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, \
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -32, 6, 8, 6, -4, 8, 4, 4, 14, 6, -13, -24, 3, -2, -16, 1, 1, 4, -2, -4, -6, -5, 2, -7, -11, 12 ], embQ \
:= [ [ 1, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 2, 3, -2, -1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, -4, 1, 0, 3, 0, 0, 0, 0, 0, 0, 1, 2, 3\
, -2, -2, -1, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -8, 0, 0, 7, 0, 0, 0, 0, 0, 0, 2, 4, 6, -6, -3, -2, -2, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, -12, 1, 0, 10, 0, \
0, 0, 0, 0, 0, 3, 6, 9, -7, -5, -3, -2, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -11, 0, 0, 10, 0, 0, 0, 0, 0, 0, 3, 6, 9, -8, -5, -3, -2, 0 ], [ 0, 0, 0, 0, 0, 1, \
0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0\
, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 1, 0, 0, 0, 0, -7, 5, 7, 3, 0, 0, -3, 0, 0, -6, 0, 0, 0, 0, -2, 0, -1, -\
1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 2, -2, -2, -1, 0, 0, 1, 0, 0, 2, 0,\
 0, 0, -1, 1, 0, -1, 1 ], [ 1, 1, -1, -1, 1, 0, 0, 0, 2, -2, -2, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, -1, 1, -1, 1, 0 ], [ 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1,\
 -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [\
 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ] ], r := [ 8, 4, 8, 13, 11, 9, 7, 5, 3, 1 ], rlifts := [ [ -2, 0\
, 2, 0, -1, 1, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 2 ] ], rootsQ := [ [ -2, 1, 0, 1, -1, 1, 0, 0, -2, -1, 0, 0, -1, 0, 0, 1, 2 ],\
 [ 2, -1, 0, -1, 1, -1, 0, 0, 2, 1, 0, 0, 1, 0, 0, -1, -2 ], [ -2, 0, 2, 0, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 2 ], [ 2, 0, -2, 0, 1, -1, 0, 0, 1, 1, \
0, 0, 0, 0, 0, -1, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, 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, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, \
-2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0\
, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 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, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -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, 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, 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, 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, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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, 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, -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, -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, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, 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, -1 ], \
[ 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, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 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, 1, 1, -1, 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, 0, 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, -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, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, \
1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, \
0, 0, -1, 0, 0, 0, 1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0,\
 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ -2, 1, 0, 1, -1, 1, 0, 0, -1, -1, 0, 0, -2, 0, 0, 0\
, 1 ], [ 2, -1, 0, -1, 1, -1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, -1 ], [ -2, 0, 2, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 2, 0, -2, 0, 1, -1, 0, 0, 0\
, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 1, -2,\
 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,\
 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 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, 1, 1, -1, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D6" ], theg := [ [ -23, -12, -24, -39, -33, -27, -21, -15\
, -9, -3 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 4, 9, 13, 11, 9, 7, 5, 3, 1 ], [ 8, 4, 8, 14, 11, 9, 7, 5, 3, 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 ], [ 8, 4, 8, 13, 11, 9\
, 7, 5, 3, 2 ] ], thegtilde := [ [ -24, 10, 8, 7, -11, 11, 0, 0, 14, 6, -14, -18, 0, 0, -17, 0, 0, 4, 0, 0, 0, 0, 8, 0, -4, 14 ], [ -13, 6, 4, 4, -6, 6, 0\
, 0, 7, 3, -7, -10, 0, 0, -10, 0, 0, 2, 0, 0, 0, -1, 5, 0, -2, 8 ], [ -27, 13, 8, 8, -12, 12, 0, 0, 15, 7, -15, -20, 0, 0, -20, 0, 0, 4, 0, 0, 0, 0, 9, 0,\
 -4, 16 ], [ -42, 20, 12, 13, -19, 19, 0, 0, 23, 9, -23, -31, 0, 0, -31, 0, 0, 7, 0, 0, 0, -1, 15, 0, -7, 26 ], [ -37, 16, 10, 12, -16, 16, 0, 0, 20, 8, -\
20, -26, 0, 0, -26, 0, 0, 6, 0, 0, 0, 0, 12, -1, -6, 22 ], [ -31, 15, 7, 11, -15, 15, 0, 0, 16, 6, -16, -23, 0, 0, -24, 0, 0, 5, 0, 0, 0, -1, 12, -1, -5, \
20 ], [ -25, 11, 6, 9, -12, 12, -1, 1, 13, 5, -13, -18, 0, 0, -19, 0, 0, 4, 0, -1, 0, 1, 9, -1, -4, 16 ], [ -18, 8, 4, 7, -9, 9, -1, 0, 10, 3, -9, -13, 0,\
 0, -14, 0, 0, 3, -1, -1, 0, 0, 8, -1, -3, 12 ], [ -11, 5, 2, 5, -6, 6, -1, 0, 5, 2, -6, -7, 0, 0, -9, 0, 0, 2, 0, 0, 1, 1, 5, 0, -1, 8 ], [ -5, 1, 1, 2, \
-2, 3, -1, 0, 2, 1, -2, -3, 0, 0, -4, 0, 0, 0, 0, 0, 1, -2, 3, -1, -1, 3 ], [ -5, 3, 0, 3, -3, 3, -1, 0, 1, 1, -2, -2, 0, 0, -5, 0, 0, 0, 0, 0, 1, 0, 3, 0\
, 0, 4 ], [ -9, 3, 1, 4, -4, 5, -1, 0, 4, 2, -4, -6, 0, 0, -7, 0, 0, 1, 0, 0, 1, 0, 4, -1, -1, 6 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0,\
 0, 0, 0, 0, 1, -2, 2, -1, 0, 1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -\
1, 1, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ]\
, [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [ -2, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 2, 0, -2, 1, 0, -1, 0,\
 0, -2, -2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, -2, -1, 1, -1, 0, 0, -2, -2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -504, -526, -286, -790, -756, -140, -92, -56, 10, -18\
, 10, 0, -10, 10, 10, 0, 20 ], [ -526, -558, -299, -833, -794, -149, -95, -64, 3, -22, 9, -4, -15, 11, 9, -1, 20 ], [ -286, -299, -164, -449, -428, -80, -\
52, -32, 6, -10, 6, 0, -6, 6, 6, 0, 12 ], [ -790, -833, -449, -1248, -1190, -223, -143, -94, 9, -30, 15, -4, -21, 17, 15, -1, 32 ], [ -756, -794, -428, -1\
190, -1146, -203, -136, -83, 14, -31, 14, 0, -14, 14, 14, 0, 28 ], [ -140, -149, -80, -223, -203, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ -92, \
-95, -52, -143, -136, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -56, -64, -32, -94, -83, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 10, 3, 6\
, 9, 14, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ -18, -22, -10, -30, -31, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 10, 9, 6, 15, 14, 3\
, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -10, -15, -6, -21, -14, -9, -2, -7, -4, 1, 0\
, -4, -6, 2, 0, 0, 2 ], [ 10, 11, 6, 17, 14, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 10, 9, 6, 15, 14, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [\
 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 20, 20, 12, 32, 28, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -4 ] ], GramQperp := [ [ -40, 12,\
 0, 2, 18, 6, 0, 0, 0 ], [ 12, -8, 2, 0, -6, -2, 0, 0, 0 ], [ 0, 2, -4, 2, 0, 0, 0, 0, 0 ], [ 2, 0, 2, -4, 2, 0, 0, 0, 0 ], [ 18, -6, 0, 2, -12, -2, 0, 0,\
 0 ], [ 6, -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, 0, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -\
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 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, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0,\
 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 1, 2, 0, 0, -1, 0,\
 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, \
-1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -34, 6, 4, 6, -2, 10, 6, 4, 12, 8, -11, -26, 3, -2, -18, 1, 1, 2, -2, -4, -8, -9, 0, -11, -13, 1\
0 ], embQ := [ [ 1, 0, 0, 0, 1, 0, 0, 0, -12, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 8, 12, -8, -2, -1, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 0, 0, -11, 1, 0, 7, 0, 0, 0, 0,\
 0, 0, 4, 8, 12, -8, -3, -2, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -6, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 4, 6, -5, -1, -1, -1, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, -17\
, 1, 0, 11, 0, 0, 0, 0, 0, 0, 6, 12, 18, -12, -4, -3, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -16, 0, 0, 11, 0, 0, 0, 0, 0, 0, 6, 12, 18, -13, -4, -3, -1, 0 ],\
 [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2,\
 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0,\
 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, 4, -3, 0, -3, 3, -1, -1, 1, 0, 0, 0, -3, 0, 0, 0, 0\
, -3, 3, -3, 7, 0, -1, 5 ], [ -1, -1, 1, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 3, -3, 0, 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, 0, -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, -1, 1, -1 ], [ 1, 0, 1, -2, 1,\
 -1, 2, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, -2, 3, -4, 1, 0, -2 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, \
-1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 10, 5, 11, 17, 13, 10, 8, 6, 4\
, 2 ], rlifts := [ [ -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, 0 ], [ 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, \
1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1,\
 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 1, 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, 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, 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, -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, 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\
, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, 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, -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, 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, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 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, -1, 0, 0, 0, -1 ],\
 [ 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, 1, 0, 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, 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, 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, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 \
], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0,\
 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2,\
 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -3, 1, 0, 1, 0, 1, 1, 0, -1, -1, 0, 0, -2, 0, 0, 0, 1 ], [ 3, -1, 0, -1, 0, -1, -1, 0, 1, 1, 0, 0, 2, 0, 0, 0\
, -1 ], [ -3, 1, 0, 0, 1, 2, 0, 0, -1, -1, 0, 0, -2, 0, 0, 0, 1 ], [ 3, -1, 0, 0, -1, -2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0\
, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 2, 0, 0,\
 -1, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -2, 0, 0, 0, 1, 2, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 2, 0, 0, 0, -1, -2, 0, 0, 1, 0, 0, 0, 1, 0, 0\
, 0, -1 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, \
1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 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, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D6" ], theg := [ [ -29, -15, -33,\
 -51, -39, -30, -24, -18, -12, -6 ], [ 10, 6, 11, 17, 13, 10, 8, 6, 4, 2 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 10, 5, 1\
1, 17, 14, 10, 8, 6, 4, 2 ], [ 10, 5, 11, 17, 13, 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 := [ [ -33, 8, 0, 8, -8, 18, 8, 0, 8, 14, -8, -29, 0, 0, -24, 0, 0, -3, 0, 0, -8, -16, 5, -1\
3, -13, 9 ], [ -18, 5, 0, 4, -4, 10, 4, 0, 4, 8, -4, -16, 0, 0, -14, 0, 0, -2, 0, 0, -4, -10, 3, -7, -7, 5 ], [ -39, 11, 0, 9, -9, 21, 9, 0, 9, 17, -9, -3\
4, 0, 0, -29, 0, 0, -4, 0, 0, -9, -19, 6, -15, -15, 11 ], [ -57, 16, 0, 13, -13, 31, 13, 0, 13, 25, -13, -50, 0, 0, -43, 0, 0, -6, 0, 0, -13, -30, 9, -22,\
 -23, 16 ], [ -48, 12, 0, 12, -11, 25, 11, 0, 11, 21, -11, -41, 0, 0, -35, 0, 0, -5, 0, 0, -11, -24, 7, -19, -19, 13 ], [ -37, 11, -1, 9, -9, 21, 8, 0, 8,\
 18, -8, -33, 0, 0, -30, 0, 0, -5, 0, 0, -8, -21, 6, -15, -15, 10 ], [ -32, 8, 0, 8, -8, 18, 6, 1, 7, 15, -7, -28, 0, 0, -25, 0, 0, -4, 0, -1, -7, -16, 5,\
 -13, -13, 9 ], [ -24, 6, 0, 6, -6, 14, 4, 0, 6, 11, -5, -21, 0, 0, -19, 0, 0, -3, -1, -1, -5, -13, 5, -10, -10, 7 ], [ -16, 4, 0, 4, -4, 10, 2, 0, 3, 8, \
-4, -13, 0, 0, -13, 0, 0, -2, 0, 0, -2, -8, 3, -6, -6, 5 ], [ -3, 0, -1, 2, -1, 2, 0, 0, 0, 1, 0, -2, 0, 0, -3, 0, 0, -1, 0, 0, 0, -3, 2, -2, -1, 1 ], [ -\
6, 2, 0, 2, -2, 4, 0, 0, 0, 4, -1, -4, 0, 0, -6, 0, 0, -2, 0, 0, 0, -4, 2, -2, -2, 2 ], [ -8, 1, -1, 3, -2, 5, 1, 0, 1, 5, -1, -7, 0, 0, -7, 0, 0, -2, 0, \
0, -1, -5, 2, -4, -3, 2 ], [ 2, -1, -1, 1, 0, -1, -1, 0, -1, -1, 1, 2, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 2, 0, 1, 0 ], [ 3, 1, -1, -1, 1, -1, -1, 0, -1, -1,\
 1, 2, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, -1 ], [ 3, 1, -1, -1, 1, -1, -1, 0, -1, -1, 1, 2, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, -1, 1, 0, -1, -1, 0, -1, -1, 1, 2, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 2, 0, 1, 0 ], [ 2, -1, -1, 1, 0, -1, 0, -1, -2, 0, 0, 3, 0, 0, 1, 0, 0, 0, 1\
, 1, 2, 1, 0, 1, 2, 0 ], [ -3, -1, 1, 1, -1, 2, 0, -1, 2, 1, -1, -2, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, 1 ], [ -5, 2, 1, 0, -1, 3, 0, 1, 2, 2, -2\
, -4, 0, 0, -4, 0, 0, 0, 0, -1, -1, -1, 0, -1, -2, 2 ], [ -3, -1, 1, 1, -1, 1, 1, 0, 1, 1, -1, -2, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1 ], [ -1, -\
2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1 ], [ 2, 0, 0, 0, 0, -1, -1, 0, -1, -1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, \
1, 0, 0 ], [ 3, 2, 0, -2, 1, -1, -1, 0, -1, -1, 1, 2, 0, 0, 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, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -64, -50, -55, -53, -78, -77, -36, -46, 0, 12, 0, 0, 0, 0, 0, 0, 0 ], [ -50, -46, -45, -47, -65, -58, -3\
3, -35, -7, 8, -1, -4, -5, 1, -1, -1, 0 ], [ -55, -45, -62, -42, -60, -51, -25, -27, 2, 10, 2, 0, -2, 2, 2, 0, 4 ], [ -53, -47, -42, -52, -73, -68, -38, -\
42, -7, 10, -1, -4, -5, 1, -1, -1, 0 ], [ -78, -65, -60, -73, -110, -103, -54, -61, -7, 15, -1, -4, -5, 1, -1, -1, 0 ], [ -77, -58, -51, -68, -103, -110, \
-50, -69, -2, 15, -2, 0, 2, -2, -2, 0, -4 ], [ -36, -33, -25, -38, -54, -50, -30, -31, -7, 7, -1, -4, -5, 1, -1, -1, 0 ], [ -46, -35, -27, -42, -61, -69, \
-31, -46, -2, 9, -2, 0, 2, -2, -2, 0, -4 ], [ 0, -7, 2, -7, -7, -2, -7, -2, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 12, 8, 10, 10, 15, 15, 7, 9, -3, -6, -\
1, 0, 1, -1, -1, -1, -2 ], [ 0, -1, 2, -1, -1, -2, -1, -2, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, -4, 0, -4, 0, -4, 0, -1, -4, -4, 1, -1, 0, \
0 ], [ 0, -5, -2, -5, -5, 2, -5, 2, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 0, 1, 2, 1, 1, -2, 1, -2, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 0, -1, 2, -1, -1, -2, \
-1, -2, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, -1, 0, -1, 0, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 4, 0, 0, -4, 0, -4, -2, -2, -2, 0, 2, -2\
, -2, 0, -4 ] ], GramQperp := [ [ -40, 12, 12, 2, 0, 0, 18, 6, 0 ], [ 12, -8, -2, 0, 0, 0, -6, -2, 0 ], [ 12, -2, -8, 2, 0, 0, -6, -2, 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 ], [ 18, -6, -6, 0, 0, 2, -12, -2, 0 ], [ 6, -2, -2, 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, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
-1, 1, 0, -1, 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, 1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0,\
 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], \
[ 1, 0, 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0\
, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -2, 2, 0, 0, 0, 0, 2, -1, -2, 0, 0, 0, -2, 0, 0, 0, 1 ], [ 0, -2, 1, 0, 0, \
0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -32, 8, 6, 4, 0, 4, 6, 8, 12, 6, -9, -26, 3,\
 -2, -16, 1, 1, 2, -4, -8, -10, -9, 0, -11, -13, 8 ], embQ := [ [ 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, -3, -3, 3, 3, 2, 1, 0 ], [ 0\
, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, -2, -3, -3, 3, 2, 1, 0, 0 ], [ 0, 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, -3, -3, \
1, 3, 1, -1, 0 ], [ 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, -2, -3, -3, 4, 2, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0\
, 0, 0, -3, -4, -3, 5, 4, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -3, 0, 0, 0, 0, 0, 0, -3, -4, -4, 4, 4, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,\
 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, -2, 3, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -3, -3, 3, 2, 1, 1, 0 ], [ 0, 0, 0, 0,\
 0, 0, 0, 0, 0, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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, 1, 0, 0, \
3, -3, -4, 2, -2, 3, 0, 0, 0, 0, 0, 0, 6, 3, 3, 6, -5, 3, 2, 2 ], [ -1, -1, 1, 0, 0, 0, -1, 1, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 1, -1, -1, 0 \
], [ 0, -1, -1, 1, 0, 0, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -2, -1, -1, -3, 2, -1, -2, 0 ], [ 1, 1, -1, -1, 1, 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, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0\
, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 2, -1, 1, -1, 0, 0, 0, 0, 0, 0, -3, 0, -1, -3, 3, -1, -1, 0 ], [ 0, 0, 0, 0, -\
2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0\
, 0, -1 ] ], r := [ 12, 6, 13, 21, 17, 13, 9, 6, 4, 2 ], rlifts := [ [ -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -1, -1, -1, 0, -1, -1, \
1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1,\
 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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, 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, -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, 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, \
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, -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, 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, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 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, -1, 0, 0, 0, -1 ], [ 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, 1, 0, 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, 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, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 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, 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, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, -1\
, 0, 0, 0, 1 ], [ 1, 0, 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 2, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 2, -\
1, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, -2, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], \
[ 0, -1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 0, 1, 0, 0, 0, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 2, 0, -1, 0, 0, 0, -2, 0, 1, 0, 0, 0,\
 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -2, 2, 0, 0, 0, 0,\
 2, -1, -2, 0, 0, 0, -2, 0, 0, 0, 1 ], [ 2, -2, 0, 0, 0, 0, -2, 1, 2, 0, 0, 0, 2, 0, 0, 0, -1 ], [ 0, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [\
 0, 2, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 2, -2, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 2, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0\
, -1, 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, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, 0, 1, 0, 0, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "\
A1", "A3", "D6" ], theg := [ [ -35, -18, -39, -63, -51, -39, -27, -18, -12, -6 ], [ 12, 7, 13, 21, 17, 13, 9, 6, 4, 2 ], [ 12, 6, 14, 21, 17, 13, 9, 6, 4,\
 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 ], [ 12, 6, 13, 21, 17, 13, 10, 6, 4, 2 ], [ 12, \
6, 13, 21, 17, 13, 9, 7, 4, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], thegtilde := [ [ -26, 15, 6, 0, 0, 0, 6, 12, 9, 9, \
-3, -27, 0, 0, -18, 0, 0, -3, -6, -12, -12, -15, 3, -12, -12, 2 ], [ -13, 8, 3, 0, 0, 0, 3, 6, 4, 5, -1, -14, 0, 0, -10, 0, 0, -2, -3, -6, -6, -9, 2, -6, \
-6, 1 ], [ -29, 17, 7, 0, 0, 0, 6, 14, 9, 11, -3, -30, 0, 0, -21, 0, 0, -4, -6, -13, -13, -17, 3, -13, -13, 3 ], [ -44, 25, 11, 0, 0, 0, 9, 22, 13, 16, -4\
, -46, 0, 0, -32, 0, 0, -6, -9, -20, -20, -28, 5, -20, -21, 5 ], [ -39, 21, 9, 1, 0, 0, 8, 18, 12, 14, -4, -39, 0, 0, -27, 0, 0, -5, -8, -17, -17, -23, 4,\
 -18, -18, 4 ], [ -31, 17, 7, 1, -1, 1, 6, 16, 8, 12, -2, -33, 0, 0, -24, 0, 0, -5, -6, -14, -14, -21, 4, -15, -15, 4 ], [ -25, 13, 6, 1, -1, 1, 4, 13, 7,\
 10, -2, -26, 0, 0, -19, 0, 0, -4, -5, -12, -11, -15, 3, -12, -12, 3 ], [ -18, 8, 5, 1, -1, 1, 2, 10, 5, 7, -1, -19, 0, 0, -14, 0, 0, -3, -4, -9, -8, -12,\
 3, -9, -9, 3 ], [ -13, 5, 4, 1, -1, 1, 1, 8, 2, 5, -1, -13, 0, 0, -10, 0, 0, -2, -2, -6, -5, -8, 2, -6, -6, 3 ], [ -5, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, -4, \
0, 0, -4, 0, 0, -1, -1, -2, -1, -4, 2, -3, -2, 1 ], [ -5, 1, 2, 1, -1, 1, -1, 4, -1, 3, 0, -4, 0, 0, -5, 0, 0, -2, 0, -2, -1, -4, 1, -2, -2, 2 ], [ -9, 4,\
 1, 1, 0, 1, 1, 4, 2, 4, 0, -9, 0, 0, -7, 0, 0, -2, -2, -4, -3, -6, 2, -5, -4, 1 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, \
-2, 2, -1, 0, 1 ], [ 3, -1, -1, 0, 0, 0, -1, 0, -2, -1, 1, 2, 0, -1, 1, 0, 0, 0, 1, 1, 1, -1, 0, 1, 1, 0 ], [ 3, -1, -1, 0, 0, 0, -1, 0, -2, -1, 1, 2, 0, \
0, 0, 0, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -3, 0, 0,\
 1, 0, 1, 0, 1, -1, 1, -1, -1, 0, 0, -2, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, 2 ], [ -5, 1, 2, 0, 0, 1, 0, 1, 3, 1, -1, -4, 0, 0, -2, 0, 0, 0, -2, -2, -2, -1, \
1, -2, -2, 1 ], [ 1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -3, 1, 1, 0, 0, 0, 1, 0, 2, 1, -1, -2, 0, 0, -1, 0\
, 0, 0, -1, -1, -1, 0, 0, -1, -1, 0 ], [ -4, 1, 0, 1, 0, 1, 0, 0, 2, 1, -1, -2, 0, 0, -2, 0, 0, 0, -1, -1, 0, -1, 1, -2, -1, 1 ], [ 2, -2, 0, 1, -1, 0, -1\
, 0, -2, -1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1 ], [ 5, -2, 0, -1, 0, 0, -2, 0, -3, -1, 1, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 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, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -44, -35, -67, -100, -90, -3, 3, 3, -1, 5, 0, 0, 0, \
0, 0, 0, 0 ], [ -35, -36, -56, -88, -73, -12, 0, -5, -8, 1, -1, -4, -5, 1, -1, -1, 0 ], [ -67, -56, -106, -156, -139, -9, 2, 3, -2, 5, 0, 0, 0, 0, 0, 0, 0\
 ], [ -100, -88, -156, -238, -208, -15, 6, 0, -10, 8, -1, -4, -5, 1, -1, -1, 0 ], [ -90, -73, -139, -208, -192, 5, 13, 11, -5, 7, -2, 0, 2, -2, -2, 0, -4 \
], [ -3, -12, -9, -15, 5, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ 3, 0, 2, 6, 13, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ 3, -5, 3, 0, \
11, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ -1, -8, -2, -10, -5, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 5, 1, 5, 8, 7, -3, -3, -2, \
-3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 0, -1, 0, -1, -2, 3, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -\
1, 0, 0 ], [ 0, -5, 0, -5, 2, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 0, 1, 0, 1, -2, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 0, -1, 0, -1, -2,\
 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 0, 0, 0, 0, -4, 8, 4, 4, -2, -2, -2, 0, 2, -\
2, -2, 0, -4 ] ], GramQperp := [ [ -20, 0, 0, 2, 0, 8, 8, 0, 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 ], [ 0, 0, 0, 2, -4, 2, 0, 0, 0 ], [ 8, 0, 0, 0, 2, -8, -2, 0, -2 ], [ 8, 0, 0, 0, 0, -2, -8, 2, -2 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 4, 0, 0, 0, \
0, -2, -2, 2, -4 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1 ], [ -2, 0, 0, 0, 1, -1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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\
, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0,\
 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, \
1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0\
, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -32, 4, 4, 4, 4, 2, 8, 6, 14, 6, -13, -24, 3, -2, -12, 1, 1\
, 4, -2, -6, -10, -5, -6, -11, -13, 6 ], embQ := [ [ 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, -2, -2, 2, 2, 1, 0, 0 ], [ 0, 1, 0, 0, 0,\
 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, -2, 2, 1, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -2, -4, -4, 2, 3, 0, -2, 0\
 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 0, -3, -6, -6, 5, 4, 0, -2, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -5, 0, 0, 0, 0, 0, 0, -3, -6\
, -6, 4, 4, 0, -2, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0\
, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, \
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, 1, -1, 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, 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, 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,\
 -1, 0, 0, 0 ], [ 0, 0, 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, 1, 0, 0, 0, 0, -5, 3, 5, 2, \
0, 0, -2, 0, 0, -4, 0, 0, 0, 0, -1, 0, -1, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -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, 0, -1, 0, -1, 1, -1 ], [\
 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 2, -2, -2, -1, 0, 0, 0, 0, 0, 2, 0, -1, \
1, -1, 3, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 3, -2, -2, -1, 0, 0, 1, 0, 0, 2, -1, 1, 0, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, \
0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ] ], r := [ 10, 6, 12,\
 18, 14, 10, 7, 5, 3, 1 ], rlifts := [ [ -2, 0, 0, 0, 1, -1, 2, 0, 1, -1, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, -1, -1, 0 ] ], rootsQ := [ [ -2, 0, 0\
, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1 ], [ 2, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0,\
 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1 ], [ -2, 0, 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 1, 0 ], [ 2, 0, 0, 0, -1, 1, -2, 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, 0, 0, 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, 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, -1, 1, 0, 2, -1, 0, 0 \
], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -\
2, 1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 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, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0 ], [ 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, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -\
1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 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, 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, -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, -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, 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, 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -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, -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, 0, 1, 0, 0, -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, 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, -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, -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, -1, 0, 0, 0, -1 ], [ 0, 0, 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\
, -1, 0, 0, 0, -1 ], [ 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, -1, 0, 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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, \
0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0\
, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, \
1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 2, 0, \
0, 0, -1, 1, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1 ], [ -2, 0, 0, 0, 1, -1, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0\
, 0, 0, 0 ], [ 0, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ -2, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 2, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ 1, -1, \
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 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, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D6" ], theg := [\
 [ -19, -12, -24, -36, -28, -20, -14, -10, -6, -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 ],\
 [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 10, 6, 12, 18, 14, 11, 7, 5, 3, 1 ], [ 10, 6, 12, 18, 14, 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 ], [ 10, 6, 12, 18, 14, 10, 7, 5, 3, 2 ] ], thegtilde := [ [ -28, 3, 0, 0, 13, -5, 10, 8, 16, 6, -16, -21, 0, 0, -6, 0, 0, 5, 0, -\
8, -13, 0, -16, -13, -13, -1 ], [ -17, 2, 0, 0, 8, -3, 6, 5, 9, 3, -9, -13, 0, 0, -4, 0, 0, 3, 0, -5, -8, -1, -9, -8, -8, 0 ], [ -35, 5, 0, 0, 16, -6, 12,\
 10, 19, 7, -19, -26, 0, 0, -8, 0, 0, 6, 0, -10, -16, 0, -19, -16, -16, 0 ], [ -52, 7, 0, 0, 24, -9, 18, 15, 28, 10, -28, -39, 0, 0, -12, 0, 0, 9, 0, -15,\
 -24, -2, -28, -24, -25, 0 ], [ -43, 5, 0, 1, 19, -7, 14, 12, 23, 9, -23, -31, 0, 0, -10, 0, 0, 7, 0, -12, -19, -1, -23, -20, -20, 0 ], [ -37, 5, -1, 1, 1\
6, -5, 12, 11, 19, 7, -19, -28, 0, 0, -10, 0, 0, 6, 0, -11, -17, -2, -19, -18, -18, 1 ], [ -29, 3, 0, 1, 12, -4, 9, 9, 15, 7, -15, -22, 0, 0, -8, 0, 0, 4,\
 0, -9, -13, -1, -15, -14, -14, 0 ], [ -22, 2, 0, 1, 9, -3, 7, 6, 12, 5, -11, -17, 0, 0, -6, 0, 0, 3, -1, -7, -10, -2, -10, -11, -11, 0 ], [ -15, 1, 0, 1,\
 6, -2, 5, 4, 7, 4, -8, -11, 0, 0, -4, 0, 0, 2, 0, -4, -6, -1, -7, -7, -7, 0 ], [ -5, 0, -1, 1, 2, 0, 1, 1, 2, 1, -2, -3, 0, 0, -2, 0, 0, 0, 0, -1, -1, -2\
, -1, -3, -2, 0 ], [ -9, 1, 0, 1, 3, -1, 3, 2, 3, 3, -4, -6, 0, 0, -3, 0, 0, 0, 0, -2, -3, -2, -3, -4, -4, 0 ], [ -9, 0, -1, 1, 4, 0, 1, 3, 4, 2, -4, -6, \
0, 0, -3, 0, 0, 1, 0, -3, -3, 0, -4, -5, -4, 1 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, -2, 2, -1, 0, 1 ], [ 1, 1, -1, 0, \
0, 0, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 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, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0,\
 -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -3, -1, 1, 0, 1, 0, 1, -1, 3, 2, -2, -2, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, -1, -1 ], [ -1, 0, 1, 0, 0, -2,\
 2, 1, 1, 1, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, -1, -1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ]\
, [ -2, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, -1, 1, 0, -1, 1 ], [ 1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 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, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -152, -144, -88, -222, -194, -60, -32, -16, 4, 4, 4, 0, -4, 4, 4, 0, 8 ], [ -144, -146, -86, -\
220, -187, -69, -35, -24, -3, 0, 3, -4, -9, 5, 3, -1, 8 ], [ -88, -86, -54, -132, -114, -40, -22, -12, 3, 1, 3, 0, -3, 3, 3, 0, 6 ], [ -222, -220, -132, -\
336, -287, -103, -53, -34, 0, 3, 6, -4, -12, 8, 6, -1, 14 ], [ -194, -187, -114, -287, -252, -83, -46, -23, 5, 2, 5, 0, -5, 5, 5, 0, 10 ], [ -60, -69, -40\
, -103, -83, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ -32, -35, -22, -53, -46, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -16, -24, -12, -3\
4, -23, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 4, -3, 3, 0, 5, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ 4, 0, 1, 3, 2, -3, -3, -2, -\
3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 4, 3, 3, 6, 5, 3, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1, -1, 0\
, 0 ], [ -4, -9, -3, -12, -5, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 4, 5, 3, 8, 5, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 4, 3, 3, 6, 5, 3, \
2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 8, 8, 6, 14, 10, 8, 4, 4, -2, -2, -2, 0, 2, -2, \
-2, 0, -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, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, -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, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, -1, 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1\
, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 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, 1 ], [ 0, 0, 0, 0, 0, 0, 1,\
 -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0,\
 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, \
0, 0, 0, -1 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -36, 4, 4, 4, 12, -8, 4, 16, 22, 6, -9, -30, 3, -2, -12, 1, 1, 2, -\
14, -16, -18, -17, -2, -19, -21, 0 ], embQ := [ [ 1, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 4, 1, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 0\
, 0, -5, 1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 3, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -2, 2, 0, -1, 0 ], [ 0\
, 0, 0, 1, 1, 0, 0, 0, -8, 1, 0, 2, 0, 0, 0, 0, 0, 0, -3, 0, 3, -3, 5, 0, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -7, 0, 0, 2, 0, 0, 0, 0, 0, 0, -3, 0, 3, -4, \
5, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0\
, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0\
, 0 ], [ 0, 0, 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, 0, 2, 2, 0, 0, 1, -1, -3, -1, 1, 1, 0, 0, 0\
, 0, 0, 0, 2, 1, 1, 2, 0, 1, -1, 4 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -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, -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, 0, -1, 0, -1, 1, -1 ], [ 1, 0, 1, \
-1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0,\
 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1\
, -1, -1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 8, 5, 10, 15, 12, 9, 6, \
3, 2, 1 ], rlifts := [ [ -1, 0, 0, 0, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, -1, -1, -1 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0,\
 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, 0, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0\
, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, \
0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,\
 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 1, -1, 0, -1, 1, 0, \
-1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 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 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, -1, 1, 0, 1, -1, 0, 0 ], [ 1, 0, 0, 0, -\
1, 1, 0, -1, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0\
 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 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, -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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, \
-1 ], [ 1, 0, 0, 0, -1, 1, 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, 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, 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -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, -1, 0\
, 0, 0 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 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, 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, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 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, 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, -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 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 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, 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, -1, 0, 0\
, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 1 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1 ], [ 1, 0, 0, 0, -1, 1, 0, -1,\
 0, 0, 0, -1, 1, 0, 0, 0, 1 ], [ 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, -1, 1, 0, 0, 0, 1 ], [ -1, 1, 0\
, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 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,\
 -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0,\
 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, \
2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0,\
 0, 0 ], [ 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -1, 0, 0, 0, -1, \
0, 0, 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ -1, 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, 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, 0, -1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1\
 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 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, 0, 0, 0, 0, -1, 0\
, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 1, -1\
, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, -1, 1, 0, -1, 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, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "D7" ], theg := [ [ -7\
, -5, -10, -15, -12, -9, -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 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 16, 10, 20, 30, 24, 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 := [ [ -10, 3, 0, 0, 8, -8, 0, 8, 11, 9, -3, -11, 0, 0, -6, 0, 0, -3, -8, -8, -8, -11, -3, -8,\
 -8, -8 ], [ -6, 2, 0, 0, 5, -5, 0, 5, 6, 5, -1, -7, 1, 0, -4, 0, 0, -2, -5, -5, -5, -7, -2, -5, -5, -5 ], [ -13, 5, 0, 0, 10, -10, 0, 10, 13, 11, -3, -14\
, 0, 0, -8, 0, 0, -4, -10, -10, -10, -14, -3, -10, -10, -9 ], [ -19, 7, 0, 0, 15, -15, 0, 15, 19, 16, -4, -21, 1, 0, -12, 0, 0, -6, -15, -15, -15, -22, -5\
, -15, -16, -14 ], [ -17, 5, 0, 1, 12, -12, 0, 12, 16, 14, -4, -17, 0, 0, -10, 0, 0, -5, -12, -12, -12, -18, -4, -13, -13, -11 ], [ -14, 5, -1, 1, 10, -10\
, 0, 11, 13, 12, -2, -16, 1, 0, -10, 0, 0, -5, -11, -11, -11, -17, -3, -12, -12, -10 ], [ -11, 3, 0, 1, 7, -7, -1, 9, 10, 10, -2, -12, 0, 0, -8, 0, 0, -4,\
 -8, -9, -8, -12, -2, -9, -9, -7 ], [ -7, 2, 0, 1, 4, -4, -1, 5, 7, 7, -1, -8, 1, 0, -6, 0, 0, -3, -6, -6, -5, -8, -1, -6, -6, -5 ], [ -5, 1, 0, 1, 3, -3,\
 -1, 4, 4, 5, -1, -5, 0, 0, -4, 0, 0, -2, -4, -4, -3, -6, 0, -4, -4, -3 ], [ -2, 0, -1, 1, 1, 0, -1, 1, 1, 1, 0, -1, 1, 0, -2, 0, 0, -1, -1, -1, 0, -2, 0,\
 -2, -1, -1 ], [ -3, 1, 0, 1, 1, -1, -1, 2, 1, 3, 0, -2, 0, 0, -3, 0, 0, -2, -2, -2, -1, -4, 1, -2, -2, -1 ], [ -3, 0, -1, 1, 2, -1, -1, 2, 2, 4, 0, -3, 0\
, 0, -3, 0, 0, -2, -2, -2, -1, -4, 0, -3, -2, -2 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 ], [ 1, 1, -1, 0, \
0, 0, 0, 0, -1, -1, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1 ], [ 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 2, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -3, 0, -1, 1, 2, -1, 0, 1, 1, 1, -1, -1, 0, \
0, -1, 0, 0, 0, -1, -1, 0, -2, 0, -2, -1, 0 ], [ -1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, -1, -\
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0 ], [\
 -2, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 -1, 1, 0, -1, 1 ], [ 1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 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, 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -92, -92, -178, -82, -58, -59, -34, -21, 4, -1, 5, 0, -5, 5, 5, 0, 10 ], [ -92, -102, -185, -90, \
-61, -68, -37, -29, -3, -5, 4, -4, -10, 6, 4, -1, 10 ], [ -178, -185, -358, -163, -118, -121, -72, -45, 8, -7, 10, 0, -10, 10, 10, 0, 20 ], [ -82, -90, -1\
63, -82, -55, -62, -33, -27, -3, -3, 4, -4, -10, 6, 4, -1, 10 ], [ -58, -61, -118, -55, -42, -42, -26, -16, 2, -4, 3, 0, -3, 3, 3, 0, 6 ], [ -59, -68, -12\
1, -62, -42, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ -34, -37, -72, -33, -26, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0, 4 ], [ -21, -29, -45, -2\
7, -16, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 4, -3, 8, -3, 2, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ -1, -5, -7, -3, -4, -3, -3,\
 -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 5, 4, 10, 4, 3, 3, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0, -4, -4, 0, -1, -4, -4, 1\
, -1, 0, 0 ], [ -5, -10, -10, -10, -3, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 5, 6, 10, 6, 3, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, -2 ], [ 5, 4, 10\
, 4, 3, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 10, 10, 20, 10, 6, 8, 4, 4, -2, -2, -\
2, 0, 2, -2, -2, 0, -4 ] ], GramQperp := [ [ -8, 4, 0, 2, 0, 0, 0, 0, 6 ], [ 4, -8, 2, 0, 0, 0, 0, 0, -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 ], [ 0, 0, 0, 0, 0, 0, 2, -4, 2 ], [ 6, -6,\
 0, 0, 0, 0, 0, 2, -12 ] ], Sigma := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 0, -1, 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, 1, 1, -1, 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, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 1, 0, \
0, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\
 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, -1, 1, 0, 0, 0, 0, -1, \
0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -26, 6, 4, 4, 4, 0, 4, 4, 12, 4, -11, -18, 3, -2, -10, \
1, 1, 4, -2, -4, -6, -7, -2, -7, -9, 6 ], embQ := [ [ 1, 0, 1, 0, 0, 0, 0, 0, -6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, -3, 2, 1, 0, 0 ], [ 0, 1, 1, 0, 0, 0\
, 0, 0, -5, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -3, 1, 0, -1, 0 ], [ 0, 0, 3, 0, 0, 0, 0, 0, -10, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 4, 6, -8, 3, 0, -2, 0 ], [\
 0, 0, 0, 1, 0, 0, 0, 0, -5, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, -4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -3, 1\
, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, \
1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, \
0 ], [ 0, 0, 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, 1, 0, 0, 0, 0, -3, 1, 3, 1, 0, 0, -1, 0\
, 0, -2, 0, 0, 0, 0, 0, 0, -1, 1 ], [ -1, -1, 1, 0, 0, 0, 0, 0, 3, -1, -3, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 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, 0, -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, -1, 1, -1 ], [ 1, 0, 1, -\
1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, \
0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2\
, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 4, -3, -3, -4, 0, 0, 0, 0, 0, 3, -1, -1, -1, -1, 3, -1, -1, 2 ] ], r := [ 6, 3, 7, 11, 9, 7, 5, 3, 1,\
 0 ], rlifts := [ [ 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0\
, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 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 ], [ -1, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ], [ 1, -1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, -1, 0, 0, -1, 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, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0,\
 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0,\
 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, \
0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0\
, 1, -2, 1, -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, -1, 0, -1, 1, 0, 0 ], [ 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, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 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, 0, -1, 1, 0, 1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1\
, 0, -1, 2, 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, -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, 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, 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, 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, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 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, 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, 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, -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, -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, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 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, 0, 0, -1, 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, 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, -1 ], [ 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, 1, -1, 0, 0, 0, -1 ], [ 0, 0, 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, 1, 1, -1, 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, 0, 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, -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, 0, 0, 0, 0, -1, 0, 1, 0, 0, \
1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1\
, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 1, 0, 0, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ -1, 0, 0, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ \
0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -\
1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0,\
 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1\
, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 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, 0, 0, -1, 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, 1, 1, -1, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A1", "A3", "D6" ], theg := [ [ -5, -3, -7, -11, -9, -7, -5, -3, \
-1, 0 ], [ 6, 4, 7, 11, 9, 7, 5, 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 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 6, 3, 7, 11, 9, 7, 5, 3, 2, 0 ], [ 6, 3, 7, 11, 9, 7, 5, 3\
, 1, 1 ] ], thegtilde := [ [ -2, 3, 0, 0, 3, -3, 0, 0, 3, 6, -3, -3, 0, 0, -3, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, -4 ], [ -1, 2, 0, 0, 1, -1, 0, 0, 1, 4, -1,\
 -2, 0, 0, -3, 0, 0, -1, 0, 0, 0, -3, -1, 0, 0, -2 ], [ -3, 5, 0, 0, 3, -3, 0, 0, 3, 8, -3, -4, 0, 0, -5, 0, 0, -1, 0, 0, 0, -4, -3, 0, 0, -4 ], [ -4, 7, \
0, 0, 4, -4, 0, 0, 4, 12, -4, -6, 0, 0, -8, 0, 0, -2, 0, 0, 0, -8, -4, 0, -1, -6 ], [ -5, 5, 0, 1, 4, -4, 0, 0, 4, 10, -4, -5, 0, 0, -6, 0, 0, -1, 0, 0, 0\
, -6, -4, -1, -1, -5 ], [ -4, 6, -1, 1, 3, -3, 0, 0, 3, 9, -3, -5, 0, 0, -7, 0, 0, -2, 0, 0, 0, -8, -2, -1, -1, -4 ], [ -4, 4, 0, 1, 3, -3, -1, 1, 3, 7, -\
3, -4, 0, 0, -5, 0, 0, -1, 0, -1, 0, -5, -2, -1, -1, -3 ], [ -3, 3, 0, 1, 2, -2, -1, 0, 3, 5, -2, -3, 0, 0, -4, 0, 0, -1, -1, -1, 0, -5, 0, -1, -1, -2 ], \
[ -2, 2, 0, 1, 1, -1, -1, 0, 1, 4, -2, -1, 0, 0, -3, 0, 0, -1, 0, 0, 1, -3, 0, 0, 0, -1 ], [ -1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, \
0, 1, -2, 1, -1, 0, 0 ], [ -1, 1, 0, 1, 0, 0, -1, 0, -1, 2, 0, 0, 0, 0, -2, 0, 0, -1, 0, 0, 1, -2, 1, 0, 0, 0 ], [ -2, 1, -1, 1, 2, -1, -1, 0, 1, 3, -1, -\
1, 0, 0, -2, 0, 0, -1, 0, 0, 1, -3, 0, -1, 0, -1 ], [ -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, -2, 2, -1, 0, 1 ], [ 1, 1, -1, 0\
, -1, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, -2, 1, 0, 0, 0 ], [ 1, 1, -1, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, -2, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 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, 1, 0, 1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 2, -1, 0, 1 ], [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, \
0, 0, -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -1, -1, 1, 0, 1, 0, -1, -1, 2, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, -1, -1,\
 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -1, -1, 1, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0 ], [ \
-2, -1, 0, 1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 0, 1, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, \
-1, 1, 0, -1, 1 ], [ 1, 2, 0, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] ), rec( GramQ := [ [ -248, -252, -148, -382, -346, -100, -60, -36, 8, -4, 8, 0, -8, 8, 8, 0, 16 ], [ -252, -266, -152\
, -398, -357, -109, -63, -44, 1, -8, 7, -4, -13, 9, 7, -1, 16 ], [ -148, -152, -90, -230, -208, -60, -36, -22, 5, -3, 5, 0, -5, 5, 5, 0, 10 ], [ -382, -39\
8, -230, -600, -539, -163, -95, -64, 6, -9, 12, -4, -18, 14, 12, -1, 26 ], [ -346, -357, -208, -539, -492, -143, -88, -53, 11, -10, 11, 0, -11, 11, 11, 0,\
 22 ], [ -100, -109, -60, -163, -143, -50, -27, -23, -3, -3, 3, -4, -9, 5, 3, -1, 8 ], [ -60, -63, -36, -95, -88, -27, -18, -11, 2, -3, 2, 0, -2, 2, 2, 0,\
 4 ], [ -36, -44, -22, -64, -53, -23, -11, -14, -5, -2, 1, -4, -7, 3, 1, -1, 4 ], [ 8, 1, 5, 6, 11, -3, 2, -5, -10, -3, -2, -4, -4, 0, -2, -2, -2 ], [ -4,\
 -8, -3, -9, -10, -3, -3, -2, -3, -6, -1, 0, 1, -1, -1, -1, -2 ], [ 8, 7, 5, 12, 11, 3, 2, 1, -2, -1, -2, -1, 0, -1, -1, 0, -2 ], [ 0, -4, 0, -4, 0, -4, 0\
, -4, -4, 0, -1, -4, -4, 1, -1, 0, 0 ], [ -8, -13, -5, -18, -11, -9, -2, -7, -4, 1, 0, -4, -6, 2, 0, 0, 2 ], [ 8, 9, 5, 14, 11, 5, 2, 3, 0, -1, -1, 1, 2, \
-2, -1, 0, -2 ], [ 8, 7, 5, 12, 11, 3, 2, 1, -2, -1, -1, -1, 0, -1, -2, 0, -2 ], [ 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -2, 0 ], [ 16, 16, 1\
0, 26, 22, 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 0, -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, -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, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0\
, 0, -1, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1 ], [ 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 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, -1, 1, -1, 0, 0, 0, 0 ]\
, [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 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, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0\
, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ],\
 [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], adjweyl := [ -24, 16, 4, 4, -12, 16, 4\
, 4, 10, 6, -9, -30, 3, -2, -24, 1, 1, 2, -2, -4, -6, -17, 10, -7, -9, 12 ], embQ := [ [ 1, 0, 0, 0, 1, 0, 0, 0, -10, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 4, 6, \
-2, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 0, 0, -9, 1, 0, 5, 0, 0, 0, 0, 0, 0, 2, 4, 6, -2, -1, 0, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, -5, 0, 0, 3, 0, 0, 0, 0,\
 0, 0, 1, 2, 3, -2, 0, 0, -1, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, -14, 1, 0, 8, 0, 0, 0, 0, 0, 0, 3, 6, 9, -3, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, -13, 0\
, 0, 8, 0, 0, 0, 0, 0, 0, 3, 6, 9, -4, -1, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, -2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 2, 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, 1, -1, 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, 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, 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, -1, 0, 0, 0 ], [ 0, 0, 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 := [ [ -7, -1,\
 3, 2, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 4 ], [ 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, -1, 0, -1, 1, -1 ], [ 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\
 0, 0, -1, 2, -2, 1, 0, -1 ], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, \
0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2\
, 0, 1, 2, -1, -1, -3, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0,\
 -1 ] ], r := [ 4, 1, 4, 7, 6, 5, 4, 3, 2, 1 ], rlifts := [ [ 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0 ] ], rootsQ\
 := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0\
, 1, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -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, 1, -1, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0 ], [ 0,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 1, 0, 0 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, -1, 1, -1\
, 1, -1, 0, 1 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 1, -1, 1, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, -1 ], [\
 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, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, \
1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 1, 1, 1, -1, 0, 0 ], [ 0, 1, 0, 0, -1, 1, 0,\
 0, -1, 0, 1, -1, -1, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 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, 0, 1, -1, 0, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, \
1, -2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 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, -1, -1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 1 ], [ 0, 1, \
0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 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, 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, -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, -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, 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, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1 ], [ \
0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 1 ], [ 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, 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, 1, -1, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0 ], [ 0, -1,\
 0, 0, 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, 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, -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, 0, 1, 0, 0, -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, 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, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, -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, -1, -1, 0, 0, 0 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, -2\
, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, -1, 2, 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, -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, -1, 0, 0, 0, -1 ], [ 0, 0, 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, -1, 0, 0, 0\
, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0\
, 0, -1, 0, 0, 0, 0, 1 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0, 0, 0, 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, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1 \
], [ 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0\
, 0, 1, 0, 0, 0, -1 ], [ -1, 0, -1, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, 0, 0, \
-1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0\
, 1 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 1, 0, 1, 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, -1 ], [ 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, -\
1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, \
0 ], [ 0, -1, 2, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 2, -1, 0, -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, -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 ] ], rootstypeQ := [ "A1", "A1", "A1", "A1", "A1", "A1", "A1", \
"A1", "A1", "A1", "D7" ], 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, 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 := [ [ -2, 7, 0, 0, -4, 4, 0, 0, 3, 9, -3, -7, 0, 0, -10, 0, \
0, -3, 0, 0, 0, -7, 1, 0, 0, -2 ], [ -1, 3, 0, 0, -1, 1, 0, 0, 1, 5, -1, -3, 1, 0, -5, 0, 0, -2, 0, 0, 0, -3, -1, 0, 0, -2 ], [ -3, 9, 0, 0, -4, 4, 0, 0, \
3, 11, -3, -8, 0, 0, -12, 0, 0, -4, 0, 0, 0, -8, 1, 0, 0, -2 ], [ -4, 12, 0, 0, -5, 5, 0, 0, 4, 16, -4, -11, 1, 0, -17, 0, 0, -6, 0, 0, 0, -12, 0, 0, -1, \
-4 ], [ -5, 11, 0, 1, -6, 6, 0, 0, 4, 14, -4, -11, 0, 0, -16, 0, 0, -5, 0, 0, 0, -12, 2, -1, -1, -2 ], [ -3, 8, -1, 1, -4, 4, 0, 0, 2, 12, -2, -8, 1, 0, -\
13, 0, 0, -5, 0, 0, 0, -9, 0, -1, -1, -3 ], [ -3, 7, 0, 1, -5, 5, -1, 1, 2, 10, -2, -8, 0, 0, -12, 0, 0, -4, 0, -1, 0, -8, 2, -1, -1, -1 ], [ -2, 5, 0, 1,\
 -4, 4, -1, 0, 2, 7, -1, -6, 1, 0, -9, 0, 0, -3, -1, -1, 0, -6, 2, -1, -1, -1 ], [ -1, 3, 0, 1, -3, 3, -1, 0, 0, 5, -1, -3, 0, 0, -6, 0, 0, -2, 0, 0, 1, -\
4, 2, 0, 0, 0 ], [ -1, 1, -1, 1, -1, 2, -1, 0, 0, 1, 0, -1, 1, 0, -3, 0, 0, -1, 0, 0, 1, -2, 1, -1, 0, 0 ], [ -1, 1, 0, 1, -1, 1, -1, 0, -1, 3, 0, 0, 0, 0\
, -3, 0, 0, -2, 0, 0, 1, -2, 1, 0, 0, 0 ], [ -1, 2, -1, 1, -2, 3, -1, 0, 0, 4, 0, -3, 0, 0, -5, 0, 0, -2, 0, 0, 1, -4, 2, -1, 0, 0 ], [ -1, 0, -1, 1, 0, 1\
, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 ], [ 1, -1, -1, 0, 2, -2, 0, 0, -1, -1, 1, 2, 2, -1, 2, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, -2 \
], [ 1, -1, -1, 0, 2, -2, 0, 0, -1, -1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, -3, 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, 0 ], [ 0, 0, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1,\
 0, 0, -1, 0, 0, 1, -2, 2, -1, 0, 1 ], [ -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1 ], [ -1, 1, 1, 0, -2, 3, -1, -\
1, 2, 1, -1, -2, 0, 0, -2, 0, 0, 0, -1, 0, 0, -1, 2, 0, 0, 1 ], [ 1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0 ], [ -1\
, 1, 1, 0, -2, 2, 0, 0, 1, 1, -1, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1 ], [ -2, 1, 0, 1, -2, 3, -1, 0, 1, 1, -1, -2, 0, 0, -3, 0, 0, 0, 0, 0, 1,\
 -2, 2, -1, 0, 2 ], [ 0, -2, 0, 1, 1, -2, 0, 0, -1, -1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0 ], [ 1, 0, 0, -1, 2, -2, 0, 0, -1, -1, 1, 2, 0, 0\
, 2, 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 ] ] ), rec( GramQ := [ [ -18, -1\
5, -32, -9, -19, -12, -5, 4, 1, 4, 2, 0, 2, 2, 2, -2, 4 ], [ -15, -22, -33, -14, -28, -15, -13, -3, -3, 3, -2, -5, 3, 1, 1, -2, 4 ], [ -32, -33, -74, -14,\
 -50, -38, -15, 11, -8, 11, 7, 3, 4, 4, 7, -7, 8 ], [ -9, -14, -14, -14, -16, -3, -10, -6, 3, 0, -5, -8, 3, 1, -2, 1, 4 ], [ -19, -28, -50, -16, -58, -39,\
 -24, 2, -9, 8, 1, -4, 5, 3, 4, -5, 8 ], [ -12, -15, -38, -3, -39, -34, -13, 8, -11, 8, 6, 4, 2, 2, 6, -6, 4 ], [ -5, -13, -15, -10, -24, -13, -14, -4, -3\
, 2, -3, -6, 3, 1, 0, -1, 4 ], [ 4, -3, 11, -6, 2, 8, -4, -12, 0, -4, -6, -6, 0, -2, -4, 2, -2 ], [ 1, -3, -8, 3, -9, -11, -3, 0, -10, 2, 3, 4, -1, -1, 2,\
 -3, -2 ], [ 4, 3, 11, 0, 8, 8, 2, -4, 2, -4, -3, -2, -1, -1, -2, 2, -2 ], [ 2, -2, 7, -5, 1, 6, -3, -6, 3, -3, -6, -6, 1, -1, -2, 2, 0 ], [ 0, -5, 3, -8,\
 -4, 4, -6, -6, 4, -2, -6, -8, 2, 0, -2, 2, 2 ], [ 2, 3, 4, 3, 5, 2, 3, 0, -1, -1, 1, 2, -2, -1, 0, 0, -2 ], [ 2, 1, 4, 1, 3, 2, 1, -2, -1, -1, -1, 0, -1,\
 -2, 0, 0, -2 ], [ 2, 1, 7, -2, 4, 6, 0, -4, 2, -2, -2, -2, 0, 0, -4, 2, 0 ], [ -2, -2, -7, 1, -5, -6, -1, 2, -3, 2, 2, 2, 0, 0, 2, -2, 0 ], [ 4, 4, 8, 4,\
 8, 4, 4, -2, -2, -2, 0, 2, -2, -2, 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, 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, -1, 0\
, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 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, 1, -1, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, \
0, 0, 0, -1 ], [ 1, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1 ], [ 0, 1, -1, 1, 0, 0, 0, -\
1, 0, 0, 0, -1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, -2,\
 1, 0, 0, 0, 0, 1, 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 ] ], adjweyl := [ -26, 2, 6, 4, 0, 4, 4, 4, 12, 8, -1\
1, -18, 3, -2, -12, 1, 1, 2, -2, -4, -6, -1, -4, -7, -9, 6 ], embQ := [ [ 1, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]\
, [ 0, 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 ], [ 0, 0, 3, 0, -2, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1, 0, -2, 0 ], [ 0, 0, 0, 1, -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, -4, 1, 0, 1, 0, 0, 0, 0, 0\
, 0, 1, 2, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 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, 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, 1, -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, -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, 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\
, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 1, 0, 0, 0, 0, -1, -1, 1,\
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 2 ], [ -1, -3, -1, 2, 0, 0, 0, 0, 1, 1, -1, 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, -1, 0, -1, 1, -1 ], [ 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, -1 \
], [ 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1,\
 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, -2, 1, 1, 0 ], [ 0, 0, 0, 0, -2, 2, 0, 1, 2, -1, -1, -3, 0, 0\
, -1, 0, 0, 1, -1, -1, -1, -1, 2, -1, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -1 ] ], r := [ 0, 1, 0, 0,\
 0, 0, 0, 0, 0, 0 ], rlifts := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ] ], rootsQ := [ [ 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 1, 1, 1 ], [ 0, 0, 0, \
0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, -1 ], [ 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, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, 0 ], [ 0, 0, 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, \
1, 0, 2, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0\
, 0, 0, 0, 0, 1, -2, 1, -1, 1, 0, 0, 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, 0, 0, 1, -1, 0, -1, 1, 0, 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, 1, -1, 0, -1, 1, 0, 0, -1 ], [ 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, 1, 0, -1, -1, 1, 0, 0, -1 ], [ 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, 1, -1, 0, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 0, -1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, 0, 1, -1 ], \
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, 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, 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, 0, 0, -1, -1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, -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, -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, 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, 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, 1, 0, 0, 0, -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0