aZ:=[122, 60, -105, -136, -92, -182, -270, -168, -114, -58];
tildeorbit0:=[
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[10, 6, -9, -12, -8, -16, -24, -15, -10, -5],
[13, 6, -11, -16, -11, -22, -32, -20, -14, -8],
[13, 6, -11, -12, -8, -16, -24, -15, -10, -5],
[14, 7, -12, -17, -12, -23, -34, -21, -14, -7],
[14, 7, -12, -17, -11, -22, -33, -21, -14, -7],
[14, 7, -12, -15, -10, -20, -30, -18, -13, -7],
[14, 7, -12, -15, -10, -19, -30, -18, -12, -6],
[21, 10, -18, -24, -16, -32, -48, -30, -20, -10],
[21, 10, -18, -22, -15, -30, -44, -27, -18, -9],
[22, 11, -19, -26, -17, -34, -51, -31, -21, -11],
[22, 11, -19, -25, -17, -34, -49, -31, -21, -11],
[22, 11, -19, -24, -16, -32, -48, -30, -21, -11],
[22, 11, -19, -24, -16, -32, -48, -30, -20, -9],
[26, 12, -22, -29, -19, -38, -57, -35, -24, -12],
[30, 15, -26, -35, -24, -48, -70, -44, -30, -15],
[30, 15, -26, -33, -23, -45, -66, -42, -28, -14],
[30, 15, -26, -33, -23, -45, -66, -41, -28, -15],
[30, 15, -26, -32, -21, -42, -63, -39, -26, -13],
[34, 16, -29, -37, -26, -50, -74, -46, -31, -16],
[35, 17, -30, -39, -27, -53, -78, -49, -34, -17],
[35, 17, -30, -39, -26, -51, -76, -47, -32, -17],
[42, 20, -36, -46, -31, -62, -91, -57, -39, -20],
[43, 21, -37, -49, -33, -65, -96, -60, -40, -20],
[43, 21, -37, -47, -32, -63, -94, -58, -40, -20],
[44, 22, -38, -51, -35, -68, -101, -63, -43, -22],
[44, 22, -38, -50, -33, -66, -98, -61, -42, -21],
[44, 22, -38, -48, -33, -64, -95, -59, -40, -20]];
tildeorbit3:=[
[34, 16, -29, -38, -26, -52, -76, -48, -32, -16],
[34, 16, -29, -36, -24, -48, -72, -44, -30, -16],
[36, 18, -31, -42, -28, -56, -84, -52, -36, -18],
[36, 18, -31, -40, -28, -54, -80, -50, -34, -18],
[36, 18, -31, -40, -26, -52, -78, -48, -32, -16],
[52, 26, -45, -60, -40, -80, -118, -74, -50, -26],
[52, 26, -45, -58, -40, -78, -116, -72, -48, -24],
[52, 26, -45, -56, -38, -76, -112, -70, -48, -24],
[78, 38, -67, -88, -60, -118, -174, -108, -74, -38],
[78, 38, -67, -86, -58, -114, -170, -106, -72, -36]];