/usr/share/gap/grp/imf22.grp is in gap-libs 4r7p9-1.
This file is owned by root:root, with mode 0o644.
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##
#A imf22.grp GAP group library Volkmar Felsch
##
##
#Y Copyright (C) 1995, Lehrstuhl D für Mathematik, RWTH Aachen, Germany
##
## This file contains, for each Q-class representative of the irreducible
## maximal finite integral matrix groups of dimension 22,
##
## [1] a quadratic form (as lower triangle of the Gram matrix),
## [2] a list of matrix generators.
##
#############################################################################
##
## Quadratic form and matrix generators for the Q-class representatives of
## the irreducible maximal finite integral matrix groups of dimension 22.
##
IMFList[22].matrices := [
[ # Q-class [22][01]
[[1],
[0,1],
[0,0,1],
[0,0,0,1],
[0,0,0,0,1],
[0,0,0,0,0,1],
[0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [22][02]
[[8],
[4,8],
[2,4,8],
[4,2,4,8],
[2,4,2,4,8],
[2,4,2,1,2,8],
[2,4,2,1,2,2,8],
[1,2,4,2,1,1,4,8],
[2,1,2,1,-1,2,2,4,8],
[4,2,1,2,1,1,4,2,4,8],
[2,4,2,-2,2,2,2,1,2,1,8],
[2,1,2,4,2,-1,2,4,2,4,-1,8],
[2,1,2,1,2,2,2,1,2,4,2,2,8],
[2,1,2,4,2,-1,2,1,-1,1,-1,2,2,8],
[1,2,4,2,1,4,1,2,1,2,1,1,4,1,8],
[2,1,2,4,2,2,2,4,2,1,-1,2,2,2,1,8],
[4,2,1,2,1,4,1,2,1,2,1,1,1,1,2,4,8],
[1,2,1,2,1,4,1,-1,1,2,1,1,1,1,2,1,2,8],
[2,1,2,1,-1,2,2,1,2,1,2,-1,2,2,1,2,1,4,8],
[1,2,1,2,1,1,1,2,1,-1,1,1,1,4,-1,4,2,2,4,8],
[2,4,2,1,2,2,2,1,2,1,2,-1,2,2,1,2,1,1,2,4,8],
[2,4,2,1,2,2,2,4,2,1,2,2,2,2,1,2,1,1,2,4,2,8]],
[[[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-3,2,-2,3,-2,1,-1,1,-1,0,2,1,1,1,-2,0,1,-1,2,-3,1,0] ,
[-2,3,-2,2,-2,1,-2,3,-1,0,1,0,2,1,-2,0,0,0,1,-2,0,-1],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-2,0,-1,3,-2,1,0,0,-1,0,2,1,0,0,-1,0,1,-1,1,-2,1,1],
[-4,4,-4,5,-3,1,-2,3,-1,0,2,0,2,1,-2,-1,1,-1,2,-3,1,-1],
[-1,0,0,0,0,1,0,-1,0,0,1,1,-1,1,0,1,0,-1,1,-1,0,0],
[2,-2,2,-4,2,0,1,-2,1,0,-1,1,-2,0,2,1,-1,0,0,2,-1,0],
[2,-2,2,-4,2,0,1,-2,1,0,-1,1,-2,0,2,1,-1,0,0,1,0,0],
[1,-2,2,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0],
[-3,3,-3,4,-3,1,-1,1,-1,-1,2,1,2,1,-2,0,1,-1,2,-4,1,0],
[1,-3,2,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,1],
[-1,0,0,1,-1,1,0,0,-1,1,1,0,0,0,0,0,0,-1,0,0,0,0],
[0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-2,3,-2,2,-2,1,-2,2,-1,1,1,0,1,1,-1,0,0,-1,1,-1,0,-1],
[1,-1,1,-2,2,-1,1,-1,1,0,-1,0,-1,-1,2,0,0,0,0,2,-1,0],
[-2,3,-3,4,-2,0,-1,3,-1,0,1,-1,2,0,-1,-1,0,0,1,-1,0,-1],
[-3,3,-3,4,-2,1,-2,3,-1,0,1,0,2,1,-2,-1,1,-1,2,-3,1,-1],
[-2,3,-2,2,-1,0,-1,2,0,-1,0,0,2,1,-1,-1,1,0,1,-2,0,-1],
[-1,1,-1,1,0,-1,0,1,0,-1,0,0,1,0,0,-1,1,0,1,-1,0,0],
[-1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,1,-1,0,0],
[1,-2,1,-2,1,0,1,-1,0,0,0,1,-1,0,1,0,0,0,0,1,0,0]],
[[-5,5,-5,7,-4,1,-3,4,-2,0,3,0,3,1,-3,-1,1,-1,2,-4,1,-1],
[0,0,0,-1,1,0,0,-1,0,0,0,1,-1,0,1,0,0,-1,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],
[-1,1,-1,2,-1,0,-1,2,-1,1,1,-1,1,0,-1,-1,0,0,0,0,0,-1],
[0,-1,1,-1,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0],
[0,1,-1,1,0,0,0,1,0,-1,0,0,1,0,0,-1,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[-1,1,-1,2,-1,0,-1,1,-1,0,1,0,1,0,-1,0,0,0,0,-1,0,0],
[-1,1,-1,0,0,1,-1,0,0,0,0,1,0,1,0,0,0,-1,1,-1,0,0],
[-1,1,-1,2,-1,0,-1,1,-1,1,1,-1,1,0,-1,0,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[-1,0,0,1,-1,1,0,0,-1,1,1,0,0,0,-1,0,0,-1,0,0,0,0],
[1,1,0,-1,1,-1,0,1,1,-1,-1,-1,1,0,0,-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,-1],
[-4,4,-4,6,-3,1,-2,3,-1,-1,2,0,3,1,-3,-1,1,-1,2,-4,1,-1],
[0,1,-1,1,-1,1,-1,2,-1,0,1,0,1,1,-1,0,-1,0,0,-1,0,-1],
[-1,2,-2,2,-2,1,-1,2,-1,0,1,0,1,1,-1,0,-1,0,0,-1,0,-1],
[1,-2,1,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0],
[1,-3,2,-3,2,0,2,-4,1,0,0,2,-3,0,2,1,0,-1,0,1,0,1],
[1,-1,1,-2,1,1,0,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0]]]],
[ # Q-class [22][03]
[[2],
[1,2],
[0,0,2],
[0,0,1,2],
[0,0,0,0,2],
[0,0,0,0,1,2],
[0,0,0,0,0,0,2],
[0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]],
[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]],
[ # Q-class [22][04]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[1,1,1,1,1,2],
[1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,-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,-1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [22][05]
[[4],
[1,4],
[2,0,4],
[1,-1,-1,4],
[2,0,2,0,4],
[1,0,1,0,1,4],
[2,0,2,0,2,1,4],
[1,0,1,0,1,2,1,4],
[2,0,2,0,2,1,2,1,4],
[1,0,1,0,2,2,1,2,1,4],
[2,-1,2,0,2,1,2,1,2,1,4],
[1,0,1,0,1,2,1,2,1,2,1,4],
[2,1,0,1,0,0,0,0,0,0,0,-1,4],
[1,0,1,0,1,2,2,2,1,2,1,2,0,4],
[1,0,1,0,1,2,1,2,1,2,1,2,0,2,4],
[2,1,0,1,0,0,0,0,0,0,0,0,2,0,0,4],
[1,0,1,0,1,2,1,2,2,2,1,2,0,2,2,0,4],
[2,1,0,1,0,0,0,0,0,0,0,0,2,0,-1,2,0,4],
[1,1,1,0,1,2,1,2,1,2,2,2,0,2,2,0,2,0,4],
[2,0,2,0,2,1,2,2,2,1,2,1,0,1,1,0,1,0,1,4],
[1,0,1,0,1,2,1,2,1,2,1,2,0,2,2,-1,2,0,2,1,4],
[2,1,0,1,0,-1,0,0,0,0,0,0,2,0,0,2,0,2,0,0,0,4]],
[[[-1,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,1],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[-1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1],
[-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,1,0,1,0,0],
[-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1],
[-1,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
[0,0,0,0,-1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,1,1,0,0],
[-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,1,1,0,0,0,-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,-1,0,0,0,0,0,1],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0],
[-1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,1],
[-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],
[-1,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,1],
[-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,1,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-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,-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,-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,-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,-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,-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,-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,-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,-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,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]],
[ # Q-class [22][06]
[[3],
[0,3],
[0,0,3],
[1,-1,0,3],
[0,0,-1,0,3],
[0,-1,0,0,-1,3],
[0,-1,-1,1,1,1,3],
[-1,1,0,-1,0,0,-1,3],
[1,0,-1,0,1,0,1,-1,3],
[0,0,0,-1,1,-1,-1,1,0,3],
[1,-1,0,0,-1,1,0,-1,1,-1,3],
[-1,1,1,-1,-1,1,0,1,-1,0,-1,3],
[0,-1,1,0,1,-1,0,-1,1,1,0,-1,3],
[0,1,1,-1,-1,-1,-1,1,-1,1,-1,1,0,3],
[1,1,0,1,-1,0,-1,0,0,-1,0,0,-1,0,3],
[-1,1,1,-1,1,-1,0,1,0,1,-1,1,1,1,-1,3],
[0,0,0,1,-1,1,0,1,0,-1,0,0,-1,0,1,-1,3],
[-1,-1,-1,-1,1,1,1,0,0,0,0,0,0,-1,-1,0,-1,3],
[-1,1,0,-1,-1,1,-1,1,0,0,0,1,-1,0,1,0,1,0,3],
[-1,0,-1,-1,-1,1,0,0,0,0,0,1,-1,0,0,-1,0,1,1,3],
[1,1,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,3],
[0,-1,0,1,0,0,0,0,0,1,0,-1,1,0,0,0,0,0,0,0,0,3]],
[[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,1,0,0,0,2,1,-1,1,1,-1,1,0,1,0,0,0,0,1,0,-1],
[1,1,-1,0,-1,0,0,0,-1,0,0,0,1,-1,0,1,0,0,0,0,-1,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-1,-1,1,1,2,0,-2,0,2,-1,0,1,-1,1,-1,-1,0,0,0,0,1,0],
[0,0,-1,-1,0,0,0,-1,0,0,0,1,0,0,0,0,1,0,0,-1,0,1],
[-1,0,0,1,1,1,-1,-1,1,0,0,0,-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],
[0,0,1,0,0,1,0,0,1,0,-1,-1,-1,0,0,0,-1,0,0,0,0,0],
[0,0,0,1,-1,1,-1,1,1,0,-1,-1,0,0,-1,0,-1,0,0,0,0,-1],
[0,0,0,-1,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,1],
[0,1,-1,0,-1,1,1,0,-1,1,0,-1,1,0,1,1,0,0,0,0,-1,-1],
[0,0,0,1,0,1,-2,0,1,-1,-1,0,0,0,-1,0,-1,0,0,0,0,0],
[1,1,-1,1,-1,1,0,1,-1,0,0,-1,1,0,0,1,-1,0,0,1,-1,-1],
[1,0,0,-1,-1,-1,2,1,-1,0,0,0,1,-1,1,0,0,0,0,0,0,0],
[-1,1,0,2,0,2,-1,1,1,0,0,-1,0,1,0,0,-2,0,0,0,-1,-1],
[1,0,0,-1,0,-1,1,0,-1,0,0,1,0,-1,0,0,1,0,0,0,0,1],
[-1,-1,0,0,1,-1,-2,-1,2,-1,0,2,-1,1,-1,-1,1,1,0,-1,1,1],
[1,0,0,-1,-1,-1,2,1,-1,0,0,0,1,-1,0,0,0,0,1,0,0,0],
[0,0,0,-1,-1,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0],
[-1,1,0,1,0,1,1,1,0,1,1,-1,1,1,1,-1,-1,0,0,0,0,-1],
[0,0,0,1,-1,1,-1,1,1,-1,-1,-1,0,0,-1,0,-1,0,0,0,0,0]],
[[1,-1,0,0,1,-2,-1,-1,0,-1,0,2,0,0,-1,0,2,1,1,0,1,1],
[-1,1,0,0,1,1,0,-1,0,1,1,0,0,1,1,0,1,0,-1,0,0,0],
[0,-1,0,-1,0,0,-1,0,1,-1,-1,0,-1,0,0,0,0,0,-1,0,0,1],
[1,-2,0,-1,1,-2,-1,0,0,-2,0,2,0,0,-1,0,1,0,1,0,1,1],
[1,0,0,-1,-1,0,3,1,-2,1,0,-2,1,-1,2,1,-1,-1,1,1,-1,-1],
[0,1,0,1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0],
[0,0,0,0,0,-1,1,0,-1,0,1,0,0,0,0,0,0,0,1,0,0,0],
[-1,1,0,1,0,2,0,0,0,1,0,-1,0,1,1,0,-1,0,-1,0,-1,-1],
[0,0,0,0,1,-1,1,0,-1,0,1,1,1,0,0,-1,1,0,1,0,1,0],
[0,0,0,1,0,2,0,1,0,0,-1,-2,0,0,1,1,-2,-1,0,1,-1,-1],
[0,0,0,-1,0,-2,0,-1,0,0,0,2,0,-1,-1,-1,2,1,0,-1,1,1],
[-1,1,0,1,0,2,-1,0,1,0,0,-1,-1,1,0,0,-1,0,-1,0,-1,0],
[0,-1,0,-1,-1,0,1,1,0,0,-1,-1,0,-1,1,0,-1,-1,0,0,0,0],
[-1,0,0,1,1,1,-2,-1,1,0,0,0,-1,1,0,0,0,0,-1,0,0,0],
[1,-1,0,-1,1,-1,-1,-1,0,-1,0,2,0,0,-1,0,2,0,0,0,1,1],
[-1,0,0,-1,0,1,1,0,0,1,0,-1,-1,0,2,0,-1,-1,-1,0,-1,0],
[0,0,0,1,1,-1,-1,0,0,-1,1,2,1,1,-1,-1,1,1,0,0,1,0],
[0,1,0,0,-2,1,2,0,-1,2,0,-2,0,-1,1,1,-1,0,0,0,-1,-1],
[0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[-1,1,0,2,0,2,-1,0,1,0,0,-1,0,1,-1,0,-1,0,0,0,0,-1],
[0,0,0,0,0,0,0,-1,0,1,0,0,-1,0,0,1,1,0,0,0,0,0],
[0,-1,-1,0,0,1,-1,0,0,-1,-1,0,0,0,0,1,-1,-1,0,0,0,0]]]],
[ # Q-class [22][07]
[[12],
[2,12],
[2,-3,12],
[-3,2,-3,12],
[2,-3,2,2,12],
[2,2,-3,2,2,12],
[-3,2,2,2,2,-3,12],
[-3,-3,2,2,-3,-3,-3,12],
[-3,-3,-3,2,2,2,-3,2,12],
[2,2,-3,-3,2,2,2,-3,-3,12],
[2,2,2,2,-3,2,-3,2,2,-3,12],
[2,2,-3,-3,-3,2,-3,-3,2,2,-3,12],
[2,2,2,2,-3,-3,2,-3,-3,-3,2,2,12],
[2,2,-3,2,2,-3,2,2,-3,2,-3,-3,-3,12],
[2,2,2,2,2,2,-3,-3,-3,-3,2,-3,2,-3,12],
[2,-3,2,2,2,2,-3,2,2,-3,2,-3,2,-3,2,12],
[-3,2,-3,2,-3,-3,-3,2,2,-3,2,-3,2,2,2,2,12],
[-3,-3,2,-3,2,2,2,-3,2,2,-3,2,-3,-3,-3,-3,-3,12],
[2,2,2,2,-3,2,-3,2,-3,-3,2,2,2,2,2,2,2,-3,12],
[-3,2,-3,2,-3,2,2,-3,-3,2,-3,2,2,-3,2,-3,-3,2,-3,12],
[2,-3,2,-3,2,2,-3,2,2,2,-3,2,-3,-3,2,2,-3,2,-3,2,12],
[2,-3,2,2,2,-3,2,2,2,2,2,-3,2,2,-3,2,2,2,-3,-3,2,12]],
[[[1,0,-1,0,0,-1,0,0,0,0,0,-1,0,-1,0,0,0,1,1,0,0,0],
[0,0,0,-1,1,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,1,1,-1,1],
[1,-1,0,1,-1,0,1,1,0,1,0,1,0,0,1,0,1,1,-1,-1,0,-1],
[0,0,1,1,0,0,-1,-1,0,0,-1,-1,0,-1,-1,-1,0,-1,0,0,0,0],
[1,-1,0,1,0,0,1,1,-1,0,1,1,0,0,0,0,1,1,-1,0,0,-1],
[0,-1,1,1,-1,0,0,0,0,1,1,1,1,2,1,1,0,1,-2,-1,0,-2],
[0,-1,2,1,-1,1,0,0,0,1,0,1,0,1,0,0,1,0,-1,0,0,-1],
[0,1,-1,-1,1,0,0,0,0,-1,-1,-1,0,-2,-1,-1,0,-1,1,0,0,1],
[-1,0,0,0,-1,1,0,0,0,0,0,0,1,1,1,0,-1,0,-1,-1,0,0],
[0,-1,1,-1,0,1,1,1,0,0,1,2,0,2,1,1,1,0,-1,1,-1,0],
[0,-1,1,1,-2,0,0,-1,1,1,0,0,0,1,1,0,0,0,-1,-1,0,-1],
[-1,1,-1,-1,1,0,-1,0,0,0,0,-1,1,0,0,0,-1,0,1,0,0,1],
[0,0,1,1,-1,0,-1,-1,1,1,-1,-1,0,0,0,0,0,0,0,0,0,0],
[0,1,-2,-2,3,-1,0,0,-1,-2,0,-1,-1,-3,-2,-1,0,-1,3,2,0,2],
[1,0,0,1,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0],
[1,-1,1,2,-2,0,1,0,0,1,0,1,0,1,1,1,1,1,-2,-1,0,-2],
[0,0,-1,-1,1,0,1,0,0,-1,0,0,-1,-1,0,0,0,-1,1,1,0,1],
[-1,-1,1,0,-1,1,1,1,0,1,1,2,1,3,2,1,0,1,-2,-1,0,-1],
[0,0,-1,0,1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0],
[-1,1,1,0,0,0,-2,-1,0,0,-1,-1,0,0,-1,0,-1,-1,0,0,0,1],
[0,1,-1,-1,1,0,0,1,-1,-1,0,0,0,-1,0,0,0,0,0,0,0,1],
[0,-1,1,0,-1,1,1,0,0,0,0,1,0,1,1,0,1,0,-1,0,0,0]],
[[1,0,-1,-1,1,0,1,1,-1,-1,0,1,-1,-1,0,0,1,0,0,1,-1,1],
[1,-1,-1,0,0,0,2,1,0,0,1,1,0,0,1,0,1,1,0,0,0,-1],
[0,1,0,-1,1,0,-1,0,0,-1,-1,-1,0,-1,-1,-1,0,-1,1,1,0,1],
[0,0,0,0,0,0,0,0,1,1,0,-1,1,0,0,0,0,0,0,0,0,-1],
[0,1,-1,-1,2,-1,0,0,-1,-1,0,0,-1,-2,-1,0,0,-1,1,1,0,1],
[1,0,-1,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[0,0,1,1,0,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,0,1,-1],
[0,0,1,0,-1,0,-1,0,2,1,-1,-1,1,1,1,0,-1,0,0,0,-1,0],
[0,1,-1,0,1,-1,-1,0,0,0,0,-1,0,-1,-1,0,-1,0,1,0,0,0],
[1,-1,0,1,0,0,1,0,-1,0,0,1,-1,-1,0,0,1,0,0,0,0,0],
[1,-1,1,0,-1,1,1,1,1,1,0,1,0,1,1,0,1,0,-1,0,-1,-1],
[0,1,-2,0,1,-1,-1,-1,-1,-1,0,-2,0,-2,-2,-1,-1,0,2,0,1,1],
[-1,0,0,-1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,1,0,0,0,1,2,-1,1,1,1,1,0,-1,1,-1,0],
[0,0,-1,-1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,-1,-1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[-1,-1,0,-1,0,1,1,1,0,0,1,2,0,2,2,1,0,0,-1,0,-1,0],
[0,0,1,2,-1,0,-1,-1,-1,0,0,0,0,0,-1,0,0,0,-1,-1,1,-1],
[0,0,-1,-1,1,0,0,0,0,-1,0,-1,0,-1,-1,-1,0,-1,1,1,0,1],
[0,0,0,1,-1,0,0,0,0,1,0,-1,1,0,0,0,0,1,0,-1,1,-1],
[0,1,-1,0,0,-1,-1,0,0,0,-1,-1,0,-1,0,0,-1,0,1,0,0,1],
[0,-1,2,1,-1,1,0,0,0,1,0,2,0,2,1,1,1,0,-2,0,-1,-1]]]],
[ # Q-class [22][08]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[1,1,1,1,1,2],
[1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[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,-1,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0],
[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,-1,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0],
[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,-1,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]],
[ # Q-class [22][09]
[[4],
[2,4],
[1,2,4],
[2,2,2,4],
[2,2,1,2,4],
[1,1,2,1,1,4],
[1,2,1,1,2,1,4],
[1,1,1,1,1,0,2,4],
[1,1,1,2,1,0,1,1,4],
[2,1,0,1,1,0,1,2,1,4],
[1,1,2,2,1,2,1,2,0,1,4],
[1,1,1,1,2,1,1,1,1,0,0,4],
[2,1,1,2,2,0,1,2,0,2,2,1,4],
[1,1,1,1,1,1,1,1,1,1,1,1,1,4],
[0,1,1,1,1,1,1,1,1,1,1,2,1,0,4],
[1,1,0,0,1,1,2,2,0,1,1,2,1,1,2,4],
[0,1,2,1,1,1,1,1,1,0,1,1,1,0,2,1,4],
[1,1,2,2,2,1,1,1,2,1,1,1,1,0,1,0,2,4],
[2,1,0,1,1,0,1,1,1,2,0,1,1,1,1,1,0,1,4],
[1,1,0,1,1,1,1,1,1,1,0,2,1,2,1,2,1,0,0,4],
[2,1,1,2,2,0,0,1,1,2,1,1,2,1,1,1,1,2,1,1,4],
[1,1,0,1,1,1,1,1,1,1,1,1,0,-1,2,2,1,1,1,0,1,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,1],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,-2,2,-1,1,0,0,0,1,-1,1,0,0,0,1,1,0,-1,-2,0,-1],
[0,0,-1,2,0,1,0,0,0,2,-1,1,-1,0,0,1,1,-1,-1,-2,0,-1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,2,0,1,0,0,0,2,-1,1,-1,0,-1,1,2,-1,-1,-2,0,-1],
[0,0,1,-1,0,-1,1,-1,0,0,1,0,0,0,0,-1,0,0,0,1,0,1],
[1,0,-2,3,-1,0,0,0,-1,2,-1,2,-1,1,0,1,2,0,-2,-3,-1,-1],
[0,0,1,-1,0,-1,0,-1,0,0,1,0,0,0,0,0,0,0,0,1,0,1],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,2,-1,0,-1,1,-1,0,0,1,0,0,-1,0,-1,-1,0,1,2,0,1],
[-1,0,2,-1,1,-1,0,-1,0,0,1,-1,0,-1,0,0,-1,0,1,2,0,1],
[0,0,1,-1,0,-1,0,-1,0,0,1,0,0,0,0,-1,0,0,1,1,0,1],
[0,-1,3,-1,1,-2,0,-1,0,0,1,-1,0,-1,0,0,-1,0,1,3,-1,1],
[0,-1,3,-3,1,-2,1,-1,0,-1,2,-1,0,-1,0,-2,-1,0,2,4,0,2],
[1,-1,1,1,1,-1,0,0,-1,0,0,-1,-1,0,1,0,0,0,0,1,-1,0],
[0,0,-1,2,0,1,0,0,0,1,-1,1,0,0,0,1,1,-1,-1,-2,0,-1],
[-1,0,1,-1,0,0,0,-1,1,0,1,0,1,-1,-1,0,0,-1,1,1,0,1],
[1,-1,2,-2,0,-2,1,-1,-1,-1,1,-1,0,0,1,-2,-1,1,1,3,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[1,0,-1,1,0,0,0,0,0,1,0,1,-1,0,0,1,1,0,-1,-1,-1,-1]],
[[1,1,-4,2,-2,2,0,1,0,1,-1,2,0,1,0,1,2,0,-2,-4,0,-2],
[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,-1,0,0,1,0,0,0,0,0,0,0,0,0],
[1,1,-3,3,-1,2,-1,1,0,1,-2,1,0,1,0,2,2,0,-2,-4,-1,-2],
[0,1,-3,3,-1,2,-1,1,0,2,-2,2,0,1,-1,2,2,0,-2,-4,-1,-2],
[0,0,0,-1,0,0,0,0,0,-1,0,0,1,1,0,-1,0,0,0,0,0,1],
[0,0,0,0,0,-1,0,-1,0,1,1,1,0,0,-1,0,1,0,0,0,-1,0],
[1,0,-2,3,-1,0,0,0,-1,2,-1,2,-1,1,0,1,2,0,-2,-3,-1,-1],
[0,0,-1,3,0,1,-1,0,0,2,-1,1,-1,0,-1,3,2,-1,-1,-3,-1,-2],
[1,0,-3,3,-1,1,0,0,0,2,-1,2,-1,1,0,2,2,0,-2,-4,-1,-2],
[0,1,-2,1,-1,1,0,0,0,0,-1,1,1,1,0,0,1,0,-1,-2,0,0],
[1,0,-1,2,0,0,-1,1,-1,1,-1,1,-1,1,0,1,1,0,-1,-2,-1,-1],
[1,1,-4,3,-2,2,0,1,0,1,-2,2,0,1,0,1,2,0,-2,-4,0,-2],
[0,0,-1,2,0,0,-1,0,0,1,-1,0,0,1,0,2,1,0,-1,-2,-1,-1],
[1,0,-1,2,0,0,0,0,-1,1,-1,1,-1,1,0,1,1,0,-1,-2,-1,-1],
[1,0,-1,1,0,-1,0,0,-1,1,0,1,-1,1,0,0,1,0,-1,-1,-1,0],
[0,0,-1,2,0,1,0,0,0,1,-1,1,0,0,-1,1,1,-1,-1,-2,0,-1],
[0,0,-1,2,0,1,-1,0,0,1,-1,1,0,0,-1,2,1,0,-1,-2,-1,-1],
[1,0,-2,2,-1,0,0,0,-1,1,0,1,-1,1,0,1,1,1,-1,-2,-1,-1],
[1,0,-2,3,0,1,-1,1,0,2,-2,1,-1,1,0,2,2,-1,-2,-4,-1,-2],
[1,1,-4,4,-1,2,-1,1,0,2,-2,2,-1,1,0,3,2,0,-3,-5,-1,-3],
[1,0,-1,1,0,0,0,0,-1,1,0,1,-1,1,0,0,1,0,-1,-1,-1,0]]]],
[ # Q-class [22][10]
[[6],
[2,6],
[2,1,6],
[1,1,3,6],
[1,1,3,3,6],
[2,0,2,2,2,6],
[2,2,3,2,3,2,6],
[1,1,2,3,2,3,2,6],
[3,0,2,2,1,1,1,3,6],
[1,0,3,3,1,2,2,2,3,6],
[0,1,2,3,2,1,3,3,0,2,6],
[1,1,1,1,2,3,1,1,1,3,0,6],
[2,0,2,2,3,2,3,3,2,1,2,1,6],
[0,1,1,2,2,3,3,2,0,2,3,3,2,6],
[1,0,3,2,3,2,3,3,2,3,3,1,2,2,6],
[1,1,2,0,2,2,3,2,2,2,0,2,2,2,2,6],
[1,3,2,2,3,1,1,2,1,0,2,0,1,1,2,2,6],
[2,0,1,2,1,2,2,2,2,3,2,0,3,2,2,2,1,6],
[0,2,1,2,3,1,2,2,1,2,2,3,2,2,1,2,2,1,6],
[1,1,2,2,3,2,2,1,1,2,1,3,0,2,3,2,2,0,3,6],
[2,1,2,3,1,2,1,3,3,2,1,0,1,0,2,1,3,2,0,1,6],
[2,1,3,3,2,3,1,2,3,3,0,3,1,1,2,2,2,0,2,3,2,6]],
[[[1,2,-1,0,1,2,-4,-2,0,3,1,-4,2,1,0,2,-2,-3,1,1,1,-1],
[1,2,-1,-1,2,2,-4,-2,0,3,1,-5,2,2,0,2,-3,-3,1,1,2,-1],
[0,3,-1,-1,2,2,-4,-3,1,2,2,-4,2,1,0,2,-3,-2,0,1,1,0],
[0,2,0,0,1,2,-3,-3,1,-1,2,-2,1,0,1,2,-3,-1,1,0,1,0],
[0,2,-1,0,1,2,-2,-2,1,2,1,-3,2,0,0,1,-1,-2,0,1,0,-1],
[0,1,0,0,0,1,-1,-1,0,1,0,-1,1,0,0,0,0,-1,0,1,0,-1],
[0,3,-1,-1,2,3,-4,-3,1,3,2,-5,2,1,0,2,-3,-3,1,1,1,-1],
[1,0,0,-1,1,0,-1,0,-1,2,0,-2,1,1,-1,0,0,-1,0,1,0,0],
[0,1,0,-1,1,0,-2,-1,0,0,2,-1,1,0,-1,1,-2,0,0,1,1,1],
[-1,2,0,-1,1,1,-2,-2,1,-1,2,-1,1,0,0,1,-3,0,0,1,1,1],
[0,2,0,0,1,2,-3,-3,1,0,2,-3,1,1,1,2,-3,-2,1,0,1,0],
[0,1,-1,-1,1,1,-1,0,0,3,0,-2,2,0,-1,0,0,-2,-1,2,0,-1],
[1,2,-1,-1,2,2,-3,-1,0,4,1,-4,2,1,-1,1,-1,-3,0,1,0,-1],
[-1,2,0,-1,1,2,-2,-2,1,0,2,-2,1,0,0,1,-2,-1,0,1,1,0],
[0,1,-1,-1,1,1,-1,-1,0,3,0,-3,2,1,-1,0,0,-2,0,1,0,0],
[-1,2,0,-1,1,1,-2,-2,1,0,2,-1,1,0,0,1,-2,0,0,1,1,0],
[0,2,0,0,1,1,-3,-3,1,-1,2,-2,1,1,1,2,-3,-1,1,0,2,0],
[-1,2,1,0,0,1,-2,-2,1,-3,2,0,0,0,1,1,-3,1,1,0,1,1],
[0,1,0,0,0,1,-1,-1,1,0,1,-1,1,0,0,1,-1,-1,0,1,0,-1],
[0,1,-1,0,0,1,-1,-1,0,2,0,-2,2,0,0,1,0,-2,0,1,0,-1],
[1,0,0,-1,1,-1,-1,0,-1,0,0,-1,0,1,0,0,-1,0,1,0,1,1],
[0,2,-1,0,1,2,-3,-3,1,1,2,-2,2,0,0,2,-2,-2,0,1,1,-1]],
[[1,2,-1,-1,2,2,-4,-2,0,3,1,-5,2,2,0,2,-3,-3,1,1,2,-1],
[1,2,-1,0,1,2,-4,-2,0,3,1,-4,2,1,0,2,-2,-3,1,1,1,-1],
[0,2,-1,-2,2,2,-3,-2,1,3,2,-4,2,1,-1,1,-2,-2,0,1,1,0],
[1,1,-1,-1,2,2,-3,-1,0,4,1,-4,2,1,-1,1,-1,-3,0,1,0,-1],
[0,2,-1,0,1,2,-3,-2,1,2,2,-3,2,0,0,2,-2,-2,0,1,0,-1],
[0,1,0,-1,1,1,-2,-1,0,1,1,-2,1,1,0,1,-2,-1,1,0,1,0],
[0,3,-1,-1,2,3,-4,-3,1,3,2,-5,2,1,0,2,-3,-3,1,1,1,-1],
[0,1,0,0,0,2,-2,-2,1,0,1,-1,1,0,1,1,-1,-1,1,0,0,-1],
[0,2,-1,-1,2,2,-3,-2,1,2,1,-3,2,1,0,1,-2,-2,0,1,1,-1],
[0,1,-1,-2,2,1,-2,-1,0,3,1,-3,2,1,-1,0,-1,-2,0,1,1,0],
[0,1,0,0,0,2,-2,-2,1,1,1,-2,1,0,1,1,-1,-2,1,0,0,-1],
[-1,2,0,0,1,1,-3,-3,1,-2,3,-1,1,0,1,2,-4,0,1,0,2,1],
[0,2,0,0,1,2,-3,-3,1,0,2,-2,1,0,1,2,-3,-1,1,0,1,-1],
[-1,2,0,0,1,2,-3,-3,1,0,2,-2,1,0,1,2,-3,-1,1,0,1,0],
[-1,1,0,-1,0,1,-1,-1,1,0,1,-1,1,0,0,0,-1,0,0,1,0,0],
[-1,2,0,-1,1,1,-2,-2,1,0,2,-1,1,0,0,1,-2,0,0,1,1,0],
[0,1,0,0,0,1,-2,-1,1,1,1,-1,1,0,0,1,-1,-1,0,1,0,-1],
[1,0,-1,-1,1,1,-1,0,-1,5,-1,-3,2,1,-1,0,1,-3,0,1,0,-2],
[0,1,0,1,0,1,-2,-2,1,0,1,-1,1,0,1,1,-1,-1,1,0,0,-1],
[-1,1,0,0,0,1,-1,-1,1,0,1,-1,1,0,0,0,-1,0,0,1,0,0],
[1,0,-1,-1,1,1,-1,0,0,3,0,-2,1,1,-1,0,0,-2,0,1,0,-1],
[0,1,0,-2,2,0,-2,0,0,1,1,-2,1,1,-1,0,-2,0,0,1,1,1]]]],
[ # Q-class [22][11]
[[8],
[2,8],
[0,4,8],
[4,4,4,8],
[0,-2,-2,-3,8],
[1,1,-3,0,3,8],
[-1,-3,-1,-2,1,0,8],
[-3,1,-1,-2,3,3,-2,8],
[-1,1,-2,-2,1,4,1,1,8],
[-2,-4,-3,-2,-1,1,2,1,1,8],
[-3,0,-1,-2,-3,-1,1,-1,2,3,8],
[-2,2,-2,-2,1,3,-1,3,2,-2,0,8],
[-3,-1,-1,0,-3,1,0,0,-1,3,3,2,8],
[1,1,1,2,1,1,-2,1,-1,1,0,1,1,8],
[-2,0,-2,-4,1,3,1,3,3,1,2,4,0,0,8],
[-1,1,-1,-2,-1,2,0,1,2,0,1,2,2,1,4,8],
[-1,0,-4,-4,0,2,-2,2,1,1,4,3,2,1,4,4,8],
[-2,-1,-2,-4,3,-1,0,2,1,-1,1,2,-1,0,3,1,2,8],
[-1,-1,-1,-1,0,1,4,-2,2,0,2,1,2,-1,3,4,1,1,8],
[0,-2,-4,-3,3,1,3,-1,1,-1,2,2,1,0,1,2,3,2,4,8],
[-1,-1,-1,-1,-1,0,2,-1,3,3,4,-2,0,0,2,2,1,0,2,2,8],
[-1,2,1,-1,0,0,1,0,2,-1,1,2,-1,4,1,2,1,0,0,1,0,8]],
[[[0,0,0,-2,-1,1,0,0,0,-1,0,0,0,1,0,0,-1,0,0,0,0,-1],
[0,1,0,-4,-3,2,0,0,-1,-1,-1,0,-1,2,-1,-1,-1,0,1,0,1,-1],
[0,1,1,-3,-3,2,-1,0,-1,1,-2,0,-1,1,-1,-2,0,1,2,1,1,0],
[0,0,1,-3,-3,3,-1,0,-1,0,-1,0,-1,1,-1,-1,-1,1,1,1,1,0],
[-1,0,1,2,1,-1,0,-1,1,2,-1,0,0,-1,1,0,1,0,-1,1,-1,0],
[-1,-1,1,2,1,0,0,-1,0,1,0,1,-1,-1,0,1,1,0,-1,0,0,0],
[-1,0,-1,3,2,-3,1,0,2,0,-1,-1,1,0,2,0,2,-1,-1,0,-1,0],
[0,0,1,2,2,-1,0,-1,0,2,0,1,0,-2,0,1,1,0,-1,0,0,1],
[-1,0,0,0,-1,1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0],
[0,-1,0,3,2,-1,0,0,0,1,1,1,0,-2,0,1,1,0,-1,0,0,1],
[0,0,-2,2,2,-2,1,0,0,-1,1,0,1,0,1,1,0,-1,-1,-1,0,0],
[0,0,-1,0,1,-1,0,0,0,-1,1,0,0,0,0,1,-1,-1,0,-1,0,0],
[0,-1,0,1,0,0,0,0,0,0,1,1,-1,0,-1,1,0,0,0,0,0,0],
[1,-1,0,-1,0,1,-1,0,-1,0,1,1,0,-1,-1,0,-1,0,1,-1,1,1],
[1,-1,-1,3,4,-3,0,0,0,0,2,1,1,-2,1,2,0,-1,-1,-2,0,1],
[2,-2,0,0,1,0,0,1,-1,-1,2,2,0,-1,-2,1,0,0,1,-3,1,1],
[1,-1,-1,2,3,-2,1,0,0,-1,2,1,1,-1,0,2,0,-1,-1,-2,0,0],
[0,1,-2,0,1,-2,1,0,1,-1,1,-1,1,1,1,1,-1,-1,-1,-1,-1,-1],
[1,-2,0,2,1,-1,0,1,0,0,1,1,0,-1,0,1,0,0,0,-1,0,1],
[0,-1,-1,2,2,-2,1,0,1,-1,1,0,1,0,1,1,0,-1,-1,-1,-1,0],
[0,-1,0,2,1,-1,0,0,0,0,0,0,1,-1,1,0,1,0,-1,0,0,1],
[1,0,-1,-3,-1,1,0,1,-1,-2,1,0,0,1,-1,-1,-1,-1,2,-2,1,0]],
[[0,0,1,-3,-4,3,-1,1,-1,0,0,0,-2,1,-2,-1,-1,1,2,1,0,0],
[1,0,0,-5,-3,4,-1,1,-3,-1,2,1,-2,1,-3,0,-3,1,2,-1,1,0],
[0,0,-1,-2,0,1,0,0,-1,-2,1,0,0,1,-1,0,-1,0,1,-2,1,0],
[1,-1,1,-4,-3,4,-1,1,-2,-1,2,1,-2,1,-3,0,-2,1,2,-1,1,0],
[-1,1,-1,0,0,-1,0,0,1,0,-1,-1,0,1,1,0,0,-1,0,1,-1,-1],
[0,0,0,-2,-2,2,0,1,-1,0,1,1,-2,1,-2,0,-1,0,1,0,0,-1],
[-1,-1,1,3,1,-1,0,-1,1,1,-1,0,0,-1,1,0,2,0,-1,1,-1,0],
[0,1,-1,-1,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,-1],
[0,0,0,1,1,0,0,0,-1,1,1,1,-1,-1,-1,1,0,0,0,0,0,0],
[-1,0,0,4,2,-2,1,-1,2,1,-1,-1,1,-1,2,0,2,0,-2,1,-1,0],
[0,0,0,2,2,-1,0,-1,0,1,0,0,1,-2,1,0,1,0,-1,0,0,1],
[0,0,0,1,1,-1,0,0,0,1,0,1,0,-1,0,1,0,0,-1,0,0,0],
[0,-1,0,4,3,-2,1,-1,1,1,0,1,1,-2,1,1,2,0,-2,-1,0,1],
[-2,1,0,0,-1,0,0,-1,1,1,-1,-1,-1,1,1,0,0,0,-1,2,-1,-1],
[0,0,0,1,1,-1,0,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,0],
[0,0,0,-1,-1,0,1,0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,-1],
[0,1,0,-1,-1,0,0,0,0,1,-1,0,0,0,0,-1,0,0,0,1,0,0],
[0,1,-1,2,3,-3,0,-1,1,1,0,0,1,-1,2,1,0,-1,-1,0,-1,0],
[1,-2,1,2,2,-1,0,0,0,1,1,2,0,-2,-1,1,1,0,0,-1,0,1],
[-1,0,1,2,0,-1,0,-1,1,2,-2,0,0,-1,1,0,2,0,-1,2,-1,0],
[-1,0,2,1,-1,1,0,-1,0,2,-2,0,-1,-1,0,-1,2,1,0,2,0,0],
[-2,1,0,0,-1,0,0,-1,0,1,-1,-1,-1,1,1,0,0,0,-1,2,-1,-1]]]],
[ # Q-class [22][12]
[[12],
[3,12],
[-4,-1,12],
[4,4,-3,12],
[4,3,2,4,12],
[0,2,0,-2,0,12],
[1,4,-1,2,4,-3,12],
[3,4,-4,2,3,-4,4,12],
[0,0,0,-2,-4,4,-4,-2,12],
[4,1,2,2,4,-2,0,0,0,12],
[-2,2,3,-4,1,4,-4,-2,2,-1,12],
[-3,1,3,3,0,0,2,1,1,-2,0,12],
[3,-1,-2,0,2,0,0,0,4,1,2,0,12],
[-2,4,4,2,3,-4,1,2,-1,4,2,0,0,12],
[-3,-1,2,-2,-2,1,0,0,3,-2,2,4,-2,-2,12],
[3,-3,-3,3,4,0,-2,-2,0,4,2,-2,4,0,-2,12],
[-4,-1,4,-1,-3,3,-3,-3,1,-2,0,1,-2,1,-2,-2,12],
[-4,0,-1,-2,-2,4,0,-3,0,-4,2,2,0,-3,-2,0,2,12],
[0,-3,2,1,-4,-2,0,-3,-2,2,-2,3,0,-1,2,0,2,-4,12],
[4,3,-4,2,0,-2,3,0,-4,3,0,-2,0,0,-4,1,-4,-2,4,12],
[2,4,0,3,2,4,0,-2,-2,4,0,-4,-3,0,0,2,2,-2,0,0,12],
[4,0,-2,4,2,2,-1,4,-4,3,-4,0,-2,0,0,0,0,-4,3,1,4,12]],
[[[-3,7,-2,-2,1,-8,4,-7,4,0,5,-1,-2,-5,-3,2,1,-1,0,-4,-4,9],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[1,-1,1,1,-2,3,0,1,-3,1,-1,0,1,1,1,0,0,-1,-1,0,-1,-2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[-1,3,0,0,-1,-1,1,-2,-1,1,1,-1,0,-2,0,1,1,-1,-1,-1,-3,2],
[1,-2,-1,0,0,2,-1,1,-1,0,-1,1,0,2,1,-1,0,0,0,1,1,-2],
[-2,3,0,0,0,-3,2,-3,1,0,2,-1,0,-3,-1,1,1,-1,-1,-1,-2,4],
[-2,5,-1,-2,2,-7,2,-5,4,-1,3,-1,-1,-4,-2,1,1,0,0,-2,-2,7],
[1,-1,-1,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,0,0,0,1,-1],
[-1,3,0,0,-1,-3,3,-3,1,1,3,-1,-1,-3,-1,1,1,-1,-1,-2,-3,4],
[2,-4,1,0,0,5,-3,5,-2,-1,-4,1,1,4,2,-1,-1,1,1,3,3,-6],
[1,-1,1,0,-1,2,-1,1,-2,0,-2,1,1,1,1,0,0,0,-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],
[0,1,0,0,0,-1,1,-1,0,0,1,-1,0,-1,0,0,0,0,0,-1,-1,1],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,1,0,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,-1],
[3,-6,1,1,0,5,-3,5,-2,-1,-3,1,1,5,2,-2,-1,2,1,3,4,-6],
[1,-3,1,1,-1,4,-2,3,-2,0,-2,1,1,2,1,-1,-1,0,0,2,2,-4],
[0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,1],
[-1,1,0,-1,1,-2,1,-1,2,-1,1,0,-1,-1,-1,1,0,0,0,0,0,2],
[1,-3,0,1,0,3,-1,3,-1,0,-1,0,0,2,1,-1,0,1,1,1,1,-3],
[-2,5,-2,-2,2,-7,3,-6,4,0,4,-1,-2,-4,-2,1,1,0,0,-3,-3,8]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,-1,1,-2,0,1,1,0,0,-1,0,0,1,-1,-1,-1,-1,1],
[1,-3,2,1,0,3,-2,4,-1,-1,-3,0,1,2,2,0,0,1,0,3,2,-4],
[-2,5,-1,-1,-1,-5,4,-6,2,1,4,-1,-1,-4,-2,2,1,-2,-2,-3,-4,7],
[-1,2,-2,-1,1,-4,2,-4,2,0,3,0,-1,-2,-2,0,0,-1,0,-2,-1,4],
[1,-3,1,1,1,2,-2,3,0,-1,-2,0,0,2,1,-1,-1,2,1,2,2,-3],
[1,0,0,0,0,1,-1,0,-1,0,-1,0,0,1,1,0,0,0,0,0,0,-1],
[0,0,0,0,1,-1,0,0,1,-1,0,0,0,0,0,0,0,1,1,0,1,0],
[-2,3,0,0,-1,-3,2,-3,1,1,2,-1,0,-3,-1,1,0,-1,-1,-2,-2,4],
[1,-2,0,1,0,1,0,1,0,0,0,0,0,1,1,-1,0,1,0,1,1,-1],
[-1,2,-2,-1,2,-3,1,-3,2,0,2,0,-1,-1,-1,0,0,0,1,-2,-1,3],
[-2,3,0,0,0,-3,2,-3,2,0,2,-1,-1,-3,-2,1,0,-1,0,-2,-2,4],
[1,-1,0,0,1,1,-1,1,0,0,-1,0,0,1,1,-1,0,1,1,1,1,-2],
[2,-6,1,0,2,4,-4,6,0,-2,-4,1,1,5,2,-2,-1,3,2,4,5,-6],
[-1,2,0,-1,0,-3,1,-2,1,0,1,0,0,-2,0,1,1,0,-1,0,-1,3],
[1,-2,2,1,-2,4,-1,3,-2,0,-2,0,1,2,1,0,-1,0,0,1,1,-3],
[1,0,1,1,-3,3,0,1,-3,1,-1,0,1,1,1,1,0,-1,-1,0,-1,-2],
[1,-2,1,0,1,2,-2,3,0,-1,-2,0,0,2,1,0,0,1,1,2,2,-3],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0]]]]
];
MakeImmutable( IMFList[22].matrices );
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