/usr/share/gap/grp/imf25.grp is in gap-libs 4r7p5-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
#A imf25.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 25,
##
## [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 25.
##
IMFList[25].matrices := [
[ # Q-class [25][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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
[[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [25][02]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[0,0,0,0,0,2],
[0,0,0,0,0,1,2],
[0,0,0,0,0,1,1,2],
[0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-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]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[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],
[0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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,-1,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0],
[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]]]],
[ # Q-class [25][03]
[[4],
[2,4],
[1,1,4],
[2,2,2,4],
[2,1,2,1,4],
[1,2,0,1,0,4],
[2,1,1,1,2,0,4],
[1,1,1,1,1,-1,1,4],
[1,1,1,1,1,0,2,2,4],
[2,1,1,1,2,0,2,1,1,4],
[1,1,2,2,1,0,2,1,2,1,4],
[1,1,2,1,2,0,1,2,2,1,1,4],
[1,1,1,1,1,0,2,1,2,1,2,1,4],
[2,2,1,2,1,1,1,2,2,1,1,2,1,4],
[2,1,1,1,2,-1,2,2,1,2,1,1,1,1,4],
[1,2,1,1,1,0,2,1,2,1,2,1,2,1,1,4],
[1,1,2,2,1,-1,1,2,1,1,2,1,1,1,2,1,4],
[2,2,1,2,1,1,1,1,1,1,1,1,2,2,1,1,1,4],
[1,1,1,1,1,0,1,2,2,2,1,2,1,2,1,1,1,1,4],
[1,1,2,2,1,0,1,1,1,2,2,1,1,1,1,1,2,1,2,4],
[1,1,1,1,1,0,1,1,1,2,1,1,2,1,1,1,1,2,2,2,4],
[1,1,1,1,1,-1,1,2,1,1,1,1,2,1,2,1,2,2,1,1,2,4],
[1,1,2,1,2,0,1,1,1,1,1,2,2,1,1,1,1,2,1,1,2,2,4],
[1,2,2,1,2,0,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,2,4],
[1,2,1,1,1,0,1,1,1,2,1,1,1,1,1,2,1,1,2,2,2,1,1,2,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
[0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1],
[0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1],
[0,-1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1],
[0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
[0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,-1,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,-1,0,0,0,1,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
[1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,-1,1],
[0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1]],
[[-1,0,0,0,0,0,0,-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,-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,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,-1,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,-1,0,0,0,1,0,0,0],
[0,0,0,0,-1,0,0,-1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1],
[0,1,0,0,0,-1,0,-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,-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,-1,1,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0],
[0,1,0,0,0,-1,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,0,0,0,-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,-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,-1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,-1,1,0,0,0],
[0,0,0,-1,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,1,-1,0,0,0,0,0],
[0,0,-1,0,0,0,0,-1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-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]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[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],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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]]]],
[ # Q-class [25][04]
[[6],
[3,6],
[2,2,6],
[2,2,2,6],
[2,2,2,0,6],
[2,2,3,2,2,6],
[2,2,3,2,2,0,6],
[3,3,1,1,1,0,1,6],
[1,1,1,3,0,1,1,2,6],
[2,3,2,1,1,1,1,3,2,6],
[1,2,1,0,3,2,0,2,1,1,6],
[3,0,2,2,2,2,2,1,1,0,0,6],
[2,1,3,1,2,0,2,2,1,2,1,1,6],
[2,2,1,2,0,1,0,2,1,2,2,2,2,6],
[1,2,3,1,1,1,2,2,2,2,3,0,3,2,6],
[2,2,2,2,0,0,2,2,2,2,0,1,3,2,3,6],
[2,1,2,2,1,1,0,2,2,2,1,2,2,2,1,2,6],
[0,1,2,0,3,1,1,1,1,3,3,1,2,2,1,1,2,6],
[0,2,0,2,2,0,1,2,2,2,2,0,2,2,2,2,1,2,6],
[2,2,2,0,2,2,0,1,0,2,2,1,2,2,2,2,2,2,0,6],
[2,1,1,2,1,2,-1,2,2,1,2,2,1,2,1,1,0,1,1,1,6],
[2,1,2,1,1,0,3,1,2,2,0,1,3,1,3,2,2,1,0,2,-1,6],
[1,0,2,2,2,2,0,2,1,2,2,1,2,1,2,2,2,2,2,2,2,0,6],
[2,1,3,1,1,0,3,2,2,2,0,1,2,0,2,3,1,2,0,2,1,3,2,6],
[2,2,2,3,3,2,2,2,3,1,3,2,1,2,1,1,2,3,2,0,2,1,2,2,6]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-2,-1,2,2,1,-1,0,-1,2,2,0,1,1,0,1,0,-2,-1,-1,-1,-1,-2,2,0],
[0,0,2,0,1,-1,-1,0,1,0,2,0,-1,1,-2,1,-1,-1,0,-1,-1,1,1,0,-1],
[-2,-2,-2,3,3,2,-1,1,-1,2,2,0,1,1,0,1,0,-2,-1,-1,-1,-1,-3,3,-1],
[-2,-3,-2,3,4,2,0,1,-1,3,2,-1,1,2,0,1,1,-3,-2,-1,-1,-2,-3,3,-1],
[0,1,1,-1,-1,-1,-1,-1,0,0,1,1,0,0,-1,0,-1,-1,1,0,0,1,1,0,1],
[2,2,1,-2,-2,-1,0,-1,1,-2,-2,0,-1,-1,1,-1,0,2,1,0,1,1,2,-2,1],
[1,-1,1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0],
[2,0,-1,0,-1,0,0,0,0,-1,-3,-1,0,-1,3,-1,0,2,0,1,0,-1,0,-1,2],
[-1,-2,-2,2,3,2,0,1,-1,1,0,-1,0,1,1,1,1,-1,-1,-1,0,-1,-2,2,-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,-1,0,0,0,1,0,0,0,-1,1,-1,0,0,-1,0,1,0,0,0],
[1,1,0,-1,-1,0,0,0,0,-1,-1,0,0,-1,1,0,0,1,0,0,0,0,1,-1,1],
[0,-1,0,1,1,0,-1,0,-1,1,1,0,0,0,0,1,0,-1,0,-1,0,0,-1,1,0],
[2,2,3,-3,-3,-2,0,-1,1,-2,0,0,-1,-1,-2,0,-1,1,2,0,1,3,3,-3,1],
[2,1,2,-1,-2,-1,-1,0,1,-2,0,0,-1,-1,-1,0,-1,2,1,0,0,2,2,-2,0],
[1,0,-1,0,0,1,0,0,0,-1,-1,-1,0,0,1,0,0,1,0,0,0,0,0,0,0],
[1,2,2,-1,-1,-1,-1,0,1,-2,0,0,-1,0,-1,0,-1,1,1,-1,0,2,2,-1,-1],
[0,-2,-3,1,1,2,1,1,-1,1,-1,-1,1,0,2,0,1,0,-1,0,0,-2,-2,1,1],
[-1,-1,-1,1,2,1,1,0,0,1,1,-1,0,1,0,1,1,-1,-1,-1,0,-1,-1,1,-1],
[1,1,1,-1,-2,-1,-1,-1,0,0,1,1,0,-1,-1,0,-1,0,1,0,0,1,1,0,1],
[0,-2,-1,2,3,1,-1,1,0,1,0,-1,0,1,1,1,0,0,-1,-1,-1,-1,-2,1,-1],
[1,0,0,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],
[-1,-1,0,1,2,1,-1,0,0,1,2,0,0,1,-1,1,0,-2,0,-1,-1,0,-1,2,-1]],
[[-2,-3,-2,2,2,2,0,1,-2,3,1,0,1,0,1,1,1,-2,-1,0,-1,-2,-3,2,1],
[0,-2,0,1,1,1,0,1,-1,1,0,-1,-1,0,0,1,0,0,0,0,0,0,-1,0,0],
[0,-2,0,2,1,1,-1,1,-1,1,0,0,0,0,1,0,0,0,0,0,-1,-1,-2,1,0],
[1,1,0,-1,-2,0,0,0,0,-1,-2,0,0,-1,1,-1,0,2,1,1,0,0,1,-1,1],
[1,0,0,0,-1,0,0,0,-1,0,-1,0,0,-1,1,0,0,1,0,0,0,0,0,-1,1],
[1,1,0,0,-1,0,0,0,0,-1,-1,0,0,-1,1,-1,0,2,0,0,0,0,1,-1,0],
[1,0,1,-1,-1,0,0,0,0,-1,-1,0,-1,0,0,0,0,1,1,0,0,1,1,-1,0],
[-2,-2,0,2,2,1,-1,1,-1,2,3,0,0,1,-2,2,0,-2,-1,-1,-1,0,-2,2,-1],
[1,3,3,-2,-3,-2,-1,-1,1,-2,1,1,-1,-1,-3,0,-1,1,2,0,0,3,3,-2,0],
[-1,-1,1,1,1,0,-1,1,-1,1,1,0,-1,0,-1,1,0,-1,0,0,0,1,-1,0,0],
[1,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,-1,0],
[1,2,1,-2,-3,-1,0,-1,0,-1,0,1,0,-1,0,-1,0,1,1,0,0,1,2,-1,1],
[-2,-3,-2,3,3,2,-1,1,-2,3,1,0,1,1,1,1,1,-2,-1,-1,-1,-2,-4,3,0],
[0,-2,-1,1,1,1,0,1,-1,1,0,-1,0,0,1,0,1,0,0,0,0,-1,-2,1,0],
[0,-2,-1,2,1,1,-1,1,-1,1,0,0,0,0,1,0,0,0,0,0,-1,-1,-2,1,0],
[-2,-2,0,2,2,1,-1,1,-1,2,2,0,0,1,-1,1,0,-2,0,-1,-1,0,-2,2,-1],
[0,1,2,-1,-2,-1,-1,0,0,0,1,1,0,-1,-2,0,-1,0,1,0,0,2,1,-1,1],
[1,1,2,-1,-2,-1,0,0,0,-1,0,0,-1,-1,-1,0,0,1,1,0,1,2,1,-2,0],
[1,0,0,0,0,0,0,1,0,-1,-2,-1,-1,0,1,0,0,2,0,0,0,0,0,-1,0],
[0,-1,0,1,0,0,-1,0,-1,1,0,0,0,-1,1,0,0,0,0,0,0,0,-1,0,1],
[-1,-1,-2,2,1,1,0,0,-1,2,1,0,1,0,1,0,1,-1,-1,0,-1,-2,-2,2,0],
[0,0,0,0,-1,0,-1,0,-1,0,0,1,0,-1,0,0,0,0,1,0,0,1,0,0,1],
[-1,-1,-1,2,1,1,-1,1,-1,1,0,0,1,0,1,0,0,0,-1,0,-1,-1,-2,1,0],
[-1,-2,0,2,1,1,-1,1,-1,1,1,0,0,0,0,1,0,-1,0,0,-1,0,-2,1,0],
[1,1,1,-1,-2,0,0,0,0,-1,0,0,0,-1,-1,0,0,1,1,0,0,1,1,-1,0]]]],
[ # Q-class [25][05]
[[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],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[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,-1,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1],
[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],
[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,-1,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[-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]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[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]]]]
];
MakeImmutable( IMFList[25].matrices );
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