gap-libs 4r7p5-2 / usr / share / gap / grp / imf30.grp

#############################################################################
##
#A  imf30.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 30,
##
##  [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 30.
##
IMFList[30].matrices := [

[ # Q-class [30][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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],

[ # Q-class [30][02]
 [[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],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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[ # Q-class [30][03]
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[ # Q-class [30][09]
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[ # Q-class [30][10]
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[ # Q-class [30][11]
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[ # Q-class [30][12]
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[ # Q-class [30][13]
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[ # Q-class [30][14]
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[ # Q-class [30][15]
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[ # Q-class [30][16]
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
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[ # Q-class [30][17]
 [[3],
  [0,3],
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  [0,1,1,3],
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 [[-1,-1,0,0,-1,0,0,2,0,0,1,0,-1,0,0,0,0,0,-1,0,0,0,0,1,0,1,0,1,0,0],
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[ # Q-class [30][18]
 [[6],
  [3,6],
  [2,3,6],
  [2,3,3,6],
  [2,3,2,2,6],
  [3,3,2,2,2,6],
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[ # Q-class [30][19]
 [[4],
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[ # Q-class [30][20]
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[ # Q-class [30][21]
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[ # Q-class [30][22]
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[ # Q-class [30][23]
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  [0,-1,-1,0,1,0,-1,0,0,1,1,0,-1,0,-1,-1,0,0,0,2,0,0,1,-1,0,0,1,0,0,0],
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  [0,1,1,0,0,1,0,1,-1,0,0,-1,0,0,-1,1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0],
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  [-1,2,0,0,-1,3,1,1,0,1,-1,-1,0,1,0,0,-2,0,0,-1,0,1,0,0,-1,-1,-1,0,0,0],
  [0,2,0,0,-1,2,0,1,0,1,-1,-1,0,1,-1,0,-2,0,0,0,0,1,0,0,0,0,0,-1,-1,0],
  [-1,2,1,-1,-2,2,0,2,-1,0,-1,-1,1,1,0,1,-1,0,-1,-1,0,1,1,0,-1,-1,0,0,0,0],
  [0,-1,0,1,1,-2,-1,-1,0,0,2,1,0,-1,-1,0,0,0,1,1,1,0,0,-1,1,0,0,-1,-1,0],
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  [0,0,1,1,0,0,0,-1,0,0,1,0,1,-1,-1,1,-1,0,1,-1,1,0,-1,0,0,0,-1,-1,0,0]],
 [[-2,1,1,-1,-1,3,0,1,-1,2,-1,-1,0,1,0,0,-2,2,-1,-1,0,1,1,0,-1,0,-1,0,1,-1],
  [0,-2,0,0,2,-2,-2,-1,0,1,1,1,-1,-1,-1,-1,1,1,0,2,0,0,1,-1,1,1,1,0,0,-1],
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  [1,-2,0,0,2,-3,-2,-1,0,1,2,1,-1,-1,-2,-1,1,0,1,3,0,0,1,-1,1,1,2,-1,-1,-1],
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[ # Q-class [30][24]
 [[6],
  [3,6],
  [0,0,6],
  [2,1,2,6],
  [1,2,1,1,6],
  [2,1,2,0,1,6],
  [1,2,0,1,2,1,6],
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  [2,1,2,2,3,2,1,2,6],
  [0,0,3,1,2,1,0,0,1,6],
  [2,1,2,0,0,2,1,2,0,1,6],
  [2,1,2,0,1,0,0,0,2,1,2,6],
  [2,1,2,0,1,2,0,0,2,1,2,2,6],
  [1,2,1,1,2,0,0,0,1,2,0,1,0,6],
  [1,2,1,3,2,0,2,1,1,2,0,0,0,2,6],
  [1,2,1,0,2,1,0,0,1,2,1,1,3,0,0,6],
  [2,1,2,2,1,0,0,0,2,1,0,2,0,3,1,0,6],
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  [0,0,2,2,1,0,1,2,2,1,2,2,0,1,1,0,2,0,6],
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  [0,0,1,1,2,1,2,1,1,2,1,0,1,2,2,2,1,2,1,1,6],
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  [0,0,1,1,2,0,2,1,1,2,1,1,0,2,2,0,1,0,3,0,2,0,1,6],
  [1,2,1,1,0,0,2,1,0,2,1,1,0,2,2,0,1,0,0,1,2,2,1,0,6],
  [1,2,1,0,2,0,0,0,1,2,1,3,1,2,0,2,1,0,1,1,0,2,0,2,2,6],
  [1,2,1,0,0,1,2,1,0,2,3,1,1,0,0,2,0,2,1,1,2,2,1,2,2,2,6],
  [1,2,0,1,2,0,2,1,1,0,1,1,1,0,2,2,0,0,1,1,2,2,1,2,0,2,2,6],
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  [2,1,2,2,1,2,0,0,2,1,2,2,0,0,1,0,0,1,0,2,0,1,0,0,1,1,1,0,0,6]],
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  [1,-2,1,-1,0,0,0,0,0,-1,0,-1,0,1,1,1,0,1,0,0,-2,0,0,0,1,0,0,1,-1,0]],
 [[0,-3,0,0,1,0,0,0,0,-1,0,0,0,2,0,1,0,1,0,0,-3,1,0,0,1,-1,1,1,0,0],
  [2,-3,1,0,1,0,0,0,-1,-1,-1,0,0,2,0,1,-1,1,0,-1,-3,1,1,0,1,-1,1,1,-1,0],
  [0,-1,0,0,0,0,-1,0,0,-1,0,0,0,1,0,1,0,1,0,0,-2,0,0,1,2,-1,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
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[ # Q-class [30][25]
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[ # Q-class [30][26]
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[ # Q-class [30][27]
 [[10],
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[ # Q-class [30][28]
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  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [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],
  [0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-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,-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,-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,-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,-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,-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,-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,-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,-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,-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],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]],

[ # Q-class [30][30]
 [[15],
  [3,15],
  [4,5,15],
  [5,5,1,15],
  [3,3,3,3,15],
  [5,1,4,3,1,15],
  [5,2,5,4,4,1,15],
  [3,1,4,1,3,-3,3,15],
  [5,1,3,1,-1,-1,3,5,15],
  [3,5,0,1,0,3,3,0,5,15],
  [3,3,1,3,5,3,3,1,5,3,15],
  [-3,0,0,5,3,-3,3,5,3,-3,3,15],
  [3,4,4,3,4,3,3,3,3,1,5,3,15],
  [3,0,1,1,3,5,3,-1,1,-1,4,5,3,15],
  [3,5,2,3,3,5,-1,-5,-1,3,1,-3,-2,3,15],
  [3,1,3,-3,1,3,3,4,1,-1,3,1,3,4,-3,15],
  [3,3,3,-3,-1,-1,-1,-1,5,0,3,1,0,1,3,3,15],
  [-3,1,-2,3,1,-3,1,2,3,3,3,3,5,-1,-3,3,0,15],
  [4,1,3,3,5,4,3,3,1,-1,0,2,0,3,3,1,3,-3,15],
  [1,4,1,5,-3,3,4,-1,5,4,3,3,3,3,1,1,-1,3,-1,15],
  [4,4,4,0,5,3,-2,3,1,3,3,-3,3,-3,3,0,1,-3,3,-1,15],
  [3,1,3,-1,1,5,0,1,3,-1,-1,-1,5,3,0,3,3,1,1,-3,1,15],
  [0,3,-1,3,-3,3,0,3,1,1,3,5,-3,2,3,3,3,-2,3,1,-3,-1,15],
  [5,3,1,1,0,4,1,3,0,-3,3,-1,3,2,1,5,0,0,2,1,3,3,3,15],
  [3,0,1,3,3,3,3,0,1,3,3,0,2,3,5,3,-1,3,1,3,-3,0,0,1,15],
  [1,3,3,3,1,-1,5,-1,3,-3,5,3,1,2,5,3,3,3,3,3,0,-1,3,4,1,15],
  [3,1,1,4,3,1,3,3,0,-1,2,2,1,-1,3,3,1,0,3,4,3,-3,5,5,2,4,15],
  [1,1,-1,4,5,-1,3,3,1,-1,4,3,1,-3,0,0,0,-1,-3,1,1,1,1,-1,1,-1,3,15],
  [4,1,3,4,1,1,1,5,3,1,4,3,1,5,0,1,-1,3,3,5,5,-3,-1,5,2,3,2,-5,15],
  [4,4,3,-4,1,-1,5,3,1,3,-3,-1,0,1,3,3,5,-1,3,-2,-3,3,3,3,3,1,0,-1,-3,15]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,-1,0,0,-1,0,-1,0,0,1,0,0,0,0],
  [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [3,2,1,-4,-3,0,0,-2,0,-1,1,2,0,0,1,-1,-3,3,2,-2,0,0,0,-1,0,-1,1,2,1,0],
  [5,5,1,-8,-6,1,1,-5,2,-4,1,4,0,0,2,-1,-6,6,4,-4,1,-1,1,-3,0,-3,2,4,2,0],
  [-1,-2,0,2,2,-1,0,2,-1,1,1,-1,0,-1,1,1,1,-2,-1,2,-1,1,0,1,-1,0,-1,-2,-1,0],
  [3,4,1,-5,-5,1,0,-3,1,-3,1,2,-1,2,-1,-2,-4,5,3,-3,2,-1,0,-2,1,-1,2,3,0,1],
  [1,1,0,-2,-1,0,0,-1,0,0,0,1,0,0,0,0,-1,1,1,-1,0,0,0,-1,0,0,1,1,1,0],
  [0,2,-1,-2,-1,1,1,-1,1,-1,0,1,1,-2,2,1,-1,0,1,-2,-2,0,-1,-1,-1,-1,1,1,3,0],
  [-5,-5,-1,9,5,0,-2,7,-2,4,0,-3,-1,1,-2,1,6,-6,-4,4,0,0,-3,3,0,4,-2,-5,-5,1],
  [3,3,1,-4,-3,1,0,-2,1,-2,0,2,-1,1,0,-1,-3,4,2,-2,1,-1,0,-1,0,-1,1,2,0,0],
  [7,8,1,-12,-9,2,2,-8,3,-6,1,5,0,0,2,-2,-9,9,6,-7,1,-1,1,-5,0,-4,4,7,5,0],
  [6,7,1,-10,-6,2,1,-5,2,-4,0,4,-1,1,0,-3,-6,7,4,-5,1,-1,1,-3,1,-2,3,5,2,-1],
  [4,6,0,-8,-6,2,2,-6,3,-5,2,4,0,-2,3,0,-7,5,4,-5,-1,0,0,-4,-1,-4,3,4,5,1],
  [-1,-2,0,2,1,-1,0,2,-1,1,1,0,0,-1,2,1,1,-2,-1,2,-1,1,-1,1,-1,0,-1,-2,-1,0],
  [5,5,1,-8,-5,1,1,-4,1,-3,0,3,-1,1,0,-2,-5,6,4,-3,1,-1,1,-2,1,-2,2,4,1,-1],
  [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [4,4,1,-6,-4,1,0,-3,1,-2,0,3,-1,1,0,-2,-4,5,3,-3,1,-1,0,-1,1,-1,2,3,0,-1],
  [6,6,1,-10,-7,0,2,-7,2,-5,2,5,1,-2,4,0,-8,6,5,-5,-1,0,1,-4,-1,-5,3,5,5,0],
  [-1,0,-1,1,1,1,0,2,0,0,0,-1,0,0,0,0,1,-1,-1,0,-1,0,-1,0,0,1,0,-1,0,0],
  [2,1,1,-3,-1,0,0,-1,0,0,-1,1,0,1,0,-1,-1,2,1,-1,0,-1,1,0,0,0,0,2,0,-1],
  [-1,0,-1,0,1,0,0,0,0,1,0,0,1,-2,1,1,0,-2,0,0,-2,1,0,0,-1,0,0,0,2,0],
  [0,-1,0,1,0,-1,0,1,-1,1,1,0,0,-1,1,1,0,-1,0,1,-1,1,-1,0,-1,0,0,-1,0,0],
  [4,3,1,-6,-3,-1,1,-4,1,-2,0,2,0,0,1,-1,-4,4,3,-2,0,0,2,-1,0,-2,1,3,2,-1],
  [0,-1,0,1,1,0,0,2,-1,0,0,0,-1,1,-1,-1,1,0,-1,2,2,0,0,1,1,1,-1,-2,-3,0],
  [8,9,2,-14,-10,1,2,-9,3,-6,1,6,0,0,3,-2,-10,10,7,-7,0,-1,1,-4,0,-5,4,8,5,-1],
  [4,3,1,-5,-4,0,1,-2,0,-2,0,2,-1,2,0,-2,-3,5,2,-2,2,-1,1,-1,1,-1,1,2,-1,-1],
  [-5,-6,-1,9,6,-1,-2,7,-3,5,-1,-4,0,1,-2,1,7,-6,-4,5,0,1,-1,3,0,4,-3,-5,-4,0],
  [4,4,1,-7,-4,1,1,-5,2,-3,0,3,0,0,1,-1,-5,5,3,-4,0,-1,1,-2,0,-2,2,4,3,0],
  [-3,-3,-1,5,3,-1,-1,3,-1,2,0,-2,0,0,-1,1,3,-4,-2,3,0,1,-1,1,0,2,-1,-3,-2,1]],
 [[-10,-10,-2,17,10,-1,-3,11,-3,7,-1,-7,-1,2,-4,2,11,-11,-8,8,1,1,-3,5,0,6,-4,-9,-7,2],
  [-3,-3,0,5,3,-1,-1,3,-1,3,-1,-2,0,1,-1,1,3,-3,-2,2,0,0,-1,2,0,2,-1,-2,-2,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-3,-4,0,6,3,0,-2,5,-2,3,0,-2,-1,2,-2,0,4,-3,-3,3,1,0,-2,2,0,3,-1,-3,-4,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
  [-1,-1,0,2,1,0,-1,2,0,1,0,-1,-1,1,-1,0,1,-1,-1,1,0,0,-1,1,0,1,0,-1,-2,0],
  [0,0,0,1,-1,1,-1,1,0,0,0,0,-1,2,-2,-1,0,1,0,0,2,-1,-1,0,1,1,0,0,-2,1],
  [-4,-5,-1,8,5,-1,-1,5,-2,3,0,-3,0,0,-1,1,5,-5,-4,4,0,1,-1,2,0,2,-2,-5,-3,1],
  [-7,-7,-2,11,7,-1,-1,7,-2,5,0,-4,1,-2,0,3,7,-9,-5,5,-2,2,-2,3,-1,3,-3,-6,-2,1],
  [-2,-2,0,4,2,0,-1,3,-1,2,-1,-1,-1,1,-2,0,3,-2,-2,2,1,0,-1,2,1,2,-1,-2,-3,0],
  [-1,-1,0,1,0,-1,0,0,0,1,1,0,1,-2,2,2,0,-2,0,0,-2,1,-1,0,-1,-1,0,0,2,0],
  [3,2,1,-4,-3,0,0,-2,0,-1,1,2,0,0,1,-1,-3,3,2,-2,0,0,0,-1,0,-1,1,2,1,0],
  [0,-1,0,1,0,-1,0,1,-1,1,1,0,0,-1,1,1,0,-1,0,1,-1,1,-1,0,-1,0,0,-1,0,0],
  [0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,-1,0,0,-1,0,-1,0,0,1,0,0,0,0],
  [-1,-2,1,2,2,-1,-1,2,-1,2,-1,-1,-1,2,-2,-1,2,-1,-1,2,1,0,0,2,1,2,-1,-1,-3,-1],
  [-3,-4,0,6,3,-2,-1,3,-1,2,0,-3,0,1,-1,1,3,-3,-2,3,1,0,0,2,0,1,-2,-3,-3,1],
  [-3,-4,0,5,4,-2,-1,2,-1,3,-1,-3,1,0,-1,1,3,-4,-2,3,0,1,1,2,0,2,-2,-2,-1,0],
  [1,-1,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,-1,0,-1,0],
  [-6,-7,-1,11,8,-1,-3,8,-3,6,-1,-5,0,1,-3,1,8,-8,-5,6,-1,1,-2,4,0,5,-3,-6,-5,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-5,-5,-1,8,6,-1,-1,5,-2,4,-1,-4,0,0,-2,1,6,-6,-4,4,-1,1,-1,3,0,3,-2,-4,-2,0],
  [-4,-5,-1,7,5,-1,-1,4,-1,3,0,-3,0,-1,0,2,4,-5,-3,4,-1,1,-1,2,-1,2,-2,-4,-2,1],
  [0,-1,1,1,0,-1,-1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0],
  [-5,-6,-1,9,6,-2,-1,6,-2,4,0,-4,0,0,0,2,6,-6,-4,5,-1,1,-1,3,-1,2,-3,-5,-3,0],
  [-2,-4,0,5,3,-2,-1,4,-2,2,1,-1,-1,0,0,1,3,-3,-2,4,1,1,-1,2,0,1,-2,-4,-4,0],
  [-1,-2,1,2,1,-1,-1,1,-1,2,0,-1,0,1,-1,0,1,-1,0,1,0,0,0,1,0,1,-1,0,-1,0],
  [1,0,1,-1,-1,-1,0,-1,0,-1,0,0,0,1,0,-1,-1,2,1,0,1,0,1,0,0,-1,0,1,0,0],
  [1,1,0,-2,-2,0,1,-2,1,-2,1,1,0,0,1,0,-2,2,1,-1,1,0,0,-1,0,-2,1,1,1,1],
  [-5,-6,-1,9,7,-1,-2,7,-3,5,-1,-4,0,0,-2,1,7,-7,-5,5,-1,1,-1,3,0,4,-3,-5,-3,0],
  [-2,-3,0,5,3,-1,-1,3,-1,2,-1,-2,-1,2,-2,0,3,-2,-2,3,2,0,0,2,1,2,-2,-3,-4,0]]]],

[ # Q-class [30][31]
 [[8],
  [3,8],
  [2,1,8],
  [1,-1,-2,8],
  [0,2,0,-4,8],
  [1,2,2,-2,1,8],
  [0,1,1,-1,0,2,8],
  [0,1,2,1,-1,3,1,8],
  [1,-1,0,3,0,1,2,-1,8],
  [0,2,-1,0,0,1,0,1,-3,8],
  [-1,-2,3,0,-1,1,3,-1,3,-2,8],
  [0,-1,-2,1,-3,0,-1,0,0,-2,0,8],
  [0,0,-2,-1,0,0,0,-2,0,2,2,1,8],
  [2,-1,1,-2,1,2,0,0,0,0,-1,-1,2,8],
  [0,-1,-1,3,-4,-1,-2,2,-1,-1,0,3,0,-1,8],
  [0,-1,-1,2,-2,-2,0,-3,3,0,0,1,0,-2,0,8],
  [-1,1,0,0,3,1,-2,-1,1,0,0,-1,1,0,-2,-1,8],
  [1,0,-2,1,0,-2,-3,-1,-1,1,-4,1,-1,2,-1,0,2,8],
  [2,0,2,0,0,2,1,2,-1,3,0,-2,-3,-1,0,-1,-2,0,8],
  [-3,0,-1,1,-1,-1,-1,-2,2,-1,2,2,2,-3,0,2,3,0,-3,8],
  [1,0,1,1,-2,-3,1,0,-3,1,0,-1,-2,-1,1,-1,-2,0,3,-2,8],
  [0,0,-1,2,-2,1,0,1,1,-1,-2,1,-1,1,3,-1,0,1,-1,1,-2,8],
  [0,2,-1,1,-1,1,4,2,1,0,0,1,0,-3,1,3,-1,-3,-1,0,-1,0,8],
  [3,0,2,2,-3,0,3,-1,1,1,2,1,-1,-1,1,2,-1,-1,3,-1,3,-1,2,8],
  [0,2,2,-2,1,-1,2,1,-1,-3,2,-1,-2,-2,-1,-3,-2,-2,0,0,2,-1,0,-2,8],
  [1,1,-1,-2,2,-1,-1,-2,-3,-1,-3,2,0,1,2,0,0,0,-1,-2,1,0,1,1,-1,8],
  [-1,-1,-1,3,-3,-3,-2,-1,-1,3,0,-2,1,-1,3,2,-2,0,0,1,2,1,-1,0,-2,-2,8],
  [-1,-1,-1,2,-4,-2,-2,1,-2,2,-3,0,0,0,3,3,0,2,-2,0,0,2,2,0,-3,0,4,8],
  [3,1,0,2,-2,0,-1,0,-1,1,-2,2,0,1,-1,-1,2,4,0,0,0,1,-1,3,-2,0,-2,1,8],
  [0,-3,0,2,-3,-3,-3,1,-2,0,0,0,-1,0,4,-2,-2,0,1,-3,3,0,-3,1,0,0,3,2,0,8]],
 [[[-2,-1,-3,-2,0,1,-5,5,2,-1,0,0,3,-2,-2,1,1,0,-2,-5,0,2,-4,8,5,1,3,1,-1,-5],
  [-2,0,-6,-2,-2,-1,-7,9,1,-2,3,0,3,-2,-5,1,2,0,-2,-7,-2,3,-7,12,6,3,4,2,-3,-8],
  [0,-2,3,0,0,2,2,-3,1,2,-3,0,0,1,2,1,1,1,0,2,1,-1,4,-4,1,0,1,-3,2,4],
  [-1,1,-3,0,1,-1,-4,4,0,-2,2,0,2,-2,-3,-1,-2,0,-1,-3,0,2,-5,7,1,0,-1,4,-3,-5],
  [0,-1,2,0,0,1,2,-2,0,1,-1,0,-1,1,2,1,1,0,0,1,0,-1,2,-3,0,0,1,-2,2,2],
  [0,-1,0,0,-1,0,-1,0,0,1,-1,0,0,-1,1,0,1,0,-2,-2,0,0,-1,2,1,-1,0,-1,-1,-2],
  [0,-1,0,0,-1,0,0,1,-1,0,-2,0,1,0,1,2,2,0,-1,-2,-1,0,-1,2,2,-1,1,-2,-1,-1],
  [-1,-1,2,0,0,0,1,-2,1,1,-3,1,0,1,2,0,1,0,0,0,0,-1,2,-1,1,-1,1,-2,1,1],
  [1,-3,7,0,1,3,8,-8,0,3,-6,1,-2,2,6,3,2,1,1,4,1,-3,8,-12,-1,-2,2,-7,6,9],
  [0,0,0,1,1,0,-1,0,-1,0,0,0,0,0,0,-1,-1,0,-1,0,0,0,0,2,0,-1,-1,1,-1,-1],
  [1,0,1,1,0,0,1,-1,-1,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,-1,0,-1,1],
  [0,-1,3,0,0,1,3,-3,0,1,-3,0,0,0,3,1,1,1,0,1,0,-1,3,-4,0,-1,1,-4,2,3],
  [0,1,0,0,0,0,0,0,-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,-1,-1,0,1,0,-1,0,-1,2,-1,-1,0,-2,-1,1,0,-1,1,-1,-2,-3,1,-1,-2],
  [-1,3,-8,-1,-1,-4,-9,9,0,-3,6,-1,2,-3,-6,-3,-2,-1,-2,-6,-1,4,-10,14,1,1,-2,7,-7,-11],
  [1,-2,7,1,2,3,8,-9,-1,2,-5,1,-2,3,5,2,1,1,3,6,1,-3,10,-13,-2,-2,1,-6,6,11],
  [1,-1,3,0,0,1,3,-3,0,1,-1,0,-1,0,2,0,0,1,0,2,1,-1,3,-5,-2,0,0,-2,2,3],
  [0,-1,3,1,2,2,3,-4,0,1,-2,0,0,0,3,0,-1,1,0,2,1,-1,3,-4,-1,-1,-1,-1,2,3],
  [0,-1,1,1,2,1,0,-1,0,1,-1,0,0,0,1,0,-1,0,-1,1,1,0,1,0,0,-1,-1,0,0,1],
  [1,-1,3,0,0,1,4,-3,-1,1,-2,0,-1,1,2,2,1,1,1,3,0,-1,4,-6,-1,0,1,-4,3,5],
  [0,1,-3,0,0,-1,-4,4,0,-1,3,-1,1,-1,-3,-1,-2,0,-1,-1,0,2,-3,5,0,1,-2,3,-3,-3],
  [-1,2,-10,-2,-3,-4,-10,12,0,-3,6,-2,3,-5,-6,-2,-1,-1,-4,-9,-2,4,-14,18,3,2,-1,7,-8,-15],
  [-1,-1,0,-1,-1,0,0,1,0,-1,-2,1,1,1,0,2,3,0,1,-2,-1,0,1,1,3,0,4,-3,1,0],
  [0,-2,2,0,1,2,1,-1,0,1,-3,0,1,0,2,2,1,1,-1,0,1,0,2,-1,2,-1,1,-3,1,2],
  [-1,1,-5,-1,-2,-2,-5,7,1,-2,3,0,2,-1,-5,0,1,-1,0,-4,-2,2,-6,8,3,3,2,3,-3,-6],
  [-1,1,-3,-1,-1,-1,-4,4,0,-1,3,-1,1,-1,-2,0,0,0,-1,-3,0,2,-3,5,1,1,0,1,-2,-4],
  [0,3,-7,0,0,-3,-7,7,-1,-3,6,-1,1,-2,-6,-3,-3,-1,-1,-3,-1,3,-8,11,0,1,-3,8,-6,-8],
  [0,1,-1,0,0,-1,-1,0,0,-1,1,0,0,0,-1,-2,-1,0,1,0,0,0,0,1,-1,0,-1,2,-1,-1],
  [-1,-1,1,0,1,2,0,0,1,0,-2,0,2,-1,1,1,0,1,-1,-1,1,0,0,1,2,0,1,-1,1,0],
  [0,2,-3,0,0,-2,-3,3,1,-1,3,0,0,-1,-3,-3,-2,-1,0,-1,0,1,-4,4,-1,1,-2,5,-3,-4]],
 [[-2,0,-1,-1,-1,0,-2,3,1,-1,-1,0,2,0,-1,2,2,0,0,-3,-1,1,-2,4,4,1,3,-1,0,-2],
  [-1,-1,-1,0,0,0,-2,3,0,-1,-1,0,2,-1,-1,1,1,0,-1,-3,-1,1,-3,5,3,0,2,0,-1,-3],
  [-1,0,-1,0,1,0,-3,1,0,0,0,-1,1,-1,1,0,-1,0,-2,-2,1,1,-2,4,1,-2,-2,1,-1,-3],
  [-1,3,-6,0,0,-2,-6,7,0,-3,5,0,2,-2,-6,-2,-2,-1,0,-3,-1,3,-8,10,1,2,-1,7,-5,-7],
  [1,-3,5,-1,-1,2,6,-5,0,3,-5,0,-2,2,5,3,3,1,0,3,0,-3,7,-9,0,-1,3,-8,5,7],
  [0,-2,5,0,1,2,5,-6,1,2,-4,1,-1,2,4,2,2,1,2,3,1,-2,7,-9,0,-1,2,-5,5,7],
  [0,-1,4,1,1,1,4,-5,1,2,-3,1,-1,1,3,0,0,0,1,2,1,-2,4,-7,-1,-1,0,-2,3,4],
  [-1,0,0,0,1,0,-1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0],
  [0,1,0,1,1,0,1,-1,-1,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,0,-1,-1,-2,1,-1,1],
  [0,1,-3,0,-1,-1,-3,4,0,-2,3,-1,1,-2,-3,-1,-1,0,0,-2,-1,1,-4,4,0,2,0,3,-2,-4],
  [0,1,-3,0,0,-1,-4,3,0,0,3,-1,1,-2,-2,-1,-2,0,-2,-2,1,2,-4,5,0,0,-3,3,-3,-4],
  [-1,1,-4,-1,-1,-1,-4,5,1,-2,2,1,2,-1,-4,0,1,-1,0,-4,-1,2,-5,7,3,2,2,3,-2,-5],
  [0,2,-6,-1,-2,-2,-6,7,0,-2,6,-1,1,-2,-6,-1,-1,0,-1,-4,-1,3,-6,8,1,3,0,4,-4,-6],
  [0,-1,4,0,0,2,4,-5,1,2,-2,0,-2,2,3,1,1,1,1,3,1,-2,6,-8,-1,0,1,-4,4,6],
  [-1,4,-9,-1,-1,-4,-9,10,1,-4,8,0,2,-2,-8,-3,-2,-2,0,-5,-1,4,-10,13,1,3,-1,9,-6,-10],
  [1,1,3,2,2,1,4,-5,-2,0,-1,0,-1,1,2,0,-2,0,1,4,1,-1,3,-6,-4,-2,-3,0,1,5],
  [0,-1,0,-1,0,1,0,0,0,0,-1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,-2,1,1],
  [0,-1,1,0,-1,1,1,-1,0,0,-2,0,0,0,1,0,1,0,0,0,-1,-1,0,0,1,0,1,-1,0,0],
  [0,0,1,0,0,0,1,-1,1,0,-1,0,0,0,1,0,0,0,1,1,0,-1,1,-2,0,0,0,0,1,1],
  [0,2,-8,-1,-1,-3,-8,9,-1,-3,6,-1,2,-4,-6,-2,-2,-1,-3,-6,-1,4,-11,14,1,1,-2,7,-7,-11],
  [-1,1,-2,0,0,-1,-3,3,1,-1,2,0,1,-1,-2,-1,-1,-1,0,-2,0,1,-3,4,1,1,0,3,-1,-4],
  [0,1,-3,-1,-1,-2,-2,3,1,-1,2,0,0,-1,-2,-2,0,-1,0,-2,-1,1,-4,4,0,1,0,3,-2,-4],
  [0,-1,5,1,2,2,6,-6,0,1,-4,2,-1,3,3,2,1,0,3,4,1,-2,7,-10,-1,-1,2,-4,5,8],
  [-2,2,-4,0,0,-1,-5,5,1,-3,2,0,3,-2,-4,-1,-1,-1,0,-4,0,2,-6,8,2,1,0,5,-3,-6],
  [0,-2,1,0,0,0,0,0,0,2,-2,0,0,0,2,1,1,0,-2,-1,0,0,0,1,2,-1,0,-2,0,-1],
  [0,0,1,-1,-1,0,2,-1,1,0,-1,1,-1,2,0,1,2,-1,2,1,0,-1,3,-4,0,1,3,-2,3,3],
  [0,4,-9,0,-1,-4,-9,10,-1,-4,9,-2,2,-4,-7,-4,-4,-1,-2,-5,-1,4,-12,14,-1,2,-4,10,-8,-12],
  [0,2,-2,1,1,-1,-2,1,-1,-2,3,0,0,0,-2,-2,-2,-1,1,0,0,1,-2,2,-2,0,-2,4,-2,-2],
  [-2,0,-3,-1,-1,0,-5,5,1,-2,0,0,3,-2,-3,0,1,0,-1,-5,-1,2,-5,9,4,1,2,2,-3,-6],
  [-1,3,-7,0,-1,-3,-8,8,0,-3,6,-1,2,-2,-6,-3,-2,-1,-1,-4,-1,3,-8,12,1,2,-2,7,-6,-9]]]],

[ # Q-class [30][32]
 [[16],
  [-2,16],
  [4,2,16],
  [1,4,2,16],
  [3,3,2,5,16],
  [4,4,0,5,4,16],
  [4,4,1,0,2,4,16],
  [0,2,-3,2,0,2,2,16],
  [5,0,2,-1,-3,4,1,5,16],
  [5,1,4,4,4,5,4,2,3,16],
  [4,2,0,4,2,4,2,4,5,4,16],
  [0,4,5,-1,-4,-5,-4,-2,2,2,2,16],
  [2,0,4,4,4,1,1,1,4,4,0,2,16],
  [0,5,0,0,3,4,-1,0,4,-1,0,4,5,16],
  [4,-2,4,-1,3,3,2,1,4,4,5,-1,4,0,16],
  [2,1,4,5,-4,-1,2,4,1,4,4,4,2,-2,2,16],
  [1,2,1,4,0,4,4,0,-1,4,0,0,-2,2,0,2,16],
  [-1,4,0,5,1,3,-3,0,-4,2,-1,3,0,4,-5,0,4,16],
  [0,1,0,0,-2,4,0,4,2,-2,2,1,-2,3,1,4,4,4,16],
  [5,2,2,3,2,2,-1,0,-4,2,-4,0,2,-2,4,0,4,4,2,16],
  [2,0,4,5,2,4,4,4,1,4,-2,-4,0,-4,2,3,3,-1,-3,3,16],
  [2,2,4,0,0,4,0,3,2,2,4,4,5,4,4,4,2,4,2,3,2,16],
  [0,4,4,4,2,2,-1,3,4,5,4,0,5,4,0,4,0,2,2,-2,0,4,16],
  [4,-1,0,4,-4,4,-2,5,4,5,0,-2,2,-2,4,5,2,4,1,4,4,2,4,16],
  [4,-2,2,3,5,3,-4,4,5,4,2,0,3,4,1,4,-2,0,3,0,2,2,4,1,16],
  [5,3,0,4,4,1,4,-1,-3,2,0,3,0,2,-4,4,4,0,5,4,-1,-2,-2,-5,3,16],
  [2,-1,-2,4,4,4,5,5,3,0,2,-3,3,4,-1,0,1,-1,4,-4,2,-2,-3,-3,1,5,16],
  [-4,4,5,2,0,1,3,5,0,0,-4,-3,4,4,4,2,4,0,2,2,4,4,5,4,0,-4,1,16],
  [4,0,3,5,2,4,0,0,4,5,1,1,4,0,4,2,1,1,2,4,4,2,4,2,2,0,4,0,16],
  [4,-2,5,3,4,4,-5,-4,4,4,2,0,5,2,4,-1,-1,0,1,2,2,2,4,2,4,-1,1,-1,4,16]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [-5,3,2,-1,-8,1,7,1,-5,-8,-6,5,-3,-7,12,-6,5,3,-9,1,-4,2,12,4,11,2,12,-9,-3,2],
  [-2,0,1,0,-1,0,2,1,-1,-2,-1,1,-1,-1,2,-2,1,0,-2,0,-1,1,2,2,2,1,2,-2,0,1],
  [0,0,-1,0,0,1,1,-1,0,-1,-1,2,-1,-1,1,0,0,0,-1,1,0,0,2,0,1,-1,2,0,-1,0],
  [0,0,0,0,-1,0,1,1,-1,-1,0,0,0,0,1,-1,0,1,-1,-1,0,0,0,0,1,1,-1,0,1,1],
  [0,1,0,0,-2,1,1,1,-1,-2,-2,1,0,-2,3,-1,1,1,-2,-1,-1,0,2,0,2,1,1,-1,0,1],
  [-3,1,1,-1,-4,1,4,1,-2,-5,-3,3,-2,-4,6,-3,3,2,-6,1,-3,1,6,2,6,2,6,-4,-1,2],
  [2,0,-1,1,2,-1,-2,-1,2,3,1,-2,1,2,-3,2,-1,-1,3,0,1,0,-3,-2,-3,-2,-3,2,0,-1],
  [-1,0,0,-1,0,1,1,0,0,-2,0,1,0,-2,1,0,1,1,-2,0,-1,0,1,1,1,1,1,0,0,1],
  [0,0,0,0,0,0,0,1,0,0,0,-1,0,1,0,0,0,0,0,-1,0,0,-1,0,-1,1,-2,0,1,1],
  [-2,1,1,-2,-3,1,3,1,-2,-4,-1,2,-1,-3,4,-2,2,2,-5,0,-2,0,4,2,4,2,4,-2,0,2],
  [-6,4,3,-2,-9,1,7,1,-6,-9,-6,5,-3,-8,13,-7,6,3,-10,2,-4,2,14,5,12,2,15,-11,-4,2],
  [1,-2,-1,0,3,1,-1,0,1,1,2,0,1,2,-4,2,-1,-1,2,0,1,-1,-3,-1,-3,-1,-4,3,1,0],
  [-5,3,2,-2,-8,2,6,1,-5,-9,-5,5,-2,-8,12,-6,5,4,-10,1,-4,1,12,4,11,3,12,-8,-3,2],
  [-1,-1,0,-2,-1,2,1,2,0,-3,0,1,0,-2,2,0,1,3,-4,-1,-1,-1,1,0,1,3,0,1,1,2],
  [-2,0,0,-1,-1,1,2,0,0,-2,-1,2,-1,-2,2,-1,1,1,-3,1,-1,0,3,1,2,1,3,-1,-1,1],
  [-4,3,1,-2,-7,2,5,1,-4,-8,-6,5,-3,-8,12,-5,5,4,-10,1,-4,1,12,3,10,3,12,-7,-3,2],
  [0,2,0,1,-3,0,1,0,-2,-1,-3,1,-1,-2,4,-2,1,0,-1,0,-1,1,4,0,3,-1,4,-3,-2,0],
  [-1,1,0,-1,-3,2,2,1,-1,-4,-3,3,-1,-5,6,-2,2,3,-5,0,-2,0,6,0,4,2,5,-2,-2,1],
  [-2,2,1,0,-5,1,3,1,-3,-4,-5,3,-2,-4,8,-3,3,2,-5,1,-2,1,8,1,6,0,8,-6,-3,1],
  [0,1,0,1,0,-1,0,0,0,1,-1,-1,0,1,0,0,0,-1,1,0,0,1,-1,0,0,-1,0,-1,0,0],
  [-4,4,3,0,-8,0,6,2,-6,-6,-6,3,-2,-5,10,-6,5,1,-7,1,-4,2,10,4,10,0,11,-10,-3,2],
  [1,-2,-1,0,4,0,-1,0,2,2,3,-1,1,3,-5,2,-2,-1,3,-1,1,-1,-5,0,-4,0,-6,4,2,0],
  [4,-3,-3,1,7,0,-5,-1,5,6,4,-3,2,5,-9,6,-4,-2,7,-1,3,-2,-9,-4,-9,-2,-10,8,2,-1],
  [-4,2,2,-1,-5,1,5,1,-3,-6,-4,3,-2,-5,8,-4,3,3,-7,1,-3,1,8,3,7,2,8,-6,-2,2],
  [-3,2,1,-1,-5,1,4,0,-3,-5,-4,4,-2,-5,8,-4,3,2,-6,2,-2,1,9,2,7,1,9,-6,-3,1],
  [2,0,-1,1,1,0,-2,-1,1,2,1,-1,1,1,-2,1,-1,-1,2,0,1,0,-2,-2,-2,-1,-2,2,0,-1],
  [-3,1,1,0,-4,1,4,1,-2,-5,-4,3,-2,-4,7,-3,3,2,-6,1,-3,1,7,2,6,1,7,-5,-2,1],
  [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],
  [3,-1,-1,1,3,0,-3,1,1,3,2,-2,2,3,-4,2,-2,-1,4,-3,2,-1,-6,-2,-5,0,-7,4,2,0]],
 [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [2,-1,-2,0,3,1,-2,0,2,1,1,0,1,0,-3,2,-1,0,2,-1,1,-1,-3,-2,-3,0,-4,4,1,0],
  [1,1,0,1,0,-1,-1,-1,0,1,-1,-1,0,0,0,0,0,-1,1,0,0,1,0,0,0,-1,1,-1,-1,-1],
  [2,0,-1,1,2,-1,-2,0,1,3,1,-2,1,2,-3,2,-1,-1,3,-1,1,0,-4,-2,-3,-1,-4,2,1,0],
  [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],
  [4,-1,-2,1,4,-1,-4,0,2,5,3,-3,2,4,-6,3,-3,-2,6,-2,3,-1,-7,-3,-6,-1,-8,5,2,-1],
  [0,1,0,1,-2,0,1,0,-1,-1,-2,1,-1,-2,3,-2,1,0,-1,0,-1,1,3,0,2,0,3,-2,-1,0],
  [0,0,0,0,0,0,0,1,0,0,0,-1,0,1,0,0,0,0,0,-1,0,0,-1,0,-1,1,-2,0,1,1],
  [-6,4,3,-2,-10,1,8,2,-6,-10,-7,5,-4,-8,14,-7,6,4,-12,2,-5,2,14,5,13,3,15,-11,-3,3],
  [5,-2,-2,2,6,-2,-6,-1,3,8,5,-5,3,7,-10,4,-4,-4,9,-2,4,-1,-11,-3,-9,-2,-11,7,3,-2],
  [-5,2,2,-2,-7,2,7,2,-5,-9,-5,5,-3,-7,11,-5,5,4,-10,1,-4,1,11,4,10,3,11,-8,-2,3],
  [0,-1,-1,-1,1,1,0,-1,1,-1,1,1,0,-1,-1,1,0,1,-1,1,0,-1,0,0,0,0,0,2,0,0],
  [-2,4,2,1,-7,-1,4,1,-5,-4,-6,2,-2,-4,9,-5,4,1,-5,1,-3,2,9,2,8,-1,10,-9,-3,1],
  [0,-1,-1,-1,1,1,0,0,1,-1,0,1,0,-1,0,1,0,1,-1,1,0,-1,1,-1,0,0,0,1,0,0],
  [-3,2,2,1,-5,0,5,1,-4,-4,-5,3,-3,-3,7,-4,3,0,-5,2,-3,2,8,3,7,-1,9,-8,-3,1],
  [1,0,0,1,0,0,-1,0,0,1,0,-1,0,1,-1,1,0,-1,1,0,0,0,-1,-1,-1,-1,-1,0,0,0],
  [2,-2,-2,0,4,0,-3,-1,3,3,3,-1,1,2,-5,3,-2,-1,3,0,2,-1,-4,-2,-5,0,-5,5,1,-1],
  [7,-5,-4,1,11,-1,-9,-1,7,10,9,-6,5,9,-16,8,-7,-3,12,-3,6,-3,-17,-6,-15,-1,-19,14,5,-2],
  [3,-3,-2,0,6,0,-4,-1,4,5,5,-3,2,5,-9,5,-4,-2,6,0,3,-2,-8,-3,-8,-1,-9,7,2,-1],
  [8,-4,-4,3,11,-2,-9,-2,7,12,7,-6,4,10,-16,8,-7,-5,14,-2,6,-2,-16,-6,-15,-4,-17,12,3,-3],
  [-1,3,1,1,-4,-1,1,0,-2,-1,-3,0,-1,-2,5,-3,2,0,-2,0,-1,2,4,1,4,0,5,-5,-2,0],
  [1,1,0,1,-2,0,0,1,-1,-1,-2,0,0,-1,3,-1,1,1,-1,-1,0,0,2,-1,1,0,1,-2,-1,0],
  [1,1,0,0,-1,0,-1,1,-1,0,-1,-1,1,0,1,0,1,0,0,-1,0,0,0,-1,0,0,0,-1,0,0],
  [2,0,0,1,1,-1,-2,1,0,3,1,-2,1,3,-3,1,-1,-2,3,-1,1,0,-4,-1,-3,-1,-4,1,1,0],
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  [7,-5,-4,1,12,-1,-9,-3,8,11,9,-6,4,9,-17,9,-7,-4,13,-1,6,-3,-16,-6,-15,-3,-17,14,4,-3],
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[ # Q-class [30][33]
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];

MakeImmutable( IMFList[30].matrices );