imf28.grp

#############################################################################
##
##  This file is part of GAP, a system for computational discrete algebra.
##  This file's authors include Volkmar Felsch.
##
##  Copyright of GAP belongs to its developers, whose names are too numerous
##  to list here. Please refer to the COPYRIGHT file for details.
##
##  SPDX-License-Identifier: GPL-2.0-or-later
##
##  This file contains,  for each  Q-class representative  of the irreducible
##  maximal finite integral matrix groups of dimension 28,
##
##  [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 28.
##
IMFList[28].matrices := [

[ # Q-class [28][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]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],

[ # Q-class [28][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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
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[ # Q-class [28][03]
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[ # Q-class [28][04]
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[ # Q-class [28][05]
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[ # Q-class [28][07]
 [[4],
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[ # Q-class [28][08]
 [[4],
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[ # Q-class [28][09]
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,1,1,-1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,-1,-1,-1,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-1,1,1,-2,0,-1,-1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,1,1,2,-2,1,2,-2,0,-1,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,1,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,-1,0,1,0,0,1,-1,1,0,-1,0]]]],

[ # Q-class [28][10]
 [[3],
  [-1,3],
  [1,1,3],
  [1,0,1,3],
  [0,1,0,-1,3],
  [0,1,0,-1,1,3],
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  [0,-1,0,0,0,0,-1,3],
  [0,1,0,0,0,0,1,-1,3],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,0,1,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,1,0,0,-1,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,1,0,-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,-1,-1,1,1,0,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,-1,1,0,0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,-1,1,0,0,1,0,-1,1,0,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,-1,0,0,1,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[-1,-2,0,1,1,1,-1,-1,1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [1,1,0,-1,0,-1,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,-1,-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,-1,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,1,-1,-1,0,1,1,0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,1,-1,0,0,1,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,1,0,-1,-1,0,1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,-1,1,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-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,-1,-1,1,1,0,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,1,-1,1,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,1,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,0,1,0,0,1,-1,1,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,1,0,0,0,1,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,0,-1,1,0,1,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,0,1,0,-1,0]],
 [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,1,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,1,0,-1,0,-1,1,1,-1,0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,-1,0,1,0,1,0,-1,0,0,1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,-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],
  [-1,-2,1,1,1,1,0,-1,1,0,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,0,0,1,0,0,-1,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,-1,0,0,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,-1,1,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-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,-1,-1,1,1,0,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,1,-1,1,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,1,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,0,1,0,0,1,-1,1,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,1,0,0,0,1,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,0,-1,1,0,1,-1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,0,1,0,-1,0]]]],

[ # Q-class [28][11]
 [[7],
  [2,7],
  [-1,1,7],
  [1,-1,3,7],
  [3,3,-1,-1,7],
  [1,3,1,1,1,7],
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  [1,1,2,1,1,2,1,7],
  [1,1,-3,-1,0,3,-1,0,7],
  [3,-2,1,1,-1,-1,2,1,1,7],
  [2,0,1,3,-2,-1,1,-1,-1,3,7],
  [1,-1,-2,2,1,1,-1,-2,2,1,1,7],
  [0,3,2,1,2,3,-1,3,-1,-1,1,0,7],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,-1,-2,1,-1,0,1,1,2,2,1,1,7]],
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[ # Q-class [28][12]
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [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,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,-1,0,0,0,1,1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,0,0,-1,1,1,-1,0,-1,0,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,1,-1,0,0,1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,0,1,0,1,-1,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,-1,-1,0,1,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,-1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,1,0,-1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,1,0,-1,1,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-2,-1,0,1,-1,-2,1,0,1,-1,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,1,0,0,0,0,0,0]]]],

[ # Q-class [28][13]
 [[6],
  [-1,6],
  [-3,-2,6],
  [-1,3,-2,6],
  [2,-3,1,0,6],
  [-2,2,2,-1,-1,6],
  [3,0,-3,1,2,0,6],
  [3,1,-1,1,2,1,1,6],
  [-3,3,0,2,-2,3,0,0,6],
  [-2,3,0,3,0,0,-1,1,3,6],
  [-1,-1,0,-2,-2,0,-1,-2,1,0,6],
  [2,1,0,1,0,-1,0,2,-1,0,0,6],
  [2,2,-1,-1,-2,2,0,2,1,-1,1,3,6],
  [3,-2,0,-1,1,-3,1,0,-3,-2,1,3,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-2,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,3,-2,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-3,1,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,2,-1,-1,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,-3,1,2,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,-1,1,2,1,1,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,3,0,2,-2,3,0,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,3,0,3,0,0,-1,1,3,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,-2,-2,0,-1,-2,1,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,-1,0,2,-1,0,0,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,-1,-1,-2,2,0,2,1,-1,1,3,6],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,-2,0,-1,1,-3,1,0,-3,-2,1,3,0,6]],
 [[[-2,-1,-2,-1,0,0,0,0,0,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,-1,-1,1,0,2,-1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,1,2,0,-1,-1,1,1,0,-1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,-1,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-2,0,0,-1,0,-1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,-1,0,1,-1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-2,-2,-2,0,0,1,0,0,0,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-2,-1,-2,-1,0,1,0,0,-1,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [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,-1,-1,0,0,0,0,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,0,-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,-1,-1,0,0,0,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,0,0,1,0,0,-1,1,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,-1,1,-1,0,0,0,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,-1,0,0,1,-1,1,0,-1,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,1,0,0,-1,1,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-1,0,0,0,0,0,0,0,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,-1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,-1,-1,1,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,0,0,2,-1,-1,0,1,0,1,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,-1,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,1,0,0,0,0,0,1,-1,0]],
 [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-2,-1,0,1,0,0,-1,1,-1,0,1,1],
  [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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,-1,0,0,1,-1,1,0,-1,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-2,0,0,1,0,0,-1,1,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,0,0,0,-1,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1,0,0,0,-1,1,-1,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,-1,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-1,0,-1,1,1,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-1,-1,0,0,0,0,0,1,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,-1,0,0,0,1,0,0,0,0,0,0],
  [-2,-2,-2,0,0,1,0,0,-1,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,2,0,-1,1,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [2,1,2,1,0,-1,0,0,1,-1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,-1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,-1,-1,0,0,1,0,0,-1,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-2,-1,-1,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,1,0,0,1,0,-1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,-1,-1,0,0,2,-1,-1,0,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,-1,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,-1,-1,0,0,1,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,0,0,0,1,-1,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,-1,0,0,0,-1,1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2,-1,0,-1,1,0,0,0,1,-1,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,-1,0,0,0,-1,1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,0,0,0,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,-1,0,0,1,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,-1,1,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,-1,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]],

[ # Q-class [28][14]
 [[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],
  [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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1],
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[ # Q-class [28][15]
 [[6],
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  [1,3,3,6],
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  [0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,1,0,0,-1,0,1,-1,0,0,0,0,0,0],
  [0,0,1,0,-1,0,1,0,0,0,0,0,1,0,-1,1,-1,1,0,-1,0,-1,0,0,-1,1,0,0],
  [-2,-1,2,-1,-1,2,1,0,-1,2,0,-1,1,-1,1,1,0,-1,-2,1,0,-1,1,-1,1,0,0,0],
  [0,1,0,0,-1,-1,1,1,1,-2,0,0,0,1,-1,-1,-1,2,1,-1,-1,0,-1,1,0,0,0,1],
  [0,0,1,0,-2,-1,1,2,1,-2,1,1,-1,0,-1,0,-1,3,2,-2,-1,0,-1,1,-2,0,1,0],
  [0,0,0,0,0,-1,1,0,0,-1,0,0,1,0,0,1,0,1,0,-1,-1,0,0,0,-1,0,0,1],
  [0,0,0,0,-1,0,0,1,0,-1,1,1,-2,0,0,0,0,2,1,-1,0,0,-1,1,-1,-1,1,0],
  [-1,1,0,0,0,-1,0,1,0,0,0,0,0,0,0,1,0,1,0,-1,0,-1,0,1,-1,0,0,0],
  [-1,1,1,-1,-1,0,1,1,0,-1,0,0,0,0,0,0,-1,1,0,0,0,0,-1,0,0,0,0,1],
  [2,1,-1,1,-1,-1,0,1,2,-3,-1,0,-1,2,-2,-3,-1,2,2,-1,-1,1,-1,1,1,0,-1,1],
  [-2,-1,1,-1,-1,1,1,1,0,0,1,1,-1,-1,1,1,0,1,0,0,0,0,0,0,-1,-1,1,0],
  [1,0,0,1,-2,-1,1,1,1,-2,0,0,-1,1,-1,-1,-1,2,2,-1,-1,0,-1,1,0,0,0,0],
  [0,0,0,0,-1,-1,1,1,1,-1,0,1,0,1,-1,0,0,2,1,-2,-1,-1,-1,1,-1,0,1,0],
  [0,0,0,0,-1,0,0,1,1,-1,0,0,-1,0,0,-1,0,1,1,0,0,1,0,0,0,-1,0,0],
  [-1,-1,0,0,-1,0,1,1,0,0,1,1,-1,0,1,1,0,1,0,-1,0,-1,0,1,-1,-1,1,0],
  [-1,-1,1,0,-1,1,1,0,-1,1,0,0,0,0,1,1,0,0,-1,0,0,-1,0,0,0,-1,1,0],
  [-1,0,1,0,-1,-1,1,1,0,0,0,0,1,0,0,1,0,1,0,-1,-1,-1,0,0,-1,0,0,1],
  [-2,-1,1,0,-1,0,1,1,0,0,1,0,-1,-1,1,1,0,1,0,0,0,0,0,0,-1,-1,1,0],
  [1,0,-1,1,0,0,-1,0,0,0,0,-1,-1,0,0,-1,0,0,0,1,1,0,0,0,1,0,-1,0]]]],

[ # Q-class [28][16]
 [[6],
  [3,6],
  [2,3,6],
  [2,3,2,6],
  [2,3,2,2,6],
  [2,1,2,2,2,6],
  [0,3,2,2,2,2,6],
  [1,2,3,3,1,3,3,6],
  [2,3,2,2,2,2,2,3,6],
  [2,3,2,2,2,2,2,3,2,6],
  [1,1,1,1,3,3,1,1,1,1,6],
  [3,3,1,3,1,1,1,1,1,1,0,6],
  [2,3,2,2,2,2,2,3,2,2,1,3,6],
  [0,1,0,0,2,0,2,1,2,0,1,1,2,6],
  [1,2,1,1,3,1,1,0,1,1,1,1,1,1,6],
  [1,2,1,1,3,3,1,2,1,1,3,1,1,1,2,6],
  [2,1,2,2,2,2,-2,1,2,2,3,1,2,0,1,1,6],
  [3,2,1,3,1,1,1,2,1,1,1,3,3,1,-2,0,1,6],
  [2,1,0,2,2,0,0,1,2,0,1,1,2,2,3,1,2,1,6],
  [3,1,1,1,3,3,1,1,1,1,2,2,1,1,1,3,1,1,1,6],
  [1,1,3,1,1,1,1,1,1,-1,2,2,1,1,1,1,1,1,1,2,6],
  [1,2,1,1,1,1,3,2,1,1,1,1,3,1,0,0,-1,2,1,1,1,6],
  [1,2,3,1,1,1,1,2,1,1,1,1,1,1,2,2,1,0,1,1,3,2,6],
  [2,3,2,2,2,0,2,1,2,0,1,3,2,2,1,1,0,3,2,1,3,3,3,6],
  [2,1,2,0,0,2,0,1,2,0,1,1,2,2,1,1,2,1,2,1,3,1,3,2,6],
  [2,1,0,0,2,2,2,1,2,2,1,1,2,2,1,1,0,1,2,3,1,3,1,2,2,6],
  [0,1,2,0,2,0,2,1,0,0,1,1,2,2,1,1,0,1,2,1,3,1,1,2,2,2,6],
  [2,1,2,0,2,0,0,1,0,2,1,1,2,2,1,1,2,1,2,1,1,1,3,2,2,2,2,6]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
  [-1,1,1,-1,1,1,-1,0,-1,1,1,1,0,0,-1,-1,-2,0,2,0,0,-1,0,0,0,0,-1,0],
  [0,0,0,1,0,0,-1,-1,1,0,1,0,1,0,0,0,-2,0,0,0,0,0,0,-1,0,0,0,1],
  [1,-1,-1,0,-1,0,1,-1,1,0,-1,-1,0,0,1,1,1,1,-1,0,0,1,0,0,-1,-1,1,1],
  [-1,-1,2,0,1,-1,-1,-1,1,1,3,2,1,-1,-1,-1,-4,0,2,0,-1,-1,1,-1,1,0,-1,0],
  [0,-1,0,1,-1,1,-1,-2,2,1,1,0,1,0,0,0,-2,0,0,0,0,0,0,0,-1,-1,1,1],
  [-3,0,3,1,2,0,-4,-1,1,2,5,3,2,-1,-2,-3,-8,-1,3,1,-2,-2,1,-1,2,0,-1,0],
  [-3,1,2,0,1,0,-3,0,1,1,3,2,1,-1,-1,-2,-5,0,2,1,-1,-1,0,-1,1,0,-1,1],
  [-1,-1,1,0,2,-1,-1,0,0,1,2,2,1,-1,-1,-1,-3,-1,1,0,-1,-1,0,0,2,0,-1,0],
  [1,-1,0,0,0,-1,1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0],
  [0,-1,1,1,0,0,-1,-1,1,0,1,0,1,0,0,0,-2,0,0,0,0,0,0,-1,0,0,0,1],
  [-3,0,3,1,1,0,-3,-1,1,1,4,2,1,-1,-1,-2,-6,0,2,1,-2,-1,0,-1,2,0,-1,1],
  [-1,0,1,1,-1,1,-3,-1,2,1,2,0,1,0,0,-1,-4,0,0,1,-1,0,0,0,0,-1,1,1],
  [1,-1,0,0,-1,0,1,-1,0,0,-1,-1,1,0,0,1,1,0,0,0,0,0,0,1,-1,0,0,0],
  [1,-1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-2,1,2,-1,2,-1,-1,1,-1,0,2,2,0,-1,-1,-1,-3,0,2,0,-1,-1,0,-1,2,1,-2,0],
  [-1,0,1,1,1,0,-2,0,1,0,2,1,0,0,0,-1,-3,0,0,0,-1,0,0,-1,1,0,0,1],
  [-1,0,1,1,-1,0,-1,-1,1,0,1,0,1,0,0,0,-2,0,0,1,-1,0,0,0,0,0,0,1],
  [1,-1,-1,0,-1,0,1,-1,1,0,-1,-1,0,0,1,1,1,1,-1,0,1,1,0,0,-1,-1,1,1],
  [-1,1,1,-1,1,1,-1,1,-1,0,1,1,0,0,-1,-1,-2,0,2,0,0,-1,0,0,0,0,-1,0],
  [-1,-1,1,2,-1,0,-2,-2,2,1,2,0,1,0,0,0,-3,0,0,1,-1,0,0,0,0,-1,1,1],
  [-3,1,3,-1,3,0,-3,1,-1,1,4,3,1,-1,-3,-3,-6,-1,4,1,-2,-3,1,0,2,1,-2,-1],
  [-1,0,1,1,0,0,-2,0,1,0,2,0,1,0,0,-1,-3,0,0,1,-1,-1,0,0,0,0,0,1],
  [-3,2,3,-1,2,0,-3,2,-1,0,4,3,0,-1,-2,-3,-5,-1,3,1,-2,-2,0,0,2,1,-2,0],
  [-1,-2,1,1,0,-1,-1,-1,2,1,2,1,1,-1,0,0,-3,0,0,1,-1,0,0,0,1,-1,0,1],
  [0,-1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0],
  [-2,0,2,0,2,0,-2,0,0,1,3,2,1,-1,-2,-2,-5,-1,2,1,-2,-2,1,0,2,0,-1,0]],
 [[-4,0,4,-1,3,-1,-3,1,0,1,5,4,1,-2,-2,-3,-7,0,4,1,-3,-3,1,-1,3,1,-2,-1],
  [-3,-1,4,0,3,-2,-3,0,1,1,6,4,2,-2,-2,-3,-8,0,3,1,-3,-3,2,-2,3,1,-2,-1],
  [-2,-1,3,1,1,-1,-2,-1,1,1,4,2,2,-1,-1,-2,-6,0,2,1,-2,-2,1,-1,2,0,-1,0],
  [1,-1,1,0,0,-1,0,0,0,0,1,0,1,0,0,0,-1,0,0,0,-1,-1,1,0,0,0,0,-1],
  [-4,2,3,-1,2,0,-3,1,0,0,4,3,0,-1,-1,-3,-6,1,3,1,-2,-2,1,-2,2,1,-2,0],
  [-1,1,1,-1,1,1,-1,1,-1,0,1,1,0,0,-1,-1,-2,0,2,0,0,-1,0,0,0,0,-1,0],
  [-1,0,2,0,3,-1,-1,1,-1,0,3,2,1,-1,-2,-2,-4,-1,2,0,-1,-2,1,-1,2,1,-2,-1],
  [1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
  [-2,0,2,0,1,0,-2,0,1,0,3,2,0,-1,0,-2,-4,1,1,1,-2,-1,1,-1,1,0,0,0],
  [-1,0,1,-1,2,0,-1,1,0,0,2,2,0,-1,-1,-2,-3,0,2,0,-1,-1,1,-1,1,0,-1,0],
  [-2,2,1,-1,1,1,-2,1,-1,0,2,1,0,0,-1,-2,-3,0,2,1,-1,-1,0,0,1,0,-1,0],
  [-1,-1,2,0,2,-2,-1,1,0,0,3,2,1,-1,-1,-1,-3,0,1,0,-2,-2,1,-1,2,1,-1,-1],
  [-1,0,1,0,2,-1,-1,1,0,0,2,2,0,-1,-1,-1,-3,0,1,0,-1,-1,0,-1,2,0,-1,0],
  [-1,0,1,1,1,0,-2,0,1,0,2,1,0,0,0,-1,-3,0,0,0,-1,0,0,-1,1,0,0,0],
  [0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,1,0,0,1,-1,0,0,0,0,-1,0,1,0,0],
  [-1,0,1,-1,0,0,0,0,0,0,1,1,0,0,0,0,-1,1,1,0,0,0,0,-1,0,0,-1,0],
  [-1,1,0,0,-1,1,-2,0,1,0,1,0,0,0,1,-1,-2,1,0,1,-1,0,0,0,0,-1,1,1],
  [-1,-1,2,0,2,-1,-1,0,0,1,3,2,1,-1,-2,-1,-4,-1,2,0,-2,-2,1,0,2,0,-1,-1],
  [1,0,-1,0,-1,-1,1,1,0,-1,-1,-1,-1,0,2,1,2,1,-2,0,0,1,-1,0,0,0,1,0],
  [-4,2,3,-1,2,0,-3,2,-1,0,4,3,0,-1,-1,-3,-5,0,3,1,-2,-2,0,-1,2,1,-2,0],
  [-1,0,1,1,0,-1,-1,0,0,0,2,0,1,0,0,-1,-2,0,0,1,-1,-1,0,0,1,0,0,0],
  [-1,1,1,-1,3,-1,0,2,-2,0,2,2,0,-1,-2,-2,-2,-1,2,0,-1,-2,0,0,2,1,-2,-1],
  [0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,0],
  [-1,-1,2,0,2,-2,0,0,0,0,3,2,1,-1,-1,-1,-3,0,1,0,-2,-2,1,-1,2,1,-1,-1],
  [0,-1,0,1,0,0,-1,-1,1,1,1,0,1,0,0,0,-2,0,0,0,0,0,0,0,0,-1,1,0],
  [-2,2,1,-1,2,0,-1,2,-1,-1,2,2,-1,-1,-1,-2,-2,0,2,0,-1,-1,0,-1,1,1,-1,0],
  [0,0,0,1,0,-1,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,-1,1,0,0,0],
  [-2,1,1,-1,2,0,-1,1,0,0,2,2,0,-1,-1,-2,-3,0,2,0,-1,-1,0,-1,2,0,-1,0]]]],

[ # Q-class [28][17]
 [[6],
  [2,6],
  [2,2,6],
  [2,2,2,6],
  [2,2,2,2,6],
  [2,2,2,2,2,6],
  [2,2,0,2,0,2,6],
  [2,2,2,2,2,2,2,6],
  [2,2,2,2,2,0,0,2,6],
  [2,2,2,0,2,2,0,2,0,6],
  [2,2,2,2,2,2,0,2,2,0,6],
  [2,2,2,0,0,2,0,2,2,2,2,6],
  [3,1,3,1,1,1,1,1,1,3,1,1,6],
  [2,0,2,2,2,0,0,2,2,2,0,0,3,6],
  [2,2,2,2,2,2,2,2,2,2,0,2,1,2,6],
  [2,2,0,2,2,2,2,2,0,2,0,0,1,2,2,6],
  [2,2,2,2,0,2,2,2,0,2,2,2,3,2,2,2,6],
  [2,2,2,2,2,2,0,2,0,2,2,0,1,2,0,2,2,6],
  [2,2,2,2,0,2,2,2,0,2,2,2,1,0,2,2,2,2,6],
  [2,0,2,2,2,0,0,2,2,0,2,0,1,2,0,2,0,2,2,6],
  [2,0,2,2,0,2,0,2,0,2,2,2,1,2,0,0,2,2,2,2,6],
  [2,2,2,2,2,2,0,2,2,2,2,2,1,0,0,0,0,2,2,2,2,6],
  [0,0,2,2,2,2,0,2,0,2,2,0,1,2,2,2,2,2,2,2,2,0,6],
  [2,2,2,0,2,0,0,2,2,2,2,2,1,2,2,2,2,2,2,2,0,0,2,6],
  [2,2,2,2,0,0,0,0,2,2,0,2,1,2,2,0,2,2,2,0,2,2,0,2,6],
  [2,2,2,2,2,2,0,2,2,2,2,2,1,2,2,0,2,2,0,0,2,0,2,2,2,6],
  [2,0,2,0,2,2,0,2,0,2,2,2,1,2,2,2,2,2,2,2,2,0,2,2,0,2,6],
  [0,0,2,2,0,0,0,2,2,0,2,2,1,2,2,0,2,0,2,2,2,0,2,2,2,2,2,6]],
 [[[-22,-1,-10,3,2,-2,-5,10,2,-26,-5,-7,34,-20,12,9,-11,-2,0,-7,23,5,-4,17,10,6,12,-16],
  [4,-1,3,-2,0,-2,1,-4,2,3,-1,0,-6,2,-1,1,3,2,2,-2,-1,2,0,-2,-6,1,-3,4],
  [-1,0,0,0,0,-1,0,0,1,-2,-1,-1,2,-2,1,1,0,0,0,-1,2,1,0,1,0,1,1,-1],
  [-9,0,-4,1,0,-1,-2,4,1,-11,-2,-3,14,-8,5,4,-5,-1,0,-3,9,3,-1,7,4,3,5,-7],
  [-4,0,-2,1,0,0,-1,2,1,-4,-1,-2,6,-4,2,1,-2,-1,0,-1,4,1,-1,3,2,1,3,-3],
  [-9,0,-4,2,0,-1,-2,4,1,-10,-2,-3,14,-8,5,3,-5,-1,0,-3,9,2,-1,7,4,2,6,-7],
  [-16,-1,-7,2,1,-1,-4,7,1,-19,-3,-5,24,-13,9,7,-8,-2,1,-5,16,4,-3,12,7,5,8,-12],
  [-15,-1,-6,1,1,-2,-3,6,1,-18,-3,-5,22,-12,8,7,-7,-2,1,-5,15,5,-3,11,6,6,8,-11],
  [-2,-1,0,-1,1,-1,0,0,1,-2,0,-1,2,-2,1,2,0,0,1,-1,2,1,-1,1,0,2,0,-1],
  [-1,0,0,-1,1,-2,0,-1,2,-3,-2,-1,2,-2,1,2,0,1,1,-3,4,2,0,1,-2,1,1,0],
  [-3,-1,0,0,0,-1,0,1,0,-3,0,-1,4,-3,2,2,-2,0,0,-1,3,1,-1,2,1,2,1,-2],
  [-7,-1,-2,0,1,-2,-1,2,1,-8,-1,-2,10,-6,4,4,-3,0,1,-3,8,2,-2,5,2,3,3,-5],
  [-4,0,-2,1,1,-1,-1,2,1,-6,-2,-1,7,-5,2,2,-2,0,0,-2,5,1,0,3,2,1,3,-3],
  [-7,0,-3,1,1,-1,-1,3,1,-8,-2,-2,10,-6,3,3,-3,-1,0,-2,7,2,-1,5,3,2,4,-5],
  [-10,-1,-4,1,1,-1,-2,4,2,-11,-2,-3,14,-8,5,4,-4,-1,1,-3,10,2,-2,7,4,3,5,-8],
  [-8,0,-4,1,0,0,-2,4,1,-9,-2,-3,12,-7,4,3,-4,-1,0,-2,8,2,-1,6,4,2,5,-6],
  [-7,-1,-2,0,1,-2,-1,2,1,-9,-2,-2,10,-6,4,4,-3,0,1,-3,8,3,-1,5,2,3,3,-5],
  [-3,1,-2,1,0,-1,-1,1,1,-5,-3,-2,6,-4,2,1,-2,0,0,-2,5,2,0,4,0,1,3,-2],
  [-9,0,-4,1,0,-1,-2,4,1,-11,-2,-3,14,-8,5,4,-5,-1,0,-3,10,2,-1,7,4,3,5,-7],
  [-9,1,-5,2,0,1,-2,5,0,-10,-2,-3,14,-8,4,2,-5,-2,-1,-1,8,1,-1,7,6,2,6,-7],
  [-13,0,-5,1,1,-2,-2,5,1,-16,-3,-4,20,-11,7,6,-7,-1,0,-5,14,4,-2,10,5,4,7,-9],
  [-3,1,-2,1,0,-1,-1,1,1,-5,-2,-2,6,-4,2,1,-2,0,0,-3,5,2,0,4,0,1,3,-2],
  [-3,0,-1,0,0,0,0,2,0,-3,0,-1,4,-2,1,1,-2,-1,0,0,2,0,0,1,3,1,2,-3],
  [-2,-1,0,-1,1,-1,0,0,1,-2,-1,-1,2,-2,1,2,0,0,1,-1,3,1,-1,1,0,2,0,-1],
  [-1,0,0,-1,1,-2,0,-1,2,-3,-2,-1,2,-2,1,2,0,1,1,-3,4,2,0,2,-2,1,0,0],
  [-3,-1,0,-1,1,-2,0,0,1,-4,-1,-1,4,-3,2,3,-1,0,1,-2,4,2,-1,2,0,2,1,-2],
  [-10,0,-4,2,0,0,-2,5,0,-10,-1,-3,14,-8,5,3,-5,-2,-1,-1,9,1,-2,7,6,2,6,-8],
  [-2,0,0,0,0,0,0,1,0,-2,0,0,2,-1,0,1,-1,-1,0,0,1,0,0,1,2,1,1,-2]],
 [[-7,0,-4,1,1,1,-2,5,0,-8,-1,-2,11,-6,3,2,-4,-2,0,-1,6,0,-1,5,6,1,4,-6],
  [0,-1,1,-1,0,0,0,0,0,1,1,0,-1,1,0,1,0,0,1,0,-1,0,-1,-1,0,1,-1,0],
  [0,-1,1,-2,1,-1,0,-1,1,0,0,0,-1,0,1,2,1,1,1,-1,1,1,-1,-1,-2,1,-2,1],
  [1,-1,1,-1,0,0,0,0,0,1,1,0,-1,0,0,1,0,0,0,0,-1,0,0,-1,0,0,-1,1],
  [-10,-1,-4,0,1,-1,-2,4,1,-12,-2,-3,15,-8,6,5,-5,-1,1,-3,10,3,-2,7,4,4,4,-7],
  [-7,-1,-3,0,1,-1,-2,3,1,-9,-2,-3,11,-6,4,4,-3,-1,1,-3,8,3,-2,6,2,3,3,-5],
  [-2,0,-1,1,0,1,-1,2,0,-2,-1,-1,3,-2,0,0,-1,-1,0,0,1,0,0,2,2,0,2,-2],
  [-2,0,-1,0,0,1,-1,2,0,-2,0,-1,3,-1,1,0,-1,-1,0,0,1,0,0,1,2,0,1,-2],
  [-9,-1,-4,1,1,0,-2,5,0,-9,0,-2,13,-7,5,3,-5,-1,0,-1,7,0,-2,5,6,2,4,-7],
  [1,0,0,-1,0,0,0,-1,1,0,-1,0,-1,1,0,0,1,1,1,-1,0,1,0,0,-2,0,-1,1],
  [4,-1,3,-2,0,0,1,-2,0,5,2,1,-7,4,-2,0,2,0,1,1,-4,-1,0,-4,-2,0,-4,3],
  [-9,-1,-4,0,1,-1,-2,4,1,-10,-1,-3,13,-7,5,4,-4,-1,1,-3,9,2,-2,6,4,3,4,-7],
  [1,0,0,0,0,1,0,0,0,2,0,1,-2,1,-1,-1,1,0,0,1,-2,-1,0,-1,0,-1,-1,1],
  [-7,0,-4,1,0,1,-2,4,0,-8,-1,-2,11,-6,4,2,-4,-1,-1,-1,6,1,-1,5,5,1,4,-5],
  [-5,-1,-2,-1,1,-1,-1,2,1,-6,-1,-2,7,-4,3,3,-2,0,1,-2,5,2,-1,3,2,2,2,-3],
  [-6,0,-3,0,0,1,-2,4,-1,-7,0,-2,9,-4,3,2,-3,-2,0,0,4,1,-1,4,5,2,3,-5],
  [11,0,5,-2,-1,1,2,-5,0,13,2,3,-17,9,-6,-4,6,1,0,3,-11,-2,2,-8,-5,-3,-6,8],
  [1,0,1,-1,0,0,0,-1,0,0,0,0,-1,1,0,1,0,0,0,-1,0,1,0,0,-1,0,-1,1],
  [6,0,3,-2,0,0,1,-3,0,6,1,1,-9,5,-3,-1,3,1,1,0,-5,0,1,-4,-4,-1,-4,5],
  [-7,0,-3,0,1,0,-2,4,0,-9,-1,-2,11,-6,4,3,-4,-1,0,-2,7,1,-1,5,4,2,3,-5],
  [-1,0,-1,0,0,0,-1,1,1,-3,-1,-1,3,-2,1,1,-1,0,0,-2,3,1,0,2,0,0,1,-1],
  [-6,-1,-2,0,1,-1,-1,2,1,-7,-1,-2,9,-5,4,3,-3,0,1,-3,7,2,-2,5,1,2,2,-4],
  [6,0,3,-2,-1,0,1,-3,0,6,1,1,-9,5,-2,-1,3,1,0,1,-5,0,1,-4,-4,-1,-4,5],
  [0,0,0,-1,0,1,0,0,0,1,1,0,-1,1,0,0,0,0,0,1,-1,-1,0,-1,1,0,-1,0],
  [1,0,0,0,0,0,0,-1,1,1,0,0,-1,0,0,0,0,1,0,-1,0,0,0,0,-1,-1,0,1],
  [-1,0,-1,0,0,0,-1,1,1,-2,-1,-1,3,-2,1,1,-1,0,0,-1,2,0,0,1,1,0,1,-1],
  [-7,0,-3,-1,1,-1,-2,3,1,-10,-2,-3,11,-6,4,4,-3,-1,1,-3,8,3,-1,5,3,3,3,-5],
  [-2,0,-1,0,0,0,-1,1,1,-2,0,-1,3,-2,1,1,-1,0,0,-1,2,0,0,1,1,0,1,-1]]]],

[ # Q-class [28][18]
 [[6],
  [3,6],
  [3,2,6],
  [3,2,2,6],
  [2,3,3,1,6],
  [2,3,3,3,2,6],
  [1,1,3,1,3,1,6],
  [3,3,1,3,1,3,-2,6],
  [3,1,1,3,1,1,2,2,6],
  [3,3,1,1,1,1,0,2,2,6],
  [3,2,2,2,1,1,1,1,1,3,6],
  [1,1,1,1,1,1,0,2,0,2,3,6],
  [0,1,1,1,2,2,1,1,-1,1,1,3,6],
  [2,1,3,1,2,2,1,1,1,3,3,3,2,6],
  [1,3,1,1,1,1,0,2,0,2,1,0,1,1,6],
  [1,3,1,1,1,1,0,2,0,2,3,2,1,1,2,6],
  [1,1,3,1,1,1,2,0,0,0,1,2,1,1,2,0,6],
  [2,3,1,1,0,2,-1,3,1,3,1,1,0,2,3,3,1,6],
  [1,2,2,2,1,3,3,1,1,1,2,1,1,1,1,1,1,1,6],
  [1,3,1,1,1,1,2,0,0,2,3,2,1,1,2,2,2,1,3,6],
  [2,3,1,1,2,2,-1,3,-1,1,1,1,2,0,1,1,1,2,1,1,6],
  [1,0,2,2,1,1,1,1,1,1,2,3,3,3,1,1,3,1,0,1,1,6],
  [1,2,2,2,3,3,3,1,1,1,0,1,3,1,1,1,1,1,2,1,1,2,6],
  [1,2,2,0,1,1,1,1,-1,1,2,3,3,1,1,1,3,1,2,3,3,2,2,6],
  [3,2,2,2,1,3,1,1,1,3,2,1,1,3,1,1,1,3,2,1,1,2,2,0,6],
  [2,1,1,1,2,0,1,1,1,1,3,3,2,2,-1,1,1,0,1,1,2,3,1,3,1,6],
  [1,1,1,1,1,1,0,2,0,0,1,2,1,1,0,0,2,1,1,2,3,3,1,3,1,3,6],
  [1,2,2,2,3,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,2,2,0,2,1,1,6]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [2,-2,-4,1,1,3,2,0,-2,2,-1,-1,-2,1,0,2,0,-1,0,-2,-1,1,-2,4,-1,-1,0,2],
  [-2,1,2,-1,0,-2,-1,2,1,-1,2,0,1,-1,-1,-2,0,1,0,1,0,0,1,-1,1,0,-1,0],
  [2,-1,-2,1,1,1,0,-1,-1,1,-1,0,-1,0,0,1,0,0,1,-1,-1,1,-1,2,-1,-1,0,1],
  [0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,-1,0,1],
  [2,-1,-4,1,1,2,2,1,-3,2,0,-2,-1,1,-1,1,1,0,1,-2,-2,1,-2,3,-2,-1,0,2],
  [-1,1,2,-1,-1,-2,-2,0,2,-2,1,1,1,0,0,-1,0,0,0,1,1,-1,2,-2,1,0,0,0],
  [0,1,0,-1,0,-1,-1,1,0,-1,2,-1,1,0,-1,-1,1,1,1,0,-1,0,1,-1,-1,0,0,1],
  [0,-1,0,0,-1,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,-1,0,0,0,1,0,1],
  [0,-1,-1,0,0,1,2,2,-1,1,0,-1,0,0,0,0,0,0,-1,0,-1,0,-1,1,0,0,0,1],
  [-2,0,2,0,0,-2,-1,2,1,-1,0,0,1,0,0,-1,0,0,-1,2,0,-1,1,-1,2,1,-1,-1],
  [0,0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,2,1,-1,0,0],
  [1,-2,-2,1,1,2,2,0,-1,1,-1,0,-1,0,1,1,-1,0,-1,-1,-1,0,-2,3,0,0,0,1],
  [1,0,-1,0,0,1,1,0,-1,0,0,0,-1,0,0,0,-1,0,0,-1,-1,1,-1,2,0,-1,0,1],
  [1,0,-1,0,-1,1,1,0,-1,1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,0,1,1],
  [1,-1,-3,1,1,2,2,1,-2,1,-1,-1,-2,1,0,1,-1,-1,0,-1,-1,2,-2,4,0,-1,-1,1],
  [1,0,0,0,-1,1,0,-2,0,0,0,1,0,0,1,0,-1,0,0,-1,0,0,0,0,-1,0,1,1],
  [1,-1,-3,0,0,1,2,2,-2,1,1,-2,0,1,-1,0,1,0,0,-1,-1,0,-1,2,-1,-1,0,2],
  [0,-1,-1,0,0,1,1,1,-1,1,0,-1,0,0,0,0,0,0,0,0,-1,0,-1,1,0,0,0,1],
  [2,0,-1,0,-1,1,-1,-3,1,0,-1,1,0,1,1,1,0,-1,1,-1,1,0,0,0,-1,-1,1,1],
  [1,-1,-3,1,1,2,2,0,-1,1,-1,0,-2,1,1,1,-1,-1,0,-2,-1,1,-2,4,0,-1,0,1],
  [1,0,-2,1,1,1,0,-1,-1,1,0,0,-1,0,0,0,0,0,1,-2,-1,1,-1,2,-1,-1,0,1],
  [1,-1,-3,1,1,2,1,0,-1,1,-1,-1,-1,1,0,1,0,-1,0,-1,-1,1,-2,3,0,-1,0,1],
  [0,-1,-1,1,0,1,2,0,-1,1,0,0,-1,0,1,0,-1,0,-1,-1,0,0,-1,2,0,0,0,1],
  [1,-1,-3,1,1,1,2,1,-1,1,-1,-1,-1,1,0,1,0,-1,0,-1,-1,1,-2,3,0,-1,0,1],
  [1,-2,-3,1,1,2,2,0,-1,1,-1,0,-2,1,1,1,-1,-1,0,-1,0,1,-2,3,0,-1,0,1],
  [0,0,1,0,0,-1,-2,-1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0]],
 [[-5,1,7,-1,-1,-4,-3,2,3,-2,1,1,2,-2,0,-3,0,1,-2,5,2,-2,3,-5,3,3,-2,-3],
  [0,0,1,-1,-1,0,-1,-1,1,0,0,0,1,0,0,0,1,0,0,1,1,-1,1,-2,-1,1,0,0],
  [-3,0,4,0,-1,-1,-1,0,2,-1,-1,2,0,-1,1,-1,-1,0,-2,3,2,-1,1,-2,2,2,-1,-2],
  [-3,0,3,0,-1,-2,0,2,1,-1,0,0,1,0,0,-1,0,0,-2,3,1,-2,1,-2,2,2,-1,-1],
  [-1,1,3,-1,-1,-1,-2,-1,2,-1,0,1,2,-1,0,-1,0,1,0,2,1,-1,1,-3,0,1,0,-1],
  [0,-1,0,0,-1,1,0,-1,1,0,-1,0,0,1,1,1,0,-1,-1,1,1,-1,0,0,0,1,0,0],
  [-2,0,2,0,0,-1,0,1,1,-1,0,1,0,-1,0,-1,-1,1,-1,2,1,0,0,-1,1,1,-1,-1],
  [-2,1,3,-1,-1,-2,-2,0,2,-1,1,0,2,0,0,-1,1,0,-1,2,1,-2,2,-3,1,1,0,-1],
  [-4,1,6,-1,-1,-4,-3,1,3,-2,1,1,2,-1,0,-2,0,1,-1,4,2,-2,3,-5,2,2,-1,-2],
  [-2,1,5,-1,-1,-3,-4,-1,3,-1,0,1,2,-1,0,-1,1,0,0,3,2,-2,3,-5,1,2,0,-2],
  [-3,1,5,-1,-1,-4,-3,2,2,-2,1,0,2,-1,-1,-2,1,1,-1,4,1,-2,3,-4,2,2,-1,-2],
  [-1,2,3,-1,-1,-3,-3,0,2,-2,1,0,2,0,-1,-1,1,0,0,2,1,-1,2,-3,1,0,0,-1],
  [1,1,0,0,-1,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0],
  [-2,2,5,-1,-2,-3,-4,-1,3,-2,0,1,2,0,0,-1,1,0,0,3,2,-2,3,-5,1,2,0,-2],
  [0,0,1,0,-1,0,-1,-2,1,0,0,1,1,0,1,0,1,0,0,0,1,-2,1,-2,-1,1,1,0],
  [-1,1,3,-1,0,-2,-3,0,1,-1,1,0,2,-1,-1,-1,1,1,0,2,0,-1,2,-3,0,1,0,-1],
  [0,-1,0,1,0,1,1,-1,0,0,-1,1,-1,0,1,0,-1,0,-1,0,1,0,-1,1,0,0,0,0],
  [-1,0,2,0,0,-1,-2,-1,1,0,0,0,1,0,0,0,1,0,0,1,1,-1,1,-2,0,1,0,-1],
  [-2,-1,1,0,0,-1,1,2,1,-1,0,0,0,0,0,0,0,0,-2,2,1,-1,0,0,2,1,-1,-1],
  [0,0,1,-1,-1,-1,-1,0,1,-1,0,0,1,0,0,0,1,0,0,1,1,-1,1,-2,0,1,0,0],
  [0,-1,-1,0,0,1,2,1,-1,1,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,1,0,0,0,0],
  [-2,1,3,0,-1,-2,-1,1,1,-1,0,0,1,0,0,-1,0,0,-1,2,1,-1,1,-2,1,1,0,-1],
  [-1,0,1,0,-1,0,0,0,1,0,0,0,1,0,0,0,0,0,-1,1,1,-1,0,-1,0,1,0,0],
  [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],
  [-3,0,4,0,0,-2,-2,1,2,-1,0,0,1,-1,0,-1,0,0,-1,3,1,-1,1,-2,2,2,-1,-2],
  [-3,2,5,-1,-1,-4,-2,2,2,-2,1,0,2,-1,-1,-2,0,1,-1,3,1,-1,2,-3,2,1,-1,-2],
  [-1,0,0,0,0,0,1,1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,1,1,0,0,0],
  [-2,1,4,-1,-1,-2,-2,0,2,-1,0,1,2,-1,0,-1,0,0,0,2,1,-1,1,-3,1,1,0,-1]]]],

[ # Q-class [28][19]
 [[4],
  [0,4],
  [1,2,4],
  [2,0,2,4],
  [1,2,2,2,4],
  [2,1,0,1,1,4],
  [0,1,1,1,0,0,4],
  [2,1,1,1,2,2,0,4],
  [1,1,1,1,0,1,2,0,4],
  [1,1,1,1,0,1,2,0,2,4],
  [1,1,2,1,1,0,1,1,2,1,4],
  [0,1,2,1,1,0,2,0,1,1,2,4],
  [0,1,1,1,0,0,2,0,2,2,1,1,4],
  [1,1,1,1,0,1,2,0,2,2,1,1,2,4],
  [1,1,2,1,1,0,1,1,1,2,2,2,1,1,4],
  [1,1,2,1,1,0,1,1,1,1,2,2,1,2,2,4],
  [2,0,1,2,1,1,1,1,1,1,1,1,0,0,1,0,4],
  [0,1,2,1,1,0,1,0,1,1,2,2,2,1,2,2,0,4],
  [2,0,1,2,1,1,0,1,1,1,1,0,1,0,1,0,2,1,4],
  [0,2,1,0,1,1,1,1,2,1,2,1,1,1,1,1,0,1,0,4],
  [0,2,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,4],
  [2,0,1,2,1,1,1,1,1,2,1,1,1,1,2,1,2,1,2,0,0,4],
  [0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,2,0,4],
  [2,1,1,1,0,2,0,0,2,2,1,0,0,2,1,1,1,0,1,1,0,1,0,4],
  [2,0,1,2,1,1,1,1,2,1,2,1,1,1,1,1,2,1,2,0,0,2,0,1,4],
  [0,2,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,2,2,0,2,1,0,4],
  [2,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,4],
  [1,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,0,4]],
 [[[-2,-1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,-1,1,0,1,1,0,-1,0,0],
  [0,0,1,0,0,1,0,-1,0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0],
  [0,-1,1,-1,1,1,1,-1,-1,0,1,-1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
  [-1,-2,0,-1,1,0,1,1,-1,0,0,0,1,0,0,0,0,0,0,-1,1,0,1,2,0,0,0,0],
  [0,-2,0,0,1,0,1,1,-1,0,0,0,1,0,0,0,1,0,1,-1,1,-2,1,2,-1,0,-2,0],
  [-2,-1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,2,0,-1,0,0],
  [0,0,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,-1,-1,0,0,0,1,0,-1,0,0,1,0],
  [-1,-1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,-1,1,-1,1,1,-1,-1,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,0,0,1,0,0,1,0,1,0],
  [0,0,0,0,0,-1,0,1,0,0,0,1,0,0,-1,-1,-1,0,0,0,0,1,0,1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,1,0,-1,-1,0,1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,1,0,0,1,0,1,0],
  [0,0,0,0,0,-1,-1,1,0,1,0,1,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
  [-1,-1,0,0,0,0,0,1,-1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,-1,0,0],
  [0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,-1,-1,1,0,-1,0,3,0,1,-1,1,-1,1,-1,0,1,1,1,-1,1,-1,2,2,-1,-1,-2,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,2,0,-2,0,0,1,-1,0,0,1,0,0,-1,0,0,0,0,0,-2,0,0,0,0],
  [-1,-1,-1,1,0,-1,-1,3,0,1,-1,1,0,1,-1,0,1,1,1,-1,2,-1,1,2,-1,-1,-2,-1],
  [0,0,1,0,0,1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
  [-1,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,-1,-1,0,-1,0,0,1,0,1,1,0,1,0],
  [-1,-1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,-1,1,0,1,1,0,-1,0,0],
  [0,0,1,0,0,1,0,-1,0,0,0,-1,0,0,1,0,0,-1,0,0,0,0,0,-1,0,0,0,0],
  [-1,-1,0,0,0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],
  [-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,1,0,-1,0,0]],
 [[0,1,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,0,-1,1,0,-1,0,0,1,0],
  [0,0,0,0,0,1,0,-1,0,0,1,0,0,0,1,0,-1,-1,0,0,0,0,0,-1,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,-1,1,0,-1,0,2,1,1,-1,1,-1,0,-1,0,0,1,1,-1,0,-1,1,1,-1,0,-1,-1],
  [0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,1,0],
  [0,1,0,0,0,1,0,-1,1,0,1,0,-1,0,0,0,-1,-1,0,0,-1,1,0,-2,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0],
  [0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,-1,0,0,1,0],
  [1,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,-1,-1,0,-1,0,-1,1,-1,-1,0,1,1,0],
  [0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,1,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
  [1,0,-1,1,0,-1,0,1,0,0,0,1,0,0,0,-1,0,1,0,-1,0,-1,0,1,-1,1,-1,0],
  [0,1,-1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0],
  [0,1,0,0,-1,0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,0,-1,1,0,-1,0,0,1,0],
  [1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,-1,0],
  [1,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,-1,0,0,0,-1,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,-1,0,-1,0,0,1,0,0,0,0,1,0],
  [-1,0,1,-1,0,1,0,-1,0,0,1,-1,0,0,1,0,-1,-1,-1,0,0,1,0,-1,1,0,2,0],
  [0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,0,-1,0,0,0,0,0,1,0,1,0],
  [0,1,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,-1,-1,0,0,-1,1,0,-1,0,0,1,0],
  [1,1,0,0,0,0,0,-1,1,0,0,0,0,-1,0,0,-1,0,-1,0,-1,1,-1,-1,0,1,1,0],
  [-1,0,0,0,0,1,0,-1,0,0,1,-1,0,0,1,0,-1,-1,-1,0,0,1,0,-1,1,0,2,0],
  [0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,-1,0,1,0,-1,0,1,0,0,0,0,0],
  [0,1,0,1,-1,1,-1,0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,-1]]]],

[ # Q-class [28][20]
 [[8],
  [-2,8],
  [1,2,8],
  [0,3,3,8],
  [-1,4,4,3,8],
  [2,1,1,3,2,8],
  [2,1,1,3,2,2,8],
  [2,4,1,0,2,-1,-1,8],
  [3,0,0,1,0,3,0,0,8],
  [3,0,3,2,0,3,0,0,4,8],
  [3,0,3,2,3,3,3,0,1,2,8],
  [0,3,3,2,3,0,3,0,1,2,2,8],
  [1,2,2,3,4,4,1,1,0,0,3,0,8],
  [1,2,2,0,1,1,1,1,0,0,0,0,2,8],
  [1,2,2,3,1,1,1,1,3,3,0,0,-1,2,8],
  [0,3,3,4,3,3,0,0,2,4,1,1,3,0,3,8],
  [3,0,0,2,0,3,3,0,4,2,2,2,3,0,0,1,8],
  [0,3,0,4,3,3,0,3,2,1,1,1,3,0,0,2,1,8],
  [1,2,2,3,1,4,1,1,0,3,3,0,2,2,2,3,0,3,8],
  [2,1,1,3,2,2,2,2,3,3,0,0,1,1,1,3,3,3,1,8],
  [0,3,0,4,0,3,3,0,2,1,1,1,0,0,3,2,1,2,3,0,8],
  [3,0,0,1,0,3,3,0,2,1,4,1,3,3,0,-1,4,2,3,0,2,8],
  [2,1,4,3,2,2,2,2,0,3,3,0,1,1,4,3,0,0,4,2,3,0,8],
  [1,2,2,3,1,1,1,1,0,0,0,0,2,2,2,3,0,0,2,1,3,0,4,8],
  [0,3,3,4,3,3,3,0,-1,1,4,4,3,0,0,2,1,2,3,0,2,2,3,3,8],
  [2,1,1,3,-1,2,2,-1,3,3,0,0,1,1,4,3,3,0,1,2,3,0,2,1,0,8],
  [2,1,4,3,2,2,2,-1,0,3,3,3,1,1,1,3,0,0,1,2,0,0,2,1,3,2,8],
  [2,1,1,3,2,2,2,2,0,0,3,0,4,1,1,0,3,3,1,2,0,3,2,1,3,2,2,8]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  [0,1,0,0,0,0,0,-1,0,0,0,-1,-1,0,0,0,1,1,0,-1,-1,0,1,0,0,0,0,0],
  [0,2,0,0,-1,1,0,-1,-1,0,1,0,0,-1,1,-1,0,1,-1,0,-2,1,1,1,-1,0,0,-1],
  [0,2,1,-4,-2,-1,-1,-3,-3,0,2,0,3,-2,5,-3,2,3,0,3,1,-1,-1,1,0,-1,1,-2],
  [0,0,0,-1,0,-1,0,0,0,1,0,-1,1,0,1,-1,1,0,1,0,1,-1,-1,0,1,-1,1,0],
  [-1,0,0,1,0,1,1,1,1,0,0,0,-1,0,-1,1,-1,-1,0,-1,-1,1,0,0,-1,0,0,1],
  [0,1,0,0,-2,1,-1,-1,-1,-1,1,2,1,-1,1,0,-1,0,-1,2,-1,1,1,0,-1,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
  [0,1,1,-3,-1,-1,0,-2,-2,1,1,-1,2,-1,3,-2,2,3,0,1,1,-1,-1,1,0,-1,1,-1],
  [0,1,1,-3,-1,0,-1,-2,-3,0,2,0,1,-1,3,-1,1,2,-1,2,1,0,-1,1,0,0,0,-1],
  [1,2,1,-4,-2,-1,-1,-3,-3,0,2,0,3,-2,5,-3,2,3,0,3,1,-1,-1,1,0,-1,1,-2],
  [0,1,0,1,-1,1,0,0,1,-1,0,1,-1,0,-1,1,-1,-1,0,0,-1,1,1,0,-1,0,-1,1],
  [-1,0,-1,3,0,2,1,2,2,-1,-1,1,-2,0,-3,2,-2,-2,0,-2,-3,2,2,0,-1,1,-1,1],
  [0,1,0,-1,-1,0,0,-1,-1,0,1,0,1,-1,2,-1,0,1,0,1,-1,0,0,1,0,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [1,2,1,-3,-2,0,-2,-3,-4,0,2,1,3,-2,5,-3,1,2,-1,4,1,0,-1,1,0,-1,0,-2],
  [0,0,0,0,-1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0],
  [0,1,0,0,-1,0,0,-1,0,0,1,0,1,0,1,-1,0,0,0,1,0,-1,0,0,0,-1,0,0],
  [-1,0,-1,3,0,2,1,2,2,0,-1,1,-2,0,-3,2,-3,-2,-1,-2,-3,3,2,0,-1,1,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [-1,0,-1,2,0,1,1,1,2,0,-1,0,-1,0,-2,1,-1,-1,0,-2,-2,1,2,0,-1,0,0,1],
  [0,1,-1,2,0,0,1,0,2,0,-1,0,-1,0,-2,1,-1,-1,0,-2,-2,1,2,0,-1,0,0,1],
  [0,1,1,-3,-1,-1,0,-2,-2,1,1,-1,2,-1,3,-2,2,2,0,1,1,-1,-1,1,0,-1,1,-1],
  [0,0,0,1,0,1,1,1,1,0,0,0,-1,0,-1,1,-1,-1,0,-1,-1,0,0,0,0,0,-1,1],
  [0,1,0,-1,0,0,0,-1,-1,1,1,-1,0,0,1,-1,1,1,0,0,0,-1,-1,1,0,0,0,0],
  [1,2,1,-3,-2,0,-1,-3,-3,0,2,1,3,-2,4,-3,1,2,0,3,1,-1,-1,1,-1,-1,0,-1]],
 [[-2,-2,-2,7,2,2,2,5,5,0,-2,0,-5,2,-7,4,-3,-4,0,-5,-4,3,2,-1,-1,2,-1,2],
  [1,1,0,0,1,0,-1,-1,-1,0,0,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,1,0,1,0,1,0,0,0,0,0,0,-1,0,-1,1,0,0,-1,-1,-1,1,1,0,-1,0,0,0],
  [0,0,0,0,1,1,-1,0,-1,0,0,0,-1,0,0,0,0,0,-1,0,0,1,0,0,0,1,0,0],
  [1,1,0,0,1,0,-1,-1,-1,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [-1,-1,0,2,1,1,0,2,1,0,-1,0,-2,0,-2,1,-1,-2,0,-1,-1,2,0,0,0,1,0,1],
  [0,1,0,1,-1,2,-1,0,0,-1,0,2,0,-1,0,0,-2,-1,-1,1,-2,2,1,0,-1,1,-1,0],
  [0,0,-1,3,1,1,0,1,1,0,0,0,-3,1,-3,2,-1,-1,0,-2,-2,1,1,0,-1,1,-1,1],
  [-2,-2,-1,4,2,1,2,4,4,0,-2,-1,-4,2,-5,3,-1,-3,1,-4,-2,1,1,-1,0,1,0,2],
  [-1,0,0,1,0,1,1,1,1,0,0,0,-1,0,-1,1,-1,-1,0,-1,-1,1,0,0,-1,0,0,1],
  [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0],
  [1,2,1,-2,-1,0,-1,-2,-2,0,1,0,2,-1,3,-2,1,1,0,2,1,-1,-1,0,0,-1,0,-1],
  [0,0,0,1,1,0,-1,0,0,0,0,0,-1,0,-1,0,0,-1,0,0,0,1,0,0,0,1,0,0],
  [-1,0,-1,3,0,2,0,2,1,-1,0,1,-2,0,-3,2,-2,-2,-1,-1,-3,3,2,0,-1,2,-1,0],
  [-1,-1,-1,2,2,1,1,2,2,0,-1,-1,-3,1,-3,2,0,-1,0,-3,-2,1,1,0,0,1,0,1],
  [0,0,0,0,1,0,0,0,0,0,0,-1,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,1,0],
  [-1,0,0,1,0,1,0,1,1,0,0,0,-1,0,-1,0,-1,-1,0,0,-1,1,0,0,0,1,0,0],
  [0,0,0,0,1,0,-1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],
  [0,1,1,-1,-1,1,-1,-1,-2,-1,1,1,1,-2,2,-1,-1,1,-1,2,-1,2,0,1,-1,1,0,-1],
  [-1,0,-1,3,0,3,0,2,1,-1,0,2,-3,0,-3,2,-3,-2,-1,-1,-3,3,2,0,-2,2,-1,1],
  [0,-1,0,1,1,0,0,1,1,0,-1,-1,-1,1,-1,1,0,-1,0,-1,0,0,0,-1,1,0,0,1],
  [-1,0,0,1,0,0,0,1,1,0,0,0,0,0,-1,0,-1,-1,0,0,-1,1,0,0,0,1,0,0],
  [0,0,0,2,0,2,0,1,1,-1,0,1,-2,0,-2,2,-2,-1,-1,-1,-2,2,1,0,-1,1,-1,1],
  [0,-1,-1,3,1,1,0,2,2,-1,-1,0,-2,1,-3,2,-1,-2,0,-2,-1,1,1,-1,0,1,0,1],
  [1,1,1,-1,0,0,-1,-1,-1,0,0,0,1,-1,1,-1,0,0,0,1,1,0,-1,0,0,0,0,0],
  [-1,-1,-1,3,2,1,1,2,3,0,-2,-1,-3,1,-4,2,-1,-2,0,-3,-2,2,2,-1,0,1,0,1],
  [0,1,0,1,0,1,0,0,0,0,0,0,-1,0,-1,0,0,0,-1,-1,-1,1,1,0,-1,0,0,0],
  [0,0,0,0,1,0,-1,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,1,0,0,0,1,0,0]]]],

[ # Q-class [28][21]
 [[6],
  [3,6],
  [2,2,6],
  [2,2,3,6],
  [2,2,2,2,6],
  [2,2,2,2,2,6],
  [2,2,2,2,3,2,6],
  [2,2,2,2,2,3,2,6],
  [3,3,3,3,3,3,3,3,6],
  [2,2,0,0,2,2,2,2,3,6],
  [2,2,2,2,3,2,3,2,3,2,6],
  [3,3,2,2,2,2,2,2,3,2,2,6],
  [2,2,3,3,2,2,2,2,3,3,2,2,6],
  [2,2,2,2,2,0,2,0,3,2,2,2,2,6],
  [2,2,2,2,2,2,2,2,3,2,2,2,2,2,6],
  [2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,6],
  [0,0,2,2,2,2,2,2,3,2,2,3,2,2,2,2,6],
  [2,2,0,0,3,2,2,1,1,1,1,2,0,0,2,2,1,6],
  [2,1,0,0,1,1,3,1,1,1,2,0,0,0,0,0,0,2,6],
  [0,0,0,1,1,2,1,2,1,2,1,0,2,1,2,0,2,2,2,6],
  [2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,3,2,2,2,2,6],
  [2,2,2,1,2,2,2,2,2,0,2,2,0,0,0,1,0,2,2,0,2,6],
  [2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,0,2,1,1,1,0,0,6],
  [2,2,2,2,2,2,2,2,3,2,2,2,2,2,0,2,2,0,1,0,2,2,2,6],
  [2,0,3,1,2,2,2,2,2,0,2,1,2,0,2,1,1,2,2,2,3,3,1,1,6],
  [-1,1,1,1,2,2,2,2,2,0,2,0,1,0,1,2,2,2,2,2,2,2,0,0,2,6],
  [1,1,0,0,2,2,2,0,1,1,2,1,0,2,2,0,0,2,2,1,2,1,1,0,1,1,6],
  [1,1,1,-1,2,2,2,0,2,1,2,1,0,1,2,1,2,2,2,1,2,1,0,1,2,2,2,6]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-33,-14,-1,16,-10,21,-14,21,3,13,6,4,8,39,5,-23,-16,36,24,-37,-5,-10,-18,-2,9,-7,
  -20,3],[-98,-41,-4,47,-29,61,-41,63,8,37,18,12,25,115,13,-67,-46,106,71,-110,-15,
  -30,-52,-7,28,-22,-58,9],[205,83,8,-100,60,-127,86,-132,-16,-79,-37,-25,-50,-240,
  -26,141,94,-220,-149,230,32,64,110,15,-62,46,120,-17],
  [420,170,17,-206,124,-259,176,-271,-34,-162,-76,-50,-102,-491,-53,288,193,-452,-304,471,
  67,131,225,30,-128,95,245,-36],[78,31,3,-38,22,-48,33,-50,-6,-30,-14,-9,-19,-91,
  -10,53,35,-83,-57,87,13,24,42,6,-24,18,45,-6],
  [172,69,7,-84,51,-106,72,-111,-14,-66,-31,-20,-42,-201,-22,118,78,-185,-125,193,28,54,
  93,12,-53,39,100,-14],[45,18,2,-22,13,-28,19,-29,-3,-17,-8,-5,-11,-53,-6,31,20,
  -48,-33,51,7,14,24,3,-14,10,26,-3],
  [238,97,10,-116,70,-147,100,-153,-19,-91,-43,-28,-59,-278,-31,163,109,-256,-173,267,37,
  73,127,17,-71,54,139,-20],[157,64,6,-77,46,-97,66,-101,-12,-61,-28,-19,-38,-184,-20,
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[ # Q-class [28][22]
 [[8],
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[ # Q-class [28][23]
 [[6],
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[ # Q-class [28][24]
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  [3,1,-2,0,0,-1,2,1,1,1,-2,-2,2,1,-1,0,0,-1,-1,1,-2,-2,0,0,3,-2,0,-1],
  [2,0,-1,0,0,-1,2,0,0,1,-1,-1,1,1,0,0,0,-1,-1,0,-1,-1,0,0,1,-2,1,0],
  [-1,0,1,0,0,1,-2,0,-1,-1,0,1,-1,0,1,0,0,1,1,-1,1,1,-1,0,-1,1,0,0],
  [0,-1,0,0,0,-1,0,-1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],
  [3,2,0,1,-2,-3,2,2,2,4,-1,-1,-2,0,-2,-2,-3,1,1,0,-4,-2,1,0,5,-4,1,0],
  [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],
  [2,2,1,1,-2,-1,0,2,0,3,0,0,-2,0,-1,-1,-3,1,1,-1,-2,-1,0,-1,3,-3,1,0],
  [-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,-1,1,-1,0],
  [0,-1,-1,-1,1,1,0,-1,-1,-2,0,0,2,1,1,1,2,-1,-1,0,1,0,-1,0,-2,1,0,0],
  [1,0,0,0,-1,-2,1,0,1,1,0,0,0,0,0,-1,-1,0,0,1,-1,-1,1,1,2,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [1,0,-1,0,0,-1,1,0,1,1,-1,-1,1,1,0,0,0,-1,-1,1,-1,-1,1,0,1,-1,0,0],
  [0,-1,-1,-1,1,1,0,-2,-1,-2,0,0,2,0,1,1,2,-1,-1,0,2,1,0,1,-2,1,0,0],
  [-1,-1,1,0,-1,0,-1,-1,-1,0,1,1,-1,0,1,0,0,1,1,-1,1,1,0,0,-1,0,1,1],
  [-1,0,2,1,-1,-1,-1,0,0,1,1,2,-2,-1,0,-1,-2,1,2,-1,0,1,0,0,0,0,0,1],
  [1,1,-1,-1,1,1,1,1,0,0,-1,-2,1,1,0,1,1,-1,-2,1,-1,-1,0,-1,0,0,-1,-1],
  [-2,-1,1,-1,1,2,-2,-2,-2,-3,1,1,1,0,2,1,2,0,0,-1,3,2,-1,0,-4,2,0,0],
  [1,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,1,0],
  [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [2,2,-1,0,0,0,1,2,1,1,-1,-2,0,0,-1,0,-1,0,-1,1,-2,-1,0,-1,2,-1,-1,-1]]]],

[ # Q-class [28][25]
 [[4],
  [0,4],
  [-1,0,4],
  [-1,0,2,4],
  [1,0,0,0,4],
  [0,0,-2,0,-2,4],
  [1,0,0,-2,2,-2,4],
  [2,0,-2,-2,2,0,2,4],
  [0,-2,1,1,1,-1,0,0,4],
  [2,-1,1,0,1,-1,1,1,0,4],
  [-2,-1,1,2,0,0,-1,-1,0,0,4],
  [-2,-1,1,1,1,-1,0,-1,0,0,2,4],
  [0,1,-1,-1,0,1,0,0,0,-2,-2,0,4],
  [-1,0,-1,0,-1,1,-1,-1,0,-2,0,0,1,4],
  [0,-2,0,0,0,0,0,0,2,0,0,0,0,-1,4],
  [1,0,-1,-2,0,0,1,1,0,0,-2,-1,1,0,-1,4],
  [0,0,1,1,0,0,-1,0,0,1,1,0,-1,-2,1,-2,4],
  [-1,0,1,1,1,-1,0,-1,0,0,1,2,0,0,1,-2,0,4],
  [1,0,0,0,0,1,0,1,0,1,0,-1,0,-2,0,0,2,-2,4],
  [2,0,0,0,0,0,1,1,0,2,0,-2,-2,-1,0,0,0,-1,1,4],
  [2,0,-1,-1,1,0,1,2,0,1,-1,-1,0,-2,0,2,0,-2,2,1,4],
  [-1,-1,-1,0,-1,1,-1,-1,1,-2,0,0,1,2,1,0,-1,0,-1,-1,-1,4],
  [1,-1,-1,-2,0,0,1,1,1,0,-2,-1,1,0,1,2,-1,-1,0,0,1,0,4],
  [0,1,1,1,0,0,-1,0,-1,1,1,0,-1,-1,-1,-1,2,0,1,0,0,-2,-2,4],
  [-1,1,1,1,1,-1,0,-1,-1,0,1,2,0,0,-1,-1,0,2,-1,-1,-1,0,-2,0,4],
  [1,0,0,0,0,1,0,1,0,1,0,-1,0,-1,0,0,1,-1,2,1,1,-2,0,2,-2,4],
  [0,2,1,1,1,-1,0,0,-2,1,1,1,-1,-1,-2,-1,1,1,0,0,0,-2,-2,2,2,0,4],
  [2,0,-1,-1,1,0,1,2,0,1,-1,-1,0,-1,0,1,0,-1,1,1,2,-2,2,0,-2,2,0,4]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  [0,0,0,-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],
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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,-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,-1,1,1,0,-1,0,0,0,0,0,-1,0,-1,0,-1,-1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,-1,-1,0,0,-1,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,0,1,0,0,0,0,0,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
  [0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,1,0,1,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
  [0,0,0,1,-1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
 [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],
  [0,0,0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0],
  [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,-1],
  [0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0],
  [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,-1],
  [0,0,0,-1,1,0,-1,-1,0,0,0,0,0,-1,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,-1,0,0,0,0,0,0,0,0,0,-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,-1,0,-1,-1,-1,0,-1,0,0,0,0,0,0,0,0],
  [0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,-1,0,0],
  [-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
  [1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,-1],
  [1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-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,-1,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,-1,0,0,-1,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-1,0,-1,0,0,0,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,0,1,0,1,0,-1,0,0,-1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,-1,-1,-1,-1,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,0,0,-1,0,0,-1]]]],

[ # Q-class [28][26]
 [[4],
  [1,4],
  [-2,-2,4],
  [1,0,0,4],
  [-2,0,1,-1,4],
  [1,-1,1,1,-2,4],
  [-1,-1,0,-2,1,-1,4],
  [0,2,-1,-1,0,-1,-1,4],
  [0,-1,0,1,-1,1,1,-2,4],
  [2,2,-1,1,-1,1,-2,1,-1,4],
  [1,1,0,1,-1,1,-2,1,-1,2,4],
  [2,0,-1,2,-2,1,-2,0,0,1,1,4],
  [-1,-1,1,1,0,0,-1,0,0,-1,0,1,4],
  [-1,0,1,1,0,1,0,-1,2,0,0,-1,0,4],
  [-1,1,-1,-1,1,-2,1,1,0,-1,-2,-1,1,0,4],
  [-1,-1,1,1,1,-1,-1,0,-1,-1,0,1,2,-1,0,4],
  [-1,-1,1,-1,1,-1,0,1,-2,-1,1,0,1,-2,-1,2,4],
  [-1,0,1,1,1,-1,0,-1,1,0,0,-1,0,2,0,0,-1,4],
  [0,1,0,-1,0,1,-1,2,-2,1,1,0,0,-1,0,0,1,-2,4],
  [1,1,0,1,-2,2,-2,1,0,2,2,1,0,1,-1,-1,-1,0,1,4],
  [-1,1,-1,-2,1,-2,2,1,0,-1,-1,-2,-1,0,2,-1,0,0,0,-1,4],
  [-2,0,1,0,2,-1,1,-1,1,-1,-1,-2,0,2,1,0,-1,2,-1,-1,1,4],
  [2,0,-1,1,-2,1,-1,0,0,1,2,2,0,-1,-2,0,1,-1,0,1,-1,-2,4],
  [1,0,0,2,-2,2,-1,-1,2,1,1,1,0,2,-1,-1,-2,1,-1,2,-1,0,1,4],
  [0,-1,1,2,-1,1,-2,0,0,0,1,2,2,0,-1,2,1,0,0,1,-2,-1,1,1,4],
  [-1,1,1,2,1,0,-1,-1,1,0,0,0,1,2,0,1,-1,2,-1,0,-1,2,-1,1,1,4],
  [-1,-1,0,0,1,-1,2,-2,2,-2,-2,-1,0,1,1,0,-1,1,-2,-2,1,2,-1,0,-1,1,4],
  [1,1,-2,-1,-1,-1,0,2,-1,0,0,1,0,-2,1,0,1,-2,1,0,1,-2,1,-1,0,-2,-1,4]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  [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,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0],
  [0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,1,0,1,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],
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  [0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [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,-1,0,0],
  [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0],
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  [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
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  [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0]],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0],
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  [1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0],
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  [-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
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[ # Q-class [28][27]
 [[16],
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  [4,-4,4,16],
  [-4,4,-4,-4,16],
  [-4,-2,-4,8,4,16],
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  [0,0,0,1,-1,0,1,-1,-1,-1,1,-1,-1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1],
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  [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],

[ # Q-class [28][28]
 [[8],
  [1,8],
  [1,4,8],
  [1,4,4,8],
  [4,1,1,2,8],
  [4,2,1,1,2,8],
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  [2,1,1,2,4,2,2,4,8],
  [2,1,2,1,2,2,2,2,4,8],
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[ # Q-class [28][29]
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[ # Q-class [28][30]
 [[24],
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[ # Q-class [28][31]
 [[6],
  [3,6],
  [3,3,6],
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  [1,0,1,2,6],
  [2,1,1,3,3,6],
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  [1,0,0,2,3,2,2,1,6],
  [1,1,0,3,2,2,3,3,3,6],
  [1,0,1,3,3,3,2,1,3,2,6],
  [2,1,0,1,1,1,1,3,3,2,2,6],
  [3,1,1,2,1,3,3,2,1,2,2,2,6],
  [2,1,2,1,1,1,1,2,1,1,-1,1,0,6],
  [2,2,3,3,1,1,1,1,-1,1,1,0,1,2,6],
  [2,2,0,2,0,1,1,3,2,3,2,3,1,2,1,6],
  [1,1,0,2,2,3,2,2,3,3,1,3,2,1,0,1,6],
  [1,-1,1,2,2,1,2,0,2,1,3,2,3,0,1,0,1,6],
  [1,2,1,2,0,1,2,2,1,3,1,1,3,2,1,3,1,1,6],
  [1,0,2,3,1,2,1,1,1,1,2,1,1,1,2,2,1,2,1,6],
  [1,2,1,1,2,2,1,1,2,1,1,1,2,1,0,0,3,1,1,-1,6],
  [3,2,2,1,2,2,2,1,-1,1,1,0,2,1,3,1,0,1,1,1,0,6],
  [2,3,2,1,0,1,1,2,0,1,0,1,1,1,2,1,1,-1,1,1,2,2,6],
  [1,2,1,1,1,1,1,2,-1,2,0,0,1,3,3,2,0,0,3,1,0,3,1,6],
  [1,2,2,1,2,1,1,3,1,3,0,1,1,2,1,2,1,0,2,2,1,2,2,3,6],
  [1,0,1,3,3,1,0,2,2,3,2,1,1,1,2,1,1,2,1,1,1,0,0,1,2,6],
  [1,2,3,1,2,1,0,2,1,1,1,2,1,2,2,1,2,1,1,1,2,1,1,1,2,2,6],
  [2,1,0,1,1,1,2,3,1,2,1,1,3,1,0,1,1,2,3,1,2,1,2,2,2,2,0,6]],
 [[[0,0,0,1,0,-1,-1,0,0,1,1,0,1,1,0,-1,0,-1,-1,0,0,0,0,0,0,-1,0,0],
  [0,0,0,0,0,-1,0,0,0,0,1,0,1,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,-1,0,-1,0,1,1,0,1,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0],
  [-2,0,2,1,0,0,-1,1,1,0,-1,0,1,0,0,1,0,0,-1,-1,0,1,0,0,-1,0,-1,0],
  [0,0,0,0,-1,0,-1,0,0,1,1,0,0,1,0,-1,0,0,0,0,0,1,0,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
  [-2,0,2,1,0,-1,-2,1,1,1,0,0,2,1,0,0,0,-1,-2,0,0,1,-1,0,-1,-1,-1,1],
  [0,0,0,-1,0,1,0,0,0,0,0,0,-1,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0],
  [-2,0,2,0,0,0,-1,1,1,0,-1,0,1,0,0,1,0,0,-1,0,0,1,0,0,-1,0,-1,0],
  [0,0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
  [0,0,0,-1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0],
  [-1,0,1,1,0,0,-1,1,1,1,-1,0,1,0,0,0,-1,0,-1,0,0,0,0,0,-1,-1,0,0],
  [-2,1,1,1,0,-1,-1,0,0,1,1,0,2,2,0,0,0,-1,-2,0,0,1,-1,-1,0,-1,-1,1],
  [-2,1,1,1,0,-2,-1,0,0,1,1,0,3,2,-1,0,0,-1,-2,0,0,1,0,0,-1,0,-1,0],
  [-2,1,2,1,0,-1,-2,1,1,1,0,0,2,1,0,0,0,-1,-2,0,0,1,-1,0,-1,-1,-1,1],
  [-1,0,0,-1,0,1,1,0,0,-1,-1,0,0,0,1,1,0,0,0,0,0,0,0,-1,0,1,0,0],
  [-1,0,1,0,0,1,0,0,0,1,-1,1,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0],
  [-4,1,3,2,0,-1,-2,2,2,1,-1,0,3,1,-1,1,-1,-1,-3,0,0,2,-1,0,-2,-1,-1,1],
  [-4,1,3,2,0,-1,-2,1,2,1,-1,0,3,1,0,1,0,-1,-3,-1,-1,2,-1,0,-2,-1,-1,2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,1,-1,1,-1,-2,-1,0,0,1,2,0,2,2,-1,-2,0,-1,-1,1,0,1,0,0,0,0,0,-1],
  [-2,1,1,1,0,-2,-1,1,1,0,1,-1,3,2,-1,0,1,-1,-2,0,-1,1,0,0,-1,0,-1,0],
  [-3,1,2,2,-1,-2,-2,1,1,1,1,0,3,2,-1,0,0,-1,-3,0,0,2,-1,0,-1,-1,-1,1],
  [-2,0,2,1,-1,-1,-2,1,2,1,0,0,2,1,0,0,0,-1,-2,0,0,2,-1,0,-1,-1,-1,1],
  [-2,-1,3,1,0,0,-2,1,1,1,-1,0,1,0,0,1,0,0,-1,-1,0,1,0,0,-1,-1,-1,1],
  [1,0,-1,-1,0,0,0,-1,-1,1,1,0,0,1,1,0,0,0,0,0,0,-1,0,-1,1,0,0,0],
  [-4,0,4,3,0,-1,-3,2,2,1,-1,0,3,1,-1,1,0,-1,-3,-1,-1,2,-1,0,-2,-2,-1,2]],
 [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [1,0,-1,-1,0,1,1,0,-1,0,0,1,-1,0,0,-1,-1,0,1,1,1,0,0,0,0,1,0,-1],
  [-1,0,1,0,1,0,0,0,0,0,-1,0,1,0,0,1,0,0,-1,0,0,0,0,0,-1,0,0,1],
  [0,0,0,1,0,-1,-1,0,0,1,1,0,1,1,0,-1,0,-1,-1,0,0,0,0,0,0,-1,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [-1,1,0,0,0,-1,1,0,0,0,0,0,1,1,-1,0,0,-1,-1,1,0,1,0,0,-1,1,0,0],
  [0,0,0,0,0,-1,0,-1,0,0,1,0,1,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1],
  [-2,0,1,0,0,0,1,0,1,-1,-1,0,1,0,0,1,0,-1,-1,0,0,1,0,0,-1,1,0,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
  [0,1,-1,-1,0,-1,1,-1,0,0,1,0,1,1,0,0,0,-1,-1,1,0,0,0,0,0,1,0,0],
  [0,1,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,0,1,1,0,0,-1,1,1,0,-1,0,1,0,-1,0,0,0,-1,0,0,1,0,1,-1,0,0,0],
  [-1,0,1,0,0,0,0,0,1,0,-1,0,0,0,0,1,0,0,-1,0,0,1,0,0,-1,0,0,1],
  [0,1,-1,-1,0,-1,1,-1,0,0,1,0,1,1,0,-1,0,-1,0,1,0,0,0,0,0,1,0,0],
  [-2,1,1,1,0,-1,-1,1,1,0,0,0,2,1,0,0,0,-1,-2,0,0,1,-1,0,-1,0,-1,1],
  [-1,1,-1,0,0,0,1,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,1,0,-1,0,1,0,0],
  [-3,1,2,1,0,-1,-1,1,1,1,-1,1,2,1,-1,0,-1,-1,-2,1,1,2,-1,0,-2,0,-1,1],
  [2,0,-2,-1,0,0,1,-1,-1,0,1,0,-1,0,1,-1,0,0,1,0,0,-1,0,0,1,0,1,0],
  [0,0,0,1,-1,0,-1,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0],
  [2,0,-2,-1,-1,0,1,-1,-1,0,1,0,-1,0,0,-1,0,0,1,1,1,0,0,0,1,1,1,-1],
  [-1,0,0,1,0,0,0,1,1,-1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
  [-1,0,0,0,0,0,1,0,0,0,-1,1,0,0,0,0,-1,-1,0,1,1,1,0,0,-1,1,0,0],
  [-1,0,1,0,1,0,0,0,0,0,-1,0,1,0,0,1,0,-1,-1,0,0,0,0,0,-1,0,0,1],
  [0,1,-1,-1,0,0,1,-1,-1,0,1,1,0,1,0,-1,0,-1,0,1,0,0,0,0,0,1,0,0],
  [-1,1,0,1,0,-1,0,0,0,0,0,0,1,1,0,0,0,-1,-1,0,0,1,-1,-1,0,0,0,1]]]],

[ # Q-class [28][32]
 [[8],
  [2,8],
  [4,0,8],
  [3,3,3,8],
  [3,3,3,4,8],
  [2,1,0,2,1,8],
  [0,4,2,3,3,1,8],
  [3,3,3,4,2,0,3,8],
  [4,1,2,1,2,2,-1,0,8],
  [1,2,1,3,3,1,2,0,1,8],
  [2,3,0,-1,1,0,3,1,2,1,8],
  [2,2,1,3,3,-1,1,0,1,2,3,8],
  [3,1,2,1,2,-2,0,2,0,1,1,3,8],
  [3,0,3,2,1,2,0,0,3,3,2,2,2,8],
  [3,1,0,1,2,2,1,1,3,1,2,2,4,4,8],
  [4,1,2,0,0,2,1,0,2,2,3,2,3,3,3,8],
  [2,2,1,2,1,1,1,0,4,2,1,2,0,3,3,1,8],
  [3,1,3,1,2,-1,0,1,3,3,2,2,2,2,1,2,3,8],
  [1,1,0,2,1,3,2,0,2,2,0,0,0,1,3,1,4,0,8],
  [1,1,1,2,1,0,2,2,2,4,1,1,1,3,3,1,4,3,2,8],
  [3,0,3,1,2,1,0,2,3,0,1,0,2,1,2,3,3,4,3,1,8],
  [2,2,1,0,0,1,0,1,1,0,0,0,2,-1,0,2,2,2,0,0,2,8],
  [2,2,1,0,0,1,2,3,1,1,3,1,0,0,0,4,2,1,2,2,3,1,8],
  [4,1,2,3,0,1,0,3,2,2,1,1,0,3,0,2,4,3,2,2,3,1,4,8],
  [3,3,0,2,1,1,0,2,3,2,1,1,1,1,2,1,3,0,3,0,2,1,2,3,8],
  [1,3,1,2,1,2,3,1,3,2,2,0,0,1,1,1,3,1,3,0,1,1,2,2,4,8],
  [3,1,2,1,2,1,1,-1,3,0,2,3,0,2,1,3,3,1,3,0,2,0,3,3,1,2,8],
  [1,2,1,2,1,1,4,3,1,0,3,1,0,0,1,2,2,0,2,1,3,-1,4,2,2,3,3,8]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [-1,0,1,0,1,0,-1,0,0,-1,0,0,0,0,0,1,0,1,1,0,-2,0,0,1,0,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
  [-3,0,2,2,2,0,-2,-1,0,-2,2,-2,1,-1,0,2,1,1,1,0,-3,0,0,1,1,-1,-1,1],
  [-1,0,1,2,0,0,-1,-1,0,0,1,-2,1,-1,1,0,1,1,0,-1,-2,0,1,0,0,-1,0,1],
  [-1,0,1,2,0,0,-1,-1,0,0,1,-1,0,-1,1,0,0,0,-1,0,0,0,1,0,0,0,0,0],
  [-1,0,1,0,1,0,-1,0,0,-1,0,0,0,0,0,1,0,1,1,0,-2,0,0,0,0,0,-1,1],
  [-2,0,2,1,1,0,-1,-1,0,-1,1,-1,0,-1,1,1,0,1,1,0,-2,0,0,1,1,-1,-1,1],
  [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [-2,1,2,1,3,-1,-3,-2,-1,-3,1,-1,-1,0,1,2,-1,1,2,1,-3,1,0,2,0,0,-2,2],
  [1,0,-1,-3,1,0,0,2,0,0,-2,2,-1,1,-1,1,0,0,1,0,0,0,-1,0,-1,1,-1,1],
  [-1,0,0,-1,2,0,-1,1,0,-1,0,0,0,0,-1,2,1,0,1,0,-2,0,-1,1,0,0,-1,1],
  [0,0,0,-1,1,0,0,0,0,-1,0,0,0,0,-1,1,0,0,1,1,-1,0,-1,1,0,0,-1,1],
  [-1,0,0,0,2,0,-1,0,0,-2,0,0,0,0,-1,2,0,0,1,1,-1,0,-1,1,0,0,-1,1],
  [0,0,0,0,1,0,-1,0,0,-1,0,0,0,0,-1,1,0,0,1,1,-1,0,0,0,0,0,-1,1],
  [1,1,0,-2,0,0,0,0,0,0,-1,2,-1,0,0,0,-1,-1,0,1,1,0,-1,1,-1,1,-1,1],
  [0,0,0,0,1,0,-1,0,0,-1,0,0,0,1,-1,1,0,0,1,0,-1,0,0,0,0,0,-1,1],
  [0,0,0,0,2,-1,-1,-1,0,-2,0,0,-1,1,0,1,-1,1,2,0,-2,1,0,1,0,0,-2,2],
  [-1,0,1,1,2,0,-2,-1,-1,-2,1,-1,0,0,-1,2,0,1,1,1,-2,0,0,0,1,0,-1,1],
  [-1,1,2,0,2,-1,-2,-2,0,-2,0,0,-1,0,1,1,-2,0,2,1,-2,1,0,2,0,0,-2,2],
  [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,-1,1],
  [1,0,0,-1,-1,0,0,1,0,1,0,1,-1,0,0,0,0,-1,0,0,1,0,-1,0,-1,1,0,0],
  [0,1,1,-1,0,0,0,-1,0,0,-1,1,-1,0,1,0,-1,0,0,0,0,0,0,1,0,0,-1,1],
  [-2,0,1,1,2,0,-1,-1,0,-2,1,-1,0,0,0,2,0,1,1,0,-2,0,0,1,1,-1,-1,1],
  [-2,0,1,1,2,0,-2,-1,-1,-2,1,-1,0,0,0,2,0,1,1,1,-2,0,0,1,1,0,-1,1],
  [-1,0,0,0,1,0,-1,0,0,-1,0,0,0,1,-1,1,0,1,1,0,-1,0,0,0,0,0,-1,1],
  [-2,0,1,1,1,1,-1,-1,0,-1,1,-1,1,-1,0,1,0,1,0,0,-2,0,0,1,1,-1,0,1],
  [-2,0,2,1,1,1,-1,-2,0,-1,1,-1,1,-1,1,0,0,1,0,0,-2,0,1,1,1,-1,-1,1]],
 [[-4,0,3,2,4,0,-3,-3,-1,-4,2,-2,0,-1,1,3,-1,2,2,1,-5,1,0,3,2,-1,-2,2],
  [-2,-1,1,1,1,1,0,-1,0,-2,1,-1,1,-1,0,1,0,1,0,1,-2,0,0,1,2,-1,0,0],
  [-1,0,1,1,2,0,-1,-2,-1,-2,1,-1,0,0,0,1,-1,1,1,1,-2,1,0,1,1,0,-1,1],
  [-1,0,1,0,2,0,-1,-1,-1,-2,0,0,-1,0,1,1,-1,1,1,1,-2,1,0,1,1,0,-1,1],
  [-1,0,1,0,1,1,-1,0,-1,-1,1,0,0,-1,0,1,0,0,0,1,-1,0,-1,1,1,0,0,0],
  [-3,0,2,2,2,0,-2,-2,0,-2,2,-2,0,-1,2,1,-1,1,1,0,-3,1,1,2,1,-1,-1,1],
  [-1,-1,0,1,0,1,1,0,0,0,1,-1,1,-1,0,0,1,0,-1,0,0,0,0,0,1,-1,1,-1],
  [-2,0,2,1,2,0,-1,-2,0,-2,1,-1,0,-1,1,1,-1,1,1,1,-3,1,0,2,1,-1,-1,1],
  [-2,0,1,0,3,0,-2,0,-1,-3,1,-1,0,0,-1,3,0,1,2,1,-3,0,-1,1,1,0,-1,1],
  [-1,0,1,1,1,0,-1,-1,-1,-1,1,-1,0,-1,1,1,0,0,0,1,-1,0,0,1,1,0,0,0],
  [-1,-1,0,1,1,0,0,0,0,-1,1,-1,1,0,-1,1,1,0,0,0,-1,0,0,0,1,-1,0,0],
  [0,-1,-1,0,1,0,0,1,-1,-1,0,0,0,1,-1,1,1,1,0,0,-1,0,0,-1,1,0,0,0],
  [1,0,-1,-1,0,0,1,0,0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,2,-1,-1,-1,-1,-2,0,0,-1,1,0,1,-1,0,1,1,-1,1,0,1,0,1,-1,1],
  [-1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,-1,0,0,1,0,0,0,0],
  [-1,-1,0,2,1,0,0,-1,0,-1,1,-2,1,0,0,1,1,1,0,-1,-2,0,1,0,1,-1,0,0],
  [-2,0,1,1,2,0,-1,-1,-1,-3,1,-1,0,0,0,2,0,1,1,1,-2,0,0,1,1,0,-1,0],
  [-1,0,1,1,1,0,-1,-1,-1,-1,1,-1,0,0,0,1,0,0,0,1,-1,0,0,0,1,0,0,0],
  [-1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,1,0,-1,0,0,1,0,0,-1,0],
  [-1,0,1,1,1,0,-1,-1,-1,-1,1,-1,0,-1,1,1,0,0,0,1,-1,0,0,1,0,0,0,0],
  [0,0,0,0,1,0,0,0,0,-1,0,0,0,1,-1,1,0,0,1,0,-1,0,0,0,0,0,-1,0],
  [-3,0,2,3,1,1,-1,-3,0,-2,2,-3,2,-1,1,0,0,2,0,0,-3,0,2,1,2,-2,0,0],
  [-2,-1,1,2,2,0,-1,-1,0,-2,2,-2,1,-1,0,2,1,1,1,0,-3,0,0,1,1,-1,-1,0],
  [-2,0,2,1,3,-1,-2,-2,-1,-3,1,-1,-1,0,1,2,-1,1,2,1,-3,1,0,2,1,0,-2,1],
  [-2,0,1,-1,3,0,-1,0,0,-3,0,0,0,0,-1,3,0,1,2,1,-3,0,-1,2,1,0,-2,1],
  [-1,0,0,-1,2,0,0,0,0,-2,0,0,0,0,-1,2,0,0,1,1,-1,0,-1,1,1,0,-1,0],
  [-1,-1,0,1,2,0,-1,0,-1,-2,1,-1,0,0,-1,2,1,1,1,0,-2,0,0,0,1,0,-1,0],
  [-1,-1,0,1,2,0,0,0,0,-2,1,-1,0,0,-1,2,1,1,1,0,-2,0,0,0,1,-1,-1,0]]]],

[ # Q-class [28][33]
 [[12],
  [6,12],
  [3,6,12],
  [3,6,6,12],
  [1,2,6,6,12],
  [3,6,4,6,6,12],
  [3,6,6,4,6,6,12],
  [1,2,2,6,4,4,2,12],
  [1,2,2,2,6,2,4,2,12],
  [1,2,2,4,4,4,4,2,4,12],
  [6,3,3,6,3,3,2,3,1,2,12],
  [2,1,1,1,3,1,2,1,6,2,2,12],
  [6,3,2,2,0,2,1,1,2,1,4,4,12],
  [3,6,4,4,0,4,2,2,4,2,2,2,6,12],
  [6,3,6,3,3,2,3,1,1,1,6,2,4,2,12],
  [1,2,0,4,6,6,0,4,4,6,2,2,1,2,0,12],
  [6,3,3,2,3,3,6,1,2,2,4,4,2,1,6,0,12],
  [2,4,2,4,2,6,2,4,0,6,2,0,3,6,1,6,1,12],
  [4,2,3,2,2,0,0,1,2,1,4,4,4,2,6,1,0,-1,12],
  [2,1,3,3,6,3,3,2,3,2,6,6,0,0,6,3,6,1,4,12],
  [4,2,3,0,2,1,1,1,3,0,0,6,2,1,6,0,2,0,4,4,12],
  [6,3,3,0,1,1,1,1,1,0,0,2,6,3,6,0,2,1,6,2,6,12],
  [2,1,1,2,3,1,1,2,2,2,4,4,4,2,2,1,2,2,6,6,2,4,12],
  [2,4,4,4,2,2,4,2,2,4,2,1,2,4,2,4,2,6,0,1,1,-1,0,12],
  [2,1,2,1,3,1,1,-1,3,-1,2,6,4,2,4,0,2,0,4,6,6,2,6,1,12],
  [4,2,2,0,2,0,3,1,2,0,0,4,4,2,4,-1,6,1,2,4,6,6,6,2,6,12],
  [1,2,2,2,6,4,2,2,6,6,1,3,1,2,1,4,1,0,3,3,3,2,3,0,2,2,12],
  [2,1,1,1,3,2,1,1,3,3,2,6,2,1,2,2,2,0,6,6,6,4,6,0,4,4,6,12]],
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  [-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0],
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  [-1,1,-1,-1,2,0,-1,0,-1,1,1,0,0,1,-1,-1,1,-1,0,0,1,1,0,1,0,-1,0,-1],
  [0,2,-2,-2,4,1,-2,1,-1,3,0,0,0,2,1,-2,-1,-3,-1,0,0,0,0,1,0,0,-2,0],
  [-1,1,-1,0,1,0,-1,0,0,1,0,-1,1,0,-1,-1,1,0,1,1,1,0,-1,0,0,0,0,-1],
  [-1,1,0,-1,1,0,-1,0,0,1,1,-1,1,0,-2,-1,1,0,1,1,1,0,-1,0,0,0,0,-1],
  [-1,3,-2,-3,5,2,-4,1,-1,4,1,0,0,2,0,-3,0,-4,-1,0,0,1,0,2,0,0,-3,0],
  [-1,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,1,0,0,-2,0,1,0,0,1,0,0,0],
  [0,2,-2,-2,4,1,-3,1,-1,3,0,0,0,2,1,-2,0,-3,-1,0,0,0,0,1,0,0,-2,0],
  [-1,2,-1,-2,3,1,-3,1,0,3,1,-1,0,1,-1,-2,1,-2,0,0,0,1,-1,1,1,0,-2,0],
  [-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0],
  [-1,3,-3,-3,6,2,-4,1,-1,4,1,0,0,2,0,-4,0,-3,0,0,0,1,-1,2,0,0,-3,0]],
 [[-1,-1,1,1,-2,-2,2,-1,0,-2,1,-1,1,-1,-2,2,2,2,1,0,2,0,0,-1,0,-1,2,-1],
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  [-1,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,1,0,0,-1,0,1,-1,0,1,0,0,0],
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  [-1,1,-1,0,1,-1,0,0,0,0,0,-1,1,0,0,0,1,0,0,0,1,0,0,0,0,-1,0,0],
  [-1,-1,1,2,-3,-1,2,-1,1,-2,0,-1,1,-2,-1,2,1,2,1,0,1,0,0,-1,0,0,2,-1],
  [-1,1,-1,-1,2,1,-2,0,0,1,1,0,0,0,0,-1,1,-1,0,-1,0,1,0,1,0,0,-1,0],
  [-1,0,0,0,-1,-1,1,0,0,-1,1,0,0,-1,0,1,1,1,0,-1,0,1,0,0,1,-1,1,0],
  [0,0,0,1,-1,-1,1,0,0,-1,-1,0,1,-1,1,1,0,1,0,0,0,-1,0,-1,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,1,1,0,0,0,-1,0,0,-1],
  [0,-1,1,2,-3,-1,2,-1,1,-3,-1,0,1,-2,1,2,0,2,0,0,0,-1,1,-1,-1,0,2,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0],
  [0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-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],
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  [1,-1,1,1,-2,-1,2,0,0,-2,-1,1,0,-1,2,2,-1,1,-1,-1,-1,-1,1,-1,0,0,1,1],
  [0,-2,1,2,-3,-2,3,-1,0,-3,0,0,0,-1,0,3,1,2,0,-1,1,0,1,-1,0,-1,2,0],
  [0,-2,2,2,-4,-2,3,-1,1,-3,0,-1,1,-2,-1,3,1,3,1,0,1,-1,0,-2,0,0,2,0],
  [0,2,-2,-2,5,1,-3,1,-1,3,0,0,0,2,1,-2,0,-3,-1,-1,0,0,0,1,0,0,-3,1],
  [1,-1,1,1,-3,-1,2,0,1,-2,-1,0,0,-1,2,2,-1,1,-1,0,-1,-1,1,-1,0,0,1,1],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
  [0,0,0,0,0,0,0,0,0,0,1,1,-1,0,1,0,0,0,-1,-2,-1,1,0,0,1,0,0,1],
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  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
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  [0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,0,1,0,1,0,1,-1,0,0,0,0,0,0],
  [0,0,-1,0,1,0,0,0,-1,1,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0],
  [1,0,0,0,0,0,0,0,0,0,-1,1,0,0,2,0,-1,0,-1,0,-2,0,0,0,0,0,0,1],
  [1,0,0,0,0,0,0,0,0,0,-1,1,0,0,2,0,-1,0,-1,-1,-1,-1,1,0,0,0,0,1],
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  [1,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1,0,0,1,0,-1,0,0,-1,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,-1,1,0,0,2,0,-1,0,-1,0,-1,-1,0,0,0,0,0,1],
  [0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,-1,0],
  [1,0,0,0,0,0,0,0,0,0,-1,1,0,0,2,0,-1,0,-1,0,-1,-1,1,0,0,0,0,0],
  [1,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1,0,0,1,0,-2,0,0,-1,1,0,0],
  [1,0,0,0,0,0,0,0,0,-1,-1,1,0,0,2,0,-1,0,-1,0,-1,-1,1,0,-1,0,0,1],
  [1,0,0,0,0,0,0,0,0,0,-1,1,0,0,2,0,-1,0,-1,0,-1,-1,1,0,-1,0,0,1]]]],

[ # Q-class [28][34]
 [[14],
  [6,14],
  [6,6,14],
  [4,2,2,14],
  [6,4,2,2,14],
  [2,4,6,6,4,14],
  [6,2,6,6,6,6,14],
  [4,6,2,6,6,4,2,14],
  [4,2,6,4,2,6,2,6,14],
  [6,6,2,0,2,2,4,2,2,14],
  [2,1,1,7,1,3,3,3,2,0,14],
  [2,1,3,2,1,3,1,3,7,1,4,14],
  [7,3,3,2,3,1,3,2,2,3,4,4,14],
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  [2,3,1,3,3,2,1,7,3,1,6,6,4,2,14],
  [3,7,3,1,2,2,1,3,1,3,2,2,6,6,6,14],
  [2,4,2,2,6,6,4,2,-2,6,1,-1,1,1,1,2,14],
  [1,2,3,3,2,7,3,2,3,1,6,6,2,6,4,4,3,14],
  [1,2,1,1,3,3,2,1,-1,3,2,-2,2,2,2,4,7,6,14],
  [2,0,4,6,2,6,2,2,2,-2,3,1,1,2,1,0,6,3,3,14],
  [2,6,4,-2,4,6,2,2,2,-2,-1,1,1,2,1,3,2,3,1,-2,14],
  [3,2,1,1,7,2,3,3,1,1,2,2,6,2,6,4,3,4,6,1,2,14],
  [3,3,1,0,1,1,2,1,1,7,0,2,6,2,2,6,3,2,6,-1,-1,2,14],
  [1,3,3,1,1,1,2,-1,-1,2,2,-2,2,6,-2,6,3,2,6,2,1,2,4,14],
  [2,6,6,2,2,2,4,-2,-2,4,1,-1,1,3,-1,3,6,1,3,4,2,1,2,7,14],
  [3,1,3,3,3,3,7,1,1,2,6,2,6,6,2,2,2,6,4,1,1,6,4,4,2,14],
  [1,0,2,3,1,3,1,1,1,-1,6,2,2,4,2,0,3,6,6,7,-1,2,-2,4,2,2,14],
  [1,3,2,-1,2,3,1,1,1,-1,-2,2,2,4,2,6,1,6,2,-1,7,4,-2,2,1,2,-2,14]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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[ # Q-class [28][35]
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  [2,1,6,-5,1,-3,6,-4,-2,5,3,2,0,2,2,4,-2,-4,-3,-2,-2,1,-6,-2,3,4,-3,-2],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [1,1,4,-3,0,-2,6,-5,-2,4,4,2,-1,2,2,3,-3,-4,-3,0,-4,2,-4,0,4,2,-2,-3],
  [2,0,3,-2,0,-1,1,1,1,1,-1,1,2,0,0,1,0,-1,-1,-3,2,-1,-2,-3,0,3,-2,0],
  [0,0,-1,1,0,0,-2,1,1,-2,0,0,0,0,0,-1,1,1,0,0,0,0,1,0,0,-1,1,0],
  [1,0,3,-2,0,-1,5,-4,-1,3,3,1,0,1,1,2,-2,-3,-2,0,-3,1,-3,0,3,2,-2,-2]]]],

[ # Q-class [28][36]
 [[28],
  [4,28],
  [9,6,28],
  [9,-5,9,28],
  [1,6,9,2,28],
  [6,2,10,6,10,28],
  [10,3,6,9,-2,-5,28],
  [1,9,2,4,6,1,6,28],
  [6,9,-3,3,-5,-2,9,10,28],
  [-2,9,9,-2,10,6,9,10,6,28],
  [3,4,10,9,9,6,10,10,-1,5,28],
  [10,-2,3,9,6,10,6,-2,9,-5,9,28],
  [-2,10,9,0,9,2,1,10,3,9,9,-3,28],
  [9,3,9,10,5,10,6,6,9,9,4,-1,10,28],
  [9,2,6,1,3,9,5,9,9,10,1,6,9,6,28],
  [4,-1,-1,10,9,10,6,6,2,2,9,9,1,6,9,28],
  [4,5,5,4,6,9,-1,-4,-6,-3,10,6,1,3,3,6,28],
  [10,0,6,10,2,9,3,-2,1,-3,-2,9,-2,-1,6,9,3,28],
  [9,1,-2,2,9,3,9,9,5,6,6,10,6,4,10,10,-5,9,28],
  [10,9,6,4,6,9,-1,3,10,9,4,5,-2,6,6,3,6,9,1,28],
  [9,5,6,2,9,10,-2,-2,2,1,1,9,1,9,5,5,6,-2,0,6,28],
  [9,-2,6,10,-1,4,2,6,9,4,2,9,-5,3,3,2,0,3,2,5,0,28],
  [2,2,2,9,9,5,-2,-6,-1,-1,-1,10,3,4,-6,0,2,1,2,-3,10,4,28],
  [6,10,-2,-1,10,9,2,4,6,9,3,2,9,10,10,9,1,1,9,9,4,-6,6,28],
  [2,5,-1,9,0,1,6,5,10,4,1,9,0,2,3,-1,-1,-2,4,5,9,3,9,-3,28],
  [10,6,6,1,6,4,2,-2,-2,-6,1,9,2,-2,-1,3,9,5,4,-4,9,9,9,-5,2,28],
  [2,9,9,6,10,9,-3,9,6,3,6,9,6,1,-2,-2,1,9,6,10,4,10,6,-1,10,10,28],
  [-1,2,2,5,2,3,4,1,5,9,6,4,9,10,4,-6,9,-6,-1,1,0,4,9,2,10,-3,0,28]],
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  [0,0,0,-1,0,-1,0,0,-1,0,0,1,0,1,0,0,0,1,-1,-1,0,1,-1,1,1,0,0,0],
  [0,2,-3,0,0,-1,1,-1,-3,0,1,2,0,3,3,0,-2,0,-2,1,-1,0,1,-2,-1,0,1,-1],
  [0,2,-3,0,0,-2,-1,-1,-3,2,2,3,-1,4,3,-1,-1,1,-2,-1,-1,0,0,-1,0,0,1,-2],
  [0,0,-1,0,0,-1,0,0,-1,1,1,1,0,1,1,-1,0,1,-1,0,0,0,0,0,0,0,0,-1],
  [0,1,-1,0,0,-1,0,0,-1,0,1,1,-1,1,2,0,-1,0,-1,0,0,-1,1,-1,-1,0,1,0],
  [1,-1,1,0,0,1,0,0,2,0,0,-2,0,-2,-1,0,1,0,1,-1,1,0,0,0,0,-1,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0],
  [0,-1,2,0,0,0,-1,0,2,0,0,-1,0,-1,-2,0,1,1,1,-1,1,0,-1,1,1,0,-1,0],
  [0,3,-5,1,-1,-4,-2,-1,-5,4,3,5,-2,6,5,-1,-3,1,-4,0,-2,-2,1,-2,-1,2,2,-2],
  [-1,-1,2,-1,1,3,2,0,2,-3,-1,-3,2,-3,-2,0,1,0,2,1,1,2,0,0,1,-1,-2,0],
  [1,1,-2,1,-1,-2,-2,0,-2,3,1,3,-1,2,2,0,-2,0,-2,0,-1,-2,0,-1,-1,2,1,0],
  [0,1,-1,1,-1,-2,-1,0,-2,2,0,3,-1,2,1,0,-1,0,-1,0,0,-1,-1,0,-1,1,1,0],
  [0,-1,1,0,0,-1,-2,0,1,1,1,0,0,0,-1,0,0,1,0,-1,0,0,-1,1,1,1,-1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
  [0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,1]],
 [[-2,-5,8,-2,2,6,3,1,8,-7,-3,-8,4,-9,-9,0,4,1,6,0,4,5,-3,5,4,-2,-6,2],
  [-1,0,-1,0,1,1,1,0,0,-1,0,0,1,0,0,-1,0,0,0,1,0,1,0,0,0,0,-1,-1],
  [-1,-2,3,0,1,3,2,0,4,-3,-2,-4,2,-5,-4,0,2,0,3,0,2,2,-1,2,1,-1,-2,1],
  [-1,-4,6,-2,1,4,3,1,6,-5,-3,-6,3,-7,-6,1,3,0,4,0,3,3,-1,3,2,-2,-3,2],
  [0,-1,1,0,0,1,0,0,2,-1,0,-2,0,-2,-1,0,0,0,1,0,1,0,0,1,0,0,0,1],
  [-1,-1,1,-1,1,2,2,0,2,-3,0,-3,1,-2,-1,-1,1,1,1,0,1,2,0,1,1,-1,-1,0],
  [0,-1,2,0,0,2,2,0,2,-2,-2,-2,1,-3,-2,1,1,-2,2,1,1,0,0,0,-1,-1,0,1],
  [0,-3,3,-1,0,2,1,1,3,-2,-2,-3,2,-4,-4,1,2,0,2,0,2,1,-1,2,1,-1,-1,1],
  [0,1,-2,0,0,0,1,0,-2,0,0,2,0,2,2,0,-1,-1,-1,1,-1,-1,1,-2,-1,0,1,-1],
  [0,1,-2,1,-1,-1,0,0,-2,1,0,2,-1,2,2,0,-1,-1,-1,1,-1,-2,1,-1,-2,1,2,0],
  [0,0,0,-1,1,2,3,-1,1,-3,-1,-3,1,-2,0,1,0,-1,1,1,1,1,1,-1,-1,-2,1,1],
  [0,1,-1,0,1,1,2,-1,0,-2,0,-1,0,0,2,0,-1,-1,0,1,0,0,1,-2,-1,-1,1,0],
  [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,-2,3,-1,0,3,2,1,3,-3,-2,-3,2,-4,-4,0,2,0,3,0,2,2,-1,2,1,-1,-2,1],
  [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [0,-3,4,-2,1,2,1,1,4,-3,-1,-4,1,-4,-4,0,2,1,2,-1,2,2,-1,3,2,-1,-2,1],
  [-1,0,1,-1,1,2,2,0,1,-3,-1,-2,1,-2,-1,0,0,0,1,1,1,2,0,0,0,-1,-1,1],
  [-1,-2,2,-1,1,1,1,0,2,-2,0,-2,1,-2,-2,-1,1,1,1,0,1,2,-1,2,2,0,-2,0],
  [0,-1,1,0,0,0,0,0,1,-1,0,-1,0,-1,-1,0,0,0,1,0,1,0,-1,1,0,0,0,1],
  [-2,-1,1,-1,1,2,2,0,1,-3,0,-2,1,-1,-1,-1,0,1,1,1,1,2,0,1,1,0,-2,0],
  [0,-1,1,0,1,2,0,0,3,-1,0,-2,1,-2,-2,-1,1,1,1,-1,1,1,-1,1,1,0,-2,0],
  [-1,-3,5,-1,1,3,2,1,4,-4,-3,-4,2,-5,-5,1,2,0,3,0,2,2,-2,3,2,-1,-2,2],
  [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
  [-1,0,0,-1,0,0,0,0,0,-1,1,0,0,1,0,-1,0,1,0,0,0,1,0,1,1,0,-1,-1],
  [0,1,-2,1,0,0,1,0,-1,0,0,1,0,1,2,0,-1,-1,-1,1,0,-1,1,-2,-2,0,1,0],
  [-1,-4,6,-1,2,4,1,1,7,-4,-2,-6,2,-7,-7,0,3,1,4,-1,3,3,-3,4,3,-1,-4,2],
  [-1,-1,0,0,1,1,1,0,1,-1,0,-1,1,-1,-1,-1,0,1,0,0,1,1,-1,1,1,0,-1,0],
  [0,4,-5,1,-1,-1,2,-1,-5,0,0,3,-1,4,6,1,-3,-3,-2,3,-2,-2,3,-5,-4,0,4,0]]]],

[ # Q-class [28][37]
 [[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],
  [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
  [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
  [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]],
 [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [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],
  [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
  [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
 [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
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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,-1,1,0],
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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,-1,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0],
  [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],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [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],
  [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
  [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]]
];

MakeImmutable( IMFList[28].matrices );