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Project: cocalc-sagemath-dev-slelievre
Views: 418346############################################################################# ## #A imf24.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 24, ## ## [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 24. ## IMFList[24].matrices := [ [ # Q-class [24][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,-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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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]]]], [ # Q-class [24][02] [[2], [-1,2], [0,-1,2], [0,0,-1,2], [0,0,0,-1,2], [0,0,0,0,-1,2], [0,0,0,0,0,-1,2], [0,0,-1,0,0,0,0,2], [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,-1,2], [0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [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,-1,0,0,0,0,2], [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,-1,2], [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,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,-1,-2,-2,-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,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,2,3,4,3,2,1,1,2,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,-2,-2,-1,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-4,-6,-5,-4,-3,-1,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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 [24][03] [[4], [-2,4], [-2,0,4], [2,0,0,4], [2,-2,0,0,4], [2,0,-2,0,0,4], [-1,-1,0,-2,-1,0,4], [-1,2,0,-1,-1,0,1,4], [2,0,0,2,1,1,-1,1,4], [2,0,0,2,1,1,-1,1,2,4], [-2,2,2,0,-1,-1,0,2,0,0,4], [2,-1,0,2,1,1,-2,-1,2,1,0,4], [-2,1,0,-2,-1,-1,2,1,-2,-2,1,-2,4], [1,1,-2,1,0,1,0,0,1,0,-1,0,0,4], [-1,-1,1,0,0,-1,0,-1,0,-1,0,1,-1,-1,4], [1,1,-1,2,-1,1,0,1,1,1,1,0,0,1,-1,4], [1,-2,-1,-1,0,1,2,-1,-1,-1,-1,0,1,0,-1,0,4], [2,-2,-1,0,2,0,-1,-1,0,1,-2,1,-1,-1,0,-1,1,4], [0,-1,1,-1,0,1,0,-1,-1,0,0,0,-1,-2,0,-1,1,1,4], [-1,1,-1,0,-2,0,0,-1,-2,-1,0,-1,1,0,0,0,0,-1,0,4], [0,1,-1,1,-2,1,-1,-1,0,-1,0,1,0,0,0,1,0,-1,0,2,4], [-2,2,1,-1,-1,0,1,1,-1,-1,2,-2,2,0,-1,1,0,-2,0,0,0,4], [-2,1,0,-1,-2,-1,2,1,-1,-1,1,-2,2,0,0,0,0,-2,-1,2,1,1,4], [2,-2,-1,0,2,1,-1,-1,0,1,-2,1,-2,0,0,-1,0,2,1,-1,-1,-2,-2,4]], [[[-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,-1,0,0,0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0], [2,1,1,0,0,0,0,1,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [-2,0,-1,2,1,1,0,1,0,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0], [-4,-2,-1,2,1,1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [-2,-1,-1,3,1,1,0,2,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [3,0,0,-2,-1,-1,0,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0], 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[-1,2,0,-1,-1,-1,0,0,4], [0,-2,1,0,1,0,0,1,0,4], [-1,0,1,-1,0,0,-1,-1,0,0,4], [0,-1,0,0,1,1,0,-1,-1,1,-1,4], [1,1,-1,1,0,-1,1,1,0,-1,0,-2,4], [0,1,-1,0,1,1,0,-1,0,-1,0,-1,1,4], [-1,0,-1,0,-1,2,-2,-1,0,0,1,0,-1,1,4], [0,-1,1,0,-1,-1,-1,2,0,1,-1,-1,-1,-1,0,4], [-1,0,2,0,-1,0,-1,1,1,0,0,-1,-1,0,1,1,4], [1,0,0,0,1,-1,1,-1,0,0,-1,2,-1,-2,-2,-1,-1,4], [1,0,-1,0,-2,1,1,0,1,0,-2,1,-1,-1,0,0,0,1,4], [-1,-1,1,0,1,2,0,-1,-1,1,1,2,-1,0,1,-1,0,0,-1,4], [0,2,0,-1,-1,0,0,-1,2,-2,1,-1,1,1,0,-2,1,0,0,0,4], [2,-1,-1,-1,1,0,-2,-1,-1,0,0,-1,1,2,1,0,0,-1,-1,-1,0,4], [-1,0,2,0,1,-2,1,1,1,1,1,-1,0,-1,-2,0,1,1,-1,-1,0,-1,4], [-1,0,-1,-2,0,1,-2,-2,1,0,1,1,-2,0,2,0,0,0,0,1,0,0,-1,4]], [[[0,0,-1,1,0,0,0,-1,0,0,0,1,0,-1,-1,1,0,-2,0,1,1,1,1,0], [0,0,1,0,1,0,-1,0,-1,0,-1,-1,0,0,1,0,-1,0,1,0,1,-1,1,0], [0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,-1,0,1,1,0,1,1,1] , [0,0,0,1,-1,1,-1,0,1,0,0,0,-1,0,-2,-1,0,0,-1,0,-1,1,0,0], [0,-1,-2,0,-2,0,0,0,3,-1,1,0,-2,0,-2,-2,1,0,-2,1,-3,1,-1,-2], 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[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [24][06] [[4], [0,4], [1,0,4], [-2,2,1,4], [0,1,-2,-1,4], [-2,1,-2,1,2,4], [0,-2,0,-2,0,-1,4], [1,-2,2,-1,-2,-2,2,4], [-2,0,0,2,0,2,-2,-1,4], [1,0,0,0,-2,-2,0,1,-2,4], [0,2,1,2,-1,-1,-2,0,0,2,4], [-2,0,-2,0,2,2,0,-1,2,-2,-1,4], [0,0,1,0,0,0,0,1,0,-1,0,0,4], [0,0,0,0,1,1,0,0,0,0,0,0,0,4], [-1,0,0,1,0,0,0,0,0,0,1,0,1,0,4], [0,0,-1,0,1,1,0,-1,0,0,0,0,-2,2,1,4], [0,-1,0,-1,0,0,0,0,0,0,-1,0,0,1,-2,-1,4], [0,-1,0,-1,0,0,1,0,0,0,-1,0,-2,1,-2,1,2,4], [0,0,0,0,0,-1,0,0,0,0,0,0,0,-2,0,-2,0,-1,4], [-1,0,0,1,0,0,0,0,1,-1,0,1,1,-2,2,-1,-2,-2,2,4], [0,0,0,0,0,0,0,-1,0,0,0,0,-2,0,0,2,0,2,-2,-1,4], [1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,-2,-2,0,1,-2,4], [0,0,-1,0,1,1,0,0,0,0,0,1,0,2,1,2,-1,-1,-2,0,0,2,4], [0,0,0,0,0,0,0,-1,0,0,-1,0,-2,0,-2,0,2,2,0,-1,2,-2,-1,4]], [[[0,0,-1,1,0,-1,0,0,0,-1,0,0,0,0,1,-1,0,1,0,-1,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,1,-1,0,1,0,1,0,0,-1,0,0,1], [0,0,-2,1,0,-1,0,1,0,-1,0,-1,0,1,0,-1,0,0,0,0,1,0,0,0], 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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], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][12] [[4], [-2,4], [0,-2,4], [0,0,-2,4], [0,0,0,-2,4], [0,0,-2,0,0,4], [0,0,0,0,0,0,4], [0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,-2,0,0,4], [-2,1,0,0,0,0,2,-1,0,0,0,0,4], [1,-2,1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,1,-2,1,0,1,0,-1,2,-1,0,-1,0,-2,4], [0,0,1,-2,1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,0,0,1,-2,0,0,0,0,-1,2,0,0,0,0,-2,4], [0,0,1,0,0,-2,0,0,-1,0,0,2,0,0,-2,0,0,4], [-2,1,0,0,0,0,2,-1,0,0,0,0,2,-1,0,0,0,0,4], [1,-2,1,0,0,0,-1,2,-1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,1,-2,1,0,1,0,-1,2,-1,0,-1,0,-1,2,-1,0,-1,0,-2,4], 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[-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,-1], [1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,-1,-1,1,0,0,-1,0,-1,1], [1,1,1,-1,0,1,1,0,0,-1,-1,0,0,0,1,0,0,-1,0,0,-2,-1,-2,1], [-1,0,2,0,0,0,-1,-1,2,1,0,-1,-1,0,0,2,-1,-1,1,0,0,1,0,1], [1,0,0,0,1,1,0,0,-1,0,0,1,1,0,1,-1,0,0,-1,1,-1,0,0,0], [0,0,0,-1,-2,0,1,0,0,-1,0,-1,0,0,0,0,1,0,0,0,0,-1,-1,1], [0,0,-1,0,1,0,0,1,-1,0,-1,0,0,1,0,-1,1,0,-1,0,0,0,0,-2], [0,1,1,-1,-1,1,0,0,1,0,0,-1,-1,0,0,1,0,-1,0,0,-1,-1,-1,1], [0,-2,0,0,0,0,-1,-1,0,1,1,0,1,0,-1,0,-1,0,-1,1,1,0,1,1], [0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0], [0,1,0,0,0,0,1,1,-1,0,0,0,-1,0,0,-1,1,0,0,0,0,0,-1,-1], [0,0,-2,0,0,0,0,1,0,0,0,-1,0,1,-1,-1,1,1,-2,0,0,-1,0,-1], [-1,0,0,1,1,-1,0,0,0,1,1,1,0,-1,0,0,0,0,1,0,1,1,2,-1], [0,0,1,-2,-1,1,0,-1,1,-1,0,-1,0,-1,0,1,0,-2,0,0,-1,-2,0,2], [-1,0,2,0,1,0,-1,-1,1,1,1,0,-1,-1,0,1,-1,-2,1,1,0,1,1,1], [-1,-1,0,1,0,-1,-1,0,1,1,1,0,0,0,-1,0,-1,1,0,0,1,1,1,0], [0,1,1,0,0,0,0,0,1,1,0,0,-1,0,0,1,-1,0,1,-1,0,1,-1,0], [0,-1,0,1,1,0,0,-1,0,1,1,1,1,0,0,0,-1,1,0,1,0,1,1,0], [1,-1,-2,1,1,0,0,1,-1,0,0,1,1,1,-1,-2,0,2,-2,0,0,0,0,-1]], [[0,-1,-1,0,0,0,1,0,-1,-1,0,0,1,1,0,-1,1,2,-2,1,-1,0,0,-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], [0,0,0,0,1,0,-1,0,0,0,0,0,0,0,-1,0,-1,0,-1,0,0,0,0,0], [0,0,2,0,0,0,0,-1,0,0,-1,0,0,0,1,1,-1,-1,1,0,0,1,-1,1], [0,0,-2,1,1,-1,-1,1,-1,1,0,1,0,0,-1,-1,0,1,0,-1,2,1,1,-2], [0,0,0,1,0,-1,-1,0,1,2,1,0,-1,-1,-1,0,-1,0,1,-1,2,1,1,0], [0,0,-1,0,0,-1,0,1,0,1,0,-1,-1,0,-1,0,1,0,0,-1,2,0,0,-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,-2,0,0,0,0,1,-1,-1,0,0,0,1,-1,-2,1,1,-2,0,0,-1,0,-1], [0,1,2,-1,0,1,0,-1,0,0,0,0,0,-1,1,1,-1,-2,1,1,-1,0,-1,2], [1,-1,-1,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,1,-1,-1,0,0,0,-1], [0,1,1,0,0,1,0,0,0,0,1,0,-1,0,0,0,0,-1,0,1,-1,0,-1,1], [2,-1,-1,0,0,1,0,0,0,-1,-1,0,2,1,0,-1,-1,1,-2,0,-1,-1,-1,1], [1,0,0,0,1,1,-1,0,0,1,0,0,0,0,-1,0,-1,0,-1,0,0,0,0,0], [-1,1,1,0,0,-1,0,0,0,1,0,1,-1,-1,1,1,0,-1,3,-1,1,1,1,-1], [0,1,1,0,-1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,-1,0,-1,1], [0,0,1,1,1,0,-1,-1,0,1,1,1,0,0,0,0,-2,0,0,1,0,2,0,1], [-1,1,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,0,0,1,0,0,0,1,0], [1,-2,-2,0,0,1,0,0,-1,-1,0,0,2,1,-1,-2,0,2,-3,1,-1,-1,0,0], [0,0,-2,-1,-1,1,1,1,-1,-2,0,-1,0,1,-1,-2,2,1,-2,1,-2,-2,-1,0], [0,0,-2,1,0,-1,-1,1,0,1,1,0,-1,0,-2,-1,0,1,0,-1,2,0,1,-1], [0,-1,0,1,0,-1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0], [-1,1,1,0,1,-1,0,0,0,1,0,0,-1,-1,0,1,0,-1,1,0,1,1,1,-1], [-1,1,1,1,1,-1,-1,0,0,2,1,1,-1,-1,0,1,-1,-1,2,0,2,2,1,0]]]], [ # Q-class [24][18] [[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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0], 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[-1,0,0,-1,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,1,1,-1,0,0,0,1,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,0,0,0,0,0,0,-3,1,2,-1,1,-2,1,1,2,-3,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,-1,0,-2,1,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,-2,0,1,0,0,-1,1,0,1,-1,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-1,0,-1,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,1,-1,0,-2,1,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,0,-1,0,0,0] , [0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-1,0,-1,1,0,1,-1,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,1,0,1,-1,0,-1,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,-1,1,0,-1,-1,2,0,-2], [0,0,0,0,0,0,0,0,0,0,0,0,2,-2,-2,2,-1,1,0,-2,-1,2,1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,1,-1,0,0,0,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][25] [[6], [0,6], [1,0,6], [-2,-1,-1,6], [-3,0,0,1,6], [1,-1,0,0,-1,6], [-1,-2,1,0,2,-1,6], [-1,0,-2,1,0,2,-2,6], [0,1,-1,0,-2,0,-2,0,6], [-2,-1,0,0,1,-1,3,-2,-2,6], [1,-1,1,-1,1,-1,3,-3,-3,3,6], [0,2,-2,0,0,0,-2,1,3,-2,-2,6], [-2,-1,0,1,2,1,2,1,-3,2,1,-3,6], [1,-1,0,0,-1,-1,-1,0,0,-1,0,1,-2,6], [1,-1,-1,1,0,0,1,0,0,-1,0,1,-2,-1,6], [-1,-1,-2,0,1,-1,1,0,0,2,0,2,-1,0,3,6], [2,-1,2,0,-1,0,3,-2,-1,1,2,0,0,1,1,1,6], [0,1,1,0,0,3,-3,3,-1,-2,-2,-1,1,0,-2,-3,-3,6], [-2,0,-1,-1,1,0,0,2,2,0,-3,1,0,-1,-1,2,-1,0,6], [0,1,-1,0,1,2,-1,2,0,-2,-1,3,0,1,2,1,0,1,-1,6], [-2,0,-2,2,0,0,0,2,0,1,-1,0,3,0,-2,-1,0,0,0,0,6], [0,-3,1,3,0,1,1,1,0,-1,-1,1,0,2,1,1,3,-1,0,1,1,6], [0,2,-1,-1,0,1,-3,2,2,-3,-3,2,-2,-1,0,0,-2,2,3,0,0,-1,6], [0,0,-1,1,-2,-2,-1,-1,3,0,-1,0,0,0,-2,-1,0,-2,1,-3,3,0,1,6]], [[[0,0,0,0,0,0,1,0,-1,0,0,0,-1,0,0,0,0,1,0,1,0,0,0,2], [0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,-1,0,-2,0,0,0,0,1,-1], 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[3,-1,2,0,1,-2,-1,0,-3,-1,-2,4,1,1,-2,-2,-1,1,1,3,1,-2,1,-3], [-2,0,-2,2,0,-2,2,1,0,-1,-2,2,-1,0,-2,0,1,1,1,2,2,0,0,0], [-2,0,-2,1,0,-1,2,1,0,-1,-1,1,-1,0,-1,0,1,1,1,1,1,0,0,0], [0,-1,0,2,1,-4,1,2,-2,-1,-3,5,-1,1,-4,-2,1,2,2,4,2,-2,1,-2], [0,-1,1,2,0,-1,0,0,-2,0,-2,3,-1,1,-1,-1,0,0,1,2,2,-2,2,-2]]]], [ # Q-class [24][27] [[6], [0,6], [-3,3,6], [-3,3,3,6], [2,0,-1,-1,6], [0,2,1,1,0,6], [-1,1,2,1,-3,3,6], [-1,1,1,2,-3,3,3,6], [0,0,0,0,2,0,-1,-1,6], [0,0,0,0,0,2,1,1,0,6], [0,0,0,0,-1,1,2,1,-3,3,6], [0,0,0,0,-1,1,1,2,-3,3,3,6], [-2,0,1,1,2,0,-1,-1,2,0,-1,-1,6], [0,-2,-1,-1,0,2,1,1,0,2,1,1,0,6], [1,-1,-2,-1,-1,1,2,1,-1,1,2,1,-3,3,6], [1,-1,-1,-2,-1,1,1,2,-1,1,1,2,-3,3,3,6], [2,0,-1,-1,0,0,0,0,2,0,-1,-1,-2,0,1,1,6], [0,2,1,1,0,0,0,0,0,2,1,1,0,-2,-1,-1,0,6], [-1,1,2,1,0,0,0,0,-1,1,2,1,1,-1,-2,-1,-3,3,6], [-1,1,1,2,0,0,0,0,-1,1,1,2,1,-1,-1,-2,-3,3,3,6], [-2,0,1,1,-2,0,1,1,2,0,-1,-1,0,0,0,0,2,0,-1,-1,6], [0,-2,-1,-1,0,-2,-1,-1,0,2,1,1,0,0,0,0,0,2,1,1,0,6], [1,-1,-2,-1,1,-1,-2,-1,-1,1,2,1,0,0,0,0,-1,1,2,1,-3,3,6], [1,-1,-1,-2,1,-1,-1,-2,-1,1,1,2,0,0,0,0,-1,1,1,2,-3,3,3,6]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0], [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,-1,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,-1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,-1], [0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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], [0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,-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,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,1,0,1,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,1,0,0,-1,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,-1,0,-1,0,1,0,-1,0,1,0,0,0,0], [0,0,0,0,1,0,1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,1,0], [0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,-1,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,-1,0,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,-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], [0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-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], [0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][28] [[8], [1,8], [0,-1,8], [-1,-2,0,8], [-2,0,-1,-1,8], [1,2,2,1,-4,8], [1,-1,2,0,1,-2,8], [-2,2,-2,1,-1,2,-4,8], [0,1,-2,0,2,0,-1,1,8], [2,1,1,-1,-1,1,-1,2,2,8], [-2,1,1,-1,1,1,2,2,2,2,8], [-1,1,-1,2,2,-2,2,-1,2,-1,-1,8], [-4,0,0,2,-2,1,-2,1,0,0,0,0,8], [-4,-2,0,1,0,1,-2,4,2,2,2,0,2,8], [-1,1,2,0,-1,0,2,-2,0,0,0,2,2,-1,8], [-2,2,2,-2,0,1,0,0,0,2,2,0,4,0,1,8], [-1,-1,0,1,-1,-1,2,-2,-1,-4,0,1,0,-1,4,-1,8], [2,2,-4,-2,2,-1,-2,1,2,-1,-1,-1,-4,-1,0,-4,2,8], [1,-2,0,1,0,2,-2,0,1,-2,-2,-2,-2,1,-4,-2,-2,0,8], [0,-1,-1,1,0,-4,1,-2,-2,-2,-2,-2,0,-2,0,-2,2,1,-1,8], [0,-2,-1,1,1,-2,0,0,0,0,-4,1,-2,2,1,-4,-1,2,1,2,8], [0,1,2,-2,0,2,1,1,4,4,4,1,0,2,0,4,-2,-2,-1,-4,-2,8], [0,0,-1,0,4,0,-1,0,4,1,1,2,0,2,-2,0,-2,1,1,-4,-1,2,8], [2,2,0,-1,-4,4,-2,0,-1,2,-1,-1,2,-1,2,2,0,0,-2,-2,-1,1,-2,8]], [[[0,-1,1,-1,-1,0,1,1,-1,1,1,2,2,-1,0,0,0,2,2,1,0,0,1,0], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0], [1,0,1,0,0,0,0,0,0,0,1,1,1,0,-1,1,0,1,0,0,1,-1,0,0] , [0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,-1,-1,0,0,-1,0,0], [0,1,-1,1,0,-1,0,-1,0,-1,-1,-2,-1,1,0,0,0,-1,-1,-1,0,1,0,0], [0,0,1,-1,0,0,0,1,0,1,1,1,1,-1,-1,0,1,0,1,0,1,-1,0,0], [0,0,0,1,-1,-1,0,0,0,-1,0,0,-2,1,1,1,-1,0,0,1,-1,0,1,1], [0,0,0,-1,1,1,0,1,0,1,0,0,1,-1,-1,-1,2,-1,0,0,1,0,0,0], [-1,0,1,-1,0,0,1,1,-1,1,1,1,2,-2,-1,-1,1,1,2,1,1,1,1,1], [0,-1,1,-1,0,0,1,2,0,0,0,1,1,-1,0,0,0,1,1,1,0,0,1,1], [0,0,0,0,0,0,0,1,0,-1,0,0,-1,0,0,0,0,-1,0,1,0,0,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0], [0,0,0,0,0,0,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,1,0,0,0] , [0,1,0,0,1,0,0,0,1,0,-1,-1,0,0,-1,-1,1,-1,-1,-1,0,0,-1,0], [-1,-1,1,0,-1,0,1,1,-1,1,1,2,1,-1,0,1,-1,3,2,2,0,0,1,1], [1,0,0,0,0,0,-1,0,0,-1,1,0,0,0,0,1,0,0,0,0,1,0,0,0], [0,0,0,1,0,0,0,-1,0,0,0,0,0,1,0,0,-1,1,0,0,-1,0,-1,0], [-1,0,0,0,0,0,1,0,-1,1,-1,0,1,0,0,-1,0,1,1,0,-1,1,0,0], [0,1,0,0,0,0,0,-1,1,0,0,-1,0,0,-1,0,1,-1,-1,-2,1,-1,-1,-1], [0,0,-1,1,0,0,0,-1,0,-1,-1,-1,-2,2,2,0,-2,0,-1,0,-2,0,0,0], 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[1,1,-1,1,1,0,-1,-2,1,-1,-1,-2,-1,2,0,0,0,-2,-2,-2,0,0,-2,-1], [0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,-1,1,-1,0], [1,1,0,1,0,-1,-1,-1,1,-1,-1,-2,-1,1,0,0,0,-1,-2,-2,0,0,-1,-1], [0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,1,0,0,-1,0,-1,0], [-1,-1,0,0,-1,0,1,1,0,0,0,1,-1,0,1,1,-1,1,1,2,-1,0,1,1], [0,-1,0,-1,0,1,0,1,-1,1,1,1,1,-1,0,0,1,0,1,1,1,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,1,1,0,0,0,0,-1,0,-1,1,1,0,0,-1,0,1,-1,0,0,0], [0,1,0,1,0,-1,-1,-1,1,-1,-1,-2,-2,1,0,0,0,-2,-2,-1,0,0,0,0], [0,0,0,0,0,0,0,0,1,-1,-1,-1,-1,1,1,0,-1,-1,-1,0,-1,0,0,0], [0,0,1,0,0,0,0,0,0,1,1,1,1,-1,-1,0,1,1,1,0,1,0,0,0]]]], [ # Q-class [24][29] [[6], [2,6], [2,2,6], [-2,2,0,6], [-2,0,2,2,6], [0,-2,2,-2,2,6], [3,1,1,-1,-1,0,6], [1,3,1,1,0,-1,2,6], [1,1,3,0,1,1,2,2,6], [-1,1,0,3,1,-1,-2,2,0,6], [-1,0,1,1,3,1,-2,0,2,2,6], [0,-1,1,-1,1,3,0,-2,2,-2,2,6], [0,0,0,0,0,0,0,0,0,0,0,0,6], [0,0,0,0,0,0,0,0,0,0,0,0,2,6], [0,0,0,0,0,0,0,0,0,0,0,0,2,2,6], [0,0,0,0,0,0,0,0,0,0,0,0,-2,2,0,6], 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[1,-1,1,2,0,-1,4], [0,0,1,0,0,1,0,4], [-1,1,0,-1,0,0,1,-1,4], [2,0,0,0,2,0,1,0,0,4], [-1,0,2,2,-1,0,2,0,1,1,4], [1,0,-1,-1,1,1,1,1,2,2,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,4], [0,0,0,0,0,0,0,0,0,0,0,0,-2,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,-2,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,2,0,-1,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,0,0,1,-1,4], [0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,2,-1,0,2,0,1,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,-1,1,1,1,1,2,2,1,4]], [[[-1,0,-2,-1,0,0,1,1,0,1,1,-2,0,0,0,0,0,0,0,0,0,0,0,0], [1,-2,1,0,2,-1,-2,0,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,1,1,0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-2,0,0,2,-1,-2,1,1,-1,2,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], 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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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][37] [[4], [0,4], [-2,2,4], [-2,2,2,4], [2,0,-1,-1,4], [0,2,1,1,0,4], [-1,1,2,1,-2,2,4], [-1,1,1,2,-2,2,2,4], [2,0,-1,-1,2,0,-1,-1,4], [0,2,1,1,0,2,1,1,0,4], [-1,1,2,1,-1,1,2,1,-2,2,4], [-1,1,1,2,-1,1,1,2,-2,2,2,4], [2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,4], [0,2,1,1,0,2,1,1,0,2,1,1,0,4], [-1,1,2,1,-1,1,2,1,-1,1,2,1,-2,2,4], [-1,1,1,2,-1,1,1,2,-1,1,1,2,-2,2,2,4], [2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,4], [0,2,1,1,0,2,1,1,0,2,1,1,0,2,1,1,0,4], 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[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,1,0,-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,-1,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0], [0,0,0,0,1,-1,0,1,0,0,0,0,-1,1,0,-1,1,-1,0,1,0,0,0,0], [-1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0], [0,-1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0], [0,0,-1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,-1,0], [1,-1,0,1,0,0,0,0,-1,1,0,-1,-1,1,0,-1,0,0,0,0,1,-1,0,1]]]], [ # Q-class [24][40] [[12], [-2,12], [2,0,12], [2,-4,-1,12], [-1,3,1,-2,12], [6,-1,-1,1,-2,12], [-2,1,0,-2,2,-2,12], [1,-6,0,4,0,0,0,12], [-4,-2,-3,2,-3,1,2,1,12], [1,2,6,0,4,0,-2,-2,-5,12], [-4,0,-6,-1,3,0,1,2,-1,0,12], [-2,-4,0,-1,-3,-2,-2,4,3,2,1,12], [-3,2,-2,-2,-2,-2,4,-1,4,-3,-2,-1,12], [3,-3,-1,6,0,3,-4,4,2,0,-1,2,-6,12], [1,4,2,2,3,-1,2,-6,-3,6,-2,-4,-1,2,12], [0,0,-4,2,-2,3,1,4,6,-3,3,3,0,4,-3,12], [0,1,2,2,0,0,-5,1,-1,4,0,2,-2,6,4,2,12], 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[0,0,1,0,0,1,0,0,-1,-1,0,0,0,0,1,-1,0,0,0,0,0,-1,-1,1], [0,-1,1,0,0,1,0,0,-1,0,0,-1,0,0,1,0,0,1,-1,-1,0,-2,0,2], [1,0,-1,0,0,-1,0,1,1,1,0,0,-1,-1,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,1,0,-1,1,1,0,1,1,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,1], [1,0,0,0,0,0,0,-1,0,0,1,1,1,1,-1,0,1,-2,-1,1,2,1,0,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,1,0], [0,0,0,0,-1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,-1], [1,0,0,0,-1,0,0,0,1,0,1,0,0,0,0,-1,1,-1,-1,0,1,0,0,-1], [0,-1,0,-1,-1,1,0,1,0,1,-1,-1,-1,0,1,0,0,0,-1,-1,1,-2,0,1], [0,0,1,0,0,0,-1,1,0,-1,1,0,0,0,1,0,-1,0,0,1,1,0,0,0], [-1,1,0,0,1,-1,0,-1,0,0,0,0,1,0,-1,1,-1,0,2,1,-2,2,0,0], [0,0,-1,0,0,0,0,1,0,0,-1,0,-1,-1,1,0,0,1,0,-1,-1,-1,0,1], [0,-1,1,-1,1,0,-1,0,-1,0,0,-1,0,0,1,1,-1,0,0,1,0,-1,0,2]], [[0,1,0,1,1,-1,0,-1,0,-1,1,1,1,-1,-1,1,0,0,1,1,-1,2,0,-1], [0,0,0,0,1,-1,-1,0,1,-1,1,1,0,0,0,1,-1,-1,1,2,1,2,1,-2], [0,0,0,-1,-1,0,-1,1,0,0,1,0,1,1,1,0,0,0,-2,0,1,0,-1,-1], 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[0,0,0,1,0,0,1,0,0,0,-1,0,-1,0,0,-1,0,0,1,-1,0,-1,0,0], [0,1,0,1,0,-1,1,-1,0,0,1,0,1,1,-2,0,0,1,0,0,-1,1,0,-1], [0,-1,0,-1,0,0,-1,0,0,0,0,0,0,1,0,1,0,-1,-1,1,2,0,0,-1], [0,0,1,0,-1,1,1,0,-1,0,-1,-1,0,1,1,-2,0,1,-1,-2,-1,-3,-2,2]]]], [ # Q-class [24][41] [[4], [0,4], [1,1,4], [0,2,-1,4], [1,1,2,-1,4], [0,2,0,2,0,4], [1,2,1,1,0,2,4], [1,1,-1,0,0,-1,1,4], [1,-1,0,0,1,-1,-1,0,4], [-1,0,1,0,-1,-1,0,-1,0,4], [0,-1,1,-2,0,-2,0,0,1,1,4], [-1,-2,-2,-1,-1,0,-2,-1,0,-1,0,4], [1,1,0,0,1,1,0,1,-1,-2,-1,0,4], [1,-1,0,-1,0,-2,0,1,1,0,1,-1,0,4], [1,0,0,1,-1,0,0,0,0,0,-1,-1,0,0,4], [-1,-1,-1,0,-2,-1,-1,0,0,0,1,1,0,1,1,4], [2,0,2,0,2,0,1,0,1,0,0,-1,0,0,0,-2,4], [1,1,2,0,1,-1,1,1,-1,1,0,-2,0,1,0,0,1,4], [-1,1,-1,2,0,1,-1,-1,0,-1,-2,0,1,0,1,1,-1,-1,4], [2,2,1,1,0,1,2,1,0,0,0,-1,1,1,1,0,1,1,0,4], [1,-1,-1,0,0,1,1,0,0,-2,-1,1,0,1,-1,0,0,0,0,0,4], [-1,-1,-1,0,0,1,-1,-1,1,-1,-1,2,-1,-2,-1,-1,0,-2,0,-2,1,4], [2,-1,2,-1,0,-1,1,0,1,1,2,-1,-1,1,0,0,2,1,-2,1,0,-1,4], [1,-2,-1,0,-1,-1,0,0,2,1,1,0,-1,1,1,0,1,-1,-1,0,0,0,1,4]], [[[0,1,-1,-2,-2,0,0,-1,2,0,0,-1,0,-1,0,0,2,0,0,0,1,-1,-1,-1], [0,1,0,1,-1,-1,1,-1,1,0,0,1,1,1,1,-1,0,0,-1,-1,0,0,0,-1], [1,2,-1,-1,-1,0,1,-1,1,1,0,1,1,1,1,0,1,0,0,-2,0,0,0,-1], [-1,1,0,0,-1,-1,0,-1,1,-1,-1,0,0,0,0,-1,0,0,-1,0,0,-1,0,0], [0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,-1,0,0,1,0], [0,0,-1,-1,-2,-1,0,-2,1,-1,-1,-2,0,-1,-1,0,1,0,-1,1,0,-1,-1,-1], [0,0,0,0,-1,-1,1,-1,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,-1], [0,-1,2,2,1,-1,1,1,0,0,0,1,0,0,0,0,-1,-1,0,0,0,0,0,0], [-1,2,-1,-1,0,0,-1,-1,0,-1,-1,-1,0,0,0,1,1,0,-1,0,0,0,1,1], [0,1,-2,-1,-1,0,0,-1,1,0,1,0,1,0,1,-1,1,1,0,-1,0,0,0,-1], [0,1,-1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,-1,0,1,1,0], [0,-3,0,0,1,1,-1,1,-1,0,0,-2,-1,-1,-1,1,0,0,0,2,0,0,-1,0], [0,0,1,0,-1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,1,-1,-1,0], [0,1,1,0,1,0,0,1,-1,0,0,1,0,0,0,0,-1,0,1,0,0,1,1,2], [0,1,1,0,-1,1,-1,1,0,1,2,1,0,1,1,-1,1,0,1,-1,1,0,-1,0], [0,1,2,1,1,0,0,1,-1,0,0,2,0,1,0,0,-1,0,0,-1,0,0,0,2], [0,0,0,-1,-1,2,-1,1,1,1,1,0,0,0,1,-1,1,0,1,-1,1,-1,0,-1], [1,0,1,1,1,-1,2,0,0,0,-1,2,0,1,0,0,-1,-1,0,-1,-1,0,0,0], [-1,2,2,1,0,0,-1,1,-1,0,0,2,0,1,1,-1,-1,0,0,-1,1,0,1,2], [0,0,0,0,-1,0,0,0,1,1,1,0,1,0,1,-1,1,0,0,0,1,0,-1,-1], [0,-2,1,0,1,-1,1,0,-1,-1,-2,-1,-1,-1,-2,1,-1,-1,0,2,-1,0,0,1], [0,-2,-1,0,1,-1,0,-1,-1,-1,-2,-3,-1,-1,-2,2,0,-1,-1,2,-1,0,0,0], [0,2,-1,-2,-2,1,0,0,2,1,1,1,1,0,1,-1,2,1,1,-2,1,-1,0,-1], [-1,0,-1,-1,0,1,-2,0,0,0,1,-2,0,-1,0,0,1,0,0,1,1,0,0,0]], [[0,0,-1,-1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0], [-1,-1,2,2,2,1,-1,2,-2,0,0,1,-1,1,0,0,-1,-1,0,0,0,0,1,1], [0,-2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [0,-1,2,2,2,0,-1,1,-2,0,-1,0,-1,1,-1,1,-1,-2,-1,1,0,0,0,1], [-1,1,1,0,0,1,-1,1,0,0,1,1,0,0,1,-1,0,1,1,-1,1,0,1,1], [-1,-1,1,2,2,0,-1,1,-2,0,0,0,0,1,0,0,-1,-1,0,1,0,1,1,1], [0,-3,0,2,3,0,0,1,-2,0,0,-1,-1,0,-1,1,-1,-1,0,2,-1,1,0,0], [0,1,0,-1,0,0,0,0,0,-1,-1,0,-1,-1,-1,1,0,0,0,0,0,-1,0,1], [0,1,-1,-2,-2,0,0,-1,2,0,0,-1,0,-1,0,0,2,0,0,0,1,-1,-1,-1], [1,0,-1,0,-1,0,1,-1,1,0,0,0,0,1,0,0,1,0,-1,-1,-1,0,-1,-2], [1,-1,-1,-1,-1,0,1,0,1,1,1,-1,0,-1,0,0,1,0,1,0,0,0,-1,-2], [0,2,-1,-2,-2,1,-1,0,1,1,1,0,1,0,1,-1,1,1,1,-1,1,0,0,0], [-1,1,0,-1,-1,0,-1,0,0,-1,0,0,0,-1,0,-1,0,1,1,0,1,-1,1,1], [1,-2,-1,-1,0,-1,1,-1,0,-1,-1,-2,-1,-2,-2,1,0,0,0,2,-1,0,-1,0], [0,-1,1,1,1,-1,2,0,0,0,-1,2,0,1,0,0,-1,0,0,0,-1,0,0,0], [1,-2,0,0,0,-1,1,0,0,1,-1,-1,0,-1,-1,1,0,-1,0,1,0,0,-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], [1,-2,1,1,1,1,0,1,-1,0,0,0,-1,0,-1,1,0,0,0,0,-1,0,-1,0], [-1,0,1,1,1,-1,-1,0,-1,0,-1,0,0,0,0,0,-1,-1,-1,1,1,0,1,1], [0,-2,0,0,1,1,0,1,-1,0,0,0,-1,0,-1,0,0,0,1,1,-1,0,0,0], [0,-1,-1,0,1,0,-1,0,-1,0,0,-2,0,-1,-1,1,0,0,0,2,0,1,0,1], [-1,2,-1,-1,-1,0,-1,-1,1,0,0,-1,1,0,1,0,1,0,-1,0,1,0,0,0], [1,-2,-2,-1,0,0,1,-1,1,0,0,-2,0,-1,-1,1,1,0,0,1,-1,0,-1,-2], [1,1,-1,-1,-1,-1,1,-1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,-1]]]], [ # Q-class [24][42] [[4], [1,4], [0,1,4], [1,0,1,4], [1,1,1,1,4], [0,1,2,1,1,4], [1,0,1,2,2,2,4], [0,1,2,1,1,2,1,4], [1,1,1,1,0,1,1,2,4], [1,1,1,1,2,1,1,1,0,4], [1,1,1,1,2,2,2,2,1,1,4], [1,1,1,1,0,2,2,1,1,0,1,4], [1,1,1,1,1,2,2,1,0,1,2,2,4], [2,1,0,1,1,1,2,0,1,1,2,1,2,4], [2,1,0,1,2,1,2,1,0,1,2,1,2,2,4], [1,2,1,0,1,1,1,1,1,0,1,2,1,1,1,4], [1,1,1,1,1,1,2,0,0,0,1,2,1,1,1,1,4], [1,2,1,0,1,1,0,1,2,0,1,1,0,0,0,2,1,4], [0,1,2,1,1,1,1,1,1,0,1,1,1,1,0,2,1,1,4], [1,2,1,0,2,0,0,0,0,2,1,0,1,1,1,1,1,2,1,4], [1,1,1,1,2,0,1,0,1,0,1,0,0,1,0,1,2,2,2,2,4], [1,1,1,1,2,1,2,0,0,0,2,1,1,2,1,1,2,1,1,1,2,4], [1,0,1,2,2,1,2,1,0,1,2,1,1,1,2,0,1,0,1,1,1,2,4], [1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,2,1,1,2,0,1,2,1,4]], [[[0,-1,-1,0,-2,1,-1,0,1,2,0,0,0,-3,3,0,0,-1,2,0,1,3,-2,-1], [1,0,0,0,1,1,2,1,-1,-3,0,0,-1,1,-2,0,0,-1,-1,3,-1,-2,0,1], [2,3,2,1,7,1,6,1,-2,-11,2,1,-4,6,-10,-2,0,-3,-5,9,-5,-11,2,6], [0,0,0,0,0,0,1,0,0,-1,1,1,-1,-1,0,-1,-1,-1,0,2,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0], [2,2,1,1,6,1,4,1,-1,-9,2,1,-3,4,-8,-1,0,-4,-4,8,-4,-8,1,5], [1,1,1,1,4,1,2,0,0,-6,2,1,-2,2,-5,-1,0,-3,-3,6,-3,-5,0,4], [0,0,0,0,-1,0,1,1,-1,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0], [-1,-1,0,0,-2,0,-1,0,0,2,0,1,0,-1,3,0,-1,0,1,-1,2,2,-1,-1], [0,0,0,0,1,0,1,0,0,-1,0,0,0,0,-1,0,0,0,0,1,-1,-1,0,1], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [2,1,1,1,4,1,3,1,-1,-7,2,1,-3,3,-6,-1,0,-3,-3,7,-3,-6,0,4], [1,0,0,0,1,1,1,0,0,-2,1,0,-1,0,-2,0,0,-2,-1,3,-1,-2,0,2], [0,-1,-1,0,-1,1,-1,0,1,1,0,0,0,-2,2,0,0,-1,1,1,0,2,-1,0], [0,-1,-1,0,-2,1,-1,0,1,2,0,-1,1,-3,2,1,0,-1,1,0,1,3,-1,-1], [1,0,0,1,1,1,1,1,-1,-3,0,0,-1,1,-2,0,0,-1,-1,3,-1,-2,0,1], [2,2,1,1,5,1,4,1,-2,-8,2,1,-3,4,-7,-2,0,-2,-3,7,-4,-7,0,4], [1,1,1,1,3,0,3,1,-2,-5,1,1,-2,3,-4,-1,0,-1,-2,4,-2,-5,0,2], [0,0,0,0,-2,0,0,0,-1,1,0,0,0,-1,2,0,-1,1,1,-1,1,1,0,-1], [0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0], [0,0,0,0,-1,0,0,0,-1,1,0,1,0,-1,2,-1,-1,1,1,-1,1,1,-1,-1], [2,2,1,1,6,1,4,1,-1,-9,2,1,-3,4,-8,-2,1,-3,-4,8,-5,-8,1,5], [0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0], [2,1,0,1,2,1,3,1,-1,-5,1,0,-2,1,-4,-1,0,-2,-1,5,-3,-3,0,2]], [[2,2,1,1,7,1,5,1,-1,-10,2,1,-4,5,-9,-2,1,-3,-4,9,-6,-9,1,6], [0,0,0,0,0,0,0,1,-1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0], [-2,-2,-1,-1,-5,-1,-4,0,0,8,-2,-1,3,-3,7,2,0,4,3,-8,4,7,0,-5], [-1,-1,-1,0,-3,0,-1,0,0,4,-1,0,1,-2,4,0,-1,2,2,-3,2,4,-1,-2], [-1,0,0,0,-1,0,0,0,-1,1,0,0,0,0,1,0,0,1,0,-1,1,0,0,0], [-1,-1,-1,0,-2,0,-2,0,0,3,-1,0,1,-1,3,1,0,1,1,-3,2,3,0,-2], [-1,0,-1,0,-1,0,-1,0,0,2,-1,0,1,-1,2,0,0,1,1,-2,1,2,0,-1], [-1,-1,0,0,-1,0,-2,0,0,2,-1,0,1,0,2,1,0,1,0,-2,1,2,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0], [0,0,0,0,0,1,1,0,0,-1,0,0,-1,0,0,0,0,-1,-1,2,0,-1,0,1], [-1,-1,-1,0,-3,0,-2,0,0,4,-1,0,1,-2,4,1,0,1,2,-3,2,4,-1,-2], [0,0,-1,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0], [-1,-1,-1,0,-2,0,-2,0,1,3,-1,0,1,-2,3,1,0,0,1,-2,2,3,0,-1], [0,0,-1,0,-1,0,0,0,0,1,0,0,0,-1,1,0,0,0,1,0,0,1,0,0], [1,1,0,1,3,1,2,1,-1,-5,1,1,-2,2,-4,-1,0,-2,-2,5,-2,-4,0,3], [0,1,0,0,1,0,1,1,-1,-2,0,0,-1,2,-2,0,0,0,-1,1,-1,-2,1,1], [0,0,-1,0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,1,1,-1,0,1,0,-1], [0,0,0,0,0,0,1,1,-1,-1,0,0,-1,1,-1,0,0,0,0,1,-1,0,0,0], [-1,0,0,0,-2,-1,-1,0,-1,3,-1,-1,1,0,2,1,0,3,1,-4,1,2,1,-2], [0,0,0,0,-1,0,1,1,-1,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0], [-1,0,0,0,-1,-1,0,0,-1,2,0,0,0,0,1,0,0,2,1,-2,0,1,0,-1], [-2,-2,-2,-1,-6,-1,-4,0,0,9,-2,-1,3,-4,8,1,0,4,5,-8,4,8,-1,-5], [-1,-1,-1,0,-3,0,-2,0,0,4,-1,0,1,-2,4,0,0,2,2,-3,2,4,-1,-2], [-1,-1,-1,0,-2,0,-2,0,0,3,-1,-1,1,-1,3,1,0,2,2,-3,1,3,0,-2]]]], [ # Q-class [24][43] [[8], [1,8], [2,2,8], [2,4,2,8], [2,4,4,2,8], [1,2,2,1,2,8], [4,1,2,2,0,2,8], [2,2,2,2,0,4,4,8], [4,1,2,4,3,0,2,1,8], [4,0,4,1,2,2,3,4,2,8], [0,2,2,1,2,4,0,2,2,2,8], [1,4,4,3,2,4,2,4,1,2,2,8], [3,2,2,1,4,0,0,2,2,4,1,2,8], [1,2,2,1,4,2,0,2,1,2,3,0,4,8], [2,2,2,3,4,2,1,2,3,2,1,4,2,2,8], [4,2,4,2,3,1,2,1,4,2,2,2,1,2,3,8], [2,2,1,4,1,2,4,3,2,2,1,1,2,1,1,0,8], [2,1,2,1,1,2,2,4,2,4,4,2,3,2,1,0,2,8], [1,4,0,2,2,4,1,2,0,2,3,2,2,4,2,1,2,2,8], [2,2,3,4,0,2,4,2,2,1,2,4,0,0,1,4,2,0,1,8], [2,3,4,2,3,2,2,2,4,2,4,4,2,1,2,2,1,4,1,2,8], [2,1,4,3,4,1,2,0,4,2,2,1,2,2,1,2,2,0,0,3,2,8], [4,0,0,2,1,1,2,1,4,2,2,0,3,2,1,0,4,4,1,0,2,2,8], [-1,2,2,1,4,4,0,2,2,0,3,2,0,4,2,1,0,1,2,0,2,2,1,8]], [[[0,-1,-1,0,2,0,0,0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,0,0,-1], [0,-1,-1,0,2,-1,-1,1,0,0,0,2,-2,1,-1,0,0,0,0,0,0,0,1,-1], [0,0,-1,0,0,0,0,-1,0,1,0,1,0,1,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-2,0,0,0,-1,-1,-1,1,-1,1,-1,1,0,1,1,1,-1,0,1,1,0,0], [0,0,-1,-1,1,0,-1,0,1,1,-1,2,-2,2,-1,0,1,0,-1,0,0,0,0,-1], [0,0,0,-1,1,0,0,0,1,0,0,1,-1,1,0,-1,0,0,0,0,-1,0,0,-1], [0,-1,0,0,1,0,0,0,1,0,0,2,-1,1,-1,0,0,0,0,-1,-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,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,-1,-1,0,2,-1,-1,1,0,1,0,2,-2,1,-1,0,0,-1,0,0,0,0,1,-1], [0,-1,-1,1,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,-1,1,1,0,0], [0,0,-1,0,-1,0,0,-1,0,0,0,1,0,1,0,1,1,1,-1,-1,0,1,-1,0], [0,-1,-1,0,2,-1,-1,0,0,1,0,2,-2,1,-1,0,1,0,0,0,0,0,0,-1], 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[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-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,-1,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,0,0,-1,0,1,-1,0,0]]]], [ # Q-class [24][58] [[6], [3,6], [3,3,6], [2,3,3,6], [3,3,3,3,6], [3,3,3,2,3,6], [3,3,2,3,3,2,6], [2,3,2,3,3,3,3,6], [2,1,1,2,2,1,2,1,6], [1,1,1,1,1,1,1,0,2,6], [3,2,2,3,3,3,3,3,0,1,6], [3,2,3,3,2,2,3,3,2,0,3,6], [2,3,3,3,2,3,3,3,0,1,3,3,6], [3,3,3,3,3,3,3,2,1,1,3,3,3,6], [1,1,2,1,1,2,1,1,3,2,1,2,0,1,6], [2,1,2,1,1,1,2,1,3,1,0,1,1,2,3,6], [3,3,3,2,3,3,3,3,0,0,2,3,3,3,0,0,6], [3,3,3,3,2,3,3,3,1,1,3,3,3,2,1,1,2,6], [2,1,2,1,1,1,1,1,1,1,1,1,2,2,0,3,0,0,6], [2,2,0,2,2,0,2,0,2,1,2,1,0,2,2,2,0,0,2,6], [0,0,1,1,1,1,0,1,0,2,1,1,1,1,-1,0,1,0,2,0,6], [3,3,3,3,3,3,2,3,1,0,3,3,2,3,1,0,3,3,0,1,1,6], [3,0,1,-1,0,1,0,-1,1,2,1,1,-1,0,3,1,0,0,1,2,0,1,6], [2,3,2,2,3,3,3,3,2,0,2,3,3,2,2,1,3,2,1,1,-1,3,0,6]], [[[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,-3,1,1,-2,0,-2,0,-1,1,-1,0,0,4,-1,2,1,3,-3,0,1,-1,-1], 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[0,0,0,-1,1,-1,-1,1,0,-1,2,1,0,0,-1,-2,0,2,0,1,0,1,0,0], [1,0,-1,1,0,0,0,1,-1,0,0,1,1,0,0,0,-1,1,0,1,0,-1,0,1], [1,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,-1,0,1]]]], [ # Q-class [24][60] [[4], [0,4], [1,1,4], [1,1,0,4], [1,1,1,1,4], [1,1,0,1,1,4], [1,1,1,1,1,1,4], [1,1,1,1,0,1,1,4], [0,1,1,1,1,0,1,1,4], [1,1,1,1,1,1,1,1,0,4], [1,0,1,0,1,0,-1,0,1,0,4], [0,1,-1,0,1,1,1,0,1,0,1,4], [1,1,0,0,0,1,1,1,-1,1,0,1,4], [1,0,1,1,0,1,1,0,0,0,0,1,1,4], [1,1,1,0,1,0,0,0,1,1,1,1,1,1,4], [1,1,0,1,0,1,-1,1,0,0,1,1,1,0,1,4], [0,1,-1,1,0,1,0,0,1,0,1,1,1,1,1,1,4], [1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,4], [1,-1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,4], [1,0,1,1,0,0,1,1,0,-1,0,0,1,1,0,1,0,0,1,4], [0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,-1,1,4], [-1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,4], [1,1,1,0,0,1,1,0,0,-1,-1,0,1,1,0,1,0,0,0,1,0,0,4], [0,1,1,1,1,-1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,4]], [[[-1,-2,1,3,-1,3,1,-1,-1,-1,2,1,-1,-1,2,1,-1,2,-4,1,-5,3,0,-1], [0,0,3,1,-1,0,0,0,-1,-1,-1,2,0,-1,0,0,1,0,0,0,-1,-1,-1,0], 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[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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 [24][62] [[4], [2,4], [2,2,4], [2,2,2,4], [2,1,1,1,4], [1,2,1,1,2,4], [1,1,2,1,2,2,4], [1,1,1,2,2,2,2,4], [2,1,1,1,2,1,1,1,4], [1,2,1,1,1,2,1,1,2,4], [1,1,2,1,1,1,2,1,2,2,4], [1,1,1,2,1,1,1,2,2,2,2,4], [2,1,1,1,2,1,1,1,2,1,1,1,4], [1,2,1,1,1,2,1,1,1,2,1,1,2,4], [1,1,2,1,1,1,2,1,1,1,2,1,2,2,4], [1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4], [2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,4], [1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,4], [1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,2,2,4], [1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4], [2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,4], [1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,4], [1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,2,2,4], [1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1], [-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0], [-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,1,0,0,-1], 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[4,2,6,2,6,3,4,3,6,4,6,2,2,2,6,4,6,3,4,12], [-1,4,0,2,0,2,2,-2,1,2,-1,4,4,2,4,6,2,6,6,1,12], [1,3,1,2,2,4,4,2,3,-1,2,4,3,6,2,4,3,3,3,3,2,12], [2,0,4,2,3,6,4,2,0,-2,2,4,2,0,4,3,1,2,6,3,4,3,12], [4,1,3,1,4,1,4,2,3,0,6,2,4,2,4,2,6,3,1,6,2,4,2,12]], [[[-2,1,0,0,1,1,2,-2,0,1,-1,1,-1,0,0,1,0,0,0,-1,-2,-1,0,2], [-1,0,-1,0,0,0,0,0,1,1,0,1,-1,1,-1,0,0,1,0,0,-1,-1,1,1], [-2,1,-1,0,1,1,2,-2,0,2,-1,1,-2,0,0,2,0,1,-1,-1,-3,-1,1,2], [0,1,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0], [-2,1,0,0,1,1,2,-2,0,1,-1,1,-1,0,0,2,-1,0,0,-1,-2,-1,0,2], [0,1,0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,1], [-1,1,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [-1,1,-1,0,0,1,0,-1,1,0,0,0,-1,1,0,0,0,1,-1,0,-1,-1,1,1], [-3,1,-1,1,1,1,2,-2,1,1,-1,1,-2,1,0,1,0,1,0,-1,-3,-2,1,2], [-1,1,-1,0,0,0,1,-1,0,1,0,1,-1,0,-1,1,0,1,0,0,-2,-1,1,1], [-2,1,0,0,1,1,2,-2,0,1,-1,1,-1,0,0,2,-1,1,0,-1,-3,-1,0,2], [0,0,0,-1,0,1,0,0,0,1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,1], [-1,1,0,0,0,2,1,-1,0,0,-1,0,0,0,0,1,0,-1,0,0,-1,-1,0,1], [-1,0,0,0,0,1,1,0,0,0,-1,1,0,0,0,1,0,-1,1,0,-1,-1,-1,1], [-1,0,0,0,1,1,1,-1,0,1,-1,1,-1,0,0,2,-1,0,0,-1,-2,-1,0,2], [-1,0,0,0,1,1,1,0,0,0,-1,1,0,0,0,1,-1,-1,1,0,-1,-1,-1,1], [-2,0,0,0,1,1,2,-1,0,1,-1,1,-1,0,0,2,-1,0,0,-1,-2,-1,0,2], [0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,1,-1,1,0,0,1,-1,0,-1,1,0,0,-1,1,-1,-1,1,0,0,0,-1,1], [-2,1,0,0,1,1,2,-2,0,1,-1,1,-1,0,0,2,-1,0,0,-1,-3,-1,0,2], [1,0,1,-1,0,0,-1,1,-1,0,0,0,1,-1,-1,0,-1,-1,1,1,1,1,-1,0], [-1,0,0,0,0,1,0,1,1,-1,-1,0,0,1,0,0,0,-1,1,0,0,-1,-1,1], [0,1,1,-1,1,1,0,0,-1,0,-1,0,0,0,0,1,-1,-1,0,0,0,0,-1,1], [-2,1,1,0,1,2,2,-2,0,0,-1,0,-1,0,0,2,-1,0,0,-1,-2,-1,-1,2]], [[0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0], [-1,0,0,0,1,1,1,-1,0,1,-1,0,-1,0,0,1,0,0,0,-1,-1,0,0,1], [0,0,0,-1,0,0,0,0,0,1,0,0,-1,0,-1,1,0,1,-1,0,0,0,1,0], [0,0,1,-1,1,-1,0,0,-1,1,0,0,0,-1,-1,1,-1,1,0,0,0,1,0,0], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [0,0,1,-1,0,0,-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0], [1,0,1,-1,-1,0,-2,1,0,-1,1,-1,1,0,-1,-1,0,0,0,1,2,1,0,-1], [0,0,1,-1,0,0,0,0,-1,1,0,0,0,-1,-1,1,0,0,0,0,0,1,0,0], [0,0,0,-1,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,1,0], [-1,0,0,0,1,0,1,-1,0,1,0,0,-1,0,0,1,0,1,-1,-1,-1,0,1,0], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0], [-1,0,0,0,0,1,0,0,1,0,-1,0,-1,1,0,0,0,0,0,0,0,-1,0,1], [-1,0,0,0,0,0,0,0,1,0,0,0,-1,1,0,0,0,1,0,-1,-1,-1,1,1], [0,-1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0], [-1,0,0,0,0,1,1,0,1,0,-1,0,-1,1,0,1,0,0,0,-1,-1,-1,0,1], [0,-1,0,0,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0], [-1,0,0,0,0,1,1,-1,1,0,0,0,-1,0,0,1,0,0,0,-1,-1,-1,0,1], [-1,0,0,0,0,1,0,0,1,0,0,0,-1,1,0,0,0,0,0,-1,0,-1,0,1], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,1,1,-1,0,-1,0,1,0,-1,0,0,0,0,1,0,0,0], [1,-1,1,-1,0,0,-1,1,0,0,0,0,1,-1,0,0,-1,-1,1,0,1,1,-1,0], [2,0,1,-1,-1,-1,-2,2,0,-1,0,-1,1,0,-1,-1,0,0,0,1,2,1,0,-1], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,1]]]], [ # Q-class [24][65] [[6], [3,6], [2,2,6], [2,3,3,6], [1,1,2,1,6], [2,3,3,3,2,6], [2,1,2,2,3,2,6], [3,1,3,2,1,2,2,6], [3,3,1,2,2,0,2,2,6], [3,1,1,1,2,1,3,2,3,6], [1,2,1,1,2,2,1,1,2,2,6], [2,2,1,3,2,1,1,2,3,2,2,6], [2,2,3,3,2,3,3,3,2,2,0,0,6], [3,2,3,2,3,3,2,2,1,1,2,1,2,6], [1,1,3,2,2,2,3,2,2,2,1,1,3,1,6], [2,1,1,1,2,1,1,2,2,3,3,2,2,1,2,6], [1,2,2,2,3,3,2,1,2,3,3,1,3,2,2,2,6], [1,2,3,3,3,2,1,1,2,2,2,3,2,2,2,3,3,6], [0,0,0,1,2,0,1,1,1,1,2,2,1,0,-1,3,1,1,6], [2,2,2,2,1,1,1,3,1,1,2,2,2,3,1,2,1,1,2,6], [3,2,2,2,1,3,2,3,1,2,1,1,3,2,3,3,1,1,0,2,6], [2,2,1,0,1,1,2,1,1,1,2,0,0,1,0,1,1,0,2,2,0,6], [2,1,1,1,1,0,2,1,1,1,1,1,0,1,0,0,1,0,2,2,1,3,6], [2,3,0,3,1,1,1,1,2,0,0,2,1,1,0,0,0,0,2,2,1,2,2,6]], [[[-2,0,1,0,0,-1,-1,0,-1,1,1,2,3,1,-1,1,-1,-1,-2,-2,0,1,1,1], [-2,-1,1,0,0,0,0,-1,0,0,1,2,3,0,-2,2,-1,-1,-3,-1,0,1,1,1], [-1,0,0,0,0,-1,-1,0,-1,0,1,2,3,1,0,1,-1,-1,-1,-2,0,1,1,0], [-1,-1,0,1,1,0,-1,0,0,0,1,1,2,0,-1,1,-1,-1,-2,-1,0,1,1,0], [0,0,0,0,0,-2,-1,0,-1,0,1,1,2,0,0,-1,0,0,0,-1,1,1,0,0], [-1,-1,1,0,0,0,-1,-1,0,0,1,2,3,0,-1,1,-1,-1,-2,-1,0,1,1,0], [0,0,0,0,0,-2,-1,0,-1,0,1,1,2,1,0,-1,0,0,0,-2,1,1,0,0], [-1,0,0,0,0,-1,-1,0,-1,1,1,2,3,1,0,0,-1,-1,-1,-2,0,1,1,0], [-2,0,0,0,0,-1,-1,0,-1,1,1,2,3,1,-1,1,-1,-1,-2,-2,0,1,1,1], [-2,0,1,-1,0,-1,-1,0,-1,1,1,2,3,1,-1,1,-1,-1,-2,-2,0,1,1,1], [0,-1,1,-1,0,0,0,-1,0,0,1,1,1,-1,-1,0,0,0,-1,0,1,0,0,1], [-1,0,0,1,1,-1,-1,0,-1,1,1,1,2,0,-1,1,-1,-1,-2,-1,0,1,1,0], [-1,0,0,0,0,-1,-1,0,-1,0,1,2,3,1,0,0,-1,-1,-1,-2,0,1,1,0], [0,0,0,0,0,-1,-1,0,-1,0,1,1,2,0,0,-1,0,0,0,-1,1,1,0,0], [-1,0,0,0,0,-1,-1,0,-1,0,0,2,2,1,0,1,0,-1,-1,-2,0,1,1,0], [-1,0,1,-1,0,-1,0,0,-1,0,1,2,2,0,-1,1,0,-1,-2,-1,0,0,1,1], [-1,-1,1,-1,0,0,-1,-1,0,0,1,2,3,0,-1,1,-1,-1,-2,-1,0,1,1,1], [-1,0,0,0,1,-1,-1,0,-1,0,1,2,3,0,-1,1,-1,-1,-2,-1,0,1,1,0], [0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,1,0,0,0], [0,0,0,0,0,-1,0,0,-1,0,1,1,1,0,0,-1,0,0,0,-1,1,1,0,0], [-1,0,1,0,0,0,0,0,0,0,0,1,1,0,-1,1,0,-1,-1,-1,0,0,1,0], [-1,-1,1,-1,-1,-1,0,-1,0,0,1,2,2,1,-1,0,0,0,-1,-1,1,1,0,1], [0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,-1,0,1,1,0,1,0,0,0], [-1,-1,0,1,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,-1,0,1,1,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,1,0,0,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,-1,-1,1,-1,1,0,0,0,1,1,-1,0,0,1,-1,0,0,0,0], [0,-1,1,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,1,-1,1,1,-1,-1,1,-1,0,0,-1,0,0,1,-1,0,0,1,0,0,0,0,-1], [0,0,0,0,0,1,0,0,1,0,-1,-1,-1,0,0,0,0,0,0,1,0,0,0,0], [0,0,1,-1,-1,-1,0,0,-1,0,1,1,1,1,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,-1,0,0,-1,0,1,0,1,0,0,-1,0,0,0,0,0,0,0,0], [1,1,0,0,0,0,0,1,-1,0,0,-1,-1,0,1,0,0,0,1,0,-1,-1,0,0], [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,-1,0,1,0,1,0,0,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,-1,-1,0,-1,1,1,1,2,1,0,-1,-1,0,0,-1,0,1,0,0], [1,0,0,1,1,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,1,0,-1,0,0], [1,0,0,1,1,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,1,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]] ]; MakeImmutable( IMFList[24].matrices );