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Views: 418346############################################################################# ## #A imf22.grp GAP group library Volkmar Felsch ## ## #Y Copyright (C) 1995, Lehrstuhl D für Mathematik, RWTH Aachen, Germany ## ## This file contains, for each Q-class representative of the irreducible ## maximal finite integral matrix groups of dimension 22, ## ## [1] a quadratic form (as lower triangle of the Gram matrix), ## [2] a list of matrix generators. ## ############################################################################# ## ## Quadratic form and matrix generators for the Q-class representatives of ## the irreducible maximal finite integral matrix groups of dimension 22. ## IMFList[22].matrices := [ [ # Q-class [22][01] [[1], [0,1], [0,0,1], [0,0,0,1], [0,0,0,0,1], [0,0,0,0,0,1], [0,0,0,0,0,0,1], [0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [22][02] [[8], [4,8], [2,4,8], [4,2,4,8], [2,4,2,4,8], [2,4,2,1,2,8], [2,4,2,1,2,2,8], [1,2,4,2,1,1,4,8], [2,1,2,1,-1,2,2,4,8], [4,2,1,2,1,1,4,2,4,8], [2,4,2,-2,2,2,2,1,2,1,8], [2,1,2,4,2,-1,2,4,2,4,-1,8], [2,1,2,1,2,2,2,1,2,4,2,2,8], [2,1,2,4,2,-1,2,1,-1,1,-1,2,2,8], [1,2,4,2,1,4,1,2,1,2,1,1,4,1,8], [2,1,2,4,2,2,2,4,2,1,-1,2,2,2,1,8], [4,2,1,2,1,4,1,2,1,2,1,1,1,1,2,4,8], [1,2,1,2,1,4,1,-1,1,2,1,1,1,1,2,1,2,8], [2,1,2,1,-1,2,2,1,2,1,2,-1,2,2,1,2,1,4,8], [1,2,1,2,1,1,1,2,1,-1,1,1,1,4,-1,4,2,2,4,8], [2,4,2,1,2,2,2,1,2,1,2,-1,2,2,1,2,1,1,2,4,8], [2,4,2,1,2,2,2,4,2,1,2,2,2,2,1,2,1,1,2,4,2,8]], [[[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-3,2,-2,3,-2,1,-1,1,-1,0,2,1,1,1,-2,0,1,-1,2,-3,1,0] , [-2,3,-2,2,-2,1,-2,3,-1,0,1,0,2,1,-2,0,0,0,1,-2,0,-1], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,0,-1,3,-2,1,0,0,-1,0,2,1,0,0,-1,0,1,-1,1,-2,1,1], [-4,4,-4,5,-3,1,-2,3,-1,0,2,0,2,1,-2,-1,1,-1,2,-3,1,-1], [-1,0,0,0,0,1,0,-1,0,0,1,1,-1,1,0,1,0,-1,1,-1,0,0], [2,-2,2,-4,2,0,1,-2,1,0,-1,1,-2,0,2,1,-1,0,0,2,-1,0], [2,-2,2,-4,2,0,1,-2,1,0,-1,1,-2,0,2,1,-1,0,0,1,0,0], [1,-2,2,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0], [-3,3,-3,4,-3,1,-1,1,-1,-1,2,1,2,1,-2,0,1,-1,2,-4,1,0], [1,-3,2,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,1], [-1,0,0,1,-1,1,0,0,-1,1,1,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,3,-2,2,-2,1,-2,2,-1,1,1,0,1,1,-1,0,0,-1,1,-1,0,-1], [1,-1,1,-2,2,-1,1,-1,1,0,-1,0,-1,-1,2,0,0,0,0,2,-1,0], [-2,3,-3,4,-2,0,-1,3,-1,0,1,-1,2,0,-1,-1,0,0,1,-1,0,-1], [-3,3,-3,4,-2,1,-2,3,-1,0,1,0,2,1,-2,-1,1,-1,2,-3,1,-1], [-2,3,-2,2,-1,0,-1,2,0,-1,0,0,2,1,-1,-1,1,0,1,-2,0,-1], [-1,1,-1,1,0,-1,0,1,0,-1,0,0,1,0,0,-1,1,0,1,-1,0,0], [-1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,1,-1,0,0], [1,-2,1,-2,1,0,1,-1,0,0,0,1,-1,0,1,0,0,0,0,1,0,0]], [[-5,5,-5,7,-4,1,-3,4,-2,0,3,0,3,1,-3,-1,1,-1,2,-4,1,-1], [0,0,0,-1,1,0,0,-1,0,0,0,1,-1,0,1,0,0,-1,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [-1,1,-1,2,-1,0,-1,2,-1,1,1,-1,1,0,-1,-1,0,0,0,0,0,-1], [0,-1,1,-1,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0], [0,1,-1,1,0,0,0,1,0,-1,0,0,1,0,0,-1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [-1,1,-1,2,-1,0,-1,1,-1,0,1,0,1,0,-1,0,0,0,0,-1,0,0], [-1,1,-1,0,0,1,-1,0,0,0,0,1,0,1,0,0,0,-1,1,-1,0,0], [-1,1,-1,2,-1,0,-1,1,-1,1,1,-1,1,0,-1,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [-1,0,0,1,-1,1,0,0,-1,1,1,0,0,0,-1,0,0,-1,0,0,0,0], [1,1,0,-1,1,-1,0,1,1,-1,-1,-1,1,0,0,-1,0,1,-1,1,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-4,4,-4,6,-3,1,-2,3,-1,-1,2,0,3,1,-3,-1,1,-1,2,-4,1,-1], [0,1,-1,1,-1,1,-1,2,-1,0,1,0,1,1,-1,0,-1,0,0,-1,0,-1], [-1,2,-2,2,-2,1,-1,2,-1,0,1,0,1,1,-1,0,-1,0,0,-1,0,-1], [1,-2,1,-2,1,1,1,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0], [1,-3,2,-3,2,0,2,-4,1,0,0,2,-3,0,2,1,0,-1,0,1,0,1], [1,-1,1,-2,1,1,0,-2,0,1,0,1,-2,0,1,1,-1,-1,0,1,0,0]]]], [ # Q-class [22][03] [[2], [1,2], [0,0,2], [0,0,1,2], [0,0,0,0,2], [0,0,0,0,1,2], [0,0,0,0,0,0,2], [0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [22][04] [[2], [1,2], [1,1,2], [1,1,1,2], [1,1,1,1,2], [1,1,1,1,1,2], [1,1,1,1,1,1,2], [1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2]], [[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [22][05] [[4], [1,4], [2,0,4], [1,-1,-1,4], [2,0,2,0,4], [1,0,1,0,1,4], [2,0,2,0,2,1,4], [1,0,1,0,1,2,1,4], [2,0,2,0,2,1,2,1,4], [1,0,1,0,2,2,1,2,1,4], [2,-1,2,0,2,1,2,1,2,1,4], [1,0,1,0,1,2,1,2,1,2,1,4], [2,1,0,1,0,0,0,0,0,0,0,-1,4], [1,0,1,0,1,2,2,2,1,2,1,2,0,4], [1,0,1,0,1,2,1,2,1,2,1,2,0,2,4], [2,1,0,1,0,0,0,0,0,0,0,0,2,0,0,4], [1,0,1,0,1,2,1,2,2,2,1,2,0,2,2,0,4], [2,1,0,1,0,0,0,0,0,0,0,0,2,0,-1,2,0,4], [1,1,1,0,1,2,1,2,1,2,2,2,0,2,2,0,2,0,4], [2,0,2,0,2,1,2,2,2,1,2,1,0,1,1,0,1,0,1,4], [1,0,1,0,1,2,1,2,1,2,1,2,0,2,2,-1,2,0,2,1,4], [2,1,0,1,0,-1,0,0,0,0,0,0,2,0,0,2,0,2,0,0,0,4]], [[[-1,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [-1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,1,0,1,0,0], [-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [-1,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1], [0,0,0,0,-1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,1,1,0,0], [-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1], [-2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0], [-1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,1], [-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0], [-1,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,1], [-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,1,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]], [ # Q-class [22][06] [[3], [0,3], [0,0,3], [1,-1,0,3], [0,0,-1,0,3], [0,-1,0,0,-1,3], [0,-1,-1,1,1,1,3], [-1,1,0,-1,0,0,-1,3], [1,0,-1,0,1,0,1,-1,3], [0,0,0,-1,1,-1,-1,1,0,3], [1,-1,0,0,-1,1,0,-1,1,-1,3], [-1,1,1,-1,-1,1,0,1,-1,0,-1,3], [0,-1,1,0,1,-1,0,-1,1,1,0,-1,3], [0,1,1,-1,-1,-1,-1,1,-1,1,-1,1,0,3], [1,1,0,1,-1,0,-1,0,0,-1,0,0,-1,0,3], [-1,1,1,-1,1,-1,0,1,0,1,-1,1,1,1,-1,3], [0,0,0,1,-1,1,0,1,0,-1,0,0,-1,0,1,-1,3], [-1,-1,-1,-1,1,1,1,0,0,0,0,0,0,-1,-1,0,-1,3], [-1,1,0,-1,-1,1,-1,1,0,0,0,1,-1,0,1,0,1,0,3], [-1,0,-1,-1,-1,1,0,0,0,0,0,1,-1,0,0,-1,0,1,1,3], [1,1,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,3], [0,-1,0,1,0,0,0,0,0,1,0,-1,1,0,0,0,0,0,0,0,0,3]], [[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,1,0,0,0,2,1,-1,1,1,-1,1,0,1,0,0,0,0,1,0,-1], [1,1,-1,0,-1,0,0,0,-1,0,0,0,1,-1,0,1,0,0,0,0,-1,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,1,1,2,0,-2,0,2,-1,0,1,-1,1,-1,-1,0,0,0,0,1,0], [0,0,-1,-1,0,0,0,-1,0,0,0,1,0,0,0,0,1,0,0,-1,0,1], [-1,0,0,1,1,1,-1,-1,1,0,0,0,-1,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,1,0,0,1,0,-1,-1,-1,0,0,0,-1,0,0,0,0,0], [0,0,0,1,-1,1,-1,1,1,0,-1,-1,0,0,-1,0,-1,0,0,0,0,-1], [0,0,0,-1,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,1], [0,1,-1,0,-1,1,1,0,-1,1,0,-1,1,0,1,1,0,0,0,0,-1,-1], [0,0,0,1,0,1,-2,0,1,-1,-1,0,0,0,-1,0,-1,0,0,0,0,0], [1,1,-1,1,-1,1,0,1,-1,0,0,-1,1,0,0,1,-1,0,0,1,-1,-1], [1,0,0,-1,-1,-1,2,1,-1,0,0,0,1,-1,1,0,0,0,0,0,0,0], [-1,1,0,2,0,2,-1,1,1,0,0,-1,0,1,0,0,-2,0,0,0,-1,-1], [1,0,0,-1,0,-1,1,0,-1,0,0,1,0,-1,0,0,1,0,0,0,0,1], [-1,-1,0,0,1,-1,-2,-1,2,-1,0,2,-1,1,-1,-1,1,1,0,-1,1,1], [1,0,0,-1,-1,-1,2,1,-1,0,0,0,1,-1,0,0,0,0,1,0,0,0], [0,0,0,-1,-1,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0], [-1,1,0,1,0,1,1,1,0,1,1,-1,1,1,1,-1,-1,0,0,0,0,-1], [0,0,0,1,-1,1,-1,1,1,-1,-1,-1,0,0,-1,0,-1,0,0,0,0,0]], [[1,-1,0,0,1,-2,-1,-1,0,-1,0,2,0,0,-1,0,2,1,1,0,1,1], [-1,1,0,0,1,1,0,-1,0,1,1,0,0,1,1,0,1,0,-1,0,0,0], [0,-1,0,-1,0,0,-1,0,1,-1,-1,0,-1,0,0,0,0,0,-1,0,0,1], [1,-2,0,-1,1,-2,-1,0,0,-2,0,2,0,0,-1,0,1,0,1,0,1,1], [1,0,0,-1,-1,0,3,1,-2,1,0,-2,1,-1,2,1,-1,-1,1,1,-1,-1], [0,1,0,1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0], [0,0,0,0,0,-1,1,0,-1,0,1,0,0,0,0,0,0,0,1,0,0,0], [-1,1,0,1,0,2,0,0,0,1,0,-1,0,1,1,0,-1,0,-1,0,-1,-1], [0,0,0,0,1,-1,1,0,-1,0,1,1,1,0,0,-1,1,0,1,0,1,0], [0,0,0,1,0,2,0,1,0,0,-1,-2,0,0,1,1,-2,-1,0,1,-1,-1], [0,0,0,-1,0,-2,0,-1,0,0,0,2,0,-1,-1,-1,2,1,0,-1,1,1], [-1,1,0,1,0,2,-1,0,1,0,0,-1,-1,1,0,0,-1,0,-1,0,-1,0], [0,-1,0,-1,-1,0,1,1,0,0,-1,-1,0,-1,1,0,-1,-1,0,0,0,0], [-1,0,0,1,1,1,-2,-1,1,0,0,0,-1,1,0,0,0,0,-1,0,0,0], [1,-1,0,-1,1,-1,-1,-1,0,-1,0,2,0,0,-1,0,2,0,0,0,1,1], [-1,0,0,-1,0,1,1,0,0,1,0,-1,-1,0,2,0,-1,-1,-1,0,-1,0], [0,0,0,1,1,-1,-1,0,0,-1,1,2,1,1,-1,-1,1,1,0,0,1,0], [0,1,0,0,-2,1,2,0,-1,2,0,-2,0,-1,1,1,-1,0,0,0,-1,-1], [0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [-1,1,0,2,0,2,-1,0,1,0,0,-1,0,1,-1,0,-1,0,0,0,0,-1], [0,0,0,0,0,0,0,-1,0,1,0,0,-1,0,0,1,1,0,0,0,0,0], [0,-1,-1,0,0,1,-1,0,0,-1,-1,0,0,0,0,1,-1,-1,0,0,0,0]]]], [ # Q-class [22][07] [[12], [2,12], [2,-3,12], [-3,2,-3,12], [2,-3,2,2,12], [2,2,-3,2,2,12], [-3,2,2,2,2,-3,12], [-3,-3,2,2,-3,-3,-3,12], [-3,-3,-3,2,2,2,-3,2,12], [2,2,-3,-3,2,2,2,-3,-3,12], [2,2,2,2,-3,2,-3,2,2,-3,12], [2,2,-3,-3,-3,2,-3,-3,2,2,-3,12], [2,2,2,2,-3,-3,2,-3,-3,-3,2,2,12], [2,2,-3,2,2,-3,2,2,-3,2,-3,-3,-3,12], [2,2,2,2,2,2,-3,-3,-3,-3,2,-3,2,-3,12], [2,-3,2,2,2,2,-3,2,2,-3,2,-3,2,-3,2,12], [-3,2,-3,2,-3,-3,-3,2,2,-3,2,-3,2,2,2,2,12], [-3,-3,2,-3,2,2,2,-3,2,2,-3,2,-3,-3,-3,-3,-3,12], [2,2,2,2,-3,2,-3,2,-3,-3,2,2,2,2,2,2,2,-3,12], [-3,2,-3,2,-3,2,2,-3,-3,2,-3,2,2,-3,2,-3,-3,2,-3,12], [2,-3,2,-3,2,2,-3,2,2,2,-3,2,-3,-3,2,2,-3,2,-3,2,12], [2,-3,2,2,2,-3,2,2,2,2,2,-3,2,2,-3,2,2,2,-3,-3,2,12]], [[[1,0,-1,0,0,-1,0,0,0,0,0,-1,0,-1,0,0,0,1,1,0,0,0], [0,0,0,-1,1,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,1,1,-1,1], [1,-1,0,1,-1,0,1,1,0,1,0,1,0,0,1,0,1,1,-1,-1,0,-1], [0,0,1,1,0,0,-1,-1,0,0,-1,-1,0,-1,-1,-1,0,-1,0,0,0,0], [1,-1,0,1,0,0,1,1,-1,0,1,1,0,0,0,0,1,1,-1,0,0,-1], [0,-1,1,1,-1,0,0,0,0,1,1,1,1,2,1,1,0,1,-2,-1,0,-2], [0,-1,2,1,-1,1,0,0,0,1,0,1,0,1,0,0,1,0,-1,0,0,-1], [0,1,-1,-1,1,0,0,0,0,-1,-1,-1,0,-2,-1,-1,0,-1,1,0,0,1], [-1,0,0,0,-1,1,0,0,0,0,0,0,1,1,1,0,-1,0,-1,-1,0,0], [0,-1,1,-1,0,1,1,1,0,0,1,2,0,2,1,1,1,0,-1,1,-1,0], [0,-1,1,1,-2,0,0,-1,1,1,0,0,0,1,1,0,0,0,-1,-1,0,-1], [-1,1,-1,-1,1,0,-1,0,0,0,0,-1,1,0,0,0,-1,0,1,0,0,1], [0,0,1,1,-1,0,-1,-1,1,1,-1,-1,0,0,0,0,0,0,0,0,0,0], [0,1,-2,-2,3,-1,0,0,-1,-2,0,-1,-1,-3,-2,-1,0,-1,3,2,0,2], [1,0,0,1,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0], [1,-1,1,2,-2,0,1,0,0,1,0,1,0,1,1,1,1,1,-2,-1,0,-2], [0,0,-1,-1,1,0,1,0,0,-1,0,0,-1,-1,0,0,0,-1,1,1,0,1], [-1,-1,1,0,-1,1,1,1,0,1,1,2,1,3,2,1,0,1,-2,-1,0,-1], [0,0,-1,0,1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0], [-1,1,1,0,0,0,-2,-1,0,0,-1,-1,0,0,-1,0,-1,-1,0,0,0,1], [0,1,-1,-1,1,0,0,1,-1,-1,0,0,0,-1,0,0,0,0,0,0,0,1], [0,-1,1,0,-1,1,1,0,0,0,0,1,0,1,1,0,1,0,-1,0,0,0]], [[1,0,-1,-1,1,0,1,1,-1,-1,0,1,-1,-1,0,0,1,0,0,1,-1,1], [1,-1,-1,0,0,0,2,1,0,0,1,1,0,0,1,0,1,1,0,0,0,-1], [0,1,0,-1,1,0,-1,0,0,-1,-1,-1,0,-1,-1,-1,0,-1,1,1,0,1], [0,0,0,0,0,0,0,0,1,1,0,-1,1,0,0,0,0,0,0,0,0,-1], [0,1,-1,-1,2,-1,0,0,-1,-1,0,0,-1,-2,-1,0,0,-1,1,1,0,1], [1,0,-1,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [0,0,1,1,0,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,0,1,-1], [0,0,1,0,-1,0,-1,0,2,1,-1,-1,1,1,1,0,-1,0,0,0,-1,0], [0,1,-1,0,1,-1,-1,0,0,0,0,-1,0,-1,-1,0,-1,0,1,0,0,0], [1,-1,0,1,0,0,1,0,-1,0,0,1,-1,-1,0,0,1,0,0,0,0,0], [1,-1,1,0,-1,1,1,1,1,1,0,1,0,1,1,0,1,0,-1,0,-1,-1], [0,1,-2,0,1,-1,-1,-1,-1,-1,0,-2,0,-2,-2,-1,-1,0,2,0,1,1], [-1,0,0,-1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0], [0,-1,1,0,0,0,1,0,0,0,1,2,-1,1,1,1,1,0,-1,1,-1,0], [0,0,-1,-1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,-1,-1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [-1,-1,0,-1,0,1,1,1,0,0,1,2,0,2,2,1,0,0,-1,0,-1,0], [0,0,1,2,-1,0,-1,-1,-1,0,0,0,0,0,-1,0,0,0,-1,-1,1,-1], [0,0,-1,-1,1,0,0,0,0,-1,0,-1,0,-1,-1,-1,0,-1,1,1,0,1], [0,0,0,1,-1,0,0,0,0,1,0,-1,1,0,0,0,0,1,0,-1,1,-1], [0,1,-1,0,0,-1,-1,0,0,0,-1,-1,0,-1,0,0,-1,0,1,0,0,1], [0,-1,2,1,-1,1,0,0,0,1,0,2,0,2,1,1,1,0,-2,0,-1,-1]]]], [ # Q-class [22][08] [[2], [1,2], [1,1,2], [1,1,1,2], [1,1,1,1,2], [1,1,1,1,1,2], [1,1,1,1,1,1,2], [1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]], [ # Q-class [22][09] [[4], [2,4], [1,2,4], [2,2,2,4], [2,2,1,2,4], [1,1,2,1,1,4], [1,2,1,1,2,1,4], [1,1,1,1,1,0,2,4], [1,1,1,2,1,0,1,1,4], [2,1,0,1,1,0,1,2,1,4], [1,1,2,2,1,2,1,2,0,1,4], [1,1,1,1,2,1,1,1,1,0,0,4], [2,1,1,2,2,0,1,2,0,2,2,1,4], [1,1,1,1,1,1,1,1,1,1,1,1,1,4], [0,1,1,1,1,1,1,1,1,1,1,2,1,0,4], [1,1,0,0,1,1,2,2,0,1,1,2,1,1,2,4], [0,1,2,1,1,1,1,1,1,0,1,1,1,0,2,1,4], [1,1,2,2,2,1,1,1,2,1,1,1,1,0,1,0,2,4], [2,1,0,1,1,0,1,1,1,2,0,1,1,1,1,1,0,1,4], [1,1,0,1,1,1,1,1,1,1,0,2,1,2,1,2,1,0,0,4], [2,1,1,2,2,0,0,1,1,2,1,1,2,1,1,1,1,2,1,1,4], [1,1,0,1,1,1,1,1,1,1,1,1,0,-1,2,2,1,1,1,0,1,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,1], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,-2,2,-1,1,0,0,0,1,-1,1,0,0,0,1,1,0,-1,-2,0,-1], [0,0,-1,2,0,1,0,0,0,2,-1,1,-1,0,0,1,1,-1,-1,-2,0,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,2,0,1,0,0,0,2,-1,1,-1,0,-1,1,2,-1,-1,-2,0,-1], [0,0,1,-1,0,-1,1,-1,0,0,1,0,0,0,0,-1,0,0,0,1,0,1], [1,0,-2,3,-1,0,0,0,-1,2,-1,2,-1,1,0,1,2,0,-2,-3,-1,-1], [0,0,1,-1,0,-1,0,-1,0,0,1,0,0,0,0,0,0,0,0,1,0,1], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,2,-1,0,-1,1,-1,0,0,1,0,0,-1,0,-1,-1,0,1,2,0,1], [-1,0,2,-1,1,-1,0,-1,0,0,1,-1,0,-1,0,0,-1,0,1,2,0,1], [0,0,1,-1,0,-1,0,-1,0,0,1,0,0,0,0,-1,0,0,1,1,0,1], [0,-1,3,-1,1,-2,0,-1,0,0,1,-1,0,-1,0,0,-1,0,1,3,-1,1], [0,-1,3,-3,1,-2,1,-1,0,-1,2,-1,0,-1,0,-2,-1,0,2,4,0,2], [1,-1,1,1,1,-1,0,0,-1,0,0,-1,-1,0,1,0,0,0,0,1,-1,0], [0,0,-1,2,0,1,0,0,0,1,-1,1,0,0,0,1,1,-1,-1,-2,0,-1], [-1,0,1,-1,0,0,0,-1,1,0,1,0,1,-1,-1,0,0,-1,1,1,0,1], [1,-1,2,-2,0,-2,1,-1,-1,-1,1,-1,0,0,1,-2,-1,1,1,3,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [1,0,-1,1,0,0,0,0,0,1,0,1,-1,0,0,1,1,0,-1,-1,-1,-1]], [[1,1,-4,2,-2,2,0,1,0,1,-1,2,0,1,0,1,2,0,-2,-4,0,-2], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0], [1,1,-3,3,-1,2,-1,1,0,1,-2,1,0,1,0,2,2,0,-2,-4,-1,-2], [0,1,-3,3,-1,2,-1,1,0,2,-2,2,0,1,-1,2,2,0,-2,-4,-1,-2], [0,0,0,-1,0,0,0,0,0,-1,0,0,1,1,0,-1,0,0,0,0,0,1], [0,0,0,0,0,-1,0,-1,0,1,1,1,0,0,-1,0,1,0,0,0,-1,0], [1,0,-2,3,-1,0,0,0,-1,2,-1,2,-1,1,0,1,2,0,-2,-3,-1,-1], [0,0,-1,3,0,1,-1,0,0,2,-1,1,-1,0,-1,3,2,-1,-1,-3,-1,-2], [1,0,-3,3,-1,1,0,0,0,2,-1,2,-1,1,0,2,2,0,-2,-4,-1,-2], [0,1,-2,1,-1,1,0,0,0,0,-1,1,1,1,0,0,1,0,-1,-2,0,0], [1,0,-1,2,0,0,-1,1,-1,1,-1,1,-1,1,0,1,1,0,-1,-2,-1,-1], [1,1,-4,3,-2,2,0,1,0,1,-2,2,0,1,0,1,2,0,-2,-4,0,-2], [0,0,-1,2,0,0,-1,0,0,1,-1,0,0,1,0,2,1,0,-1,-2,-1,-1], [1,0,-1,2,0,0,0,0,-1,1,-1,1,-1,1,0,1,1,0,-1,-2,-1,-1], [1,0,-1,1,0,-1,0,0,-1,1,0,1,-1,1,0,0,1,0,-1,-1,-1,0], [0,0,-1,2,0,1,0,0,0,1,-1,1,0,0,-1,1,1,-1,-1,-2,0,-1], [0,0,-1,2,0,1,-1,0,0,1,-1,1,0,0,-1,2,1,0,-1,-2,-1,-1], [1,0,-2,2,-1,0,0,0,-1,1,0,1,-1,1,0,1,1,1,-1,-2,-1,-1], [1,0,-2,3,0,1,-1,1,0,2,-2,1,-1,1,0,2,2,-1,-2,-4,-1,-2], [1,1,-4,4,-1,2,-1,1,0,2,-2,2,-1,1,0,3,2,0,-3,-5,-1,-3], [1,0,-1,1,0,0,0,0,-1,1,0,1,-1,1,0,0,1,0,-1,-1,-1,0]]]], [ # Q-class [22][10] [[6], [2,6], [2,1,6], [1,1,3,6], [1,1,3,3,6], [2,0,2,2,2,6], [2,2,3,2,3,2,6], [1,1,2,3,2,3,2,6], [3,0,2,2,1,1,1,3,6], [1,0,3,3,1,2,2,2,3,6], [0,1,2,3,2,1,3,3,0,2,6], [1,1,1,1,2,3,1,1,1,3,0,6], [2,0,2,2,3,2,3,3,2,1,2,1,6], [0,1,1,2,2,3,3,2,0,2,3,3,2,6], [1,0,3,2,3,2,3,3,2,3,3,1,2,2,6], [1,1,2,0,2,2,3,2,2,2,0,2,2,2,2,6], [1,3,2,2,3,1,1,2,1,0,2,0,1,1,2,2,6], [2,0,1,2,1,2,2,2,2,3,2,0,3,2,2,2,1,6], [0,2,1,2,3,1,2,2,1,2,2,3,2,2,1,2,2,1,6], [1,1,2,2,3,2,2,1,1,2,1,3,0,2,3,2,2,0,3,6], [2,1,2,3,1,2,1,3,3,2,1,0,1,0,2,1,3,2,0,1,6], [2,1,3,3,2,3,1,2,3,3,0,3,1,1,2,2,2,0,2,3,2,6]], [[[1,2,-1,0,1,2,-4,-2,0,3,1,-4,2,1,0,2,-2,-3,1,1,1,-1], [1,2,-1,-1,2,2,-4,-2,0,3,1,-5,2,2,0,2,-3,-3,1,1,2,-1], [0,3,-1,-1,2,2,-4,-3,1,2,2,-4,2,1,0,2,-3,-2,0,1,1,0], [0,2,0,0,1,2,-3,-3,1,-1,2,-2,1,0,1,2,-3,-1,1,0,1,0], [0,2,-1,0,1,2,-2,-2,1,2,1,-3,2,0,0,1,-1,-2,0,1,0,-1], [0,1,0,0,0,1,-1,-1,0,1,0,-1,1,0,0,0,0,-1,0,1,0,-1], [0,3,-1,-1,2,3,-4,-3,1,3,2,-5,2,1,0,2,-3,-3,1,1,1,-1], [1,0,0,-1,1,0,-1,0,-1,2,0,-2,1,1,-1,0,0,-1,0,1,0,0], [0,1,0,-1,1,0,-2,-1,0,0,2,-1,1,0,-1,1,-2,0,0,1,1,1], [-1,2,0,-1,1,1,-2,-2,1,-1,2,-1,1,0,0,1,-3,0,0,1,1,1], [0,2,0,0,1,2,-3,-3,1,0,2,-3,1,1,1,2,-3,-2,1,0,1,0], [0,1,-1,-1,1,1,-1,0,0,3,0,-2,2,0,-1,0,0,-2,-1,2,0,-1], [1,2,-1,-1,2,2,-3,-1,0,4,1,-4,2,1,-1,1,-1,-3,0,1,0,-1], [-1,2,0,-1,1,2,-2,-2,1,0,2,-2,1,0,0,1,-2,-1,0,1,1,0], [0,1,-1,-1,1,1,-1,-1,0,3,0,-3,2,1,-1,0,0,-2,0,1,0,0], [-1,2,0,-1,1,1,-2,-2,1,0,2,-1,1,0,0,1,-2,0,0,1,1,0], [0,2,0,0,1,1,-3,-3,1,-1,2,-2,1,1,1,2,-3,-1,1,0,2,0], [-1,2,1,0,0,1,-2,-2,1,-3,2,0,0,0,1,1,-3,1,1,0,1,1], [0,1,0,0,0,1,-1,-1,1,0,1,-1,1,0,0,1,-1,-1,0,1,0,-1], [0,1,-1,0,0,1,-1,-1,0,2,0,-2,2,0,0,1,0,-2,0,1,0,-1], [1,0,0,-1,1,-1,-1,0,-1,0,0,-1,0,1,0,0,-1,0,1,0,1,1], [0,2,-1,0,1,2,-3,-3,1,1,2,-2,2,0,0,2,-2,-2,0,1,1,-1]], [[1,2,-1,-1,2,2,-4,-2,0,3,1,-5,2,2,0,2,-3,-3,1,1,2,-1], [1,2,-1,0,1,2,-4,-2,0,3,1,-4,2,1,0,2,-2,-3,1,1,1,-1], [0,2,-1,-2,2,2,-3,-2,1,3,2,-4,2,1,-1,1,-2,-2,0,1,1,0], [1,1,-1,-1,2,2,-3,-1,0,4,1,-4,2,1,-1,1,-1,-3,0,1,0,-1], [0,2,-1,0,1,2,-3,-2,1,2,2,-3,2,0,0,2,-2,-2,0,1,0,-1], [0,1,0,-1,1,1,-2,-1,0,1,1,-2,1,1,0,1,-2,-1,1,0,1,0], [0,3,-1,-1,2,3,-4,-3,1,3,2,-5,2,1,0,2,-3,-3,1,1,1,-1], [0,1,0,0,0,2,-2,-2,1,0,1,-1,1,0,1,1,-1,-1,1,0,0,-1], [0,2,-1,-1,2,2,-3,-2,1,2,1,-3,2,1,0,1,-2,-2,0,1,1,-1], [0,1,-1,-2,2,1,-2,-1,0,3,1,-3,2,1,-1,0,-1,-2,0,1,1,0], [0,1,0,0,0,2,-2,-2,1,1,1,-2,1,0,1,1,-1,-2,1,0,0,-1], [-1,2,0,0,1,1,-3,-3,1,-2,3,-1,1,0,1,2,-4,0,1,0,2,1], [0,2,0,0,1,2,-3,-3,1,0,2,-2,1,0,1,2,-3,-1,1,0,1,-1], [-1,2,0,0,1,2,-3,-3,1,0,2,-2,1,0,1,2,-3,-1,1,0,1,0], [-1,1,0,-1,0,1,-1,-1,1,0,1,-1,1,0,0,0,-1,0,0,1,0,0], [-1,2,0,-1,1,1,-2,-2,1,0,2,-1,1,0,0,1,-2,0,0,1,1,0], [0,1,0,0,0,1,-2,-1,1,1,1,-1,1,0,0,1,-1,-1,0,1,0,-1], [1,0,-1,-1,1,1,-1,0,-1,5,-1,-3,2,1,-1,0,1,-3,0,1,0,-2], [0,1,0,1,0,1,-2,-2,1,0,1,-1,1,0,1,1,-1,-1,1,0,0,-1], [-1,1,0,0,0,1,-1,-1,1,0,1,-1,1,0,0,0,-1,0,0,1,0,0], [1,0,-1,-1,1,1,-1,0,0,3,0,-2,1,1,-1,0,0,-2,0,1,0,-1], [0,1,0,-2,2,0,-2,0,0,1,1,-2,1,1,-1,0,-2,0,0,1,1,1]]]], [ # Q-class [22][11] [[8], [2,8], [0,4,8], [4,4,4,8], [0,-2,-2,-3,8], [1,1,-3,0,3,8], [-1,-3,-1,-2,1,0,8], [-3,1,-1,-2,3,3,-2,8], [-1,1,-2,-2,1,4,1,1,8], [-2,-4,-3,-2,-1,1,2,1,1,8], [-3,0,-1,-2,-3,-1,1,-1,2,3,8], [-2,2,-2,-2,1,3,-1,3,2,-2,0,8], [-3,-1,-1,0,-3,1,0,0,-1,3,3,2,8], [1,1,1,2,1,1,-2,1,-1,1,0,1,1,8], [-2,0,-2,-4,1,3,1,3,3,1,2,4,0,0,8], [-1,1,-1,-2,-1,2,0,1,2,0,1,2,2,1,4,8], [-1,0,-4,-4,0,2,-2,2,1,1,4,3,2,1,4,4,8], [-2,-1,-2,-4,3,-1,0,2,1,-1,1,2,-1,0,3,1,2,8], [-1,-1,-1,-1,0,1,4,-2,2,0,2,1,2,-1,3,4,1,1,8], [0,-2,-4,-3,3,1,3,-1,1,-1,2,2,1,0,1,2,3,2,4,8], [-1,-1,-1,-1,-1,0,2,-1,3,3,4,-2,0,0,2,2,1,0,2,2,8], [-1,2,1,-1,0,0,1,0,2,-1,1,2,-1,4,1,2,1,0,0,1,0,8]], [[[0,0,0,-2,-1,1,0,0,0,-1,0,0,0,1,0,0,-1,0,0,0,0,-1], [0,1,0,-4,-3,2,0,0,-1,-1,-1,0,-1,2,-1,-1,-1,0,1,0,1,-1], [0,1,1,-3,-3,2,-1,0,-1,1,-2,0,-1,1,-1,-2,0,1,2,1,1,0], [0,0,1,-3,-3,3,-1,0,-1,0,-1,0,-1,1,-1,-1,-1,1,1,1,1,0], [-1,0,1,2,1,-1,0,-1,1,2,-1,0,0,-1,1,0,1,0,-1,1,-1,0], [-1,-1,1,2,1,0,0,-1,0,1,0,1,-1,-1,0,1,1,0,-1,0,0,0], [-1,0,-1,3,2,-3,1,0,2,0,-1,-1,1,0,2,0,2,-1,-1,0,-1,0], [0,0,1,2,2,-1,0,-1,0,2,0,1,0,-2,0,1,1,0,-1,0,0,1], [-1,0,0,0,-1,1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0], [0,-1,0,3,2,-1,0,0,0,1,1,1,0,-2,0,1,1,0,-1,0,0,1], [0,0,-2,2,2,-2,1,0,0,-1,1,0,1,0,1,1,0,-1,-1,-1,0,0], [0,0,-1,0,1,-1,0,0,0,-1,1,0,0,0,0,1,-1,-1,0,-1,0,0], [0,-1,0,1,0,0,0,0,0,0,1,1,-1,0,-1,1,0,0,0,0,0,0], [1,-1,0,-1,0,1,-1,0,-1,0,1,1,0,-1,-1,0,-1,0,1,-1,1,1], [1,-1,-1,3,4,-3,0,0,0,0,2,1,1,-2,1,2,0,-1,-1,-2,0,1], [2,-2,0,0,1,0,0,1,-1,-1,2,2,0,-1,-2,1,0,0,1,-3,1,1], [1,-1,-1,2,3,-2,1,0,0,-1,2,1,1,-1,0,2,0,-1,-1,-2,0,0], [0,1,-2,0,1,-2,1,0,1,-1,1,-1,1,1,1,1,-1,-1,-1,-1,-1,-1], [1,-2,0,2,1,-1,0,1,0,0,1,1,0,-1,0,1,0,0,0,-1,0,1], [0,-1,-1,2,2,-2,1,0,1,-1,1,0,1,0,1,1,0,-1,-1,-1,-1,0], [0,-1,0,2,1,-1,0,0,0,0,0,0,1,-1,1,0,1,0,-1,0,0,1], [1,0,-1,-3,-1,1,0,1,-1,-2,1,0,0,1,-1,-1,-1,-1,2,-2,1,0]], [[0,0,1,-3,-4,3,-1,1,-1,0,0,0,-2,1,-2,-1,-1,1,2,1,0,0], [1,0,0,-5,-3,4,-1,1,-3,-1,2,1,-2,1,-3,0,-3,1,2,-1,1,0], [0,0,-1,-2,0,1,0,0,-1,-2,1,0,0,1,-1,0,-1,0,1,-2,1,0], [1,-1,1,-4,-3,4,-1,1,-2,-1,2,1,-2,1,-3,0,-2,1,2,-1,1,0], [-1,1,-1,0,0,-1,0,0,1,0,-1,-1,0,1,1,0,0,-1,0,1,-1,-1], [0,0,0,-2,-2,2,0,1,-1,0,1,1,-2,1,-2,0,-1,0,1,0,0,-1], [-1,-1,1,3,1,-1,0,-1,1,1,-1,0,0,-1,1,0,2,0,-1,1,-1,0], [0,1,-1,-1,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,-1], [0,0,0,1,1,0,0,0,-1,1,1,1,-1,-1,-1,1,0,0,0,0,0,0], [-1,0,0,4,2,-2,1,-1,2,1,-1,-1,1,-1,2,0,2,0,-2,1,-1,0], [0,0,0,2,2,-1,0,-1,0,1,0,0,1,-2,1,0,1,0,-1,0,0,1], [0,0,0,1,1,-1,0,0,0,1,0,1,0,-1,0,1,0,0,-1,0,0,0], [0,-1,0,4,3,-2,1,-1,1,1,0,1,1,-2,1,1,2,0,-2,-1,0,1], [-2,1,0,0,-1,0,0,-1,1,1,-1,-1,-1,1,1,0,0,0,-1,2,-1,-1], [0,0,0,1,1,-1,0,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,0], [0,0,0,-1,-1,0,1,0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,-1], [0,1,0,-1,-1,0,0,0,0,1,-1,0,0,0,0,-1,0,0,0,1,0,0], [0,1,-1,2,3,-3,0,-1,1,1,0,0,1,-1,2,1,0,-1,-1,0,-1,0], [1,-2,1,2,2,-1,0,0,0,1,1,2,0,-2,-1,1,1,0,0,-1,0,1], [-1,0,1,2,0,-1,0,-1,1,2,-2,0,0,-1,1,0,2,0,-1,2,-1,0], [-1,0,2,1,-1,1,0,-1,0,2,-2,0,-1,-1,0,-1,2,1,0,2,0,0], [-2,1,0,0,-1,0,0,-1,0,1,-1,-1,-1,1,1,0,0,0,-1,2,-1,-1]]]], [ # Q-class [22][12] [[12], [3,12], [-4,-1,12], [4,4,-3,12], [4,3,2,4,12], [0,2,0,-2,0,12], [1,4,-1,2,4,-3,12], [3,4,-4,2,3,-4,4,12], [0,0,0,-2,-4,4,-4,-2,12], [4,1,2,2,4,-2,0,0,0,12], [-2,2,3,-4,1,4,-4,-2,2,-1,12], [-3,1,3,3,0,0,2,1,1,-2,0,12], [3,-1,-2,0,2,0,0,0,4,1,2,0,12], [-2,4,4,2,3,-4,1,2,-1,4,2,0,0,12], [-3,-1,2,-2,-2,1,0,0,3,-2,2,4,-2,-2,12], [3,-3,-3,3,4,0,-2,-2,0,4,2,-2,4,0,-2,12], [-4,-1,4,-1,-3,3,-3,-3,1,-2,0,1,-2,1,-2,-2,12], [-4,0,-1,-2,-2,4,0,-3,0,-4,2,2,0,-3,-2,0,2,12], [0,-3,2,1,-4,-2,0,-3,-2,2,-2,3,0,-1,2,0,2,-4,12], [4,3,-4,2,0,-2,3,0,-4,3,0,-2,0,0,-4,1,-4,-2,4,12], [2,4,0,3,2,4,0,-2,-2,4,0,-4,-3,0,0,2,2,-2,0,0,12], [4,0,-2,4,2,2,-1,4,-4,3,-4,0,-2,0,0,0,0,-4,3,1,4,12]], [[[-3,7,-2,-2,1,-8,4,-7,4,0,5,-1,-2,-5,-3,2,1,-1,0,-4,-4,9], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,1,1,-2,3,0,1,-3,1,-1,0,1,1,1,0,0,-1,-1,0,-1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [-1,3,0,0,-1,-1,1,-2,-1,1,1,-1,0,-2,0,1,1,-1,-1,-1,-3,2], [1,-2,-1,0,0,2,-1,1,-1,0,-1,1,0,2,1,-1,0,0,0,1,1,-2], [-2,3,0,0,0,-3,2,-3,1,0,2,-1,0,-3,-1,1,1,-1,-1,-1,-2,4], [-2,5,-1,-2,2,-7,2,-5,4,-1,3,-1,-1,-4,-2,1,1,0,0,-2,-2,7], [1,-1,-1,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,0,0,0,1,-1], [-1,3,0,0,-1,-3,3,-3,1,1,3,-1,-1,-3,-1,1,1,-1,-1,-2,-3,4], [2,-4,1,0,0,5,-3,5,-2,-1,-4,1,1,4,2,-1,-1,1,1,3,3,-6], [1,-1,1,0,-1,2,-1,1,-2,0,-2,1,1,1,1,0,0,0,-1,1,1,-2], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,-1,1,-1,0,0,1,-1,0,-1,0,0,0,0,0,-1,-1,1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,1,0,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,-1], [3,-6,1,1,0,5,-3,5,-2,-1,-3,1,1,5,2,-2,-1,2,1,3,4,-6], [1,-3,1,1,-1,4,-2,3,-2,0,-2,1,1,2,1,-1,-1,0,0,2,2,-4], [0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,1], [-1,1,0,-1,1,-2,1,-1,2,-1,1,0,-1,-1,-1,1,0,0,0,0,0,2], [1,-3,0,1,0,3,-1,3,-1,0,-1,0,0,2,1,-1,0,1,1,1,1,-3], [-2,5,-2,-2,2,-7,3,-6,4,0,4,-1,-2,-4,-2,1,1,0,0,-3,-3,8]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,-1,0,0,-1,1,-2,0,1,1,0,0,-1,0,0,1,-1,-1,-1,-1,1], [1,-3,2,1,0,3,-2,4,-1,-1,-3,0,1,2,2,0,0,1,0,3,2,-4], [-2,5,-1,-1,-1,-5,4,-6,2,1,4,-1,-1,-4,-2,2,1,-2,-2,-3,-4,7], [-1,2,-2,-1,1,-4,2,-4,2,0,3,0,-1,-2,-2,0,0,-1,0,-2,-1,4], [1,-3,1,1,1,2,-2,3,0,-1,-2,0,0,2,1,-1,-1,2,1,2,2,-3], [1,0,0,0,0,1,-1,0,-1,0,-1,0,0,1,1,0,0,0,0,0,0,-1], [0,0,0,0,1,-1,0,0,1,-1,0,0,0,0,0,0,0,1,1,0,1,0], [-2,3,0,0,-1,-3,2,-3,1,1,2,-1,0,-3,-1,1,0,-1,-1,-2,-2,4], [1,-2,0,1,0,1,0,1,0,0,0,0,0,1,1,-1,0,1,0,1,1,-1], [-1,2,-2,-1,2,-3,1,-3,2,0,2,0,-1,-1,-1,0,0,0,1,-2,-1,3], [-2,3,0,0,0,-3,2,-3,2,0,2,-1,-1,-3,-2,1,0,-1,0,-2,-2,4], [1,-1,0,0,1,1,-1,1,0,0,-1,0,0,1,1,-1,0,1,1,1,1,-2], [2,-6,1,0,2,4,-4,6,0,-2,-4,1,1,5,2,-2,-1,3,2,4,5,-6], [-1,2,0,-1,0,-3,1,-2,1,0,1,0,0,-2,0,1,1,0,-1,0,-1,3], [1,-2,2,1,-2,4,-1,3,-2,0,-2,0,1,2,1,0,-1,0,0,1,1,-3], [1,0,1,1,-3,3,0,1,-3,1,-1,0,1,1,1,1,0,-1,-1,0,-1,-2], [1,-2,1,0,1,2,-2,3,0,-1,-2,0,0,2,1,0,0,1,1,2,2,-3], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0]]]] ]; MakeImmutable( IMFList[22].matrices );