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Views: 418346############################################################################# ## #A imf18.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 18, ## ## [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 18. ## IMFList[18].matrices := [ [ # Q-class [18][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,-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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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]]]], [ # Q-class [18][02] [[3], [1,3], [0,1,3], [1,1,0,3], [1,1,0,1,3], [0,1,1,1,1,3], [1,0,1,1,1,1,3], [1,0,1,0,0,0,1,3], [1,1,1,0,0,1,0,1,3], [1,1,1,1,0,0,0,0,1,3], [1,0,1,0,1,0,1,0,0,1,3], [1,1,0,1,0,1,0,1,1,0,-1,3], [1,0,0,1,0,1,1,0,0,1,0,1,3], [1,1,0,0,1,0,1,1,0,0,0,1,1,3], [0,0,0,1,1,1,0,1,1,0,0,1,0,0,3], [1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,3], [1,1,1,0,0,0,0,0,0,1,1,0,1,1,-1,0,3], [1,1,0,0,0,-1,0,1,0,1,0,0,0,1,0,0,0,3]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,1,-1,0,0,0,0,-1,0,1,0,1,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [-1,1,-1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0], [0,-1,0,0,0,1,0,0,0,1,0,0,-1,1,0,0,0,0], [0,-1,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,1,1], [1,0,0,-1,0,1,0,0,-1,1,-1,0,-1,0,0,0,0,0], [-1,1,-1,-1,0,0,1,0,0,1,0,0,0,0,0,1,0,0], [-1,1,-1,0,0,0,0,1,0,0,0,-1,1,0,0,1,0,0], [-1,1,-1,0,0,0,-1,1,0,0,1,-1,1,0,0,1,0,0], [-1,-1,0,0,1,0,0,0,1,0,0,1,0,0,-1,0,0,1], [0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,-1,-1,1,0,1,0,0,0,0,1,0,-1,0,0,1,1], [0,1,0,-1,0,0,0,1,-1,1,0,0,0,0,0,0,-1,-1], [0,-1,1,1,1,0,-1,0,1,-1,0,0,0,0,-1,0,0,1], [0,1,-1,-1,0,0,0,0,0,0,0,-1,1,0,1,1,0,0], [1,0,1,0,0,0,0,0,-1,0,-1,0,0,0,0,-1,0,0]], [[-2,0,-1,0,1,0,-1,1,1,0,1,0,1,0,-1,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,0,0,1,-1,1,0,0,0,0,1,0,-1,0,0,1,0], [0,-1,0,1,0,1,-1,0,0,0,0,0,-1,1,-1,0,0,0], [1,-2,1,1,0,1,-1,0,0,0,0,0,-1,1,-1,-1,0,0], [0,-1,1,1,0,0,0,0,0,0,0,1,-1,0,-1,-1,0,0], [-1,-2,0,1,1,0,0,0,1,0,0,1,-1,0,-1,0,1,1], [-1,-1,0,0,1,0,0,0,0,0,0,1,0,-1,0,0,1,1], [-1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0], [1,0,1,0,0,0,-1,0,-1,0,0,0,0,1,0,0,-1,-1], [-1,0,0,1,1,-1,-1,1,1,-1,1,0,1,0,-1,0,0,0], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,1,1,0,0,-1,0,0,0,0,0,0,1,-1,0,-1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,1,1,-1,1,-1,0,-1,0,0,0,-1,1,0,-1,0,0], [-2,1,-2,-1,1,0,1,1,0,1,0,0,0,-1,0,1,1,0], [-2,1,-1,0,1,-1,0,1,1,-1,1,0,2,-1,-1,1,0,0], [1,0,0,-1,0,0,0,0,-1,1,-1,0,0,0,1,0,0,-1]]]], [ # Q-class [18][03] [[2], [-1,2], [0,-1,2], [0,0,-1,2], [0,0,0,-1,2], [0,0,-1,0,0,2], [0,0,0,0,0,0,2], [0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,-1,2], [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,-1,0,0,2], [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,-1,2], [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,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2,-2,-1,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]], [[-1,-2,-3,-2,-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], [0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][04] [[4], [2,4], [-2,-2,4], [-2,0,1,4], [-2,-2,2,2,4], [0,-1,1,1,2,4], [0,-1,-1,0,1,0,4], [0,-1,1,1,1,0,1,4], [-2,-2,1,1,1,0,1,0,4], [1,-1,-1,-1,-1,0,0,1,1,4], [-2,0,0,0,0,0,0,-2,0,-2,4], [-2,0,2,2,2,0,0,0,0,-2,1,4], [-2,0,2,2,2,0,-1,1,1,-1,0,2,4], [-2,-1,2,0,0,-1,-2,-1,1,0,1,1,1,4], [2,2,-2,-1,-2,-2,0,1,-2,1,-1,-1,-1,-1,4], [-2,0,0,1,0,-2,0,-1,2,0,1,1,1,2,0,4], [2,1,0,-2,-2,-1,0,1,-1,1,-1,-1,-1,0,2,-1,4], [2,2,-2,-2,-2,0,-1,-1,-1,1,0,-2,-1,-1,1,-1,1,4]], [[[-2,-1,-2,-1,-1,2,-1,0,1,-2,-2,1,0,0,1,0,1,0], [0,0,1,0,0,0,0,-1,1,0,0,0,0,0,1,-1,0,0], [1,2,1,0,1,-1,0,1,0,1,1,0,-1,0,-1,0,-1,0], [2,-1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1], [1,-1,0,1,-1,0,1,0,-1,0,0,0,1,0,-1,1,0,1], [0,-2,-2,0,-2,2,0,1,0,-2,-1,1,1,1,0,1,0,1], [0,-2,-2,0,-1,1,0,0,-1,-1,-1,0,1,0,-1,1,1,0], [1,-3,-3,0,-2,2,0,1,0,-2,-1,2,1,1,0,1,1,1], [0,3,1,-1,2,-1,0,1,0,2,1,-1,-1,0,-1,0,-1,-1], [-1,-1,-2,-1,0,1,-1,1,0,-1,-1,1,0,0,0,1,1,0], [1,0,2,1,0,-1,1,-1,-1,1,1,-1,0,0,0,0,-1,0], [2,0,2,2,1,-2,1,-1,-1,1,1,-1,0,0,-1,0,0,1], [2,0,2,1,0,-1,1,0,0,1,1,0,0,0,0,0,-1,1], [0,4,3,0,3,-3,0,0,0,3,2,-1,-2,-1,-1,-1,-1,-1], [0,-2,-1,0,-1,1,0,-1,0,-1,-1,1,1,0,1,0,1,0], [0,4,4,0,3,-3,1,-1,-1,4,2,-2,-1,-1,-1,-1,-1,-1], [-1,1,-1,-2,0,1,-1,1,1,-1,-1,1,-1,0,0,0,0,-1], [-1,-1,-1,-1,-1,1,-1,0,1,-1,-1,1,0,0,1,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,1,1,-1,0,1,-1,-1,0,-1,0,0,0,0,0,0,1], [-2,1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0], [-1,-1,0,0,-1,0,1,-1,-1,0,-1,0,1,0,0,0,0,0], [1,-2,1,1,-1,-1,1,-1,-1,0,0,0,1,0,0,0,0,1], [-1,4,2,-2,2,-1,0,0,1,2,1,-1,-1,-1,0,-1,-1,-2], [-2,3,2,-1,1,-1,0,0,0,2,0,-1,-1,-1,0,-1,-1,-1], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [1,-1,-1,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [-2,1,1,0,0,0,1,-1,-1,0,-1,-1,0,0,0,0,0,0], [-1,-1,0,1,-1,0,1,-1,-1,0,-1,0,1,0,0,0,0,1], [0,-3,-2,1,-1,1,-1,0,0,-2,-1,1,0,0,0,1,1,1], [-1,2,-1,-1,1,0,-1,1,1,0,0,0,-1,0,0,-1,0,-1], [-1,2,-1,-1,1,0,-1,1,1,0,0,0,-1,0,-1,0,0,-1], [0,1,1,0,0,0,0,0,1,0,0,0,-1,0,1,-1,-1,0], [2,-1,0,1,-1,0,0,0,0,0,1,0,1,0,0,0,0,0]]]], [ # Q-class [18][05] [[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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][06] [[3], [1,3], [0,1,3], [-1,1,1,3], [1,0,1,-1,3], [-1,-1,1,0,1,3], [0,0,0,0,0,0,3], [0,0,0,0,0,0,1,3], [0,0,0,0,0,0,0,1,3], [0,0,0,0,0,0,-1,1,1,3], [0,0,0,0,0,0,1,0,1,-1,3], [0,0,0,0,0,0,-1,-1,1,0,1,3], [0,0,0,0,0,0,0,0,0,0,0,0,3], [0,0,0,0,0,0,0,0,0,0,0,0,1,3], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,3], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,3], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,-1,3], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,1,3]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [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,-1,1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][07] [[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], [0,0,0,0,0,0,0,0,0,2], [0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2]], [[[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [18][08] [[5], [0,5], [0,0,5], [1,-1,0,5], [-1,0,-1,1,5], [0,-1,1,1,1,5], [-1,-1,1,-1,-1,-1,5], [1,-1,0,0,-1,-1,-1,5], [-1,-1,-1,-1,-1,1,-1,0,5], [1,1,-1,-1,1,-1,0,0,0,5], [1,-1,-1,-1,1,0,-1,1,-1,-1,5], [-1,-1,-1,0,1,-1,-1,-1,0,-1,1,5], [-1,0,-1,0,0,-1,1,-1,-1,1,-1,0,5], [0,0,0,-1,1,1,0,-1,-1,0,1,-1,1,5], [0,0,0,-1,-1,1,-1,-1,1,1,0,1,-1,0,5], [1,-1,0,0,1,0,1,0,1,1,0,-1,-1,-1,-1,5], [1,-1,0,0,0,-1,1,0,-1,-1,1,1,1,-1,-1,0,5], [-1,0,-1,-1,0,0,-1,1,1,-1,0,-1,0,1,-1,0,1,5]], [[[-1,-1,-1,-1,-1,0,-2,-1,-1,0,-1,-1,-1,0,-1,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,1,0,1,-1,1,1,0,0,1,1,1,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0], [1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,-1,1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,-1,0,0,0,-1,0,-1,0,0,1,0,0,0], [0,-1,-1,-1,0,0,-1,0,-1,-1,-1,-1,0,0,0,0,0,-1], [-1,0,0,0,-1,0,-1,0,0,1,0,0,-1,1,-1,0,1,-1], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [-1,0,-1,0,-1,0,-1,0,-1,0,-1,0,-1,1,0,1,1,-1], [-1,-1,0,0,-1,0,-1,-1,-1,1,0,0,-1,0,-1,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[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,-1,0,0,1,-1,0,0,-1,0], [1,1,1,1,1,0,2,1,1,0,1,1,1,0,1,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-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], [-1,0,0,1,-1,0,0,0,0,1,1,0,0,0,0,0,0,0], [1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0], [0,-1,-1,-1,0,0,-1,0,-1,-1,-1,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-2,0,-1,0,-2,1,-1,0,-1,1,0,0,-1,1,-1,1,1,-1], [-1,0,0,0,-1,0,-1,0,0,0,0,0,0,1,0,1,1,-1], [0,-1,0,-1,0,0,-1,0,-1,0,-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], [0,1,0,1,-1,1,1,0,0,1,1,1,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,-1,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,0,1,-1,0,0,0,0,1,1,0,0,0,0,0,0,0], [1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,-1,1], [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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,-1,0,-1,1,-1,-1,0,0,-1,-1,-1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [-1,1,0,1,-1,1,0,1,0,1,0,1,0,1,0,1,1,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,-1,0,0,0,-1,-1,-1,0,0,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][09] [[6], [0,6], [0,0,6], [0,0,-2,6], [-2,0,-2,0,6], [0,0,0,-2,0,6], [-2,0,0,0,0,-2,6], [0,-2,-2,0,-2,1,1,6], [-2,0,1,0,0,1,0,0,6], [0,-2,1,0,0,0,1,0,-2,6], [1,-2,0,-2,1,-2,0,0,0,-2,6], [0,-2,0,0,1,1,0,0,1,0,0,6], [1,0,-2,0,0,1,0,0,-3,1,0,-2,6], [0,0,0,-2,1,0,1,0,0,1,0,-2,0,6], [-2,1,0,-2,0,0,0,1,-2,0,0,0,1,-2,6], [-2,-2,1,1,0,0,-2,0,0,0,0,-2,0,0,0,6], [0,1,0,0,-2,-2,0,0,1,0,0,-3,1,1,0,1,6], [0,0,0,1,0,-3,1,-2,-2,0,1,1,1,0,0,0,1,6]], [[[-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,-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,-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,-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,-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,-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,-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,-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,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]], [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,1,-1,1,-1,0,1,0,-1,-1,0,1,-1,-1,0,0,0], [0,0,-1,-2,0,-1,0,0,0,0,-1,0,0,-1,-1,0,0,0], [-1,2,0,1,-1,0,0,0,0,1,2,2,1,1,0,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0], [0,-2,0,0,0,0,0,-1,0,-1,-1,-1,0,0,0,-1,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [1,-1,0,2,0,2,1,-1,0,0,1,0,-1,1,2,0,1,0], [-2,-1,1,0,0,0,-1,0,-2,-1,0,0,0,0,-1,-2,1,-1], [1,0,-1,0,0,0,0,0,2,1,0,-1,0,0,1,0,-1,1], [0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,1,0,0,0,0,0,-2,-1,-1,0,-1,0,1], [2,0,0,0,1,0,1,0,1,0,-1,0,0,0,1,1,0,0], [0,1,-1,0,-1,0,0,-1,0,1,1,1,0,0,0,1,0,-1], [-1,0,1,0,1,0,-1,1,-1,0,0,0,0,-1,-1,-1,1,0], [0,2,0,0,0,0,0,1,0,1,1,1,0,0,-1,1,0,0]], [[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0], [1,-1,-1,0,0,1,1,-1,0,0,0,-1,-1,0,1,0,0,0], [0,0,0,-1,0,-1,0,0,1,0,-1,0,1,0,0,0,-1,0], [-1,0,0,1,0,1,0,0,-1,0,1,0,-1,0,0,-1,1,0], [-1,-1,0,-1,0,-1,-1,0,-1,-1,-1,-1,0,-1,-1,-1,0,0], [1,-1,0,-1,1,0,0,0,1,0,-1,-1,0,-1,0,0,0,1], [-1,0,0,1,-1,0,0,-1,-1,0,1,1,0,1,0,0,0,-1], [1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,0], [0,-1,1,0,1,0,0,0,-1,-1,-1,0,0,0,0,-1,1,0], [0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,-1,1], [-1,1,1,0,0,-1,-1,1,-1,0,0,1,1,0,-1,0,0,-1], [0,0,0,-1,0,-1,0,0,0,0,-1,0,0,-1,-1,0,0,0], [0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,1,-1,1,0,-1,0,0,1,0,0,1,1,0,0,0], [1,0,-1,-1,0,-1,0,0,1,0,-1,0,0,0,0,1,-1,0], [-1,1,0,-1,0,-1,-1,1,0,0,0,1,1,0,-1,0,0,0], [1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0], [-1,1,0,0,-1,0,0,0,-1,0,1,1,0,0,-1,0,0,-1]]]], [ # Q-class [18][10] [[4], [2,4], [2,2,4], [2,2,2,4], [2,2,2,2,4], [2,2,2,2,2,4], [2,2,2,2,2,2,4], [2,2,2,2,2,2,2,4], [2,2,2,2,2,2,2,2,4], [2,1,1,1,1,1,1,1,1,4], [1,2,1,1,1,1,1,1,1,2,4], [1,1,2,1,1,1,1,1,1,2,2,4], [1,1,1,2,1,1,1,1,1,2,2,2,4], [1,1,1,1,2,1,1,1,1,2,2,2,2,4], [1,1,1,1,1,2,1,1,1,2,2,2,2,2,4], [1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,4], [1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,4], [1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,-1,1], [0,0,1,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,1], [0,0,0,1,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,-1,0,1], [0,1,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,1], [0,0,0,0,0,1,0,0,-1,0,0,0,0,0,-1,0,0,1], [1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1], [0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,1]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0], [1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [1,0,0,0,-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], [0,0,0,0,0,0,0,0,0,1,-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], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [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], [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,-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], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1], [0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0], [0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0]]]], [ # Q-class [18][11] [[2], [1,2], [1,1,2], [1,1,1,2], [1,1,1,1,2], [1,1,1,1,1,2], [0,0,0,0,0,0,2], [0,0,0,0,0,0,1,2], [0,0,0,0,0,0,1,1,2], [0,0,0,0,0,0,1,1,1,2], [0,0,0,0,0,0,1,1,1,1,2], [0,0,0,0,0,0,1,1,1,1,1,2], [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], [0,0,0,0,0,0,0,0,0,0,0,0,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [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,-1,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]], [[-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,-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,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][12] [[4], [0,4], [2,-2,4], [2,1,1,4], [1,-1,1,2,4], [0,-1,2,1,2,4], [0,0,0,0,0,0,4], [0,0,0,0,0,0,0,4], [0,0,0,0,0,0,2,-2,4], [0,0,0,0,0,0,2,1,1,4], [0,0,0,0,0,0,1,-1,1,2,4], [0,0,0,0,0,0,0,-1,2,1,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,2,-2,4], [0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,1,2,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,-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], [0,0,0,1,-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], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [18][13] [[6], [2,6], [2,2,6], [2,2,2,6], [2,1,2,2,6], [2,2,1,2,2,6], [0,-1,2,2,1,0,6], [2,2,2,1,2,0,0,6], [1,0,2,2,2,2,0,2,6], [1,2,0,2,2,2,2,0,-2,6], [2,2,-2,0,0,1,-1,2,0,2,6], [2,2,1,2,0,-2,1,2,0,0,1,6], [1,2,2,0,2,0,2,2,-2,2,0,2,6], [-1,0,1,0,2,2,2,-1,1,1,0,-1,0,6], [0,2,2,0,2,1,2,1,0,2,-1,1,2,2,6], [-1,0,0,1,2,-1,2,2,1,0,1,2,1,2,1,6], [0,2,0,2,2,1,2,1,0,2,2,0,2,1,0,2,6], [2,1,0,0,2,0,0,0,-2,2,2,2,2,2,1,2,1,6]], [[[-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,-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,-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,-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,-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,-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,-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,-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,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]], [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [-1,0,0,0,1,0,1,0,0,-1,1,0,0,-1,0,-1,0,1], [1,-1,1,-1,0,0,-1,-1,0,1,0,1,0,0,0,1,1,-1], [1,-1,0,0,0,0,-1,0,-1,0,0,1,0,1,0,0,1,-1], [-1,2,-1,-1,1,0,2,0,1,0,0,0,0,-1,-1,-1,-1,1], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,1,0,1,0,-1,-1,-1,0,1,1,0,0,0,0,0,-1], [0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,0,0,0], [-1,1,0,0,1,0,1,0,0,-1,1,-1,0,-1,0,0,-1,1], [0,1,0,-1,1,0,1,0,0,0,0,0,0,0,-1,0,-1,0], [2,-1,0,0,-1,-1,-2,-1,0,1,0,0,1,1,1,1,1,-2], [1,0,0,0,0,0,-1,-1,0,0,0,0,1,0,0,1,0,-1], [0,1,0,-1,1,0,1,0,0,0,0,0,-1,-1,0,0,0,0], [-1,2,-1,-1,2,0,3,0,0,-1,0,0,-1,-1,-1,-1,-1,1], [1,-1,1,0,0,0,-1,-1,-1,0,1,0,0,0,1,1,0,-1]], [[-2,1,0,-1,1,1,2,1,0,0,0,1,-1,-1,-1,-1,-1,1], [0,1,-1,-1,-1,0,1,1,1,1,-2,0,0,0,-1,0,0,1], [1,-2,1,0,-1,0,-2,0,-1,1,0,1,0,1,1,1,1,-2], [0,1,-1,0,0,-1,1,0,1,0,0,-1,1,0,0,0,-1,0], [0,-1,1,-1,0,0,-1,0,0,1,0,1,0,0,0,0,1,-1], [0,0,0,0,-1,0,0,0,1,0,0,0,1,0,0,0,0,0], [1,-1,1,1,0,-1,-2,-1,-1,0,1,0,1,1,1,1,0,-2], [0,1,0,-1,0,0,1,1,0,1,-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,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [-1,2,-1,0,0,0,2,1,1,0,-1,-1,0,-1,-1,-1,-1,2], [-1,2,-1,-1,1,0,2,1,0,0,-1,0,-1,0,-1,-1,-1,1], [1,-1,1,-1,-1,0,-2,0,0,2,-1,1,0,1,0,1,1,-1], [1,-1,0,1,-1,-1,-2,0,0,0,0,0,1,1,1,0,1,-1], [0,-1,1,0,0,0,-1,0,-1,0,0,1,0,1,0,0,1,-1], [0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0], [1,0,0,0,-1,-1,-1,0,1,1,-1,-1,1,0,0,1,0,0], [-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,1]]]], [ # Q-class [18][14] [[9], [1,9], [2,3,9], [3,3,1,9], [3,3,3,3,9], [3,3,1,2,3,9], [3,3,3,0,3,-1,9], [0,-1,3,1,1,2,1,9], [1,2,3,3,3,3,1,1,9], [0,3,1,3,0,0,3,3,2,9], [1,1,3,1,2,3,3,3,3,3,9], [3,3,0,1,-1,1,3,1,0,3,3,9], [0,1,3,3,3,0,3,3,1,3,2,2,9], [3,2,3,2,1,1,3,2,1,3,3,1,1,9], [1,0,-1,3,3,3,0,3,1,3,3,2,1,1,9], [3,3,1,1,1,3,3,3,-1,1,2,2,-1,3,0,9], [3,0,3,3,2,1,0,3,-1,-1,1,3,3,3,3,2,9], [2,1,1,3,1,0,1,3,-1,3,-3,-1,1,-1,1,0,-1,9]], [[[-3,-3,2,1,2,1,0,-2,0,0,-1,3,-1,1,0,1,-1,1], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,1], [0,0,-1,-1,0,0,0,-1,1,0,1,0,0,0,0,0,1,1], [-2,-2,1,2,1,2,2,0,-1,1,-1,1,-2,0,-1,-1,0,-1], [0,0,0,-1,0,-1,-1,-1,1,-1,1,0,1,0,1,1,0,1], [-1,-1,0,0,0,1,1,-1,0,0,0,0,0,0,0,0,1,1], [1,2,-2,-1,-1,-1,0,0,1,0,2,-2,0,-1,0,0,2,1], [0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1], [-1,-2,1,2,1,1,1,0,-1,0,-1,1,-1,0,0,0,-1,-1], [-2,-2,1,1,1,0,0,-1,0,-1,0,2,0,1,0,1,-1,1], [1,1,-1,-1,-1,-1,0,0,1,-1,1,-1,1,0,1,0,0,1], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,0,1,1,1,1,0,-1,0,0,1,-1,0,-1,-1,0,0], [-2,-2,1,0,1,1,0,-2,0,0,0,1,0,1,0,1,0,1], [-1,-1,0,0,1,0,0,-1,0,0,0,1,0,1,0,0,0,1], [-1,-1,1,0,0,1,0,-1,0,0,0,1,0,0,0,0,0,1]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,1,1,0,0,1,-1,0,-1,1,-1,0,0,-1,-1,-1], [2,3,-2,-2,-1,-2,-1,0,1,-1,2,-2,1,0,1,0,1,1], [0,-1,1,1,1,1,1,1,-1,1,-2,1,-1,0,0,-1,-1,-2], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,1,1,1,0,0,0,-1,0,-1,1,0,0,0,0,-1,-1], [1,1,-1,-1,0,-1,-1,0,1,0,1,-1,0,0,0,0,1,1], [1,1,-1,0,0,-1,0,1,0,0,0,-1,0,0,0,0,0,-1], [-1,-1,0,0,1,0,0,-1,0,0,0,1,0,1,0,0,0,1], [0,0,0,1,0,0,1,1,0,0,-1,0,-1,0,0,-1,0,-1], [0,0,0,-1,0,-1,-1,-1,1,-1,0,0,1,1,1,1,0,1], [-1,-2,2,2,1,1,0,0,-1,0,-2,2,-1,1,0,0,-2,-1], [1,1,-1,0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,-1], [2,2,-1,-1,-1,-2,-1,1,1,-1,1,-1,1,0,1,0,0,0], [-1,-2,2,2,1,1,1,0,-1,1,-2,1,-1,0,0,0,-1,-2], [0,-1,1,1,1,0,0,1,-1,0,-1,1,-1,0,0,0,-1,-1], [1,0,1,1,0,0,0,1,-1,0,-1,0,0,0,1,0,-2,-2], [1,1,-1,0,0,0,1,1,0,1,0,-1,-1,-1,-1,-1,1,-1]]]], [ # Q-class [18][15] [[6], [1,6], [1,3,6], [-3,0,0,6], [3,-1,0,-1,6], [0,-1,1,1,-1,6], [-1,2,1,0,-2,0,6], [0,1,0,-1,0,1,-1,6], [1,0,-1,-1,1,1,1,-1,6], [-2,1,0,1,-3,0,3,0,-2,6], [-2,0,1,-1,-3,-1,1,0,0,1,6], [1,-2,-3,-1,-1,-1,-1,1,0,0,1,6], [-1,-2,-3,-1,0,0,0,0,-1,0,-1,1,6], [1,3,1,1,-2,-1,1,-1,0,1,1,1,-1,6], [2,3,2,-1,-1,0,3,0,0,2,0,-1,-1,2,6], [2,1,1,1,1,0,0,1,1,0,-1,0,-3,1,1,6], [1,3,2,0,0,-1,-1,0,1,0,0,-1,-3,2,1,2,6], [2,2,1,1,1,-1,-2,-1,0,-1,-1,0,-1,3,1,1,3,6]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,0,1,1,-1,-1,-1,0,1,1,0,0,1,-1,0,0,0,0], [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,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [-1,1,-1,-1,1,1,0,-1,-1,0,0,0,-1,0,0,0,0,0], [1,0,0,1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0], [-1,1,0,-1,0,0,-1,-1,0,0,0,0,0,0,0,1,-1,0], [-1,1,0,0,1,1,0,-1,0,0,0,1,0,0,0,0,0,0], [1,0,0,0,-1,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,-1,-1,0,0,0,0,0,0,0,0], [1,0,0,1,0,0,0,0,0,0,1,0,1,-1,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,1], [-2,1,0,-1,1,1,-1,-1,0,0,0,1,0,0,1,1,0,0], [0,0,1,0,0,0,-1,0,1,1,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0]], [[-2,1,0,-1,1,1,0,-1,-1,0,0,1,0,0,0,1,0,0], [-1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [-1,1,0,-1,1,1,0,-1,-1,0,0,1,0,0,0,1,0,0], [-1,0,-1,-1,0,1,1,0,-1,-1,0,0,-1,0,0,0,0,1], [1,0,-1,1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0], [-1,0,0,-1,0,0,0,0,0,0,-1,0,-1,1,0,0,-1,0], [0,1,-1,0,1,1,0,0,-1,0,1,0,0,0,0,0,0,0], [1,-1,0,1,-1,-1,0,1,1,0,0,-1,0,0,0,0,0,0], [2,-1,0,1,-1,-1,0,1,1,1,0,-1,0,0,-1,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,2,0,-1,1,1,-1,-1,0,0,0,1,0,0,0,1,-1,0], [-1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0], [-1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0]]]], [ # Q-class [18][16] [[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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [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,-1,0,0,0,0,1], [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,-1,0,0,0,0,0,0,1], [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,-1,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,-1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0], [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,-1,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]], [ # Q-class [18][17] [[10], [2,10], [4,2,10], [3,4,2,10], [2,2,2,0,10], [0,4,2,4,1,10], [4,2,4,2,2,-2,10], [2,2,2,3,4,1,4,10], [1,2,1,2,2,4,0,3,10], [4,3,2,2,2,-2,4,2,2,10], [2,3,-2,2,4,3,2,4,2,-2,10], [3,4,1,2,1,2,3,3,4,2,1,10], [4,2,4,0,4,3,2,2,3,4,2,1,10], [3,2,2,2,-2,2,2,2,4,3,2,2,1,10], [4,1,2,2,4,2,2,2,2,-2,4,3,-1,2,10], [0,3,2,2,2,2,4,4,2,4,2,-2,2,2,-2,10], [1,4,2,-2,0,2,3,0,2,2,1,4,3,4,2,2,10], [2,2,3,0,2,2,2,2,0,2,3,-1,2,4,2,3,4,10]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,-1,2,-1,0,2,0,1,1,2,2,-2,-3,-1,-2,-2,2,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,1,-1,0,1,0,0,0,1,1,0,-1,0,-1,-1,0,0], [1,-2,3,-1,0,4,1,2,1,5,4,-4,-6,-2,-3,-5,4,-2], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,1,-1,0,2,1,1,0,2,1,-2,-2,0,-1,-2,1,-1], [1,0,1,-1,0,2,1,1,1,2,2,-3,-3,-1,-2,-3,2,-1], [1,0,0,0,0,1,0,1,0,0,0,-1,-1,0,-1,-1,1,0], [-1,0,1,-1,-1,0,0,0,0,1,1,0,0,0,1,0,-1,0], [1,-1,1,-1,0,3,1,1,1,3,2,-3,-3,-1,-2,-3,2,-1], [0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,-1,1,0], [-1,1,-1,0,-1,-2,-1,-1,-1,-2,-1,2,3,1,2,3,-2,1], [-1,0,0,0,-1,-1,0,-1,0,0,0,1,1,0,1,1,-1,1], [1,0,1,-1,0,1,0,1,0,1,1,-1,-2,0,-1,-1,1,-1], [0,0,0,0,-1,-1,-1,0,0,0,0,0,1,0,1,1,0,0], [-1,1,-1,0,-1,-2,-1,-1,-1,-2,-2,2,3,1,3,3,-2,1]], [[-2,1,-2,1,-1,-3,0,-1,-1,-3,-3,3,5,1,3,3,-3,2], [0,0,0,0,1,1,1,0,0,0,0,0,-1,0,-1,-1,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [1,-1,1,0,1,2,1,1,1,2,1,-2,-3,-1,-2,-3,2,-1], [-1,1,-1,0,-1,-2,0,-1,0,-2,-1,2,3,0,2,2,-2,1], [1,-1,1,0,1,2,1,1,1,1,1,-2,-3,-1,-2,-2,2,-1], [-1,1,-1,0,0,-2,0,-1,-1,-2,-2,2,3,1,2,2,-2,1], [-1,0,0,0,0,-1,0,-1,0,0,0,1,1,0,1,1,-1,0], [0,0,1,-1,0,2,1,1,1,2,1,-2,-2,-1,-1,-2,1,-1], [-1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [-1,1,-1,0,0,-1,1,-1,0,-2,-2,1,2,1,1,1,-2,1], [-1,0,1,0,-1,0,0,0,0,1,1,0,0,-1,1,0,0,0], [1,-2,3,-1,1,4,1,2,1,5,4,-4,-6,-2,-4,-5,4,-2], [0,0,-1,0,0,0,1,0,0,-1,-1,0,1,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,1,1,0,0,0,0,-1,-1,0,-1,-1,1,0], [0,0,0,1,1,-1,0,0,0,-1,0,0,0,0,-1,0,1,0]]]] ]; MakeImmutable( IMFList[18].matrices );