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Views: 418346############################################################################# ## #A imf14.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 14, ## ## [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 14. ## IMFList[14].matrices := [ [ # Q-class [14][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,-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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [14][02] [[2], [-1,2], [0,-1,2], [0,0,-1,2], [0,0,0,-1,2], [0,0,0,0,-1,2], [0,0,-1,0,0,0,2], [0,0,0,0,0,0,0,2], [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], [0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,-1,0,0,0,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,-1,-1,-2,-2,-2,-1,-1], [0,0,0,0,0,0,0,2,3,4,3,2,1,2], [0,0,0,0,0,0,0,0,-1,-2,-2,-1,0,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0]], [[-1,-2,-3,-3,-2,-1,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0], [1,2,2,1,1,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,1,2,1,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [14][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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,1], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0], [-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [14][04] [[4], [1,4], [1,1,4], [1,-1,1,4], [1,1,-1,1,4], [1,1,1,-1,1,4], [1,-1,1,1,-1,1,4], [1,-1,-1,1,1,-1,1,4], [1,-1,-1,-1,1,1,-1,1,4], [1,-1,-1,-1,-1,1,1,-1,1,4], [1,1,-1,-1,-1,-1,1,1,-1,1,4], [1,1,1,-1,-1,-1,-1,1,1,-1,1,4], [1,-1,1,1,-1,-1,-1,-1,1,1,-1,1,4], [1,1,-1,1,1,-1,-1,-1,-1,1,1,-1,1,4]], [[[1,0,0,0,0,-1,-1,0,-1,1,-1,0,-1,-1], [0,1,0,1,0,-1,0,-1,1,1,0,0,-1,-1], [0,0,-1,1,0,1,-1,0,-1,1,0,1,0,-1], [1,0,0,-1,0,0,-1,1,-1,0,0,-1,1,-1], [1,0,1,0,-1,-1,-1,0,1,0,0,-1,-1,0], [0,0,0,1,-1,0,-1,0,0,1,0,0,-1,0], [0,0,-1,0,0,0,0,0,-1,0,0,0,1,-1], [0,-1,1,-1,1,-1,0,0,0,0,0,0,0,0], [0,-1,1,0,0,0,-1,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,1,-1,1,-1,0,0,0,0,0,-1], [0,-1,0,0,1,0,0,-1,0,0,0,1,-1,0], [0,0,0,0,0,1,-1,1,-1,0,0,0,0,0], [1,1,0,0,0,-1,0,0,0,0,0,-1,0,-1]], [[-1,0,-1,0,0,1,1,0,0,-1,0,1,1,1], [-1,0,1,-1,1,0,1,1,0,0,0,0,1,1], [-1,0,0,0,0,0,1,0,1,0,0,0,0,1], [0,-1,0,0,0,0,0,-1,0,0,0,1,-1,1], [0,0,0,-1,1,0,0,0,-1,0,0,0,1,0], [0,1,-1,0,0,0,1,0,0,0,-1,0,1,0], [0,0,-1,1,-1,1,0,0,0,0,-1,1,-1,1], [0,0,-1,0,0,1,0,0,-1,0,0,1,0,0], [0,1,-1,0,0,0,0,0,0,0,0,0,1,-1], [1,0,-1,0,-1,0,0,0,0,-1,-1,0,0,0], [0,0,0,0,-1,1,0,1,0,-1,0,0,0,1], [-1,0,0,0,0,1,0,1,0,0,1,0,1,0], [0,-1,0,0,0,0,0,-1,1,-1,1,0,0,0], [0,-1,1,-1,0,0,0,0,0,-1,0,0,0,1]]]], [ # Q-class [14][05] [[3], [-1,3], [1,1,3], [1,0,1,3], [0,1,0,-1,3], [0,1,0,-1,1,3], [-1,0,-1,0,0,0,3], [0,-1,0,0,0,0,-1,3], [0,1,0,0,0,0,1,-1,3], [-1,0,0,0,-1,0,1,1,0,3], [0,-1,-1,0,0,-1,0,1,0,1,3], [1,-1,0,1,0,-1,0,0,1,-1,1,3], [-1,1,0,-1,1,0,1,0,1,1,1,0,3], [-1,0,0,0,0,-1,0,1,0,0,0,1,1,3]], [[[-1,-2,0,1,1,1,-1,-1,1,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,-1,0,0,1,0,-1,-1,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,1,-1,0,0], [1,1,0,-1,0,-1,1,1,0,0,0,0,-1,0], [0,1,0,-1,-1,0,0,0,-1,0,0,1,0,0], [0,-1,0,0,0,0,0,0,1,0,0,-1,0,0], [0,1,1,-1,-1,0,1,1,0,-1,1,0,-1,0], [-1,-1,1,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,-1,0,1,0], [0,0,1,-1,0,0,1,0,0,0,1,0,-1,0], [1,1,0,-1,-1,0,1,0,-1,0,0,1,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1], [0,1,0,0,0,0,0,0,-1,0,0,1,0,0], [1,2,0,-1,-1,0,1,1,-1,0,0,1,0,0], [0,1,0,-1,0,-1,1,1,-1,0,-1,1,0,-1], [0,-1,0,1,0,1,0,-1,0,0,1,-1,0,1], [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], [-1,-2,1,1,1,1,0,-1,1,0,1,-1,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,1,0,0,-1,0,1,0,0,-1,1], [0,0,0,0,0,0,0,-1,0,0,1,-1,-1,1]]]], [ # Q-class [14][06] [[4], [-2,4], [-2,1,4], [1,-2,-2,4], [0,0,-2,1,4], [0,0,1,-2,-2,4], [0,0,0,0,-2,1,4], [0,0,0,0,1,-2,-2,4], [0,0,0,0,0,0,-2,1,4], [0,0,0,0,0,0,1,-2,-2,4], [0,0,0,0,0,0,0,0,-2,1,4], [0,0,0,0,0,0,0,0,1,-2,-2,4], [0,0,0,0,0,0,-2,1,0,0,0,0,4], [0,0,0,0,0,0,1,-2,0,0,0,0,-2,4]], [[[0,1,0,1,0,1,0,1,0,1,0,1,0,0], [-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0], [0,0,0,-1,0,-1,0,-1,0,-1,0,-1,0,0], [0,0,1,1,1,1,1,1,1,1,1,1,0,0], [0,-1,0,-1,0,-1,0,-1,0,0,0,0,0,-1], [1,1,1,1,1,1,1,1,0,0,0,0,1,1], [0,1,0,2,0,2,0,2,0,1,0,0,0,1], [-1,-1,-2,-2,-2,-2,-2,-2,-1,-1,0,0,-1,-1], [0,0,0,0,0,1,0,2,0,1,0,1,0,1], [0,0,0,0,-1,-1,-2,-2,-1,-1,-1,-1,-1,-1], [0,0,0,0,0,-1,0,-1,0,0,0,0,0,0], [0,0,0,0,1,1,1,1,0,0,0,0,0,0], [0,-1,0,-2,0,-3,0,-4,0,-3,0,-1,0,-2], [1,1,2,2,3,3,4,4,3,3,1,1,2,2]], [[0,0,0,0,0,0,0,0,1,1,1,1,0,0], [0,0,0,0,0,0,0,0,0,-1,0,-1,0,0], [-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0], [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,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,1,1,1,1,1,1,1,1,1,0,0,1,1], [0,-1,0,-1,0,-1,0,-1,0,-1,0,0,0,-1], [0,0,1,1,2,2,2,2,1,1,1,1,1,1], [0,0,0,-1,0,-2,0,-2,0,-1,0,-1,0,-1], [0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0], [0,0,0,1,0,1,0,0,0,0,0,0,0,0], [-1,-1,-2,-2,-3,-3,-4,-4,-3,-3,-1,-1,-2,-2], [0,1,0,2,0,3,0,4,0,3,0,1,0,2]]]], [ # Q-class [14][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], [1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1,1,1,1,1,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,-1,0,0,0,0,0,1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,1], [0,0,0,0,0,-1,0,0,0,0,0,0,0,1], [0,0,0,0,-1,0,0,0,0,0,0,0,0,1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,1], [0,0,-1,0,0,0,0,0,0,0,0,0,0,1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,-1,1,0], [0,0,0,0,0,0,0,0,0,0,-1,0,1,0], [0,0,0,0,0,0,0,0,0,-1,0,0,1,0], [0,0,0,0,0,0,0,0,-1,0,0,0,1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,1,0], [0,0,0,0,0,0,-1,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,1,0]]]], [ # Q-class [14][08] [[4], [0,4], [2,1,4], [0,0,0,4], [0,-2,0,0,4], [0,2,1,0,-1,4], [0,0,-1,-1,0,1,4], [-1,2,1,-1,-1,1,0,4], [0,0,-1,1,-1,0,1,0,4], [2,-1,1,0,0,1,1,0,0,4], [2,0,1,0,0,0,0,0,-1,1,4], [0,0,0,0,1,1,0,0,0,0,-1,4], [2,0,1,0,1,0,-1,0,0,2,1,1,4], [1,0,1,0,-1,0,-1,0,2,1,-1,0,2,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,1,-1,0,1,0,0,0,-1,1,1,0,-2,2], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [1,0,-1,1,0,0,1,1,-1,-1,0,0,0,1], [0,-1,1,0,-1,0,0,0,1,-1,-1,-1,2,-2], [1,0,-1,0,0,0,0,0,-1,0,0,0,-1,1], [0,1,0,-1,0,0,-1,-1,1,1,0,0,0,-1], [0,0,0,0,0,0,0,0,0,1,0,0,-1,0], [0,2,-1,0,1,-1,-1,0,0,2,1,1,-2,1], [1,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,-1,1,0,-1,0,1,0,0,-1,0,0,1,0], [-1,1,0,0,0,-1,0,-1,0,1,0,0,0,0], [0,1,0,0,1,-1,0,0,0,1,0,0,-1,1], [0,2,-1,0,2,-1,-1,0,0,2,1,1,-3,2]], [[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,-1,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0], [-1,0,1,0,-1,0,0,-1,1,0,0,0,1,-1], [-1,0,1,-1,0,0,0,-1,1,0,0,0,1,-1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,0,0,0,-1,1], [0,-1,0,1,-1,0,1,0,-1,-1,0,0,1,0], [1,0,0,0,0,0,0,0,0,-1,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,-1,0,0,0,1,0,0,0,-1,0,-1,1,0], [1,-1,0,0,0,1,0,0,0,-1,0,0,0,0], [1,-2,0,1,-1,1,1,1,-1,-2,0,0,1,0]]]], [ # Q-class [14][09] [[4], [-1,4], [2,-2,4], [1,0,0,4], [0,0,0,0,4], [0,0,1,1,-1,4], [-1,0,-1,2,0,1,4], [-1,0,0,0,2,0,0,4], [0,1,0,-1,0,-1,1,1,4], [1,1,0,1,1,1,1,2,2,4], [1,-1,1,2,1,1,1,1,0,2,4], [0,0,1,0,1,1,-1,1,-1,0,1,4], [0,0,-1,-1,0,-1,1,-1,2,1,1,-1,4], [-1,0,-1,1,1,0,2,0,0,1,2,1,2,4]], [[[-2,-1,0,0,0,-1,0,-2,-1,3,0,1,0,-1], [2,2,1,-1,-1,0,2,3,-2,-2,0,0,2,0], [-2,-1,0,-1,0,-2,1,-3,-1,4,1,1,-1,-2], [0,1,1,-1,0,-1,1,0,-2,1,0,0,0,0], [0,0,0,0,0,1,-1,0,1,-1,1,-1,-1,1], [0,1,1,-1,-1,-2,2,0,-3,2,0,1,1,-2], [0,1,1,0,0,-1,1,1,-2,0,0,0,1,-1], [1,0,-1,-1,0,1,0,0,1,-1,1,-1,-2,1], [0,0,0,0,0,0,1,1,-1,0,0,0,1,-1], [0,1,1,-1,-1,-1,2,1,-3,1,0,0,1,-1], [-1,0,1,-1,0,-1,1,-1,-2,2,0,0,0,-1], [1,0,-1,-1,0,1,-1,0,1,-1,1,-1,-1,1], [-1,0,1,1,0,0,0,1,-1,0,-1,0,2,-1], [0,1,1,0,0,0,0,1,-1,-1,0,-1,1,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,1,1,0,-1,0,-1,-1,2,-1,1,1,-1], [2,1,0,0,0,1,0,2,0,-2,0,-1,1,1], [1,1,1,1,0,1,-1,2,0,-2,-1,-1,1,1], [0,1,1,-1,-1,-1,1,0,-1,0,1,0,0,0], [1,0,0,1,0,1,-1,2,1,-2,-1,-1,1,1], [0,1,1,1,0,0,0,1,0,-1,-1,0,1,0], [1,0,-1,1,0,2,-2,1,2,-3,0,-1,0,2], [0,0,0,1,0,0,0,0,0,0,-1,1,1,0], [1,0,0,1,0,1,-1,1,1,-2,-1,0,1,1], [2,1,0,0,0,1,-1,2,1,-3,0,-1,0,2], [0,0,0,0,0,0,-1,0,0,0,0,-1,0,1], [0,0,0,-1,0,-1,1,-1,0,1,0,1,-1,0], [0,1,1,-1,0,-1,1,0,-1,0,0,0,0,0]]]], [ # Q-class [14][10] [[7], [2,7], [-1,1,7], [1,-1,3,7], [3,3,-1,-1,7], [1,3,1,1,1,7], [1,1,1,2,1,-1,7], [1,1,2,1,1,2,1,7], [1,1,-3,-1,0,3,-1,0,7], [3,-2,1,1,-1,-1,2,1,1,7], [2,0,1,3,-2,-1,1,-1,-1,3,7], [1,-1,-2,2,1,1,-1,-2,2,1,1,7], [0,3,2,1,2,3,-1,3,-1,-1,1,0,7], [2,3,-1,-2,1,-1,0,1,1,2,2,1,1,7]], [[[0,0,1,-1,0,0,0,1,0,-1,1,1,-1,0], [0,1,0,-1,0,-1,0,1,0,0,1,1,0,-1], [-1,2,-1,1,0,-1,-1,0,0,1,0,0,0,-1], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,1,0,-1,0,0,0,1,0,0,1,1,-1,-1], [0,1,0,0,0,-1,0,1,0,0,0,1,0,-1], [0,-1,1,-1,1,0,0,0,1,-1,1,0,0,0], [1,0,1,0,0,-1,0,0,1,-1,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,-1,1,0,0,0,0,0,1,-1,0,0,0,1], [0,-1,0,0,0,0,0,0,0,-1,0,0,0,1], [0,-1,0,0,0,1,1,0,0,-1,0,0,0,1], [2,-1,1,-1,-1,-1,1,0,1,-2,0,1,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,-1,0,0,0,1,0,0,1,1,0,-1], [1,-1,1,-1,0,0,1,0,0,-1,0,1,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [-1,1,0,0,1,0,-1,1,0,1,1,0,-1,-1], [0,1,0,-1,0,-1,0,1,0,0,1,1,0,-1], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,1,0,0,0,1,0], [0,0,0,1,0,0,0,0,0,0,-1,0,0,1], [0,-1,0,0,0,1,1,0,0,-1,0,0,0,1], [-1,1,0,0,0,0,0,0,0,1,0,0,0,0], [0,1,0,-1,0,0,0,1,0,0,1,1,-1,-1], [0,-1,0,0,0,1,0,0,0,0,0,0,0,1]]]], [ # Q-class [14][11] [[6], [0,6], [-2,3,6], [-2,2,1,6], [-2,2,3,3,6], [2,-2,0,0,0,6], [2,-2,-2,0,0,0,6], [-2,-2,0,2,0,0,2,6], [2,0,0,1,2,3,0,-2,6], [-2,0,1,0,-1,0,-1,0,0,6], [0,-3,-2,-2,-2,2,-1,1,0,-1,6], [-2,-2,1,-2,-1,-1,0,0,-2,3,0,6], [-1,-2,-1,-2,-2,-2,-1,0,-1,2,0,3,6], [-1,2,3,0,2,0,-1,-2,0,-1,0,1,-1,6]], [[[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,-1,0,0], [-1,1,-1,-1,0,0,0,1,1,0,0,0,0,0], [-2,1,0,0,-1,1,1,-1,0,-1,0,0,0,-1], [-1,1,0,0,0,0,1,-1,0,0,1,0,0,-1], [-1,1,0,0,-1,0,1,0,1,-1,0,1,0,0], [0,1,0,1,0,1,1,-1,-1,0,1,0,1,0], [0,0,0,1,-1,0,0,0,0,0,0,0,0,0], [-1,0,0,0,0,0,1,-1,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,1,1,0,-1,0,0,0,0,0,0,0,0], [1,0,-1,0,1,0,-1,1,0,0,0,1,0,0], [2,-2,-1,0,1,-1,-2,1,0,1,-1,0,-1,1], [0,1,-1,-1,1,0,0,1,0,0,0,0,0,0]], [[-2,1,1,1,-1,1,2,-2,0,-1,1,0,1,-1], [0,-1,0,0,0,0,-1,0,0,0,-1,0,0,0], [0,0,-1,-1,1,0,-1,1,0,0,-1,0,0,0], [0,0,-1,-1,0,0,-1,1,1,0,-1,1,-1,0], [0,-1,0,-1,0,-1,-1,1,1,0,-1,0,-1,0], [-1,1,0,0,0,0,1,-1,0,0,1,0,0,-1], [-1,1,0,0,-1,0,1,0,1,-1,0,1,0,0], [0,1,-2,-1,0,0,-1,2,1,0,-1,1,-1,1], [-1,0,1,0,0,0,1,-1,0,0,1,0,0,-1], [1,0,0,0,1,0,0,0,-1,1,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,1,0,0,0], [1,0,0,0,1,0,0,0,-1,0,0,0,0,0], [1,-1,0,0,1,0,0,0,-1,1,0,-1,0,1], [1,-1,0,0,1,-1,-1,0,0,0,0,0,0,0]]]], [ # Q-class [14][12] [[6], [-1,6], [-3,-2,6], [-1,3,-2,6], [2,-3,1,0,6], [-2,2,2,-1,-1,6], [3,0,-3,1,2,0,6], [3,1,-1,1,2,1,1,6], [-3,3,0,2,-2,3,0,0,6], [-2,3,0,3,0,0,-1,1,3,6], [-1,-1,0,-2,-2,0,-1,-2,1,0,6], [2,1,0,1,0,-1,0,2,-1,0,0,6], [2,2,-1,-1,-2,2,0,2,1,-1,1,3,6], [3,-2,0,-1,1,-3,1,0,-3,-2,1,3,0,6]], [[[-2,-1,-2,-1,0,0,0,0,0,1,-1,0,1,1], [1,-1,-1,1,0,2,-1,-1,-1,1,0,0,0,0], [1,1,2,0,-1,-1,1,1,0,-1,1,0,-1,-1], [0,0,-1,0,1,1,-1,0,0,0,0,0,0,0], [-2,0,0,-1,0,-1,1,1,0,0,0,0,1,0], [0,-1,0,1,-1,1,0,0,-1,0,0,0,0,0], [-2,-2,-2,0,0,1,0,0,0,1,-1,0,1,1], [-2,-1,-2,-1,0,1,0,0,-1,1,-1,0,1,1], [0,0,0,1,0,1,0,0,-1,0,0,0,0,0], [0,0,0,0,0,1,0,0,-1,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,-1,0], [0,0,-1,-1,0,0,0,0,0,0,0,1,-1,-1], [-1,0,-1,0,0,0,0,0,-1,0,0,0,0,0], [0,0,-1,-1,0,0,0,0,1,0,0,1,-1,0]], [[-2,-1,-2,-1,0,1,0,0,-1,1,-1,0,1,1], [-1,0,0,0,1,-1,0,0,0,0,0,0,1,0], [2,2,2,0,0,-1,0,0,1,-1,1,0,-1,-1], [0,-1,0,1,0,0,0,0,0,0,0,0,1,0], [0,1,0,0,0,0,0,0,0,-1,0,0,0,0], [0,1,1,0,0,-1,0,0,0,0,0,0,0,0], [-2,-1,-2,0,0,1,0,0,-1,1,-1,0,1,1], [-1,0,0,0,0,0,0,0,-1,0,0,0,1,0], [0,0,1,1,0,-1,0,0,0,0,0,-1,1,0], [0,1,1,1,1,-1,0,0,0,-1,1,-1,1,0], [-1,0,0,0,0,0,0,1,0,0,0,-1,0,1], [-2,0,0,-1,0,-1,1,1,0,0,0,0,1,0], [-2,-1,-1,-1,0,0,0,0,0,1,-1,0,1,1], [-1,0,-1,-1,0,0,0,1,0,0,0,0,0,0]]]] ]; MakeImmutable( IMFList[14].matrices );