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Views: 418346############################################################################# ## #A imf21.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 21, ## ## [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 2.-i1 ## IMFList[21].matrices := [ [ # Q-class [21][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,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [21][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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2], [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,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,-1,-2,-2,-2,-1,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,2,3,4,3,2,1,2,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,-2,-2,-1,0,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-1,-2,-3,-3,-2,-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,-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], [1,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [21][03] [[3], [-1,3], [1,1,3], [-1,1,1,3], [1,-1,1,1,3], [-1,-1,-1,1,1,3], [1,1,1,0,0,-1,3], [-1,1,1,1,0,0,1,3], [1,0,1,1,1,0,1,1,3], [-1,0,0,1,1,1,-1,1,1,3], [1,-1,0,0,1,1,-1,-1,1,1,3], [-1,1,-1,0,-1,0,-1,-1,-1,0,0,3], [0,1,0,-1,-1,-1,1,0,-1,-1,-1,1,3], [0,-1,-1,-1,-1,0,-1,-1,-1,-1,0,1,1,3], [1,-1,0,-1,0,-1,1,0,0,-1,-1,-1,1,1,3], [1,0,1,-1,0,-1,1,1,1,0,0,-1,1,0,1,3], [0,1,1,0,-1,-1,0,0,0,0,0,1,1,1,0,1,3], [0,0,-1,-1,-1,-1,0,0,0,0,0,1,1,1,1,1,1,3], [1,0,0,-1,-1,-1,1,0,1,-1,0,0,1,1,1,1,1,1,3], [1,-1,0,-1,0,-1,0,0,1,0,0,-1,-1,0,1,1,0,1,1,3], [-1,0,-1,0,-1,1,-1,0,0,1,1,1,0,1,-1,0,1,1,0,0,3]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,1], [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,-1,0,0,0,0,0,0,-1,0,1,0,0,0,0,-1,1], [1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,1,0,-1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,-1,0,0,0], [0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,1,0,0,0,1,-1,1], [0,0,0,0,1,-1,0,0,-1,0,0,0,-1,-1,1,0,0,0,1,-1,1], [1,0,1,0,0,0,0,0,-1,1,-1,0,-1,0,0,0,-1,1,1,-1,1], [0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,0,0,0], [-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,0,0,1,-1,-1,1,1,0,-1,1,0,1], [0,1,0,0,1,0,0,0,-1,0,0,1,-1,0,1,1,-1,-1,1,0,1], [-1,0,1,0,0,0,1,-1,-1,1,0,1,-1,0,0,1,-1,0,1,0,0], [0,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,0,0,0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,1,0], [1,0,0,1,0,0,1,0,-2,1,0,1,-1,0,0,1,-1,0,1,0,0]], [[-1,-1,0,-1,0,0,0,0,2,-1,0,0,1,-1,0,-1,1,0,-1,0,0], [1,1,0,0,0,1,0,-1,0,1,-1,-1,0,1,-1,0,0,1,0,0,-1], [0,-1,1,0,-1,1,1,-1,0,1,-1,0,0,0,-1,0,0,1,0,0,-1], [1,0,1,0,-1,1,0,0,0,1,-1,0,0,1,-1,0,-1,1,0,0,-1], [0,-1,1,0,-1,0,1,0,0,1,0,1,0,0,0,0,-1,0,0,0,0], [0,0,1,0,-1,0,0,0,0,1,0,0,0,1,0,0,-1,0,0,0,0], [0,0,0,-1,0,1,0,0,1,0,0,0,1,0,0,-1,1,0,-1,1,-1], [1,0,0,1,-1,1,0,0,-1,1,0,0,1,0,0,0,0,0,0,1,-1], [0,0,0,0,-1,1,0,0,1,0,0,0,1,0,0,0,0,0,-1,1,-1], [1,0,0,1,-1,0,0,0,-1,1,0,0,0,0,0,1,-1,0,0,0,0], [0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0], [0,1,-1,0,1,-1,0,0,0,0,0,-1,0,1,-1,0,0,0,0,0,0], [0,0,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0], [-1,0,-1,0,1,-1,0,1,0,-1,1,0,0,0,0,0,1,-1,0,0,0], [-1,-1,-1,0,1,-1,0,1,0,-1,1,1,0,-1,1,0,1,-1,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,-1,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,-1,0,1,0,0,0,-1], [0,1,-2,0,1,-1,-1,1,0,-1,1,0,0,-1,1,0,1,-1,0,0,0], [-1,0,-1,0,0,0,0,0,1,-1,1,0,1,0,0,0,1,-1,-1,1,-1], [-1,0,0,0,0,0,0,0,0,-1,1,0,0,-1,1,0,0,0,0,0,0], [0,1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [21][04] [[3], [1,3], [0,0,3], [0,0,0,3], [-1,-1,0,0,3], [-1,-1,0,1,1,3], [-1,-1,0,1,1,1,3], [-1,0,-1,0,0,0,0,3], [0,0,-1,0,-1,0,1,0,3], [0,0,0,0,0,0,-1,0,-1,3], [0,1,-1,0,0,0,-1,1,0,1,3], [-1,-1,0,0,0,0,1,0,0,0,-1,3], [0,-1,1,0,1,1,1,-1,0,1,0,1,3], [0,0,0,1,-1,0,-1,1,-1,1,0,0,-1,3], [1,1,1,0,-1,-1,-1,-1,-1,1,0,0,0,1,3], [0,0,1,0,1,0,0,0,-1,1,1,-1,1,-1,0,3], [-1,0,1,1,0,1,1,0,0,-1,-1,1,0,0,0,0,3], [1,0,0,0,0,0,-1,-1,-1,1,-1,0,0,1,1,-1,-1,3], [-1,-1,1,-1,0,0,1,0,1,-1,-1,1,1,-1,-1,0,1,-1,3], [0,0,1,0,-1,-1,0,0,0,0,-1,1,0,1,1,-1,0,1,1,3], [-1,-1,1,1,1,1,1,0,-1,1,-1,1,1,1,1,0,1,1,0,1,3]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,1,1,0,1,1,0,0,1,0,0,2,-2,1,0,1,-2,0,1,-1,1], [1,1,0,0,0,1,0,-1,0,0,0,1,-2,0,0,0,-2,-1,2,-1,2], [0,1,-1,-1,-1,0,-1,-1,0,-1,-1,0,1,1,-2,1,0,-1,-1,0,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [-1,0,0,-1,0,0,0,0,1,-1,0,0,1,1,0,1,1,1,-1,0,-1], [-1,0,0,0,-1,-1,0,0,-1,0,0,-1,1,-1,-1,-1,1,0,-1,0,0], [0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,-1,-1], [-1,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,1,1,-1,0,-1], [1,0,0,0,0,1,-1,0,0,0,0,1,-1,0,0,0,-1,-1,1,0,1], [0,0,0,0,0,0,-1,0,1,-1,0,1,0,1,0,1,-1,0,0,-1,1], [0,-1,0,0,0,-1,0,1,-1,1,0,-2,1,-2,0,-2,2,0,-1,1,-1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,-1,0,-1,0,0,1], [1,0,0,0,0,1,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0], [1,0,0,0,0,1,0,0,-1,1,0,0,-1,-1,0,-1,-1,-1,1,0,1], [0,1,-1,0,-1,0,-1,-1,0,-2,0,1,0,1,-1,1,-2,-1,1,-1,3], [0,1,-1,-1,0,0,0,-1,0,-1,0,0,0,1,-1,1,0,0,0,0,1], [1,-1,1,0,1,1,1,1,0,2,0,0,-1,-1,1,-1,1,0,0,1,-2], [0,0,0,1,1,0,0,0,0,1,0,0,-1,-1,1,-1,0,0,1,0,-1], [1,-1,1,1,1,0,1,1,-1,3,0,-1,-1,-2,1,-3,1,0,1,0,-2], [1,0,0,0,0,1,0,0,-1,1,0,0,-1,-1,0,-1,0,-1,1,0,0]], [[-1,-1,-1,-1,-1,-2,0,0,-1,-1,0,-2,3,0,-1,-1,2,0,-2,1,0], [-1,-3,1,0,0,-2,2,2,-1,2,1,-3,2,-2,1,-3,4,2,-2,1,-4], [0,0,0,0,0,0,0,-1,1,-1,1,1,-1,1,0,1,-1,1,1,-1,1], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1], [1,1,1,1,1,2,-1,0,1,0,-1,2,-3,0,1,1,-3,-1,2,-1,1], [1,1,0,0,1,1,0,-1,1,0,0,1,-2,1,0,1,-1,-1,1,0,1], [1,1,0,1,1,2,-1,0,1,0,-1,2,-2,0,1,1,-2,-1,1,0,0], [0,0,0,1,1,1,0,1,0,1,-1,0,0,0,2,0,0,0,1,0,-2], [1,0,0,0,1,1,0,0,0,1,0,1,-1,0,0,0,0,-1,0,1,-1], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1], [-1,-1,1,0,1,-1,1,1,0,1,0,-1,1,0,1,-1,2,1,-1,0,-3], [1,1,0,0,0,1,0,0,0,0,0,1,-1,0,0,0,-1,0,1,-1,1], [1,1,0,0,1,1,-1,-1,1,-1,0,2,-2,1,0,1,-2,-1,1,-1,2], [-1,0,-1,-1,-1,-1,1,0,0,-1,0,-1,2,1,0,1,1,1,-1,0,0], [-1,-1,0,-1,-1,-2,1,0,0,-1,1,-1,2,0,-1,0,2,2,-2,0,0], [0,0,1,1,1,0,-1,0,1,0,0,1,-1,0,1,0,-1,0,1,-1,0], [1,0,1,0,1,1,1,0,1,1,1,1,-2,0,1,0,0,1,1,0,-1], [0,0,-1,-1,-2,-1,0,-1,-1,-1,0,-1,1,0,-2,0,0,-1,-1,0,3], [1,1,0,0,1,2,-1,-1,1,0,0,2,-2,1,0,1,-2,-1,1,0,1], [0,0,-1,-1,-1,0,0,-1,0,-1,0,0,1,1,-1,1,0,0,-1,0,1], [1,1,0,0,0,1,0,-1,1,-1,0,2,-2,1,0,2,-2,0,1,-1,2]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0], [1,0,1,1,1,1,0,1,1,1,0,1,-2,-1,1,0,-1,0,1,0,0], [-1,-1,0,1,0,-1,1,1,-1,1,0,-1,1,-1,1,-1,1,1,0,0,-2], [0,0,0,1,1,1,-1,0,1,0,0,1,-1,0,1,1,-1,0,1,0,0], [0,-1,1,1,0,0,1,1,0,1,1,0,-1,-1,1,-1,0,1,1,-1,-1], [-1,0,0,-1,0,-1,0,0,1,-1,0,0,1,1,-1,1,1,1,-2,0,0], [1,0,1,0,0,1,0,0,0,0,1,1,-2,0,0,0,-1,0,1,-1,1], [-1,0,-1,-1,-1,-1,0,-1,0,-2,0,-1,2,1,-1,1,1,0,-2,1,1], [0,1,0,-1,0,0,0,-1,1,-1,0,1,0,2,-1,2,0,0,-1,0,1], [0,-1,1,0,0,0,1,0,0,1,1,0,-1,-1,0,-1,1,1,0,0,-1], [0,-1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,-1], [0,0,0,0,1,0,-1,0,1,0,-1,0,0,0,0,0,0,-1,-1,1,0], [0,0,0,0,0,-1,0,0,0,0,0,-1,1,0,0,-1,1,0,0,0,0], [-1,0,-1,-1,-1,-1,1,0,0,-1,0,-1,2,1,0,1,1,1,-1,0,0], [0,0,1,1,1,1,0,1,1,1,0,1,-2,-1,2,0,-1,1,2,-1,-1], [0,0,-1,1,0,0,-1,0,-1,0,-1,-1,1,-1,0,-1,0,-1,0,1,0], [0,0,0,0,0,1,0,0,0,0,0,1,-1,0,1,0,-1,0,1,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [-1,-1,0,1,0,-1,0,1,0,0,0,-1,1,-1,1,-1,1,1,0,0,-1]]]], [ # Q-class [21][05] [[4], [2,4], [1,1,4], [1,1,1,4], [2,1,1,1,4], [1,2,1,2,1,4], [2,1,2,1,2,1,4], [2,1,1,1,2,1,2,4], [2,2,1,2,1,1,1,1,4], [1,1,2,1,2,2,1,1,1,4], [1,2,1,1,2,2,1,1,1,1,4], [1,1,2,2,1,1,1,2,1,2,1,4], [2,2,2,1,1,1,1,1,2,2,1,2,4], [2,1,1,1,1,2,1,1,1,2,1,1,1,4], [1,2,2,1,1,2,2,1,1,1,2,1,1,1,4], [1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,4], [2,1,1,2,1,1,1,1,1,1,1,2,1,2,2,1,4], [2,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,2,4], [2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,2,1,1,4], [2,2,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,1,4], [2,1,-1,0,1,0,1,1,1,0,0,0,1,0,0,-1,0,0,1,1,4]], [[[-1,0,1,0,1,1,0,0,0,-1,0,0,0,0,-1,-1,1,0,0,1,0], [-1,0,1,0,0,1,0,0,0,-1,0,0,0,0,-1,-1,1,0,0,1,0], [1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,1,-1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [-1,0,1,0,1,1,0,0,0,-1,0,-1,0,0,-1,-1,1,0,0,1,0], [0,-1,1,0,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,1,0], [-1,0,1,0,1,1,0,0,0,-1,0,0,0,0,-1,-1,0,0,0,1,0], [-1,0,1,-1,1,1,0,0,0,-1,0,0,0,0,-1,-1,1,0,0,1,0], [-1,0,1,0,1,1,0,0,0,-1,-1,0,0,0,-1,-1,1,0,0,1,0], [0,0,1,1,0,0,0,0,-1,0,0,-1,0,0,0,-1,0,0,0,1,0], [-1,0,1,0,0,1,0,1,0,-1,0,-1,0,0,-1,-1,1,0,0,1,0], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,1,0], [-1,0,1,0,1,1,0,0,0,-1,-1,0,0,0,0,-1,0,1,0,1,0], [0,0,1,0,0,1,0,0,0,-1,0,0,0,0,-1,-1,0,0,0,1,0], [1,-1,0,0,0,1,0,0,0,0,0,0,0,-1,0,-1,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [-1,0,1,0,0,1,0,1,0,0,0,-1,0,0,-1,-1,1,0,0,1,0], [0,-1,1,0,1,1,-1,0,0,-1,0,0,0,0,0,-1,0,0,0,1,0], [0,0,1,0,0,1,0,0,0,0,0,0,-1,-1,-1,-1,1,0,0,1,0], [-1,0,1,0,1,1,0,0,0,-1,0,0,0,0,-1,0,1,0,-1,0,1]], [[1,0,-1,0,0,-1,0,-1,0,0,0,1,0,0,1,1,-1,0,0,-1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [2,-1,-1,0,0,0,0,-1,0,0,0,1,0,0,1,0,-1,0,0,0,-1], [0,0,-1,-1,0,0,1,-1,0,0,0,1,0,0,0,1,0,0,0,0,0], [1,0,-1,0,0,-1,0,-1,0,1,0,1,0,0,1,1,-1,0,0,-1,0], [0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,-1,0,0,-1,0,-1,0,0,0,1,0,1,1,1,-1,0,0,-1,0], [1,0,-1,0,0,0,0,-1,0,0,0,1,0,0,1,1,-1,0,0,-1,0], [0,0,0,-1,1,1,0,-1,0,-1,-1,1,0,0,0,0,0,0,0,0,0], [1,-1,0,0,0,0,0,-1,0,0,0,1,0,0,1,0,-1,0,0,0,0], [0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,-1,0,0,0,0,-1,0,0,0,1,0,0,1,1,-1,0,0,0,0], [1,-1,-1,0,0,0,0,-1,0,0,0,1,0,0,1,0,-1,0,0,0,0], [0,0,0,0,1,0,0,-1,0,-1,-1,1,0,0,1,0,-1,1,0,0,0], [1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,-1,0,0,0,1,-1,0,0,0,1,0,0,0,0,-1,0,0,0,-1], [1,0,-1,0,0,-1,0,-1,0,0,0,1,0,0,1,1,-1,0,0,0,0], [0,0,0,0,1,0,0,-1,0,-1,0,1,0,0,0,0,0,0,0,0,0], [0,0,-1,-1,0,0,1,-1,1,0,0,1,0,0,0,1,0,0,0,-1,0], [1,0,0,0,0,0,0,-1,0,0,0,1,-1,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,1]]]], [ # Q-class [21][06] [[21], [7,21], [9,3,21], [-3,7,3,21], [3,3,7,9,21], [7,7,3,1,-1,21], [3,9,7,3,7,3,21], [3,3,7,-1,1,9,7,21], [-1,3,1,3,7,3,7,7,21], [7,1,3,-3,3,7,-1,3,3,21], [3,9,7,3,7,3,1,7,7,9,21], [1,-3,9,-3,3,7,3,3,9,7,3,21], [7,7,3,1,9,1,3,-1,3,7,3,7,21], [9,3,1,3,7,3,-3,-3,1,3,7,-1,3,21], [3,3,-3,-1,1,9,-3,1,7,3,7,3,-1,7,21], [7,-3,3,1,9,1,3,9,3,7,3,-3,1,3,-1,21], [-7,-1,-3,3,7,3,1,7,7,-1,1,3,3,-3,7,3,21], [1,-3,-1,7,3,7,-7,3,-1,7,3,1,-3,9,3,7,3,21], [-3,1,3,7,3,7,-1,3,3,1,-1,7,7,3,3,-3,9,7,21], [-1,3,1,3,7,3,7,7,1,3,7,-1,3,1,7,3,7,-1,3,21], [1,7,9,7,3,7,3,3,-1,-3,3,1,-3,-1,3,-3,3,1,7,-1,21]], [[[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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,-1,1,0,-1,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,0], [-1,0,2,-1,-1,1,-1,-1,2,-1,-1,-1,2,0,-1,0,0,2,-2,2,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [-1,0,2,0,-1,1,0,-1,1,0,-1,-1,1,0,0,0,0,1,-1,1,0], [-1,0,2,-1,-1,1,0,-2,1,-1,0,-1,1,0,0,1,0,1,0,1,0], [-1,0,1,0,0,0,0,0,0,0,-1,0,1,0,1,0,0,1,-1,0,0], [0,0,0,-1,0,0,0,-1,1,0,0,0,0,0,-1,0,0,1,0,1,1], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,1,0,-1,1,-1,1,0,1,0,-1,0,0,1,-1,1,1], [-1,0,0,0,0,0,0,1,0,0,-1,0,1,1,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [-1,1,2,-2,-1,1,-1,-2,2,-1,-1,-1,1,0,-1,1,0,2,-1,2,1], [1,0,-1,0,1,0,0,0,-1,-1,1,1,-1,-1,0,0,0,0,1,0,-1], [0,0,0,-1,-1,0,0,-1,1,-1,0,0,1,0,-1,1,0,1,0,1,1], [0,-1,0,0,-1,0,1,0,0,-1,1,0,1,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [-1,0,3,-1,-2,1,0,-2,2,-1,0,-2,2,0,-1,0,1,2,-1,1,0]], [[-3,0,3,-1,-2,1,0,-1,2,0,-2,-2,3,1,0,0,0,2,-2,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,-1,2,-1,-3,1,0,-3,3,-1,1,-2,2,0,-2,0,1,2,-1,2,1], [-1,-1,2,-1,-2,1,0,-2,2,0,0,-2,2,1,-1,0,1,1,-1,1,1], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,1,0,-1,0,-1,0,1,0,-1,0,1,1,0,0,0,0,-1,1,1], [0,1,-2,1,2,-2,0,3,-3,1,0,2,-2,0,2,0,-1,-2,2,-2,-1], [-1,0,1,0,-1,0,0,0,0,0,0,0,1,1,0,0,1,0,-1,0,0], [-3,0,4,-2,-3,2,0,-3,3,-1,-1,-3,3,1,-1,1,1,2,-2,2,1], [1,0,-2,1,2,-1,1,2,-3,1,1,1,-2,0,1,-1,0,-2,2,-2,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [-2,1,3,-2,-2,1,-1,-2,3,0,-2,-2,2,1,-1,0,1,2,-2,2,1], [-2,0,3,-1,-2,1,0,-2,2,0,-1,-2,2,1,-1,0,1,2,-2,1,1], [0,-1,-1,0,1,0,1,1,-1,0,1,0,0,0,0,-1,0,0,0,-1,0], [-2,0,2,-1,-2,0,0,-1,1,0,-1,-1,2,1,0,1,0,1,-1,1,1], [1,0,-2,0,1,-1,0,1,-1,0,1,1,-1,0,0,0,0,-1,1,-1,0], [-1,-1,2,-1,-3,1,1,-3,2,-1,1,-2,2,0,-1,1,1,2,-1,1,1], [-1,1,2,-2,-2,1,-1,-3,3,-1,0,-1,1,0,-2,1,1,2,-1,2,1], [0,0,-1,0,2,-1,0,2,-1,1,0,0,-1,0,1,-1,-1,-1,1,-1,0], [1,-1,-1,0,0,1,0,-1,0,-1,2,0,0,-1,-1,0,0,0,1,0,0]]]], [ # Q-class [21][07] [[6], [-2,6], [0,2,6], [-2,1,0,6], [2,2,0,-1,6], [2,0,0,-2,0,6], [-1,0,-1,-1,-2,1,6], [0,0,2,0,0,0,-2,6], [2,0,-1,2,1,0,-2,1,6], [2,2,0,-1,2,0,0,-1,0,6], [-2,1,0,-2,-1,-2,0,0,-2,-1,6], [1,0,-2,0,2,2,0,0,1,0,-2,6], [1,1,0,-2,2,0,2,-2,-1,2,1,0,6], [0,-1,-1,0,0,1,-2,1,2,-2,0,0,0,6], [-2,0,-1,0,0,-1,1,1,-2,0,1,1,0,-2,6], [-1,0,-2,0,1,-2,-1,-1,-1,0,2,2,0,-1,2,6], [0,-2,0,0,0,-1,0,0,0,-1,0,0,0,-1,1,0,6], [0,2,2,0,0,2,0,1,0,2,0,0,0,-1,0,0,-2,6], [0,-1,-1,-2,0,0,0,0,0,1,0,0,0,1,0,0,2,-1,6], [-2,0,0,0,-2,-1,0,0,-2,0,1,-2,-1,0,-2,-1,-2,0,0,6], [2,0,-1,-2,1,0,0,0,0,0,2,-1,0,0,0,1,-2,0,-2,0,6]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-6,-6,3,3,2,4,0,1,2,4,3,1,1,-2,-2,0,-1,-2,1,-1,2], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [2,3,-2,-2,-2,-2,-1,0,-1,-2,-2,0,0,0,0,0,1,1,-1,0,-1], [-10,-11,6,6,4,7,1,1,3,7,6,2,1,-3,-3,0,-3,-4,2,-2,4], [-2,-3,2,2,2,2,1,0,1,2,2,0,0,0,0,0,0,-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], [2,1,0,0,0,0,0,0,0,-1,0,-1,0,0,1,1,0,0,0,1,-1], [-1,0,-1,0,-1,0,-1,1,-1,0,-1,0,1,-1,-1,0,0,0,0,-1,1], [-2,-2,2,1,1,2,1,0,2,2,1,0,0,0,0,1,0,-1,0,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [-6,-8,4,5,4,5,2,1,2,5,5,1,0,-2,-2,0,-2,-3,1,-1,2], [-4,-4,2,2,1,2,0,0,1,3,2,1,0,-1,-1,-1,-1,-1,1,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [-3,-4,3,3,2,3,1,0,1,3,3,1,0,-1,-1,0,-1,-2,1,0,1], [-3,-4,2,2,2,2,1,0,1,2,2,1,0,-1,-1,0,-1,-1,1,0,1], [-2,-2,1,2,1,2,0,0,0,1,1,0,0,-1,-1,0,-1,-1,1,-1,1], [-3,-4,3,2,2,3,1,0,2,3,2,0,0,0,0,1,0,-2,0,1,1], [-2,-2,1,2,1,2,0,0,1,1,1,0,1,-1,0,0,-1,-1,1,0,1], [8,8,-4,-5,-3,-5,0,-1,-1,-5,-4,-2,-1,3,3,1,2,3,-2,2,-4], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-2,1,2,1,1,0,0,0,1,2,1,0,-1,-1,-1,-1,-1,1,-1,1], [-5,-6,4,4,3,5,1,0,2,4,4,1,0,-1,-1,0,-1,-3,1,0,2], [2,4,-3,-2,-2,-3,-2,0,-2,-3,-3,0,1,0,0,-1,1,2,0,0,0], [1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [1,1,0,-1,-1,-1,0,0,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [6,7,-5,-4,-3,-5,-2,0,-3,-5,-4,-1,0,1,1,-1,1,3,-1,0,-2], [-2,-3,1,2,1,1,0,0,0,2,2,1,0,-1,-1,-1,-1,-1,1,-1,1], [-3,-4,3,2,3,3,2,0,2,3,3,0,-1,0,0,1,-1,-2,0,0,0], [4,5,-3,-3,-3,-4,-1,0,-2,-3,-3,0,0,1,0,0,1,2,-1,0,-1], [-6,-8,4,5,4,5,2,1,2,5,5,1,0,-2,-2,0,-2,-3,1,-1,2], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [3,2,0,-1,0,-1,1,-1,0,-1,-1,-1,-1,2,2,1,1,1,-1,2,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [2,1,0,0,0,0,1,0,0,0,0,-1,-1,1,1,1,0,0,0,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0]]]], [ # Q-class [21][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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-1,1,0], [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,-1,0,0,1,0], [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,-1,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,-1,1,0], [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,-1,0,0,1,0], [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,-1,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]] ]; MakeImmutable( IMFList[21].matrices );