| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/grp/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 18.9.2025 mit Größe 21 kB |
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Quelle imf19.grp Sprache: unbekannt |
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#############################################################################
## ## This file is part of GAP, a system for computational discrete algebra. ## This file's authors include Volkmar Felsch. ## ## Copyright of GAP belongs to its developers, whose names are too numerous ## to list here. Please refer to the COPYRIGHT file for details. ## ## SPDX-License-Identifier: GPL-2.0-or-later ## ## This file contains, for each Z-class representative of the irreducible ## maximal finite integral matrix groups of dimension 19, ## ## [1] a quadratic form (as lower triangle of the Gram matrix), ## [2] a list of matrix generators. ## ############################################################################# ## ## Quadratic form and matrix generators for the Z-class representatives of ## the irreducible maximal finite integral matrix groups of dimension 19. ## IMFList[19].matrices := [ [ # Z-class [19][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,-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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]], [[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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Z-class [19][02] [[4], [-4,8], [4,-8,12], [-4,8,-12,16], [4,-8,12,-16,20], [-4,8,-12,16,-20,24], [4,-8,12,-16,20,-24,28], [-4,8,-12,16,-20,24,-28,32], [4,-8,12,-16,20,-24,28,-32,36], [-4,8,-12,16,-20,24,-28,32,-36,40], [4,-8,12,-16,20,-24,28,-32,36,-40,44], [-4,8,-12,16,-20,24,-28,32,-36,40,-44,48], [4,-8,12,-16,20,-24,28,-32,36,-40,44,-48,52], [-4,8,-12,16,-20,24,-28,32,-36,40,-44,48,-52,56], [4,-8,12,-16,20,-24,28,-32,36,-40,44,-48,52,-56,60], [-4,8,-12,16,-20,24,-28,32,-36,40,-44,48,-52,56,-60,64], [4,-8,12,-16,20,-24,28,-32,36,-40,44,-48,52,-56,60,-64,68], [-4,8,-12,16,-20,24,-28,32,-36,40,-44,48,-52,56,-60,64,-68,72], [2,-4,6,-8,10,-12,14,-16,18,-20,22,-24,26,-28,30,-32,34,-36,19]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,-2], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,-2], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-2], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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], [0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,-2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,-2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,-2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Z-class [19][03] [[2], [1,2], [0,1,2], [0,0,1,2], [0,0,0,1,2], [0,0,0,0,1,2], [0,0,0,0,0,1,2], [0,0,0,0,0,0,1,2], [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], [0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2], [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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4]], [[[1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,1], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Z-class [19][04] [[19], [-1,19], [1,1,19], [1,1,-1,19], [1,1,-1,-1,19], [1,1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,19], [-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,19], [-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,19]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1]], [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Z-class [19][05] [[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]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-1,1,0], [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,-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,-1,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]], [[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,-1,1,0], [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,-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,-1,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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]]]], [ # Z-class [19][06] [[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], [-1,0,-1,0,-1,-1,0,-1,0,-1,0,0,0,0,5], [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]], [[[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,-1,1,0], [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,-1,0,0,0,1,0], [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,-1,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [1,0,1,-1,0,0,-1,1,-1,1,-1,0,0,-1,1,1,0,0,-1], [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], [-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [1,-1,1,-1,1,1,-1,1,-1,1,-1,-1,-1,-1,2,1,1,0,-1]], [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [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,-1,0,1,0], [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,-1,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,1,0], [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,-1,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,1,0,1,-1,-1,0,-1,1,-1,1,0,1,1,-1,-1,0,-1,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0]]]], [ # Z-class [19][07] [[10], [5,10], [5,5,10], [5,5,5,10], [5,5,5,5,10], [5,5,5,5,5,10], [5,5,5,5,5,5,10], [5,5,5,5,5,5,5,10], [5,5,5,5,5,5,5,5,10], [5,5,0,5,0,5,0,0,0,16], [5,5,5,5,5,5,5,5,5,0,10], [5,5,5,5,5,5,5,5,5,0,5,10], [5,5,5,5,5,5,5,5,5,0,5,5,10], [5,5,5,5,5,5,5,5,5,0,5,5,5,10], [5,5,5,5,5,5,5,5,5,0,5,5,5,5,10], [5,5,5,5,5,5,5,5,5,0,5,5,5,5,5,10], [-5,-5,0,-5,0,0,0,0,0,-11,0,0,0,0,0,0,16], [5,5,5,5,5,5,5,5,5,0,5,5,5,5,5,5,0,10], [-5,-5,-5,-5,-5,-5,-5,-5,-5,0,-5,-5,-5,-5,-5,-5,0,-5,10]], [[[0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1], [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,-1,0,0,0,0,0,-1], [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,-1,0,0,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1], [1,1,0,1,0,0,0,0,0,0,0,0,-1,0,-1,0,1,-1,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-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,-1], [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], [3,3,-1,3,-1,3,-1,-1,-1,-4,-1,-1,-1,-1,0,-1,0,0,1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,-1], [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,-1,0,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1], [1,1,0,1,0,0,0,0,0,0,0,0,0,-1,0,-1,1,0,0], [0,0,0,0,0,0,0,0,-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,-1], [0,0,0,0,0,0,-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,-1], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Z-class [19][08] [[8], [-4,8], [-4,4,8], [-4,4,4,8], [-4,4,4,4,8], [-4,4,4,4,4,8], [-4,4,4,4,4,4,8], [-4,4,4,4,4,4,4,8], [-4,4,4,4,4,4,4,4,8], [-4,4,4,4,4,4,4,4,4,8], [-4,4,4,4,4,4,4,4,4,4,8], [-4,4,4,4,4,4,4,4,4,4,4,8], [4,-4,0,-4,0,-4,0,-4,0,0,0,0,15], [-4,4,0,4,0,4,0,0,0,0,0,0,-11,15], [-4,4,0,4,0,4,0,0,0,0,0,0,-11,11,15], [-4,4,0,4,0,4,0,0,0,0,0,0,-11,11,11,15], [4,-4,0,-4,0,-4,0,0,0,0,0,0,11,-11,-11,-11,15], [-4,4,0,4,0,4,0,0,0,0,0,0,-11,11,11,11,-11,15], [4,-4,0,-4,0,-4,0,0,0,0,0,0,11,-11,-11,-11,11,-11,15]], [[[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,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,0,0,-1,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,0,-1,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,-1,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,-1,1,0,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,-1,0,1,0,0,0,0,1,0,0,0,0,0,-1], [1,-1,0,-1,0,-1,0,2,0,1,0,1,2,0,1,0,-1,1,0], [-1,1,0,1,-1,1,0,-2,0,0,0,-1,-2,0,-1,0,1,-1,0], [-1,1,0,0,0,1,0,-2,0,0,0,-1,-2,0,-1,0,1,-1,0], [-1,1,-1,1,0,1,0,-2,0,0,0,-1,-2,0,-1,0,1,-1,0], [-2,2,-1,2,-1,2,-1,-1,-1,-1,-1,0,0,-1,0,-1,0,0,1], [-1,0,0,1,0,1,0,-2,0,0,0,-1,-2,0,-1,0,1,-1,0], [0,-1,0,-1,0,-1,0,2,0,0,0,1,2,0,1,0,-1,1,0]], [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1], [0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,0,0,-1,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,0,-1,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,1,-1,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1], [0,0,0,0,0,0,-1,1,0,0,0,0,1,0,0,0,0,0,-1], [1,-1,0,-1,0,-1,0,2,0,0,1,0,2,1,0,1,-1,0,0], [-1,1,0,1,0,0,0,-2,0,0,0,0,-2,-1,0,-1,1,0,0], [-1,1,0,1,-1,1,0,-2,0,0,0,0,-2,-1,0,-1,1,0,0], [-1,1,0,0,0,1,0,-2,0,0,0,0,-2,-1,0,-1,1,0,0], [0,-1,0,-1,0,-1,0,2,0,0,0,0,2,1,0,1,-1,0,0], [-1,1,-1,1,0,1,0,-2,0,0,0,0,-2,-1,0,-1,1,0,0], [1,0,0,-1,0,-1,0,2,0,0,0,0,2,1,0,1,-1,0,0]]]], [ # Z-class [19][09] [[9], [-4,9], [-4,4,9], [-4,4,4,9], [-4,-1,4,-1,9], [-4,-1,-1,-1,4,9], [-4,-1,-1,-1,4,4,9], [-4,-1,-1,-1,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,4,4,4,4,9], [-4,-1,-1,-1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,9]], [[[-7,-1,-6,-1,5,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0], [8,1,6,1,-5,1,1,1,1,1,1,1,1,1,1,1,1,1,1], [7,1,6,1,-5,1,1,1,1,1,1,1,1,1,1,1,1,0,1], [7,1,6,1,-5,1,1,1,1,1,1,1,1,1,1,1,0,1,1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]], [[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]] ]; MakeImmutable( IMFList[19].matrices ); [ Dauer der Verarbeitung: 0.10 Sekunden (vorverarbeitet) ] |
2026-03-28