| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/grp/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 18.9.2025 mit Größe 283 kB |
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Quelle imf24.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 Q-class representative of the irreducible ## maximal finite integral matrix groups of dimension 24, ## ## [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 24. ## IMFList[24].matrices := [ [ # Q-class [24][01] [[1], [0,1], [0,0,1], [0,0,0,1], [0,0,0,0,1], [0,0,0,0,0,1], [0,0,0,0,0,0,1], [0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][02] [[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,-1,0,0,0,0,2], [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,-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,-1,0,0,0,0,2], [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,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,2]], [[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,-1,-2,-2,-2,-1,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,2,3,4,3,2,1,1,2,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,-2,-2,-1,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [-2,-4,-6,-5,-4,-3,-1,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]], [[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [24][03] [[4], [-2,4], [-2,0,4], [2,0,0,4], [2,-2,0,0,4], [2,0,-2,0,0,4], [-1,-1,0,-2,-1,0,4], [-1,2,0,-1,-1,0,1,4], [2,0,0,2,1,1,-1,1,4], [2,0,0,2,1,1,-1,1,2,4], [-2,2,2,0,-1,-1,0,2,0,0,4], [2,-1,0,2,1,1,-2,-1,2,1,0,4], [-2,1,0,-2,-1,-1,2,1,-2,-2,1,-2,4], [1,1,-2,1,0,1,0,0,1,0,-1,0,0,4], [-1,-1,1,0,0,-1,0,-1,0,-1,0,1,-1,-1,4], [1,1,-1,2,-1,1,0,1,1,1,1,0,0,1,-1,4], [1,-2,-1,-1,0,1,2,-1,-1,-1,-1,0,1,0,-1,0,4], [2,-2,-1,0,2,0,-1,-1,0,1,-2,1,-1,-1,0,-1,1,4], [0,-1,1,-1,0,1,0,-1,-1,0,0,0,-1,-2,0,-1,1,1,4], [-1,1,-1,0,-2,0,0,-1,-2,-1,0,-1,1,0,0,0,0,-1,0,4], [0,1,-1,1,-2,1,-1,-1,0,-1,0,1,0,0,0,1,0,-1,0,2,4], [-2,2,1,-1,-1,0,1,1,-1,-1,2,-2,2,0,-1,1,0,-2,0,0,0,4], [-2,1,0,-1,-2,-1,2,1,-1,-1,1,-2,2,0,0,0,0,-2,-1,2,1,1,4], [2,-2,-1,0,2,1,-1,-1,0,1,-2,1,-2,0,0,-1,0,2,1,-1,-1,-2,-2,4]], [[[-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-2,-1,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-1,-1,0,0,0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0], [2,1,1,0,0,0,0,1,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [-2,0,-1,2,1,1,0,1,0,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0], [-4,-2,-1,2,1,1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [-2,-1,-1,3,1,1,0,2,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [3,0,0,-2,-1,-1,0,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0], [2,0,0,-2,-1,-1,0,-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [3,1,1,-3,-1,-1,0,-2,0,1,1,0,0,0,0,0,0,0,-1,0,0,0,0,0], 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[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]]]], [ # Q-class [24][12] [[4], [-2,4], [0,-2,4], [0,0,-2,4], [0,0,0,-2,4], [0,0,-2,0,0,4], [0,0,0,0,0,0,4], [0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,0,-2,4], [0,0,0,0,0,0,0,0,-2,0,0,4], [-2,1,0,0,0,0,2,-1,0,0,0,0,4], [1,-2,1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,1,-2,1,0,1,0,-1,2,-1,0,-1,0,-2,4], [0,0,1,-2,1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,0,0,1,-2,0,0,0,0,-1,2,0,0,0,0,-2,4], [0,0,1,0,0,-2,0,0,-1,0,0,2,0,0,-2,0,0,4], [-2,1,0,0,0,0,2,-1,0,0,0,0,2,-1,0,0,0,0,4], [1,-2,1,0,0,0,-1,2,-1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,1,-2,1,0,1,0,-1,2,-1,0,-1,0,-1,2,-1,0,-1,0,-2,4], [0,0,1,-2,1,0,0,0,-1,2,-1,0,0,0,-1,2,-1,0,0,0,-2,4], [0,0,0,1,-2,0,0,0,0,-1,2,0,0,0,0,-1,2,0,0,0,0,-2,4], [0,0,1,0,0,-2,0,0,-1,0,0,2,0,0,-1,0,0,2,0,0,-2,0,0,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-2,-2,-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,-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,-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,-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,-1,0], [0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,1,1,1,1,0], [0,0,0,0,0,0,-1,-1,-2,-2,-1,-1,0,0,0,0,0,0,1,1,2,2,1,1], [0,0,0,0,0,0,1,1,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [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,-1,-1,-1,0,0,1,1,1,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,-1,-2,-2,-1,-1,1,1,2,2,1,1,0,0,0,0,0,0], [-1,-1,0,0,0,0,1,1,0,0,0,0,-1,-1,0,0,0,0,-1,-1,0,0,0,0], [0,0,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0], [0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0], [0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,-1,0], [0,1,1,1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,1,0,0,1,1,1,1,0], [1,1,2,2,1,1,-1,-1,-2,-2,-1,-1,1,1,2,2,1,1,1,1,2,2,1,1]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,-2,-3,-2,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1], 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[ # Q-class [24][13] [[4], [2,4], [-1,1,4], [-1,0,0,4], [0,0,0,-1,4], [-1,0,2,1,1,4], [-1,-1,0,0,2,2,4], [1,0,0,1,1,1,0,4], [2,1,1,0,-1,0,-1,1,4], [-1,-1,0,1,0,1,0,1,0,4], [0,-1,-1,2,1,1,1,2,1,2,4], [0,0,0,-1,0,-1,0,-1,1,2,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,1,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,2,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,-1,0,-1,1,4], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,1,0,1,0,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,2,1,1,1,2,1,2,4], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,-1,1,2,1,4]], [[[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,1,0,0,1,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,1,0,1,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,-1,0,1,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,1,1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,1,1,-2,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,-1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,-2,1,-1,0,2,1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,0,-1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [-1,1,0,-1,-1,-1,1,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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,-1,0,1,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]], [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [-1,1,-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,-1,1,0,1,-1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,1,0,1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,1,0,-1,-1,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,0,1,0,1,0,1,-1,-1,-1,2,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [24][14] [[4], [0,4], [0,0,4], [0,0,0,4], [0,1,0,2,4], [-2,-1,0,0,0,4], [0,-1,0,0,0,0,4], [0,-1,0,0,0,0,2,4], [0,0,1,0,1,-1,1,0,4], [-2,-2,-2,-2,-1,1,-1,1,-2,8], [-2,0,-2,-2,0,0,2,2,0,4,8], [0,1,2,0,0,0,0,0,0,-1,0,4], [-2,-2,-2,-2,-1,1,-1,1,-1,6,2,-1,8], [-2,-2,-2,-2,-2,2,2,0,-1,4,4,-2,2,8], [0,0,0,-1,0,1,0,-1,0,0,0,-1,-1,1,4], [0,0,1,-1,-1,-1,-1,-1,0,1,0,0,0,1,0,4], [1,-2,-1,-1,-1,0,1,0,0,1,0,-1,2,2,0,0,4], [-1,2,1,1,1,0,-1,0,-1,-1,0,1,-2,-2,-1,1,-3,6], [-2,1,-2,1,1,2,-1,0,0,1,0,-2,2,1,-1,0,-1,2,8], [0,2,2,2,1,0,-2,-1,-1,-3,-4,1,-3,-4,-1,1,-3,5,2,8], [1,0,1,-1,0,-1,1,1,2,-1,0,1,-1,-1,0,0,0,0,-1,0,4], [0,-1,0,-2,0,-1,2,2,2,2,4,1,1,1,-1,1,0,1,-1,-2,3,8], [0,1,0,0,0,0,0,0,-1,-1,0,0,-1,0,0,1,-1,1,1,1,0,0,4], [1,0,0,1,0,0,1,0,0,-2,0,1,-2,-1,0,-2,0,0,-1,0,0,0,0,4]], [[[-1,0,0,0,0,0,-1,1,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0], [1,0,1,1,0,0,-1,0,0,-1,1,0,1,1,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,-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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,1,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0], [-1,-1,0,-1,0,-1,0,0,-1,0,0,0,-1,-1,0,0,0,-1,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0], [0,-1,0,-1,0,-1,0,0,0,0,0,1,-1,0,0,-1,0,0,1,0,-1,0,0,-1], [0,1,-1,0,0,1,1,0,1,0,-1,0,1,0,0,1,-1,0,-1,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,-1,-1,0,0,0,0,0,0], [0,0,0,-1,1,1,1,0,-1,0,0,-1,0,-1,-1,2,-1,0,0,-1,1,-1,-1,1], [-1,0,-1,-1,1,0,0,0,-1,-1,-1,0,0,0,0,1,-1,-1,0,0,0,1,-1,1], [0,0,0,0,-1,0,1,-1,1,1,0,0,0,-1,0,-1,0,0,0,0,0,0,1,0], [-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [2,1,0,1,-1,1,0,0,3,1,0,0,1,1,0,-1,0,2,-1,0,0,-1,1,0], [-1,-1,-1,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0], [2,1,0,1,0,1,0,0,2,1,0,0,1,1,0,0,0,1,-1,0,0,-1,1,0], [2,1,1,2,-1,0,-1,-1,1,0,1,1,1,1,1,-2,1,0,0,1,-1,1,1,-1], [2,1,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,2,-1,0,0,-1,1,0], [0,0,-1,-1,0,1,1,0,1,1,0,0,-1,-1,-1,1,0,0,0,0,0,-1,0,0], [0,0,-1,-1,0,1,1,0,1,1,-1,0,-1,-1,-1,1,-1,0,0,-1,0,-1,0,0], [1,1,1,2,-1,1,0,-1,0,0,1,-1,1,0,0,0,0,0,0,0,1,0,0,0], [-2,-1,0,-1,1,-1,0,0,-3,-1,0,0,-1,-1,0,1,0,-1,1,-1,1,0,-1,0]], [[1,1,1,1,-1,1,1,-1,0,1,1,-1,0,-1,0,0,0,0,0,0,0,0,0,0], [1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,-1,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0], 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[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]], [ # Q-class [24][16] [[8], [-1,8], [2,1,8], [0,-1,2,8], [2,0,1,-2,8], [2,-4,-1,4,0,8], [0,0,2,1,-1,1,8], [1,1,1,1,-1,-1,-3,8], --> -------------------- --> maximum size reached --> -------------------- [ Dauer der Verarbeitung: 0.28 Sekunden (vorverarbeitet) ] |
2026-03-28