Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/recog/misc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 22.0.2025 mit Größe 178 kB image not shown  

Quelle  twoelorders.gi   Sprache: unbekannt

 
#############################################################################
##
##  This file is part of recog, a package for the GAP computer algebra system
##  which provides a collection of methods for the constructive recognition
##  of groups.
##
##  This files's authors include Max Neunhöffer, Ákos Seress.
##
##  Copyright of recog belongs to its developers whose names are too numerous
##  to list here. Please refer to the COPYRIGHT file for details.
##
##  SPDX-License-Identifier: GPL-3.0-or-later
##
##
##  Code to recognise (simple) groups by their two largest element orders.
##  At least recognise the "natural" characteristic.
##
#############################################################################

# If you change the following, rerun RECOG.AddInformationAboutDegree below
# to recreate RECOG.TableOfTwoLargestGroupElementOrdersWithDegreeBound!

RECOG.TableOfTwoLargestGroupElementOrders :=
[ [3,2,["l",2,5]],[4,3,["l",2,7]],[5,3,["l",2,4]],
  [5,3,["l",2,5]],[5,3,["s",4,2]],[5,4,["l",2,9]],
  [5,4,["s",4,2]],[5,4,["s",4,3]],[6,5,["l",2,11]],
  [6,5,["s",4,2]],[6,5,["s",4,3]],[7,4,["l",2,7]],
  [7,4,["l",3,2]],[7,5,["l",3,4]],[7,6,["l",2,13]],
  [8,7,["u",3,3]],[8,7,["u",3,5]],[8,7,["u",4,3]],
  [9,5,["s",4,3]],[9,5,["u",4,2]],[9,6,["s",4,3]],
  [9,6,["u",4,2]],[9,7,["l",2,8]],[9,8,["l",2,17]],
  [9,8,["u",4,3]],[10,8,["u",3,5]],
  [10,9,["l",2,19]],[11,6,["l",2,11]],
  [11,8,["M11"]],
  [11,8,["M22"]],
  [11,10,["M12"]],
  [12,5,["s",4,3]],[12,6,["s",4,3]],
  [12,8,["u",3,3]],[12,8,["u",4,3]],
  [12,9,["s",4,3]],[12,9,["u",4,2]],
  [12,9,["u",4,3]],[12,11,["l",2,23]],
  [13,5,["2F4",2]],[13,6,["2F4",2]],[13,7,["2B2",8]],
  [13,7,["l",2,13]],[13,8,["2F4",2]],[13,8,["G2",3]],
  [13,8,["l",3,3]],[13,9,["G2",3]],[13,10,["2F4",2]],
  [13,12,["2F4",2]],[13,12,["G2",3]],
  [13,12,["l",2,25]],[13,12,["s",4,5]],
  [14,13,["l",2,27]],[15,7,["l",4,2]],
  [15,9,["o+",8,2]],[15,9,["s",6,2]],
  [15,10,["o+",8,2]],[15,10,["s",6,2]],
  [15,11,["u",5,2]],[15,11,["u",6,2]],
  [15,12,["o+",8,2]],[15,12,["s",6,2]],
  [15,12,["u",5,2]],[15,12,["u",6,2]],
  [15,12,["J2"]],
  [15,13,["s",4,5]],[15,13,["u",3,4]],
  [15,14,["l",2,29]],[16,13,["2F4",2]],
  [16,15,["l",2,31]],[17,9,["l",2,17]],
  [17,15,["l",2,16]],[17,15,["s",4,4]],
  [18,15,["u",5,2]],[18,15,["u",6,2]],
  [19,10,["l",2,19]],
  [19,15,["J1"]],
  [19,16,["l",3,7]],
  [19,17,["J3"]],
  [19,18,["l",2,37]],[20,13,["l",4,3]],
  [20,13,["s",4,5]],[20,14,["o",7,3]],
  [20,14,["o+",8,3]],[20,14,["s",6,3]],
  [20,15,["o",7,3]],[20,15,["o+",8,3]],
  [20,15,["s",4,5]],[20,15,["s",6,3]],
  [20,15,["HS"]],
  [20,18,["o",7,3]],[20,18,["o+",8,3]],
  [20,18,["s",6,3]],[21,13,["3D4",2]],
  [21,14,["3D4",2]],[21,15,["G2",4]],[21,17,["F4",2]],
  [21,17,["o-",8,2]],[21,17,["s",8,2]],
  [21,18,["3D4",2]],[21,18,["F4",2]],
  [21,18,["s",8,2]],[21,19,["u",3,8]],
  [21,20,["F4",2]],[21,20,["l",2,41]],
  [21,20,["s",8,2]],[22,21,["l",2,43]],
  [23,12,["l",2,23]],
  [23,15,["M23"]],
  [23,21,["M24"]],
  [24,20,["s",6,3]],
  [24,21,["F4",2]],[24,21,["s",8,2]],
  [24,21,["Suz"]],
  [24,23,["l",2,47]],[25,24,["l",2,49]],
  [25,24,["s",4,7]],[27,26,["l",2,53]],
  [28,21,["3D4",2]],[28,21,["F4",2]],
  [28,21,["He"]],
  [28,24,["F4",2]],
  [28,25,["s",4,7]],[29,15,["l",2,29]],
  [29,26,["Ru"]],
  [30,13,["s",4,5]],[30,15,["s",4,5]],
  [30,15,["McL"]],
  [30,20,["s",4,5]],[30,20,["s",6,3]],
  [30,21,["F4",2]],[30,21,["o-",8,2]],
  [30,21,["s",8,2]],[30,24,["F4",2]],
  [30,24,["s",6,3]],[30,24,["s",8,2]],
  [30,24,["Co3"]],
  [30,24,["Fi22"]],
  [30,28,["F4",2]],
  [30,28,["Co2"]],
  [30,29,["l",2,59]],
  [31,16,["l",2,31]],[31,21,["l",5,2]],
  [31,24,["G2",5]],[31,24,["l",3,5]],
  [31,25,["G2",5]],
  [31,28,["O'N"]],
  [31,30,["G2",5]],
  [31,30,["l",2,61]],[33,31,["l",2,32]],
  [34,33,["l",2,67]],[35,33,["2E6",2]],
  [35,33,["o-",10,2]],[36,20,["s",6,3]],
  [36,24,["s",6,3]],[36,30,["s",6,3]],
  [36,35,["l",2,71]],[37,19,["l",2,37]],
  [37,26,["2G2",27]],[37,36,["l",2,73]],
  [39,31,["l",4,5]],
  [39,36,["Th"]],
  [40,35,["HN"]],
  [40,37,["u",3,11]],
  [40,39,["l",2,79]],[41,21,["l",2,41]],
  [41,31,["2B2",32]],[41,40,["l",2,81]],
  [41,40,["s",4,9]],[42,25,["s",4,7]],
  [42,28,["s",4,7]],[42,41,["l",2,83]],
  [43,22,["l",2,43]],[44,40,["u",3,11]],
  [45,44,["l",2,89]],[47,24,["l",2,47]],
  [48,43,["u",3,7]],[49,48,["l",2,97]],
  [51,45,["o+",10,2]],[51,45,["s",10,2]],
  [51,50,["l",2,101]],[52,41,["o",9,3]],
  [52,41,["o-",8,3]],[52,41,["s",8,3]],
  [52,42,["o",9,3]],[52,42,["s",8,3]],
  [52,45,["o",9,3]],[52,45,["s",8,3]],
  [52,51,["l",2,103]],[53,27,["l",2,53]],
  [54,53,["l",2,107]],[55,54,["l",2,109]],
  [56,25,["s",4,7]],[56,28,["s",4,7]],
  [56,42,["s",4,7]],[56,48,["u",3,7]],
  [57,48,["G2",7]],[57,49,["G2",7]],[57,56,["G2",7]],
  [57,56,["l",2,113]],[59,30,["l",2,59]],
  [60,42,["Co1"]],
  [60,42,["Fi23"]],
  [60,45,["Fi24'"]],
  [60,51,["o+",10,2]],[60,51,["s",10,2]],
  [60,52,["o",9,3]],[60,52,["o-",8,3]],
  [60,52,["s",8,3]],[61,31,["l",2,61]],
  [61,56,["l",3,13]],[61,60,["l",2,121]],
  [61,60,["s",4,11]],[63,31,["l",6,2]],
  [63,45,["u",7,2]],[63,52,["u",4,5]],
  [63,60,["u",4,5]],[63,60,["u",7,2]],
  [63,62,["l",2,125]],[64,63,["l",2,127]],
  [65,51,["u",4,4]],[65,51,["u",5,4]],
  [65,63,["l",2,64]],[65,63,["s",4,8]],
  [66,44,["J4"]],
  [66,61,["s",4,11]],[66,63,["u",7,2]],
  [66,65,["l",2,131]],[67,34,["l",2,67]],
  [67,42,["Ly"]],
  [69,68,["l",2,137]],
  [70,66,["B"]],
  [70,69,["l",2,139]],
  [71,36,["l",2,71]],[72,52,["s",8,3]],
  [72,60,["s",8,3]],[73,37,["l",2,73]],
  [73,63,["G2",8]],[73,63,["l",3,8]],
  [75,74,["l",2,149]],[76,75,["l",2,151]],
  [78,52,["s",8,3]],[78,60,["s",8,3]],
  [78,63,["o",7,5]],[78,63,["s",6,5]],
  [78,65,["o",7,5]],[78,65,["s",6,5]],
  [78,72,["s",8,3]],[79,40,["l",2,79]],
  [79,78,["l",2,157]],[80,61,["u",5,3]],
  [80,65,["o-",10,3]],[80,73,["u",3,9]],
  [82,81,["l",2,163]],[83,42,["l",2,83]],
  [84,52,["s",8,3]],[84,60,["s",8,3]],
  [84,72,["s",8,3]],[84,78,["s",8,3]],
  [84,80,["o-",10,3]],[84,80,["u",5,3]],
  [84,83,["l",2,167]],[85,63,["l",4,4]],
  [85,65,["s",6,4]],[85,84,["l",2,169]],
  [85,84,["s",4,13]],[86,75,["u",4,7]],
  [86,84,["u",4,7]],[87,86,["l",2,173]],
  [89,45,["l",2,89]],[90,52,["s",8,3]],
  [90,60,["s",8,3]],[90,72,["s",8,3]],
  [90,78,["s",8,3]],[90,84,["s",8,3]],
  [90,89,["l",2,179]],[91,80,["l",3,9]],
  [91,85,["l",3,16]],[91,85,["s",4,13]],
  [91,90,["l",2,181]],[93,65,["o-",12,2]],
  [93,84,["o-",12,2]],[93,91,["E6",2]],
  [96,91,["u",3,17]],[96,95,["l",2,191]],
  [97,49,["l",2,97]],[97,96,["l",2,193]],
  [99,98,["l",2,197]],[100,99,["l",2,199]],
  [101,51,["l",2,101]],[102,93,["o-",12,2]],
  [102,96,["u",3,17]],[103,52,["l",2,103]],
  [104,73,["3D4",3]],[104,78,["3D4",3]],
  [104,84,["3D4",3]],[105,85,["o+",12,2]],
  [105,93,["s",12,2]],[105,102,["s",12,2]],
  [106,105,["l",2,211]],[107,54,["l",2,107]],
  [109,55,["l",2,109]],[110,61,["s",4,11]],
  [110,66,["s",4,11]],[112,111,["l",2,223]],
  [113,57,["l",2,113]],[114,113,["l",2,227]],
  [115,114,["l",2,229]],[117,116,["l",2,233]],
  [119,110,["M"]],
  [120,78,["s",6,5]],[120,105,["s",12,2]],
  [120,119,["l",2,239]],[121,104,["l",5,3]],
  [121,120,["l",2,241]],[122,91,["u",6,3]],
  [122,120,["u",6,3]],[122,121,["l",2,243]],
  [126,93,["E6",2]],[126,125,["l",2,251]],
  [127,64,["l",2,127]],[127,105,["l",7,2]],
  [127,120,["l",3,19]],[129,99,["u",8,2]],
  [129,99,["u",9,2]],[129,126,["u",8,2]],
  [129,126,["u",9,2]],[129,127,["l",2,128]],
  [129,128,["l",2,257]],[130,78,["s",6,5]],
  [130,120,["s",6,5]],[131,66,["l",2,131]],
  [132,61,["s",4,11]],[132,66,["s",4,11]],
  [132,110,["s",4,11]],[132,129,["u",8,2]],
  [132,129,["u",9,2]],[132,131,["l",2,263]],
  [133,120,["G2",11]],[133,120,["l",3,11]],
  [133,121,["G2",11]],[133,132,["G2",11]],
  [135,134,["l",2,269]],[136,135,["l",2,271]],
  [137,69,["l",2,137]],[139,70,["l",2,139]],
  [139,138,["l",2,277]],[141,140,["l",2,281]],
  [142,141,["l",2,283]],[145,127,["2B2",128]],
  [145,144,["l",2,289]],[145,144,["s",4,17]],
  [147,146,["l",2,293]],[149,75,["l",2,149]],
  [151,76,["l",2,151]],[153,145,["s",4,17]],
  [154,153,["l",2,307]],[156,78,["o+",8,5]],
  [156,85,["s",4,13]],[156,91,["s",4,13]],
  [156,155,["l",2,311]],[157,79,["l",2,157]],
  [157,156,["l",2,313]],[159,158,["l",2,317]],
  [163,82,["l",2,163]],[164,140,["o+",10,3]],
  [164,140,["s",10,3]],[164,156,["o+",10,3]],
  [164,156,["s",10,3]],[166,165,["l",2,331]],
  [167,84,["l",2,167]],[168,157,["u",3,13]],
  [169,168,["l",2,337]],[172,171,["l",2,343]],
  [173,87,["l",2,173]],[174,173,["l",2,347]],
  [175,174,["l",2,349]],[176,169,["u",3,23]],
  [177,176,["l",2,353]],[179,90,["l",2,179]],
  [180,164,["s",10,3]],[180,179,["l",2,359]],
  [181,91,["l",2,181]],[181,180,["l",2,361]],
  [181,180,["s",4,19]],[182,85,["s",4,13]],
  [182,91,["s",4,13]],[182,121,["l",6,3]],
  [182,156,["s",4,13]],[182,168,["u",3,13]],
  [183,168,["G2",13]],[183,169,["G2",13]],
  [183,182,["G2",13]],[184,176,["u",3,23]],
  [184,183,["l",2,367]],[187,186,["l",2,373]],
  [190,181,["s",4,19]],[190,189,["l",2,379]],
  [191,96,["l",2,191]],[192,191,["l",2,383]],
  [193,97,["l",2,193]],[195,165,["o+",14,2]],
  [195,186,["o+",14,2]],[195,194,["l",2,389]],
  [197,99,["l",2,197]],[199,100,["l",2,199]],
  [199,198,["l",2,397]],[200,171,["l",4,7]],
  [200,172,["o",7,7]],[200,172,["s",6,7]],
  [200,175,["o",7,7]],[200,175,["s",6,7]],
  [201,200,["l",2,401]],[204,195,["o+",14,2]],
  [205,182,["l",4,9]],[205,204,["l",2,409]],
  [210,209,["l",2,419]],[211,106,["l",2,211]],
  [211,210,["l",2,421]],[216,215,["l",2,431]],
  [217,208,["l",3,25]],[217,216,["l",2,433]],
  [220,219,["l",2,439]],[222,221,["l",2,443]],
  [223,112,["l",2,223]],[225,224,["l",2,449]],
  [227,114,["l",2,227]],[229,115,["l",2,229]],
  [229,228,["l",2,457]],[231,230,["l",2,461]],
  [232,231,["l",2,463]],[233,117,["l",2,233]],
  [234,164,["s",10,3]],[234,180,["s",10,3]],
  [234,233,["l",2,467]],[239,120,["l",2,239]],
  [240,164,["s",10,3]],[240,180,["s",10,3]],
  [240,234,["s",10,3]],[240,239,["l",2,479]],
  [241,121,["l",2,241]],[244,243,["l",2,487]],
  [246,164,["s",10,3]],[246,180,["s",10,3]],
  [246,234,["s",10,3]],[246,240,["s",10,3]],
  [246,245,["l",2,491]],[250,249,["l",2,499]],
  [251,126,["l",2,251]],[252,164,["s",10,3]],
  [252,180,["s",10,3]],[252,234,["s",10,3]],
  [252,240,["s",10,3]],[252,246,["s",10,3]],
  [252,251,["l",2,503]],[255,85,["o+",8,4]],
  [255,155,["o-",14,2]],[255,195,["s",14,2]],
  [255,204,["s",14,2]],[255,210,["o-",14,2]],
  [255,210,["s",14,2]],[255,217,["l",8,2]],
  [255,241,["u",3,16]],[255,254,["l",2,509]],
  [257,129,["l",2,257]],[257,255,["l",2,256]],
  [257,255,["s",4,16]],[261,260,["l",2,521]],
  [262,261,["l",2,523]],[263,132,["l",2,263]],
  [265,264,["l",2,529]],[265,264,["s",4,23]],
  [269,135,["l",2,269]],[271,136,["l",2,271]],
  [271,270,["l",2,541]],[272,145,["s",4,17]],
  [272,153,["s",4,17]],[273,255,["G2",16]],
  [274,273,["l",2,547]],[276,265,["s",4,23]],
  [277,139,["l",2,277]],[279,278,["l",2,557]],
  [280,271,["u",3,29]],[281,141,["l",2,281]],
  [282,281,["l",2,563]],[283,142,["l",2,283]],
  [285,284,["l",2,569]],[286,285,["l",2,571]],
  [289,288,["l",2,577]],[290,280,["u",3,29]],
  [293,147,["l",2,293]],[294,293,["l",2,587]],
  [297,296,["l",2,593]],[300,299,["l",2,599]],
  [301,300,["l",2,601]],[304,303,["l",2,607]],
  [306,145,["s",4,17]],[306,153,["s",4,17]],
  [306,272,["s",4,17]],[307,154,["l",2,307]],
  [307,288,["G2",17]],[307,288,["l",3,17]],
  [307,289,["G2",17]],[307,306,["G2",17]],
  [307,306,["l",2,613]],[309,308,["l",2,617]],
  [310,309,["l",2,619]],[311,156,["l",2,311]],
  [313,157,["l",2,313]],[313,312,["l",2,625]],
  [313,312,["s",4,25]],[315,241,["3D4",4]],
  [315,257,["o-",8,4]],[316,315,["l",2,631]],
  [317,159,["l",2,317]],[321,320,["l",2,641]],
  [322,321,["l",2,643]],[324,323,["l",2,647]],
  [327,326,["l",2,653]],[330,329,["l",2,659]],
  [331,166,["l",2,331]],[331,320,["l",3,31]],
  [331,330,["l",2,661]],[333,305,["u",4,11]],
  [333,330,["u",4,11]],[336,200,["s",6,7]],
  [337,169,["l",2,337]],[337,336,["l",2,673]],
  [339,338,["l",2,677]],[341,315,["l",5,4]],
  [341,331,["u",3,32]],[342,181,["s",4,19]],
  [342,190,["s",4,19]],[342,341,["l",2,683]],
  [346,345,["l",2,691]],[347,174,["l",2,347]],
  [349,175,["l",2,349]],[350,200,["s",6,7]],
  [350,336,["s",6,7]],[351,350,["l",2,701]],
  [353,177,["l",2,353]],[355,354,["l",2,709]],
  [359,180,["l",2,359]],[360,343,["u",3,19]],
  [360,359,["l",2,719]],[364,363,["l",2,727]],
  [365,328,["u",4,9]],[365,364,["l",2,729]],
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