/* www-ATLAS of Group Representations. 2.J2.2 represented as 100 x 100 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,100,[ "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000006000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "0000000000000060000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "0000000000000006000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "0000000000000000060000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000600000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000060000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000600000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000006000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000600000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000006000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000600000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000006000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000060000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000006000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000060000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000006000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000060000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000600000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000060000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "6633463316352526563566263665216126445601041303452201264613426214004415013460435554331636643460055462", "0000000000000000000000000000000000000000000060000000000000000000000000000000000000000000000000000000", "1044213312662426166462435061223411122615000412065110300024250034622665423055364212512644625641004016", "0000000000000000000000000000000000000000000006000000000000000000000000000000000000000000000000000000", "6654060116022124154342635333412225556613535401542225421205112312433321212330620561256150066402266012", "2634422412600420331542220635241134110634261100650145330216411641655610413040335431533033610246402230", "0000000000000000000000000000000000000000000000060000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000006000000000000000000000000000000000000000000000000000", "1255142324624414453650326641424424463422542333214151312445533045411644542620151645231413114033140313", "3462316066664421646341400220250052601151243552461262532403456432206162236330201062521530121634302202", "0000000000000000000000000000000000000000000000000060000000000000000000000000000000000000000000000000", "4135460014255360305322433101205355653344044243535403204303461250206054043424534415056200454404252410", "2266030243014622050043504246402256145014042122400300134251224650045412232114642423163163606545311323", "0000000000000000000000000000000000000000000000000000600000000000000000000000000000000000000000000000", "4056250102601123422324302411020366421302431006664115613221611500161425051314532153043554450401435324", "0000000000000000000000000000000000000000000000000000060000000000000000000000000000000000000000000000", "0430645560451143315551500100321526342025124600360256010202461304322013543644066126014451214030041242", "2133446642061343525004256623162310252543211304036534260663002636430234115326445663046026656065510315", "0650102302046216200244360305305130515500521606414404562234025452240462016442366023446364242060044445", "0000000000000000000000000000000000000000000000000000000060000000000000000000000000000000000000000000", "0605313445334321004466432060206445560236412066302656036513436063563122524420531653540564513360513654", "0000000000000000000000000000000000000000000000000000000006000000000000000000000000000000000000000000", "3353544533463664355210501625566166044143353644254414426532116211603622610154120003631063115050200065", "0363220060240036356524060565231365051444150534105445434055026424354112214335200563242240605541324555", "0000000000000000000000000000000000000000000000000000000000060000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000006000000000000000000000000000000000000000", "5542104656005455145600366333016562456460144223306524635301130053025346465064213633066235410363522531", "5020014251065633622561314465200231356443413301135200411350105602621320562451321113221313411546200212", "0000000000000000000000000000000000000000000000000000000000000060000000000000000000000000000000000000", "5211215060154624005533032255004051542030460363123460463240424350611101132560206114035610060211160103", "3056265566616312156423245201342051055362261333234051306112340422023066362215263255436612061236006005", "0000000000000000000000000000000000000000000000000000000000000000600000000000000000000000000000000000", "2226366642564665240600665626021430320625166414121135132601064146552552106060664131361520316066143245", "0000000000000000000000000000000000000000000000000000000000000000060000000000000000000000000000000000"]); y:=CambridgeMatrix(1,F,100,[ "0010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "5666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "6600010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "0000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "5631112414054363314466256101654652206355253252550545120365440212164222320644130524631431641016262442", "4216203255020053051340345514014665050321464450636031415311026103323365510141561151353255520610366113", "5410342535404165663334652642452636336413540155651566433121653615201360666205415360524326630246453403", "4504603006036353215252055544102014004532063413523433642150651365213134622043452004333016055264430243", "1636606104454666623165243136020206211263256626205316412634506063045463606516153162621521654351341543", "2335403422621053256231311243664045040605444556265236161444540253041020321031540630304634166244020002", "1102665451163600635341264061626321035261611533535543024202656052423051045265532460053413126124515410", "6216535151110125060141222635534434401631022022233454202365641505325362332512432210150344452211250226", "1214006660214205262144641560312252100466262306346561643301420001022166244306060455414443334614545262", "1466013263524554551445610651531442331543155516033243161444250543501536304263253542263262220446652334", "0635501340262233041364241301401323615424504200144313254626544025266135044045213030463365061642061246", "0664320615153560245546655145402151012421611555013345562562310263045344115633216225522425426064025205", "0000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "3115430310166616044655101135023611610106463662546261643242452305602604515466454365052443143650362663", "2332466406356226526106656214421150642112530665346230644624104324310345521663614016214116051622046362", "4042106653246312244161321134536413645554305522255465334254645534662362126335331012034326256542160514", "6112442335555030144634565223036562165212540131313051625410051514641155456003261032235330066241654250", "3234105414521612105406205456032423551135311550656132103212342653446115422515142512333436365655066665", "6130364200115050601300565152563035234333423321603550131552561401105455014414640360051232110214152245", "5322620102214306605230323101164314451610231165441141441423612124333565450500142120565011343464512310", "4032412212266611043120550420604432501352043314602351204252635566053051102340314654441115604455310404", "1313503643064411455105512012136006512215420240351316351156112026366104462515102451315653624622265040", "5051333240606634145316516400111645206303212151215556516205366400001260020230523316423115360141611334", "3304262024645650264005433160425020200110412111202426553240651505234436520130535326543150151266535416", "5130101663400601056005626055020350032342361412340165335223002310260646602566615413524366430265133421", "4215055162526435621501203454163164006513563405323660610501142100433520531562550463452503442602053131", "4345215330040510213342566222206163205152001412103165233304002443044163461301265526262450653126251254", "3003313401020246234552523265111626516110601261313614031644001413562125113240102622616132246642546205", "6403214404404610462010360542623452240054335252343202556344242434616642466606363215244543445255143341", "5523514561065251444451134542550135004156255414051235104240650410444102544562441252016051506012520602", "0000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "6652054222436200541534014405161360010003504222110055615440360362024535450536346425612412230454500012", "0614023041200510261042604121054322612031563510514614545041032545443045433161163653025563263230444225", "1652360501606262055645311032543625231255533224366231604421611102025043645620026245560136533140651323", "4232005331050401311014444635114306155001054644352250446540212511142046550404554420402410606051504206"]); G:=MatrixGroup<100,F|x,y>; print "Group G is 2.J2.2 < GL(100,GF(7))";