/* www-ATLAS of Group Representations. 6.L3(4):2a represented as 84 x 84 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,84,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "520402144321110331246625661103456066403534002353216501512066562210252660610236556461", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "605652112212033556331406434510225332240342026323055424502646103233106142303645153536", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "406440056606015550263532210042506021555516661041521232613446661120323636021553512356", "542640243413430533620561024015354403153025123561155360012423166212261151603000002011", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "412026552510164263056516033232406452344233662622461044033306016333616115062362022403", "003233344565006256130460521162243545533261165406413360353005125230145650500256206203", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "325033412642143324013466341036323442623055053001161215122026322446220253223250114452", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "626052135666230145313454651614320300652204550250362166616221146353661314564425631654", "000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "643216364321424633440500532543606465226551266212655343023412360262523212104102563555", "232256415340016060551111214366144524161446066642152045014454535213063014303616065441", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000", 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"000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "253525044513423460630405645222322455016004351514463034361324223333611244060512046351", "535601260136640203015312311251663605611426033241626064423102335460252053606122542453", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "205405152624435420432104654303160643036425404160333545044423641030440456250345141214", "321425661166441350021141635514522016311501031016152014615052530316023106320236022236", "132613150222205430541304552264463005156033655345211644034500460534430442644104322346", "616020600502300000000000000000000500000000060000000002000500000000000000000000000000", "125305611066561612450661246650643050463115622333011633343652303403643450524320302326", "504326054242241105263103331413255330100451234353265423255564556563114631366233521111", "603636312664533062054623041303621141301206353643545566063564611453031406654363151110", "602110423041650120360664236010062440450656241113305325243041246105223026562242445510", "211514612521004452413160012561522021121222013365336121536646463015552365455562434143", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "346115011522336165614061003024555223254405045113064613202550536410263334522262362405", "516204000603354561503115330303211152542635021260403444664054000331452411155166663111", "052343230512325301160661355144602643064122664411310015535132533200655543431504536220", "521225210454463436062464226615336216005156131012045004643465551341410142245241005600", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "660136200361133105361456250552402422450624634413403111503612344445642406110116144036", "622004426060255223245646115454521661046201540032144004512340032424510520050035156322", "652056521226335652240632014343502151532345164130433361211504005026260023602132152446", "452131353211620043545031613153056213556223164220424412051551351534525220621645142444", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "304442225365010564621101352246216654646316016335302444523106361221022645406200253300", "152603452501133345634140341031553541030303255525543435162436610466535531002463321360", "446140311456310436302526666601143122645140121131312145314234556042453012564430613644"]); G:=MatrixGroup<84,F|x,y>; print "Group G is 6.L3(4):2a < GL(84,GF(7))";