/* www-ATLAS of Group Representations. L3(7).2 represented as 70 x 70 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,70,[ "0100000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000001", "6641261551350353540453132221225645436530204541562161602054300401411513", "0000000000000000000000000000000000100000000000000000000000000000000000", "3443461143325662656306326614421253501351444663151132002521204322126135", "5416201205520300501130643016315460340035142234265504062026203600436162", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "2044630634626541352325554410144120120036230602236624131450160463205436", "1455213660562634613200621224644311134000145402206646101101603543550122", "0000000000000000000000000000000000000001000000000000000000000000000000", "6414116602205420625113434613323435116501321045324500155062530250206141", "0000000000000000000000000000000000000000010000000000000000000000000000", "2545010445463326602403300023660152661220130064211516420551562131216251", "0000000000000000000000000000000000000000001000000000000000000000000000", "0135161423502663455633524516212242333240156526133224034155116234326561", "0306655034645266331563040261545626213056234052420114412050112366146326", "0000000000000000000000000000000000000000000010000000000000000000000000", "5153651433462022556325061562363214052140314461514622061462616256020212", "0662315634561055421504341250404501226225262320245316545564645510134365", "0000000000000000000000000000000000000000000000100000000000000000000000", "4212633316406611133132131002552422410030161461364551520225266305416261", "0000000000000000000000000000000000000000000000001000000000000000000000"]); y:=CambridgeMatrix(1,F,70,[ "0010000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "1006100160000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "1660660150000000000000000000000000000000000000000000000000000000000000", "0600660060000000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000000001000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000010", "5553104642266413263026515230312416505544161065636633042244225502251161", "4400555506515510320060656030034602566612326502004032566055232123404125", "4540413224005425505601452433534442255541313462225016044112536303221216", "3052221633640136113401042523600355061416053641120536434315123060524505", "6325464134540103146360062064604530100266636354614042351551521466454366", "4041014524214663201655026543562455563362344046315552166224625034301056", "0605323510126653651160020414241201532150262014402511455154320054360344", "0563230441104064601211303002651046233663325550664033604252256605660334", "0563321416251122550621043240556064513530006523244251263462123051640003", "1500252503040606445020445220133015125060216005652521364344220663336343", "4422605526222044306626661262161352020363564052535366022434562154016106", "4053355133400204532566453252223632430236333211650242113064305441213054", "0000000000000000001000000000000000000000000000000000000000000000000000", "1550116533600153636644265253465011452206201664303050261354200061456204", "3502423641616050022135126221320541323406654101265414223214211560515536", "5620361121431353164652256545532246133346600511556631145465540266041253", "0355143662331141121651515343615604263002225301501104401111502110512003", "4145262506006502452363322065212524232066303645054434406506520502412605", "1011435650364055653345444211014003102210340463346041026450304563121151", "5231202263451521626512640051205224153655140241222146625453220164062542", "3431534213445304533605013011510644621601316130442213342455262034331432", "6005366413405326460166312062226311313603523001456352232020531504053036"]); G:=MatrixGroup<70,F|x,y>; print "Group G is L3(7).2 < GL(70,GF(7))";