/* www-ATLAS of Group Representations. HS represented as 77 x 77 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,77,[ "01000000000000000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000000000000000", 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"33132144131322332450443303154650133214522540110341050535653305111201526145621", "00000000000000000000000000000000000000010000000000000000000000000000000000000", "31215660061333625365542101150401544552420602266305033244355062005024534264111", "00000000000000000000000000000000000000001000000000000000000000000000000000000", "35626552654530045621634345142600141614052653523402002564546162355522021324140", "05622454244524515312404341146111531230666065044152024200633333251351625340224", "00000000000000000000000000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000000000000000", "61225656216111511616666335641631424446255313164113050030010020200641010060600", "34562616416412351343562055324421330123233534335134040060040040400430140060400", "00000000000000000000000000000000000000000000010000000000000000000000000000000", "06350420200466263351050412103046342205620332041346040535643205311351560145621", "41143634626406354240320610401536500633462164125403063456422503264203045256560", "00000000000000000000000000000000000000000000000100000000000000000000000000000", "02563114356656302140342522526552114232334605226222040424211304455225462555635", "00000000000000000000000000000000000000000000000010000000000000000000000000000", "32320052614451041536301025332511143634004662446022041124050203615040225434616", "50635245665563365162636133226105505615134612561003063456402533064023005126561"]); y:=CambridgeMatrix(1,F,77,[ "00100000000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000000000000000", "06006600600000000000000000000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000000000000000", "11002106100001000000000000000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000000000000000", "11661100606001000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000000000000000", 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"00000000000000000000000000000000000000000000000000000000000000001000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000000000000000000000000000000000000000001", "61416041414243043512225622534331456336036401215203220135333323563431515220065", "61321526166350265366554256221423543436542145364314523616402156366605254543463", "13132233104351134411130155161533232336543434611655624512513316435250012306364", "04025356252220653453111342652633635603421206605324065201334562034541654206264", "02563512003402616160060355364553243416264345335131302615461152615236310251145", "00000000010000000000000000000000000000000000000000000000000000000000000000000", "04463115012064403304431430656031665622150563654466464345355655615452611331033", "66310251201656330651006231413523061640313406451624046552514334530462366066365", "36224023661363204222565522660146352632061243026311105066045515620553161611306", "63645563032456241561442665163354605662503365651210223244402366530024544564030", "56362344213514115513105446403240600611446531302020226123553564410330026526550", "42062413303641135052201251266561556552106060464622541260422641241150315635435", "45605003434341301266104254313653060324312013526615653336663030422655131124616", "22015351310121240635441252061166545343431555516101012303022461561454460543401", "34135444655653551662345650611464632053131344160253616505401560015655365500050", "51636222023026430034003662133113240243433362121211504633606623203126651216666", "05254520364401302150242344611065414630614031146350631512651604016553536151500", "00551651441216411440015663254221323305503464306510651561145421034350661263024", "60040663421131431255405231450652565161132625466156111540215161535512360520422", "10533144403656334612216535652254056226010630034461436125234144566463040301123", "00000000000010000000000000000000000000000000000000000000000000000000000000000", "60150545506432002055406353165022340544305254624035445315115341104633133344263", "56312600265156160503443465203634564133363456615363116213464210326631532436114", "13451450600355636045621545312232656312166612624234125434240123654353654614056", "22354633212166563003223436142600555546435430450016335513652656610533260662021", "62511562552362155232540152201045041210416561630432021220023224105531555636015", "51636116031616362440306451312331345304602565456501523456400646351210434001603"]); G:=MatrixGroup<77,F|x,y>; print "Group G is HS < GL(77,GF(7))";