/* www-ATLAS of Group Representations. 2.L3(4) represented as 90 x 90 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", 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"034122240143242210101433002210230101111200100212131311300404014243111313214400000334220030", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "210004134203444120242342444431430433012344324241323213303143314404221034232424212212221310", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "314312022422412000211030211404102013003000130213441232211332014304134443430400343320230114", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "400301000043144423414420433103111012143220300341334031134044243122020222322034011122310013", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "030400001342431413014012241030000134301410430104011103042344043313343110100001303120110343", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "431001144403300330020242034140400403433143444442440410130142400102131411124042201201213342", "222113234423120212442404232103301321223324111031421222200122134020430134214313103433400303", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "203322133104002132432402112102412424010310344043130140330144043221302204213200224124110132", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "301430213331332414110144022130233122243210011034110132233124241043311101301313301302000103", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "123134424241112033114014323213131423402443400402034424432042340410243434203420340412100131", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "222431043312324330122014113204140101200101303020214002100242334001013340243134343424141142", "340140034224114434034033120323002004322120130300423134221123404301030413444040340024033200"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100410014000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "144044013000000000000000000000000000000000000000000000000000000000000000000000000000000000", "040044004000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"110041114322024030221121223024333000133323302021340110141440043321430002124341423140331004", "420413432404312120201243114342302430121411441034143341322212414402120010413403202223103210", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "102410242032402213341034240423242340443413314010324313302213101044122303041044202110112034", "014420444331331414011140031220221443234112124004401121331023240342132203014301130432241311", "434303330022031230211303000440420112143303400130012401042402133322332041023244243432021413", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "441240302311342142422221301330242132244200112224202224102112101034413322031244410320112100", "433012333410311444432113244341324300330112303123223243002310212312241241133041420300020403", "102010400100100000000000000000000000000000010000000040001000000000000000000000000000000000", 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"213444000240032022144301434032302142442303430011320303321220123024443011341433200432132343"]); G:=MatrixGroup<90,F|x,y>; print "Group G is 2.L3(4) < GL(90,GF(5))";