/* www-ATLAS of Group Representations. L3(4) represented as 63 x 63 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,63,[ "010000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000010000000000000000000000000000000", "023410200002304402103413124440131002112304434340021141134133431", "000000000000000000000000000000001000000000000000000000000000000", "230444201321122104100343432234413341213201204422323334413041004", "000000000000000000000000000000000010000000000000000000000000000", "234401201112342104114102204444001144021323111421304122330312442", "124142041302030233321021011243404404034411222020111423412311114", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "324443310420023112324422130321013143444323222334400412412440112", "242423134301013210114242313414432213024001300224333412110111132", "000000000000000000000000000000000000000100000000000000000000000", "434334324230413120120003224011410303221123231324030443410022033", "000000000000000000000000000000000000000001000000000000000000000", "333311201110133132340101220204003120330210134003101440342331024", "000000000000000000000000000000000000000000100000000000000000000", "122311242140141230232202303403131221432421220303033333342334231", "000000000000000000000000000000000000000000001000000000000000000"]); y:=CambridgeMatrix(1,F,63,[ "001000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "100410014000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "144044013000000000000000000000000000000000000000000000000000000", "040044004000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "222320343103300300010400303020000002000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000100000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000010000000", "000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010", "010122003441403113111332142214320134022144433011110333224131204", "021213222131440041132044212143040100413112142143023103013434324", "000000000000001000000000000000000000000000000000000000000000000", "403222233024422022323300240400200312033032120313233302320010014", "141210120300431114321231112220001331143433030311201100331404220", "230344232410431004130141420000232100323400413114321004113210224", "111304244341200240014022120103204213240400201421214042140234041", "000000000000000000000000000010000000000000000000000000000000000", "121103120421204320004323024042213032322340234423400331130003323", "303040100301300000000000000000000000000000040000000010003000000", "112130032331333141204102204223113111240231034244304130214340340", "444140131003100100040100401000000003001000000000000000000000000", "410333101140340222041140324114110442031243040124201000303232021", "432300324014411433021142213140410143122232221242211212444432400", "421111022431123321330240211440030030423220440230202243213431032", "000000000000000000100000000000000000000000000000000000000000000", "302433122004100011441130042331040333034314041031412132301214200", "432224243343010123042221024420210012341231022331402311002330320", "424040000401300000000000000000000400000000000000000010004000000"]); G:=MatrixGroup<63,F|x,y>; print "Group G is L3(4) < GL(63,GF(5))";