/* www-ATLAS of Group Representations. 2.A13 represented as 64 x 64 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "4400000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0044000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000404000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000040040000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000400040000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000004000040000000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000400000400000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000004000000400000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000400000004000000000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000004000000004000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000040000000004000000000000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000004000000000040000000000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000040000000000400000000000000000000000000000000", "0442441403043331330100310111411014104321023341100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000400000000000400000000000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000040000000000004000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000400000000000040000000000000000000000000", "0220404320424341333140444113412242302413014020000003011000000000", "0000000000000000000000000040000000000000400000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000400000000000004000000000000000000000", "1141221211143340310020202142040134144214032010000324100011000000", "0000000000000000000000000000004000000000000040000000000000000000", "1333420100223040412103411131314212442213132333110321211411200000", "0323443114414242131404123021301331144220331120241324233411300000", "2342212004344021342203001313320441134324120104041142213022400000", "0000000000000000000000000000000004000000000000004000000000000000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000040000000000000040000000000000", "1402332124314220200030133211010312342001041130000413300000000011", "0000000000000000000000000000000000000400000000000000400000000000", "2204410123433203202322220113113043243223424043030411114200400011", "2410414012443303242100013133112132240012040033123413102200100011", "0000000000000000000000000000000000000000040000000000000400000000", "2214000400401332443100210122412134440301423444412431431120233124", "4113401023040033114412322433033214232141243243344241230124322142", "4400314134223014030040421402102304343112014322041140210033000033", "3434402204403111023310443220301213434344014224334120421034214003", "1441112111200214143044232241441144440414110144432204403100342203", "0000000000000000000000000000000000000000000000000400000000000400", "2144443003213404004242312041314334141034424321024430420314421330", "2432102334301442244211243410001203420414014023434230124330134331"]); y:=CambridgeMatrix(1,F,64,[ "3400000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "3441402333442141143030302223421000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "4031102310342231212330401114010000040100000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0434203311114323323310143332230003233000010000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "3143330244403244443024100340131000200300310000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "1211002221234143114420202341240004144000000000000100000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "1324213232303444324023000403042000110300400000000100000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000001000000000", "3143431211322004001110220300100134104431012230330004001000000000", "1000414231201012242042120223324003322200220000002200000000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000100000", "2403311134314012441343102201131413003214134124110001221341200000", "0000000000000000000000000000000000000000000000000000000000010000", "0432414330312232434224240311243033403111114423020104440120100000", "0000000000000000000000000000000000000000000000000000000000001000", "2231024312401032401034010214313002211200130000001000000000000000", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000000001", "0002142312340402431400310230033141401122043220300003002000300000", "0340104323444010043102232203304134004220433012030004144400400041", "0311112411314321334330403241440202322440000300200121304002030004", "4224032124331210420000302201412401401203430130200302220310300000", "3002303341143234314420403123110413134130410302412100021220233214", "0301024114240040402142024233113342300122320201031320421011114040", "3102222321312200430042414111122303133042221144030103420130200030", "0212113414044340134211240323141042230410433321341144111040340004", "3132032142221333222002033404001222442334114222242311330004021031", "0014134331443023010112331123114221401201434111414342211022142040", "2343310043020201314222142134103240242420440402024122230124421110", "3113213313422004234231144433321024123101410003243342411030332023", "1141134412144323014310421424323140440234412432400301224340200040"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 2.A13 < GL(64,GF(5))";