/* www-ATLAS of Group Representations. 2.A14 represented as 64 x 64 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "6600000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0060600000000000000000000000000000000000000000000000000000000000", "0006060000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000006006000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000600060000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000060000600000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000600000600000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000006000000600000000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000060000000600000000000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000006000000006000000000000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000060000000006000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000006000000000060000000000000000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000060000000000060000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000006000000000000600000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000060000000000000600000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000600000000000000600000000000000000000000", "6524223240345415604003400406606601032145642500555363403246343563", "0000000000000000000000000060000000000000006000000000000000000000", "5503452220123035622146623020660424451424226342532630542121034311", "0601542436602666533342210312226165346456246505202530215505144621", "0000000000000000000000000000600000000000000006000000000000000000", "6164246524522533220260455536463142416243643152526416462611562204", "3410362211633044036311620256313245510103012140323345052044436124", "0000000000000000000000000000006000000000000000006000000000000000", "5651422042545440316324405503152301662415142445110435532053151100", "0000000000000000000000000000000600000000000000000060000000000000", "2161323603335150222636162360464336363653313154322506030634256643", "1430056566624325603546431303653501265434033464434204235311143144", "0000000000000000000000000000000006000000000000000000060000000000", "4415333030335040053233321543012211660664246664251226141523345312", "6266444631136463365100634265633215532216325625414003004342536443", "0000000000000000000000000000000000060000000000000000000060000000", "1320142524104153532300343063621254340615225411401233130345134200", "0000000000000000000000000000000000006000000000000000000000600000", "1645546336444312162263363634341136534503551335421214256221623026", "2535042600020202055360066425161525411154022236154151031040641113", "0000000000000000000000000000000000000060000000000000000000000600", "6402062045303643633646453045125500612541544642023435044306606646", "0000000000000000000000000000000000000006000000000000000000000006"]); y:=CambridgeMatrix(1,F,64,[ "0010000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "6061000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000010", "3162641245406242660423113263204561261164506664664046154406324603", "5331005363230451550540036655014601234455300132662164642532353531", "6114052642321462610500530024512100521646524032064030342624101332", "4650321365125564341236110544006430062160266652163303354525530542", "6120224622641614434453431624306650516454506426541233536015601212", "1163424333062224223062442041254504352631356264555110516665036220", "1632034550424433551033550365115111602453565006351152256151366436", "4460350613322564265444411215161444043025006444140002254565350146", "3155356056034543521516561404320020166034104041201464601600645331", "1606614250005066266653530316452061200021326516500003502314003015", "3122162325612510205246515660636032140100645166262252231643405632", "2526343036662144423052336144534056342544350112646642423224123533", "0543013012641552506316112625134205605024636112521420444514034624", "1154466412301664236013230610360235444241551630330135045313313452", "4640414120346366105106420061126555056342362623550405222161423033", "0040526355653306500044505431465161306034630352245305256555224162", "3010250636231111106664143331165520221323056600163032661146234210", "4414426403446055205263310426613660130451524163534123335523245332", "4606105510160540124132305536466664246224134125654010615634553534", "6456104545250621450400256034534126141646063603302116114334321320", "3115200611531162325146165325530564235334064666453110642164420333", "0121353300666624411230152526401565204606400345644602323446441643", "1635024304264612315554624552461134023546461152130522231103226035", "4505502314356401216205051403543543414410321424362165361200354056", "4414356465102012111045631423320245242155150012066144332620525036"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 2.A14 < GL(64,GF(7))";