/* www-ATLAS of Group Representations. 4b.L3(4) represented as 72 x 72 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,72,[ "010000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "431406600010000000400060000000000000000000000000000000000000000000000000", "344160060000400100000600000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100", "466036500313555614254402630065050254030425211014351210620310544010155360", "000000000000000000000000000000000000001000000000000000000000000000000000", "551156130462635265444163505504155353432353365230353624336503011540561066", "510346522214510461206624114313326430145363102431324362525205404412021414", "000000000000000000000000000000000000000001000000000000000000000000000000", "312223614150213405523441650410666622646201230126201160241335124464440230", "000000000000000000000000000000000000000000010000000000000000000000000000", "154631355005042002641556441562152133442663632104553515153621023426560326", "000000000000000000000000000000000000000000001000000000000000000000000000", "426122465040616655123345125515432440050562263226455512664333301062611044", "264001232000562312013364505221101006602532433664145354441200164350412532", "000000000000000000000000000000000000000000000010000000000000000000000000", "433240405126060315334433554013501235333632323364161251504251425430454313", "000000000000000000000000000000000000000000000001000000000000000000000000", "621033441543210451354132004162065244235151210121063226661352611531523453", "626005302554530523432561126036622250450015103422140104423541641542112502", "000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000", "665441110063443205505451652560333641300226425442004032613540305634605130", "462063403021226544325606533066323410422415214413413616000165306403556432"]); y:=CambridgeMatrix(1,F,72,[ "360000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "315040000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "415010003000002000006000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000", "210300200006000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000000000000000000001", "201360426053162604532344454515315620000201113465346244356120200211626215", "606445020216645633352101313054152214644042002154236101103340522601560462", "044204160532420344451212050515336622241665302464160162520501541406303160", "254401302560026232243235103063201200313436251432315336302443014143152502", "414066241550646016143111021520534623053444406515465552462011300461401353", "613336622235350343403433006005065551302512625432533163226123031556412115", "000000000000000000000001000000000000000000000000000000000000000000000000", "025011312154063644550561430420323426313161200411303040336213036524566042", "602121520601052344066143214243240125621103036054222204234500130506233121", "342443603214451543643435620243465240514421422552162522500265236302242604", "530064332533641303226130160050603550566046233256114346661102341102343164", "000000000000000000000000010000000000000000000000000000000000000000000000", "124104603606365034444625551566405401155044636020143201255505351655321051", "203415250054406131063602541053305446634010005501365506202346501442436466", "000000000000000000000000000000000000000000000000000000000010000000000000", "043230320455050263325421130552045131152645620453021556021443520605113265", "245314066222106223016646061330022146634361335203512300102403062545242513", "000000000000000000000000000100000000000000000000000000000000000000000000", "565010325542426235403543343611410143000455250321204204162421355666535364"]); G:=MatrixGroup<72,F|x,y>; print "Group G is 4b.L3(4) < GL(72,GF(7))";