/* www-ATLAS of Group Representations. 2.L3(4):2a represented as 70 x 70 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,70,[ "0100000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "4463054000300000001000600000000000000000000000000000000000000000000000", "4436400500001003000006000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "4334403000006000001000006000000001000000010000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000100000000000000000000000000000000000", "0052104343513665515041626416604361050230646641234515405113243425016432", "4131306101533401321651501116033335225160552641601533120331044366362202", "0000000000000000000000000000000000001000000000000000000000000000000000", "0660554244052246446423004513115255012665655411443605542131110130512042", "0000000000000000000000000000000000000010000000000000000000000000000000", "3655000125416034311630551106403162213435102501223336456134302424255615", "0000000000000000000000000000000000000001000000000000000000000000000000", "6433436223252304453504155252531610121010625263020050233614103666634026", "1625310200333663615251323044222450021040202233541502450020031064421166", "3352440352202412535650112435344104205155332064151630046314465043023553", "0000000000000000000000000000000000000000000100000000000000000000000000", "5115242051623263252364052544441050535041022640430503062435561323321345", "4266362310534324424155316110064466556163263552155452001204121120612122", "0000000000000000000000000000000000000000000001000000000000000000000000", "0244153250144163300556316254033043065544465634103465564605334053626622", "0000000000000000000000000000000000000000000000010000000000000000000000", "6144253601510020640656550546400632253330006345606314240135325212453612", "0000000000000000000000000000000000000000000000001000000000000000000000", "0020250463426524350550454051506262415511315100404026153254221034646224", "6263023224111515525204150310135110112065656540342355032611062566500556"]); y:=CambridgeMatrix(1,F,70,[ "0010000000000000000000000000000000000000000000000000000000000000000000", "4660000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "1060100000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000000000000001", "3433312304052516255546604320644314663142655546663303113603125610216462", "3362512134160000252400460355211434624150322655225110442130146604314312", "3256426323563631222106042625053351620202124213513633436641632040406146", "0006531451650612025456640150123624024341266143113236164242404033365362", "1643214201324645165511521402441465601633635042451511622524033325323033", "0000000000000000001000000000000000000000000000000000000000000000000000", "3655000125416034311630551106403162213435102501223336456134302424255615", "1365562205363025310103014641666621466123003560066254431336030623230156", "5035324522331605421341435414111401503065645225443224112316523442512426", "4216230655066014134302643464135265352035411461513543466452442006615342", "5313233313103546303105464303220655203366530200264242053005046424516616", "0000000000000000000010000000000000000000000000000000000000000000000000", "3302054265626643606124163611221312521436510305031354442404344115653420", "4562326626360625300121464530032463006261405053315156352455314666031060", "1651161001456004316116215251625332455034204010500606256126651633654524", "6333320531461461046662301034103016014466646133560466405523211632250411", "0000000000000000000000010000000000000000000000000000000000000000000000", "0452134220535225505551516563145315265011232140261655060623450200435412", "3454445063160263145524215053151163152330322161005160062342133110135445", "4422212221250154644352264530163246002031105566341153163153365656613641"]); G:=MatrixGroup<70,F|x,y>; print "Group G is 2.L3(4):2a < GL(70,GF(7))";