/* www-ATLAS of Group Representations. L6(2) represented as 61 x 61 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,61,[ "0100000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000", "1625522550221006506600110000100000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000", "2561403304241130542660001130500000006000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000", "1600304100061305032640022041500000005000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000", "3425106605014024050303030020010040000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000001000000000000000000", "0000000000000000000001000000000000000000000000000000000000000", "3400512060105306632240011040500001006000000000000000000000000", "2525205000000004000003036000000040101000000000000000000000000", "5261562111364060413300002060406000015000010000000000000000000", "0000000000000000000000001000000000000000000000000000000000000", "1600601401633361121442063050605050004100020000000000000000000", "0061205503021344032641032040500060005010000000000000000000000", "2500136040300205426050026050106000001001010000000000000000000", "3400453526320514440025034030006520003000112000000000000000000", "0000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000", "0043215364141330602646001000500010006000000100000000000000000", "1600324551623266132450011040506000006000010010000000000000000", "4316255020504301210342064060005050003000020001000000000000000", "6100542431335161402262064000505050003000020000100000000000000", "3425106500620303151040043020605000004000020000010000000000000", "1652225156464311305342064000206050003000010000001000000000000", "6125314065405024304202035000302150002000056000000100000000000", "3400020651112660606513001000106340006000014000000010000000000", "5225354225552323230540044040005000003000020000000001000000000", "1652364111666362100142051000004250006000035000000000100000000", "4334403405035624044211034030300060003000000000000000010000000", "0034631444333134451463035020605040002000020000000000001000000", "0043463311643160151462002020604250005000035000000000000100000", "2516651225452124364560033010300000004000000000000000000010000", "5234205501624163152362045020504250002000035000000000000001000", "4361631341546261234154066040300030001000000000000000000000100", "6125334341241364513645033060405420004000023000000000000000010", "0043651625516120250160005020006300002000014000000000000000001"]); y:=CambridgeMatrix(1,F,61,[ "2600000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000", "0350600300005000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000", "2301004000020000000400000000000000006000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000", "1401400600026402045130035036200000002000000000000000000000000", "6653603102063013020404040030060030000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000001000000000000", "0001000000000000000000000000000000000000000000000000000000000", "3503263010632401145530036030200006001000000000000000000000000", "4455501000000023000004041040000030606000000000000000000000000", "6212501204056443045136045030200060002060000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000010000000000", "5652320030203002304100366006002001050605000021100000000000000", "0000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000100000000", "4323361421626060111504001064151300032503200000002000000000000", "2142332400336205025350162053104004041003000030000000000000000", "4645604402035045050202020050050050000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000100000", "0000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000001000", "4532622001666060310502005062313500564205100004041003000000000", "0000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000001", "3420142440055620645150115622000162625145266134030662466266666", "0000000000000000000000000000000000000000010000000000000000000"]); G:=MatrixGroup<61,F|x,y>; print "Group G is L6(2) < GL(61,GF(7))";