/* www-ATLAS of Group Representations. L3(7).2 represented as 57 x 57 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,57,[ "010000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000", "000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000", "000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000", "000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000010000000000000000", "000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000", "000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000001000000000", "000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000", "000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000100", "000000000000000000000000001000000000000000000000000000000", "112111000220202210111221202000020110011111021110012221022", "000000000000000000000000000100000000000000000000000000000", "210210001201112220002001000002200111201121021120110121120", "222211101221211120221022221211202222202120020121011222212", "000000000000000000000000000001000000000000000000000000000", "200000110001112101121111001121110201002122111012211211002", "000000000000000000000000000000010000000000000000000000000", "101001011000110120222020021021121122100110202111010210111", "000000000000000000000000000000001000000000000000000000000", "211000001112000112110012120100121122221111111110001011212", "222122020120100001002012022221111011222121002122110102200", "000000000000000000000000000000000010000000000000000000000", "020200001112112022100221202222200202221111211220000000022", "201120020002020012112012100200112202200200222112112212212", "000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000010000000000000000000", "101221010121002211211122221011112100022020010111020210222", "001222210100211020002221021011221210222121211202022110102"]); y:=CambridgeMatrix(1,F,57,[ "001000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000", "100210012000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000", "122022011000000000000000000000000000000000000000000000000", "020022002000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000001000000000000000000000000", "000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000100000000000000", "000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000010000", "000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000001", "000000000000100000000000000000000000000000000000000000000", "221002212210101221120111110201022210012020100122012022120", "012112110220111100022202202010202200122200000200022100000", "001211110011210011122121000001111000212002101012010202022", "221201121101110111100120001121001000212120012021220212122", "121002002212120210120101002100210111100100101212121210100", "102001100022012202102011100020211011222220122111002222101", "000000000000001000000000000000000000000000000000000000000", "102221201000120022100200000121111211220112110111221000200", "212112001112101020112122102112201200022201000200222100000", "002120002111200220121200122201002010101222120010112202121", "202021100011212010100010011220011222002122220112101212100", "011201222100201201112211200112202220122001000200022000000", "020102012210021221222220000102012010211012010112220201211", "121002112100121102222012100121121210221100100000220110100", "101101212112001222021002120201022120111002101121102001102", "202200222110122100101220210201220201222022021020102211110", "200222122212001221210021212210222022211121020012102122101"]); G:=MatrixGroup<57,F|x,y>; print "Group G is L3(7).2 < GL(57,GF(3))";