/* www-ATLAS of Group Representations. J2:2 represented as 63 x 63 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,63,[ "010000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "102010202220110010212100002222022011101001211121021221111022011", "102002120202002121020210021200220100001022111210210001220102011", "000000000000000000000000000000100000000000000000000000000000000", "120100220011102121211122212022022111211221010001010200210020102", "102012220202011120022022102011221222020002120101101021021002010", "000000000000000000000000000000001000000000000000000000000000000", "111202022120201022111102222210102220010202112220101002110221121", "000000000000000000000000000000000100000000000000000000000000000", "120220000001221021100221222022012010211022221012212220012100002", "012222100022112020211222202010121022012101212102102012022202110", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "210021222111111022202221201022021110111222221012222110020100002", "022212222020101121210112220112222112012100120222002012212111021", "000000000000000000000000000000000000001000000000000000000000000", "001011202101111020221201210020200000210110221022202210012111101", "000000000000000000000000000000000000000010000000000000000000000", "122121022011112122201101211111211201212001012001121220211200111", "000000000000000000000000000000000000000001000000000000000000000"]); y:=CambridgeMatrix(1,F,63,[ "001000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "222200000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "020101000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000001000000000", "000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000001000", "110011101111220121120000120112200111100210021021202012221001000", "000000000000000000000000000000000000000000000000000000000000010", "211222100020002102020010101020221210021112120212202202012211100", "201120021002222002202221001210120212022111210011222200220011210", "211022010011111111210121120020110101211111220011010010110111200", "200122200121021111122120122122000000112002120201200212202210121", "100221010221122111111000221020212221202220111202220110012221011", "100110222001022012010220022120121121020200001222020202022200112", "000000001000000000000000000000000000000000000000000000000000000", "002202210022022002001221200011001100202002212220021120020010211", "122211211121222212212001212212221021111211022001001112011010110", "201022220122202102020020212022220121010111002101000222012212012", "200102110111211122100210000101101011122212012012021210120210111", "100111111122201021001221122200001102020002202002211001211001122", "211010010100021111202020112100002122002102212022210001222012112", "110001121101020202210221002222220010221021121010000021000001010", "122002201221010111110022020202121120111111212211020022022111220", "121101111101201210010212001120122211010011212222022212121111021", "001021100021211122222201022111021101201100211020122222120102112", "000110011202202111211000112102202110120201201222200011200212100", "000000000010000000000000000000000000000000000000000000000000000", "200020011102200121001211011120102210101002200200202110020022122", "212000010102121201120200010112110102010000111102002022211211102", "201002212220102022001201011011122002102110112120020100012121010"]); G:=MatrixGroup<63,F|x,y>; print "Group G is J2:2 < GL(63,GF(3))";