/* www-ATLAS of Group Representations. O7(3) represented as 63 x 63 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,63,[ "010000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "222020001001011100112102102002122000200002000020000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "110202200221020121112211121122102201100201002020000000000000000", "000101121100201002000000002210000020000002001000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "110001002100012101001101110110001000120100001000000000000000000", "000101112110102011010012000102100001202000000020000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000200210021120120120212121002200001200221000020000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000201222112222011211211010112101001100100201020000000000000000", "001111122100222100021220111002201002000101020020000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "222021011101101001121020010102201002000100000220000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "110100101001011201111120212111101002000102001012000000000000000", "112120112022112122200112121210000001200201001000200000000000000", "110001002102022101221210110122201001000100002020020000000000000", "111110120002220000211221001020101002100001002000002000000000000", "221011011111101211122002221122202000200201002020000200000000000", "111210202010012012022111002201202001100002000010000020000000000", "002021022112222011222210002101202001000002000010000002000000000", "002022002210012112001101112210001000100102001000000000200000000", "001112110211100112112012102202102001200002000020000000020000000", "220001000100000100012011121010102001100201001000000000002000000", "001110112002102200201002221002001000200201000020000000000200000", "111012022202202000212020020001102002000200000010000000000020000", "221212222222222221211210221110101001000201001000000000000002000", "220002012211122210122201202022202000100002002020000000000000200", "220001010100110202000101220222000000100200002020000000000000020", "001110100002010000202100012000002000000102000000000000000000002"]); y:=CambridgeMatrix(1,F,63,[ "001000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "022022002000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000", "200121021000000002000010000010000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000000000001", "100000000000000000000000000000000000000000000000000000000000000", "021220000221112011002011201222021102121200212222201002200002002", "012010212102210001222102120010220112110100012210011022200012011", "210022000220122122222001002121220201220021001101110110200101121", "100000001100020211202212021002002002012111121002111000110122212", "212022001122022121112011000212101020111002201122211012200212120", "210212220012020200001112202221020200222021112200000111101122022", "200020022221101010201111120101211102002122011010122111022020202", "000122000221101011000102020100001112002100201112210210200211210", "210101122211122221222101121010002111100011001200221100220220121", "011220110102122000022011102211102111002200010010200101012210100", "201121200102110111120020211010110101022220020201121111212202111", "110012120101020220112002221102200011220011202021101211002112210", "112212010212122200211101021121200221110101220100022011222202200", "022121212000202220210212120001211022020121201111120121102012001", "122202210211110122101222111211110221201220210221002222222100012", "122202202101002210112020201011102201012222210112102211010121111", "000212001101000211200221222121201102121121002211222111002200122"]); G:=MatrixGroup<63,F|x,y>; print "Group G is O7(3) < GL(63,GF(3))";