/* www-ATLAS of Group Representations. A10 represented as 34 x 34 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,34,[ "0100000000000000000000000000000000", "0001000000000000000000000000000000", "0000010000000000000000000000000000", "1000000000000000000000000000000000", "0000000010000000000000000000000000", "0000000001000000000000000000000000", "0000000000010000000000000000000000", "0000000000000100000000000000000000", "0000000000000001000000000000000000", "0010000000000000000000000000000000", "1122020020000002110000000000000000", "1212221102100200220000000000000000", "2212101201000100020100000000000000", "1121120212000201000000000000000000", "2200002120000111110000000000000000", "0000100000000000000000000000000000", "1021110000010102020000000000000000", "1102102100000102120000000000000000", "0000000000000000000000001000000000", "0000000000000000000000000100000000", "0020000012021001010010000200000000", "1200200220000102000001000000000000", "1022222212010100000000100000000000", "2212101201002100020100010000000000", "1012200200111112120021020110000000", "1121220101201001010000000000000000", "0021022010012120021012010200000000", "2010200221022200210100000001000000", "2220012202120202110200000100100000", "2122020111022000210200000200010000", "0221121020020110111121021110001000", "2002111221022001100200000200000100", "1200012022001220201012010020000010", "1012020121111212122021020110000001"]); y:=CambridgeMatrix(1,F,34,[ "0010000000000000000000000000000000", "0000100000000000000000000000000000", "0000001000000000000000000000000000", "0000000100000000000000000000000000", "0220200000000000000000000000000000", "0000000000100000000000000000000000", "0000000000001000000000000000000000", "0000000000000010000000000000000000", "0000000000000000100000000000000000", "0000000000000000010000000000000000", "0000000000000000001000000000000000", "0000000000000000000100000000000000", "0000000000000000000010000000000000", "0000000000000000000001000000000000", "0000000000000000000000100000000000", "1011010200100112020002000000000000", "0000000000000000000000010000000000", "1121222001001011010000020000000000", "1202022111000021220000110000000000", "1101011110010022110011021200000000", "0000000000000000000000000010000000", "2111101100011221010020120100000000", "0000000000000000000000000001000000", "1211010010000022220011100000000000", "0000000000000000000000000000100000", "2201022210202201100202010010000000", "1111202212020122120012020200000000", "0000000000000000000000000000010000", "0000000000000000000000000000001000", "2112111020002101020022010010000000", "0000000000000000000000000000000100", "0000000000000000000000000000000010", "0000000000000000000000000000000001", "0101100022020122220011020012212002"]); G:=MatrixGroup<34,F|x,y>; print "Group G is A10 < GL(34,GF(3))";