/* www-ATLAS of Group Representations. 2.A14 represented as 64 x 64 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,64,[ "0001000000000000000000000000000000000000000000000000000000000000", "2210000000000000000000000000000000000000000000000000000000000000", "0201000000000000000000000000000000000000000000000000000000000000", "2002000000000000000000000000000000000000000000000000000000000000", "0000220020000000000000000000000000000000000000000000000000000000", "0000101010000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000200200020000000000000000000000000000000000000000000000000", "0000002020000000000000000000000000000000000000000000000000000000", "0000000002002002000000000000000000000000000000000000000000000000", "0000000100010010000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000001000101000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000020020000000000000000000000000000000000000000000000000", "0000000000000202000000000000000000000000000000000000000000000000", "0000000000000000002000000000000000000000000000000000000000000000", "0000000000000000021100000000000000000000000000000000000000000000", "0000000000000000102000000000000000000000000000000000000000000000", "0000000000000000221000000000000000000000000000000000000000000000", "0000000000000000000020202000000000000000000000000000000000000000", "0000000000000000000002100000000000000000000000000000000000000000", "0000000000000000000002000000000000000000000000000000000000000000", "0000000000000000000000020002002000000000000000000000000000000000", "0000000000000000000011000000000000000000000000000000000000000000", "0000000000000000000000000200020200000000000000000000000000000000", "0000000000000000000000000021000000000000000000000000000000000000", "0000000000000000000000000020000000000000000000000000000000000000", "0000000000000000000000000000210000000000000000000000000000000000", "0000000000000000000000000000200000000000000000000000000000000000", "0000000000000000000000010010000000000000000000000000000000000000", "0000000000000000000000000100100000000000000000000000000000000000", "0000000000000000000000000000000022000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000220000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000002020000000000000000000000000", "0000000000000000000000000000000000000200200000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000002000200000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000020002000000000000000000", "0000000000000000000000000000000000000000002000200000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000020020000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000002200000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000022000000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000202000000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000020020000000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000200020000", "0000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000000000000000000000000000000000002000200", "0000000000000000000000000000000000000000000000000000000000200020", "0000000000000000000000000000000000000000000000000000000000002002"]); y:=CambridgeMatrix(1,F,64,[ "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000000001", "0011020020202112001202002000000000000000000000001210022010111122", "2002200000011211020021100000000000000000000000001021212121212111", "2202011210010020010002022001002000000000000000001101122210020100", "0001020002002221000001001210011200000000000000000121210000201220", "0201220121112020112102020122021100000000000000000000000000021221", "0221110212012221000101200212011200000000000000000000000001221120", "0222101200002221022010220211001200000000000000000000000102011012", "0210022220100122202122110020201200000000000000001001200221011012", "1111012110020100020201011002010000000000000000000000000100021211", "0201220120210201112102020000101100000000000000001100112020022221", "1111102201202111102002101121022100000000000000001011200110112202", "0102222012211001010120100110001200000000000000000102112201011012", "0020220222001212221002210221010200000000000000001102102001201101", "0222101001122220022010200200100200000000000000002002101122011212", "2110102221222012002111221001020000000000000000002102222011120211", "1222211110210201001221111112201000000000000000001210022012010200", "1100002020010111221002110122020121111102222020110222222121111111", "0001020000000202002202001210011211120220101111220222010010202022", "0000000000210010022012021002002001202110220200000211121021000100", "0000000000022222010022010001010020122120110010210022121022002202", "0002022020111010011122110212000200000001011000010000000202220220", "2202011010212212122102212002010000000001000011210000000200022002", "2202012020220222122120100211011200000000022122010000000001101111", "1120201102211101100110220100101011202121012221012111012001100220", "1100002020110212222020102212011200000002012100010000000102110210", "0200212111202212120221120210202001002211111010020200111212210110", "2020000100022201002212121222101011012220011100122102022100122101", "0220212102102002121022120120200120102111112221010121001202111202", "2111022020121102002110222111202001102010002001210222101002221002", "2112021002220220021011200100000222100110002122010122020221102111", "2210201202120201112000220221210212100121220021101011022201001220", "0020100010200121221011100102020121111102200002000222222020221201"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 2.A14 < GL(64,GF(3))";