/* www-ATLAS of Group Representations. A14 represented as 64 x 64 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "1100000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0010100000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0001001000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000010001000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000100001000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000010000010000000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000100000100000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000010000001000000000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000100000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000001000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000010000000001000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000100000000001000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000010000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000100000000000010000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000010000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000100000000000000100000000000000000000000", "1011011110101011101110000001001101110010000000110101110000001110", "0000000000000000000000000010000000000000001000000000000000000000", "1000101101110111001100100000011000111000000111010100101000010010", "0111110110000110010111100100000111100101010001001100000110000101", "0000000000000000000000000000100000000000000001000000000000000000", "0101111001101000100011101111010011111111101100011100100000101001", "0000000000000000000000000000010000000000000000010000000000000000", "1100001100000101100111000110000100111101001001111010001110011110", "1100111111001011110110011101100011000110000000011011011000011001", "0000000000000000000000000000000100000000000000000010000000000000", "1010101110010111101010100010000101001001111010100011110010011001", "1000100011100111000000000100000101000010010010101110000001001011", "0000000000000000000000000000000001000000000000000000010000000000", "0101001011001101011000000110100001010011100110000100000011011010", "0000000000000000000000000000000000100000000000000000000100000000", "0010010000101111101010101111000101011011111011011010110000001000", "0010000000100100100111100001010001000010010010000111001110000111", "0000000000000000000000000000000000001000000000000000000000100000", "1110011000101110111100000000100111010011000100110111101100110010", "1010110000011011101101101111111001110011110000100111001011110011", "0000000000000000000000000000000000000010000000000000000000000100", "1111000010010011100000010011010111100001100100001010110100011111", "0000000000000000000000000000000000000001000000000000000000000001"]); y:=CambridgeMatrix(1,F,64,[ "0010000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0111110010000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000010", "1111011010101111110100011011111100010110010011000111011110010010", "1010010000100001011011000111001110100100000101101100110101101000", "0011101001010110100101010010001001001010000010010000111000100011", "0110000111011001101011101100010011010100000110000000111000101000", "1101010011100101000100010010111110011010101101100011111010100000", "1100001010011010100010011000111101111001111001011000110110111000", "1111110111011011110010111111010111111001001111111000111110000011", "0101110100101110010111100100110010011100111011011011010111001010", "1001001001011100100000000110000110110011000110100001101010100010", "1000111100111011000001111001010110110001001010100110101001000101", "0110101110000111111000000100011101010111100010100000101110011110", "0101100011001010110010011000001100001101110101110101100111100010", "0110010100100000111110010000110110010101101110011000010010111111", "0011111010101010001010010010100100001001100010111101000000111011", "0001110001000010101001101101100111010011000110101001111010100100", "0000001011100011101100110001111001100100101010000111100111000110", "0111110111110010000001001000000000110000000010100110110010110000", "0100011100000101110101001000111110010000101001101101100110001010", "1100101100001001010111011000000000001000101100110000001000010010", "1001111111110001000000110111000111101111001101001000111110110110", "1100100011101110001011100010011001101100000011011011110100010111", "1000101000000110001110111000010000000111001111000010111111101101", "1110111010001111111101100111011001100110101110101000101000010000", "1111111110011101110101110001011001100010111100000001001010111001", "1110001001010101000011101100100110100110011111011001100111100111"]); G:=MatrixGroup<64,F|x,y>; print "Group G is A14 < GL(64,GF(2))";