/* www-ATLAS of Group Representations. L6(2) represented as 90 x 90 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "000001010000000000010000010001000000000001000000010010010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "110101111100111100001111100010111111100100011010010100010000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000001010100100000000000010000001000101000000000010010010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000", "001111101100011001011110011111110110111010010110000100110100000000001000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "110000010010100111011000110111011100011100010000111101001100100100000000010010011000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000", "001111110011010110110100101001000000011110100000110010010110100010000000010000000000000000", "111111100100000000001010011000010110011010100000000100000101000010000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "110000000100110001011101010101110101010000100010111110010100001110000000010010010000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "111010010001100101100000101100001000010010100000110000000100000011000000010000000000000000", "001110110010100010010010000001100110100100000010100100010000100000100000010000000000000000", "110000011010101011011010001111011010000010010001110001000000000100010001010000011000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000100100110110011001111010100010111010100000100111111010100110100001100010011011000000000", "111010000000000000010011000001101011010000100110110001000100000010001010010000001000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "111111101100001111100001000111000101010000100000011001100111110101010110111101001101111011", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "001010011000101000000011011000101111011010100110111100000100000010001000011010000000000000", "001011000111010111111100100111111100010000110010010100000100000110000000000100010000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "000100101000011101011111110111110011101000010110100001010000000000001000010000101000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "110101101110001010010011000001101011110100000110111001010100100100001000010010011100000000", "110101100100000001011000001111011000010110110100010001000100100010001000000000001010000000", "111010010011110110101111110000111111001100100010011100000000100110000000000010010001000000", "111111101011101011101010010110010110010000010100011110010100000100001000000010010000100000", "000100100001000101110000111111001000001010110000010001000000010010000000000001001000010000", "111011011110101010011011010001011111011100000101111101000100100100001001010010011000001000", "011001011001000010000000111100100001000101110011111110101111001011100000011001001111111100", "111000110111000110111110000110100000011111100010010111000000110111011000001111001111001001", "111101010100110101001010001011100100000101000110101001010100110101010000011101001111001010"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "010011001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "110101000010010000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "101100010010000001000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "111010010001100101100000101100001000010010100000110000000100000011000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "001000111000011100111101110010110011100100100010101110101100110110000000010010110010000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "010111010011111001101010111110100110101111110011011010001001001000001101001110110111010000", "001010110111110100101011110100111101001100100010011100000000100110000000000011010001000000", "011100111101101001101100011111011001010000000111000111101000011000111000010010001110110000", "000000000000000010000000000100000000000000000010000000000000100000000000000000010000000000", "110000101101100010000100100110010011100000100101001010000001100110001001011010111011110000", "001010110101111010110100111110010111101010101010011111000011001010101011100111110011100000", "111110010101100111101010011101100011111110011100111011000011111001100010000110010010101000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "001101111111110010110101001001000101011000010110110011001000111100111010001110000000111110", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "011000111110100000101001100011111010011110101010000100100001111100100110001010100010000000", "000100100001000101110000111111001000001010110000010001000000010010000000000001001000010000", "111011011110101010011011010001011111011100000101111101000100100100001001010010011000001000", "010001011001110000011011011000101001100000100011011110111110100111000010010001100110101000", "010110000110011111100100101001000000101010101100100000010101101110011010100110101010101101", "101000100010111000000010111000111110100111100011011000011001001100001101001110100111010000", "001111001101101011101101000110010001100101110001010010000000110010000100000001000001000000", "110010110110110001100010100011000001001000101101010101001001100100101010000000010010001000", "111111000101100010110010000010000111001101101111100010001111001111010110000000101111010000", "000111110001011000011001001111110111100100100011101010111100100101000011010010110010000000", "101110110110111000100111111110111101111110010101100110101100010110111000100110010010110111", "000100101001110101011011110111001100100110001011011111100100000011101001000101100000111000", "110111110001010011010010000100101010100000010110001010110000000110110100010111010100110100", "100001001110010001101000000001111110001000110000010001101010001001010100100000100000111110", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "110101001110111100011001100011111001110101010110100011000100100000001101010000001001000000", "010011000101001101110000111100001000010011100000110010010100000010000000010000000000000000"]); G:=MatrixGroup<90,F|x,y>; print "Group G is L6(2) < GL(90,GF(2))";