/* www-ATLAS of Group Representations. A12 represented as 100 x 100 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,100,[ "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"1100010111010111100110101010100101001110011110000101101001000100110000100001001001001000000000100010", "1011000101010101010110011101011000101000110011100010101100000101110001101001001101101000101010100110", "0000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "1011010011010001011101001011101000101100000110001000100000111100000111010110101101101100010000001110", "1111100110110111001101111111110000101010000001110101000001001010011110011111101001001110110000011010", "1111100001101001101010011010010001110100011111010001110110001110011011110011111101001110101000101110", "0000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "0111011111011111001000110011101001111001100010101111000111111000010110110011111001100100101010111110", "1111010001001000001110101010111100000000000010011010010111001100011111010010111001101110101010111110", "0101000001001010000000101011100100011100011100011110110111110000001011011101011000101010010010110100", "0000110000011101110001010111100111000101011110111100111100100010111011100100010101100010001000100110", "1111101101111010101000101111101110011111110100101010110111101000110100111110110001000100100010101010", "0110111110101000011101101010111001100110001001111111101111001000000111010000110100001110101010011000", "1101101110000011100010110000100101100100001010100101010111000100100000100100011100100000010000100100", "1010101100001100011001010000000011110000100111001000001100010110011011101100110101000000001000110010", "0000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "0011100011110100110100010001101000000111101001111111010100000010000011001100010100000010100010000100", "1101000100111001000000011110100110110010000101011101011100011100000100011111110100001110110000101000", 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"1000110101010011011001110011100010010011110010010101011011100100111001101101011101001010100000010110", "0000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "1101100101001101000110001010101010111010111100110001100000100100001001001100000100001010001100010000", "1000001001111011011010110010111100101000010110101110011110001000101111110011110000101100101000001100", "0011000110111001101100100101110000010001001110110101100011111000011101110011100001000110100001101010", "0110010110110010111101111101010000001001101011000011011111111110101100011011101000100100101010101100", "0100001100001100110010011011111100100010100100000000010011110000000010000000000100000000111000110000", "1100110011000111111011011111101000111100000100111111111000001110101110111011101100001110010010110000", "0000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "1110010010110110000001010110001111000101010100111111011001101000100100111011100000100110110010101010", "0100100011110011100111010100110000010111111111001000111100110000011011001100001001100000100000100011"]); y:=CambridgeMatrix(1,F,100,[ "0010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"0110101001000100000101001101010101111001011101001101010001000000101111110011000101001000101001010101", "0100000100101110110110110110011010110100011111100110011101101111000100110011100001001010011010011100", "0111110010101000101000010100110101010000101111001101100001010101010100101010100001111010100000001110", "0000101111000001000110111111110011100111111110011111100000101010001110010011100000000000010010111010", "0100101011011100001001110010001111001010111000001110010001101010000110001110111001111000001101000001", "1100101010111001010101001011100011101101010110001011101111101110001001110111110001000100100010011100", "0101100011001000000010010011110001011001111000101110100110010101011000011010110100010000000101101110", "0110111001010101101000001010001100111100011010100011000010111000010111011111111001100100101010111110", "0100000000101111011111010001100011000001010011010101000101111010001011011101011001111010100101010101", 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"0010100111101000000100010111001011010100011110110011111011010010011001001101001010101100010010010010", "0110100111011101000000010001101110000101001100001100001100000001011101110110001010001101110010101100", "1000010100101110100010001110010000011100100011011100101011111101001010000001100000111110110011001101", "1110101100011001000111011110000111101010010111100000010101010110001010101100001000110110001000000100", "1100110010001100110001010100001110111110000110010100010100010110100101010011000000010101101000000100", "1100100000110101010101000000111000000011101011010110100101000100000010101001000001000000001100100100", "0111100000111101011011110000001100011101000010000001110011001000100001000100010001010001000101010101", "1110100101101110010111000111001000001001101010111111100001001000001101011110110100001001111100001110", "1111010110111111010000001001100110110100000010101101111110011010101001100111110100010101001110101001", "0111111100001011110000001001110101001011011111011111001011111100110111010111100000101110111100011100", "0011000010000111010001111000000100001011000011100000011100010010111101011011100101101000010100000111", "1011110001001111011000101001010100011000010001110011011000000110101001101100010000101010100000100110", "0001001001111001101010001001010101111001110010001011000110001000011000101001001101010000010010001111", "0100000101111111100001100011100101111101011000111111000110001010101100010011110101001110000101001110", "1101001101100000010010111011001110000001100110110000000011111000000010010111110001010011011011100010", "0110000001011111100001001011101010100111010100010101111001011100100100010100000100100110000110010000", "1000000111100001100010100110000010111011100111101010001011101000001111010110100000101100101010110100", "0100100000101101110011101011011001010111110010111010111101110000010101011101111011111100100111000011", "1101101111110101010110000011111111100111011111000001101100011110111111110010100000000100010110001010", "0111011011111010101011010000001110010101111000011010110001100101011111011100111100110000001111111110", "1010101001010001101100001000011100001011111111001011110001101001110010011010101111001001111100001100"]); G:=MatrixGroup<100,F|x,y>; print "Group G is A12 < GL(100,GF(2))";