/* www-ATLAS of Group Representations. J1 represented as 76 x 76 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,76,[ "0100000000000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000000000", 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"1111101111001011110100100001001100010110101000011000011000011111010010011010", "0000000000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000000000010000000000000", "0011000110010011010111010011111101001011111100101110001010111100101110111101"]); y:=CambridgeMatrix(1,F,76,[ "0010000000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000000000", "1101000000000000000000000000000000000000000000000000000000000000000000000000", "1011000000000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000000000", "1001101000000000000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000", "1000010000000000000110000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000000000", 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"0000000000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000001000000000000000000000000000000000000", "0100000000011100000110000000000000000000000000000001000000000000000000001000", "0000000000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000000000", "0011000000100001000000000000000100000000000000000000000000000001001000000000", "0110010010000000000001000000000000000000000000000001010000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000000000", "1001111101101111111011100010010101001101001101000100101010010001100001011010", "0001111110011111000111101001001110110111111111010000001100011101100011001000", "0000000000000000000000000000000000000000000000000000000000000000000000000001", "1010101010110001000011000111111000100010011011010001111110100100001000010101", "1110100101011111100111000100100010110101001110111010001100001100000100011010", "0111001010000010100010000001010101011110101011011000000111000110111111000101", "1101010110011001111000011101001000110001100011011110011010100101001010000111", "0000000000000000000000000000000000000000000000000000000001000000000000000000"]); G:=MatrixGroup<76,F|x,y>; print "Group G is J1 < GL(76,GF(2))";