/* www-ATLAS of Group Representations. J2 represented as 84 x 84 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,84,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "100100001000000000000100000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000", 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"000000000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "110010001001111011111001010101100110111001011000101101010100010100010100101011110000", "101010111110001010110011101000011101001010101000011110010010010111111010101011000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "000011111101010101100100001011001110100001000000011000000011101000000000101010000000", "111101011000010001100010010111011000110100110011001011011110100110110011110011011000", "000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "011011110000110001011001010100001011111100001011111111001101010000001101000100111000", "000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "101100001111011001011001000001101101010100110011111001011110000010110111011100111100", "000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010"]); y:=CambridgeMatrix(1,F,84,[ "100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "111000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "100100001000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000100100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "100100001101110001001001110100010111111110000100010110001001110101011000010101110000", "101000011010001011011000100101000101110000011011110101110101110111001010010101110000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "100001111111000000100110001110001110001111101101111111001110101111000111100000000000", "100000101110010001100010101111010000100111111010001100000101111100010111001010010000", "100011000010000010100110110111001011000101111001000011111001101110100000010110101000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000010110001110100101101111000011010010110111110101101101011001110001000100001011100", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "100110111001101101001010110111011010110010000011001111101110111000111000111101100010", "001000100000011001110101001100100101110010111101100110111110111101100001110110000100", "011010101011001010111010001010111001001010101001001000000100101000011110010111100010", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "011110101111011100110001000111010101101111010110000111100010011110010101001010111001", "001110010110010110100001111010001011111101101110000000100011110101000111011011000000"]); G:=MatrixGroup<84,F|x,y>; print "Group G is J2 < GL(84,GF(2))";