/* www-ATLAS of Group Representations. G2(3) represented as 90 x 90 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000111100000000100001000101010101001011111000001011011000010011100100000000000100100000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "110001110010101110011110010010011101010111111011010101111001000000101001111010000100000001", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "111100111110010001100011100100101001000100000101001100000101011000111010010010000100000011", "111111000001001000100001000000000000000000000010000000000000100000000000001000000000000000", "110011101101100100111001101010000001100100001100010111000010001001101101101100001100110001", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "001000001100111010010100110101111100111100011011100010001110111000111001000100011011001100", "000000111010111000100001010110101010000010011101111100101110000001000011001010011100110010", "110101101000100010000010000110101101100001101100110010110010111000001001111100110111001111", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "110011001001000101101111101001010111101010110111111111001011011110010110000100110111110011", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "111011110010101110001000101111001010001011100000010001110000010000111111100111111011011101", "000111001000010100100001110000100110101011000010001011010110011111101110101101010001001000", "000111111111100011011010000010000111111100101000000100110010011101110010001010100001110100", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000"]); y:=CambridgeMatrix(1,F,90,[ "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "011000011100000000100001000101010101101011111000001011011000010011100100000000000100100000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "111010100101010001101111011100110001111011011111001010010110001000000110001011101001010110", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "001000100111011101010110100001100101011100000101000110000000001101101010110100000010010001", "010110101010001110000100001010110010001000011010010101000100110110010100101001010110111010", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "010011000111101000111010111100011111100011000001000000101111111011100011001011100111110000", "100001001111010110100000100111101100111010010011110000010110110101000111110000111010001111", "100101101101111111100001010011010011000000110011001111101001111001111101100110001011000010", "010001000110111011010010010000100001011000011100011001010010010101100110010100101011010110", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "110010001100111111100011101110101011100100100001100010001001010111000100011101000101111111", "100000000000101010101111111100110000110110101011000110001111111000101000111010100000010000", "001000000010110011101010100101100111100001010010000101000101100110000110010011110011110001", "000011101010001011111011011101001000110001100110011101101000111001011110001010001000001100", "101111110111110100011010010001001101101001001000110011111100101111001001010100011110101111", "011010111000000000101111011110010001010001010000100000101101111101100111010100011110011111", "000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "101110010010011101011001100101100100101010110110111101010111101110011110101110111010100110", "000111101000111011011111010100011111101000100000110110101000000101100111100110010101000110", "110100101110101001001101000000110010110101001100000000110101100111110100101000110001001111", "001001000011100101101111101001110111001100101010100111111010111110000111010011100110100001"]); G:=MatrixGroup<90,F|x,y>; print "Group G is G2(3) < GL(90,GF(2))";