/* 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", "101000100000000000000000000000000000100000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "011110110110101001001011111001010010000101001101010001010011111000101101110011111101001000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000101011111010010000110001001000101010000100101011100111000100101110110011000001000011", "011000111000111101110111110100011100001111010010010110110000111001001010000101101011110110", "101000010110001011110111101111100111100110011010101110001111100111010000110100000000110011", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "111110100110100001010000110110110110101011000101111110011000100010110110111001111011010010", "011001011111110011111101010110101111010100101001010100010101101111001110010110100101100101", "000111000010100001000101010111110111010001000000000111010011000001101100100111000101001110", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "010001111000100110011001101011100011111110000000011111101010111100001100111110010001101101", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "010100001000000000000000000000000000000000000000100000000000000001000000000000000000000000", "010011111011110111000001110111001010011010000010011101001101101100010110001001100011110000", "011000001101101110000000010110111100010011110100101001100100011111011010111100101011010001", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "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", 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"111011001111101011101101111100011111111111001111111010010001110001011010101010111000100010", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000100101111011110001100100100100110010101100000100010001100111111100111101111011110101100", "011100001001001110010011011000111100100110001110010100101111011110010011110001110101011100", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "110100001010000001000111110010110100010101011001110101000110011010010110011110001110011010", "101000010001000111110111010101010001110101000011111110100011011101010010110000010000000000", "111000111000111111101010101111100001000110010100110101100011100110101101100101100100111011", "010110100111101111101100010111111100010110010000011010101010001100101110010010110101101001", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "111100000111001000011111110011001011000011101111011110000111001001011001100001000111010000", "100100110000000100000101100111001001011110010011011011111101011101111111100111101100100100", "111011010000001100111001000001101010101101110111010011110110101110010001110100101101011001", "000001001110101111101111000111101111001100101001111110100101100100001110100111010001011110", "001111011111101010110110110010011111011100110011100001111001110010001111011111010000010010", "000011100001100010110101101111011001111000010111011000110111110110110111101010100001001011", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000", "000001001010010110010111111011101011101100100101111110100111101100011110100111110011011010", "010010000111100101100100010100101001110001101000001000001111000000011010010101110000110100", "011110001110111101001100010100011001101110111010110001001001010111111101000110100100110000"]); G:=MatrixGroup<90,F|x,y>; print "Group G is G2(3) < GL(90,GF(2))";