/* 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", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "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", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000", "100100001101011100101111110100101110100111110111101001010011000010010010111000011101110011", "011001101100000110101011001001011010110010110100000010000101010011100000011001101001101100", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "100010001101111100110001101011010010001101001000010011101100000100100101111000010111011101", "101011001100110011010100100001101011001111101101000011111101110100110100010011011000010011", "111100000011111101010100111110110100010010111111000100111111000100000001010100001010001110", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "100000010001101010111001010000100111001000101010101010001100001011010000101010000110100010", "100111110001011110100101011100111111100011010110111110100101100101011101101000000111010100", "110101010100100110011100011011000110101010111111100011011101111011000100000010001100101000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "011101001100010010001100011001111010101011011011110100000100111100110001001000010001011101", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "001000011111101001100011110110000010001010111000110010001110101000010001100001110000000111", "000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "111010111100100110101001101001011010101001110100100000011011000111000000000001000001101100", "100110000101001111101001100101010101000000101111110011001101111010100001011001101001100110", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "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", 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"000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "101111110100011101101011101001111101011010100101111110011000110011010101001100000001010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "101010011110001101000110001001011001010010101010111001111101111111110101011100111010000110", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "010100010011111110001111101110101110000111011110011100110100111101101111101101000000011001", "111000101001111111101001111000011011011011100100101011011011100101111100111100110001000100", "000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000100101100100101011100000110001101100001011000000111000010000111010010100100000000110", "111111011001111111110111000000110111001100011111101111110011110001011000111111101010010010", "111110101001011111001101101000011110101010110100101010110001110101010111011100000000001111", "101110010010010010100010110100101101001011101001111001010110100001110111111010110011000100", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000101011101100000111010011011010100011000010000001010101101101000010100110111110001010000", "010000101100111011100000111000111010111110101101101010101111010011111011110001111011001001", "101001100010110101100111010111000010110010110100101011101010100001011010110111011110010010", "111011100111100110000100110111111010001000011111010011001010000101010101100111111001010000", "000000011011001111001101011000111110101101110000001000011010010111100111011010111001001001", "000001000111010101111000001110011111010100100110010000110110000111100010011000100000110100", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000010010011111011110100000110110100111110100100001001110100111011100010111011111000011100", "000110011111100110011110111101100100111110100011011111100101000110010110010000011001000100", "111011101110101100100001011001100001111101010101110110000100100011001110110011110011010000", "000111100111111110110111110011110101111111111010001100000101111110001100110011000001000011"]); G:=MatrixGroup<90,F|x,y>; print "Group G is G2(3) < GL(90,GF(2))";