Gr2(R^(12,4))

The AutoKron can't determine the cohomology of $\text{Gr}_2(\mathbb{R}^{12,4})$.

There are 96 possibilities.
Here are their Poincaré polynomials: $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + 3 x^{10} y^{5} + 2 x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + x^{10} y^{6} + 4 x^{10} y^{5} + x^{10} y^{4} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{10} y^{6} + x^{11} y^{4} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + x^{10} y^{6} + 5 x^{10} y^{5} + 3 x^{9} y^{5} + 2 x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 2 x^{11} y^{6} + 2 x^{11} y^{5} + x^{11} y^{4} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 2 x^{11} y^{6} + 3 x^{11} y^{5} + 4 x^{10} y^{5} + 2 x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + x^{11} y^{6} + 3 x^{11} y^{5} + x^{11} y^{4} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + x^{11} y^{6} + 4 x^{11} y^{5} + 5 x^{10} y^{5} + x^{10} y^{4} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 4 x^{12} y^{6} + x^{12} y^{5} + 4 x^{11} y^{5} + x^{11} y^{4} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + x^{13} y^{7} + 2 x^{13} y^{6} + x^{13} y^{5} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + x^{13} y^{7} + 3 x^{13} y^{6} + 2 x^{12} y^{6} + 3 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + 2 x^{14} y^{7} + 2 x^{14} y^{6} + 3 x^{13} y^{6} + x^{13} y^{5} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + x^{16} y^{8} + 2 x^{16} y^{7} + 2 x^{15} y^{7} + x^{15} y^{6} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ $$x^{20} y^{8} + x^{19} y^{8} + 2 x^{18} y^{8} + x^{17} y^{8} + x^{17} y^{7} + 3 x^{16} y^{7} + 3 x^{15} y^{7} + x^{14} y^{7} + 3 x^{14} y^{6} + 4 x^{13} y^{6} + 3 x^{12} y^{6} + 2 x^{12} y^{5} + 5 x^{11} y^{5} + 6 x^{10} y^{5} + 4 x^{9} y^{5} + x^{9} y^{4} + x^{8} y^{5} + 4 x^{8} y^{4} + 4 x^{7} y^{4} + 2 x^{6} y^{4} + 2 x^{6} y^{3} + 3 x^{5} y^{3} + x^{4} y^{3} + 2 x^{4} y^{2} + 2 x^{3} y^{2} + x^{2} y^{2} + x^{2} y + x y + 1$$ Here are the corresponding generator grids to these 96 possibilities: