\begin{cases} P(x, y) = x - \dfrac{12912}{18515} x^5 y^9 - \...

Prompt

\begin{cases} P(x, y) = x - \dfrac{12912}{18515} x^5 y^9 - \dfrac{35}{24} x^{12} y^7 + x^{16} y^{16} & (\deg P = 32) \[14pt] Q(x, y) = y + \dfrac{6456}{18515} x^4 y^{10} + \dfrac{35}{16} x^{11} y^8 + \dfrac{35}{8} x^{26} y^{24} + \dfrac{7}{2} x^{41} y^{40} \[8pt] \qquad\quad - \dfrac{245}{48} x^{52} y^{47} + y^{38} M_{38}(x) + y^{29} N_{29}(x) + x^{56} y^{56} & (\deg Q = 112) \end{cases}