$$U_{1196}(x, y) = \frac{64 y^{8} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{2 y^{2}} - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{y^{2}} + 1} + 1\right)^{2}}{x^{4} \left(1 - \sqrt{1 - 4 y}\right)^{8}}$$

$$T_{1196}(n, m, k) = \frac{4 k n {\binom{4 k + 2 n}{n}} {\binom{2 m + 2 n - 1}{m}}}{\left(2 k + n\right) \left(m + 2 n\right)}$$