$$U_{772}(x, y) = \frac{3 \sqrt{3} y^{\frac{3}{2}} \left(- \frac{8 x \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y} - \sqrt{- \frac{16 x \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y} + 1} + 1\right)}{16 x^{2} \sin^{3}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}$$

$$T_{772}(n, m, k) = \frac{k \left(k + 2 n\right) {\binom{2 k + 2 n}{n}} {\binom{k + 3 m + 2 n - 1}{m}}}{\left(k + n\right) \left(k + 2 m + 2 n\right)}$$