$$U_{1275}(x, y) = \frac{2 y^{3} \left(1 - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + 1}\right)^{2}}{x^{2} \left(1 - \sqrt{1 - 4 y}\right)^{3}}$$

$$T_{1275}(n, m, k) = \frac{6 k \left(k + n\right) {\binom{2 k + 2 n - 1}{n}} {\binom{3 k + 2 m + 3 n - 1}{m}}}{\left(2 k + n\right) \left(3 k + m + 3 n\right)}$$