$$U_{482}(x, y) = \frac{- x^{2} + x \sqrt{x^{2} + 2 y \sqrt{1 - 4 x} + y \left(4 x - 2\right)} - y \sqrt{1 - 4 x} + y \left(1 - 2 x\right)}{y^{2} \sqrt{1 - 4 x} + y^{2} \left(2 x - 1\right)}$$

$$T_{482}(n, m, k) = \frac{k {\binom{2 k + 2 m}{m}} {\binom{2 k + 2 m + 2 n}{n}}}{k + m + n}$$