$$U_{1070}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right)^{3} \left(1 - \sqrt{1 - 4 y}\right)^{3}}{64 x^{3} y^{3}}$$

$$T_{1070}(n, m, k) = \frac{9 k^{2} {\binom{3 k + 2 m - 1}{m}} {\binom{3 k + 2 n - 1}{n}}}{\left(3 k + m\right) \left(3 k + n\right)}$$