$$U_{617}(x, y) = \frac{\sqrt{4 x + \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right)^{2}}}{2} - \frac{2 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3} + \frac{1}{2}$$

$$T_{617}(n, m, k) = \begin{cases}1&\text{if n=0 , m=0} ,\ \\\frac{\left(-1\right)^{m - 1} k \left(k - 2 n\right) {\binom{k - n - 1}{n - 1}} {\binom{- k + 3 m + 2 n - 1}{m - 1}}}{m n}&\text{if n > 0,m > 0} ,\ \\\frac{\left(-1\right)^{m - 1} \left(k - 2 n\right) {\binom{- k + 3 m + 2 n - 1}{m - 1}}}{m}&\text{if n = 0, m > 0 } ,\ \\\frac{k {\binom{k - n - 1}{n - 1}}}{n}&\text{if m = 0, n > 0} \end{cases} $$