$\left\{\left ( \left\{\frac{v_{\alpha x} y_{\alpha}^{2} - 2 v_{\alpha x} y_{\alpha} y_{\beta} + v_{\alpha x} y_{\beta}^{2} + v_{\alpha x} z_{\alpha}^{2} - 2 v_{\alpha x} z_{\alpha} z_{\beta} + v_{\alpha x} z_{\beta}^{2} - v_{\alpha y} x_{\alpha} y_{\alpha} + v_{\alpha y} x_{\alpha} y_{\beta} + v_{\alpha y} x_{\beta} y_{\alpha} - v_{\alpha y} x_{\beta} y_{\beta} - v_{\alpha z} x_{\alpha} z_{\alpha} + v_{\alpha z} x_{\alpha} z_{\beta} + v_{\alpha z} x_{\beta} z_{\alpha} - v_{\alpha z} x_{\beta} z_{\beta} - x_{\alpha} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}} + x_{\beta} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right\} \setminus \left\{v_{\alpha x}\right\}, \quad \left\{\frac{- v_{\alpha x} x_{\alpha} y_{\alpha} + v_{\alpha x} x_{\alpha} y_{\beta} + v_{\alpha x} x_{\beta} y_{\alpha} - v_{\alpha x} x_{\beta} y_{\beta} + v_{\alpha y} x_{\alpha}^{2} - 2 v_{\alpha y} x_{\alpha} x_{\beta} + v_{\alpha y} x_{\beta}^{2} + v_{\alpha y} z_{\alpha}^{2} - 2 v_{\alpha y} z_{\alpha} z_{\beta} + v_{\alpha y} z_{\beta}^{2} - v_{\alpha z} y_{\alpha} z_{\alpha} + v_{\alpha z} y_{\alpha} z_{\beta} + v_{\alpha z} y_{\beta} z_{\alpha} - v_{\alpha z} y_{\beta} z_{\beta} - y_{\alpha} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}} + y_{\beta} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right\} \setminus \left\{v_{\alpha y}\right\}, \quad \frac{- v_{\alpha x} x_{\alpha} z_{\alpha} + v_{\alpha x} x_{\alpha} z_{\beta} + v_{\alpha x} x_{\beta} z_{\alpha} - v_{\alpha x} x_{\beta} z_{\beta} - v_{\alpha y} y_{\alpha} z_{\alpha} + v_{\alpha y} y_{\alpha} z_{\beta} + v_{\alpha y} y_{\beta} z_{\alpha} - v_{\alpha y} y_{\beta} z_{\beta} + v_{\alpha z} x_{\alpha}^{2} - 2 v_{\alpha z} x_{\alpha} x_{\beta} + v_{\alpha z} x_{\beta}^{2} + v_{\alpha z} y_{\alpha}^{2} - 2 v_{\alpha z} y_{\alpha} y_{\beta} + v_{\alpha z} y_{\beta}^{2} + \left(- z_{\alpha} + z_{\beta}\right) \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right ), \left ( \left\{\frac{v_{\alpha x} y_{\alpha}^{2} - 2 v_{\alpha x} y_{\alpha} y_{\beta} + v_{\alpha x} y_{\beta}^{2} + v_{\alpha x} z_{\alpha}^{2} - 2 v_{\alpha x} z_{\alpha} z_{\beta} + v_{\alpha x} z_{\beta}^{2} - v_{\alpha y} x_{\alpha} y_{\alpha} + v_{\alpha y} x_{\alpha} y_{\beta} + v_{\alpha y} x_{\beta} y_{\alpha} - v_{\alpha y} x_{\beta} y_{\beta} - v_{\alpha z} x_{\alpha} z_{\alpha} + v_{\alpha z} x_{\alpha} z_{\beta} + v_{\alpha z} x_{\beta} z_{\alpha} - v_{\alpha z} x_{\beta} z_{\beta} + x_{\alpha} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}} - x_{\beta} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right\} \setminus \left\{v_{\alpha x}\right\}, \quad \left\{\frac{- v_{\alpha x} x_{\alpha} y_{\alpha} + v_{\alpha x} x_{\alpha} y_{\beta} + v_{\alpha x} x_{\beta} y_{\alpha} - v_{\alpha x} x_{\beta} y_{\beta} + v_{\alpha y} x_{\alpha}^{2} - 2 v_{\alpha y} x_{\alpha} x_{\beta} + v_{\alpha y} x_{\beta}^{2} + v_{\alpha y} z_{\alpha}^{2} - 2 v_{\alpha y} z_{\alpha} z_{\beta} + v_{\alpha y} z_{\beta}^{2} - v_{\alpha z} y_{\alpha} z_{\alpha} + v_{\alpha z} y_{\alpha} z_{\beta} + v_{\alpha z} y_{\beta} z_{\alpha} - v_{\alpha z} y_{\beta} z_{\beta} + y_{\alpha} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}} - y_{\beta} \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right\} \setminus \left\{v_{\alpha y}\right\}, \quad \frac{- v_{\alpha x} x_{\alpha} z_{\alpha} + v_{\alpha x} x_{\alpha} z_{\beta} + v_{\alpha x} x_{\beta} z_{\alpha} - v_{\alpha x} x_{\beta} z_{\beta} - v_{\alpha y} y_{\alpha} z_{\alpha} + v_{\alpha y} y_{\alpha} z_{\beta} + v_{\alpha y} y_{\beta} z_{\alpha} - v_{\alpha y} y_{\beta} z_{\beta} + v_{\alpha z} x_{\alpha}^{2} - 2 v_{\alpha z} x_{\alpha} x_{\beta} + v_{\alpha z} x_{\beta}^{2} + v_{\alpha z} y_{\alpha}^{2} - 2 v_{\alpha z} y_{\alpha} y_{\beta} + v_{\alpha z} y_{\beta}^{2} + \left(z_{\alpha} - z_{\beta}\right) \sqrt{s_{\beta}^{2} x_{\alpha}^{2} - 2 s_{\beta}^{2} x_{\alpha} x_{\beta} + s_{\beta}^{2} x_{\beta}^{2} + s_{\beta}^{2} y_{\alpha}^{2} - 2 s_{\beta}^{2} y_{\alpha} y_{\beta} + s_{\beta}^{2} y_{\beta}^{2} + s_{\beta}^{2} z_{\alpha}^{2} - 2 s_{\beta}^{2} z_{\alpha} z_{\beta} + s_{\beta}^{2} z_{\beta}^{2} - v_{\alpha x}^{2} y_{\alpha}^{2} + 2 v_{\alpha x}^{2} y_{\alpha} y_{\beta} - v_{\alpha x}^{2} y_{\beta}^{2} - v_{\alpha x}^{2} z_{\alpha}^{2} + 2 v_{\alpha x}^{2} z_{\alpha} z_{\beta} - v_{\alpha x}^{2} z_{\beta}^{2} + 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\alpha} - 2 v_{\alpha x} v_{\alpha y} x_{\alpha} y_{\beta} - 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\alpha} + 2 v_{\alpha x} v_{\alpha y} x_{\beta} y_{\beta} + 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\alpha} - 2 v_{\alpha x} v_{\alpha z} x_{\alpha} z_{\beta} - 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\alpha} + 2 v_{\alpha x} v_{\alpha z} x_{\beta} z_{\beta} - v_{\alpha y}^{2} x_{\alpha}^{2} + 2 v_{\alpha y}^{2} x_{\alpha} x_{\beta} - v_{\alpha y}^{2} x_{\beta}^{2} - v_{\alpha y}^{2} z_{\alpha}^{2} + 2 v_{\alpha y}^{2} z_{\alpha} z_{\beta} - v_{\alpha y}^{2} z_{\beta}^{2} + 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\alpha} - 2 v_{\alpha y} v_{\alpha z} y_{\alpha} z_{\beta} - 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\alpha} + 2 v_{\alpha y} v_{\alpha z} y_{\beta} z_{\beta} - v_{\alpha z}^{2} x_{\alpha}^{2} + 2 v_{\alpha z}^{2} x_{\alpha} x_{\beta} - v_{\alpha z}^{2} x_{\beta}^{2} - v_{\alpha z}^{2} y_{\alpha}^{2} + 2 v_{\alpha z}^{2} y_{\alpha} y_{\beta} - v_{\alpha z}^{2} y_{\beta}^{2}}}{x_{\alpha}^{2} - 2 x_{\alpha} x_{\beta} + x_{\beta}^{2} + y_{\alpha}^{2} - 2 y_{\alpha} y_{\beta} + y_{\beta}^{2} + z_{\alpha}^{2} - 2 z_{\alpha} z_{\beta} + z_{\beta}^{2}}\right )\right\}$