Equations:

$$\begin{align}\dot{x}_{0}&=x_{1}\\\dot{x}_{1}&=- \frac{1.00096076292 \cdot x_{0}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{2}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{4}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{6}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{8}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(- x_{0} + x_{2}\right)}{\left(\left(- x_{0} + x_{2}\right)^{2} + \left(- x_{10} + x_{12}\right)^{2} + \left(- x_{20} + x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{0} + x_{4}\right)}{\left(\left(- x_{0} + x_{4}\right)^{2} + \left(- x_{10} + x_{14}\right)^{2} + \left(- x_{20} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{0} + x_{6}\right)}{\left(\left(- x_{0} + x_{6}\right)^{2} + \left(- x_{10} + x_{16}\right)^{2} + \left(- x_{20} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{0} + x_{8}\right)}{\left(\left(- x_{0} + x_{8}\right)^{2} + \left(- x_{10} + x_{18}\right)^{2} + \left(- x_{20} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{2}&=x_{3}\\\dot{x}_{3}&=- \frac{0.0009547861 \cdot x_{0}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{1.00029156055 \cdot x_{2}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{4}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{6}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{8}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{0} - x_{2}\right)}{\left(\left(x_{0} - x_{2}\right)^{2} + \left(x_{10} - x_{12}\right)^{2} + \left(x_{20} - x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{2} + x_{4}\right)}{\left(\left(- x_{12} + x_{14}\right)^{2} + \left(- x_{2} + x_{4}\right)^{2} + \left(- x_{22} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{2} + x_{6}\right)}{\left(\left(- x_{12} + x_{16}\right)^{2} + \left(- x_{2} + x_{6}\right)^{2} + \left(- x_{22} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{2} + x_{8}\right)}{\left(\left(- x_{12} + x_{18}\right)^{2} + \left(- x_{2} + x_{8}\right)^{2} + \left(- x_{22} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{4}&=x_{5}\\\dot{x}_{5}&=- \frac{0.0009547861 \cdot x_{0}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{2}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{1.00004970413 \cdot x_{4}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{6}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{8}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{0} - x_{4}\right)}{\left(\left(x_{0} - x_{4}\right)^{2} + \left(x_{10} - x_{14}\right)^{2} + \left(x_{20} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{2} - x_{4}\right)}{\left(\left(x_{12} - x_{14}\right)^{2} + \left(x_{2} - x_{4}\right)^{2} + \left(x_{22} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{4} + x_{6}\right)}{\left(\left(- x_{14} + x_{16}\right)^{2} + \left(- x_{24} + x_{26}\right)^{2} + \left(- x_{4} + x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{4} + x_{8}\right)}{\left(\left(- x_{14} + x_{18}\right)^{2} + \left(- x_{24} + x_{28}\right)^{2} + \left(- x_{4} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{6}&=x_{7}\\\dot{x}_{7}&=- \frac{0.0009547861 \cdot x_{0}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{2}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{4}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{1.00005775273 \cdot x_{6}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{8}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{0} - x_{6}\right)}{\left(\left(x_{0} - x_{6}\right)^{2} + \left(x_{10} - x_{16}\right)^{2} + \left(x_{20} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{2} - x_{6}\right)}{\left(\left(x_{12} - x_{16}\right)^{2} + \left(x_{2} - x_{6}\right)^{2} + \left(x_{22} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{4} - x_{6}\right)}{\left(\left(x_{14} - x_{16}\right)^{2} + \left(x_{24} - x_{26}\right)^{2} + \left(x_{4} - x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{6} + x_{8}\right)}{\left(\left(- x_{16} + x_{18}\right)^{2} + \left(- x_{26} + x_{28}\right)^{2} + \left(- x_{6} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{8}&=x_{9}\\\dot{x}_{9}&=- \frac{0.0009547861 \cdot x_{0}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{2}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{4}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{6}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{1.00000875459 \cdot x_{8}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{0} - x_{8}\right)}{\left(\left(x_{0} - x_{8}\right)^{2} + \left(x_{10} - x_{18}\right)^{2} + \left(x_{20} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{2} - x_{8}\right)}{\left(\left(x_{12} - x_{18}\right)^{2} + \left(x_{2} - x_{8}\right)^{2} + \left(x_{22} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{4} - x_{8}\right)}{\left(\left(x_{14} - x_{18}\right)^{2} + \left(x_{24} - x_{28}\right)^{2} + \left(x_{4} - x_{8}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(x_{6} - x_{8}\right)}{\left(\left(x_{16} - x_{18}\right)^{2} + \left(x_{26} - x_{28}\right)^{2} + \left(x_{6} - x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{10}&=x_{11}\\\dot{x}_{11}&=- \frac{1.00096076292 \cdot x_{10}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{12}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{14}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{16}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{18}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(- x_{10} + x_{12}\right)}{\left(\left(- x_{0} + x_{2}\right)^{2} + \left(- x_{10} + x_{12}\right)^{2} + \left(- x_{20} + x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{10} + x_{14}\right)}{\left(\left(- x_{0} + x_{4}\right)^{2} + \left(- x_{10} + x_{14}\right)^{2} + \left(- x_{20} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{10} + x_{16}\right)}{\left(\left(- x_{0} + x_{6}\right)^{2} + \left(- x_{10} + x_{16}\right)^{2} + \left(- x_{20} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{10} + x_{18}\right)}{\left(\left(- x_{0} + x_{8}\right)^{2} + \left(- x_{10} + x_{18}\right)^{2} + \left(- x_{20} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{12}&=x_{13}\\\dot{x}_{13}&=- \frac{0.0009547861 \cdot x_{10}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{1.00029156055 \cdot x_{12}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{14}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{16}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{18}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{10} - x_{12}\right)}{\left(\left(x_{0} - x_{2}\right)^{2} + \left(x_{10} - x_{12}\right)^{2} + \left(x_{20} - x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{12} + x_{14}\right)}{\left(\left(- x_{12} + x_{14}\right)^{2} + \left(- x_{2} + x_{4}\right)^{2} + \left(- x_{22} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{12} + x_{16}\right)}{\left(\left(- x_{12} + x_{16}\right)^{2} + \left(- x_{2} + x_{6}\right)^{2} + \left(- x_{22} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{12} + x_{18}\right)}{\left(\left(- x_{12} + x_{18}\right)^{2} + \left(- x_{2} + x_{8}\right)^{2} + \left(- x_{22} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{14}&=x_{15}\\\dot{x}_{15}&=- \frac{0.0009547861 \cdot x_{10}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{12}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{1.00004970413 \cdot x_{14}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{16}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{18}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{10} - x_{14}\right)}{\left(\left(x_{0} - x_{4}\right)^{2} + \left(x_{10} - x_{14}\right)^{2} + \left(x_{20} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{12} - x_{14}\right)}{\left(\left(x_{12} - x_{14}\right)^{2} + \left(x_{2} - x_{4}\right)^{2} + \left(x_{22} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{14} + x_{16}\right)}{\left(\left(- x_{14} + x_{16}\right)^{2} + \left(- x_{24} + x_{26}\right)^{2} + \left(- x_{4} + x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{14} + x_{18}\right)}{\left(\left(- x_{14} + x_{18}\right)^{2} + \left(- x_{24} + x_{28}\right)^{2} + \left(- x_{4} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{16}&=x_{17}\\\dot{x}_{17}&=- \frac{0.0009547861 \cdot x_{10}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{12}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{14}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{1.00005775273 \cdot x_{16}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{18}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{10} - x_{16}\right)}{\left(\left(x_{0} - x_{6}\right)^{2} + \left(x_{10} - x_{16}\right)^{2} + \left(x_{20} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{12} - x_{16}\right)}{\left(\left(x_{12} - x_{16}\right)^{2} + \left(x_{2} - x_{6}\right)^{2} + \left(x_{22} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{14} - x_{16}\right)}{\left(\left(x_{14} - x_{16}\right)^{2} + \left(x_{24} - x_{26}\right)^{2} + \left(x_{4} - x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{16} + x_{18}\right)}{\left(\left(- x_{16} + x_{18}\right)^{2} + \left(- x_{26} + x_{28}\right)^{2} + \left(- x_{6} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{18}&=x_{19}\\\dot{x}_{19}&=- \frac{0.0009547861 \cdot x_{10}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{12}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{14}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{16}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{1.00000875459 \cdot x_{18}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{10} - x_{18}\right)}{\left(\left(x_{0} - x_{8}\right)^{2} + \left(x_{10} - x_{18}\right)^{2} + \left(x_{20} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{12} - x_{18}\right)}{\left(\left(x_{12} - x_{18}\right)^{2} + \left(x_{2} - x_{8}\right)^{2} + \left(x_{22} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{14} - x_{18}\right)}{\left(\left(x_{14} - x_{18}\right)^{2} + \left(x_{24} - x_{28}\right)^{2} + \left(x_{4} - x_{8}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(x_{16} - x_{18}\right)}{\left(\left(x_{16} - x_{18}\right)^{2} + \left(x_{26} - x_{28}\right)^{2} + \left(x_{6} - x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{20}&=x_{21}\\\dot{x}_{21}&=- \frac{1.00096076292 \cdot x_{20}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{22}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{24}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{26}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{28}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(- x_{20} + x_{22}\right)}{\left(\left(- x_{0} + x_{2}\right)^{2} + \left(- x_{10} + x_{12}\right)^{2} + \left(- x_{20} + x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{20} + x_{24}\right)}{\left(\left(- x_{0} + x_{4}\right)^{2} + \left(- x_{10} + x_{14}\right)^{2} + \left(- x_{20} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{20} + x_{26}\right)}{\left(\left(- x_{0} + x_{6}\right)^{2} + \left(- x_{10} + x_{16}\right)^{2} + \left(- x_{20} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{20} + x_{28}\right)}{\left(\left(- x_{0} + x_{8}\right)^{2} + \left(- x_{10} + x_{18}\right)^{2} + \left(- x_{20} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{22}&=x_{23}\\\dot{x}_{23}&=- \frac{0.0009547861 \cdot x_{20}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{1.00029156055 \cdot x_{22}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{24}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{26}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{28}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{20} - x_{22}\right)}{\left(\left(x_{0} - x_{2}\right)^{2} + \left(x_{10} - x_{12}\right)^{2} + \left(x_{20} - x_{22}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(- x_{22} + x_{24}\right)}{\left(\left(- x_{12} + x_{14}\right)^{2} + \left(- x_{2} + x_{4}\right)^{2} + \left(- x_{22} + x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{22} + x_{26}\right)}{\left(\left(- x_{12} + x_{16}\right)^{2} + \left(- x_{2} + x_{6}\right)^{2} + \left(- x_{22} + x_{26}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{22} + x_{28}\right)}{\left(\left(- x_{12} + x_{18}\right)^{2} + \left(- x_{2} + x_{8}\right)^{2} + \left(- x_{22} + x_{28}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{24}&=x_{25}\\\dot{x}_{25}&=- \frac{0.0009547861 \cdot x_{20}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{22}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{1.00004970413 \cdot x_{24}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{26}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{28}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{20} - x_{24}\right)}{\left(\left(x_{0} - x_{4}\right)^{2} + \left(x_{10} - x_{14}\right)^{2} + \left(x_{20} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{22} - x_{24}\right)}{\left(\left(x_{12} - x_{14}\right)^{2} + \left(x_{2} - x_{4}\right)^{2} + \left(x_{22} - x_{24}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(- x_{24} + x_{26}\right)}{\left(\left(- x_{14} + x_{16}\right)^{2} + \left(- x_{24} + x_{26}\right)^{2} + \left(- x_{4} + x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{24} + x_{28}\right)}{\left(\left(- x_{14} + x_{18}\right)^{2} + \left(- x_{24} + x_{28}\right)^{2} + \left(- x_{4} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{26}&=x_{27}\\\dot{x}_{27}&=- \frac{0.0009547861 \cdot x_{20}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{22}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{24}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{1.00005775273 \cdot x_{26}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{2.77777 \cdot 10^{-6} \cdot x_{28}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{20} - x_{26}\right)}{\left(\left(x_{0} - x_{6}\right)^{2} + \left(x_{10} - x_{16}\right)^{2} + \left(x_{20} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{22} - x_{26}\right)}{\left(\left(x_{12} - x_{16}\right)^{2} + \left(x_{2} - x_{6}\right)^{2} + \left(x_{22} - x_{26}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{24} - x_{26}\right)}{\left(\left(x_{14} - x_{16}\right)^{2} + \left(x_{24} - x_{26}\right)^{2} + \left(x_{4} - x_{6}\right)^{2}\right)^{3 / 2}} + \frac{2.77777 \cdot 10^{-6} \cdot \left(- x_{26} + x_{28}\right)}{\left(\left(- x_{16} + x_{18}\right)^{2} + \left(- x_{26} + x_{28}\right)^{2} + \left(- x_{6} + x_{8}\right)^{2}\right)^{3 / 2}}\\\dot{x}_{28}&=x_{29}\\\dot{x}_{29}&=- \frac{0.0009547861 \cdot x_{20}}{\left(x_{0}^{2} + x_{10}^{2} + x_{20}^{2}\right)^{3 / 2}} - \frac{0.00028558373 \cdot x_{22}}{\left(x_{12}^{2} + x_{2}^{2} + x_{22}^{2}\right)^{3 / 2}} - \frac{4.372731 \cdot 10^{-5} \cdot x_{24}}{\left(x_{14}^{2} + x_{24}^{2} + x_{4}^{2}\right)^{3 / 2}} - \frac{5.177591 \cdot 10^{-5} \cdot x_{26}}{\left(x_{16}^{2} + x_{26}^{2} + x_{6}^{2}\right)^{3 / 2}} - \frac{1.00000875459 \cdot x_{28}}{\left(x_{18}^{2} + x_{28}^{2} + x_{8}^{2}\right)^{3 / 2}} + \frac{0.0009547861 \cdot \left(x_{20} - x_{28}\right)}{\left(\left(x_{0} - x_{8}\right)^{2} + \left(x_{10} - x_{18}\right)^{2} + \left(x_{20} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{0.00028558373 \cdot \left(x_{22} - x_{28}\right)}{\left(\left(x_{12} - x_{18}\right)^{2} + \left(x_{2} - x_{8}\right)^{2} + \left(x_{22} - x_{28}\right)^{2}\right)^{3 / 2}} + \frac{4.372731 \cdot 10^{-5} \cdot \left(x_{24} - x_{28}\right)}{\left(\left(x_{14} - x_{18}\right)^{2} + \left(x_{24} - x_{28}\right)^{2} + \left(x_{4} - x_{8}\right)^{2}\right)^{3 / 2}} + \frac{5.177591 \cdot 10^{-5} \cdot \left(x_{26} - x_{28}\right)}{\left(\left(x_{16} - x_{18}\right)^{2} + \left(x_{26} - x_{28}\right)^{2} + \left(x_{6} - x_{8}\right)^{2}\right)^{3 / 2}}\end{align}$$