$\left\{\begin{matrix}G=\frac{hc^{5}}{e^{4}\left(gnry\right)^{2}}\text{, }&c\neq 0\text{ and }h\neq 0\text{ and }arg(gnry)<\pi \text{ and }y\neq 0\text{ and }g\neq 0\text{ and }r\neq 0\text{ and }n\neq 0\\G\neq 0\text{, }&\left(n=0\text{ and }c=0\right)\text{ or }\left(r=0\text{ and }c=0\right)\text{ or }\left(g=0\text{ and }c=0\right)\text{ or }\left(y=0\text{ and }c=0\right)\text{ or }\left(y=0\text{ and }h=0\text{ and }c\neq 0\right)\text{ or }\left(g=0\text{ and }h=0\text{ and }c\neq 0\right)\text{ or }\left(r=0\text{ and }h=0\text{ and }c\neq 0\right)\text{ or }\left(n=0\text{ and }h=0\text{ and }c\neq 0\right)\end{matrix}\right.$

$\left\{\begin{matrix}c=e^{\frac{4+2\pi i}{5}}h^{-\frac{1}{5}}\sqrt[5]{G}g^{\frac{2}{5}}n^{\frac{2}{5}}r^{\frac{2}{5}}y^{\frac{2}{5}}\text{; }c=e^{\frac{4}{5}}h^{-\frac{1}{5}}\sqrt[5]{G}g^{\frac{2}{5}}n^{\frac{2}{5}}r^{\frac{2}{5}}y^{\frac{2}{5}}\text{; }c=ie^{\frac{3\pi i}{10}+\frac{4}{5}}h^{-\frac{1}{5}}\sqrt[5]{G}g^{\frac{2}{5}}n^{\frac{2}{5}}r^{\frac{2}{5}}y^{\frac{2}{5}}\text{; }c=-e^{\frac{4+\pi i}{5}}h^{-\frac{1}{5}}\sqrt[5]{G}g^{\frac{2}{5}}n^{\frac{2}{5}}r^{\frac{2}{5}}y^{\frac{2}{5}}\text{; }c=-ie^{\frac{\pi i}{10}+\frac{4}{5}}h^{-\frac{1}{5}}\sqrt[5]{G}g^{\frac{2}{5}}n^{\frac{2}{5}}r^{\frac{2}{5}}y^{\frac{2}{5}}\text{, }&h\neq 0\text{ and }G\neq 0\text{ and }\left(arg(gnry)<\pi \text{ or }y=0\text{ or }g=0\text{ or }r=0\text{ or }n=0\right)\\c\in \mathrm{C}\text{, }&\left(y=0\text{ or }g=0\text{ or }r=0\text{ or }n=0\right)\text{ and }h=0\text{ and }G\neq 0\end{matrix}\right.$