Решить 0=0I-z^KS

$$0 = 0 I - z ^ { K } S$$

Найдите I (комплексное решение)

$$I\in \mathrm{C}$$

$$S=0\text{ or }\left(z=0\text{ and }K\neq 0\right)$$

Найдите K (комплексное решение)

$$\left\{\begin{matrix}K\neq 0\text{, }&z=0\\K\in \mathrm{C}\text{, }&S=0\end{matrix}\right,$$

Найдите I

$$I\in \mathrm{R}$$

$$\left(z<0\text{ and }S=0\text{ and }Denominator(K)\text{bmod}2=1\right)\text{ or }\left(z>0\text{ and }S=0\right)\text{ or }\left(z=0\text{ and }K>0\right)$$

Найдите K

$$\left\{\begin{matrix}K>0\text{, }&z=0\\K\in \mathrm{R}\text{, }&\left(z>0\text{ or }Denominator(K)\text{bmod}2=1\right)\text{ and }z\neq 0\text{ and }S=0\end{matrix}\right,$$