Решить y^x=1

$$y ^ { x } = 1$$

Найдите x (комплексное решение)

$$\left\{\begin{matrix}x=\frac{2\pi n_{1}i}{\ln(y)}\text{, }n_{1}\in \mathrm{Z}\text{, }&y\neq 1\text{ and }y\neq 0\\x\in \mathrm{C}\text{, }&y=1\end{matrix}\right,$$

Найдите y (комплексное решение)

$$y=e^{-\frac{2\pi n_{1}\left(Im(x)+iRe(x)\right)}{\left(Re(x)\right)^{2}+\left(Im(x)\right)^{2}}}$$

$$n_{1}\in \mathrm{Z}$$

Найдите x

$$\left\{\begin{matrix}x=0\text{, }&y\neq 0\text{ and }|y|\neq 1\\x\in \mathrm{R}\text{, }&y=1\end{matrix}\right,$$

Найдите y

$$\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y=-1\text{, }&Numerator(x)\text{bmod}2=0\text{ and }Denominator(x)\text{bmod}2=1\\y\neq 0\text{, }&x=0\end{matrix}\right,$$