Let
\(f(z) = \left\{ \begin{array}{cl} z^{2}&\text{ if }z\text{ is not real}, \\ z &\text{ if }z\text{ is real}. \end{array} \right.\)
Find f(i) + f(1) + f(-1) + f(-i).
f(i) + f(1) + f(-1) + f(-i) = 8.
