For all complex numbers \(z\), let\(f(z) = \left\{ \begin{array}{cl} z^{2}&\text{ if }z\text{ is not real}, \\ -z^2 &\text{ if }z\text{ is real}. \end{array} \right.\)Find \( f(f(f(f(1+i))))\).
f(f(f(f(1 + i)))) = -64.
