For all complex numbers z, let
f(z) = z^2 if z is not real
f(z) = z^3 if z is real
Find f(f(f(f(1+i)))).
f(f(f(f(1+i))))
f(i+1) = (i+1)2 = 2i
f(f(i+1)) = f(2i) = -4
f(f(f(i+1))) = f(-4) = -64
f(f(f(f(i+1)))) = f(-64) = -262144
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