# Complexity

Algebra Level pending

Four complex numbers $$z$$ are in the form $$\pm (a+bi)$$ and $$\pm (c + di)$$ satisfy the equation $$\dfrac{z^4+1}{z^4-1} = \dfrac i{\sqrt3}$$, find $$(a+b+c+d)^2$$.

Clarification: $$i = \sqrt{-1}$$.

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