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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