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Complex Numbershard
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If z=cos⁡(2π/9)+isin⁡(2π/9)z = \cos(2\pi/9) + i\sin(2\pi/9)z=cos(2π/9)+isin(2π/9), what is the value of z3+z−3z^3 + z^{-3}z3+z−3?