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Complex Numbersmedium
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If ω=cos⁡(2π/3)+isin⁡(2π/3)\omega = \cos(2\pi/3) + i\sin(2\pi/3)ω=cos(2π/3)+isin(2π/3), what is the result of 1+ω+ω21 + \omega + \omega^21+ω+ω2?