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Let $\omega$ be a complex number such that \[\omega + \frac{1}{\omega} = 1.\]Find all possible values of \[\omega^n + \frac{1}{\omega^n},\]where $n$ is a positive integer.  Enter all possible values, separated by commas.

 Dec 28, 2020
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The only possible values of w^n + 1/w^n are 1 and -1.

 Jan 1, 2021

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