How many integers n \geq 2 are there such that whenever z_{1}, z_{2}, \ldots, z_{n} are complex numbers such that
\left|z_{1}\right|=\left|z_{2}\right|=\ldots=\left|z_{n}\right|=1 \text { and } z_{1}+z_{2}+\ldots+z_{n}=0
then the numbers z_{1}, z_{2}, \ldots, z_{n} are equally spaced on the unit circle in the complex plane?
Answer Choices
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