Let
\[z = \frac{-\sqrt{3} + i}{2}.\]Compute $z^6.$
Question:
Let
\[z = \frac{-\sqrt{3} + i}{2}.\]Compute $z^6.$
Answer:
Let's think step by step.

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Let
\[z = \frac{-\sqrt{3} + i}{2}.\]Compute $z^6.$
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