Suppose \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilatera...

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Suppose \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle inscribed in the circle \( |z|=2 \). If \( z_{1}=1+i \sqrt{3} \), then \( z_{2}=\ldots, z_{3}=\ldots \).
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