Let $a$ and $b$ be two 12th roots of unity, not necessarily distinct.  Find the number of different possible values of $(a + b)^{12}.$
Question:
Let $a$ and $b$ be two 12th roots of unity, not necessarily distinct.  Find the number of different possible values of $(a + b)^{12}.$
Answer:
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Let $a$ and $b$ be two 12th roots of unity, not necessarily distinct.  Find the number of different possible values of $(a + b)^{12}.$
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