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Consider the primitive 16th root of unit w16. What is the sum of all of its powers, i.e. w16^0 + w16^1 + w16^2 + ...

Consider the primitive 16th root of unit w16. What is the sum of all of its powers, i.e.

w16^0 + w16^1 + w16^2 + ... + w16^15 = ?

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