# An algebra problem by Hobart Pao

Algebra Level 4

If $$C= 1 + \omega^{2} + \omega^{4} + \omega^{6} + \cdots + \omega^{2014}$$, where $$\omega$$ represents the 2016th root of unity that isn't 1 or $$-1$$, find the value of $$C$$.

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