What are both positive integer values of $$\(n\)$$ which satisfy $$\[ \sin ^{2}\left(\frac{\pi}{6}\right)+\sin ^{2}\left(\frac{2 \pi}{6}\right)+\sin ^{2}\left(\frac{3 \pi}{6}\right)+\ldots+\sin ^{2}\left(\frac{(n-1) \pi}{6}\right)+\sin ^{2}\left(\frac{n \pi}{6}\right)=2016 ? \]$$

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