Can you find the relation between 1007 and 2015?

Algebra Level 4

\( \sum ^{1007} _{r=1} cos(\frac{2 \pi r}{2015}) \) can be expressed as \((-\frac{m}{n})\) , where \(m\) and \(n\) are co-prime positive integers. Calculate \(m+n\).

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