\[ \large \displaystyle\sum _{ n=1 }^{ 2015 }{ (-1)^{ n }\sin ^{ 2016 }{ \left( \dfrac { n\pi }{ 2016 } \right) } } =\dfrac { a }{ { 2 }^{ b } } \]

The equation above holds true for positive integers \(a\) and \(b\) with \(b\) maximized. Find \(a+b\).

**Note**:the fraction is in simplest terms

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