# Don't note the factorisation of 34

Geometry Level 4

The sum

$\sum_{n=0}^{18} \sin^2\left(\frac{34}{19} \cdot 2\pi n^2\right)$

can be expressed in the form $$\dfrac{m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers. Find $$m+n$$.

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