# Tan Roots

Algebra Level 5

Suppose the roots of the monic polynomial $x^{8}-92x^{6}+134x^{4}-28x^{2}+1$ are $\tan(m_{i}\pi)$ where $1\leq i\leq8$ and $0 Find the value of $\displaystyle{\sum_{i=1}^8 m_i}.$

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