# Vieta's take too long

Algebra Level 5

$100 (a_1^2 + 1)(a_2^2 + 1)\cdots (a_{10}^2 + 1)$

Let $$a_1, a_2, \ldots,a_{10}$$ denote the roots to the equation $$\displaystyle \sum_{m=1}^{10} m x^m = 0$$. Find the value of the expression above.

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