# Just a century

Algebra Level 5

$\large \displaystyle \sum^{100}_{a=0} \sum^{100}_{b=1}x_{b}^{a}$

Let $x_{1},x_{2},x_{3},\ldots,x_{100}$ be the roots of the equation $x^{100}+x+1=0$. Evaluate the summation above.

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