Just a century

Algebra Level 5

a=0100b=1100xba \large \displaystyle \sum^{100}_{a=0} \sum^{100}_{b=1}x_{b}^{a}

Let x1,x2,x3,,x100x_{1},x_{2},x_{3},\ldots,x_{100} be the roots of the equation x100+x+1=0x^{100}+x+1=0. Evaluate the summation above.

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