Let the roots of z^{99} = 1 be z_k = x_k + iy_k for 1 \le k \le 99, where $x_k$ and $y_k$ are real. Let $P(z)$ be the monic polynomial whose roots are x_k - iy_k,$ for $1 \le k \le 99.$ Compute P(-2).
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