Listen to primes factoring in a number field

\(F=\mathbf{Q}(\alpha)\) where \(\alpha\) is a root of \(x^{8} -5x^{7} +6x^{6} +2x^{5} +4x^{4} +x^{3} -3x^{2} -2x +1\)
Note: Polynomials with large degree or large coefficients often take longer to start
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