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NumberFieldDiscriminant

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Discriminant of the number field generated by an algebraic number

NumberFieldDiscriminant[a]
NumberFieldDiscriminant[Sqrt[3 + Sqrt[2]]] → 7168NumberFieldDiscriminant[Root[2# ^ 3 - # + 1&, 2]] → -4Select[Divisors[NumberFieldDiscriminant[2 ^ (1 / 3)]], PrimeQ] → {2, 3}

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