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AlgebraicNumberTrace

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Trace of an algebraic number (sum of its conjugates over the rationals)

AlgebraicNumberTrace[a]
AlgebraicNumberTrace[5 + Sqrt[2]] → 10AlgebraicNumberTrace[Root[# ^ 4 + 11# ^ 3 + # ^ 2 + # + 1&, 1]] → -11AlgebraicNumberTrace[2] → 2

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