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AlgebraicNumberTrace

AlgebraicNumberTrace[a]
gives the trace of the algebraic number a.

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The trace of a is defined to be the sum of the roots of its minimal polynomial.

AlgebraicNumberTrace[a, Extension→] finds the trace of a over the field .

Basic Examples (1)

Integers and rational numbers:

Radical expressions:

Root and AlgebraicNumber objects:

AlgebraicNumberTrace automatically threads over lists:

Trace of

over

:

Properties & Relations (3)

AlgebraicNumberTrace is additive:

Use ToNumberField to find the trace of

in the field

:

The trace is the sum of its minimal polynomial roots:

AlgebraicNumberNorm MinimalPolynomial SymmetricPolynomial NumberFieldDiscriminant

Algebraic Number Fields

Algebraic Number Theory

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