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

Mathematica incorporates the latest algorithms—some original to Wolfram Research—for evaluating mathematical constants to any number of digits of precision. For basic ...

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

NumberFieldSignature[a] gives the signature of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

NumberFieldNormRepresentatives[a, m] gives a list of representatives of classes of algebraic integers of norm \[PlusMinus]m in the field \[DoubleStruckCapitalQ][a] generated ...

Extension is an option for various polynomial and algebraic functions that specifies generators for the algebraic number field to be used.

Eigenvalues[m] gives a list of the eigenvalues of the square matrix m. Eigenvalues[{m, a}] gives the generalized eigenvalues of m with respect to a. Eigenvalues[m, k] gives ...

RootedEmbedding[g, v] constructs a rooted embedding of graph g with vertex v as the root. RootedEmbedding[g] constructs a rooted embedding with a center of g as the root.

Algebraics represents the domain of algebraic numbers, as in x \[Element] Algebraics.

Minimize[f, x] minimizes f with respect to x.Minimize[f, {x, y, ...}] minimizes f with respect to x, y, .... Minimize[{f, cons}, {x, y, ...}] minimizes f subject to the ...