Function: bnrgaloismatrix
Section: number_fields
C-Name: bnrgaloismatrix
Prototype: GG
Help: bnrgaloismatrix(bnr,aut): return the matrix of the action of the
automorphism aut of the base field bnf.nf on the generators of the ray class
field bnr.gen. aut can be given as a polynomial, or a vector of automorphisms
or a galois group as output by galoisinit, in which case a vector of matrices
is returned (in the later case, only for the generators aut.gen).
Doc: return the matrix of the action of the automorphism \var{aut} of the base
field \kbd{bnf.nf} on the generators of the ray class field \kbd{bnr.gen}.
\var{aut} can be given as a polynomial, an algebraic number, or a vector of
automorphisms or a Galois group as output by \kbd{galoisinit}, in which case a
vector of matrices is returned (in the later case, only for the generators
\kbd{aut.gen}).
See \kbd{bnrisgalois} for an example.
Variant: When $aut$ is a polynomial or an algebraic number,
\fun{GEN}{bnrautmatrix}{GEN bnr, GEN aut} is available.