algaut

Function: algaut
Section: algebras
C-Name: algaut
Prototype: mG
Help: algaut(al): the stored automorphism of the splitting field of the
 cyclic algebra al.
Doc: Given a cyclic algebra $\var{al} = (L/K,\sigma,b)$ output by
 \tet{alginit}, returns the automorphism $\sigma$.
 \bprog
 ? nf = nfinit(y);
 ? p = idealprimedec(nf,7)[1];
 ? p2 = idealprimedec(nf,11)[1];
 ? A = alginit(nf,[3,[[p,p2],[1/3,2/3]],[0]]);
 ? algaut(A)
 %5 = -1/3*x^2 + 1/3*x + 26/3
 @eprog