Function: rnfelttrace
Section: number_fields
C-Name: rnfelttrace
Prototype: GG
Help: rnfelttrace(rnf,x): returns the relative trace Tr_{L/K}(x), as an element
of K.
Doc: $\var{rnf}$ being a relative number field extension $L/K$ as output by
\kbd{rnfinit} and $x$ being an element of $L$, returns the relative trace
$Tr_{L/K}(x)$ as an element of $K$.
\bprog
? K = nfinit(y^2+1); L = rnfinit(K, x^2-y);
? rnfelttrace(L, Mod(x, L.pol))
%2 = 0
? rnfelttrace(L, 2)
%3 = 4
? rnfelttrace(L, Mod(x, x^2-y))
@eprog