Function: hilbert
Section: number_theoretical
C-Name: hilbert
Prototype: lGGDG
Help: hilbert(x,y,{p}): Hilbert symbol at p of x,y.
Doc: \idx{Hilbert symbol} of $x$ and $y$ modulo the prime $p$, $p=0$ meaning
 the place at infinity (the result is undefined if $p\neq 0$ is not prime).

 It is possible to omit $p$, in which case we take $p = 0$ if both $x$
 and $y$ are rational, or one of them is a real number. And take $p = q$
 if one of $x$, $y$ is a \typ{INTMOD} modulo $q$ or a $q$-adic. (Incompatible
 types will raise an error.)

 The quaternion algebra~$(x,y)_\Q$ can be created with
 \kbd{alginit(nfinit('t),[x,y])} (for more details see \tet{alginit}).
