Splitting fields

[Jeroen Demeyer <J.Demeyer@UGent.be>]

Hello list,

Suppose I have given an irreducible polynomial f(x) in Z[x].
I want to use PARI/GP to find the splitting field (as a nf) of this 
polynomial, i.e. the smallest field containing *all* roots of f(x).

The problem is that Q[x]/f(x) is not equal to the splitting field if 
it's not Galois.  For instance, the splitting field of x^3 - 2 has degree 6.

Is there a way to do this?

Thanks,
Jeroen