Jeroen Demeyer on Tue, 13 Dec 2005 10:32:02 +0100 |
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Splitting fields |
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