On 2012-07-25 09:10, David Loeffler wrote:
> The hard question is to compute a defining
> polynomial for the splitting field of f, identify all the roots of f
> as elements of that field, and determine each element of the Galois
> group in terms of how it acts on a single generator of the splitting
> field.

"hard" in the sense that there is a known good (but complicated)
algorithm which does the trick or "hard" in the sense that there is no
known good algorithm?

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