#17516: Radical expressions for roots of polynomials using Galois theory
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Reporter: gagern | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: number fields | Resolution:
Keywords: radical galois symbolic | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #14239 | Stopgaps:
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Comment (by gagern):
I guess I hadn't grasped the full significance of the term
[http://en.wikipedia.org/wiki/P-adic_number p-adic integer] in the docs.
The way I see it, we could use `Zp(gal[1][0], prec=gal[1][1], type="fixed-
mod")` to represent the roots returned by PARI in the Sage world, perform
arithmetic on them and then use the `rational_reconstruction` if some
result is known to be rational. Will have to look more closely, but I fear
that some other results will belong to some field extension instead, and
I'm not sure whether we could reconstruct these as well. Will need more
reading and thinking.
--
Ticket URL: <http://trac.sagemath.org/ticket/17516#comment:12>
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