#20244: root_field() does not work for p-adic fields
------------------------------------+------------------------
Reporter: saraedum | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.2
Component: padics | Resolution:
Keywords: days71, beginner | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
------------------------------------+------------------------
Description changed by saraedum:
Old description:
> {{{
> sage: R.<x> = Qp(3)[]
> sage: (x^3+3).root_field('a')
> Univariate Quotient Polynomial Ring in a over 3-adic Field with capped
> relative precision 20 with modulus (1 + O(3^20))*x^3 + (3 + O(3^21))
> }}}
>
> Also the documentation is somewhat confusing. It should be made clear
> that this is not the same as `splitting_field()`.
New description:
Currently it creates a quotient of a polynomial ring over the p-adics. It
should call `extension()` to create a proper extension instead.
{{{
sage: R.<x> = Qp(3)[]
sage: (x^3+3).root_field('a')
Univariate Quotient Polynomial Ring in a over 3-adic Field with capped
relative precision 20 with modulus (1 + O(3^20))*x^3 + (3 + O(3^21))
}}}
Also the documentation is somewhat confusing. It should be made clear that
this is not the same as `splitting_field()`.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/20244#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
