#10677: Improve PARI interface for relative number fields
------------------------------+---------------------------------------------
Reporter: jdemeyer | Owner: davidloeffler
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.6.2
Component: number fields | Keywords: pari rnf
Author: Jeroen Demeyer | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by jdemeyer):
Replying to [comment:6 mstreng]:
> Clearly "0" is incorrect.
Whether or not "0" is correct, I believe you are doing things the wrong
way. The following is a proper example of a PARI relative number field
element::
{{{
Mod(Mod(y, y^3 + 17)*x + Mod(1, y^3 + 17), x^2 - y)
}}}
Here, K is the field over QQ defined by `y^3 + 17` and L is the extension
defined by `x^2 - y`.
There is an example in my patch in
`sage/rings/number_field/number_field_element.pyx`, line 3316. But it
might be a good idea to expand this.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10677#comment:7>
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