#20749: Use PARI nfeltup() for inclusion of base field into relative number
field
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Reporter: pbruin | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.3
Component: number fields | Resolution:
Keywords: relative number | Merged in:
field pari | Reviewers: Stephan Ehlen
Authors: Peter Bruin | Work issues:
Report Upstream: N/A | Commit:
Branch: | 9f1d90be8d3f05b6d5de8ee75e36e6d17ad52095
u/pbruin/20749-pari_nfeltup | Stopgaps:
Dependencies: |
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Comment (by pbruin):
Replying to [comment:10 pbruin]:
> What `_nf_nfzk` does is computing the images of a '''Q'''-basis of the
base field ''K'' under the inclusion map into the relative field (so
mapping any element is reduced to linear algebra). This means that
`_nf_nfzk` should roughly perform [''K'':'''Q'''] "slow" applications of
this inclusion map; it is currently much more. I am now trying to profile
the computation directly in PARI.
Indeed, it turns out that the PARI function `nf_nfzk` performs too much
work. I will report this to the PARI developers together with a proposed
solution.
--
Ticket URL: <http://trac.sagemath.org/ticket/20749#comment:11>
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