#8327: Implement the universal cyclotomic field, using Zumbroich basis
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Reporter: nthiery | Owner:
Type: enhancement | Status:
needs_review
Priority: major | Milestone: sage-5.6
Component: number fields | Resolution:
Keywords: Cyclotomic field, Zumbroich basis | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Christian Stump, Simon King | Merged in:
Dependencies: #13727, #13728 | Stopgaps:
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Comment (by nthiery):
Replying to [comment:128 stumpc5]:
> One more thing: do you also know how to do the same for the cyclotomic
fields ? What I would need is something like
>
> {{{
> SetMorphism(
> Hom(self, CyclotomicField(n), SetsWithPartialMaps()),
> lambda elem: elem.to_cyclotomic_field()
> ).register_as_conversion()
> }}}
>
> The problem is that the parameter {{{n}}} is not determined a priori,
and I want the conversion to exist for any {{{n}}}.
There is no perfect support for this. But I guess you could change the
initializtion of CyclotomicField so that, when the n-th Cyclotomic field F
is constructed, the partial conversion UCF->F is constructed and
registered as a conversion (and possibly the reverse coercion as well).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:131>
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