#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:132 stumpc5]:
> Hi --
>
> I think we are now some big steps forward!
>
> - I took care of everything Fred was asking for, in particular the
partial conversion to {{{AA}}}.
>
> and
>
> - I implemented conversion to the cyclotomic field ! There is still an
issue left, which I cannot take care off. Namely, the embedding of the
cyclotomic field into the complex numbers can be given in the constructor.
But I didn't find a way to capture this embedding to send an element of
the universal cyclotomics into the cyclotomic field AND preserve the
embedding.
Cool!
I guess it's fair if you only provide conversions to-from those cyclotomic
field that use the default embedding.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:134>
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