#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 robertwb):
Replying to [comment:153 nthiery]:
> Hi Robert,
>
> Replying to [comment:151 robertwb]:
> > * Any reason not to inherit from Field?
>
> I told him to :-)
>
> We want to move away from the static class hierarchy (Monoid, Field,
> ...) when there is not a strong compelling reason to use it (i.e. it
> makes a difference speed wise, e.g. for element arithmetic), since
> that duplicates the far more flexible category hierarchy.
+1 to this. Then why is is_Field not obtained by default? I think there's
performance benefit in moving to Ring at least, for multiplication (but
I'd have to check that this is still the case).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:154>
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