#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, #13734, #13735 | Stopgaps:
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Comment (by chapoton):
let me start with a few simple remarks
- why are we changing the import of hecke_modules in this patch ?
- the doc of prime_subfield has a mistake : ZZ should be QQ
- in from_dict, only one parameter is documented
- the docs of _eq_ and _ne_ are strange, and look like a copy and paste
- is_unit should be removed, as already implemented in the class of Field
elements
- it would be worth adding some of the methods of QQbar elements : minpoly
and abs maybe
- maybe consider a coercion of real elements to the field AA ?
- somewhere near the beginning of the doc, it should be explained the
following important points
1 the field UCF is contained in the complex field
2 how to coerce z to QQbar : QQbar(z)
3 how to coerce z to the minimal cyclotomic field containing it :
z.to_cyclotomic_field()
That's all for today.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:115>
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