#8327: Implement the universal cyclotomic field, using Zumbroich basis
-----------------------------------------------------+----------------------
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:
-----------------------------------------------------+----------------------
Comment (by stumpc5):
Replying to [comment:117 chapoton]:
> I do not understand : if one look at Ticket #13728, the method is_unit
does check that an element is not zero !
That's right, but even though UCF knows that it is a field, its elements
do not know that they are field elements. Do you happen to know how to
solve that?
> Well, I do not know. The point is that we can currently use QQbar(z) for
z in UCF. I wonder wether one could do AA(z) for z in UCF and real,
because AA is just the set of real elements of QQbar. But maybe I do not
understand something..
(I thought you meant the other way round...) It was easy to implement the
conversion to QQ and ZZ, and to set the coercion to QQbar. But I don't
quite know how to do conversion to AA.
{{{
sage: AA(QQbar(x))
0.618033988749895?
}}}
works, but one currently has to pass through QQbar.
> Yes, But I rather meant the mathematical point : the field is defined as
an embedded field, not as an abstract field..
Okay, I will add a sentence in the beginning.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:118>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
