#9407: fixed fields for dirichlet characters and conductors and dirichlet
characters for abelian fields
-----------------------------------------------------------+----------------
Reporter: wuthrich | Owner:
davidloeffler
Type: enhancement | Status:
needs_work
Priority: minor | Milestone:
sage-4.6.1
Component: number fields | Keywords:
Dirichlet characters, abelian fields, class field theory
Author: Michael Daub, John Bergdall, Chris Wuthrich | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
-----------------------------------------------------------+----------------
Comment(by wuthrich):
> #9400 is now merged: does that help?
Maybe, I did not think about it.
> How hard is it to get the 2-part of the conductor? If it is really
hard, why not just honestly return the odd part (and change the name, or
something)?
I don't know. Right now it give the right thing quite frequently, but not
always. I would have to think harder to see if one can put the 2-part in
as well. I won't do that, I fear.
> I am a bit worried about the 53-bit precision used to compute the
polynomials. Do you now that it always enough (surely not!), or is that
wishful thinking? Is it much too slow to use the appropriate cyclotomic
field?
It is really very very slow with cyclotomic fields. To be honest, I do not
think anyone wants to construct a field of the size that would require
higher precision in this computation. But that is not an argument to
improve this.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9407#comment:4>
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.
