#16222: Faster exactification using numeric minpoly
-------------------------------------+-------------------------------------
Reporter: gagern | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: Martin von Gagern | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/16222 | 8773468739544ed9f12b836c7f28a06be37ffd94
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):
* commit: 96942f09ea8a9cddf2b2dc8fece352935ddfe3b2 =>
8773468739544ed9f12b836c7f28a06be37ffd94
* branch: u/gagern/ticket/16222 => u/vdelecroix/16222
Comment:
Hello,
It's a pity that we got `None` in
{{{
sage: AA(2).sqrt()._descr.quick_symbolic()
}}}
I added a new commit to handle that.
On the other hand, did you know that the symbolic ring is '''very'''
broken to deal with n-th root
{{{
sage: a = (-1)^(1/3)
sage: a.n()
0.500000000000000 + 0.866025403784439*I
sage: a**2
1
}}}
As `bool(I^(2/3) == (-1)^(1/3))` is `True` we might get into troubles with
subtle examples. I am '''very''' worried by that.
Vincent
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=8773468739544ed9f12b836c7f28a06be37ffd94
8773468]||{{{Trac 16222: support quick symbolic for roots of x^n -a}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/16222#comment:21>
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 unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
