#11455: Add algorithm Magma to Conic methods
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Reporter: mstreng | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.0
Component: algebraic geometry | Keywords: magma conic
Work_issues: | Upstream: N/A
Reviewer: | Author: Marco Streng
Merged: | Dependencies: #10621, #11454, #11456
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Changes (by mstreng):
* status: needs_review => needs_work
Old description:
> This patch adds the option algorithm='magma' to (has_)rational_point for
> conics.
>
> #12154 is required for making all optional Magma doctests pass (even an
> unpatched Sage currently has failing optional Magma doctests)
New description:
This patch adds the option algorithm='magma' to (has_)rational_point for
conics.
Some optional magma doctests fail on current Sage. This is unrelated to
this ticket, and is fixed by #12154.
--
Comment:
Something is wrong, in 5.0.prealpha1, I get
{{{
sage: K.<i> = QuadraticField(-1)
sage: C = Conic(K,[1,1,1])
sage: C.rational_point(algorithm='magma')
NotImplementedError: No correct conversion implemented for converting the
Magma point (-i : 1 : 0) on Conic over Number Field with defining
polynomial t^2 + 1 over the Rational Field defined by
X^2 + Y^2 + Z^2 to a correct Sage point on self (=Projective Conic Curve
over Number Field in i with defining polynomial x^2 + 1 defined by x^2 +
y^2 + z^2)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11455#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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