#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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Comment(by mstreng):
Replying to [comment:6 mstreng]:
> Something is wrong
Here's the reason:
{{{
sage: K = QuadraticField(-1, 'i')
sage: L = NumberField(x^2+1, 'i')
sage: magma(K.gen()).sage() in K
False
sage: magma(K.gen()).sage() in L
True
sage: magma(L.gen()).sage() in K
False
sage: magma(L.gen()).sage() in L
True
sage: magma(L.gen()).sage() == magma(K.gen()).sage()
True
}}}
A field loses its embeddings when converted to Magma and back. A new patch
is coming up.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11455#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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