#11456: Make the Magma interface able to convert number field elements from
Magma
to Sage
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Reporter: mstreng | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.7.1
Component: interfaces | Keywords: magma interface number field
element convert
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by nbruin):
Beware that number fields in Magma can have bases that are not power
bases:
{{{
> K<a,b>:=NumberField([x^2-2,x^2-3]:Abs);
> Sqrt(K!6);
-a*b
> Eltseq(Sqrt(K!6));
[ 0, 0, 0, -1 ]
> OK:=LLL(IntegerRing(K));
> L:=FieldOfFractions(OK); //this uses the basis of OK
> Eltseq(Sqrt(L!6));
[ 0, 1, 2, 0 ]
}}}
Number fields can be relative too, but that is the same in Pari.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11456#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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