#11876: Subfields should store embedding
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Reporter: jdemeyer | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.2
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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If `K` is a number field with a given embedding, then `K.subfield(gen)`
should inherit that embedding but it does not::
{{{
sage: K.<a> = NumberField(x^2-5, embedding=2)
sage: L, phi = K.subfield(-a)
sage: K.specified_complex_embedding()
Generic morphism:
From: Number Field in a with defining polynomial x^2 - 5
To: Real Lazy Field
Defn: a -> 2.236067977499790?
sage: L.specified_complex_embedding()
}}}
Also, if `K` has no given embedding, then `L` could at least store an
embedding in `K`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11876>
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