#15053: Number fields think they can embed into finite fields
-----------------------------+-------------------------------------------
Reporter: robharron | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-5.12
Component: number fields | Keywords: NumberField, embeddings
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The embeddings function for number fields just checks for roots in the
argument. For example:
{{{
sage: K = NumberField(x^3-2, 'a')
sage: K.embeddings(GF(3))
[
Ring morphism:
From: Number Field in a with defining polynomial x^3 - 2
To: Finite Field of size 3
Defn: a |--> 2
]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15053>
Sage <http://www.sagemath.org>
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