#17830: Comparison of number field elements dependent of embedding
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: number fields | Keywords:
Merged in: | Authors: Vincent Delecroix
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Comparison of embedded number field elements should be identical to the
comparison of the embedding. In other words, we should have:
{{{
age: x = polygen(ZZ)
sage: K.<cbrt2> = NumberField(x^3 - 2, embedding=AA.polynomial_root(x^3-2,
RIF(0,3)))
sage: 6065/4813 < cbrt2 < 90325/71691
True
}}}
This has been done in #13213 for quadratic number fields. This ticket aims
to implement this for all number fields by storing into the parent a list
of interval approximations of the generator.
--
Ticket URL: <http://trac.sagemath.org/ticket/17830>
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