#18103: cleanup number fields coerce embeddings
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: number fields | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently, the default coerce embedding uses RLF (or CLF) but heavily
relies on AA (or QQbar). It is bad for several reasons:
- there is no coercion from RLF to AA
- equality and comparisons in RLF are completely broken (because it
relies on finite approximations)
{{{
sage: K.<cbrt3> = NumberField(x^3 - 3, embedding=1)
sage: b=(1+RLF(cbrt3))/2
sage: c=1/2 + 3/2*(RLF(cbrt3)/3)
sage: b == c
False
}}}
In this ticket we get rid of RLF/CLF for number field embeddings.
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Ticket URL: <http://trac.sagemath.org/ticket/18103>
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