#20184: Comparison of number field elements embedded into RIF fails
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Reporter: mkoeppe | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.1
Component: number fields | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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This is a follow-up on #17830, which made this possible:
{{{
sage: x = polygen(ZZ)
sage: K.<cbrt2> = NumberField(x^3 - 2, embedding=AA.polynomial_root(x^3-2,
RIF(0,3)))
sage: 6064/4813 < cbrt2 < 90325/71691
True
}}}
However, if I embed into a RIF instead, the same test fails.
{{{
sage: x = polygen(ZZ)
sage: K.<cbrt2> = NumberField(x^3 - 2,
embedding=RIF(AA.polynomial_root(x^3-2, RIF(0,3))))
sage: 6064/4813 < cbrt2 < 90325/71691
False
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/20184>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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