#18942: Weird bug in roots of a polynomial in relative number field extension
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Reporter: robharron | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: number fields | Resolution:
Keywords: Relative number field, roots | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by kedlaya):
I like this theory, but it seems like it would be more consistent with
this output:
{{{
[(alpha, 1), ((-omega - 1)*alpha, 1), (omega*alpha, 1)]
[]
[(alpha, 1), ((-omega - 1)*alpha, 1), (omega*alpha, 1)]
[]
}}}
where the polynomial ring gets created once and then never changes.
Fortunately (?), this actually is the output that I get trying this on two
different machines running 7.1, starting from an empty session, and on
SMC, currently running 6.10. This behavior appears to be reproducible.
However, I tried a development build I have on SMC (version 7.2beta6),
again from an empty session:
{{{
[(alpha, 1), ((-omega - 1)*alpha, 1), (omega*alpha, 1)]
[(alpha, 1), (omega*alpha, 1), ((-omega - 1)*alpha, 1)]
[(alpha, 1), ((-omega - 1)*alpha, 1), (omega*alpha, 1)]
[]
}}}
This also appears to be reproducible.
--
Ticket URL: <http://trac.sagemath.org/ticket/18942#comment:3>
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