#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 pbruin):
It seems this is caused by the `PolynomialRing` constructor not
distinguishing between relative number fields with different defining
polynomials, but with the same ''absolute'' polynomials and the same
variable names:
{{{
sage: F.<omega> = NumberField(x^2 + x + 1)
sage: y = polygen(F)
sage: K = F.extension(y^3 + 3*omega + 2, 'alpha')
sage: L = F.extension(y^3 - 3*omega - 1, 'alpha')
sage: K is L
False
sage: K.absolute_polynomial() == L.absolute_polynomial()
True
sage: K['x'] is L['x']
True
}}}
I found this ticket via [https://groups.google.com/forum/#!topic/sage-
nt/NM7bbCgefdo this sage-nt discussion] and suspect the above problem is
the cause of both bugs.
--
Ticket URL: <http://trac.sagemath.org/ticket/18942#comment:1>
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