#11782: Bug in discriminant of polynomials over Z/nZ with n composite
---------------------------+------------------------------------------------
Reporter: johanbosman | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.2
Component: algebra | Keywords: polynomial, discriminant, integer
mod ring
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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The following behaviour is inconsistent:
{{{
sage: f = ZZ[x](2*x^3 + x^2 + x)
sage: f.discriminant()
-7
sage: GF(3)[x](f).discriminant()
2
sage: ZZ.quo(9)[x](f).discriminant()
0
}}}
And the following raises an error:
{{{
sage: ZZ.quo(9)[x](3*x^2 + 3*x + 3).discriminant()
...
ZeroDivisionError: Inverse does not exist.
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11782>
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