#7711: integral() does not reduce coefficients in finite field
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Reporter: zimmerma | Owner: malb
Type: defect | Status: positive_review
Priority: major | Milestone:
sage-duplicate/invalid/wontfix
Component: commutative algebra | Resolution:
Keywords: rd2 | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by dsm):
I don't agree that this has been fixed. In 5.0.beta8, I only have to go
up to the next prime:
{{{
sage: def f(N):
....: P.<x,z> = PolynomialRing(GF(N))
....: Q.<y> = PolynomialRing(P)
....: p=x+y+z
....: return p.integral()
....:
sage: N = 2147483647
sage: f(N)
-1073741823*y^2 + (x + z)*y
sage: N = next_prime(N)
sage: N
2147483659
sage: f(N)
1/2*y^2 + (x + z)*y
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7711#comment:6>
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