#18518: Fix Polynomial.denominator() for high-degree polynomials
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Reporter: bruno | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: commutative algebra | Keywords: polynomial
Merged in: | Authors: Bruno Grenet
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently, the method `Polynomial.denominator` does not work with very
high-degree (sparse) polynomial:
{{{
sage: R.<x> = PolynomialRing(QQ, sparse=True)
sage: p = x^(2^100) - 1/2
sage: p.denominator()
Traceback (most recent call last):
...
OverflowError: cannot fit 'long' into an index-sized integer
}}}
This comes from the method using `self.list()` instead of
`self.coefficients()`. I correct this and obtain:
{{{
sage: R.<x> = PolynomialRing(QQ, sparse=True)
sage: p = x^(2^100) - 1/2
sage: p.denominator()
2
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/18518>
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