#18831: Hyperelliptic point counting various methods disagree
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Reporter: | Owner:
katestange | Status: new
Type: defect | Milestone: sage-6.8
Priority: minor | Keywords: hyperelliptic curves, point
Component: number | counting
theory | Authors:
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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Various methods of point counts on a hyperelliptic curve produce a result
but disagree.
{{{#!python
R.<t> = PolynomialRing(GF(11))
H = HyperellipticCurve(t^5 -t + 1)
print H.count_points()
print H.count_points_exhaustive()
print H.count_points_frobenius_polynomial()
print H.count_points_matrix_traces()
}}}
Output:
{{{
[8]
[19]
[19]
[8]
}}}
This is reproducible in the single cell sage server and sagecloud.
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Ticket URL: <http://trac.sagemath.org/ticket/18831>
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