#17598: fixed-mod p-adic integers as polynomial roots
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Reporter: gagern | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.5
Component: padics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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I think the following should not return an empty list:
{{{
sage: cyclotomic_polynomial(3).roots(Zp(739, 566, type="fixed-mod"))
[]
}}}
The problem appears to be specific to the `fixed-mod` type. For `capped-
rel` and `capped-abs`, two roots are found as expected. So if there is no
more elegant solution, one could always compute the result in the `capped-
abs` field and then cast to `fixed-mod`.
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Ticket URL: <http://trac.sagemath.org/ticket/17598>
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