#7931: Improved nth root for finite fields and integer_mods
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Reporter: roed | Owner: roed
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6
Component: algebra | Keywords: finite fields, nth root
Author: David Roe | Upstream: N/A
Reviewer: Paul Zimmermann | Merged:
Work_issues: |
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Changes (by roed):
* status: needs_work => needs_review
Comment:
You've found a bug in crt: it claims to work as long as the moduli are
relatively prime, but in fact would often fail if one of them was 1. I
fixed that and clarified the behavior of `nth_root` when `n<=0` (it either
returns the empty list or raises a `ValueError`, depending on the value of
`all`; `mod(1,n).nth_root(0)` returns the list of all nonzero elements
modulo n).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7931#comment:29>
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