#7931: Improved nth root for finite fields and integer_mods
-------------------------------+--------------------------------------------
Reporter: roed | Owner: roed
Type: enhancement | Status: needs_work
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 zimmerma):
* status: needs_review => needs_work
Comment:
I managed to apply the patches following comment 21, however the following
seems incorrect to me:
{{{
sage: b=Integers(3)(2)
sage: b.nth_root(2)
1
}}}
whereas in say Sage 4.4.4 we got {{{ValueError: no nth root}}}.
PS: I used the following reviewer program. Feel free to add it to the
doctests.
{{{
for n in range(2,100):
K=Integers(n)
for e in range(1,100):
for a in range(1,n):
b = K(a)
r = b.nth_root(e)
if r^e <> b:
print n, e, a
raise ValueError
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7931#comment:22>
Sage <http://www.sagemath.org>
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