#4218: [with patch, with positive review] Extensions of Finite Fields don't work
well
---------------------+------------------------------------------------------
Reporter: justin | Owner: AlexGhitza
Type: defect | Status: assigned
Priority: major | Milestone: sage-3.4
Component: algebra | Resolution:
Keywords: |
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Changes (by cremona):
* summary: [with patch, needs review] Extensions of Finite Fields don't
work well => [with patch, with positive review]
Extensions of Finite Fields don't work well
Comment:
Positive review. Patch applies cleanly to 3.2.2 and doctests in
sage/rings/polynomial pass.
I did notice while testing that this does not work:
{{{
sage: R.<x>=ZZ[]
sage: S=ZZ.extension(x^3-2,'a')
sage: S.order()
---------------------------------------------------------------------------
NotImplementedError
}}}
and also that {{{S.random_element()}}} gives a random integer (I think).
Another ticket perhaps?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4218#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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