#8558: Make gcd use pari for univariate polynomial rings over number fields
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Reporter: lftabera | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.3.4
Component: algebra | Keywords: gcd, pari, number field
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Question arised here,
http://groups.google.com/group/sage-
devel/browse_thread/thread/0f5b029970e1a4e2/fcec7d0e35474fbd#fcec7d0e35474fbd
univariate gcd is performed using euclidean algorithm, which causes
explosion of coefficients and is slow but for trivial examples. Instead we
should use pari that performs better.
1.- Add a _pari_ function for absolute number fields taht work[[BR]]
2.- Add gcd using pari for absolute number fields[[BR]]
3.- For relative number fields, pass to an absolute representation. This
may be slow. But for the cases where this is slow the current
implementation may be unfeasible.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8558>
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