#16268: Better normalization for function field elements
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Reporter: cremona | Owner:
Type: defect | Status: new
Priority: minor | Milestone: sage-6.2
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by emassop):
The normalization would already be much better if {{{PolynomialRing(QQ,
'u')}}} had a 'better' gcd, like the one implemented for QQ in #10771,
which would yield {{{gcd(27*u^2+81*u+243, 27*u-81)==27}}}. However the gcd
from flint in src/sage/rings/polynomial/polynomial_rational_flint.pyx is
monic.
Ku could also figure out that it is also
{{{FractionField(PolynomialRing(ZZ, 'u'))}}}, which has a better reduce.
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Ticket URL: <http://trac.sagemath.org/ticket/16268#comment:1>
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