#9400: modify the NumberField constructor to pass in optional integer B such
that
all the internal pari routines will replace the discriminant by its gcd
with B, making some things massively faster.
-----------------------------+----------------------------------------------
Reporter: was | Owner: davidloeffler
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6
Component: number fields | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by jdemeyer):
* milestone: sage-4.5.3 => sage-4.6
Comment:
Always using {{{gens()}}} for printing is also silly, because for larger
degrees you can get something like:
{{{
sage: x=polygen(QQ); K.<a> = NumberField(x^8+x-1);
sage: J1 = K.ideal(a+1); J2 = K.ideal(a+2); J = J1.intersection(J2)
sage: J
Fractional ideal (a^2 + 249, -a^7 + 125, a + 2, a^3 + 8, a^4 + 237, -a^7 -
a^6 + 189, a^7 + a^6 + a^5 + 96, 253)
}}}
In my opinion, the best way would be to use {{{idealtwoelt()}}} for large
discriminants instead of simply printing all generators (or alternatively:
reduce the generators using {{{idealtwoelt()}}} in {{{__init__}}}).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9400#comment:14>
Sage <http://www.sagemath.org>
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