#252: Make number fields work when polynomial not integral or not monic.
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Reporter: was | Owner: davidloeffler
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: Peter Bruin | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/pbruin/252-number_fields | d1227146064d0e4ebcaf313f6eeec5c70713dde3
Dependencies: #18740 | Stopgaps:
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Comment (by pbruin):
The underlying problem seems to be converting PARI ideals in Hilbert
normal form to Sage ideals:
{{{
sage: F.<a> = NumberField(2*x^3+x+1)
sage: Fp = F.pari_nf()
sage: I = F.ideal(2)
sage: Ip = I.pari_hnf()
sage: fact = Fp.idealfactor(Ip)
sage: Jp = fact[0, 0]
sage: Fp.idealnorm(Jp)
2
sage: J = F.ideal(Jp)
sage: J.norm()
1/2 # should be 2, like Fp.idealnorm(Jp)
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/252#comment:29>
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