#2329: add interface to Pari's rnfisnorm
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Reporter: craigcitro | Owner: craigcitro
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6.1
Component: number fields | Keywords: editor_craigcitro
Author: Craig Citro, Marco Streng | Upstream: N/A
Reviewer: Nick Alexander, David Loeffler | Merged:
Work_issues: |
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Comment(by fwclarke):
There remain several problems for relative extensions. In particular, the
function
`sage.rings.number_field.number_field_rel.NumberField_relative.is_galois_relative`
cannot be relied on at present (4.6.1.alpha3):
{{{
sage: K.<w> = NumberField(x^2 + x + 1)
sage: L.<a> = K.extension(x^3 - 2)
sage: L.is_galois_relative()
False
}}}
But
{{{
sage: L.is_galois_absolute()
True
}}}
and indeed
{{{
sage: len([g for g in End(L) if g(w) == w]) == L.relative_degree()
True
}}}
I will post a patch for this in the next couple of days, and suggest other
changes to improve the behaviour of `is_norm` with relative extensions.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2329#comment:28>
Sage <http://www.sagemath.org>
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