#9408: relativize in number fields is broken
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Reporter: lftabera | Owner: davidloeffler
Type: defect | Status: positive_review
Priority: major | Milestone:
sage-duplicate/invalid/wontfix
Component: number fields | Keywords: relativize
Work_issues: | Upstream: N/A
Reviewer: Luis Felipe Tabera Alonso | Author:
Merged: | Dependencies: #252
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Changes (by jdemeyer):
* status: needs_review => positive_review
* reviewer: => Luis Felipe Tabera Alonso
* dependencies: => #252
* milestone: sage-4.7.2 => sage-duplicate/invalid/wontfix
Old description:
> Does not work due to (maybe) denominators
>
> {{{
> sage: K.<a> = NumberField(x^4-4*x^3+12*x^2-16*x+8)
> sage: L.<u,v> = K.relativize(3*a**3 - 9*a**2 + 24*a -16)
> sage:#This seems OK
> sage: L2.<u2,v2> = K.relativize((3/4)*a**3 - (9/4)*a**2 + 6*a -4)
> }}}
> PariError: (8)
>
> Simpler example
>
> {{{
> sage: L.<a,b> = QQ[i].relativize(1) #Ok
> sage: L.<a,b> = QQ[i].relativize(1/2) #PariError
> }}}
New description:
Does not work due to denominators:
{{{
sage: K.<a> = NumberField(x^4-4*x^3+12*x^2-16*x+8)
sage: L.<u,v> = K.relativize(3*a**3 - 9*a**2 + 24*a -16) # OK
sage: L2.<u2,v2> = K.relativize((3/4)*a**3 - (9/4)*a**2 + 6*a -4)
}}}
Simpler example:
{{{
sage: L.<a,b> = QQ[i].relativize(1) # OK
sage: L.<a,b> = QQ[i].relativize(1/2)
...
TypeError: Unable to coerce number field defined by non-integral
polynomial to PARI.
}}}
This is in some sense a duplicate of #252.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9408#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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