#9423: Gap interface for number fields
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Reporter: SimonKing | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-4.5
Component: interfaces | Keywords: gap interface number field
Author: Simon King | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Originally motivated by work on #5618, I found two bugs in the Gap
interface for number fields, reported [http://groups.google.com/group
/sage-devel/browse_thread/thread/6518e7f30c02e534 here].
#8909 has a positive review and seems partially relevant here, so, I
started work with the patch from #8909 applied.
With the new patch, the following works (and is doctested):
{{{
sage: L.<tau> = NumberField(x^3-2)
sage: gap(tau)^3 # note the exclamation mark used by GAP
!2
sage: L(gap(tau)^3) # this used to fail
2
}}}
{{{
sage: P.<z> = QQ[] # Note: The var'name is z, not x
sage: K.<zeta> = NumberField(z^2 - 2)
sage: k = gap(K) # this used to fail, as only var'name x was accepted
}}}
Fixing the second problem, it is needed to avoid a conflict with an
internal variable name of a GAP function, namely "E". This tests that the
conflict is indeed avoided:
{{{
sage: P.<E> = QQ[]
sage: L.<tau> = NumberField(E^3-2)
sage: gap(L)
<algebraic extension over the Rationals of degree 3>
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9423>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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