#15276: Translation problem between Sage and Gap for cyclotomic field
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Reporter: vincent.beck | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: algebra | Resolution:
Keywords: CyclotomicField | Merged in:
Authors: Vincent Beck | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Old description:
> Something strange is happening with the command CyclotomicField and the
> order of the associated generator. Everything works very well for n which
> is different from 2 mod 4 but does not work for n =2 mod 4 as seen in the
> following lines.
>
> {{{sage: k.<s>=CyclotomicField(7)
>
> sage: gap(s)
>
> E(7)
>
> sage: k(_)
>
> s
>
> sage: k.<s>=CyclotomicField (6)
>
> sage: gap(s)
>
> E(3)
>
> sage: k(gap(s)) s - 1
>
> }}}
New description:
Something strange is happening with the command CyclotomicField and the
order of the associated generator. Everything works very well for n which
is different from 2 mod 4 but does not work for n =2 mod 4 as seen in the
following lines.
{{{
sage: k.<s>=CyclotomicField(7)
sage: gap(s)
E(7)
sage: k(_)
s
sage: k.<s>=CyclotomicField(6)
sage: gap(s)
E(3)
sage: k(_)
s - 1
}}}
--
Comment (by vdelecroix):
better presentation.
--
Ticket URL: <http://trac.sagemath.org/ticket/15276#comment:3>
Sage <http://www.sagemath.org>
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