#17695: Slightly fasten is_cyclotomic()
-------------------------------------+-------------------------------------
Reporter: bruno | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.5
Component: number theory | Resolution:
Keywords: cyclotomic | Merged in:
polynomials | Reviewers:
Authors: Bruno Grenet | Work issues:
Report Upstream: N/A | Commit:
Branch: | f79eeaaa630b1bd966a25a2f7b0f7a5f1dda3378
u/bruno/slightly_fasten_is_cyclotomic__| Stopgaps:
Dependencies: |
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Comment (by vdelecroix):
Replying to [comment:7 chapoton]:
> A side remark:
>
> I would like to have a certificate (something like : this is the
cyclotomic polynomial Phi_20)
>
> Is this allowed by the pari function ?
Of course ;-) From pari documentation
{{{
poliscyclo(f): returns 0 if f is not a cyclotomic polynomial,
and n > 0 if f = Phi_n, the n-th cyclotomic polynomial.
}}}
and you can already test it
{{{
sage: R.<x> = ZZ[]
sage: (x^2+x+1)._gp_().poliscyclo()
3
sage: (x^2-1)._gp_().poliscyclo()
0
}}}
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/17695#comment:8>
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