#17695: Slightly fasten is_cyclotomic()
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       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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Changes (by bruno):

 * keywords:   => cyclotomic polynomials
 * commit:   => f79eeaaa630b1bd966a25a2f7b0f7a5f1dda3378
 * status:  new => needs_review


Old description:

> In `src/sage/rings/polynomial/polynomial_element.pyx`, the method
> `is_cyclotomic()` begins with checking the irreducibility of the input
> polynomial, and then checks the leading and constant coefficients. I
> simply propose to invert those tests to fasten a bit the test for
> polynomials that are not monic or whose constant coefficient is not `1`.

New description:

 In `src/sage/rings/polynomial/polynomial_element.pyx`, the method
 `is_cyclotomic()` begins by checking the irreducibility of the input
 polynomial, and then checks the leading and constant coefficients. I
 simply propose to invert those tests to fasten a bit the test for
 polynomials that are not monic or whose constant coefficient is not `1`.

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Ticket URL: <http://trac.sagemath.org/ticket/17695#comment:2>
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