On Sat, Aug 22, 2009 at 3:34 AM, Minh Nguyen <nguyenmi...@gmail.com> wrote:

>
> Hi folks,
>
> The patch trac_6396-deg1primes.patch at ticket #6396 has this docstring:
>
>        201             We test that #6396 is fixed. Note that the doctest
> is
> flagged as random
>        202             since the string representation of ideals is
> somewhat
> unpredictable.::
>        203
>        204                 sage: N.<a,b> = NumberField([x^2 + 1, x^2 - 5])
>        205                 sage: ids = N.primes_of_degree_one_list(10); a #
> random
>        206                 [Fractional ideal ((-1/2*b + 1/2)*a + 2),
>        207                  Fractional ideal (-b*a + 1/2*b + 1/2),
>        208                  Fractional ideal ((1/2*b + 3/2)*a - b),
>        209                  Fractional ideal ((-1/2*b - 3/2)*a + b - 1),
>        210                  Fractional ideal (-b*a - b + 1),
>        211                  Fractional ideal (3*a + 1/2*b - 1/2),
>        212                  Fractional ideal ((-3/2*b + 1/2)*a + 1/2*b -
> 1/2),
>        213                  Fractional ideal ((-1/2*b - 5/2)*a - b + 1),
>        214                  Fractional ideal (2*a - 3/2*b - 1/2),
>        215                  Fractional ideal (3*a + 1/2*b + 5/2)]
>
> In particular, note line 205:
>
> sage: ids = N.primes_of_degree_one_list(10); a # random
>
> which the docstring flags as random. But I think the "a" on that line
> is a typo, because with Sage 4.1.1 this is what I get:


I agree that it is a typo.


>
>
> sage: N.<a,b> = NumberField([x^2 + 1, x^2 - 5])
> sage: ids = N.primes_of_degree_one_list(10)
> sage: ids
> [Fractional ideal (2*a + 1/2*b - 1/2),
>  Fractional ideal ((-1/2*b - 1/2)*a - b),
>  Fractional ideal (b*a + 1/2*b + 3/2),
>  Fractional ideal ((-1/2*b - 3/2)*a + b - 1),
>  Fractional ideal ((-b + 1)*a + b),
>  Fractional ideal (3*a + 1/2*b - 1/2),
>  Fractional ideal ((1/2*b - 1/2)*a + 3/2*b - 1/2),
>  Fractional ideal ((-1/2*b - 5/2)*a - b + 1),
>  Fractional ideal (2*a - 3/2*b - 1/2),
>  Fractional ideal (3*a + 1/2*b + 5/2)]
>
> That is, I replaced the "a" with "ids".
>
> --
> Regards
> Minh Van Nguyen
>
> >
>


-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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