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:

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

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