#15535: LinBox: you are running out of primes. 1000 coprime primes found
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       Reporter:  vbraun          |        Owner:
           Type:  defect          |       Status:  new
       Priority:  major           |    Milestone:  sage-6.4
      Component:  linear algebra  |   Resolution:
       Keywords:  random_fail     |    Merged in:
        Authors:                  |    Reviewers:
Report Upstream:  N/A             |  Work issues:
         Branch:                  |       Commit:
   Dependencies:                  |     Stopgaps:
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Comment (by roed):

 I ran into this issue on Sage 6.4.1 trying to compute characteristic
 polynomials.  I was computing the characteristic polynomial of hundreds of
 thousands of 3x3, 4x4, ..., 8x8 integer matrices, and at some point I got
 the following:

 sage: A = matrix(ZZ, 4, 4, [50528, 38927, 19455, 31617, 58686, 39770,
 31059, 21905, 13382, 35615, 18158, 11629, 25923, 12324, 51823, 27000])
 sage: A.charpoly()
 you are running out of primes. 1000 coprime primes found
 1
 sage: B = copy(A); B.charpoly()
 x^4 - 135456*x^3 + 1234244249*x^2 + 17242461420805*x - 995535814473032365

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Ticket URL: <http://trac.sagemath.org/ticket/15535#comment:8>
Sage <http://www.sagemath.org>
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