#16773: Analytic Rank Bound
-------------------------------------+-------------------------------------
       Reporter:  spice              |        Owner:  spice
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.5
      Component:  elliptic curves    |   Resolution:
       Keywords:  elliptic curves,   |    Merged in:
  analytic rank, l-functions         |    Reviewers:  William Stein
        Authors:  Simon Spicer       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  4d5bbec0ebddce3b202d2ab9ff84463ecfdea094
  u/spice/analytic_rank_bound        |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by vbraun):

 This happens randomly, too:
 {{{
 sage -t --long src/sage/schemes/elliptic_curves/ell_rational_field.py
 **********************************************************************
 File "src/sage/schemes/elliptic_curves/ell_rational_field.py", line 1665,
 in
 sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field.?
 Failed example:
     Z.analytic_rank_upper_bound(max_Delta=2.8,adaptive=False, # long time
     root_number="ignore",bad_primes=bad_primes)               # long time
 Exception raised:
     Traceback (most recent call last):
       File
 "/scratch/buildbot/sage/redhawk-1/sage_git/build/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 488, in _run
         self.compile_and_execute(example, compiler, test.globs)
       File
 "/scratch/buildbot/sage/redhawk-1/sage_git/build/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 850, in compile_and_execute
         exec(compiled, globs)
       File "<doctest
 
sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field.?[26]>",
 line 2, in <module>
         root_number="ignore",bad_primes=bad_primes)               # long
 time
       File "sage/lfunctions/zero_sums.pyx", line 1728, in
 
sage.lfunctions.zero_sums.LFunctionZeroSum_EllipticCurve.analytic_rank_upper_bound
 (build/cythonized/sage/lfunctions/zero_sums.c:13597)
         return run_computation(max_Delta)
       File "sage/lfunctions/zero_sums.pyx", line 1673, in
 
sage.lfunctions.zero_sums.LFunctionZeroSum_EllipticCurve.analytic_rank_upper_bound.run_computation
 (build/cythonized/sage/lfunctions/zero_sums.c:12682)
         bound = self._zerosum_sincsquared_parallel(Delta=Delta,
       File "sage/lfunctions/zero_sums.pyx", line 1453, in
 
sage.lfunctions.zero_sums.LFunctionZeroSum_EllipticCurve._zerosum_sincsquared_parallel
 (build/cythonized/sage/lfunctions/zero_sums.c:12269)
         y += summand[1]
     TypeError: unsupported operand type(s) for +=: 'float' and 'NoneType'
 **********************************************************************
 1 item had failures:
    1 of  94 in
 sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field.?
     [815 tests, 1 failure, 216.40 s]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16773#comment:42>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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