#17329: sage-6.4.rc1 (and earlier) crashes when evaluating 
zeta(CDF(-151.386325246
+ 992.34771962*I))
---------------------------------+------------------------
       Reporter:  was            |        Owner:
           Type:  defect         |       Status:  new
       Priority:  critical       |    Milestone:  sage-6.4
      Component:  number theory  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
---------------------------------+------------------------

Comment (by was):

 This was found by Austin Tran, who reported
 {{{
 f(z)=zeta(z^2)
 complex_plot(f,(-10,10),(-10,10),axes=False,figsize=[10,10],plot_points=1000)
 }}}
 which workes fine, but the same expression with zeta(z^3) instead returned
 the given error.  In particular,

 {{{
 f(z)=zeta(z^3)
 complex_plot(f,(-10,10),(-10,10),axes=False,figsize=[10,10],plot_points=1000)
 }}}

 gives an error.   I tried doing this:

 {{{

 m=0
 def f(z):
     global m
     m = z
     return zeta(z^3)

 complex_plot(f,(-10,10),(-10,10),axes=False,figsize=[3,3],plot_points=100)
 }}}

 and found that the problem was caused when z = 0.505050505051 - 10.0*I.
 I then tried explicitly computing zeta(z^3) and got the core dump.

--
Ticket URL: <http://trac.sagemath.org/ticket/17329#comment:1>
Sage <http://www.sagemath.org>
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