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  • $\begingroup$ Are you sure about the last component? The function depends only on z, and the z component of the curl contains derivatives in the other two coordinates ... I guess you didn't correct the third component after @ruebenko comment $\endgroup$ Commented Sep 6, 2012 at 17:21
  • $\begingroup$ @Verde Whoops, you're right! Let me fix that. $\endgroup$ Commented Sep 6, 2012 at 17:35