On Monday, July 2, 2012 10:03:40 AM UTC-4, kcrisman wrote:
>
> sage: pari(3*i).erfc()
> -1.76710569338983 E-16 - 1629.86732385786*I
> sage: mpmath.erfc(3*i)
> mpc(real='1.0', imag='-1629.9946226015657')
> sage: 1-pari(3*i).erfc()
> 1.00000000000000 + 1629.86732385786*I
> sage: mpmath.erf(3*i)
> mpc(real='0.0', imag='1629.9946226015657')
>
> Now, in 5.1.beta6's gp I get
>
> $ Downloads/sage-5.1.beta6/sage -gp
>            GP/PARI CALCULATOR Version 2.5.1 (development git-5c5e253)
>           i386 running darwin (x86-64/GMP-5.0.2 kernel) 64-bit version
>                     compiled: Jun 25 2012, gcc-4.6.3 (GCC) 
>                  (readline v6.2 enabled, extended help enabled)
>
>                      Copyright (C) 2000-2011 The PARI Group
>
> PARI/GP is free software, covered by the GNU General Public License, and 
> comes 
> WITHOUT ANY WARRANTY WHATSOEVER.
>
> Type ? for help, \q to quit.
> Type ?12 for how to get moral (and possibly technical) support.
>
> parisize = 8000000, primelimit = 500509
> ? erfc(3*I)
> %1 = 0.E-35 - 1629.5516567497094550267455532288372861*I
>
> so apparently this is still an issue.  See #11948, which exposed this 
> (didn't exactly *cause* it).
>


Jeff Denny has also found some other issues on the imaginary axis.  I've 
opened http://trac.sagemath.org/sage_trac/ticket/13193 for this, as 
'critical'.

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