This again:

sympy.summation(sympy.S('z^k / k'), sympy.S('(k, 1, oo)'))
Piecewise((-log(1 - z), (z >= -1) & (z < 1)), (Sum(z**k/k, (k, 1, oo)), 
True))

I don't know what ">=" and mean "<", since Sympy (a program about math) was 
documented by a non-mathematician who neglected to define his mathematical 
terms; but it looks a lot like Sympy is singling out a segment of the real 
line instead of a disk in the complex plane. This program was designed from 
the ground up by amateurs not up to the task.

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