Updates:
Summary: root of negative number in denominator
Comment #1 on issue 1538 by smichr: root of negative number in denominator
http://code.google.com/p/sympy/issues/detail?id=1538
You can see the problem perhaps more clearly from this:
>>> s=S(1)/6
>>> 1/(-1)**s
-(-1)**(5/6) #that's right
>>> 1/(-2)**s #but wrong when it's not a clean 1 or exact nth
>>> root
(-1)**(1/6)*2**(5/6)/2
>>> _.evalf() #it's wrong, the imaginary part should be
>>> negative;
0.771540922108526 + 0.44544935907017*I
>>> (-(-1)**(5*s)*2**(5*s)/2).evalf() #as you can see
0.771540922108526 - 0.44544935907017*I
/c
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