Test for fatou.gp

[sheldonison]

Thanks Ember; cool plots.  Do you have any suggested enhancements that help with any of these boundary conditions?  I don't have any additional enhancements to improve convergence near the singularities at 0, 1, exp(1/e)

Alternatively, give me one base that might interest you the most if it worked, and what settings you used, and I can see what the problem is for that base.