Test for fatou.gp

[Ember Edison]

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.

Please watch P2-1-2. Why have the line in 0<b<1? Is this normal? And why good-region in 1<b<eta is quite smaller than 0<b<1?

A big problem (program crash) will happen in 

Code:

matrix_ir(1E9,,,19/20);sexp(1)

I am researching this base:

Code:

matrix_ir(1+1E-5*I,400,250,0.999,0.999)
matrix_ir(1+1E-5,400,250,0.99,0.99)

You can see displacement in these carzy base: 

Code:

matrix_ir(-1E-8,600,250,14/15,45/46)
matrix_ir(-1E-9,600,250,14/15,45/46)
matrix_ir(-1E-10,600,250,14/15,45/46)
matrix_ir(-1E-15,600,250,0.9999,0.9999)
matrix_ir(-1E-16+I*1E-46,600,250,0.99,0.99)
matrix_ir(-1E-17,600,250,0.99,0.99)
matrix_ir(1E-17+I*1E-47,600,250,0.99,0.99)
matrix_ir(1E-16+I*1E-46,600,250,0.98,0.98)
matrix_ir(1E-15+I*1E-45,600,250,0.975,0.975)
matrix_ir(1E-10,600,250,14/15,45/46)
matrix_ir(1E-9+I*1E-39,600,250,14/15,45/46)
matrix_ir(1E-8+I*1E-38,600,250,14/15,45/46)
matrix_ir(1E-7+I*1E-37,600,250,14/15,45/46)
matrix_ir(1E-6+I*1E-36,600,250,14/15,45/46)

And mabey you can fix this:

Code:

matrix_ir(1E-17*(-1)^(28/30),600,250,0.975,0.975)
matrix_ir(1E-17*(-1)^(27/30),600,250,0.97,0.97)
matrix_ir(1E-17*(-1)^(24/30),600,250,0.969,0.969)