So that made me curious about isexp_e at 0 (from islog_e developed at 1) and I computed it with 100 x100 instead of 50x50 Carleman matrix. However the result didnt change but rather got worse:
isexp_e 50x50:
isexp_e 100x100:
These are normal conformal plots that show the image of the rectangle [-1,1]x[0,1.40] under isexp_e.
Blue lines: constant imaginary part; orange lines: constant real parts.
The black dot is the fixed point of exp.
So is this an indication of some more singularities of the islog/isexp?
isexp_e 50x50:
isexp_e 100x100:
These are normal conformal plots that show the image of the rectangle [-1,1]x[0,1.40] under isexp_e.
Blue lines: constant imaginary part; orange lines: constant real parts.
The black dot is the fixed point of exp.
So is this an indication of some more singularities of the islog/isexp?