Test for fatou.gp

[Ember Edison]

fatou.gp implements Kneser's super-logarithm or inverse of tetration for complex bases and complex heights.
Of course, We need some test to check behaviour of the program.

All results download(2019v1, 2019-09-11 GMT 15:00)
https://drive.google.com/drive/folders/1...sp=sharing

project for phase I:
P1-1. Show the behaviour for sexp and slog when all parameter is complex.
More results please click on the google drive link. Here are some pictures:


P1-2. Find the ill-behaviour and bug for fatou.gp.
https://math.eretrandre.org/tetrationfor...p?tid=1217
P1-3. Find the ill-behaviour and bug for superroot.gp.
More results please click on the google drive link.
Warning: I don't think I have a proper setup for superroot.gp

project for phase II:
P2-1. Verify the new features in 2019v1 edition fatou.gp. 


It's more better in 2019v1 edition fatou.gp when circle closely around base zero. Add P2-3.

New ill-region base: close to 1, close the Shell-Thron region, Abs(base)>10E6.

P2-2. [b]Show the behaviour for pent, ipent, hex, ihex when all parameter is complex.[/b]
(working)
[b]P2-3. [b]Show the behaviour for [b]sexp and slog when circle closely around base zero.[/b][/b][/b]
(working)


(working)

project for phase III: (planning)
[b]P3-1. [b]Show the behaviour for [b]sexp and slog when circle closely around base 1.[/b][/b][/b]
[b]P3-2. [b]Show the behaviour for [b]sexp and slog when base close the Shell-Thron region.[/b][/b][/b]

Wishlist:
W1. Holomorphic tetration to Base-0
It's looks mild when circle closely around base zero.
W2. Holomorphic tetration to Base-1
W3. Holomorphic tetration to Base-Infty
Upgrade from andydude work. 
W4. Holomorphic super-root (and hyper-5-root, hyper-6-root)
A trial version for super-root:
https://math.eretrandre.org/tetrationfor...44#pid8944