new fatou.gp program

[JmsNxn]

If I do sexpinit(Pi^(1/Pi)), imag(sexp(x)) looks spikey.
If I increase the precision from \ps 21 to \ps 38, when I plot the imaginary part, it looks like a straight line at zero. (It also happened for higher precisions I tried.) Implying that it is real valued, but the analytic continuation of the Kneser method is not real valued at the pith root of pi. And then, when I tried to plot sexp(x) it said "*** incorrect type in gtodouble [t_REAL expected] (t_COMPLEX).".
Why was that happening?
Here is a graph of , according to fatou.gp at \ps 21:

Those are simply artifacts. They are completely inconsequential because it's still 0 to 21 digits. This is common with any tetration calculator. I'd say that's pretty good considering it's zero to 29 digits for all those errors.

Don't worry about it. To avoid the error you are getting, try plotting real(sexp(x)), it'll delete what is essentially just some noise.