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.

But when I increase the precision from \ps 21 to \ps 38‚ the imaginary part of sexp(x) looks like a straight line at zero. But the imaginary part is soppost to be wavy‚ like a decreasing sine wave and zero at integers greater than negative three. That is how the analytic continuation of the Kneser method is below eta.

I cannot speak for Sheldon, but this program is intended for outside of Shell-Thron. On the interior, I believe that Kneser, is not Kneser, as Sheldon programs it. So it runs a more traditional algorithm. I could be wrong in the exact information of this. But \(\sqrt{2}\) produces the standard Shroder iteration with less than desirable accuracy.

This program does not produce Kneser as a mathematical object within the interior. I could be off a bit, but this is what I remember from my conversations with Sheldon.