Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation

[bo198214]

Now that we have the complex plot of tetration, let's look for the complex fixed points.

You mean tetration base e?

Though I think the complex fixed points are not so interesting for pentation.
We have a real fixed point between -2 and -1 for all bases > 1.
And also another real fixed point > 0 in the case b < e^{1/e}.
These fixed points may be used to define pentation.
Otherwise we may ask ourselfes why we define tetration for b< e^{1/e} at the real fixed point and not at complex fixed points.
But maybe I will ponder about the topic some more.