tetration from alternative fixed point

[sheldonison]

Would this refer to the graph of the complex super-function, generated from the secondary fixed point, or to the graph of the real valued super-exponential, after the Kneser solution?

Oh I refer here to the Kneser solution (and probably to the Kouznetsov solution too). These are the real-valued ones. It depends on an initial region bounded by some line between two fixed points and its image.

I'd like to graph the 3*pi*i contour line of the super-function generated from the secondary fixed point, 2.0622777296+i*7.5886311785

By which method?
I am also not really sure what you mean by 3*pi*i contour line of the super-function ...

It is straightforward to generate the super-function from the secondary fixed point,

You mean here regular iteration, giving non-real values on the real line?

Yes, by superfunction, I mean regular iteration, complex valued at the real axis, which is connected to the sexp by the \( \theta \) mapping function.
\( \text{sexp}_e(z)=\text{superfunc}_e(z+\theta(z)) \)

The superfunction developed from the secondary fixed point has an imaginary contour line, where the imaginary value of z=3*pi*i. My hypothesis is that the real values of z on this contour line would range from +infinity to -infinity.

This is analogous to the superfunction developed from the primary fixed point, which has an imaginary contour line where the imaginary value of z=pi*i, and where the real ranges from +infinity to -infinity. After the Riemann mapping this contour line is on the real axis, from -3 to -2. The exponent of this line segment is on the real axis from -2 to -1, with values from -infinity to zero. I do see that the secondary superfunction would lead to a sexp with a total of 6*pi*i windings around the singularity at -2.

I'll post a picture of the 3*pi*i contour line when I get the arithmetic working, analogous to the picture I posted of the contour line from the primary fixed point, http://math.eretrandre.org/tetrationforu...e=threaded