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

[andydude]

I mean the way they both decay to a conjugate of values at large imaginary parts and positive real part.

Yes, it appears that
\( \lim_{x\to\infty} e{\uparrow}^3 (i x)
= 0.7648667180537022 + 1.5298974233945777i \) (obtained with \( \text{sexp}^{\infty}(1+1.5i) \))
\( \lim_{x\to\infty} e{\uparrow}^3 (-i x)
= 0.7648667180537022 - 1.5298974233945777i \) (obtained with \( \text{sexp}^{\infty}(1-1.5i) \))
\( \lim_{x\to\infty} e{\uparrow}^3 (-x)
= -1.85035662730682 \) (obtained with \( \text{slog}^{\infty}(-1.5) \))
do you mean negative real part?