01/03/2016, 11:55 PM

It's always been known that super-exponentials have an intricate and complicated Riemann surface, but aside from the bits we've seen in plots and graphics, I don't think there is a comprehensive enumeration of branch indexes or a system of labeling each branch. I can think of a few threads in this forum where such a branch index system has been theorized, but I don't remember if we came to any conclusions. It's easy to index some of the branches by adding an imaginary logarithm, but I'm not convinced that doing this enumerates all branches of super-exponentials.