M Theory Lesson 156

Linas Vepstas has some really nice pictures on his webpage. This is the real part of the J invariant. And check out the polylogarithm movie! In the movie, the polylogarithm parameter $s$ is varied along the critical line of the Riemann zeta function (from the real axis upwards) and the $\textrm{Li}_{s}(z)$ phase is plotted in the plane.