English: Plots of the phase for the twelve Jacobi Elliptic functions pq(u,m) as a function complex argument u, with poles and zeroes indicated. The plots are over one full cycle in the real and imaginary directions with the colored portion indicating phase according to the color wheel at the lower right (which replaces the trivial dd function). Regions with amplitude below 1/3 are colored black, roughly indicating the location of a zero, while regions with amplitude above 3 are colored white, roughly indicating the position of a pole. All plots use m=2/3 with K=K(m), K'=K(1-m), K(.) being the complete elliptic integral of the first kind. Arrows at the poles point in direction of zero phase. Right and left arrows imply positive and negative real residues respectively. Up and down arrows imply positive and negative imaginary residues respectively.