Make 2D color plots of the Hurwitz zeta function (complex)

Make 2D color plots of the Hurwitz zeta function (complex)
Wikipedia has cool color pictures.
As a function of q for s = 3+4i;
https://en.wikipedia.org/wiki/Hurwitz_zeta_function#/media/File:HurwitzofAz3p4j.png
As a function of s for q = 24/25;
https://en.wikipedia.org/wiki/Hurwitz_zeta_function#/media/File:Hurwitza24ov25v2.png

The issue names no files, tests, or entry points. Start by locating the repository's existing Hurwitz zeta implementation and any plotting or visualization support, then determine how complex-valued samples can be rendered. Done means producing 2D color plots for the two linked cases: q with s = 3+4i and s with q = 24/25.

Written by the indexing model from the issue text.