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There is a nice complex_plot function which maps the argument of the function's value to the color of the representative point, and its modulus to tthe brightness. This may or may not be what you want.

Yon can also give a 3D representation using a colored 3D surface, mapping modulus to z and argument to color. The proble is, of course, what to do with poles ?

I have written this a couple times already, but not yet filed a ticket for that. If you're interested, I may post my code here, but don't expect miracles : it will be _s-l-o-w_...