A really simple way to do domain coloring in Python.
Domain coloring of the function $f(x) = \frac{sinc(z+i)}{tan(z-i)}$:
import numpy as np
import matplotlib.pyplot as plt
x,y = np.ogrid[-10:6:2560j, -10:10:1600j]
f = lambda z: np.sinc(z+i) / np.tan(z-i)
plt.imsave('graph.png', np.angle(f((x - 1j*y).T)), cmap='twilight')
Another Example
