18 lines Maldelbrot fractal set generator in Python

mandelbrot.py

from PIL import Image
import numpy as np
res = 2000
x = np.linspace(-2, 0.5, res)
y = np.linspace(-1.1, 1.1, res)
c = np.empty((res, res), dtype=complex)
for i in range(c.shape[0]):
    c[i] = x + y[i]*1j
m = c.copy()
for k in range(200):
    m = np.square(m) + c
    m[np.abs(m) > 10] = k
m = np.abs(m)
m = m/np.max(m)
m[np.isnan(m)][np.abs(m) > 10] = 0
m *= 255
img = Image.fromarray(m.reshape(res, res)).convert("RGB")
img.save("mandelbrot.jpg")

perhaps adding custom resolution, fixing gradients on max iteration