Zooming in on the point (-0.15550494345, 0.65017043818).
The mandelbrot code comes with examples like this one. The python script creates a sequence of bitmaps which are converted to GIFs and combined into an animation as described elsewhere on the site. This animation contains 62 frame and is just under 10MB. The generating script looks something like;
import Mandelbrot
Mandelbrot.example_size = (640,512)
Mandelbrot.active_point = 3
for i in range (1,63):
Mandelbrot.example(i)
Mandelbrot.example_size = (640,512)
Mandelbrot.active_point = 3
for i in range (1,63):
Mandelbrot.example(i)
If you can't leave your PC running you can split the loop into sections.