Dan Christensen, in a comment on John Baez's blog post about the Littlewood fractals says:
Using python and scipy, and carefully taking into account the 8-fold symmetry, I can generate the degree 24 roots in about 3 hours, and plot them in about 10 minutes. I store about 55 million roots (again using symmetry).
As a point of comparison, my root generation for degree 24 on my iMac a year later is currently just under 2 hours.