> The avatars of algebraic equations in complex numbers give us geometric shapes like the sphere or the surface of a donut; solutions in natural numbers modulo N give us other, more elusive, avatars.

If anyone is wondering what those "avatars" for solutions in natural numbers modulo N give, here is my plot for N from 2 to 22 that I made with Mathematica.

http://i.imgur.com/8JIocR6.png