UNDER CONSTRUCTION!
This image is a visualization of the field of algebraic numbers in the complex plane (0 is near the bottom left, and i is directly above it near the top of the image). A point's color indicates the leading coefficient of its minimal polynomial over Z (red = 1, green = 2, blue = 3, yellow = 4). Its intensity is inversely proportional to the complexity of the polynomial.
Graphic by Stephen J. Brooks.