Computing algebraic numbers of bounded height

Sage code for computing elements of bounded height in number fields may be downloaded here.

Below are a few examples of the code in action. This file has all the commands used below.

A computation of all the rational numbers of height at most 3:

An example over an imaginary quadratic field, with a height bound of 2,000:

An example over a cubic field, using a height bound of 1,000: