  We present twelve numerical methods for evaluation of objects and concepts
from Poisson geometry. We describe how each method works with examples, and
explain how it is executed in code. These include methods that evaluate
Hamiltonian and modular vector fields, compute the image under the coboundary
and trace operators, the Lie bracket of differential 1-forms, gauge
transformations, and normal forms of Lie-Poisson structures on
$\mathbf{R}^{3}$. The complexity of each of our methods is calculated, and we
include experimental verifications on examples in dimensions two and three.
