  We present a computational toolkit for (local) Poisson-Nijenhuis calculus on
manifolds. Our python module $\textsf{PoissonGeometry}$ implements our
algorithms, and accompanies this paper. We include two examples of how our
methods can be used, one for gauge transformations of Poisson bivectors in
dimension 3, and a second one that determines parametric Poisson bivector
fields in dimension 4.

Differential Geometry;Symbolic Computation;Dynamical Systems;Symplectic Geometry