Here is a list of some examples which illustrate various parts of this package.
First examples which show how to use this package
$\bullet$ How to make filtered complexes from chain complex maps
$\bullet$ Filtrations and tensor product complexes
$\bullet$ Filtrations and homomorphism complexes
$\bullet$ Filtered complexes and simplicial complexes
$\bullet$ I-adic filtrations of chain complexes and their spectral sequences
More elaborate examples which illustrate this package
$\bullet$ Computing the Serre Spectral Sequence associated to a Hopf Fibration
$\bullet$ Balancing Tor
$\bullet$ Spectral sequences and hypercohomology calculations
$\bullet$ Spectral sequences and connecting morphisms
$\bullet$ Spectral sequences and non-Koszul syzygies
$\bullet$ Seeing Cancellations
$\bullet$ A spectral sequence which fails to degenerate quickly
$\bullet$ Edge homomorphisms
$\bullet$ Examples of change of rings Spectral Sequences
More easy topological examples
$\bullet$ Identifying anti-podal points of the two sphere
$\bullet$ The fibration of the Klein Bottle over the sphere with fibers the sphere
$\bullet$ The trivial fibration over the sphere with fibers the sphere