  We generate and count isomorphism classes of gluing-parallel posets with
interfaces (iposets) on up to eight points, and on up to ten points with
interfaces removed. In order to do so, we introduce a new class of iposets with
full interfaces and show that considering these is sufficient. We also describe
the software (written in Julia) that we have used for our exploration and
define a new incomplete isomorphism invariant which may be computed in
polynomial time yet identifies only very few pairs of non-isomorphic iposets.
