P295: Enumeration of all non-isomorphic chord diagrams

P295: Enumeration of all non-isomorphic chord diagrams
Input:
An integer $2n$.
Output:
All non-isomorphic chord diagrams with $2n$ points.
Complexity:
Comment:
A \textit{chord diagram} is a set of $2n$ points on an oriented circle (counterclockwise) joined pairwise by $n$ chords. In an experiment, their algorithm runs in almost CAT, but there is no Mathematical proof.
Reference:
[Sawada2002a] (Bibtex)