Left non-degeneraete cubic solutions to the Yang-Baxter equation

Basic steps:

construct all shelves up to isomorphism such that the associated solution is cubic.
construct all solutions up to isomorphism with a given shelf as derived solution.

Count

all solutions obtained
all involutive solutions
all derived solutions

Construct YB semitrusses

Basic steps:

construct all dervied cubic YB semitrusses
for each derived cubic YB semitruss, construct all possible lambda-maps
for each possible lambda-map, construct, if exist, all possible circle operations.