Witnesses for nonspreading primitive groups of almost simple type and degree at most 8191

This dataset is a supplement for the paper "The synchronisation hierarchy via coherent configurations" and contains witnesses for all nonspreading primitive groups of degree at most 8191. The group of degree n and primitive identification id in GAP has its nonspreading witness recorded in the file "NonSpreadingWitness_n_id.txt" in the form [S, M] where S is a set and M is a multiset (both given as arrays).