 This article uses the coefficient extraction operator formula_1 for formal power series, as well as the (labelled) operators formula_2 (for cycles) and formula_3 (for sets) on combinatorial classes, which are explained on the page for symbolic combinatorics.Given a combinatorial class, the cycle operator creates the class obtained by placing objects from the source class along a cycle of some length, where cyclical symmetries are taken into account, and the set operator creates the class obtained by placing objects from the source class in a set (symmetries from the symmetric group, i.e.an "unstructured bag".)