Classification of the gluing matrices on the loop molecules of the points of centre-centre type

The Fomenko–Zieschang theory of topological invariants says that the mark $r$ is zero for the points of centre-centre type. The mark $\varepsilon$ is known to be dependent on the orientation of the $Q^3$ manifold, the orientation of the critical circumferences of the Liouville system's additional integral $F$, and the orientation of the molecule's ribs. This article investigates the method of the explicit setting of the basis cycles' orientation and suggests a way of finding the gluing matrices on the loop molecules of the points of centre-centre type depending on the allocation of the arcs of the bifurcation diagram.