The details of this classification are described in the Materials and Methods section. In Fig. , the projected configurations are classified into three groups: Group C1 (purple), Group C2 (cyan) and Group C3 (yellow) with almost equal populations (i.e. ∼ 1/3 of the total configurations in each group). It can be observed that in the boundary between classes, the number of points are thinner, which shows that the configurations are well clustered.