These finding can be generalised further based on analogous results from the FDR, and IDR regimes. Despite their smaller ADO numbers the same trends exist. Namely, ADOs from the same Matsubara axis behave in a similar fashion, but auxiliaries of an equivalent tier within different axes have little in common. Furthermore we consider whether this behaviour can be extrapolated to multi-tier ADOs (i.e. ADOs with n > 0 across multiple axes), and whether some share character. Results from the multi-tier analysis indicates that, similar to the results in figures 2 and 3, ADOs are most similar to others in their own Matsubara axis and all axes are largely independent of each other. Next we consider the magnitude of virtual information contained within the ADOs as a function of time. Since the information content of ADOs decreases in amplitude proportionally with their tier position, the vast majority of auxiliaries contain very little virtual information. For clarity, we consider the first 200 ADOs and note that these should contain a large percentage of the total virtual information. The aim of this analysis is to determine whether there are some ADOs of greater intrinsic importance to the OQS dynamics relative to others.