We have {1} ⇏ {2, 3, 4, 5} or {2, 3, 4, 5} ⇏ {1} for the MIP cut when the collective state is 01111. The graph shows that the long-distance parameter discriminates the single OFF-state individual well according to the MIP cut for each visual field condition. Although a consistently low match rate exists for N = 4, these low visual field parameters are excluded by the leadership condition in Table 3. Note both graphs show an MIP cut without any self-loops because omitting them more clearly divides a single OFF-state individual and the rest of the members by an MIP cut (we have the same distribution as Fig 2 in S4 Fig). The version with self-loops is also listed in S6 Fig.