Subsequent triplet of HIP 41378 system with respect to MMRs. The solid purple lines show first-order two-planet MMRs, the dashed purple lines show second-order two-body MMRs, the solid red line shows the 2:1 MMR between planet n and n + 2, and the grey lines show zeroth-order three-body MMRs of the form k/P_n − (k + q)/Pn + 1 + q/P_n+2 = 0 (e.g. Cerioni et al. 2022). The top panel shows the RV posterior of the known planets. The bottom panel shows the example of case (iii) – solution 1, for which we added two planets, x and y, in order to reconnect planets c–f in a resonant chain.