System V0871 Cen with its complete light curve, showing two additional prominent periods P_Aa and P_Ab (eclipses of both pairs denoted by short abscissae of blue for the primary, and red for the secondary eclipses, with longer solid ones for pair Aa, and shorter dash-dotted for pair Ab) and an additional eclipse, which we believe is the outer eclipse of their mutual orbit Aa-Ab around a common barycenter.