Recently, an unusual sequence of four topological states has been observed in multiferroic GdMn2O5 [1]. In these experiments, in ramping the external magnetic field up and down through the magnetic phase transition, the electric polarization of the sample passes through a cycle of four states, schematically represented as 1→2→3→4→1. In these experiments, the clockwise or counterclockwise sequence of states is protected by the geometry of the experiment, making them equivalent to a topological charge. A theoretical explanation of the observed effects suggests that half of the spins rotate by 360° with 90° in each step. The goal of this proposal is to observe the full-angle spin rotation with the field-induced XMLD.