“…Apart from k 0 , a set of additional magnetic reflections is observed, which can be indexed using propagation vectors from the series k n ± = k 0 ± n k S ( n = 0, 1, 2…), similar to the multi- k ground state of A 2+ Mn 7 O 12 manganites 28,29 . This observation strongly supports the presence of 3:1 (Mn 3+ :Mn 4+ ) charge order and orbital density wave in the system and reveals a crucial role of the magneto-orbital coupling 28,29,32 . The diffraction patterns provide evidence for the four distinct magnetic components, with k 0 = (0,0,1.2439(3)), k 1 + = (0,0,1.0060(3)), k 1− = (0,0,0.4940(3)) and k 2+ = k 2− (0,0,0.2560(3)) at T = 1.5 K, which were combined to get a constant-moment phase-modulated cycloid (Fig.…”