Different phases for a ring-shaped density distribution in 3D. In all cases, the Z-axis emerges, the direction of X-axis goes from left to right (equal to direction of ω-vector), and Y -axis goes from down to up. The rotational axis ω is indicated with red arrows and the magnetic axis is indicated with blue arrows. With (α, β, γ) the rotation in degrees around axis X, Y, and Z, respectively, is shown. Top panel: (270, 0, 0), (300, 0, 0), and (330, 0, 0). Bottom panel: (0, 0, 0), (30, 0, 0), and (60, 0, 0).