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Fig. A.1.

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Torque distribution along the axis at (a) t = 0, (c) t = 5 t0, (e) t = 6 t0, and (g) t = 10 t0 in SES, and (b) t = 0, (d) t = 5 t0, (f) t = 14 t0, and (h) t = 20 t0 in FES, where the positive (negative) torque promotes the counterclockwise (clockwise) rotation is shown in red (purple). In all panels, the magnetic contours of +20 Gauss (dark red) and -20 Gauss (dark blue) are superimposed on the bottom plane. The white lines show polarity inversion lines in each panel. An animation showing the above evolutions is available online.

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