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Figure 1
Magnetic moments acted on by (a) collinear and (b) coplanar spin-only groups. (a) A collinear spin-only group along the axis [{\hat {\bf n}}_{1}] is generated from rotations along [{\hat {\bf n}}_{1}] and mirror operations preserving [{\hat {\bf n}}_{1}]. The red dotted line indicates the largest displacement between magnetic moments acting on the collinear spin-only group. (b) A coplanar spin-only group along the axis [{\hat {\bf n}}_{3}] is generated from a mirror operation perpendicular to [{\hat {\bf n}}_{3}]. The red dotted line indicates the largest displacement between magnetic moments acting on the coplanar spin-only group.

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