Supporting data for publication in Physical Review Bds_extDOIhttps://doi.org/10.5281/zenodo.17077563.Toroidal ordering of artificial magnetic systems by spontaneous symmetry breakingpubDOIhttps://doi.org/10.1103/lbx1-hrddhttps://knowledge.lancashire.ac.uk/cgi/users/home?screen=EPrint::View&eprintid=57243