Supplemental for paper Strongly anisotropic electronic and magnetic structures in oxide dichlorides RuOCl2 and OsOCl2 by Yang Zhang, Ling-Fang Lin, Adriana Moreo, Thomas A. Maier, Gonzalo Alvarez, and Elbio Dagotto Phys. Rev. B 105, 174410 – Published 11 May 2022