Since we already established that the monolingual word embeddings are far from isomorphic-in contrast with the intuitions motivating previous work (Mikolov et al., 2013b; Barone, 2016; Zhang et al., 2017; <cite>Conneau et al., 2018</cite> )-we would like to establish another diagnostic metric that identifies embedding spaces for which the approach in <cite>Conneau et al. (2018)</cite> is likely to work.