SupplementaryMaterial

We indicate references to sections or statements in the main body of the paper by addingM to the reference. The proofs consist of three steps. In a third step, we consider a spherical capBsai (s { 1,1}) around sai. Let {ai: i [K]} SD 1 be a given set of unit-norm vectors. In this section, we prove the various isolated results stated in Sections M.3 and M.4 of the main submission.