2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76033We report on new numerical computations of the set of self-contacts in tightly knotted tubes of uniform circular cross-section. Such contact sets have been obtained before for the trefoil and figure eight knots by simulated annealing -- we use constrained gradient-descent to provide new self-contact sets for those and 48 other knot and link types. The minimum length of all unit diameter tubes in a given knot or link type is called the ropelength of that class of curves. Our computations yield improved upper bounds for the ropelength of all knots and links with 9 or fewer crossings except the trefoil.26 pages, 53 figures, for higher-resolution images, see http://www.cs.washington.edu/homes/piatek/contact_table/Differential Geometry53-04 (Primary) 65D18, 53A04 (Secondary)text