Every one of these objects can be uniquely decomposed into primes by Schubert’s theorem. Gordon and Leucke proved a theorem about determining one of these objects from their complement, which is (15[1])compact when working in a 3-sphere. Tame examples of these objects can be “framed” by a solid torus. Reidemeister moves leave invariant a quantity describing these objects that is built recursively from skein relations and named after six mathematicians. The HOMFLY, (15[1])(*) Alexander, and Jones polynomials (10[1])describe these objects. Links are unions of these objects, which are composed (-5[1])of (-5[1])tangles. (-5[1])Prefixing the name of these objects with “un-” gives their simplest case, which has fewer crossings than the trefoil and figure-eight examples. For 10 points, name these embeddings in space of a tied string. ■END■ (10[3]0[2])