2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144353We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A_2-webs. We define consistent labelings of webs, and use them to describe the coefficients of decompositions into irreducible webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices, and describe some further properties.21 pages, 14 figuresCombinatoricsRings and Algebras05A15text