2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60550We address the question: Does there exist a non-trivial knot with a trivial Jones polynomial? To find such a knot, it is almost certainly sufficient to find a non-trivial braid on four strands in the kernel of the Burau representation. I will describe a computer algorithm to search for such a braid.12 pages, 3 figuresGeometric Topology57M25 (Primary) 20F36 (Secondary)text