2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99921We establish a relation between several easy-to-calculate numerical invariants of generic knots in $\mathbb{H}^2 \times S^1$, and use it to give a new method of computing the Thurston-Bennequin number of Legendrian knots in the tight contact $\mathbb{R}^3$.7 pages, 3 figuresGeometric Topology57M27, 57R17A New Way to Compute the Thurston-Bennequin Numbertext