2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104767We show that the ungraded ruling invariants of a Legendrian link can be realized as certain coefficients of the Kauffman polynomial which are non-vanishing if and only if the upper bound for the Bennequin number given by the Kauffman polynomial is sharp. This resolves positively a conjecture of Fuchs. Using similar methods a result involving the upper bound given by the HOMFLY polynomial and 2-graded rulings is proved.17 pages, 9 figuresGeometric TopologySymplectic Geometry57M27text