2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111515The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute values of the first and the last three leading coefficients of J(K,n) are independent of n when n is sufficiently large. Computation of sample knots indicates that this should be true for any fixed leading coefficient of the colored Jones polynomial for alternating knots. As a corollary we get a Volume-ish Theorem for the colored Jones Polynomial.14 pages, 6 figuresGeometric TopologyQuantum Algebra57M25On the Head and the Tail of the Colored Jones Polynomialtext