  The 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.
