Abstract
We study the expressions of p1−c(L)(l), the coefficient of the lowest power of m of the HOMFLY polynomial of a link L with c(L) components, give what these coefficients are if they include exactly two terms for knots and the properties of p1−c(L)(1) for knots as well as properties of higher derivatives of p1−c(L) evaluate at i. We show that there are infinitely many different links (knots), especially infinitely many different pretzel links (knots) to have such coefficients and infinitely many different pretzel links (knots) to have same p1−c(L)(l).
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