What do you mean by "best"? Is there something particular you'd like to accomplish?
– Ryan BudneyFeb 19 '13 at 22:59

@Ryan: I want to compute the HOMFLY polynomial of (3,19) cable over trefoil.
– minimaxFeb 20 '13 at 0:03

1

The KnotTheory` Mathematica package, available with lots of documentation and examples at katlas.org/wiki/Setup, can compute HOMFLY and many other knot polynomials and even produce cables for you automatically.
– Steven SivekFeb 20 '13 at 0:21

@Steven: Thanks, I will try it out!
– minimaxFeb 20 '13 at 1:11