Liverpool University Knot Theory Group Programs and Procedures: br9z.p. This is the original Homfly program (written by Short and Morton in 1985) using the Hecke algebra directly . The output here is the Homfly polynomial, as a matrix of coefficients, and also calculations of Alexander, Conway and Jones derived from it. It will deal with up to 9-string braids, and you can alter the number of strings within a session. If you have a more powerful machine or more storage you could try to make it work with 10 strings by altering a couple of the initial constants before recompiling. The program itself handles the polynomial coefficients of an element of the Hecke algebra by means of pointers, so as to avoid committing space unnecessarily in advance of the calculation. A C++ version of the basic Homfly program is also available. This is homfly.cpp which works for up to 10 strings.

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  1. Hayden, Kyle; Sabloff, Joshua M.: Positive knots and Lagrangian fillability (2015)