Minimal knots

You can download a Sage script that lets you compute our invariants on any link (presented as the closure of a braid). Please read the remark below.

Here we present some examples. Below are 157 braids, the closure of which are knots (and not just links). They are all distinct (non-isotopic to each other).

REMARK: these computations (and the script we offer) were based on the very first version of the paper. In subsequent versions we have adopted a different sign convention, so that all the signatures (the numbers written on the camemberts) should be multiplied by -1 according to the latest official definition. The polynomials on the other hand are unchanged.

Braid #0
Braid #1
Braid #2
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Braid #155
Braid #156

Gael Collinet and Pierre Guillot, 2010.