The Multivariable Alexander Polynomial

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(For In[1] see Setup)

In[2]:= ?MultivariableAlexander MultivariableAlexander[L][t] returns the multivariable Alexander polynomial of a link L as a function of the variable t[1], t[2], ..., t[c], where c is the number of components of L.

In[3]:= MultivariableAlexander::about The multivariable Alexander program was written by Dan Carney at the University of Toronto in the summer of 2005.

There are 11 links with up to 11 crossings whose multivariable Alexander polynomial is $0$. Here they are:

In[4]:=	Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]
Out[4]=	{Link[9, NonAlternating, 27], Link[10, NonAlternating, 32], Link[10, NonAlternating, 36], Link[10, NonAlternating, 107], Link[11, NonAlternating, 244], Link[11, NonAlternating, 247], Link[11, NonAlternating, 334], Link[11, NonAlternating, 381], Link[11, NonAlternating, 396], Link[11, NonAlternating, 404], Link[11, NonAlternating, 406]}