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.

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

In[3]:=	Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]
Out[3]=	{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]}