A table of n-component handlebody links of genus n+1 up to six crossings

A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalizes the notion of links in classical knot theory. In this paper, we consider handlebody links with a genus two handle- body and n - 1 solid tori, n > 1. Our main result is the classication of such handlebody links with six crossings or less, up to ambient isotopy.