  Let $K$ be an algebraically closed field of characteristic $0$, and let $H$
denote the Hilbert scheme of $\mu$ points of the affine space
$\mathbb{A}^n_{K}$. An elementary component $E$ of $H$ is an irreducible
component such that every $K$-point $[I]$ $\in$ $E$ represents a length-$\mu$
closed subscheme $\text{Spec}(K[x_1,\dots,x_n]/I)$ $\subseteq$
$\mathbb{A}^n_{K}$ that is supported at one point. In a previous article we
found some new examples of elementary components; in this article, we modify
and extend the methods of the previous paper to find more examples.
