Link bridge-braid spectrum realization conjecture

Let $n$ be a positive integer, and let $\{\mathfrak{n},\ldots,1,0\}$ be a sequence. Link spectrum realization conjecture. Any sequence $\{\mathfrak{n},\ldots,1,0\}$ satisfying a set of reasonable conditions is the spectrum for an $n$-component link with this spectrum. This is proposed as a possible extension of the preceding knot realization claim to links; the source does not specify the conditions or establish the conjecture.