Existence of later-page collapse in the spectral sequence of Theorem 1

Show that there exists a strongly invertible knot K for which the spectral sequence of Theorem 1 does not collapse at E_2 but instead collapses at some later page E_k with k ≥ 3 (i.e., E_k = E_∞ for some k ≥ 3).

Background

Computations in the paper indicate that for all strongly invertible knots with at most 11 crossings the spectral sequence of Theorem 1 collapses at E_2.

The authors posit that this early collapse is not universal and conjecture the existence of examples requiring higher-page differentials, which would demonstrate richer behavior in the equivariant localization spectral sequence for strongly invertible knots.