Kanenobu knots crossing-number upper-bound conjecture

Let $K(p,q)$ be the Kanenobu knot determined by integers $p$ and $q$, and let $c(K(p,q))$ denote its crossing number. Assume

$$pq<0,\qquad |p|\ne1,\qquad |q|\ne1.$$

Kanenobu knots crossing-number upper-bound conjecture. The crossing number satisfies

$$c(K(p,q))\leq |p|+|q|+8.$$

The preceding proposition already states this same upper bound, and the paper gives a diagram realizing it; the conjectural content is therefore redundant with the established upper bound and leaves the corresponding equality as the unresolved issue.