The normalized $Q^{1}$ periodicity conjecture for pretzel knots

In the conjectured-properties section, let $Q^1(c,r)$ be the first-difference quantity associated with a pretzel knot, and let $X(Q^1(c,r))$ denote the factor by which it is normalized. The parameters $c$ and $r$ are the knot parameter and symmetric-representation index, respectively.

The normalized $Q^1$ periodicity conjecture. For the indicated values of $c$ and $r$,

$$\frac{Q^1(c,r)}{X(Q^1(c,r))}=\frac{Q^1(c+1,r)}{X(Q^1(c+1,r))}.$$

The paper presents this as an unproved conjectured property, with the surrounding discussion reporting verification only for specified small parameter values.