5 problems

Exponential decay conjecture. Both proportions exponentially decay with respect to crossing number:

Defect proportion comparison conjecture. For all even $c\geq 4$ and all odd $c\geq 11$, the proportion of $c$-crossing prime alternating links $L$ with $\gamma(L)>\Gamma(L)$ is lar…

Crosscap-three classification conjecture. For each even crossing number $2k\geq 6$, there are exactly

Monotonicity conjecture. The following assertions hold:

Median and mode conjecture. For any $c\geq 12$, the medians and modes for $\gamma$ and $\Gamma$ among all $c$-crossing prime alternating knots equal