The order-two non-classicality conjecture for almost classical knot 6.85091

Let $\mathscr{VC}$ be the concordance group of long virtual knots. The almost classical knot $6.85091$ is the closure of a long virtual knot $\upsilon$. The order-two non-classicality conjecture. The long virtual knot $\upsilon$ has order $2$ in $\mathscr{VC}$ and is not concordant to a classical knot. It is an open question whether the concordance group of long virtual knots contains any non-classical torsion; the conjecture would provide such an example, motivated by the symmetry data and the distinction between the relevant surface classes.