Positivity conjecture for super lambda-lengths

Consider the once-punctured torus with a spin structure induced from the cyclic orientation of the two triangles in the fundamental domain, clockwise on one triangle and counter-clockwise on the other. In the associated decorated super Teichmüller space, let the super $\lambda$-lengths be the corresponding arc functions. Positivity conjecture for super $\lambda$-lengths. The formulas for super $\lambda$-lengths of arcs can all be expressed using only positive coefficients. The conjecture is motivated by the fact that the paper's signed generating functions and formulas nevertheless produce only positive signs in all computed examples. Whether positivity holds for every arc remains open in the provided text.