2 problems

Dimension-bound conjecture. There are no solvable compatible Lie extensions of $\mathcal{L}_s$ of dimension greater than $\underline{n_s}+5$.

Linear deformation conjecture. The algebra $\mathcal{L}$ is a linear deformation of the algebra $\mathcal{L}_s$ for certain $s \in \mathbb{N}^t$.