The depth-to-even-block isomorphism conjecture

Let ${\mathfrak{s}}{\mathfrak{d}}{\mathfrak{g}}$ be the subalgebra of the depth graded motivic Lie algebra generated by the non-exceptional elements, and let ${\mathfrak{e}}{\mathfrak{b}}{\mathfrak{g}}$ be the totally even block graded Lie algebra. The preceding theorem gives a surjective map

$${\mathfrak{s}}{\mathfrak{d}}{\mathfrak{g}}\to{\mathfrak{e}}{\mathfrak{b}}{\mathfrak{g}}.$$

Depth-to-even-block isomorphism conjecture. The map ${\mathfrak{s}}{\mathfrak{d}}{\mathfrak{g}}\to{\mathfrak{e}}{\mathfrak{b}}{\mathfrak{g}}$ is an isomorphism. It is stated to hold in Lie degrees $1$ and $2$, and in Lie degree $3$ up to weight $33$, but remains conjectural in general.