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Using the block filtration as a realisation of the coradical filtration, westudy the discrepancy between the depth filtration and the coradical filtrationfor motivic multiple zeta values. We construct an explicit dictionary between acertain subspace of block graded multiple zeta values and totally odd multiplezeta values and show that all expected relations in the depth graded motivicLie algebra may be realised in the block graded Lie algebra as the kernel of anexplicit map. We also discuss some connections to the uneven Broadhurst-Kreimerconjecture, and outline a possible approach.

Relating depth graded and block graded motivic Lie algebras