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The ADO invariants are a sequence of non-semisimple quantum invariants comingfrom the representation theory of the quantum group $U_q(sl(2))$ at roots ofunity. Ito showed that these invariants are sums of traces of quotients ofhomological representations of braid groups (truncated Lawrencerepresentations). In this paper we show a direct homological formula for theADO invariants, as sums of partial traces of Lawrence type representations,without further truncations.

ADO invariants directly from partial traces of homological representations