On the motive of O'Grady's six dimensional hyper-K\"{a}hler varieties

We prove that the rational Chow motive of a six dimensional hyper-K\"{a}hler variety obtained as symplectic resolution O'Grady type singular moduli space semistable sheaves on an abelian surface $A$ belongs to tensor category motives generated by $A$. in fact give formula for such terms surface. As consequence, conjectures Hodge and Tate hold many varieties OG6-type.