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Abstract Tensor analyzing-power components $$T_{20}$$ T 20 , $$T_{21}$$ T 21 , and $$T_{22}$$ T 22 for the reaction $$\gamma d\rightarrow np\pi ^0$$ γ d → n p π 0 have been studied for the first time in the photon energy range from 280 to 500 MeV. The data are extracted from the experimental statistics accumulated at the VEPP-3 storage ring in 2002–2003. The measured asymmetries are compared with the results of statistical simulations performed with the $$\gamma d\rightarrow np\pi ^0$$ γ d → n p π 0 amplitude from a spectator model, taking into account corrections for the final-state interaction. The comparison demonstrates quite good agreement between the experimental results and the theory.