The structure of single-$Lambda$ hypernuclei is studied using the chiral hyperon-nucleon potentials derived at leading order (LO) and next-to-leading order (NLO) by the J{u}lich--Bonn--Munich group. Results for the separation energies of $Lambda$ single-particle states for various hypernuclei from $^5_{Lambda}$He to $^{209}_{,,,,,Lambda}$Pb are presented for the LO interaction and the 2013 (NLO13) and 2019 (NLO1
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