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The shell structure of low-lying neutron resonance levels in axially symmetric quadrupole-deformed potentials is discussed, which seems analogous to that of weakly bound neutrons. As numerical examples, nuclei slightly outside the neutron drip line, Mg271239 and C15621, are studied. For the lowest resonance I obtain Iπ=Ωπ=5/2- for Mg39 which is likely to be prolately deformed, while Iπ=Ωπ=1/2+ may
