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We present numerical values for the self-energy shifts predicted by QED(Quantum Electrodynamics) for hydrogenlike ions (nuclear charge $60 \le Z \le110$) with an electron in an $n=3$, 4 or 5 level with high angular momentum($5/2\le j \le 9/2$). Applications include predictions of precision transitionenergies and studies of the outer-shell structure of atoms and ions.Comment: 20 pages, 5 figure

QED self-energy contribution to highly excited atomic states