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We present tabulated data for the nuclear magnetic shielding constants($\sigma$) of the Dirac one-electron atoms with a pointlike, motionless andspinless nucleus of charge $Ze$. Utilizing the exact general analytical formulafor $\sigma$ derived by us \mbox{[P. Stefa{\'n}ska, Phys. Rev. A. 94 (2016)012508/1-15],} valid for an arbitrary discrete energy eigenstate, we havecomputed the numerical values of the magnetic shielding factors for the groundstate and for the first and the second set of excited states, i.e.: 2s$_{1/2}$,2p$_{1/2}$, 2p$_{3/2}$, 3s$_{1/2}$, 3p$_{1/2}$, 3p$_{3/2}$, 3d$_{3/2}$, and3d$_{5/2}$, of the relativistic hydrogenic ions with the nuclear charge numbersfrom the range $1 \leqslant Z \leqslant 137$. The comparisons of our resultswith the numerical values reported by other authors for some atomic states arealso presented.

Nuclear magnetic shielding constants of Dirac one-electron atoms in some low-lying discrete energy eigenstates