Combined relativistic configuration interaction and many-body perturbation calculations are performed for the 359 fine-structure levels of the $2s^2 2p^32s 2p^42p^52s^2 2p^2 3l2s 2p^3 3l2p^4 3l2s^2 2p^2 4l$ configurations in N-like ions from Ar XII to Zn XXIV. A complete and consistent data set of energies, wavelengths, radiative rates, oscillator strengths, and line strengths for all possible electric dipole, magnetic dipole, electric quadrupole, and magnetic quadrupole transitions among the 359 levels are given for each ion. The present work significantly increases the amount of accurate data for ions in the nitrogen-like sequence, and the accuracy of the energy levels is high enough to serve identification and interpretation of observed spectra involving the levels, for which the experimental values are largely scarce. Meanwhile, the results should be of great help in modeling and diagnosing astrophysical and fusion plasmas.

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