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In this paper, we utilize high-quality rest-UV spectra of three radiogalaxies at $z \sim$ 3 observed with VLT/FORS2 to measure the flux of severalemission lines including relatively faint ones, such as NIV]$\lambda$1486,OIII]$\lambda$1663, and [NeIV]$\lambda$2424. Additionally, we collect fluxes offaint rest-UV emission lines in 12 $z \sim$ 3 radio galaxies from theliterature. Previously, physical and chemical properties of narrow-line regions(NLRs) in high-$z$ active galactic nuclei (AGNs) have been investigated mostlyby using only strong rest-UV emission-lines (e.g., NV$\lambda$1240,CIV$\lambda$1549, HeII$\lambda$1640, and CIII]$\lambda$1909). Such strong-linediagnostics are based on various assumptions due to the limitation in thenumber of available emission-line constraints. In this work, both physical andchemical properties of NLR clouds in each object are estimated by fittingdetailed photoionization models to the measured emission-line fluxes. Weconfirm that the metallicity of NLRs in AGNs at $z \sim$ 3 is solar orsuper-solar, without assuming the gas density and ionization parameter thanksto the constrains from the faint emission lines. This result suggests thathigh-$z$ radio galaxies are already chemically matured at $z \sim$ 3.

Multi-line assessment of narrow-line regions in $z \sim$ 3 radio galaxies