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Table 4.

Summary statistics of radio and optical samples in the ELAIS-N1 field.

Sample Ng Area [deg2] ng [arcmin−2] zmed zmean erms21/2 σe21/2 erms2 + σe21/2
HSC 456 593 6.4 19.71 0.81 0.97 0.402 0.130 0.423
LoTSS DR2 full 154 952 24.5 1.76
ILT sub-arcsecond 7211 6.7 0.30 0.365 0.236 0.435

HSC × LoTSS DR2 full 21 845 6.4 0.95 0.84 0.86 0.408 0.075 0.415
HSC × ILT sub-arcsecond 2595 5.2 0.14 0.91 0.92 0.399 0.083 0.407
↳ Radio shape 0.362 0.227 0.427

Notes. Ng and ng are the total number of sources and mean number density. All median and mean values are unweighted. The values in bold indicate the optical shape measurements from the HSC. ⟨erms21/2 and ⟨σe21/2 represent the intrinsic shape dispersion and measurement uncertainty, respectively. ⟨erms2 + σe21/2 denotes the total ellipticity dispersion. For ILT data, the total ellipticity dispersion ⟨erms2 + σe21/2 is measured directly, the measurement uncertainty ⟨σe21/2 is estimated through Eq. (8), and the intrinsic shape dispersion ⟨erms21/2 is derived from these quantities. Details on the LoTSS DR2, ILT sub-arcsecond, and HSC samples are provided in Sects. 3.1, 3.2, and 3.3.

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