Table 2.
Photometric redshifts of the deflector galaxies (zd), spectroscopic redshifts of the source galaxies (zs), local galaxy densities, and centroid offset and position angle misalignment (Δϕ) between mass and light.
| System | zd | zs | Σ10 | Σ10,fs | Σ20 | Σ20,fs | centroid offset | Δϕ | |
|---|---|---|---|---|---|---|---|---|---|
| (Mpc−2) | (Mpc−2) | (Mpc−2) | (Mpc−2) | (kpc) | (°) | ||||
| J023.0157−16.0040 | 0.36±0.04 | – | 647±99 | 56±9 | 853±132 | 82±13 | 0.73±0.07 | 4.1±2.5 | |
| J024.1631+00.1384 | 0.34±0.04a | 2.628 | 389±56 | 61±9 | 533±77 | 82±12 | 6.09±0.42 | 59.5±0.4 | |
| J030.4360−27.6618 | 0.75±0.07 | – | 1130±77 | 876±59 | 1245±85 | 723±49 | 0.39±0.06 | 44.8±12.6 | |
| J033.8095−29.1570 | 0.94±0.12 | – | 622±48 | 293±23 | 706±55 | 316±25 | 0.45±0.04 | 9.9±0.8 | |
| J094.5639+50.3059 | 0.52±0.08a | – | 1431±257 | 119±21 | 718±126 | 137±24 | 1.76±0.14 | 52.0±0.5 | |
| J140.8110+18.4954 | 0.68±0.05 | 2.417 | 455±30 | 226±15 | 400±26 | 242±16 | 0.27±0.04 | 66.1±19.6 | |
| J154.6972−01.3590 | 0.40±0.03 | 1.432 | 1011±92 | 322±29 | 997±90 | 127±12 | 0.97±0.04 | 8.2±0.4 | |
| J165.4754−06.0423 | 0.33±0.04a | 1.675 | 1568±284 | 168±31 | 1482±276 | 249±46 | 0.16±0.02 | 1.1±0.6 | |
| J181.3974+41.1790 | 0.62±0.02 | – | 514±16 | 234±8 | 514±16 | 223±7 | 1.50±0.10 | 11.7±0.8 | |
| J225.4050+52.1417 | 0.75±0.07 | – | 765±58 | 547±43 | 745±57 | 683±52 | 1.74±0.14 | 30.9±4.0 | |
| J234.4783+14.7232 | 0.65±0.04a | – | 425±24 | 312±18 | 556±32 | 454±26 | 0.58±0.18 | 13.4±1.4 | |
| J238.5690+04.7276 | 0.59±0.06 | 1.721 | 653±64 | 195±19 | 843±83 | 270±26 | 0.15±0.03 | 5.9±2.4 | |
| J246.0062+01.4836 | 0.79±0.05 | – | 788±34 | 534±23 | 819±35 | 363±16 | 1.13±0.04 | 6.2±0.9 | |
| J257.4348+31.9046 | 0.72±0.08 | – | 252±25 | 148±14 | 349±34 | 168±16 | 0.22±0.04 | 10.4±0.6 | |
| J329.6820+02.9584 | 0.28±0.02 | 2.080 | 1393±140 | 299±30 | 1489±149 | 88±9 | 0.66±0.04 | 10.2±0.6 |
Notes. Spectroscopic redshifts, zs, of the sources are quoted from Tran et al. (2022) and Huang et al. (2025). The different definitions of local galaxy density, denoted as Σ, are as follows: Σ10 refers to the projected local galaxy density calculated based on the nearest ten neighbors; Σ10,fs is similar to Σ10, but specifically considers the nearest ten neighbors selected based on having fluxes greater than 1% of the corresponding central deflector’s flux; Σ20 and Σ20,fs follow the same definitions as above, but they take into account the 20 nearest neighbors instead.
Although we used the uniformly available photometric redshifts tabulated above in our analysis, for reference, we provide here the spectroscopic redshifts reported in the literature. For J024.1631+00.1384: zd = 0.344, for J094.5639+50.3059: zd = 0.522, for J165.4754−06.0423: zd = 0.483, and for J234.4783+14.7232: zd = 0.478 (Tran et al. 2022; Huang et al. 2025).
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