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Table 1.

Summary of most relevant works in which the two systems considered here have been modelled – with or without the perturber.

Lens Instrument Band Msub [109M] csub Profile Ref.
B1938 Keck/NIRC2+HST K′+NICMOS 0.19 ± 0.01 PJ V12
+666 Keck/NIRC2 K L12
0 . 508 2.20 + 3.86 $ 0.508^{+3.86}_{-2.20} $ 185 65 + 116 $ 185^{+116}_{-65} $ (z= 0 . 123 0.056 + 0.073 $ 0.123^{+0.073}_{-0.056} $) NFW T25
HST/NICMOS F160W K98
HST/NICMOS F160W 1 ∼60 (γsub = 1.96±0.12) tNFW S22

J0946 HST/ACS F814W G08
+1006 3.51± 0.15 PJ V10
5 . 01 1 + 1.4 $ 5.01^{+1.4}_{-1} $, 30 . 2 17.2 + 9.8 $ 30.2^{+9.8}_{-17.2} $ 1560 859 + 1440 $ 1560^{+1440}_{-859} $, 70 . 6 11.9 + 17.8 $ 70.6^{+17.8}_{-11.9} $ tNFW M21
8 59 + 87 $ 8^{+87}_{-59} $, 812 583 + 164 $ 812^{+164}_{-583} $ Ludlow et al. (2016) NFW N24
5 . 24 1.72 + 2.52 $ 5.24^{+2.52}_{-1.72} $ 354 154 + 370 $ 354^{+370}_{-154} $ tNFW E25
17 . 8 0.32 + 0.36 $ 17.8^{+0.36}_{-0.32} $ 250 53 + 78 $ 250_{-53}^{+78} $ (z= 0 . 243 0.016 0.018 $ 0.243^{0.018}_{-0.016} $) NFW T25
+MUSE +F336W 1 . 58 0.33 + 2.4 $ 1.58^{+2.4}_{-0.33} $ 251 125 + 543 $ 251^{+543}_{-125} $ tNFW B24
+HST/WFC3,WFPC2 +F(160,606,438)W S12
MUSE C20

Notes. The data are shown in Fig. 1. For B1938+666, we report values from: Vegetti et al. (2012), Lagattuta et al. (2012), King et al. (1998), Şengül & Dvorkin (2022), and Tajalli et al. (2025). For J0946+1006: Gavazzi et al. (2008), Vegetti et al. (2010b), Minor et al. (2021), Nightingale et al. (2024), Enzi et al. (2025), Ballard et al. (2024), Sonnenfeld et al. (2012), Collett & Smith (2020), and Tajalli et al. (2025). Minor et al. (2021), Şengül & Dvorkin (2022), and Ballard et al. (2024) use a truncated NFW profile (tNFW) instead of the classic NFW model. Tajalli et al. (2025) considered the redshift of the perturber as an extra parameter, as reported together with the concentration. Additionally, Minor et al. (2021) model the mass distribution of the main lens with and without the inclusion of multipoles, the latter leading to a higher mass and concentration for the detected subhalo. Nightingale et al. (2024) use a set of four variations for the main lens mass model, which determine the range of values for Msub, among which we report the minimum and maximum values.

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