Table 2.
Summary of the characteristics of the seven lens models of MACS J0138−2155.
| Model | Nparam | Nd.o.f. | χim, min2 | rms [″] | lnℒ | BIC | Weight ℒ |
|---|---|---|---|---|---|---|---|
| GLAFIC | 31 | 15 | 10.8 | 0.20 | −5.4 | 129.5 | 1.47 × 10−1 |
| GLEE-baseline | 38 | 8 | 7.3 | 0.24 | −3.7 | 152.8 | 8.45 × 10−1 |
| LENSTOOL I | 36 | 10 | 92.9 | 0.48 | −46.5 | 230.7 | 2.18 × 10−19 |
| LENSTOOL II | 36 | 10 | 24.2 | 0.36 | −12.1 | 162.1 | 1.72 × 10−4 |
| MrMARTIAN postblind | 2241 (80.2) | − | 16.7† | 0.28 | −8.4 | 323.8 | 7.69 × 10−3 |
| 2241 (27.9) | − | 16.7† | 0.28 | −8.4 | 123.5 | 7.69 × 10−3 | |
| WSLAP+ postblind | 272 | − | 2136.5† | 1.02 | −1068.3 | − | 3.78 × 10−463 |
| ZITRIN-ANALYTIC | 40 | 6 | 143.2† | 0.30 | −71.6 | 296.3 | 2.61 × 10−30 |
Notes. We report the total number of model free parameters (Nparam), which includes the 16 source-position parameters (x and y for the eight gold systems); the resulting degrees of freedom (Nd.o.f.); and the values of the different statistical estimators used (see Sect. 4). The reported χim, min2 values correspond to the minimum 
before rescaling the positional uncertainties of the multiple images, where the dagger symbol (†) denotes the lens models run on the source plane (the reported values χim, min2 are consistently computed on the image plane for direct model comparison). The quantity lnℒ is −χim2/2, i.e., the natural log likelihood up to a constant offset that cancels out when weighting models by ℒ.
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