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Table 3.

Model summary.

Model ID N. par. DOF Δrms [″] BIC AICc Description
No-foreground 14 52 0.87 103 281 257 Foreground galaxies are not included
Reference 14 52 0.75 80 242 220 Foreground galaxies included in member scalings
Two-scalings 16 50 0.75 79 249 226 Foreground galaxies with different scaling relations
Free-scaling 16 50 0.74 80 250 226 Member scaling relation slopes, α and γ, are free
External-shear 16 50 0.75 80 250 226 Same as reference plus external shear
3-PIEMD-circ. 18 48 0.72 52 231 206 Third smooth component with zero ellipticity
3-PIEMD 20 46 0.69 48 235 210 Three smooth components

Models with B-spline perturbation

PertBS-3-1DM 21 45 1.26 208 369 349
PertBS-4-1DM 28 38 1.28 241 462 444
PertBS-5-1DM 37 29 1.09 197 455 475
PertBS-2-2DM 22 44 0.69 63 259 234
PertBS-3-2DM 27 39 0.53 35 252 232
PertBS-4-2DM 34 32 0.50 27 273 275
PertBS-5-2DM 43 23 0.41 22 306 384

Notes. For each model, we present the number of free parameters (N. par.), the number of degrees of freedom (d.o.f.), the root-mean-square difference between the model predicted and observed multiple image positions (Δrms), the minimum χ2, the BIC and AICc values, and a short description of the model parameterisation.

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