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Table 1

Summary of the best fit models of MACS 1206 and comparison with previous works on other clusters using only spectroscopically confirmed families of multiple images.

Model ID N. par. d.o.f. Δrms [′′] BIC AIC Description

P1 10 100 2.04 819 1023 996 One elliptical PIEMD halo, 265 members and external shear
P2 14 96 1.37 394 616 579 Same as P1, but with a second circular PIEMD halo
P3 18 92 0.56 62.6 304 256 Same as P2, but with a third circular PIEMD halo
P3ε 22 88 0.44 41.0 301 242 Same as P3, but ε and θ values of all halos are free to vary (reference)

N3ε 22 85 0.40 33.3 294 235 Same as P3ε, but the central halo is a pseudo-elliptical NFW
G3ε 23 84 0.40 33.3 299 237 Same as P3ε, but the central halo is a pseudo-elliptical gNFW

P4 22 88 0.53 52.4 313 254 Same as P3, but with a fourth circular PIEMD halo
P3εBCG 25 82 0.44 40.0 315 247 Same as P3, but with BCG parameters free to vary

Abell S1063 17 41 0.32 16.8 Updated model from Caminha et al. (2016a) and Karman et al. (2017)
MACS J0416 26 104 0.59 143 Model by Caminha et al. (2017)
Abell 2744 30 78 0.67 133 Model with the “gold constraints” by Mahler et al. (2017)

Notes. Summary of the strong lensing models and their global results. Columns show the model IDs, the number of optimized parameters (N. par.) and degrees of freedom (d.o.f.), the best fit positional Δrms, the value of the reference , the Bayesian Information Criterion (Schwarz 1978), the Akaike information criterion (Akaike 1974), and a short description of each model. For the definitions of these quantities, we refer to Caminha et al. (2016a).

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