Table A.1.
Median values and confidence levels of the cluster total mass distribution parameters from the MCMC analyses of the reference strong lensing models (see Table 5).
| Median | 68% CL | 95% CL | 99.7% CL | |
|---|---|---|---|---|
| RX J2129 | ||||
| Smooth component 1 | ||||
| x (″) | 2.4 |
 |
 |
 |
| y (″) | −1.6 |
 |
 |
 |
| ε | 0.67 |
 |
 |
 |
| θ (°) | −23.7 |
 |
 |
 |
| rcore (″) | 14.0 |
 |
 |
 |
| σv (km s−1) | 1079 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
2.1 |
 |
 |
 |
 (km s−1) |
392 |
 |
 |
 |
| MACS J1931 | ||||
| Smooth component 1 | ||||
| x (″) | 0.09 |
 |
 |
 |
| y (″) | 0.22 |
 |
 |
 |
| ε | 0.56 |
 |
 |
 |
| θ (°) | 83.1 |
 |
 |
 |
| rcore (″) | 9.6 |
 |
 |
 |
| σv (km s−1) | 1199 |
 |
 |
 |
| Smooth component 2 | ||||
| x (″) | 42 |
 |
 |
 |
| y (″) | −131 |
 |
 |
 |
| rcore (″) | 12 |
 |
 |
 |
| σv (km s−1) | 756 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
7 |
 |
 |
 |
 (km s−1) |
248 |
 |
 |
 |
| MACS J0329 | ||||
| Smooth component 1 | ||||
| x (″) | 0.04 |
 |
 |
 |
| y (″) | 0.02 |
 |
 |
 |
| ε | 0.25 |
 |
 |
 |
| θ (°) | 86 |
 |
 |
 |
| rcore (″) | 4.7 |
 |
 |
 |
| σv (km s−1) | 931 |
 |
 |
 |
| Smooth component 2 | ||||
| x (″) | 40 |
 |
 |
 |
| y (″) | 20 |
 |
 |
 |
| ε | 0.52 |
 |
 |
 |
| θ (°) | 71 |
 |
 |
 |
| rcore (″) | 29 |
 |
 |
 |
| σv (km s−1) | 1113 |
 |
 |
 |
| External shear | ||||
| γshear | 0.07 |
 |
 |
 |
| θ (°) | −56 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
65 |
 |
 |
 |
 (km s−1) |
161 |
 |
 |
 |
| MACS J2129 | ||||
| Smooth component 1 | ||||
| x (″) | 2.33 |
 |
 |
 |
| y (″) | 1.62 |
 |
 |
 |
| ε | 0.62 |
 |
 |
 |
| θ (°) | −5.5 |
 |
 |
 |
| rcore (″) | 11.1 |
 |
 |
 |
| σv (km s−1) | 1331 |
 |
 |
 |
| Smooth component 2 | ||||
| x (″) | 6.0 |
 |
 |
 |
| y (″) | −39.1 |
 |
 |
 |
| ε | 0.86 |
 |
 |
 |
| θ (°) | 45 |
 |
 |
 |
| rcore (″) | 2.3 |
 |
 |
 |
| σv (km s−1) | 452 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
8 |
 |
 |
 |
 (km s−1) |
277 |
 |
 |
 |
| MACS J1115 | ||||
| Smooth component 1 | ||||
| x (″) | 1.6 |
 |
 |
 |
| y (″) | 2.1 |
 |
 |
 |
| ε | 0.49 |
 |
 |
 |
| θ (°) | 52 |
 |
 |
 |
| rcore (″) | 16 |
 |
 |
 |
| σv (km s−1) | 1300 |
 |
 |
 |
| Redshifts | ||||
| z3 | 2.8 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
28 |
 |
 |
 |
 (km s−1) |
152 |
 |
 |
 |
| MACS 0429 | ||||
| Smooth component 1 | ||||
| x (″) | 0.52 |
 |
 |
 |
| y (″) | 0.00 |
 |
 |
 |
| ε | 0.57 |
 |
 |
 |
| θ (°) | 79.9 |
 |
 |
 |
| rcore (″) | 4.5 |
 |
 |
 |
| σv (km s−1) | 1023 |
 |
 |
 |
| Redshifts | ||||
| z3 | 1.72 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
29 |
 |
 |
 |
 (km s−1) |
128 |
 |
 |
 |
| RX J1347 | ||||
| Smooth component 1 | ||||
| x (″) | −0.9 |
 |
 |
 |
| y (″) | −1.9 |
 |
 |
 |
| ε | 0.49 |
 |
 |
 |
| θ (°) | 104 |
 |
 |
 |
| rcore (″) | 9 |
 |
 |
 |
| σv (km s−1) | 1244 |
 |
 |
 |
| Smooth component 2 | ||||
| x (″) | −17 |
 |
 |
 |
| y (″) | −2 |
 |
 |
 |
| ε | 0.80 |
 |
 |
 |
| θ (°) | 118 |
 |
 |
 |
| rcore (″) | 9 |
 |
 |
 |
| σv (km s−1) | 811 |
 |
 |
 |
| External shear | ||||
| γshear | 0.10 |
 |
 |
 |
| θ (°) | 81 |
 |
 |
 |
| Redshifts | ||||
| z5 | 2.13 |
 |
 |
 |
| z6 | 3.08 |
 |
 |
 |
| z7 | 2.48 |
 |
 |
 |
| z8 | 4.37 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
30 |
 |
 |
 |
 (km s−1) |
213 |
 |
 |
 |
| MACS J1311 | ||||
| Smooth component 1 | ||||
| x (″) | −0.9 |
 |
 |
 |
| y (″) | −0.8 |
 |
 |
 |
| ε | 0.35 |
 |
 |
 |
| θ (°) | 92 |
 |
 |
 |
| rcore (″) | 4.9 |
 |
 |
 |
| σv (km s−1) | 1015 |
 |
 |
 |
| Redshifts | ||||
| z2 | 6.12 |
 |
 |
 |
| z3 | 2.27 |
 |
 |
 |
| Galaxy members | ||||
 (kpc) |
48 |
 |
 |
 |
 (km s−1) |
147 |
 |
 |
 |
Notes. The values of the velocity dispersion parameters (σv) are rescaled by the factor 
as described in the lenstool manual (see http://projets.lam.fr/projects/lenstool/wiki/PIEMD). The reference luminosities for the galaxy member parameters (
and 
, see Eq. (1)) correspond to the rest-frame magnitude of MF160W = −23 for each cluster.
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