Table 7
Best SIE+γ (Nlens = 1) and SIE+SIS+γ (Nlens = 2) models for the sample of 14 quads (Sect. 6.1).
Object | N lens | R Ein | e, θ e | γ, θ γ | ΔG | rms | χ2 (d.o.f.) |
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B0128+437 | 1 | 0.235 | 0.46, –27.72 | 0.213, 41.17 | 0.006, 38 | 0.000 | 0.4 (1) | 0.0, 0.4 |
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MG0414+0534 | 1 | 1.182 | 0.23, –38.26 | 0.119, 79.30 | 0.057, 321 | 0.000 | 26.6 (1) | 0.0, 26.6 |
MG0414+0534 | 2 | 1.100, 0.181 | 0.22, 82.65 | 0.099, –55.03 | 0.000, 2 | 0.000 | 0.0 (0) | 0.0, 0.0 |
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HE0435-1223 | 1 | 1.201 | 0.05, 4.60 | 0.067, 16.00 | 0.003, 12 | 0.000 | 1.1 (1) | 0.2, 1.0 |
HE0435-1223 | 2 | 1.191, 0.074 | 0.09, 11.75 | 0.059, 18.60 | 0.000, 0 | 0.000 | 0.0 (0) | 0.0, 0.0 |
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RX J0911.4+0551 | 1 | 1.120 | 0.27, –36.13 | 0.315, 12.87 | 0.043, 227 | 0.005 | 138.2 (1) | 15.9, 122.3 |
RX J0911.4+0551 | 2 | 0.916, 0.232 | 0.25, –73.48 | 0.329, 9.25 | 0.000, 0. | 0.000 | 0.0 (0) | 0.0, 0.0 |
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J0924+219 | 1 | 0.874 | 0.11, –53.87 | 0.068, 68.00 | 0.009, 33 | 0.001 | 5.4 (1) | 0.3, 5.1 |
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PG 1115+080 | 1 | 1.145 | 0.16, –84.23 | 0.107, 51.06 | 0.018, 58 | 0.002 | 22.2 (1) | 2.7, 19.5 |
PG 1115+080 | 2† | 0.969, 4.773 | 0.06, –73.90 | 0.248, 61.25 | 0.000, 1 | 0.000 | 0.8 (1) | 0.0, 0.7 |
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RXS J1131-1231 | 1 | 1.837 | 0.18, –60.15 | 0.106, –83.29 | 0.029, 89 | 0.011 | 183.6 (1) | 64.4, 119.2 |
RXS J1131-1231 | 2†† | 1.837, 2.8e-6 | 0.18, –60.32 | 0.106, –83.27 | 0.029, 90 | 0.011 | 183.6 (0) | 64.0, 119.6 |
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J1138+0314 | 1 | 0.664 | 0.04, –63.45 | 0.106, 31.95 | 0.010, 39 | 0.000 | 2.9 (1) | 0.1, 2.8 |
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H1413+117 | 1 | 0.596 | 0.60, –35.88 | 0.310, 49.98 | 0.031, 176 | 0.000 | 2.4 (1) | 0.0, 2.4 |
H1413+117 | 2 | 0.523, 1.078 | 0.49, –38.89 | 0.144, 63.29 | 0.029, 164 | 0.000 | 2.1 (0) | 0.0, 2.1 |
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B1422+231 | 1 | 0.771 | 0.28, –56.96 | 0.174, –52.45 | 0.012, 40 | 0.000 | 5.5 (1) | 0.2, 5.3 |
B1422+231 | 2† | 0.740, 3.941 | 0.28, –57.05 | 0.132, –48.36 | 0.012, 41 | 0.000 | 5.8 (1) | 0.2, 5.6 |
B1422+231 | 2††† | 0.785, 4.450 | 0.21, –57.62 | 0.091, 77.47 | 0.000, 1 | 0.000 | 0.0 (1) | 0.0, 0.0 |
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B1608+656 | 1 | 1.155 | 0.90, 69.86 | 0.301, –15.04 | 0.028, 136 | 0.012 | 96.3 (1) | 49.8, 46.5 |
B1608+656 | 2 | 1.049, 0.094 | 0.84, 71.69 | 0.223, –10.70 | 0.000, 0 | 0.000 | 0.0 (0) | 0.0, 0.0 |
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WFI2026-4536 | 1 | 0.654 | 0.17, –19.03 | 0.137, 81.80 | 0.011, 50 | 0.002 | 71.2 (1) | 12.6, 58.6 |
WFI2026-4536 | 2 | 0.604, 1.116 | 0.20, –1.54 | 0.099, 74.90 | 0.000, 0 | 0.000 | 0.0 (0) | 0.0, 0.0 |
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WFI2033-4723 | 1 | 1.117 | 0.35, 88.69 | 0.236, 12.71 | 0.032, 158 | 0.009 | 330.5 (1) | 75.3, 255.2 |
WFI2033-4723 | 2 | 0.945, 1.255 | 0.21, 15.45 | 0.214, 10.11 | 0.011, 57 | 0.005 | 60.9 (0) | 28.0, 32.9 |
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B2045+265 | 1 | 1.130 | 0.05, 78.89 | 0.174, –66.29 | 0.003, 19 | 0.002 | 17.8 (1) | 7.8, 10.0 |
B2045+265 | 2 | 1.101, 0.032 | 0.11, 29.09 | 0.203, –67.07 | 0.000, 0 | 0.000 | 0.0 (0) | 0.0, 0.0 |
Notes. The Einstein radius (REin) is in arcsec, the offset between the observed and model lens galaxy position ΔG is expressed in arcsec and in h-1 pc and the rms is in arcsec. The last column provides the contribution of the lens and image astrometry to the total χ2 (Eq. (6)). Note that the flux ratios are not used to constrain the models.
This model uses the group position of Momcheva et al. (2006) and the velocity dispersion of Wong et al. (2011);
this model is identical to model #1 because of the negligible contribution of the secondary lens;
this model uses the X-ray centroid of the group by Grant et al. (2004).
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