Open Access

Table 1.

Modeling of the deflector total mass distribution using the observed multiple image positions.

Multiple images A, B
PIEMD
x [″] y [″] q θ [rad] θE [″] rcore [″]
0.27 −0.13 0.69 0.07 11.1 [0.0]
Shear γext ϕext [rad]
0.21 1.44
Nobs = 16 d.o.f. = 5  = 1.29
BIC = 31.8 AICc = 89.3 rms = 0.028″

SPEMD
x [″] y [″] q θ [rad] θE [″] rcore [″] γ
0.25 −0.11 0.77 0.10 3.8 [0.0] 1.55
Shear γext ϕext [rad]
0.06 1.08
Nobs = 16 d.o.f. = 4  = 0.63
BIC = 33.9 AICc = 128.6 rms = 0.020″

Multiple images A, B, C
PIEMD
x [″] y [″] q θ [rad] θE [″] rcore [″]
0.17 −0.22 0.41 0.01 12.9 [0.0]
Shear γext ϕext [rad]
0.06 1.22
Source Dds/Ds = 0.477 (corresponding to zC = 1.37)
Nobs = 20 d.o.f. = 6  = 4.04
BIC = 46.0 AICc = 116.0 rms = 0.044″

SPEMD
x [″] y [″] q θ [rad] θE [″] rcore [″] γ
0.14 −0.14 0.60 0.04 4.0 [0.0] 1.53
Shear γext ϕext [rad]
0.12 0.17
Source Dds/Ds = 0.548 (corresponding to zC = 1.72)
Nobs = 20 d.o.f. = 5  = 1.78
BIC = 46.7 AICc = 151.8 rms = 0.030″

PIEMD+rc
x [″] y [″] q θ [rad] θE [″] rcore [″]
0.18 −0.09 0.81 0.12 17.2 2.8
Shear γext ϕext [rad]
0.10 1.32
Source Dds/Ds = 0.583 (corresponding to zC = 1.98)
Nobs = 20 d.o.f. = 5  = 1.08
BIC = 46.0 AICc = 151.1 rms = 0.023″

SPEMD+rc
x [″] y [″] q θ [rad] θE [″] rcore [″] γ
0.18 −0.11 0.78 0.09 10.9 2.5 2.10
Shear γext ϕext [rad]
0.11 1.36
Source Dds/Ds = 0.577 (corresponding to zC = 1.93)
Nobs = 20 d.o.f. = 4  = 0.62
BIC = 48.6 AICc = 213.9 rms = 0.017″

Notes. The two upper models were optimized by exploiting the eight observed positions of the spectroscopically confirmed background sources A and B, while the four bottom models include also the observed positions of the two multiple images of source C, without a spectroscopic redshift measurement. For each model, we show the best-fit values of the parameters, the number of degrees of freedom (d.o.f.), the minimum chi-square () value, and the resulting BIC, AICc and rms values. The values of the x and y coordinates are referred to the center of light of the main elliptical lens galaxy, i.e., to its brightest pixel. The position angle θ is measured counterclockwise from x. Values in square brakets are kept fixed.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.