Reconciling concentration to virial mass relations

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Table 2.

Lens data overview.

Lens ID	r_lens	r_rec	r_lens/r_e, I	Σ_crit	z_L	c	R₉₀/R₅₀
	(")	(")		$(\frac{10^{10} M_{⊙}}{{kpc}^{2}})$ $( \frac{10^{10}\,\mathrm{M}_{\odot}}{\text{ kpc}^2})$
(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)
J0037	1.309	4.06	0.73	3.92	0.1954	$9 . 16_{- 7.7}^{+ 23.8}$ $\phantom{0}9.16^{+23.8}_{-7.7}$	$1 . 40_{- 0.05}^{+ 0.41}$ $1.40^{+0.41}_{-0.05}$
J0044	0.601	2.55	0.31	4.52	0.120	$34 . 53_{- 12.3}^{+ 11.5}$ $34.53^{+11.5}_{-12.3}$	$1 . 55_{- 0.10}^{+ 0.09}$ $1.55^{+0.09}_{-0.10}$
J0946	1.541	3.08	0.66	2.83	0.222	$21 . 48_{- 15.6}^{+ 12.6}$ $21.48^{+12.6}_{-15.6}$	$1 . 58_{- 0.19}^{+ 0.14}$ $1.58^{+0.14}_{-0.19}$
J0955	1.141	2.69	0.78	2.54	0.111	$8 . 12_{- 3.8}^{+ 30.1}$ $\phantom{0}8.12^{+30.1}_{-3.8}$	$1 . 35_{- 0.01}^{+ 0.17}$ $1.35^{+0.17}_{-0.01}$
J0959	0.920	2.73	0.71	2.42	0.126	$23 . 11_{- 19.6}^{+ 40.7}$ $23.11^{+40.7}_{-19.6}$	$1 . 45_{- 0.10}^{+ 0.43}$ $1.45^{+0.43}_{-0.10}$
J1100	1.341	3.65	0.61	6.39	0.317	$5 . 28_{- 3.2}^{+ 13.5}$ $\phantom{0}5.28^{+13.5}_{-3.2}$	$1 . 39_{- 0.04}^{+ 0.23}$ $1.39^{+0.23}_{-0.04}$
J1143	1.104	4.75	0.41	2.15	0.106	$21 . 32_{- 18.2}^{+ 31.3}$ $21.32^{+31.3}_{-18.2}$	$1 . 49_{- 0.14}^{+ 0.35}$ $1.49^{+0.35}_{-0.14}$
J1204	1.258	3.26	1.15	3.15	0.164	$23 . 81_{- 18.4}^{+ 37.5}$ $23.81^{+37.5}_{-18.4}$	$1 . 51_{- 0.15}^{+ 0.37}$ $1.51^{+0.37}_{-0.15}$
J1213	1.115	3.65	0.74	2.24	0.123	$18 . 23_{- 16.0}^{+ 39.0}$ $18.23^{+39.0}_{-16.0}$	$1 . 47_{- 0.12}^{+ 0.56}$ $1.47^{+0.56}_{-0.12}$
J1402	1.344	2.89	0.59	4.91	0.205	$43 . 97_{- 41.9}^{}$ $43.97^{}_{-41.9}$	$2 . 00_{- 0.65}^{+ 12.1}$ $2.00^{+12.1}_{-0.65}$
J1525	1.219	3.87	0.50	8.81	0.358	$5 . 30_{- 4.1}^{+ 9.98}$ $\phantom{0}5.30^{+9.98}_{-4.1}$	$1 . 39_{- 0.04}^{+ 0.20}$ $1.39^{+0.20}_{-0.04}$
J1531	1.543	4.04	0.78	2.18	0.160	$4 . 06_{- 2.3}^{+ 11.0}$ $\phantom{0}4.06^{+11.0}_{-2.3}$	$1 . 36_{- 0.01}^{+ 0.12}$ $1.36^{+0.12}_{-0.01}$
J1538	1.011	2.08	1.01	2.83	0.143	$17 . 71_{- 15.5}^{+ 387.4}$ $17.71^{+387.4}_{-15.5}$	$1 . 47_{- 0.12}^{+ 4.48}$ $1.47^{+4.48}_{-0.12}$
J1630	1.687	4.63	1.02	4.82	0.248	$6 . 81_{- 5.8}^{+ 25.8}$ $\phantom{0}6.81^{+25.8}_{-5.8}$	$1 . 39_{- 0.04}^{+ 0.38}$ $1.39^{+0.38}_{-0.04}$
J1719	1.228	2.62	0.84	3.70	0.181	$19 . 31_{- 17.7}^{+ 655.2}$ $19.31^{+655.2}_{-17.7}$	$1 . 50_{- 0.15}^{+ 7.65}$ $1.50^{+7.65}_{-0.15}$
J2303	1.346	4.24	0.46	3.18	0.1553	$10 . 71_{- 8.6}^{+ 20.9}$ $10.71^{+20.9}_{-8.6}$	$1 . 41_{- 0.06}^{+ 0.28}$ $1.41^{+0.28}_{-0.06}$
J2343	1.293	3.41	–	4.16	0.181	$19 . 46_{- 17.5}^{+ 48.3}$ $19.46^{+48.3}_{-17.5}$	$1 . 51_{- 0.17}^{+ 0.73}$ $1.51^{+0.73}_{-0.17}$
J2347	0.742	3.40	0.55	11.80	0.417	$8 . 95_{- 7.2}^{+ 13.3}$ $\phantom{0}8.95^{+13.3}_{-7.2}$	$1 . 41_{- 0.06}^{+ 0.28}$ $1.41^{+0.28}_{-0.06}$

Notes. Column 1 lists the lens IDs. Column 2 shows the lens radius r_lens, an average radial measure of the position of lensed images, where the reconstruction uncertainty is minimised. Column 3 lists the reconstruction radius. Column 4 gives the ratio of r_lens to the effective radius in the I band. Column 5 shows the critical surface density Σ_crit. Column 6 shows the redshift z_L of the lens galaxy. Column 7 and Column 8 contain the parametric and non-parametric estimates of concentration shown in Fig. 4.

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