Open Access

Table E.2.

Model-predicted values of position, magnification, and time delay of the multiple images of SN Requiem.

GLAFIC GLEE GLEE -baseline Lenstool I Lenstool II MrMARTIAN MrMARTIAN WSLAP+ WSLAP+ ZITRIN-ANALYTIC
postblind postblind
x2aa (arcsec) 11 . 28 0.04 + 0.05 Mathematical equation: $ 11.28^{+0.05}_{-0.04} $ 11 . 30 0.07 + 0.07 Mathematical equation: $ 11.30^{+0.07}_{-0.07} $ 11 . 29 0.07 + 0.07 Mathematical equation: $ 11.29^{+0.07}_{-0.07} $ 11 . 33 0.00 + 0.00 Mathematical equation: $ 11.33^{+0.00}_{-0.00} $ 11 . 39 0.09 + 0.08 Mathematical equation: $ 11.39^{+0.08}_{-0.09} $ 11 . 250 0.007 + 0.009 Mathematical equation: $ 11.250^{+0.009}_{-0.007} $ 11 . 250 0.008 + 0.007 Mathematical equation: $ 11.250^{+0.007}_{-0.008} $ 11 . 03 0.03 + 0.03 Mathematical equation: $ 11.03^{+0.03}_{-0.03} $ 12 . 75 0.42 + 0.42 Mathematical equation: $ 12.75^{+0.42}_{-0.42} $ 11 . 30 0.21 + 0.03 Mathematical equation: $ 11.30^{+0.03}_{-0.21} $
y2aa (arcsec) 15 . 41 0.05 + 0.05 Mathematical equation: $ -15.41^{+0.05}_{-0.05} $ 15 . 50 0.04 + 0.04 Mathematical equation: $ -15.50^{+0.04}_{-0.04} $ 15 . 49 0.05 + 0.05 Mathematical equation: $ -15.49^{+0.05}_{-0.05} $ 15 . 48 0.00 + 0.00 Mathematical equation: $ -15.48^{+0.00}_{-0.00} $ 15 . 38 0.06 + 0.06 Mathematical equation: $ -15.38^{+0.06}_{-0.06} $ 15 . 528 0.006 + 0.005 Mathematical equation: $ -15.528^{+0.005}_{-0.006} $ 15 . 529 0.005 + 0.005 Mathematical equation: $ -15.529^{+0.005}_{-0.005} $ 15 . 64 0.03 + 0.03 Mathematical equation: $ -15.64^{+0.03}_{-0.03} $ 14 . 40 0.32 + 0.32 Mathematical equation: $ -14.40^{+0.32}_{-0.32} $ 15 . 51 0.12 + 0.03 Mathematical equation: $ -15.51^{+0.03}_{-0.12} $
μ2a 30 . 1 3.2 + 2.7 Mathematical equation: $ -30.1^{+2.7}_{-3.2} $ 39 . 8 6.5 + 5.4 Mathematical equation: $ -39.8^{+5.4}_{-6.5} $ 33 . 8 4.2 + 3.5 Mathematical equation: $ -33.8^{+3.5}_{-4.2} $ 25 . 4 2.9 + 2.7 Mathematical equation: $ -25.4^{+2.7}_{-2.9} $ 30 . 9 4.7 + 3.5 Mathematical equation: $ -30.9^{+3.5}_{-4.7} $ 47 . 5 25.5 + 6.3 Mathematical equation: $ -47.5^{+6.3}_{-25.5} $ 45 . 6 5.5 + 6.0 Mathematical equation: $ -45.6^{+6.0}_{-5.5} $ 215 101 + 101 Mathematical equation: $ -215^{+101}_{-101} $ 139 75 + 75 Mathematical equation: $ -139^{+75}_{-75} $ 26 . 2 9.2 + 7.0 Mathematical equation: $ -26.2^{+7.0}_{-9.2} $
Occurrenceb 100 100 100 100 100 100 100 100 100 100

x2ba (arcsec) 1 . 97 0.04 + 0.04 Mathematical equation: $ 1.97^{+0.04}_{-0.04} $ 1 . 99 0.07 + 0.08 Mathematical equation: $ 1.99^{+0.08}_{-0.07} $ 2 . 01 0.07 + 0.08 Mathematical equation: $ 2.01^{+0.08}_{-0.07} $ 2 . 46 0.40 + 0.32 Mathematical equation: $ 2.46^{+0.32}_{-0.40} $ 1 . 99 0.12 + 0.10 Mathematical equation: $ 1.99^{+0.10}_{-0.12} $ 2 . 055 0.007 + 0.007 Mathematical equation: $ 2.055^{+0.007}_{-0.007} $ 2 . 056 0.006 + 0.006 Mathematical equation: $ 2.056^{+0.006}_{-0.006} $ 2 . 25 0.03 + 0.03 Mathematical equation: $ 2.25^{+0.03}_{-0.03} $ 1 . 89 0.03 + 0.03 Mathematical equation: $ 1.89^{+0.03}_{-0.03} $ 2 . 46 0.51 + 0.90 Mathematical equation: $ 2.46^{+0.90}_{-0.51} $
y2ba (arcsec) 18 . 57 0.06 + 0.05 Mathematical equation: $ -18.57^{+0.05}_{-0.06} $ 18 . 61 0.02 + 0.02 Mathematical equation: $ -18.61^{+0.02}_{-0.02} $ 18 . 62 0.02 + 0.02 Mathematical equation: $ -18.62^{+0.02}_{-0.02} $ 18 . 67 0.05 + 0.05 Mathematical equation: $ -18.67^{+0.05}_{-0.05} $ 18 . 63 0.02 + 0.02 Mathematical equation: $ -18.63^{+0.02}_{-0.02} $ 18 . 600 0.002 + 0.006 Mathematical equation: $ -18.600^{+0.006}_{-0.002} $ 18 . 601 0.001 + 0.001 Mathematical equation: $ -18.601^{+0.001}_{-0.001} $ 18 . 60 0.03 + 0.03 Mathematical equation: $ -18.60^{+0.03}_{-0.03} $ 18 . 63 0.03 + 0.03 Mathematical equation: $ -18.63^{+0.03}_{-0.03} $ 18 . 69 0.06 + 0.12 Mathematical equation: $ -18.69^{+0.12}_{-0.06} $
μ2b 25 . 7 1.8 + 1.9 Mathematical equation: $ 25.7^{+1.9}_{-1.8} $ 24 . 3 2.2 + 2.9 Mathematical equation: $ 24.3^{+2.9}_{-2.2} $ 23 . 8 2.3 + 2.3 Mathematical equation: $ 23.8^{+2.3}_{-2.3} $ 19 . 2 1.7 + 1.7 Mathematical equation: $ 19.2^{+1.7}_{-1.7} $ 22 . 3 3.4 + 2.7 Mathematical equation: $ 22.3^{+2.7}_{-3.4} $ 19 . 5 1.3 + 7.0 Mathematical equation: $ 19.5^{+7.0}_{-1.3} $ 19 . 0 0.8 + 1.2 Mathematical equation: $ 19.0^{+1.2}_{-0.8} $ 48 18 + 18 Mathematical equation: $ 48^{+18}_{-18} $ 33 . 0 7.0 + 7.0 Mathematical equation: $ 33.0^{+7.0}_{-7.0} $ 18 . 5 3.8 + 4.1 Mathematical equation: $ 18.5^{+4.1}_{-3.8} $
Δt2b, 2a (days) 49 . 8 4.4 + 4.1 Mathematical equation: $ -49.8^{+4.1}_{-4.4} $ 47 . 9 3.6 + 3.5 Mathematical equation: $ -47.9^{+3.5}_{-3.6} $ 49 . 7 3.4 + 3.3 Mathematical equation: $ -49.7^{+3.3}_{-3.4} $ 74 57 + 52 Mathematical equation: $ -74^{+52}_{-57} $ 52 . 2 5.5 + 3.8 Mathematical equation: $ -52.2^{+3.8}_{-5.5} $ 29 . 8 2.2 + 2.4 Mathematical equation: $ -29.8^{+2.4}_{-2.2} $ 30 . 0 2.1 + 1.8 Mathematical equation: $ -30.0^{+1.8}_{-2.1} $ 61 14 + 14 Mathematical equation: $ -61^{+14}_{-14} $ 31 11 + 11 Mathematical equation: $ -31^{+11}_{-11} $ 35 . 0 14.2 + 11.2 Mathematical equation: $ -35.0^{+11.2}_{-14.2} $
Occurrenceb 100 100 100 100 100 100 100 100 100 100

x2ca (arcsec) 18 . 74 0.06 + 0.06 Mathematical equation: $ 18.74^{+0.06}_{-0.06} $ 18 . 84 0.03 + 0.03 Mathematical equation: $ 18.84^{+0.03}_{-0.03} $ 18 . 86 0.03 + 0.03 Mathematical equation: $ 18.86^{+0.03}_{-0.03} $ 18 . 81 0.09 + 0.12 Mathematical equation: $ 18.81^{+0.12}_{-0.09} $ 18 . 88 0.04 + 0.03 Mathematical equation: $ 18.88^{+0.03}_{-0.04} $ 18 . 815 0.019 + 0.003 Mathematical equation: $ 18.815^{+0.003}_{-0.019} $ 18 . 816 0.002 + 0.002 Mathematical equation: $ 18.816^{+0.002}_{-0.002} $ 18 . 85 0.03 + 0.03 Mathematical equation: $ 18.85^{+0.03}_{-0.03} $ 18 . 63 0.03 + 0.03 Mathematical equation: $ 18.63^{+0.03}_{-0.03} $ 18 . 54 0.36 + 0.24 Mathematical equation: $ 18.54^{+0.24}_{-0.36} $
y2ca (arcsec) 6 . 66 0.05 + 0.06 Mathematical equation: $ -6.66^{+0.06}_{-0.05} $ 6 . 65 0.07 + 0.07 Mathematical equation: $ -6.65^{+0.07}_{-0.07} $ 6 . 64 0.08 + 0.08 Mathematical equation: $ -6.64^{+0.08}_{-0.08} $ 6 . 86 0.28 + 0.25 Mathematical equation: $ -6.86^{+0.25}_{-0.28} $ 6 . 67 0.12 + 0.11 Mathematical equation: $ -6.67^{+0.11}_{-0.12} $ 6 . 715 0.059 + 0.005 Mathematical equation: $ -6.715^{+0.005}_{-0.059} $ 6 . 713 0.005 + 0.006 Mathematical equation: $ -6.713^{+0.006}_{-0.005} $ 6 . 58 0.03 + 0.03 Mathematical equation: $ -6.58^{+0.03}_{-0.03} $ 7 . 02 0.07 + 0.07 Mathematical equation: $ -7.02^{+0.07}_{-0.07} $ 7 . 22 0.75 + 0.51 Mathematical equation: $ -7.22^{+0.51}_{-0.75} $
μ2c 15 . 8 1.2 + 1.5 Mathematical equation: $ 15.8^{+1.5}_{-1.2} $ 15 . 7 1.5 + 1.9 Mathematical equation: $ 15.7^{+1.9}_{-1.5} $ 14 . 9 1.6 + 1.7 Mathematical equation: $ 14.9^{+1.7}_{-1.6} $ 10 . 6 1.0 + 1.4 Mathematical equation: $ 10.6^{+1.4}_{-1.0} $ 14 . 1 2.3 + 1.6 Mathematical equation: $ 14.1^{+1.6}_{-2.3} $ 15 . 7 0.9 + 13.0 Mathematical equation: $ 15.7^{+13.0}_{-0.9} $ 15 . 2 0.6 + 0.9 Mathematical equation: $ 15.2^{+0.9}_{-0.6} $ 30 . 5 8.1 + 8.1 Mathematical equation: $ 30.5^{+8.1}_{-8.1} $ 30 . 3 6.7 + 6.7 Mathematical equation: $ 30.3^{+6.7}_{-6.7} $ 13 . 4 3.4 + 4.2 Mathematical equation: $ 13.4^{+4.2}_{-3.4} $
Δt2c, 2a (days) 80 . 4 6.0 + 5.4 Mathematical equation: $ -80.4^{+5.4}_{-6.0} $ 78 . 4 8.7 + 7.2 Mathematical equation: $ -78.4^{+7.2}_{-8.7} $ 86 . 3 7.1 + 7.4 Mathematical equation: $ -86.3^{+7.4}_{-7.1} $ 83 84 + 51 Mathematical equation: $ -83^{+51}_{-84} $ 87 . 7 8.2 + 7.9 Mathematical equation: $ -87.7^{+7.9}_{-8.2} $ 70 . 6 6.2 + 36.4 Mathematical equation: $ -70.6^{+36.4}_{-6.2} $ 72 . 6 6.2 + 5.5 Mathematical equation: $ -72.6^{+5.5}_{-6.2} $ 95 43 + 43 Mathematical equation: $ -95^{+43}_{-43} $ 59 12 + 12 Mathematical equation: $ -59^{+12}_{-12} $ 58 . 3 33.9 + 25.2 Mathematical equation: $ -58.3^{+25.2}_{-33.9} $
Occurrenceb 100 100 100 100 100 100 100 100 100 100

x2da (arcsec) 5 . 01 0.13 + 0.13 Mathematical equation: $ -5.01^{+0.13}_{-0.13} $ 4 . 17 0.21 + 0.22 Mathematical equation: $ -4.17^{+0.22}_{-0.21} $ 4 . 23 0.25 + 0.28 Mathematical equation: $ -4.23^{+0.28}_{-0.25} $ 4 . 20 0.36 + 0.57 Mathematical equation: $ -4.20^{+0.57}_{-0.36} $ 4 . 70 0.16 + 0.20 Mathematical equation: $ -4.70^{+0.20}_{-0.16} $ 4 . 99 0.35 + 0.06 Mathematical equation: $ -4.99^{+0.06}_{-0.35} $ 4 . 97 0.05 + 0.05 Mathematical equation: $ -4.97^{+0.05}_{-0.05} $ 4 . 40 0.15 + 0.15 Mathematical equation: $ -4.40^{+0.15}_{-0.15} $ 4 . 44 0.71 + 0.71 Mathematical equation: $ -4.44^{+0.71}_{-0.71} $ 4 . 45 0.45 + 0.57 Mathematical equation: $ -4.45^{+0.57}_{-0.45} $
y2da (arcsec) 6 . 72 0.16 + 0.15 Mathematical equation: $ 6.72^{+0.15}_{-0.16} $ 5 . 64 0.30 + 0.29 Mathematical equation: $ 5.64^{+0.29}_{-0.30} $ 5 . 80 0.39 + 0.37 Mathematical equation: $ 5.80^{+0.37}_{-0.39} $ 5 . 98 0.69 + 0.62 Mathematical equation: $ 5.98^{+0.62}_{-0.69} $ 6 . 40 0.21 + 0.21 Mathematical equation: $ 6.40^{+0.21}_{-0.21} $ 6 . 65 0.09 + 0.36 Mathematical equation: $ 6.65^{+0.36}_{-0.09} $ 6 . 62 0.07 + 0.07 Mathematical equation: $ 6.62^{+0.07}_{-0.07} $ 5 . 40 0.25 + 0.25 Mathematical equation: $ 5.40^{+0.25}_{-0.25} $ 5 . 58 0.96 + 0.96 Mathematical equation: $ 5.58^{+0.96}_{-0.96} $ 6 . 78 0.63 + 0.57 Mathematical equation: $ 6.78^{+0.57}_{-0.63} $
μ2d 4 . 6 0.4 + 0.4 Mathematical equation: $ -4.6^{+0.4}_{-0.4} $ 2 . 2 0.5 + 0.4 Mathematical equation: $ -2.2^{+0.4}_{-0.5} $ 2 . 3 0.7 + 0.4 Mathematical equation: $ -2.3^{+0.4}_{-0.7} $ 1 . 3 0.3 + 0.3 Mathematical equation: $ -1.3^{+0.3}_{-0.3} $ 2 . 2 0.6 + 0.6 Mathematical equation: $ -2.2^{+0.6}_{-0.6} $ 5 . 1 0.3 + 0.2 Mathematical equation: $ -5.1^{+0.2}_{-0.3} $ 5 . 1 0.2 + 0.3 Mathematical equation: $ -5.1^{+0.3}_{-0.2} $ 18 15 + 15 Mathematical equation: $ -18^{+15}_{-15} $ 7 . 7 2.8 + 2.8 Mathematical equation: $ -7.7^{+2.8}_{-2.8} $ 4 . 0 1.1 + 0.7 Mathematical equation: $ -4.0^{+0.7}_{-1.1} $
Δt2d, 2a (days) 3711 76 + 80 Mathematical equation: $ 3711^{+80}_{-76} $ 3867 63 + 64 Mathematical equation: $ 3867^{+64}_{-63} $ 3863 64 + 64 Mathematical equation: $ 3863^{+64}_{-64} $ 4516 1662 + 1439 Mathematical equation: $ 4516^{+1439}_{-1662} $ 3957 108 + 135 Mathematical equation: $ 3957^{+135}_{-108} $ 3788 318 + 49 Mathematical equation: $ 3788^{+49}_{-318} $ 3806 40 + 36 Mathematical equation: $ 3806^{+36}_{-40} $ 4177 300 + 300 Mathematical equation: $ 4177^{+300}_{-300} $ 3826 60 + 60 Mathematical equation: $ 3826^{+60}_{-60} $ 4111 281 + 268 Mathematical equation: $ 4111^{+268}_{-281} $
Occurrenceb 100 100 100 16 99.8 100 100 100 100 98

x2ea (arcsec) 0 . 94 0.09 + 0.08 Mathematical equation: $ -0.94^{+0.08}_{-0.09} $ 1 . 63 0.03 + 0.20 Mathematical equation: $ -1.63^{+0.20}_{-0.03} $ 1 . 06 0.05 + 0.17 Mathematical equation: $ -1.06^{+0.17}_{-0.05} $ 1 . 07 0.04 + 0.03 Mathematical equation: $ -1.07^{+0.03}_{-0.04} $ 1 . 10 0.03 + 0.03 Mathematical equation: $ -1.10^{+0.03}_{-0.03} $ 1 . 05 0.05 + 0.05 Mathematical equation: $ -1.05^{+0.05}_{-0.05} $ 0 . 68 0.51 + 0.42 Mathematical equation: $ -0.68^{+0.42}_{-0.51} $
y2ea (arcsec) 1 . 21 0.10 + 0.12 Mathematical equation: $ 1.21^{+0.12}_{-0.10} $ 2 . 41 0.32 + 0.14 Mathematical equation: $ 2.41^{+0.14}_{-0.32} $ 1 . 59 0.24 + 0.06 Mathematical equation: $ 1.59^{+0.06}_{-0.24} $ 1 . 62 0.04 + 0.04 Mathematical equation: $ 1.62^{+0.04}_{-0.04} $ 1 . 35 0.03 + 0.03 Mathematical equation: $ 1.35^{+0.03}_{-0.03} $ 1 . 38 0.07 + 0.07 Mathematical equation: $ 1.38^{+0.07}_{-0.07} $ 1 . 13 0.57 + 1.02 Mathematical equation: $ 1.13^{+1.02}_{-0.57} $
μ2e 0 . 57 0.10 + 0.12 Mathematical equation: $ 0.57^{+0.12}_{-0.10} $ 1 . 55 1.15 + 0.77 Mathematical equation: $ 1.55^{+0.77}_{-1.15} $ 1 . 34 0.20 + 0.18 Mathematical equation: $ 1.34^{+0.18}_{-0.20} $ 1 . 41 0.10 + 0.12 Mathematical equation: $ 1.41^{+0.12}_{-0.10} $ 1 . 72 0.39 + 0.39 Mathematical equation: $ 1.72^{+0.39}_{-0.39} $ 1 . 86 0.55 + 0.55 Mathematical equation: $ 1.86^{+0.55}_{-0.55} $ 0 . 8 0.4 + 0.9 Mathematical equation: $ 0.8^{+0.9}_{-0.4} $
Δt2e, 2a (days) 3891 78 + 80 Mathematical equation: $ 3891^{+80}_{-78} $ 3876 50 + 55 Mathematical equation: $ 3876^{+55}_{-50} $ 3910 260 + 35 Mathematical equation: $ 3910^{+35}_{-260} $ 3921 31 + 30 Mathematical equation: $ 3921^{+30}_{-31} $ 4491 78 + 78 Mathematical equation: $ 4491^{+78}_{-78} $ 3909 34 + 34 Mathematical equation: $ 3909^{+34}_{-34} $ 4346 277 + 270 Mathematical equation: $ 4346^{+270}_{-277} $
Occurrenceb 100 3 0 0 0 100 100 100 100 94

Notes. Median values and 68% confidence-level intervals from the MCMC chains for a fixed cosmological model (flat ΛCDM with H0 = 70 km s−1 Mpc−1 and Ωm = 0.3 = 1 − ΩΛ).

a

With respect to the BCG luminosity center (RA = 24 . ° 5157032 Mathematical equation: $ 24{{\overset{\circ}{.}}}5157032 $, Dec = 21 . ° 9254791 Mathematical equation: $ -21{{\overset{\circ}{.}}}9254791 $) and positive in the west and north directions.

b

Percentage.

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