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Table 1.

Most likely parameters for a single SZ component, modeled with a gNFW (upper) and the empirical formalism (lower).

ALMA+ACA: Single theoretical-model posterior values

Model type |Δ ln𝒵| σ eff ( ) $ \sigma_{\mathrm{eff}}^{(\dagger)} $ ΔRA ΔDec P0 rs e PA α β γ
[″] [″] [keV cm−3] [°] [°]
gNFW 59.9 10.9 0 . 5 0.9 + 0.9 $ -0.5^{+0.9}_{-0.9} $ 11 . 0 1.2 + 1.2 $ 11.0^{+1.2}_{-1.2} $ 0 . 07 0.02 + 0.02 $ 0.07^{+0.02}_{-0.02} $ 0 . 011 0.002 + 0.003 $ 0.011^{+0.003}_{-0.002} $ 0.00 0.0 1.0510 5.4905 0.3081
gNFW 59.8 10.9 0 . 9 1.0 + 1.0 $ -0.9^{+1.0}_{-1.0} $ 10 . 7 1.2 + 1.2 $ 10.7^{+1.2}_{-1.2} $ 0 . 48 0.29 + 0.31 $ 0.48^{+0.31}_{-0.29} $ 0 . 007 0.001 + 0.002 $ 0.007^{+0.002}_{-0.001} $ 0.00 0.0 1.0510 5.4905 0 . 51 0.29 + 0.44 $ -0.51^{+0.44}_{-0.29} $
gNFW 59.5 10.9 0 . 9 1.0 + 0.9 $ -0.9^{+0.9}_{-1.0} $ 10 . 7 1.2 + 1.2 $ 10.7^{+1.2}_{-1.2} $ 0 . 43 0.26 + 0.34 $ 0.43^{+0.34}_{-0.26} $ 0 . 010 0.004 + 0.004 $ 0.010^{+0.004}_{-0.004} $ 0.00 0.0 1.0510 7 . 1 2.5 + 1.9 $ 7.1^{+1.9}_{-2.5} $ 0 . 44 0.30 + 0.42 $ -0.44^{+0.42}_{-0.30} $
gNFW 57.7 10.7 0 . 8 1.0 + 1.0 $ -0.8^{+1.0}_{-1.0} $ 10 . 7 1.2 + 1.4 $ 10.7^{+1.4}_{-1.2} $ 0 . 18 0.13 + 0.38 $ 0.18^{+0.38}_{-0.13} $ 0 . 008 0.004 + 0.008 $ 0.008^{+0.008}_{-0.004} $ 0.00 0.0 1 . 3 0.4 + 2.1 $ 1.3^{+2.1}_{-0.4} $ 5 . 8 3.0 + 2.5 $ 5.8^{+2.5}_{-3.0} $ 0 . 17 0.42 + 0.53 $ -0.17^{+0.53}_{-0.42} $
gNFW 62.0 11.1 0 . 4 0.8 + 0.8 $ -0.4^{+0.8}_{-0.8} $ 10 . 9 1.3 + 1.3 $ 10.9^{+1.3}_{-1.3} $ 0 . 11 0.03 + 0.04 $ 0.11^{+0.04}_{-0.03} $ 0 . 014 0.002 + 0.003 $ 0.014^{+0.003}_{-0.002} $ 0 . 52 0.15 + 0.12 $ 0.52^{+0.12}_{-0.15} $ 0 . 0 10 + 10 $ -0.0^{+10}_{-10} $ 1.0510 5.4905 0.3081
gNFW 60.7 11.0 0 . 8 1.0 + 0.9 $ -0.8^{+0.9}_{-1.0} $ 10 . 7 1.4 + 1.3 $ 10.7^{+1.3}_{-1.4} $ 0 . 39 0.22 + 0.36 $ 0.39^{+0.36}_{-0.22} $ 0 . 009 0.002 + 0.003 $ 0.009^{+0.003}_{-0.002} $ 0 . 51 0.16 + 0.13 $ 0.51^{+0.13}_{-0.16} $ 1 . 0 11 + 11 $ -1.0^{+11}_{-11} $ 1.0510 5.4905 0 . 25 0.35 + 0.39 $ -0.25^{+0.39}_{-0.35} $
gNFW 60.8 11.0 0 . 8 1.0 + 0.9 $ -0.8^{+0.9}_{-1.0} $ 10 . 6 1.3 + 1.4 $ 10.6^{+1.4}_{-1.3} $ 0 . 42 0.24 + 0.34 $ 0.42^{+0.34}_{-0.24} $ 0 . 013 0.005 + 0.005 $ 0.013^{+0.005}_{-0.005} $ 0 . 50 0.16 + 0.12 $ 0.50^{+0.12}_{-0.16} $ 1 . 5 11 + 11 $ -1.5^{+11}_{-11} $ 1.0510 7 . 2 2.4 + 1.8 $ 7.2^{+1.8}_{-2.4} $ 0 . 28 0.31 + 0.37 $ -0.28^{+0.37}_{-0.31} $
gNFW 59.5 10.9 0 . 9 0.9 + 0.9 $ -0.9^{+0.9}_{-0.9} $ 10 . 5 1.4 + 1.3 $ 10.5^{+1.3}_{-1.4} $ 0 . 17 0.10 + 0.28 $ 0.17^{+0.28}_{-0.10} $ 0 . 007 0.003 + 0.007 $ 0.007^{+0.007}_{-0.003} $ 0 . 52 0.16 + 0.12 $ 0.52^{+0.12}_{-0.16} $ 3 . 0 11 + 11 $ -3.0^{+11}_{-11} $ 1 . 8 0.80 + 3.5 $ 1.8^{+3.5}_{-0.80} $ 5 . 1 2.7 + 2.9 $ 5.1^{+2.9}_{-2.7} $ 0 . 11 0.48 + 0.56 $ -0.11^{+0.56}_{-0.48} $

ALMA+ACA: Single empirical-model posterior values

Model type |Δ ln𝒵| σ eff ( ) $ \sigma_{\mathrm{eff}}^{(\dagger)} $ ΔRA ΔDec log M500, c e PA α β γ
[″] [″] [M] [°]
A10-UPP 62.3 11.2 0 . 3 0.9 + 0.8 $ -0.3^{+0.8}_{-0.9} $ 11 . 0 1.2 + 1.3 $ 11.0^{+1.3}_{-1.2} $ 14 . 01 0.03 + 0.03 $ 14.01^{+0.03}_{-0.03} $ 0.00 0.00 1.0510 5.4905 0.3081
A10-MD 62.6 11.2 0 . 8 1.0 + 1.0 $ -0.8^{+1.0}_{-1.0} $ 11 . 0 1.3 + 1.3 $ 11.0^{+1.3}_{-1.3} $ 14 . 00 0.04 + 0.04 $ 14.00^{+0.04}_{-0.04} $ 0.00 0.00 1.4063 5.4905 0.3798
A10-CC 59.5 10.9 0 . 2 0.9 + 0.9 $ ~~~0.2^{+0.9}_{-0.9} $ 10 . 9 1.4 + 1.5 $ 10.9^{+1.5}_{-1.4} $ 13 . 87 0.04 + 0.03 $ 13.87^{+0.03}_{-0.04} $ 0.00 0.00 1.2223 5.4905 0.7736
M14-UPP 62.5 11.2 1 . 1 1.0 + 1.0 $ -1.1^{+1.0}_{-1.0} $ 10 . 7 1.3 + 1.3 $ 10.7^{+1.3}_{-1.3} $ 14 . 12 0.04 + 0.04 $ 14.12^{+0.04}_{-0.04} $ 0.00 0.00 2.2700 3.4800 0.1500
M14-MD 62.3 11.2 1 . 2 1.0 + 1.0 $ -1.2^{+1.0}_{-1.0} $ 10 . 9 1.3 + 1.4 $ 10.9^{+1.4}_{-1.3} $ 14 . 10 0.04 + 0.04 $ 14.10^{+0.04}_{-0.04} $ 0.00 0.00 1.7000 5.7400 0.0500
M14-CC 62.7 11.2 0 . 9 1.0 + 1.0 $ -0.9^{+1.0}_{-1.0} $ 10 . 7 1.3 + 1.3 $ 10.7^{+1.3}_{-1.3} $ 14 . 11 0.04 + 0.04 $ 14.11^{+0.04}_{-0.04} $ 0.00 0.00 2.3000 3.3400 0.2100
A10-UPP 63.8 11.3 0 . 3 0.8 + 0.8 $ -0.3^{+0.8}_{-0.8} $ 10 . 9 1.3 + 1.2 $ 10.9^{+1.2}_{-1.3} $ 14 . 17 0.09 + 0.10 $ 14.17^{+0.10}_{-0.09} $ 0 . 49 0.18 + 0.14 $ 0.49^{+0.14}_{-0.18} $ 1 . 6 12 + 18 $ -1.6^{+18}_{-12} $ 1.0510 5.4905 0.3081
A10-MD 64.3 11.3 0 . 8 0.9 + 0.9 $ -0.8^{+0.9}_{-0.9} $ 10 . 9 1.4 + 1.4 $ 10.9^{+1.4}_{-1.4} $ 14 . 17 0.09 + 0.10 $ 14.17^{+0.10}_{-0.09} $ 0 . 47 0.17 + 0.13 $ 0.47^{+0.13}_{-0.17} $ 0 . 4 17 + 16 $ ~~~0.4^{+16}_{-17} $ 1.4063 5.4905 0.3798
A10-CC 61.5 11.1 0 . 2 0.7 + 0.7 $ ~~~0.2^{+0.7}_{-0.7} $ 11 . 0 1.3 + 1.3 $ 11.0^{+1.3}_{-1.3} $ 14 . 13 0.12 + 0.12 $ 14.13^{+0.12}_{-0.12} $ 0 . 57 0.17 + 0.12 $ 0.57^{+0.12}_{-0.17} $ 4 . 3 17 + 10 $ -4.3^{+10}_{-17} $ 1.2223 5.4905 0.7736
M14-UPP 64.1 11.3 1 . 1 0.9 + 0.9 $ -1.1^{+0.9}_{-0.9} $ 10 . 6 1.4 + 1.3 $ 10.6^{+1.3}_{-1.4} $ 14 . 30 0.09 + 0.10 $ 14.30^{+0.10}_{-0.09} $ 0 . 47 0.16 + 0.13 $ 0.47^{+0.13}_{-0.16} $ 1 . 3 11 + 11 $ -1.3^{+11}_{-11} $ 2.2700 3.4800 0.1500
M14-MD 64.0 11.3 1 . 3 0.9 + 0.9 $ -1.3^{+0.9}_{-0.9} $ 10 . 7 1.4 + 1.4 $ 10.7^{+1.4}_{-1.4} $ 14 . 29 0.09 + 0.10 $ 14.29^{+0.10}_{-0.09} $ 0 . 48 0.16 + 0.12 $ 0.48^{+0.12}_{-0.16} $ 0 . 8 10 + 10 $ -0.8^{+10}_{-10} $ 1.7000 5.7400 0.0500
M14-CC 64.4 11.4 1 . 0 0.9 + 0.9 $ -1.0^{+0.9}_{-0.9} $ 10 . 5 1.3 + 1.3 $ 10.5^{+1.3}_{-1.3} $ 14 . 29 0.09 + 0.09 $ 14.29^{+0.09}_{-0.09} $ 0 . 48 0.17 + 0.12 $ 0.48^{+0.12}_{-0.17} $ 2 . 1 11 + 11 $ -2.1^{+11}_{-11} $ 2.3000 3.3400 0.2100

Notes. Every row corresponds to a unique run in which we varied the parameters that are listed with uncertainties. The uncertainties on the derived parameters are given as the 16th and 84th quantiles. Corner plots of these runs are shown in the supplementary material. The coordinate centers ΔRA and ΔDec are given with respect to the BCG, which is located at an RA and Dec of 2° 17′44″​​.2128, −3° 45′31″​​.68. ( † ) The effective significance is computed via Eq. (11).

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