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Table B.2.

Properties of X-ray-emitting gas under different assumptions.

log(M200m/M) log(M200m/M) log(M200m/M)
12.5 − 13.0 13.0 − 13.5 13.5 − 14.0
Fiducial T [keV] 0.2 0.43 0.82
β 0.39 ± 0.03 0.39 ± 0.02 0.38 ± 0.01
rc [kpc] 7 4 + 6 $ 7_{-4}^{+6} $ 11 ± 3 16 ± 3
Mvir [M] 5 × 1012 1.6 × 1013 4.3 × 1013
M500c [M] 3.2 × 1012 1.0 × 1013 2.6 × 1013
Rvir [kpc] 419 611 839
R500c [kpc] 221 320 437
fX − ray − emitting, < Rvir 0.048 ± 0.004 0.042 ± 0.002 0.046 ± 0.001
fX − ray − emitting, < R500c 0.023 ± 0.002 0.020 ± 0.001 0.022 ± 0.001

Modified Vikhlinin β 0 . 38 0.09 + 0.04 $ 0.38^{+0.04}_{-0.09} $ 0 . 38 0.04 + 0.02 $ 0.38^{+0.02}_{-0.04} $ 0.36 ± 0.03
rc [kpc] 7 4 + 7 $ 7_{-4}^{+7} $ 10 ± 4 13 4 + 5 $ 13_{-4}^{+5} $
ϵ - - -
rs [kpc]
fX − ray − emitting, < Rvir 0.049 ± .005 0.043 ± 0.002 0.050 ± 0.002
fX − ray − emitting, < R500c 0.024 ± 0.002 0.021 ± 0.001 0.024 ± 0.001

T M 500 c 0.57 $ T \propto M_{\mathrm{500c}}^{0.57} $ T [keV] 0.33 0.62 1.1
fX − ray − emitting, < Rvir 0.038 ± 0.003 0.037 ± 0.001 0.051 ± 0.001
fX − ray − emitting, < R500c 0.019 ± 0.001 0.018 ± 0.001 0.025 ± 0.001

T M 500 c 0.66 $ T \propto M_{\mathrm{500c}}^{0.66} $ T [keV] 0.22 0.46 0.86
fX − ray − emitting, < Rvir 0.046 ± 0.004 0.041 ± 0.002 0.047 ± 0.001
fX − ray − emitting, < R500c 0.022 ± 0.002 0.020 ± 0.001 0.023 ± 0.001

Lognormal T Tmean [keV] 0.21 0.45 0.86
fX − ray − emitting, < Rvir 0.049 ± 0.004 0.042 ± 0.002 0.049 ± 0.001
fX − ray − emitting, < R500c 0.023 ± 0.002 0.020 ± 0.001 0.024 ± 0.001

ExpCGM α0 0.8 ± 0.1 0.79 ± 0.04 0.66 ± 0.02
α1 0.9 ± 0.2 1.1 ± 0.1 1.7 ± 0.1
fX − ray − emitting, < Rvir 0.049 ± 0.004 0.043 ± 0.002 0.050 ± 0.002

log(Mvir)+0.1 dex T [keV] Fiducial Fiducial Fiducial
fX − ray − emitting, < Rvir 0.040 ± 0.003 0.036 ± 0.002 0.044 ± 0.001
fX − ray − emitting, < R500c 0.019 ± 0.001 0.018 ± 0.001 0.022 ± 0.001
T M 500 c 0.62 $ T \propto M_{\mathrm{500c}}^{0.62} $ 0.3 0.6 1.09
fX − ray − emitting, < Rvir 0.036 ± 0.003 0.034 ± 0.001 0.047 ± 0.001
fX − ray − emitting, < R500c 0.017 ± 0.001 0.017 ± 0.001 0.023 ± 0.001

log(Mvir)−0.1 dex T [keV] Fiducial Fiducial Fiducial
fX − ray − emitting, < Rvir 0.059 ± 0.005 0.049 ± 0.002 0.050 ± 0.001
fX − ray − emitting, < R500c 0.028 ± 0.002 0.024 ± 0.001 0.024 ± 0.001
T M 500 c 0.62 $ T \propto M_{\mathrm{500c}}^{0.62} $ 0.23 0.46 0.83
fX − ray − emitting, < Rvir 0.049 ± 0.004 0.045 ± 0.002 0.051 ± 0.001
fX − ray − emitting, < R500c 0.023 ± 0.002 0.022 ± 0.001 0.025 ± 0.001

log(Mvir)+0.2 dex T [keV] Fiducial Fiducial Fiducial
fX − ray − emitting, < Rvir 0.034 ± 0.003 0.032 ± 0.001 0.043 ± 0.001
fX − ray − emitting, < R500c 0.017 ± 0.001 0.016 ± 0.001 0.021 ± 0.001
T M 500 c 0.62 $ T \propto M_{\mathrm{500c}}^{0.62} $ 0.34 0.69 1.25
fX − ray − emitting, < Rvir 0.031 ± 0.003 0.031 ± 0.001 0.046 ± 0.001
fX − ray − emitting, < R500c 0.015 ± 0.001 0.015 ± 0.001 0.022 ± 0.001

log(Mvir)−0.2 dex T [keV] Fiducial Fiducial Fiducial
fX − ray − emitting, < Rvir 0.075 ± 0.006 0.057 ± 0.002 0.056 ± 0.001
fX − ray − emitting, < R500c 0.036 ± 0.002 0.028 ± 0.001 0.027 ± 0.001
T M 500 c 0.62 $ T \propto M_{\mathrm{500c}}^{0.62} $ 0.2 0.4 0.7
fX − ray − emitting, < Rvir 0.058 ± 0.004 0.052 ± 0.002 0.055 ± 0.001
fX − ray − emitting, < R500c 0.028 ± 0.002 0.025 ± 0.001 0.027 ± 0.001

Z(R) fX − ray − emitting, < Rvir 0.050 ± 0.004 0.043 ± 0.002 0.048 ± 0.001
fX − ray − emitting, < R500c 0.023 ± 0.002 0.022 ± 0.001 0.024 ± 0.001
0.1 Z fX − ray − emitting, < Rvir 0.077 ± 0.006 0.061 ± 0.002 0.064 ± 0.002
fX − ray − emitting, < R500c 0.036 ± 0.002 0.030 ± 0.001 0.031 ± 0.001
Z fX − ray − emitting, < Rvir 0.027 ± 0.002 0.025 ± 0.001 0.029 ± 0.001
fX − ray − emitting, < R500c 0.013 ± 0.001 0.012 ± 0.001 0.014 ± 0.001

Notes. Same as Table B.1, but for the three halo mass bins and including values of fX − ray − emitting, < R500c (ratio between X-ray-emitting gas mass within R500c and M500c).

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