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Table B.1.

Main properties of the 43 radio halo clusters at z < 0.4 used to constrain the Pν − M relation taken from Cuciti et al. (2023) (and with X-ray morphological parameters in Zhang et al. (2023)), the sample listes as the first entry in Table 2.

Name z M500 (1014 M⊙) P150 MHz (1024 W Hz−1) I0 (μJy arcsec−2) Re (kpc) c w (10−1)
PSZ2G023.17+86.71 0.306 5.03 ± 0.56 9.76 ± 1.18 5.79 ± 0.34 232.8 ± 11.7 0.123 ± 0.010 0.217 ± 0.026
PSZ2G031.93+78.71 0.072 2.72 ± 0.24 2.28 ± 1.01 11.39 ± 0.20 78.7 ± 1.1 0.214 ± 0.002 0.283 ± 0.002
PSZ2G040.58+77.12 0.075 2.63 ± 0.22 0.60 ± 0.11 0.67 ± 0.10 165.3 ± 21.0 0.227 ± 0.006 0.061 ± 0.007
PSZ2G045.87+57.70 0.611 7.03 ± 0.68 21.1 ± 5.03 14.18 ± 1.90 89.0 ± 9.6 0.254 ± 0.005 0.218 ± 0.007
PSZ2G046.88+56.48 0.115 5.31 ± 0.23 8.36 ± 0.98 1.57 ± 0.07 369.9 ± 13.6 0.082 ± 0.004 0.234 ± 0.018
PSZ2G048.10+57.16 0.078 3.59 ± 0.21 5.43 ± 0.68 1.58 ± 0.05 463.4 ± 15.6 0.088 ± 0.003 0.591 ± 0.076
PSZ2G049.32+44.37 0.097 3.67 ± 0.26 1.73 ± 0.26 0.61 ± 0.05 281.2 ± 19.7 0.184 ± 0.006 0.109 ± 0.011
PSZ2G053.53+59.52 0.113 5.85 ± 0.23 13.20 ± 1.56 11.66 ± 0.11 171.5 ± 1.4 0.139 ± 0.003 0.132 ± 0.035
PSZ2G055.59+31.85 0.224 7.78 ± 0.31 5.29 ± 0.86 17.48 ± 0.71 72.3 ± 2.3 0.300 ± 0.015 0.056 ± 0.038
PSZ2G056.77+36.32 0.095 4.38 ± 0.20 1.95 ± 0.63 1.10 ± 0.10 223.3 ± 15.5 0.303 ± 0.010 0.039 ± 0.018
PSZ2G066.41+27.03 0.576 7.70 ± 0.53 172.00 ± 19.50 15.5 ± 0.42 374.5 ± 11.0 0.088 ± 0.009 0.275 ± 0.228
PSZ2G071.21+28.86 0.366 6.75 ± 0.45 34.10 ± 5.44 1.53 ± 0.13 490.3 ± 35.6 0.064 ± 0.004 0.129 ± 0.021
PSZ2G083.29-31.03 0.412 8.27 ± 0.44 36.70 ± 4.03 6.71 ± 0.28 226.5 ± 7.8 0.177 ± 0.013 0.297 ± 0.107
PSZ2G084.13-35.41 0.314 5.50 ± 0.58 19.70 ± 4.69 6.16 ± 0.31 201.8 ± 8.4 0.095 ± 0.006 0.379 ± 0.021
PSZ2G096.83+52.49 0.318 4.92 ± 0.37 16.20 ± 2.80 7.92 ± 0.23 211.0 ± 5.9 0.209 ± 0.004 0.087 ± 0.009
PSZ2G097.72+38.12 0.171 6.59 ± 0.16 11.90 ± 1.27 7.44 ± 0.14 183.2 ± 2.9 0.170 ± 0.007 0.321 ± 0.079
PSZ2G099.86+58.45 0.630 6.85 ± 0.49 38.70 ± 9.21 7.36 ± 0.49 163.2 ± 8.6 0.133 ± 0.010 0.215 ± 0.056
PSZ2G106.61+66.71 0.331 4.67 ± 0.56 7.07 ± 0.90 12.82 ± 0.52 81.7 ± 2.5 0.140 ± 0.032 0.508 ± 0.080
PSZ2G107.10+65.32 0.280 8.22 ± 0.28 71.60 ± 9.60 22.66 ± 1.44 251.1 ± 16.0 0.107 ± 0.006 0.861 ± 0.012
PSZ2G109.97+52.84 0.326 4.81 ± 0.38 6.18 ± 0.98 1.39 ± 0.16 233.5 ± 25.0 0.334 ± 0.005 0.082 ± 0.009
PSZ2G111.75+70.37 0.183 4.34 ± 0.33 2.90 ± 1.99 2.53 ± 0.14 218.1 ± 12.9 0.092 ± 0.007 0.571 ± 0.032
PSZ2G112.48+56.99 0.070 2.99 ± 0.15 0.67 ± 0.10 0.80 ± 0.05 160.7 ± 9.3 0.174 ± 0.005 0.046 ± 0.01
PSZ2G113.91-37.01 0.371 7.58 ± 0.55 63.8 ± 7.09 5.09 ± 0.23 365.3 ± 15.0 0.157 ± 0.016 0.460 ± 0.025
PSZ2G114.31+64.89 0.284 6.76 ± 0.37 18.3 ± 3.64 12.40 ± 0.59 143.9 ± 6.6 0.166 ± 0.027 0.128 ± 0.019
PSZ2G133.60+69.04 0.254 5.88 ± 0.40 34.3 ± 4.28 7.07 ± 0.17 377.1 ± 5.2 0.087 ± 0.009 0.380 ± 0.035
PSZ2G135.17+65.43 0.544 6.01 ± 0.60 54.6 ± 9.84 6.43 ± 0.5 232.7 ± 12.1 0.105 ± 0.019 0.472 ± 0.076
PSZ2G138.32-39.82 0.280 5.98 ± 0.56 8.22 ± 1.27 2.89 ± 0.24 201.7 ± 14.3 0.198 ± 0.007 0.132 ± 0.013
PSZ2G139.18+56.37 0.322 6.87 ± 0.38 147.0 ± 18.40 45.75 ± 0.25 170.2 ± 0.8 0.086 ± 0.006 0.470 ± 0.085
PSZ2G143.26+65.24 0.363 7.65 ± 0.43 16.8 ± 2.53 4.30 ± 0.27 206.5 ± 11.7 0.142 ± 0.026 0.246 ± 0.015
PSZ2G148.36+75.23 0.304 4.75 ± 0.50 6.07 ± 0.70 8.57 ± 0.58 96.6 ± 5.1 0.206 ± 0.009 0.527 ± 0.024
PSZ2G149.22+54.18 0.137 5.87 ± 0.22 16.4 ± 2.69 6.42 ± 0.11 246.1 ± 3.6 0.136 ± 0.003 0.037 ± 0.008
PSZ2G149.75+34.68 0.182 8.86 ± 0.32 56.2 ± 6.04 12.23 ± 0.08 303.9 ± 1.6 0.172 ± 0.003 0.613 ± 0.037
PSZ2G150.56+58.32 0.470 7.55 ± 0.51 56.5 ± 10.70 10.66 ± 0.37 315.3 ± 11.2 0.133 ± 0.016 0.316 ± 0.177
PSZ2G151.19+48.27 0.289 5.08 ± 0.47 13.4 ± 2.57 1.66 ± 0.13 335.5 ± 23.7 0.077 ± 0.009 0.241 ± 0.118
PSZ2G164.65+46.37 0.342 6.01 ± 0.55 9.56 ± 2.26 5.87 ± 0.33 217.1 ± 12.0 0.246 ± 0.010 0.605 ± 0.021
PSZ2G165.06+54.13 0.144 4.94 ± 0.28 3.51 ± 0.62 0.88 ± 0.06 305.0 ± 18.4 0.188 ± 0.005 0.177 ± 0.015
PSZ2G166.09+43.38 0.217 6.85 ± 0.32 16.5 ± 1.87 7.19 ± 0.16 202.0 ± 3.9 0.184 ± 0.007 0.183 ± 0.057
PSZ2G172.63+35.15 0.127 3.90 ± 0.34 2.99 ± 0.41 1.79 ± 0.16 202.5 ± 15.1 0.184 ± 0.009 0.201 ± 0.021
PSZ2G176.27+37.54 0.567 6.14 ± 0.86 9.62 ± 3.16 2.96 ± 1.05 139.6 ± 40.7 0.243 ± 0.017 0.190 ± 0.039
PSZ2G179.09+60.12 0.137 3.84 ± 0.33 1.89 ± 0.42 2.55 ± 0.22 133.0 ± 10.4 0.515 ± 0.006 0.065 ± 0.022
PSZ2G183.90+42.99 0.561 6.95 ± 0.74 75.5 ± 7.81 16.35 ± 0.39 167.6 ± 3.1 0.156 ± 0.005 0.182 ± 0.011
PSZ2G184.68+28.91 0.288 5.50 ± 0.52 1.94 ± 0.40 5.40 ± 0.93 70.7 ± 9.8 0.293 ± 0.015 0.079 ± 0.03
PSZ2G186.37+37.26 0.282 11.00 ± 0.37 23.0 ± 2.44 12.40 ± 0.43 162.2 ± 4.8 0.147 ± 0.008 0.099 ± 0.053
PSZ2G186.99+38.65 0.378 6.84 ± 0.52 30.0 ± 3.96 27.68 ± 0.90 106.1 ± 2.8 0.199 ± 0.008 0.385 ± 0.021
PSZ2G189.31+59.24 0.126 3.24 ± 0.31 10.9 ± 2.78 25.8 ± 0.39 102.3 ± 1.2 0.245 ± 0.004 0.476 ± 0.008
PSZ2G190.61+66.46 0.488 5.55 ± 0.65 36.3 ± 4.44 3.22 ± 0.23 290.5 ± 15.0 0.105 ± 0.016 0.287 ± 0.058
PSZ2G192.18+56.12 0.124 3.62 ± 0.30 0.81 ± 0.15 0.66 ± 0.10 174.9 ± 22.1 0.172 ± 0.007 0.170 ± 0.112
PSZ2G205.90+73.76 0.447 7.39 ± 0.55 30.1 ± 5.15 34.30 ± 1.53 103.3 ± 4.7 0.212 ± 0.018 0.135 ± 0.032

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