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Table C.1.

Parameters and their one-dimensional uncertainties for their scaling relations assuming normal scatter.

Relation Min. cts. Aμ Bμ Cμ Aσ Bσ Cσ
c500 50 −0.6812 ± 0.0068 0.227 ± 0.014 −0.72 ± 0.19 −0.622 ± 0.011 0.032 ± 0.014 −2.36 ± 0.32
c500 50 −0.6637 ± 0.0062 0.1426 ± 0.0092 0.05 ± 0.17 −0.6266 ± 0.0088 0 0
c500 100 −0.660 ± 0.011 0.208 ± 0.019 −0.73 ± 0.36 −0.588 ± 0.014 0 0
c500* 50 −0.6179 ± 0.0057 0.181 ± 0.014 −0.54 ± 0.19 −0.695 ± 0.012 −0.004 ± 0.019 −1.81 ± 0.37
c500* 50 −0.6103 ± 0.0054 0.1480 ± 0.0097 −0.28 ± 0.15 −0.6830 ± 0.0093 0 0
c500* 100 −0.6271 ± 0.0096 0.191 ± 0.018 −0.75 ± 0.34 −0.651 ± 0.013 0 0
c80 − 800 50 −0.7924 ± 0.0087 0.089 ± 0.023 0.08 ± 0.28 −0.531 ± 0.012 −0.021 ± 0.025 −0.80 ± 0.39
c80 − 800 50 −0.7860 ± 0.0080 0.068 ± 0.020 0.04 ± 0.29 −0.524 ± 0.011 0 0
c80 − 800 100 −0.769 ± 0.012 0.057 ± 0.026 −0.05 ± 0.42 −0.519 ± 0.013 0 0
c80 − 800* 50 −0.6921 ± 0.0063 −0.002 ± 0.017 0.59 ± 0.21 −0.651 ± 0.012 0.049 ± 0.025 −1.80 ± 0.42
c80 − 800* 50 −0.6920 ± 0.0065 −0.002 ± 0.016 0.57 ± 0.23 −0.625 ± 0.011 0 0
c80 − 800* 100 −0.711 ± 0.011 0.034 ± 0.021 0.10 ± 0.37 −0.599 ± 0.013 0 0
α 50 0.8394 ± 0.0101 −0.276 ± 0.016 2.55 ± 0.31 −0.706 ± 0.023 0 . 406 − 0.037 + 0.054 $ 0.406^{+0.054}_{-0.037} $ −4.08 ± 0.75
α 50 0.829 ± 0.010 −0.186 ± 0.019 1.57 ± 0.32 −0.634 ± 0.016 0 0
α 100 0.769 ± 0.019 −0.115 ± 0.029 0.53 ± 0.62 −0.530 ± 0.019 0 0
α* 50 0.9603 ± 0.0060 −0.173 ± 0.012 1.75 ± 0.19 −0.947 ± 0.036 0.293 ± 0.031 −6.85 ± 1.18
α* 50 0.9575 ± 0.0064 −0.160 ± 0.013 1.57 ± 0.22 −0.827 ± 0.015 0 0
α* 100 0.894 ± 0.013 −0.099 ± 0.020 0.59 ± 0.44 −0.708 ± 0.019 0 0
α50 50 0.841 ± 0.010 −0.246 ± 0.017 2.24 ± 0.34 −0.678 ± 0.021 0.318 ± 0.032 −3.79 ± 0.76
α50 50 0.825 ± 0.011 −0.149 ± 0.018 1.15 ± 0.33 −0.624 ± 0.015 0 0
α50 100 0.759 ± 0.018 −0.088 ± 0.026 −0.29 ± 0.56 −0.548 ± 0.018 0 0
α50* 50 0.9697 ± 0.0060 −0.167 ± 0.012 1.70 ± 0.20 −0.908 ± 0.038 0.261 ± 0.033 −5.86 ± 1.34
α50* 50 0.9633 ± 0.0065 −0.152 ± 0.012 1.45 ± 0.22 −0.816 ± 0.015 0 0
α50* 100 0.889 ± 0.012 −0.092 ± 0.019 0.07 ± 0.41 −0.714 ± 0.018 0 0
ns, 0 50 1.0585 ± 0.0043 0.213 ± 0.011 0.13 ± 0.15 −0.883 ± 0.014 0.235 ± 0.028 −4.40 ± 0.53
ns, 0 50 1.0511 ± 0.0046 0.2559 ± 0.0097 −0.47 ± 0.16 −0.827 ± 0.010 0 0
ns, 0 100 1.0302 ± 0.0082 0.292 ± 0.016 −0.53 ± 0.29 −0.743 ± 0.014 0 0
ns, 0* 50 1.1046 ± 0.0032 0.2314 ± 0.0078 0.00 ± 0.11 −0.998 ± 0.016 0.207 ± 0.025 −4.88 ± 0.62
ns, 0* 50 1.0993 ± 0.0035 0.2473 ± 0.0077 −0.30 ± 0.12 −0.9287 ± 0.0098 0 0
ns, 0* 100 1.0731 ± 0.0066 0.291 ± 0.012 −0.50 ± 0.24 −0.846 ± 0.012 0 0
n50 50 −2.2971 ± 0.0038 0.4465 ± 0.0080 0.79 ± 0.11 −0.963 ± 0.015 0.386 ± 0.037 −5.69 ± 0.55
n50 50 −2.3091 ± 0.0041 0.4889 ± 0.0079 0.33 ± 0.13 −0.879 ± 0.011 0 0
n50 100 −2.3110 ± 0.0071 0.494 ± 0.013 0.64 ± 0.25 −0.793 ± 0.014 0 0
n50* 50 −2.2598 ± 0.0028 0.4623 ± 0.0062 0.644 ± 0.091 −1.107 ± 0.023 0.415 ± 0.036 −7.13 ± 0.85
n50* 50 −2.2683 ± 0.0029 0.4809 ± 0.0065 0.445 ± 0.100 −0.987 ± 0.011 0 0
n50* 100 −2.2786 ± 0.0057 0.496 ± 0.011 0.54 ± 0.21 −0.885 ± 0.013 0 0
ϵ 50 0.775 ± 0.015 0.016 ± 0.020 −0.41 ± 0.40 −0.956 ± 0.056 −0.371 ± 0.096 3.40 ± 1.60
ϵ 50 0.763 ± 0.011 0.071 ± 0.018 −1.08 ± 0.26 −0.971 ± 0.042 0 0
ϵ 100 0.752 ± 0.012 0.058 ± 0.017 −0.88 ± 0.32 −1.056 ± 0.049 0 0
H 50 −0.082 ± 0.079 0.05 ± 0.29 1 . 30 − 1.46 + 2.81 $ 1.30^{+2.81}_{-1.46} $ −0.556 ± 0.043 − 0 . 255 − 0.063 + 0.217 $ -0.255^{+0.217}_{-0.063} $ 2.28 ± 1.27
H 50 − 0 . 119 − 0.061 + 0.075 $ -0.119^{+0.075}_{-0.061} $ −0.441 ± 0.062 5.54 ± 0.83 −0.539 ± 0.034 0 0
H 100 0.030 ± 0.097 −0.299 ± 0.077 5 . 41 − 1.19 + 1.51 $ 5.41^{+1.51}_{-1.19} $ −0.607 ± 0.067 0 0

Notes. The value and uncertainties are the median and 1σ ranges from the posterior probability distributions.

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