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Table C.2

Correlations between surviving disk and stellar properties at different ages of disk evolution considering the uniform stellar mass distribution, constructed in the same way as Table 10.

x y Time (Myr) r α β
log10 R12CO,90% (AU) log10 Mgas (M⊙) 1 0.591−0.009+0.009Mathematical equation: $\[0.591_{-0.009}^{+0.009}\]$ 1.469−0.029+0.029Mathematical equation: $\[1.469_{-0.029}^{+0.029}\]$ −5.306−0.067+0.067Mathematical equation: $\[-5.306_{-0.067}^{+0.067}\]$
3 0.542−0.011+0.010Mathematical equation: $\[0.542_{-0.011}^{+0.010}\]$ 1.287−0.031+0.031Mathematical equation: $\[1.287_{-0.031}^{+0.031}\]$ −4.961−0.071+0.073Mathematical equation: $\[-4.961_{-0.071}^{+0.073}\]$
5 0.512−0.012+0.011Mathematical equation: $\[0.512_{-0.012}^{+0.011}\]$ 1.211−0.034+0.033Mathematical equation: $\[1.211_{-0.034}^{+0.033}\]$ −4.805−0.078+0.079Mathematical equation: $\[-4.805_{-0.078}^{+0.079}\]$
10 0.506−0.012+0.013Mathematical equation: $\[0.506_{-0.012}^{+0.013}\]$ 1.202−0.036+0.036Mathematical equation: $\[1.202_{-0.036}^{+0.036}\]$ −4.794−0.084+0.086Mathematical equation: $\[-4.794_{-0.084}^{+0.086}\]$
log10 M⋆ (M⊙) log10 Mgas (M⊙) 1 0.574−0.010+0.009Mathematical equation: $\[0.574_{-0.010}^{+0.009}\]$ 1.279−0.027+0.026Mathematical equation: $\[1.279_{-0.027}^{+0.026}\]$ −1.830−0.012+0.012Mathematical equation: $\[-1.830_{-0.012}^{+0.012}\]$
3 0.532−0.011+0.011Mathematical equation: $\[0.532_{-0.011}^{+0.011}\]$ 1.225−0.030+0.030Mathematical equation: $\[1.225_{-0.030}^{+0.030}\]$ −1.902−0.013+0.012Mathematical equation: $\[-1.902_{-0.013}^{+0.012}\]$
5 0.505−0.012+0.012Mathematical equation: $\[0.505_{-0.012}^{+0.012}\]$ 1.186−0.032+0.034Mathematical equation: $\[1.186_{-0.032}^{+0.034}\]$ −1.929−0.014+0.013Mathematical equation: $\[-1.929_{-0.014}^{+0.013}\]$
10 0.493−0.013+0.013Mathematical equation: $\[0.493_{-0.013}^{+0.013}\]$ 1.185−0.037+0.038Mathematical equation: $\[1.185_{-0.037}^{+0.038}\]$ −1.949−0.014+0.014Mathematical equation: $\[-1.949_{-0.014}^{+0.014}\]$
log10 M⋆ (M⊙) log10 ϵ = Mgas/M⋆ 1 0.151−0.014+0.014Mathematical equation: $\[0.151_{-0.014}^{+0.014}\]$ 0.278−0.026+0.027Mathematical equation: $\[0.278_{-0.026}^{+0.027}\]$ −1.830−0.012+0.013Mathematical equation: $\[-1.830_{-0.012}^{+0.013}\]$
3 0.115−0.016+0.015Mathematical equation: $\[0.115_{-0.016}^{+0.015}\]$ 0.225−0.030+0.030Mathematical equation: $\[0.225_{-0.030}^{+0.030}\]$ −1.902−0.013+0.013Mathematical equation: $\[-1.902_{-0.013}^{+0.013}\]$
5 0.092−0.016+0.016Mathematical equation: $\[0.092_{-0.016}^{+0.016}\]$ 0.187−0.033+0.033Mathematical equation: $\[0.187_{-0.033}^{+0.033}\]$ −1.929−0.013+0.013Mathematical equation: $\[-1.929_{-0.013}^{+0.013}\]$
10 0.088−0.017+0.018Mathematical equation: $\[0.088_{-0.017}^{+0.018}\]$ 0.186−0.037+0.036Mathematical equation: $\[0.186_{-0.037}^{+0.036}\]$ −1.949−0.014+0.015Mathematical equation: $\[-1.949_{-0.014}^{+0.015}\]$
log10 FUV (G0) log10 Mgas (M⊙) 1 0.038−0.015+0.015Mathematical equation: $\[0.038_{-0.015}^{+0.015}\]$ 0.081−0.032+0.032Mathematical equation: $\[0.081_{-0.032}^{+0.032}\]$ −2.078−0.040+0.040Mathematical equation: $\[-2.078_{-0.040}^{+0.040}\]$
3 0.029−0.016+0.015Mathematical equation: $\[0.029_{-0.016}^{+0.015}\]$ 0.061−0.033+0.033Mathematical equation: $\[0.061_{-0.033}^{+0.033}\]$ −2.063−0.040+0.041Mathematical equation: $\[-2.063_{-0.040}^{+0.041}\]$
5 0.043−0.017+0.016Mathematical equation: $\[0.043_{-0.017}^{+0.016}\]$ 0.090−0.034+0.035Mathematical equation: $\[0.090_{-0.034}^{+0.035}\]$ −2.094−0.042+0.043Mathematical equation: $\[-2.094_{-0.042}^{+0.043}\]$
10 0.057−0.018+0.017Mathematical equation: $\[0.057_{-0.018}^{+0.017}\]$ 0.119−0.036+0.037Mathematical equation: $\[0.119_{-0.036}^{+0.037}\]$ −2.116−0.045+0.045Mathematical equation: $\[-2.116_{-0.045}^{+0.045}\]$
log10 M⋆ (M⊙) log10 R12CO,90% (AU) 1 0.875−0.004+0.003Mathematical equation: $\[0.875_{-0.004}^{+0.003}\]$ 0.784−0.006+0.007Mathematical equation: $\[0.784_{-0.006}^{+0.007}\]$ 2.357−0.003+0.003Mathematical equation: $\[2.357_{-0.003}^{+0.003}\]$
3 0.881−0.004+0.003Mathematical equation: $\[0.881_{-0.004}^{+0.003}\]$ 0.853−0.007+0.007Mathematical equation: $\[0.853_{-0.007}^{+0.007}\]$ 2.369−0.004+0.003Mathematical equation: $\[2.369_{-0.004}^{+0.003}\]$
5 0.881−0.004+0.003Mathematical equation: $\[0.881_{-0.004}^{+0.003}\]$ 0.874−0.008+0.008Mathematical equation: $\[0.874_{-0.008}^{+0.008}\]$ 2.370−0.003+0.003Mathematical equation: $\[2.370_{-0.003}^{+0.003}\]$
10 0.887−0.004+0.003Mathematical equation: $\[0.887_{-0.004}^{+0.003}\]$ 0.898−0.008+0.008Mathematical equation: $\[0.898_{-0.008}^{+0.008}\]$ 2.364−0.003+0.004Mathematical equation: $\[2.364_{-0.003}^{+0.004}\]$
log10 FUV (G0) log10 R12CO,90% (AU) 1 −0.181−0.014+0.014Mathematical equation: $\[-0.181_{-0.014}^{+0.014}\]$ −0.155−0.013+0.012Mathematical equation: $\[-0.155_{-0.013}^{+0.012}\]$ 2.445−0.016+0.015Mathematical equation: $\[2.445_{-0.016}^{+0.015}\]$
3 −0.215−0.015+0.015Mathematical equation: $\[-0.215_{-0.015}^{+0.015}\]$ −0.192−0.013+0.014Mathematical equation: $\[-0.192_{-0.013}^{+0.014}\]$ 2.529−0.017+0.016Mathematical equation: $\[2.529_{-0.017}^{+0.016}\]$
5 −0.219−0.016+0.015Mathematical equation: $\[-0.219_{-0.016}^{+0.015}\]$ −0.196−0.014+0.014Mathematical equation: $\[-0.196_{-0.014}^{+0.014}\]$ 2.549−0.017+0.018Mathematical equation: $\[2.549_{-0.017}^{+0.018}\]$
10 −0.218−0.017+0.018Mathematical equation: $\[-0.218_{-0.017}^{+0.018}\]$ −0.192−0.015+0.015Mathematical equation: $\[-0.192_{-0.015}^{+0.015}\]$ 2.560−0.019+0.018Mathematical equation: $\[2.560_{-0.019}^{+0.018}\]$
log10 M⋆ (M⊙) log10 FUV (G0) 1 0.046−0.014+0.015Mathematical equation: $\[0.046_{-0.014}^{+0.015}\]$ 0.049−0.015+0.015Mathematical equation: $\[0.049_{-0.015}^{+0.015}\]$ 1.176−0.007+0.007Mathematical equation: $\[1.176_{-0.007}^{+0.007}\]$
3 0.034−0.015+0.016Mathematical equation: $\[0.034_{-0.015}^{+0.016}\]$ 0.037−0.017+0.017Mathematical equation: $\[0.037_{-0.017}^{+0.017}\]$ 1.163−0.007+0.007Mathematical equation: $\[1.163_{-0.007}^{+0.007}\]$
5 0.046−0.017+0.015Mathematical equation: $\[0.046_{-0.017}^{+0.015}\]$ 0.051−0.018+0.017Mathematical equation: $\[0.051_{-0.018}^{+0.017}\]$ 1.151−0.007+0.008Mathematical equation: $\[1.151_{-0.007}^{+0.008}\]$
10 0.060−0.017+0.018Mathematical equation: $\[0.060_{-0.017}^{+0.018}\]$ 0.069−0.020+0.020Mathematical equation: $\[0.069_{-0.020}^{+0.020}\]$ 1.143−0.008+0.008Mathematical equation: $\[1.143_{-0.008}^{+0.008}\]$
log10 M⋆ (M⊙) log10 Rc (AU) 1 0.054−0.015+0.015Mathematical equation: $\[0.054_{-0.015}^{+0.015}\]$ 0.046−0.013+0.012Mathematical equation: $\[0.046_{-0.013}^{+0.012}\]$ 1.638−0.005+0.006Mathematical equation: $\[1.638_{-0.005}^{+0.006}\]$
3 0.070−0.015+0.015Mathematical equation: $\[0.070_{-0.015}^{+0.015}\]$ 0.063−0.014+0.013Mathematical equation: $\[0.063_{-0.014}^{+0.013}\]$ 1.636−0.005+0.006Mathematical equation: $\[1.636_{-0.005}^{+0.006}\]$
5 0.083−0.016+0.016Mathematical equation: $\[0.083_{-0.016}^{+0.016}\]$ 0.076−0.015+0.015Mathematical equation: $\[0.076_{-0.015}^{+0.015}\]$ 1.635−0.006+0.007Mathematical equation: $\[1.635_{-0.006}^{+0.007}\]$
10 0.102−0.017+0.017Mathematical equation: $\[0.102_{-0.017}^{+0.017}\]$ 0.098−0.017+0.016Mathematical equation: $\[0.098_{-0.017}^{+0.016}\]$ 1.634−0.007+0.006Mathematical equation: $\[1.634_{-0.007}^{+0.006}\]$
log10 M⋆ (M⊙) log10 α 1 0.136−0.015+0.014Mathematical equation: $\[0.136_{-0.015}^{+0.014}\]$ 0.261−0.028+0.028Mathematical equation: $\[0.261_{-0.028}^{+0.028}\]$ −3.545−0.013+0.012Mathematical equation: $\[-3.545_{-0.013}^{+0.012}\]$
3 0.240−0.015+0.014Mathematical equation: $\[0.240_{-0.015}^{+0.014}\]$ 0.467−0.030+0.029Mathematical equation: $\[0.467_{-0.030}^{+0.029}\]$ −3.641−0.013+0.012Mathematical equation: $\[-3.641_{-0.013}^{+0.012}\]$
5 0.268−0.015+0.015Mathematical equation: $\[0.268_{-0.015}^{+0.015}\]$ 0.514−0.030+0.030Mathematical equation: $\[0.514_{-0.030}^{+0.030}\]$ −3.731−0.013+0.012Mathematical equation: $\[-3.731_{-0.013}^{+0.012}\]$
10 0.288−0.016+0.016Mathematical equation: $\[0.288_{-0.016}^{+0.016}\]$ 0.516−0.029+0.031Mathematical equation: $\[0.516_{-0.029}^{+0.031}\]$ −3.883−0.012+0.011Mathematical equation: $\[-3.883_{-0.012}^{+0.011}\]$

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