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Table A.1
Coefficients of the polynomial (Eq. A.1, first rows in the table with parameters Ak) and Gaussian (Eq. A.2, second part of the table with parameters P, Q, and R) equations for each magnitude range.
| Fitted uncertainty | Magnitude range | A0 | A1 | A2 | A3 | A4 | A5 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| log(σBP) | 6 < GBP < 21 | −0.37163 | −0.58637 | 0.029 | 0.00009912 | −0.000009925 | – | ||||||
| log(σRP) | 6 < GRP < 21 | −1.4672 | 0.01385 | −0.0958 | 0.011478 | −0.0004767 | 0.00000719 | ||||||
| Fitted uncertainty | Magnitude range | A0 | A1 | A2 | A3 | A4 | A5 | ||||||
| log(σG) | 4 ≤ G < 7.5313 | −4.31185 | 1.39006 | −0.32577 | 0.020446 | – | – | ||||||
| log(σG) | 11.7230 ≤ G < 12.7819 | 467.32190 | −114.01847 | 9.19605 | −0.247111 | – | – | ||||||
| log(σG) | 13. 2107 ≤ G | −363.52090 | 113.42543 | −14.20340 | 0.88228 | −0.027177 | 0.00033255 | ||||||
| Fitted uncertainty | Magnitude range | R | Q | P | |||||||||
| ln[log(σG) + 4] | 7.5313 ≤ G < 9.5060 | −12.16197 | 2.83670 | −0.17781 | – | – | – | ||||||
| ln[log(σG) + 4] | 9.5060 ≤ G < 10.7513 | −98.88558 | 19.38812 | −0.95925 | – | – | – | ||||||
| ln[log(σG) + 4] | 10.7513 ≤ G < 11.7230 | −241.49901 | 42.51819 | −1.87684 | – | – | – | ||||||
| ln[log(σG) + 4] | 12.7819 ≤ G < 13.2107 | −571.61430 | 88.12748 | −3.402567 | – | – | – | ||||||
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