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Table 1

The relative posterior probabilities of models with k = 0,...,9 Keplerian signals (ℳk) given radial velocities of HD 10180 (or data, d) together with the periods (Ps) of the signals added to the model when increasing the number of signals in the model by one.

k P(ℳk | d) log P(d | ℳk) rms [m s-1] Ps [days]

0 1.5 × 10-125  −621.29 ± 0.03 6.29
1 1.6 × 10-114  −595.15 ± 0.04 5.39 5.76
2 1.5 × 10-98  −556.87 ± 0.02 4.34 123
3 4.1 × 10-86  −528.44 ± 0.07 3.62 2200
4 2.7 × 10-53  −452.17 ± 0.13 2.43 49.8
5 7.2 × 10-20  −374.42 ± 0.05 1.59 16.35
6 3.4 × 10-13  −358.36 ± 0.12 1.41 600
7 3.8 × 10-7  −343.73 ± 0.09 1.32 1.18
8 0.003  −334.06 ± 0.06 1.24 67.5
9 0.997  −327.79 ± 0.06 1.18 9.65

Notes. Also shown are the logarithmic Bayesian evidence (P(d | ℳk)) and its uncertainties as standard deviations and the root mean square (rms) values of the residuals for each model.

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