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Table A.2

Nested sampling priors and posteriors (median and the 16th and 84th percentiles) of the GP hyperparameters and the other system parameters used in the analysis of TOI-5734b.

Parameter Unit Adopted Priors Posterior
Other system parameters
RV offset m/s 𝒰(−8850, −8750) 8809.10.7+0.7Mathematical equation: $\[-8809.1_{-0.7}^{+0.7}\]$
RV jitter m/s 𝒥(0.30, 10) 2.51.1+0.9Mathematical equation: $\[2.5_{-1.1}^{+0.9}\]$
RV GPdSHO σ m/s 𝒰(5, 25) 12.61.8+2.6Mathematical equation: $\[12.6_{-1.8}^{+2.6}\]$
RV GPdSHO Q0 𝒥(2, 100) 2815+25Mathematical equation: $\[28_{-15}^{+25}\]$
RV GPdSHO dQ 𝒥(0.1, 50) 2.82.5+16.0Mathematical equation: $\[2.8_{-2.5}^{+16.0}\]$
RV GPdSHO f 𝒰(0.00, 1.00) 0.360.17+0.27Mathematical equation: $\[0.36_{-0.17}^{+0.27}\]$
Photometry off.TESS–S20 [×106] ppm 𝒰(−0.005, 0.005) 0.00130.0011+0.0011Mathematical equation: $\[-0.0013_{-0.0011}^{+0.0011}\]$
Photometry off.TESS–S47 [×106] ppm 𝒰(−0.005, 0.005) 0.00130.0011+0.0011Mathematical equation: $\[0.0013_{-0.0011}^{+0.0011}\]$
Photometry off.TESS–S60 [×106] ppm 𝒰(−0.005, 0.005) 0.00090.0011+0.0011Mathematical equation: $\[-0.0009_{-0.0011}^{+0.0011}\]$
Photometry jit.TESS–S20 [×106] ppm 𝒰(0.000, 0.001) 0.00018840.0000058+0.0000060Mathematical equation: $\[0.0001884_{-0.0000058}^{+0.0000060}\]$
Photometry jit.TESS–S47 [×106] ppm 𝒰(0.000, 0.001) 0.00021420.0000046+0.0000045Mathematical equation: $\[0.0002142_{-0.0000046}^{+0.0000045}\]$
Photometry jit.TESS–S60 [×106] ppm 𝒰(0.000, 0.001) 0.00038500.0000049+0.0000050Mathematical equation: $\[0.0003850_{-0.0000049}^{+0.0000050}\]$
Photometry GPdSHO σ [×106] ppm 𝒰(0.00001, 0.01500) 0.00530.0008+0.0011Mathematical equation: $\[0.0053_{-0.0008}^{+0.0011}\]$
Photometry & RV GPdSHO Prot days 𝒩(11.12, 1.5) 11.090.08+0.07Mathematical equation: $\[11.09_{-0.08}^{+0.07}\]$
Photometry GPdSHO Q0 𝒥(0.002, 10) 0.00210.0001+0.0002Mathematical equation: $\[0.0021_{-0.0001}^{+0.0002}\]$
Photometry GPdSHO dQ 𝒥(0.002, 200) 2.60.9+1.5Mathematical equation: $\[2.6_{-0.9}^{+1.5}\]$
Photometry GPdSHO f 𝒰(0.00, 1.00) 0.000770.00025+0.00033Mathematical equation: $\[0.00077_{-0.00025}^{+0.00033}\]$
Limb darkening u1 (TESS) 𝒩(0.48, 0.10) 0.5790.074+0.075Mathematical equation: $\[0.579_{-0.074}^{+0.075}\]$
Limb darkening u2 (TESS) 𝒩(0.17, 0.10) 0.2100.080+0.090Mathematical equation: $\[0.210_{-0.080}^{+0.090}\]$

Notes: photometric and RV data share only the GPdSHO Prot hyperparameter, which is estimated from the light curves. Orbital parameters and the main derived planetary parameters are reported in Table 2.

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