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Table B.1

Priors imposed in the DE-MCMC radial-velocity and/or transit+radial-velocity combined analyses.

Priors on radial-velocity parameters
3-planet+GP model 4-planet model
γ [m s−1] U⌉ − ∞, +∞[ γ [m s−1] U⌉ − ∞, +∞[
σRV,jit [ m s−1] U[0, +∞[ σRv,jit [m s−1] U[0, +∞[
h [ m s−1] U[0, +∞[
λ1 [days] U[0, 1000]
λ2 U[0.1, 10]
Prot [days] U[27, 33]

TOI-5789 b TOI-5789b

Tc [BJDTDB − 2450000] 𝒰[10 357.1, 10 359.1] Tc[BJDTDB − 2450000] 𝒰[10 357.1, 10 359.1]
P [days] 𝒰[2.74, 2.78] P [days] 𝒰[2.74, 2.78]
e 0 (fixed) e 0 (fixed)
K [m s−1] U[0, +∞[ K [m s−1] U[0, +∞[

TOI-5789 c TOI-5789c

Tc [BJDTDB − 2450000] 𝒩(10 151.15868, 4.9E-04) TC[BJDTDB − 2450000] 𝒩(10 151.15868, 4.9E-04)
P [days] 𝒩(12.927748, 1.6E-05) P [days] 𝒩(12.927748, 1.6E-05)
e 𝒩(0.0,0.098) AND 0 ≤ e < 1 e 𝒩(0.0,0.098) AND 0 ≤ e < 1
K [m s−1] U[0, +∞[ K [m s−1] U[0, +∞[

TOI-5789d

TC[BJDTDB − 2450000] U[10 342, 10 352]
P [days] U[27, 33]
e 𝒩(0.0,0.098) AND 0 ≤ e < 1
K [m s−1] U[0, +∞[

TOI-5789 e TOI-5789e

Tc [BJDTDB − 2450000] U[10 350, 10 370] TC[BJDTDB − 2450000] U[10 350, 10 370]
P [days] U[60, 66] P [days] U[60, 66]
e 𝒩(0.0,0.098) AND 0 ≤ e < 1 e 𝒩(0.0,0.098) AND 0 ≤ e < 1
K [m s−1] U[0, +∞[ K [m s−1] U[0, +∞[
Priors on TOI-5789 c transit parameters
σphot,s54 [rel. flux] U[0, +∞[
σphot,s82 [rel. flux] U[0, +∞[
ρ⋆ [g cm-3] 𝒩(2.00, 0.17)
Tc[BJDTDB - 2450000] 𝒰] − ∞, +∞[
P [days] 𝒰[0, +∞[
R p/ R. U[0, +∞[
T14 [d] U[0, +∞[
i [deg] U[0, 90]
q1 U[0, 1]
q2 U[0, 1]

Notes. – Same parameters as in Table 2. We note that 𝒩 and U stand for normal (Gaussian) and uniform priors, respectively.

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