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Table C.3

Priors used in the analysis of the scenarios 0, 1, 2 and 3.

Parameter Scenario 0 Scenario 1 Scenario 2 Scenario 3

Number of free parameters 35 38 38 38

Primary star
Effective temperature Teff  [K]
Iron abundance [Fe/H]  [dex]
Surface gravity log g  [cm s-2]
Bulk density ρ [ρ]
Projected rotational velocity υsini1  [km s-1]
Linear limb darkening coefficient ua
Quadratic limb darkening coefficient ub

Secondary star
Initial mass minit2  [M]
Projected rotational velocity υsini2  [km s-1]

Tertiary star
Initial mass minit3  [M]
Projected rotational velocity υsini3  [km s-1]

Planet
Radius ratio rp/R
Planet radius rp [R]
Radial velocity semi-amplitude K [m s-1]
Planet mass mp [M]

Inner orbit
Orbital period Pin [d]
Transit/Eclipse epoch T0 [BJDTDB 2 455 000]
Orbital inclination iin [°]
Orbital eccentricity ein
Argument of periastron ωin [°]

Outer orbit
Linear drift d1 [km s-1d-1]
Quadratic drift d2 [km s-1d-2]
Orbital period Pout [d]
Periastron epoch Tp [BJDTDB 2 455 000]
Orbital inclination iout [°]
Orbital eccentricity eout
Argument of periastron ωout [°]

System
Distance from Earth D [pc]
Interstellar absorption E(BV) [mag]
Systemic velocity γ [km s-1]

Instrumental parameters
Kepler season 0
Jitter
Background contamination [%]
Flux out-of-transit
Kepler season 1
Jitter
Background contamination [%]
Flux out-of-transit
Kepler season 2
Jitter
Background contamination [%]
Flux out-of-transit
Kepler season 3
Jitter
Background contamination [%]
Flux out-of-transit
SOPHIE
Radial velocity jitter [m s-1]
Vspan offset [km s-1]
Vspan jitter [km s-1]
FWHM jitter [km s-1]
SED
jitter [mags]

Notes. represents a Uniform prior between a and b; represents a Jeffreys distribution between a and b; represents a Normal distribution with a mean of μ and a width of σ2; represents an asymmetric Normal distribution with mean μ, upper width and lower width ; represents a Normal distribution with a mean of μ and a width of σ2 and limited by a Uniform distribution between a and b; and finally represents a Sine distribution between a and b.

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