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Fig. A.1

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Wavelength-dependent limb-darkening coefficients for LHS 1140 b. Left: Coefficients c1c4 of the four-parameter law obtained with LDTK (Parviainen & Aigrain 2015) using PHOENIX specific intensities, showing strong small-scale structure inherited from spectral lines. Right: Corresponding coefficients from our gray/Planck atmosphere approximation, yielding a smooth, line-free wavelength dependence that we adopt for the self-consistent ECLIPSE-Xλ simulations.

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