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TOI-1899 b is a rare exoplanet, a temperate Warm Jupiter orbiting an M-dwarf,first discovered by Ca\~nas et al. (2020) from a TESS single-transit event.Using new radial velocities (RVs) from the precision RV spectrographs HPF andNEID, along with additional TESS photometry and ground-based transit follow-up,we are able to derive a much more precise orbital period of $P =29.090312_{-0.000035}^{+0.000036}$ d, along with a radius of $R_p = 0.99 \pm0.03~R_J$. We have also improved the constraints on planet mass, $M_p = 0.67\pm 0.04~M_J$, and eccentricity, which is consistent with a circular orbit at2$\sigma$ ($e = 0.044_{-0.027}^{+0.029}$). TOI-1899 b occupies a unique regionof parameter space as the coolest known ($T_{eq} \approx$ 380 K) Jovian-sizedtransiting planet around an M-dwarf; we show that it has great potential toprovide clues regarding the formation and migration mechanisms of these raregas giants through transmission spectroscopy with JWST as well as studies oftidal evolution.

The unusual M-dwarf Warm Jupiter TOI-1899~b: Refinement of orbital and planetary parameters