Toomre diagrams illustrating U, V, W Galactic kinematic space velocities of the warm Jupiter host stars in this analysis using their Gaia DR3 measurements. Contours separate stars that are kinematically most similar to the thin disk, thick disk, and halo (see T. Bensby et al. 2003). We only plot systems with kinematic uncertainties less than 20%. Left: here symbol colors relate to stellar metallicity, showing a trend in which the most metal-poor host stars in our sample belong preferentially to the Galactic thick disk. Right: here symbol colors scale with the eccentricity of the warm Jupiter. All warm Jupiters orbiting thick disk stars have near-circular orbits.