Kepler-90 8 98 2 MR planet masses except for h,f; upper limits on masses for planets h, f from Santerne et al. (2016); planet radii except i from Cabrera et al. (2014); planet i radius from Shallue & Vanderburg (2018); stellar mass from Santerne et al. (2016) Kepler-90 8 88 2 MR planet masses except for h,f; planet f mass from alternate MR relationship; upper limit for planet h mass from Santerne et al. (2016); planet radii except i from Cabrera et al. (2014); planet i radius from Shallue & Vanderburg (2018); stellar mass from Santerne et al. (2016) K2-138 6 23 2 RV planet masses, planet radii, and stellar mass from Lopez et al. (2019) K2-138 6 46 2 MR planet masses; planet radii, and stellar mass from Lopez et al. (2019) K2-138 5 * 97 2 MR planet masses; planet radii and stellar mass from Christiansen et al. (2018) Kepler-11 6 85 2 TTV planet masses and eccentricities for b-f, planet radii, and stellar mass from Lissauer et al. (2013); MR mass for planet g Kepler-11 6 34 2 MR planet masses except for planet e; planet radii, TTV mass for planet e, and stellar mass from Lissauer et al. (2013) Kepler-11 6 3 2 TTV planet masses for all planets except g, TTV eccentricities for planets d, e, f, planet radii and stellar mass from Lissauer et al. (2013); MR mass for planet g Kepler-20 6 100 2 RV masses for planets b,c, d, g, eccentricities for planets b, c, g, and radii for planets b, c, d, e, f from Buchhave et al. (2016); MR masses for planets e and f; planet g does not transit and its radius is taken from the Exoplanet Archive's estimate based on a mass-radius; relationship; stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-20 6 20 2 MR masses for all planets except g; planet radii and RV mass for planet g from Buchhave et al. (2016); planet g does not transit and its radius is taken from the Exoplanet Archive's estimate based on a mass-radius; stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-80 6 98 1 TTV planet masses for b, c, d, e from MacDonald et al. (2016); MR planet f mass; planet radii and stellar mass from MacDonald et al. (2016) Kepler-80 6 90 1 MR planet masses; planet radii and stellar mass from MacDonald et al. (2016) K2-268 5 1 2 MR planet masses; planet radii and stellar mass from de Leon et al. (2021) K2-384 5 75 1 MR planet masses; planet radii and stellar mass from Christiansen et al. (2022) Kepler-102 5 92 2 RV planet masses for d, e from Marcy et al. (2014); MR planet masses for b, c, f; planet radii from Marcy et al. (2014); stellar mass from Wang et al. (2014) Kepler-102 5 79 2 MR planet masses; planet radii from Marcy et al. (2014); stellar mass from Wang et al. (2014) Kepler-122 5 2 0 MR planet masses (mass for planet c from alternate MR relationship); planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-150 5 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-154 5 1 0 MR planet masses; planet radii for b, c from Rowe et al. (2014); planet radii for d, e, f and stellar mass from Morton et al. (2016) Kepler-169 5 9 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-186 5 63 0 MR planet masses; planet b, c, d, e radii from Rowe et al. (2014); planet f radius and eccentricity from Torres et al. (2015); stellar mass from Morton et al. (2016) Kepler-186 5 0 0 MR planet masses; planet b, c, d, e radii from Rowe et al. (2014); planet f radius from Torres et al. (2015); stellar mass from Morton et al. (2016) Kepler-238 5 0 0 TTV planet masses and radii for e, f from Xie (2014); MR planet masses for b, c, d; radii for b, c, d from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-238 5 0 0 MR planet masses for all planets except e; planet e mass from Xie (2014); radii for b, c, d from Rowe et al. (2014); radii for e,f from Xie (2014); stellar mass from Morton et al. (2016) Kepler-292 5 9 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-296 5 1 0 MR planet masses; planet radii and stellar mass from Barclay et al. (2015); unmodeled stellar companion Kepler-32 5 1 0 MR planet masses; planet radii and stellar mass from Fabrycky et al. (2012) Kepler-32 5 0 0 TTV planet masses for b, c from Hadden & Lithwick (2014); MR planet masses for d, e, f; planet radii and stellar mass from Fabrycky et al. (2012) Kepler-33 5 43 2 TTV masses for all planets except b from Hadden & Lithwick (2016); MR mass for planet b; planet radii and stellar mass from Lissauer et al. (2012) Kepler-444 5 100 1 MR planet masses; planet eccentricities, radii, and stellar mass from Campante et al. (2015); there are two unmodeled stellar companions Kepler-444 5 81 1 MR planet masses; planet radii, and stellar mass from Campante et al. (2015); there are two unmodeled stellar companions Kepler-55 5 0 1 MR planet masses; planets d, e, f radii from Rowe et al. (2014); planets b, c radii from Steffen et al. (2013); stellar mass from Morton et al. (2016) Kepler-55 5 0 1 TTV planet b, c masses from Hadden & Lithwick (2014); MR planet masses for d, e, f; planets d, e, f radii from Rowe et al. (2014); planets b, c radii from Steffen et al. (2013); stellar mass from Morton et al. (2016) Kepler-62 5 0 0 MR planet masses; planet radii and stellar mass from Borucki et al. (2013) Kepler-82 5 1 0 TTV planet masses and radii for b, c, f from Freudenthal et al. (2019); MR planet masses for d, e; planet d, e, radii from Berger et al. (2018); l stellar mass from Freudenthal et al. (2019) Kepler-82 4 * 0 0 MR planet masses for d, e; TTV planet masses for b, c from Hadden & Lithwick (2014); planets b, c radii from Xie (2013); planets d, e radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-84 5 0 0 MR planet masses; planets b, c radii from Xie (2014); planets d, e, f radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-84 5 0 0 TTV planet masses for b, c from Hadden & Lithwick (2014); MR planet d, e, f masses; planets b, c radii from Xie (2014); planets d, e, f radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) K2-187 4 0 0 MR planet masses; planet radii and stellar mass from Mayo et al. (2018) K2-266 4 13 1 TTV planet masses for d, e from Rodriguez et al. (2018); MR planet masses for b, c; planet radii and stellar mass from Rodriguez et al. (2018); unmodeled stellar companion K2-266 4 9 1 MR planet masses; planet radii and stellar mass from Rodriguez et al. (2018); unmodeled stellar companion K2-285 4 0 2 MR planet masses; planet radii and stellar mass from Palle et al. (2019) K2-285 4 6 2 RV planet masses for b, c, planet radii, and stellar mass from Palle et al. (2019); MR masses for d, e K2-32 4 2 0 RV planet masses for all planets and eccentricities for planets d, e, f, planet radii, and stellar mass from Lillo-Box et al. (2020); unmodeled stellar companion K2-32 4 0 0 MR planet masses; planet radii and stellar mass from Lillo-Box et al. (2020); unmodeled stellar companion K2-72 4 6 0 MR planet masses; planet radii and stellar mass from Dressing et al. (2017) Kepler-106 4 1 0 MR planet masses; planet radii and stellar mass from Marcy et al. (2014) Kepler-106 4 0 0 RV planet masses, planet radii, and stellar mass from Marcy et al. (2014) Kepler-107 4 87 2 MR planet masses; eccentricities from Van Eylen & Albrecht (2015); planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-107 4 8 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-107 4 6 2 RV planet masses for b, c, e from Bonomo et al. (2019); MR mass for d; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-1388 4 0 0 MR planet masses; planet radii and stellar mass from Morton et al. (2016) Kepler-1542 4 77 2 MR planet masses; planet radii and stellar mass from Morton et al. (2016) Kepler-1542 4 70 2 MR planet masses; planet radii from Berger et al. (2018); stellar mass from Morton et al. (2016) Kepler-167 4 0 0 MR planet masses (mass for planet e from alternate MR relationship); planet radii and stellar mass from Kipping et al. (2016); unmodeled stellar companion Kepler-172 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-176 4 0 2 MR planet masses; planet b, c, d radii from Rowe et al. (2014); planet e radius and stellar mass from Morton et al. (2016) Kepler-197 4 100 0 TTV planet mass for c from Hadden & Lithwick (2014); MR masses for planets b, d, e; eccentricity for planet e from Van Eylen & Albrecht (2015); planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-197 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-208 4 8 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-215 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-220 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-221 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-223 4 80 1 TTV planet masses and eccentricities, planet radii, and stellar mass from Mills et al. (2016) Kepler-223 4 21 1 MR planet masses for b, c; TTV planet masses for d, e, planet radii, and stellar mass from Mills et al. (2016) Kepler-224 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-235 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Torres et al. (2017) Kepler-24 4 6 2 MR planet masses; radii for planets b, c from Ford et al. (2012); radii for planets d, e from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-24 4 18 2 TTV planet masses for b, c from Hadden & Lithwick (2014); MR planet masses for d, e; planet b, d, c radii from Berger et al. (2018); planet e radius and stellar mass from Morton et al. (2016) Kepler-245 4 0 2 MR planet masses; planet b, c, d radii from Rowe et al. (2014); planet e radius and stellar mass from Morton et al. (2016) Kepler-251 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-256 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-26 4 0 2 TTV planet masses for b, c from Jontof-Hutter et al. (2016); MR planet masses for d, e; radii for d, e, from Rowe et al. (2014); radii for b, c and stellar mass from Jontof-Hutter et al. (2016) Kepler-26 4 6 2 MR planet masses; radii for d, e, from Rowe et al. (2014); radii for b, c and stellar mass from Jontof-Hutter et al. (2016) Kepler-265 4 0 0 MR planet masses; radii from Rowe et al. (2014); stellar mass from Batalha et al. (2013) Kepler-282 4 18 0 MR planet masses; planets b, c radii from Rowe et al. (2014); planets d, e radii from Xie (2014); stellar mass from Morton et al. (2016) Kepler-282 4 36 0 TTV planet masses and radii for d, e from Xie (2014); MR planet masses for b, c; radii for b, c from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-286 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-299 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-304 4 0 0 MR planet masses; planet b, c, d radii from Rowe et al. (2014); planet e radius and stellar mass from Morton et al. (2016) Kepler-306 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-324 4 0 2 MR planet masses; planets b, c, radii from Berger et al. (2018); planet e radius from Valizadegan et al. (2022); planet d radius and stellar mass from Jontof-Hutter et al. (2021) Kepler-338 4 79 0 MR planet masses; eccentricities from Van Eylen & Albrecht (2015); planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-338 4 2 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-341 4 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-342 4 2 1 MR planet masses; planets b, c, d radii from Rowe et al. (2014); planet e radius and stellar mass from Morton et al. (2016) Kepler-37 4 19 2 MR planet masses; radius for planet b from Stassun et al. (2017); planet e radius from Q1-Q8 KOI table; radii for planets d, e and stellar mass from Marcy et al. (2014) Kepler-402 4 50 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-411 4 40 2 MR planet masses for b, d, e; RV planet c mass, planet radii, and stellar mass from Sun et al. (2019) Kepler-48 4 0 0 RV planet masses, radii for planets b, c, d, and stellar mass from Marcy et al. (2014); planet e does not transit, so its radius is taken from the Exoplanet Archive's estimate based on a mass-radius relationship Kepler-48 4 0 0 MR planet masses for b, c, d; RV mass for planet e, radii for planets b, c, d, and stellar mass from Marcy et al. (2014); planet e does not transit, so its radius is taken from the Exoplanet Archive's estimate based on a mass-radius relationship Kepler-49 4 1 1 MR planet masses; planets b, c radii from Steffen et al. (2013); planets e, d radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-65 4 0 RV planet masses and stellar mass from Mills et al. (2019); planet radii from Chaplin et al. (2013); planet e does not transit, so the radius is taken from the Exoplanet Archive estimate Kepler-65 3 * 0 0 MR planet masses; planet radii and stellar mass from Chaplin et al. (2013) Kepler-758 4 4 2 MR planet masses; planet radii and stellar mass from Morton et al. (2016) Kepler-79 4 0 0 TTV planet masses and eccentricities, planet radii, and stellar mass from Jontof-Hutter et al. (2014) Kepler-79 4 0 0 MR planet masses; planet radii, and stellar mass from Jontof-Hutter et al. (2014) Kepler-85 4 95 1 MR planet masses; planets b, c radii from Xie (2013); planets d, e radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-85 4 91 1 TTV planet c mass from Hadden & Lithwick (2014); TTV planet e mass from Hadden & Lithwick (2017); MR planet d, d masses; planets b, c radii from Xie (2013); planets d, e radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-94 4 89 0 RV planet masses and eccentricities, and planet radii from Weiss et al. (2013); stellar mass from Albrecht et al. (2013); unmodeled stellar companion Kepler-94 4 0 0 RV planet masses for planets c, d, e, and planet radii from Weiss et al. (2013); MR mass for planet b; stellar mass from Albrecht et al. (2013); unmodeled stellar companion K2-133 3 0 0 MR planet masses; planet radii and stellar mass from Wells et al. (2018) K2-136 3 0 0 MR planet masses; planet radii and stellar mass from Mann et al. (2018); unmodeled stellar companion K2-148 3 8 2 MR planet masses; planet radii and stellar mass from Hirano et al. (2018); unmodeled stellar companion K2-155 3 0 0 MR planet masses; planet radii and stellar mass from Diez Alonso et al. (2018) K2-165 3 0 0 MR planet masses; planet radii and stellar mass from Mayo et al. (2018) K2-183 3 0 0 MR planet masses; planet radii and stellar mass from Mayo et al. (2018) K2-19 3 0 1 RV masses for planets b,c and stellar masses from Petigura et al. (2020); MR mass for planet d; planet radii from Sinukoff et al. (2016) K2-219 3 0 2 MR planet masses; planet radii and stellar mass from Mayo et al. (2018) K2-233 3 0 0 MR planet masses; planet radii and stellar mass from David et al. (2018) K2-3 3 0 0 RV planet masses from Damasso et al. (2018); planet radii from Crossfield et al. (2016); stellar mass from Kosiarek et al. (2019) K2-3 3 0 0 MR planet masses; planet radii from Damasso et al. (2018); stellar mass from Kosiarek et al. (2019) K2-37 3 1 0 MR planet masses; planet radii from Sinukoff et al. (2016); stellar mass from Crossfield et al. (2016) K2-58 3 0 0 MR planet masses; planet radii and stellar mass from Crossfield et al. (2016) K2-80 3 0 2 MR planet masses; planet radii for c, b and stellar mass from Crossfield et al. (2016); planet d radius from Mayo et al. (2018) Kepler-100 3 0 0 MR planet masses for c, d; planet radii, RV mass for planet b, and stellar mass from Marcy et al. (2014) Kepler-104 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-114 3 0 0 TTV planet masses for c, d from Xie (2014); MR planet mass for b; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-114 3 0 0 MR planet masses; planet b radius form Rowe et al. (2014), planets c and d radii from Xie (2014); stellar mass from Morton et al. (2016) Kepler-124 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-1254 3 0 0 MR planet masses; planet radii and stellar mass from Morton et al. (2016) Kepler-126 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Silva Aguirre et al. (2015) Kepler-127 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-130 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016); unmodeled stellar companion Kepler-138 3 40 1 TTV planet masses, planet eccentricities, and stellar mass from Jontof-Hutter et al. (2015) Kepler-138 3 8 1 MR planet masses; planet radii and stellar mass from Jontof-Hutter et al. (2015) Kepler-142 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-157 3 0 0 MR planet masses; planet radii for b, c from Rowe et al. (2014); planet radius for d and stellar mass from Morton et al. (2016) Kepler-164 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-166 3 0 0 MR planet masses; planet radii for b,c from Rowe et al. (2014); planet radius for d and stellar mass from Morton et al. (2016) Kepler-171 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-174 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-178 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-184 3 3 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-19 3 9 0 RV/TTV planet masses and planet c and d eccentricities from Malavolta et al. (2017); planet b radius and stellar mass from Ballard et al. (2011); planets c and d do not transit, so radii are taken from the Exoplanet Archive's estimate based on a mass-radius relationship Kepler-191 3 0 2 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-192 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-194 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-198 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-203 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-207 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-217 3 3 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-218 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-219 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-226 3 32 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-23 3 87 2 TTV planet masses from Hadden & Lithwick (2014); planet b, c, radii from Ford et al. (2012); planet d radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-23 3 0 2 MR planet masses; planet b, c, radii from Ford et al. (2012); planet d radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-244 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-249 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-25 3 0 0 RV planet masses, radii for planets b, c and stellar mass from Marcy et al. (2014); planet d does not transit, so its radius is taken from the Exoplanet Archive's estimate based on a mass-radius relationship; unmodeled stellar companion Kepler-25 3 0 0 MR planet masses for b, c; radii for planets b, c, RV mass for planet d, and stellar mass from Marcy et al. (2014); planet d does not transit, so its radius is taken from the Exoplanet Archive's estimate based on a mass-radius relationship; unmodeled stellar companion Kepler-250 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-253 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-254 3 1 1 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-255 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-267 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-271 3 3 0 MR planet masses; planet radii, planet orbital periods, and stellar mass from Morton et al. (2016); note that conflicting solutions for planet b's orbital period have been published, and there are two additional unconfirmed and unmodeled planet candidates in this system Kepler-272 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-275 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-276 3 0 0 MR planet masses; planet b radius from Rowe et al. (2014); planets c, d radii from Xie (2014); stellar mass from Morton et al. (2016) Kepler-288 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-289 3 0 0 TTV planet masses and planet radii from Schmitt et al. (2014); stellar mass from Morton et al. (2016) Kepler-289 3 0 0 MR masses for planets b, d; TTV mass for planet c and planet radii from Schmitt et al. (2014); stellar mass from Morton et al. (2016) Kepler-295 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-298 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-30 3 0 0 TTV planet masses and eccentricities and planet radii from Sanchis-Ojeda et al. (2012); stellar mass from Fabrycky et al. (2012) Kepler-30 3 0 0 MR mass for planet b; TTV planet masses for c, d and planet radii from Sanchis-Ojeda et al. (2012); stellar mass from Fabrycky et al. (2012) Kepler-301 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-305 3 0 1 MR planet masses; planets b, c radii from Xie (2014); planet d radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-310 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-319 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-325 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-326 3 1 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-327 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-331 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-332 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-334 3 0 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-336 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-339 3 20 2 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-350 3 4 0 TTV planet masses and planet radii for c, d from Xie (2014); MR planet mass for b; planet b radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-350 3 0 0 MR planet masses; planet radii for c, d from Xie (2014); planet b radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-351 3 2 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-354 3 2 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-357 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-363 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-372 3 0 1 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-374 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-398 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-399 3 0 0 MR planet masses; planet radii from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-401 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-403 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-42 3 0 0 MR planet masses; planet radii and stellar mass from Muirhead et al. (2012) Kepler-431 3 7 0 MR planet masses; planet radii and stellar mass from Everett et al. (2015) Kepler-445 3 32 1 MR planet masses; planet radii and stellar mass from Muirhead et al. (2015) Kepler-446 3 0 0 MR planet masses; planet radii and stellar mass from Muirhead et al. (2015) Kepler-450 3 0 0 MR planet masses (mass for planet b from alternate MR relationship); planet radii from Van Eylen & Albrecht (2015); stellar mass from Huber et al. (2013) Kepler-52 3 0 0 MR planet masses; planet b, c radii from Rowe et al. (2014); planet d radius and stellar mass from Morton et al. (2016) Kepler-52 3 0 0 TTV planet b, c masses from Hadden & Lithwick (2014); MR mass for planet d; planet radii and stellar mass from Morton et al. (2016) Kepler-53 3 0 0 MR planet masses; planet d radius from Rowe et al. (2014); planets b, c radii and stellar mass from Steffen et al. (2013) Kepler-53 3 0 0 TTV planet b, c masses from Hadden & Lithwick (2014); MR mass for planet d; planet d radius from Rowe et al. (2014); planets b, c radii and stellar mass from Steffen et al. (2013) Kepler-54 3 5 1 MR planet masses; planet d radius from Rowe et al. (2014); planets b, c radii from Steffen et al. (2013); stellar mass from Morton et al. (2016) Kepler-54 3 21 1 TTV planet b, c masses from Hadden & Lithwick (2014); MR mass for planet d; planet d radius from Rowe et al. (2014); planets b, c radii and stellar mass from Morton et al. (2016) Kepler-58 3 0 0 MR planet masses; planet d radius from Rowe et al. (2014); planets b, c radii from Steffen et al. (2013); stellar mass from Morton et al. (2016) Kepler-60 3 61 1 MR planet masses; planet radii and stellar mass from Jontof-Hutter et al. (2016) Kepler-60 3 0 1 TTV planet masses, planet radii, and stellar mass from Jontof-Hutter et al. (2016) Kepler-770 3 0 0 MR planet masses; planet radii and stellar mass from Morton et al. (2016) Kepler-81 3 0 2 MR planet masses; planets b, c radii from Rowe et al. (2014); planets d, e radii from Xie (2014); stellar mass from Morton et al. (2016) Kepler-81 3 0 2 TTV planets b,c masses from Hadden & Lithwick (2014); MR mass for planet d; planets b, c radii from Rowe et al. (2014); planets d, e radii from Xie (2014); stellar mass from Morton et al. (2016) Kepler-83 3 0 0 MR planet masses; planets b, c radii from Xie (2013); planet d radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-83 3 0 0 TTV planet masses from Hadden & Lithwick (2014); planets b, c radii from Xie (2013); planet d radius from Rowe et al. (2014); stellar mass from Morton et al. (2016) Kepler-9 3 0 1 TTV masses and radii for planets b, c, from Holman et al. (2010); MR planet d mass; planet d radius and stellar mass from Torres et al. (2011) Kepler-92 3 86 0 TTV planet masses and eccentricities for b, c from Xie (2014); MR mass for planet d; planets b, c radii from Xie (2014); planet d radius from Van Eylen & Albrecht (2015); stellar mass from Silva Aguirre et al. (2015) Kepler-92 3 0 0 MR planet masses; planets b, c radii from Xie (2014); planet d radius from Van Eylen & Albrecht (2015); stellar mass from Silva Aguirre et al. (2015)