Unveiling $δ$ Scuti and $γ$ Doradus Hybrid Pulsation of HD 53166 and HD 53349 Plus Rich Frequencies in HD 52788 -- Catalogs of 70552 $δ$ Sct and 8080 $γ$ Dor

Abstract: We present discoveries of the hybrid $\delta$ Scuti and $\gamma$ Doradus types stellar pulsational variability of two stars, HD 53166 and HD 53349, which were previously used as comparison in the differential photometry of a known $\delta$ Scuti star HD 52788. More surprisingly, HD 52788 exhibits 126 pulsation frequencies in a small domain in 4--12 c/d based on 24 sectors light curves of TESS. We compared the three stars with up-to-date class members collected from existing catalogs in multiple Hertzsprung-Russell diagrams for checking group property. Two comprehensive catalogs of 70552 $\delta$ Sct and 8080 $\gamma$ Dor stars have been cross-identified with the TESS Input Catalog (TIC) and Gaia DR3. The catalogs include multiple stellar parameters extracted from both Gaia DR3 and TIC v8.2. The rich pulsation contents turn HD 52788 into a rare distinctive object in its class for testing current stellar evolution and pulsation models.