We present the fourth catalog of serendipitously discovered compact extragalactic emission-line sources -- H$alpha$ Dots. A total of 454 newly discovered objects are included in the current survey list. These objects have been detected in searches of moderately deep narrow-band images acquired for the ALFALFA H$alpha$ project (Van Sistine et al. 2016). The catalog of H-alpha Dots presented in the current paper was derived from searches carried out using ALFALFA H$alpha$ images obtained with the KPNO 2.1 m telescope. This results in a substantially deeper sample of Dots compared to our previous lists, which were all discovered in images taken with the WIYN 0.9 m telescope. The median R-band magnitude of the current catalog is 21.59, more than 1.6 magnitudes fainter than the median for the 0.9~m sample (factor of 4.4x fainter). Likewise, the median emission-line flux of the detected sources is a factor of 4.3x fainter. The line-flux completeness limit of the current sample is approximately 3 x 10$^{-16}$ erg/s/cm$^2$. We present accurate coordinates, apparent magnitudes and narrow-band line fluxes for each object in the sample. Unlike our previous lists of H$alpha$ Dots, the current sample does not include follow-up spectroscopy.
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