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We present a catalog of 1,143 periodic variables, compiled from ourimage-subtracted photometric analysis of the K2 Campaign-0 super stamp. Thissuper stamp is centered on the open clusters M35 and NGC 2158. Approximately46% of our periodic variables were previously unreported. Of the catalogvariables, we find that 331 are members of M35 and 56 are members of NGC 2158(${P_{\mathrm{m}}~>~0.5}$). Our catalog contains two new transiting exoplanetcandidates, both of which orbit field stars. The smaller planet candidate has aradius of $0.35~\pm~0.04 \ \rm R_{J}$ and orbits a K dwarf($K_{\mathrm{p}}=15.4$ mag) with a transit depth of 2.9 millimag. The largerplanet candidate has a radius of $0.72~\pm~0.02 \ \rm R_{J}$ and orbits a lateG type star ($K_{\mathrm{p}}=15.7$ mag) with a transit depth of 2.2 millimag.The larger planet candidate maybe an unresolved binary or a false alarm. Ourcatalog includes 44 eclipsing binaries, including ten new detections. Of theeclipsing binaries, one is an M35 member and five are NGC 2158 members. Ourcatalog contains a total of 1,097 non-transiting variable stars, including afield $\delta$ Cepheid exhibiting double mode pulsations, 561 rotationalvariables, and 251 pulsating variables (primarily $\gamma$ Doradus and $\delta$Scuti types). The periods of our catalog sources range between 43 minutes to 24days. The known ages of our reported cluster variables will facilitateinvestigations of a variety of stellar evolutionary processes.

A Catalog of Periodic Variables in Open Clusters M35 and NGC 2158