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One of the main problems of the knot theory is to classify studied objects, i.e. to construct a table of all inequivalent objects taking into account parameters represented some properties, as well as a list of invariants of the tabulated objects. The goal of this paper is to classify all genus 1 prime virtual links having virtual link diagrams with at most 4 classical crossings. The problem of classification is difficult, because there is no universal method to decide if two given objects aredoi:10.14529/jcem180403 fatcat:g7k6wgwhtrhmlcy6cicklzhn4i