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Topological coindices are the numeric values, obtained by the complement graph of a molecular structure, which is used in Quantitative Structure Property/Activity Relationship (QSPR/QSAR) studies to evaluate the physicochemical and biological properties of compounds. In this article, we introduce new distance-based topological indices calculated with the -polynomial approach. We present an application about the compatibility of these indices with some drugs that are candidates for use in the treatment of COVID-19 with QSPR analysis.