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In this paper, a new variant of an efficient adaptive jSO algorithm is presented. The original jSO uses popular binomial crossover which is applied in a standard coordinate system. Many problems tend to rotate the coordinate system in one or more axes. This is the reason why a crossover variant using Eigen coordinate system replaces the original binomial version of crossover in jSO. The newly proposed jSOe performs significantly better compared with the original jSO when solving 90 problems of the CEC 2017 benchmark set.