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In this short note, we construct solutions to quantum tetrahedron equation in which there are two R-operators each depending on one parameter, while these parameters are independent from each other. The equation is of the kind "with variables on the edges", and these variables take just two values (called sometimes "colors"). All matrix entries of our R-operators are nonnegative, if the parameters are chosen properly, and the number of strictly positive entries is either 12 or 14.
I. G. Korepanov (Mon,) studied this question.
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