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In this paper we have obtained new phenomenon lying in the following: everyfixed asymptotic complete hybrid formula (we call it as mother formula)generates infinite set of new formulas (transmutations) such that every newformula expresses a close binding between some subset of $\{|\zeta(s)|\}$ andsubset of moduli of certain integral and meromorphic functions.

Jacob's ladders and infinite set of transmutations of asymptotic complete hybrid formula on level curves in Gauss' plane