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We analytically calculate the average value of i-th largest Schmidt coefficient for random pure quantum states. Schmidt coefficients, i.e., eigenvalues of the reduced density matrix, are expressed in the limit of large Hilbert space size and for arbitrary bipartite splitting as an implicit function of index i.doi:10.1088/1751-8113/40/3/f04 fatcat:egjwf3qz3rhlbmvshhjtbtlhoq