CERN-LHC. Differential production cross sections of prompt J/psi and psi(2S) charmonium and Y(nS) (n = 1, 2, 3) bottomonium states are measured in proton-proton collisions at sqrt(s) = 13 TeV, with data collected by the CMS detector at the LHC, corresponding to an integrated luminosity of 2.3 fb^−1 for the J/psi and 2.7 fb^−1 for the other mesons. The five quarkonium states are reconstructed in the dimuon decay channel, for dimuon rapidity |y| < 1.2. The double-differential cross sections for each state are measured as a function of y and transverse momentum, and compared to theoretical expectations. In addition, ratios are presented of cross sections for prompt psi(2S) to J/psi, Y(2S) to Y(1S), and Y(3S) to Y(1S) production. The tables below list the results of J/psi and psi(2S) differential cross section times dimuon branching fraction B in four rapidity bins for the unpolarized scenario, the unpolarized differential cross sections times B in the integrated rapidity range |y| < 1.2 with the corresponding scaling factors needed to obtain the cross sections for different polarization scenarios and the ratio of the psi(2S) to J/psi cross sections for the integrated rapidity range |y| < 1.2.