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We calculate the elliptic flow of charged particles in Pb-Pb collisions at2.76 TeV in relativistic viscous hydrodynamics. The recent data of the ALICECollaboration on the elliptic flow as function of the centrality can be verywell described using the hydrodynamic expansion of a fluid with a small shearviscosity eta/s=0.08. The elliptic flow as function of the transverse momentumshows systematic deviations from a hydrodynamic behavior in the small momentaregion pt<800MeV. It indicates that a non-negligible contribution ofnon-thermalized particles from jet fragmentation is present.

Components of the elliptic flow in Pb-Pb collisions at 2.76 TeV