Two- and three-body correlations of incompressible quantum liquids arestudied numerically. Pairing of composite fermions (CFs) in the 1/3-filledsecond CF Landau level is found at nu_e=4/11. It is explained by reducedshort-range repulsion due to ring-like single-particle charge distribution.Although Moore-Read state of CFs is unstable in the 1/2-filled second CF level,condensation of its quasiholes is a possible origin of incompressibility atnu_e=4/11. Electron pairing occurs at nu_e=7/3 and 13/3, but with differentpair-pair correlations. Signatures of triplets are found at higher fillings.
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