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We present new measurements of the thermal conductivity of UPt3 down to verylow temperatures (16mK) and under magnetic fields (up to 4 T) which cover allthe superconducting phases of UPt3. The measurements in zero field are comparedwith recent theoretical predictions for the thermal conductivity, which isdominated by impurity states at the lowest temperatures studied. Themeasurements under magnetic field at low temperatures are surprising since theydon't show the expected low field square root dependence. The discontinuity ofd kappa/dT at Tc changes drastically when passing from the high field lowtemperature C phase to the low field high temperature A phase : this is relatedto the change of the symmetry of the superconducting order parameter whencrossing the A - C phase transition.Comment: 21 pages, 9 Figures, Latex, to be published in Journal of Low  Temperature Physic

Thermal conductivity and gap structure of the superconducting phases of UPt3