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intermediate-mass stars. We have measured the strength of dipolar  oscillation modes, which are suppressed by a strong magnetic field in the  core, in over 3600 red giant stars. About 20\% of our sample have mode  suppression but and  this fraction is a strong function of mass. Strong core fieldsoccur  only occur  in stars red giants  above 1.1 solar masses, masses (1.1 \msol),  %[this setence seems to break flow between previous and subsequent sentence] Low-mass red giants, which burned hydrogen in a radiative core, do not posses strong internal magnetic fields.   andfor intermediate-mass stars (1.6--2.0 \msun),  the occurrence rate is at least 60\%, 60\% for intermediate-mass stars (1.6--2.0 \msun),  suggesting that powerful dynamos are very common in the convective cores of these stars.