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Our results show that stars with no observable magnetic field at the surface can still harbour strong fields in the core.   The presence of internal magnetic fields might play an important role for angular momentum transport.   Fields too weak to suppress dipole oscillation modes may exist in normal red giants, and these fields may transport enough angular momentum to help explain the measured rotation rates of red giant cores \citep{Mosser_2012}. \citep{Mosser_2012,Cantiello_2014}.  After hydrogen-shell burning, intermediate-mass red giants burn helium in their cores. Suppressed dipole modes in those so-called red clump stars will reveal whether the fields survive until helium-core burning, and whether they can account for magnetic fields observed in stellar remnants such as white dwarfs. Like intermediate-mass stars, massive stars ($M>10$\msun) also undergo convective hydrogen-core burning that generates a magnetic dynamo, and which may produce the magnetic fields observed in many neutron stars. %Massive stars ($M>10$\msun) produce neutron star remnants, whose magnetic fields could be generated by the core dynamos of their massive star progenitors. %It is also possible that core dynamos in massive stars ($M>10$\msun) are the source of the magnetic fields observed in some neutron stars.  %CAN WE SAY MORE? TIM THOUGHT THIS WAS A WEAK ENDING.  %[Suppressed stars seem not to show significant surface fields beyond normal