Fusion cross-sections sigma for the reaction W-186 + O-16 have been me
asured with high precision at small energy intervals, for energies E s
panning the barrier region. The distribution of fusion barriers, deriv
ed from the curvature of Esigma, has the shape expected classically fr
om a target nucleus with a negative hexadecapole deformation. Comparis
on with the previously measured distribution for Sm-154 + O-16 demonst
rates the strong sensitivity of fusion to the hexadecapole deformation
. The magnitudes of the deformation parameters for W-186, extracted us
ing a purely geometrical description, are different from those determi
ned from non-fusion measurements. This is interpreted as reflecting th
e sensitivity of the excitation function to small additional couplings
.