  The Nicole model is a conformal field theory in three-dimensional space. It
has topological soliton solutions classified by the integer-valued Hopf charge,
and all currently known solitons are axially symmetric. A volume-preserving
flow is used to numerically construct soliton solutions for all Hopf charges
from one to eight. It is found that the known axially symmetric solutions are
unstable for Hopf charges greater than two and new lower energy solutions are
obtained that include knots and links. A comparison with the Skyrme-Faddeev
model suggests many universal features, though there are some differences in
the link types obtained in the two theories.
