  The Skyrme-Faddeev model is a three-dimensional non-linear field theory that
has topological soliton solutions, called hopfions, which are novel string-like
solutions taking the form of knots and links. Solutions found thus far take the
form of torus knots and links of these, however torus knots form only a small
family of known knots. It is an open question whether any non-torus knot
hopfions exist. In this paper we present a construction of knotted fields with
the form of cable knots to which an energy minimisation scheme can be applied.
We find the first known hopfions which do not have the form of torus knots, but
instead take the form of cable and hyperbolic knots.
