  We describe a procedure that creates an explicit complex-valued polynomial
function of three-dimensional space, whose nodal lines are the three-twist knot
$5_2$. The construction generalizes a similar approach for lemniscate knots: a
braid representation is engineered from finite Fourier series and then
considered as the nodal set of a certain complex polynomial which depends on an
additional parameter. For sufficiently small values of this parameter, the
nodal lines form the three-twist knot. Further mathematical properties of this
map are explored, including the relationship of the phase critical points with
the Morse-Novikov number, which is nonzero as this knot is not fibred. We also
find analogous functions for other knots with six crossings. The particular
function we find, and the general procedure, should be useful for designing
knotted fields of particular knot types in various physical systems.
