This is a library for computing homotopy continuation of a given root of
one dimensional sections of bivariate complex polynomials. The output
is a piecewise linear approximation of the path followed by the root,
with the property that there is a tubular neighborhood, with square
transversal section, that contains the actual path, and there is a three
times thicker tubular neighborhood guaranteed to contain no other root
of the polynomial. This second property ensures that the piecewise
linear approximation computed from all roots of a polynomial form a
topologically correct deformation of the actual braid, since the inner
tubular neighborhoods cannot intersect.