• The function drawPaths(L,S)  plots the projections of the homotopy continuation paths on the complex coordinate axes (of real dimension 2).
• Usually, the input for the function is the output of phc[track] , calling which with a larger parameter n  results in more sampling points and, therefore, improves the quality of the plots.
• A yellow circle marks the beginning of a path, a red one marks the end (these may overlap).
• A path is represented with the same color in every projection.

>	with(phc): setPHCloc("C:\\PHCmaple"):

>	T := makeSystem([x,y], [], [x^2+y^2-1, y^3+x^3-1]):

>	S := makeSystem([x,y], [], expand((1+I)*[x^2-1, y^3-1])):

>	rt := evalf(-0.5+sqrt(3)/2*I): # principal cubic root of 1

>	startSolutions := [makeSolution([1,1]), makeSolution([-1,1]), makeSolution([1,rt]), makeSolution([-1,rt]), makeSolution([1,rt^2]), makeSolution([-1,rt^2])]:

>	L := track(T,S,startSolutions,20):

>	R := drawPaths(L,S):

>	for i from 1 to nops(R) do   plots[display](R[i], thickness=2); end do;

phc , phc[solve] , phc[track] .