from sympy import *
from spb import *
z, u = symbols("z u")
expr1 = z * exp(2 * pi * I * z)
expr2 = u * expr1
n = 15
l1 = [expr1.subs(z, t / n) for t in range(n)]
l2 = [expr2.subs(z, t / n) for t in range(n)]
params = {u: (0.5, 0, 2)}
graphics(
    complex_points(l1, label="f1", params=params),
    complex_points(l2, label="f2", params=params),
    legend=True, xlim=(-1.5, 2), ylim=(-2, 1))