Построение графика в комплексной плоскости (MatPlotLib)

from numpy import *
import matplotlib.pyplot as plt
plt.axis([-10., -10., -10., 10.])
omega = linspace(-10, 10, 181)
s = 1j * omega
w = 1/(1 + s)
plt.plot(omega, w, 'g--', label = 's(w)')
 
plt.xlabel('Real')
plt.ylabel('Imaginary')
plt.title('Graphik')
plt.legend()
plt.show()

from numpy import *
import matplotlib.pyplot as plt
 
plt.axis([-4., 4, -4., 4.])
omega = linspace(-4, 4, 251)
T = 1
j = complex(0, 1)
w = 1/(j*omega*T + 1)
plt.plot(omega, w, label='s(w)')
plt.show()

from numpy import *
import matplotlib.pyplot as plt
 
plt.axis([-4., 4, -4., 4.])
omega = linspace(-4, 4, 251)
T = 1
j = complex(0, 1)
w = 1/(j*omega*T + 1)
plt.plot(omega, w, label='s(w) -- REAL')
plt.plot(omega, w.imag, label='s(w) -- IMAGINARY')
plt.legend()
plt.show()

import matplotlib.pyplot as plt
import numpy as np
 
def func(a):
    for x in range(len(a)):
        plt.plot([0, a[x].real], [0, a[x].imag], 'ro-', label='python')
    limit=np.max(np.ceil(np.absolute(a))) # set limits for axis
    plt.xlim((-limit,limit))
    plt.ylim((-limit,limit))
    plt.ylabel('Imaginary')
    plt.xlabel('Real')
    plt.show()
 
omega = np.linspace(-4, 4, 251)
a = 1/(1 + 1j*omega)
func(a)