The roots of degree $n$ Chebyshev polynomial $T_n(x)$ are $$ x_i = \cos\left( \frac{2i+1}{2n} \pi \right), \qquad i=0,1,\ldots,n-1 $$
%matplotlib inline
%config InlineBackend.figure_format = 'svg'
import numpy as np
import matplotlib.pyplot as plt
plt.figure(figsize=(9,10))
c = 1
for n in range(10,20):
j = np.linspace(0,n-1,n)
theta = (2*j+1)*np.pi/(2*n)
x = np.cos(theta)
y = 0*x
plt.subplot(10,1,c)
plt.plot(x,y,'.')
plt.xticks([]); plt.yticks([])
plt.ylabel(str(n))
c += 1