from sympy import *
import matplotlib.pyplot as plt
nmin, nmax = 1, 1000
l = range(nmin,nmax)
plt.plot(l, [totient(n) for n in l], 'g.', alpha=0.2, markersize=4)
plt.plot(l, [reduced_totient(n) for n in l], 'b.', alpha=1, markersize=2)
plt.axis([nmin,nmax,nmin,nmax])
plt.xlabel('$n$', fontsize='x-large')
ax = plt.gca()
ax.xaxis.set_label_coords(1.03,0.03)
xticks = ax.xaxis.get_major_ticks()
xticks[0].label1.set_visible(False)
yticks = ax.yaxis.get_major_ticks()
yticks[0].label1.set_visible(False)
plt.figtext(0.2,0.8,'$\lambda(n)$', fontsize='x-large', color='b', alpha=1)
plt.figtext(0.2,0.74,'$\\varphi(n)$', fontsize='x-large', color='g', alpha=0.6)
plt.savefig('carmichaelLambda.svg')