#!/usr/bin/env python3

import matplotlib.pyplot as plt
from Cryptotools.Groups.elliptic import Point, Elliptic


a = 3
b = 8
n = 89 # Must be prime number

E = Elliptic(n, a, b)
E.quadraticResidues()
Ep = E.pointsE()
#print(E.getQuadraticResidues())

# For the graphic
MAX=n

fig, ax = plt.subplots()
ax.legend(fontsize=14)
ax.grid()

# We generate x for the graphic
x = list()
x = [i for i in range(0, MAX)]

# Drawing the point.
for p in Ep:
    ax.plot(p.x, p.y, 'bo')

# Draw a line for the symmetry
plt.axline([0, 45], [45, 45], linestyle="--", color="red")
plt.show()