def test_norm_and_conjugate(self):
# a * a.conjugate = norm(a)
a = EisensteinInt(3,1)
aa = a * a.conjugate()
norm = a.norm()
self.assertTrue(aa.real == norm)
a = EisensteinInt(13,-21)
aa = a * a.conjugate()
norm = a.norm()
self.assertTrue(aa.real == norm)
def test_norm_multiplicative(self):
# Norm(a)*Norm(b)=Norm(a*b)
a = EisensteinInt(-2,4)
b = EisensteinInt(1,3)
self.assertEqual((a * b).norm(), a.norm() *b.norm())