def genus(self):
r"""The genus of this Riemann surface.
Returns
-------
genus : int
"""
g = genus(self.f)
return g
def genus(self):
r"""The genus of this Riemann surface.
Returns
-------
genus : int
"""
g = genus(self.f)
return g
def test_f6(self):
# curve is reducible
g = genus(self.f6)
self.assertEqual(g, -1)
def test_f4(self):
g = genus(self.f4)
self.assertEqual(g, 0)
def test_f5(self):
g = genus(self.f5)
self.assertEqual(g, 1)
def test_f2(self):
g = genus(self.f2)
self.assertEqual(g, 2)
def test_f3(self):
g = genus(self.f3)
self.assertEqual(g, 0)
def test_f9(self):
g = genus(self.f9)
self.assertEqual(g, 9)
def test_f4(self):
g = genus(self.f4)
self.assertEqual(g, 0)
def test_f10(self):
g = genus(self.f10)
self.assertEqual(g, 3)
def test_issue71(self):
R = QQ['x,y']
x,y = R.gens()
f = -x**5 + x + y**3
g = genus(f)
self.assertEqual(g, 4)
def test_f8(self):
g = genus(self.f8)
self.assertEqual(g, 3)
def test_f9(self):
g = genus(self.f9)
self.assertEqual(g, 9)
def test_f7(self):
g = genus(self.f7)
self.assertEqual(g, 4)
def test_f6(self):
# curve is reducible
g = genus(self.f6)
self.assertEqual(g, -1)
def test_f5(self):
g = genus(self.f5)
self.assertEqual(g, 1)
def test_f7(self):
g = genus(self.f7)
self.assertEqual(g, 4)
def test_issue71(self):
R = QQ['x,y']
x, y = R.gens()
f = -x**5 + x + y**3
g = genus(f)
self.assertEqual(g, 4)
def test_f8(self):
g = genus(self.f8)
self.assertEqual(g, 3)
def test_f2(self):
g = genus(self.f2)
self.assertEqual(g, 2)
def test_f10(self):
g = genus(self.f10)
self.assertEqual(g, 3)
def test_f3(self):
g = genus(self.f3)
self.assertEqual(g, 0)
def test_f1(self):
g = genus(self.f1)
self.assertEqual(g, 0)
def test_f1(self):
g = genus(self.f1)
self.assertEqual(g, 0)
