def init_dynamic_properties(self, embeddings=False):
if self.number is not None:
emf_logger.debug('number: {0}'.format(self.number))
self.character = DirichletCharacter_conrey(
DirichletGroup_conrey(self.modulus), self.number)
if not self.number == 1:
self.sage_character = self.character.sage_character()
else:
self.sage_character = trivial_character(self.modulus)
self.name = "Character nr. {0} of modulus {1}".format(
self.number, self.modulus)
if embeddings:
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dirichlet_character_conrey_galois_orbit_embeddings
emb = dirichlet_character_conrey_galois_orbit_embeddings(
self.modulus, self.number)
self.set_embeddings(emb)
c = self.character
if self.conductor == 0:
self.conductor = c.conductor()
if self.order == 0:
self.order = c.multiplicative_order()
if self.modulus_euler_phi == 0:
self.modulus_euler_phi = euler_phi(self.modulus)
if self.latex_name == '':
self.latex_name = "\chi_{" + str(self.modulus) + "}(" + str(
self.number) + ", \cdot)"
def init_dynamic_properties(self):
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dirichlet_character_conrey_galois_orbit_embeddings
if self.number is not None:
emf_logger.debug('number: {0}'.format(self.number))
self.character = DirichletCharacter_conrey(DirichletGroup_conrey(self.modulus),self.number)
self.sage_character = self.character.sage_character()
self.name = "Character nr. {0} of modulus {1}".format(self.number,self.modulus)
emb = dirichlet_character_conrey_galois_orbit_embeddings(self.modulus,self.number)
self.set_embeddings(emb)
def init_dynamic_properties(self):
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dirichlet_character_conrey_galois_orbit_embeddings
if self.number is not None:
emf_logger.debug('number: {0}'.format(self.number))
self.character = DirichletCharacter_conrey(
DirichletGroup_conrey(self.modulus), self.number)
self.sage_character = self.character.sage_character()
self.name = "Character nr. {0} of modulus {1}".format(
self.number, self.modulus)
emb = dirichlet_character_conrey_galois_orbit_embeddings(
self.modulus, self.number)
self.set_embeddings(emb)
def init_dynamic_properties(self, embeddings=False):
if self.number is not None:
emf_logger.debug('number: {0}'.format(self.number))
self.character = DirichletCharacter_conrey(DirichletGroup_conrey(self.modulus),self.number)
if not self.number == 1:
self.sage_character = self.character.sage_character()
else:
self.sage_character = trivial_character(self.modulus)
self.name = "Character nr. {0} of modulus {1}".format(self.number,self.modulus)
if embeddings:
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dirichlet_character_conrey_galois_orbit_embeddings
emb = dirichlet_character_conrey_galois_orbit_embeddings(self.modulus,self.number)
self.set_embeddings(emb)
c = self.character
if self.conductor == 0:
self.conductor = c.conductor()
if self.order == 0:
self.order = c.multiplicative_order()
if self.modulus_euler_phi == 0:
self.modulus_euler_phi = euler_phi(self.modulus)
if self.latex_name == '':
self.latex_name = "\chi_{" + str(self.modulus) + "}(" + str(self.number) + ", \cdot)"
