from artin_representations import artin_label_iterator
artin_labels = artin_label_iterator(max_conductor = max_conductor, min_conductor = min_conductor)
for artin_label in artin_labels:
L_artin = ArtinLfunction(**artin_label)
if signed:
if L_artin.sign == 0: # This means no sign is known
continue
print artin_label
yield L_artin
def dirichlet_l_iterator(min_conductor = 2, max_conductor = 10**5):
from dirichlet_conrey import DirichletGroup_conrey
for modulus in filter(lambda _:_%4 != 2, xrange(min_conductor, max_conductor)):
print modulus
for c in DirichletGroup_conrey(modulus).primitive_characters():
L_dirichlet = Lfunction_Dirichlet(charactermodulus = modulus, characternumber = c.number())
yield L_dirichlet
def hypergeometric_l_iterator(min_conductor = 2, max_conductor = 10**5):
from hypergeometric import hypergeometric_label_iterator
for hgm_label in hypergeometric_label_iterator(min_conductor = min_conductor, max_conductor = max_conductor):
print hgm_label
L_hgm = HypergeometricMotiveLfunction(label = hgm_label)
yield L_hgm
up_ec = populator("test","l_ec")
up_artin = populator("test","l_artin")
up_dirichlet = populator("test", "l_dirichlet")
up_hypergeometric = populator("test", "l_hgm")
if L_artin.sign == 0: # This means no sign is known
continue
print(artin_label)
yield L_artin
def dirichlet_l_iterator(min_conductor=2, max_conductor=10**5):
from dirichlet_conrey import DirichletGroup_conrey
for modulus in filter(lambda _: _ % 4 != 2,
xrange(min_conductor, max_conductor)):
print(modulus)
for c in DirichletGroup_conrey(modulus).primitive_characters():
L_dirichlet = Lfunction_Dirichlet(charactermodulus=modulus,
characternumber=c.number())
yield L_dirichlet
def hypergeometric_l_iterator(min_conductor=2, max_conductor=10**5):
from hypergeometric import hypergeometric_label_iterator
for hgm_label in hypergeometric_label_iterator(
min_conductor=min_conductor, max_conductor=max_conductor):
print(hgm_label)
L_hgm = HypergeometricMotiveLfunction(label=hgm_label)
yield L_hgm
up_ec = populator("test", "l_ec")
up_artin = populator("test", "l_artin")
up_dirichlet = populator("test", "l_dirichlet")
up_hypergeometric = populator("test", "l_hgm")
from pipes import populator
from lfunctions import lf_data, dirichlet_l_iterator, artin_l_iterator, ec_l_iterator, hypergeometric_l_iterator
up = populator("test", "l_main")
def char_db():
for x in dirichlet_l_iterator(max_conductor=20):
up(lf_data(x))
def artin_db():
for x in artin_l_iterator(max_conductor=5):
up(lf_data(x))
def ec_db():
for x in ec_l_iterator(min_conductor=1, max_conductor=30):
up(lf_data(x))
def hgm_db():
for x in hypergeometric_l_iterator(max_conductor=30):
up(lf_data(x))
from pipes import populator
from lfunctions import lf_data, dirichlet_l_iterator, artin_l_iterator, ec_l_iterator, hypergeometric_l_iterator
up = populator("test","l_main")
def char_db():
for x in dirichlet_l_iterator(max_conductor = 20):
up(lf_data(x))
def artin_db():
for x in artin_l_iterator(max_conductor = 5):
up(lf_data(x))
def ec_db():
for x in ec_l_iterator(min_conductor = 1, max_conductor = 30):
up(lf_data(x))
def hgm_db():
for x in hypergeometric_l_iterator(max_conductor = 30):
up(lf_data(x))
