def populate_all_characters(self, level, weight, verbose=True):
from sage.all import DirichletGroup
G = DirichletGroup(level)
B = G.galois_orbits()
B = [character[0].minimize_base_ring() for character in B]
for character in B:
self.populate(level, weight, character, verbose)
def generate_dimension_table_gamma1(maxN=100, maxk=12, minN=3, mink=2):
C = pymongo.connection.Connection(port=int(37010))
ms = C['modularforms']['Modular_symbols.files']
print ms
data = dict()
for N in range(minN, maxN + 1):
data[N] = dict()
for k in range(mink, maxk + 1):
data[N][k] = dict()
if N > 2:
D = DirichletGroup(N)
G = D.galois_orbits(reps_only=True)
dimall = 0
in_db_all = True
for xi, x in enumerate(G):
dim = dimension_new_cusp_forms(x, k)
dimall += dim
finds = ms.find({'t': [int(N), int(k), int(xi)]})
in_db = finds.count() > 0
if not in_db:
in_db_all = False
data[N][k][xi] = {'dimension': dim, 'in_db': in_db}
else:
in_db_all = True
# we only have the trivial character
finds = ms.find({'t': [int(N), int(k), int(0)]})
in_db = finds.count() > 0
if not in_db:
in_db_all = False
dimall = dimension_new_cusp_forms(N, k)
data[N][k][0] = {'dimension': dimall, 'in_db': in_db}
# print N,k,data[N][k]
data[N][k][-1] = {'dimension': dimall, 'in_db': in_db_all}
print "Computed data for level ", N
return ms, data
def populate_all_characters(self, level, weight, verbose=True):
from sage.all import DirichletGroup
G = DirichletGroup(level)
B = G.galois_orbits()
B = [character[0].minimize_base_ring() for character in B]
for character in B:
self.populate(level, weight, character, verbose)
def populate_quadratic_characters(self, level, weight, verbose=True):
from sage.all import DirichletGroup, QQ
G = DirichletGroup(level,QQ)
B = G.galois_orbits()
B = [character[0].minimize_base_ring() for character in B
if character[0].order()==2]
for character in B:
self.populate(level, weight, character, verbose)
def populate_quadratic_characters(self, level, weight, verbose=True):
from sage.all import DirichletGroup, QQ
G = DirichletGroup(level, QQ)
B = G.galois_orbits()
B = [
character[0].minimize_base_ring() for character in B
if character[0].order() == 2
]
for character in B:
self.populate(level, weight, character, verbose)
def generate_dimension_table_gamma1(maxN=100, maxk=12, minN=3, mink=2):
C = pymongo.connection.Connection(port=dbport)
C = pymongo.connection.Connection(port=dbport)
ms = C['modularforms']['Modular_symbols.files']
print ms
data = dict()
for N in range(minN, maxN + 1):
data[N] = dict()
for k in range(mink, maxk + 1):
data[N][k] = dict()
if N > 2:
D = DirichletGroup(N)
G = D.galois_orbits(reps_only=True)
dimall = 0
in_db_all = True
for xi, x in enumerate(G):
dim = dimension_new_cusp_forms(x, k)
dimall += dim
finds = ms.find({'t': [int(N), int(k), int(xi)]})
in_db = finds.count() > 0
if not in_db:
in_db_all = False
data[N][k][xi] = {'dimension': dim, 'in_db': in_db}
else:
in_db_all = True
# we only have the trivial character
finds = ms.find({'t': [int(N), int(k), int(0)]})
in_db = finds.count() > 0
if not in_db:
in_db_all = False
dimall = dimension_new_cusp_forms(N, k)
data[N][k][0] = {'dimension': dimall, 'in_db': in_db}
# print N,k,data[N][k]
data[N][k][-1] = {'dimension': dimall, 'in_db': in_db_all}
print "Computed data for level ", N
return ms, data
