def set_info_for_gamma1(level,weight,weight2=None):
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dimension_from_db,dirichlet_character_conrey_galois_orbits_reps
from sage.all import DirichletGroup
from dirichlet_conrey import DirichletGroup_conrey
G = dirichlet_character_conrey_galois_orbits_reps(level)
dim_table = dimension_from_db(level,weight,chi='all',group='gamma1')
if weight<> None and weight2>weight:
w1 = weight; w2 = weight2
else:
w1 = weight; w2 = weight
table = {'galois_orbit':{},'galois_orbits_reps':{},'cells':{}}
table['weights']=range(w1,w2+1)
max_gal_count = 0
from lmfdb.base import getDBConnection
db = getDBConnection()['modularforms2']['webmodformspace']
for x in G:
xi = x.number()
table['galois_orbits_reps'][xi]= {'head' : "\(\chi_{" + str(level) + "}(" + str(xi) + ",\cdot) \)",
'chi': str(x.number()),
'url': url_for('characters.render_Dirichletwebpage', modulus=level, number=xi) }
table['galois_orbit'][xi]= [
{'head' : "\({0}\)".format(xc.number()),
'chi': str(xc.number()),
'url': url_for('characters.render_Dirichletwebpage', modulus=level, number=xc.number()) }
for xc in x.galois_orbit()]
tmp_gal_count = len(table['galois_orbit'][xi])
if tmp_gal_count > max_gal_count:
max_gal_count = tmp_gal_count
table['cells'][xi]={}
orbit = map(lambda x:x.number(),x.galois_orbit())
for k in range(w1,w2+1):
# try:
# d,t = dim_table[level][weight][xi]
# except KeyError:
# d = -1; t = 0
r = db.find_one({'level':int(level),'weight':int(k),'character':{"$in":orbit}})
if not r is None:
d = r.get('dimension',"n/a")
url = url_for(
'emf.render_elliptic_modular_forms', level=level, weight=k, character=xi)
else:
url = ''
d = "n/a"
table['cells'][xi][k] ={'N': level, 'k': k, 'chi': xi, 'url': url, 'dim': d}
table['galois_orbits_reps_numbers']=table['galois_orbits_reps'].keys()
table['galois_orbits_reps_numbers'].sort()
table['maxGalCount']=max_gal_count
return table
def set_info_for_gamma1(level,weight,weight2=None):
from lmfdb.modular_forms.elliptic_modular_forms.backend.emf_utils import dimension_from_db,dirichlet_character_conrey_galois_orbits_reps
from sage.all import DirichletGroup
from dirichlet_conrey import DirichletGroup_conrey
G = dirichlet_character_conrey_galois_orbits_reps(level)
dim_table = dimension_from_db(level,weight,chi='all',group='gamma1')
if weight<> None and weight2>weight:
w1 = weight; w2 = weight2
else:
w1 = weight; w2 = weight
table = {'galois_orbit':{},'galois_orbits_reps':{},'cells':{}}
table['weights']=range(w1,w2+1)
max_gal_count = 0
for x in G:
xi = x.number()
table['galois_orbits_reps'][xi]= {'head' : "\(\chi_{" + str(level) + "}(" + str(xi) + ",\cdot) \)",
'chi': str(x.number()),
'url': url_for('characters.render_Dirichletwebpage', modulus=level, number=xi) }
table['galois_orbit'][xi]= [
{'head' : "\({0}\)".format(xc.number()),
'chi': str(xc.number()),
'url': url_for('characters.render_Dirichletwebpage', modulus=level, number=xc.number()) }
for xc in x.galois_orbit()]
tmp_gal_count = len(table['galois_orbit'][xi])
if tmp_gal_count > max_gal_count:
max_gal_count = tmp_gal_count
table['cells'][xi]={}
for k in range(w1,w2+1):
try:
d,t = dim_table[level][weight][xi]
except KeyError:
d = -1; t = 0
if t<>0:
url = url_for(
'emf.render_elliptic_modular_forms', level=level, weight=weight, character=xi)
else:
url = ''
table['cells'][xi][k] ={'N': level, 'k': k, 'chi': xi, 'url': url, 'dim': d}
table['galois_orbits_reps_numbers']=table['galois_orbits_reps'].keys()
table['galois_orbits_reps_numbers'].sort()
table['maxGalCount']=max_gal_count
return table
