def Fourier_coefficients( self, det_list):
fcs = DB.find( { 'owner_id': self.__id,
'data_type': 'fc',
'det': { '$in': [ str(d) for d in det_list]}
})
P = PolynomialRing( self.__field, names = 'x,y')
loc = P.gens_dict()
loc.update ( self.__field.gens_dict())
return dict( (Integer(fcd['det']),
dict( (tuple( eval(f)), sage_eval( fcd['data'][f], locals = loc))
for f in fcd['data'] ))
for fcd in fcs)
def Fourier_coefficients( self, det_list):
fcs = DB.find( { 'owner_id': self.__id,
'data_type': 'fc',
'det': { '$in': [ str(d) for d in det_list]}
})
P = PolynomialRing( self.__field, names = 'x,y')
loc = P.gens_dict()
loc.update ( self.__field.gens_dict())
return dict( (Integer(fcd['det']),
dict( (tuple( eval(f)), sage_eval( fcd['data'][f], locals = loc))
for f in fcd['data'] ))
for fcd in fcs)
def __init__(self, collection, name):
dct = {'collection': collection, 'name': name}
smple = find_sample(dct)
assert smple, '%s: sample does not exist' % dct
self.__collection = collection
self.__name = name
weight = smple.get('weight')
field = smple.get('field')
fcs = smple.get('Fourier_coefficients')
evs = smple.get('eigenvalues')
self.__weight = Integer(weight) if weight else weight
R = PolynomialRing(IntegerRing(), name='x')
self.__field = sage_eval(field, locals=R.gens_dict()) if field else field
loc_f = self.__field.gens_dict()
P = PolynomialRing(self.__field, names='x,y')
loc = P.gens_dict()
loc.update(loc_f)
self.__fcs = dict((tuple(eval(f)),
sage_eval(fcs[f], locals=loc))
for f in fcs) if fcs else fcs
loc = self.field().gens_dict()
self.__evs = dict( (eval(l), sage_eval( evs[l], locals=loc_f)) for l in evs)\
if evs else evs
self.__explicit_formula = smple.get('explicit_formula')
def __init__(self, collection, name):
dct = {'collection': collection, 'name': name}
smple = find_sample(dct)
assert smple, '%s: sample does not exist' % dct
self.__collection = collection
self.__name = name
weight = smple.get('weight')
field = smple.get('field')
fcs = smple.get('Fourier_coefficients')
evs = smple.get('eigenvalues')
self.__weight = Integer(weight) if weight else weight
R = PolynomialRing(IntegerRing(), name='x')
self.__field = sage_eval(field,
locals=R.gens_dict()) if field else field
loc_f = self.__field.gens_dict()
P = PolynomialRing(self.__field, names='x,y')
loc = P.gens_dict()
loc.update(loc_f)
self.__fcs = dict((tuple(eval(f)), sage_eval(fcs[f], locals=loc))
for f in fcs) if fcs else fcs
loc = self.field().gens_dict()
self.__evs = dict( (eval(l), sage_eval( evs[l], locals=loc_f)) for l in evs)\
if evs else evs
self.__explicit_formula = smple.get('explicit_formula')
def __init__( self, doc):
self.__collection = doc.get( 'collection')
self.__name = doc.get( 'name')
weight = doc.get( 'weight')
self.__weight = sage_eval( weight) if weight else weight
field = doc.get( 'field')
R = PolynomialRing( IntegerRing(), name = 'x')
self.__field = sage_eval( field, locals = R.gens_dict()) if field else field
self.__explicit_formula = doc.get( 'explicit_formula')
self.__type = doc.get( 'type')
self.__is_eigenform = doc.get( 'is_eigenform')
self.__is_integral = doc.get( 'is_integral')
self.__representation = doc.get( 'representation')
self.__id = doc.get( '_id')
def __init__( self, doc):
self.__collection = doc.get( 'collection')
self.__name = doc.get( 'name')
weight = doc.get( 'weight')
self.__weight = sage_eval( weight) if weight else weight
field = doc.get( 'field')
R = PolynomialRing( IntegerRing(), name = 'x')
self.__field = sage_eval( field, locals = R.gens_dict()) if field else field
self.__explicit_formula = doc.get( 'explicit_formula')
self.__type = doc.get( 'type')
self.__is_eigenform = doc.get( 'is_eigenform')
self.__is_integral = doc.get( 'is_integral')
self.__representation = doc.get( 'representation')
self.__id = doc.get( '_id')
