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, 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')