build_Lfunction_db_2.py

# This builds a database of L-functions that occur (maybe on the fly) on the website

from lmfdb import base
from sage.all import DirichletGroup
from lmfdb.lfunctions import RiemannZeta, Lfunction_Dirichlet, Lfunction_EC_Q

C = base.getDBConnection()

# Iterators over L-functions. It would be nice to have all of the types of forms that appear on the site


def Dirichlet_Lfunctions_iterator(qMax):
    for q in [3..qMax]:
        for n in range(len(DirichletGroup(q))):
            yield Lfunction_Dirichlet(charactermodulus=q, characternumber=n)


def EC_iterator():
    data = set(_["label"] for _ in C.elliptic_curves.curves.find({}, ["label"]))
    for c in data:
        yield Lfunction_EC_Q(c["label"])


def Lfunction_iterator(dirichlet_max=100):
    yield RiemannZeta()
    for L in Dirichlet_Lfunctions_iterator(dirichlet_max):
        yield L
    for L_of_curve in EC_iterator():
        yield L_of_curve


def inject_Lfunctions(it):
    for L in it:
        L.inject_database(["original_mathematical_object()"])


# def build_indices():
#    C.Lfunctions.Lfunctions.create_index("level", "self_dual")

if __name__ == "__main__":
    # build_indices()
    # remove_all()
    inject_Lfunctions(Dirichlet_Lfunctions_iterator(10))