def render_one_maass_waveform_wp(info, prec=9):
r"""
Render the webpage of one Maass waveform.
The precision kwarg `prec` is passed to the coefficient table, and
indicates to round to 0 when the difference is less than 1e-`prec`.
"""
info["check"] = []
maass_id = info['maass_id']
mwf_logger.debug("id1={0}".format(maass_id))
try:
MF = WebMaassForm(maass_id)
except KeyError:
return flask.abort(404)
info['MF'] = MF
info['title'] = "Maass Form"
info['bread'] = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
if hasattr(MF, 'level'):
info['bread'].append(('Level {0}'.format(MF.level),
url_for('.render_maass_waveforms',
level=MF.level)))
info['title'] += r" on \(\Gamma_{0}( %s )\)" % info['MF'].level
if hasattr(MF, 'R') and MF.R:
info['title'] += r" with \(R=%s\)" % info['MF'].R
# make sure all the expected attributes of a WebMaassForm are actually present
missing = [
attr for attr in ['level', 'dim', 'num_coeff', 'R', 'character']
if not hasattr(MF, attr)
]
if missing:
mwf_logger.critical(
"Unable to render Maass form {0}; required attributes {1} missing from database record."
.format(maass_id, missing))
info['explain'] = "Unable to render Maass form {0} because the following required attributes were missing from the database record:".format(maass_id) \
+ "<ul>" + "".join(["<li>"+attr+"</li>" for attr in missing]) + "</ul>"
return render_template("problem.html", **info)
level = info['MF'].level
dim = info['MF'].dim
# numc = info['MF'].num_coeff # never used
# if info['MF'].has_plot(): # and level == 1: # Bara level = 1 har rätt format för tillfället //Lemurell
# info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id)
# Create the link to the L-function (put in '/L' at the beginning and '/' before '?'
Llink = "/L" + url_for('mwf.render_one_maass_waveform',
maass_id=maass_id) # + '/?db=' + info['db']
if dim == 1:
info["friends"] = [("L-function", Llink)]
# Navigation to previous and next form
# next_form_id = info['MF'].next_maassform_id()
# if next_form_id:
# next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform', maass_id = next_form_id) )
# else:
# next_data = ('','','')
# prev_form_id = info['MF'].prev_maassform_id()
# if prev_form_id:
# prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform', maass_id = prev_form_id) )
# else:
# prev_data = ('','','')
# info['navi'] = ( prev_data, next_data )
info["downloads"] = [('All stored data of the form',
url_for('mwf.render_one_maass_waveform',
maass_id=maass_id,
download='all')),
('All coefficients of the form',
url_for('mwf.render_one_maass_waveform',
maass_id=maass_id,
download='coefficients'))]
mwf_logger.debug("count={0}".format(maass_db.count()))
ch = info['MF'].character
s = r"\( \chi_{" + str(level) + "}(" + str(ch) + r",\cdot) \)"
# Q: Is it possible to get the knowls into the properties?
# A: Not in a nice way and this is not done elsewhere in the LMFDB; the knowls should appear on labels in the template
# knowls = {'level': 'mf.maass.mwf.level',
# 'weight': 'mf.maass.mwf.weight',
# 'char': 'mf.maass.mwf.character',
# 'R': 'mf.maass.mwf.eigenvalue',
# 'sym': 'mf.maass.mwf.symmetry',
# 'prec': 'mf.maass.mwf.precision',
# 'mult': 'mf.maass.mwf.dimension',
# 'ncoeff': 'mf.maass.mwf.ncoefficients',
# 'fricke': 'cmf.fricke',
# 'atkinlehner': 'cmf.atkin-lehner'}
properties = [
('Level', [info['MF'].level]),
('Symmetry', [info['MF'].even_odd()]),
('Weight', [info['MF'].the_weight()]),
('Character', [s]),
('Multiplicity', [dim]),
('Precision', [info['MF'].precision()]),
('Fricke Eigenvalue', [info['MF'].fricke()]),
('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]),
]
if dim > 1 and info['MF'].the_character() == "trivial":
properties.append(("Possibly oldform", []))
info['properties'] = properties
# The precision in set_table indicates which coefficients to set to zero.
# For instance, if the imaginary part is less than the precision in
# absolute value, then it is set to 0 in set_table.
# The value 1e-9 is chosen arbitrarily, as recommended in issue #2076.
info['MF'].set_table(prec=prec)
cols = [{
"aaSorting": "asc",
"sWidth": "10%",
"bSortable": "true",
"bSearchable": "false",
"sType": "numeric"
}]
negc = info['MF'].table.get('negc', 0)
for j in range(dim):
if not negc:
col = {
"bSortable": "false",
"bSearchable": "true",
"sClass": "alignLeft",
"fnRender": "text-align:left",
"sType": "numeric"
}
cols.append(col)
else:
col1 = {
"bSortable": "false",
"bSearchable": "true",
"sClass": "alignLeft",
"fnRender": "text-align:left",
"sType": "numeric"
}
col2 = {
"bSortable": "false",
"bSearchable": "true",
"sClass": "alignLeft",
"fnRender": "text-align:left",
"sType": "numeric"
}
cols.append(col1)
cols.append(col2)
info['credit'] = info['MF'].contributor_name
info['coeff_aoColumns'] = cols # json.dumps(cols)
mwf_logger.debug("col={0}".format(cols))
return render_template("mwf_one_form.html", **info)
def render_one_maass_waveform_wp(info):
r"""
Render the webpage of one Maass waveform.
"""
info["check"] = []
DB = connect_db()
maass_id = info['maass_id']
mwf_logger.debug("id1={0}".format(maass_id))
try:
MF = WebMaassForm(DB, maass_id)
except KeyError:
return flask.abort(404)
info['MF'] = MF
info['title'] = "Maass form"
info['bread'] = [('Modular forms', url_for('mf.modular_form_main_page')),
('Maass waveforms', url_for('.render_maass_waveforms'))]
if hasattr(MF,'level'):
info['bread'].append(('Level {0}'.format(MF.level), url_for('.render_maass_waveforms', level=MF.level)))
info['title'] += " on \(\Gamma_{0}( %s )\)" % info['MF'].level
if hasattr(MF, 'R') and MF.R:
info['title'] += " with \(R=%s\)" % info['MF'].R
# make sure all the expected attributes of a WebMaassForm are actually present
missing = [attr for attr in ['level', 'dim', 'num_coeff', 'R', 'character'] if not hasattr(MF, attr)]
if missing:
mwf_logger.critical("Unable to render Maass form {0}; required attributes {1} missing from database record.".format(maass_id,missing))
info['explain'] = "Unable to render Maass form {0} because the following required attributes were missing from the database record:".format(maass_id) \
+ "<ul>" + "".join(["<li>"+attr+"</li>" for attr in missing]) + "</ul>"
return render_template("problem.html", **info)
level = info['MF'].level
dim = info['MF'].dim
# numc = info['MF'].num_coeff # never used
if info['MF'].has_plot(): # and level == 1: # Bara level = 1 har rätt format för tillfället //Lemurell
info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id)
# Create the link to the L-function (put in '/L' at the beginning and '/' before '?'
Llink = "/L" + url_for('mwf.render_one_maass_waveform', maass_id=maass_id) # + '/?db=' + info['db']
if dim == 1:
info["friends"] = [("L-function", Llink)]
# Navigation to previous and next form
next_form_id = info['MF'].next_maassform_id()
if next_form_id:
next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform',
maass_id = next_form_id) )
else:
next_data = ('','','')
prev_form_id = info['MF'].prev_maassform_id()
if prev_form_id:
prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform',
maass_id = prev_form_id) )
else:
prev_data = ('','','')
info['navi'] = ( prev_data, next_data )
info["downloads"] = [ ('All stored data of the form',
url_for('mwf.render_one_maass_waveform', maass_id=maass_id,
download='all')),
('All coefficients of the form',
url_for('mwf.render_one_maass_waveform', maass_id=maass_id,
download='coefficients')) ]
mwf_logger.debug("count={0}".format(DB.count()))
ch = info['MF'].character
s = "\( \chi_{" + str(level) + "}(" + str(ch) + ",\cdot) \)"
# Q: Is it possible to get the knowls into the properties?
# A: Not in a nice way and this is not done elsewhere in the LMFDB; the knowls should appear on labels in the template
# knowls = {'level': 'mf.maass.mwf.level',
# 'weight': 'mf.maass.mwf.weight',
# 'char': 'mf.maass.mwf.character',
# 'R': 'mf.maass.mwf.eigenvalue',
# 'sym': 'mf.maass.mwf.symmetry',
# 'prec': 'mf.maass.mwf.precision',
# 'mult': 'mf.maass.mwf.dimension',
# 'ncoeff': 'mf.maass.mwf.ncoefficients',
# 'fricke': 'mf.maass.mwf.fricke',
# 'atkinlehner': 'mf.maass.mwf.atkinlehner'}
properties = [('Level', [info['MF'].level]),
('Symmetry', [info['MF'].even_odd()]),
('Weight', [info['MF'].the_weight()]),
('Character', [s]),
('Multiplicity', [dim]),
('Precision', [info['MF'].precision()]),
('Fricke Eigenvalue', [info['MF'].fricke()]),
('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]),
]
if dim > 1 and info['MF'].the_character() == "trivial":
properties.append(("Possibly oldform", []))
info['properties2'] = properties
info['MF'].set_table()
cols = [{"aaSorting": "asc", "sWidth": "10%", "bSortable": "true", "bSearchable": "false",
"sType": "numeric"}]
negc = info['MF'].table.get('negc', 0)
for j in range(dim):
if not negc:
col = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft",
"fnRender": "text-align:left", "sType": "numeric"}
cols.append(col)
else:
col1 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft",
"fnRender": "text-align:left", "sType": "numeric"}
col2 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft",
"fnRender": "text-align:left", "sType": "numeric"}
cols.append(col1)
cols.append(col2)
info['credit'] = info['MF'].contributor_name
info['coeff_aoColumns'] = cols # json.dumps(cols)
mwf_logger.debug("col={0}".format(cols))
return render_template("mwf_one_form.html", **info)
import pymongo
from flask import render_template, url_for, request, redirect, make_response, send_file
from lmfdb.utils import *
from lmfdb.modular_forms.elliptic_modular_forms.backend.plot_dom import *
from lmfdb.modular_forms.maass_forms.maass_waveforms import MWF, mwf_logger, mwf
from lmfdb.modular_forms.maass_forms.maass_waveforms.backend.maass_forms_db import MaassDB
# from knowledge.knowl import Knowl
# from psage.modform.maass.lpkbessel import *
# build extensions
try:
# from modular_forms.maass_forms.backend.lpkbessel import *
from lpkbessel import *
except Exception as ex:
mwf_logger.critical(
"maass_waveforms/views/mwf_utils.py: couldn't load backend. Exception: '%s' To enable full Maass waveform functionality: compile the cython file lpkbessel.pyx with sage -c create_local_so('lpkbessel.pyx')"
% ex)
# try:
# # Builds the kbessel extension build_ext --inplace $*
# execfile("setup.py")
# except Exception as ex1:
mwf_dbname = 'MaassWaveForm'
available_collections = ['FS', 'HT']
_DB = None
def connect_db():
global _DB
if _DB is None:
import StringIO
import pymongo
from sage.all import is_odd, is_even, dumps, loads
# mwf = flask.Blueprint('mwf', __name__, template_folder="templates",static_folder="static")
from lmfdb.modular_forms.maass_forms.maass_waveforms import MWF, mwf_logger, mwf
from lmfdb.modular_forms.maass_forms.maass_waveforms.backend.mwf_utils import *
from lmfdb.modular_forms.maass_forms.maass_waveforms.backend.mwf_classes import MaassFormTable, WebMaassForm
from lmfdb.modular_forms.maass_forms.maass_waveforms.backend.maass_forms_db import MaassDB
from mwf_upload_data import *
from mwf_plot import paintSvgMaass
logger = mwf_logger
import json
try:
from dirichlet_conrey import *
except:
mwf_logger.critical("Could not import dirichlet_conrey!")
# this is a blueprint specific default for the tempate system.
# it identifies the body tag of the html website with class="wmf"
@mwf.context_processor
def body_class():
return {'body_class': MWF}
met = ['GET', 'POST']
@mwf.route("/", methods=met)
@mwf.route("/<int:level>/", methods=met)
@mwf.route("/<int:level>/<int:weight>/", methods=met)
@mwf.route("/<int:level>/<int:weight>/<int:character>/", methods=met)
import lmfdb.base
import pymongo
from flask import render_template, url_for, request, redirect, make_response, send_file
from lmfdb.utils import *
from lmfdb.modular_forms.elliptic_modular_forms.backend.plot_dom import *
from lmfdb.modular_forms.maass_forms.maass_waveforms import MWF, mwf_logger, mwf
from lmfdb.modular_forms.maass_forms.maass_waveforms.backend.maass_forms_db import MaassDB
# from knowledge.knowl import Knowl
# from psage.modform.maass.lpkbessel import *
# build extensions
try:
# from modular_forms.maass_forms.backend.lpkbessel import *
from lpkbessel import *
except Exception as ex:
mwf_logger.critical("maass_waveforms/views/mwf_utils.py: couldn't load backend. Exception: '%s' To enable full Maass waveform functionality: compile the cython file lpkbessel.pyx with sage -c create_local_so('lpkbessel.pyx')" % ex)
# try:
# # Builds the kbessel extension build_ext --inplace $*
# execfile("setup.py")
# except Exception as ex1:
mwf_dbname = 'MaassWaveForm'
available_collections = ['FS', 'HT']
_DB = None
def connect_db():
global _DB
if _DB is None:
host = lmfdb.base.getDBConnection().host