def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds):
info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds)
info["credit"] = ""
info["learnmore"] = []
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
DB = connect_db()
if not info['collection'] or info['collection'] == 'all':
# FIXME: metadata returned by get_collections_info is never used, only side effect appears to be logging messages
# md = get_collections_info()
get_collections_info()
info['cur_character'] = character
if level > 0:
info['maass_weight'] = DB.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = DB.characters(int(level), float(weight))
if character > - 1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass forms'
info['list_of_levels'] = DB.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular forms', url_for('mf.modular_form_main_page')),
('Maass forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
DB.set_table()
DB.table['ncols'] = 10
info['DB'] = DB
info['dbcount'] = DB.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)
def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds):
info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds)
info["credit"] = ""
info["learnmore"] = []
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
DB = connect_db()
if not info['collection'] or info['collection'] == 'all':
# FIXME: metadata returned by get_collections_info is never used, only side effect appears to be logging messages
# md = get_collections_info()
get_collections_info()
info['cur_character'] = character
if level > 0:
info['maass_weight'] = DB.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = DB.characters(int(level), float(weight))
if character > - 1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass forms'
info['list_of_levels'] = DB.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular forms', url_for('mf.modular_form_main_page')),
('Maass forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
DB.set_table()
DB.table['ncols'] = 10
info['DB'] = DB
info['dbcount'] = DB.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)
def plot_maassform(maass_id):
r"""
Render the plot of the Maass waveform as a pg-file.
Loads it from the database.
"""
try:
maass_id = bson.objectid.ObjectId(maass_id)
except bson.errors.InvalidId:
return flask.abort(404)
DB = connect_db()
data = DB.get_maassform_plot_by_id(maass_id)
if not data:
return flask.abort(404)
data = data['plot']
response = make_response(loads(data))
response.headers['Content-type'] = 'image/png'
return response
def plot_maassform(maass_id):
r"""
Render the plot of the Maass waveform as a pg-file.
Loads it from the database.
"""
try:
maass_id = bson.objectid.ObjectId(maass_id)
except bson.errors.InvalidId:
return flask.abort(404)
DB = connect_db()
data = DB.get_maassform_plot_by_id(maass_id)
if not data:
return flask.abort(404)
data = data['plot']
response = make_response(loads(data))
response.headers['Content-type'] = 'image/png'
return response
def render_picard_maass_forms():
return render_picard_test()
htp = connect_db('HTPicard').picard # base.getDBConnection().HTPicard.picard
docid = request.args.get('id', None)
test = request.args.get('test', None)
if test:
return render_picard_test()
if docid is not None:
return render_picard_maass_forms_get_one(docid)
ds = [(_['_id'], _['ev']) for _ in htp.find({}, ['ev'], sort=[('ev', 1)])]
data = None
# TT= MaassformsPicardDisplay(mwfp_dbname,collection='all',skip=[0],limit=[10],keys=['Eigenvalue'])
# TT.set_table_browsing()
# TT.get_metadata()
if docid:
data = htp.find_one({'_id': docid})
return render_template("maass_form_picard.html", title="Maass forms on \(\mathrm{PSL}(2,\mathbb{Z}[i])\)", data=data, id=docid, ds=ds)
def render_one_maass_waveform(maass_id, **kwds):
r"""
Render the webpage of one Maass waveform by calling
render_one_maass_waveform_wp or generates a download
in a format that is readable by python.
"""
info = get_args_mwf(**kwds)
try:
info['maass_id'] = bson.objectid.ObjectId(maass_id)
except bson.errors.InvalidId:
return flask.abort(404)
mwf_logger.debug("in_render_one_maass_form: info={0}".format(info))
if (info.get('download', '') == 'coefficients' or
info.get('download', '') == 'all'):
DB = connect_db()
maass_id = info['maass_id']
try:
f = WebMaassForm(DB, maass_id)
except KeyError:
flask.abort(404)
filename = str(f._maassid) + '.txt'
if info.get('download', '') == 'coefficients':
res = f.coeffs
else:
res = f.download_text()
strIO = StringIO.StringIO()
strIO.write(res)
strIO.seek(0)
try:
return send_file(strIO,
attachment_filename=filename,
as_attachment=True,
add_etags=False)
except IOError:
info['error'] = "Could not send file!"
else:
return render_one_maass_waveform_wp(info)
def render_one_maass_waveform(maass_id, **kwds):
r"""
Render the webpage of one Maass waveform by calling
render_one_maass_waveform_wp or generates a download
in a format that is readable by python.
"""
info = get_args_mwf(**kwds)
try:
info['maass_id'] = bson.objectid.ObjectId(maass_id)
except bson.errors.InvalidId:
return flask.abort(404)
mwf_logger.debug("in_render_one_maass_form: info={0}".format(info))
if (info.get('download', '') == 'coefficients'
or info.get('download', '') == 'all'):
DB = connect_db()
maass_id = info['maass_id']
try:
f = WebMaassForm(DB, maass_id)
except KeyError:
flask.abort(404)
filename = str(f._maassid) + '.txt'
if info.get('download', '') == 'coefficients':
res = f.coeffs
else:
res = f.download_text()
strIO = StringIO.StringIO()
strIO.write(res)
strIO.seek(0)
try:
return send_file(strIO,
attachment_filename=filename,
as_attachment=True,
add_etags=False)
except IOError:
info['error'] = "Could not send file!"
else:
return render_one_maass_waveform_wp(info)
def render_picard_maass_forms():
return render_picard_test()
htp = connect_db(
'HTPicard').picard # base.getDBConnection().HTPicard.picard
docid = request.args.get('id', None)
test = request.args.get('test', None)
if test:
return render_picard_test()
if docid is not None:
return render_picard_maass_forms_get_one(docid)
ds = [(_['_id'], _['ev']) for _ in htp.find({}, ['ev'], sort=[('ev', 1)])]
data = None
# TT= MaassformsPicardDisplay(mwfp_dbname,collection='all',skip=[0],limit=[10],keys=['Eigenvalue'])
# TT.set_table_browsing()
# TT.get_metadata()
if docid:
data = htp.find_one({'_id': docid})
return render_template(
"maass_form_picard.html",
title="Maass Forms on \(\mathrm{PSL}(2,\mathbb{Z}[i])\)",
data=data,
id=docid,
ds=ds)
def evs_table(search, twodarray=False):
DB = connect_db()
indices = DB.find_Maass_form_id(search)
table = []
nrows = 0
for fid in indices:
f = WebMaassForm(DB, fid, get_coeffs=False)
row = {}
R = f.R
N = f.level
k = f.weight
if R is None or N is None or k is None:
continue
row['R'] = R
row['N'] = N
if k == 0 or k == 1:
row['k'] = int(k)
else:
row['k'] = k
# j = f.get('Character',0)
## Now get the COnrey number.
## First the character
if k == 0:
# s+=url_for('characters.render_Dirichletwebpage',modulus=level,number=ch)
row['ch'] = f.the_character() # conrey_character_name(N,chi)
else:
row['ch'] = "eta"
st = f.symmetry
if st == 1:
st = "odd"
elif st == 0:
st = "even"
else:
st = "n/a"
row['symmetry'] = st
er = f.error
if er > 0:
er = "{0:1.0e}".format(er)
else:
er = "unknown"
row['err'] = er
dim = f.dim
if dim is None:
dim = 1 # "undefined"
row['dim'] = dim
numc = f.num_coeff
row['numc'] = numc
cev = f.cusp_evs
row['fricke'] = 'n/a'
row['cuspevs'] = 'n/a'
if row['k'] == 0 and isinstance(cev, list):
if len(cev) > 1:
fricke = cev[1]
row['fricke'] = fricke
row['cuspevs'] = cev
url = url_for('mwf.render_one_maass_waveform', maass_id=f._maassid)
row['url'] = url
nrows += 1
if twodarray:
s = '<a href="{0}">{1}</a>'.format(row['url'], row['R'])
rowr = [row['N'], row['k'], row['ch'], s,
row['symmetry'], row['err'], row['dim'], row['numc'],
row['fricke'], row['cuspevs']]
table.append(rowr)
else:
# row=row.values()
table.append(row)
mwf_logger.debug("nrows:".format(nrows))
evs = {'table': {}}
evs['table']['data'] = table
evs['table']['nrows'] = nrows
evs['table']['ncols'] = 10
evs['table']['colheads'] = []
knowls = ['mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character',
'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry',
'mf.maass.mwf.precision', 'mf.maass.mwf.dimension',
'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke',
'mf.maass.mwf.atkinlehner']
titles = ['Level', 'Weight', 'Char',
'Eigenvalue', 'Symmetry',
'Precision', 'Mult.',
'Coeff.', 'Fricke', 'Atkin-Lehner']
for i in range(10):
evs['table']['colheads'].append((knowls[i], titles[i]))
if 'limit' in search:
search.pop('limit')
if 'skip' in search:
search.pop('skip')
evs['totalrecords'] = DB.count(search)
return evs
def evs_table2(search, twodarray=False):
r"""
Returns an object containing the results of a search for Maass forms.
"""
DB = connect_db()
table = []
nrows = 0
fs = DB.get_Maass_forms(search)
mwf_logger.debug("numrec:{0}".format(len(fs)))
for f in fs: # indices:
row = {}
R = f.get('Eigenvalue', None)
N = f.get('Level', None)
k = f.get('Weight', None)
if R is None or N is None or k is None:
continue
row['R'] = R
row['N'] = N
if k == 0 or k == 1:
row['k'] = int(k)
else:
row['k'] = k
##
chi = f.get('Character', 0)
conrey = f.get('Conrey', 0)
if conrey == 0: # we need to change to conrey's notation
chi = DB.getDircharConrey(N, chi)
## Now get the COnrey number.
## First the character
if k == 0:
url = url_for('characters.render_Dirichletwebpage', modulus=N, number=chi)
s = "<a href={0}>{1}</a>".format(url, chi)
row['ch'] = s
else:
row['ch'] = "eta"
st = f.get('Symmetry', -1)
if st == 1:
st = "odd"
elif st == 0:
st = "even"
else:
st = "n/a"
row['symmetry'] = st
er = f.get('Error', 0)
if er > 0:
er = "{0:1.0e}".format(er)
else:
er = "unknown"
row['err'] = er
dim = f.get('Dim', 0)
if dim is None:
dim = 1 # "undefined"
row['dim'] = dim
numc = f.get('Numc', 0)
row['numc'] = numc
cev = f.get('Cusp_evs', [])
row['fricke'] = 'n/a'
row['cuspevs'] = 'n/a'
if row['k'] == 0 and isinstance(cev, list):
if len(cev) > 1:
fricke = cev[1]
row['fricke'] = fricke
s = '{0}'.format(cev[0])
for j in range(1, len(cev)):
s += ",{0}".format(cev[j])
elif len(cev) == 1:
s = str(cev[0])
elif len(cev) == 0:
s = 'n/a'
row['cuspevs'] = s
url = url_for('mwf.render_one_maass_waveform', maass_id=f.get('_id'))
row['url'] = url
nrows += 1
if twodarray:
s = '<a href="{0}">{1}</a>'.format(row['url'], row['R'])
rowr = [row['N'], row['k'], row['ch'], s,
row['symmetry'], row['err'], row['dim'], row['numc'],
row['fricke'], row['cuspevs']]
table.append(rowr)
else:
# row=row.values()
table.append(row)
mwf_logger.debug("nrows:".format(nrows))
evs = {'table': {}}
evs['table']['data'] = table
evs['table']['nrows'] = nrows
evs['table']['ncols'] = 10
evs['table']['colheads'] = []
knowls = ['mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character',
'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry',
'mf.maass.mwf.precision', 'mf.maass.mwf.dimension',
'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke',
'mf.maass.mwf.atkinlehner']
titles = ['Level', 'Weight', 'Char',
'Eigenvalue', 'Symmetry',
'Precision', 'Mult.',
'Coeff.', 'Fricke', 'Atkin-Lehner']
for i in range(10):
evs['table']['colheads'].append((knowls[i], titles[i]))
if 'limit' in search:
search.pop('limit')
if 'skip' in search:
search.pop('skip')
evs['totalrecords'] = DB.count(search, filtered=False)
evs['totalrecords_filtered'] = DB.count(search, filtered=True)
return evs
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)
def evs_table(search, twodarray=False):
DB = connect_db()
indices = DB.find_Maass_form_id(search)
table = []
nrows = 0
for fid in indices:
f = WebMaassForm(DB, fid, get_coeffs=False)
row = {}
R = f.R
N = f.level
k = f.weight
if R is None or N is None or k is None:
continue
row['R'] = R
row['N'] = N
if k == 0 or k == 1:
row['k'] = int(k)
else:
row['k'] = k
# j = f.get('Character',0)
## Now get the COnrey number.
## First the character
if k == 0:
# s+=url_for('characters.render_Dirichletwebpage',modulus=level,number=ch)
row['ch'] = f.the_character() # conrey_character_name(N,chi)
else:
row['ch'] = "eta"
st = f.symmetry
if st == 1:
st = "odd"
elif st == 0:
st = "even"
else:
st = "n/a"
row['symmetry'] = st
er = f.error
if er > 0:
er = "{0:1.0e}".format(er)
else:
er = "unknown"
row['err'] = er
dim = f.dim
if dim is None:
dim = 1 # "undefined"
row['dim'] = dim
numc = f.num_coeff
row['numc'] = numc
cev = f.cusp_evs
row['fricke'] = 'n/a'
row['cuspevs'] = 'n/a'
if row['k'] == 0 and isinstance(cev, list):
if len(cev) > 1:
fricke = cev[1]
row['fricke'] = fricke
row['cuspevs'] = cev
url = url_for('mwf.render_one_maass_waveform', maass_id=f._maassid)
row['url'] = url
nrows += 1
if twodarray:
s = '<a href="{0}">{1}</a>'.format(row['url'], row['R'])
rowr = [
row['N'], row['k'], row['ch'], s, row['symmetry'], row['err'],
row['dim'], row['numc'], row['fricke'], row['cuspevs']
]
table.append(rowr)
else:
# row=row.values()
table.append(row)
mwf_logger.debug("nrows:".format(nrows))
evs = {'table': {}}
evs['table']['data'] = table
evs['table']['nrows'] = nrows
evs['table']['ncols'] = 10
evs['table']['colheads'] = []
knowls = [
'mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character',
'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry',
'mf.maass.mwf.precision', 'mf.maass.mwf.dimension',
'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke',
'mf.maass.mwf.atkinlehner'
]
titles = [
'Level', 'Weight', 'Char', 'Eigenvalue', 'Symmetry', 'Precision',
'Mult.', 'Coeff.', 'Fricke', 'Atkin-Lehner'
]
for i in range(10):
evs['table']['colheads'].append((knowls[i], titles[i]))
if 'limit' in search:
search.pop('limit')
if 'skip' in search:
search.pop('skip')
evs['totalrecords'] = DB.count(search)
return evs
def evs_table2(search, twodarray=False):
r"""
Returns an object containing the results of a search for Maass forms.
"""
DB = connect_db()
table = []
nrows = 0
fs = DB.get_Maass_forms(search)
mwf_logger.debug("numrec:{0}".format(len(fs)))
for f in fs: # indices:
row = {}
R = f.get('Eigenvalue', None)
N = f.get('Level', None)
k = f.get('Weight', None)
if R is None or N is None or k is None:
continue
row['R'] = R
row['N'] = N
if k == 0 or k == 1:
row['k'] = int(k)
else:
row['k'] = k
##
chi = f.get('Character', 0)
conrey = f.get('Conrey', 0)
if conrey == 0: # we need to change to conrey's notation
chi = DB.getDircharConrey(N, chi)
## Now get the COnrey number.
## First the character
if k == 0:
url = url_for('characters.render_Dirichletwebpage',
modulus=N,
number=chi)
s = "<a href={0}>{1}</a>".format(url, chi)
row['ch'] = s
else:
row['ch'] = "eta"
st = f.get('Symmetry', -1)
if st == 1:
st = "odd"
elif st == 0:
st = "even"
else:
st = "n/a"
row['symmetry'] = st
er = f.get('Error', 0)
if er > 0:
er = "{0:1.0e}".format(er)
else:
er = "unknown"
row['err'] = er
dim = f.get('Dim', 0)
if dim is None:
dim = 1 # "undefined"
row['dim'] = dim
numc = f.get('Numc', 0)
row['numc'] = numc
cev = f.get('Cusp_evs', [])
row['fricke'] = 'n/a'
row['cuspevs'] = 'n/a'
if row['k'] == 0 and isinstance(cev, list):
if len(cev) > 1:
fricke = cev[1]
row['fricke'] = fricke
s = '{0}'.format(cev[0])
for j in range(1, len(cev)):
s += ",{0}".format(cev[j])
elif len(cev) == 1:
s = str(cev[0])
elif len(cev) == 0:
s = 'n/a'
row['cuspevs'] = s
url = url_for('mwf.render_one_maass_waveform', maass_id=f.get('_id'))
row['url'] = url
nrows += 1
if twodarray:
s = '<a href="{0}">{1}</a>'.format(row['url'], row['R'])
rowr = [
row['N'], row['k'], row['ch'], s, row['symmetry'], row['err'],
row['dim'], row['numc'], row['fricke'], row['cuspevs']
]
table.append(rowr)
else:
# row=row.values()
table.append(row)
mwf_logger.debug("nrows:".format(nrows))
evs = {'table': {}}
evs['table']['data'] = table
evs['table']['nrows'] = nrows
evs['table']['ncols'] = 10
evs['table']['colheads'] = []
knowls = [
'mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character',
'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry',
'mf.maass.mwf.precision', 'mf.maass.mwf.dimension',
'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke',
'mf.maass.mwf.atkinlehner'
]
titles = [
'Level', 'Weight', 'Char', 'Eigenvalue', 'Symmetry', 'Precision',
'Mult.', 'Coeff.', 'Fricke', 'Atkin-Lehner'
]
for i in range(10):
evs['table']['colheads'].append((knowls[i], titles[i]))
if 'limit' in search:
search.pop('limit')
if 'skip' in search:
search.pop('skip')
evs['totalrecords'] = DB.count(search, filtered=False)
evs['totalrecords_filtered'] = DB.count(search, filtered=True)
return evs
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)
