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)
info['maass_id'] = maass_id
mwf_logger.debug("in_render_one_maass_form: info={0}".format(info))
if (info.get('download', '') == 'coefficients'
or info.get('download', '') == 'all'):
maass_id = info['maass_id']
try:
f = WebMaassForm(maass_id)
except KeyError:
flask.abort(404)
filename = str(f._maass_id) + '.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)
info['maass_id'] = maass_id
mwf_logger.debug("in_render_one_maass_form: info={0}".format(info))
if (info.get('download', '') == 'coefficients' or
info.get('download', '') == 'all'):
maass_id = info['maass_id']
try:
f = WebMaassForm(maass_id)
except KeyError:
flask.abort(404)
filename = str(f._maass_id) + '.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_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 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_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 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))
info['MF'] = WebMaassForm(DB, maass_id)
level = info['MF'].level
dim = info['MF'].dim
numc = info['MF'].num_coeff
if info['MF'].has_plot():
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)]
bread = [('Maass waveforms', url_for('.render_maass_waveforms')),
('Of Level {0}'.format(level),
url_for('.render_maass_waveforms', level=level))]
# 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.download_maassform', maass_id=maass_id)) ]
lenc = 20
mwf_logger.debug("count={0}".format(DB.count()))
ch = info['MF'].character
s = "\( \chi_{" + str(level) + "}(" + str(ch) + ",\cdot) \)"
# is it possible to get the knowls into the properties?
knowls = 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['title'] = "Maass form on \(\Gamma_{0}( %s )\) with $R=%s$" % (info['MF'].level, info['MF'].R)
info['bread'] = bread
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))
# coeffurl=url_for('mwf.render_one_maass_waveform',maass_id=maass_id,download='coefficients')
# info['downloads'] = [('Coefficients', coeffurl) ]
return render_template("mwf_one_form.html", **info)
def download_maassform(maass_id):
DB = connect_db()
MF = WebMaassForm(DB, maass_id)
response = make_response(MF.download_text())
response.headers['Content-type'] = 'text/plain'
return response
