def get_nf_info(lab):
r""" extract number field label from string and pretty"""
try:
label = nf_string_to_label(lab)
pretty = field_pretty (label)
except ValueError as err:
raise ValueError(Markup("<span style='color:black'>%s</span> is not a valid number field label. %s" % (escape(lab),err)))
return label, pretty
def get_nf_info(lab):
r""" extract number field label from string and pretty"""
try:
label = nf_string_to_label(lab)
pretty = field_pretty(label)
except ValueError as err:
flash_error("%s is not a valid number field. %s", lab, err)
raise ValueError
return label, pretty
def get_nf_info(lab):
r""" extract number field label from string and pretty"""
try:
label = nf_string_to_label(lab)
pretty = field_pretty (label)
except ValueError as err:
flash(Markup("Error: <span style='color:black'>%s</span> is not a valid number field. %s" % (lab,err)), "error")
raise ValueError
return label, pretty
def by_label(label):
try:
nflabel = nf_string_to_label(clean_input(label))
if label != nflabel:
return redirect(url_for(".by_label", label=nflabel), 301)
return render_field_webpage({'label': nflabel})
except ValueError as err:
flash_error("%s is not a valid input for a <span style='color:black'>label</span>. %s", label, str(err))
return redirect(url_for(".number_field_render_webpage"))
def by_label(label):
try:
nflabel = nf_string_to_label(clean_input(label))
if label != nflabel:
return redirect(url_for(".by_label", label=nflabel), 301)
return render_field_webpage({'label': nflabel})
except ValueError as err:
flash_error("<span style='color:black'>%s</span> us not a valid input for a <span style='color:black'>label</span>. "+ str(err), label)
return redirect(url_for(".number_field_render_webpage"))
def by_label(label):
if label == "random":
#This version leaves the word 'random' in the URL:
#return render_field_webpage({'label': label})
return redirect(url_for_label(db.nf_fields.random()), 301)
try:
nflabel = nf_string_to_label(clean_input(label))
if label != nflabel:
return redirect(url_for_label(nflabel), 301)
return render_field_webpage({'label': nflabel})
except ValueError as err:
flash_error("%s is not a valid input for a <span style='color:black'>label</span>. %s", label, str(err))
return redirect(url_for(".number_field_render_webpage"))
def show_ecnf(nf, conductor_label, class_label, number):
if not FIELD_RE.fullmatch(nf):
return abort(404)
conductor_label = unquote(conductor_label)
conductor_label = convert_IQF_label(nf, conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
flash_error("%s is not a valid number field label", nf_label)
return redirect(url_for(".index"))
label = "".join(
["-".join([nf_label, conductor_label, class_label]),
str(number)])
if not LABEL_RE.fullmatch(label):
flash_error("%s is not a valid elliptic curve label", label)
return redirect(url_for(".index"))
ec = ECNF.by_label(label)
if not isinstance(ec, ECNF):
flash_error("There is no elliptic curve with label %s in the database",
label)
return redirect(url_for(".index"))
bread = [("Elliptic curves", url_for(".index"))]
title = "Elliptic curve %s over number field %s" % (
ec.short_label, ec.field.field_pretty())
bread = [("Elliptic curves", url_for(".index"))]
bread.append((ec.field.field_pretty(), ec.urls['field']))
bread.append((ec.conductor_label, ec.urls['conductor']))
bread.append((ec.iso_label, ec.urls['class']))
bread.append((ec.number, ec.urls['curve']))
code = ec.code()
code['show'] = {
'magma': '',
'pari': '',
'sage': ''
} # use default show names
info = {}
return render_template(
"ecnf-curve.html",
credit=ecnf_credit,
title=title,
bread=bread,
ec=ec,
code=code,
# properties = ec.properties,
properties=ec.properties,
friends=ec.friends,
downloads=ec.downloads,
info=info,
KNOWL_ID="ec.%s" % label,
learnmore=learnmore_list())
def download_ECNF_all(nf,conductor_label,class_label,number):
conductor_label = unquote(conductor_label)
conductor_label = convert_IQF_label(nf,conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
return search_input_error()
label = "".join(["-".join([nf_label, conductor_label, class_label]), number])
data = db.ec_nfcurves.lookup(label)
if data is None:
return search_input_error()
response = make_response(Json.dumps(data))
response.headers['Content-type'] = 'text/plain'
return response
def download_ECNF_all(nf,conductor_label,class_label,number):
conductor_label = unquote(conductor_label)
conductor_label = convert_IQF_label(nf,conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
return search_input_error()
label = "".join(["-".join([nf_label, conductor_label, class_label]), number])
data = db.ec_nfcurves.lookup(label)
if data is None:
return search_input_error()
response = make_response(Json.dumps(data))
response.headers['Content-type'] = 'text/plain'
return response
def show_ecnf(nf, conductor_label, class_label, number):
conductor_label = unquote(conductor_label)
conductor_label = convert_IQF_label(nf, conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
return search_input_error()
label = "".join(
["-".join([nf_label, conductor_label, class_label]), number])
ec = ECNF.by_label(label)
bread = [("Elliptic Curves", url_for(".index"))]
if not ec:
info = {'query': {}}
info['err'] = 'No elliptic curve in the database has label %s.' % label
return search_input_error(info, bread)
title = "Elliptic Curve %s over Number Field %s" % (
ec.short_label, ec.field.field_pretty())
bread = [("Elliptic Curves", url_for(".index"))]
bread.append((ec.field.field_pretty(), ec.urls['field']))
bread.append((ec.conductor_label, ec.urls['conductor']))
bread.append((ec.iso_label, ec.urls['class']))
bread.append((ec.number, ec.urls['curve']))
code = ec.code()
code['show'] = {
'magma': '',
'pari': '',
'sage': ''
} # use default show names
info = {}
return render_template(
"ecnf-curve.html",
credit=ecnf_credit,
title=title,
bread=bread,
ec=ec,
code=code,
# properties = ec.properties,
properties=ec.properties,
friends=ec.friends,
downloads=ec.downloads,
info=info,
KNOWL_ID="ec.%s" % label,
learnmore=learnmore_list())
def download_ECNF_all(nf,conductor_label,class_label,number):
conductor_label = unquote(conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
flash_error("%s is not a valid number field label", nf_label)
return redirect(url_for(".index"))
label = "".join(["-".join([nf_label, conductor_label, class_label]), number])
if not LABEL_RE.fullmatch(label):
flash_error("%s is not a valid elliptic curve label.", label)
return redirect(url_for(".index"))
data = db.ec_nfcurves.lookup(label)
if data is None:
flash_error("%s is not the label of an elliptic curve in the database.", label)
return redirect(url_for(".index"))
response = make_response(Json.dumps(data))
response.headers['Content-type'] = 'text/plain'
return response
def ecnf_simple_label_search(search, baseurl, label):
label_bits = label.split('/')
try:
nf = label_bits[0]
conductor_label = label_bits[1]
class_label = label_bits[2]
number = label_bits[3]
except IndexError:
search['query'] = {'label': 'dummy'}
return
conductor_label = unquote(conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
search['query'] = {'label': 'dummy'}
return
label = "".join(["-".join(nf_label, conductor_label, class_label), number])
search['query'] = {'label': label}
def show_ecnf(nf, conductor_label, class_label, number):
conductor_label = unquote(conductor_label)
conductor_label = convert_IQF_label(nf,conductor_label)
try:
nf_label = nf_string_to_label(nf)
except ValueError:
return search_input_error()
label = "".join(["-".join([nf_label, conductor_label, class_label]), number])
ec = ECNF.by_label(label)
bread = [("Elliptic Curves", url_for(".index"))]
if not ec:
info = {'query':{}}
info['err'] = 'No elliptic curve in the database has label %s.' % label
return search_input_error(info, bread)
title = "Elliptic Curve %s over Number Field %s" % (ec.short_label, ec.field.field_pretty())
bread = [("Elliptic Curves", url_for(".index"))]
bread.append((ec.field.field_pretty(), ec.urls['field']))
bread.append((ec.conductor_label, ec.urls['conductor']))
bread.append((ec.iso_label, ec.urls['class']))
bread.append((ec.number, ec.urls['curve']))
code = ec.code()
code['show'] = {'magma':'','pari':'','sage':''} # use default show names
info = {}
return render_template("ecnf-curve.html",
credit=ecnf_credit,
title=title,
bread=bread,
ec=ec,
code = code,
# properties = ec.properties,
properties2=ec.properties,
friends=ec.friends,
downloads=ec.downloads,
info=info,
KNOWL_ID="ec.%s"%label,
learnmore=learnmore_list())
def bmf_field_dim_table(**args):
argsdict = to_dict(args)
argsdict.update(to_dict(request.args))
gl_or_sl = argsdict['gl_or_sl']
field_label=argsdict['field_label']
field_label = nf_string_to_label(field_label)
start = parse_start(argsdict)
info={}
info['gl_or_sl'] = gl_or_sl
# level_flag controls whether to list all levels ('all'), only
# those with positive cuspidal dimension ('cusp'), or only those
# with positive new dimension ('new'). Default is 'cusp'.
level_flag = argsdict.get('level_flag', 'cusp')
info['level_flag'] = level_flag
count = parse_count(argsdict, 50)
pretty_field_label = field_pretty(field_label)
bread = [('Bianchi Modular Forms', url_for(".index")), (
pretty_field_label, ' ')]
properties = []
query = {}
query['field_label'] = field_label
if gl_or_sl=='gl2_dims':
info['group'] = 'GL(2)'
info['bgroup'] = '\GL(2,\mathcal{O}_K)'
else:
info['group'] = 'SL(2)'
info['bgroup'] = '\SL(2,\mathcal{O}_K)'
if level_flag == 'all':
query[gl_or_sl] = {'$exists': True}
else:
# Only get records where the cuspdial/new dimension is positive for some weight
totaldim = gl_or_sl.replace('dims', level_flag) + '_totaldim'
query[totaldim] = {'$gt': 0}
t = ' '.join(['Dimensions of Spaces of {} Bianchi Modular Forms over'.format(info['group']), pretty_field_label])
data = list(db.bmf_dims.search(query, limit=count, offset=start, info=info))
nres = info['number']
if not info['exact_count']:
info['number'] = nres = db.bmf_dims.count(query)
info['exact_count'] = True
if nres > count or start != 0:
info['report'] = 'Displaying items %s-%s of %s levels,' % (start + 1, min(nres, start + count), nres)
else:
info['report'] = 'Displaying all %s levels,' % nres
info['field'] = field_label
info['field_pretty'] = pretty_field_label
nf = WebNumberField(field_label)
info['base_galois_group'] = nf.galois_string()
info['field_degree'] = nf.degree()
info['field_disc'] = str(nf.disc())
info['field_poly'] = teXify_pol(str(nf.poly()))
weights = set()
for dat in data:
weights = weights.union(set(dat[gl_or_sl].keys()))
weights = list([int(w) for w in weights])
weights.sort()
info['weights'] = weights
info['nweights'] = len(weights)
data.sort(key = lambda x: [int(y) for y in x['level_label'].split(".")])
dims = {}
for dat in data:
dims[dat['level_label']] = d = {}
for w in weights:
sw = str(w)
if sw in dat[gl_or_sl]:
d[w] = {'d': dat[gl_or_sl][sw]['cuspidal_dim'],
'n': dat[gl_or_sl][sw]['new_dim']}
else:
d[w] = {'d': '?', 'n': '?'}
info['nlevels'] = len(data)
dimtable = [{'level_label': dat['level_label'],
'level_norm': dat['level_norm'],
'level_space': url_for(".render_bmf_space_webpage", field_label=field_label, level_label=dat['level_label']) if gl_or_sl=='gl2_dims' else "",
'dims': dims[dat['level_label']]} for dat in data]
info['dimtable'] = dimtable
return render_template("bmf-field_dim_table.html", info=info, title=t, properties=properties, bread=bread)
def bmf_field_dim_table(**args):
argsdict = to_dict(args)
argsdict.update(to_dict(request.args))
gl_or_sl = argsdict['gl_or_sl']
field_label=argsdict['field_label']
field_label = nf_string_to_label(field_label)
start = parse_start(argsdict)
info={}
info['gl_or_sl'] = gl_or_sl
# level_flag controls whether to list all levels ('all'), only
# those with positive cuspidal dimension ('cusp'), or only those
# with positive new dimension ('new'). Default is 'cusp'.
level_flag = argsdict.get('level_flag', 'cusp')
info['level_flag'] = level_flag
count = parse_count(argsdict, 50)
pretty_field_label = field_pretty(field_label)
bread = [('Bianchi Modular Forms', url_for(".index")), (
pretty_field_label, ' ')]
properties = []
if gl_or_sl=='gl2_dims':
info['group'] = 'GL(2)'
info['bgroup'] = '\GL(2,\mathcal{O}_K)'
else:
info['group'] = 'SL(2)'
info['bgroup'] = '\SL(2,\mathcal{O}_K)'
t = ' '.join(['Dimensions of Spaces of {} Bianchi Modular Forms over'.format(info['group']), pretty_field_label])
query = {}
query['field_label'] = field_label
query[gl_or_sl] = {'$exists': True}
data = db.bmf_dims.search(query, limit=count, offset=start, info=info)
nres = info['number']
if nres > count or start != 0:
info['report'] = 'Displaying items %s-%s of %s levels,' % (start + 1, min(nres, start + count), nres)
else:
info['report'] = 'Displaying all %s levels,' % nres
# convert data to a list and eliminate levels where all
# new/cuspidal dimensions are 0. (This could be done at the
# search stage, but that requires adding new fields to each
# record.)
def filter(dat, flag):
dat1 = dat[gl_or_sl]
return any([int(dat1[w][flag])>0 for w in dat1])
flag = 'cuspidal_dim' if level_flag=='cusp' else 'new_dim'
data = [dat for dat in data if level_flag == 'all' or filter(dat, flag)]
info['field'] = field_label
info['field_pretty'] = pretty_field_label
nf = WebNumberField(field_label)
info['base_galois_group'] = nf.galois_string()
info['field_degree'] = nf.degree()
info['field_disc'] = str(nf.disc())
info['field_poly'] = teXify_pol(str(nf.poly()))
weights = set()
for dat in data:
weights = weights.union(set(dat[gl_or_sl].keys()))
weights = list([int(w) for w in weights])
weights.sort()
info['weights'] = weights
info['nweights'] = len(weights)
data.sort(key = lambda x: [int(y) for y in x['level_label'].split(".")])
dims = {}
for dat in data:
dims[dat['level_label']] = d = {}
for w in weights:
sw = str(w)
if sw in dat[gl_or_sl]:
d[w] = {'d': dat[gl_or_sl][sw]['cuspidal_dim'],
'n': dat[gl_or_sl][sw]['new_dim']}
else:
d[w] = {'d': '?', 'n': '?'}
info['nlevels'] = len(data)
dimtable = [{'level_label': dat['level_label'],
'level_norm': dat['level_norm'],
'level_space': url_for(".render_bmf_space_webpage", field_label=field_label, level_label=dat['level_label']) if gl_or_sl=='gl2_dims' else "",
'dims': dims[dat['level_label']]} for dat in data]
info['dimtable'] = dimtable
return render_template("bmf-field_dim_table.html", info=info, title=t, properties=properties, bread=bread)
