def label(self):
if "label" in self._data.keys():
return self._data["label"]
else:
#from number_fields.number_field import poly_to_field_label
#pol = PolynomialRing(QQ, 'x')(map(str,self.polynomial()))
#label = poly_to_field_label(pol)
label = WebNumberField.from_coeffs(self._data["Polynomial"]).get_label()
if label:
self._data["label"] = label
return label
def label(self):
if "label" in self._data.keys():
return self._data["label"]
else:
#from number_fields.number_field import poly_to_field_label
#pol = PolynomialRing(QQ, 'x')(map(str,self.polynomial()))
#label = poly_to_field_label(pol)
label = WebNumberField.from_coeffs(self._data["Polynomial"]).get_label()
if label:
self._data["label"] = label
return label
def belyi_base_field(galmap):
fld_coeffs = galmap['base_field']
if fld_coeffs == [-1, 1]:
fld_coeffs = [0, 1]
F = WebNumberField.from_coeffs(fld_coeffs)
return F
def number_field_search(info):
info['learnmore'] = [
('Global number field labels', url_for(".render_labels_page")),
('Galois group labels', url_for(".render_groups_page")),
(Completename, url_for(".render_discriminants_page")),
('Quadratic imaginary class groups',
url_for(".render_class_group_data"))
]
t = 'Global Number Field search results'
bread = [('Global Number Fields', url_for(".number_field_render_webpage")),
('Search results', ' ')]
if 'natural' in info:
query = {'label_orig': info['natural']}
try:
parse_nf_string(info,
query,
'natural',
name="Label",
qfield='label')
return redirect(
url_for(".by_label", label=clean_input(query['label_orig'])))
except ValueError:
query['err'] = info['err']
return search_input_error(query, bread)
if 'algebra' in info:
fields = info['algebra'].split('_')
fields2 = [WebNumberField.from_coeffs(a) for a in fields]
for j in range(len(fields)):
if fields2[j] is None:
fields2[j] = WebNumberField.fakenf(fields[j])
t = 'Number field algebra'
info = {}
info = {'fields': fields2}
return render_template("number_field_algebra.html",
info=info,
title=t,
bread=bread)
query = {}
try:
parse_galgrp(info, query, qfield='galois')
parse_ints(info, query, 'degree')
parse_bracketed_posints(info,
query,
'signature',
split=False,
exactlength=2)
parse_signed_ints(info,
query,
'discriminant',
qfield=('disc_sign', 'disc_abs_key'),
parse_one=make_disc_key)
parse_ints(info, query, 'class_number')
parse_bracketed_posints(info,
query,
'class_group',
split=False,
check_divisibility='increasing')
parse_primes(info,
query,
'ur_primes',
name='Unramified primes',
qfield='ramps',
mode='complement',
to_string=True)
# modes are now contained (in), exactly, include
if 'ram_quantifier' in info and str(
info['ram_quantifier']) == 'include':
mode = 'append'
parse_primes(info,
query,
'ram_primes',
'ramified primes',
'ramps',
mode,
to_string=True)
elif 'ram_quantifier' in info and str(
info['ram_quantifier']) == 'contained':
parse_primes(info,
query,
'ram_primes',
'ramified primes',
'ramps_all',
'subsets',
to_string=False)
pass # build list
else:
mode = 'liststring'
parse_primes(info, query, 'ram_primes', 'ramified primes',
'ramps_all', mode)
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
# nf_logger.debug(query)
info['query'] = dict(query)
if 'lucky' in info:
one = nfdb().find_one(query)
if one:
label = one['label']
return redirect(url_for(".by_label", label=clean_input(label)))
fields = nfdb()
res = fields.find(query)
res = res.sort([('degree', ASC), ('disc_abs_key', ASC),
('disc_sign', ASC)])
if 'download' in info and info['download'] != '0':
return download_search(info, res)
nres = res.count()
res = res.skip(start).limit(count)
if (start >= nres):
start -= (1 + (start - nres) / count) * count
if (start < 0):
start = 0
info['fields'] = res
info['number'] = nres
info['start'] = start
if nres == 1:
info['report'] = 'unique match'
else:
if nres > count or start != 0:
info['report'] = 'displaying matches %s-%s of %s' % (
start + 1, min(nres, start + count), nres)
else:
info['report'] = 'displaying all %s matches' % nres
info['wnf'] = WebNumberField.from_data
return render_template("number_field_search.html",
info=info,
title=t,
bread=bread)
def belyi_base_field(galmap):
fld_coeffs = galmap['base_field']
if fld_coeffs==[-1,1]:
fld_coeffs = [0,1]
F = WebNumberField.from_coeffs(fld_coeffs)
return F
def number_field_search(**args):
info = to_dict(args)
info['learnmore'] = [('Global number field labels', url_for(".render_labels_page")), ('Galois group labels', url_for(".render_groups_page")), (Completename, url_for(".render_discriminants_page")), ('Quadratic imaginary class groups', url_for(".render_class_group_data"))]
t = 'Global Number Field search results'
bread = [('Global Number Fields', url_for(".number_field_render_webpage")), ('Search results', ' ')]
# for k in info.keys():
# nf_logger.debug(str(k) + ' ---> ' + str(info[k]))
# nf_logger.debug('******************* '+ str(info['search']))
if 'natural' in info:
query = {'label_orig': info['natural']}
try:
parse_nf_string(info,query,'natural',name="Label",qfield='label')
return redirect(url_for(".by_label", label= clean_input(query['label_orig'])))
except ValueError:
query['err'] = info['err']
return search_input_error(query, bread)
if 'algebra' in info:
fields=info['algebra'].split('_')
fields2=[WebNumberField.from_coeffs(a) for a in fields]
for j in range(len(fields)):
if fields2[j] is None:
fields2[j] = WebNumberField.fakenf(fields[j])
t = 'Number field algebra'
info = {}
info = {'fields': fields2}
return render_template("number_field_algebra.html", info=info, title=t, bread=bread)
query = {}
try:
parse_galgrp(info,query, qfield='galois')
parse_ints(info,query,'degree')
parse_bracketed_posints(info,query,'signature',split=False,exactlength=2)
parse_signed_ints(info,query,'discriminant',qfield=('disc_sign','disc_abs_key'),parse_one=make_disc_key)
parse_ints(info,query,'class_number')
parse_bracketed_posints(info,query,'class_group',split=False,check_divisibility='increasing')
parse_primes(info,query,'ur_primes',name='Unramified primes',qfield='ramps',mode='complement',to_string=True)
# modes are now contained (in), exactly, include
if 'ram_quantifier' in info and str(info['ram_quantifier']) == 'include':
mode = 'append'
parse_primes(info,query,'ram_primes','ramified primes','ramps',mode,to_string=True)
elif 'ram_quantifier' in info and str(info['ram_quantifier']) == 'contained':
parse_primes(info,query,'ram_primes','ramified primes','ramps_all','subsets',to_string=False)
pass # build list
else:
mode = 'liststring'
parse_primes(info,query,'ram_primes','ramified primes','ramps_all',mode)
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
if info.get('paging'):
try:
paging = int(info['paging'])
if paging == 0:
start = 0
except:
pass
C = base.getDBConnection()
# nf_logger.debug(query)
info['query'] = dict(query)
if 'lucky' in args:
one = C.numberfields.fields.find_one(query)
if one:
label = one['label']
return redirect(url_for(".by_label", label=clean_input(label)))
fields = C.numberfields.fields
res = fields.find(query)
res = res.sort([('degree', ASC), ('disc_abs_key', ASC),('disc_sign', ASC)])
if 'download' in info and info['download'] != '0':
return download_search(info, res)
nres = res.count()
res = res.skip(start).limit(count)
if(start >= nres):
start -= (1 + (start - nres) / count) * count
if(start < 0):
start = 0
info['fields'] = res
info['number'] = nres
info['start'] = start
if nres == 1:
info['report'] = 'unique match'
else:
if nres > count or start != 0:
info['report'] = 'displaying matches %s-%s of %s' % (start + 1, min(nres, start + count), nres)
else:
info['report'] = 'displaying all %s matches' % nres
info['wnf'] = WebNumberField.from_data
return render_template("number_field_search.html", info=info, title=t, bread=bread)