def lf_formatfield(coef):
coef = string2list(coef)
thefield = WebNumberField.from_coeffs(coef)
thepoly = '$%s$' % latex(coeff_to_poly(coef))
if thefield._data is None:
return thepoly
return nf_display_knowl(thefield.get_label(), thepoly)
def make_torsion_growth(self):
if self.tor_gro is None:
self.torsion_growth_data_exists = False
return
tor_gro = self.tor_gro
self.torsion_growth_data_exists = True
self.tg = tg = {}
tg['data'] = tgextra = []
# find all base-changes of this curve in the database, if any
bcs = list(db.ec_nfcurves.search({'base_change': {'$contains': [self.lmfdb_label]}}, projection='label'))
bcfs = [lab.split("-")[0] for lab in bcs]
for F, T in tor_gro.items():
tg1 = {}
tg1['bc'] = "Not in database"
if ":" in F:
F = F.replace(":",".")
field_data = nf_display_knowl(F, field_pretty(F))
deg = int(F.split(".")[0])
bcc = [x for x,y in zip(bcs, bcfs) if y==F]
if bcc:
from lmfdb.ecnf.main import split_full_label
F, NN, I, C = split_full_label(bcc[0])
tg1['bc'] = bcc[0]
tg1['bc_url'] = url_for('ecnf.show_ecnf', nf=F, conductor_label=NN, class_label=I, number=C)
else:
field_data = web_latex_split_on_pm(coeff_to_poly(string2list(F)))
deg = F.count(",")
tg1['d'] = deg
tg1['f'] = field_data
tg1['t'] = '\(' + ' \\times '.join(['\Z/{}\Z'.format(n) for n in T.split(",")]) + '\)'
tg1['m'] = 0
tgextra.append(tg1)
tgextra.sort(key = lambda x: x['d'])
tg['n'] = len(tgextra)
lastd = 1
for tg1 in tgextra:
d = tg1['d']
if d!=lastd:
tg1['m'] = len([x for x in tgextra if x['d']==d])
lastd = d
## Hard-code this for now. While something like
## max(db.ec_curves.search({},projection='tor_degs')) might
## work, since 'tor_degs' is in the extra table it is very
## slow. Note that the *only* place where this number is used
## is in the ec-curve template where it says "The number
## fields ... of degree up to {{data.tg.maxd}} such that...".
tg['maxd'] = 7
def make_torsion_growth(self):
if self.tor_gro is None:
self.torsion_growth_data_exists = False
return
tor_gro = self.tor_gro
self.torsion_growth_data_exists = True
self.tg = tg = {}
tg['data'] = tgextra = []
# find all base-changes of this curve in the database, if any
bcs = list(db.ec_nfcurves.search({'base_change': {'$contains': [self.lmfdb_label]}}, projection='label'))
bcfs = [lab.split("-")[0] for lab in bcs]
for F, T in tor_gro.items():
tg1 = {}
tg1['bc'] = "Not in database"
if ":" in F:
F = F.replace(":",".")
field_data = nf_display_knowl(F, field_pretty(F))
deg = int(F.split(".")[0])
bcc = [x for x,y in zip(bcs, bcfs) if y==F]
if bcc:
from lmfdb.ecnf.main import split_full_label
F, NN, I, C = split_full_label(bcc[0])
tg1['bc'] = bcc[0]
tg1['bc_url'] = url_for('ecnf.show_ecnf', nf=F, conductor_label=NN, class_label=I, number=C)
else:
field_data = web_latex_split_on_pm(coeff_to_poly(string2list(F)))
deg = F.count(",")
tg1['d'] = deg
tg1['f'] = field_data
tg1['t'] = '\(' + ' \\times '.join(['\Z/{}\Z'.format(n) for n in T.split(",")]) + '\)'
tg1['m'] = 0
tgextra.append(tg1)
tgextra.sort(key = lambda x: x['d'])
tg['n'] = len(tgextra)
lastd = 1
for tg1 in tgextra:
d = tg1['d']
if d!=lastd:
tg1['m'] = len([x for x in tgextra if x['d']==d])
lastd = d
## Hard code for now
#tg['maxd'] = max(db.ec_curves.stats.get_oldstat('torsion_growth')['degrees'])
tg['maxd'] = 7
def make_torsion_growth(self):
try:
tor_gro = self.tor_gro
except AttributeError: # for curves with norsion growth data
tor_gro = None
if tor_gro is None:
self.torsion_growth_data_exists = False
return
self.torsion_growth_data_exists = True
self.tg = tg = {}
tg['data'] = tgextra = []
# find all base-changes of this curve in the database, if any
bcs = list(
db.ec_nfcurves.search(
{'base_change': {
'$contains': [self.lmfdb_label]
}},
projection='label'))
bcfs = [lab.split("-")[0] for lab in bcs]
for F, T in tor_gro.items():
tg1 = {}
tg1['bc'] = "Not in database"
# mongo did not allow "." in a dict key so we changed (e.g.) '3.1.44.1' to '3:1:44:1'
# Here we change it back (but this code also works in case the fields already use ".")
F = F.replace(":", ".")
if "." in F:
field_data = nf_display_knowl(F, field_pretty(F))
deg = int(F.split(".")[0])
bcc = [x for x, y in zip(bcs, bcfs) if y == F]
if bcc:
from lmfdb.ecnf.main import split_full_label
F, NN, I, C = split_full_label(bcc[0])
tg1['bc'] = bcc[0]
tg1['bc_url'] = url_for('ecnf.show_ecnf',
nf=F,
conductor_label=NN,
class_label=I,
number=C)
else:
field_data = web_latex(coeff_to_poly(string2list(F)))
deg = F.count(",")
tg1['d'] = deg
tg1['f'] = field_data
tg1['t'] = '\(' + ' \\times '.join(
['\Z/{}\Z'.format(n) for n in T.split(",")]) + '\)'
tg1['m'] = 0
tgextra.append(tg1)
tgextra.sort(key=lambda x: x['d'])
tg['n'] = len(tgextra)
lastd = 1
for tg1 in tgextra:
d = tg1['d']
if d != lastd:
tg1['m'] = len([x for x in tgextra if x['d'] == d])
lastd = d
## Hard-code this for now. While something like
## max(db.ec_curves.search({},projection='tor_degs')) might
## work, since 'tor_degs' is in the extra table it is very
## slow. Note that the *only* place where this number is used
## is in the ec-curve template where it says "The number
## fields ... of degree up to {{data.tg.maxd}} such that...".
tg['maxd'] = 7