def artin_representation_search(info, query):
query['Hide'] = 0
info['sign_code'] = 0
parse_primes(info,
query,
"unramified",
name="Unramified primes",
qfield="BadPrimes",
mode="complement")
parse_primes(info,
query,
"ramified",
name="Ramified primes",
qfield="BadPrimes",
mode="append")
parse_element_of(info, query, "root_number", qfield="GalConjSigns")
parse_restricted(info,
query,
"frobenius_schur_indicator",
qfield="Indicator",
allowed=[1, 0, -1],
process=int)
parse_container(info,
query,
'container',
qfield='Container',
name="Smallest permutation representation")
parse_galgrp(info, query, "group", name="Group", qfield=("Galn", "Galt"))
parse_ints(info, query, 'dimension', qfield='Dim')
parse_ints(info, query, 'conductor', qfield='Conductor')
def abelian_variety_search(info, query):
parse_ints(info,query,'q',name='base field')
parse_ints(info,query,'g',name='dimension')
parse_bool(info,query,'simple',qfield='is_simp')
parse_bool(info,query,'primitive',qfield='is_prim')
parse_bool_unknown(info, query, 'jacobian', qfield='is_jac')
parse_bool_unknown(info, query, 'polarizable', qfield='is_pp')
parse_ints(info,query,'p_rank')
parse_ints(info,query,'ang_rank')
parse_newton_polygon(info,query,'newton_polygon',qfield='slps')
parse_string_start(info,query,'initial_coefficients',qfield='poly_str',initial_segment=["1"])
parse_string_start(info,query,'abvar_point_count',qfield='A_cnts_str')
parse_string_start(info,query,'curve_point_count',qfield='C_cnts_str',first_field='pt_cnt')
if info.get('simple_quantifier') == 'contained':
parse_subset(info,query,'simple_factors',qfield='simple_distinct',mode='subsets')
elif info.get('simple_quantifier') == 'exactly':
parse_subset(info,query,'simple_factors',qfield='simple_distinct',mode='exact')
elif info.get('simple_quantifier') == 'include':
parse_submultiset(info,query,'simple_factors',mode='append')
for n in range(1,6):
parse_ints(info,query,'dim%s_factors'%n)
for n in range(1,4):
parse_ints(info,query,'dim%s_distinct'%n)
parse_nf_string(info,query,'number_field',qfield='nf')
parse_galgrp(info,query,qfield=('galois_n','galois_t'))
def artin_representation_search(**args):
info = to_dict(args)
if 'natural' in info:
label = info['natural']
# test if it is ok
try:
label = parse_artin_label(label)
except ValueError as err:
flash(Markup("Error: %s" % (err)), "error")
bread = get_bread([('Search results','')])
return search_input_error({'err':''}, bread)
return render_artin_representation_webpage(label)
title = 'Artin representation search results'
bread = [('Artin representation', url_for(".index")), ('Search results', ' ')]
sign_code = 0
query = {'Hide': 0}
try:
parse_primes(info,query,"unramified",name="Unramified primes",
qfield="BadPrimes",mode="complement",to_string=True)
parse_primes(info,query,"ramified",name="Ramified primes",
qfield="BadPrimes",mode="append",to_string=True)
parse_restricted(info,query,"root_number",qfield="GaloisConjugates.Sign",
allowed=[1,-1],process=int)
parse_restricted(info,query,"frobenius_schur_indicator",qfield="Indicator",
allowed=[1,0,-1],process=int)
parse_galgrp(info,query,"group",name="Group",qfield="Galois_nt",use_bson=False)
parse_ints(info,query,'dimension',qfield='Dim')
parse_ints(info,query,'conductor',qfield='Conductor_key', parse_singleton=make_cond_key)
#parse_paired_fields(info,query,field1='conductor',qfield1='Conductor_key',parse1=parse_ints,kwds1={'parse_singleton':make_cond_key},
#field2='dimension',qfield2='Dim', parse2=parse_ints)
except ValueError:
return search_input_error(info, bread)
count = parse_count(info,10)
start = parse_start(info)
data = ArtinRepresentation.collection().find(query).sort([("Dim", ASC), ("Conductor_key", ASC)])
nres = data.count()
data = data.skip(start).limit(count)
if(start >= nres):
start -= (1 + (start - nres) / count) * count
if(start < 0):
start = 0
if nres == 1:
report = 'unique match'
else:
if nres > count or start != 0:
report = 'displaying matches %s-%s of %s' % (start + 1, min(nres, start + count), nres)
else:
report = 'displaying all %s matches' % nres
if nres == 0:
report = 'no matches'
initfunc = ArtinRepresentation
return render_template("artin-representation-search.html", req=info, data=data, title=title, bread=bread, query=query, start=start, report=report, nres=nres, initfunc=initfunc, sign_code=sign_code)
def local_field_search(info,query):
parse_galgrp(info,query,'gal',qfield=('n','galT'))
parse_ints(info,query,'p',name='Prime p')
parse_ints(info,query,'n',name='Degree')
parse_ints(info,query,'c',name='Discriminant exponent c')
parse_ints(info,query,'e',name='Ramification index e')
parse_rats(info,query,'topslope',qfield='top_slope',name='Top slope', process=ratproc)
info['group_display'] = group_display_short
info['display_poly'] = format_coeffs
info['slopedisp'] = show_slope_content
def local_field_search(**args):
info = to_dict(args)
bread = get_bread([("Search results", ' ')])
C = base.getDBConnection()
query = {}
if 'jump_to' in info:
return render_field_webpage({'label': info['jump_to']})
try:
parse_galgrp(info, query, 'gal', use_bson=False)
parse_ints(info, query, 'p', name='Prime p')
parse_ints(info, query, 'n', name='Degree')
parse_ints(info, query, 'c', name='Discriminant exponent c')
parse_ints(info, query, 'e', name='Ramification index e')
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
# logger.debug(query)
res = C.localfields.fields.find(query).sort([('p', pymongo.ASCENDING),
('n', pymongo.ASCENDING),
('c', pymongo.ASCENDING),
('label', pymongo.ASCENDING)])
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['group_display'] = group_display_shortC(C)
info['display_poly'] = format_coeffs
info['slopedisp'] = show_slope_content
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
return render_template("lf-search.html",
info=info,
title="Local Number Field Search Result",
bread=bread,
credit=LF_credit)
def abelian_variety_search(info, query):
parse_ints(info,query,'q',name='base field')
parse_ints(info,query,'g',name='dimension')
if 'simple' in info:
if info['simple'] == 'yes':
query['is_simp'] = True
elif info['simple'] == 'no':
query['is_simp'] = False
if 'primitive' in info:
if info['primitive'] == 'yes':
query['is_prim'] = True
elif info['primitive'] == 'no':
query['is_prim'] = False
if 'jacobian' in info:
jac = info['jacobian']
if jac == 'yes':
query['is_jac'] = 1
elif jac == 'not_no':
query['is_jac'] = {'$gt' : -1}
elif jac == 'not_yes':
query['is_jac'] = {'$lt' : 1}
elif jac == 'no':
query['is_jac'] = -1
if 'polarizable' in info:
pol = info['polarizable']
if pol == 'yes':
query['is_pp'] = 1
elif pol == 'not_no':
query['is_pp'] = {'$gt' : -1}
elif pol == 'not_yes':
query['is_pp'] = {'$lt' : 1}
elif pol == 'no':
query['is_pp'] = -1
parse_ints(info,query,'p_rank')
parse_ints(info,query,'ang_rank')
parse_newton_polygon(info,query,'newton_polygon',qfield='slps')
parse_string_start(info,query,'initial_coefficients',qfield='poly_str',initial_segment=["1"])
parse_string_start(info,query,'abvar_point_count',qfield='A_cnts_str')
parse_string_start(info,query,'curve_point_count',qfield='C_cnts_str',first_field='pt_cnt')
if info.get('simple_quantifier') == 'contained':
parse_subset(info,query,'simple_factors',qfield='simple_distinct',mode='subsets')
elif info.get('simple_quantifier') == 'exactly':
parse_subset(info,query,'simple_factors',qfield='simple_distinct',mode='exact')
elif info.get('simple_quantifier') == 'include':
parse_submultiset(info,query,'simple_factors',mode='append')
for n in range(1,6):
parse_ints(info,query,'dim%s_factors'%n)
for n in range(1,4):
parse_ints(info,query,'dim%s_distinct'%n)
parse_nf_string(info,query,'number_field',qfield='nf')
parse_galgrp(info,query,qfield=('galois_n','galois_t'))
def artin_representation_search(info, query):
query['Hide'] = 0
info['sign_code'] = 0
parse_primes(info,query,"unramified",name="Unramified primes",
qfield="BadPrimes",mode="complement")
parse_primes(info,query,"ramified",name="Ramified primes",
qfield="BadPrimes",mode="append")
parse_element_of(info,query,"root_number",qfield="GalConjSigns")
parse_restricted(info,query,"frobenius_schur_indicator",qfield="Indicator",
allowed=[1,0,-1],process=int)
parse_container(info,query, 'container',qfield='Container', name="Smallest permutation representation")
parse_galgrp(info,query,"group",name="Group",qfield=("Galn","Galt"))
parse_ints(info,query,'dimension',qfield='Dim')
parse_ints(info,query,'conductor',qfield='Conductor')
def local_field_search(**args):
info = to_dict(args)
bread = get_bread([("Search results", " ")])
C = base.getDBConnection()
query = {}
if info.get("jump_to"):
return redirect(url_for(".by_label", label=info["jump_to"]), 301)
try:
parse_galgrp(info, query, "gal", use_bson=False)
parse_ints(info, query, "p", name="Prime p")
parse_ints(info, query, "n", name="Degree")
parse_ints(info, query, "c", name="Discriminant exponent c")
parse_ints(info, query, "e", name="Ramification index e")
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
# logger.debug(query)
res = C.localfields.fields.find(query).sort(
[("p", pymongo.ASCENDING), ("n", pymongo.ASCENDING), ("c", pymongo.ASCENDING), ("label", pymongo.ASCENDING)]
)
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["group_display"] = group_display_shortC(C)
info["display_poly"] = format_coeffs
info["slopedisp"] = show_slope_content
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
return render_template(
"lf-search.html", info=info, title="Local Number Field Search Result", bread=bread, credit=LF_credit
)
def higher_genus_w_automorphisms_search(**args):
info = to_dict(args)
bread = get_bread([("Search results", url_for('.search'))])
C = base.getDBConnection()
query = {}
if 'jump_to' in info:
return render_hgcwa_webpage({'label': info['jump_to']})
try:
parse_galgrp(info, query, 'group')
parse_ints(info, query, 'genus', name='Genus')
parse_list(info, query, 'signature', name='Signature')
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
res = C.curve_automorphisms.families.find(query).sort([
('g', pymongo.ASCENDING), ('label', pymongo.ASCENDING)
])
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['group_display'] = group_display_shortC(C)
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
return render_template(
"hgcwa-search.html",
info=info,
title="Higher Genus Curves with Automorphisms Search Result",
bread=bread,
credit=HGCwA_credit)
def number_field_search(info, query):
parse_ints(info, query, 'degree')
parse_galgrp(info, query, qfield=('degree', 'galt'))
parse_bracketed_posints(info,
query,
'signature',
qfield=('degree', 'r2'),
exactlength=2,
extractor=lambda L: (L[0] + 2 * L[1], L[1]))
parse_signed_ints(info,
query,
'discriminant',
qfield=('disc_sign', 'disc_abs'))
parse_ints(info, query, 'class_number')
parse_bracketed_posints(info,
query,
'class_group',
check_divisibility='increasing',
process=int)
parse_primes(info,
query,
'ur_primes',
name='Unramified primes',
qfield='ramps',
mode='complement')
# modes are now contained (in), exactly, include
if 'ram_quantifier' in info and str(info['ram_quantifier']) == 'include':
mode = 'append'
elif 'ram_quantifier' in info and str(
info['ram_quantifier']) == 'contained':
mode = 'subsets'
else:
mode = 'exact'
parse_primes(info,
query,
'ram_primes',
name='Ramified primes',
qfield='ramps',
mode=mode,
radical='disc_rad')
## This seems not to be used
#if 'lucky' in info:
# label = db.nf_fields.lucky(query, 0)
# if label:
# return redirect(url_for(".by_label", label=clean_input(label)))
info['wnf'] = WebNumberField.from_data
def local_field_search(**args):
info = to_dict(args)
bread = get_bread([("Search results", url_for('.search'))])
C = base.getDBConnection()
query = {}
if 'jump_to' in info:
return render_field_webpage({'label': info['jump_to']})
try:
parse_galgrp(info,query,'gal', use_bson=False)
parse_ints(info,query,'p',name='Prime p')
parse_ints(info,query,'n',name='Degree')
parse_ints(info,query,'c',name='Discriminant exponent c')
parse_ints(info,query,'e',name='Ramification index e')
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
# logger.debug(query)
res = C.localfields.fields.find(query).sort([('p', pymongo.ASCENDING), (
'n', pymongo.ASCENDING), ('c', pymongo.ASCENDING), ('label', pymongo.ASCENDING)])
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['group_display'] = group_display_shortC(C)
info['display_poly'] = format_coeffs
info['slopedisp'] = show_slope_content
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
return render_template("lf-search.html", info=info, title="Local Number Field Search Result", bread=bread, credit=LF_credit)
def higher_genus_w_automorphisms_search(**args):
info = to_dict(args)
bread = get_bread([("Search results", url_for('.search'))])
C = base.getDBConnection()
query = {}
if 'jump_to' in info:
return render_hgcwa_webpage({'label': info['jump_to']})
try:
parse_galgrp(info,query,'group')
parse_ints(info,query,'genus',name='Genus')
parse_list(info,query,'signature',name='Signature')
except ValueError:
return search_input_error(info, bread)
count = parse_count(info)
start = parse_start(info)
res = C.curve_automorphisms.families.find(query).sort([('g', pymongo.ASCENDING), ('label', pymongo.ASCENDING)])
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['group_display'] = group_display_shortC(C)
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
return render_template("hgcwa-search.html", info=info, title="Higher Genus Curves with Automorphisms Search Result", bread=bread, credit=HGCwA_credit)
def abelian_variety_search(info, query):
parse_ints(info, query, 'q', name='base field')
parse_ints(info, query, 'g', name='dimension')
parse_bool(info, query, 'simple', qfield='is_simp')
parse_bool(info, query, 'primitive', qfield='is_prim')
parse_bool_unknown(info, query, 'jacobian', qfield='is_jac')
parse_bool_unknown(info, query, 'polarizable', qfield='is_pp')
parse_ints(info, query, 'p_rank')
parse_ints(info, query, 'ang_rank')
parse_newton_polygon(info, query, 'newton_polygon', qfield='slps')
parse_string_start(info,
query,
'initial_coefficients',
qfield='poly_str',
initial_segment=["1"])
parse_string_start(info, query, 'abvar_point_count', qfield='A_cnts_str')
parse_string_start(info,
query,
'curve_point_count',
qfield='C_cnts_str',
first_field='pt_cnt')
if info.get('simple_quantifier') == 'contained':
parse_subset(info,
query,
'simple_factors',
qfield='simple_distinct',
mode='subsets')
elif info.get('simple_quantifier') == 'exactly':
parse_subset(info,
query,
'simple_factors',
qfield='simple_distinct',
mode='exact')
elif info.get('simple_quantifier') == 'include':
parse_submultiset(info, query, 'simple_factors', mode='append')
for n in range(1, 6):
parse_ints(info, query, 'dim%s_factors' % n)
for n in range(1, 4):
parse_ints(info, query, 'dim%s_distinct' % n)
parse_nf_string(info, query, 'number_field', qfield='nf')
parse_galgrp(info, query, qfield=('galois_n', 'galois_t'))
def number_field_search(info, query):
parse_ints(info,query,'degree')
parse_galgrp(info,query, qfield=('degree', 'galt'))
parse_bracketed_posints(info,query,'signature',qfield=('degree','r2'),exactlength=2,extractor=lambda L: (L[0]+2*L[1],L[1]))
parse_signed_ints(info,query,'discriminant',qfield=('disc_sign','disc_abs'))
parse_ints(info,query,'class_number')
parse_bracketed_posints(info,query,'class_group',check_divisibility='increasing',process=int)
parse_primes(info,query,'ur_primes',name='Unramified primes',
qfield='ramps',mode='complement')
# modes are now contained (in), exactly, include
if 'ram_quantifier' in info and str(info['ram_quantifier']) == 'include':
mode='append'
elif 'ram_quantifier' in info and str(info['ram_quantifier']) == 'contained':
mode='subsets'
else:
mode='exact'
parse_primes(info,query,'ram_primes',name='Ramified primes',
qfield='ramps',mode=mode,radical='disc_rad')
## This seems not to be used
#if 'lucky' in info:
# label = db.nf_fields.lucky(query, 0)
# if label:
# return redirect(url_for(".by_label", label=clean_input(label)))
info['wnf'] = WebNumberField.from_data
def abelian_variety_search(**args):
info = to_dict(args)
if 'download' in info and info['download'] != 0:
return download_search(info)
bread = args.get('bread', get_bread(('Search Results', ' ')))
if 'jump' in info:
return by_label(info.get('label',''))
query = {}
try:
parse_ints(info,query,'q',name='base field')
parse_ints(info,query,'g',name='dimension')
if 'simple' in info:
if info['simple'] == 'yes':
query['is_simp'] = True
elif info['simple'] == 'no':
query['is_simp'] = False
if 'primitive' in info:
if info['primitive'] == 'yes':
query['is_prim'] = True
elif info['primitive'] == 'no':
query['is_prim'] = False
if 'jacobian' in info:
jac = info['jacobian']
if jac == 'yes':
query['is_jac'] = 1
elif jac == 'not_no':
query['is_jac'] = {'$gt' : -1}
elif jac == 'not_yes':
query['is_jac'] = {'$lt' : 1}
elif jac == 'no':
query['is_jac'] = -1
if 'polarizable' in info:
pol = info['polarizable']
if pol == 'yes':
query['is_pp'] = 1
elif pol == 'not_no':
query['is_pp'] = {'$gt' : -1}
elif pol == 'not_yes':
query['is_pp'] = {'$lt' : 1}
elif pol == 'no':
query['is_pp'] = -1
parse_ints(info,query,'p_rank')
parse_ints(info,query,'ang_rank')
parse_newton_polygon(info,query,'newton_polygon',qfield='slps') # TODO
parse_string_start(info,query,'initial_coefficients',qfield='poly',initial_segment=["1"])
parse_string_start(info,query,'abvar_point_count',qfield='A_cnts')
parse_string_start(info,query,'curve_point_count',qfield='C_cnts',first_field='pt_cnt')
parse_abvar_decomp(info,query,'decomposition',qfield='decomp',av_stats=AbvarFqStats())
parse_nf_string(info,query,'number_field',qfield='nf')
parse_galgrp(info,query,qfield='gal')
except ValueError:
return search_input_error(info, bread)
info['query'] = query
count = parse_count(info, 50)
start = parse_start(info)
cursor = db().find(query)
nres = cursor.count()
if start >= nres:
start -= (1 + (start - nres) / count) * count
if start < 0:
start = 0
res = cursor.sort([('sort', ASCENDING)]).skip(start).limit(count)
res = list(res)
info['abvars'] = [AbvarFq_isoclass(x) for x in res]
info['number'] = nres
info['start'] = start
info['count'] = count
info['more'] = int(start + count < nres)
if nres == 1:
info['report'] = 'unique match'
elif nres == 0:
info['report'] = 'no matches'
elif 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
t = 'Abelian Variety search results'
return render_template("abvarfq-search-results.html", info=info, credit=abvarfq_credit, bread=bread, title=t)
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)
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)
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 abelian_variety_search(**args):
info = to_dict(args)
if 'download' in info and info['download'] != 0:
return download_search(info)
bread = args.get('bread', get_bread(('Search Results', ' ')))
if 'jump' in info:
return by_label(info.get('label',''))
query = {}
try:
parse_ints(info,query,'q',name='base field')
parse_ints(info,query,'g',name='dimension')
if 'simple' in info:
if info['simple'] == 'yes':
query['is_simp'] = True
elif info['simple'] == 'no':
query['is_simp'] = False
if 'primitive' in info:
if info['primitive'] == 'yes':
query['is_prim'] = True
elif info['primitive'] == 'no':
query['is_prim'] = False
if 'jacobian' in info:
jac = info['jacobian']
if jac == 'yes':
query['is_jac'] = 1
elif jac == 'not_no':
query['is_jac'] = {'$gt' : -1}
elif jac == 'not_yes':
query['is_jac'] = {'$lt' : 1}
elif jac == 'no':
query['is_jac'] = -1
if 'polarizable' in info:
pol = info['polarizable']
if pol == 'yes':
query['is_pp'] = 1
elif pol == 'not_no':
query['is_pp'] = {'$gt' : -1}
elif pol == 'not_yes':
query['is_pp'] = {'$lt' : 1}
elif pol == 'no':
query['is_pp'] = -1
parse_ints(info,query,'p_rank')
parse_ints(info,query,'ang_rank')
parse_newton_polygon(info,query,'newton_polygon',qfield='slps') # TODO
parse_string_start(info,query,'initial_coefficients',qfield='poly',initial_segment=["1"])
parse_string_start(info,query,'abvar_point_count',qfield='A_cnts')
parse_string_start(info,query,'curve_point_count',qfield='C_cnts',first_field='pt_cnt')
parse_abvar_decomp(info,query,'decomposition',qfield='decomp',av_stats=AbvarFqStats())
parse_nf_string(info,query,'number_field',qfield='nf')
parse_galgrp(info,query,qfield='gal')
except ValueError:
return search_input_error(info, bread)
info['query'] = query
count = parse_count(info, 50)
start = parse_start(info)
cursor = db().find(query)
nres = cursor.count()
if start >= nres:
start -= (1 + (start - nres) / count) * count
if start < 0:
start = 0
res = cursor.sort([('sort', ASCENDING)]).skip(start).limit(count)
res = list(res)
info['abvars'] = [AbvarFq_isoclass(x) for x in res]
info['number'] = nres
info['start'] = start
info['count'] = count
info['more'] = int(start + count < nres)
if nres == 1:
info['report'] = 'unique match'
elif nres == 0:
info['report'] = 'no matches'
elif 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
t = 'Abelian Variety search results'
return render_template("abvarfq-search-results.html", info=info, credit=abvarfq_credit, bread=bread, title=t)
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=query['label']))
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)
# equivalent to
# nres = res.count()
#if(start >= nres):
# start -= (1 + (start - nres) / count) * count
#if(start < 0):
# start = 0
# res = res.skip(start).limit(count)
try:
start, nres, res = search_cursor_timeout_decorator(res, start, count);
except ValueError as err:
info['err'] = err;
return search_input_error(info, bread)
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 artin_representation_search(**args):
info = to_dict(args)
if 'natural' in info:
label = info['natural']
# test if it is ok
try:
label = parse_artin_label(label)
except ValueError as err:
flash(Markup("Error: %s" % (err)), "error")
bread = get_bread([('Search results', '')])
return search_input_error({'err': ''}, bread)
return render_artin_representation_webpage(label)
title = 'Artin representation search results'
bread = [('Artin representation', url_for(".index")),
('Search results', ' ')]
sign_code = 0
query = {'Hide': 0}
try:
parse_primes(info,
query,
"unramified",
name="Unramified primes",
qfield="BadPrimes",
mode="complement",
to_string=True)
parse_primes(info,
query,
"ramified",
name="Ramified primes",
qfield="BadPrimes",
mode="append",
to_string=True)
parse_restricted(info,
query,
"root_number",
qfield="GaloisConjugates.Sign",
allowed=[1, -1],
process=int)
parse_restricted(info,
query,
"frobenius_schur_indicator",
qfield="Indicator",
allowed=[1, 0, -1],
process=int)
parse_galgrp(info,
query,
"group",
name="Group",
qfield="Galois_nt",
use_bson=False)
parse_ints(info, query, 'dimension', qfield='Dim')
parse_ints(info,
query,
'conductor',
qfield='Conductor_key',
parse_singleton=make_cond_key)
#parse_paired_fields(info,query,field1='conductor',qfield1='Conductor_key',parse1=parse_ints,kwds1={'parse_singleton':make_cond_key},
#field2='dimension',qfield2='Dim', parse2=parse_ints)
except ValueError:
return search_input_error(info, bread)
count = parse_count(info, 10)
start = parse_start(info)
data = ArtinRepresentation.collection().find(query).sort([("Dim", ASC),
("Conductor_key",
ASC)])
nres = data.count()
data = data.skip(start).limit(count)
if (start >= nres):
start -= (1 + (start - nres) / count) * count
if (start < 0):
start = 0
if nres == 1:
report = 'unique match'
else:
if nres > count or start != 0:
report = 'displaying matches %s-%s of %s' % (
start + 1, min(nres, start + count), nres)
else:
report = 'displaying all %s matches' % nres
if nres == 0:
report = 'no matches'
initfunc = ArtinRepresentation
return render_template("artin-representation-search.html",
req=info,
data=data,
title=title,
bread=bread,
query=query,
start=start,
report=report,
nres=nres,
initfunc=initfunc,
sign_code=sign_code)
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"])))
except ValueError:
query["err"] = info["err"]
return search_input_error(query, 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
)
if "ram_quantifier" in info and str(info["ram_quantifier"]) == "some":
mode = "append"
else:
mode = "exact"
parse_primes(info, query, "ram_primes", "ramified primes", "ramps", mode, to_string=True)
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", clean_input(label)))
fields = C.numberfields.fields
res = fields.find(query)
if "download" in info and info["download"] != "0":
return download_search(info, res)
res = res.sort([("degree", ASC), ("disc_abs_key", ASC), ("disc_sign", ASC)])
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 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'])))
except ValueError:
query['err'] = info['err']
return search_input_error(query, 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)
if 'ram_quantifier' in info and str(info['ram_quantifier']) == 'some':
mode = 'append'
else:
mode = 'exact'
parse_primes(info,query,'ram_primes','ramified primes','ramps',mode,to_string=True)
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", clean_input(label)))
fields = C.numberfields.fields
res = fields.find(query)
if 'download' in info and info['download'] != '0':
return download_search(info, res)
res = res.sort([('degree', ASC), ('disc_abs_key', ASC),('disc_sign', ASC)])
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 abelian_variety_search(info, query):
parse_ints(info, query, 'q', name='base field')
parse_ints(info, query, 'g', name='dimension')
if 'simple' in info:
if info['simple'] == 'yes':
query['is_simp'] = True
elif info['simple'] == 'no':
query['is_simp'] = False
if 'primitive' in info:
if info['primitive'] == 'yes':
query['is_prim'] = True
elif info['primitive'] == 'no':
query['is_prim'] = False
if 'jacobian' in info:
jac = info['jacobian']
if jac == 'yes':
query['is_jac'] = 1
elif jac == 'not_no':
query['is_jac'] = {'$gt': -1}
elif jac == 'not_yes':
query['is_jac'] = {'$lt': 1}
elif jac == 'no':
query['is_jac'] = -1
if 'polarizable' in info:
pol = info['polarizable']
if pol == 'yes':
query['is_pp'] = 1
elif pol == 'not_no':
query['is_pp'] = {'$gt': -1}
elif pol == 'not_yes':
query['is_pp'] = {'$lt': 1}
elif pol == 'no':
query['is_pp'] = -1
parse_ints(info, query, 'p_rank')
parse_ints(info, query, 'ang_rank')
parse_newton_polygon(info, query, 'newton_polygon', qfield='slps')
parse_string_start(info,
query,
'initial_coefficients',
qfield='poly_str',
initial_segment=["1"])
parse_string_start(info, query, 'abvar_point_count', qfield='A_cnts_str')
parse_string_start(info,
query,
'curve_point_count',
qfield='C_cnts_str',
first_field='pt_cnt')
if info.get('simple_quantifier') == 'contained':
parse_subset(info,
query,
'simple_factors',
qfield='simple_distinct',
mode='subsets')
elif info.get('simple_quantifier') == 'exactly':
parse_subset(info,
query,
'simple_factors',
qfield='simple_distinct',
mode='exact')
elif info.get('simple_quantifier') == 'include':
parse_submultiset(info, query, 'simple_factors', mode='append')
for n in range(1, 6):
parse_ints(info, query, 'dim%s_factors' % n)
for n in range(1, 4):
parse_ints(info, query, 'dim%s_distinct' % n)
parse_nf_string(info, query, 'number_field', qfield='nf')
parse_galgrp(info, query, qfield=('galois_n', 'galois_t'))
