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_floats(info, query, 'rd')
parse_floats(info, query, 'regulator')
parse_ints(info,query,'class_number')
parse_ints(info,query,'num_ram')
parse_bool(info,query,'cm_field',qfield='cm')
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
info['gg_display'] = group_pretty_and_nTj
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')
parse_bool(info, query, 'Is_Even')
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_floats(info, query, 'rd')
parse_ints(info,query,'class_number')
parse_bool(info,query,'cm_field',qfield='cm')
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
info['gg_display'] = group_pretty_and_nTj
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_pretty_and_nTj
info['display_poly'] = format_coeffs
info['slopedisp'] = show_slope_content
def local_field_search(info,query):
parse_ints(info,query,'p',name='Prime p')
parse_ints(info,query,'n',name='Degree')
parse_galgrp(info,query,'gal',qfield=('galois_label','n'))
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_pretty_and_nTj
info['display_poly'] = format_coeffs
info['slopedisp'] = show_slope_content
info['search_array'] = LFSearchArray()
def number_field_search(info, query):
parse_ints(info, query, 'degree')
parse_galgrp(info, query, qfield=('galois_label', 'degree'))
parse_bracketed_posints(info,
query,
'signature',
qfield=('degree', 'r2'),
exactlength=2,
allow0=True,
extractor=lambda L: (L[0] + 2 * L[1], L[1]))
parse_signed_ints(info,
query,
'discriminant',
qfield=('disc_sign', 'disc_abs'))
parse_floats(info, query, 'rd')
parse_floats(info, query, 'regulator')
parse_ints(info, query, 'class_number')
parse_ints(info, query, 'num_ram')
parse_bool(info, query, 'cm_field', qfield='cm')
parse_bool(info, query, 'is_galois')
parse_bracketed_posints(info,
query,
'class_group',
check_divisibility='increasing',
process=int)
parse_primes(info,
query,
'ur_primes',
name='Unramified primes',
qfield='ramps',
mode='exclude')
parse_primes(info,
query,
'ram_primes',
name='Ramified primes',
qfield='ramps',
mode=info.get('ram_quantifier'),
radical='disc_rad')
parse_subfield(info,
query,
'subfield',
qfield='subfields',
name='Intermediate field')
parse_padicfields(info,
query,
'completions',
qfield='local_algs',
name='$p$-adic completions')
info['wnf'] = WebNumberField.from_data
info['gg_display'] = group_pretty_and_nTj
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 artin_representation_search(info, query):
query['Hide'] = 0
info['sign_code'] = 0
parse_primes(info,
query,
"unramified",
name="Unramified primes",
qfield="BadPrimes",
mode="exclude")
parse_primes(info,
query,
"ramified",
name="Ramified primes",
qfield="BadPrimes",
mode=info.get("ram_quantifier"))
parse_restricted(info,
query,
"root_number",
qfield="GalConjSigns",
allowed=[-1, 1],
process=lambda x: {"$contains": [int(x)]})
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=("GaloisLabel", None))
parse_ints(info, query, 'dimension', qfield='Dim')
parse_ints(info, query, 'conductor', qfield='Conductor')
parse_ints(info, query, 'num_ram', qfield='NumBadPrimes')
parse_projective_group(info, query, 'projective_image', qfield='Proj_GAP')
parse_projective_type(info,
query,
'projective_image_type',
qfield='Proj_GAP')
# Backward support for old URLs
if 'Is_Even' in info:
info['parity'] = info.pop('Is_Even')
parse_bool(info, query, 'parity', qfield='Is_Even')
def local_field_search(info, query):
parse_ints(info, query, 'p', name='Prime p')
parse_ints(info, query, 'n', name='Degree')
parse_ints(info, query, 'u', name='Unramified degree')
parse_ints(info, query, 't', name='Tame degree')
parse_galgrp(info, query, 'gal', qfield=('galois_label', 'n'))
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)
parse_inertia(info, query, qfield=('inertia_gap', 'inertia'))
parse_inertia(info,
query,
qfield=('wild_gap', 'wild_gap'),
field='wild_gap')
info['search_array'] = LFSearchArray()
def galois_group_search(info, query):
def includes_composite(s):
s = s.replace(' ', '').replace('..', '-')
for interval in s.split(','):
if '-' in interval[1:]:
ix = interval.index('-', 1)
a, b = int(interval[:ix]), int(interval[ix + 1:])
if b == a:
if a != 1 and not a.is_prime():
return True
if b > a and b > 3:
return True
else:
a = ZZ(interval)
if a != 1 and not a.is_prime():
return True
if info.get('jump', '').strip():
jump_list = [
"1T1", "2T1", "3T1", "4T1", "4T2", "5T1", "6T1", "7T1", "8T1",
"8T2", "8T3", "8T5", "9T1", "9T2", "10T1", "11T1", "12T1", "12T2",
"12T5", "13T1", "14T1", "15T1", "16T1", "16T2", "16T3", "16T4",
"16T5", "16T7", "16T8", "16T14", "17T1", "18T1", "18T2", "19T1",
"20T1", "20T2", "20T3", "21T1", "22T1", "23T1", "24T1", "24T2",
"24T3", "24T4", "24T5", "24T6", "24T8", "25T1", "25T2", "26T1",
"27T1", "27T2", "27T4", "28T1", "28T2", "28T3", "29T1", "30T1",
"31T1", "32T32", "32T33", "32T34", "32T35", "32T36", "32T37",
"32T38", "32T39", "32T40", "32T41", "32T42", "32T43", "32T44",
"32T45", "32T46", "32T47", "32T48", "32T49", "32T50", "32T51",
"33T1", "34T1", "35T1", "36T1", "36T2", "36T3", "36T4", "36T7",
"36T9", "37T1", "38T1", "39T1", "40T1", "40T2", "40T3", "40T4",
"40T5", "40T7", "40T8", "40T13", "41T1", "42T1", "43T1", "44T1",
"44T2", "44T3", "45T1", "45T2", "46T1", "47T1"
]
strip_label = info.get('jump', '').strip().upper()
# If the user entered a simple label
if re.match(r'^\d+T\d+$', strip_label):
return redirect(url_for('.by_label', label=strip_label), 301)
try:
parse_galgrp(
info,
query,
qfield=['label', 'n'],
name='a Galois group label',
field='jump',
list_ok=False,
err_msg=
"It needs to be a transitive group in nTj notation, such as 5T1, a GAP id, such as [4,1], or a <a title = 'Galois group labels' knowl='nf.galois_group.name'>group label</a>"
)
except ValueError:
return redirect(url_for('.index'))
if query.get('label', '') in jump_list:
return redirect(url_for('.by_label', label=query['label']), 301)
else: # convert this to a regular search
info['gal'] = info['jump']
parse_ints(info, query, 'n', 'degree')
parse_ints(info, query, 't')
parse_ints(info, query, 'order')
parse_ints(info, query, 'arith_equiv')
parse_ints(info, query, 'nilpotency')
parse_galgrp(info,
query,
qfield=['label', 'n'],
name='Galois group',
field='gal')
for param in ('cyc', 'solv', 'prim'):
parse_bool(info, query, param, process=int, blank=['0', 'Any'])
if info.get("parity") == "even":
query["parity"] = 1
elif info.get("parity") == "odd":
query["parity"] = -1
#parse_restricted(info,query,'parity',allowed=[1,-1],process=int,blank=['0','Any'])
if 'order' in query and 'n' not in query:
query['__sort__'] = ['order', 'gapid', 'n', 't']
degree_str = prep_ranges(info.get('n'))
info['show_subs'] = degree_str is None or (LIST_RE.match(degree_str) and
includes_composite(degree_str))
info['group_display'] = group_display_short
info['yesno'] = yesno
info['wgg'] = WebGaloisGroup.from_data