Local field data - 7.1.14.26a1.15

Formats: - HTML - YAML - JSON - 2025-10-19T12:21:30.337752

• lf_fields •

  Column	Type
  associated_inertia	integer[]
  aut	smallint
  c	smallint
  canonical_filtration	text[]
  coeffs	jsonb
  ctr	integer
  ctr_family	integer
  ctr_subfamily	integer
  distinguished_residual_polynomials	text[]
  e	smallint
  eisen	text
  f	smallint
  family	text
  gal	integer
  galT	integer
  galois_degree	bigint
  galois_label	text
  gms	text
  gsm	jsonb
  hidden	text
  hw	text
  ind_of_insep	integer[]
  ind_of_insep_tmp	text[]
  inertia	jsonb
  inertia_gap	integer[]
  is_completion	boolean
  jump_set	integer[]
  label	text
  n	smallint
  new_label	text
  num	integer
  old_label	text
  p	integer
  packet	text
  packet_size	integer
  ppow_roots_of_unity	smallint
  ram_poly_vert	integer[]
  residual_polynomials	text[]
  rf	jsonb
  slopes	text
  slopes_tmp	text[]
  subfamily	text
  subfield	text[]
  subfield_mult	integer[]
  t	smallint
  top_slope	text
  u	smallint
  unram	text
  visible	text
  visible_tmp	text[]
  wild_gap	integer[]

  
  {'associated_inertia': [1, 1], 'aut': 1, 'c': 26, 'canonical_filtration': ['7.1.1.0a1.1', '7.1.2.1a1.2'], 'coeffs': [7, 147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 1], 'ctr': 15, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + 2', '2*z + 1'], 'e': 14, 'eisen': 'x^14 + 28*x^13 + 147*x + 7', 'f': 1, 'family': '7.1.14.26a', 'gal': 32, 'galT': 32, 'galois_degree': 1176, 'galois_label': '14T32', 'gms': '2.0595238095238098', 'gsm': [3161934067251385029512248098021583962879569404157158546887126772699513807144017732223358474391188118123720611417782799408277449969880336524560557379554994758744672698556507909328724619506827812613611519157550712495242500735453772762886276454393844727366823506372057311186427141549484565582919875317681433843193773094002966285523151293750811244034988186425855021045541047013939484525545049798829358432701178831444162412392587786657447124753374430232724021026173848236165552067782796, 558404219018151585295600744635429276763566881155883611917634649555981893073840733382787418476661144968162283312941863913874588855797116870416506822709073504521995463428971240626098838620873721930483827728063639233105739470585153849860571744803500839961658522892458340016655664670834755500555288756255587773900179817304593280910044213506467179375790190900535828503253911095498975996635876311506916816455344776825385269090981707046675732434235216951, 25685886469300379963099866085053466958641896715267883863992008478208120278302927535135951875659490325291364734299087998569313912659516139514714656393600138795634590747270456523132797328002205899657117847443948325879757880980990830866538387034828399187571933356794280053742004443042444584520448151114866417244239499756853779717527341324025183557272646261753773514056105914955790603849659102996652102115809772905382, -1088829998679568617663720701078238414486391490766460237400075435371451645398127190155805331470559340985748013908718035395526780802417553035684396962406225279933134835379880169568777732767592063108993130939980765868210950667228394761491286309685443841389015223828449504974840014139722306799098194382917789164210452760776288669554455394303655872044882231444818853004124174466125664, -120142479509778205225281961325193644550443785294454889398058924350698118041845629988924390881152701729963042920760960627807815369859305521944030852957034640107888813792535610948380079540021473935259439032503413608465764817769690139631236380293638910654376875381794673976810984870764656942317772244451882620920731298313203057698756851360881392927, -1371324738089295288292745527749236609799930520921756946469816647200490035935180076884114901858928148809924563318543855886722652338022163648315051303329909726042949906869677512804822066880271425921011395668685290467154201290019262138032099787558152235808276546360680098300705789810423167004220478255803355573171, 98662037711668504174055682161399263952665371505252694048380692642445773330160406832584898627744188904658102577984126189258532594071864596830307491102511455923250980783606842096276236506041346900379027108559307500449775458181592795209655380801511452321103923653519829106344518, 971202388627884682824865900868240214463861500898817038116259865493938343716018735590034439084871139688867439459391480332032239579740335113999163146613705827912279709809834574679495113221640645310078541354318814687402033079586268589886072193, 239712749155666429803760729281005470325443016198960376931115362265365606940947117745431182940642355913094559070723502885829673981967553929055454344648314231261315616558897905246736648897442486222850204057129, 41721298429324715265187295037883784930809024668239431670742664121310139320280884746598268379422706506447000531597813755125050376147698870296874127190728731206288262175751480, 1538309974049829201081936050219276099994094949606447409859462857618118081552055614281768692825108032690106650266350840226674733075039738207, -32256668007097722520539996542702325961741983621722703345684240643832187865977369972615613677019468032549, -2426729695977866342210370953224475730403640353419038631872218863058698, 0, 1], 'hidden': '[25/12]^{2}_{6}', 'hw': '$1$', 'ind_of_insep': [13, 0], 'ind_of_insep_tmp': ['13A', '0A'], 'inertia': ['t', [14, 23]], 'inertia_gap': [588, 34], 'is_completion': False, 'jump_set': [], 'label': '7.14.26.45', 'n': 14, 'new_label': '7.1.14.26a1.15', 'num': 45, 'old_label': '7.14.26.45', 'p': 7, 'packet': '7.1.14.26a1.32a', 'packet_size': 42, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 13], [7, 0], [14, 0]], 'residual_polynomials': ['z^7 + 2', '2*z + 4'], 'rf': [1, 1], 'slopes': '[25/12, 25/12]', 'slopes_tmp': ['25/12A', '25/12B'], 'subfamily': '7.1.14.26a1', 'subfield': ['7.2.1.2'], 'subfield_mult': [1], 't': 12, 'top_slope': '02.08333333325/12', 'u': 2, 'unram': 't + 4', 'visible': '[25/12]', 'visible_tmp': ['25/12A'], 'wild_gap': [49, 2]}