Number field data - 6.2.530604000000.9

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• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [2, 4], 'class_number': 8, 'cm': False, 'coeffs': [2389, -1512, -155, 170, -5, -2, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 530604000000, 'disc_rad': 510, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [160, 60, 156, 60], 'galois_label': '6T14', 'galt': 14, 'grd': 145.82078143613396, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 9, 'label': '6.2.530604000000.9', 'local_algs': ['2.1.6.8a1.2', '3.3.2.3a1.2', '5.1.1.0a1.1', '5.1.5.6a1.1', '17.1.2.1a1.2', '17.2.2.2a1.2'], 'minimal_sibling': [-30, 0, -10, 5, 0, 1], 'monogenic': 0, 'narrow_class_group': [2, 2, 4], 'narrow_class_number': 16, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 5, 17], 'rd': 89.9763600344, 'regulator': {'__RealLiteral__': 0, 'data': '797.308698573', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 1, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[5, 1], [1, 1]]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [0]], [19, [[6, 1]]], [23, [[2, 3]]], [29, [[5, 1], [1, 1]]], [31, [[3, 2]]], [37, [[4, 1], [1, 2]]], [41, [[3, 2]]], [43, [[2, 3]]], [47, [[5, 1], [1, 1]]], [53, [[4, 1], [1, 2]]], [59, [[2, 2], [1, 2]]]], 'label': '6.2.530604000000.9', 'res': {'sex': ['0,1', '-30,0,-10,5,0,1'], 'sib': ['-30,0,-10,5,0,1', '-174532,580300,-718100,289900,177530,-216428,49425,20975,-8550,-370,-454,450,-50,0,-5,1', '-384,1165,-1765,1770,-1070,430,-50,-20,20,-5,1', '-472976516000,-315468320000,625002292000,-271582840000,-165518116000,318504546400,-49552196000,-256863328800,297577440000,-91245319000,-13208112600,30603140600,-18504205890,-489079800,3029781350,-540065158,87748750,36398630,-64296885,2761170,7179812,-330200,-340165,-7930,-3620,1770,1275,-50,-60,0,1', '-640000,0,6560000,0,-1169880000,0,583602500,0,671265000,0,-164316100,0,-203939000,0,-21979100,0,12015800,0,3193525,0,355850,0,30275,0,3500,0,175,0,10,0,1', '-698,-84084,28652,24570,13480,-9992,2429,-812,65,120,-29,-2,1', '180505,-283900,150640,-17220,-8175,458,905,-90,-30,0,1', '20667869,-181255530,788497195,-952053370,594522060,-187972128,-4392405,43746690,-20098165,2364250,929728,-618530,181655,-5070,-11265,4436,-400,-170,55,-10,1', '256496,-946560,2871920,-3654240,6070240,-6112720,5476980,-3705240,2371640,-1115560,499072,-180500,50520,-14500,2190,-440,80,0,15,0,1', '3191251104303376,18125053004906800,40282085167610840,50737831661087960,45283700296948020,25662089843340480,11167231551220440,4603166971296240,3475730309910200,4110057913284620,3698999096986684,1680398093819080,-181113116480240,-432406211773200,71732784656820,232200748743280,69461828111185,-33531553906560,-16221555064840,4582081883840,3733860405966,-612998944540,-472048299400,9925709120,59749895055,-5372594580,-1248106900,-152922840,42074620,-2115880,6082884,-574720,-408745,-5320,20680,-680,930,-140,-40,0,1', '356756269,2277672586,3645531492,269624272,1727188111,-395238736,2287918476,-1553222368,1287499992,-397684234,287016744,-74999744,40934277,-5764808,4525686,-935656,208116,-80518,21102,-3664,979,-284,42,-8,1', '4725315641440,-34004615766400,104389077714720,-182111593416960,207382007762720,-174814710596224,121014555108960,-69131339451680,32692480597960,-12897444867080,4189564660232,-1085788246560,191425766790,-14147391620,-2523736550,2068774394,-534414740,-82675060,64943935,-17336040,3498672,-414510,58445,23250,-13640,-880,545,60,10,-10,1', '7054826974,10163635810,-2874526005,-1962708140,2622231665,-652188718,-361871670,233897870,-46761720,-3041810,3887708,-522610,-1430,-58410,35290,-7374,670,-80,45,-10,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{5}{839} a^{5} + \\frac{22}{839} a^{4} - \\frac{52}{839} a^{3} + \\frac{685}{839} a^{2} + \\frac{1931}{839} a - \\frac{6612}{839} \\)', '\\( \\frac{97}{839} a^{5} - \\frac{580}{839} a^{4} + \\frac{1676}{839} a^{3} + \\frac{7416}{839} a^{2} - \\frac{41908}{839} a + \\frac{47246}{839} \\)', '\\( \\frac{97}{839} a^{5} - \\frac{580}{839} a^{4} + \\frac{1676}{839} a^{3} + \\frac{9933}{839} a^{2} - \\frac{51137}{839} a + \\frac{55636}{839} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/4195*a^5 + 68/839*a^4 - 237/839*a^3 + 363/839*a^2 - 57/839*a + 1698/4195']}