Number field data - 6.6.1567199192000.1

Formats: - HTML - YAML - JSON - 2024-12-12T00:52:32.464163

• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [6], 'class_number': 6, 'cm': False, 'coeffs': [-45980, 0, 4436, 0, -127, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1567199192000, 'disc_rad': 2470, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 3]]], [5, [0]], [7, [[3, 2]]], [11, [[2, 3]]], [13, [0]], [17, [[2, 3]]], [19, [0]], [23, [[3, 2]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[1, 6]]], [41, [[2, 3]]], [43, [[1, 6]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 3, 4, 3], 'galois_label': '6T2', 'galt': 2, 'grd': 107.77566217537493, 'index': 8, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.6.1567199192000.1', 'local_algs': ['2.2.2.1', '2.2.2.1', '2.2.2.1', '5.2.1.1', '5.2.1.1', '5.2.1.1', '13.3.2.2', '13.3.2.2', '19.2.1.1', '19.2.1.1', '19.2.1.1'], 'minimal_sibling': [90, -56, -1, 1], 'monogenic': -1, 'num_ram': 4, 'r2': 0, 'ramps': [2, 5, 13, 19], 'rd': 107.775662175, 'regulator': {'__RealLiteral__': 0, 'data': '30164.8780135', 'prec': 44}, 'res': {'sex': ['90,-56,-1,1', '0,1', '0,1', '0,1'], 'sib': ['90,-56,-1,1']}, 'subfield_mults': [1, 3], 'subfields': ['-95.0.1', '90.-56.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2244} a^{5} - \\frac{1}{68} a^{4} - \\frac{57}{748} a^{3} + \\frac{69}{68} a^{2} + \\frac{746}{561} a - \\frac{489}{34} \\)', '\\( \\frac{1}{2244} a^{5} + \\frac{1}{68} a^{4} - \\frac{57}{748} a^{3} - \\frac{69}{68} a^{2} + \\frac{746}{561} a + \\frac{489}{34} \\)', '\\( \\frac{1}{33} a^{5} - \\frac{35}{11} a^{3} + \\frac{1994}{33} a - 39 \\)', '\\( \\frac{81}{748} a^{5} + \\frac{145}{204} a^{4} - \\frac{7867}{748} a^{3} - \\frac{4695}{68} a^{2} + \\frac{30132}{187} a + \\frac{115309}{102} \\)', '\\( \\frac{313}{2244} a^{5} + \\frac{31}{68} a^{4} - \\frac{11109}{748} a^{3} - \\frac{3363}{68} a^{2} + \\frac{177959}{561} a + \\frac{36171}{34} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/204*a^4 - 1/2*a^3 - 23/68*a^2 - 1/2*a + 13/102', '1/4488*a^5 + 317/1496*a^3 - 1/2*a^2 + 931/2244*a - 1/2']}