Number field data - 37.3.7740697557869671214574131076639830745737680621417026703443354018415451682760972443.1

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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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	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

  
  {'cm': False, 'coeffs': [-3, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 37, 'dirichlet_group': [], 'disc_abs': 7740697557869671214574131076639830745737680621417026703443354018415451682760972443, 'disc_rad': 154716340311953165859228993605009742012501161617811749889401672449, 'disc_sign': -1, 'frobs': [[2, [[19, 1], [18, 1]]], [3, [0]], [5, [[36, 1], [1, 1]]], [7, [[18, 1], [13, 1], [3, 1], [2, 1], [1, 1]]], [11, [[14, 2], [8, 1], [1, 1]]], [13, [[18, 1], [15, 1], [3, 1], [1, 1]]], [17, [[15, 1], [8, 1], [6, 1], [4, 1], [3, 1], [1, 1]]], [19, [[30, 1], [4, 1], [2, 1], [1, 1]]], [23, [[27, 1], [4, 1], [3, 1], [2, 1], [1, 1]]], [29, [[25, 1], [6, 1], [5, 1], [1, 1]]], [31, [[18, 1], [13, 1], [3, 2]]], [37, [[36, 1], [1, 1]]], [41, [[22, 1], [15, 1]]], [43, [0]], [47, [[29, 1], [6, 1], [2, 1]]], [53, [[37, 1]]], [59, [[27, 1], [9, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '37T11', 'galt': 11, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '37.3.7740697557869671214574131076639830745737680621417026703443354018415451682760972443.1', 'local_algs': ['3.1.0.1', 'm3.9.2.18', 'm3.9.2.18', '43.2.1.1', '43.4.0.1', '43.5.0.1', 'm43.1.26.0', 'm1907.2.1.1', 'm1907.1.3.0', 'm1907.1.5.0', 'm1907.1.27.0', 'm628920542887497981159697213468981036867441297942755778951483.1.1.0', 'm628920542887497981159697213468981036867441297942755778951483.1.1.0', 'm628920542887497981159697213468981036867441297942755778951483.1.2.0', 'm628920542887497981159697213468981036867441297942755778951483.2.1.1', 'm628920542887497981159697213468981036867441297942755778951483.1.4.0', 'm628920542887497981159697213468981036867441297942755778951483.1.7.0', 'm628920542887497981159697213468981036867441297942755778951483.1.8.0', 'm628920542887497981159697213468981036867441297942755778951483.1.12.0'], 'monogenic': 1, 'num_ram': 4, 'r2': 17, 'ramps': [3, 43, 1907, 628920542887497981159697213468981036867441297942755778951483], 'rd': 163.384281632, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36']}