Number field data - 37.1.1536364616184474816386503821230570550988039548313088103224765249774013753189.1

Formats: - HTML - YAML - JSON - 2025-04-07T21:37:54.332065

• 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

  
  {'cm': False, 'coeffs': [-3, -3, 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': 1536364616184474816386503821230570550988039548313088103224765249774013753189, 'disc_rad': 30707918637019901518965568976215391294720677549441864707327, 'disc_sign': 1, 'frobs': [[2, [[19, 1], [18, 1]]], [3, [0]], [5, [[19, 1], [17, 1], [1, 1]]], [7, [[22, 1], [11, 1], [3, 1], [1, 1]]], [11, [[33, 1], [4, 1]]], [13, [[18, 1], [11, 1], [7, 1], [1, 1]]], [17, [[28, 1], [5, 1], [4, 1]]], [19, [[29, 1], [5, 1], [2, 1], [1, 1]]], [23, [[33, 1], [3, 1], [1, 1]]], [29, [[21, 1], [14, 1], [2, 1]]], [31, [[31, 1], [6, 1]]], [37, [[18, 2], [1, 1]]], [41, [[19, 1], [9, 1], [4, 1], [3, 1], [1, 2]]], [43, [[11, 2], [5, 1], [4, 2], [2, 1]]], [47, [[25, 1], [8, 1], [4, 1]]], [53, [[28, 1], [7, 1], [2, 1]]], [59, [[34, 1], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [13391759764436443828847980133430067200000000, 6881876545613172523157989790790451200000000, 6881876545613172523157989790790451200000000], 'galois_label': '37T11', 'galt': 11, 'grd': 2.946392829551214e+29, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '37.1.1536364616184474816386503821230570550988039548313088103224765249774013753189.1', 'local_algs': ['m3.37.1.36', 'm9598397.1.1.0', 'm9598397.1.1.0', 'm9598397.1.2.0', 'm9598397.1.2.0', 'm9598397.1.2.0', 'm9598397.2.1.1', 'm9598397.1.4.0', 'm9598397.1.6.0', 'm9598397.1.17.0', 'm1066425245695362865242518064082832140086192779531897.2.1.1', 'm1066425245695362865242518064082832140086192779531897.1.3.0', 'm1066425245695362865242518064082832140086192779531897.1.5.0', 'm1066425245695362865242518064082832140086192779531897.1.27.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 18, 'ramps': [3, 9598397, 1066425245695362865242518064082832140086192779531897], 'rd': 107.663232105, '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']}