Number field data - 6.6.463143405393.1

Formats: - HTML - YAML - JSON - 2026-09-21T21:57:53.216415

• 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[]
  maxp	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, 2], 'class_number': 4, 'cm': False, 'coeffs': [-50829, -4287, 4171, 231, -113, -3, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 463143405393, 'disc_rad': 3009, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 4, 3], 'galois_label': '6T2', 'galt': 2, 'grd': 87.96014044037578, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.6.463143405393.1', 'local_algs': ['3.1.2.1a1.1', '3.1.2.1a1.1', '3.1.2.1a1.1', '17.2.3.4a1.2', '59.1.2.1a1.2', '59.1.2.1a1.2', '59.1.2.1a1.2'], 'maxp': 59, 'minimal_sibling': [-29, -28, -1, 1], 'monogenic': 0, 'narrow_class_group': [2, 2, 2], 'narrow_class_number': 8, 'num_ram': 3, 'r2': 0, 'ramps': [3, 17, 59], 'rd': 87.9601404404, 'regulator': {'__RealLiteral__': 0, 'data': '6224.42929683', 'prec': 40}, 'subfield_mults': [1, 3], 'subfields': ['-44.-1.1', '-29.-28.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 5, '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, [[3, 2]]], [3, [0]], [5, [[2, 3]]], [7, [[3, 2]]], [11, [[3, 2]]], [13, [[2, 3]]], [17, [0]], [19, [[1, 6]]], [23, [[1, 6]]], [29, [[2, 3]]], [31, [[2, 3]]], [37, [[2, 3]]], [41, [[2, 3]]], [43, [[2, 3]]], [47, [[3, 2]]], [53, [[2, 3]]], [59, [0]]], 'label': '6.6.463143405393.1', 'res': {'sex': ['-29,-28,-1,1', '0,1', '0,1', '0,1'], 'sib': ['-29,-28,-1,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{9}{2603} a^{5} - \\frac{91}{2603} a^{4} - \\frac{309}{2603} a^{3} + \\frac{4733}{2603} a^{2} - \\frac{5784}{2603} a - \\frac{19829}{2603} \\)', '\\( \\frac{9}{2603} a^{5} + \\frac{46}{2603} a^{4} - \\frac{583}{2603} a^{3} - \\frac{3350}{2603} a^{2} + \\frac{2436}{2603} a + \\frac{21271}{2603} \\)', '\\( \\frac{20}{2603} a^{5} - \\frac{324}{2603} a^{4} - \\frac{1600}{2603} a^{3} + \\frac{24644}{2603} a^{2} + \\frac{29297}{2603} a - \\frac{447910}{2603} \\)', '\\( \\frac{20}{2603} a^{5} + \\frac{224}{2603} a^{4} - \\frac{2696}{2603} a^{3} - \\frac{18100}{2603} a^{2} + \\frac{72589}{2603} a + \\frac{395873}{2603} \\)', '\\( \\frac{597}{2603} a^{5} + \\frac{2138}{2603} a^{4} - \\frac{54199}{2603} a^{3} - \\frac{220390}{2603} a^{2} + \\frac{1129767}{2603} a + \\frac{4914797}{2603} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/19*a^4 - 2/19*a^3 - 2/19*a^2 + 3/19*a - 4/19', '1/2603*a^5 + 66/2603*a^4 - 765/2603*a^3 - 26/137*a^2 - 1282/2603*a + 963/2603']}