Dirichlet character data - 684.301

Formats: - HTML - YAML - JSON - 2022-08-12T06:48:13.474381

• char_dir_orbits •

  Column	Type
  char_degree	integer
  conductor	integer
  galois_orbit	integer[]
  is_minimal	boolean
  is_primitive	boolean
  is_real	boolean
  kernel_field_label	text
  kernel_field_poly	numeric[]
  kernel_field_poly_polredabs	boolean
  label	text
  modulus	integer
  orbit_index	smallint
  orbit_label	text
  order	integer
  parity	smallint
  prim_orbit_index	integer

  
  {'char_degree': 6, 'conductor': 171, 'galois_orbit': [25, 61, 157, 301, 313, 625], 'is_minimal': True, 'is_primitive': False, 'is_real': False, 'kernel_field_label': '9.9.9025761726072081.1', 'kernel_field_poly': [-7201, 9063, 1710, -4902, 228, 855, -38, -57, 0, 1], 'label': '684.bp', 'modulus': 684, 'orbit_index': 42, 'orbit_label': '684.42', 'order': 9, 'parity': 1, 'prim_orbit_index': 22}
• char_dir_values •

  Column	Type
  conrey_index	integer
  label	text
  modulus	integer
  orbit_label	text
  order	integer
  prim_label	text
  values	integer[]
  values_gens	integer[]

  
  {'conrey_index': 301, 'label': '684.301', 'modulus': 684, 'orbit_label': '684.42', 'order': 9, 'prim_label': '171.130', 'values': [[683, 0], [1, 0], [5, 2], [7, 6], [11, 0], [13, 7], [17, 2], [23, 1], [25, 4], [29, 1], [31, 0], [35, 8]], 'values_gens': [[343, 0], [533, 3], [325, 2]]}