Dirichlet character data - 684.47

Formats: - HTML - YAML - JSON - 2022-06-26T10:43:18.808294

• 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': 684, 'galois_orbit': [47, 131, 347, 443, 479, 491], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '18.18.576595720370217842199656610425771655168.2', 'kernel_field_poly': [-1179387, 0, 23305077, 0, -46941552, 0, 29559402, 0, -8479890, 0, 1284723, 0, -107958, 0, 4959, 0, -114, 0, 1], 'label': '684.ch', 'modulus': 684, 'orbit_index': 60, 'orbit_label': '684.60', 'order': 18, 'parity': 1, 'prim_orbit_index': 60}
• 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': 47, 'label': '684.47', 'modulus': 684, 'orbit_label': '684.60', 'order': 18, 'prim_label': '684.47', 'values': [[683, 0], [1, 0], [5, 17], [7, 15], [11, 0], [13, 10], [17, 17], [23, 22], [25, 16], [29, 13], [31, 9], [35, 14]], 'values_gens': [[343, 9], [533, 3], [325, 8]]}