Dirichlet character data - 441.25

Formats: - HTML - YAML - JSON - 2023-03-20T21:26:19.123054

• 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': 12, 'conductor': 441, 'galois_orbit': [25, 58, 88, 121, 151, 184, 247, 277, 310, 340, 403, 436], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '21.21.2972491714150324080426899160865869074720055489.1', 'kernel_field_poly': [-1148581, -2195739, 32454954, 46911963, -130714458, -293313510, -81540704, 200914581, 148886451, -21758891, -48369027, -6395823, 6429192, 1638168, -403956, -145530, 11760, 6174, -126, -126, 0, 1], 'label': '441.y', 'modulus': 441, 'orbit_index': 25, 'orbit_label': '441.25', 'order': 21, 'parity': 1, 'prim_orbit_index': 25}
• 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': 25, 'label': '441.25', 'modulus': 441, 'orbit_label': '441.25', 'order': 21, 'prim_label': '441.25', 'values': [[440, 0], [1, 0], [2, 12], [4, 3], [5, 8], [8, 15], [10, 20], [11, 19], [13, 19], [16, 6], [17, 11], [19, 7]], 'values_gens': [[344, 14], [199, 8]]}