Dirichlet character data - 475.396

Formats: - HTML - YAML - JSON - 2023-03-20T13:52:28.696572

• 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': 24, 'conductor': 475, 'galois_orbit': [6, 16, 36, 61, 66, 81, 111, 131, 156, 161, 196, 206, 256, 271, 291, 321, 346, 366, 386, 396, 416, 441, 446, 461], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '45.45.299215681303998835585125432825671967739342947202402933846152911778748517690473818220198154449462890625.1', 'kernel_field_poly': [22808701, -14453695, -1362119415, 7497705, 30510229725, 19849150584, -327698710405, -400149323895, 1752830160915, 3011509345140, -4703287953351, -10976198292280, 6500465979650, 23314933370325, -3532224571660, -32145143355065, -2712180162090, 30760204370920, 6845293868685, -21348397264600, -6532787291841, 11069977015865, 3923851568060, -4375338382740, -1653394093375, 1335050206763, 510052425895, -316667682495, -117428976980, 58494148730, 20318079721, -8389061335, -2637505030, 926664900, 254358990, -77748559, -17873115, 4846835, 884935, -216795, -29130, 6560, 570, -120, -5, 1], 'label': '475.bc', 'modulus': 475, 'orbit_index': 29, 'orbit_label': '475.29', 'order': 45, 'parity': 1, 'prim_orbit_index': 29}
• 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': 396, 'label': '475.396', 'modulus': 475, 'orbit_label': '475.29', 'order': 45, 'prim_label': '475.396', 'values': [[474, 0], [1, 0], [2, 37], [3, 4], [4, 29], [6, 41], [7, 15], [8, 21], [9, 8], [11, 12], [12, 33], [13, 23]], 'values_gens': [[77, 27], [401, 10]]}