Dirichlet character data - 405.233

Formats: - HTML - YAML - JSON - 2023-03-20T22:39:31.320451

• 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': 135, 'galois_orbit': [8, 17, 62, 98, 143, 152, 197, 233, 278, 287, 332, 368], 'is_minimal': False, 'is_primitive': False, 'is_real': False, 'kernel_field_label': '36.36.65028396011052373244549315269863064140390224754810333251953125.1', 'kernel_field_poly': [1, 36, -324, -849, 8721, 7398, -93024, -30897, 523260, 72931, -1790712, -107406, 4056234, 104652, -6418656, -69768, 7354710, 32319, -6249100, -10395, 3996135, 2277, -1937520, -324, 712530, 27, -197316, -1, 40455, 0, -5952, 0, 594, 0, -36, 0, 1], 'label': '405.r', 'modulus': 405, 'orbit_index': 18, 'orbit_label': '405.18', 'order': 36, 'parity': 1, 'prim_orbit_index': 17}
• 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': 233, 'label': '405.233', 'modulus': 405, 'orbit_label': '405.18', 'order': 36, 'prim_label': '135.68', 'values': [[404, 0], [1, 0], [2, 25], [4, 14], [7, 31], [8, 3], [11, 10], [13, 29], [14, 20], [16, 28], [17, 33], [19, 30]], 'values_gens': [[326, 34], [82, 27]]}