Dirichlet character data - 49.23

Formats: - HTML - YAML - JSON - 2023-03-29T01:10:18.603870

• 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': 49, 'galois_orbit': [2, 4, 9, 11, 16, 23, 25, 32, 37, 39, 44, 46], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '21.21.129934811447123020117172145698449.1', 'kernel_field_poly': [1, 14, -49, -371, 196, 2072, -294, -5147, 210, 7007, -77, -5733, 14, 2940, -1, -952, 0, 189, 0, -21, 0, 1], 'label': '49.g', 'modulus': 49, 'orbit_index': 7, 'orbit_label': '49.7', 'order': 21, 'parity': 1, 'prim_orbit_index': 7}
• 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': 23, 'label': '49.23', 'modulus': 49, 'orbit_label': '49.7', 'order': 21, 'prim_label': '49.23', 'values': [[48, 0], [1, 0], [2, 11], [3, 19], [4, 1], [5, 5], [6, 9], [8, 12], [9, 17], [10, 16], [11, 4], [12, 20]], 'values_gens': [[3, 19]]}