Dirichlet character data - 475.251

Formats: - HTML - YAML - JSON - 2022-08-12T06:48:45.522728

• 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': 19, 'galois_orbit': [101, 176, 226, 251, 301, 351], 'is_minimal': True, 'is_primitive': False, 'is_real': False, 'kernel_field_label': '9.9.16983563041.1', 'kernel_field_poly': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'label': '475.l', 'modulus': 475, 'orbit_index': 12, 'orbit_label': '475.12', 'order': 9, 'parity': 1, 'prim_orbit_index': 5}
• 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': 251, 'label': '475.251', 'modulus': 475, 'orbit_label': '475.12', 'order': 9, 'prim_label': '19.4', 'values': [[474, 0], [1, 0], [2, 1], [3, 4], [4, 2], [6, 5], [7, 6], [8, 3], [9, 8], [11, 3], [12, 6], [13, 5]], 'values_gens': [[77, 0], [401, 1]]}