Dirichlet character data - 361.286

Formats: - HTML - YAML - JSON - 2023-05-31T19:43:18.788992

• 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': 18, 'conductor': 361, 'galois_orbit': [20, 39, 58, 77, 96, 115, 134, 153, 172, 191, 210, 229, 248, 267, 286, 305, 324, 343], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '19.19.10842505080063916320800450434338728415281531281.1', 'kernel_field_poly': [-221874931, -137550709, 1138104275, 868638105, -1264657480, -861915924, 582575340, 339213156, -126730380, -66283229, 13391960, 6916190, -673436, -385833, 15580, 11476, -133, -171, 0, 1], 'label': '361.g', 'modulus': 361, 'orbit_index': 7, 'orbit_label': '361.7', 'order': 19, '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': 286, 'label': '361.286', 'modulus': 361, 'orbit_label': '361.7', 'order': 19, 'prim_label': '361.286', 'values': [[360, 0], [1, 0], [2, 5], [3, 11], [4, 10], [5, 1], [6, 16], [7, 9], [8, 15], [9, 3], [10, 6], [11, 16]], 'values_gens': [[2, 5]]}