Dirichlet character data - 684.269

Formats: - HTML - YAML - JSON - 2022-08-12T05:45:12.161758

• 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': 57, 'galois_orbit': [53, 89, 269, 413, 485, 629], 'is_minimal': True, 'is_primitive': False, 'is_real': False, 'kernel_field_label': '18.18.107870454521778261425837337.1', 'kernel_field_poly': [1, -20, 20, 265, -265, -989, 989, 1519, -1519, -1198, 1198, 531, -531, -134, 134, 18, -18, -1, 1], 'label': '684.bz', 'modulus': 684, 'orbit_index': 52, 'orbit_label': '684.52', 'order': 18, 'parity': 1, 'prim_orbit_index': 10}
• 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': 269, 'label': '684.269', 'modulus': 684, 'orbit_label': '684.52', 'order': 18, 'prim_label': '57.41', 'values': [[683, 0], [1, 0], [5, 1], [7, 6], [11, 3], [13, 11], [17, 13], [23, 17], [25, 2], [29, 14], [31, 15], [35, 7]], 'values_gens': [[343, 0], [533, 9], [325, 13]]}