Dirichlet character data - 287.258

Formats: - HTML - YAML - JSON - 2023-01-30T19:03:29.673312

• 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': 16, 'conductor': 287, 'galois_orbit': [6, 13, 34, 48, 69, 76, 97, 104, 111, 153, 181, 188, 216, 258, 265, 272], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '40.40.63172957949423116502957480067191906200305068755882825968063357506461803384975161.1', 'kernel_field_poly': [2308219, 40683397, -40683397, -1464023163, 1464023163, 14260160389, -14260160389, -63237601403, 63237601403, 156339390341, -156339390341, -242891503739, 242891503739, 256147113861, -256147113861, -192987641979, 192987641979, 107536349061, -107536349061, -45361821819, 45361821819, 14705316741, -14705316741, -3694696059, 3694696059, 721307013, -721307013, -109052539, 109052539, 12638085, -12638085, -1101179, 1101179, 69781, -69781, -3035, 3035, 81, -81, -1, 1], 'label': '287.bb', 'modulus': 287, 'orbit_index': 28, 'orbit_label': '287.28', 'order': 40, 'parity': 1, 'prim_orbit_index': 28}
• 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': 258, 'label': '287.258', 'modulus': 287, 'orbit_label': '287.28', 'order': 40, 'prim_label': '287.258', 'values': [[286, 0], [1, 0], [2, 22], [3, 25], [4, 4], [5, 14], [6, 7], [8, 26], [9, 10], [10, 36], [11, 1], [12, 29]], 'values_gens': [[206, 20], [211, 27]]}