Dirichlet character data - 59.22

Formats: - HTML - YAML - JSON - 2022-08-18T23:41:48.666131

• 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': 28, 'conductor': 59, 'galois_orbit': [3, 4, 5, 7, 9, 12, 15, 16, 17, 19, 20, 21, 22, 25, 26, 27, 28, 29, 35, 36, 41, 45, 46, 48, 49, 51, 53, 57], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '29.29.38358032782038398419973086399760468678777161743121.1', 'kernel_field_poly': [-1, 15, 105, -560, -1820, 6188, 12376, -31824, -43758, 92378, 92378, -167960, -125970, 203490, 116280, -170544, -74613, 100947, 33649, -42504, -10626, 12650, 2300, -2600, -325, 351, 27, -28, -1, 1], 'label': '59.c', 'modulus': 59, 'orbit_index': 3, 'orbit_label': '59.3', 'order': 29, 'parity': 1, 'prim_orbit_index': 3}
• 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': 22, 'label': '59.22', 'modulus': 59, 'orbit_label': '59.3', 'order': 29, 'prim_label': '59.22', 'values': [[58, 0], [1, 0], [2, 13], [3, 12], [4, 26], [5, 20], [6, 25], [7, 2], [8, 10], [9, 24], [10, 4], [11, 6]], 'values_gens': [[2, 13]]}