Dirichlet character data - 1287.1072

Formats: - HTML - YAML - JSON - 2022-08-08T07:08:17.463705

• 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': 143, 'galois_orbit': [37, 136, 163, 262, 280, 379, 388, 487, 631, 730, 856, 955, 973, 982, 1072, 1081], 'is_minimal': True, 'is_primitive': False, 'is_real': False, 'kernel_field_poly': [1, -3, 12, -41, 146, -511, 1798, -6314, 22187, -77946, 273856, -962142, 3380337, 550488, 4445069, 2525891, 5541291, 4803251, 7322127, 7637576, 10199475, 11258269, 15248544, 13867372, 31339541, -12880075, 23721316, -13561925, 15122510, -9627507, 9161110, -6035202, 5518323, -3511138, 3413972, -1827946, 2198081, -429378, 667759, -98230, 210320, -23317, 69610, -7030, 24562, -3339, 9290, -2219, 3639, -1637, 1001, -429, 275, -110, 75, -27, 20, -6, 5, -1, 1], 'label': '1287.eg', 'modulus': 1287, 'orbit_index': 111, 'orbit_label': '1287.111', 'order': 60, 'parity': -1, 'prim_orbit_index': 24}
• 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': 1072, 'label': '1287.1072', 'modulus': 1287, 'orbit_label': '1287.111', 'order': 60, 'prim_label': '143.71', 'values': [[1286, 30], [1, 0], [2, 49], [4, 38], [5, 21], [7, 23], [8, 27], [10, 10], [14, 12], [16, 16], [17, 26], [19, 17]], 'values_gens': [[1145, 0], [937, 24], [496, 25]]}