Dirichlet character data - 1728.593

Formats: - HTML - YAML - JSON - 2023-03-28T11:59:41.517176

• 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': 2, 'conductor': 48, 'galois_orbit': [593, 1457], 'is_minimal': False, 'is_primitive': False, 'is_real': False, 'kernel_field_label': '4.0.18432.2', 'kernel_field_poly': [18, 0, 12, 0, 1], 'label': '1728.j', 'modulus': 1728, 'orbit_index': 10, 'orbit_label': '1728.10', 'order': 4, 'parity': -1, 'prim_orbit_index': 9}
• 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': 593, 'label': '1728.593', 'modulus': 1728, 'orbit_label': '1728.10', 'order': 4, 'prim_label': '48.29', 'values': [[1727, 2], [1, 0], [5, 5], [7, 2], [11, 5], [13, 1], [17, 2], [19, 1], [23, 0], [25, 2], [29, 3], [31, 0]], 'values_gens': [[703, 0], [325, 3], [1217, 2]]}