Dirichlet character data - 147.89

Formats: - HTML - YAML - JSON - 2022-12-02T03:42:59.956874

• 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': 12, 'conductor': 147, 'galois_orbit': [5, 17, 26, 38, 47, 59, 89, 101, 110, 122, 131, 143], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '42.42.1236219045653317330764639083558080790009887216550178193020957667462329030021.1', 'kernel_field_poly': [1, 56, 392, -2170, -15974, 29211, 235249, -198948, -1816836, 798357, 8580418, -2063243, -27041546, 3643150, 60174899, -4577216, -98285670, 4206314, 121090515, -2877896, -114717330, 1480051, 84672315, -573300, -49085400, 166257, 22428252, -35525, -8069424, 5425, 2272424, -560, -494802, 35, 81585, -1, -9842, 0, 819, 0, -42, 0, 1], 'label': '147.o', 'modulus': 147, 'orbit_index': 15, 'orbit_label': '147.15', 'order': 42, 'parity': 1, 'prim_orbit_index': 15}
• 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': 89, 'label': '147.89', 'modulus': 147, 'orbit_label': '147.15', 'order': 42, 'prim_label': '147.89', 'values': [[146, 0], [1, 0], [2, 31], [4, 20], [5, 16], [8, 9], [10, 5], [11, 17], [13, 3], [16, 40], [17, 8], [19, 7]], 'values_gens': [[50, 21], [52, 23]]}