Dirichlet character data - 547.296

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• 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': 24, 'conductor': 547, 'galois_orbit': [11, 21, 47, 54, 96, 121, 129, 136, 181, 199, 217, 231, 233, 239, 296, 302, 325, 402, 419, 441, 445, 464, 488, 521], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_label': '39.39.110539730308983252644692019573737637228828219789892386533857010792412648335681998371651796263456819412889.1', 'kernel_field_poly': [15539564953953, -264907416527640, 1322681130702459, -1602614683727208, -4226325744669057, 11129065111375902, 1000224610088400, -23071484201964822, 11651476867778808, 23224133468755773, -20865350159842410, -12225754395203670, 17760841353343332, 2644115229153457, -9130534820399395, 605869572443830, 3085798869034590, -615613322642382, -715024587078660, 212799596796731, 116206956876955, -44496937680997, -13394812097448, 6291493806807, 1097818462656, -626428894665, -63687593067, 44569388886, 2590988751, -2263189338, -73319589, 80733464, 1451515, -1955719, -20577, 30249, 201, -266, -1, 1], 'label': '547.j', 'modulus': 547, 'orbit_index': 10, 'orbit_label': '547.10', 'order': 39, 'parity': 1, 'prim_orbit_index': 10}
• 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': 296, 'label': '547.296', 'modulus': 547, 'orbit_label': '547.10', 'order': 39, 'prim_label': '547.296', 'values': [[546, 0], [1, 0], [2, 35], [3, 0], [4, 31], [5, 25], [6, 35], [7, 17], [8, 27], [9, 0], [10, 21], [11, 32]], 'values_gens': [[2, 35]]}