Dirichlet character data - 475.21

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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': 475, 'galois_orbit': [21, 41, 71, 86, 91, 116, 136, 146, 166, 181, 186, 211, 231, 241, 261, 281, 306, 336, 356, 371, 421, 431, 466, 471], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [1, -10, 95, -890, 8325, -77851, 727995, -6807540, 63657805, -595268725, 5566400676, -52051813080, 486740247710, -4551543062745, 42561806526825, -397998513878101, 3721712727332515, -34802003378914105, 325436036556760210, -248274024215113525, 507938024092071251, -587371467004875300, 886086310816175600, -1170061568773427200, 1644743487819754525, -2244201950260724501, 3105057842779075685, -4268220109105764695, 5884953943328450715, -8102603947784681350, 11163270620407637476, -15375204874647536545, 21177876275696129265, -29154986122975685880, 40011035052585528375, -53719927774423199176, 60969446126195027630, 37837651860324874065, 35678900386028096735, 23706163047459410250, 16640313972937353651, 10885602767415351960, 7166381075428940580, 4632414751979274175, 2993811729756664700, 1923305723889034274, 1236428864703723550, 790918955655299550, 509308606839455315, 322796070609519900, 211380092371485651, 128875926928373590, 91382019298735295, 46292489246180295, 46128209718736575, 9695557197600074, 6452344963745745, 1746451111518440, 936846795907320, 294516402055475, 139555917492976, 47981810120320, 21115220368230, 7651124738540, 3214349921175, 1197163284874, 486054810465, 181914314500, 71090912875, 25717482225, 9350473501, 2762172150, 886418745, -261226065, 84406200, -24217726, 8095320, -2221315, 785355, -199975, 77551, -17405, 7860, -1420, 825, -101, 90, -5, 10, 0, 1], 'label': '475.bf', 'modulus': 475, 'orbit_index': 32, 'orbit_label': '475.32', 'order': 90, 'parity': -1, 'prim_orbit_index': 32}
• 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': 21, 'label': '475.21', 'modulus': 475, 'orbit_label': '475.32', 'order': 90, 'prim_label': '475.21', 'values': [[474, 45], [1, 0], [2, 59], [3, 83], [4, 28], [6, 52], [7, 30], [8, 87], [9, 76], [11, 24], [12, 21], [13, 61]], 'values_gens': [[77, 54], [401, 5]]}