Dirichlet character data - 837.544

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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': 837, 'galois_orbit': [52, 106, 115, 148, 220, 229, 259, 265, 331, 385, 394, 427, 499, 508, 538, 544, 610, 664, 673, 706, 778, 787, 817, 823], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [13212665116140125816860996891, -19090697206610032556092964883, 19806660452363025081449242656, 69384766463950757015434014816, -191118226980276869448958237395, -588428452776952185341033854332, 282653695549485608488044246675, 2344796214466218280740603319878, 2588911711827451340079612224871, -279870711194438598302736704828, -1877992726434505950146028664824, 621728555565444833625688567881, 2594842728140733578402900560413, 457381270780636030677433644984, -1644492653109243639210982764015, -371568097707816423986354619864, 1041355333757145922380248336190, 332833722682343851609911409221, -428046184138891955895523302402, -112443652419271269022003135554, 143273641225301130751430526981, 24083228219085733634683705629, -7124326849747951122136194972, 4432005617372109798133135608, -9921463949190441170104243884, -6069170743783056996242487219, 10959804786929879737569782457, -1377575247594803977028251305, -98272663231620289015530819, -1451242922182125214153219704, 816553525895158616619216831, -217668413604040672030362666, 233649737748499009063703652, -132719245019528351946267447, 23763270171533533238437146, -12457950832710263040817482, 6993033380613787225568641, -2766061928647044067465476, 1674719049535197877977696, -145259144062616187159438, -385097783979773168847315, -330470925501092581368, 10925358815309801422833, 27929044092475633162230, 27379403390500653240, 3905963704361044517117, -421389287173245148821, -272640886059469457781, 70865347424687597094, 160908866426432464254, 68175600393208568823, -6164835744764505366, -591191581788311661, -3212062320680145711, -2121087753237420621, 71513481798345240, 196539321230003925, 90515358607952466, 33527855384162901, 9553208533242129, -691633677285369, -800085469283577, -149716407508461, -138506279270786, 10356247269639, -9675542968641, 434081548476, 1488422015586, -130935613725, 255226066272, 3330183618, -768878244, -534645406, -1846249020, -148613535, -26295192, 5266404, 828630, 2280825, 128898, 210924, 17360, 0, 0, -2790, 0, 0, 0, 0, 0, 1], 'label': '837.cl', 'modulus': 837, 'orbit_index': 64, 'orbit_label': '837.64', 'order': 90, 'parity': -1, 'prim_orbit_index': 64}
• 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': 544, 'label': '837.544', 'modulus': 837, 'orbit_label': '837.64', 'order': 90, 'prim_label': '837.544', 'values': [[836, 45], [1, 0], [2, 64], [4, 38], [5, 20], [7, 28], [8, 12], [10, 84], [11, 73], [13, 41], [14, 2], [16, 76]], 'values_gens': [[218, 10], [406, 21]]}