Dirichlet character data - 837.290

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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': [11, 83, 86, 137, 146, 158, 167, 203, 290, 362, 365, 416, 425, 437, 446, 482, 569, 641, 644, 695, 704, 716, 725, 761], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [1063219328831719, -6599123929347048, -464298699478304295, -631899856215542406, 47158234755651511776, 194609738929733020314, -1499663020619622885750, -8548582408648421202648, 22056215797496410069716, 175512364574768136091810, -155768563203347130279309, -2138234566064795981974161, 181987055172244423056495, 17225669062013046752275749, 6404681863948774847686272, -97819031583386440597155213, -65165673614689299852799866, 409067860751444208763860174, 358322076876220973250119563, -1301722642807446710133266868, -1353393188633147361981856245, 3234390565751168274944751429, 3812575531578969557331666000, -6407015810845477120621438041, -8368278014506603411108229904, 10291779298199205830765621790, 14721470918188838636014699902, -13594505037679245337537067658, -21181717450129640384298843954, 14937504718128109571899457928, 25313109987558232477396032141, -13783730893689648804104004840, -25430309843334643421653539933, 10765635284636660405976796233, 21686427513838647058265384733, -7163078762478777618661490637, -15822328074267846874291440476, 4081613937084203557180360230, 9940002844496761967036779809, -2000189944658135250299713650, -5405190489371085965097255459, 845773665199303299761825730, 2554983546555535622868078198, -309354567073335752309413686, -1053397858904240230373988546, 98043769286279906345376963, 379816617822408646222706757, -26950594881227132451006729, -120002762759241322710433557, 6427092846705617831604354, 33268655075472455360739885, -1329102620448524508873825, -8099262107893047682111536, 238053545778583297552356, 1731885279934547986080305, -36854311090034417373711, -325172602934222228025867, 4917423016645899443811, 53560439482115459547018, -563270294485751156559, -7728036206543083545021, 55105461544257231867, 974706985087927085097, -4573984780490315931, -107161695027899842815, 319390366883733414, 10232893517384162598, -18556671328337844, -844839748787574420, 884231722733247, 59964630826649427, -33892569128484, -3633040329845288, 1017161215317, 186213848747328, -22970857803, -7983083289366, 366354900, 282048313824, -3671640, -8052051321, 17360, 180739269, 0, -3064629, 0, 36828, 0, -279, 0, 1], 'label': '837.cf', 'modulus': 837, 'orbit_index': 58, 'orbit_label': '837.58', 'order': 90, 'parity': 1, 'prim_orbit_index': 58}
• 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': 290, 'label': '837.290', 'modulus': 837, 'orbit_label': '837.58', 'order': 90, 'prim_label': '837.290', 'values': [[836, 0], [1, 0], [2, 71], [4, 52], [5, 25], [7, 62], [8, 33], [10, 6], [11, 62], [13, 49], [14, 43], [16, 14]], 'values_gens': [[218, 35], [406, 69]]}