Dirichlet character data - 539.81

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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': 48, 'conductor': 539, 'galois_orbit': [4, 9, 16, 25, 37, 53, 58, 60, 81, 86, 93, 102, 114, 130, 135, 137, 158, 163, 170, 179, 191, 207, 212, 235, 240, 247, 256, 268, 284, 289, 291, 317, 333, 345, 366, 368, 389, 394, 401, 438, 443, 445, 466, 478, 487, 499, 515, 522], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [1, 42, -1323, -28616, 457121, 7974323, -64081612, -1075785031, 4704472696, 81297994897, -216093892420, -3874804380090, 6923647721263, 126041544251014, -165049367756132, -2952237377696068, 3034832163717060, 51736594717716209, -43889768269239263, -698022686499818106, 505057336715646400, 7411962275015177120, -4664764161781580612, -63027817234414373411, 34850734758160873321, 435233214184584259969, -212191256919618955993, -2468535346265013660670, 1060418792861839846657, 11608367222460157379454, -4379100849832948523186, -45620111764015133749761, 15037515535310237970294, 150848483532332443534677, -43190181323166433527720, -422179535563366734465068, 104321380069829871138407, 1005341611576236194464862, -212986136816796616624932, -2046731975379129859580781, 369312723275359959505949, 3577967699642064425907595, -546323460758296314434644, -5392520180052007005266494, 692369771085467346268061, 7033124299837647268331599, -754649818605571809138134, -7965309222466359361505285, 709930821789853087923961, 7858280426742193589184695, -578284732346909914390169, -6772817851081852516749264, 409028059386910054549339, 5112638851232541232085713, -251832001493362181493343, -3387961500353952065951834, 135237949398073238355062, 1974680921152798507201756, -63447554060886056715703, -1013978327824064318781604, 26035528871033145066253, 459303181179070471576032, -9351011159229596191174, -183708406404684791942817, 2940252339621247876456, 64921200624854574975590, -809116414554828611259, -20276094065232465333671, 194696648592703553709, 5595891462756396703797, -40904983773168211778, -1363991492382117375896, 7486996439675654188, 293352159704509963057, -1190264977753431265, -55586207839734382580, 163704030929342309, 9261244692846920590, -19378764347148108, -1353142871632696172, 1961496747494256, 172787177613590743, -168337858877454, -19200065718507688, 12116449087186, 1846566446447730, -721030129743, -152664326382953, 34797820449, 10756497343571, -1325858758, -638790538121, 38334793, 31515551382, -789439, -1266940521, 10304, 40395894, -64, -981834, 0, 17073, 0, -189, 0, 1], 'label': '539.bc', 'modulus': 539, 'orbit_index': 29, 'orbit_label': '539.29', 'order': 105, 'parity': 1, 'prim_orbit_index': 29}
• 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': 81, 'label': '539.81', 'modulus': 539, 'orbit_label': '539.29', 'order': 105, 'prim_label': '539.81', 'values': [[538, 0], [1, 0], [2, 71], [3, 73], [4, 37], [5, 59], [6, 39], [8, 3], [9, 41], [10, 25], [12, 5], [13, 36]], 'values_gens': [[199, 10], [442, 21]]}