Dirichlet character data - 571.29

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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': 36, 'conductor': 571, 'galois_orbit': [4, 16, 29, 82, 124, 143, 150, 220, 231, 236, 256, 258, 270, 285, 309, 328, 339, 362, 373, 376, 383, 396, 418, 436, 442, 443, 453, 464, 486, 496, 509, 513, 524, 530, 539, 569], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [1106607760468921, -16294945379205003, -40940926703261575, 553530766559322661, 566192006249775370, -7427716437098983898, -2550292598436181341, 53533850733907652531, -6834145410586343588, -230112879376389105211, 110462113440036446772, 619961225926522462095, -471746552543943608996, -1085861383706649208056, 1113769813156131151243, 1261033639440499644464, -1696071807055373522035, -960092019850258805226, 1789342394170852143531, 433688575637203819369, -1364874604454876817017, -48449552232917708353, 774586158847526775433, -84418108677817186462, -333711615671829211080, 72918296623618761463, 110710914330480601651, -34189011455705094605, -28558568171592641688, 11147224676910352774, 5761159724898347762, -2715635681172908771, -910675362795548766, 510285026219952610, 112547008533717792, -75192202970625821, -10792363473174764, 8764465094137854, 790308864013438, -811003980023388, -42813240934457, 59541782306075, 1596635262397, -3452380904830, -32200063435, 156636286502, -262949231, -5476527077, 42098649, 144066912, -1425187, -2746048, 25615, 35629, -247, -280, 1, 1], 'label': '571.k', 'modulus': 571, 'orbit_index': 11, 'orbit_label': '571.11', 'order': 57, 'parity': 1, 'prim_orbit_index': 11}
• 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': 29, 'label': '571.29', 'modulus': 571, 'orbit_label': '571.11', 'order': 57, 'prim_label': '571.29', 'values': [[570, 0], [1, 0], [2, 13], [3, 20], [4, 26], [5, 4], [6, 33], [7, 3], [8, 39], [9, 40], [10, 17], [11, 2]], 'values_gens': [[3, 20]]}