Dirichlet character data - 143.50

Formats: - HTML - YAML - JSON - 2023-05-30T01:17:17.000279

• 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': 16, 'conductor': 143, 'galois_orbit': [2, 6, 7, 19, 24, 28, 41, 46, 50, 63, 72, 84, 85, 106, 123, 128], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [1, 36, -612, -7113, 55305, 366648, -1800652, -7925810, 29901764, 95314988, -300842882, -733553781, 2024261108, 3919741894, -9705324000, -15334436919, 34646338352, 45579323970, -95092642859, -105770029276, 205593366966, 195602334521, -356754197541, -292867657590, 504158401915, 359407537879, -586896075823, -364963554059, 567804751423, 308887673842, -459621568045, -219047674031, 312809602500, 130618537562, -179565559287, -65618504331, 87080513652, 27779262302, -35675680221, -9896003704, 12326598914, 2956559858, -3579176853, -736662586, 868312216, 151795100, -174501553, -25556488, 28696849, 3455336, -3795012, -365859, 393525, 29205, -30800, -1652, 1710, 59, -60, -1, 1], 'label': '143.w', 'modulus': 143, 'orbit_index': 23, 'orbit_label': '143.23', 'order': 60, 'parity': 1, 'prim_orbit_index': 23}
• 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': 50, 'label': '143.50', 'modulus': 143, 'orbit_label': '143.23', 'order': 60, 'prim_label': '143.50', 'values': [[142, 0], [1, 0], [2, 29], [3, 32], [4, 58], [5, 51], [6, 1], [7, 43], [8, 27], [9, 4], [10, 20], [12, 30]], 'values_gens': [[79, 54], [67, 35]]}