Hilbert modular form data - 4.4.14336.1-7.1-b

Formats: - HTML - YAML - JSON - 2024-05-19T18:55:41.802374

• hmf_forms •

  Column	Type
  deg	smallint
  dimension	integer
  disc	bigint
  field_bad_primes	integer[]
  field_label	text
  is_CM	text
  is_base_change	text
  label	text
  label_nsuffix	smallint
  label_suffix	text
  level_bad_primes	integer[]
  level_ideal	text
  level_label	text
  level_norm	integer
  parallel_weight	smallint
  short_label	text
  weight	text

  
  {'deg': 4, 'dimension': 1, 'disc': 14336, 'field_bad_primes': [2, 7], 'field_label': '4.4.14336.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.14336.1-7.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [7], 'level_ideal': '[7, 7, w^3 - w^2 - 5*w + 7]', 'level_label': '7.1', 'level_norm': 7, 'parallel_weight': 2, 'short_label': '7.1-b', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[7,7,w^3-w^2-5*w+7]', -1]], 'hecke_eigenvalues': [0, 1, 4, -4, 2, -2, -8, -8, 2, -2, -6, 6, 8, -8, 6, 6, 4, -4, -14, -10, -10, 10, -10, -2, -2, -8, -8, -8, -8, 22, -22, -20, 20, -6, 22, -22, 6, 16, 16, 16, -16, -26, 22, 22, -26, -16, -16, 26, -26, -6, -6, -4, 4, -8, 0, 0, -8, 6, -10, -10, 6, 34, -16, -8, 8, -16, -2, 2, 18, 18, 0, 0, -16, 28, -28, -16, -6, 14, -14, 6, -34, 34, 0, 0, 34, -34, 16, 32, -32, 16, -22, 26, -26, 22, 24, -24, -40, -40, 24, -8, -8, -24, 30, -30, 10, 18, 46, -46, -18, -14, -14, 26, 26, 32, -32, -26, -26, -32, 20, -20, -32, -28, 28, -14, -14, 14, 14, 8, 8, -16, -16, 22, -22, 10, -10, 26, 30, -30, -26, -44, 44, -26, 26, 16, -16, 18, 18, 40, 40, -40, 40, -14, 14, -2, -2, -62, -38, -40, -40, 36, -36], 'hecke_polynomial': 'x', 'label': '4.4.14336.1-7.1-b'}
• hmf_fields •

  Column	Type
  degree	smallint
  discriminant	bigint
  ideals	jsonb
  label	text
  narrow_class_no	smallint
  primes	jsonb

  
  {'degree': 4, 'discriminant': 14336, 'ideals': ['[1, 1, 1]', '[2, 2, -w^3 + w^2 + 5*w - 6]', '[4, 2, -w^2 + 4]', '[7, 7, w^3 - w^2 - 5*w + 7]', '[7, 7, -w - 1]', '[7, 7, w - 1]', '[8, 2, -w^3 + 4*w + 2]', '[14, 14, w]', '[14, 14, -w^2 - w + 2]', '[14, 14, -w^2 + w + 2]', '[16, 2, 2]', '[17, 17, w^2 - w - 5]', '[17, 17, w^2 + w - 5]', '[23, 23, -w - 3]', '[23, 23, w - 3]', '[25, 5, -w^3 + w^2 + 4*w - 3]', '[25, 5, -w^3 - w^2 + 4*w + 3]', '[28, 14, w^3 - 3*w^2 - 6*w + 14]', '[28, 14, w^3 + w^2 - 4*w - 4]', '[28, 14, -w^3 + w^2 + 4*w - 4]', '[32, 4, -2*w^3 + 2*w^2 + 10*w - 12]', '[34, 34, w^3 - 5*w - 2]', '[34, 34, w^3 - 5*w + 2]', '[41, 41, w^3 - 4*w - 1]', '[41, 41, -w^3 + 4*w - 1]', '[46, 46, -w^2 + w + 6]', '[46, 46, -w^2 - w + 6]', '[49, 7, -2*w^2 + 7]', '[49, 7, w^3 - 2*w^2 - 3*w + 7]', '[49, 7, w^3 + 2*w^2 - 3*w - 7]', '[49, 7, 2*w^2 - 9]', '[49, 49, w^3 - 5*w + 3]', '[49, 49, w^3 - 5*w - 3]', '[50, 10, w^3 - 2*w^2 - 5*w + 8]', '[50, 10, w^3 + 2*w^2 - 5*w - 8]', '[56, 14, -w^3 + 4*w]', '[56, 14, -w^3 + 2*w^2 + 4*w - 6]', '[56, 14, w^3 + 2*w^2 - 4*w - 6]', '[64, 4, -2*w^2 + 8]', '[68, 34, w^3 + w^2 - 4*w - 6]', '[68, 34, -w^3 + w^2 + 4*w - 6]', '[71, 71, -w^3 + 2*w^2 + 4*w - 9]', '[71, 71, w^3 + 2*w^2 - 4*w - 9]', '[73, 73, w^3 - w^2 - 5*w + 3]', '[73, 73, w^3 + w^2 - 5*w - 3]', '[79, 79, 2*w^2 - 2*w - 9]', '[79, 79, -2*w^3 + 8*w + 5]', '[81, 3, -3]', '[82, 82, -w^3 + w^2 + 5*w - 8]', '[82, 82, 3*w^3 - 3*w^2 - 15*w + 20]', '[89, 89, -w^3 - 2*w^2 + 6*w + 13]', '[89, 89, w^3 - 2*w^2 - 6*w + 13]', '[92, 46, w^3 + 3*w^2 - 4*w - 12]', '[92, 46, -w^3 + 3*w^2 + 4*w - 12]', '[97, 97, w^2 - 2*w - 5]', '[97, 97, 5*w^2 - 4*w - 19]', '[98, 14, -w^3 - 3*w^2 + 7*w + 14]', '[98, 14, -w^2 - w]', '[98, 14, w^2 - w]', '[98, 14, 2*w^3 + w^2 - 9*w - 8]', '[98, 98, 2*w^2 - w - 10]', '[98, 98, 2*w^2 + w - 10]', '[100, 10, w^2 + 2*w - 2]', '[100, 10, -w^2 + 2*w + 2]', '[112, 14, 2*w^3 - 2*w^2 - 10*w + 14]', '[112, 14, -2*w - 2]', '[112, 14, 2*w - 2]', '[119, 119, -w^3 + w^2 + 4*w - 7]', '[119, 119, -w^3 - 3*w^2 + 5*w + 13]', '[119, 119, w^3 - 2*w^2 - 4*w + 5]', '[119, 119, -w^3 - 2*w^2 + 4*w + 5]', '[119, 119, -w^3 + 3*w^2 + 5*w - 13]', '[119, 119, w^3 + w^2 - 4*w - 7]', '[121, 11, -3*w^3 + w^2 + 12*w + 5]', '[121, 11, w^3 + w^2 - 6*w - 9]', '[127, 127, -2*w^3 - w^2 + 10*w + 3]', '[127, 127, 2*w^3 - w^2 - 10*w + 3]', '[128, 4, -2*w^3 + 8*w + 4]', '[136, 34, w^3 - 2*w^2 - 6*w + 8]', '[136, 34, w^3 + 2*w^2 - 6*w - 8]', '[142, 142, w + 4]', '[142, 142, -w + 4]', '[146, 146, -3*w^3 + 6*w^2 + 17*w - 32]', '[146, 146, -3*w^3 + 4*w^2 + 15*w - 24]', '[151, 151, w^3 + 3*w^2 - 4*w - 9]', '[151, 151, -w^3 + 3*w^2 + 4*w - 9]', '[158, 158, -w^3 + w^2 + 5*w - 2]', '[158, 158, w^3 + w^2 - 5*w - 2]', '[161, 161, 2*w^3 + 3*w^2 - 8*w - 11]', '[161, 161, -w^2 + 2*w + 3]', '[161, 161, -w^3 + 2*w^2 + 5*w - 7]', '[161, 161, -w^3 - 2*w^2 + 5*w + 7]', '[161, 161, -w^2 - 2*w + 3]', '[161, 161, -2*w^3 + 3*w^2 + 8*w - 11]', '[162, 6, 3*w^3 - 3*w^2 - 15*w + 18]', '[164, 82, w^2 - 2*w - 4]', '[164, 82, w^2 + 2*w - 4]', '[169, 13, -2*w^2 - w + 11]', '[169, 13, 2*w^2 - w - 11]', '[175, 35, w^2 + 2*w - 7]', '[175, 35, w^2 - 2*w - 7]', '[175, 35, -2*w^3 - w^2 + 10*w + 9]', '[175, 35, 3*w^2 - w - 11]', '[175, 35, 2*w^3 - w^2 - 10*w + 9]', '[175, 35, -3*w^2 - w + 11]', '[178, 178, 2*w^2 - w - 12]', '[178, 178, 2*w^2 + w - 12]', '[184, 46, w^3 - 2*w^2 - 4*w + 10]', '[184, 46, -w^3 - 2*w^2 + 4*w + 10]', '[191, 191, 2*w^3 - 2*w^2 - 6*w + 3]', '[191, 191, -4*w^2 + 4*w + 17]', '[193, 193, 3*w^2 - w - 15]', '[193, 193, 2*w - 1]', '[193, 193, -2*w - 1]', '[193, 193, 3*w^2 + w - 15]', '[194, 194, 3*w^2 + w - 12]', '[194, 194, 3*w^2 - w - 12]', '[196, 14, w^2]', '[196, 14, -w^3 - w^2 + 2*w]', '[196, 14, -w^3 + w^2 + 2*w]', '[196, 14, w^2 - 8]', '[196, 98, w^3 - 3*w^2 - 6*w + 12]', '[196, 98, w^3 + 3*w^2 - 6*w - 12]', '[200, 10, w^3 - 6*w + 4]', '[200, 10, w^3 - 6*w - 4]', '[223, 223, w^3 - 6*w^2 - 9*w + 25]', '[223, 223, -5*w^2 + 3*w + 19]', '[223, 223, 2*w^3 + 5*w^2 - 11*w - 23]', '[223, 223, 2*w^3 + 3*w^2 - 8*w - 13]', '[224, 28, 2*w]', '[224, 28, -2*w^2 - 2*w + 4]', '[224, 28, -2*w^2 + 2*w + 4]', '[233, 233, 3*w^3 + w^2 - 14*w - 13]', '[233, 233, w^3 - w^2 - 5*w + 1]', '[233, 233, -w^3 - w^2 + 5*w + 1]', '[233, 233, -w^3 + w^2 + 4*w + 1]', '[238, 238, -w^3 - 3*w^2 + 7*w + 16]', '[238, 238, -w^3 - 3*w^2 + 3*w + 12]', '[238, 238, w^3 + w^2 - 5*w]', '[238, 238, w^3 - w^2 - 5*w]', '[238, 238, -w^3 + 3*w^2 + 3*w - 12]', '[238, 238, -w^3 + 3*w^2 + 7*w - 16]', '[239, 239, w^3 - 5*w - 5]', '[239, 239, -w^3 + 5*w - 5]', '[241, 241, -2*w^3 - 7*w^2 + 14*w + 31]', '[241, 241, -2*w^3 - 3*w^2 + 12*w + 17]', '[242, 22, -2*w^3 + w^2 + 9*w - 2]', '[242, 22, 2*w^3 + w^2 - 9*w - 2]', '[254, 254, 6*w^3 - 11*w^2 - 33*w + 60]', '[254, 254, -6*w^3 + 9*w^2 + 31*w - 52]', '[256, 4, 4]', '[257, 257, -4*w^2 + 2*w + 15]', '[257, 257, 2*w^3 + 6*w^2 - 12*w - 27]', '[263, 263, w^3 - w^2 - 2*w - 1]', '[263, 263, -w^3 - w^2 + 2*w - 1]', '[271, 271, 4*w^3 + 3*w^2 - 20*w - 23]', '[271, 271, w^2 + 2*w - 9]', '[271, 271, 3*w^2 - 3*w - 11]', '[271, 271, 3*w^2 - 2*w - 9]', '[272, 34, 2*w^2 - 2*w - 10]', '[272, 34, 2*w^2 + 2*w - 10]', '[281, 281, w^3 - w^2 - 7*w + 1]', '[281, 281, -w^3 + 6*w^2 + 8*w - 25]', '[281, 281, -w^3 + 4*w^2 + 6*w - 17]', '[281, 281, -w^3 + 4*w - 5]', '[284, 142, w^2 + 2*w - 8]', '[284, 142, w^2 - 2*w - 8]', '[287, 287, w^3 + 4*w^2 - 3*w - 13]', '[287, 287, -4*w^3 + 3*w^2 + 19*w - 21]', '[287, 287, w^3 - 4*w^2 - 5*w + 15]', '[287, 287, -w^3 - 4*w^2 + 5*w + 15]', '[287, 287, 2*w^3 - w^2 - 9*w + 7]', '[287, 287, -w^3 + 4*w^2 + 3*w - 13]', '[289, 17, -3*w^2 + 11]', '[289, 17, 3*w^2 - 13]', '[289, 289, w^3 - 7*w + 5]', '[289, 289, w^3 - 7*w - 5]', '[292, 146, w^3 + w^2 - 6*w - 2]', '[292, 146, w^3 - w^2 - 6*w + 2]', '[302, 302, -2*w^3 - w^2 + 7*w - 2]', '[302, 302, 2*w^3 - 5*w^2 - 13*w + 26]', '[311, 311, -4*w^2 + w + 13]', '[311, 311, w^3 + 2*w^2 - 4*w - 11]', '[311, 311, -w^3 + 2*w^2 + 4*w - 11]', '[311, 311, -4*w^2 - w + 13]', '[313, 313, 3*w^3 - w^2 - 11*w - 3]', '[313, 313, w^3 - 3*w^2 - w + 11]', '[316, 158, -4*w^3 + 5*w^2 + 20*w - 30]', '[316, 158, 2*w^3 - 5*w^2 - 12*w + 26]', '[322, 322, -w^3 + 2*w^2 + 5*w - 6]', '[322, 322, w^2 - 3*w]', '[322, 322, 2*w^3 + 5*w^2 - 11*w - 24]', '[322, 322, 2*w^3 - 5*w^2 - 11*w + 24]', '[322, 322, -w^2 - 3*w]', '[322, 322, w^3 + 2*w^2 - 5*w - 6]', '[324, 6, 3*w^2 - 12]', '[328, 82, 3*w^3 - 2*w^2 - 12*w - 2]', '[328, 82, -w^3 + 2*w^2 + 4*w - 2]', '[338, 26, 6*w^3 - 10*w^2 - 33*w + 52]', '[338, 26, 4*w^3 - 4*w^2 - 21*w + 24]', '[343, 7, w^3 + w^2 - 7*w - 7]', '[343, 7, -w^3 + w^2 + 7*w - 7]', '[343, 7, -2*w^3 + 9*w - 7]', '[343, 49, -w^3 - 5*w^2 + 7*w + 21]', '[343, 49, -2*w^3 - 2*w^2 + 9*w + 9]', '[343, 49, w^3 + 2*w^2 - 6*w - 7]', '[343, 49, 2*w^3 - 2*w^2 - 9*w + 9]', '[343, 49, w^3 - 2*w^2 - 6*w + 7]', '[343, 343, -w^3 - 3*w^2 + 2*w + 11]', '[343, 343, -w^3 + 3*w^2 + 2*w - 11]', '[350, 70, -w^3 - 4*w^2 + 3*w + 14]', '[350, 70, w^3 - 4*w^2 - 3*w + 14]', '[350, 70, -w^3 - 2*w^2 + 7*w + 10]', '[350, 70, w^3 + w^2 - 3*w - 6]', '[350, 70, w^3 - w^2 - 3*w + 6]', '[350, 70, w^3 - 2*w^2 - 7*w + 10]', '[353, 353, 2*w^3 - w^2 - 9*w - 3]', '[353, 353, 5*w^2 - 3*w - 17]', '[356, 178, -2*w^3 - 5*w^2 + 10*w + 24]', '[356, 178, 2*w^3 - 5*w^2 - 10*w + 24]', '[359, 359, w^3 + 4*w^2 - 6*w - 15]', '[359, 359, -w^3 + 4*w^2 + 6*w - 15]', '[367, 367, -w^2 - w - 1]', '[367, 367, -2*w^3 - w^2 + 7*w + 1]', '[367, 367, 2*w^3 - w^2 - 7*w + 1]', '[367, 367, w^2 - w + 1]', '[368, 46, -2*w - 6]', '[368, 46, 2*w - 6]', '[382, 382, w^3 - 3*w^2 - 5*w + 10]', '[382, 382, -w^3 - 3*w^2 + 5*w + 10]', '[386, 386, 5*w^3 - 6*w^2 - 27*w + 34]', '[386, 386, 3*w^3 - 7*w^2 - 17*w + 34]', '[386, 386, -w^3 + 5*w^2 + 7*w - 22]', '[386, 386, 7*w^3 - 12*w^2 - 39*w + 62]', '[388, 194, 4*w^3 - 9*w^2 - 24*w + 44]', '[388, 194, 2*w^3 - 3*w^2 - 12*w + 16]', '[391, 391, 2*w^3 - 2*w^2 - 7*w + 5]', '[391, 391, 2*w^2 - 3*w - 9]', '[391, 391, -2*w^2 - 3*w + 9]', '[391, 391, 2*w^3 + 2*w^2 - 7*w - 5]', '[392, 14, -3*w^3 - 2*w^2 + 14*w + 14]', '[392, 14, w^3 + 4*w^2 - 4*w - 14]', '[392, 14, w^3 - 4*w^2 - 4*w + 14]', '[392, 14, w^3 + 4*w^2 - 8*w - 18]', '[392, 98, w^3 + 2*w^2 - 4*w - 12]', '[392, 98, -w^3 + 2*w^2 + 4*w - 12]', '[400, 10, -2*w^3 + 2*w^2 + 8*w - 6]', '[400, 10, -2*w^3 - 2*w^2 + 8*w + 6]', '[401, 401, -2*w^3 + 8*w + 3]', '[401, 401, -w^3 + 2*w^2 + 3*w - 9]', '[401, 401, w^3 + 2*w^2 - 3*w - 9]', '[401, 401, -4*w^3 - 2*w^2 + 18*w + 17]', '[409, 409, 2*w^3 + 4*w^2 - 9*w - 19]', '[409, 409, 2*w^3 - 4*w^2 - 9*w + 19]', '[425, 85, -w^3 - 4*w^2 + 4*w + 17]', '[425, 85, 2*w^3 + 4*w^2 - 9*w - 15]', '[425, 85, w^3 - 4*w^2 - 4*w + 17]', '[425, 85, 2*w^3 - 4*w^2 - 9*w + 15]', '[431, 431, w^3 - 6*w^2 - w + 19]', '[431, 431, w^3 + 6*w^2 - 7*w - 23]', '[433, 433, -6*w^2 + 6*w + 25]', '[433, 433, 2*w^3 - 4*w^2 - 4*w + 11]', '[439, 439, -w - 5]', '[439, 439, -w^3 + 3*w^2 + 4*w - 15]', '[439, 439, w^3 + 3*w^2 - 4*w - 15]', '[439, 439, w - 5]', '[446, 446, 4*w^2 + w - 18]', '[446, 446, w^3 - 7*w - 2]', '[446, 446, -w^3 + 7*w - 2]', '[446, 446, -3*w^2 - 3*w + 8]', '[448, 28, 2*w^3 - 6*w^2 - 12*w + 28]', '[448, 28, 2*w^3 + 2*w^2 - 8*w - 8]', '[448, 28, -2*w^3 + 2*w^2 + 8*w - 8]', '[457, 457, 2*w^3 + 2*w^2 - 7*w - 9]', '[457, 457, 3*w^3 + w^2 - 12*w - 9]', '[457, 457, 3*w^3 - 3*w^2 - 10*w + 5]', '[457, 457, -2*w^3 + 2*w^2 + 7*w - 9]', '[463, 463, 2*w^3 + w^2 - 9*w - 3]', '[463, 463, 2*w^3 - w^2 - 9*w + 3]', '[466, 466, -w^3 + 4*w^2 + 7*w - 20]', '[466, 466, 2*w^3 - w^2 - 9*w + 6]', '[466, 466, 2*w^3 + w^2 - 9*w - 6]', '[466, 466, -5*w^3 + 6*w^2 + 25*w - 36]', '[476, 238, 3*w^2 + 2*w - 14]', '[476, 238, -w^3 - w^2 + 6*w + 10]', '[476, 238, 3*w^2 - 2*w - 8]', '[476, 238, 3*w^2 + 2*w - 8]', '[476, 238, -w^3 + w^2 + 6*w - 10]', '[476, 238, 3*w^2 - 2*w - 14]', '[478, 478, 2*w^3 - 9*w + 2]', '[478, 478, 8*w^3 - 10*w^2 - 41*w + 58]', '[482, 482, -5*w^2 + w + 24]', '[482, 482, -5*w^2 - w + 24]', '[484, 22, 4*w^3 - 7*w^2 - 22*w + 40]', '[484, 22, -6*w^3 + 7*w^2 + 30*w - 44]', '[487, 487, -w^3 + w^2 + 6*w - 1]', '[487, 487, w^3 + w^2 - 6*w - 1]', '[497, 497, -5*w^2 + 2*w + 17]', '[497, 497, w^3 + 2*w^2 - 5*w - 5]', '[497, 497, -2*w^3 - 2*w^2 + 8*w + 7]', '[497, 497, -2*w^3 + 2*w^2 + 8*w - 7]', '[497, 497, -w^3 + 2*w^2 + 5*w - 5]', '[497, 497, 5*w^2 + 2*w - 17]', '[503, 503, w^3 + 5*w^2 - 8*w - 23]', '[503, 503, w^3 + 3*w^2 - 6*w - 11]', '[503, 503, w^3 - 3*w^2 - 6*w + 11]', '[503, 503, -3*w^3 - 3*w^2 + 14*w + 19]', '[508, 254, 2*w^3 - w^2 - 12*w + 2]', '[508, 254, -2*w^3 - w^2 + 12*w + 2]', '[511, 511, -2*w^3 + 4*w^2 + 8*w - 17]', '[511, 511, 4*w^3 - 3*w^2 - 20*w + 21]', '[511, 511, -2*w^2 + 2*w + 11]', '[511, 511, 2*w^2 + 2*w - 11]', '[511, 511, 4*w^3 - 7*w^2 - 22*w + 35]', '[511, 511, -2*w^3 - 4*w^2 + 8*w + 17]', '[512, 8, -4*w^3 + 4*w^2 + 20*w - 24]', '[514, 514, -w^3 + w^2 + 7*w - 6]', '[514, 514, w^3 + w^2 - 7*w - 6]', '[521, 521, -2*w^2 + 3*w + 11]', '[521, 521, 4*w^3 - 2*w^2 - 15*w - 3]', '[526, 526, 4*w^3 - 7*w^2 - 21*w + 34]', '[526, 526, 4*w^3 + w^2 - 17*w + 6]', '[529, 23, -w^2 - 1]', '[529, 23, -w^2 + 9]', '[529, 529, -2*w^3 - 5*w^2 + 10*w + 23]', '[529, 529, 2*w^3 - 5*w^2 - 10*w + 23]', '[542, 542, 2*w^3 + 3*w^2 - 9*w - 16]', '[542, 542, -w^3 + 4*w^2 + 5*w - 18]', '[542, 542, -w^3 - 4*w^2 + 5*w + 18]', '[542, 542, -2*w^3 + 3*w^2 + 9*w - 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7]', '[1631, 1631, w^3 - 5*w - 7]', '[1631, 1631, 2*w^2 + 4*w - 13]', '[1631, 1631, 2*w^3 - 5*w^2 - 12*w + 21]', '[1631, 1631, -2*w^3 - 4*w^2 + 6*w + 15]', '[1631, 1631, 2*w^3 + w^2 - 6*w + 3]', '[1631, 1631, w^2 + 4*w - 11]', '[1633, 1633, 4*w^3 - w^2 - 16*w - 5]', '[1633, 1633, w^3 - 2*w^2 - 3*w + 13]', '[1633, 1633, -w^3 - 2*w^2 + 3*w + 13]', '[1633, 1633, 4*w^3 + w^2 - 16*w + 5]', '[1636, 818, w^3 + 3*w^2 - 8*w - 20]', '[1636, 818, w^3 - 3*w^2 - 8*w + 20]', '[1646, 1646, 3*w^3 - w^2 - 15*w + 12]', '[1646, 1646, 3*w^3 - 9*w^2 - 19*w + 40]', '[1649, 1649, -2*w^3 + w^2 + 11*w - 1]', '[1649, 1649, -4*w^3 + w^2 + 19*w - 13]', '[1649, 1649, -4*w^3 - w^2 + 19*w + 13]', '[1649, 1649, -2*w^3 - w^2 + 11*w + 1]', '[1657, 1657, -3*w^3 - 4*w^2 + 18*w + 23]', '[1657, 1657, 3*w^3 - 4*w^2 - 18*w + 23]', '[1663, 1663, -4*w^3 + 6*w^2 + 20*w - 27]', '[1663, 1663, 4*w^3 + 6*w^2 - 20*w - 27]', '[1666, 238, -3*w^3 - 3*w^2 + 13*w + 14]', '[1666, 238, w^3 + 4*w^2 - 7*w - 14]', '[1666, 238, -2*w^3 + 2*w^2 + 9*w - 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7]', '[1687, 1687, -2*w^3 - 2*w^2 + 13*w + 7]', '[1687, 1687, w^3 - 3*w^2 - 10*w + 5]', '[1687, 1687, 3*w^3 + w^2 - 16*w - 9]', '[1694, 154, -6*w^3 + 8*w^2 + 31*w - 42]', '[1694, 154, 8*w^3 - 6*w^2 - 39*w + 42]', '[1694, 154, 3*w^3 - 8*w^2 - 11*w + 30]', '[1694, 154, -w^3 + 6*w^2 + 7*w - 26]', '[1694, 154, -3*w^3 - 8*w^2 + 11*w + 30]', '[1694, 154, w^3 + 6*w^2 - 7*w - 26]', '[1697, 1697, 4*w^3 + w^2 - 16*w - 11]', '[1697, 1697, 4*w^3 - 3*w^2 - 14*w + 3]', '[1700, 170, -w^2 + 2*w + 12]', '[1700, 170, w^3 - w^2 - 8*w - 4]', '[1700, 170, w^3 + w^2 - 8*w + 4]', '[1700, 170, -w^2 - 2*w + 12]', '[1714, 1714, -2*w^3 + 5*w^2 + 11*w - 30]', '[1714, 1714, 14*w^3 - 19*w^2 - 73*w + 110]', '[1721, 1721, w^3 + 5*w^2 - 4*w - 19]', '[1721, 1721, -w^3 + 5*w^2 + 4*w - 19]', '[1724, 862, 5*w^3 - 11*w^2 - 28*w + 54]', '[1724, 862, -w^3 + 7*w^2 + 8*w - 30]', '[1726, 1726, 9*w^3 - 15*w^2 - 49*w + 78]', '[1726, 1726, 5*w^3 - 3*w^2 - 25*w + 22]', '[1732, 866, 3*w^2 + 4*w - 10]', '[1732, 866, -6*w^3 + 13*w^2 + 36*w - 66]', '[1753, 1753, -2*w^3 + 4*w^2 + 9*w - 13]', '[1753, 1753, 2*w^3 + 4*w^2 - 9*w - 13]', '[1756, 878, w^3 + 5*w^2 - 4*w - 20]', '[1756, 878, 3*w^2 + 2*w - 18]', '[1756, 878, 3*w^2 - 2*w - 18]', '[1756, 878, -w^3 + 5*w^2 + 4*w - 20]', '[1759, 1759, w^2 + w - 11]', '[1759, 1759, w^2 - w - 11]', '[1762, 1762, -2*w^3 + 4*w^2 + 9*w - 22]', '[1762, 1762, 2*w^3 + 4*w^2 - 9*w - 22]', '[1775, 355, 2*w^3 + w^2 - 10*w + 1]', '[1775, 355, 2*w^3 + w^2 - 9*w + 5]', '[1775, 355, 2*w^3 - w^2 - 10*w - 1]', '[1775, 355, -2*w^3 + w^2 + 9*w + 5]', '[1777, 1777, 4*w^3 + 5*w^2 - 22*w - 33]', '[1777, 1777, -4*w^3 + w^2 + 16*w + 9]', '[1778, 1778, 3*w^3 - 9*w^2 - 11*w + 36]', '[1778, 1778, -w^3 + 3*w^2 + 5*w - 20]', '[1778, 1778, w^3 - 6*w^2 - 3*w + 28]', '[1778, 1778, w^3 + 6*w^2 - 3*w - 28]', '[1778, 1778, w^3 + 3*w^2 - 5*w - 20]', '[1778, 1778, -3*w^3 - 9*w^2 + 11*w + 36]', '[1783, 1783, 3*w^3 - 2*w^2 - 10*w - 1]', '[1783, 1783, -2*w^3 - 2*w^2 + 7*w - 1]', '[1783, 1783, 2*w^3 - 2*w^2 - 7*w - 1]', '[1783, 1783, -3*w^3 - 8*w^2 + 20*w + 41]', '[1784, 446, -w^3 + 2*w^2 + 4*w - 16]', '[1784, 446, -3*w^3 + 2*w^2 + 14*w - 8]', '[1784, 446, 3*w^3 + 2*w^2 - 14*w - 8]', '[1784, 446, 5*w^3 + 2*w^2 - 26*w - 26]', '[1792, 28, 4*w^3 - 4*w^2 - 20*w + 28]', '[1792, 28, -4*w - 4]', '[1792, 28, 4*w - 4]', '[1799, 1799, 3*w^3 - 6*w^2 - 12*w + 25]', '[1799, 1799, w^3 + 4*w^2 - 2*w - 17]', '[1799, 1799, w^3 + 5*w^2 - 5*w - 21]', '[1799, 1799, w^3 - 5*w^2 - 5*w + 21]', '[1799, 1799, -w^3 + 4*w^2 + 2*w - 17]', '[1799, 1799, -3*w^3 - 6*w^2 + 12*w + 25]', '[1817, 1817, -w^3 + 8*w - 3]', '[1817, 1817, 3*w^3 - 2*w^2 - 14*w + 11]', '[1817, 1817, -3*w^3 - 2*w^2 + 14*w + 11]', '[1817, 1817, w^3 - 8*w - 3]', '[1822, 1822, -8*w^3 + 11*w^2 + 41*w - 64]', '[1822, 1822, 4*w^3 - 9*w^2 - 23*w + 48]', '[1823, 1823, 2*w^3 - 12*w^2 + 41]', '[1823, 1823, 2*w^3 + 2*w^2 - 10*w - 5]', '[1823, 1823, -2*w^3 + 2*w^2 + 10*w - 5]', '[1823, 1823, 4*w^3 + 6*w^2 - 18*w - 29]', '[1825, 365, w^3 - w - 9]', '[1825, 365, w^3 + 4*w^2 - 3*w - 19]', '[1825, 365, -w^3 + w - 9]', '[1825, 365, -w^3 + 4*w^2 + 3*w - 19]', '[1828, 914, -w^3 + w^2 - 8]', '[1828, 914, 4*w^3 - w^2 - 18*w + 12]', '[1828, 914, 6*w^3 - 7*w^2 - 30*w + 40]', '[1828, 914, w^3 + w^2 - 8]', '[1831, 1831, w^3 + 5*w^2 - 19]', '[1831, 1831, -w^3 + 5*w^2 - 19]', '[1838, 1838, -3*w^3 + 6*w^2 + 17*w - 36]', '[1838, 1838, 11*w^3 - 12*w^2 - 55*w + 76]', '[1841, 1841, 2*w^3 + 7*w^2 - w - 13]', '[1841, 1841, -3*w^3 + 6*w^2 + 19*w - 35]', '[1841, 1841, -5*w^2 + 3*w + 15]', '[1841, 1841, -5*w^2 - 3*w + 15]', '[1841, 1841, -5*w^3 - 2*w^2 + 19*w - 7]', '[1841, 1841, -2*w^3 + 7*w^2 + w - 13]', '[1849, 43, 3*w^3 + 9*w^2 - 18*w - 41]', '[1849, 43, -w^3 - 7*w^2 + 8*w + 29]', '[1852, 926, w^3 - w^2 - 8*w + 2]', '[1852, 926, w^3 + w^2 - 8*w - 2]', '[1858, 1858, -5*w^3 + 6*w^2 + 27*w - 30]', '[1858, 1858, -15*w^3 + 20*w^2 + 79*w - 114]', '[1863, 69, 3*w + 9]', '[1863, 69, -3*w + 9]', '[1864, 466, w^3 + 2*w^2 - 8*w - 10]', '[1864, 466, 5*w^3 - 20*w - 12]', '[1864, 466, -w^3 + 4*w^2 - 16]', '[1864, 466, w^3 - 2*w^2 - 8*w + 10]', '[1871, 1871, -w^2 - w - 3]', '[1871, 1871, -w^2 + w - 3]', '[1874, 1874, -12*w^3 + 22*w^2 + 67*w - 116]', '[1874, 1874, 2*w^3 - 4*w^2 - 9*w + 24]', '[1886, 1886, -2*w^3 - 3*w^2 + 9*w + 8]', '[1886, 1886, -2*w^3 + 5*w^2 + 11*w - 20]', '[1886, 1886, 2*w^3 + 5*w^2 - 11*w - 20]', '[1886, 1886, 2*w^3 - 3*w^2 - 9*w + 8]', '[1889, 1889, -2*w^3 + 6*w^2 + 10*w - 27]', '[1889, 1889, 2*w^3 + 6*w^2 - 10*w - 27]', '[1897, 1897, -w^3 - 3*w^2 + 7*w + 9]', '[1897, 1897, 3*w^3 - w^2 - 12*w - 1]', '[1897, 1897, -3*w^3 + 2*w^2 + 12*w + 3]', '[1897, 1897, 2*w^3 - 11*w + 7]', '[1897, 1897, -w^3 - w^2 + 10*w + 13]', '[1897, 1897, w^3 - w^2 - 8*w + 7]', '[1897, 1897, -w^3 - w^2 + 8*w + 7]', '[1897, 1897, w^3 - w^2 - 10*w + 13]', '[1897, 1897, 2*w^3 - 11*w - 7]', '[1897, 1897, w^3 + w^2 - 9*w + 5]', '[1897, 1897, -3*w^3 - w^2 + 12*w - 1]', '[1897, 1897, -w^3 + 3*w^2 + 7*w - 9]', '[1904, 238, -2*w^3 + 2*w^2 + 8*w - 14]', '[1904, 238, -2*w^3 - 6*w^2 + 10*w + 26]', '[1904, 238, 2*w^3 - 4*w^2 - 8*w + 10]', '[1904, 238, -2*w^3 - 4*w^2 + 8*w + 10]', '[1904, 238, -2*w^3 + 6*w^2 + 10*w - 26]', '[1904, 238, 2*w^3 + 2*w^2 - 8*w - 14]', '[1912, 478, 7*w^3 + 2*w^2 - 30*w - 24]', '[1912, 478, 3*w^3 - 2*w^2 - 10*w + 4]', '[1922, 62, 3*w^3 - 7*w^2 - 19*w + 34]', '[1922, 62, 5*w^3 - 9*w^2 - 29*w + 46]', '[1928, 482, -w^3 - 4*w^2 + 4*w + 26]', '[1928, 482, w^3 - 4*w^2 - 4*w + 26]', '[1934, 1934, 3*w^3 - 9*w^2 - 19*w + 44]', '[1934, 1934, -5*w^3 + 7*w^2 + 25*w - 40]', '[1936, 22, -6*w^3 + 2*w^2 + 24*w + 10]', '[1936, 22, 2*w^3 + 2*w^2 - 12*w - 18]', '[1948, 974, -2*w^3 - 3*w^2 + 10*w + 10]', '[1948, 974, 2*w^3 - 3*w^2 - 10*w + 10]', '[1951, 1951, -5*w^2 - 5*w + 19]', '[1951, 1951, 2*w^3 + 11*w^2 - 16*w - 45]', '[1951, 1951, 2*w^3 - w^2 - 10*w - 3]', '[1951, 1951, 2*w^3 - 7*w^2 - 15*w + 33]', '[1967, 1967, 4*w^3 - 11*w^2 - 26*w + 49]', '[1967, 1967, -2*w^3 - 6*w^2 + 6*w + 23]', '[1967, 1967, w^3 + 4*w^2 + w - 9]', '[1967, 1967, 6*w + 13]', '[1967, 1967, 5*w^2 + w - 21]', '[1967, 1967, -2*w^3 + 4*w^2 + 8*w - 19]', '[1967, 1967, -2*w^3 - 4*w^2 + 8*w + 19]', '[1967, 1967, 5*w^2 - w - 21]', '[1967, 1967, w^3 - 4*w^2 - 9*w + 19]', '[1967, 1967, -2*w^3 + 2*w^2 + 8*w - 15]', '[1967, 1967, -2*w^3 + 6*w^2 + 6*w - 23]', '[1967, 1967, -8*w^3 + 7*w^2 + 39*w - 49]', '[1975, 395, 2*w^3 - 2*w^2 - 11*w + 17]', '[1975, 395, -2*w^3 - 6*w^2 + 9*w + 25]', '[1975, 395, -2*w^3 + 6*w^2 + 9*w - 25]', '[1975, 395, 2*w^3 + 2*w^2 - 11*w - 17]', '[1982, 1982, -3*w^3 + 8*w^2 + 17*w - 38]', '[1982, 1982, 3*w^3 - 10*w^2 - 19*w + 46]', '[1988, 994, -2*w^3 + 3*w^2 + 8*w - 2]', '[1988, 994, w^3 - 3*w^2 - 6*w + 8]', '[1988, 994, w^2 + 4*w]', '[1988, 994, -w^2 + 4*w]', '[1988, 994, -w^3 - 3*w^2 + 6*w + 8]', '[1988, 994, -2*w^3 - 3*w^2 + 8*w + 2]', '[1993, 1993, w^3 - 3*w^2 - w + 13]', '[1993, 1993, 7*w^3 + 3*w^2 - 31*w - 29]', '[1999, 1999, 2*w^3 + 6*w^2 - 14*w - 31]', '[1999, 1999, 4*w^3 - 16*w - 11]', '[2009, 287, -w^3 - 2*w^2 + 8*w + 9]', '[2009, 287, 4*w^2 + 3*w - 7]', '[2009, 287, -2*w^3 + 8*w^2 + 3*w - 21]', '[2009, 287, -w^3 + 2*w^2 - 7]', '[2009, 287, w^3 - 2*w^2 - 8*w + 9]', '[2009, 287, -4*w^2 + 3*w + 7]', '[2009, 287, -2*w^3 - 8*w^2 + 3*w + 21]', '[2009, 287, w^3 + 2*w^2 - 7]', '[2009, 2009, -4*w^3 + 2*w^2 + 17*w - 17]', '[2009, 2009, 2*w^3 - 2*w^2 - 7*w + 11]', '[2009, 2009, 2*w^3 + 2*w^2 - 7*w - 11]', '[2009, 2009, -4*w^3 - 2*w^2 + 17*w + 17]', '[2012, 1006, -8*w^3 + 13*w^2 + 42*w - 72]', '[2012, 1006, 2*w^3 - w^2 - 10*w - 2]', '[2012, 1006, 2*w^3 + w^2 - 10*w + 2]', '[2012, 1006, 6*w^3 - 13*w^2 - 34*w + 68]', '[2018, 2018, 2*w^3 + 2*w^2 - 11*w - 6]', '[2018, 2018, -3*w^3 + 2*w^2 + 15*w - 6]', '[2018, 2018, 3*w^3 + 2*w^2 - 15*w - 6]', '[2018, 2018, 2*w^3 - 2*w^2 - 11*w + 6]', '[2023, 119, -4*w^3 + 10*w^2 + 23*w - 49]', '[2023, 119, 2*w^3 - 8*w^2 - 13*w + 35]', '[2023, 119, -3*w^3 - 3*w^2 + 13*w + 13]', '[2023, 119, 2*w^3 + 2*w^2 - 13*w - 13]', '[2023, 119, 3*w^3 - 3*w^2 - 13*w + 13]', '[2023, 119, -2*w^3 + 2*w^2 + 13*w - 13]', '[2023, 2023, w + 7]', '[2023, 2023, -w^3 + w^2 + 2*w - 9]', '[2023, 2023, -4*w^3 - 2*w^2 + 19*w + 15]', '[2023, 2023, 4*w^3 - 2*w^2 - 19*w + 15]', '[2023, 2023, -w^3 - w^2 + 2*w + 9]', '[2023, 2023, -w + 7]', '[2025, 15, 3*w^3 - 3*w^2 - 12*w + 9]', '[2025, 15, 3*w^3 + 3*w^2 - 12*w - 9]', '[2032, 254, 4*w^3 + 2*w^2 - 20*w - 6]', '[2032, 254, -4*w^3 + 2*w^2 + 20*w - 6]', '[2039, 2039, w^3 - 7*w^2 - w + 23]', '[2039, 2039, 3*w^3 + 11*w^2 - 19*w - 47]', '[2044, 1022, w^2 + 4*w - 12]', '[2044, 1022, 4*w^3 - 9*w^2 - 24*w + 42]', '[2044, 1022, -2*w^3 - 3*w^2 + 8*w + 16]', '[2044, 1022, -2*w^3 + 3*w^2 + 8*w - 16]', '[2044, 1022, 6*w^3 - 7*w^2 - 32*w + 42]', '[2044, 1022, -w^2 + 4*w + 12]', '[2047, 2047, -2*w^3 + 7*w^2 + 14*w - 29]', '[2047, 2047, w^3 + 4*w^2 - 5*w - 25]', '[2047, 2047, -w^3 + 4*w^2 + 5*w - 25]', '[2047, 2047, -2*w^3 - 7*w^2 + 14*w + 29]', '[2048, 8, -4*w^3 + 8*w^2 + 24*w - 40]', '[2050, 410, -w^3 - 4*w^2 + 9*w + 22]', '[2050, 410, -w^3 + w + 6]', '[2050, 410, -w^3 + 4*w^2 + 9*w - 22]', '[2050, 410, -w^3 + w - 6]', '[2056, 514, -3*w^3 + 2*w^2 + 14*w - 10]', '[2056, 514, 3*w^3 + 2*w^2 - 14*w - 10]', '[2057, 187, -w^3 + 5*w^2 + 7*w - 29]', '[2057, 187, w^3 - 9*w^2 - 9*w + 41]', '[2057, 187, w^3 + 9*w^2 - 9*w - 41]', '[2057, 187, -w^3 - 5*w^2 + 7*w + 29]', '[2062, 2062, 13*w^3 - 18*w^2 - 69*w + 104]', '[2062, 2062, -w^3 + 3*w - 8]', '[2063, 2063, 2*w^3 + 7*w^2 - 10*w - 25]', '[2063, 2063, 4*w^3 + 3*w^2 - 19*w - 19]', '[2063, 2063, 6*w^3 + 5*w^2 - 29*w - 33]', '[2063, 2063, -2*w^3 + 7*w^2 + 10*w - 25]', '[2066, 2066, 4*w^3 - 9*w^2 - 25*w + 46]', '[2066, 2066, -3*w^3 - 3*w^2 + 13*w + 12]', '[2066, 2066, 3*w^3 - 3*w^2 - 13*w + 12]', '[2066, 2066, -5*w^2 - 5*w + 18]', '[2084, 1042, 7*w^3 - 7*w^2 - 34*w + 46]', '[2084, 1042, -3*w^3 + 7*w^2 + 18*w - 38]', '[2087, 2087, -w^3 + 2*w^2 + 2*w - 11]', '[2087, 2087, w^3 + 2*w^2 - 2*w - 11]', '[2089, 2089, w^3 + 9*w^2 - 9*w - 33]', '[2089, 2089, 3*w^3 - 5*w^2 - 11*w + 9]', '[2098, 2098, 12*w^3 - 21*w^2 - 67*w + 110]', '[2098, 2098, 4*w^3 - 5*w^2 - 23*w + 26]', '[2104, 526, 7*w^3 - 12*w^2 - 22*w + 26]', '[2104, 526, 3*w^3 + 8*w^2 - 14*w - 30]', '[2111, 2111, 3*w^3 + 2*w^2 - 13*w - 11]', '[2111, 2111, 7*w^3 + 2*w^2 - 31*w - 25]', '[2113, 2113, 2*w^3 + 3*w^2 - 11*w - 11]', '[2113, 2113, -2*w^3 + 3*w^2 + 11*w - 11]', '[2114, 2114, -w^3 - 5*w^2 + 3*w + 10]', '[2114, 2114, 3*w^3 - 4*w^2 - 9*w + 14]', '[2114, 2114, 5*w^3 - 13*w^2 - 15*w + 38]', '[2114, 2114, -5*w^3 - 13*w^2 + 15*w + 38]', '[2114, 2114, 3*w^3 + 4*w^2 - 9*w - 14]', '[2114, 2114, w^3 - 5*w^2 - 3*w + 10]', '[2116, 46, -5*w^2 + 22]', '[2116, 46, 5*w^2 - 18]', '[2116, 1058, -2*w^3 - 3*w^2 + 12*w + 22]', '[2116, 1058, 2*w^3 - 3*w^2 - 12*w + 22]', '[2126, 2126, 4*w^3 - 10*w^2 - 23*w + 48]', '[2126, 2126, w^3 - 3*w^2 - 3*w + 16]', '[2126, 2126, w^3 + 3*w^2 - 3*w - 16]', '[2126, 2126, -2*w^3 + 8*w^2 + 13*w - 36]', '[2129, 2129, 4*w^3 - w^2 - 19*w - 11]', '[2129, 2129, -4*w^3 + w^2 + 19*w - 15]', '[2129, 2129, 2*w^3 - 7*w^2 - 13*w + 29]', '[2129, 2129, -2*w^3 + 9*w^2 + 3*w - 25]', '[2143, 2143, 2*w^3 - 5*w^2 - 6*w + 19]', '[2143, 2143, -2*w^3 - 5*w^2 + 6*w + 19]', '[2153, 2153, -3*w^3 + w^2 + 9*w + 1]', '[2153, 2153, 3*w^3 + w^2 - 14*w - 3]', '[2153, 2153, 3*w^3 - w^2 - 14*w + 3]', '[2153, 2153, -w^3 + 11*w^2 - 5*w - 41]', '[2159, 2159, 5*w^3 - 6*w^2 - 25*w + 29]', '[2159, 2159, 3*w^3 + 6*w^2 - 19*w - 27]', '[2159, 2159, -3*w^3 + 6*w^2 + 19*w - 27]', '[2159, 2159, -5*w^3 - 6*w^2 + 25*w + 29]', '[2161, 2161, -2*w^3 + w^2 + 7*w - 9]', '[2161, 2161, 2*w^3 + w^2 - 7*w - 9]', '[2168, 542, w^3 + 4*w^2 - 8*w - 22]', '[2168, 542, -w^3 - 2*w^2 + 6*w + 16]', '[2168, 542, -w^3 + 2*w^2 + 6*w - 16]', '[2168, 542, -w^3 + 4*w^2 + 8*w - 22]', '[2174, 2174, 3*w^2 + 3*w - 16]', '[2174, 2174, 8*w^3 - 5*w^2 - 37*w + 40]', '[2176, 68, 2*w^3 - 4*w^2 - 12*w + 16]', '[2176, 68, 2*w^3 + 4*w^2 - 12*w - 16]', '[2177, 2177, -8*w^3 + 11*w^2 + 41*w - 63]', '[2177, 2177, -4*w^3 - 5*w^2 + 12*w + 13]', '[2177, 2177, w^3 + 2*w^2 - 7*w - 3]', '[2177, 2177, 4*w^3 + 3*w^2 - 14*w - 13]', '[2177, 2177, 3*w^3 - 6*w^2 - 15*w + 25]', '[2177, 2177, -2*w^3 + 12*w^2 + 16*w - 49]', '[2177, 2177, -6*w^2 - 2*w + 21]', '[2177, 2177, -3*w^3 - 6*w^2 + 15*w + 25]', '[2177, 2177, 4*w^3 - 3*w^2 - 14*w + 13]', '[2177, 2177, -w^3 + 2*w^2 + 7*w - 3]', '[2177, 2177, -4*w^3 + 5*w^2 + 12*w - 13]', '[2177, 2177, -2*w^3 + 7*w^2 + 13*w - 35]', '[2191, 2191, 2*w^3 + w^2 - 6*w - 7]', '[2191, 2191, 2*w^3 - 7*w^2 - 7*w + 23]', '[2191, 2191, -2*w^3 - 5*w^2 + 5*w + 9]', '[2191, 2191, 2*w^3 - 5*w^2 - 5*w + 9]', '[2191, 2191, -2*w^3 - 7*w^2 + 7*w + 23]', '[2191, 2191, 2*w^3 - w^2 - 6*w + 7]', '[2194, 2194, 2*w^3 - w^2 - 13*w + 2]', '[2194, 2194, -2*w^3 - w^2 + 13*w + 2]', '[2206, 2206, 9*w^3 - 16*w^2 - 51*w + 82]', '[2206, 2206, 7*w^3 - 10*w^2 - 39*w + 54]', '[2207, 2207, -2*w^3 + 4*w^2 + 8*w - 9]', '[2207, 2207, 2*w^3 + 4*w^2 - 8*w - 9]', '[2209, 47, -w^2 - 3]', '[2209, 47, w^2 - 11]', '[2212, 1106, -w^2 - 2*w - 4]', '[2212, 1106, 2*w^3 - 7*w^2 - 6*w + 24]', '[2212, 1106, w^3 + 3*w^2 - 2*w - 14]', '[2212, 1106, w^3 - 3*w^2 - 2*w + 14]', '[2212, 1106, -2*w^3 - 7*w^2 + 6*w + 24]', '[2212, 1106, -w^2 + 2*w - 4]', '[2225, 445, 4*w^3 + 5*w^2 - 19*w - 29]', '[2225, 445, -4*w^3 - 3*w^2 + 20*w + 17]', '[2225, 445, -4*w^3 + 5*w^2 + 19*w - 29]', '[2225, 445, -4*w^3 + 3*w^2 + 20*w - 17]', '[2231, 2231, -w^3 + 5*w^2 + 8*w - 25]', '[2231, 2231, w^3 + w^2 - 2*w - 11]', '[2231, 2231, -w^3 + w^2 + 2*w - 11]', '[2231, 2231, w^3 + 5*w^2 - 8*w - 25]', '[2248, 562, 5*w^3 + 8*w^2 - 24*w - 40]', '[2248, 562, 3*w^3 - 14*w + 2]', '[2248, 562, 3*w^3 - 14*w - 2]', '[2248, 562, 3*w^3 + 2*w^2 - 12*w - 10]', '[2254, 322, -2*w^3 - 3*w^2 + 7*w + 14]', '[2254, 322, 3*w^3 + 8*w^2 - 11*w - 28]', '[2254, 322, -w^3 + 2*w^2 + 3*w]', '[2254, 322, -w^3 + w^2 + w - 8]', '[2254, 322, 2*w^3 - 3*w^2 - 7*w + 14]', '[2254, 322, 3*w^3 - 8*w^2 - 11*w + 28]', '[2254, 322, w^3 + w^2 - w - 8]', '[2254, 322, -w^3 - 2*w^2 + 3*w]', '[2254, 2254, 3*w^3 - 5*w^2 - 11*w + 20]', '[2254, 2254, 3*w^3 - 13*w - 4]', '[2254, 2254, 3*w^3 - 13*w + 4]', '[2254, 2254, -3*w^3 - 5*w^2 + 11*w + 20]', '[2268, 42, -3*w^3 + 9*w^2 + 18*w - 42]', '[2268, 42, -3*w^3 - 3*w^2 + 12*w + 12]', '[2268, 42, 3*w^3 - 3*w^2 - 12*w + 12]', '[2272, 284, 2*w + 8]', '[2272, 284, -2*w + 8]', '[2273, 2273, 2*w^3 + 11*w^2 - 14*w - 43]', '[2273, 2273, 2*w^3 - 9*w^2 - 4*w + 27]', '[2276, 1138, -3*w^3 + w^2 + 12*w - 12]', '[2276, 1138, -w^3 - w^2 + 2*w + 10]', '[2276, 1138, -w^3 + w^2 + 2*w - 10]', '[2276, 1138, 3*w^3 - 9*w^2 - 20*w + 44]', '[2281, 2281, w^3 + 12*w^2 - 12*w - 47]', '[2281, 2281, -w^3 - 6*w^2 + 6*w + 23]', '[2296, 574, -w^3 + 6]', '[2296, 574, w^3 + 2*w^2 - 4*w]', '[2296, 574, -3*w^3 - 4*w^2 + 8*w + 6]', '[2296, 574, 3*w^3 - 4*w^2 - 8*w + 6]', '[2296, 574, w^3 - 2*w^2 - 4*w]', '[2296, 574, w^3 + 6]', '[2297, 2297, 2*w^2 + 3*w - 15]', '[2297, 2297, w^3 + w^2 - 8*w - 3]', '[2297, 2297, -w^3 + w^2 + 8*w - 3]', '[2297, 2297, 2*w^2 - 3*w - 15]', '[2300, 230, w^3 + w^2 - 8*w - 6]', '[2300, 230, -3*w^2 + 4*w + 16]', '[2300, 230, w^3 - w^2 - 8*w + 6]', '[2300, 230, -3*w^2 - 4*w + 16]', '[2306, 2306, 3*w^3 + w^2 - 11*w - 6]', '[2306, 2306, -3*w^3 + w^2 + 11*w - 6]', '[2308, 1154, w^3 + 5*w^2 - 8*w - 18]', '[2308, 1154, -w^3 + 5*w^2 + 8*w - 18]', '[2311, 2311, 4*w^2 - 5*w - 17]', '[2311, 2311, 4*w^2 + 5*w - 17]', '[2312, 34, -5*w^3 + 4*w^2 + 24*w - 26]', '[2312, 34, w^3 + 6*w^2 - 10*w - 26]', '[2312, 578, -w^3 + 8*w + 2]', '[2312, 578, -w^3 + 8*w - 2]', '[2336, 292, -6*w^3 + 12*w^2 + 34*w - 64]', '[2336, 292, -6*w^3 + 8*w^2 + 30*w - 48]', '[2351, 2351, 5*w^2 + 2*w - 25]', '[2351, 2351, 7*w^2 - 4*w - 23]', '[2351, 2351, 4*w^3 - w^2 - 18*w - 9]', '[2351, 2351, 5*w^2 - 2*w - 25]', '[2366, 182, 2*w^3 + w^2 - 11*w]', '[2366, 182, 2*w^3 - w^2 - 11*w]', '[2366, 182, -w^3 + 9*w + 6]', '[2366, 182, -3*w^3 - 2*w^2 + 13*w + 6]', '[2366, 182, 3*w^3 - 2*w^2 - 13*w + 6]', '[2366, 182, w^3 - 9*w + 6]', '[2372, 1186, -w^3 - 3*w^2 + 6*w + 4]', '[2372, 1186, w^3 - 3*w^2 - 6*w + 4]', '[2386, 2386, 12*w^3 - 17*w^2 - 63*w + 94]', '[2386, 2386, 4*w^3 - w^2 - 19*w + 10]', '[2393, 2393, -4*w^2 - 3*w + 9]', '[2393, 2393, 4*w^2 - 3*w - 9]', '[2396, 1198, w^3 - w^2 + 4]', '[2396, 1198, -w^3 - w^2 + 4]', '[2401, 7, 7]', '[2401, 49, 2*w^3 + 5*w^2 - 7*w - 21]', '[2401, 49, 2*w^3 - 5*w^2 - 7*w + 21]', '[2401, 49, -5*w^2 + 19]', '[2401, 49, -5*w^2 + 21]', '[2401, 49, w^3 - 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63*w + 114]', '[5348, 2674, -3*w^3 - 3*w^2 + 10*w + 14]', '[5348, 2674, 2*w^3 + 5*w^2 - 6*w - 8]', '[5348, 2674, -4*w^3 + 11*w^2 + 14*w - 36]', '[5348, 2674, 4*w^3 + 11*w^2 - 14*w - 36]', '[5348, 2674, -2*w^3 + 5*w^2 + 6*w - 8]', '[5348, 2674, -3*w^3 + 3*w^2 + 10*w - 14]', '[5359, 5359, 4*w^3 + 3*w^2 - 22*w - 23]', '[5359, 5359, 2*w^3 + 3*w^2 - 12*w - 9]', '[5359, 5359, -2*w^3 + 14*w - 11]', '[5359, 5359, -4*w^3 + 6*w^2 + 16*w - 17]', '[5359, 5359, -4*w^3 - 6*w^2 + 16*w + 17]', '[5359, 5359, -2*w^3 + 14*w + 11]', '[5359, 5359, 2*w^3 - 3*w^2 - 12*w + 9]', '[5359, 5359, 4*w^3 - 3*w^2 - 22*w + 23]', '[5372, 2686, 3*w^3 - 3*w^2 - 14*w + 24]', '[5372, 2686, -w^3 + 7*w^2 + 6*w - 32]', '[5372, 2686, -w^3 - 7*w^2 + 6*w + 32]', '[5372, 2686, 3*w^3 + 3*w^2 - 14*w - 24]', '[5383, 5383, w^3 + 7*w^2 - 5*w - 25]', '[5383, 5383, -6*w^3 + 6*w^2 + 29*w - 35]', '[5383, 5383, 3*w^3 - 9*w^2 - 11*w + 31]', '[5383, 5383, -3*w^3 - 9*w^2 + 11*w + 31]', '[5383, 5383, 6*w^3 - 2*w^2 - 27*w + 21]', '[5383, 5383, -w^3 + 7*w^2 + 5*w - 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5*w^2 + 18*w + 2]', '[9692, 4846, -5*w^3 + 3*w^2 + 26*w - 30]', '[9700, 970, -w^3 + 3*w^2 + 10*w - 2]', '[9700, 970, -5*w^3 + 3*w^2 + 26*w - 26]', '[9700, 970, -5*w^3 - 3*w^2 + 26*w + 26]', '[9700, 970, -w^3 - 3*w^2 + 10*w + 2]', '[9712, 1214, 2*w^3 + 8*w^2 - 10*w - 34]', '[9712, 1214, 2*w^2 + 6*w - 2]', '[9712, 1214, 2*w^2 - 6*w - 2]', '[9712, 1214, 2*w^3 - 8*w^2 - 10*w + 34]', '[9719, 9719, 8*w^2 - w - 27]', '[9719, 9719, 3*w^3 - 10*w - 11]', '[9719, 9719, -3*w^3 + 10*w - 11]', '[9719, 9719, 8*w^2 + w - 27]', '[9721, 9721, w^3 - 10*w^2 + 33]', '[9721, 9721, 3*w^3 + 16*w^2 - 22*w - 65]', '[9736, 2434, 5*w^3 + 4*w^2 - 24*w - 18]', '[9736, 2434, 5*w^3 - 4*w^2 - 24*w + 18]', '[9758, 9758, -3*w^3 - 7*w^2 + 15*w + 26]', '[9758, 9758, 5*w^3 - 13*w^2 - 29*w + 58]', '[9758, 9758, -5*w^3 - w^2 + 19*w + 14]', '[9758, 9758, 3*w^3 + 3*w^2 - 9*w - 14]', '[9758, 9758, w^3 - 3*w^2 - 9*w + 2]', '[9758, 9758, w^3 + 9*w^2 + 3*w - 26]', '[9758, 9758, w^3 - 9*w^2 + 3*w + 26]', '[9758, 9758, w^3 + 3*w^2 - 9*w - 2]', '[9758, 9758, 3*w^3 - 3*w^2 - 9*w + 14]', '[9758, 9758, -5*w^3 + w^2 + 19*w - 14]', '[9758, 9758, 5*w^3 + 13*w^2 - 29*w - 58]', '[9758, 9758, -3*w^3 + 7*w^2 + 15*w - 26]', '[9764, 4882, -3*w^2 - 2*w + 24]', '[9764, 4882, -3*w^2 + 2*w + 24]', '[9767, 9767, -w^3 + 4*w^2 + 2*w - 23]', '[9767, 9767, w^3 + 4*w^2 - 2*w - 23]', '[9775, 1955, -3*w^2 - w + 1]', '[9775, 1955, -2*w^3 + 5*w^2 + 12*w - 17]', '[9775, 1955, -4*w^3 + 9*w^2 + 22*w - 39]', '[9775, 1955, -4*w^3 - 7*w^2 + 18*w + 25]', '[9775, 1955, -4*w^3 - 9*w^2 + 22*w + 39]', '[9775, 1955, -4*w^3 + 7*w^2 + 18*w - 25]', '[9775, 1955, -3*w^2 + w + 1]', '[9775, 1955, -2*w^3 - 5*w^2 + 12*w + 17]', '[9778, 9778, -3*w^3 + 9*w^2 + 15*w - 40]', '[9778, 9778, -3*w^3 - 9*w^2 + 15*w + 40]', '[9784, 2446, w^3 + 8*w^2 - 4*w - 36]', '[9784, 2446, w^3 + 4*w^2 - 10*w - 26]', '[9784, 2446, -11*w^3 + 46*w + 30]', '[9784, 2446, -w^3 + 8*w^2 + 4*w - 36]', '[9788, 4894, 4*w^3 - 3*w^2 - 24*w + 26]', '[9788, 4894, 4*w^3 + 3*w^2 - 24*w - 26]', '[9793, 9793, 6*w^3 - 8*w^2 - 24*w + 33]', '[9793, 9793, -4*w^3 - 9*w^2 + 15*w + 27]', '[9793, 9793, -9*w^2 - 4*w + 35]', '[9793, 9793, -3*w^3 + 14*w^2 + 23*w - 63]', '[9793, 9793, -4*w^3 + 2*w^2 + 14*w - 5]', '[9793, 9793, 2*w^3 + 3*w^2 - 11*w - 1]', '[9793, 9793, -2*w^3 + 3*w^2 + 11*w - 1]', '[9793, 9793, -4*w^3 - 2*w^2 + 14*w + 5]', '[9793, 9793, -5*w^3 + 6*w^2 + 23*w - 35]', '[9793, 9793, -8*w^3 + 19*w^2 + 46*w - 91]', '[9793, 9793, 4*w^3 - 9*w^2 - 15*w + 27]', '[9793, 9793, 6*w^3 + 8*w^2 - 24*w - 33]', '[9799, 9799, 6*w^3 + 2*w^2 - 25*w - 19]', '[9799, 9799, 4*w^3 - 2*w^2 - 15*w + 9]', '[9799, 9799, -4*w^3 - 2*w^2 + 15*w + 9]', '[9799, 9799, 6*w^3 - 2*w^2 - 23*w - 5]', '[9800, 70, -5*w^3 + 8*w^2 + 26*w - 36]', '[9800, 70, -5*w^3 - 8*w^2 + 26*w + 36]', '[9800, 70, 3*w^3 - 8*w^2 - 14*w + 28]', '[9800, 70, -5*w^3 - 4*w^2 + 22*w + 28]', '[9800, 70, -5*w^3 + 2*w^2 + 24*w - 14]', '[9800, 70, 5*w^3 + 2*w^2 - 24*w - 14]', '[9800, 70, -5*w^3 + 4*w^2 + 22*w - 28]', '[9800, 70, 3*w^3 + 8*w^2 - 14*w - 28]', '[9800, 490, -w^3 - 8*w^2 + 2*w + 30]', '[9800, 490, 3*w^3 - 18*w - 8]', '[9800, 490, 3*w^3 - 18*w + 8]', '[9800, 490, w^3 - 8*w^2 - 2*w + 30]', '[9801, 33, -9*w^3 + 3*w^2 + 36*w + 15]', '[9801, 33, 3*w^3 + 3*w^2 - 18*w - 27]', '[9809, 9809, 2*w^3 - 11*w^2 - 18*w + 47]', '[9809, 9809, 4*w^3 + 3*w^2 - 16*w - 9]', '[9809, 9809, -4*w^3 + 3*w^2 + 16*w - 9]', '[9809, 9809, -2*w^3 - 11*w^2 + 18*w + 47]', '[9817, 9817, 3*w^3 + 5*w^2 - 11*w - 23]', '[9817, 9817, -3*w^3 + 5*w^2 + 11*w - 23]', '[9826, 34, -4*w^3 - 6*w^2 + 23*w + 26]', '[9826, 34, -4*w^3 + 6*w^2 + 23*w - 26]', '[9826, 578, 2*w^3 + 6*w^2 - 13*w - 22]', '[9826, 578, 2*w^3 - 6*w^2 - 13*w + 22]', '[9826, 9826, 4*w^3 + 8*w^2 - 21*w - 34]', '[9826, 9826, 4*w^3 - 8*w^2 - 21*w + 34]', '[9833, 9833, 5*w^3 + 3*w^2 - 21*w - 23]', '[9833, 9833, -w^3 - 11*w^2 + 13*w + 47]', '[9839, 9839, -w^3 - 2*w^2 + 5*w - 3]', '[9839, 9839, w^3 - 2*w^2 - 5*w - 3]', '[9871, 9871, -6*w^3 + w^2 + 22*w + 9]', '[9871, 9871, -2*w^3 + 9*w^2 - 33]', '[9881, 9881, 5*w^3 + 3*w^2 - 27*w - 29]', '[9881, 9881, -7*w^3 + 12*w^2 + 22*w - 23]', '[9881, 9881, 3*w^3 - 2*w^2 - 16*w - 9]', '[9881, 9881, -w^3 + 13*w^2 - 5*w - 43]', '[9884, 4942, 5*w^3 - 7*w^2 - 18*w + 22]', '[9884, 4942, -w^3 + 3*w^2 - 2*w - 6]', '[9884, 4942, 2*w^3 - 5*w^2 - 10*w + 14]', '[9884, 4942, 2*w^3 + 5*w^2 - 10*w - 14]', '[9884, 4942, w^3 + 3*w^2 + 2*w - 6]', '[9884, 4942, -5*w^3 - 7*w^2 + 18*w + 22]', '[9886, 9886, -13*w^3 + 22*w^2 + 73*w - 118]', '[9886, 9886, 3*w^3 - 8*w^2 - 21*w + 34]', '[9887, 9887, 4*w^3 + 8*w^2 - 18*w - 39]', '[9887, 9887, 20*w^2 - 14*w - 73]', '[9887, 9887, 2*w^3 - 2*w^2 - 12*w - 3]', '[9887, 9887, -4*w^3 + 8*w^2 + 18*w - 39]', '[9902, 9902, 2*w^3 - 8*w^2 - 9*w + 32]', '[9902, 9902, -2*w^3 - 8*w^2 + 9*w + 32]', '[9913, 9913, -4*w^3 + 8*w^2 + 19*w - 31]', '[9913, 9913, -2*w^3 - 4*w^2 + 11*w + 11]', '[9913, 9913, 2*w^3 - 4*w^2 - 11*w + 11]', '[9913, 9913, 4*w^3 + 8*w^2 - 19*w - 31]', '[9922, 902, w^2 - 3*w - 16]', '[9922, 902, -3*w^3 - 6*w^2 + 13*w + 18]', '[9922, 902, 3*w^3 - 6*w^2 - 13*w + 18]', '[9922, 902, w^2 + 3*w - 16]', '[9928, 2482, w^3 - 10*w^2 - 8*w + 46]', '[9928, 2482, 3*w^3 - 6*w^2 - 16*w + 38]', '[9928, 2482, -3*w^3 - 6*w^2 + 16*w + 38]', '[9928, 2482, -w^3 - 10*w^2 + 8*w + 46]', '[9929, 9929, 3*w^3 - w^2 - 9*w - 9]', '[9929, 9929, -3*w^3 - w^2 + 9*w - 9]', '[9934, 9934, 4*w^3 - 9*w^2 - 19*w + 46]', '[9934, 9934, -12*w^3 + 31*w^2 + 73*w - 150]', '[9938, 9938, 2*w^3 + 9*w^2 - 7*w - 30]', '[9938, 9938, -2*w^3 + 9*w^2 + 7*w - 30]', '[9952, 1244, 4*w^2 + 6*w - 16]', '[9952, 1244, 14*w^3 - 18*w^2 - 74*w + 104]', '[9952, 1244, 6*w^3 - 10*w^2 - 34*w + 48]', '[9952, 1244, 4*w^3 - 16*w^2 - 30*w + 72]', '[9959, 9959, -w^3 - 4*w^2 + 12*w + 27]', '[9959, 9959, 3*w^3 - 2*w^2 - 10*w + 13]', '[9959, 9959, -3*w^3 - 2*w^2 + 10*w + 13]', '[9959, 9959, w^3 - 4*w^2 - 12*w + 27]', '[9961, 9961, -6*w^3 - 12*w^2 + 19*w + 39]', '[9961, 9961, -2*w^3 + 4*w^2 + 3*w - 17]', '[9961, 9961, 7*w^3 + 3*w^2 - 29*w + 7]', '[9961, 9961, -5*w^3 + 11*w^2 + 27*w - 49]', '[9961, 9961, 2*w^3 + 4*w^2 - 3*w - 17]', '[9961, 9961, 6*w^3 - 12*w^2 - 19*w + 39]', '[9967, 9967, 4*w^3 + 5*w^2 - 18*w - 31]', '[9967, 9967, 7*w^3 + 2*w^2 - 31*w - 29]', '[9967, 9967, -5*w^3 - 6*w^2 + 27*w + 41]', '[9967, 9967, -4*w^3 + 5*w^2 + 18*w - 31]', '[9968, 1246, 4*w^3 - 4*w^2 - 20*w + 14]', '[9968, 1246, 2*w^3 - 14*w + 2]', '[9968, 1246, 4*w^3 - 2*w^2 - 16*w + 18]', '[9968, 1246, 4*w^3 + 2*w^2 - 16*w - 18]', '[9968, 1246, -2*w^3 + 14*w + 2]', '[9968, 1246, 4*w^3 + 4*w^2 - 20*w - 14]', '[9986, 9986, -6*w^3 + 8*w^2 + 29*w - 46]', '[9986, 9986, -2*w^3 + 4*w^2 + 5*w - 18]', '[9986, 9986, 2*w^3 + 4*w^2 - 5*w - 18]', '[9986, 9986, 4*w^3 - 14*w^2 - 27*w + 66]', '[9992, 2498, -7*w^3 + 6*w^2 + 24*w - 4]', '[9992, 2498, w^3 + 6*w^2 - 12*w - 32]', '[9998, 9998, 4*w^3 - 17*w - 4]', '[9998, 9998, 4*w^3 - 17*w + 4]', '[10000, 10, 10]', '[10000, 50, 2*w^3 + 4*w^2 - 10*w - 6]', '[10000, 50, 2*w^3 - 4*w^2 - 10*w + 6]'], 'label': '4.4.14336.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w^3 + w^2 + 5*w - 6]', '[7, 7, w^3 - w^2 - 5*w + 7]', '[7, 7, -w - 1]', '[7, 7, w - 1]', '[17, 17, w^2 - w - 5]', '[17, 17, w^2 + w - 5]', '[23, 23, -w - 3]', '[23, 23, w - 3]', '[25, 5, -w^3 + w^2 + 4*w - 3]', '[25, 5, -w^3 - w^2 + 4*w + 3]', '[41, 41, w^3 - 4*w - 1]', '[41, 41, -w^3 + 4*w - 1]', '[71, 71, -w^3 + 2*w^2 + 4*w - 9]', '[71, 71, w^3 + 2*w^2 - 4*w - 9]', '[73, 73, w^3 - w^2 - 5*w + 3]', '[73, 73, w^3 + w^2 - 5*w - 3]', '[79, 79, 2*w^2 - 2*w - 9]', '[79, 79, -2*w^3 + 8*w + 5]', '[81, 3, -3]', '[89, 89, -w^3 - 2*w^2 + 6*w + 13]', '[89, 89, w^3 - 2*w^2 - 6*w + 13]', '[97, 97, w^2 - 2*w - 5]', '[97, 97, 5*w^2 - 4*w - 19]', '[121, 11, -3*w^3 + w^2 + 12*w + 5]', '[121, 11, w^3 + w^2 - 6*w - 9]', '[127, 127, -2*w^3 - w^2 + 10*w + 3]', '[127, 127, 2*w^3 - w^2 - 10*w + 3]', '[151, 151, w^3 + 3*w^2 - 4*w - 9]', '[151, 151, -w^3 + 3*w^2 + 4*w - 9]', '[169, 13, -2*w^2 - w + 11]', '[169, 13, 2*w^2 - w - 11]', '[191, 191, 2*w^3 - 2*w^2 - 6*w + 3]', '[191, 191, -4*w^2 + 4*w + 17]', '[193, 193, 3*w^2 - w - 15]', '[193, 193, 2*w - 1]', '[193, 193, -2*w - 1]', '[193, 193, 3*w^2 + w - 15]', '[223, 223, w^3 - 6*w^2 - 9*w + 25]', '[223, 223, -5*w^2 + 3*w + 19]', '[223, 223, 2*w^3 + 5*w^2 - 11*w - 23]', '[223, 223, 2*w^3 + 3*w^2 - 8*w - 13]', '[233, 233, 3*w^3 + w^2 - 14*w - 13]', '[233, 233, w^3 - w^2 - 5*w + 1]', '[233, 233, -w^3 - w^2 + 5*w + 1]', '[233, 233, -w^3 + w^2 + 4*w + 1]', '[239, 239, w^3 - 5*w - 5]', '[239, 239, -w^3 + 5*w - 5]', '[241, 241, -2*w^3 - 7*w^2 + 14*w + 31]', '[241, 241, -2*w^3 - 3*w^2 + 12*w + 17]', '[257, 257, -4*w^2 + 2*w + 15]', '[257, 257, 2*w^3 + 6*w^2 - 12*w - 27]', '[263, 263, w^3 - w^2 - 2*w - 1]', '[263, 263, -w^3 - w^2 + 2*w - 1]', '[271, 271, 4*w^3 + 3*w^2 - 20*w - 23]', '[271, 271, w^2 + 2*w - 9]', '[271, 271, 3*w^2 - 3*w - 11]', '[271, 271, 3*w^2 - 2*w - 9]', '[281, 281, w^3 - w^2 - 7*w + 1]', '[281, 281, -w^3 + 6*w^2 + 8*w - 25]', '[281, 281, -w^3 + 4*w^2 + 6*w - 17]', '[281, 281, -w^3 + 4*w - 5]', '[289, 17, 3*w^2 - 13]', '[311, 311, -4*w^2 + w + 13]', '[311, 311, w^3 + 2*w^2 - 4*w - 11]', '[311, 311, -w^3 + 2*w^2 + 4*w - 11]', '[311, 311, -4*w^2 - w + 13]', '[313, 313, 3*w^3 - w^2 - 11*w - 3]', '[313, 313, w^3 - 3*w^2 - w + 11]', '[353, 353, 2*w^3 - w^2 - 9*w - 3]', '[353, 353, 5*w^2 - 3*w - 17]', '[359, 359, w^3 + 4*w^2 - 6*w - 15]', '[359, 359, -w^3 + 4*w^2 + 6*w - 15]', '[367, 367, -w^2 - w - 1]', '[367, 367, -2*w^3 - w^2 + 7*w + 1]', '[367, 367, 2*w^3 - w^2 - 7*w + 1]', '[367, 367, w^2 - w + 1]', '[401, 401, -2*w^3 + 8*w + 3]', '[401, 401, -w^3 + 2*w^2 + 3*w - 9]', '[401, 401, w^3 + 2*w^2 - 3*w - 9]', '[401, 401, -4*w^3 - 2*w^2 + 18*w + 17]', '[409, 409, 2*w^3 + 4*w^2 - 9*w - 19]', '[409, 409, 2*w^3 - 4*w^2 - 9*w + 19]', '[431, 431, w^3 - 6*w^2 - w + 19]', '[431, 431, w^3 + 6*w^2 - 7*w - 23]', '[433, 433, -6*w^2 + 6*w + 25]', '[433, 433, 2*w^3 - 4*w^2 - 4*w + 11]', '[439, 439, -w - 5]', '[439, 439, -w^3 + 3*w^2 + 4*w - 15]', '[439, 439, w^3 + 3*w^2 - 4*w - 15]', '[439, 439, w - 5]', '[457, 457, 2*w^3 + 2*w^2 - 7*w - 9]', '[457, 457, 3*w^3 + w^2 - 12*w - 9]', '[457, 457, 3*w^3 - 3*w^2 - 10*w + 5]', '[457, 457, -2*w^3 + 2*w^2 + 7*w - 9]', '[463, 463, 2*w^3 + w^2 - 9*w - 3]', '[463, 463, 2*w^3 - w^2 - 9*w + 3]', '[487, 487, -w^3 + w^2 + 6*w - 1]', '[487, 487, w^3 + w^2 - 6*w - 1]', '[503, 503, w^3 + 5*w^2 - 8*w - 23]', '[503, 503, w^3 + 3*w^2 - 6*w - 11]', '[503, 503, w^3 - 3*w^2 - 6*w + 11]', '[503, 503, -3*w^3 - 3*w^2 + 14*w + 19]', '[521, 521, -2*w^2 + 3*w + 11]', '[521, 521, 4*w^3 - 2*w^2 - 15*w - 3]', '[529, 23, -w^2 - 1]', '[569, 569, -w^3 + 5*w^2 - w - 19]', '[569, 569, w^3 - 3*w^2 - 3*w + 13]', '[569, 569, -w^3 - 3*w^2 + 3*w + 13]', '[569, 569, -3*w^3 + 3*w^2 + 9*w - 5]', '[577, 577, 2*w^3 - w^2 - 9*w - 1]', '[577, 577, -2*w^3 - w^2 + 9*w - 1]', '[593, 593, -w^3 + 4*w^2 + 5*w - 13]', '[593, 593, w^3 + 4*w^2 - 5*w - 13]', '[599, 599, -2*w^3 + 7*w + 1]', '[599, 599, 2*w^3 - 7*w + 1]', '[601, 601, -2*w^3 + 2*w^2 + 9*w - 5]', '[601, 601, 2*w^3 + 2*w^2 - 9*w - 5]', '[607, 607, w^3 + 4*w^2 - 5*w - 17]', '[607, 607, w^2 + 3*w - 1]', '[607, 607, w^2 - 3*w - 1]', '[607, 607, w^3 - 4*w^2 - 5*w + 17]', '[631, 631, -2*w^3 + 9*w - 1]', '[631, 631, 2*w^3 - 9*w - 1]', '[641, 641, -2*w^3 + w^2 + 8*w - 5]', '[641, 641, 2*w^3 - 8*w^2 - 2*w + 25]', '[641, 641, -2*w^2 + 4*w + 11]', '[641, 641, 2*w^3 + w^2 - 8*w - 5]', '[743, 743, -4*w^2 + w + 15]', '[743, 743, -4*w^2 - w + 15]', '[751, 751, -5*w^2 - 2*w + 15]', '[751, 751, -5*w^2 + 2*w + 15]', '[761, 761, w^3 + w^2 - 3*w - 9]', '[761, 761, -w^3 + w^2 + 3*w - 9]', '[769, 769, -2*w^3 + w^2 + 8*w - 3]', '[769, 769, 2*w^3 + w^2 - 8*w - 3]', '[809, 809, -w^3 + 7*w^2 + 10*w - 29]', '[809, 809, -w^3 + w^2 + 8*w - 9]', '[809, 809, w^3 + w^2 - 8*w - 9]', '[809, 809, w^3 - 3*w^2 - 8*w + 15]', '[823, 823, -w^3 + 2*w^2 + 2*w - 9]', '[823, 823, w^3 + 2*w^2 - 2*w - 9]', '[857, 857, 3*w^3 + w^2 - 14*w - 9]', '[857, 857, -3*w^3 + w^2 + 14*w - 9]', '[863, 863, 2*w^2 + 2*w - 13]', '[863, 863, 2*w^2 - 2*w - 13]', '[881, 881, 5*w^3 + 4*w^2 - 25*w - 29]', '[881, 881, w^3 + 4*w^2 - 7*w - 15]', '[911, 911, -2*w^3 + w^2 + 10*w - 1]', '[911, 911, 2*w^3 + w^2 - 10*w - 1]', '[919, 919, 3*w^3 - w^2 - 13*w - 1]', '[919, 919, -3*w^3 - w^2 + 13*w - 1]', '[929, 929, 2*w^3 - 3*w^2 - 9*w + 19]', '[929, 929, -2*w^3 - 3*w^2 + 9*w + 19]', '[937, 937, 2*w^3 - 4*w^2 - 11*w + 17]', '[937, 937, -2*w^3 - 4*w^2 + 11*w + 17]', '[961, 31, 4*w^2 - 15]', '[961, 31, 4*w^2 - 17]', '[967, 967, w^3 + 2*w^2 - 6*w - 5]', '[967, 967, -w^3 + 2*w^2 + 6*w - 5]', '[991, 991, w^2 - 3*w - 3]', '[991, 991, w^2 + 3*w - 3]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [14, 0, -8, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 14336, 'disc_rad': 14, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[2, 2]]], [7, [0]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[2, 1], [1, 2]]], [19, [[4, 1]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[2, 2]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 21.166010488516726, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.14336.1', 'local_algs': ['2.4.11.16', '7.1.0.1', '7.1.0.1', '7.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 7], 'rd': 10.9422591989, 'regulator': {'__RealLiteral__': 0, 'data': '9.01371174698', 'prec': 44}, 'res': {'gal': ['1,0,-12,0,24,0,-12,0,1'], 'sib': ['2,0,-8,0,1', '1,0,-12,0,24,0,-12,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - 5 \\)', '\\( a^{2} + a - 3 \\)', '\\( a^{3} - 2 a^{2} - 5 a + 9 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}