Hilbert modular form data - 4.4.4352.1-28.1-b

Formats: - HTML - YAML - JSON - 2024-05-04T08:18:51.066940

• 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': 4352, 'field_bad_primes': [2, 17], 'field_label': '4.4.4352.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.4352.1-28.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 7], 'level_ideal': '[28, 14, w^2 - 4]', 'level_label': '28.1', 'level_norm': 28, 'parallel_weight': 2, 'short_label': '28.1-b', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w]', -1], ['[7, 7, -w^3 + w^2 + 5*w + 1]', 1]], 'hecke_eigenvalues': [0, -1, -2, 0, 0, -6, -2, -8, -6, 0, -4, -12, 0, -10, 2, 10, -8, -2, 0, 6, -18, -6, 14, -10, 4, -2, 4, 4, 0, 6, -8, -2, 16, -8, -8, -8, -20, 16, 0, 18, 8, 14, 2, -4, -20, 16, -18, -6, -10, -22, -6, -6, 24, 0, -10, 0, -6, -10, 26, 8, 14, -22, 2, -32, -14, 0, 12, 12, -12, -6, 18, 24, 0, 14, -16, 38, 26, 16, 28, -12, 0, 2, -10, -28, -22, 16, -32, -14, 16, -6, 36, 16, 28, 0, -6, 36, -12, 38, 6, 18, 6, -6, 18, 36, -6, -6, 24, -24, 36, -24, 2, -46, -14, -32, -42, 6, 2, -18, 42, -34, 2, -36, 24, 0, 24, -44, -8, -18, -6, -32, 4, 0, 12, 42, -42, -48, -12, 0, -18, -42, 36, -12, -24, -12, -30, 30, 30, 6, -6, -30, -6, -22, 42, 30, 18, -54, 54, 24, -20, 52], 'hecke_polynomial': 'x', 'label': '4.4.4352.1-28.1-b'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 4352, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[4, 2, w^3 - w^2 - 4*w]', '[7, 7, -w^3 + w^2 + 5*w + 1]', '[7, 7, -w + 1]', '[8, 2, w^3 - 2*w^2 - 4*w + 2]', '[14, 14, w^3 - 2*w^2 - 3*w + 4]', '[14, 14, -w^2 + w + 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 4*w - 3]', '[23, 23, -2*w^3 + 2*w^2 + 9*w + 1]', '[23, 23, -w^3 + w^2 + 3*w + 1]', '[28, 14, w^2 - 4]', '[28, 14, 2*w^3 - 3*w^2 - 8*w + 2]', '[31, 31, w^2 - w - 1]', '[31, 31, w^3 - 2*w^2 - 3*w + 5]', '[32, 4, -2*w]', '[34, 34, w^2 - w - 6]', '[41, 41, w^3 - 3*w^2 - 2*w + 7]', '[41, 41, w^3 - 3*w^2 - 2*w + 5]', '[46, 46, -2*w^3 + 3*w^2 + 7*w - 4]', '[46, 46, w^3 - 5*w - 2]', '[49, 7, 2*w^3 - 2*w^2 - 8*w - 1]', '[49, 7, -2*w^3 + 2*w^2 + 8*w - 1]', '[49, 49, w^3 - w^2 - 6*w + 1]', '[49, 49, w^3 - w^2 - 6*w - 1]', '[56, 14, -w^3 + 2*w^2 + 2*w - 4]', '[56, 14, w^3 - 6*w - 2]', '[62, 62, 2*w^3 - 2*w^2 - 9*w - 2]', '[62, 62, -w^3 + w^2 + 3*w + 2]', '[64, 4, 2*w^3 - 2*w^2 - 8*w]', '[68, 34, -w^3 + w^2 + 6*w]', '[71, 71, -2*w^3 + 3*w^2 + 8*w - 1]', '[71, 71, w^2 - 5]', '[73, 73, -3*w^3 + 4*w^2 + 11*w - 3]', '[73, 73, 2*w^3 - w^2 - 9*w - 3]', '[79, 79, 3*w^3 - 4*w^2 - 13*w + 3]', '[79, 79, w^2 + w - 3]', '[81, 3, -3]', '[82, 82, 3*w^3 - 4*w^2 - 11*w + 2]', '[82, 82, 3*w^3 - 4*w^2 - 9*w + 2]', '[89, 89, -w^3 + 3*w^2 + 3*w - 11]', '[89, 89, 3*w^3 - 2*w^2 - 14*w - 3]', '[89, 89, -w^3 + 6*w + 7]', '[89, 89, 3*w^3 - 3*w^2 - 13*w + 1]', '[92, 46, w^2 - 6]', '[92, 46, 2*w^3 - 3*w^2 - 8*w]', '[97, 97, -w^3 + 2*w^2 + 3*w - 7]', '[97, 97, 2*w^3 - 3*w^2 - 8*w + 7]', '[98, 14, w^3 - 2*w^2 - w + 2]', '[98, 14, -w^3 + 2*w^2 + 7*w - 2]', '[98, 98, 2*w^3 - 2*w^2 - 7*w]', '[98, 98, 3*w^3 - 3*w^2 - 13*w]', '[103, 103, -2*w^3 + 3*w^2 + 7*w - 7]', '[103, 103, w^3 - 5*w - 1]', '[103, 103, 4*w^3 - 4*w^2 - 18*w + 3]', '[103, 103, 2*w^3 - 3*w^2 - 7*w + 5]', '[112, 14, -2*w^3 + 2*w^2 + 10*w + 2]', '[112, 14, -2*w + 2]', '[113, 113, -4*w^3 + 5*w^2 + 15*w - 5]', '[113, 113, w^2 - 3*w - 1]', '[119, 119, w^3 - 3*w^2 - w + 3]', '[119, 119, -2*w^2 + 3*w + 9]', '[124, 62, 2*w^3 - 3*w^2 - 6*w + 4]', '[124, 62, 2*w^3 - w^2 - 10*w - 2]', '[127, 127, -w^3 + 2*w^2 + 2*w - 5]', '[127, 127, 2*w^2 - w - 9]', '[127, 127, w^3 - 6*w - 1]', '[127, 127, -4*w^3 + 6*w^2 + 18*w - 9]', '[128, 4, 2*w^3 - 4*w^2 - 8*w + 4]', '[136, 34, -3*w^3 + 2*w^2 + 14*w + 4]', '[142, 142, -w^3 + 5*w]', '[142, 142, -3*w^3 + 4*w^2 + 9*w - 4]', '[146, 146, -4*w^3 + 7*w^2 + 15*w - 6]', '[146, 146, w^3 - 3*w^2 - 5*w + 4]', '[151, 151, -3*w^3 + 4*w^2 + 12*w - 1]', '[151, 151, 2*w^3 - 3*w^2 - 9*w + 1]', '[151, 151, w^3 - 4*w - 5]', '[151, 151, w^3 - 2*w^2 - 5*w + 5]', '[158, 158, 4*w^3 - 5*w^2 - 15*w + 6]', '[158, 158, -w^3 - w^2 + 3*w]', '[161, 161, -w^3 + 3*w^2 + 3*w - 5]', '[161, 161, -2*w^3 + 4*w^2 + 7*w - 7]', '[161, 161, -w^3 + 2*w^2 + 3*w + 1]', '[161, 161, -w^2 + w + 7]', '[162, 6, 3*w]', '[164, 82, w^3 + w^2 - 8*w - 6]', '[164, 82, -w^3 + 3*w^2 - 6]', '[167, 167, 5*w^3 - 5*w^2 - 23*w + 3]', '[167, 167, 4*w^3 - 6*w^2 - 16*w + 5]', '[169, 13, -2*w^3 + 4*w^2 + 7*w - 5]', '[169, 13, -w^3 + 3*w^2 + 3*w - 7]', '[178, 178, -2*w^3 + 5*w^2 + 5*w - 10]', '[178, 178, w^3 - 7*w - 4]', '[178, 178, w^3 - 4*w^2 - w + 8]', '[178, 178, 3*w^3 - 5*w^2 - 13*w + 6]', '[184, 46, -w^3 + 6*w]', '[184, 46, w^3 - 2*w^2 - 2*w + 6]', '[193, 193, w^2 - 3*w - 3]', '[193, 193, w^3 - 7*w - 3]', '[194, 194, -w^3 + 3*w^2 + 3*w - 6]', '[194, 194, 2*w^3 - 4*w^2 - 7*w + 6]', '[196, 14, -w^3 + w^2 + 4*w - 4]', '[196, 14, -3*w^3 + 3*w^2 + 12*w - 2]', '[196, 98, 3*w^3 - 5*w^2 - 12*w + 6]', '[196, 98, w^3 - 3*w^2 - 4*w + 6]', '[199, 199, 3*w^3 - 5*w^2 - 11*w + 9]', '[199, 199, 2*w^2 - w - 3]', '[206, 206, -w^2 - 3*w + 2]', '[206, 206, w^2 + w - 4]', '[206, 206, 3*w^3 - 4*w^2 - 13*w + 2]', '[206, 206, 3*w^3 - 5*w^2 - 13*w + 4]', '[217, 217, 3*w^3 - 5*w^2 - 12*w + 7]', '[217, 217, 3*w^3 - 3*w^2 - 15*w + 1]', '[217, 217, 3*w + 1]', '[217, 217, -w^3 + 3*w^2 + 4*w - 5]', '[224, 28, 2*w^3 - 4*w^2 - 6*w + 8]', '[224, 28, -2*w^2 + 2*w + 4]', '[226, 226, 3*w^3 - 3*w^2 - 11*w - 2]', '[226, 226, 3*w^3 - 4*w^2 - 13*w + 8]', '[233, 233, -2*w^3 + 5*w^2 + 7*w - 13]', '[233, 233, w^3 + w^2 - 8*w - 7]', '[238, 238, -w^3 + 2*w^2 + 5*w - 6]', '[238, 238, 2*w^3 - 3*w^2 - 9*w]', '[241, 241, -2*w^3 + 2*w^2 + 11*w + 1]', '[241, 241, 5*w^3 - 5*w^2 - 24*w + 1]', '[248, 62, -w^3 + 4*w + 6]', '[248, 62, 3*w^3 - 4*w^2 - 12*w]', '[254, 254, -3*w + 2]', '[254, 254, -3*w^3 + 4*w^2 + 11*w - 6]', '[254, 254, -2*w^3 + 4*w^2 + 9*w - 2]', '[254, 254, -2*w^3 + w^2 + 9*w]', '[256, 4, 4]', '[263, 263, -2*w^3 + w^2 + 10*w + 1]', '[263, 263, -2*w^3 + 3*w^2 + 9*w + 1]', '[263, 263, -w^3 + 2*w^2 + 5*w - 7]', '[263, 263, 2*w^3 - 3*w^2 - 6*w + 5]', '[272, 34, -2*w^3 + 4*w^2 + 8*w - 6]', '[284, 142, w^3 - w^2 - 2*w - 2]', '[284, 142, -3*w^3 + 3*w^2 + 14*w + 2]', '[287, 287, 4*w^3 - 7*w^2 - 11*w + 7]', '[287, 287, -w^3 - 2*w^2 + 7*w + 9]', '[287, 287, 4*w^3 - 7*w^2 - 13*w + 9]', '[287, 287, -3*w^3 + 17*w + 11]', '[289, 17, -3*w^3 + 3*w^2 + 12*w - 1]', '[289, 17, 3*w^3 - 3*w^2 - 12*w - 1]', '[292, 146, -w^2 + 2*w - 2]', '[292, 146, -w^2 + 2*w + 8]', '[302, 302, 3*w^3 - 3*w^2 - 9*w + 4]', '[302, 302, -2*w^2 + w + 2]', '[302, 302, -4*w^3 + 6*w^2 + 13*w - 6]', '[302, 302, 2*w^3 - w^2 - 9*w + 2]', '[311, 311, 3*w^3 - 5*w^2 - 12*w + 3]', '[311, 311, -w^3 + 3*w^2 + 4*w - 9]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 9]', '[313, 313, w^3 - w^2 - 7*w - 1]', '[316, 158, 2*w^3 - 3*w^2 - 10*w + 6]', '[316, 158, -2*w^3 + 3*w^2 + 10*w]', '[322, 322, -3*w^3 + 2*w^2 + 13*w + 2]', '[322, 322, -4*w^3 + 5*w^2 + 15*w - 4]', '[322, 322, w^3 - w^2 - 7*w]', '[322, 322, 2*w^3 - 2*w^2 - 11*w]', '[324, 6, -3*w^3 + 3*w^2 + 12*w]', '[328, 82, -w^3 + 2*w^2 + 2*w + 2]', '[328, 82, -3*w^3 + 6*w^2 + 10*w - 2]', '[334, 334, 4*w^3 - 5*w^2 - 17*w + 2]', '[334, 334, 6*w^3 - 8*w^2 - 21*w + 8]', '[337, 337, -4*w^3 + 5*w^2 + 15*w - 1]', '[337, 337, w^3 - w^2 - 3*w + 5]', '[338, 26, -3*w^3 + 3*w^2 + 11*w - 2]', '[338, 26, -4*w^3 + 5*w^2 + 13*w - 4]', '[343, 7, 3*w^3 - 4*w^2 - 15*w + 1]', '[343, 7, -2*w^3 + 3*w^2 + 11*w - 5]', '[343, 49, 3*w^3 - 2*w^2 - 15*w - 7]', '[343, 49, 2*w^3 - 3*w^2 - 5*w - 1]', '[343, 343, -w^3 - w^2 + 7*w + 5]', '[343, 343, 2*w^3 - 4*w^2 - 5*w + 7]', '[356, 178, -5*w^3 + 7*w^2 + 18*w - 4]', '[356, 178, w^2 + 2]', '[356, 178, 4*w^3 - 5*w^2 - 12*w + 2]', '[356, 178, 2*w^3 - 3*w^2 - 8*w + 8]', '[361, 19, -3*w^2 + 2*w + 11]', '[361, 19, 3*w^3 - w^2 - 14*w - 7]', '[367, 367, 4*w^3 - 6*w^2 - 14*w + 7]', '[367, 367, -2*w^3 + 10*w + 5]', '[368, 46, -4*w^3 + 4*w^2 + 18*w + 2]', '[368, 46, -2*w^3 + 2*w^2 + 6*w + 2]', '[383, 383, -2*w^3 + 4*w^2 + 6*w - 9]', '[383, 383, w^2 + w - 5]', '[383, 383, 2*w^2 - 2*w - 3]', '[383, 383, 3*w^3 - 4*w^2 - 13*w + 1]', '[386, 386, -w^3 + 3*w^2 + 3*w]', '[386, 386, w^2 - w + 2]', '[388, 194, -3*w^3 + 3*w^2 + 10*w - 2]', '[388, 194, 4*w^3 - 5*w^2 - 14*w + 4]', '[391, 391, -2*w^3 + 3*w^2 + 5*w - 5]', '[391, 391, 3*w^3 - 2*w^2 - 15*w - 1]', '[392, 14, -3*w^3 + 6*w^2 + 14*w - 6]', '[392, 14, -3*w^3 + 6*w^2 + 10*w - 6]', '[392, 98, w^3 - 2*w^2 - 4*w + 8]', '[392, 98, -w^3 + 2*w^2 + 4*w + 2]', '[398, 398, -2*w^3 + w^2 + 3*w]', '[398, 398, 5*w^3 - 7*w^2 - 21*w + 6]', '[401, 401, 3*w^3 - 3*w^2 - 11*w - 1]', '[401, 401, -4*w^3 + 4*w^2 + 17*w + 1]', '[412, 206, -w^3 - w^2 + 4*w]', '[412, 206, 2*w^3 - 3*w^2 - 6*w + 6]', '[412, 206, 4*w^3 - 5*w^2 - 14*w + 6]', '[412, 206, 2*w^3 - w^2 - 10*w]', '[431, 431, 2*w^2 - 3*w - 3]', '[431, 431, w^3 - 3*w^2 - w + 9]', '[433, 433, -4*w^3 + 5*w^2 + 15*w - 3]', '[433, 433, 3*w^3 - 2*w^2 - 13*w - 3]', '[433, 433, 3*w^3 - w^2 - 17*w - 9]', '[433, 433, -w^3 + 7*w + 9]', '[434, 434, -2*w^3 + 4*w^2 + 5*w]', '[434, 434, 4*w^3 - 5*w^2 - 15*w + 2]', '[434, 434, -3*w^3 + 2*w^2 + 13*w + 4]', '[434, 434, w^3 + w^2 - 7*w - 12]', '[439, 439, 5*w^3 - 7*w^2 - 17*w + 7]', '[439, 439, -3*w^3 + 4*w^2 + 15*w - 7]', '[448, 28, 2*w^2 - 8]', '[448, 28, 4*w^3 - 6*w^2 - 16*w + 4]', '[449, 449, 5*w^3 - 7*w^2 - 21*w + 13]', '[449, 449, 8*w^3 - 9*w^2 - 37*w + 7]', '[452, 226, 3*w^3 - 7*w^2 - 10*w + 6]', '[452, 226, 4*w^3 - 7*w^2 - 14*w + 8]', '[457, 457, 3*w^3 - 3*w^2 - 11*w + 1]', '[457, 457, -4*w^3 + 4*w^2 + 17*w - 1]', '[457, 457, w^3 - w^2 - 5*w - 5]', '[457, 457, w - 5]', '[463, 463, w^3 - w^2 - 2*w - 3]', '[463, 463, 3*w^3 - 3*w^2 - 14*w - 3]', '[463, 463, -3*w^3 + 2*w^2 + 12*w + 7]', '[463, 463, 5*w^3 - 6*w^2 - 20*w - 1]', '[466, 466, w^2 - w - 8]', '[466, 466, w^3 - 2*w^2 - 3*w - 2]', '[476, 238, -4*w^3 + 7*w^2 + 12*w - 8]', '[476, 238, 2*w^3 + w^2 - 12*w - 10]', '[479, 479, 4*w^3 - 3*w^2 - 19*w - 1]', '[479, 479, -2*w^3 + 4*w^2 + 6*w - 11]', '[482, 482, -3*w^3 + 3*w^2 + 11*w]', '[482, 482, 4*w^3 - 4*w^2 - 17*w]', '[487, 487, 5*w^3 - 6*w^2 - 22*w + 3]', '[487, 487, 4*w^3 - 5*w^2 - 16*w - 3]', '[496, 62, 2*w^2 - 2*w - 2]', '[496, 62, 2*w^3 - 4*w^2 - 6*w + 10]', '[497, 497, w + 5]', '[497, 497, 4*w^3 - 2*w^2 - 19*w - 7]', '[497, 497, -5*w^3 + 7*w^2 + 17*w - 5]', '[497, 497, -w^3 + w^2 + 5*w - 5]', '[503, 503, -2*w^2 + 4*w + 11]', '[503, 503, w^3 + 2*w^2 - 6*w - 13]', '[508, 254, -w^3 - w^2 + 6*w + 4]', '[508, 254, -4*w^3 + 3*w^2 + 20*w + 6]', '[508, 254, 3*w^3 - 5*w^2 - 10*w + 8]', '[508, 254, -4*w^3 + 7*w^2 + 18*w - 6]', '[511, 511, 3*w^3 - 4*w^2 - 14*w + 1]', '[511, 511, -7*w^3 + 11*w^2 + 26*w - 9]', '[511, 511, w^3 + 3*w^2 - 6*w - 15]', '[511, 511, w^3 - 2*w^2 - 6*w + 5]', '[512, 8, -4*w]', '[521, 521, -5*w^3 + 4*w^2 + 25*w + 3]', '[521, 521, -2*w^3 + w^2 + 12*w + 5]', '[526, 526, -w^3 + 2*w^2 + 7*w - 4]', '[526, 526, -3*w^3 + 3*w^2 + 7*w - 4]', '[526, 526, -2*w^3 + w^2 + 11*w - 2]', '[526, 526, 3*w^3 - 6*w^2 - 13*w + 4]', '[527, 527, -3*w^3 + 5*w^2 + 13*w - 3]', '[527, 527, -2*w^3 + 4*w^2 + 9*w - 9]', '[529, 23, -w^3 + w^2 + 4*w - 5]', '[529, 23, w^3 - w^2 - 4*w - 5]', '[529, 529, w^3 - 4*w^2 - 3*w + 11]', '[529, 529, 4*w^3 - 7*w^2 - 15*w + 7]', '[544, 68, 2*w^2 - 2*w - 12]', '[553, 553, 7*w^3 - 9*w^2 - 28*w + 9]', '[553, 553, 3*w^3 - w^2 - 12*w - 3]', '[553, 553, -3*w^3 + 4*w^2 + 12*w - 9]', '[553, 553, -w^3 + 4*w - 3]', '[567, 21, 3*w^3 - 3*w^2 - 15*w - 3]', '[567, 21, 3*w - 3]', '[568, 142, w^3 - 4*w^2 - 2*w + 2]', '[568, 142, -3*w^3 + 4*w^2 + 10*w - 6]', '[569, 569, -4*w^3 + 6*w^2 + 16*w - 13]', '[569, 569, 2*w^3 - w^2 - 10*w - 9]', '[569, 569, -2*w^3 + 3*w^2 + 7*w - 9]', '[569, 569, 9*w^3 - 9*w^2 - 41*w + 3]', '[574, 574, -4*w^3 + 4*w^2 + 15*w + 6]', '[574, 574, -5*w^3 + 5*w^2 + 21*w + 6]', '[574, 574, -5*w^3 + 7*w^2 + 19*w + 2]', '[574, 574, -2*w^3 + 9*w + 14]', '[578, 34, -3*w^3 + 6*w^2 + 13*w - 6]', '[578, 34, 3*w^3 - 6*w^2 - 11*w + 6]', '[584, 146, w^3 - 2*w^2 + 2*w]', '[584, 146, w^3 - 2*w^2 - 8*w]', '[593, 593, -4*w^3 + 5*w^2 + 20*w - 3]', '[593, 593, -7*w^3 + 8*w^2 + 33*w - 5]', '[593, 593, -7*w^3 + 9*w^2 + 29*w - 15]', '[593, 593, -5*w^3 + 6*w^2 + 20*w - 11]', '[599, 599, -8*w^3 + 9*w^2 + 36*w - 5]', '[599, 599, -8*w^3 + 10*w^2 + 36*w - 9]', '[599, 599, -w^3 - 2*w^2 + 5*w + 11]', '[599, 599, 3*w^3 - 5*w^2 - 12*w + 1]', '[601, 601, -6*w^3 + 8*w^2 + 23*w - 5]', '[601, 601, 3*w^3 - w^2 - 13*w - 7]', '[604, 302, w^3 - w^2 - 2*w - 4]', '[604, 302, -w^2 - 2*w + 4]', '[604, 302, -3*w^3 + 3*w^2 + 14*w + 4]', '[604, 302, 4*w^3 - 5*w^2 - 18*w + 2]', '[607, 607, 5*w^3 - 7*w^2 - 19*w + 9]', '[607, 607, -2*w^3 + 9*w + 3]', '[617, 617, -w^3 + 2*w^2 + 5*w + 3]', '[617, 617, -2*w^3 + 3*w^2 + 9*w - 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2]', '[1666, 1666, 5*w + 2]', '[1678, 1678, 2*w^3 - 4*w^2 - 13*w + 6]', '[1678, 1678, 4*w^3 - 8*w^2 - 19*w + 6]', '[1679, 1679, w^3 - w^2 - 8*w + 7]', '[1679, 1679, 3*w^3 - 3*w^2 - 16*w - 7]', '[1679, 1679, -7*w^3 + 12*w^2 + 24*w - 7]', '[1679, 1679, w^3 + 4*w^2 - 8*w - 23]', '[1681, 41, 5*w^3 - 5*w^2 - 20*w + 3]', '[1681, 41, 5*w^3 - 5*w^2 - 20*w - 3]', '[1681, 1681, 4*w^3 - 4*w^2 - 21*w - 1]', '[1681, 1681, 7*w^3 - 7*w^2 - 34*w + 1]', '[1687, 1687, 4*w^3 - 8*w^2 - 13*w + 17]', '[1687, 1687, -3*w^3 + 6*w^2 + 8*w - 11]', '[1687, 1687, -w^3 - 2*w^2 + 8*w + 7]', '[1687, 1687, -w^3 + 5*w^2 + w - 7]', '[1697, 1697, -4*w^3 + 5*w^2 + 16*w - 11]', '[1697, 1697, -5*w^3 + 8*w^2 + 19*w - 19]', '[1714, 1714, -w^2 + 5*w + 2]', '[1714, 1714, 3*w^3 - 5*w^2 - 5*w + 4]', '[1724, 862, 4*w^3 - 7*w^2 - 12*w + 10]', '[1724, 862, 2*w^3 + w^2 - 12*w - 8]', '[1726, 1726, 2*w^3 - 6*w^2 - w + 14]', '[1726, 1726, -7*w^3 + 9*w^2 + 25*w - 10]', '[1726, 1726, -3*w^3 + 4*w^2 + 15*w + 2]', '[1726, 1726, -2*w^3 - w^2 + 7*w]', '[1732, 866, -w^2 + 2*w - 4]', '[1732, 866, -w^2 + 2*w + 10]', '[1732, 866, -5*w^2 + 4*w + 20]', '[1732, 866, 4*w^3 - w^2 - 18*w - 10]', '[1736, 434, 7*w^3 - 10*w^2 - 24*w + 6]', '[1736, 434, -w^3 + 2*w^2 + 2*w + 4]', '[1736, 434, w^3 - 6*w - 10]', '[1736, 434, -5*w^3 + 2*w^2 + 24*w + 12]', '[1751, 1751, -2*w^3 + 5*w^2 + 8*w - 15]', '[1751, 1751, -4*w^3 + 6*w^2 + 19*w - 3]', '[1751, 1751, 5*w^3 - 4*w^2 - 25*w - 7]', '[1751, 1751, -3*w^3 + 5*w^2 + 15*w - 9]', '[1753, 1753, -6*w^3 + 8*w^2 + 25*w - 15]', '[1753, 1753, -4*w^3 + 3*w^2 + 16*w + 1]', '[1753, 1753, -3*w^3 + 5*w^2 + 10*w - 15]', '[1753, 1753, 6*w^3 - 7*w^2 - 24*w + 5]', '[1756, 878, 3*w^2 - 4*w]', '[1756, 878, -8*w^3 + 11*w^2 + 34*w - 10]', '[1762, 1762, -6*w^3 + 11*w^2 + 25*w - 10]', '[1762, 1762, -3*w^3 + 7*w^2 + 15*w - 8]', '[1774, 1774, -5*w^3 + 10*w^2 + 19*w - 6]', '[1774, 1774, -w^3 + 2*w^2 + 7*w - 6]', '[1778, 1778, -7*w^3 + 11*w^2 + 29*w - 12]', '[1778, 1778, 7*w^3 - 8*w^2 - 29*w + 2]', '[1778, 1778, w^3 - 5*w - 10]', '[1778, 1778, -w^3 + 7*w^2 - w - 26]', '[1778, 1778, 4*w^3 - 5*w^2 - 21*w + 2]', '[1778, 1778, 2*w^3 - 3*w^2 - 7*w - 4]', '[1778, 1778, 4*w^3 - 3*w^2 - 15*w - 4]', '[1778, 1778, 3*w^3 - 19*w - 14]', '[1792, 28, -4*w^3 + 4*w^2 + 20*w + 4]', '[1792, 28, -4*w + 4]', '[1796, 898, 7*w^3 - 9*w^2 - 26*w + 8]', '[1796, 898, 7*w^3 - 11*w^2 - 28*w + 12]', '[1801, 1801, -3*w^3 + 4*w^2 + 11*w - 11]', '[1801, 1801, 6*w^3 - 9*w^2 - 24*w + 19]', '[1801, 1801, -w^3 + w^2 + 3*w - 7]', '[1801, 1801, -2*w^3 + 2*w^2 + 9*w - 7]', '[1808, 226, -4*w^3 + 6*w^2 + 8*w - 6]', '[1808, 226, 2*w^2 - 6*w - 2]', '[1817, 1817, 5*w^3 - 6*w^2 - 18*w + 3]', '[1817, 1817, -5*w^3 + 7*w^2 + 22*w - 15]', '[1817, 1817, w^3 - 3*w^2 - 6*w - 3]', '[1817, 1817, 5*w^3 - 4*w^2 - 22*w - 3]', '[1822, 1822, 9*w^3 - 13*w^2 - 35*w + 16]', '[1822, 1822, 2*w^3 - 9*w^2 - 9*w + 6]', '[1828, 914, w^2 + 4]', '[1828, 914, -2*w^3 + 3*w^2 + 8*w - 10]', '[1828, 914, -4*w^3 + 3*w^2 + 16*w + 4]', '[1828, 914, -6*w^3 + 7*w^2 + 24*w - 2]', '[1831, 1831, 5*w^3 - 6*w^2 - 24*w + 1]', '[1831, 1831, -5*w^3 + 9*w^2 + 21*w - 19]', '[1841, 1841, -3*w^3 + 3*w^2 + 17*w - 3]', '[1841, 1841, -3*w^3 + 3*w^2 + 16*w - 9]', '[1841, 1841, -w^3 + w^2 + 8*w + 9]', '[1841, 1841, -5*w^3 + 6*w^2 + 16*w - 3]', '[1841, 1841, -2*w^3 + 2*w^2 + 13*w + 3]', '[1841, 1841, 2*w^3 - 6*w^2 - 7*w + 15]', '[1841, 1841, 7*w^3 - 6*w^2 - 32*w - 3]', '[1841, 1841, 5*w^3 - 9*w^2 - 19*w + 9]', '[1847, 1847, -6*w^3 + 7*w^2 + 25*w + 1]', '[1847, 1847, 3*w^3 - 2*w^2 - 11*w - 7]', '[1849, 43, -2*w^3 + w^2 + 13*w + 1]', '[1849, 43, w^3 - 9*w - 5]', '[1852, 926, -5*w^3 + 7*w^2 + 20*w - 2]', '[1852, 926, -w^3 - w^2 + 4*w + 10]', '[1852, 926, 5*w^3 - 5*w^2 - 22*w - 8]', '[1852, 926, -3*w^3 + 3*w^2 + 10*w + 8]', '[1858, 1858, -7*w^3 + 9*w^2 + 25*w - 8]', '[1858, 1858, -4*w^3 + 3*w^2 + 13*w - 2]', '[1863, 69, 6*w^3 - 6*w^2 - 27*w - 3]', '[1863, 69, 3*w^3 - 3*w^2 - 9*w - 3]', '[1864, 466, -5*w^3 + 4*w^2 + 22*w + 4]', '[1864, 466, -5*w^3 + 6*w^2 + 18*w - 2]', '[1871, 1871, -w^3 + 4*w^2 + 4*w - 13]', '[1871, 1871, -3*w^3 + 8*w^2 + 8*w - 23]', '[1871, 1871, 5*w^3 - 8*w^2 - 20*w + 5]', '[1871, 1871, 4*w^3 - 7*w^2 - 9*w + 1]', '[1873, 1873, -3*w^3 + 7*w^2 + 12*w - 15]', '[1873, 1873, -6*w^3 + 10*w^2 + 25*w - 17]', '[1879, 1879, -6*w^3 + 7*w^2 + 26*w - 1]', '[1879, 1879, 9*w^3 - 14*w^2 - 38*w + 27]', '[1879, 1879, 2*w^3 - w^2 - 6*w - 5]', '[1879, 1879, 3*w^3 - 3*w^2 - 17*w - 7]', '[1886, 1886, w^3 - w^2 - w - 8]', '[1886, 1886, 6*w^3 - 4*w^2 - 29*w - 12]', '[1886, 1886, 5*w^3 - 7*w^2 - 15*w]', '[1886, 1886, 4*w^3 - 4*w^2 - 19*w - 8]', '[1889, 1889, 4*w^3 - 8*w^2 - 13*w + 11]', '[1889, 1889, 4*w^3 - 9*w^2 - 11*w + 15]', '[1889, 1889, w^3 - 6*w^2 + w + 15]', '[1889, 1889, -w^3 + 5*w^2 + w - 13]', '[1904, 238, 2*w^3 - 6*w^2 - 2*w + 6]', '[1904, 238, -4*w^2 + 6*w + 18]', '[1906, 1906, -2*w^3 + 2*w^2 + 13*w - 2]', '[1906, 1906, 6*w^3 - 7*w^2 - 23*w + 6]', '[1906, 1906, 2*w^3 - 2*w^2 - w + 2]', '[1906, 1906, -5*w^3 + 5*w^2 + 15*w - 4]', '[1916, 958, 4*w^3 - 7*w^2 - 14*w + 16]', '[1916, 958, -5*w^3 + 3*w^2 + 24*w + 4]', '[1921, 1921, 4*w^3 - w^2 - 21*w - 19]', '[1921, 1921, -7*w^3 + 9*w^2 + 27*w - 7]', '[1922, 62, 4*w^3 - w^2 - 23*w - 12]', '[1922, 62, -4*w^3 + 8*w^2 + 15*w - 8]', '[1922, 1922, 3*w^3 - 7*w^2 - 9*w + 10]', '[1922, 1922, 2*w^3 - 6*w^2 - 5*w + 14]', '[1928, 482, w^3 - 2*w^2 - 4*w - 4]', '[1928, 482, w^3 - 2*w^2 - 4*w + 10]', '[1948, 974, 3*w^3 - 5*w^2 - 14*w + 12]', '[1948, 974, -5*w^3 + 5*w^2 + 18*w + 6]', '[1951, 1951, 2*w^3 - 5*w^2 - 4*w + 13]', '[1951, 1951, -5*w^3 + 4*w^2 + 24*w - 1]', '[1951, 1951, 3*w^2 - 4*w - 5]', '[1951, 1951, -8*w^3 + 11*w^2 + 33*w - 9]', '[1954, 1954, -3*w^3 + 7*w^2 + 9*w - 2]', '[1954, 1954, w^3 + 2*w^2 - 3*w + 2]', '[1954, 1954, -3*w^3 + 2*w^2 + 13*w - 6]', '[1954, 1954, -w^2 + w - 4]', '[1966, 1966, -2*w^3 + 3*w^2 + 13*w - 6]', '[1966, 1966, -3*w^3 + 7*w^2 + 15*w - 4]', '[1982, 1982, -5*w^3 + 5*w^2 + 11*w - 6]', '[1982, 1982, 4*w^3 - 8*w^2 - 21*w + 6]', '[1984, 124, 4*w^3 - 6*w^2 - 12*w + 8]', '[1984, 124, 4*w^3 - 2*w^2 - 20*w - 4]', '[1988, 994, 4*w^3 - 3*w^2 - 16*w - 2]', '[1988, 994, -3*w^2 + 4*w + 18]', '[1988, 994, 2*w^3 - 5*w^2 - 4*w]', '[1988, 994, -6*w^3 + 7*w^2 + 24*w - 4]', '[1993, 1993, 6*w^3 - 8*w^2 - 20*w + 5]', '[1993, 1993, -7*w^3 + 9*w^2 + 28*w - 17]', '[1993, 1993, 4*w^3 - 8*w^2 - 18*w + 13]', '[1993, 1993, 10*w^3 - 15*w^2 - 43*w + 23]', '[1999, 1999, 3*w^3 - w^2 - 13*w + 3]', '[1999, 1999, 6*w^3 - 8*w^2 - 23*w + 15]', '[2009, 287, -3*w^3 + w^2 + 18*w + 5]', '[2009, 287, -4*w^3 + 8*w^2 + 14*w - 15]', '[2009, 287, w^3 - 3*w^2 + 2*w + 7]', '[2009, 287, -2*w^3 + 6*w^2 + 6*w - 9]', '[2009, 2009, 6*w^3 - 4*w^2 - 28*w - 9]', '[2009, 2009, 6*w^3 - 8*w^2 - 20*w + 3]', '[2009, 2009, 4*w^3 - 2*w^2 - 16*w - 7]', '[2009, 2009, 8*w^3 - 10*w^2 - 32*w + 5]', '[2012, 1006, -2*w^3 + 7*w^2 + 6*w - 6]', '[2012, 1006, -4*w^3 + 7*w^2 + 16*w - 2]', '[2017, 2017, -6*w^3 + 7*w^2 + 24*w - 3]', '[2017, 2017, 4*w^3 - 3*w^2 - 16*w - 3]', '[2018, 2018, 2*w^3 - 7*w + 4]', '[2018, 2018, -2*w^3 + 9*w - 4]', '[2023, 119, w^3 + 2*w^2 - 5*w - 13]', '[2023, 119, w^3 - 4*w^2 - 5*w + 11]', '[2023, 119, 6*w^3 - 9*w^2 - 23*w + 5]', '[2023, 119, -6*w^3 + 9*w^2 + 25*w - 7]', '[2032, 254, -2*w^3 + 4*w^2 + 4*w - 10]', '[2032, 254, 4*w^2 - 2*w - 18]', '[2032, 254, 2*w^3 - 12*w - 2]', '[2032, 254, -2*w^3 + 4*w^2 + 14*w - 6]', '[2039, 2039, 2*w^3 + w^2 - 11*w - 7]', '[2039, 2039, 5*w^3 - 8*w^2 - 18*w + 13]', '[2039, 2039, 5*w^3 - 8*w^2 - 17*w + 11]', '[2039, 2039, w^3 + 2*w^2 - 6*w - 5]', '[2044, 1022, w^3 - 3*w^2 - 6*w + 8]', '[2044, 1022, w^3 - 3*w^2 + 4*w - 2]', '[2044, 1022, -5*w^3 + 3*w^2 + 28*w + 14]', '[2044, 1022, 5*w^3 - 7*w^2 - 22*w + 4]', '[2047, 2047, 4*w^3 - 3*w^2 - 21*w - 9]', '[2047, 2047, -6*w^3 + 9*w^2 + 22*w - 1]', '[2047, 2047, w^2 + 2*w - 7]', '[2047, 2047, 2*w^3 + w^2 - 10*w - 17]', '[2047, 2047, 9*w^3 - 12*w^2 - 35*w + 5]', '[2047, 2047, 4*w^3 - 5*w^2 - 18*w - 1]', '[2047, 2047, -4*w^3 + 8*w^2 + 16*w - 21]', '[2047, 2047, -4*w^3 + w^2 + 17*w + 13]', '[2048, 8, 4*w^3 - 8*w^2 - 16*w + 8]', '[2062, 2062, w^3 + 2*w^2 - 5*w]', '[2062, 2062, 5*w^3 - 6*w^2 - 17*w + 8]', '[2063, 2063, w^2 + 3*w - 5]', '[2063, 2063, 5*w^3 - 6*w^2 - 23*w + 1]', '[2066, 2066, -w^3 + 3*w^2 + w + 2]', '[2066, 2066, -6*w^3 + 6*w^2 + 19*w - 6]', '[2066, 2066, -2*w^3 + 5*w^2 + 7*w]', '[2066, 2066, 6*w^3 - 6*w^2 - 23*w + 6]', '[2078, 2078, 10*w^3 - 16*w^2 - 39*w + 14]', '[2078, 2078, -3*w^3 + 5*w^2 + 9*w - 10]', '[2078, 2078, -3*w^3 + 4*w^2 + 15*w + 4]', '[2078, 2078, 2*w^3 - 11*w - 2]', '[2081, 2081, w^3 - w^2 - 5*w - 7]', '[2081, 2081, w - 7]', '[2084, 1042, -5*w^3 + 9*w^2 + 18*w - 10]', '[2084, 1042, -4*w^3 + 9*w^2 + 14*w - 8]', '[2087, 2087, -4*w^3 + 4*w^2 + 19*w + 5]', '[2087, 2087, 4*w^3 - 6*w^2 - 13*w + 9]', '[2087, 2087, w^3 - w^2 - w - 5]', '[2087, 2087, -3*w^3 + w^2 + 15*w + 3]', '[2098, 2098, w^3 - 9*w - 2]', '[2098, 2098, 2*w^3 - w^2 - 13*w - 4]', '[2104, 526, -5*w^3 + 8*w^2 + 22*w - 6]', '[2104, 526, w^3 - 6*w^2 - 4*w + 4]', '[2104, 526, -7*w^3 + 10*w^2 + 26*w - 12]', '[2104, 526, -w^3 - 2*w + 2]', '[2108, 1054, w^2 + 4*w - 4]', '[2108, 1054, -6*w^3 + 7*w^2 + 28*w - 2]', '[2111, 2111, 4*w^3 - w^2 - 19*w - 7]', '[2111, 2111, 7*w^3 - 10*w^2 - 25*w + 11]', '[2113, 2113, -7*w^3 + 7*w^2 + 34*w - 3]', '[2113, 2113, -6*w^3 + 10*w^2 + 24*w - 23]', '[2114, 2114, -w^3 + 9*w + 4]', '[2114, 2114, 4*w^3 - 9*w^2 - 11*w + 12]', '[2114, 2114, 5*w^3 - 9*w^2 - 19*w + 16]', '[2114, 2114, -w^3 - 2*w^2 + 11*w + 6]', '[2114, 2114, -2*w^3 + 6*w^2 + 7*w - 8]', '[2114, 2114, 3*w^2 - 7*w - 12]', '[2114, 2114, 2*w^3 - w^2 - 13*w - 2]', '[2114, 2114, -w^3 + 6*w^2 - w - 18]', '[2116, 46, -5*w^3 + 5*w^2 + 20*w + 2]', '[2116, 46, -5*w^3 + 5*w^2 + 20*w - 2]', '[2116, 1058, 4*w^3 - 3*w^2 - 22*w - 6]', '[2116, 1058, w^2 - 6*w]', '[2137, 2137, -w - 7]', '[2137, 2137, -w^3 + w^2 + 5*w - 7]', '[2143, 2143, w^3 - w^2 - 3]', '[2143, 2143, -5*w^3 + 5*w^2 + 24*w + 3]', '[2143, 2143, 6*w^3 - 4*w^2 - 30*w - 11]', '[2143, 2143, 3*w^2 - w - 15]', '[2153, 2153, -w^3 + 6*w^2 + 2*w - 19]', '[2153, 2153, 7*w^3 - 12*w^2 - 26*w + 11]', '[2159, 2159, -6*w^3 + 8*w^2 + 26*w - 5]', '[2159, 2159, -2*w^2 - 2*w + 7]', '[2159, 2159, 6*w^3 - 5*w^2 - 28*w + 1]', '[2159, 2159, 3*w^3 - 6*w^2 - 9*w + 17]', '[2161, 2161, -2*w^3 + 6*w^2 + 5*w - 13]', '[2161, 2161, -8*w^3 + 11*w^2 + 29*w - 9]', '[2161, 2161, 5*w^3 - 2*w^2 - 23*w - 9]', '[2161, 2161, 3*w^3 - 7*w^2 - 9*w + 11]', '[2174, 2174, -5*w^3 + 5*w^2 + 17*w - 8]', '[2174, 2174, -10*w^3 + 13*w^2 + 37*w - 14]', '[2174, 2174, 6*w^3 - 8*w^2 - 25*w + 4]', '[2174, 2174, -2*w^3 - w^2 + 9*w - 2]', '[2176, 68, -6*w^3 + 4*w^2 + 28*w + 8]', '[2177, 2177, 7*w^3 - 4*w^2 - 33*w - 9]', '[2177, 2177, -w^3 + 3*w - 5]', '[2177, 2177, -4*w^3 + 5*w^2 + 17*w - 11]', '[2177, 2177, 8*w^3 - 11*w^2 - 27*w + 9]', '[2191, 2191, -3*w^3 - w^2 + 18*w + 13]', '[2191, 2191, -2*w^3 + 3*w^2 + 4*w - 11]', '[2191, 2191, 7*w^3 - 12*w^2 - 22*w + 13]', '[2191, 2191, 2*w^3 - 10*w + 1]', '[2194, 2194, -3*w^3 + 4*w^2 + 17*w - 2]', '[2194, 2194, 4*w^3 - 5*w^2 - 21*w + 4]', '[2194, 2194, -4*w^3 + 9*w^2 + 21*w - 10]', '[2194, 2194, -7*w^3 + 13*w^2 + 31*w - 12]', '[2201, 2201, -2*w^3 + 7*w^2 + 5*w - 21]', '[2201, 2201, -2*w^3 + w^2 + 13*w + 3]', '[2201, 2201, -w^3 + 9*w + 3]', '[2201, 2201, -5*w^3 + 10*w^2 + 17*w - 9]', '[2206, 2206, 3*w^2 + w - 10]', '[2206, 2206, -8*w^3 + 10*w^2 + 33*w - 4]', '[2206, 2206, 7*w^3 - 10*w^2 - 29*w + 8]', '[2206, 2206, -6*w^3 + 8*w^2 + 23*w - 12]', '[2207, 2207, 12*w^3 - 11*w^2 - 56*w + 1]', '[2207, 2207, -w^3 - 3*w^2 + 9*w + 11]', '[2209, 47, -w^3 + w^2 + 4*w - 7]', '[2209, 47, w^3 - w^2 - 4*w - 7]', '[2212, 1106, 5*w^3 - 5*w^2 - 24*w + 10]', '[2212, 1106, w^3 - w^2 + 10]', '[2212, 1106, -7*w^3 + 7*w^2 + 30*w - 4]', '[2212, 1106, -5*w^3 + 5*w^2 + 18*w - 4]', '[2231, 2231, -2*w^2 - w + 9]', '[2231, 2231, 5*w^3 - 7*w^2 - 21*w + 3]', '[2231, 2231, -7*w^3 + 10*w^2 + 28*w - 7]', '[2231, 2231, w^3 + 2*w^2 - 4*w - 11]', '[2239, 2239, 5*w^3 - 7*w^2 - 17*w + 9]', '[2239, 2239, 4*w^3 - 2*w^2 - 19*w - 3]', '[2254, 322, 7*w^3 - 9*w^2 - 27*w + 12]', '[2254, 322, 5*w^3 - 9*w^2 - 15*w + 12]', '[2254, 322, -2*w^3 - 2*w^2 + 13*w + 12]', '[2254, 322, -4*w^3 + 2*w^2 + 17*w]', '[2254, 2254, -4*w^3 - w^2 + 23*w + 18]', '[2254, 2254, 5*w^3 - 6*w^2 - 21*w - 2]', '[2254, 2254, 2*w^3 - w^2 - 7*w - 8]', '[2254, 2254, 7*w^3 - 12*w^2 - 21*w + 12]', '[2258, 2258, 3*w^3 - 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4*w - 15]', '[2302, 2302, w^3 - 5*w^2 - w + 2]', '[2302, 2302, 4*w^3 - 5*w^2 - 13*w + 8]', '[2306, 2306, -7*w^3 + 14*w^2 + 31*w - 12]', '[2306, 2306, -5*w^3 + 10*w^2 + 25*w - 12]', '[2311, 2311, -3*w^3 + 5*w^2 + 8*w - 9]', '[2311, 2311, -4*w^3 + 6*w^2 + 17*w - 1]', '[2311, 2311, -w^3 + 3*w^2 + 5*w - 11]', '[2311, 2311, -3*w^3 + w^2 + 16*w + 3]', '[2312, 34, -w^3 + 2*w^2 + 10*w - 2]', '[2312, 34, -w^3 + 2*w^2 - 2*w - 2]', '[2336, 292, -8*w^3 + 14*w^2 + 30*w - 12]', '[2336, 292, 2*w^3 - 6*w^2 - 10*w + 8]', '[2338, 2338, 3*w^3 - 2*w^2 - 19*w + 4]', '[2338, 2338, -2*w^3 + 4*w^2 + 7*w - 14]', '[2338, 2338, -6*w^3 + 11*w^2 + 21*w - 10]', '[2338, 2338, 9*w^3 - 12*w^2 - 35*w + 10]', '[2351, 2351, 3*w^3 - 3*w^2 - 8*w + 7]', '[2351, 2351, 7*w^3 - 7*w^2 - 32*w + 7]', '[2359, 2359, -w^3 - w^2 + 4*w + 11]', '[2359, 2359, -9*w^3 + 14*w^2 + 32*w - 9]', '[2359, 2359, -4*w^3 + 5*w^2 + 22*w + 3]', '[2359, 2359, 2*w^3 - 4*w^2 - 12*w + 7]', '[2366, 182, w^3 - w^2 - w - 6]', '[2366, 182, 3*w^2 - w - 16]', '[2366, 182, 5*w^3 - 8*w^2 - 19*w + 2]', '[2366, 182, 4*w^3 - 4*w^2 - 19*w - 6]', '[2369, 2369, -7*w^3 + 11*w^2 + 28*w - 13]', '[2369, 2369, -5*w^3 + 4*w^2 + 26*w + 1]', '[2369, 2369, 2*w^3 - 2*w^2 - 13*w + 1]', '[2369, 2369, -3*w^3 + 7*w^2 + 10*w - 15]', '[2369, 2369, 3*w^3 - 3*w^2 - 17*w - 1]', '[2369, 2369, 3*w^3 - 7*w^2 - 10*w + 9]', '[2369, 2369, -w^3 + 5*w^2 + 4*w - 11]', '[2369, 2369, -w^3 + 2*w^2 - 2*w - 5]', '[2372, 1186, -5*w^3 + 9*w^2 + 22*w - 14]', '[2372, 1186, -5*w^3 + 9*w^2 + 22*w - 10]', '[2372, 1186, -7*w^3 + 7*w^2 + 26*w - 8]', '[2372, 1186, -6*w^3 + 5*w^2 + 20*w - 6]', '[2377, 2377, 6*w^3 - 10*w^2 - 25*w + 11]', '[2377, 2377, -3*w^3 + 7*w^2 + 13*w - 13]', '[2383, 2383, -3*w^3 + 14*w + 15]', '[2383, 2383, 5*w^3 - w^2 - 24*w - 11]', '[2386, 2386, -6*w^3 + 7*w^2 + 21*w - 6]', '[2386, 2386, -5*w^3 + 5*w^2 + 17*w - 4]', '[2396, 1198, -w^2 + 6*w - 4]', '[2396, 1198, -2*w^3 + 3*w^2 + 14*w - 6]', '[2396, 1198, 3*w^3 - 7*w^2 - 14*w + 2]', '[2396, 1198, -3*w^3 + 3*w^2 + 8*w + 2]', '[2401, 7, 7]', '[2401, 49, 5*w^3 - 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w^2 - 12*w - 18]', '[2492, 1246, -6*w^3 + 5*w^2 + 24*w + 12]', '[2492, 1246, 5*w^3 - 7*w^2 - 24*w + 12]', '[2500, 10, -5*w^3 + 5*w^2 + 20*w]', '[2504, 626, -3*w^3 + 6*w^2 + 8*w]', '[2504, 626, 5*w^3 - 4*w^2 - 16*w + 4]', '[2511, 93, -3*w^2 + 3*w + 3]', '[2511, 93, -3*w^3 + 6*w^2 + 9*w - 15]', '[2521, 2521, -6*w^3 + 11*w^2 + 25*w - 21]', '[2521, 2521, -6*w^3 + 10*w^2 + 26*w - 15]', '[2527, 133, -w^3 + 2*w^2 + 7*w - 7]', '[2527, 133, -2*w^3 + 11*w + 1]', '[2527, 133, 4*w^3 - 5*w^2 - 19*w - 1]', '[2527, 133, 3*w^3 - 5*w^2 - 9*w + 11]', '[2528, 316, 8*w^3 - 10*w^2 - 30*w + 12]', '[2528, 316, -2*w^3 - 2*w^2 + 6*w]', '[2542, 2542, -w^3 + 8*w^2 - 5*w - 20]', '[2542, 2542, 3*w^3 + 4*w^2 - 23*w - 24]', '[2542, 2542, 6*w^3 - 13*w^2 - 13*w + 18]', '[2542, 2542, 4*w^3 - 11*w^2 - 7*w + 22]', '[2543, 2543, 4*w^3 - 4*w^2 - 20*w - 5]', '[2543, 2543, 4*w - 5]', '[2558, 2558, 5*w^3 - 7*w^2 - 15*w + 8]', '[2558, 2558, 6*w^3 - 7*w^2 - 19*w + 8]', '[2558, 2558, -3*w^2 + 3*w + 2]', '[2558, 2558, -3*w^3 + w^2 + 13*w - 2]', '[2564, 1282, -9*w^3 + 13*w^2 + 30*w - 10]', '[2564, 1282, 7*w^3 - 11*w^2 - 28*w + 14]', '[2567, 2567, 2*w^3 - 4*w^2 - 4*w + 11]', '[2567, 2567, -3*w^3 + w^2 + 13*w - 1]', '[2567, 2567, -6*w^3 + 8*w^2 + 23*w - 13]', '[2567, 2567, 2*w^3 - 12*w - 1]', '[2569, 2569, 5*w^3 - 3*w^2 - 20*w - 9]', '[2569, 2569, -2*w^3 + 2*w^2 + 13*w + 1]', '[2569, 2569, 6*w^3 - 7*w^2 - 23*w + 5]', '[2569, 2569, 3*w^3 - w^2 - 15*w - 15]', '[2576, 322, -2*w^3 + 6*w^2 + 6*w - 10]', '[2576, 322, -4*w^3 + 8*w^2 + 14*w - 14]', '[2576, 322, -2*w^3 + 4*w^2 + 6*w + 2]', '[2576, 322, -2*w^2 + 2*w + 14]', '[2578, 2578, -6*w^3 + 10*w^2 + 23*w - 12]', '[2578, 2578, -w^3 + 5*w^2 + 3*w - 12]', '[2591, 2591, 3*w^2 - 6*w - 1]', '[2591, 2591, -12*w^3 + 17*w^2 + 53*w - 25]', '[2592, 12, 6*w]', '[2594, 2594, 2*w^3 - 2*w^2 - 13*w]', '[2594, 2594, -3*w^3 + 3*w^2 + 17*w]', '[2599, 2599, w^3 + 4*w^2 - 8*w - 13]', '[2599, 2599, -5*w^3 + 9*w^2 + 13*w - 11]', '[2599, 2599, 6*w^3 - 9*w^2 - 23*w + 17]', '[2599, 2599, -w^3 + 3*w^2 + 7*w - 7]', '[2606, 2606, 7*w^3 - 10*w^2 - 23*w + 10]', '[2606, 2606, -w^3 - 2*w^2 + 5*w + 2]', '[2617, 2617, -9*w^3 + 12*w^2 + 33*w - 11]', '[2617, 2617, -2*w^3 + 2*w^2 + 14*w + 5]', '[2617, 2617, -7*w^3 + 13*w^2 + 22*w - 15]', '[2617, 2617, 6*w^3 - 3*w^2 - 27*w - 7]', '[2624, 164, 2*w^3 + 2*w^2 - 16*w - 12]', '[2624, 164, -2*w^3 + 6*w^2 - 12]', '[2638, 2638, 7*w^3 - 12*w^2 - 29*w + 10]', '[2638, 2638, 4*w^3 - 6*w^2 - 17*w]', '[2642, 2642, -5*w^3 + 9*w^2 + 19*w - 10]', '[2642, 2642, 4*w^3 - 9*w^2 - 15*w + 8]', '[2647, 2647, -6*w^3 + 10*w^2 + 26*w - 19]', '[2647, 2647, 6*w^3 - 7*w^2 - 29*w + 1]', '[2654, 2654, -2*w^2 - 3*w + 6]', '[2654, 2654, 8*w^3 - 14*w^2 - 29*w + 10]', '[2654, 2654, -3*w^3 + 4*w^2 + 17*w - 8]', '[2654, 2654, -8*w^3 + 11*w^2 + 29*w - 12]', '[2657, 2657, -7*w^3 + 8*w^2 + 28*w - 7]', '[2657, 2657, -5*w^3 + 4*w^2 + 20*w - 1]', '[2663, 2663, -4*w^3 + 7*w^2 + 12*w - 11]', '[2663, 2663, 2*w^3 + w^2 - 12*w - 7]', '[2671, 2671, -4*w^3 + 7*w^2 + 17*w - 3]', '[2671, 2671, -w^3 + 3*w^2 + 5*w - 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5]', '[4153, 4153, 3*w^3 - 6*w^2 - 11*w + 19]', '[4153, 4153, 3*w^2 - 4*w - 19]', '[4156, 2078, 3*w^3 - w^2 - 18*w + 4]', '[4156, 2078, -4*w^3 + 3*w^2 + 8*w - 6]', '[4156, 2078, -w^2 - 6*w + 4]', '[4156, 2078, -5*w^3 + 9*w^2 + 22*w - 6]', '[4159, 4159, -w^3 + 2*w^2 + 7*w - 11]', '[4159, 4159, 4*w^3 - 5*w^2 - 19*w - 5]', '[4162, 4162, w^3 - w^2 + 3*w + 2]', '[4162, 4162, -w^2 + 7*w]', '[4168, 1042, w^3 - 4*w - 12]', '[4168, 1042, 3*w^3 - 4*w^2 - 12*w - 6]', '[4174, 4174, -4*w^3 + 5*w^2 + 11*w - 8]', '[4174, 4174, w^3 - 5*w^2 + w + 2]', '[4174, 4174, -w^3 + 3*w^2 + 9*w - 6]', '[4174, 4174, 6*w^3 - 11*w^2 - 25*w + 8]', '[4177, 4177, -5*w^3 + 5*w^2 + 26*w - 3]', '[4177, 4177, -w^3 + w^2 + 10*w + 3]', '[4193, 4193, w^3 - 2*w^2 - 7*w - 7]', '[4193, 4193, 6*w^3 - 4*w^2 - 26*w - 11]', '[4193, 4193, 8*w^3 - 10*w^2 - 30*w + 1]', '[4193, 4193, 6*w^3 - 7*w^2 - 22*w + 3]', '[4193, 4193, 8*w^3 - 11*w^2 - 25*w + 7]', '[4193, 4193, -w^3 + 2*w^2 + 7*w - 15]', '[4193, 4193, -4*w^3 + 5*w^2 + 19*w - 13]', '[4193, 4193, 4*w^3 - 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21]', '[4718, 4718, -5*w^2 + 9*w + 10]', '[4718, 4718, -2*w^3 - 2*w^2 + 9*w + 6]', '[4718, 4718, 6*w^3 - 12*w^2 - 15*w + 16]', '[4718, 4718, 4*w^3 - 7*w^2 - 13*w + 16]', '[4721, 4721, -4*w^3 + 9*w^2 + 16*w - 19]', '[4721, 4721, -7*w^3 + 12*w^2 + 29*w - 21]', '[4729, 4729, 6*w^3 - 7*w^2 - 21*w + 3]', '[4729, 4729, -7*w^3 + 6*w^2 + 31*w + 3]', '[4732, 182, 3*w^3 - 5*w^2 - 8*w + 12]', '[4732, 182, w^3 - 5*w^2 + 2*w + 22]', '[4732, 182, -3*w^3 + w^2 + 16*w]', '[4732, 182, w^3 - 5*w^2 + 2*w + 2]', '[4738, 4738, -3*w^3 + 5*w^2 + 13*w - 16]', '[4738, 4738, -4*w^3 + 4*w^2 + 19*w - 10]', '[4738, 4738, -7*w^3 + 8*w^2 + 27*w - 6]', '[4738, 4738, 2*w^3 - 4*w^2 - 9*w - 4]', '[4738, 4738, 7*w^3 - 6*w^2 - 31*w - 4]', '[4738, 4738, 6*w^3 - 7*w^2 - 21*w + 2]', '[4738, 4738, 6*w^3 - 5*w^2 - 25*w]', '[4738, 4738, w^3 - w^2 - w + 10]', '[4744, 1186, -9*w^3 + 8*w^2 + 34*w - 10]', '[4744, 1186, -3*w^3 + 4*w^2 + 12*w - 12]', '[4744, 1186, -5*w^3 + 6*w^2 + 26*w - 4]', '[4744, 1186, -3*w^3 + 4*w^2 + 18*w - 2]', '[4751, 4751, 8*w^3 - 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5]', '[4831, 4831, 2*w^3 - 6*w^2 - 3*w + 19]', '[4832, 604, 6*w^3 - 6*w^2 - 18*w + 8]', '[4832, 604, -4*w^2 + 2*w + 4]', '[4832, 604, -8*w^3 + 12*w^2 + 26*w - 12]', '[4832, 604, 4*w^3 - 2*w^2 - 18*w + 4]', '[4834, 4834, 3*w^3 - 9*w^2 - 15*w + 8]', '[4834, 4834, 8*w^3 - 13*w^2 - 33*w + 14]', '[4846, 4846, -9*w^3 + 15*w^2 + 35*w - 12]', '[4846, 4846, -2*w^3 + 4*w^2 + 11*w - 10]', '[4846, 4846, -3*w^2 - 5*w + 6]', '[4846, 4846, 5*w^3 - 7*w^2 - 23*w + 2]', '[4856, 1214, 3*w^3 - 4*w^2 - 20*w + 8]', '[4856, 1214, -3*w^3 + 8*w^2 + 18*w - 4]', '[4868, 2434, 3*w^3 - 5*w^2 - 20*w + 6]', '[4868, 2434, -4*w^3 + 9*w^2 + 14*w - 10]', '[4871, 4871, 6*w^3 - 9*w^2 - 25*w + 5]', '[4871, 4871, 2*w^2 + w - 13]', '[4871, 4871, 5*w^3 - 7*w^2 - 21*w - 1]', '[4871, 4871, -w^3 + 4*w^2 + 5*w - 13]', '[4879, 4879, -13*w^3 + 18*w^2 + 47*w - 3]', '[4879, 4879, -8*w^3 + 3*w^2 + 37*w + 27]', '[4879, 4879, -15*w^3 + 24*w^2 + 49*w - 9]', '[4879, 4879, -8*w^3 - w^2 + 43*w + 45]', '[4882, 4882, -w^3 + 3*w^2 - 3*w - 4]', '[4882, 4882, -5*w^3 + 11*w^2 + 23*w - 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12*w - 5]', '[4991, 4991, -7*w^3 + 10*w^2 + 28*w - 5]', '[4991, 4991, -6*w^3 + 4*w^2 + 31*w + 13]', '[4991, 4991, 4*w^3 - w^2 - 21*w - 7]', '[4991, 4991, 5*w^3 - 8*w^2 - 15*w + 11]', '[4993, 4993, -7*w^3 + 10*w^2 + 28*w - 21]', '[4993, 4993, -5*w^3 + 7*w^2 + 19*w - 17]', '[5000, 10, -5*w^3 + 10*w^2 + 20*w - 10]', '[5008, 626, 4*w^3 - 10*w^2 - 10*w + 18]', '[5008, 626, 2*w^3 - 2*w^2 - 14*w - 2]', '[5009, 5009, -w^3 + w^2 + 6*w - 9]', '[5009, 5009, w^3 - w^2 - 6*w - 9]', '[5022, 186, -6*w^3 + 6*w^2 + 27*w + 6]', '[5022, 186, 3*w^3 - 3*w^2 - 9*w - 6]', '[5033, 5033, w^3 - 8*w - 13]', '[5033, 5033, -w^3 + 8*w - 7]', '[5033, 5033, 7*w^3 - 9*w^2 - 24*w + 5]', '[5033, 5033, 7*w^3 - 5*w^2 - 32*w - 7]', '[5039, 5039, 5*w^3 - 5*w^2 - 27*w - 7]', '[5039, 5039, -w^3 - 5*w^2 + 13*w + 27]', '[5041, 71, 6*w^3 - 6*w^2 - 24*w + 1]', '[5041, 71, -6*w^3 + 6*w^2 + 24*w + 1]', '[5041, 5041, -11*w^3 + 11*w^2 + 48*w - 7]', '[5041, 5041, -10*w^3 + 10*w^2 + 43*w - 7]', '[5042, 5042, -2*w^3 + 3*w^2 + 7*w - 12]', '[5042, 5042, -w^3 + 5*w - 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w^2 - 8*w - 13]', '[5084, 2542, 6*w^3 - 5*w^2 - 28*w - 12]', '[5084, 2542, 10*w^3 - 7*w^2 - 48*w - 16]', '[5084, 2542, -8*w^3 + 11*w^2 + 24*w - 2]', '[5084, 2542, -4*w^3 + 5*w^2 + 12*w + 6]', '[5086, 5086, 4*w^3 - 4*w^2 - 11*w + 8]', '[5086, 5086, -4*w^2 + 5*w]', '[5087, 5087, w^3 + 3*w^2 - 6*w - 23]', '[5087, 5087, 13*w^3 - 13*w^2 - 60*w + 7]', '[5087, 5087, 6*w^3 - 8*w^2 - 17*w + 1]', '[5087, 5087, 9*w^3 - 7*w^2 - 43*w - 11]', '[5113, 5113, -6*w^3 + 5*w^2 + 31*w + 3]', '[5113, 5113, -w^3 + 6*w^2 + w - 15]', '[5113, 5113, 6*w^3 - 4*w^2 - 32*w - 9]', '[5113, 5113, 5*w^3 - 4*w^2 - 18*w - 3]', '[5116, 2558, -2*w^3 + w^2 + 6*w + 8]', '[5116, 2558, -w^2 - 4*w + 6]', '[5116, 2558, -6*w^3 + 7*w^2 + 26*w + 2]', '[5116, 2558, -6*w^3 + 7*w^2 + 28*w]', '[5128, 1282, w^3 - 4*w^2 + 4*w + 4]', '[5128, 1282, 3*w^3 - 6*w^2 - 12*w + 20]', '[5134, 5134, -6*w^3 + 6*w^2 + 29*w + 4]', '[5134, 5134, -4*w^3 - 3*w^2 + 23*w + 32]', '[5134, 5134, -3*w^3 + 8*w^2 + 11*w - 24]', '[5134, 5134, 8*w^3 - 7*w^2 - 37*w - 8]', '[5138, 5138, -2*w^3 - 5*w^2 + 13*w + 24]', '[5138, 5138, -2*w^3 - w^2 + 7*w - 4]', '[5138, 5138, 9*w^3 - 14*w^2 - 39*w + 20]', '[5138, 5138, w^3 - 3*w^2 + 3*w + 6]', '[5152, 644, -6*w^3 + 4*w^2 + 26*w + 4]', '[5152, 644, -8*w^3 + 10*w^2 + 30*w - 8]', '[5152, 644, 2*w^3 - 2*w^2 - 14*w]', '[5152, 644, 4*w^3 - 4*w^2 - 22*w]', '[5153, 5153, 5*w^3 - 5*w^2 - 27*w - 3]', '[5153, 5153, -8*w^3 + 9*w^2 + 32*w + 1]', '[5153, 5153, 11*w^3 - 12*w^2 - 52*w + 7]', '[5153, 5153, -6*w^3 + 5*w^2 + 24*w + 7]', '[5156, 2578, -10*w^3 + 13*w^2 + 36*w - 12]', '[5156, 2578, -5*w^3 + 3*w^2 + 16*w - 2]', '[5177, 5177, 7*w^3 - 8*w^2 - 35*w + 9]', '[5177, 5177, 8*w^3 - 8*w^2 - 34*w - 3]', '[5177, 5177, 10*w^3 - 17*w^2 - 37*w + 15]', '[5177, 5177, -2*w^3 + 3*w^2 + 5*w + 7]', '[5182, 5182, -8*w^3 + 11*w^2 + 31*w - 16]', '[5182, 5182, 8*w^3 - 11*w^2 - 37*w + 18]', '[5183, 5183, -8*w^3 + 12*w^2 + 29*w - 15]', '[5183, 5183, w^3 + 2*w^2 - 3*w - 11]', '[5183, 5183, 8*w^3 - 11*w^2 - 33*w + 7]', '[5183, 5183, 3*w^3 + w^2 - 15*w - 9]', '[5184, 12, -6*w^3 + 6*w^2 + 24*w]', '[5188, 2594, 7*w^3 - 5*w^2 - 32*w - 8]', '[5188, 2594, -3*w^3 + w^2 + 12*w - 6]', '[5198, 5198, 6*w^3 - 4*w^2 - 25*w - 16]', '[5198, 5198, -w^2 - 3*w + 8]', '[5198, 5198, 9*w^3 - 14*w^2 - 33*w]', '[5198, 5198, -2*w^3 + 6*w^2 + 3*w - 20]', '[5201, 5201, w^3 - 6*w^2 - 2*w + 13]', '[5201, 5201, 5*w^3 - 9*w^2 - 10*w + 7]', '[5201, 5201, w^3 - 3*w^2 + 3*w + 5]', '[5201, 5201, 7*w^3 - 12*w^2 - 26*w + 17]', '[5207, 5207, -4*w^3 + 19*w + 9]', '[5207, 5207, -3*w^3 + 5*w^2 + 8*w - 13]', '[5207, 5207, w^3 - 5]', '[5207, 5207, 6*w^3 - 9*w^2 - 21*w + 13]', '[5207, 5207, 3*w^3 - w^2 - 16*w + 1]', '[5207, 5207, -11*w^3 + 17*w^2 + 44*w - 31]', '[5207, 5207, 3*w^3 - 15*w - 5]', '[5207, 5207, 7*w^3 - 8*w^2 - 32*w + 1]', '[5209, 5209, 8*w^3 - 14*w^2 - 29*w + 13]', '[5209, 5209, -4*w^3 + 9*w^2 + 6*w - 13]', '[5212, 2606, -w^3 + w^2 + 6]', '[5212, 2606, -5*w^3 + 5*w^2 + 24*w + 6]', '[5231, 5231, -7*w^3 + 8*w^2 + 33*w - 1]', '[5231, 5231, -4*w^3 + 9*w^2 + 16*w - 23]', '[5233, 5233, 5*w^3 - 10*w^2 - 22*w + 17]', '[5233, 5233, 7*w^3 - 12*w^2 - 30*w + 13]', '[5234, 5234, -12*w^3 + 21*w^2 + 47*w - 18]', '[5234, 5234, -5*w^3 + 4*w^2 + 17*w + 2]', '[5234, 5234, -10*w^3 + 11*w^2 + 43*w - 4]', '[5234, 5234, 3*w^3 - 9*w^2 - 17*w + 12]', '[5239, 403, -7*w^3 + 12*w^2 + 26*w - 7]', '[5239, 403, -5*w^3 + 7*w^2 + 22*w - 1]', '[5239, 403, -w^3 + 6*w^2 + 2*w - 23]', '[5239, 403, -w^3 + 3*w^2 + 6*w - 11]', '[5248, 164, -2*w^3 + 4*w^2 + 4*w + 4]', '[5248, 164, -6*w^3 + 12*w^2 + 20*w - 4]', '[5257, 5257, 10*w^3 - 17*w^2 - 36*w + 15]', '[5257, 5257, -2*w^3 + 6*w^2 - w - 13]', '[5257, 5257, -2*w^3 + 2*w^2 + 14*w + 1]', '[5257, 5257, -3*w^3 + 9*w^2 + 6*w - 19]', '[5273, 5273, -5*w^3 + 10*w^2 + 17*w - 17]', '[5273, 5273, -2*w^3 + 7*w^2 + 5*w - 13]', '[5276, 2638, 6*w^3 - 7*w^2 - 16*w + 8]', '[5276, 2638, 3*w^3 - w^2 - 16*w + 2]', '[5281, 5281, 8*w^3 - 9*w^2 - 33*w + 5]', '[5281, 5281, -5*w^3 + 4*w^2 + 19*w + 1]', '[5284, 2642, -2*w^3 + 3*w^2 + 8*w + 6]', '[5284, 2642, w^2 - 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10*w^2 - 34*w + 4]', '[5344, 668, 12*w^3 - 16*w^2 - 42*w + 16]', '[5359, 5359, -w^3 + 5*w^2 - 2*w - 21]', '[5359, 5359, -9*w^2 + 11*w + 37]', '[5359, 5359, w^3 - 8*w^2 + 5*w + 19]', '[5359, 5359, 4*w^3 - 2*w^2 - 21*w - 1]', '[5362, 5362, 4*w^3 - 7*w^2 - 15*w - 2]', '[5362, 5362, -w^3 + 4*w^2 + 3*w - 20]', '[5362, 5362, 2*w^2 - 7*w - 8]', '[5362, 5362, 3*w^3 - w^2 - 19*w - 4]', '[5362, 5362, 6*w^3 - 5*w^2 - 25*w - 6]', '[5362, 5362, -3*w^3 + 8*w^2 + 9*w - 12]', '[5362, 5362, 7*w^3 - 8*w^2 - 27*w]', '[5362, 5362, -4*w^3 + 9*w^2 + 13*w - 18]', '[5372, 2686, -10*w^3 + 13*w^2 + 40*w - 18]', '[5372, 2686, 4*w^3 - w^2 - 16*w]', '[5374, 5374, 3*w^2 + w - 12]', '[5374, 5374, 7*w^3 - 10*w^2 - 29*w + 6]', '[5374, 5374, 2*w^3 - 7*w - 10]', '[5374, 5374, -7*w^3 + 9*w^2 + 29*w - 2]', '[5378, 5378, 7*w^3 - 14*w^2 - 23*w + 12]', '[5378, 5378, -5*w^3 + 10*w^2 + 17*w - 12]', '[5384, 1346, 9*w^3 - 10*w^2 - 36*w + 10]', '[5384, 1346, w^3 - 6*w - 12]', '[5392, 674, -8*w^3 + 10*w^2 + 30*w - 2]', '[5392, 674, 2*w^3 - 2*w^2 - 6*w + 10]', '[5393, 5393, -4*w^3 + w^2 + 24*w + 9]', '[5393, 5393, -6*w^3 + 6*w^2 + 23*w - 3]', '[5393, 5393, -2*w^3 + 5*w^2 - 9]', '[5393, 5393, -7*w^3 + 7*w^2 + 29*w - 3]', '[5399, 5399, w^3 + 2*w^2 - 10*w - 1]', '[5399, 5399, -w^3 + 4*w^2 - 2*w - 17]', '[5404, 2702, -3*w^3 - w^2 + 16*w + 10]', '[5404, 2702, 7*w^3 - 11*w^2 - 22*w + 12]', '[5404, 2702, -5*w^3 + w^2 + 26*w + 12]', '[5404, 2702, 7*w^3 - 11*w^2 - 24*w + 14]', '[5408, 52, -6*w^3 + 6*w^2 + 22*w - 4]', '[5408, 52, -8*w^3 + 10*w^2 + 26*w - 8]', '[5417, 5417, -2*w^3 + 3*w^2 + 10*w - 13]', '[5417, 5417, -2*w^3 + 3*w^2 + 10*w + 7]', '[5422, 5422, 4*w^3 - 6*w^2 - 11*w + 10]', '[5422, 5422, 4*w^3 - 7*w^2 - 11*w + 12]', '[5422, 5422, -9*w^3 + 10*w^2 + 31*w - 12]', '[5422, 5422, 3*w^3 - 17*w - 6]', '[5426, 5426, 5*w^3 - 4*w^2 - 19*w - 2]', '[5426, 5426, 8*w^3 - 9*w^2 - 33*w + 4]', '[5431, 5431, -4*w^3 + 2*w^2 + 20*w + 1]', '[5431, 5431, 6*w^3 - 5*w^2 - 29*w - 9]', '[5431, 5431, 3*w^3 - 4*w^2 - 7*w - 3]', '[5431, 5431, 4*w^3 - 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17]', '[5508, 102, 3*w^3 - 3*w^2 - 18*w]', '[5518, 5518, -5*w^3 + w^2 + 23*w + 20]', '[5518, 5518, -10*w^3 + 14*w^2 + 37*w - 4]', '[5518, 5518, w^3 - 5*w^2 - 3*w + 20]', '[5518, 5518, 8*w^3 - 13*w^2 - 29*w + 2]', '[5518, 5518, 7*w^3 - 5*w^2 - 35*w - 12]', '[5518, 5518, w^3 + 4*w^2 - 7*w - 28]', '[5518, 5518, -2*w^3 + w^2 + 5*w + 6]', '[5518, 5518, 7*w^3 - 8*w^2 - 31*w]', '[5519, 5519, 3*w^3 + w^2 - 18*w - 11]', '[5519, 5519, -5*w^3 + 9*w^2 + 14*w - 13]', '[5534, 5534, 4*w^3 - 7*w^2 - 19*w + 2]', '[5534, 5534, -w^2 + 9*w - 4]', '[5534, 5534, -3*w^3 + 7*w^2 + 17*w - 2]', '[5534, 5534, -3*w^3 + 5*w^2 + 3*w]', '[5537, 791, -3*w^3 + 3*w^2 + 19*w + 5]', '[5537, 791, 9*w^3 - 16*w^2 - 22*w + 15]', '[5537, 791, -8*w^3 + 13*w^2 + 31*w - 15]', '[5537, 791, 7*w^3 - 8*w^2 - 24*w - 1]', '[5537, 5537, 2*w^3 - 2*w^2 - 9*w + 9]', '[5537, 5537, 8*w^3 - 9*w^2 - 26*w - 1]', '[5537, 5537, 5*w^3 - 4*w^2 - 27*w - 5]', '[5537, 5537, 7*w^3 - 6*w^2 - 29*w - 9]', '[5543, 5543, -2*w^3 - 2*w^2 + 10*w + 7]', '[5543, 5543, -8*w^3 + 12*w^2 + 30*w - 17]', '[5543, 5543, 6*w^3 - 9*w^2 - 19*w + 11]', '[5543, 5543, 5*w^3 - 2*w^2 - 25*w - 7]', '[5554, 5554, 9*w^3 - 11*w^2 - 35*w + 10]', '[5554, 5554, -10*w^3 + 16*w^2 + 39*w - 16]', '[5569, 5569, 11*w^3 - 14*w^2 - 44*w + 13]', '[5569, 5569, 8*w^3 - 14*w^2 - 30*w + 13]', '[5572, 2786, 5*w^3 - 11*w^2 - 18*w + 10]', '[5572, 2786, 7*w^3 - 7*w^2 - 36*w + 8]', '[5572, 2786, -w^3 + w^2 + 12*w + 8]', '[5572, 2786, -5*w^3 + 11*w^2 + 18*w - 26]', '[5576, 1394, -9*w^3 + 52*w + 36]', '[5576, 1394, -3*w^3 - 4*w^2 + 24*w + 28]', '[5582, 5582, -7*w^3 + 10*w^2 + 19*w - 10]', '[5582, 5582, -w^3 - 2*w^2 + 9*w + 2]', '[5596, 2798, w^2 + 8*w - 4]', '[5596, 2798, -3*w^3 + 3*w^2 + 8*w + 4]', '[5609, 5609, 10*w^3 - 11*w^2 - 43*w + 7]', '[5609, 5609, 13*w^3 - 21*w^2 - 53*w + 39]', '[5609, 5609, -w^3 + 2*w^2 + w - 13]', '[5609, 5609, -2*w^3 + w^2 + 11*w - 7]', '[5614, 5614, 3*w^3 - 8*w^2 - 5*w + 18]', '[5614, 5614, -4*w^3 + 8*w^2 + 7*w - 14]', '[5614, 5614, -5*w^3 + w^2 + 29*w + 10]', '[5614, 5614, 5*w^2 - 7*w - 12]', '[5618, 106, -2*w^3 + 13*w - 6]', '[5618, 106, -3*w^3 + 3*w^2 + 19*w - 4]', '[5639, 5639, 3*w^3 - 7*w^2 - 7*w + 17]', '[5639, 5639, 4*w^2 - 5*w - 7]', '[5641, 5641, 5*w^3 - 10*w^2 - 18*w + 11]', '[5641, 5641, -3*w^3 + 8*w^2 + 10*w - 19]', '[5647, 5647, 8*w^3 - 10*w^2 - 35*w + 5]', '[5647, 5647, w^3 + w^2 - w - 7]', '[5657, 5657, 10*w^3 - 11*w^2 - 48*w + 5]', '[5657, 5657, 6*w^3 - 5*w^2 - 25*w - 1]', '[5657, 5657, -7*w^3 + 8*w^2 + 27*w - 5]', '[5657, 5657, 7*w^3 - 8*w^2 - 35*w + 3]', '[5663, 5663, 6*w^3 - 4*w^2 - 33*w - 15]', '[5663, 5663, -w^3 + 3*w^2 + 7*w - 9]', '[5663, 5663, -6*w^3 + 8*w^2 + 27*w - 3]', '[5663, 5663, -w^3 + 3*w^2 - 5*w + 3]', '[5666, 5666, -2*w^3 + 6*w^2 + 7*w]', '[5666, 5666, 2*w^2 - 3*w + 4]', '[5678, 5678, -10*w^3 + 13*w^2 + 43*w - 10]', '[5678, 5678, -6*w^3 + 5*w^2 + 29*w - 4]', '[5689, 5689, 7*w^3 - 12*w^2 - 27*w + 13]', '[5689, 5689, -2*w^3 + 7*w^2 + 7*w - 17]', '[5692, 2846, 6*w^3 - 9*w^2 - 22*w + 16]', '[5692, 2846, 2*w^3 + w^2 - 10*w - 2]', '[5696, 356, -10*w^3 + 14*w^2 + 36*w - 8]', '[5696, 356, 2*w^2 + 4]', '[5696, 356, 8*w^3 - 10*w^2 - 24*w + 4]', '[5696, 356, 4*w^3 - 6*w^2 - 16*w + 16]', '[5704, 1426, -5*w^3 + 8*w^2 + 20*w - 20]', '[5704, 1426, -w^3 + 4*w^2 + 4*w + 2]', '[5704, 1426, -9*w^3 + 10*w^2 + 38*w - 6]', '[5704, 1426, 5*w^3 - 4*w^2 - 18*w]', '[5729, 5729, -4*w^3 + 9*w^2 + 19*w - 13]', '[5729, 5729, w^3 + w^2 - 11*w - 3]', '[5732, 2866, -3*w^3 + 3*w^2 + 14*w + 10]', '[5732, 2866, -3*w^2 + 8*w + 12]', '[5743, 5743, 8*w^3 - 13*w^2 - 34*w + 27]', '[5743, 5743, 8*w^3 - 12*w^2 - 27*w + 13]', '[5746, 442, -8*w^2 + 7*w + 34]', '[5746, 442, 3*w^3 - 8*w^2 - 9*w + 18]', '[5751, 213, -6*w^3 + 9*w^2 + 24*w - 3]', '[5751, 213, 3*w^2 - 15]', '[5752, 1438, -w^3 + 6*w^2 + 2*w - 4]', '[5752, 1438, -7*w^3 + 10*w^2 + 24*w - 12]', '[5756, 2878, -6*w^3 + 11*w^2 + 26*w - 8]', '[5756, 2878, w^3 - 3*w^2 - 10*w + 6]', '[5758, 5758, -2*w^3 + w^2 + w + 2]', '[5758, 5758, 7*w^3 - 11*w^2 - 29*w + 8]', '[5761, 5761, 9*w + 17]', '[5761, 5761, -9*w^3 + 9*w^2 + 45*w - 17]', '[5761, 5761, -5*w^3 + 3*w^2 + 17*w - 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2*w^2 + 9*w - 4]', '[5794, 5794, w^3 + 2*w^2 - w + 4]', '[5807, 5807, 4*w^3 - 5*w^2 - 20*w - 5]', '[5807, 5807, -2*w^3 + 3*w^2 + 12*w - 11]', '[5822, 5822, -w^3 - 2*w^2 - 3*w + 4]', '[5822, 5822, 3*w^3 - 19*w - 4]', '[5822, 5822, 7*w^3 - 10*w^2 - 33*w + 16]', '[5822, 5822, 9*w^3 - 14*w^2 - 37*w + 12]', '[5831, 119, -2*w^3 + 5*w^2 + 3*w - 17]', '[5831, 119, w^3 + 2*w^2 - 9*w - 1]', '[5831, 833, 7*w^3 - 11*w^2 - 23*w + 13]', '[5831, 833, -4*w^3 + 21*w + 11]', '[5831, 5831, w^3 - w - 7]', '[5831, 5831, 6*w^3 - 7*w^2 - 27*w - 1]', '[5842, 5842, -5*w^3 + 2*w^2 + 21*w + 8]', '[5842, 5842, w^3 - 2*w^2 - 3*w + 12]', '[5842, 5842, 5*w^3 - 10*w^2 - 19*w + 20]', '[5842, 5842, 7*w^3 - 7*w^2 - 35*w + 4]', '[5842, 5842, w^2 - w + 6]', '[5842, 5842, -10*w^3 + 13*w^2 + 39*w - 10]', '[5842, 5842, -7*w^3 + 3*w^2 + 39*w + 20]', '[5842, 5842, -4*w^3 + 9*w^2 + 15*w - 10]', '[5854, 5854, 6*w^3 - 12*w^2 - 23*w + 6]', '[5854, 5854, -5*w + 6]', '[5872, 734, -4*w^3 + 8*w^2 + 18*w - 2]', '[5872, 734, -4*w^3 + 20*w + 10]', '[5873, 5873, 5*w^3 - 6*w^2 - 27*w + 7]', '[5873, 5873, -4*w^3 + 9*w^2 + 17*w - 17]', '[5873, 5873, 7*w^3 - 12*w^2 - 29*w + 13]', '[5873, 5873, -4*w^3 + 5*w^2 + 23*w + 1]', '[5879, 5879, -2*w^3 + 5*w^2 + 11*w - 11]', '[5879, 5879, 7*w^3 - 10*w^2 - 31*w + 7]', '[5881, 5881, -2*w^3 + 2*w^2 + 5*w - 11]', '[5881, 5881, 6*w^3 - 5*w^2 - 33*w - 9]', '[5881, 5881, -7*w^3 + 7*w^2 + 35*w - 1]', '[5881, 5881, -7*w^3 + 6*w^2 + 36*w + 5]', '[5888, 92, -8*w^3 + 8*w^2 + 36*w + 4]', '[5888, 92, -4*w^3 + 4*w^2 + 12*w + 4]', '[5897, 5897, -3*w^3 + 8*w^2 + 10*w - 11]', '[5897, 5897, -5*w^3 + 10*w^2 + 18*w - 19]', '[5897, 5897, 7*w^3 - 12*w^2 - 26*w + 15]', '[5897, 5897, -w^3 + 6*w^2 + 2*w - 15]', '[5906, 5906, -6*w^3 + 6*w^2 + 19*w - 4]', '[5906, 5906, -8*w^3 + 10*w^2 + 29*w - 8]', '[5913, 219, -9*w^3 + 12*w^2 + 33*w - 9]', '[5913, 219, 9*w^3 - 15*w^2 - 33*w + 15]', '[5924, 2962, -9*w^3 + 11*w^2 + 36*w - 8]', '[5924, 2962, -5*w^3 + 3*w^2 + 20*w + 4]', '[5924, 2962, -4*w^3 + w^2 + 24*w + 12]', '[5924, 2962, -6*w^3 + 11*w^2 + 26*w - 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7*w - 3]', '[199, 199, 3*w^3 - 5*w^2 - 11*w + 9]', '[199, 199, 2*w^2 - w - 3]', '[233, 233, -2*w^3 + 5*w^2 + 7*w - 13]', '[233, 233, w^3 + w^2 - 8*w - 7]', '[241, 241, -2*w^3 + 2*w^2 + 11*w + 1]', '[241, 241, 5*w^3 - 5*w^2 - 24*w + 1]', '[263, 263, -2*w^3 + w^2 + 10*w + 1]', '[263, 263, -2*w^3 + 3*w^2 + 9*w + 1]', '[263, 263, -w^3 + 2*w^2 + 5*w - 7]', '[263, 263, 2*w^3 - 3*w^2 - 6*w + 5]', '[289, 17, -3*w^3 + 3*w^2 + 12*w - 1]', '[311, 311, 3*w^3 - 5*w^2 - 12*w + 3]', '[311, 311, -w^3 + 3*w^2 + 4*w - 9]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 9]', '[313, 313, w^3 - w^2 - 7*w - 1]', '[337, 337, -4*w^3 + 5*w^2 + 15*w - 1]', '[337, 337, w^3 - w^2 - 3*w + 5]', '[361, 19, -3*w^2 + 2*w + 11]', '[361, 19, 3*w^3 - w^2 - 14*w - 7]', '[367, 367, 4*w^3 - 6*w^2 - 14*w + 7]', '[367, 367, -2*w^3 + 10*w + 5]', '[383, 383, -2*w^3 + 4*w^2 + 6*w - 9]', '[383, 383, w^2 + w - 5]', '[383, 383, 2*w^2 - 2*w - 3]', '[383, 383, 3*w^3 - 4*w^2 - 13*w + 1]', '[401, 401, 3*w^3 - 3*w^2 - 11*w - 1]', '[401, 401, -4*w^3 + 4*w^2 + 17*w + 1]', '[431, 431, 2*w^2 - 3*w - 3]', '[431, 431, w^3 - 3*w^2 - w + 9]', '[433, 433, -4*w^3 + 5*w^2 + 15*w - 3]', '[433, 433, 3*w^3 - 2*w^2 - 13*w - 3]', '[433, 433, 3*w^3 - w^2 - 17*w - 9]', '[433, 433, -w^3 + 7*w + 9]', '[439, 439, 5*w^3 - 7*w^2 - 17*w + 7]', '[439, 439, -3*w^3 + 4*w^2 + 15*w - 7]', '[449, 449, 5*w^3 - 7*w^2 - 21*w + 13]', '[449, 449, 8*w^3 - 9*w^2 - 37*w + 7]', '[457, 457, 3*w^3 - 3*w^2 - 11*w + 1]', '[457, 457, -4*w^3 + 4*w^2 + 17*w - 1]', '[457, 457, w^3 - w^2 - 5*w - 5]', '[457, 457, w - 5]', '[463, 463, w^3 - w^2 - 2*w - 3]', '[463, 463, 3*w^3 - 3*w^2 - 14*w - 3]', '[463, 463, -3*w^3 + 2*w^2 + 12*w + 7]', '[463, 463, 5*w^3 - 6*w^2 - 20*w - 1]', '[479, 479, 4*w^3 - 3*w^2 - 19*w - 1]', '[479, 479, -2*w^3 + 4*w^2 + 6*w - 11]', '[487, 487, 5*w^3 - 6*w^2 - 22*w + 3]', '[487, 487, 4*w^3 - 5*w^2 - 16*w - 3]', '[503, 503, -2*w^2 + 4*w + 11]', '[503, 503, w^3 + 2*w^2 - 6*w - 13]', '[521, 521, -5*w^3 + 4*w^2 + 25*w + 3]', '[521, 521, -2*w^3 + w^2 + 12*w + 5]', '[529, 23, w^3 - w^2 - 4*w - 5]', '[569, 569, -4*w^3 + 6*w^2 + 16*w - 13]', '[569, 569, 2*w^3 - w^2 - 10*w - 9]', '[569, 569, -2*w^3 + 3*w^2 + 7*w - 9]', '[569, 569, 9*w^3 - 9*w^2 - 41*w + 3]', '[593, 593, -4*w^3 + 5*w^2 + 20*w - 3]', '[593, 593, -7*w^3 + 8*w^2 + 33*w - 5]', '[593, 593, -7*w^3 + 9*w^2 + 29*w - 15]', '[593, 593, -5*w^3 + 6*w^2 + 20*w - 11]', '[599, 599, -8*w^3 + 9*w^2 + 36*w - 5]', '[599, 599, -8*w^3 + 10*w^2 + 36*w - 9]', '[599, 599, -w^3 - 2*w^2 + 5*w + 11]', '[599, 599, 3*w^3 - 5*w^2 - 12*w + 1]', '[601, 601, -6*w^3 + 8*w^2 + 23*w - 5]', '[601, 601, 3*w^3 - w^2 - 13*w - 7]', '[607, 607, 5*w^3 - 7*w^2 - 19*w + 9]', '[607, 607, -2*w^3 + 9*w + 3]', '[617, 617, -w^3 + 2*w^2 + 5*w + 3]', '[617, 617, -2*w^3 + 3*w^2 + 9*w - 9]', '[625, 5, -5]', '[641, 641, -3*w^3 + 4*w^2 + 13*w - 9]', '[641, 641, 10*w^3 - 10*w^2 - 47*w + 3]', '[673, 673, 4*w^3 - 4*w^2 - 20*w + 1]', '[673, 673, -4*w^3 + 3*w^2 + 21*w + 5]', '[719, 719, -3*w^3 + 4*w^2 + 13*w + 1]', '[719, 719, w^2 + w - 7]', '[743, 743, 6*w^3 - 6*w^2 - 27*w + 5]', '[743, 743, w^3 - 4*w^2 - w + 5]', '[751, 751, 4*w^3 - 6*w^2 - 13*w + 7]', '[751, 751, 3*w^3 - w^2 - 15*w - 5]', '[809, 809, w^2 - 2*w - 9]', '[809, 809, w^2 - 2*w + 3]', '[823, 823, -2*w^3 + 3*w^2 + 12*w + 3]', '[823, 823, -4*w^3 + 5*w^2 + 20*w - 9]', '[839, 839, 3*w^3 - 2*w^2 - 14*w + 1]', '[839, 839, 3*w^3 - 4*w^2 - 10*w + 7]', '[857, 857, w^3 - 5*w - 9]', '[857, 857, 2*w^3 - 3*w^2 - 7*w - 3]', '[863, 863, -2*w^3 - w^2 + 10*w + 13]', '[863, 863, 2*w^2 + w - 7]', '[863, 863, -5*w^3 + 7*w^2 + 21*w - 5]', '[863, 863, w^3 + 3*w^2 - 10*w - 19]', '[881, 881, -4*w^3 + 3*w^2 + 17*w + 1]', '[881, 881, -5*w^3 + 6*w^2 + 19*w - 5]', '[887, 887, -3*w^3 + 5*w^2 + 8*w - 7]', '[887, 887, -3*w^3 + w^2 + 16*w + 5]', '[911, 911, 3*w^3 - 2*w^2 - 9*w - 3]', '[911, 911, 8*w^3 - 9*w^2 - 35*w + 3]', '[929, 929, -4*w^3 + 7*w^2 + 15*w - 9]', '[929, 929, -w^3 + 4*w^2 + 3*w - 9]', '[953, 953, -w^3 + 2*w^2 + 4*w - 9]', '[953, 953, w^3 - 2*w^2 - 4*w - 3]', '[953, 953, 3*w^3 - 6*w^2 - 11*w + 11]', '[953, 953, -2*w^3 + 5*w^2 + 7*w - 7]', '[961, 31, -4*w^3 + 4*w^2 + 16*w + 1]', '[977, 977, -w^3 + 3*w^2 - w - 5]', '[977, 977, -3*w^3 + 3*w^2 + 16*w - 1]', '[977, 977, -2*w^3 + 13*w + 7]', '[977, 977, w^3 - w^2 - 8*w - 1]', '[983, 983, -3*w^3 + 2*w^2 + 15*w - 1]', '[983, 983, -2*w^3 + 3*w^2 + 5*w - 7]', '[991, 991, -3*w^3 + 5*w^2 + 13*w + 1]', '[991, 991, 3*w^3 - 4*w^2 - 10*w + 9]']}
• 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': [2, -4, -6, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 4352, 'disc_rad': 34, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[4, 1]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 16.492422502470642, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.4352.1', 'local_algs': ['2.4.8.2', '17.2.1.2', '17.2.0.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 17], 'rd': 8.12217273948, 'regulator': {'__RealLiteral__': 0, 'data': '4.18167264383', 'prec': 44}, 'res': {'gal': ['2,-4,-14,16,27,-12,-14,0,1'], 'sib': ['2,0,-5,0,1', '2,-4,-14,16,27,-12,-14,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a^{2} - 4 a - 1 \\)', '\\( a + 1 \\)', '\\( a^{2} - a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}