Hilbert modular form data - 4.4.11348.1-8.4-c

Formats: - HTML - YAML - JSON - 2024-05-26T13:51:28.138701

• 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': 11348, 'field_bad_primes': [2, 2837], 'field_label': '4.4.11348.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.11348.1-8.4-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [2], 'level_ideal': '[8, 8, -w + 2]', 'level_label': '8.4', 'level_norm': 8, 'parallel_weight': 2, 'short_label': '8.4-c', '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]], 'hecke_eigenvalues': [0, 0, -2, 2, 4, -6, 2, -6, 0, -6, 8, -4, -10, 0, -14, -8, -12, -2, 4, 2, -2, 2, -8, -4, 0, -10, 6, 2, 0, -22, -10, -12, 12, 10, 12, 4, 8, 4, 6, -14, 10, -22, 24, -26, -4, -2, -16, -8, -4, -22, 8, 24, 0, 22, 14, -16, -2, 24, -24, 0, 6, -4, 26, 8, -10, 32, -16, -36, 10, 26, -24, -26, -12, 0, 10, -6, 32, -38, 28, -26, 10, -32, 32, 36, -24, -24, 6, -10, -4, -34, 32, -28, -30, 38, 0, -12, 10, 30, 20, 14, 14, 2, 20, 26, -16, -18, 10, 28, -24, 34, 30, -18, -8, -8, 22, -16, -18, 28, -42, 28, 44, -32, 6, 14, -48, 22, -6, 38, 14, -2, 18, -8, 20, 6, -22, -24, -38, -26, -12, 14, -16, -46, 30, -42, -48, 28, -6, -20, 24, -38, 0, -10, 24, -6, 18], 'hecke_polynomial': 'x', 'label': '4.4.11348.1-8.4-c'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 11348, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[4, 2, -w^3 + w^2 + 4*w - 2]', '[4, 2, -w^2 + 2*w + 1]', '[4, 4, w^3 - 2*w^2 - 4*w + 4]', '[7, 7, w^3 - w^2 - 4*w + 1]', '[8, 2, w^3 - 2*w^2 - 3*w + 4]', '[8, 2, -w^3 + w^2 + 5*w - 1]', '[8, 4, -w^3 + w^2 + 4*w]', '[8, 8, -w + 2]', '[14, 14, w^2 - 2]', '[14, 14, w^3 - 2*w^2 - 4*w + 3]', '[16, 2, 2]', '[16, 4, -w^3 + 2*w^2 + 3*w - 2]', '[16, 4, -w^3 + w^2 + 5*w + 1]', '[16, 8, -w^2 + w + 2]', '[16, 16, -w^2 + 2*w]', '[17, 17, -w^2 + w + 3]', '[19, 19, -2*w + 1]', '[28, 14, w^2 - 3*w]', '[28, 14, w^2 - 2*w - 3]', '[28, 28, w^3 - w^2 - 3*w - 2]', '[29, 29, -w^3 + w^2 + 2*w - 1]', '[31, 31, -w^3 + 2*w^2 + 3*w - 5]', '[32, 4, 2*w]', '[32, 4, -w^3 + w^2 + 3*w - 1]', '[32, 4, 2*w + 2]', '[32, 8, w^3 - 2*w^2 - 3*w + 6]', '[32, 16, -2*w^3 + 3*w^2 + 9*w - 6]', '[32, 32, -w^2 + 4]', '[34, 34, -w^3 + w^2 + 3*w]', '[34, 34, w^3 - 2*w^2 - 2*w + 3]', '[37, 37, -w^3 + 2*w^2 + 5*w - 5]', '[38, 38, w^3 - 2*w^2 - 2*w - 1]', '[38, 38, 2*w^3 - 2*w^2 - 9*w]', '[43, 43, -2*w^3 + 2*w^2 + 8*w + 3]', '[43, 43, -w^2 + 3*w + 1]', '[47, 47, -w^3 + 2*w^2 + 3*w - 1]', '[49, 49, w^2 - w + 1]', '[53, 53, -w^3 + w^2 + 6*w + 1]', '[56, 14, -w^3 + 3*w^2 + w - 3]', '[56, 14, w^3 - 2*w^2 - 3*w]', '[56, 28, w^2 - w - 6]', '[56, 56, 2*w^3 - 3*w^2 - 8*w + 4]', '[58, 58, w^3 - 2*w^2 - 4*w + 7]', '[58, 58, -2*w^3 + w^2 + 10*w + 2]', '[59, 59, 2*w^3 - 2*w^2 - 10*w + 3]', '[61, 61, w^3 - w^2 - 6*w + 3]', '[61, 61, w^2 + w - 3]', '[62, 62, -w - 3]', '[62, 62, w^3 - 2*w^2 - 4*w + 2]', '[64, 4, -2*w^3 + 2*w^2 + 8*w - 4]', '[64, 4, -w^3 - w^2 + 7*w + 5]', '[64, 4, -2*w^2 + 4*w + 2]', '[64, 8, 2*w^3 - 4*w^2 - 8*w + 8]', '[64, 16, -w^3 + 2*w^2 + 5*w - 2]', '[64, 32, w^3 - w^2 - 4*w + 4]', '[64, 64, -w^3 + 4*w]', '[68, 34, w^2 + 1]', '[68, 34, -2*w^3 + 3*w^2 + 9*w - 4]', '[68, 68, 2*w^3 - 3*w^2 - 8*w + 8]', '[71, 71, -w^3 + 5*w + 1]', '[71, 71, w^3 - w^2 - 4*w - 3]', '[74, 74, -w^3 + 3*w^2 + w - 4]', '[74, 74, w^3 - 6*w - 1]', '[76, 38, 2*w^3 - 3*w^2 - 7*w + 4]', '[76, 38, w^2 - 5]', '[76, 76, w^2 - 2*w - 4]', '[81, 3, -3]', '[83, 83, -3*w^3 + 5*w^2 + 12*w - 9]', '[83, 83, -3*w^3 + 6*w^2 + 13*w - 13]', '[86, 86, -2*w^3 + 4*w^2 + 3*w - 1]', '[86, 86, 2*w^3 - 4*w^2 - 7*w + 8]', '[86, 86, -w^2 + 6]', '[86, 86, -2*w^3 + 2*w^2 + 9*w - 3]', '[89, 89, w^2 - 3*w - 3]', '[94, 94, w^3 - 2*w^2 + 2]', '[94, 94, 3*w + 1]', '[97, 97, 2*w - 3]', '[98, 98, -w^3 - w^2 + 7*w + 8]', '[98, 98, -3*w^3 + 4*w^2 + 12*w - 5]', '[103, 103, -w^3 + w^2 + 2*w - 3]', '[106, 106, w^2 + 2*w + 2]', '[106, 106, -w^3 + 2*w^2 + 8*w + 3]', '[107, 107, 2*w^3 - 2*w^2 - 8*w + 5]', '[107, 107, -2*w^3 + 3*w^2 + 9*w - 9]', '[109, 109, -3*w^3 + 4*w^2 + 13*w - 9]', '[112, 14, 2*w^3 - 2*w^2 - 8*w + 2]', '[112, 28, -w^3 + 2*w^2 + 5*w - 6]', '[112, 28, -3*w^3 + 5*w^2 + 11*w - 11]', '[112, 56, w^3 - w^2 - 6*w]', '[112, 112, -w^3 + 2*w^2 + 2*w - 4]', '[116, 58, -w^2 + 2*w + 5]', '[116, 58, -w^3 + w^2 + 6*w - 2]', '[116, 116, -w^3 + 4*w + 4]', '[118, 118, 2*w^3 - 2*w^2 - 9*w - 1]', '[118, 118, w - 4]', '[119, 119, 2*w^3 - 2*w^2 - 10*w + 1]', '[122, 122, w^2 - 2*w + 2]', '[122, 122, w^3 + w^2 - 3*w]', '[122, 122, -w^3 + 2*w^2 + 4*w - 1]', '[122, 122, w^3 + 2*w^2 - 2*w - 3]', '[124, 62, 2*w^3 - 3*w^2 - 6*w + 1]', '[124, 62, -w^2 - 3*w]', '[124, 124, -w^3 + w^2 + w - 2]', '[128, 4, 2*w^3 - 4*w^2 - 6*w + 8]', '[128, 4, -2*w^3 + 2*w^2 + 10*w - 2]', '[128, 8, -2*w^3 + 2*w^2 + 8*w]', '[128, 8, w^3 - 3*w^2 + w + 3]', '[128, 16, -2*w + 4]', '[128, 32, -w^3 + 7*w + 2]', '[128, 64, w^3 - 3*w^2 + 4]', '[128, 128, -2*w^3 + 2*w^2 + 7*w + 2]', '[133, 133, -w^3 + 7*w - 1]', '[136, 34, w^3 - 2*w^2 - 5*w + 8]', '[136, 34, -3*w^3 + 3*w^2 + 13*w - 1]', '[136, 68, -2*w^3 + w^2 + 11*w + 2]', '[136, 136, -w^3 + 2*w^2 + 6*w - 4]', '[137, 137, -w^3 + w^2 + 6*w - 1]', '[137, 137, 3*w^3 - 3*w^2 - 12*w - 5]', '[139, 139, 2*w^3 - w^2 - 11*w - 3]', '[142, 142, -2*w^3 + 7*w + 3]', '[142, 142, w^2 - 4*w - 2]', '[142, 142, -w^3 + 2*w + 2]', '[142, 142, w^3 - 8*w - 5]', '[148, 74, w^2 - 4*w + 1]', '[148, 74, w^3 - w^2 - 2*w - 2]', '[148, 148, 3*w^3 - 3*w^2 - 13*w + 2]', '[149, 149, w^3 + w^2 - 6*w - 3]', '[149, 149, -3*w^3 + 5*w^2 + 12*w - 13]', '[149, 149, 2*w^3 - 2*w^2 - 8*w + 1]', '[149, 149, -w^3 + 2*w^2 + w - 3]', '[152, 38, -w^3 + w^2 + 5*w - 5]', '[152, 38, w^3 - 5*w]', '[152, 76, -w^3 + 3*w^2 + 2*w - 4]', '[152, 152, w^3 - 2*w^2 - 4*w]', '[157, 157, w^3 - 2*w^2 - 5*w + 1]', '[162, 6, -3*w]', '[162, 6, -3*w - 3]', '[163, 163, w^3 + w^2 - 8*w - 3]', '[163, 163, -w^3 - w^2 + 6*w + 5]', '[166, 166, 2*w^3 - 3*w^2 - 6*w + 6]', '[166, 166, -w^3 + 3*w^2 + 3*w - 8]', '[166, 166, -w^3 + 2*w^2 + 6*w - 3]', '[166, 166, 5*w^3 - 8*w^2 - 20*w + 15]', '[169, 13, -w^3 + 2*w^2 + 5*w - 7]', '[169, 13, w^3 - 3*w - 3]', '[172, 86, -2*w^3 + 3*w^2 + 8*w - 3]', '[172, 86, -w^3 - w^2 + 6*w + 6]', '[172, 86, -2*w^3 + w^2 + 8*w + 1]', '[172, 86, -w^2 - w + 4]', '[172, 172, -2*w^3 + 3*w^2 + 6*w - 4]', '[172, 172, -w^3 + 6*w]', '[173, 173, w^3 - 3*w^2 - 2*w + 9]', '[173, 173, -2*w^2 + 4*w + 1]', '[178, 178, w^3 - 2*w^2 - 6*w - 3]', '[178, 178, w^3 - 3*w^2 - 3*w]', '[181, 181, -2*w^3 - w^2 + 13*w + 7]', '[181, 181, 2*w^2 - 2*w - 7]', '[181, 181, 2*w^2 - 4*w - 5]', '[181, 181, 4*w^3 - 5*w^2 - 19*w + 11]', '[188, 94, w^3 - 3*w^2 - 4*w + 6]', '[188, 94, 2*w^3 - 7*w^2 + 2*w + 5]', '[188, 188, -2*w^3 + 2*w^2 + 9*w - 6]', '[191, 191, -3*w^3 + 6*w^2 + 9*w - 11]', '[193, 193, 2*w^3 - 2*w^2 - 10*w + 5]', '[193, 193, -3*w^3 + 2*w^2 + 13*w + 5]', '[194, 194, 2*w^2 - w - 3]', '[194, 194, 2*w^2 - 3*w]', '[196, 98, -2*w^3 + w^2 + 10*w + 1]', '[196, 98, w^3 - 3*w^2 - 2*w + 6]', '[196, 196, -2*w^3 + 2*w^2 + 9*w + 2]', '[199, 199, 2*w^2 - 5]', '[203, 203, 2*w^3 - 3*w^2 - 7*w + 1]', '[206, 206, -w^3 - 2*w^2 - 1]', '[206, 206, -3*w^2 - 2*w + 2]', '[211, 211, -w^3 + 3*w^2 + 2*w - 5]', '[211, 211, w^3 - 2*w^2 + w - 1]', '[212, 106, -2*w^3 + w^2 + 8*w + 5]', '[212, 106, -3*w^2 - w + 8]', '[212, 212, -3*w^3 + 3*w^2 + 11*w - 6]', '[214, 214, 2*w^3 - 5*w + 1]', '[214, 214, -w^3 + 2*w^2 + 2*w - 5]', '[214, 214, 2*w^2 + 3*w - 4]', '[214, 214, w^3 - w^2 - 7*w + 4]', '[217, 217, -w^3 + 2*w^2 + 5*w + 1]', '[218, 218, w^3 - 2*w^2 - 6*w + 6]', '[218, 218, -2*w^3 + 2*w^2 + 7*w - 3]', '[223, 223, -w^3 + 5*w - 1]', '[223, 223, -w^3 + 3*w^2 + 4*w - 3]', '[224, 28, 2*w^2 - 4]', '[224, 28, -w^3 + w^2 + 3*w - 5]', '[224, 28, 2*w^3 - 4*w^2 - 8*w + 6]', '[224, 56, w^3 - 5*w + 2]', '[224, 112, -w^2 - w - 2]', '[224, 224, w^3 - 3*w^2 - 3*w + 2]', '[227, 227, w^3 + 2*w^2 - 9*w - 7]', '[232, 58, -w^3 + 2*w^2 + 5*w]', '[232, 58, w^3 - 3*w^2 - 3*w + 5]', '[232, 116, w^2 - w + 2]', '[232, 232, -w^3 - w^2 + 5*w + 2]', '[236, 118, 2*w^3 - w^2 - 12*w - 5]', '[236, 118, w^2 - 3*w - 4]', '[236, 236, 4*w^3 - 4*w^2 - 19*w + 2]', '[238, 238, -w - 4]', '[238, 238, 2*w^3 - 2*w^2 - 9*w + 5]', '[241, 241, 2*w^3 - 3*w^2 - 9*w + 3]', '[241, 241, -w^2 + w + 7]', '[244, 122, 4*w^3 - 7*w^2 - 17*w + 16]', '[244, 122, -2*w^3 + 5*w^2 + 1]', '[244, 122, 2*w^3 - 5*w^2 - 11*w + 8]', '[244, 122, w^2 - 4*w - 1]', '[244, 244, -7*w^3 + 11*w^2 + 27*w - 22]', '[244, 244, -4*w^3 + 5*w^2 + 14*w - 12]', '[248, 62, w^3 + w^2 - 7*w - 3]', '[248, 62, -w^3 + 4*w^2 - w - 4]', '[248, 124, 3*w^3 - 3*w^2 - 14*w + 4]', '[248, 248, 2*w^3 - 11*w - 10]', '[256, 4, 4]', '[256, 8, -2*w^3 + 4*w^2 + 6*w - 4]', '[256, 8, w^3 - 3*w^2 - 3*w + 7]', '[256, 8, -2*w^3 + 2*w^2 + 10*w + 2]', '[256, 16, -2*w^2 + 2*w + 4]', '[256, 32, -2*w^2 + 4*w]', '[256, 64, -w^3 + 2*w^2 + 3*w + 2]', '[256, 128, -3*w^3 + 3*w^2 + 14*w]', '[256, 256, w^3 - 2*w^2 - 4*w + 8]', '[259, 259, -3*w^2 + 5*w + 5]', '[263, 263, w^3 - w^2 - 4*w + 5]', '[266, 266, -2*w^3 + 2*w^2 + 7*w + 1]', '[266, 266, -w^3 + 2*w^2 + 2]', '[272, 34, -2*w^2 + 2*w + 6]', '[272, 68, -w^3 + 7*w - 2]', '[272, 68, -3*w^3 + 5*w^2 + 11*w - 7]', '[272, 136, -w^3 + w^2 + 4*w + 4]', '[272, 272, -2*w^3 + 4*w^2 + 5*w - 2]', '[274, 274, -w^3 + 2*w^2 + 6*w + 1]', '[274, 274, 3*w^3 - 6*w^2 - 4*w + 1]', '[274, 274, w^2 + 2]', '[274, 274, w^3 - 4*w - 6]', '[277, 277, 7*w^3 - 12*w^2 - 27*w + 25]', '[278, 278, w^3 - w^2 - 5*w - 4]', '[278, 278, 3*w^3 - 2*w^2 - 16*w - 7]', '[283, 283, w^3 - w^2 - 2*w - 3]', '[284, 142, -2*w^3 + 3*w^2 + 6*w + 3]', '[284, 142, w^3 - w^2 - 2*w + 6]', '[284, 142, 2*w^3 - w^2 - 9*w]', '[284, 142, 5*w^2 - 10*w - 7]', '[284, 284, -w^3 + 3*w^2 + 3*w - 6]', '[284, 284, -2*w^3 + 4*w^2 + 9*w - 6]', '[289, 289, -w^3 + 5*w + 7]', '[296, 74, -w^3 + 2*w^2 + 3*w - 8]', '[296, 74, w^3 - 3*w^2 - 3*w + 1]', '[296, 148, 3*w^3 - 5*w^2 - 12*w + 8]', '[296, 296, 2*w^2 - w - 6]', '[298, 298, 2*w^3 - w^2 - 4*w - 2]', '[298, 298, 2*w^3 - 3*w^2 - 10*w + 6]', '[298, 298, 2*w^3 - 9*w - 3]', '[298, 298, w^3 - 4*w^2 - 2*w + 2]', '[298, 298, 3*w^3 - 10*w - 5]', '[298, 298, -w^3 + 2*w^2 + 2*w - 7]', '[298, 298, 2*w^2 - w - 4]', '[298, 298, -2*w^2 - w - 1]', '[301, 301, 2*w^2 - 2*w - 5]', '[301, 301, -2*w^3 + 5*w^2 + 3*w - 7]', '[304, 38, -4*w + 2]', '[304, 76, -w^3 + w^2 + w - 3]', '[304, 76, w^3 - w - 2]', '[304, 152, 3*w^3 - 3*w^2 - 12*w + 4]', '[304, 304, -2*w^3 + 4*w^2 + 9*w - 10]', '[311, 311, 2*w^3 - 4*w^2 - 6*w + 9]', '[311, 311, -w^3 + 4*w^2 - w - 5]', '[314, 314, -w^3 - 2]', '[314, 314, -2*w^2 - 5*w - 1]', '[317, 317, 3*w^3 - 5*w^2 - 10*w + 5]', '[323, 323, 2*w^3 - 3*w^2 - 5*w + 3]', '[324, 6, 3*w^3 - 3*w^2 - 12*w + 6]', '[324, 6, 3*w^2 - 6*w - 3]', '[324, 12, -3*w^3 + 6*w^2 + 12*w - 12]', '[326, 326, -3*w^3 + 6*w^2 + 10*w - 14]', '[326, 326, -3*w^3 + 12*w + 7]', '[326, 326, 4*w^3 - 4*w^2 - 19*w + 3]', '[326, 326, -2*w^3 + w^2 + 6*w + 2]', '[329, 329, w^2 + w - 5]', '[331, 331, w^3 + w^2 - 8*w - 7]', '[332, 166, 3*w^2 + 4*w - 1]', '[332, 166, w^3 + w^2 - 2*w + 2]', '[332, 166, -3*w^3 + 5*w^2 + 10*w - 10]', '[332, 166, 2*w^3 - 3*w^2 - 10*w + 5]', '[332, 332, -4*w^3 + 7*w^2 + 18*w - 12]', '[332, 332, 2*w^3 - 2*w^2 - 7*w + 2]', '[337, 337, 2*w^3 - 2*w^2 - 10*w - 3]', '[337, 337, w^3 - 6*w^2 + 7*w + 7]', '[337, 337, -4*w^3 + 5*w^2 + 17*w - 5]', '[337, 337, -3*w^3 + 7*w^2 + 8*w - 15]', '[338, 26, w^3 - 6*w + 2]', '[338, 26, w^3 + 2*w^2 - 4*w - 2]', '[338, 26, 2*w^3 + 2*w^2 - 7*w - 5]', '[338, 26, 2*w^2 - w - 5]', '[343, 7, 5*w^3 - 4*w^2 - 23*w - 1]', '[343, 343, 2*w^3 - 2*w^2 - 6*w + 3]', '[344, 86, w^3 - 2*w^2 - w + 4]', '[344, 86, -w^3 + w^2 + 7*w + 1]', '[344, 86, -w^3 + 3*w^2 + 5*w - 3]', '[344, 86, -w^3 - 2*w^2 + 3*w + 4]', '[344, 172, -w^3 - w^2 + 4*w]', '[344, 172, -2*w^3 + w^2 + 7*w + 2]', '[344, 344, 2*w^3 - 5*w^2 - 8*w + 12]', '[344, 344, -w^3 + w^2 + w + 2]', '[346, 346, -2*w^3 + 3*w^2 + 8*w - 2]', '[346, 346, -3*w^3 + 4*w^2 + 14*w - 7]', '[346, 346, -w^3 + 6*w + 7]', '[346, 346, 4*w^3 - 7*w^2 - 14*w + 14]', '[347, 347, -2*w^3 - w^2 + 11*w + 13]', '[349, 349, 4*w^3 - 2*w^2 - 20*w - 5]', '[356, 178, 2*w^3 - w^2 - 7*w]', '[356, 178, 4*w^3 - 7*w^2 - 8*w - 1]', '[356, 356, w^2 + 2*w - 4]', '[359, 359, -w^3 + 3*w^2 - 5]', '[361, 361, -4*w^3 + 6*w^2 + 16*w - 9]', '[362, 362, w^3 - 4*w^2 + 4*w + 3]', '[362, 362, 2*w^3 - 9*w - 7]', '[362, 362, 2*w^3 - 2*w^2 - 9*w - 5]', '[362, 362, -w^3 + w^2 + 7*w - 8]', '[362, 362, -2*w^2 + 3*w + 8]', '[362, 362, 2*w^3 - 2*w^2 - 7*w]', '[362, 362, 2*w^3 - 4*w^2 - 5*w]', '[362, 362, 3*w^3 - 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5*w - 5]', '[401, 401, -w^3 + 3*w^2 + 6*w - 7]', '[401, 401, 2*w^3 - 5*w^2 - w - 1]', '[406, 406, w^3 - 8*w - 3]', '[406, 406, -w^3 + 3*w^2 - w - 4]', '[412, 206, 2*w^3 - 3*w^2 - 4*w + 1]', '[412, 206, 4*w^3 - 3*w^2 - 13*w + 8]', '[412, 412, -3*w^3 + 7*w^2 + 15*w - 14]', '[413, 413, -2*w^3 + 2*w^2 + 8*w + 5]', '[419, 419, -w^3 + w^2 + 8*w - 5]', '[422, 422, w^3 - 2*w - 3]', '[422, 422, w^3 + 2*w^2 - 4*w - 7]', '[422, 422, 2*w^3 - 3*w^2 - 4*w + 2]', '[422, 422, 2*w^3 - w^2 - 8*w + 2]', '[424, 106, -3*w^3 + 4*w^2 + 13*w - 4]', '[424, 106, -w^3 - w^2 + 7*w + 11]', '[424, 212, -2*w^3 - w^2 + 11*w + 10]', '[424, 424, -2*w^3 + w^2 + 10*w]', '[427, 427, -3*w^3 + 6*w^2 + 11*w - 13]', '[427, 427, -2*w^3 + 4*w^2 + 10*w - 5]', '[428, 214, -7*w^3 + 9*w^2 + 26*w - 22]', '[428, 214, -w^2 + 2*w - 3]', '[428, 214, -w^2 - 2*w - 3]', '[428, 214, w^3 - 3*w^2 - 4*w + 2]', '[428, 428, 9*w^3 - 16*w^2 - 38*w + 32]', '[428, 428, -3*w^3 + 5*w^2 + 11*w - 14]', '[434, 434, w^3 - 3*w^2 - 5*w + 8]', '[434, 434, -3*w^3 + 2*w^2 + 12*w - 1]', '[436, 218, -3*w^2 - w + 4]', '[436, 218, -2*w^3 + 5*w^2 + 8*w - 7]', '[436, 436, -w^3 - w^2 + 5*w - 2]', '[439, 439, -3*w^3 + 3*w^2 + 12*w + 1]', '[446, 446, -w^3 + 2]', '[446, 446, w^3 + 2*w^2 + 2*w - 1]', '[446, 446, -2*w^3 + 5*w + 1]', '[446, 446, 2*w^3 - w^2 - 2*w + 2]', '[448, 28, 2*w^2 - 6*w]', '[448, 28, 2*w^2 - 4*w - 6]', '[448, 28, 3*w^3 - 5*w^2 - 9*w + 5]', '[448, 56, 2*w^3 - 2*w^2 - 6*w - 4]', '[448, 112, 3*w^3 - 6*w^2 - 5*w + 2]', '[448, 224, -w^3 + 3*w^2 + 4*w - 12]', '[448, 448, 4*w^3 - 2*w^2 - 21*w - 6]', '[454, 454, -2*w^3 + 6*w^2 - w - 5]', '[454, 454, 3*w^3 - 3*w^2 - 15*w + 4]', '[464, 58, -2*w^3 + 2*w^2 + 4*w - 2]', '[464, 116, -3*w^3 + 3*w^2 + 11*w + 3]', '[464, 116, 3*w^3 - 6*w^2 - 13*w + 14]', '[464, 232, -2*w^3 + 3*w^2 + 11*w - 2]', '[464, 464, 2*w^3 - 3*w^2 - 6*w + 8]', '[472, 118, -w^3 + 4*w^2 + 3*w - 12]', '[472, 118, w^3 + 3*w^2 - 11*w - 9]', '[472, 236, 4*w^3 - 5*w^2 - 17*w + 10]', '[472, 472, w^2 - 2*w - 8]', '[476, 238, 2*w^3 - w^2 - 6*w + 1]', '[476, 238, w^2 + 3*w - 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3*w^2 - 8*w + 1]', '[548, 274, 2*w^3 + w^2 - 11*w - 8]', '[548, 548, -5*w^3 + 7*w^2 + 19*w - 14]', '[548, 548, w^3 + w^2 - 7*w - 2]', '[551, 551, 3*w^3 - 3*w^2 - 14*w + 5]', '[554, 554, -5*w^3 + 8*w^2 + 18*w - 14]', '[554, 554, 2*w^3 - 4*w^2 - 9*w + 11]', '[556, 278, 4*w^3 - 3*w^2 - 16*w - 9]', '[556, 278, 3*w^2 - w - 12]', '[556, 556, 4*w^3 - 5*w^2 - 16*w + 8]', '[557, 557, 2*w^3 - 4*w^2 - 8*w + 5]', '[557, 557, 2*w^3 - 5*w^2 - 5*w + 7]', '[563, 563, -4*w^3 + 5*w^2 + 19*w - 13]', '[563, 563, -5*w^3 + 3*w^2 + 24*w + 11]', '[566, 566, 3*w^2 - 4*w - 2]', '[566, 566, w^3 + 2*w^2 - 6*w - 5]', '[567, 21, -3*w^3 + 3*w^2 + 12*w - 3]', '[568, 142, -3*w^3 + 4*w^2 + 11*w - 4]', '[568, 142, -w^3 - w^2 + 5*w + 9]', '[568, 142, 3*w^3 - w^2 - 17*w - 5]', '[568, 142, -w^3 + 4*w^2 - w - 8]', '[568, 284, 4*w^3 - 3*w^2 - 17*w - 6]', '[568, 284, -w^3 - w^2 + 8*w + 8]', '[568, 568, -w^3 + 8*w]', '[568, 568, 2*w^3 - 3*w^2 - 4*w - 4]', '[571, 571, -w^3 + 4*w^2 - 3*w - 5]', '[577, 577, w^3 + 2*w^2 - 7*w - 11]', '[578, 578, -3*w + 5]', '[578, 578, -w^3 + 8*w + 2]', '[581, 581, -w^3 + w^2 - 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9]', '[1634, 1634, -2*w^3 + 4*w^2 + 11*w - 11]', '[1634, 1634, 2*w^3 - w^2 - 12*w + 6]', '[1634, 1634, w^3 - 2*w^2 - 8*w + 2]', '[1637, 1637, -2*w^3 + 3*w^2 + 7*w - 11]', '[1637, 1637, 4*w^3 - 4*w^2 - 20*w + 5]', '[1643, 1643, 4*w^3 - 5*w^2 - 19*w + 3]', '[1646, 1646, -3*w^3 + w^2 + 5*w - 4]', '[1646, 1646, -3*w^3 - 2*w^2 + 18*w + 19]', '[1646, 1646, -w^3 - 4*w^2 - 4*w + 3]', '[1646, 1646, -4*w^3 + 3*w^2 + 20*w - 2]', '[1648, 206, -2*w^3 + 2*w^2 + 4*w - 6]', '[1648, 412, w^3 - 3*w^2 - 9*w + 1]', '[1648, 412, w^3 - 2*w^2 - 9*w + 6]', '[1648, 824, w^3 + w^2 - 4]', '[1648, 1648, 3*w^3 - 4*w^2 - 6*w + 4]', '[1649, 1649, -2*w^3 + 5*w^2 + 3*w - 9]', '[1652, 826, 2*w^3 - 3*w^2 - 8*w + 11]', '[1652, 826, -3*w^3 + w^2 + 14*w + 2]', '[1652, 1652, w^3 - 4*w^2 - 2*w + 8]', '[1657, 1657, w^3 - 5*w - 9]', '[1657, 1657, 6*w^3 - 10*w^2 - 22*w + 25]', '[1666, 1666, 5*w^3 - 8*w^2 - 18*w + 19]', '[1666, 1666, -4*w^3 + 3*w^2 + 16*w - 2]', '[1667, 1667, 3*w^3 - 11*w - 1]', '[1669, 1669, 4*w^3 - 5*w^2 - 17*w + 3]', '[1669, 1669, -w^3 + 5*w^2 - 2*w - 9]', '[1676, 838, -4*w^3 + 11*w^2 - 2*w - 1]', '[1676, 838, 6*w^3 - 11*w^2 - 27*w + 24]', '[1676, 1676, -11*w^3 + 17*w^2 + 41*w - 34]', '[1681, 41, -w^3 + 3*w^2 + 6*w - 9]', '[1681, 41, -2*w^3 + w^2 + 7*w + 7]', '[1682, 1682, -4*w^3 + 6*w^2 + 13*w - 9]', '[1682, 1682, w^3 - 2*w^2 + 6]', '[1687, 1687, 2*w^3 - 6*w^2 - 8*w + 17]', '[1687, 1687, 3*w^3 - 5*w^2 - 6*w + 3]', '[1688, 422, 5*w^3 - 7*w^2 - 19*w + 9]', '[1688, 422, -3*w^3 + 4*w^2 + 17*w - 16]', '[1688, 422, -9*w^3 + 16*w^2 + 35*w - 36]', '[1688, 422, 9*w^3 - 11*w^2 - 39*w + 17]', '[1688, 844, 2*w^3 - w^2 - 13*w + 2]', '[1688, 844, 6*w^3 - 7*w^2 - 27*w + 6]', '[1688, 1688, -4*w^3 + 9*w^2 + 8*w - 12]', '[1688, 1688, -4*w^3 + 7*w^2 + 16*w - 20]', '[1691, 1691, -2*w^3 + 7*w^2 + 3*w - 3]', '[1693, 1693, 4*w^3 - 6*w^2 - 16*w + 7]', '[1696, 212, 2*w^2 + 4*w + 4]', '[1696, 212, -w^3 - 3*w^2 + 3*w + 7]', '[1696, 212, -2*w^3 + 4*w^2 + 16*w + 6]', '[1696, 424, -5*w^3 + 6*w^2 + 25*w - 2]', '[1696, 848, 3*w^3 - 5*w^2 - 10*w + 16]', '[1696, 1696, -5*w^3 + 2*w^2 + 22*w + 4]', '[1699, 1699, -5*w^3 + 11*w^2 + 8*w - 1]', '[1699, 1699, 4*w^3 - 7*w^2 - 19*w + 13]', '[1706, 1706, w^3 - 2*w^2 - 8*w + 3]', '[1706, 1706, -3*w^3 + 5*w^2 + 7*w - 8]', '[1708, 854, 4*w^3 - 7*w^2 - 12*w + 5]', '[1708, 854, w^3 - 5*w^2 + 8*w - 6]', '[1708, 854, -w^3 - w^2 + 8*w - 2]', '[1708, 854, -3*w^2 + 2*w + 7]', '[1708, 1708, -w^3 + 2*w^2 + 4*w + 4]', '[1708, 1708, 4*w^2 - 9*w - 2]', '[1709, 1709, -10*w^3 + 16*w^2 + 38*w - 29]', '[1711, 1711, 2*w^3 - w^2 - 11*w - 9]', '[1712, 214, 4*w^3 - 4*w^2 - 16*w + 10]', '[1712, 214, -4*w^3 + 6*w^2 + 18*w - 18]', '[1712, 428, -w^3 + 5*w^2 + 5*w - 11]', '[1712, 428, 5*w^3 - 7*w^2 - 21*w + 9]', '[1712, 428, -5*w^3 + 10*w^2 + 19*w - 18]', '[1712, 428, 3*w^3 - 2*w^2 - 15*w + 2]', '[1712, 856, 2*w^3 - 5*w^2 - 9*w + 6]', '[1712, 856, -3*w^3 + 7*w^2 + 8*w - 12]', '[1712, 1712, -2*w^3 + w^2 + 10*w - 8]', '[1712, 1712, 3*w^3 - 4*w^2 - 12*w]', '[1714, 1714, 2*w^3 + 2*w^2 - 11*w - 13]', '[1714, 1714, 3*w^3 - 2*w^2 - 14*w + 2]', '[1721, 1721, 4*w^3 - 2*w^2 - 16*w - 9]', '[1723, 1723, 5*w^3 - 5*w^2 - 22*w - 1]', '[1733, 1733, 10*w^3 - 15*w^2 - 41*w + 27]', '[1733, 1733, 2*w^3 - w^2 - 11*w + 5]', '[1736, 434, -w^3 - w^2 + 9*w + 9]', '[1736, 434, -w^3 + 9*w]', '[1736, 868, -3*w^3 + w^2 + 12*w + 8]', '[1736, 1736, -3*w^3 + 4*w^2 + 8*w]', '[1739, 1739, 4*w^3 - 6*w^2 - 12*w + 9]', '[1741, 1741, -w^3 + 9*w + 1]', '[1744, 218, -6*w^3 + 8*w^2 + 26*w - 18]', '[1744, 436, 9*w^3 - 16*w^2 - 33*w + 30]', '[1744, 436, 3*w^3 - 9*w^2 - 3*w + 7]', '[1744, 872, -4*w^3 + 7*w^2 + 15*w - 10]', '[1744, 1744, 3*w^3 - 3*w^2 - 17*w + 14]', '[1747, 1747, -2*w^3 + 5*w^2 + 5*w - 15]', '[1747, 1747, 3*w^2 - w - 19]', '[1747, 1747, 4*w - 9]', '[1747, 1747, -2*w^3 + 4*w^2 + 10*w - 3]', '[1751, 1751, 2*w^2 + 2*w - 7]', '[1753, 1753, 3*w^3 - 7*w^2 - 10*w + 17]', '[1753, 1753, -4*w^3 + 3*w^2 + 17*w + 1]', '[1754, 1754, 2*w^3 - 11*w - 12]', '[1754, 1754, 3*w^3 - 6*w^2 - 8*w - 1]', '[1756, 878, 2*w^3 - 5*w^2 - 5*w + 16]', '[1756, 878, -7*w^2 + 14*w + 13]', '[1756, 1756, -5*w^3 + 7*w^2 + 23*w - 14]', '[1759, 1759, 2*w^3 - 6*w^2 - 6*w + 17]', '[1759, 1759, -3*w^3 + 10*w^2 - w - 7]', '[1759, 1759, -3*w^3 + 2*w^2 + 13*w - 3]', '[1759, 1759, -2*w^3 + 10*w + 1]', '[1762, 1762, 2*w^3 + 2*w^2 - 9*w - 9]', '[1762, 1762, 2*w^3 - 6*w^2 - 3*w + 11]', '[1762, 1762, 2*w^3 - 4*w^2 - w - 3]', '[1762, 1762, -5*w^3 + 5*w^2 + 21*w]', '[1762, 1762, 2*w^3 - 9*w]', '[1762, 1762, -4*w^3 + 4*w^2 + 17*w + 4]', '[1762, 1762, 7*w^3 - 9*w^2 - 29*w + 12]', '[1762, 1762, -5*w^3 + 26*w + 21]', '[1769, 1769, -6*w^2 - 4*w + 5]', '[1769, 1769, 3*w^3 - 8*w^2 - 7*w + 9]', '[1783, 1783, 5*w^3 - 3*w^2 - 26*w - 5]', '[1783, 1783, -4*w^3 + 2*w^2 + 16*w + 1]', '[1784, 446, -5*w^3 + 8*w^2 + 17*w - 12]', '[1784, 446, w^3 - 3*w^2 - 5*w + 11]', '[1784, 446, -3*w^3 + 4*w^2 + 17*w - 12]', '[1784, 446, 3*w^3 - 5*w^2 - 9*w + 11]', '[1784, 892, w^3 - 3*w^2 + 8]', '[1784, 892, -w^2 - 3*w + 6]', '[1784, 1784, -4*w^3 + 7*w^2 + 10*w - 8]', '[1784, 1784, -w^3 + 10*w - 4]', '[1786, 1786, w^3 - 4*w - 10]', '[1786, 1786, 5*w^3 - 12*w^2 - 6*w + 3]', '[1789, 1789, -4*w^3 + 3*w^2 + 21*w - 1]', '[1792, 28, 4*w^3 - 4*w^2 - 16*w + 4]', '[1792, 56, -2*w^3 + 4*w^2 + 10*w - 12]', '[1792, 56, 5*w^3 - 7*w^2 - 23*w + 11]', '[1792, 56, -6*w^3 + 10*w^2 + 22*w - 22]', '[1792, 112, 2*w^3 - 2*w^2 - 12*w]', '[1792, 224, -2*w^3 + 4*w^2 + 4*w - 8]', '[1792, 448, 3*w^3 - 2*w^2 - 11*w - 2]', '[1792, 896, w^3 - w^2 - 4]', '[1792, 1792, w^3 - 10*w - 4]', '[1798, 1798, 2*w^3 - 2*w^2 - 5*w - 5]', '[1798, 1798, 4*w^3 - 8*w^2 - 7*w + 4]', '[1801, 1801, 5*w^3 - 8*w^2 - 17*w + 11]', '[1801, 1801, 4*w^3 - 3*w^2 - 17*w - 3]', '[1801, 1801, -5*w^3 + 9*w^2 + 16*w - 11]', '[1801, 1801, w^3 - 5*w^2 + 2*w + 7]', '[1802, 1802, -2*w^3 + 4*w^2 + 9*w - 3]', '[1802, 1802, -2*w^3 - 2*w^2 + 9*w + 8]', '[1811, 1811, w^3 + w^2 - 4*w - 9]', '[1813, 1813, 2*w^3 - 14*w - 5]', '[1814, 1814, 4*w^3 - 3*w^2 - 18*w + 2]', '[1814, 1814, 3*w^3 - 7*w^2 - 11*w + 12]', '[1814, 1814, 3*w^3 + 2*w^2 - 16*w - 17]', '[1814, 1814, -3*w^3 + 2*w^2 + 12*w - 5]', '[1816, 454, 3*w^3 - 4*w^2 - 9*w + 4]', '[1816, 454, w^3 + w^2 - 3*w - 7]', '[1816, 908, w^2 - 5*w - 6]', '[1816, 1816, w^2 - 6*w]', '[1819, 1819, 4*w^3 - 7*w^2 - 17*w + 11]', '[1819, 1819, -5*w^3 + 10*w^2 + 17*w - 21]', '[1822, 1822, 4*w^3 - 8*w^2 - 11*w + 8]', '[1822, 1822, w - 7]', '[1823, 1823, -7*w^3 + 4*w^2 + 31*w + 17]', '[1829, 1829, -w^3 - 3*w^2 + 12*w + 5]', '[1838, 1838, 5*w^3 - 6*w^2 - 20*w + 9]', '[1838, 1838, w^3 + w^2 - 9*w - 12]', '[1841, 1841, 5*w^3 - 6*w^2 - 19*w + 11]', '[1843, 1843, -4*w^2 + 8*w - 3]', '[1847, 1847, -5*w^3 + w^2 + 26*w + 11]', '[1847, 1847, -2*w^3 + 6*w^2 + 8*w - 7]', '[1849, 43, 3*w^3 - 3*w^2 - 10*w - 1]', '[1849, 43, 4*w^3 - 5*w^2 - 15*w + 7]', '[1849, 1849, -4*w^3 + 9*w^2 + 11*w - 17]', '[1849, 1849, 4*w^3 - 2*w^2 - 20*w - 3]', '[1853, 1853, -7*w^3 + 11*w^2 + 28*w - 19]', '[1856, 116, -2*w^2 + 4*w + 10]', '[1856, 116, -2*w^3 + 2*w^2 + 12*w - 4]', '[1856, 116, -5*w^3 + 7*w^2 + 19*w - 11]', '[1856, 232, -2*w^3 + 8*w + 8]', '[1856, 464, -3*w^3 + 4*w^2 + 9*w - 2]', '[1856, 928, -w^3 - w^2 + 10*w + 8]', '[1856, 1856, -2*w^2 + 7*w + 2]', '[1862, 1862, w^3 - 6*w - 9]', '[1862, 1862, 3*w^3 - 5*w^2 - 11*w + 4]', '[1867, 1867, 2*w^3 - 9*w^2 + 7*w + 5]', '[1867, 1867, -w^3 + 2*w^2 - w - 5]', '[1867, 1867, 3*w^3 - 3*w^2 - 16*w + 5]', '[1867, 1867, 11*w^3 - 17*w^2 - 44*w + 31]', '[1871, 1871, -5*w^3 + 5*w^2 + 20*w - 7]', '[1873, 1873, 5*w^3 - 7*w^2 - 22*w + 9]', '[1873, 1873, -5*w^3 + 8*w^2 + 23*w - 21]', '[1874, 1874, 2*w^3 - 13*w]', '[1874, 1874, 2*w^3 + 2*w^2 - 13*w - 13]', '[1882, 1882, -2*w^2 + 7*w + 1]', '[1882, 1882, 3*w^3 - 7*w^2 - 9*w + 20]', '[1888, 236, 4*w^3 - 4*w^2 - 18*w - 2]', '[1888, 236, 5*w^3 - w^2 - 27*w - 19]', '[1888, 236, 2*w - 8]', '[1888, 472, 3*w^3 - 17*w - 6]', '[1888, 944, -w^3 + 5*w^2 - 2*w - 8]', '[1888, 1888, 4*w^3 - 4*w^2 - 17*w - 6]', '[1891, 1891, 8*w^3 - 13*w^2 - 31*w + 23]', '[1891, 1891, 3*w^3 - 7*w^2 - 12*w + 15]', '[1894, 1894, -2*w^3 + 4*w^2 + w + 4]', '[1894, 1894, w^2 - 10]', '[1894, 1894, -4*w^3 + 4*w^2 + 15*w + 3]', '[1894, 1894, 5*w^3 - 6*w^2 - 24*w + 15]', '[1901, 1901, 5*w^3 - 9*w^2 - 12*w + 1]', '[1901, 1901, 4*w^3 - 3*w^2 - 21*w - 3]', '[1904, 238, 4*w^3 - 4*w^2 - 20*w + 2]', '[1904, 476, -3*w^3 + 6*w^2 + 9*w - 14]', '[1904, 476, -w^3 + 3*w^2 - 3*w - 5]', '[1904, 952, 4*w^3 - 3*w^2 - 17*w - 2]', '[1904, 1904, w^2 + 2*w - 8]', '[1906, 1906, -2*w^3 + 6*w^2 + 5*w - 16]', '[1906, 1906, 2*w^3 - 7*w^2 - 2*w + 6]', '[1906, 1906, -w^3 + 6*w^2 - 6*w - 3]', '[1906, 1906, -w^3 - 2*w^2 + 6*w + 1]', '[1907, 1907, 3*w^3 - 2*w^2 - 11*w - 1]', '[1907, 1907, w^3 - 2*w^2 - 7*w + 9]', '[1913, 1913, -2*w^3 + 12*w + 1]', '[1916, 958, -3*w^3 + 5*w^2 + 10*w - 2]', '[1916, 958, -2*w^3 + w^2 + 10*w + 9]', '[1916, 1916, -w^3 + 4*w^2 - 4*w + 4]', '[1918, 1918, -4*w^3 + 10*w^2 + 5*w - 4]', '[1918, 1918, -4*w^3 + 6*w^2 + 13*w - 13]', '[1918, 1918, -2*w^3 + 4*w^2 + 5*w + 3]', '[1918, 1918, 3*w^3 - 2*w^2 - 10*w + 2]', '[1922, 1922, 2*w^3 - 4*w^2 - 5*w + 13]', '[1922, 1922, -4*w^3 + 6*w^2 + 19*w - 12]', '[1928, 482, -3*w^3 + 7*w^2 + 9*w - 21]', '[1928, 482, 7*w^3 - 10*w^2 - 31*w + 20]', '[1928, 482, -3*w^3 + 4*w^2 + 7*w + 4]', '[1928, 482, -5*w^3 + 3*w^2 + 21*w + 9]', '[1928, 964, 3*w^2 - w - 14]', '[1928, 964, w^3 - 5*w^2 - 6*w + 12]', '[1928, 1928, 5*w^3 - 7*w^2 - 19*w + 10]', '[1928, 1928, -5*w^3 + 6*w^2 + 18*w - 12]', '[1931, 1931, 4*w - 7]', '[1931, 1931, -7*w^3 + 10*w^2 + 27*w - 13]', '[1939, 1939, 3*w^3 - 4*w^2 - 9*w + 3]', '[1946, 1946, 2*w^3 - 4*w^2 - 5*w + 11]', '[1946, 1946, -4*w^3 + 2*w^2 + 17*w + 4]', '[1951, 1951, -3*w^3 + 6*w^2 + 11*w - 19]', '[1952, 244, 2*w^2 - 4*w + 4]', '[1952, 244, 3*w^3 - 7*w^2 - 9*w + 11]', '[1952, 244, 2*w^3 + 2*w^2 - 6*w]', '[1952, 244, w^3 - 5*w^2 - 7*w + 5]', '[1952, 244, -2*w^3 + 4*w^2 + 8*w - 2]', '[1952, 244, 2*w^3 + 4*w^2 - 4*w - 6]', '[1952, 488, -9*w^3 + 14*w^2 + 37*w - 26]', '[1952, 488, -3*w^3 + 8*w^2 + 13*w - 18]', '[1952, 976, 11*w^3 - 17*w^2 - 46*w + 40]', '[1952, 976, 7*w^3 - 9*w^2 - 28*w + 20]', '[1952, 1952, -2*w^3 + 2*w^2 + 5*w - 10]', '[1952, 1952, -5*w^3 + 6*w^2 + 22*w - 12]', '[1954, 1954, 2*w^2 - 9*w + 8]', '[1954, 1954, -4*w^3 + 6*w^2 + 13*w - 5]', '[1957, 1957, -w^3 + 7*w^2 + 6*w - 7]', '[1961, 1961, 4*w^3 - 3*w^2 - 15*w + 7]', '[1964, 982, -3*w^3 - w^2 + 10*w + 2]', '[1964, 982, 2*w^3 - w^2 - 6*w + 7]', '[1964, 1964, -4*w^2 - w + 6]', '[1972, 986, -2*w^3 - w^2 + 10*w + 13]', '[1972, 986, -4*w^3 + 5*w^2 + 15*w - 4]', '[1972, 1972, -2*w^3 - w^2 + 14*w + 12]', '[1973, 1973, 8*w^3 - 15*w^2 - 29*w + 33]', '[1979, 1979, 3*w^3 - 4*w^2 - 13*w + 13]', '[1979, 1979, 3*w^3 - 5*w^2 - 12*w + 5]', '[1981, 1981, -3*w^3 + 4*w^2 + 13*w - 1]', '[1984, 124, 3*w^3 - w^2 - 13*w - 11]', '[1984, 124, 4*w^3 - 6*w^2 - 12*w + 2]', '[1984, 124, -2*w^2 - 6*w]', '[1984, 248, -2*w^3 + 2*w^2 + 2*w - 4]', '[1984, 496, 5*w^3 - 8*w^2 - 23*w + 14]', '[1984, 992, -7*w^3 + 11*w^2 + 26*w - 24]', '[1984, 1984, 4*w^3 - 4*w^2 - 15*w + 6]', '[1988, 994, -2*w^3 - 3*w^2 + 18*w + 13]', '[1988, 994, w^3 - 7*w^2 + 10*w + 6]', '[1988, 994, 2*w^3 - 3*w^2 - 3*w - 4]', '[1988, 994, 4*w^3 - 3*w^2 - 16*w - 5]', '[1988, 1988, 2*w^3 + w^2 - 16*w - 8]', '[1988, 1988, -6*w^3 + 6*w^2 + 21*w + 10]', '[1996, 998, 3*w^3 - w^2 - 8*w + 2]', '[1996, 998, 2*w^3 + 3*w^2 - 4*w - 7]', '[1996, 1996, -5*w^3 + 11*w^2 + 21*w - 26]', '[1997, 1997, 2*w^3 - 14*w - 3]', '[1997, 1997, -6*w^3 + 10*w^2 + 26*w - 25]', '[1999, 1999, 4*w^2 - 6*w - 9]', '[1999, 1999, -5*w^3 + 2*w^2 + 23*w + 15]', '[2003, 2003, 5*w^3 - 6*w^2 - 23*w + 13]', '[2006, 2006, 5*w^3 - 2*w^2 - 26*w - 7]', '[2006, 2006, -w^3 + 5*w^2 - w - 12]', '[2011, 2011, -w^3 + 5*w^2 + 4*w - 7]', '[2011, 2011, -4*w^3 + 9*w^2 + 15*w - 27]', '[2012, 1006, -3*w^3 + 7*w^2 + 12*w - 14]', '[2012, 1006, -4*w^3 + 13*w^2 - 2*w - 9]', '[2012, 2012, 5*w^3 - 6*w^2 - 22*w + 16]', '[2014, 2014, 4*w^3 + w^2 - 24*w - 22]', '[2014, 2014, 2*w^3 - 15*w - 7]', '[2021, 2021, -2*w^3 - 2*w^2 + 14*w + 17]', '[2021, 2021, 5*w^3 - 8*w^2 - 13*w - 5]', '[2023, 2023, 6*w^3 - 5*w^2 - 27*w - 1]', '[2026, 2026, -w^3 - 2*w^2 - 3]', '[2026, 2026, w^3 - 5*w^2 - 5*w + 4]', '[2027, 2027, -6*w^3 + 8*w^2 + 24*w - 13]', '[2029, 2029, -2*w^3 + w^2 + 7*w + 9]', '[2029, 2029, 2*w^2 - 2*w - 13]', '[2033, 2033, 2*w^3 - 6*w^2 - 14*w + 13]', '[2033, 2033, -3*w^3 + 3*w^2 + 10*w - 3]', '[2036, 1018, w^3 + 3*w^2 - 6*w - 6]', '[2036, 1018, 2*w^3 - 5*w^2 - 6*w + 3]', '[2036, 2036, 4*w^2 - 5*w - 2]', '[2042, 2042, w^2 + 2*w - 10]', '[2042, 2042, 4*w^3 - 2*w^2 - 17*w - 5]', '[2042, 2042, 5*w^3 - 6*w^2 - 26*w + 17]', '[2042, 2042, w^3 - 2*w - 6]', '[2048, 8, 4*w^3 - 8*w^2 - 12*w + 16]', '[2048, 8, -4*w^3 + 4*w^2 + 20*w - 4]', '[2048, 16, -4*w^3 + 4*w^2 + 16*w]', '[2048, 16, -w^3 - w^2 + 11*w + 5]', '[2048, 16, 2*w^3 - 6*w^2 + 2*w + 6]', '[2048, 32, -4*w + 8]', '[2048, 64, -2*w^3 + 14*w + 4]', '[2048, 128, 2*w^3 - 6*w^2 + 8]', '[2048, 256, -4*w^3 + 4*w^2 + 14*w + 4]', '[2048, 512, -3*w^3 + 6*w^2 + 3*w + 2]', '[2048, 1024, -6*w^3 + 7*w^2 + 25*w - 6]', '[2048, 2048, -4*w^3 - w^2 + 24*w + 20]', '[2059, 2059, 2*w^3 - w^2 - w + 3]', '[2059, 2059, 3*w^3 - 4*w^2 - 5*w + 1]', '[2062, 2062, 5*w^3 - 3*w^2 - 21*w - 12]', '[2062, 2062, w^3 + 2*w^2 - 2*w - 7]', '[2062, 2062, w^3 + 2*w^2 - 12*w - 3]', '[2062, 2062, 3*w^3 - 3*w^2 - 9*w + 4]', '[2071, 2071, -5*w^3 + 8*w^2 + 25*w - 21]', '[2072, 518, -3*w^3 + 4*w^2 + 7*w - 4]', '[2072, 518, -w^3 - w^2 + w + 5]', '[2072, 1036, w^3 - w^2 + 2*w + 4]', '[2072, 2072, w^3 - 2*w^2 + 4*w]', '[2074, 2074, -6*w^3 + 12*w^2 + 17*w - 15]', '[2074, 2074, -2*w^3 + 6*w^2 + 7*w - 9]', '[2074, 2074, 2*w^3 - 6*w^2 - 3*w + 8]', '[2074, 2074, w^3 - 4*w^2 - 6*w + 2]', '[2081, 2081, 2*w^3 + 2*w^2 - 14*w - 7]', '[2081, 2081, -2*w^3 + 2*w^2 + 12*w - 1]', '[2083, 2083, w^3 + 5*w^2 - 16*w - 9]', '[2083, 2083, -2*w - 7]', '[2084, 1042, -6*w^3 + 9*w^2 + 18*w + 1]', '[2084, 1042, -9*w^3 + 13*w^2 + 38*w - 22]', '[2084, 2084, 10*w^3 - 16*w^2 - 41*w + 38]', '[2086, 2086, 5*w^3 - 10*w^2 - 20*w + 22]', '[2086, 2086, -4*w^2 + w + 5]', '[2086, 2086, 3*w^3 - 6*w^2 - 14*w + 15]', '[2086, 2086, -w^3 - w^2 - w + 4]', '[2086, 2086, -16*w^3 + 26*w^2 + 65*w - 53]', '[2086, 2086, -w^3 + 4*w^2 + 8*w + 2]', '[2086, 2086, -2*w^3 + 3*w^2 + 12*w - 2]', '[2086, 2086, -w^3 + 2*w^2 + 10*w - 7]', '[2087, 2087, -3*w^3 + w^2 + 12*w - 1]', '[2087, 2087, -4*w^3 + 5*w^2 + 15*w + 5]', '[2098, 2098, -2*w^3 - 2*w^2 + 3*w - 3]', '[2098, 2098, -5*w^3 + 26*w + 13]', '[2098, 2098, w^3 - 6*w^2 - 6*w + 6]', '[2098, 2098, -w^3 - 3*w^2 + 9*w + 8]', '[2099, 2099, w^3 - 3*w^2 + 4*w + 5]', '[2099, 2099, 4*w^3 - 6*w^2 - 14*w + 3]', '[2102, 2102, -2*w^3 + 4*w^2 + 5*w - 12]', '[2102, 2102, w^3 + 4*w^2 - 2*w - 5]', '[2102, 2102, 4*w^3 - 4*w^2 - 21*w - 1]', '[2102, 2102, w^3 + 3*w^2 - 5*w]', '[2104, 526, -5*w^3 + 7*w^2 + 23*w - 13]', '[2104, 526, 7*w^3 - 12*w^2 - 25*w + 24]', '[2104, 1052, -4*w^3 + 5*w^2 + 15*w - 6]', '[2104, 2104, 2*w^3 - 3*w^2 - 12*w + 12]', '[2107, 2107, -3*w^3 + 3*w^2 + 16*w - 1]', '[2107, 2107, -4*w^3 + 4*w^2 + 20*w - 9]', '[2108, 1054, 3*w^3 - w^2 - 10*w - 2]', '[2108, 1054, -2*w^3 + 3*w^2 + 4*w - 7]', '[2108, 2108, w^3 - 4]', '[2111, 2111, 3*w^3 - 6*w^2 - 9*w + 5]', '[2113, 2113, 4*w^3 - 4*w^2 - 18*w + 7]', '[2113, 2113, -2*w^3 + 2*w^2 + 12*w - 3]', '[2113, 2113, -w^3 - 2*w^2 + 9*w + 13]', '[2113, 2113, 6*w^3 - 9*w^2 - 25*w + 23]', '[2116, 46, w^3 + w^2 - 2*w - 6]', '[2116, 46, 3*w^3 - w^2 - 18*w - 6]', '[2116, 46, 2*w^3 - 3*w^2 - 12*w + 7]', '[2116, 46, w^2 + 2*w - 9]', '[2116, 92, 3*w^3 - 4*w^2 - 8*w + 4]', '[2116, 92, -w^3 + 4*w^2 - 2*w - 8]', '[2122, 2122, w^3 + 2*w^2 - 4*w - 10]', '[2122, 2122, -w^3 + 5*w^2 + w - 16]', '[2122, 2122, 6*w^3 - 2*w^2 - 27*w - 9]', '[2122, 2122, 4*w^2 - 7*w - 3]', '[2126, 2126, 2*w^3 - 17*w - 9]', '[2126, 2126, 3*w^3 - 4*w^2 - 12*w - 3]', '[2126, 2126, -w^3 + 4*w^2 - 6*w - 6]', '[2126, 2126, 2*w^3 - 5*w^2 - 2*w - 2]', '[2128, 266, -2*w^3 + 14*w - 2]', '[2128, 532, -w^3 - 3*w^2 + 9*w + 13]', '[2128, 532, -3*w^3 + 2*w^2 + 13*w + 10]', '[2128, 1064, w^3 + w^2 - 4*w + 4]', '[2128, 2128, -2*w^3 - 2*w^2 + 7*w + 2]', '[2137, 2137, 7*w^3 - 9*w^2 - 32*w + 17]', '[2141, 2141, 4*w^3 - 4*w^2 - 20*w + 3]', '[2143, 2143, -4*w^3 + 9*w^2 + 19*w - 15]', '[2143, 2143, -4*w^3 + 9*w^2 + 19*w - 19]', '[2146, 2146, 5*w^3 - 7*w^2 - 23*w + 12]', '[2146, 2146, -2*w^3 + 4*w^2 + w - 5]', '[2153, 2153, 4*w^3 - 5*w^2 - 15*w + 5]', '[2174, 2174, -w^3 + 2*w^2 - 7]', '[2174, 2174, w^3 - w^2 - 9*w + 4]', '[2176, 68, 2*w^3 - 4*w^2 - 10*w + 16]', '[2176, 68, -6*w^3 + 6*w^2 + 26*w - 2]', '[2176, 136, -4*w^3 + 2*w^2 + 22*w + 4]', '[2176, 136, -3*w^3 + 5*w^2 + 5*w + 3]', '[2176, 272, -2*w^3 + 4*w^2 + 12*w - 8]', '[2176, 544, -w^3 - 2*w^2 + w + 6]', '[2176, 1088, -3*w^3 + 3*w^2 + 8*w - 4]', '[2176, 2176, w^3 + 2*w + 4]', '[2177, 2177, 2*w^3 - 4*w^2 - 8*w - 1]', '[2177, 2177, -2*w^3 + w^2 + 13*w - 1]', '[2182, 2182, 2*w^2 + w - 9]', '[2182, 2182, -4*w^3 + 4*w^2 + 17*w - 8]', '[2182, 2182, 4*w^3 - 6*w^2 - 13*w + 8]', '[2182, 2182, -4*w^2 + w + 13]', '[2183, 2183, -6*w^3 + 6*w^2 + 28*w - 1]', '[2186, 2186, 2*w^3 - 6*w^2 - 5*w + 4]', '[2186, 2186, -2*w^2 - w - 3]', '[2188, 1094, -4*w^3 + 5*w^2 + 13*w - 16]', '[2188, 1094, 2*w^3 - 3*w^2 - 6*w - 5]', '[2188, 1094, -2*w^3 + 9*w^2 - 4*w - 7]', '[2188, 1094, 5*w^2 + 3*w - 8]', '[2188, 2188, 6*w^3 - 11*w^2 - 26*w + 20]', '[2188, 2188, 3*w^3 - w^2 - 11*w + 6]', '[2192, 274, -2*w^3 + 2*w^2 + 12*w - 2]', '[2192, 274, 6*w^3 - 6*w^2 - 24*w - 10]', '[2192, 548, -w^3 - w^2 + 9*w + 11]', '[2192, 548, -w^3 + 7*w^2 - 7*w - 9]', '[2192, 548, 3*w^3 - 6*w^2 - 7*w + 10]', '[2192, 548, 5*w^3 - 10*w^2 - 9*w - 2]', '[2192, 1096, -3*w^3 + 3*w^2 + 10*w]', '[2192, 1096, -w^3 + w^2 + 2*w - 8]', '[2192, 2192, 3*w^3 - 6*w^2 - 12*w + 8]', '[2192, 2192, -w^3 + 2*w^2 - 2*w + 4]', '[2194, 2194, 3*w^3 - 4*w^2 - 8*w + 1]', '[2194, 2194, -2*w^3 + 6*w^2 + 7*w - 20]', '[2198, 2198, -3*w^3 - w^2 + 9*w]', '[2198, 2198, 3*w^3 - 2*w^2 - 10*w + 9]', '[2201, 2201, 4*w^3 - 4*w^2 - 16*w + 3]', '[2201, 2201, -3*w^2 + 5*w + 11]', '[2203, 2203, -6*w - 1]', '[2203, 2203, -3*w^3 + 5*w^2 + 16*w - 3]', '[2204, 1102, 2*w^3 - 5*w^2 - 8*w + 5]', '[2204, 1102, w^3 + 3*w^2 - 4*w - 6]', '[2204, 2204, w^3 + 2*w^2 - 6*w]', '[2209, 2209, -3*w^2 + 3*w + 17]', '[2216, 554, -w^3 - w^2 + 11*w - 1]', '[2216, 554, -11*w^3 + 18*w^2 + 47*w - 36]', '[2216, 1108, 16*w^3 - 25*w^2 - 63*w + 54]', '[2216, 2216, -7*w^3 + 9*w^2 + 27*w - 18]', '[2218, 2218, 5*w^2 - 4*w - 2]', '[2218, 2218, 3*w^3 - 8*w^2 - 8*w + 23]', '[2218, 2218, w^3 + 4*w^2 - 4*w - 5]', '[2218, 2218, -7*w^3 + 9*w^2 + 33*w - 20]', '[2219, 2219, w^3 - 5*w^2 + 6*w + 7]', '[2224, 278, 4*w^3 - 2*w^2 - 22*w - 6]', '[2224, 556, -w^3 + 4*w^2 - w - 10]', '[2224, 556, 7*w^3 - w^2 - 39*w - 25]', '[2224, 1112, 5*w^3 - 3*w^2 - 22*w - 8]', '[2224, 2224, 2*w^3 - 2*w^2 - 5*w - 6]', '[2228, 1114, -2*w^3 + 7*w^2 - 7]', '[2228, 1114, -5*w^3 + 11*w^2 + 22*w - 22]', '[2228, 1114, 6*w^3 - 15*w^2 - 6*w + 7]', '[2228, 1114, 6*w^3 - 11*w^2 - 25*w + 20]', '[2228, 2228, 9*w^3 - 12*w^2 - 36*w + 28]', '[2228, 2228, -8*w^3 + 11*w^2 + 34*w - 28]', '[2234, 2234, -w^3 - 2*w^2 + 10*w + 2]', '[2234, 2234, -w^3 + w^2 + 5*w - 8]', '[2234, 2234, -2*w^3 - 2*w^2 + 13*w + 11]', '[2234, 2234, 3*w^3 - 4*w^2 - 14*w + 1]', '[2237, 2237, 7*w^3 - 7*w^2 - 34*w + 9]', '[2242, 2242, -3*w^3 + 2*w^2 + 10*w + 2]', '[2242, 2242, 2*w^3 - 4*w^2 - 3*w + 7]', '[2243, 2243, w^3 + 3*w^2 - 4*w - 9]', '[2243, 2243, -6*w^3 + 7*w^2 + 25*w - 9]', '[2252, 1126, w^3 - 5*w^2 - 2*w + 6]', '[2252, 1126, -2*w^3 - w^2 + 8*w + 1]', '[2252, 1126, -4*w^3 - w^2 + 21*w + 16]', '[2252, 1126, -4*w^3 + 5*w^2 + 18*w - 3]', '[2252, 2252, -7*w^3 + 9*w^2 + 29*w - 18]', '[2252, 2252, -3*w^3 + w^2 + 15*w + 2]', '[2257, 2257, 5*w^3 - 5*w^2 - 18*w + 15]', '[2257, 2257, 8*w^3 - 11*w^2 - 35*w + 27]', '[2258, 2258, -4*w^3 + 8*w^2 + 13*w - 19]', '[2258, 2258, -2*w^2 + w - 3]', '[2258, 2258, 6*w^3 - 8*w^2 - 29*w + 20]', '[2258, 2258, 3*w^3 - 8*w^2 - 6*w + 6]', '[2261, 2261, 2*w^3 - 2*w^2 - 8*w + 9]', '[2264, 566, -3*w^3 + 8*w^2 + 5*w - 12]', '[2264, 566, 3*w^3 - w^2 - 17*w - 1]', '[2264, 1132, 4*w^3 - 5*w^2 - 15*w - 2]', '[2264, 2264, 2*w^3 - 5*w^2 - 4]', '[2268, 42, -3*w^2 + 9*w]', '[2268, 42, -3*w^2 + 6*w + 9]', '[2268, 84, -3*w^3 + 3*w^2 + 9*w + 6]', '[2269, 2269, -3*w^3 + 2*w^2 + 17*w - 1]', '[2272, 284, -4*w^3 + 14*w + 6]', '[2272, 284, 2*w^2 - 8*w - 4]', '[2272, 284, w^3 - w^2 + w + 5]', '[2272, 284, 3*w^3 - 3*w^2 - 9*w - 1]', '[2272, 284, -2*w^3 + 4*w + 4]', '[2272, 284, 2*w^3 - 16*w - 10]', '[2272, 568, w^3 + 2*w^2 - 9*w - 14]', '[2272, 568, -5*w^3 + 4*w^2 + 21*w - 2]', '[2272, 1136, 2*w^3 - 5*w^2 - 9*w + 14]', '[2272, 1136, 3*w^3 - 3*w^2 - 16*w + 4]', '[2272, 2272, -3*w^3 + 3*w^2 + 17*w + 2]', '[2272, 2272, 3*w^3 - 14*w - 12]', '[2279, 2279, 5*w^3 - 11*w^2 - 18*w + 29]', '[2279, 2279, -2*w^3 + 3*w^2 + 3*w + 5]', '[2282, 2282, -3*w^3 + 4*w^2 + 12*w + 2]', '[2282, 2282, w^3 - 2*w^2 - 8*w - 6]', '[2282, 2282, 2*w^3 - 6*w^2 - 3*w + 9]', '[2282, 2282, 2*w^3 - 9*w + 1]', '[2284, 1142, 2*w^3 + w^2 - 8*w - 9]', '[2284, 1142, 3*w^3 - 3*w^2 - 10*w + 2]', '[2284, 2284, 5*w - 6]', '[2287, 2287, -4*w^3 + 5*w^2 + 23*w - 21]', '[2294, 2294, -5*w^3 + 6*w^2 + 20*w - 5]', '[2294, 2294, -3*w^3 - w^2 + 19*w + 16]', '[2303, 2303, -3*w^3 + 9*w^2 + 4*w - 5]', '[2306, 2306, 4*w^3 + 2*w^2 - 17*w - 13]', '[2306, 2306, w^3 + 4*w - 2]', '[2306, 2306, 3*w^3 - 12*w - 2]', '[2306, 2306, 2*w^3 - w + 3]', '[2308, 1154, -w^2 - 2*w - 5]', '[2308, 1154, 4*w^3 + w^2 - 17*w - 8]', '[2308, 2308, w^3 + 3*w^2 - 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16]', '[2936, 2936, -2*w^2 - w + 10]', '[2941, 2941, -4*w^2 + 2*w + 21]', '[2941, 2941, w^3 + 2*w^2 - 3*w + 3]', '[2942, 2942, -w^3 - 2*w - 5]', '[2942, 2942, 3*w^3 - 10*w^2 + 2*w + 1]', '[2942, 2942, -w^2 - 6*w + 2]', '[2942, 2942, 6*w^3 - 10*w^2 - 23*w + 16]', '[2954, 2954, w^3 - 4*w + 6]', '[2954, 2954, -10*w^3 + 14*w^2 + 39*w - 29]', '[2954, 2954, -4*w^3 + 4*w^2 + 19*w - 13]', '[2954, 2954, 3*w^3 - 4*w^2 - 8*w + 14]', '[2962, 2962, -2*w^3 + 2*w^2 + w - 4]', '[2962, 2962, -2*w^2 - 7*w - 1]', '[2963, 2963, 5*w^2 - 9*w - 5]', '[2963, 2963, 7*w^3 - 10*w^2 - 27*w + 25]', '[2968, 742, w^3 - 11*w - 8]', '[2968, 742, 3*w^3 - 3*w^2 - 9*w + 1]', '[2968, 1484, 7*w^3 - 5*w^2 - 36*w - 8]', '[2968, 2968, -w^3 + 4*w^2 - 16]', '[2969, 2969, 4*w^3 - 7*w^2 - 15*w + 9]', '[2971, 2971, 6*w^3 - 11*w^2 - 27*w + 19]', '[2971, 2971, -5*w^3 + 6*w^2 + 23*w - 15]', '[2972, 1486, 2*w^3 + w^2 - 16*w - 7]', '[2972, 1486, 4*w^3 - 7*w^2 - 21*w + 8]', '[2972, 2972, -5*w^3 + 7*w^2 + 17*w - 18]', '[2974, 2974, -w^3 + 6*w^2 + 2*w - 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30]', '[3032, 3032, -w^3 - 2*w + 4]', '[3032, 3032, w^3 - 5*w^2 - 3*w + 18]', '[3037, 3037, -2*w^3 + 6*w^2 + 4*w - 9]', '[3037, 3037, -8*w^3 + 11*w^2 + 35*w - 25]', '[3038, 3038, 4*w^3 - 6*w^2 - 13*w - 1]', '[3038, 3038, 3*w^3 - 8*w^2 - 2]', '[3046, 3046, -w^3 + 5*w^2 - w - 16]', '[3046, 3046, 7*w^3 - 4*w^2 - 36*w - 9]', '[3049, 3049, 2*w^3 - 5*w^2 - 7*w + 3]', '[3052, 1526, 9*w^3 - 13*w^2 - 32*w + 26]', '[3052, 1526, -4*w^3 + 9*w^2 + 20*w - 19]', '[3052, 3052, -4*w^3 + 4*w^2 + 11*w - 10]', '[3053, 3053, -w^3 + 5*w^2 + 2*w - 15]', '[3053, 3053, 4*w^3 - 10*w^2 - 2*w - 1]', '[3053, 3053, 4*w^3 - 8*w^2 - 18*w + 19]', '[3053, 3053, 7*w^3 - 13*w^2 - 32*w + 25]', '[3056, 382, -6*w^3 + 12*w^2 + 18*w - 22]', '[3056, 764, 5*w^3 - 6*w^2 - 19*w + 2]', '[3056, 764, 5*w^3 - 5*w^2 - 25*w + 7]', '[3056, 1528, -w^2 + 7*w - 10]', '[3056, 3056, 2*w^3 + w^2 - 16*w - 4]', '[3061, 3061, -5*w^3 - 2*w^2 + 33*w + 17]', '[3061, 3061, -w^3 - 2*w^2 + 5*w + 13]', '[3062, 3062, 3*w^3 - 2*w^2 - 8*w + 2]', '[3062, 3062, -3*w^3 + 2*w^2 + 8*w + 1]', '[3062, 3062, 2*w^3 + 2*w^2 - 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44]', '[3904, 488, -8*w^3 + 10*w^2 + 28*w - 24]', '[3904, 976, 5*w^3 - 8*w^2 - 17*w + 18]', '[3904, 976, 5*w^3 - 2*w^2 - 15*w + 6]', '[3904, 1952, -2*w^3 + 7*w^2 + 13*w - 14]', '[3904, 1952, -6*w^3 + 9*w^2 + 29*w - 22]', '[3904, 3904, w^3 - 3*w^2 - 7*w + 10]', '[3904, 3904, -5*w^2 - 8*w + 4]', '[3907, 3907, -w^3 + 4*w^2 + 5*w - 13]', '[3907, 3907, 4*w^3 - 10*w^2 - 18*w + 23]', '[3908, 1954, 2*w^3 - 7*w^2 - w + 8]', '[3908, 1954, -2*w^3 - w^2 + 12*w + 3]', '[3908, 3908, -8*w^3 + 10*w^2 + 35*w - 18]', '[3914, 3914, 2*w^3 - 4*w^2 + w + 5]', '[3914, 3914, -4*w^3 + 5*w^2 + 20*w - 6]', '[3917, 3917, -2*w^3 - 3*w^2 + 15*w + 23]', '[3917, 3917, -2*w^3 + 4*w^2 + 12*w + 1]', '[3919, 3919, -3*w^3 - 2*w^2 + 15*w + 11]', '[3922, 3922, 4*w^3 - 19*w - 15]', '[3922, 3922, 4*w^3 - 4*w^2 - 15*w]', '[3923, 3923, 4*w^2 - 2*w - 13]', '[3928, 982, w^3 - 4*w^2 + 3*w + 8]', '[3928, 982, -3*w^3 + w^2 + 19*w + 7]', '[3928, 1964, 7*w^3 - 9*w^2 - 24*w + 24]', '[3928, 3928, -9*w^3 + 16*w^2 + 40*w - 32]', '[3941, 3941, -2*w^3 + 6*w^2 + 2*w - 13]', '[3941, 3941, 2*w^3 - 3*w^2 - w - 3]', '[3943, 3943, 2*w^2 + 2*w - 9]', '[3943, 3943, 4*w^3 - 5*w^2 - 13*w + 7]', '[3944, 986, w^3 - w^2 - 5*w + 9]', '[3944, 986, -3*w^3 + 15*w + 4]', '[3944, 1972, w^3 - 5*w^2 + 8]', '[3944, 3944, -3*w^3 + 4*w^2 + 14*w + 4]', '[3946, 3946, -7*w^3 + 11*w^2 + 25*w - 16]', '[3946, 3946, w^3 - 4*w^2 - 4*w + 17]', '[3947, 3947, w^3 + 4*w^2 - 11*w - 15]', '[3947, 3947, -3*w^3 + 2*w^2 + 17*w - 7]', '[3958, 3958, 2*w^3 - 2*w^2 - 3*w + 7]', '[3958, 3958, w^3 - 2*w^2 - 10*w - 1]', '[3958, 3958, -w^3 + 2*w^2 + 10*w - 6]', '[3958, 3958, -2*w^3 + 3*w^2 + 2*w - 6]', '[3959, 3959, 4*w^3 - 7*w^2 - 13*w + 19]', '[3959, 3959, -11*w^3 + 20*w^2 + 49*w - 41]', '[3962, 3962, w^3 - 2*w^2 + 2*w + 6]', '[3962, 3962, -4*w^3 + 6*w^2 + 11*w - 7]', '[3967, 3967, -2*w^3 + 3*w^2 + 13*w - 1]', '[3967, 3967, 6*w^3 - 12*w^2 - 26*w + 27]', '[3968, 124, 2*w^3 + 2*w^2 - 14*w - 6]', '[3968, 124, -2*w^3 + 8*w^2 - 2*w - 8]', '[3968, 248, w^3 - 3*w^2 + w - 5]', '[3968, 248, 6*w^3 - 6*w^2 - 28*w + 8]', '[3968, 496, 4*w^3 - 22*w - 20]', '[3968, 992, 5*w^3 - 6*w^2 - 21*w + 2]', '[3968, 1984, -w^3 + w^2 + 8*w - 12]', '[3968, 3968, 3*w^3 - 18*w - 4]', '[3969, 147, -3*w^2 + 3*w - 3]', '[3973, 3973, -2*w^3 + 5*w^2 + 3*w - 11]', '[3973, 3973, w^3 - 6*w^2 - 3*w + 7]', '[3976, 994, -5*w^3 + 8*w^2 + 15*w + 4]', '[3976, 994, 3*w^3 - 11*w^2 + 3*w + 9]', '[3976, 994, w^3 + 4*w^2 - 9*w - 8]', '[3976, 994, 3*w^3 - 7*w^2 - 7*w + 3]', '[3976, 1988, -5*w^3 + w^2 + 26*w + 20]', '[3976, 1988, 6*w^3 - 3*w^2 - 29*w - 6]', '[3976, 3976, -w^3 + 5*w^2 + w - 14]', '[3976, 3976, -5*w^3 + 6*w^2 + 20*w]', '[3992, 998, 7*w^3 - 14*w^2 - 33*w + 24]', '[3992, 998, 3*w^3 - 5*w^2 - 11*w + 1]', '[3992, 1996, -11*w^3 + 15*w^2 + 42*w - 36]', '[3992, 3992, 6*w^3 - 4*w^2 - 21*w + 10]', '[3994, 3994, 2*w^3 - 4*w^2 - 5*w - 4]', '[3994, 3994, 4*w^3 - 4*w^2 - 19*w + 12]', '[3994, 3994, 4*w^3 - 4*w^2 - 19*w - 7]', '[3994, 3994, -2*w^3 + 6*w^2 + 7*w - 13]', '[3997, 3997, -2*w^3 - w^2 + 13*w + 3]', '[3998, 3998, 8*w^3 - 11*w^2 - 36*w + 22]', '[3998, 3998, -2*w^3 + 4*w^2 + 3*w + 5]', '[3998, 3998, -3*w^3 + 8*w^2 + 8*w - 25]', '[3998, 3998, -9*w^3 + 11*w^2 + 39*w - 12]', '[4001, 4001, -9*w^3 + 14*w^2 + 37*w - 25]', '[4001, 4001, -7*w^3 + 9*w^2 + 32*w - 13]', '[4006, 4006, -w^3 + 2*w^2 + 8*w - 10]', '[4006, 4006, 4*w^3 - 4*w^2 - 15*w + 3]', '[4007, 4007, -7*w^3 + 8*w^2 + 29*w - 11]', '[4009, 4009, -5*w^3 + 5*w^2 + 20*w - 13]', '[4009, 4009, -5*w^3 + 9*w^2 + 10*w - 9]', '[4012, 2006, 2*w^3 - w^2 - 14*w + 3]', '[4012, 2006, 3*w^3 - w^2 - 12*w - 10]', '[4012, 4012, 4*w^3 - 6*w^2 - 11*w + 2]', '[4013, 4013, w^3 - 2*w^2 + w - 9]', '[4022, 4022, 3*w^3 - 6*w^2 - 2*w - 2]', '[4022, 4022, w^3 + 4*w^2 - 8*w - 19]', '[4022, 4022, 4*w^3 - 4*w^2 - 13*w - 3]', '[4022, 4022, 5*w^3 - 5*w^2 - 23*w + 8]', '[4024, 1006, -3*w^3 + 7*w^2 + 7*w - 15]', '[4024, 1006, 3*w^3 - 2*w^2 - 21*w + 12]', '[4024, 2012, w^3 - w^2 - 8]', '[4024, 4024, 6*w^3 - 12*w^2 - 13*w + 10]', '[4027, 4027, 5*w^3 + 2*w^2 - 31*w - 17]', '[4028, 2014, -w^3 + 5*w^2 + 2*w - 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2*w^2 - 13*w]', '[4066, 4066, -w^3 - 2*w^2 + 8*w - 1]', '[4066, 4066, -5*w^2 + 6]', '[4066, 4066, 6*w^3 - 12*w^2 - 23*w + 28]', '[4066, 4066, -3*w^3 + 8*w^2 + 10*w - 9]', '[4067, 4067, -3*w^3 + 11*w - 1]', '[4067, 4067, 7*w^3 - 10*w^2 - 27*w + 17]', '[4072, 1018, -3*w^3 + 12*w^2 - 9*w - 8]', '[4072, 1018, w^3 + 5*w^2 - 17*w - 13]', '[4072, 2036, 3*w^3 - 5*w^2 - 16*w + 8]', '[4072, 4072, -5*w^3 + 8*w^2 + 16*w - 16]', '[4073, 4073, -w^3 + 6*w^2 - 3*w - 17]', '[4073, 4073, 7*w^3 - 9*w^2 - 28*w + 15]', '[4079, 4079, 6*w^3 - 5*w^2 - 29*w - 5]', '[4084, 2042, 4*w^3 - 7*w^2 - 14*w + 7]', '[4084, 2042, -w^3 - w^2 + 12*w - 10]', '[4084, 2042, 4*w^3 - 5*w^2 - 12*w - 9]', '[4084, 2042, -5*w^3 + 9*w^2 + 18*w - 26]', '[4084, 4084, w^3 + 2*w^2 - 10*w]', '[4084, 4084, 10*w^3 - 16*w^2 - 41*w + 30]', '[4093, 4093, 5*w^3 - 7*w^2 - 24*w + 15]', '[4093, 4093, 6*w^3 - 11*w^2 - 21*w + 25]', '[4096, 8, 8]', '[4096, 16, -5*w^3 + 3*w^2 + 23*w + 1]', '[4096, 16, -4*w^3 + 8*w^2 + 12*w - 8]', '[4096, 16, 2*w^3 - 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39*w + 29]', '[4157, 4157, 5*w^3 - 5*w^2 - 24*w + 9]', '[4159, 4159, 9*w^3 - 6*w^2 - 45*w - 7]', '[4162, 4162, -2*w^3 + 6*w^2 - 5*w - 3]', '[4162, 4162, -2*w^3 + 4*w^2 + 13*w + 3]', '[4162, 4162, -2*w^3 + 5*w^2 + 4*w - 14]', '[4162, 4162, 2*w^2 + w + 4]', '[4166, 4166, 6*w^3 - 4*w^2 - 31*w - 3]', '[4166, 4166, -2*w^2 - 9*w - 7]', '[4166, 4166, -3*w^3 + 8*w^2 + 6*w - 18]', '[4166, 4166, -2*w^2 - 7*w]', '[4168, 1042, 7*w^3 - 12*w^2 - 31*w + 36]', '[4168, 1042, -11*w^3 + 13*w^2 + 47*w - 13]', '[4168, 2084, -7*w^3 + 5*w^2 + 36*w]', '[4168, 4168, 5*w^3 - 12*w^2 - 12*w + 24]', '[4171, 4171, 9*w^3 - 11*w^2 - 42*w + 21]', '[4171, 4171, 7*w^3 - 6*w^2 - 33*w + 3]', '[4172, 2086, 10*w^3 - 15*w^2 - 37*w + 32]', '[4172, 2086, -6*w^3 + 11*w^2 + 28*w - 21]', '[4172, 2086, -6*w^3 + 5*w^2 + 22*w + 9]', '[4172, 2086, -5*w^3 + 9*w^2 + 8*w + 2]', '[4172, 2086, -4*w^3 + w^2 + 22*w + 5]', '[4172, 2086, 2*w^3 - 7*w^2 - w + 12]', '[4172, 2086, -6*w^3 + 15*w^2 + 7*w - 8]', '[4172, 2086, -2*w^3 + 5*w^2 + 2*w + 3]', '[4172, 4172, -5*w^3 + 5*w^2 + 17*w - 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3*w^2 - 16*w + 7]', '[4204, 2102, -2*w^3 + 7*w^2 - 6*w - 3]', '[4204, 2102, 4*w^3 - 9*w^2 - 21*w + 16]', '[4204, 4204, 2*w^3 - 5*w^2 - 10*w + 4]', '[4204, 4204, -8*w^3 + 11*w^2 + 28*w - 24]', '[4207, 4207, -5*w^3 + 5*w^2 + 22*w + 3]', '[4207, 4207, -2*w^3 + 8*w^2 - 4*w + 1]', '[4208, 526, 2*w^3 - 2*w^2 - 8*w + 10]', '[4208, 1052, -5*w^3 + 10*w^2 + 17*w - 14]', '[4208, 1052, -3*w^3 + 5*w^2 + 15*w - 3]', '[4208, 2104, w^3 - 5*w^2 - 2*w + 8]', '[4208, 4208, -w^3 - 2*w^2 + 10*w - 4]', '[4214, 4214, -3*w^3 + 2*w^2 + 14*w - 7]', '[4214, 4214, -5*w + 8]', '[4214, 4214, w^2 + 2*w + 6]', '[4214, 4214, -4*w^3 + 4*w^2 + 15*w - 1]', '[4216, 1054, 3*w^3 - 6*w^2 - 5*w - 4]', '[4216, 1054, 5*w^3 - 5*w^2 - 21*w - 7]', '[4216, 2108, -5*w^3 + 7*w^2 + 18*w - 20]', '[4216, 4216, 8*w^3 - 14*w^2 - 33*w + 26]', '[4217, 4217, -5*w^3 + 5*w^2 + 18*w + 5]', '[4217, 4217, w^3 + 3*w^2 - 6*w - 9]', '[4217, 4217, -2*w^3 + 4*w + 5]', '[4217, 4217, 5*w^3 - 10*w^2 - 7*w - 5]', '[4222, 4222, -3*w^3 + 6*w^2 + 2*w - 6]', '[4222, 4222, -7*w - 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12]', '[4286, 4286, -2*w^3 + 2*w^2 + 13*w - 4]', '[4286, 4286, 8*w^3 - 14*w^2 - 29*w + 23]', '[4289, 4289, -7*w^3 + 9*w^2 + 30*w - 19]', '[4289, 4289, 7*w^3 - 7*w^2 - 30*w + 1]', '[4291, 4291, w^3 + 3*w^2 - 10*w - 17]', '[4291, 4291, 2*w^3 - 6*w^2 - 6*w + 11]', '[4291, 4291, -6*w^3 + 8*w^2 + 26*w - 9]', '[4291, 4291, -3*w^3 + 5*w^2 + 4*w + 3]', '[4292, 2146, -4*w^3 + 9*w^2 + 16*w - 19]', '[4292, 2146, 3*w^3 - 5*w^2 - 16*w + 2]', '[4292, 4292, -2*w^3 + 2*w^2 + 7*w - 10]', '[4293, 159, 6*w^3 - 9*w^2 - 21*w + 15]', '[4297, 4297, -10*w^3 + 15*w^2 + 39*w - 25]', '[4306, 4306, 3*w^3 - 14*w - 3]', '[4306, 4306, -w^3 + 5*w^2 + w - 8]', '[4309, 4309, -7*w^3 + 7*w^2 + 32*w - 1]', '[4313, 4313, -8*w^3 + 11*w^2 + 37*w - 25]', '[4319, 4319, -5*w^3 + 6*w^2 + 19*w + 3]', '[4321, 4321, -3*w^3 + 2*w^2 - w - 3]', '[4321, 4321, 7*w^2 - 5*w - 1]', '[4321, 4321, -w^3 - w^2 + 4*w - 5]', '[4321, 4321, 7*w^3 - 10*w^2 - 25*w + 19]', '[4331, 4331, 3*w^3 + 2*w^2 - 21*w - 17]', '[4331, 4331, 2*w^3 - 6*w - 7]', '[4331, 4331, w^2 + 3*w - 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9*w]', '[4364, 2182, -4*w^3 + w^2 + 13*w]', '[4364, 2182, 4*w^3 - 5*w^2 - 12*w + 13]', '[4364, 4364, -2*w^3 + 7*w^2 + 4*w - 8]', '[4364, 4364, -3*w^2 - 4*w + 8]', '[4366, 4366, -2*w^2 + 5*w + 12]', '[4366, 4366, -6*w^3 + 8*w^2 + 23*w - 13]', '[4372, 2186, 7*w^3 - 9*w^2 - 26*w + 18]', '[4372, 2186, 6*w^3 - 13*w^2 - 8*w + 5]', '[4372, 4372, -7*w^3 + 12*w^2 + 32*w - 28]', '[4373, 4373, 6*w - 7]', '[4375, 35, -5*w^3 + 5*w^2 + 20*w - 5]', '[4376, 1094, 7*w^3 - 10*w^2 - 27*w + 16]', '[4376, 1094, -w^3 + 5*w^2 + 3*w - 19]', '[4376, 1094, w^3 - 11*w + 4]', '[4376, 1094, -w^3 + 3*w^2 - w - 9]', '[4376, 2188, 3*w^2 - 5*w - 14]', '[4376, 2188, 2*w^3 - w^2 - 5*w - 6]', '[4376, 4376, 3*w^3 - 3*w^2 - 17*w + 6]', '[4376, 4376, 4*w^3 - 7*w^2 - 8*w + 4]', '[4384, 548, -2*w^3 + 4*w^2 + 12*w + 2]', '[4384, 548, w^3 - 5*w^2 - 3*w + 9]', '[4384, 548, 6*w^3 - 12*w^2 - 8*w + 2]', '[4384, 548, 2*w^2 + 4]', '[4384, 548, 5*w^3 - 5*w^2 - 15*w - 7]', '[4384, 548, 2*w^3 - 8*w - 12]', '[4384, 1096, -7*w^3 + 10*w^2 + 31*w - 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w - 9]', '[5131, 5131, 3*w^3 - 6*w^2 - 5*w + 9]', '[5132, 2566, 5*w^3 - 5*w^2 - 16*w + 10]', '[5132, 2566, 8*w^3 - 19*w^2 - 6*w + 7]', '[5132, 5132, -3*w^3 + 6*w^2 + 18*w - 16]', '[5138, 5138, 6*w^3 - 10*w^2 - 21*w + 12]', '[5138, 5138, 2*w^2 - w - 15]', '[5141, 5141, 3*w^3 - w^2 - 14*w + 1]', '[5143, 5143, -5*w^3 + 5*w^2 + 22*w - 9]', '[5146, 5146, -4*w^3 + 6*w^2 + 11*w - 5]', '[5146, 5146, 5*w^2 - 14]', '[5146, 5146, 8*w^3 - 15*w^2 - 32*w + 38]', '[5146, 5146, 7*w^3 - 12*w^2 - 30*w + 21]', '[5147, 5147, -4*w^3 + 4*w^2 + 14*w + 1]', '[5153, 5153, -12*w^3 + 13*w^2 + 55*w - 13]', '[5156, 2578, -6*w^3 + 9*w^2 + 23*w - 24]', '[5156, 2578, 4*w^3 - 9*w^2 - 4*w - 3]', '[5156, 2578, 10*w^3 - 15*w^2 - 45*w + 24]', '[5156, 2578, 4*w^3 - w^2 - 24*w - 7]', '[5156, 5156, 10*w^3 - 17*w^2 - 40*w + 32]', '[5156, 5156, -12*w^3 + 19*w^2 + 46*w - 44]', '[5162, 5162, 4*w^2 - 7*w - 13]', '[5162, 5162, 8*w^3 - 4*w^2 - 37*w - 16]', '[5167, 5167, -w^3 + 11*w + 3]', '[5167, 5167, -w^3 - 4*w^2 + 3*w + 9]', '[5168, 646, 4*w^3 - 6*w^2 - 10*w + 6]', '[5168, 1292, w^3 + w^2 - w - 7]', '[5168, 1292, -w^3 + 2*w^2 - 3*w - 6]', '[5168, 2584, -w^3 + 3*w^2 - 6*w]', '[5168, 5168, -5*w^3 + 9*w^2 + 17*w - 22]', '[5171, 5171, -2*w^3 + w^2 + 15*w + 5]', '[5176, 1294, -3*w^3 + 6*w^2 + 7*w - 12]', '[5176, 1294, 3*w^3 - 3*w^2 - 17*w + 1]', '[5176, 2588, 2*w^3 - w^2 - 17*w + 10]', '[5176, 5176, w^3 - w^2 + w - 6]', '[5179, 5179, 11*w^3 - 13*w^2 - 48*w + 19]', '[5182, 5182, -w^3 + 5*w^2 + w - 12]', '[5182, 5182, 5*w^3 - 2*w^2 - 24*w - 5]', '[5184, 12, 6*w^3 - 6*w^2 - 24*w + 12]', '[5184, 12, 3*w^3 + 3*w^2 - 21*w - 15]', '[5184, 12, 6*w^2 - 12*w - 6]', '[5184, 24, -6*w^3 + 12*w^2 + 24*w - 24]', '[5184, 48, 3*w^3 - 6*w^2 - 15*w + 6]', '[5184, 96, -3*w^3 + 3*w^2 + 12*w - 12]', '[5184, 192, 3*w^3 - 12*w]', '[5186, 5186, -2*w^3 + 6*w^2 + 7*w - 4]', '[5186, 5186, 5*w^3 + 2*w^2 - 22*w - 15]', '[5186, 5186, 2*w^2 + 3*w + 5]', '[5186, 5186, 3*w^3 + w^2 - 13*w - 4]', '[5188, 2594, 7*w^3 - 9*w^2 - 28*w + 14]', '[5188, 2594, 8*w^3 - 15*w^2 - 16*w + 1]', '[5188, 5188, -6*w^3 + 10*w^2 + 27*w - 26]', '[5189, 5189, 11*w^3 - 13*w^2 - 50*w + 21]', '[5189, 5189, 3*w^3 - 6*w^2 - 11*w + 5]', '[5194, 5194, -6*w^2 + 5*w + 25]', '[5194, 5194, -12*w^3 + 6*w^2 + 61*w + 24]', '[5201, 5201, -5*w^3 + 6*w^2 + 25*w - 1]', '[5204, 2602, -7*w^3 + 15*w^2 + 30*w - 34]', '[5204, 2602, 2*w^3 - w^2 - 6*w - 9]', '[5204, 5204, 14*w^3 - 20*w^2 - 55*w + 42]', '[5206, 5206, -w^3 - 2*w^2 + 10*w - 2]', '[5206, 5206, 4*w^2 - 11*w - 5]', '[5206, 5206, -4*w^2 + 3*w + 9]', '[5206, 5206, 5*w^2 - 6*w - 22]', '[5209, 5209, 7*w^3 - 13*w^2 - 28*w + 37]', '[5212, 2606, -4*w^3 + 15*w^2 - 8*w - 7]', '[5212, 2606, 6*w^3 - 7*w^2 - 25*w + 16]', '[5212, 2606, -w^3 + 3*w^2 - 6*w - 2]', '[5212, 2606, w^2 - 8*w - 7]', '[5212, 5212, -2*w^3 + 5*w^2 + 4*w - 16]', '[5212, 5212, -8*w^3 + 15*w^2 + 30*w - 28]', '[5216, 652, -6*w^3 + 12*w^2 + 20*w - 28]', '[5216, 652, -6*w^3 + 24*w + 14]', '[5216, 652, -w^3 + 5*w^2 - 5*w - 9]', '[5216, 652, -w^3 + w^2 + 11*w + 3]', '[5216, 652, 8*w^3 - 8*w^2 - 38*w + 6]', '[5216, 652, -4*w^3 + 2*w^2 + 12*w + 4]', '[5216, 1304, -3*w^3 - 2*w^2 + 15*w + 18]', '[5216, 1304, 7*w^3 - 6*w^2 - 31*w - 2]', '[5216, 2608, -w^3 + 3*w^2 + 6*w - 16]', '[5216, 2608, -5*w^3 + 5*w^2 + 20*w - 4]', '[5216, 5216, -3*w^3 + 20*w + 16]', '[5216, 5216, 5*w^3 - 2*w^2 - 28*w - 8]', '[5222, 5222, 7*w^3 - 12*w^2 - 32*w + 22]', '[5222, 5222, -18*w^3 + 30*w^2 + 75*w - 65]', '[5224, 1306, 5*w^3 - 6*w^2 - 19*w - 4]', '[5224, 1306, 7*w^3 - 3*w^2 - 35*w - 21]', '[5224, 2612, 7*w^3 - 11*w^2 - 32*w + 16]', '[5224, 5224, -8*w^3 + 12*w^2 + 31*w - 30]', '[5228, 2614, 4*w^3 + w^2 - 18*w - 15]', '[5228, 2614, 4*w^3 - 3*w^2 - 15*w]', '[5228, 5228, w^2 + 4*w - 8]', '[5237, 5237, 2*w^3 - 12*w + 5]', '[5239, 403, -4*w^2 + 2*w + 11]', '[5239, 403, -2*w^3 + 5*w^2 + 3*w + 3]', '[5242, 5242, -7*w^3 + 12*w^2 + 30*w - 35]', '[5242, 5242, 7*w^3 - 5*w^2 - 35*w]', '[5243, 5243, 4*w^3 - w^2 - 15*w + 9]', '[5243, 5243, 4*w^2 - 2*w - 9]', '[5246, 5246, 5*w^3 - 4*w^2 - 16*w - 6]', '[5246, 5246, -3*w^3 + 2*w^2 + 2*w + 2]', '[5246, 5246, 6*w^2 + 5*w - 1]', '[5246, 5246, -6*w^3 + 6*w^2 + 29*w + 1]', '[5246, 5246, 8*w^3 - 2*w^2 - 35*w - 19]', '[5246, 5246, -4*w^3 + 9*w + 3]', '[5246, 5246, 6*w^2 - w]', '[5246, 5246, 2*w^3 - 4*w^2 - 7*w + 16]', '[5249, 5249, w^3 - 3*w^2 - 6*w + 13]', '[5249, 5249, w^3 - w^2 - 10*w + 3]', '[5249, 5249, -w^3 + 7*w^2 - 6*w - 3]', '[5249, 5249, w^3 - 5*w - 11]', '[5251, 5251, -w^3 + 3*w - 7]', '[5254, 5254, 4*w^3 - 7*w^2 - 12*w + 2]', '[5254, 5254, 2*w^3 - 10*w^2 + 7*w + 12]', '[5254, 5254, 3*w^3 - 2*w^2 - 14*w - 11]', '[5254, 5254, -4*w^3 - 2*w^2 + 27*w + 13]', '[5257, 5257, -2*w^3 + 7*w^2 - w + 1]', '[5257, 5257, -5*w^2 + 7*w + 3]', '[5261, 5261, 8*w^3 - 16*w^2 - 28*w + 37]', '[5263, 5263, 4*w^3 - 6*w^2 - 20*w + 11]', '[5264, 658, 2*w^2 + 2*w - 10]', '[5264, 1316, 5*w^3 - 8*w^2 - 15*w + 10]', '[5264, 1316, 5*w^3 - 7*w^2 - 25*w + 17]', '[5264, 2632, -w^3 + 3*w^2 - 2*w - 8]', '[5264, 5264, 2*w^2 - 9*w + 2]', '[5266, 5266, 5*w^3 - 4*w^2 - 26*w - 2]', '[5266, 5266, 5*w^3 - 32*w - 19]', '[5266, 5266, -4*w^3 + 8*w^2 + 17*w - 23]', '[5266, 5266, w^3 + 3*w^2 - 15*w - 8]', '[5273, 5273, -4*w^3 + 12*w + 3]', '[5273, 5273, -8*w^3 + 13*w^2 + 33*w - 23]', '[5281, 5281, 5*w^3 - 6*w^2 - 19*w + 7]', '[5282, 5282, -9*w^3 - w^2 + 51*w + 40]', '[5282, 5282, -4*w^3 - 2*w^2 + 29*w + 15]', '[5284, 2642, -2*w^3 + 7*w^2 + 8*w - 11]', '[5284, 2642, w^3 - 5*w^2 - 8*w + 2]', '[5284, 2642, 5*w^3 - 9*w^2 - 22*w + 14]', '[5284, 2642, 6*w^3 - 13*w^2 - 10*w + 3]', '[5284, 5284, -6*w^3 + 8*w^2 + 25*w - 22]', '[5284, 5284, -w^3 - 2*w^2 + 4*w - 4]', '[5287, 5287, 2*w^3 - 5*w^2 - 9*w + 19]', '[5287, 5287, 3*w^3 - 5*w^2 - 6*w - 7]', '[5288, 1322, w^3 - 4*w^2 + 7*w]', '[5288, 1322, w^3 - 3*w^2 + 3*w + 7]', '[5288, 1322, 7*w^3 - 12*w^2 - 27*w + 20]', '[5288, 1322, -3*w^3 + 5*w^2 + 11*w - 17]', '[5288, 2644, -7*w^3 + 15*w^2 + 34*w - 28]', '[5288, 2644, -w^3 + 5*w^2 + 2*w - 12]', '[5288, 5288, 13*w^3 - 18*w^2 - 48*w + 40]', '[5288, 5288, 3*w^3 - 2*w^2 - 16*w + 8]', '[5294, 5294, -5*w^3 + 12*w^2 + 8*w - 7]', '[5294, 5294, 6*w^3 - 10*w^2 - 25*w + 28]', '[5296, 662, -2*w^3 - 2*w^2 + 16*w + 14]', '[5296, 1324, -w^3 - 2*w^2 + 13*w + 2]', '[5296, 1324, -5*w^3 + 7*w^2 + 17*w - 5]', '[5296, 2648, -9*w^3 + 15*w^2 + 40*w - 28]', '[5296, 5296, 13*w^3 - 20*w^2 - 50*w + 44]', '[5297, 5297, 8*w^3 - 46*w - 23]', '[5299, 5299, -w^2 - 3*w + 11]', '[5306, 5306, 5*w^3 - 12*w^2 - 10*w + 10]', '[5306, 5306, -w^3 + 6*w^2 - 27]', '[5306, 5306, -2*w^2 + 3*w - 5]', '[5306, 5306, 9*w^3 - 13*w^2 - 37*w + 20]', '[5308, 2654, 2*w^3 - 3*w^2 - 8*w + 13]', '[5308, 2654, -6*w^3 + 11*w^2 + 21*w - 16]', '[5308, 2654, 2*w^3 - w^2 - 14*w + 1]', '[5308, 2654, 4*w^3 - w^2 - 17*w - 12]', '[5308, 5308, w^3 - 5*w^2 - w + 10]', '[5308, 5308, 4*w^3 - 5*w^2 - 12*w]', '[5309, 5309, 5*w^3 - 9*w^2 - 26*w + 11]', '[5312, 332, 6*w^2 + 8*w - 2]', '[5312, 332, w^3 - 7*w^2 - 7*w + 11]', '[5312, 332, 2*w^3 + 2*w^2 - 4*w + 4]', '[5312, 332, -w^3 + 3*w^2 - w - 15]', '[5312, 332, -6*w^3 + 10*w^2 + 20*w - 20]', '[5312, 332, 4*w^3 - 6*w^2 - 20*w + 10]', '[5312, 664, -8*w^3 + 14*w^2 + 36*w - 24]', '[5312, 664, 4*w^3 - 4*w^2 - 14*w + 4]', '[5312, 1328, 11*w^3 - 16*w^2 - 43*w + 38]', '[5312, 1328, -w^3 + 2*w^2 + 9*w - 10]', '[5312, 2656, -6*w^3 + 5*w^2 + 23*w - 10]', '[5312, 2656, w^3 - w^2 - 10*w]', '[5312, 5312, 5*w^3 - 11*w^2 - 21*w + 22]', '[5312, 5312, -4*w^3 + 9*w^2 + 12*w - 28]', '[5323, 5323, 4*w^3 - 5*w^2 - 13*w + 5]', '[5323, 5323, 2*w^3 + 2*w^2 - 18*w - 7]', '[5326, 5326, 6*w^2 + 5*w - 3]', '[5326, 5326, w^3 + 4*w^2 - 4*w + 2]', '[5332, 2666, 6*w^3 - 5*w^2 - 26*w + 5]', '[5332, 2666, -4*w^3 + 9*w^2 + 15*w - 20]', '[5332, 2666, 4*w^3 - 5*w^2 - 10*w - 1]', '[5332, 2666, w^3 + 3*w^2 - 6*w - 18]', '[5332, 5332, 6*w^3 - 8*w^2 - 23*w + 10]', '[5332, 5332, 4*w^3 - 5*w^2 - 20*w]', '[5338, 5338, w^3 - 2*w^2 - 10*w + 5]', '[5338, 5338, 2*w^3 + w^2 - 4*w - 6]', '[5341, 5341, -5*w^3 + 5*w^2 + 24*w - 17]', '[5342, 5342, -4*w^3 + 6*w^2 + 17*w - 5]', '[5342, 5342, 2*w^3 - 2*w^2 - 11*w + 12]', '[5347, 5347, 3*w^3 - 11*w - 9]', '[5347, 5347, w^3 + 2*w^2 - 13*w - 5]', '[5348, 2674, w^3 - 5*w^2 - 2*w + 10]', '[5348, 2674, -6*w^3 + 11*w^2 + 22*w - 17]', '[5348, 5348, -2*w^3 + 13*w - 6]', '[5351, 5351, 3*w^3 + w^2 - 18*w - 7]', '[5362, 5362, 20*w^3 - 32*w^2 - 79*w + 69]', '[5362, 5362, -4*w^3 + 6*w^2 + 9*w - 1]', '[5362, 5362, -9*w^3 + 12*w^2 + 36*w - 22]', '[5362, 5362, w^3 - 5*w^2 - 3*w + 20]', '[5363, 5363, 5*w^3 - 8*w^2 - 15*w + 7]', '[5363, 5363, -8*w^3 + 15*w^2 + 31*w - 41]', '[5374, 5374, -3*w^3 - 2*w^2 + 16*w + 13]', '[5374, 5374, -2*w^3 - w^2 + 12*w + 2]', '[5377, 5377, w^3 - 7*w^2 + 6*w + 1]', '[5378, 5378, -10*w^3 + 10*w^2 + 47*w - 8]', '[5378, 5378, w^3 - 6*w^2 + 6*w + 11]', '[5383, 5383, -4*w^3 + 3*w^2 + 15*w + 1]', '[5383, 5383, 7*w^3 - 7*w^2 - 34*w + 11]', '[5389, 5389, 4*w^3 - 2*w^2 - 24*w + 5]', '[5392, 674, 4*w^3 - 4*w^2 - 20*w - 6]', '[5392, 674, 2*w^3 - 12*w^2 + 14*w + 14]', '[5392, 674, -8*w^3 + 10*w^2 + 34*w - 10]', '[5392, 674, -6*w^3 + 14*w^2 + 16*w - 30]', '[5392, 1348, 7*w^3 - 3*w^2 - 39*w - 23]', '[5392, 1348, w^3 - 2*w^2 + w + 10]', '[5392, 1348, -3*w^3 + 7*w^2 + 3*w + 3]', '[5392, 1348, 9*w^3 - 8*w^2 - 39*w - 6]', '[5392, 1348, w^3 - 2*w^2 - 3*w - 6]', '[5392, 1348, -5*w^3 - 3*w^2 + 37*w + 21]', '[5392, 1348, 5*w^3 - 8*w^2 - 23*w + 26]', '[5392, 1348, 9*w^3 - 7*w^2 - 45*w + 1]', '[5392, 2696, -2*w^3 + 3*w^2 + 13*w - 6]', '[5392, 2696, w^3 - w^2 + 2*w - 16]', '[5392, 2696, 4*w^3 + w^2 - 21*w - 10]', '[5392, 2696, -5*w^3 + 3*w^2 + 26*w]', '[5392, 5392, 6*w^3 - 37*w - 14]', '[5392, 5392, 5*w^2 - 6*w - 8]', '[5392, 5392, 4*w^3 - 10*w^2 - 9*w + 18]', '[5392, 5392, -2*w^3 - w^2 + 6*w + 8]', '[5393, 5393, -3*w^3 + 7*w^2 + 8*w - 19]', '[5393, 5393, 3*w^3 + 2*w^2 - 17*w - 15]', '[5396, 2698, 4*w^3 - 3*w^2 - 22*w - 3]', '[5396, 2698, -2*w^3 + 5*w^2 + 3*w - 12]', '[5396, 2698, -5*w^3 + 7*w^2 + 16*w - 2]', '[5396, 2698, -4*w^3 + w^2 + 18*w + 15]', '[5396, 5396, -3*w^3 - 2*w^2 + 22*w + 16]', '[5396, 5396, 5*w^3 - 3*w^2 - 21*w - 6]', '[5399, 5399, 4*w^3 - 2*w^2 - 22*w + 1]', '[5399, 5399, 3*w^2 - w + 3]', '[5404, 2702, 2*w^3 - 5*w^2 - 12*w + 13]', '[5404, 2702, -7*w^3 + 11*w^2 + 22*w - 18]', '[5404, 2702, 12*w^3 - 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6]', '[5552, 1388, -5*w^3 + 5*w^2 + 17*w + 5]', '[5552, 2776, -5*w^3 - w^2 + 30*w + 24]', '[5552, 5552, -4*w^3 + 2*w^2 + 23*w + 2]', '[5554, 5554, 2*w^3 - 3*w^2 - 2*w - 6]', '[5554, 5554, 5*w^3 - 4*w^2 - 20*w - 5]', '[5557, 5557, 2*w^3 - 3*w^2 - 7*w + 13]', '[5558, 5558, -2*w^3 - 2*w^2 + 5*w + 8]', '[5558, 5558, 5*w^3 - 6*w^2 - 12*w - 3]', '[5558, 5558, -2*w^3 + 4*w^2 + 13*w - 7]', '[5558, 5558, 4*w^3 - 19*w - 16]', '[5563, 5563, 6*w^3 - 6*w^2 - 30*w + 1]', '[5563, 5563, 2*w^3 - 3*w^2 - 13*w + 3]', '[5569, 5569, -w^3 + 11*w + 11]', '[5572, 2786, -2*w^3 - w^2 + 8*w + 11]', '[5572, 2786, -4*w^3 + 5*w^2 + 13*w - 4]', '[5572, 5572, -w^3 - w^2 + 11*w + 10]', '[5579, 5579, -4*w^3 + 9*w^2 + 13*w - 19]', '[5579, 5579, w^3 - 9*w^2 + 8*w + 9]', '[5584, 698, 8*w^3 - 4*w^2 - 40*w - 10]', '[5584, 1396, w^3 + 5*w^2 - 13*w - 11]', '[5584, 1396, -w^3 + 6*w^2 - w - 18]', '[5584, 2792, 8*w^3 - 5*w^2 - 39*w - 14]', '[5584, 5584, 2*w^3 - w^2 - 8*w - 12]', '[5591, 5591, 5*w^3 - 5*w^2 - 20*w + 1]', '[5591, 5591, w^3 - 6*w^2 - w + 7]', '[5593, 5593, -w^3 + 4*w^2 - w - 13]', '[5596, 2798, 3*w^2 + w - 12]', '[5596, 2798, 8*w^3 - 15*w^2 - 14*w - 3]', '[5596, 5596, 5*w^3 - 7*w^2 - 17*w + 10]', '[5597, 5597, 6*w^3 - 12*w^2 - 22*w + 27]', '[5597, 5597, -5*w^3 + 9*w^2 + 12*w - 13]', '[5608, 1402, -7*w^3 + 10*w^2 + 35*w - 32]', '[5608, 1402, 9*w^3 - 13*w^2 - 35*w + 19]', '[5608, 2804, 4*w^3 - 3*w^2 - 23*w + 6]', '[5608, 5608, -7*w^3 + 15*w^2 + 17*w - 22]', '[5611, 5611, -w^3 + 3*w + 13]', '[5611, 5611, -w^3 - 3*w^2 + 14*w + 11]', '[5611, 5611, -6*w^2 + 14*w + 3]', '[5611, 5611, 7*w^3 - 5*w^2 - 30*w - 11]', '[5614, 5614, -10*w^3 + 12*w^2 + 35*w - 27]', '[5614, 5614, -6*w^3 + 14*w^2 + 11*w - 11]', '[5614, 5614, 5*w^3 - 2*w^2 - 12*w + 10]', '[5614, 5614, 2*w^3 - 8*w^2 + w + 8]', '[5618, 5618, -2*w^3 + w^2 + 6*w + 10]', '[5618, 5618, -7*w^3 + 4*w^2 + 32*w + 11]', '[5624, 1406, 3*w^3 - 8*w^2 - 5*w + 16]', '[5624, 1406, -5*w^3 + 3*w^2 + 27*w + 3]', '[5624, 2812, -6*w^3 + 5*w^2 + 25*w + 6]', '[5624, 5624, -4*w^3 + 4*w^2 + 11*w - 6]', '[5626, 5626, 4*w^3 - 3*w^2 - 22*w + 2]', '[5626, 5626, -5*w^3 + 8*w^2 + 24*w - 25]', '[5627, 5627, -4*w^3 + w^2 + 13*w + 1]', '[5636, 2818, w^2 - 6*w - 9]', '[5636, 2818, w^3 - w^2 - 10*w + 2]', '[5636, 2818, w^3 - 5*w^2 - 10*w - 2]', '[5636, 2818, 5*w^2 - 7]', '[5636, 5636, -4*w^2 - w - 2]', '[5636, 5636, -7*w^3 + 13*w^2 + 25*w - 34]', '[5639, 5639, -11*w^3 + 19*w^2 + 38*w - 29]', '[5639, 5639, w^3 - 6*w^2 + 3*w + 9]', '[5644, 2822, -4*w^3 + 9*w^2 + 16*w - 13]', '[5644, 2822, -5*w^2 - w + 8]', '[5644, 2822, 6*w^3 - 7*w^2 - 24*w + 9]', '[5644, 2822, -4*w^3 + 7*w^2 + 19*w - 20]', '[5644, 5644, 3*w^3 - 3*w^2 - 17*w + 2]', '[5644, 5644, -2*w^3 - w^2 + 10*w - 4]', '[5651, 5651, -5*w^3 + 10*w^2 + 11*w - 3]', '[5653, 5653, -w^3 + w^2 + 10*w - 1]', '[5653, 5653, 3*w^3 + 5*w^2 - 26*w - 19]', '[5657, 5657, -3*w^3 + 5*w^2 + 6*w - 9]', '[5659, 5659, 6*w^3 - 10*w^2 - 18*w + 9]', '[5662, 5662, 5*w^3 - 14*w^2 + 2*w + 9]', '[5662, 5662, 4*w^3 - 3*w^2 - 18*w + 14]', '[5662, 5662, -10*w^2 + 17*w + 13]', '[5662, 5662, -5*w^3 + 6*w^2 + 16*w + 3]', '[5662, 5662, -3*w^3 + 2*w^2 + 18*w - 2]', '[5662, 5662, -3*w^3 + 8*w^2 + 14*w - 11]', '[5662, 5662, -6*w^3 - w^2 + 34*w + 22]', '[5662, 5662, -2*w^3 - 4*w^2 + 13*w + 28]', '[5663, 5663, -5*w^3 + 3*w^2 + 24*w + 1]', '[5663, 5663, -w^3 + 7*w^2 - 6*w - 11]', '[5669, 5669, -9*w^3 + 18*w^2 + 29*w - 37]', '[5669, 5669, w^3 - 5*w^2 - 4*w + 17]', '[5671, 5671, 6*w^3 - 8*w^2 - 28*w + 13]', '[5671, 5671, 6*w^3 - 13*w^2 - 7*w + 5]', '[5672, 1418, -w^3 + 6*w^2 - 3*w - 12]', '[5672, 1418, 5*w^3 - w^2 - 27*w - 9]', '[5672, 2836, 6*w^3 - 5*w^2 - 27*w - 10]', '[5672, 5672, 3*w^3 - 5*w^2 - 7*w - 6]', '[5674, 5674, -w^3 + 2*w^2 + 4*w + 6]', '[5674, 5674, 4*w^3 - 9*w^2 - 10*w + 18]', '[5674, 5674, 4*w^3 - 5*w^2 - 12*w + 6]', '[5674, 5674, -4*w^3 + 4*w^2 + 21*w + 7]', '[5674, 5674, -5*w^3 + 4*w^2 + 26*w - 1]', '[5674, 5674, w^3 + 2*w^2 - 2*w - 9]', '[5683, 5683, -3*w^3 + 11*w - 3]', '[5684, 2842, 2*w^3 - 3*w^2 - 2*w + 7]', '[5684, 2842, -4*w^3 + w^2 + 13*w + 4]', '[5684, 5684, -2*w^3 + w^2 + 2*w + 4]', '[5686, 5686, -5*w^3 + 10*w^2 + 16*w - 23]', '[5686, 5686, 6*w^3 - 5*w^2 - 26*w - 2]', '[5689, 5689, 5*w^3 - 4*w^2 - 31*w + 19]', '[5693, 5693, -5*w^3 + 12*w^2 + 17*w - 33]', '[5696, 356, 4*w^3 - 2*w^2 - 14*w]', '[5696, 356, 9*w^3 - 7*w^2 - 35*w - 17]', '[5696, 356, 8*w^3 - 14*w^2 - 16*w - 2]', '[5696, 712, 2*w^2 + 4*w - 8]', '[5696, 1424, w^3 - 2*w^2 - 11*w - 2]', '[5696, 2848, -2*w^3 + 3*w^2 + w - 6]', '[5696, 5696, 4*w^3 - w^2 - 12*w - 4]', '[5701, 5701, -6*w^3 + 9*w^2 + 21*w - 11]', '[5701, 5701, 5*w^3 - 7*w^2 - 24*w + 11]', '[5708, 2854, 2*w^3 - 7*w^2 - 11*w + 16]', '[5708, 2854, -4*w^3 + 7*w^2 + 6*w + 3]', '[5708, 2854, 4*w^3 + w^2 - 25*w - 20]', '[5708, 2854, 6*w^3 - 7*w^2 - 24*w + 5]', '[5708, 5708, -7*w^3 + 9*w^2 + 25*w - 18]', '[5708, 5708, 3*w^3 - w^2 - 19*w - 2]', '[5711, 5711, -w^3 + 8*w^2 - 13*w - 5]', '[5711, 5711, 5*w^3 - 5*w^2 - 20*w + 3]', '[5711, 5711, 4*w^3 - 6*w^2 - 18*w + 5]', '[5711, 5711, -w^3 - 4*w^2 + 11*w + 13]', '[5716, 2858, -2*w^3 + 3*w^2 + w + 4]', '[5716, 2858, -4*w^3 + 3*w^2 + 14*w + 3]', '[5716, 5716, -8*w^3 + 10*w^2 + 33*w - 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8]', '[9784, 2446, -3*w^3 + 5*w^2 + 7*w + 7]', '[9784, 4892, -16*w^3 + 23*w^2 + 65*w - 50]', '[9784, 4892, -11*w^3 + 19*w^2 + 46*w - 36]', '[9784, 9784, 15*w^3 - 22*w^2 - 62*w + 52]', '[9784, 9784, 5*w^3 - 7*w^2 - 17*w + 22]', '[9788, 4894, 6*w^3 - 7*w^2 - 22*w - 11]', '[9788, 4894, -w^3 + w^2 - 2*w - 14]', '[9788, 4894, 5*w^3 - 5*w^2 - 18*w - 2]', '[9788, 4894, 6*w^3 - w^2 - 28*w - 19]', '[9788, 9788, -w^3 + 9*w^2 - w - 38]', '[9788, 9788, 4*w^3 - 8*w^2 - 19*w + 10]', '[9791, 9791, 7*w^3 - 6*w^2 - 35*w + 1]', '[9791, 9791, -8*w^3 - 2*w^2 + 48*w + 29]', '[9793, 9793, -w^3 - 4*w^2 + 9*w + 15]', '[9794, 9794, w^3 - 4*w^2 - 14*w - 3]', '[9794, 9794, 7*w^3 - 5*w^2 - 33*w]', '[9794, 9794, -2*w^3 + w^2 - 6]', '[9794, 9794, -7*w^3 + 12*w^2 + 28*w - 33]', '[9802, 754, -2*w^3 + 8*w^2 - 5*w - 11]', '[9802, 754, w^3 + 2*w^2 - 4*w - 15]', '[9802, 754, 7*w^3 - 3*w^2 - 39*w - 16]', '[9802, 754, -5*w^3 + 7*w^2 + 7*w - 8]', '[9803, 9803, -w^3 + 4*w^2 + 11*w - 5]', '[9808, 1226, -4*w^3 + 24*w + 6]', '[9808, 1226, 10*w^3 - 12*w^2 - 46*w + 14]', '[9808, 1226, 6*w^3 - 6*w^2 - 32*w + 18]', '[9808, 1226, 2*w^2 + 2*w - 14]', '[9808, 2452, 3*w^3 - 10*w^2 - w + 14]', '[9808, 2452, -9*w^3 + 16*w^2 + 33*w - 38]', '[9808, 2452, w^3 - 3*w - 14]', '[9808, 2452, 7*w^3 - 5*w^2 - 31*w - 5]', '[9808, 2452, -7*w^3 - w^2 + 39*w + 27]', '[9808, 2452, -w^3 + 3*w^2 - 3*w - 9]', '[9808, 2452, -3*w^3 + 9*w^2 + 7*w - 23]', '[9808, 2452, 7*w^3 - 12*w^2 - 21*w + 14]', '[9808, 4904, -6*w^3 + 7*w^2 + 23*w + 6]', '[9808, 4904, 8*w^3 - 7*w^2 - 35*w + 2]', '[9808, 4904, 7*w^3 - 13*w^2 - 20*w + 12]', '[9808, 4904, -w^3 + 5*w^2 - 4*w - 12]', '[9808, 9808, 6*w^2 - 9*w - 14]', '[9808, 9808, 4*w^2 - 13*w + 2]', '[9808, 9808, -4*w^3 + 9*w^2 + 4*w + 4]', '[9808, 9808, -3*w^3 + 7*w^2 + 13*w - 22]', '[9809, 9809, 5*w^3 + w^2 - 28*w - 29]', '[9814, 9814, -8*w^3 + 10*w^2 + 37*w - 27]', '[9814, 9814, 2*w^3 - 2*w^2 - 9*w + 12]', '[9817, 9817, -3*w^2 + 11*w - 1]', '[9817, 9817, -3*w^3 - 3*w^2 + 20*w + 17]', '[9826, 34, 4*w^3 - 3*w^2 - 8*w + 2]', '[9826, 34, 3*w^3 + 2*w^2 - 6*w - 7]', '[9826, 9826, 3*w^3 - 8*w^2 - 4*w + 15]', '[9826, 9826, -6*w^3 + 5*w^2 + 24*w + 6]', '[9827, 9827, -7*w^3 + 14*w^2 + 11*w - 3]', '[9833, 9833, -4*w^3 + 11*w^2 + 7*w - 23]', '[9833, 9833, 2*w^3 - 6*w^2 + 2*w + 9]', '[9833, 9833, 7*w^3 - 11*w^2 - 24*w + 9]', '[9833, 9833, -2*w^3 + 7*w^2 + 7*w - 13]', '[9836, 4918, 4*w^3 - 3*w^2 - 10*w + 3]', '[9836, 4918, -w^3 - w^2 - 6*w - 6]', '[9836, 9836, -w^3 - 6*w]', '[9838, 9838, 2*w^3 - 6*w^2 - 9*w + 3]', '[9838, 9838, -4*w^2 + 5*w - 4]', '[9842, 9842, 4*w^3 - 8*w^2 - 15*w + 9]', '[9842, 9842, w^3 + 4*w^2 - 6*w - 10]', '[9851, 9851, 2*w^3 - 16*w - 1]', '[9851, 9851, 6*w^3 - 8*w^2 - 26*w + 7]', '[9857, 9857, -2*w^3 + 8*w^2 - 21]', '[9859, 9859, 6*w^2 - 17]', '[9863, 9863, -4*w^3 + 7*w^2 + 13*w - 1]', '[9863, 9863, -5*w^3 + 9*w^2 + 8*w - 5]', '[9866, 9866, 5*w^3 - 4*w^2 - 16*w - 5]', '[9866, 9866, -3*w^3 + 9*w^2 + 9*w - 8]', '[9866, 9866, 4*w^3 - 7*w^2 - 4*w - 2]', '[9866, 9866, w^3 + 2*w^2 - 2*w + 5]', '[9869, 9869, 10*w^3 - 2*w^2 - 56*w - 27]', '[9869, 9869, -4*w^3 + 9*w^2 + 9*w - 17]', '[9872, 1234, 6*w^3 - 10*w^2 - 12*w - 6]', '[9872, 2468, -3*w^3 + 8*w^2 + 13*w - 22]', '[9872, 2468, 9*w^3 - 7*w^2 - 37*w - 15]', '[9872, 4936, 9*w^3 - 13*w^2 - 34*w + 24]', '[9872, 9872, -2*w^3 + 4*w^2 + 3*w - 14]', '[9877, 9877, -6*w^3 + 5*w^2 + 23*w - 15]', '[9877, 9877, 2*w^3 - 4*w - 7]', '[9882, 366, -3*w^2 + 6*w - 6]', '[9882, 366, 6*w^2 - 9*w - 12]', '[9882, 366, 3*w^3 - 6*w^2 - 12*w + 3]', '[9882, 366, 6*w^3 - 33*w - 15]', '[9883, 9883, -4*w^3 + 3*w^2 + 11*w + 1]', '[9887, 9887, 7*w^3 - 13*w^2 - 34*w + 21]', '[9899, 9899, 7*w^3 - 12*w^2 - 21*w + 15]', '[9902, 9902, 6*w^3 - 13*w^2 - 22*w + 22]', '[9902, 9902, -5*w^3 + 4*w^2 + 20*w - 11]', '[9904, 1238, -6*w^3 + 6*w^2 + 32*w - 14]', '[9904, 2476, -3*w^3 + 13*w + 18]', '[9904, 2476, w^3 - 7*w^2 + 3*w + 25]', '[9904, 4952, -7*w^3 + 11*w^2 + 22*w - 8]', '[9904, 9904, -2*w^3 - 4*w^2 + 19*w + 18]', '[9907, 9907, 4*w^3 - 4*w^2 - 22*w + 7]', '[9907, 9907, 4*w^2 - 8*w - 13]', '[9907, 9907, -8*w^3 + 16*w^2 + 28*w - 41]', '[9907, 9907, -w^3 + 4*w^2 + 5*w - 19]', '[9908, 4954, 3*w^3 - 3*w^2 - 6*w + 10]', '[9908, 4954, 6*w^3 - 19*w^2 + 6*w + 13]', '[9908, 9908, -2*w^3 + 4*w^2 + 15*w - 10]', '[9914, 9914, 4*w^2 - w - 20]', '[9914, 9914, 10*w^3 - 14*w^2 - 45*w + 29]', '[9917, 9917, 6*w^3 - 7*w^2 - 23*w + 9]', '[9917, 9917, 5*w^3 - 5*w^2 - 24*w - 9]', '[9923, 9923, -2*w^3 - 4*w^2 + 18*w + 9]', '[9923, 9923, -8*w^3 + 8*w^2 + 34*w - 1]', '[9926, 9926, -4*w^3 + 4*w^2 + 11*w - 3]', '[9926, 9926, 9*w + 8]', '[9934, 9934, -3*w^3 + w^2 + w - 4]', '[9934, 9934, -w^3 - 4*w^2 - 8*w - 1]', '[9938, 9938, -3*w^3 + 10*w^2 + 6*w - 33]', '[9938, 9938, 10*w^3 - 13*w^2 - 46*w + 26]', '[9941, 9941, 6*w^3 - 5*w^2 - 25*w - 3]', '[9941, 9941, 6*w^3 - 13*w^2 - 17*w + 21]', '[9943, 9943, 8*w + 9]', '[9943, 9943, 2*w^3 - 3*w^2 - 17*w - 5]', '[9943, 9943, 5*w^3 - 6*w^2 - 17*w + 1]', '[9943, 9943, 2*w^3 - 16*w - 3]', '[9946, 9946, -8*w^3 - 4*w^2 + 25*w + 11]', '[9946, 9946, -3*w^3 - 6*w^2 + 6*w + 10]', '[9947, 203, -2*w^3 + 3*w^2 + 5*w - 15]', '[9947, 9947, 5*w^3 - 12*w^2 - 9*w + 7]', '[9949, 9949, -7*w^3 + 11*w^2 + 22*w - 17]', '[9952, 1244, 2*w + 10]', '[9952, 1244, -5*w^3 + 5*w^2 + 27*w + 7]', '[9952, 1244, -6*w^3 + 12*w^2 + 20*w - 30]', '[9952, 1244, -4*w^3 + 8*w^2 + 14*w - 8]', '[9952, 1244, -w^3 + 5*w^2 - 9*w - 1]', '[9952, 1244, 8*w^3 - 6*w^2 - 36*w - 4]', '[9952, 2488, -w^3 - 4*w^2 + 7*w + 10]', '[9952, 2488, -w^3 + 4*w^2 + 5*w - 18]', '[9952, 4976, 8*w^3 - 13*w^2 - 27*w + 18]', '[9952, 4976, -w^3 - 3*w^2 + 10*w]', '[9952, 9952, -w^3 + 5*w^2 - 3*w - 14]', '[9952, 9952, -2*w^3 + 4*w^2 + 9*w + 6]', '[9964, 4982, 6*w^3 - 3*w^2 - 21*w + 4]', '[9964, 4982, 6*w^3 - 7*w^2 - 18*w - 5]', '[9964, 9964, -2*w^3 + 7*w^2 + 12*w - 16]', '[9967, 9967, -5*w^3 + 8*w^2 + 25*w - 7]', '[9968, 1246, -4*w^3 + 20*w + 6]', '[9968, 2492, w^3 - w^2 - 5*w + 11]', '[9968, 2492, w^3 - 6*w^2 + w + 10]', '[9968, 4984, -4*w^3 + 5*w^2 + 19*w + 6]', '[9968, 9968, -2*w^3 + 5*w^2 + 4*w + 4]', '[9971, 767, w^3 - 7*w^2 - 6*w + 13]', '[9971, 767, -2*w^3 + 5*w^2 + 3*w - 23]', '[9974, 9974, w^3 + 2*w^2 + 6*w - 1]', '[9974, 9974, 4*w^3 - 5*w^2 - 4*w + 6]', '[9976, 2494, -w^3 - 5*w^2 + 15*w + 7]', '[9976, 2494, 5*w^3 - 16*w^2 + w + 12]', '[9976, 2494, 5*w^3 - 10*w^2 - 21*w + 28]', '[9976, 2494, -5*w^3 + 9*w^2 + 9*w - 5]', '[9976, 4988, -6*w^3 + 5*w^2 + 31*w + 2]', '[9976, 4988, -7*w^3 + 7*w^2 + 34*w - 12]', '[9976, 9976, -4*w^3 + 21*w + 22]', '[9976, 9976, 3*w^3 - 7*w^2 - 7*w + 18]', '[9979, 9979, 2*w^3 - w^2 - 15*w - 1]', '[9989, 9989, -w^3 + 6*w^2 + 3*w - 15]', '[9989, 9989, 4*w^3 - 12*w^2 - 4*w + 19]', '[9991, 9991, -10*w^3 + 6*w^2 + 48*w + 21]', '[9994, 9994, 8*w^3 - 11*w^2 - 34*w + 14]', '[9994, 9994, 2*w^3 - 6*w^2 - w - 3]', '[10000, 10, 10]', '[10000, 20, 5*w^3 - 10*w^2 - 15*w + 10]', '[10000, 20, 5*w^3 - 5*w^2 - 25*w - 5]', '[10000, 40, 5*w^2 - 5*w - 10]', '[10000, 80, 5*w^2 - 10*w]'], 'label': '4.4.11348.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[7, 7, w^3 - w^2 - 4*w + 1]', '[17, 17, -w^2 + w + 3]', '[19, 19, -2*w + 1]', '[29, 29, -w^3 + w^2 + 2*w - 1]', '[31, 31, -w^3 + 2*w^2 + 3*w - 5]', '[37, 37, -w^3 + 2*w^2 + 5*w - 5]', '[43, 43, -2*w^3 + 2*w^2 + 8*w + 3]', '[43, 43, -w^2 + 3*w + 1]', '[47, 47, -w^3 + 2*w^2 + 3*w - 1]', '[53, 53, -w^3 + w^2 + 6*w + 1]', '[59, 59, 2*w^3 - 2*w^2 - 10*w + 3]', '[61, 61, w^3 - w^2 - 6*w + 3]', '[61, 61, w^2 + w - 3]', '[71, 71, -w^3 + 5*w + 1]', '[71, 71, w^3 - w^2 - 4*w - 3]', '[81, 3, -3]', '[83, 83, -3*w^3 + 5*w^2 + 12*w - 9]', '[83, 83, -3*w^3 + 6*w^2 + 13*w - 13]', '[89, 89, w^2 - 3*w - 3]', '[97, 97, 2*w - 3]', '[103, 103, -w^3 + w^2 + 2*w - 3]', '[107, 107, 2*w^3 - 2*w^2 - 8*w + 5]', '[107, 107, -2*w^3 + 3*w^2 + 9*w - 9]', '[109, 109, -3*w^3 + 4*w^2 + 13*w - 9]', '[137, 137, -w^3 + w^2 + 6*w - 1]', '[137, 137, 3*w^3 - 3*w^2 - 12*w - 5]', '[139, 139, 2*w^3 - w^2 - 11*w - 3]', '[149, 149, w^3 + w^2 - 6*w - 3]', '[149, 149, -3*w^3 + 5*w^2 + 12*w - 13]', '[149, 149, 2*w^3 - 2*w^2 - 8*w + 1]', '[149, 149, -w^3 + 2*w^2 + w - 3]', '[157, 157, w^3 - 2*w^2 - 5*w + 1]', '[163, 163, w^3 + w^2 - 8*w - 3]', '[163, 163, -w^3 - w^2 + 6*w + 5]', '[169, 13, -w^3 + 2*w^2 + 5*w - 7]', '[169, 13, w^3 - 3*w - 3]', '[173, 173, w^3 - 3*w^2 - 2*w + 9]', '[173, 173, -2*w^2 + 4*w + 1]', '[181, 181, -2*w^3 - w^2 + 13*w + 7]', '[181, 181, 2*w^2 - 2*w - 7]', '[181, 181, 2*w^2 - 4*w - 5]', '[181, 181, 4*w^3 - 5*w^2 - 19*w + 11]', '[191, 191, -3*w^3 + 6*w^2 + 9*w - 11]', '[193, 193, 2*w^3 - 2*w^2 - 10*w + 5]', '[193, 193, -3*w^3 + 2*w^2 + 13*w + 5]', '[199, 199, 2*w^2 - 5]', '[211, 211, -w^3 + 3*w^2 + 2*w - 5]', '[211, 211, w^3 - 2*w^2 + w - 1]', '[223, 223, -w^3 + 5*w - 1]', '[223, 223, -w^3 + 3*w^2 + 4*w - 3]', '[227, 227, w^3 + 2*w^2 - 9*w - 7]', '[241, 241, 2*w^3 - 3*w^2 - 9*w + 3]', '[241, 241, -w^2 + w + 7]', '[263, 263, w^3 - w^2 - 4*w + 5]', '[277, 277, 7*w^3 - 12*w^2 - 27*w + 25]', '[283, 283, w^3 - w^2 - 2*w - 3]', '[311, 311, 2*w^3 - 4*w^2 - 6*w + 9]', '[311, 311, -w^3 + 4*w^2 - w - 5]', '[317, 317, 3*w^3 - 5*w^2 - 10*w + 5]', '[331, 331, w^3 + w^2 - 8*w - 7]', '[337, 337, 2*w^3 - 2*w^2 - 10*w - 3]', '[337, 337, w^3 - 6*w^2 + 7*w + 7]', '[337, 337, -4*w^3 + 5*w^2 + 17*w - 5]', '[337, 337, -3*w^3 + 7*w^2 + 8*w - 15]', '[343, 7, 5*w^3 - 4*w^2 - 23*w - 1]', '[347, 347, -2*w^3 - w^2 + 11*w + 13]', '[349, 349, 4*w^3 - 2*w^2 - 20*w - 5]', '[359, 359, -w^3 + 3*w^2 - 5]', '[367, 367, -2*w^3 + w^2 + 13*w - 5]', '[373, 373, -5*w^3 + 7*w^2 + 20*w - 13]', '[379, 379, -2*w^3 + 3*w^2 + 7*w + 1]', '[379, 379, -5*w^3 + 6*w^2 + 23*w - 11]', '[383, 383, 5*w^3 - 7*w^2 - 22*w + 13]', '[383, 383, 3*w^3 - 5*w^2 - 14*w + 9]', '[397, 397, w^2 - 3*w - 5]', '[397, 397, -w^3 + 2*w^2 + 7*w - 1]', '[401, 401, -w^3 + 3*w^2 + 6*w - 7]', '[401, 401, 2*w^3 - 5*w^2 - w - 1]', '[419, 419, -w^3 + w^2 + 8*w - 5]', '[439, 439, -3*w^3 + 3*w^2 + 12*w + 1]', '[479, 479, 2*w^3 - 8*w^2 + 4*w + 7]', '[491, 491, 2*w^3 - 5*w^2 - 7*w + 13]', '[499, 499, -4*w^3 + 7*w^2 + 17*w - 17]', '[503, 503, 2*w^3 - 4*w^2 - 6*w + 3]', '[509, 509, 2*w^3 - w^2 - 11*w + 1]', '[521, 521, w^3 - 4*w^2 - w + 11]', '[529, 23, 5*w^3 - 7*w^2 - 20*w + 11]', '[529, 23, -w^3 + 5*w^2 - 17]', '[547, 547, 2*w^3 - w^2 - 9*w + 1]', '[547, 547, w^3 - 3*w^2 - 4*w + 1]', '[557, 557, 2*w^3 - 4*w^2 - 8*w + 5]', '[557, 557, 2*w^3 - 5*w^2 - 5*w + 7]', '[563, 563, -4*w^3 + 5*w^2 + 19*w - 13]', '[563, 563, -5*w^3 + 3*w^2 + 24*w + 11]', '[571, 571, -w^3 + 4*w^2 - 3*w - 5]', '[577, 577, w^3 + 2*w^2 - 7*w - 11]', '[587, 587, 2*w^3 - 2*w^2 - 6*w + 1]', '[593, 593, -w^3 + 2*w^2 + w - 5]', '[599, 599, -2*w^3 + 4*w^2 + 6*w - 11]', '[601, 601, 3*w^3 - 4*w^2 - 11*w + 5]', '[601, 601, 2*w^3 - 2*w^2 - 6*w - 5]', '[613, 613, -2*w^3 + 12*w + 3]', '[613, 613, 5*w^3 - 6*w^2 - 23*w + 7]', '[613, 613, 3*w^3 - 3*w^2 - 16*w + 9]', '[613, 613, w^2 + w - 7]', '[617, 617, 3*w^3 - 5*w^2 - 6*w - 3]', '[619, 619, 3*w^3 - 3*w^2 - 16*w + 7]', '[625, 5, -5]', '[641, 641, 3*w^3 - 4*w^2 - 9*w + 13]', '[641, 641, -w^2 + w - 3]', '[647, 647, -w^2 - w - 3]', '[653, 653, 5*w^3 - 5*w^2 - 22*w + 3]', '[661, 661, -4*w^3 + 5*w^2 + 17*w - 11]', '[661, 661, w^3 - 2*w^2 - 7*w + 3]', '[677, 677, w^3 - 3*w - 5]', '[683, 683, 5*w^3 - w^2 - 28*w - 13]', '[701, 701, -2*w^3 + 5*w^2 + 5*w - 9]', '[709, 709, 2*w^3 - w^2 - 7*w - 5]', '[727, 727, -w^3 + 4*w^2 + w - 15]', '[727, 727, 5*w^3 - 6*w^2 - 21*w + 7]', '[733, 733, -w^3 - w^2 + 6*w + 1]', '[733, 733, 4*w^3 - 4*w^2 - 18*w + 5]', '[743, 743, w^3 + w^2 - 4*w - 7]', '[751, 751, 3*w^3 - 3*w^2 - 12*w + 1]', '[751, 751, -2*w^3 + 3*w^2 + 11*w - 11]', '[757, 757, 7*w^3 - 7*w^2 - 32*w + 3]', '[769, 769, 2*w^3 - 6*w^2 - 2*w + 11]', '[769, 769, w^3 - 2*w^2 - 3*w - 3]', '[773, 773, -2*w^3 + 3*w^2 + 9*w - 1]', '[797, 797, 3*w^3 - 5*w^2 - 8*w + 3]', '[797, 797, -4*w^3 + 2*w^2 + 18*w + 7]', '[809, 809, 2*w^2 - 4*w - 7]', '[809, 809, w^3 - 2*w^2 - w + 9]', '[823, 823, 2*w^3 - 5*w^2 - 9*w + 7]', '[823, 823, -w^3 + 5*w^2 + 2*w - 21]', '[853, 853, 4*w^3 - 7*w^2 - 15*w + 11]', '[857, 857, -w^3 + 4*w^2 + 3*w - 15]', '[877, 877, 6*w^3 - 3*w^2 - 27*w - 13]', '[881, 881, 2*w^2 - 9]', '[881, 881, -2*w^3 + 3*w^2 + 11*w - 3]', '[881, 881, 3*w^3 - 2*w^2 - 13*w - 9]', '[881, 881, -5*w^2 + 5*w + 21]', '[907, 907, -w^3 + 5*w^2 + 2*w - 19]', '[907, 907, -6*w^3 + 9*w^2 + 23*w - 17]', '[911, 911, -4*w^3 + 8*w^2 + 12*w - 15]', '[919, 919, 2*w^3 - 4*w^2 - 6*w + 1]', '[937, 937, 2*w^2 - 13]', '[941, 941, -3*w^3 + 17*w + 7]', '[947, 947, -2*w^3 + 14*w - 1]', '[947, 947, -4*w^3 + 6*w^2 + 14*w - 15]', '[953, 953, 2*w^3 + w^2 - 15*w - 7]', '[953, 953, -3*w^3 + 5*w^2 + 8*w - 5]', '[977, 977, -4*w^3 + 4*w^2 + 22*w - 13]']}
• 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, 1, -5, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 11348, 'disc_rad': 5674, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[4, 1]]], [13, [[2, 2]]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[2, 2]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[3, 1], [1, 1]]], [41, [[2, 2]]], [43, [[2, 1], [1, 2]]], [47, [[3, 1], [1, 1]]], [53, [[3, 1], [1, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 84.55052949037936, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.11348.1', 'local_algs': ['2.1.0.1', '2.3.2.1', 'm2837.1.1.0', 'm2837.1.1.0', 'm2837.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 2837], 'rd': 10.3211913985, 'regulator': {'__RealLiteral__': 0, 'data': '11.5694634445', 'prec': 44}, 'res': {'gal': ['-54928,9784400,-23601408,-40722240,97801128,78098944,-160138624,-90250260,138405136,67007436,-70060882,-32016952,21669503,9693992,-4173546,-1825544,509903,210144,-40274,-14276,2073,524,-66,-8,1'], 'sib': ['1196,9104,10420,-29552,-7740,23652,-2451,-4302,639,280,-45,-6,1', '17923,-4914,-10050,1368,1717,-36,-76,0,1', '2,-16,6,19,-7,-3,1', '2,68,-22,-739,527,1156,-758,-566,274,84,-32,-3,1', '9195,-8519,1900,229,-90,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 2 a^{2} - 3 a + 3 \\)', '\\( a^{3} - a^{2} - 4 a - 1 \\)', '\\( a^{2} - a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}