Hilbert modular form data - 4.4.8789.1-17.3-a

Formats: - HTML - YAML - JSON - 2026-03-19T10:04:45.262683

• 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': 8789, 'field_bad_primes': [11, 17, 47], 'field_label': '4.4.8789.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.8789.1-17.3-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [17], 'level_ideal': '[17, 17, -w^2 + 2*w + 1]', 'level_label': '17.3', 'level_norm': 17, 'parallel_weight': 2, 'short_label': '17.3-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[17, 17, -w^2 + 2*w + 1]', -1]], 'hecke_eigenvalues': [-2, 3, -2, -4, -5, 1, 0, 1, 0, -3, 0, 0, -7, 10, 4, -7, 9, -6, 5, 15, -15, -8, -8, -3, 5, -7, -1, -11, -7, 3, -17, -18, 25, -19, 15, 24, 6, 24, -24, 2, -22, -18, -28, -6, -16, -1, 5, -2, 24, 0, -26, 20, 14, 12, -20, -8, -29, 13, 25, 22, -31, 1, 30, -12, 3, 20, -13, 18, 11, -16, 11, 4, -2, -37, 15, -26, 34, -26, 20, 26, -4, 15, 11, -29, -28, -18, -18, -34, -2, -40, 8, -24, -20, -40, 27, 6, -22, -20, -20, 36, 25, -28, -38, -42, -23, 4, 28, 20, 30, -32, -17, 32, -6, -24, -17, -16, 8, 52, -45, 45, -2, -36, -1, -11, 9, 0, -33, -29, -24, -46, 53, -42, 20, 33, 22, 8, 19, -46, -26, -1, -31, 37, 6, -17, -31, 0, 0, -10, 38, 42, 4, 57, -26, 12, 28, 42, 46, -2], 'hecke_polynomial': 'x', 'label': '4.4.8789.1-17.3-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 8789, 'ideals': ['[1, 1, 1]', '[5, 5, -w^3 + 2*w^2 + 3*w]', '[7, 7, w - 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[13, 13, -2*w^3 + 3*w^2 + 10*w - 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 5*w - 3]', '[17, 17, -w^3 + w^2 + 5*w]', '[17, 17, -w^2 + 2*w + 1]', '[19, 19, w^2 - w - 2]', '[25, 25, w^3 - w^2 - 6*w]', '[29, 29, w^3 - 2*w^2 - 5*w]', '[29, 29, w^2 - w - 3]', '[31, 31, -w^3 + 2*w^2 + 3*w - 2]', '[35, 35, 2*w^3 - 4*w^2 - 9*w + 4]', '[43, 43, 2*w^3 - 3*w^2 - 11*w]', '[47, 47, w^3 - 7*w - 4]', '[49, 49, w^3 - w^2 - 7*w]', '[53, 53, -2*w^3 + 3*w^2 + 9*w - 1]', '[55, 55, 2*w^3 - 3*w^2 - 11*w + 1]', '[61, 61, -w - 3]', '[65, 65, -w^3 + w^2 + 7*w + 2]', '[73, 73, -w^3 + 2*w^2 + 3*w - 3]', '[73, 73, w^3 - w^2 - 7*w - 1]', '[77, 77, w^3 - 3*w^2 - 2*w + 4]', '[80, 10, -2*w^3 + 4*w^2 + 6*w]', '[81, 3, -3]', '[83, 83, -2*w^3 + 3*w^2 + 9*w + 1]', '[83, 83, -w^3 + 3*w^2 + 2*w - 3]', '[85, 85, 2*w^3 - 3*w^2 - 10*w - 2]', '[85, 85, 2*w^3 - 3*w^2 - 9*w]', '[85, 85, w^3 - w^2 - 6*w - 5]', '[89, 89, w - 4]', '[91, 91, -w^3 + 2*w^2 + 3*w - 4]', '[95, 95, -w^3 + 3*w^2 - w - 2]', '[103, 103, w^3 - 2*w^2 - 6*w + 3]', '[112, 14, 2*w - 2]', '[113, 113, 2*w^3 - w^2 - 14*w - 6]', '[119, 119, -2*w^3 + 3*w^2 + 11*w + 2]', '[119, 119, -w^3 + 2*w^2 + 3*w + 3]', '[119, 119, w^3 - 2*w^2 - 4*w + 5]', '[121, 11, w^3 - 9*w - 3]', '[121, 11, -w^2 + 2*w + 7]', '[125, 5, -3*w^3 + 4*w^2 + 15*w + 1]', '[125, 125, w^3 - 9*w - 5]', '[133, 133, w^3 - 2*w^2 - w + 2]', '[139, 139, w^3 - 2*w^2 - 5*w - 3]', '[139, 139, w^3 - 5*w - 5]', '[143, 143, -2*w^3 + 2*w^2 + 11*w + 2]', '[145, 145, w^3 - 2*w^2 - w - 1]', '[145, 145, w^2 - 4*w - 2]', '[151, 151, w^3 - 9*w - 7]', '[155, 155, -w^3 + 4*w^2 - w - 1]', '[157, 157, -3*w^3 + 6*w^2 + 13*w - 6]', '[163, 163, w^3 - 3*w^2 - 2*w + 9]', '[167, 167, -w^3 + 7*w + 3]', '[167, 167, -3*w^3 + 4*w^2 + 15*w - 1]', '[169, 169, -w^3 + 3*w^2 + 3*w - 3]', '[173, 173, 2*w^3 - 3*w^2 - 7*w - 2]', '[175, 175, -w^2 + 3*w + 5]', '[176, 22, -2*w^3 + 4*w^2 + 8*w]', '[181, 181, -w^3 + 3*w^2 + 4*w - 5]', '[187, 187, 3*w^3 - 5*w^2 - 13*w + 2]', '[187, 187, 3*w^3 - 5*w^2 - 15*w + 1]', '[187, 187, 3*w^3 - 4*w^2 - 15*w - 2]', '[191, 191, w^3 - w^2 - 4*w - 4]', '[193, 193, -w^3 + w^2 + 7*w + 6]', '[193, 193, 2*w^3 - 2*w^2 - 13*w - 5]', '[199, 199, -2*w^3 + 5*w^2 + 5*w - 5]', '[203, 203, w^3 - 2*w^2 - 2*w + 3]', '[203, 203, -2*w^3 + 3*w^2 + 7*w - 1]', '[208, 26, -4*w^3 + 6*w^2 + 20*w - 4]', '[209, 209, 2*w^2 - 3*w - 2]', '[211, 211, w^3 - w^2 - 8*w - 3]', '[211, 211, -2*w^2 + 3*w + 8]', '[215, 215, -w^3 + 3*w^2 + 3*w - 4]', '[217, 217, 2*w^3 - 5*w^2 - 7*w + 3]', '[221, 221, -2*w^3 + 3*w^2 + 11*w + 3]', '[221, 221, -2*w^3 + 3*w^2 + 8*w + 1]', '[221, 221, -2*w + 3]', '[227, 227, -w^3 + 3*w^2 + 4*w - 4]', '[227, 227, w^2 - 3*w - 6]', '[229, 229, w^2 - 5]', '[229, 229, 3*w^3 - 4*w^2 - 17*w - 2]', '[233, 233, 3*w^3 - 6*w^2 - 13*w + 3]', '[233, 233, 3*w^3 - 4*w^2 - 16*w + 1]', '[235, 235, -w^3 + 4*w^2 - 3*w - 5]', '[241, 241, -2*w^3 + 4*w^2 + 8*w + 1]', '[245, 245, 2*w^3 - 3*w^2 - 12*w - 1]', '[247, 247, 2*w^3 - 4*w^2 - 10*w + 1]', '[251, 251, 2*w^3 - 2*w^2 - 9*w - 3]', '[256, 4, 4]', '[265, 265, w^2 - 2*w + 2]', '[272, 34, -2*w^3 + 4*w^2 + 10*w - 6]', '[272, 34, -2*w^3 + 2*w^2 + 10*w]', '[272, 34, -2*w^2 + 4*w + 2]', '[275, 275, 2*w^3 - w^2 - 13*w - 6]', '[277, 277, 3*w^3 - 4*w^2 - 17*w - 1]', '[281, 281, -2*w^2 + 5*w + 1]', '[283, 283, -4*w^3 + 6*w^2 + 19*w - 2]', '[289, 17, 2*w^3 - 2*w^2 - 13*w - 4]', '[289, 17, w^3 - 8*w - 2]', '[289, 17, w^3 - w^2 - 8*w]', '[289, 17, 2*w^3 - 2*w^2 - 11*w - 1]', '[289, 289, 2*w^2 - 3*w - 5]', '[289, 289, -2*w^3 + 5*w^2 + 6*w - 5]', '[293, 293, -3*w^3 + 6*w^2 + 12*w - 2]', '[301, 301, -3*w^3 + 4*w^2 + 15*w - 2]', '[304, 38, 2*w^2 - 2*w - 4]', '[305, 305, 2*w^3 - 3*w^2 - 7*w - 1]', '[307, 307, w^3 - w^2 - 4*w - 5]', '[307, 307, w^3 - w^2 - 8*w - 2]', '[311, 311, 2*w^2 - 3*w - 7]', '[313, 313, -2*w^3 + w^2 + 15*w + 3]', '[317, 317, -w^3 + 3*w^2 + w - 5]', '[319, 319, -w^2 + w - 2]', '[319, 319, w^3 - 7*w - 2]', '[323, 323, w^3 - 2*w^2 - 2*w + 4]', '[323, 323, 2*w^3 - 5*w^2 - 7*w - 1]', '[323, 323, w^3 - 3*w^2 - 7*w - 1]', '[325, 325, w^3 - 4*w^2 + 4]', '[329, 329, -w^2 + 5*w + 3]', '[331, 331, 2*w^3 - 3*w^2 - 12*w]', '[337, 337, w^3 - w^2 - 8*w - 1]', '[341, 341, w^2 - 5*w]', '[343, 7, -w^3 + 6*w + 8]', '[343, 343, -2*w^2 + 3*w + 6]', '[347, 347, 2*w^3 - 4*w^2 - 7*w + 5]', '[349, 349, 2*w^3 - 4*w^2 - 9*w]', '[353, 353, -3*w^3 + 4*w^2 + 16*w + 5]', '[353, 353, -3*w^3 + 4*w^2 + 14*w]', '[353, 353, -w^3 + 3*w^2 + 4*w - 8]', '[353, 353, -w^3 + 2*w^2 + 8*w - 3]', '[359, 359, -4*w^3 + 7*w^2 + 19*w - 3]', '[361, 361, -w^3 + 3*w^2 - 4]', '[365, 365, -2*w^3 + 6*w^2 + 3*w - 4]', '[365, 365, 2*w^2 - 4*w - 1]', '[367, 367, -w^3 + 2*w^2 + 6*w - 5]', '[371, 371, 3*w^3 - 6*w^2 - 14*w + 3]', '[373, 373, 5*w^3 - 8*w^2 - 26*w + 3]', '[377, 377, 4*w^3 - 7*w^2 - 20*w + 3]', '[377, 377, -4*w^3 + 8*w^2 + 19*w - 7]', '[379, 379, -3*w^3 + 5*w^2 + 17*w - 4]', '[379, 379, -w^3 + 2*w^2 + 4*w - 6]', '[383, 383, w^2 - 6]', '[385, 385, -2*w^2 + 2*w + 7]', '[389, 389, w^3 - 2*w^2 - 3*w - 4]', '[389, 389, w^2 + w - 4]', '[397, 397, -4*w^3 + 5*w^2 + 23*w + 5]', '[397, 397, -3*w^3 + 5*w^2 + 12*w - 2]', '[400, 50, 2*w^3 - 2*w^2 - 12*w]', '[403, 403, 6*w^3 - 10*w^2 - 27*w + 7]', '[405, 15, 3*w^3 - 6*w^2 - 9*w]', '[415, 415, -2*w^3 + 5*w^2 + 4*w + 2]', '[415, 415, -3*w^3 + 9*w^2 + w - 3]', '[419, 419, -3*w^3 + 4*w^2 + 17*w + 5]', '[419, 419, -3*w^3 + 5*w^2 + 15*w]', '[419, 419, 3*w^3 - 5*w^2 - 14*w - 1]', '[419, 419, 2*w^3 - 3*w^2 - 10*w - 6]', '[425, 425, w^3 - 3*w^2 - w - 2]', '[425, 425, -2*w^3 + 3*w^2 + 9*w - 5]', '[425, 425, 2*w^3 - 4*w^2 - 11*w]', '[427, 427, -w^2 - 2*w + 3]', '[431, 431, 2*w^3 - 2*w^2 - 11*w]', '[433, 433, w^3 - 8*w - 1]', '[433, 433, 2*w^2 - 2*w - 5]', '[439, 439, 2*w^3 - 2*w^2 - 9*w - 6]', '[443, 443, 2*w^3 - 5*w^2 - 7*w]', '[443, 443, 2*w^3 - 5*w^2 - 9*w + 4]', '[445, 445, 5*w^3 - 11*w^2 - 14*w + 1]', '[455, 455, w^3 - 7*w - 1]', '[457, 457, -2*w^3 + 5*w^2 + 7*w - 4]', '[457, 457, -w^3 + 2*w^2 - 3]', '[461, 461, -4*w^3 + 7*w^2 + 17*w - 7]', '[464, 58, 2*w^3 - 4*w^2 - 10*w]', '[464, 58, 2*w^2 - 2*w - 6]', '[473, 473, -2*w^3 + 4*w^2 + 7*w - 6]', '[475, 475, -2*w^3 + 4*w^2 + 9*w + 1]', '[479, 479, 3*w^3 - 5*w^2 - 12*w + 6]', '[487, 487, -2*w^3 + 5*w^2 + 9*w - 9]', '[487, 487, w^3 - 10*w - 8]', '[493, 493, -w^3 + 4*w^2 + 6*w - 4]', '[493, 493, 2*w^3 - 4*w^2 - 7*w + 7]', '[493, 493, -4*w^3 + 6*w^2 + 18*w - 3]', '[493, 493, 2*w^3 - 4*w^2 - 9*w - 2]', '[493, 493, -w^3 + 4*w^2 + 2*w - 3]', '[493, 493, 2*w^3 - 4*w^2 - 12*w - 1]', '[496, 62, -2*w^3 + 4*w^2 + 6*w - 4]', '[499, 499, 2*w^3 - 2*w^2 - 12*w + 1]', '[503, 503, w^2 - 7]', '[503, 503, w^3 + w^2 - 7*w - 8]', '[511, 511, 2*w^3 - 5*w^2 - 8*w + 4]', '[511, 511, -w^3 + 8*w]', '[515, 515, -3*w^3 + 7*w^2 + 10*w - 2]', '[517, 517, 3*w^2 - 5*w - 6]', '[527, 527, 4*w^3 - 8*w^2 - 18*w + 7]', '[527, 527, 3*w^3 - 6*w^2 - 8*w + 1]', '[527, 527, 3*w^3 - 4*w^2 - 12*w + 2]', '[529, 23, -3*w^3 + 5*w^2 + 12*w + 1]', '[529, 23, 3*w^3 - 4*w^2 - 14*w - 1]', '[539, 539, 2*w^3 - w^2 - 15*w - 7]', '[541, 541, w^3 - 4*w^2 - 2*w + 11]', '[551, 551, -3*w^3 + 5*w^2 + 12*w - 1]', '[551, 551, -w^3 + 3*w^2 + w - 6]', '[559, 559, -10*w^3 + 18*w^2 + 48*w - 17]', '[560, 70, 4*w^3 - 8*w^2 - 18*w + 8]', '[563, 563, -2*w^3 + w^2 + 15*w + 6]', '[565, 565, -2*w^3 + 8*w^2 - 3*w - 9]', '[567, 21, -3*w + 3]', '[569, 569, w^3 - 2*w^2 - 4*w - 4]', '[581, 581, 3*w^3 - 6*w^2 - 12*w + 1]', '[581, 581, 3*w^3 - 7*w^2 - 7*w + 4]', '[583, 583, w^3 - 2*w^2 - 7*w + 4]', '[589, 589, -2*w^3 + w^2 + 13*w + 5]', '[595, 595, -3*w^3 + 6*w^2 + 13*w - 2]', '[595, 595, -w^3 + w^2 + 3*w + 4]', '[595, 595, -3*w^3 + 5*w^2 + 12*w]', '[601, 601, 3*w^3 - 5*w^2 - 17*w + 1]', '[605, 55, -3*w^3 + 6*w^2 + 11*w - 6]', '[605, 55, -3*w^3 + 4*w^2 + 14*w + 3]', '[607, 607, -2*w^3 + 5*w^2 + 7*w - 5]', '[607, 607, -w^3 + 3*w^2 + 6*w - 5]', '[611, 611, -w - 5]', '[613, 613, -4*w^3 + 5*w^2 + 21*w + 1]', '[613, 613, -5*w^3 + 8*w^2 + 23*w - 4]', '[619, 619, w^3 + w^2 - 9*w - 5]', '[619, 619, -3*w^3 + 4*w^2 + 14*w + 2]', '[623, 623, w^2 - 5*w + 4]', '[625, 5, 5]', '[625, 625, -w^3 + 2*w^2 + w - 4]', '[637, 637, 2*w^3 - 5*w^2 - 9*w + 5]', '[641, 641, -6*w^3 + 8*w^2 + 31*w + 3]', '[643, 643, 3*w^3 - 4*w^2 - 17*w - 6]', '[643, 643, -2*w^3 + 5*w^2 + 7*w - 6]', '[647, 647, 3*w^3 - 4*w^2 - 13*w - 10]', '[653, 653, -3*w^3 + 5*w^2 + 14*w + 2]', '[653, 653, w^3 - 2*w^2 - w - 3]', '[661, 661, 5*w^3 - 9*w^2 - 24*w + 5]', '[665, 665, -w^3 + w^2 + 4*w - 4]', '[671, 671, 2*w^3 - 4*w^2 - 10*w - 1]', '[683, 683, 2*w^3 - 3*w^2 - 13*w - 2]', '[683, 683, 4*w^3 - 7*w^2 - 18*w + 1]', '[688, 86, 4*w^3 - 6*w^2 - 22*w]', '[689, 689, 10*w^3 - 17*w^2 - 46*w + 15]', '[695, 695, 4*w^3 - 8*w^2 - 10*w - 1]', '[695, 695, 2*w^3 - 4*w^2 - 10*w - 3]', '[715, 715, w^3 - 3*w^2 + 5]', '[719, 719, -w^3 + 2*w^2 + 3*w - 7]', '[719, 719, 3*w^3 - 5*w^2 - 16*w - 1]', '[721, 721, -2*w^3 + 2*w^2 + 11*w - 4]', '[725, 725, -3*w^3 + 5*w^2 + 15*w + 1]', '[725, 725, 2*w^3 - 5*w^2 - 8*w + 5]', '[727, 727, -2*w^3 + 5*w^2 + 8*w - 7]', '[727, 727, 2*w^3 - 5*w^2 - 7*w + 13]', '[731, 731, w^2 + w - 5]', '[731, 731, -9*w^3 + 14*w^2 + 44*w - 8]', '[731, 731, -3*w^3 + 7*w^2 + 15*w - 9]', '[733, 733, -2*w^2 + 7]', '[733, 733, -3*w^3 + 5*w^2 + 11*w + 2]', '[739, 739, -6*w^3 + 9*w^2 + 29*w - 3]', '[739, 739, -2*w^3 + 3*w^2 + 7*w + 5]', '[751, 751, 4*w^3 - 5*w^2 - 23*w - 3]', '[752, 94, 2*w^3 - 14*w - 8]', '[755, 755, 4*w^2 - 8*w - 7]', '[757, 757, -w^3 + 10*w + 4]', '[757, 757, 2*w^3 - w^2 - 14*w - 4]', '[769, 769, -w^3 + 4*w^2 + 4*w - 8]', '[769, 769, 4*w^3 - 6*w^2 - 21*w - 2]', '[775, 775, -4*w^3 + 7*w^2 + 16*w - 3]', '[784, 98, 2*w^3 - 2*w^2 - 14*w]', '[785, 785, w^3 - 11*w + 1]', '[787, 787, 3*w^3 - 3*w^2 - 19*w - 6]', '[787, 787, -2*w^2 + 6*w + 7]', '[791, 791, -w^3 - w^2 + 12*w + 4]', '[793, 793, 5*w^3 - 7*w^2 - 24*w + 4]', '[799, 799, 3*w^3 - 6*w^2 - 12*w - 5]', '[799, 799, -2*w^3 + 2*w^2 + 14*w + 5]', '[799, 799, w^3 - 2*w^2 - 8*w - 6]', '[803, 803, w^3 - w^2 - 9*w]', '[803, 803, -2*w^3 + 5*w^2 + 4*w - 5]', '[815, 815, -3*w^3 + 3*w^2 + 17*w + 3]', '[817, 817, 4*w^3 - 6*w^2 - 19*w - 8]', '[833, 833, -2*w^3 + 4*w^2 + 11*w - 6]', '[833, 833, 4*w^3 - 5*w^2 - 19*w - 8]', '[833, 833, 3*w^3 - 4*w^2 - 13*w]', '[835, 835, 2*w^3 - 6*w^2 + 5]', '[835, 835, 2*w^3 - 4*w^2 - 6*w + 5]', '[839, 839, -3*w^3 + 3*w^2 + 19*w + 5]', '[841, 29, 3*w^3 - 4*w^2 - 13*w - 4]', '[841, 29, 2*w^3 - 13*w - 14]', '[841, 841, 3*w^3 - 4*w^2 - 18*w - 3]', '[841, 841, -3*w^3 + 6*w^2 + 14*w - 2]', '[845, 845, 3*w^3 - 6*w^2 - 15*w + 8]', '[847, 77, -w^3 + 3*w^2 + 5*w - 7]', '[847, 77, 3*w^3 - 5*w^2 - 10*w - 2]', '[848, 106, -4*w^3 + 6*w^2 + 18*w - 2]', '[853, 853, -3*w^3 + 5*w^2 + 14*w + 3]', '[853, 853, 2*w^2 - w - 9]', '[853, 853, 3*w^3 - 5*w^2 - 11*w + 1]', '[853, 853, w - 6]', '[857, 857, 2*w^3 - 2*w^2 - 9*w - 7]', '[857, 857, -4*w^3 + 8*w^2 + 13*w - 1]', '[859, 859, 2*w^3 - 4*w^2 - 13*w + 2]', '[859, 859, w^3 - w^2 - 9*w - 2]', '[863, 863, -2*w^3 - w^2 + 17*w + 11]', '[865, 865, 5*w^3 - 13*w^2 - 11*w]', '[875, 35, 4*w^3 - 7*w^2 - 20*w + 2]', '[875, 875, -3*w^2 + 6*w + 4]', '[877, 877, 5*w^3 - 6*w^2 - 28*w - 9]', '[877, 877, -4*w^3 + 5*w^2 + 20*w + 6]', '[880, 110, 4*w^3 - 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8]', '[1429, 1429, 2*w^3 - 3*w^2 - 11*w + 7]', '[1439, 1439, -5*w^3 + 9*w^2 + 20*w - 2]', '[1445, 85, -2*w^3 + 5*w^2 + 3*w - 5]', '[1445, 85, -w^3 + 5*w^2 - 2*w - 7]', '[1445, 85, -6*w^3 + 9*w^2 + 29*w - 1]', '[1445, 85, -7*w^3 + 12*w^2 + 34*w - 6]', '[1445, 1445, -2*w^2 + w + 10]', '[1445, 1445, -w^3 + 4*w^2 + 3*w - 8]', '[1451, 1451, w^3 - 2*w^2 - 7*w + 6]', '[1451, 1451, -4*w^3 + 7*w^2 + 17*w + 3]', '[1456, 182, -2*w^3 + 4*w^2 + 6*w - 8]', '[1457, 1457, w^3 + w^2 - 11*w - 2]', '[1459, 1459, -4*w^2 + 8*w + 15]', '[1463, 1463, 2*w^3 - 4*w^2 - 7*w - 5]', '[1465, 1465, -4*w^3 + 11*w^2 + 3*w]', '[1469, 1469, -3*w^3 + 6*w^2 + 14*w - 13]', '[1471, 1471, -w^3 + 4*w^2 + 2*w - 6]', '[1471, 1471, 3*w^3 - 2*w^2 - 17*w - 6]', '[1477, 1477, -w^3 - w^2 + 7*w + 2]', '[1477, 1477, -2*w^3 + 5*w^2 + 5*w - 8]', '[1483, 1483, -w^3 + w^2 + 4*w - 5]', '[1483, 1483, 5*w^3 - 7*w^2 - 22*w - 9]', '[1487, 1487, 3*w^3 - 6*w^2 - 13*w]', '[1489, 1489, 3*w^3 - 5*w^2 - 15*w - 5]', '[1489, 1489, 5*w^3 - 7*w^2 - 26*w - 5]', '[1505, 1505, 13*w^3 - 21*w^2 - 62*w + 14]', '[1511, 1511, 2*w^3 - w^2 - 13*w - 3]', '[1513, 1513, 4*w^3 - 5*w^2 - 22*w + 1]', '[1513, 1513, 5*w^3 - 9*w^2 - 25*w + 13]', '[1513, 1513, -w^3 + 6*w^2 - 7*w - 4]', '[1519, 1519, -5*w^3 + 10*w^2 + 20*w - 4]', '[1520, 190, -2*w^3 + 6*w^2 - 2*w - 4]', '[1523, 1523, 5*w^3 - 6*w^2 - 24*w - 11]', '[1525, 1525, -3*w^3 + 3*w^2 + 16*w + 1]', '[1529, 1529, 3*w^3 - 3*w^2 - 13*w - 4]', '[1529, 1529, 3*w^3 - 7*w^2 - 11*w - 2]', '[1535, 1535, 5*w^3 - 11*w^2 - 15*w - 1]', '[1535, 1535, -2*w^3 + 7*w^2 + 2*w - 5]', '[1537, 1537, 3*w^2 - 5*w - 18]', '[1537, 1537, 2*w^3 - 5*w^2 - 12*w + 6]', '[1539, 57, 3*w - 6]', '[1547, 1547, 3*w^3 - 4*w^2 - 12*w - 1]', '[1547, 1547, w^3 - 4*w^2 + w + 9]', '[1547, 1547, 3*w^3 - 5*w^2 - 15*w - 4]', '[1549, 1549, -4*w^3 + 4*w^2 + 19*w + 11]', '[1549, 1549, 6*w^3 - 11*w^2 - 27*w + 15]', '[1553, 1553, 3*w^3 - 6*w^2 - 11*w + 9]', '[1555, 1555, 3*w^2 - 9*w - 5]', '[1559, 1559, -2*w^3 + 4*w^2 + 8*w + 5]', '[1565, 1565, 6*w^3 - 17*w^2 - 8*w + 10]', '[1571, 1571, w^3 + w^2 - 10*w - 3]', '[1571, 1571, -2*w^3 + 4*w^2 + 9*w - 10]', '[1571, 1571, -4*w^3 + 7*w^2 + 20*w - 1]', '[1571, 1571, 3*w^2 - 4*w - 7]', '[1573, 143, w^3 - 4*w^2 - 2*w + 7]', '[1573, 143, -w^2 + 2*w - 4]', '[1577, 1577, w^3 - 11*w - 5]', '[1577, 1577, -3*w^3 + w^2 + 23*w + 12]', '[1579, 1579, 4*w^3 - 8*w^2 - 15*w - 4]', '[1579, 1579, -3*w^3 + 3*w^2 + 19*w - 1]', '[1585, 1585, -2*w^3 + 8*w^2 - 3*w - 4]', '[1589, 1589, w^3 - 4*w^2 - 3*w + 6]', '[1589, 1589, 3*w^3 - 5*w^2 - 10*w + 5]', '[1595, 1595, -5*w^3 + 7*w^2 + 24*w]', '[1595, 1595, 4*w^3 - 7*w^2 - 16*w + 8]', '[1601, 1601, 3*w^3 - 6*w^2 - 15*w + 1]', '[1603, 1603, w^3 - w^2 - 5*w + 5]', '[1603, 1603, -4*w^3 + 5*w^2 + 21*w - 1]', '[1607, 1607, 4*w^3 - 5*w^2 - 19*w - 2]', '[1613, 1613, 3*w^3 - 5*w^2 - 15*w - 8]', '[1615, 1615, -w^3 + w^2 + 10*w + 3]', '[1615, 1615, -2*w^3 - w^2 + 14*w + 11]', '[1615, 1615, -2*w^3 + 14*w + 7]', '[1621, 1621, -w^3 + 4*w^2 + 3*w - 7]', '[1625, 65, 12*w^3 - 21*w^2 - 55*w + 21]', '[1625, 1625, w^2 + w - 7]', '[1631, 1631, -6*w^3 + 11*w^2 + 22*w - 6]', '[1631, 1631, -4*w^3 + 6*w^2 + 23*w - 4]', '[1637, 1637, -w^3 + 2*w^2 + 3*w - 8]', '[1643, 1643, 3*w^3 - 5*w^2 - 11*w - 9]', '[1645, 1645, 3*w^3 - 5*w^2 - 16*w - 3]', '[1648, 206, 2*w^3 - 4*w^2 - 12*w + 6]', '[1655, 1655, -2*w^3 + 6*w^2 + 5*w - 5]', '[1657, 1657, -w^3 + 3*w^2 - 7]', '[1657, 1657, 5*w^3 - 6*w^2 - 30*w - 9]', '[1661, 1661, w^3 + w^2 - 13*w - 8]', '[1669, 1669, w^3 + w^2 - 9*w - 3]', '[1685, 1685, -3*w^3 + 9*w^2 + 5*w - 5]', '[1687, 1687, 4*w^3 - 8*w^2 - 11*w + 1]', '[1691, 1691, -w^3 + 5*w^2 - 2*w - 8]', '[1693, 1693, w^3 - w^2 - 3*w - 7]', '[1697, 1697, w^3 - 11*w - 1]', '[1697, 1697, -4*w^2 + 5*w + 18]', '[1697, 1697, -w^2 - 4]', '[1697, 1697, -4*w^3 + 7*w^2 + 15*w + 1]', '[1699, 1699, 3*w^2 - 3*w - 11]', '[1705, 1705, -6*w^3 + 11*w^2 + 28*w - 6]', '[1715, 35, 4*w^3 - 7*w^2 - 17*w - 4]', '[1715, 1715, -3*w^3 + 3*w^2 + 15*w - 1]', '[1723, 1723, w^2 - w - 10]', '[1723, 1723, w^3 - 5*w - 9]', '[1727, 1727, 4*w^3 - 5*w^2 - 23*w + 4]', '[1729, 1729, -w^3 - w^2 + 3*w + 6]', '[1735, 1735, 3*w^2 - 7*w - 1]', '[1745, 1745, 3*w^3 - 7*w^2 - 4*w - 1]', '[1747, 1747, -6*w^3 + 12*w^2 + 27*w - 14]', '[1751, 1751, -8*w^3 + 13*w^2 + 38*w - 13]', '[1751, 1751, -4*w^3 + 8*w^2 + 23*w - 5]', '[1751, 1751, -w^2 + 7*w]', '[1753, 1753, 2*w^3 - w^2 - 14*w - 2]', '[1757, 1757, -2*w^3 + 5*w^2 + 10*w + 1]', '[1759, 1759, 3*w^2 - 2*w - 13]', '[1765, 1765, 5*w^3 - 13*w^2 - 14*w + 4]', '[1765, 1765, -3*w^3 + 5*w^2 + 10*w + 6]', '[1765, 1765, w^2 - w + 4]', '[1765, 1765, 4*w^3 - 7*w^2 - 18*w - 1]', '[1769, 1769, -5*w^3 + 8*w^2 + 27*w - 4]', '[1769, 1769, -2*w^3 + 5*w^2 + 9*w - 11]', '[1783, 1783, 3*w^3 - 7*w^2 - 13*w + 7]', '[1783, 1783, -3*w^3 + 7*w^2 + 12*w - 7]', '[1787, 1787, 3*w^3 - 7*w^2 - 13*w + 14]', '[1792, 28, 4*w - 4]', '[1793, 1793, -5*w^3 + 7*w^2 + 28*w + 2]', '[1795, 1795, w^2 - 6*w + 4]', '[1801, 1801, 3*w^3 - 3*w^2 - 17*w - 1]', '[1801, 1801, -2*w^3 + 4*w^2 + 11*w - 8]', '[1801, 1801, -4*w^3 + 6*w^2 + 20*w + 5]', '[1801, 1801, -w^3 + 3*w^2 - w - 6]', '[1805, 1805, -4*w^3 + 13*w^2 + 2*w - 5]', '[1807, 1807, 4*w^3 - 7*w^2 - 23*w + 1]', '[1807, 1807, 2*w^3 - w^2 - 11*w - 1]', '[1808, 226, 4*w^3 - 2*w^2 - 28*w - 12]', '[1811, 1811, -4*w^3 + 6*w^2 + 17*w + 4]', '[1811, 1811, 3*w^2 - 6*w - 17]', '[1823, 1823, -2*w^3 + 17*w + 5]', '[1823, 1823, -5*w^3 + 9*w^2 + 23*w - 3]', '[1825, 1825, w^3 - 2*w^2 - 7*w + 7]', '[1825, 1825, -5*w^3 + 8*w^2 + 22*w - 3]', '[1835, 1835, 5*w^3 - 11*w^2 - 16*w + 2]', '[1837, 1837, 3*w^3 - 7*w^2 - 13*w + 8]', '[1837, 1837, w^3 - 5*w^2 + w + 6]', '[1847, 1847, w^3 - 4*w^2 - w + 16]', '[1849, 1849, 2*w^3 - w^2 - 12*w - 2]', '[1855, 1855, -11*w^3 + 19*w^2 + 55*w - 14]', '[1859, 1859, -w^3 + w^2 + 3*w + 8]', '[1865, 1865, -3*w^3 + 7*w^2 + 12*w - 8]', '[1867, 1867, 2*w^3 - 3*w^2 - 6*w - 5]', '[1867, 1867, -2*w^3 + 5*w^2 + 7*w - 14]', '[1867, 1867, -5*w^3 + 9*w^2 + 19*w - 7]', '[1867, 1867, -2*w^3 - w^2 + 16*w + 14]', '[1873, 1873, -3*w^3 + 6*w^2 + 13*w + 1]', '[1877, 1877, w^3 - w^2 - 10*w - 2]', '[1877, 1877, -7*w^3 + 8*w^2 + 37*w + 8]', '[1879, 1879, 2*w^3 - w^2 - 16*w - 4]', '[1879, 1879, -4*w^3 + 7*w^2 + 15*w - 1]', '[1885, 1885, 4*w^3 - 4*w^2 - 20*w - 7]', '[1885, 1885, -w^3 + 2*w^2 - 6]', '[1889, 1889, 4*w^2 - 11*w - 11]', '[1889, 1889, w^3 - 2*w^2 - 3*w - 6]', '[1891, 1891, -5*w^3 + 8*w^2 + 25*w - 10]', '[1895, 1895, 5*w^3 - 12*w^2 - 16*w + 6]', '[1895, 1895, 4*w^3 - 7*w^2 - 15*w]', '[1901, 1901, -4*w^3 + 6*w^2 + 23*w + 1]', '[1901, 1901, w^3 - 4*w - 7]', '[1903, 1903, 4*w^3 - 8*w^2 - 9*w - 2]', '[1904, 238, -4*w^3 + 6*w^2 + 22*w + 4]', '[1904, 238, -2*w^3 + 4*w^2 + 6*w + 6]', '[1904, 238, 2*w^3 - 4*w^2 - 8*w + 10]', '[1913, 1913, 3*w^2 - 4*w - 8]', '[1915, 1915, 4*w^3 - 8*w^2 - 15*w - 1]', '[1921, 1921, -6*w^3 + 7*w^2 + 35*w + 5]', '[1921, 1921, 5*w^3 - 9*w^2 - 18*w - 9]', '[1921, 1921, w^3 - 7*w - 12]', '[1925, 1925, -w^3 + 11*w + 4]', '[1933, 1933, -2*w^3 + 5*w^2 + 9*w - 15]', '[1936, 22, 2*w^3 - 18*w - 6]', '[1936, 22, -2*w^2 + 4*w + 14]', '[1939, 1939, -4*w^3 + 5*w^2 + 22*w - 2]', '[1945, 1945, 3*w^3 - 7*w^2 - 11*w]', '[1945, 1945, 7*w^3 - 16*w^2 - 17*w + 1]', '[1957, 1957, 4*w^3 - 6*w^2 - 21*w - 4]', '[1963, 1963, 4*w^3 - 5*w^2 - 19*w - 3]', '[1967, 1967, -2*w^3 + 7*w^2 - 4*w - 1]', '[1973, 1973, w^3 - 11*w - 2]', '[1973, 1973, -4*w^3 + 8*w^2 + 14*w - 7]', '[1981, 1981, 6*w^3 - 11*w^2 - 29*w + 6]', '[1985, 1985, -3*w^2 + 4*w + 10]', '[1985, 1985, -2*w^3 + 7*w^2 + 1]', '[1991, 1991, 3*w^3 - 3*w^2 - 16*w]', '[1993, 1993, 2*w^3 + w^2 - 20*w - 9]', '[1997, 1997, 3*w^3 - 5*w^2 - 16*w - 4]', '[1997, 1997, 4*w^3 - 5*w^2 - 24*w - 5]', '[1997, 1997, 2*w^3 - 6*w^2 - 8*w + 11]', '[1997, 1997, 4*w^3 - 7*w^2 - 19*w]', '[2000, 10, -6*w^3 + 8*w^2 + 30*w + 2]', '[2000, 250, 2*w^3 - 18*w - 10]', '[2011, 2011, 5*w^3 - 5*w^2 - 26*w - 8]', '[2011, 2011, 4*w^3 - 5*w^2 - 21*w + 2]', '[2015, 2015, 3*w^3 - 6*w^2 - 14*w]', '[2021, 2021, -4*w^3 + 6*w^2 + 17*w - 1]', '[2023, 119, -2*w^2 + 8*w + 1]', '[2023, 119, -3*w^2 + 3*w + 7]', '[2023, 119, -2*w^3 + 3*w^2 + 14*w - 1]', '[2023, 119, -2*w^3 + w^2 + 13*w + 2]', '[2023, 2023, -2*w^3 + w^2 + 16*w + 6]', '[2023, 2023, 5*w^3 - 7*w^2 - 25*w - 8]', '[2025, 75, -3*w^3 + 3*w^2 + 18*w]', '[2027, 2027, -2*w^3 + 5*w^2 + 5*w - 9]', '[2027, 2027, 2*w^2 - w - 11]', '[2027, 2027, -w^3 - w^2 + 14*w + 11]', '[2027, 2027, 5*w^3 - 7*w^2 - 24*w - 1]', '[2039, 2039, -2*w - 7]', '[2041, 2041, 22*w^3 - 38*w^2 - 105*w + 29]', '[2051, 2051, 6*w^3 - 12*w^2 - 20*w + 5]', '[2053, 2053, 4*w^3 - 5*w^2 - 21*w + 4]', '[2053, 2053, -3*w^2 + 4*w + 9]', '[2057, 187, -w^3 + 11*w + 3]', '[2057, 187, 4*w^3 - 5*w^2 - 19*w - 5]', '[2057, 187, -4*w^3 + 3*w^2 + 27*w + 13]', '[2057, 187, w^2 + w - 8]', '[2057, 187, -2*w^3 + 3*w^2 + 10*w - 7]', '[2057, 187, -3*w^3 + 2*w^2 + 18*w + 6]', '[2063, 2063, 5*w^3 - 8*w^2 - 21*w + 4]', '[2063, 2063, 2*w^3 - w^2 - 16*w - 5]', '[2063, 2063, 2*w^3 - 2*w^2 - 15*w - 5]', '[2063, 2063, -5*w^3 + 7*w^2 + 24*w + 4]', '[2069, 2069, w^2 + w - 11]', '[2069, 2069, 5*w^3 - 7*w^2 - 28*w + 1]', '[2075, 2075, -5*w^3 + 10*w^2 + 19*w - 2]', '[2075, 2075, -3*w^3 + 7*w^2 + 9*w - 9]', '[2083, 2083, -4*w^3 + 8*w^2 + 16*w - 1]', '[2083, 2083, 3*w^3 - 6*w^2 - 13*w - 2]', '[2089, 2089, -w^3 + 3*w^2 + 6*w - 7]', '[2089, 2089, -5*w^3 + 8*w^2 + 22*w + 1]', '[2095, 2095, -2*w^3 + 2*w^2 + 8*w + 7]', '[2095, 2095, -w^3 + 2*w^2 + 4]', '[2095, 2095, 3*w^3 - 7*w^2 - 5*w - 3]', '[2095, 2095, 6*w^3 - 12*w^2 - 17*w - 3]', '[2101, 2101, 4*w^3 - 7*w^2 - 14*w - 2]', '[2107, 2107, 5*w^3 - 9*w^2 - 23*w + 13]', '[2117, 2117, -2*w^3 + 4*w^2 + 5*w - 6]', '[2117, 2117, -4*w^3 + 7*w^2 + 16*w + 8]', '[2117, 2117, 2*w^3 - 4*w^2 - 14*w + 1]', '[2117, 2117, 4*w^3 - 5*w^2 - 19*w - 4]', '[2119, 2119, -3*w^3 + 6*w^2 + 10*w - 7]', '[2123, 2123, -3*w^3 + 5*w^2 + 16*w + 5]', '[2123, 2123, 2*w^2 - 6*w - 9]', '[2125, 85, 11*w^3 - 18*w^2 - 55*w + 8]', '[2125, 85, 4*w^3 - 7*w^2 - 15*w + 12]', '[2125, 85, w^3 - 3*w^2 + 8]', '[2125, 2125, 2*w^3 - 6*w^2 - 5*w + 10]', '[2125, 2125, 4*w^3 - 8*w^2 - 15*w + 9]', '[2125, 2125, -3*w^3 + 2*w^2 + 19*w + 6]', '[2128, 266, 2*w^3 - 4*w^2 - 2*w + 4]', '[2131, 2131, w^3 + w^2 - 9*w - 2]', '[2135, 2135, -4*w^3 + 9*w^2 + 19*w - 10]', '[2137, 2137, w^3 - 5*w^2 - w + 15]', '[2141, 2141, 2*w^3 - 3*w^2 - 9*w - 8]', '[2141, 2141, -4*w^3 + 9*w^2 + 13*w]', '[2141, 2141, -6*w^3 + 11*w^2 + 27*w - 5]', '[2141, 2141, -2*w^2 + 5*w + 15]', '[2143, 2143, 3*w^2 - 3*w - 10]', '[2147, 2147, 5*w^3 - 6*w^2 - 25*w - 4]', '[2149, 2149, -w^3 + 3*w^2 + w + 4]', '[2149, 2149, -w^3 - w^2 + 8*w + 1]', '[2153, 2153, 2*w^3 - 3*w^2 - 14*w - 1]', '[2153, 2153, -w^3 - w^2 + 11*w + 14]', '[2155, 2155, -3*w^3 + 7*w^2 + 6*w - 5]', '[2161, 2161, -4*w^3 + 7*w^2 + 19*w - 11]', '[2161, 2161, w^2 - 2*w - 10]', '[2165, 2165, -5*w^3 + 13*w^2 + 8*w - 6]', '[2165, 2165, -w^3 + 4*w^2 - 5*w - 4]', '[2171, 2171, 2*w^3 - 3*w^2 - 9*w + 7]', '[2171, 2171, 16*w^3 - 27*w^2 - 75*w + 25]', '[2177, 2177, 2*w^3 - 5*w^2 - 4*w + 7]', '[2179, 2179, -2*w^3 + 6*w^2 + 3*w - 10]', '[2179, 2179, -5*w^3 + 7*w^2 + 28*w + 1]', '[2189, 2189, -w^3 + 6*w^2 - 9*w - 2]', '[2191, 2191, w^3 + 2*w^2 - 16*w - 1]', '[2195, 2195, 5*w^3 - 11*w^2 - 16*w - 3]', '[2197, 13, -6*w^3 + 10*w^2 + 25*w + 4]', '[2197, 2197, -w^3 + 2*w^2 + 2*w - 9]', '[2203, 2203, -5*w^3 + 8*w^2 + 22*w - 2]', '[2209, 47, -3*w^3 + 7*w^2 + 13*w - 15]', '[2209, 47, 4*w^3 - 10*w^2 - 11*w + 7]', '[2215, 2215, 7*w^3 - 17*w^2 - 11*w + 2]', '[2215, 2215, w^3 - 3*w^2 + 5*w]', '[2219, 2219, 3*w^3 - 8*w^2 - 8*w + 6]', '[2221, 2221, w^3 - 4*w^2 + 2*w - 3]', '[2224, 278, 2*w^3 - 4*w^2 - 10*w - 6]', '[2224, 278, 2*w^3 - 10*w - 10]', '[2225, 2225, -4*w^3 + 4*w^2 + 26*w - 1]', '[2233, 2233, w^3 - w^2 - 5*w - 9]', '[2233, 2233, 2*w^3 - w^2 - 14*w - 1]', '[2249, 2249, -2*w^3 + 4*w^2 + 4*w - 5]', '[2251, 2251, -6*w^3 + 9*w^2 + 33*w + 1]', '[2261, 2261, 3*w^3 - w^2 - 16*w - 7]', '[2261, 2261, -w^3 + 6*w^2 - 4*w - 8]', '[2261, 2261, 3*w^2 - 2*w - 8]', '[2263, 2263, 4*w^3 - 8*w^2 - 17*w + 2]', '[2263, 2263, 5*w^3 - 7*w^2 - 28*w]', '[2267, 2267, 3*w^3 - 3*w^2 - 17*w]', '[2269, 2269, 5*w^3 - 7*w^2 - 29*w - 7]', '[2269, 2269, 2*w^3 - w^2 - 12*w - 1]', '[2273, 2273, 5*w^3 - 7*w^2 - 24*w - 3]', '[2273, 2273, 2*w^3 - 2*w^2 - 15*w]', '[2273, 2273, -3*w^3 + 5*w^2 + 13*w - 9]', '[2273, 2273, 2*w^3 - 4*w^2 - 4*w - 7]', '[2275, 2275, -6*w^3 + 9*w^2 + 28*w - 3]', '[2279, 2279, -w^3 + 4*w^2 - w - 10]', '[2285, 2285, -3*w^3 + 9*w^2 - w - 2]', '[2285, 2285, -3*w^3 + 11*w^2 + 2*w - 4]', '[2287, 2287, -2*w^3 + 6*w^2 + 9*w - 9]', '[2288, 286, -4*w^3 + 4*w^2 + 22*w + 4]', '[2293, 2293, -w^3 + 3*w^2 - 11]', '[2299, 209, 3*w^3 - 3*w^2 - 16*w + 1]', '[2299, 209, -5*w^3 + 8*w^2 + 20*w + 6]', '[2303, 2303, -3*w^3 + 4*w^2 + 12*w + 8]', '[2305, 2305, 2*w^3 - w^2 - 14*w + 2]', '[2309, 2309, 5*w^3 - 11*w^2 - 18*w + 9]', '[2311, 2311, -4*w^3 + 8*w^2 + 21*w - 9]', '[2317, 2317, -3*w^3 + 3*w^2 + 16*w - 2]', '[2320, 290, 2*w^3 - 4*w^2 - 2*w - 2]', '[2320, 290, 2*w^2 - 8*w - 4]', '[2321, 2321, -w^3 + 3*w^2 - 2*w - 6]', '[2321, 2321, -3*w^3 + 2*w^2 + 20*w + 5]', '[2339, 2339, 3*w^2 - 6*w - 16]', '[2341, 2341, -4*w^3 + 10*w^2 + 12*w - 15]', '[2347, 2347, -w^3 - w^2 + 6*w + 11]', '[2347, 2347, 5*w^3 - 6*w^2 - 27*w - 2]', '[2349, 87, -3*w^3 + 3*w^2 + 18*w - 6]', '[2349, 87, 3*w^2 - 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w^2 - 2*w - 6]', '[2933, 2933, 4*w^3 - 5*w^2 - 18*w - 2]', '[2933, 2933, 5*w^3 - 8*w^2 - 21*w + 3]', '[2933, 2933, -5*w^3 + 9*w^2 + 19*w - 2]', '[2933, 2933, -3*w^3 + 5*w^2 + 8*w + 4]', '[2941, 2941, -w^3 + w^2 - 3*w - 5]', '[2941, 2941, -4*w^3 + 11*w^2 + w - 7]', '[2941, 2941, -3*w^3 + 6*w^2 + 14*w + 2]', '[2945, 2945, 2*w^3 - 7*w^2 + 2*w + 8]', '[2951, 2951, 10*w^3 - 18*w^2 - 49*w + 12]', '[2951, 2951, 8*w^3 - 12*w^2 - 38*w + 5]', '[2975, 2975, 7*w^3 - 10*w^2 - 36*w + 4]', '[2975, 2975, w^3 + 2*w^2 - 14*w - 3]', '[2975, 2975, -2*w^3 + 6*w^2 + 7*w - 11]', '[2977, 2977, -12*w^3 + 22*w^2 + 57*w - 23]', '[2977, 2977, 9*w^3 - 15*w^2 - 46*w + 9]', '[2983, 2983, -w^3 + w^2 + 5*w - 6]', '[2987, 2987, 5*w^3 - 7*w^2 - 20*w + 4]', '[2987, 2987, 2*w^3 - 8*w^2 + w + 8]', '[2989, 2989, -3*w^3 + 4*w^2 + 19*w + 1]', '[2992, 374, 6*w^3 - 10*w^2 - 26*w + 4]', '[2992, 374, 6*w^3 - 10*w^2 - 30*w + 2]', '[2992, 374, 6*w^3 - 8*w^2 - 30*w - 4]', '[3001, 3001, -7*w^3 + 8*w^2 + 41*w + 12]', '[3001, 3001, -w^3 - 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15*w - 9]', '[5363, 5363, -3*w^3 + 10*w^2 + 3*w - 14]', '[5375, 215, 4*w^3 - 7*w^2 - 20*w - 3]', '[5375, 5375, -3*w^3 + 2*w^2 + 20*w + 18]', '[5377, 5377, -10*w^3 + 17*w^2 + 48*w - 8]', '[5381, 5381, 4*w^2 - 5*w - 15]', '[5383, 5383, -6*w^3 + 9*w^2 + 27*w - 2]', '[5383, 5383, 4*w^3 - 6*w^2 - 14*w + 9]', '[5387, 5387, -w^3 + 5*w^2 + 3*w - 9]', '[5389, 5389, 5*w^3 - 7*w^2 - 22*w]', '[5389, 5389, 5*w^3 - 11*w^2 - 20*w + 13]', '[5389, 5389, 6*w^3 - 12*w^2 - 18*w - 1]', '[5392, 674, 2*w^3 - 2*w^2 - 16*w - 2]', '[5393, 5393, -w^3 + 5*w^2 + 2*w - 11]', '[5393, 5393, 2*w^3 - 17*w - 2]', '[5395, 5395, 5*w^3 - 8*w^2 - 20*w - 3]', '[5395, 5395, -4*w^2 + 6*w + 13]', '[5399, 5399, -w^3 + 2*w^2 + 4*w - 10]', '[5399, 5399, 4*w^3 - 7*w^2 - 14*w + 8]', '[5399, 5399, -w^3 - 3*w^2 + 12*w + 14]', '[5399, 5399, w^3 - w^2 - 2*w - 9]', '[5407, 5407, -6*w^3 + 8*w^2 + 29*w + 7]', '[5407, 5407, -2*w^3 + 4*w^2 + 7*w - 12]', '[5423, 5423, -4*w^3 + 6*w^2 + 24*w - 1]', '[5423, 5423, 4*w^3 - 6*w^2 - 17*w + 10]', '[5423, 5423, -6*w^3 + 7*w^2 + 36*w + 10]', '[5423, 5423, 3*w^3 - 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8]', '[5491, 323, -4*w^3 + 8*w^2 + 17*w + 4]', '[5491, 323, -5*w^3 + 5*w^2 + 24*w + 10]', '[5491, 323, -3*w^3 + 6*w^2 + 17*w + 4]', '[5491, 323, -4*w^3 + 6*w^2 + 13*w + 1]', '[5491, 5491, -2*w^3 + 5*w^2 + 5*w + 5]', '[5491, 5491, -3*w^3 + 6*w^2 + 15*w + 8]', '[5495, 5495, -23*w^3 + 39*w^2 + 110*w - 35]', '[5501, 5501, -5*w^3 + 6*w^2 + 29*w - 3]', '[5501, 5501, 3*w^2 - 7*w - 15]', '[5503, 5503, 6*w^3 - 11*w^2 - 20*w - 4]', '[5503, 5503, 7*w^3 - 11*w^2 - 34*w - 2]', '[5509, 5509, -2*w^3 + 8*w^2 + w - 7]', '[5509, 5509, -3*w^3 + 2*w^2 + 19*w + 3]', '[5515, 5515, 6*w^3 - 10*w^2 - 29*w]', '[5515, 5515, -3*w^3 + 12*w^2 + w - 5]', '[5519, 5519, 4*w^2 - 3*w - 18]', '[5519, 5519, 2*w^3 + 3*w^2 - 21*w - 20]', '[5521, 5521, 3*w^3 - 3*w^2 - 21*w - 2]', '[5525, 5525, -3*w^3 + 7*w^2 + 7*w - 8]', '[5525, 5525, -w^3 + 5*w^2 + w - 11]', '[5525, 5525, w^3 + 2*w^2 - 13*w - 16]', '[5527, 5527, -w^3 + 5*w^2 + w - 9]', '[5533, 5533, 6*w^3 - 10*w^2 - 25*w - 1]', '[5533, 5533, 3*w^3 - w^2 - 18*w - 7]', '[5537, 5537, -3*w^3 + 4*w^2 + 11*w + 16]', '[5539, 5539, w^2 - 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7]', '[5627, 5627, w^3 - w^2 - 5]', '[5627, 5627, -3*w^3 + 8*w^2 + 17*w - 10]', '[5627, 5627, -10*w^3 + 15*w^2 + 49*w - 9]', '[5629, 5629, 6*w^3 - 11*w^2 - 30*w + 4]', '[5629, 5629, -7*w^3 + 11*w^2 + 35*w - 13]', '[5639, 5639, 5*w^3 - 8*w^2 - 26*w - 3]', '[5639, 5639, 4*w^3 - 8*w^2 - 20*w + 1]', '[5641, 5641, -5*w^3 + 11*w^2 + 20*w - 10]', '[5641, 5641, -w^3 + 3*w^2 + w - 14]', '[5645, 5645, 3*w^3 - 8*w^2 - 7*w - 3]', '[5647, 5647, -9*w^3 + 13*w^2 + 44*w - 2]', '[5647, 5647, 5*w^3 - 7*w^2 - 27*w - 9]', '[5648, 706, -6*w^3 + 8*w^2 + 32*w + 10]', '[5648, 706, -6*w^3 + 8*w^2 + 28*w]', '[5648, 706, -2*w^3 + 6*w^2 + 8*w - 16]', '[5648, 706, -2*w^3 + 4*w^2 + 16*w - 6]', '[5651, 5651, -5*w^3 + 6*w^2 + 31*w + 9]', '[5651, 5651, 3*w^3 - 2*w^2 - 19*w - 18]', '[5657, 5657, w^3 + 3*w^2 - 11*w - 12]', '[5665, 5665, 11*w^3 - 17*w^2 - 54*w + 13]', '[5669, 5669, -2*w^3 + 5*w^2 + 4*w - 11]', '[5669, 5669, w^3 - 2*w^2 - 3*w - 8]', '[5675, 5675, -6*w^3 + 8*w^2 + 29*w + 3]', '[5675, 5675, -6*w^3 + 11*w^2 + 29*w - 4]', '[5687, 517, -w^3 + 5*w^2 + w - 10]', '[5687, 517, -8*w^3 + 10*w^2 + 38*w + 21]', '[5693, 5693, 3*w^3 - 5*w^2 - 9*w - 12]', '[5693, 5693, -3*w^3 + 7*w^2 + 6*w - 7]', '[5701, 5701, 6*w^3 - 12*w^2 - 23*w + 2]', '[5701, 5701, -5*w^3 + 8*w^2 + 23*w + 12]', '[5705, 5705, 3*w^3 - 4*w^2 - 20*w]', '[5707, 5707, 3*w^3 - 4*w^2 - 20*w - 2]', '[5711, 5711, -3*w^3 + 8*w^2 + 8*w - 16]', '[5711, 5711, -4*w^3 + 8*w^2 + 17*w + 2]', '[5719, 5719, -6*w^3 + 11*w^2 + 19*w + 4]', '[5725, 5725, 4*w^3 - 9*w^2 - 18*w + 17]', '[5725, 5725, -5*w^3 + 7*w^2 + 29*w]', '[5729, 5729, -6*w^3 + 8*w^2 + 31*w - 4]', '[5729, 5729, 3*w^3 - 6*w^2 - 5*w - 3]', '[5729, 5729, -w^3 + 4*w^2 + 8*w - 7]', '[5741, 5741, -3*w^3 + 8*w^2 + 10*w - 12]', '[5744, 718, -8*w^3 + 14*w^2 + 38*w - 6]', '[5749, 5749, 8*w^3 - 8*w^2 - 43*w - 14]', '[5749, 5749, 5*w^3 - 10*w^2 - 18*w + 10]', '[5759, 5759, -4*w^3 + 10*w^2 + 16*w - 7]', '[5759, 5759, -14*w^3 + 26*w^2 + 68*w - 19]', '[5765, 5765, 5*w^2 - 11*w - 7]', '[5765, 5765, -4*w^3 + 11*w^2 + 9*w - 8]', '[5771, 5771, 2*w^3 + w^2 - 19*w - 18]', '[5771, 5771, w^3 - w^2 - 2*w - 10]', '[5776, 722, -2*w^3 + 6*w^2 - 8]', '[5779, 5779, 3*w^3 - 3*w^2 - 21*w - 5]', '[5779, 5779, 11*w^3 - 17*w^2 - 53*w + 7]', '[5783, 5783, 4*w^3 - 5*w^2 - 25*w - 4]', '[5785, 5785, 4*w^3 - 3*w^2 - 28*w - 7]', '[5791, 5791, 6*w^3 - 7*w^2 - 30*w - 6]', '[5795, 5795, 5*w^3 - 11*w^2 - 17*w]', '[5797, 5797, -5*w^3 + 6*w^2 + 28*w - 6]', '[5797, 5797, -5*w^3 + 6*w^2 + 27*w - 1]', '[5797, 5797, -6*w^3 + 10*w^2 + 33*w - 6]', '[5813, 5813, -2*w^3 + 5*w^2 + 10*w - 12]', '[5813, 5813, 2*w^3 - w^2 - 10*w - 13]', '[5813, 5813, 6*w^3 - 5*w^2 - 32*w - 10]', '[5813, 5813, 2*w^3 - 9*w^2 + 3*w + 10]', '[5815, 5815, -2*w^3 + 10*w^2 - 9*w - 14]', '[5815, 5815, -2*w^3 + 9*w^2 - 4*w - 5]', '[5819, 253, -3*w^3 + 7*w^2 + 4*w + 4]', '[5819, 253, w^2 + 3*w - 7]', '[5825, 5825, 9*w^3 - 18*w^2 - 38*w + 13]', '[5825, 5825, 7*w^3 - 12*w^2 - 34*w + 16]', '[5827, 5827, -5*w^3 + 8*w^2 + 20*w - 1]', '[5831, 119, 3*w^3 - 7*w^2 - 11*w + 18]', '[5831, 119, 5*w^3 - 7*w^2 - 30*w - 5]', '[5831, 119, 2*w^3 - 19*w - 9]', '[5831, 5831, -3*w^3 + 7*w^2 + 9*w - 13]', '[5831, 5831, -4*w^3 + 7*w^2 + 22*w + 3]', '[5831, 5831, -5*w^3 + 10*w^2 + 19*w + 4]', '[5833, 5833, 2*w^3 - 16*w - 3]', '[5833, 5833, -9*w^3 + 10*w^2 + 48*w + 12]', '[5840, 730, -4*w^3 + 12*w^2 + 6*w - 8]', '[5840, 730, 4*w^2 - 8*w - 2]', '[5845, 5845, -19*w^3 + 33*w^2 + 93*w - 23]', '[5845, 5845, -5*w^3 + 9*w^2 + 25*w - 1]', '[5855, 5855, -8*w^3 + 22*w^2 + 15*w - 2]', '[5855, 5855, -3*w^3 + 10*w^2 + 3*w - 8]', '[5857, 5857, 5*w^3 - 3*w^2 - 35*w - 17]', '[5857, 5857, 7*w^3 - 6*w^2 - 45*w - 11]', '[5861, 5861, -3*w^3 + w^2 + 22*w + 7]', '[5861, 5861, 6*w^3 - 9*w^2 - 29*w - 12]', '[5867, 5867, w^3 + 2*w^2 - 10*w - 3]', '[5867, 5867, -3*w^3 + 4*w^2 + 15*w - 8]', '[5872, 734, -2*w^3 + 4*w^2 + 12*w - 10]', '[5873, 5873, 3*w^3 - 2*w^2 - 20*w - 2]', '[5875, 235, 3*w^3 - 4*w^2 - 20*w - 1]', '[5875, 5875, -10*w^3 + 10*w^2 + 52*w + 29]', '[5879, 5879, -6*w^3 + 8*w^2 + 35*w + 6]', '[5879, 5879, 5*w^3 - 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8*w^2 - 40*w - 4]', '[9571, 9571, -6*w^3 + 11*w^2 + 19*w + 9]', '[9575, 9575, -6*w^3 + 8*w^2 + 35*w]', '[9577, 9577, 4*w^3 - 7*w^2 - 20*w - 11]', '[9587, 9587, -2*w^3 + 4*w^2 + 8*w - 13]', '[9593, 9593, 3*w^3 - w^2 - 21*w - 6]', '[9599, 9599, -4*w^3 + 6*w^2 + 13*w - 9]', '[9599, 9599, 6*w^3 - 11*w^2 - 33*w + 12]', '[9601, 9601, w^3 + 3*w^2 - 14*w - 23]', '[9601, 9601, 6*w^3 - 12*w^2 - 29*w + 17]', '[9605, 9605, -5*w^3 - 2*w^2 + 42*w + 37]', '[9605, 9605, -12*w^3 + 7*w^2 + 79*w + 44]', '[9605, 9605, -6*w^2 + 12*w + 23]', '[9607, 9607, -4*w^3 + 5*w^2 + 26*w - 1]', '[9607, 9607, 32*w^3 - 55*w^2 - 150*w + 49]', '[9611, 9611, -6*w^3 + 10*w^2 + 29*w + 2]', '[9611, 9611, -6*w^3 + 9*w^2 + 34*w - 2]', '[9616, 1202, 6*w^3 - 10*w^2 - 34*w + 2]', '[9623, 9623, 5*w^3 - 9*w^2 - 21*w + 16]', '[9623, 9623, -2*w^3 + 6*w^2 + 9*w - 15]', '[9625, 385, -9*w^3 + 12*w^2 + 50*w + 3]', '[9625, 9625, 7*w^3 - 11*w^2 - 36*w - 2]', '[9629, 9629, 11*w^3 - 13*w^2 - 59*w - 14]', '[9631, 9631, -5*w^3 + 7*w^2 + 20*w]', '[9639, 357, 6*w^3 - 9*w^2 - 33*w - 6]', '[9639, 357, 3*w^3 - 6*w^2 - 9*w - 9]', '[9639, 357, -3*w^3 + 6*w^2 + 12*w - 15]', '[9641, 9641, w^2 + 3*w - 9]', '[9647, 9647, 2*w^3 - w^2 - 13*w - 17]', '[9647, 9647, -3*w^3 + 4*w^2 + 11*w + 11]', '[9649, 9649, -5*w^3 + 10*w^2 + 21*w]', '[9665, 9665, 10*w^3 - 19*w^2 - 38*w]', '[9667, 9667, -10*w^3 + 16*w^2 + 40*w - 11]', '[9667, 9667, -2*w^3 + 20*w + 3]', '[9673, 9673, 3*w^3 - w^2 - 16*w - 3]', '[9673, 9673, w^3 - 3*w^2 - 7*w + 10]', '[9673, 9673, -2*w^3 + 10*w^2 - 5*w - 7]', '[9677, 9677, -7*w^3 + 15*w^2 + 29*w - 20]', '[9677, 9677, 8*w^3 - 15*w^2 - 27*w + 7]', '[9679, 9679, 6*w^3 - 7*w^2 - 29*w - 10]', '[9679, 9679, 5*w^3 - 8*w^2 - 24*w - 13]', '[9680, 110, -6*w^3 + 12*w^2 + 22*w - 12]', '[9680, 110, -6*w^3 + 8*w^2 + 28*w + 6]', '[9689, 9689, -6*w^3 + 11*w^2 + 28*w - 2]', '[9691, 9691, 7*w^3 - 12*w^2 - 23*w - 9]', '[9695, 9695, 19*w^3 - 31*w^2 - 91*w + 19]', '[9697, 9697, 5*w^3 - w^2 - 38*w - 19]', '[9697, 9697, 8*w^3 - 9*w^2 - 41*w - 18]', '[9703, 9703, w^3 + 3*w^2 - 14*w - 6]', '[9709, 9709, w^3 + 2*w^2 - 18*w + 1]', '[9709, 9709, 7*w^3 - 14*w^2 - 24*w + 10]', '[9712, 1214, -4*w^3 + 10*w^2 + 14*w - 10]', '[9712, 1214, -2*w^3 + 6*w^2 + 12*w - 10]', '[9719, 9719, -7*w^3 + 11*w^2 + 31*w - 2]', '[9719, 9719, -8*w^3 + 11*w^2 + 40*w - 5]', '[9719, 9719, 3*w^3 - 3*w^2 - 22*w - 1]', '[9719, 9719, 10*w^3 - 14*w^2 - 52*w + 3]', '[9721, 9721, -3*w^2 + 8*w + 19]', '[9721, 9721, 6*w^3 - 6*w^2 - 34*w - 7]', '[9725, 9725, -4*w^3 + 6*w^2 + 25*w - 1]', '[9725, 9725, -2*w^3 - w^2 + 20*w + 3]', '[9733, 9733, -5*w^3 + 8*w^2 + 18*w + 1]', '[9739, 9739, 4*w^3 - 6*w^2 - 25*w]', '[9739, 9739, -6*w^3 + 9*w^2 + 35*w + 3]', '[9749, 9749, -3*w^3 + 4*w^2 + 14*w - 9]', '[9749, 9749, -3*w^3 + 7*w^2 + 7*w - 10]', '[9751, 9751, -12*w^3 + 24*w^2 + 44*w - 7]', '[9761, 9761, -6*w^3 + 9*w^2 + 30*w + 8]', '[9761, 9761, -9*w^3 + 13*w^2 + 50*w + 7]', '[9763, 9763, -16*w^3 + 29*w^2 + 76*w - 31]', '[9767, 9767, -4*w^3 + 10*w^2 + 15*w - 9]', '[9773, 9773, 5*w^3 - 6*w^2 - 22*w - 4]', '[9773, 9773, 7*w^3 - 10*w^2 - 37*w - 7]', '[9776, 1222, -2*w - 10]', '[9781, 9781, -2*w^3 + 6*w^2 + 10*w - 13]', '[9781, 9781, 11*w^3 - 15*w^2 - 58*w]', '[9785, 9785, -3*w^3 + 5*w^2 + 8*w + 7]', '[9793, 9793, -3*w^2 - w + 11]', '[9801, 33, -3*w^3 + 27*w + 9]', '[9801, 33, -3*w^2 + 6*w + 21]', '[9803, 9803, -7*w^3 + 10*w^2 + 36*w + 8]', '[9808, 1226, -8*w^3 + 10*w^2 + 42*w + 2]', '[9808, 1226, -10*w^3 + 16*w^2 + 46*w - 8]', '[9811, 9811, 5*w^2 - 7*w - 11]', '[9815, 9815, 8*w^3 - 9*w^2 - 47*w - 24]', '[9817, 9817, 3*w^3 - 4*w^2 - 21*w]', '[9817, 9817, 4*w^3 - 11*w^2 - 10*w + 9]', '[9823, 9823, 6*w^3 - 15*w^2 - 10*w - 6]', '[9827, 9827, 2*w^2 - 5*w + 6]', '[9835, 9835, -10*w^3 + 19*w^2 + 43*w - 10]', '[9841, 9841, -7*w^3 + 12*w^2 + 34*w - 17]', '[9841, 9841, 3*w^3 - 6*w^2 - 17*w + 11]', '[9847, 9847, 3*w^3 - w^2 - 20*w - 6]', '[9847, 9847, 2*w^3 - 5*w^2 - 7*w - 6]', '[9851, 9851, -10*w^3 + 11*w^2 + 53*w + 13]', '[9851, 9851, -3*w^3 + 9*w^2 + 8*w - 17]', '[9857, 9857, 3*w^3 - w^2 - 23*w - 24]', '[9857, 9857, 2*w^2 + 3*w - 8]', '[9859, 9859, -6*w^3 + 10*w^2 + 27*w + 7]', '[9863, 9863, 5*w^3 - 13*w^2 - 10*w + 11]', '[9863, 9863, 5*w^3 - 13*w^2 - 14*w + 8]', '[9865, 9865, -7*w^3 + 20*w^2 + 11*w - 9]', '[9865, 9865, -3*w^3 + 12*w^2 - 5*w - 2]', '[9877, 9877, -9*w^3 + 13*w^2 + 44*w + 1]', '[9877, 9877, -8*w^3 + 14*w^2 + 31*w + 5]', '[9877, 9877, 4*w^3 - 3*w^2 - 24*w - 5]', '[9877, 9877, -4*w^3 + 10*w^2 + 14*w - 13]', '[9877, 9877, -6*w^3 + 18*w^2 + 7*w - 12]', '[9877, 9877, -w^3 - 2*w^2 + 7*w + 17]', '[9883, 9883, -9*w^3 + 12*w^2 + 46*w - 1]', '[9887, 9887, -w^3 + 5*w^2 - 5*w - 12]', '[9887, 9887, -6*w^3 + 9*w^2 + 26*w + 4]', '[9889, 9889, 5*w^3 - 8*w^2 - 17*w + 1]', '[9889, 9889, 6*w^3 - 11*w^2 - 27*w + 1]', '[9904, 1238, 2*w^3 + 2*w^2 - 18*w - 10]', '[9904, 1238, -6*w^3 + 8*w^2 + 28*w + 4]', '[9905, 9905, -24*w^3 + 41*w^2 + 118*w - 30]', '[9911, 9911, -6*w^3 + 11*w^2 + 26*w - 18]', '[9911, 9911, -10*w^3 + 19*w^2 + 49*w - 20]', '[9911, 9911, -10*w^3 + 16*w^2 + 48*w - 17]', '[9917, 9917, 2*w^3 - 4*w^2 - 6*w - 9]', '[9917, 9917, 5*w^2 - 13*w - 2]', '[9923, 9923, 6*w^3 - 7*w^2 - 32*w - 1]', '[9923, 9923, 7*w^3 - 10*w^2 - 38*w - 7]', '[9925, 9925, -4*w^2 + 13*w + 7]', '[9925, 9925, -8*w^3 + 15*w^2 + 31*w - 12]', '[9929, 9929, 7*w^3 - 10*w^2 - 33*w - 4]', '[9929, 9929, w^3 - 5*w^2 + w + 23]', '[9931, 9931, -5*w^3 + 7*w^2 + 31*w + 6]', '[9931, 9931, 9*w^3 - 13*w^2 - 50*w - 4]', '[9941, 9941, -8*w^3 + 11*w^2 + 39*w - 8]', '[9941, 9941, -w^3 - 3*w^2 + 13*w + 6]', '[9943, 9943, 4*w^3 - 3*w^2 - 26*w - 4]', '[9947, 203, 6*w^3 - 7*w^2 - 29*w - 6]', '[9947, 203, 5*w^3 - 7*w^2 - 30*w + 2]', '[9947, 9947, 3*w^3 - w^2 - 18*w - 5]', '[9947, 9947, 3*w^3 - 3*w^2 - 19*w - 16]', '[9949, 9949, -11*w^3 + 18*w^2 + 49*w + 5]', '[9955, 9955, -13*w^3 + 20*w^2 + 62*w - 10]', '[9961, 9961, 7*w^3 - 12*w^2 - 39*w + 9]', '[9965, 9965, -9*w^3 + 28*w^2 + 6*w - 17]', '[9967, 9967, -3*w^3 + 5*w^2 + 12*w - 12]', '[9967, 9967, w^3 - w^2 - 5*w - 12]', '[9968, 1246, 2*w^2 - 10*w + 8]', '[9985, 9985, 4*w^3 - 7*w^2 - 10*w - 5]', '[9985, 9985, -w^3 + 6*w^2 - 2*w - 11]', '[9985, 9985, -3*w^3 + 4*w^2 + 21*w + 2]', '[9985, 9985, 3*w^3 - 7*w^2 - 3*w - 4]', '[9997, 9997, -15*w^3 + 28*w^2 + 70*w - 28]', '[9997, 9997, 17*w^3 - 30*w^2 - 85*w + 19]', '[10000, 10, 10]', '[10000, 1250, -2*w^3 + 4*w^2 + 2*w - 8]'], 'label': '4.4.8789.1', 'narrow_class_no': 1, 'primes': ['[5, 5, -w^3 + 2*w^2 + 3*w]', '[7, 7, w - 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[13, 13, -2*w^3 + 3*w^2 + 10*w - 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 5*w - 3]', '[17, 17, -w^3 + w^2 + 5*w]', '[17, 17, -w^2 + 2*w + 1]', '[19, 19, w^2 - w - 2]', '[29, 29, w^3 - 2*w^2 - 5*w]', '[29, 29, w^2 - w - 3]', '[31, 31, -w^3 + 2*w^2 + 3*w - 2]', '[43, 43, 2*w^3 - 3*w^2 - 11*w]', '[47, 47, w^3 - 7*w - 4]', '[53, 53, -2*w^3 + 3*w^2 + 9*w - 1]', '[61, 61, -w - 3]', '[73, 73, -w^3 + 2*w^2 + 3*w - 3]', '[73, 73, w^3 - w^2 - 7*w - 1]', '[81, 3, -3]', '[83, 83, -2*w^3 + 3*w^2 + 9*w + 1]', '[83, 83, -w^3 + 3*w^2 + 2*w - 3]', '[89, 89, w - 4]', '[103, 103, w^3 - 2*w^2 - 6*w + 3]', '[113, 113, 2*w^3 - w^2 - 14*w - 6]', '[121, 11, -w^2 + 2*w + 7]', '[125, 5, -3*w^3 + 4*w^2 + 15*w + 1]', '[139, 139, w^3 - 2*w^2 - 5*w - 3]', '[139, 139, w^3 - 5*w - 5]', '[151, 151, w^3 - 9*w - 7]', '[157, 157, -3*w^3 + 6*w^2 + 13*w - 6]', '[163, 163, w^3 - 3*w^2 - 2*w + 9]', '[167, 167, -w^3 + 7*w + 3]', '[167, 167, -3*w^3 + 4*w^2 + 15*w - 1]', '[173, 173, 2*w^3 - 3*w^2 - 7*w - 2]', '[181, 181, -w^3 + 3*w^2 + 4*w - 5]', '[191, 191, w^3 - w^2 - 4*w - 4]', '[193, 193, -w^3 + w^2 + 7*w + 6]', '[193, 193, 2*w^3 - 2*w^2 - 13*w - 5]', '[199, 199, -2*w^3 + 5*w^2 + 5*w - 5]', '[211, 211, w^3 - w^2 - 8*w - 3]', '[211, 211, -2*w^2 + 3*w + 8]', '[227, 227, -w^3 + 3*w^2 + 4*w - 4]', '[227, 227, w^2 - 3*w - 6]', '[229, 229, w^2 - 5]', '[229, 229, 3*w^3 - 4*w^2 - 17*w - 2]', '[233, 233, 3*w^3 - 6*w^2 - 13*w + 3]', '[233, 233, 3*w^3 - 4*w^2 - 16*w + 1]', '[241, 241, -2*w^3 + 4*w^2 + 8*w + 1]', '[251, 251, 2*w^3 - 2*w^2 - 9*w - 3]', '[277, 277, 3*w^3 - 4*w^2 - 17*w - 1]', '[281, 281, -2*w^2 + 5*w + 1]', '[283, 283, -4*w^3 + 6*w^2 + 19*w - 2]', '[293, 293, -3*w^3 + 6*w^2 + 12*w - 2]', '[307, 307, w^3 - w^2 - 4*w - 5]', '[307, 307, w^3 - w^2 - 8*w - 2]', '[311, 311, 2*w^2 - 3*w - 7]', '[313, 313, -2*w^3 + w^2 + 15*w + 3]', '[317, 317, -w^3 + 3*w^2 + w - 5]', '[331, 331, 2*w^3 - 3*w^2 - 12*w]', '[337, 337, w^3 - w^2 - 8*w - 1]', '[343, 7, -w^3 + 6*w + 8]', '[347, 347, 2*w^3 - 4*w^2 - 7*w + 5]', '[349, 349, 2*w^3 - 4*w^2 - 9*w]', '[353, 353, -3*w^3 + 4*w^2 + 16*w + 5]', '[353, 353, -3*w^3 + 4*w^2 + 14*w]', '[353, 353, -w^3 + 3*w^2 + 4*w - 8]', '[353, 353, -w^3 + 2*w^2 + 8*w - 3]', '[359, 359, -4*w^3 + 7*w^2 + 19*w - 3]', '[367, 367, -w^3 + 2*w^2 + 6*w - 5]', '[373, 373, 5*w^3 - 8*w^2 - 26*w + 3]', '[379, 379, -3*w^3 + 5*w^2 + 17*w - 4]', '[379, 379, -w^3 + 2*w^2 + 4*w - 6]', '[383, 383, w^2 - 6]', '[389, 389, w^3 - 2*w^2 - 3*w - 4]', '[389, 389, w^2 + w - 4]', '[397, 397, -4*w^3 + 5*w^2 + 23*w + 5]', '[397, 397, -3*w^3 + 5*w^2 + 12*w - 2]', '[419, 419, -3*w^3 + 4*w^2 + 17*w + 5]', '[419, 419, -3*w^3 + 5*w^2 + 15*w]', '[419, 419, 3*w^3 - 5*w^2 - 14*w - 1]', '[419, 419, 2*w^3 - 3*w^2 - 10*w - 6]', '[431, 431, 2*w^3 - 2*w^2 - 11*w]', '[433, 433, w^3 - 8*w - 1]', '[433, 433, 2*w^2 - 2*w - 5]', '[439, 439, 2*w^3 - 2*w^2 - 9*w - 6]', '[443, 443, 2*w^3 - 5*w^2 - 7*w]', '[443, 443, 2*w^3 - 5*w^2 - 9*w + 4]', '[457, 457, -2*w^3 + 5*w^2 + 7*w - 4]', '[457, 457, -w^3 + 2*w^2 - 3]', '[461, 461, -4*w^3 + 7*w^2 + 17*w - 7]', '[479, 479, 3*w^3 - 5*w^2 - 12*w + 6]', '[487, 487, -2*w^3 + 5*w^2 + 9*w - 9]', '[487, 487, w^3 - 10*w - 8]', '[499, 499, 2*w^3 - 2*w^2 - 12*w + 1]', '[503, 503, w^2 - 7]', '[503, 503, w^3 + w^2 - 7*w - 8]', '[529, 23, -3*w^3 + 5*w^2 + 12*w + 1]', '[529, 23, 3*w^3 - 4*w^2 - 14*w - 1]', '[541, 541, w^3 - 4*w^2 - 2*w + 11]', '[563, 563, -2*w^3 + w^2 + 15*w + 6]', '[569, 569, w^3 - 2*w^2 - 4*w - 4]', '[601, 601, 3*w^3 - 5*w^2 - 17*w + 1]', '[607, 607, -2*w^3 + 5*w^2 + 7*w - 5]', '[607, 607, -w^3 + 3*w^2 + 6*w - 5]', '[613, 613, -4*w^3 + 5*w^2 + 21*w + 1]', '[613, 613, -5*w^3 + 8*w^2 + 23*w - 4]', '[619, 619, w^3 + w^2 - 9*w - 5]', '[619, 619, -3*w^3 + 4*w^2 + 14*w + 2]', '[641, 641, -6*w^3 + 8*w^2 + 31*w + 3]', '[643, 643, 3*w^3 - 4*w^2 - 17*w - 6]', '[643, 643, -2*w^3 + 5*w^2 + 7*w - 6]', '[647, 647, 3*w^3 - 4*w^2 - 13*w - 10]', '[653, 653, -3*w^3 + 5*w^2 + 14*w + 2]', '[653, 653, w^3 - 2*w^2 - w - 3]', '[661, 661, 5*w^3 - 9*w^2 - 24*w + 5]', '[683, 683, 2*w^3 - 3*w^2 - 13*w - 2]', '[683, 683, 4*w^3 - 7*w^2 - 18*w + 1]', '[719, 719, -w^3 + 2*w^2 + 3*w - 7]', '[719, 719, 3*w^3 - 5*w^2 - 16*w - 1]', '[727, 727, -2*w^3 + 5*w^2 + 8*w - 7]', '[727, 727, 2*w^3 - 5*w^2 - 7*w + 13]', '[733, 733, -2*w^2 + 7]', '[733, 733, -3*w^3 + 5*w^2 + 11*w + 2]', '[739, 739, -6*w^3 + 9*w^2 + 29*w - 3]', '[739, 739, -2*w^3 + 3*w^2 + 7*w + 5]', '[751, 751, 4*w^3 - 5*w^2 - 23*w - 3]', '[757, 757, -w^3 + 10*w + 4]', '[757, 757, 2*w^3 - w^2 - 14*w - 4]', '[769, 769, -w^3 + 4*w^2 + 4*w - 8]', '[769, 769, 4*w^3 - 6*w^2 - 21*w - 2]', '[787, 787, 3*w^3 - 3*w^2 - 19*w - 6]', '[787, 787, -2*w^2 + 6*w + 7]', '[839, 839, -3*w^3 + 3*w^2 + 19*w + 5]', '[841, 29, 3*w^3 - 4*w^2 - 13*w - 4]', '[853, 853, -3*w^3 + 5*w^2 + 14*w + 3]', '[853, 853, 2*w^2 - w - 9]', '[853, 853, 3*w^3 - 5*w^2 - 11*w + 1]', '[853, 853, w - 6]', '[857, 857, 2*w^3 - 2*w^2 - 9*w - 7]', '[857, 857, -4*w^3 + 8*w^2 + 13*w - 1]', '[859, 859, 2*w^3 - 4*w^2 - 13*w + 2]', '[859, 859, w^3 - w^2 - 9*w - 2]', '[863, 863, -2*w^3 - w^2 + 17*w + 11]', '[877, 877, 5*w^3 - 6*w^2 - 28*w - 9]', '[877, 877, -4*w^3 + 5*w^2 + 20*w + 6]', '[881, 881, 4*w^3 - 5*w^2 - 18*w - 8]', '[911, 911, -w^3 + 4*w^2 - w - 8]', '[911, 911, 2*w^3 - 3*w^2 - 13*w - 1]', '[919, 919, w^3 - w^2 - 7*w + 5]', '[929, 929, 2*w^3 - 3*w^2 - 13*w + 1]', '[929, 929, -2*w^3 + 5*w^2 + 6*w - 11]', '[941, 941, -3*w^3 + 7*w^2 + 12*w - 5]', '[953, 953, -2*w^3 + 5*w^2 + 5*w - 7]', '[971, 971, w^3 - w^2 - 3*w - 5]', '[971, 971, 3*w^3 - 7*w^2 - 12*w + 11]', '[977, 977, 3*w^3 - 5*w^2 - 11*w]', '[997, 997, -2*w^3 + 3*w^2 + 6*w - 5]', '[997, 997, -4*w^3 + 7*w^2 + 16*w - 2]']}
• 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[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, -6, -1, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 8789, 'disc_rad': 8789, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 93.74966666607408, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.8789.1', 'local_algs': ['11.2.1.0a1.1', '11.1.2.1a1.2', '17.1.1.0a1.1', '17.1.1.0a1.1', '17.1.2.1a1.2', '47.2.1.0a1.1', '47.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 0, 'ramps': [11, 17, 47], 'rd': 9.68244115221, 'regulator': {'__RealLiteral__': 0, 'data': '4.20025231363', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 4, 'used_grh': False}