Hilbert modular form data - 4.4.14197.1-31.2-b

Formats: - HTML - YAML - JSON - 2026-03-18T14:38:29.881639

• 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': 14197, 'field_bad_primes': [14197], 'field_label': '4.4.14197.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.14197.1-31.2-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [31], 'level_ideal': '[31, 31, w^2 - 2]', 'level_label': '31.2', 'level_norm': 31, 'parallel_weight': 2, 'short_label': '31.2-b', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[31, 31, w^2 - 2]', -1]], 'hecke_eigenvalues': [-2, -4, -2, -2, 1, 4, 4, -8, 4, 4, 1, 4, -12, -2, 10, 8, 8, 12, -10, -4, -14, -10, -12, -8, 16, 0, -2, -2, -2, 6, 16, 4, 10, -14, -6, 16, -22, -12, 20, -26, -2, -8, 28, -10, -8, 10, -2, 0, -26, 12, 6, 0, 18, -20, -12, -4, 20, -6, 18, -6, 14, 8, -26, -2, -4, -14, 30, -16, 10, 26, -24, 22, 20, -10, 18, 28, -36, -4, 14, -36, -16, 2, 0, -22, -32, 8, -32, 8, -28, 12, 14, -40, -2, 36, 42, 28, 30, -38, 10, -26, -22, -6, -38, 24, 10, -18, 40, 8, -28, -40, 18, 38, -2, -18, 22, 36, -8, -36, -22, -6, 0, 8, 10, -34, 8, -34, 40, 18, -22, 14, -50, -48, 40, 40, -6, 24, -14, 20, -6, 46, 24, 0, -24, 20, 32, -44, 14, 22, 22, -48, -54, 58, 58, 42, 24, 0, -48], 'hecke_polynomial': 'x', 'label': '4.4.14197.1-31.2-b'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 14197, 'ideals': ['[1, 1, 1]', '[7, 7, w - 1]', '[9, 3, w^3 - 5*w - 2]', '[9, 3, w^3 - w^2 - 4*w]', '[13, 13, -w + 2]', '[16, 2, 2]', '[17, 17, w^3 - w^2 - 5*w]', '[19, 19, -w^3 + w^2 + 6*w]', '[23, 23, -w^2 + w + 3]', '[29, 29, w^3 - 5*w]', '[31, 31, w^3 - 6*w - 1]', '[31, 31, w^2 - 2]', '[37, 37, -w - 3]', '[37, 37, w^3 - 4*w - 1]', '[37, 37, w^3 - 7*w - 4]', '[37, 37, w^2 - 3]', '[43, 43, w^2 + w - 3]', '[43, 43, w^3 - w^2 - 5*w - 1]', '[47, 47, -w^3 + w^2 + 5*w - 4]', '[49, 49, w^3 - 7*w - 1]', '[53, 53, w^3 - 6*w]', '[61, 61, w^3 - w^2 - 7*w - 2]', '[63, 21, -w^3 + w^2 + 6*w + 1]', '[63, 21, w^3 - w^2 - 7*w]', '[67, 67, -w^3 + 4*w - 2]', '[73, 73, w^3 - 7*w - 3]', '[79, 79, w^3 - 7*w - 2]', '[79, 79, -2*w^3 + w^2 + 10*w]', '[81, 3, 3]', '[81, 9, -w^3 + w^2 + 4*w - 3]', '[81, 9, w^2 - 2*w - 4]', '[83, 83, -2*w^3 + 11*w + 4]', '[91, 91, w^3 - w^2 - 4*w + 4]', '[101, 101, -2*w^3 + w^2 + 10*w + 2]', '[101, 101, w^3 - w^2 - 6*w - 2]', '[109, 109, -3*w - 1]', '[112, 14, 2*w - 2]', '[113, 113, 2*w^3 - w^2 - 10*w - 1]', '[117, 39, -2*w^3 + w^2 + 12*w + 1]', '[117, 39, 2*w^3 - w^2 - 11*w - 3]', '[119, 119, -w^3 + 4*w + 4]', '[133, 133, w^3 - 2*w^2 - 5*w + 6]', '[144, 6, 2*w^3 - 10*w - 4]', '[144, 6, 2*w^3 - 2*w^2 - 8*w]', '[149, 149, w^2 - 2*w - 8]', '[153, 51, -2*w^3 + w^2 + 9*w + 4]', '[153, 51, -w^2 - w + 4]', '[157, 157, w^3 + w^2 - 5*w - 7]', '[161, 161, -w^3 + 2*w^2 + 2*w - 3]', '[163, 163, 3*w^3 - 2*w^2 - 15*w - 1]', '[167, 167, 3*w^3 - w^2 - 16*w - 3]', '[169, 169, -2*w^3 + 2*w^2 + 11*w - 1]', '[171, 57, 2*w^3 - 10*w - 5]', '[171, 57, w^3 - 2*w^2 - 4*w + 3]', '[173, 173, -w - 4]', '[173, 173, w^2 - 2*w - 5]', '[179, 179, -w^3 + 2*w^2 + 4*w - 4]', '[181, 181, -w^3 + 2*w^2 + 6*w - 6]', '[191, 191, 2*w^2 - 3*w - 7]', '[191, 191, 2*w^2 - w - 3]', '[197, 197, 2*w^3 - w^2 - 13*w - 4]', '[197, 197, w^3 + w^2 - 8*w - 3]', '[203, 203, -w^3 + w^2 + 5*w - 5]', '[207, 69, -2*w^3 + 2*w^2 + 9*w - 4]', '[207, 69, -2*w^3 + w^2 + 12*w + 4]', '[208, 26, -2*w + 4]', '[217, 217, -w^3 + 8*w]', '[217, 217, 2*w^3 - w^2 - 11*w - 4]', '[221, 221, -2*w^2 + 3*w + 2]', '[223, 223, 3*w^3 - w^2 - 16*w - 4]', '[227, 227, -w^3 + 2*w^2 + 5*w - 5]', '[227, 227, w^3 - 4*w - 5]', '[239, 239, 2*w^3 - 11*w - 3]', '[239, 239, -2*w^3 + 2*w^2 + 10*w - 7]', '[239, 239, w^3 - w^2 - 5*w - 4]', '[239, 239, w^3 - 4*w - 7]', '[247, 247, -3*w^3 + 2*w^2 + 15*w - 1]', '[256, 4, 4]', '[257, 257, -2*w^3 + w^2 + 9*w]', '[259, 259, -w^3 - w^2 + 6*w + 3]', '[259, 259, -w^2 - 2*w + 3]', '[259, 259, -w^3 + 2*w^2 + 6*w]', '[259, 259, w^3 - w^2 - 3*w + 3]', '[261, 87, -w^3 + 8*w + 4]', '[261, 87, -2*w^3 + 13*w + 4]', '[263, 263, -w^3 + 2*w^2 + 5*w - 4]', '[269, 269, 2*w^3 - w^2 - 9*w - 3]', '[269, 269, w^3 - w^2 - 4*w - 4]', '[272, 34, 2*w^3 - 2*w^2 - 10*w]', '[279, 93, -w^2 + 2*w + 7]', '[279, 93, -2*w^3 - w^2 + 14*w + 9]', '[279, 93, w^3 - 5*w - 7]', '[279, 93, 3*w^3 - 2*w^2 - 17*w - 1]', '[281, 281, 3*w - 2]', '[281, 281, 4*w^3 - 2*w^2 - 21*w]', '[289, 289, -2*w^3 + w^2 + 11*w + 5]', '[293, 293, w^3 - 4*w - 6]', '[299, 299, -w^3 + w^2 + 8*w + 1]', '[301, 301, w^3 - 4*w + 3]', '[301, 301, -2*w^3 + 2*w^2 + 7*w]', '[304, 38, -2*w^3 + 2*w^2 + 12*w]', '[307, 307, 2*w^3 - 13*w - 6]', '[307, 307, -w^3 + 3*w^2 + 3*w - 11]', '[311, 311, 3*w^3 - w^2 - 18*w - 7]', '[311, 311, w^2 + w - 5]', '[313, 313, -w^3 + w^2 + 7*w - 4]', '[313, 313, w^2 - w - 8]', '[323, 323, -2*w^3 + w^2 + 10*w - 4]', '[329, 329, 2*w^3 - 2*w^2 - 12*w + 5]', '[333, 111, -3*w^3 - w^2 + 14*w + 7]', '[333, 111, -2*w^3 + w^2 + 9*w + 1]', '[333, 111, w^2 - w + 2]', '[333, 111, w^2 + 4*w + 5]', '[333, 111, -3*w^3 - 2*w^2 + 16*w + 14]', '[333, 111, -2*w^2 + 2*w + 5]', '[333, 111, -2*w^3 + w^2 + 14*w + 6]', '[333, 111, -w^3 + 8*w + 1]', '[337, 337, -2*w^3 + w^2 + 9*w + 2]', '[343, 7, w^3 + w^2 - 5*w - 8]', '[343, 343, -w^3 - 2*w^2 + 8*w + 9]', '[347, 347, 2*w^3 - 3*w^2 - 11*w + 2]', '[347, 347, w^3 - w^2 - 2*w - 3]', '[353, 353, 3*w^3 - 2*w^2 - 15*w - 3]', '[353, 353, w^3 - 6*w - 7]', '[359, 359, -2*w^3 + w^2 + 12*w + 5]', '[361, 361, w^3 - 8*w - 3]', '[367, 367, 2*w^3 - 2*w^2 - 13*w + 4]', '[368, 46, -2*w^2 + 2*w + 6]', '[371, 371, -w^3 + 9*w - 1]', '[373, 373, -3*w^3 + w^2 + 15*w + 7]', '[373, 373, w^3 + w^2 - 8*w - 11]', '[377, 377, w^3 + w^2 - 8*w - 9]', '[387, 129, -2*w^3 + 2*w^2 + 15*w + 5]', '[387, 129, -2*w^3 + 2*w^2 + 11*w]', '[387, 129, -w^3 - w^2 + 4*w + 6]', '[387, 129, -w^3 + 2*w^2 + 2]', '[389, 389, 3*w^3 - w^2 - 17*w - 1]', '[391, 391, w^3 + w^2 - 8*w - 2]', '[397, 397, -3*w^3 + w^2 + 16*w + 9]', '[397, 397, 2*w^2 - w - 4]', '[401, 401, -w^3 + w^2 + 3*w - 4]', '[403, 403, -2*w^3 + 2*w^2 + 9*w + 3]', '[403, 403, -w^3 + 2*w^2 + 2*w - 4]', '[421, 421, 3*w^3 - 2*w^2 - 14*w - 6]', '[421, 421, 2*w^2 + w - 4]', '[423, 141, -4*w^3 + w^2 + 21*w + 4]', '[423, 141, -4*w^3 + 3*w^2 + 20*w - 2]', '[427, 427, -2*w^3 + 8*w + 1]', '[433, 433, 2*w^3 - w^2 - 13*w - 3]', '[433, 433, 2*w^3 - w^2 - 12*w - 6]', '[437, 437, -2*w^3 + 11*w + 2]', '[439, 439, 2*w^3 - w^2 - 13*w - 7]', '[439, 439, w^3 - 3*w - 4]', '[441, 147, -w^3 + 2*w^2 + 6*w - 7]', '[441, 147, -2*w^2 + w + 8]', '[457, 457, 2*w^2 - 7]', '[457, 457, 2*w^3 - 2*w^2 - 10*w - 5]', '[461, 461, w - 5]', '[463, 463, w^3 + 2*w^2 - 5*w - 9]', '[463, 463, w^3 + w^2 - 8*w - 10]', '[464, 58, 2*w^3 - 10*w]', '[467, 467, -4*w^3 + 2*w^2 + 21*w + 3]', '[467, 467, w^3 + 2*w^2 - 8*w - 6]', '[469, 469, w^3 - 2*w^2 - 9*w + 3]', '[477, 159, 3*w^3 - 4*w^2 - 11*w + 4]', '[477, 159, w^3 - w^2 - 3*w + 5]', '[481, 481, 2*w^3 + w^2 - 13*w - 7]', '[481, 481, -w^3 + 2*w^2 + 3*w - 6]', '[481, 481, 2*w^3 - 2*w^2 - 10*w - 1]', '[481, 481, w^2 + w - 6]', '[491, 491, -w - 5]', '[491, 491, 3*w^3 - w^2 - 17*w - 7]', '[493, 493, 4*w^3 - 2*w^2 - 21*w - 1]', '[496, 62, 2*w^3 - 12*w - 2]', '[496, 62, 2*w^2 - 4]', '[499, 499, w^3 - 2*w^2 - 7*w + 5]', '[503, 503, -2*w^3 + 3*w^2 + 8*w]', '[511, 511, -w^3 - w^2 + 7*w + 2]', '[527, 527, 2*w^3 - 3*w^2 - 9*w + 5]', '[527, 527, w^3 + w^2 - 5*w - 9]', '[529, 529, 3*w^3 - 2*w^2 - 18*w]', '[541, 541, 2*w^3 - w^2 - 13*w]', '[541, 541, -3*w^3 + 3*w^2 + 17*w - 2]', '[549, 183, -2*w^3 - 3*w^2 + 7*w + 10]', '[549, 183, -w^2 - 2*w + 4]', '[551, 551, -2*w^3 + w^2 + 8*w + 2]', '[553, 553, -w^3 - w^2 + 8*w + 1]', '[553, 553, 3*w^3 - 3*w^2 - 16*w + 2]', '[557, 557, -2*w^3 + w^2 + 8*w + 1]', '[559, 559, -w^3 + w^2 + 5*w - 6]', '[559, 559, 3*w^3 - 3*w^2 - 12*w - 1]', '[563, 563, -4*w^3 + 3*w^2 + 22*w - 1]', '[563, 563, 3*w^3 - 2*w^2 - 16*w - 2]', '[567, 21, 3*w - 3]', '[567, 63, -2*w^3 - w^2 + 11*w + 6]', '[567, 63, w^3 - 3*w^2 - 2*w + 4]', '[571, 571, 2*w^2 - w - 7]', '[571, 571, 3*w^3 - 2*w^2 - 18*w + 1]', '[581, 581, 2*w^3 - w^2 - 13*w - 2]', '[589, 589, -w^3 + 3*w^2 + 2*w - 6]', '[589, 589, -2*w^3 + 3*w^2 + 11*w - 6]', '[592, 74, -2*w - 6]', '[592, 74, 2*w^3 - 8*w - 2]', '[592, 74, 2*w^3 - 14*w - 8]', '[592, 74, 2*w^2 - 6]', '[593, 593, w^3 + 2*w^2 - 7*w - 8]', '[601, 601, 2*w^2 - 5]', '[603, 201, -3*w^3 + 2*w^2 + 13*w - 2]', '[603, 201, -3*w^3 - w^2 + 11*w + 1]', '[611, 611, -3*w^3 + 3*w^2 + 17*w - 9]', '[613, 613, 3*w^3 - w^2 - 15*w - 2]', '[613, 613, -w^3 + 3*w^2 + 3*w - 3]', '[617, 617, 3*w^3 - 19*w - 10]', '[617, 617, 2*w^3 - w^2 - 13*w - 1]', '[625, 5, -5]', '[629, 629, -2*w^3 + 2*w^2 + 12*w + 1]', '[629, 629, -w^2 + 3*w + 6]', '[629, 629, -w^2 - 3*w + 3]', '[629, 629, -2*w^3 + 11*w + 1]', '[631, 631, 3*w^3 - w^2 - 17*w]', '[631, 631, w^3 + w^2 - 5*w - 10]', '[637, 637, -2*w^3 + 3*w^2 + 11*w - 5]', '[643, 643, -3*w^3 + 2*w^2 + 14*w - 1]', '[647, 647, -2*w^3 + 13*w]', '[653, 653, -3*w^3 + 2*w^2 + 17*w + 2]', '[657, 219, w^3 - 3*w^2 - 2*w + 5]', '[657, 219, -2*w^3 - 2*w^2 + 11*w + 12]', '[661, 661, -3*w^3 + w^2 + 13*w + 9]', '[661, 661, -2*w^3 + 2*w^2 + 13*w + 2]', '[667, 667, 2*w^3 - 2*w^2 - 11*w - 1]', '[673, 673, -4*w^3 + w^2 + 22*w + 4]', '[677, 677, 2*w^3 - 3*w^2 - 8*w - 2]', '[677, 677, 3*w^3 - w^2 - 18*w - 8]', '[683, 683, -w^3 + 2*w^2 + 6*w - 8]', '[683, 683, -w^3 - 2*w^2 + 5*w + 8]', '[688, 86, 2*w^2 + 2*w - 6]', '[688, 86, 2*w^3 - 2*w^2 - 10*w - 2]', '[689, 689, 2*w^3 - 15*w + 1]', '[703, 703, 2*w^3 - 3*w^2 - 15*w - 1]', '[703, 703, 3*w^2 + 5*w - 4]', '[703, 703, -4*w - 7]', '[703, 703, 3*w^3 - 14*w - 1]', '[707, 707, -2*w^3 + w^2 + 7*w + 1]', '[707, 707, 3*w^3 - 3*w^2 - 14*w]', '[709, 709, 3*w^3 - w^2 - 19*w - 7]', '[709, 709, 2*w^3 - 12*w - 1]', '[711, 237, -w^3 - 2*w^2 + 6*w + 10]', '[711, 237, 2*w^3 - 4*w^2 - 6*w + 5]', '[711, 237, -w^3 + w^2 + 3*w - 8]', '[711, 237, -2*w^3 + w^2 + 12*w - 5]', '[713, 713, w^3 - w^2 - 5*w - 5]', '[713, 713, 3*w^3 - 2*w^2 - 15*w - 4]', '[719, 719, w^3 - w^2 - 4*w - 5]', '[719, 719, 2*w^2 - 4*w - 7]', '[729, 9, 3*w^3 - 15*w - 6]', '[729, 9, 3*w^3 - 3*w^2 - 12*w]', '[729, 27, -w^3 - 2*w^2 + 7*w + 9]', '[729, 27, 2*w^3 - 3*w^2 - 10*w + 5]', '[731, 731, w^2 - 2*w + 3]', '[731, 731, -3*w^3 + w^2 + 14*w]', '[733, 733, -2*w^3 + 3*w^2 + 10*w - 6]', '[743, 743, 2*w^3 - 2*w^2 - 14*w - 1]', '[743, 743, 2*w^3 - 11*w]', '[747, 249, -w^3 + 2*w^2 + 3*w - 7]', '[747, 249, 2*w^3 + w^2 - 15*w - 17]', '[752, 94, -2*w^3 + 2*w^2 + 10*w - 8]', '[757, 757, -w^3 + 2*w^2 + w - 4]', '[763, 763, -3*w^2 + 2*w + 1]', '[769, 769, w^3 + w^2 - 4*w - 7]', '[769, 769, -w^3 + 2*w^2 + 2*w - 5]', '[784, 98, 2*w^3 - 14*w - 2]', '[787, 787, 3*w^3 - w^2 - 15*w - 5]', '[791, 791, -3*w^3 + 3*w^2 + 15*w - 1]', '[793, 793, 3*w^3 - w^2 - 15*w - 3]', '[797, 797, -4*w^3 + 3*w^2 + 19*w - 6]', '[797, 797, -3*w^3 + 2*w^2 + 14*w]', '[799, 799, -5*w^3 + 4*w^2 + 27*w - 3]', '[811, 811, -w^2 - 3]', '[811, 811, -w^3 + w^2 + 8*w - 4]', '[817, 817, -w^3 + 4*w - 4]', '[817, 817, 4*w^3 - 17*w]', '[819, 273, 3*w^3 - w^2 - 17*w + 1]', '[819, 273, -3*w^3 + 2*w^2 + 14*w + 1]', '[821, 821, 2*w^3 - 2*w^2 - 10*w - 3]', '[821, 821, -3*w^3 + w^2 + 12*w + 8]', '[823, 823, -w^3 + w^2 + 2*w - 4]', '[829, 829, w^3 - 7*w + 4]', '[829, 829, 3*w^3 - 19*w - 4]', '[833, 833, w^3 - 2*w^2 - 3*w - 3]', '[839, 839, w^2 - w - 9]', '[841, 841, -2*w^3 + 11*w + 11]', '[848, 106, 2*w^3 - 12*w]', '[851, 851, w^3 - 9*w - 4]', '[851, 851, w^3 + 2*w^2 - 6*w - 9]', '[851, 851, 4*w^3 - 21*w - 13]', '[851, 851, w^3 - 6*w - 8]', '[853, 853, 3*w^3 - w^2 - 15*w - 4]', '[863, 863, w^3 + w^2 - 8*w - 13]', '[863, 863, w^2 - 3*w - 7]', '[863, 863, -w^3 + w^2 + 4*w - 7]', '[863, 863, -w^2 + w - 3]', '[871, 871, -2*w^3 + 2*w^2 + 13*w - 5]', '[877, 877, -2*w^3 + 3*w^2 + 6*w - 4]', '[893, 893, 6*w^3 - 5*w^2 - 34*w + 4]', '[899, 899, w^2 - 3*w - 9]', '[899, 899, 2*w^3 - w^2 - 10*w + 5]', '[901, 901, 3*w^3 - 4*w^2 - 14*w + 5]', '[909, 303, -w^2 + 4*w - 5]', '[909, 303, w^3 + w^2 - 7*w - 12]', '[909, 303, -w^3 + w^2 + w + 3]', '[909, 303, -2*w^3 - 2*w^2 + 8*w + 9]', '[919, 919, 2*w^3 - 14*w - 7]', '[929, 929, 2*w^3 + w^2 - 13*w - 6]', '[931, 931, -3*w^3 + 3*w^2 + 14*w - 7]', '[937, 937, -w^3 + 3*w^2 + 7*w - 4]', '[937, 937, -3*w^3 + 4*w^2 + 16*w - 5]', '[941, 941, -4*w^3 + w^2 + 24*w + 11]', '[941, 941, w^2 + 2*w - 5]', '[947, 947, w^3 - 9*w - 1]', '[949, 949, 2*w^3 + w^2 - 14*w - 5]', '[953, 953, 4*w^3 - w^2 - 21*w - 9]', '[961, 31, -2*w^3 + 2*w^2 + 11*w + 2]', '[961, 31, 3*w^3 - 2*w^2 - 16*w - 3]', '[961, 961, -2*w^3 + 2*w^2 + 8*w - 5]', '[961, 961, w^3 - w^2 - 6*w + 7]', '[967, 967, 4*w^3 - 21*w - 9]', '[971, 971, 3*w^3 - w^2 - 18*w - 9]', '[971, 971, -w^3 + 2*w^2 + 3*w - 8]', '[976, 122, 2*w^3 - 2*w^2 - 14*w - 4]', '[981, 327, 2*w^3 - 5*w^2 - 5*w + 3]', '[981, 327, -w^3 - 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4]', '[1799, 1799, 3*w^3 - 4*w^2 - 15*w + 2]', '[1801, 1801, 3*w^2 - 3*w - 8]', '[1801, 1801, -w^3 + 7*w - 5]', '[1801, 1801, w^3 + 3*w^2 - 6*w - 15]', '[1801, 1801, -w^2 + w - 4]', '[1808, 226, 4*w^3 - 2*w^2 - 20*w - 2]', '[1811, 1811, 2*w^2 - 3*w - 12]', '[1811, 1811, 3*w^3 - 16*w - 3]', '[1813, 1813, -2*w^3 + 11*w + 12]', '[1813, 1813, w^3 - 3*w^2 - 4*w + 6]', '[1813, 1813, -3*w^3 + w^2 + 19*w + 4]', '[1813, 1813, -4*w^3 + 2*w^2 + 20*w + 3]', '[1817, 1817, -3*w^3 + w^2 + 19*w + 3]', '[1817, 1817, 4*w^3 - 2*w^2 - 19*w - 7]', '[1823, 1823, -2*w^3 + w^2 + 15*w + 6]', '[1827, 609, 2*w^3 + w^2 - 15*w - 2]', '[1827, 609, w^3 + 2*w^2 - 7*w - 3]', '[1841, 1841, 3*w^3 - 3*w^2 - 12*w + 5]', '[1847, 1847, -3*w^3 + 3*w^2 + 16*w]', '[1847, 1847, 3*w^3 - 2*w^2 - 19*w]', '[1849, 43, -3*w^3 + 13*w + 3]', '[1849, 43, -w^3 - 3*w^2 + 9*w + 7]', '[1849, 1849, -2*w^3 + 2*w^2 + 7*w - 5]', '[1849, 1849, 4*w^3 + w^2 - 26*w - 15]', '[1853, 1853, 2*w^3 - 2*w^2 - 4*w + 3]', '[1861, 1861, 4*w^3 - 2*w^2 - 24*w - 1]', '[1863, 69, -3*w^2 + 3*w + 9]', '[1863, 207, -4*w^3 + w^2 + 21*w + 1]', '[1863, 207, w^2 + 2*w - 7]', '[1867, 1867, -w^3 + 3*w^2 + 4*w - 7]', '[1867, 1867, 2*w^3 + 2*w^2 - 11*w - 16]', '[1872, 78, -4*w^3 + 2*w^2 + 24*w + 2]', '[1872, 78, 4*w^3 - 2*w^2 - 22*w - 6]', '[1879, 1879, 3*w^3 + 2*w^2 - 22*w - 13]', '[1883, 1883, -2*w^3 + 3*w^2 + 3*w + 3]', '[1883, 1883, -3*w^3 + 4*w^2 + 12*w + 1]', '[1889, 1889, -w^3 + w^2 + 4*w - 8]', '[1891, 1891, -3*w^3 - 3*w^2 + 10*w + 5]', '[1891, 1891, -3*w^2 - w + 9]', '[1904, 238, -2*w^3 + 8*w + 8]', '[1907, 1907, w^3 - 9*w + 7]', '[1909, 1909, -5*w^3 + w^2 + 29*w + 14]', '[1913, 1913, -w^3 + 2*w^2 - 5]', '[1919, 1919, -w^3 - w^2 + w - 5]', '[1919, 1919, 2*w^3 - 3*w^2 - 12*w + 9]', '[1921, 1921, 2*w^3 - 2*w^2 - 13*w + 7]', '[1931, 1931, 2*w^3 + w^2 - 13*w - 16]', '[1933, 1933, -2*w^3 + w^2 + 10*w - 6]', '[1933, 1933, w^3 - 3*w^2 - 5*w + 6]', '[1937, 1937, -w^3 + 4*w^2 + 4*w - 16]', '[1943, 1943, -5*w^3 - w^2 + 19*w - 3]', '[1949, 1949, 2*w^3 + w^2 - 9*w - 10]', '[1949, 1949, -4*w^3 + 21*w + 6]', '[1951, 1951, 2*w^3 - 3*w^2 - 15*w + 5]', '[1951, 1951, 3*w^2 - 11]', '[1953, 651, 2*w^3 - 3*w^2 - 13*w + 7]', '[1953, 651, -w^3 + 3*w^2 + 5*w - 7]', '[1953, 651, -w^3 + w^2 + w + 6]', '[1953, 651, -5*w^3 + 3*w^2 + 25*w - 2]', '[1961, 1961, -3*w^3 + 3*w^2 + 17*w]', '[1961, 1961, w^3 + w^2 - 3*w - 7]', '[1961, 1961, -4*w^3 + 2*w^2 + 23*w + 6]', '[1961, 1961, 2*w^3 - 5*w^2 - 5*w + 10]', '[1967, 1967, 5*w^3 - 3*w^2 - 22*w + 6]', '[1967, 1967, 3*w^2 - 5*w + 2]', '[1973, 1973, w^2 + 3*w - 5]', '[1973, 1973, -2*w^3 + 3*w^2 + 14*w + 1]', '[1979, 1979, 5*w^3 - 27*w - 14]', '[1987, 1987, 3*w^3 - w^2 - 13*w - 1]', '[1987, 1987, 3*w^3 - 2*w^2 - 12*w]', '[1989, 663, w^2 + 2*w + 5]', '[1989, 663, w^3 - w^2 - 6*w + 8]', '[1997, 1997, -w^3 - w^2 + 7*w + 13]', '[1997, 1997, -4*w^3 + 5*w^2 + 22*w - 7]', '[1999, 1999, 2*w^2 - 4*w - 9]', '[2003, 2003, w^2 - 4*w - 8]', '[2003, 2003, -w^3 - 2*w^2 + 12*w + 3]', '[2007, 669, w^3 - w^2 - 7*w + 9]', '[2007, 669, -2*w^3 - 2*w^2 + 14*w + 21]', '[2011, 2011, w^3 - 10*w - 4]', '[2021, 2021, -4*w^3 + 3*w^2 + 22*w + 1]', '[2021, 2021, 4*w^3 - 5*w^2 - 19*w + 8]', '[2023, 2023, 3*w^3 - 2*w^2 - 12*w - 3]', '[2039, 2039, 6*w^3 - 3*w^2 - 31*w - 9]', '[2041, 2041, w^3 + w^2 - 6*w - 13]', '[2043, 681, -3*w^3 + w^2 + 20*w - 1]', '[2043, 681, -4*w^3 + 2*w^2 + 25*w + 6]', '[2043, 681, -4*w^3 + w^2 + 24*w + 13]', '[2043, 681, -4*w^3 + 5*w^2 + 15*w + 2]', '[2051, 2051, -w^3 + 2*w^2 + w + 5]', '[2063, 2063, 2*w^3 + w^2 - 12*w - 4]', '[2069, 2069, 3*w^3 - 3*w^2 - 15*w - 1]', '[2071, 2071, -2*w^3 - w^2 + 3*w - 3]', '[2077, 2077, -5*w^2 - 7*w + 4]', '[2077, 2077, -4*w^3 + w^2 + 20*w - 2]', '[2081, 2081, 3*w^3 - 20*w - 5]', '[2087, 2087, 4*w^3 - 3*w^2 - 20*w - 3]', '[2087, 2087, w - 7]', '[2093, 2093, -2*w^2 - w + 10]', '[2107, 2107, -4*w^3 + w^2 + 22*w + 2]', '[2107, 2107, 2*w^3 - 4*w^2 - 5*w + 7]', '[2113, 2113, 3*w^3 + w^2 - 16*w - 18]', '[2117, 2117, -2*w^2 - 3*w + 6]', '[2119, 2119, 8*w^3 - 7*w^2 - 38*w + 1]', '[2128, 266, 2*w^3 - 4*w^2 - 10*w + 12]', '[2129, 2129, -w - 7]', '[2137, 2137, -w^3 + 3*w^2 - 7]', '[2137, 2137, w^3 + 2*w^2 - 5*w - 13]', '[2141, 2141, w^3 + 2*w^2 - 8*w - 3]', '[2141, 2141, 3*w^3 - 2*w^2 - 18*w - 5]', '[2147, 2147, -3*w^3 + 4*w^2 + 18*w - 9]', '[2149, 2149, 4*w^3 - 6*w^2 - 17*w + 12]', '[2149, 2149, -2*w^3 - w^2 + 13*w + 4]', '[2151, 717, -w^3 - w^2 + 10*w + 15]', '[2151, 717, 2*w^3 - 3*w^2 - 7*w + 7]', '[2151, 717, -7*w^3 + 5*w^2 + 36*w - 4]', '[2151, 717, -7*w^3 + 2*w^2 + 37*w + 6]', '[2151, 717, -4*w^3 + 5*w^2 + 12*w + 2]', '[2151, 717, -4*w^3 - w^2 + 19*w + 12]', '[2151, 717, -6*w^3 + 7*w^2 + 23*w + 2]', '[2151, 717, -6*w^3 + w^2 + 34*w + 17]', '[2153, 2153, 2*w^3 - w^2 - 16*w - 8]', '[2153, 2153, 2*w^3 + 2*w^2 - 16*w - 15]', '[2171, 2171, 7*w^3 - 4*w^2 - 38*w - 3]', '[2177, 2177, -4*w^3 + w^2 + 20*w + 4]', '[2177, 2177, w^3 - 6*w + 5]', '[2179, 2179, 3*w^2 - w - 12]', '[2191, 2191, 2*w^3 - 14*w + 5]', '[2191, 2191, w^3 - 2*w^2 - 7*w + 8]', '[2197, 13, 5*w^3 - 3*w^2 - 23*w + 4]', '[2197, 2197, -2*w^3 - w^2 + 10*w + 13]', '[2209, 2209, -5*w^3 + 31*w + 12]', '[2223, 741, -2*w^3 + 2*w^2 + 9*w - 10]', '[2223, 741, 4*w^3 - 2*w^2 - 21*w - 8]', '[2237, 2237, 2*w^3 - w^2 - 7*w - 9]', '[2249, 2249, w^2 + 2*w - 8]', '[2249, 2249, -w^3 + 4*w^2 + w - 10]', '[2251, 2251, -2*w^3 + 2*w^2 + 7*w - 11]', '[2251, 2251, 5*w^3 - 4*w^2 - 23*w - 5]', '[2251, 2251, 3*w^2 - w - 6]', '[2251, 2251, -3*w^3 + 2*w^2 + 12*w + 1]', '[2257, 2257, -4*w^3 + w^2 + 20*w + 9]', '[2257, 2257, 3*w^3 - 2*w^2 - 12*w - 2]', '[2257, 2257, 2*w^2 - 3*w - 16]', '[2257, 2257, w^3 - 10*w - 3]', '[2261, 2261, -3*w^3 + 13*w + 4]', '[2263, 2263, -w^3 - w^2 + 4*w + 10]', '[2263, 2263, -3*w^3 + 13*w + 6]', '[2267, 2267, 3*w^2 - 2*w - 7]', '[2267, 2267, -w^3 + 3*w^2 + 9*w - 6]', '[2267, 2267, -w^3 + 2*w^2 + 2*w - 12]', '[2267, 2267, w^3 + 2*w^2 - 9*w - 14]', '[2269, 2269, w^3 - 10*w - 2]', '[2273, 2273, -2*w^3 + 3*w^2 + 8*w - 10]', '[2279, 2279, 3*w^3 - 3*w^2 - 20*w + 1]', '[2279, 2279, -2*w^3 + 4*w^2 + 8*w - 5]', '[2291, 2291, w^3 - 2*w^2 - 8*w + 6]', '[2291, 2291, -5*w^3 + 3*w^2 + 23*w - 8]', '[2293, 2293, 4*w^3 - 26*w - 15]', '[2297, 2297, -6*w^3 + 4*w^2 + 34*w + 1]', '[2303, 2303, -7*w^3 + 4*w^2 + 40*w - 2]', '[2304, 12, 4*w^3 - 20*w - 8]', '[2304, 12, 4*w^3 - 4*w^2 - 16*w]', '[2309, 2309, 5*w^3 - 2*w^2 - 30*w - 10]', '[2309, 2309, -w^3 + 4*w^2 + 2*w - 13]', '[2311, 2311, -w^3 + 2*w^2 + 2*w - 8]', '[2313, 771, -w^3 - w^2 + 9*w - 4]', '[2313, 771, -w^3 + 2*w - 7]', '[2323, 2323, 2*w^3 + 2*w^2 - 13*w - 8]', '[2323, 2323, -3*w^3 - w^2 + 21*w + 9]', '[2327, 2327, -4*w^3 + 6*w^2 + 15*w - 9]', '[2331, 777, w^3 - 11*w - 11]', '[2331, 777, w^2 + 5*w + 8]', '[2331, 777, 2*w^3 - 3*w^2 - 16*w - 4]', '[2331, 777, -2*w^3 + 4*w^2 + 18*w + 1]', '[2331, 777, -5*w^2 - 7*w + 5]', '[2331, 777, w^3 + 3*w^2 + w - 5]', '[2331, 777, 3*w^3 + w^2 - 14*w - 4]', '[2331, 777, -4*w^3 + 17*w + 1]', '[2333, 2333, w^3 + w^2 - 8*w - 14]', '[2341, 2341, w^2 - 2*w - 11]', '[2349, 87, 3*w^3 - 15*w]', '[2349, 261, -3*w^3 + w^2 + 13*w + 2]', '[2349, 261, -w^3 + 4*w^2 + w - 6]', '[2351, 2351, -w^3 + w^2 + 5*w - 8]', '[2351, 2351, -6*w^3 + 2*w^2 + 33*w + 4]', '[2353, 2353, -4*w^3 + 4*w^2 + 21*w - 13]', '[2359, 2359, 3*w^3 - 4*w^2 - 13*w]', '[2367, 789, -2*w^3 + 16*w - 1]', '[2367, 789, -3*w^3 + 2*w^2 + 20*w + 4]', '[2377, 2377, 3*w^2 + w - 6]', '[2381, 2381, 3*w^2 + w - 8]', '[2383, 2383, w^3 + w^2 - 10*w - 11]', '[2384, 298, 2*w^2 - 4*w - 16]', '[2389, 2389, -w^3 - 2*w^2 + 10*w + 1]', '[2393, 2393, -w^3 + 3*w^2 + 6*w - 12]', '[2393, 2393, 5*w^3 - 26*w - 8]', '[2399, 2399, -5*w^3 + 3*w^2 + 29*w + 4]', '[2401, 7, 7]', '[2401, 2401, -4*w^3 + 4*w^2 + 23*w - 2]', '[2407, 2407, -2*w^3 + w^2 + 7*w - 9]', '[2411, 2411, 4*w^3 + w^2 - 21*w - 10]', '[2417, 2417, 3*w^3 - 13*w - 5]', '[2421, 807, -2*w^3 + 4*w^2 + 3*w + 4]', '[2421, 807, -2*w^3 + 13*w + 13]', '[2421, 807, -4*w^3 + 20*w + 11]', '[2421, 807, -5*w^3 + 7*w^2 + 15*w + 1]', '[2429, 2429, -2*w^3 + 5*w^2 + 2*w + 2]', '[2429, 2429, -5*w^3 + 4*w^2 + 19*w - 4]', '[2441, 2441, 2*w^3 - 15*w - 7]', '[2447, 2447, 3*w^3 - 2*w^2 - 11*w]', '[2448, 102, -4*w^3 + 2*w^2 + 18*w + 8]', '[2448, 102, -2*w^2 - 2*w + 8]', '[2449, 2449, -3*w^3 + w^2 + 13*w + 4]', '[2449, 2449, 2*w^3 - 2*w^2 - 15*w - 1]', '[2449, 2449, -w^2 - 2*w + 9]', '[2449, 2449, -4*w^3 + 4*w^2 + 19*w - 10]', '[2459, 2459, -3*w^3 + 2*w^2 + 11*w + 3]', '[2459, 2459, 4*w^3 - 22*w - 7]', '[2471, 2471, -w^3 + 2*w + 6]', '[2471, 2471, -5*w^3 + 5*w^2 + 21*w]', '[2473, 2473, 3*w^3 - 16*w - 2]', '[2477, 2477, -4*w^3 + 3*w^2 + 18*w - 1]', '[2479, 2479, 3*w^2 - 5*w - 11]', '[2479, 2479, 3*w^3 - w^2 - 12*w - 5]', '[2479, 2479, 4*w - 5]', '[2479, 2479, 4*w^3 - 3*w^2 - 21*w - 2]', '[2483, 2483, -2*w^3 + 7*w^2 + w - 14]', '[2483, 2483, -2*w^3 + 5*w^2 + w - 6]', '[2491, 2491, -2*w^3 - 3*w^2 + 12*w + 18]', '[2503, 2503, -2*w^3 + 8*w - 5]', '[2507, 2507, 3*w^3 - 2*w^2 - 10*w - 3]', '[2511, 93, 3*w^3 - 18*w - 3]', '[2511, 93, 3*w^2 - 6]', '[2511, 279, -5*w^3 + 3*w^2 + 25*w - 1]', '[2511, 279, -4*w^3 + 2*w^2 + 19*w + 6]', '[2511, 279, -2*w^2 - 4*w + 5]', '[2511, 279, -2*w^3 + 4*w^2 + 8*w - 9]', '[2512, 314, 2*w^3 + 2*w^2 - 10*w - 14]', '[2513, 2513, 3*w^3 - w^2 - 13*w - 3]', '[2527, 2527, -w^3 - 2*w^2 + 8*w + 2]', '[2529, 843, -2*w^3 + 3*w^2 + 13*w + 1]', '[2529, 843, -5*w^3 + 8*w^2 + 17*w - 3]', '[2529, 843, -4*w^3 + 3*w^2 + 26*w - 5]', '[2529, 843, -3*w^3 + 5*w^2 + 23*w - 2]', '[2531, 2531, 3*w^2 + w - 7]', '[2531, 2531, 2*w^3 - 15*w - 2]', '[2531, 2531, 2*w^3 + w^2 - 16*w - 10]', '[2531, 2531, w^3 + w^2 - 2*w - 6]', '[2533, 2533, -5*w^3 + 3*w^2 + 30*w + 3]', '[2539, 2539, 2*w^3 - w^2 - 15*w - 5]', '[2539, 2539, -5*w^3 + 2*w^2 + 26*w - 4]', '[2543, 2543, w^3 + 2*w^2 - 9*w - 2]', '[2549, 2549, -4*w^3 + 25*w + 6]', '[2549, 2549, -2*w^3 + 3*w^2 + 8*w - 11]', '[2551, 2551, w^3 - 7*w - 10]', '[2551, 2551, 2*w^3 + 2*w^2 - 9*w - 12]', '[2561, 2561, w^3 + 4*w^2 - 16*w - 5]', '[2561, 2561, 5*w^3 - w^2 - 28*w - 6]', '[2569, 2569, -4*w^3 + w^2 + 23*w - 6]', '[2573, 2573, 3*w^3 - 2*w^2 - 20*w - 8]', '[2573, 2573, 2*w^2 - 2*w - 15]', '[2576, 322, -2*w^3 + 4*w^2 + 4*w - 6]', '[2591, 2591, -3*w^3 + 3*w^2 + 18*w + 1]', '[2593, 2593, -4*w^3 + w^2 + 21*w]', '[2597, 2597, 2*w^3 - 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8]', '[5117, 5117, 4*w^3 - 2*w^2 - 16*w - 7]', '[5117, 5117, w^3 - w^2 - 10*w - 11]', '[5123, 5123, -w^3 - 2*w^2 + 8*w + 19]', '[5129, 5129, 6*w^3 - 37*w - 16]', '[5131, 5131, 5*w^3 - 5*w^2 - 22*w + 8]', '[5139, 1713, -5*w^3 + w^2 + 32*w + 15]', '[5139, 1713, -2*w^3 - w^2 + 17*w + 3]', '[5139, 1713, 2*w^3 - 5*w^2 - 12*w + 13]', '[5139, 1713, 6*w^3 - 7*w^2 - 29*w + 10]', '[5161, 5161, -2*w^3 + 5*w^2 + 2*w - 8]', '[5161, 5161, 6*w^3 + w^2 - 41*w - 9]', '[5168, 646, -4*w^3 + 2*w^2 + 20*w - 8]', '[5171, 5171, 3*w^3 - 13*w - 12]', '[5177, 5177, -4*w^3 + 2*w^2 + 26*w + 7]', '[5177, 5177, 3*w^3 - 5*w^2 - 13*w + 19]', '[5179, 5179, 6*w^3 + w^2 - 34*w - 18]', '[5179, 5179, w^3 - 5]', '[5189, 5189, 5*w^3 - w^2 - 23*w - 1]', '[5189, 5189, 6*w^3 - w^2 - 32*w - 12]', '[5191, 5191, -5*w^3 + 5*w^2 + 27*w - 3]', '[5197, 5197, 6*w^3 + w^2 - 31*w - 17]', '[5201, 5201, -4*w^3 + 19*w - 1]', '[5201, 5201, -2*w^3 + w^2 + 17*w - 2]', '[5213, 5213, -3*w^3 + 5*w^2 + 13*w - 9]', '[5219, 5219, -8*w^3 + 3*w^2 + 48*w + 1]', '[5219, 5219, w^3 - 3*w^2 - w + 11]', '[5221, 5221, w^3 + 4*w^2 - 13*w - 16]', '[5221, 5221, w^2 - 12]', '[5227, 5227, 3*w^3 - 3*w^2 - 16*w - 4]', '[5229, 1743, -w^3 - 4*w^2 + 4*w + 15]', '[5229, 1743, -w^3 + 5*w^2 + 9*w - 13]', '[5233, 5233, -5*w^3 + 3*w^2 + 22*w + 9]', '[5239, 5239, 5*w^3 + w^2 - 28*w - 14]', '[5239, 5239, -3*w^2 - w + 14]', '[5249, 5249, -7*w^3 + 7*w^2 + 43*w - 5]', '[5264, 658, 4*w^3 - 4*w^2 - 24*w + 10]', '[5287, 5287, w^3 - 2*w^2 - 3*w + 14]', '[5287, 5287, -5*w^3 + 3*w^2 + 24*w]', '[5293, 5293, -w^3 + 4*w^2 + 3*w - 7]', '[5293, 5293, 3*w^3 - 3*w^2 - 21*w + 1]', '[5299, 5299, 3*w^3 - 7*w^2 - 8*w + 5]', '[5301, 1767, -4*w^3 + 26*w + 11]', '[5301, 1767, 5*w^3 - 3*w^2 - 28*w - 5]', '[5301, 1767, 5*w^3 - 5*w^2 - 24*w + 1]', '[5301, 1767, -w^3 - 2*w^2 + 10*w + 15]', '[5303, 5303, -4*w^3 + w^2 + 18*w + 17]', '[5303, 5303, 4*w^3 - 4*w^2 - 13*w - 2]', '[5311, 5311, w^3 + 5*w^2 - 12*w - 20]', '[5321, 5321, -6*w^3 + 4*w^2 + 33*w + 2]', '[5321, 5321, -7*w^3 + 6*w^2 + 33*w - 5]', '[5328, 222, -6*w^3 - 2*w^2 + 28*w + 14]', '[5328, 222, -4*w^3 + 2*w^2 + 18*w + 2]', '[5328, 222, 2*w^2 - 2*w + 4]', '[5328, 222, 2*w^2 + 8*w + 10]', '[5328, 222, -6*w^3 - 4*w^2 + 32*w + 28]', '[5328, 222, -4*w^2 + 4*w + 10]', '[5328, 222, -4*w^3 + 2*w^2 + 28*w + 12]', '[5328, 222, -2*w^3 + 16*w + 2]', '[5329, 5329, -5*w^3 + 5*w^2 + 25*w - 2]', '[5337, 1779, -5*w^3 + 34*w + 22]', '[5337, 1779, -4*w^2 + 10*w + 7]', '[5339, 5339, 10*w^3 - 3*w^2 - 46*w + 9]', '[5339, 5339, 5*w^3 - 2*w^2 - 21*w + 3]', '[5341, 5341, -w^3 + 3*w^2 + w + 4]', '[5347, 5347, w^3 - 2*w^2 - 2*w - 6]', '[5351, 5351, 4*w^3 - 2*w^2 - 21*w - 15]', '[5353, 5353, w^3 - 2*w^2 - 5*w - 6]', '[5353, 5353, -w^3 + 4*w^2 + 5*w - 6]', '[5363, 5363, -5*w^3 + 2*w^2 + 25*w + 7]', '[5363, 5363, -w^3 - 4*w^2 + 2*w + 8]', '[5363, 5363, -4*w^3 + 22*w + 5]', '[5363, 5363, -2*w^3 - w^2 + 7*w + 9]', '[5383, 5383, w^2 + 6]', '[5383, 5383, 3*w^3 - 6*w^2 - 10*w + 6]', '[5392, 674, -4*w^3 + 2*w^2 + 18*w + 4]', '[5393, 5393, 3*w^3 - 6*w^2 - 6*w + 7]', '[5399, 5399, 6*w^3 - 32*w - 17]', '[5399, 5399, -3*w^3 + 2*w^2 + 16*w - 9]', '[5409, 1803, -w^3 - w^2 + 12*w + 2]', '[5409, 1803, -3*w^3 + 2*w^2 + 23*w + 10]', '[5413, 5413, 5*w^3 - 4*w^2 - 31*w]', '[5417, 5417, 5*w^3 - 24*w - 7]', '[5419, 5419, -2*w^3 + 3*w^2 + 17*w]', '[5427, 201, -3*w^3 + 12*w - 6]', '[5427, 603, 2*w^3 - w^2 - 5*w + 6]', '[5427, 603, 6*w^3 - 2*w^2 - 25*w + 8]', '[5431, 5431, 2*w^3 + 2*w^2 - 11*w - 4]', '[5437, 5437, w^3 - 8*w - 12]', '[5441, 5441, 2*w^3 - w^2 - 16*w - 5]', '[5443, 5443, 3*w^2 - 4*w - 16]', '[5443, 5443, 3*w^2 - 5*w - 13]', '[5449, 5449, -3*w^3 + 4*w^2 + 19*w]', '[5471, 5471, -3*w^3 + 3*w^2 + 12*w - 8]', '[5471, 5471, w^3 + 4*w^2 - 5*w - 17]', '[5473, 5473, 8*w^3 - 8*w^2 - 31*w - 9]', '[5473, 5473, -2*w^3 + 3*w^2 + 6*w - 8]', '[5479, 5479, 8*w^3 - 5*w^2 - 40*w - 6]', '[5479, 5479, 4*w^3 - w^2 - 18*w - 8]', '[5488, 14, 2*w^3 + 2*w^2 - 10*w - 16]', '[5488, 686, -2*w^3 - 4*w^2 + 16*w + 18]', '[5491, 5491, 3*w + 10]', '[5497, 5497, 5*w^3 - 2*w^2 - 28*w - 11]', '[5497, 5497, w^3 + 6*w^2 - 15*w - 22]', '[5497, 5497, w^3 + 5*w^2 - 12*w - 14]', '[5497, 5497, -2*w^3 + 5*w^2 + 9*w - 17]', '[5499, 1833, 12*w^3 - 8*w^2 - 67*w + 5]', '[5499, 1833, -9*w^3 + 5*w^2 + 50*w + 4]', '[5501, 5501, 2*w^3 + 2*w^2 - 12*w - 5]', '[5501, 5501, -w^3 + 4*w^2 + 4*w - 13]', '[5509, 5509, -4*w^3 + 4*w^2 + 19*w + 2]', '[5513, 5513, w^2 - w - 12]', '[5513, 5513, -4*w^3 + 2*w^2 + 18*w + 3]', '[5513, 5513, -9*w^3 + 5*w^2 + 48*w + 6]', '[5513, 5513, -w^3 + 4*w^2 + 3*w - 12]', '[5517, 1839, -w^2 + 5*w + 16]', '[5517, 1839, 2*w^3 - w^2 - 12*w + 8]', '[5517, 1839, 3*w^3 - 8*w^2 + 2*w + 2]', '[5517, 1839, -w^3 + w^2 + 12*w + 4]', '[5521, 5521, 2*w^2 - w - 16]', '[5521, 5521, w^3 - 2*w^2 + 2*w - 7]', '[5527, 5527, -3*w^3 + w^2 + 10*w - 6]', '[5531, 5531, -6*w^3 + 4*w^2 + 31*w + 4]', '[5531, 5531, -2*w^3 - 3*w^2 + 10*w + 18]', '[5537, 5537, 4*w^3 - 6*w^2 - 18*w + 13]', '[5539, 5539, -5*w^3 + 3*w^2 + 24*w + 3]', '[5539, 5539, -w^3 + 5*w^2 + 10*w + 1]', '[5549, 5549, w^2 - w + 6]', '[5549, 5549, -6*w^3 + 5*w^2 + 30*w]', '[5551, 5551, 4*w^3 - 5*w^2 - 30*w - 4]', '[5552, 694, 4*w^3 - 6*w^2 - 22*w + 4]', '[5552, 694, 2*w^3 - 2*w^2 - 4*w - 6]', '[5553, 1851, -7*w^3 - 4*w^2 + 40*w + 36]', '[5553, 1851, -4*w^2 + 4*w + 13]', '[5553, 1851, -4*w^2 - w + 13]', '[5553, 1851, 4*w^3 - 6*w^2 - 17*w + 8]', '[5557, 5557, -w^3 + 4*w - 7]', '[5557, 5557, -3*w^3 - 3*w^2 + 23*w + 13]', '[5561, 5561, -5*w^3 + 4*w^2 + 22*w - 2]', '[5563, 5563, -6*w^3 + 5*w^2 + 29*w - 12]', '[5563, 5563, 5*w^3 - w^2 - 25*w - 6]', '[5567, 5567, 5*w^3 - 2*w^2 - 25*w - 4]', '[5569, 5569, -4*w^3 + 3*w^2 + 16*w]', '[5569, 5569, -4*w^3 + 6*w^2 + 22*w - 7]', '[5579, 5579, 5*w^3 - 6*w^2 - 23*w + 3]', '[5579, 5579, 7*w^3 - 8*w^2 - 37*w + 10]', '[5591, 5591, -2*w^3 + 2*w^2 + 10*w - 11]', '[5591, 5591, -4*w^3 + 6*w^2 + 13*w - 7]', '[5591, 5591, -4*w^3 + 3*w^2 + 17*w - 12]', '[5591, 5591, -6*w^3 + 4*w^2 + 27*w - 8]', '[5593, 5593, w^3 + 2*w^2 - 4*w - 13]', '[5611, 5611, 2*w^3 - w^2 - 5*w + 10]', '[5611, 5611, -8*w^3 + 5*w^2 + 46*w]', '[5623, 5623, -9*w^3 + 4*w^2 + 48*w + 10]', '[5625, 15, -5*w^3 + 25*w + 10]', '[5625, 15, -5*w^3 + 5*w^2 + 20*w]', '[5629, 5629, 5*w^3 - 2*w^2 - 24*w - 10]', '[5629, 5629, 5*w^3 - w^2 - 29*w - 4]', '[5639, 5639, 5*w^3 - 3*w^2 - 26*w - 7]', '[5641, 5641, -4*w^3 + 2*w^2 + 17*w]', '[5641, 5641, -4*w^3 + 3*w^2 + 16*w + 3]', '[5648, 706, 6*w^3 - 4*w^2 - 30*w - 6]', '[5648, 706, 2*w^3 - 12*w - 14]', '[5653, 5653, 4*w^3 - 2*w^2 - 23*w - 10]', '[5657, 5657, 4*w^3 - w^2 - 26*w - 10]', '[5657, 5657, 3*w^3 + 2*w^2 - 21*w - 10]', '[5659, 5659, 5*w^3 - 2*w^2 - 31*w - 13]', '[5661, 1887, 5*w^3 - 25*w - 14]', '[5661, 1887, w^3 + 4*w^2 - w - 12]', '[5661, 1887, 5*w^3 + 2*w^2 - 26*w - 15]', '[5661, 1887, 5*w^3 + 4*w^2 - 32*w - 27]', '[5661, 1887, 2*w^3 - 2*w^2 - 11*w - 9]', '[5661, 1887, 2*w^3 - 4*w^2 - 17*w - 3]', '[5661, 1887, -w^3 + w^2 - 11]', '[5661, 1887, 3*w^3 + w^2 - 22*w - 13]', '[5677, 5677, 2*w^3 + w^2 - 15*w + 5]', '[5677, 5677, -w^3 + w^2 - 3*w + 3]', '[5679, 1893, 2*w^3 - 3*w^2 - 7*w + 14]', '[5679, 1893, 6*w^3 - 7*w^2 - 26*w + 10]', '[5679, 1893, -8*w^3 + w^2 + 47*w + 24]', '[5679, 1893, -6*w^3 + 5*w^2 + 28*w + 4]', '[5681, 5681, -4*w^3 + w^2 + 26*w + 2]', '[5707, 5707, 2*w^3 - 3*w^2 - 5*w - 7]', '[5707, 5707, 5*w^3 - w^2 - 25*w - 12]', '[5711, 5711, -5*w^3 + 3*w^2 + 24*w + 1]', '[5711, 5711, 5*w^3 - 24*w - 3]', '[5713, 5713, w^3 - 6*w^2 - 12*w + 11]', '[5713, 5713, w^3 - 7*w + 7]', '[5719, 5719, 5*w^3 - w^2 - 28*w - 4]', '[5719, 5719, -4*w^3 + 4*w^2 + 17*w - 17]', '[5729, 5729, 5*w - 6]', '[5733, 1911, -2*w^2 + 5*w + 11]', '[5733, 1911, 3*w^3 - w^2 - 16*w - 14]', '[5737, 5737, 3*w^3 - 3*w^2 - 19*w - 4]', '[5737, 5737, 3*w^3 - w^2 - 13*w - 16]', '[5741, 5741, w^2 + 3*w - 9]', '[5741, 5741, 3*w^3 + 2*w^2 - 15*w - 17]', '[5741, 5741, -7*w^3 + 4*w^2 + 34*w - 5]', '[5741, 5741, 9*w^3 - 3*w^2 - 49*w - 10]', '[5743, 5743, -w^3 + 4*w^2 - w - 11]', '[5744, 718, -4*w^3 + 2*w^2 + 24*w + 10]', '[5747, 5747, -4*w^3 + 4*w^2 + 13*w + 1]', '[5747, 5747, 4*w^3 - 7*w^2 - 13*w - 5]', '[5761, 5761, 2*w^3 - 5*w^2 - 9*w + 5]', '[5767, 5767, 2*w^3 - 11*w - 14]', '[5767, 5767, -w^3 + 4*w^2 + 5*w - 12]', '[5776, 722, 2*w^3 - 16*w - 6]', '[5777, 5777, 3*w^3 + w^2 - 18*w - 6]', '[5779, 5779, -w^3 + 2*w^2 + w - 10]', '[5779, 5779, 4*w^3 + 2*w^2 - 21*w - 12]', '[5787, 1929, -2*w^3 - w^2 + 17*w - 6]', '[5787, 1929, -2*w^3 + w^2 + 8*w - 9]', '[5801, 5801, -5*w^3 + 3*w^2 + 24*w + 2]', '[5801, 5801, -3*w^3 + 4*w^2 + 11*w - 8]', '[5803, 5803, -w^3 - w^2 + 14*w - 5]', '[5803, 5803, 4*w^3 - 2*w^2 - 16*w + 7]', '[5809, 5809, -6*w^3 + 5*w^2 + 36*w - 4]', '[5809, 5809, 4*w^2 - 4*w - 11]', '[5809, 5809, -w^3 + 4*w^2 + 6*w - 10]', '[5809, 5809, -7*w^3 + 4*w^2 + 41*w + 3]', '[5813, 5813, 4*w^3 - 3*w^2 - 22*w - 4]', '[5821, 5821, -7*w^3 + 6*w^2 + 33*w - 3]', '[5823, 1941, -7*w^3 + 10*w^2 + 25*w - 9]', '[5823, 1941, -2*w^3 + 3*w^2 + 7*w - 11]', '[5831, 119, -5*w^3 + 2*w^2 + 25*w + 5]', '[5831, 5831, 2*w^3 + 3*w^2 - 17*w - 9]', '[5833, 5833, -w^3 + 2*w^2 + w - 13]', '[5833, 5833, 11*w^3 - 6*w^2 - 62*w]', '[5843, 5843, 2*w^3 - w^2 - 10*w - 11]', '[5851, 5851, 4*w^3 - w^2 - 17*w - 13]', '[5857, 5857, -4*w^3 + 2*w^2 + 25*w + 11]', '[5861, 5861, 4*w^3 + w^2 - 17*w - 8]', '[5861, 5861, -3*w^3 + 6*w^2 + 12*w - 20]', '[5861, 5861, w^3 + 2*w^2 - 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2*w^2 - 43*w - 12]', '[9711, 3237, 3*w^3 + 5*w^2 - 19*w - 32]', '[9711, 3237, w^3 - 6*w^2 - 5*w + 26]', '[9721, 9721, 7*w^3 + w^2 - 43*w - 20]', '[9721, 9721, -5*w^3 + 3*w^2 + 29*w - 11]', '[9729, 3243, 9*w^3 - 5*w^2 - 52*w - 7]', '[9729, 3243, 13*w^3 - 11*w^2 - 67*w + 21]', '[9731, 9731, -5*w^3 - w^2 + 33*w + 10]', '[9731, 9731, 9*w^3 - 4*w^2 - 50*w - 1]', '[9731, 9731, -8*w^3 + 6*w^2 + 38*w + 7]', '[9731, 9731, -2*w^3 + 3*w^2 + 18*w + 1]', '[9733, 9733, -3*w^3 - 4*w^2 + 15*w + 18]', '[9733, 9733, -5*w^3 + 6*w^2 + 21*w + 1]', '[9739, 9739, 5*w^3 - 2*w^2 - 29*w - 14]', '[9761, 9761, 4*w^3 - 23*w - 3]', '[9761, 9761, 7*w^3 - 7*w^2 - 38*w + 6]', '[9761, 9761, -3*w^3 + 6*w^2 + 19*w - 10]', '[9761, 9761, 8*w^3 - 2*w^2 - 48*w - 9]', '[9773, 9773, -3*w^3 + 2*w^2 + 10*w - 7]', '[9776, 1222, -6*w^3 + 6*w^2 + 34*w - 18]', '[9783, 3261, -w^3 - 4*w^2 + 7*w + 18]', '[9783, 3261, 5*w^3 - 9*w^2 - 16*w + 10]', '[9787, 9787, -5*w^3 + 5*w^2 + 26*w - 1]', '[9787, 9787, -w^3 + 6*w^2 + 2*w - 6]', '[9787, 9787, 3*w^3 + 3*w^2 - 23*w - 23]', '[9787, 9787, -5*w^3 - w^2 + 26*w + 10]', '[9793, 9793, 4*w^2 - 11]', '[9793, 9793, w^3 + w^2 - 8*w + 6]', '[9793, 9793, -w^3 - 3*w + 4]', '[9793, 9793, 3*w^3 - 4*w^2 - 24*w + 4]', '[9803, 9803, w^3 - w - 10]', '[9803, 9803, -4*w^3 + 6*w^2 + 16*w + 1]', '[9808, 1226, 6*w^3 - 2*w^2 - 30*w - 4]', '[9808, 1226, -2*w^3 + 6*w^2 + 6*w - 6]', '[9811, 9811, 6*w^3 - w^2 - 31*w - 13]', '[9817, 9817, 4*w^3 - 2*w^2 - 26*w - 3]', '[9817, 9817, -7*w^3 + 7*w^2 + 31*w + 1]', '[9819, 3273, 6*w^3 - 5*w^2 - 28*w + 11]', '[9819, 3273, 3*w^3 - w^2 - 7*w + 16]', '[9819, 3273, w^3 - 5*w + 8]', '[9819, 3273, -w^3 + w^2 + 15*w + 19]', '[9821, 9821, -2*w^3 + w^2 + 17*w + 5]', '[9829, 9829, 4*w^3 - 3*w^2 - 27*w - 10]', '[9833, 9833, -2*w^3 - 3*w^2 + 21*w + 16]', '[9833, 9833, -2*w^3 + 4*w^2 + 6*w - 13]', '[9837, 3279, 2*w^3 - 3*w^2 - 13*w + 13]', '[9837, 3279, -3*w^3 - 5*w^2 + 16*w + 29]', '[9839, 9839, 5*w^3 - w^2 - 24*w - 6]', '[9839, 9839, 7*w^3 - 4*w^2 - 38*w - 6]', '[9841, 9841, -4*w^3 + 9*w^2 + 9*w - 9]', '[9857, 9857, 6*w^3 - 5*w^2 - 27*w - 8]', '[9863, 9863, 5*w^3 - 7*w^2 - 22*w + 3]', '[9863, 9863, -2*w^2 - 5*w + 7]', '[9871, 9871, 7*w^3 - 2*w^2 - 38*w - 20]', '[9872, 1234, 6*w^3 - 38*w - 20]', '[9872, 1234, 4*w^3 - 2*w^2 - 26*w - 2]', '[9873, 3291, -6*w^3 + 8*w^2 + 22*w + 1]', '[9873, 3291, -5*w^3 + 2*w^2 + 30*w + 14]', '[9877, 9877, -6*w^3 + 39*w + 23]', '[9883, 9883, w^3 + 2*w^2 - 11*w - 16]', '[9887, 9887, -4*w^3 + 21*w]', '[9891, 3297, 6*w^3 + w^2 - 29*w - 13]', '[9891, 3297, -6*w^3 - w^2 + 28*w + 7]', '[9901, 9901, -7*w^3 + 7*w^2 + 32*w - 1]', '[9901, 9901, -4*w^3 + 2*w^2 + 15*w + 4]', '[9907, 9907, -9*w^3 + 2*w^2 + 50*w + 12]', '[9907, 9907, -2*w^3 + 3*w^2 + 18*w]', '[9919, 9919, 2*w^3 - 5*w^2 - 17*w - 1]', '[9923, 9923, -w^3 + 6*w - 8]', '[9927, 3309, -2*w^3 - 3*w^2 + 16*w + 8]', '[9927, 3309, -8*w^3 - 3*w^2 + 43*w + 28]', '[9927, 3309, -7*w^3 + 7*w^2 + 34*w - 15]', '[9927, 3309, -2*w^3 + 4*w^2 + 5*w - 24]', '[9927, 3309, 4*w^3 - 7*w^2 - 13*w + 12]', '[9927, 3309, -2*w^3 - 3*w^2 + 16*w + 25]', '[9927, 3309, 4*w^2 - w - 13]', '[9927, 3309, 7*w^3 + 6*w^2 - 35*w - 35]', '[9931, 9931, 2*w^2 + 2*w - 15]', '[9941, 9941, 7*w^3 - 2*w^2 - 37*w - 11]', '[9941, 9941, 6*w^3 - 2*w^2 - 37*w - 17]', '[9943, 9943, -w^3 + 4*w^2 + 6*w - 18]', '[9947, 203, -4*w^3 + 3*w^2 + 27*w + 4]', '[9947, 9947, 4*w^3 - 3*w^2 - 22*w - 7]', '[9949, 9949, 5*w^3 - 3*w^2 - 31*w]', '[9949, 9949, 7*w^3 - 37*w - 17]', '[9949, 9949, -4*w^3 + 6*w^2 + 19*w - 9]', '[9949, 9949, -3*w^3 + 3*w^2 + 22*w]', '[9953, 9953, w^3 + 4*w^2 - 8*w - 13]', '[9953, 9953, 4*w^3 - 25*w - 2]', '[9953, 9953, 4*w^3 + 2*w^2 - 30*w - 21]', '[9953, 9953, 3*w^3 - 22*w - 10]', '[9953, 9953, -4*w^3 + 5*w^2 + 17*w - 12]', '[9953, 9953, 2*w^3 - w^2 - 13*w - 13]', '[9953, 9953, 2*w^3 + 2*w^2 - 15*w - 2]', '[9953, 9953, 8*w^3 - 3*w^2 - 45*w - 3]', '[9959, 9959, 6*w^3 - w^2 - 31*w - 12]', '[9959, 9959, 5*w^3 + 3*w^2 - 31*w - 21]', '[9967, 9967, w^2 + w - 14]', '[9973, 9973, 6*w^2 - 7*w - 25]', '[9981, 3327, -5*w^3 + 3*w^2 + 31*w + 1]', '[9981, 3327, -3*w^3 - 2*w^2 + 29*w - 4]', '[9983, 9983, 5*w^3 - 2*w^2 - 31*w - 15]', '[9989, 9989, -w^3 + w^2 + 13*w + 1]', '[9997, 9997, w^3 - 4*w - 13]', '[9997, 9997, -4*w^3 + 8*w^2 + 12*w - 11]', '[10000, 10, -10]'], 'label': '4.4.14197.1', 'narrow_class_no': 2, 'primes': ['[7, 7, w - 1]', '[9, 3, w^3 - 5*w - 2]', '[9, 3, w^3 - w^2 - 4*w]', '[13, 13, -w + 2]', '[16, 2, 2]', '[17, 17, w^3 - w^2 - 5*w]', '[19, 19, -w^3 + w^2 + 6*w]', '[23, 23, -w^2 + w + 3]', '[29, 29, w^3 - 5*w]', '[31, 31, w^3 - 6*w - 1]', '[31, 31, w^2 - 2]', '[37, 37, -w - 3]', '[37, 37, w^3 - 4*w - 1]', '[37, 37, w^3 - 7*w - 4]', '[37, 37, w^2 - 3]', '[43, 43, w^2 + w - 3]', '[43, 43, w^3 - w^2 - 5*w - 1]', '[47, 47, -w^3 + w^2 + 5*w - 4]', '[53, 53, w^3 - 6*w]', '[61, 61, w^3 - w^2 - 7*w - 2]', '[67, 67, -w^3 + 4*w - 2]', '[73, 73, w^3 - 7*w - 3]', '[79, 79, w^3 - 7*w - 2]', '[79, 79, -2*w^3 + w^2 + 10*w]', '[83, 83, -2*w^3 + 11*w + 4]', '[101, 101, -2*w^3 + w^2 + 10*w + 2]', '[101, 101, w^3 - w^2 - 6*w - 2]', '[109, 109, -3*w - 1]', '[113, 113, 2*w^3 - w^2 - 10*w - 1]', '[149, 149, w^2 - 2*w - 8]', '[157, 157, w^3 + w^2 - 5*w - 7]', '[163, 163, 3*w^3 - 2*w^2 - 15*w - 1]', '[167, 167, 3*w^3 - w^2 - 16*w - 3]', '[173, 173, -w - 4]', '[173, 173, w^2 - 2*w - 5]', '[179, 179, -w^3 + 2*w^2 + 4*w - 4]', '[181, 181, -w^3 + 2*w^2 + 6*w - 6]', '[191, 191, 2*w^2 - 3*w - 7]', '[191, 191, 2*w^2 - w - 3]', '[197, 197, 2*w^3 - w^2 - 13*w - 4]', '[197, 197, w^3 + w^2 - 8*w - 3]', '[223, 223, 3*w^3 - w^2 - 16*w - 4]', '[227, 227, -w^3 + 2*w^2 + 5*w - 5]', '[227, 227, w^3 - 4*w - 5]', '[239, 239, 2*w^3 - 11*w - 3]', '[239, 239, -2*w^3 + 2*w^2 + 10*w - 7]', '[239, 239, w^3 - w^2 - 5*w - 4]', '[239, 239, w^3 - 4*w - 7]', '[257, 257, -2*w^3 + w^2 + 9*w]', '[263, 263, -w^3 + 2*w^2 + 5*w - 4]', '[269, 269, 2*w^3 - w^2 - 9*w - 3]', '[269, 269, w^3 - w^2 - 4*w - 4]', '[281, 281, 3*w - 2]', '[281, 281, 4*w^3 - 2*w^2 - 21*w]', '[293, 293, w^3 - 4*w - 6]', '[307, 307, 2*w^3 - 13*w - 6]', '[307, 307, -w^3 + 3*w^2 + 3*w - 11]', '[311, 311, 3*w^3 - w^2 - 18*w - 7]', '[311, 311, w^2 + w - 5]', '[313, 313, -w^3 + w^2 + 7*w - 4]', '[313, 313, w^2 - w - 8]', '[337, 337, -2*w^3 + w^2 + 9*w + 2]', '[343, 7, w^3 + w^2 - 5*w - 8]', '[347, 347, 2*w^3 - 3*w^2 - 11*w + 2]', '[347, 347, w^3 - w^2 - 2*w - 3]', '[353, 353, 3*w^3 - 2*w^2 - 15*w - 3]', '[353, 353, w^3 - 6*w - 7]', '[359, 359, -2*w^3 + w^2 + 12*w + 5]', '[367, 367, 2*w^3 - 2*w^2 - 13*w + 4]', '[373, 373, -3*w^3 + w^2 + 15*w + 7]', '[373, 373, w^3 + w^2 - 8*w - 11]', '[389, 389, 3*w^3 - w^2 - 17*w - 1]', '[397, 397, -3*w^3 + w^2 + 16*w + 9]', '[397, 397, 2*w^2 - w - 4]', '[401, 401, -w^3 + w^2 + 3*w - 4]', '[421, 421, 3*w^3 - 2*w^2 - 14*w - 6]', '[421, 421, 2*w^2 + w - 4]', '[433, 433, 2*w^3 - w^2 - 13*w - 3]', '[433, 433, 2*w^3 - w^2 - 12*w - 6]', '[439, 439, 2*w^3 - w^2 - 13*w - 7]', '[439, 439, w^3 - 3*w - 4]', '[457, 457, 2*w^2 - 7]', '[457, 457, 2*w^3 - 2*w^2 - 10*w - 5]', '[461, 461, w - 5]', '[463, 463, w^3 + 2*w^2 - 5*w - 9]', '[463, 463, w^3 + w^2 - 8*w - 10]', '[467, 467, -4*w^3 + 2*w^2 + 21*w + 3]', '[467, 467, w^3 + 2*w^2 - 8*w - 6]', '[491, 491, -w - 5]', '[491, 491, 3*w^3 - w^2 - 17*w - 7]', '[499, 499, w^3 - 2*w^2 - 7*w + 5]', '[503, 503, -2*w^3 + 3*w^2 + 8*w]', '[541, 541, 2*w^3 - w^2 - 13*w]', '[541, 541, -3*w^3 + 3*w^2 + 17*w - 2]', '[557, 557, -2*w^3 + w^2 + 8*w + 1]', '[563, 563, -4*w^3 + 3*w^2 + 22*w - 1]', '[563, 563, 3*w^3 - 2*w^2 - 16*w - 2]', '[571, 571, 2*w^2 - w - 7]', '[571, 571, 3*w^3 - 2*w^2 - 18*w + 1]', '[593, 593, w^3 + 2*w^2 - 7*w - 8]', '[601, 601, 2*w^2 - 5]', '[613, 613, 3*w^3 - w^2 - 15*w - 2]', '[613, 613, -w^3 + 3*w^2 + 3*w - 3]', '[617, 617, 3*w^3 - 19*w - 10]', '[617, 617, 2*w^3 - w^2 - 13*w - 1]', '[625, 5, -5]', '[631, 631, 3*w^3 - w^2 - 17*w]', '[631, 631, w^3 + w^2 - 5*w - 10]', '[643, 643, -3*w^3 + 2*w^2 + 14*w - 1]', '[647, 647, -2*w^3 + 13*w]', '[653, 653, -3*w^3 + 2*w^2 + 17*w + 2]', '[661, 661, -3*w^3 + w^2 + 13*w + 9]', '[661, 661, -2*w^3 + 2*w^2 + 13*w + 2]', '[673, 673, -4*w^3 + w^2 + 22*w + 4]', '[677, 677, 2*w^3 - 3*w^2 - 8*w - 2]', '[677, 677, 3*w^3 - w^2 - 18*w - 8]', '[683, 683, -w^3 + 2*w^2 + 6*w - 8]', '[683, 683, -w^3 - 2*w^2 + 5*w + 8]', '[709, 709, 3*w^3 - w^2 - 19*w - 7]', '[709, 709, 2*w^3 - 12*w - 1]', '[719, 719, w^3 - w^2 - 4*w - 5]', '[719, 719, 2*w^2 - 4*w - 7]', '[733, 733, -2*w^3 + 3*w^2 + 10*w - 6]', '[743, 743, 2*w^3 - 2*w^2 - 14*w - 1]', '[743, 743, 2*w^3 - 11*w]', '[757, 757, -w^3 + 2*w^2 + w - 4]', '[769, 769, w^3 + w^2 - 4*w - 7]', '[769, 769, -w^3 + 2*w^2 + 2*w - 5]', '[787, 787, 3*w^3 - w^2 - 15*w - 5]', '[797, 797, -4*w^3 + 3*w^2 + 19*w - 6]', '[797, 797, -3*w^3 + 2*w^2 + 14*w]', '[811, 811, -w^2 - 3]', '[811, 811, -w^3 + w^2 + 8*w - 4]', '[821, 821, 2*w^3 - 2*w^2 - 10*w - 3]', '[821, 821, -3*w^3 + w^2 + 12*w + 8]', '[823, 823, -w^3 + w^2 + 2*w - 4]', '[829, 829, w^3 - 7*w + 4]', '[829, 829, 3*w^3 - 19*w - 4]', '[839, 839, w^2 - w - 9]', '[853, 853, 3*w^3 - w^2 - 15*w - 4]', '[863, 863, w^3 + w^2 - 8*w - 13]', '[863, 863, w^2 - 3*w - 7]', '[863, 863, -w^3 + w^2 + 4*w - 7]', '[863, 863, -w^2 + w - 3]', '[877, 877, -2*w^3 + 3*w^2 + 6*w - 4]', '[919, 919, 2*w^3 - 14*w - 7]', '[929, 929, 2*w^3 + w^2 - 13*w - 6]', '[937, 937, -w^3 + 3*w^2 + 7*w - 4]', '[937, 937, -3*w^3 + 4*w^2 + 16*w - 5]', '[941, 941, -4*w^3 + w^2 + 24*w + 11]', '[941, 941, w^2 + 2*w - 5]', '[947, 947, w^3 - 9*w - 1]', '[953, 953, 4*w^3 - w^2 - 21*w - 9]', '[961, 31, 3*w^3 - 2*w^2 - 16*w - 3]', '[967, 967, 4*w^3 - 21*w - 9]', '[971, 971, 3*w^3 - w^2 - 18*w - 9]', '[971, 971, -w^3 + 2*w^2 + 3*w - 8]']}
• 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, -3, -6, 0, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 14197, 'disc_rad': 14197, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '4T5', 'galt': 5, 'grd': 119.15116449284078, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.14197.1', 'local_algs': ['m14197.1.1.0', 'm14197.1.1.0', 'm14197.2.1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 1, 'r2': 0, 'ramps': [14197], 'rd': 10.9156385289, 'regulator': {'__RealLiteral__': 0, 'data': '5.02420256058', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 3, 'used_grh': False}