Hilbert modular form data - 4.4.1125.1-145.2-b

Formats: - HTML - YAML - JSON - 2025-12-21T00:14:20.705084

• 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': 1125, 'field_bad_primes': [3, 5], 'field_label': '4.4.1125.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.1125.1-145.2-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [5, 29], 'level_ideal': '[145,145,w^3 - 4*w - 3]', 'level_label': '145.2', 'level_norm': 145, 'parallel_weight': 2, 'short_label': '145.2-b', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[5,5,-w^3 + 4*w - 2]', 1], ['[29,29,-w^2 + w + 3]', 1]], 'hecke_eigenvalues': [-1, 4, 3, -2, -1, -2, -2, 4, -10, 4, 4, -4, 10, -4, -4, 6, 6, -8, 6, -6, -6, 8, -6, 10, -4, 4, 18, -10, 4, -16, -16, -2, -2, 16, -12, -12, 16, 0, 14, 0, -14, 2, -12, 16, 16, 12, 26, 12, -30, -10, -10, 4, -10, -18, -18, -18, 10, 6, -8, -22, -8, -4, 10, -4, -18, -24, 18, 32, -24, -2, -16, 30, 2, 30, 16, -28, 28, 0, 0, 2, 30, -26, 2, -2, -30, -2, -30, -4, -32, -18, -4, -6, -34, 36, 22, -18, 10, -18, -32, 18, 18, -10, -10, 40, 40, 12, -30, -40, -12, 2, 30, -14, 14, -14, 14, 16, 16, 16, 2, 12, -44, -30, 40, -10, -10, -24, -38, 20, -8, -8, 20, -34, 8, 36, 8, -32, 10, 52, -4, 16, 44, -26, 30, 14, 28, -28, 0, 28, 56, 0, -14, -6, 50, 22, -6, -58, 40, -44, 40], 'hecke_polynomial': 'x', 'label': '4.4.1125.1-145.2-b'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 1125, 'ideals': ['[1, 1, 1]', '[5, 5, -w^2 + 1]', '[9, 3, w^3 + w^2 - 4*w - 3]', '[16, 2, 2]', '[25, 5, -2*w^3 + 6*w - 1]', '[29, 29, -w^3 - w^2 + 2*w + 3]', '[29, 29, -w^2 + w + 3]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[29, 29, 2*w^3 + w^2 - 7*w]', '[31, 31, -2*w + 1]', '[31, 31, 2*w^2 - 5]', '[31, 31, 2*w^3 + 2*w^2 - 6*w - 3]', '[31, 31, 2*w^3 - 8*w + 1]', '[45, 15, w^3 + 2*w^2 - 3*w - 4]', '[59, 59, w^3 + w^2 - 2*w - 5]', '[59, 59, -w^3 + 2*w^2 + 4*w - 5]', '[59, 59, -3*w^3 + 10*w - 4]', '[59, 59, -2*w^3 - w^2 + 7*w - 2]', '[61, 61, 4*w^3 + w^2 - 13*w - 1]', '[61, 61, 2*w^3 - w^2 - 5*w + 2]', '[61, 61, -3*w^3 - w^2 + 8*w]', '[61, 61, 3*w^3 - w^2 - 10*w + 5]', '[80, 10, 2*w^3 + 2*w^2 - 6*w - 6]', '[81, 3, -3]', '[89, 89, w^3 + w^2 - w - 4]', '[89, 89, 2*w^2 - w - 6]', '[89, 89, -3*w^3 - 2*w^2 + 10*w + 1]', '[89, 89, -2*w^3 + w^2 + 8*w - 2]', '[121, 11, -w^3 + 3*w + 3]', '[121, 11, 3*w^3 - 9*w + 1]', '[125, 5, 3*w^3 - w^2 - 11*w + 3]', '[144, 6, 2*w^3 + 2*w^2 - 8*w - 6]', '[145, 145, w^2 - 6]', '[145, 145, -w^3 + 4*w + 3]', '[145, 145, w^3 + w^2 - 3*w + 2]', '[145, 145, w - 4]', '[149, 149, 3*w^3 + 2*w^2 - 9*w - 5]', '[149, 149, w^3 + 2*w^2 - 2*w - 7]', '[149, 149, w^3 + w^2 - 5*w - 4]', '[149, 149, -3*w^3 + 11*w - 4]', '[151, 151, 3*w^3 - w^2 - 9*w + 3]', '[151, 151, 3*w^3 - 8*w + 2]', '[151, 151, 4*w^3 + w^2 - 12*w - 1]', '[151, 151, -4*w^3 + 13*w - 3]', '[155, 155, -3*w^3 - w^2 + 11*w - 1]', '[155, 155, w^3 - 2*w^2 - 4*w + 4]', '[155, 155, 2*w^3 + 2*w^2 - 5*w - 5]', '[155, 155, -w^2 + 2*w + 3]', '[179, 179, -4*w^3 - w^2 + 14*w - 1]', '[179, 179, 3*w^3 + 2*w^2 - 8*w - 4]', '[179, 179, -w^3 + w^2 + w - 3]', '[179, 179, -2*w^3 + 2*w^2 + 7*w - 5]', '[181, 181, 4*w^3 + w^2 - 12*w]', '[181, 181, -3*w^3 + 8*w - 1]', '[181, 181, 4*w^3 - 13*w + 2]', '[181, 181, -3*w^3 + w^2 + 9*w - 4]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 6]', '[211, 211, -w^3 + 6*w - 2]', '[211, 211, 2*w^3 - 9*w + 2]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 5]', '[225, 15, 5*w^3 + w^2 - 18*w + 1]', '[239, 239, w^3 + 3*w^2 - 2*w - 10]', '[239, 239, 2*w^3 + w^2 - 9*w - 4]', '[239, 239, 2*w^3 + w^2 - 9*w + 3]', '[239, 239, -w^3 - 3*w^2 + 2*w + 3]', '[241, 241, 5*w^3 + w^2 - 16*w - 1]', '[241, 241, -2*w^3 - 4*w^2 + 5*w + 9]', '[241, 241, 3*w^3 + w^2 - 13*w + 1]', '[241, 241, 5*w^3 - 16*w]', '[256, 4, 4]', '[261, 87, 2*w^3 + 3*w^2 - 7*w - 7]', '[261, 87, w^3 - w^2 - 6*w + 2]', '[261, 87, -2*w^3 - 3*w^2 + 7*w + 4]', '[261, 87, -w^3 + w^2 + 6*w - 5]', '[269, 269, -3*w^3 - 2*w^2 + 7*w + 4]', '[269, 269, -2*w^3 - 3*w^2 + 5*w + 8]', '[269, 269, -3*w^3 - 2*w^2 + 9*w + 7]', '[269, 269, 5*w^3 + 2*w^2 - 17*w - 1]', '[271, 271, 5*w^3 + w^2 - 16*w]', '[271, 271, -2*w^3 - w^2 + 6*w + 6]', '[271, 271, 4*w^3 + w^2 - 11*w]', '[271, 271, 3*w^3 - w^2 - 8*w + 3]', '[279, 93, 2*w^3 + 2*w^2 - 5*w - 6]', '[279, 93, w^2 - 2*w - 4]', '[279, 93, 3*w^3 + w^2 - 11*w + 2]', '[279, 93, w^3 - 2*w^2 - 4*w + 3]', '[295, 295, -2*w^3 - w^2 + 7*w - 4]', '[295, 295, -3*w^3 + 2*w^2 + 7*w - 3]', '[295, 295, 2*w^3 + 4*w^2 - 5*w - 7]', '[295, 295, 2*w^3 + 5*w^2 - 7*w - 5]', '[305, 305, 5*w^3 + 3*w^2 - 11*w - 4]', '[305, 305, -2*w^3 + w^2 + w + 3]', '[305, 305, -w^3 - 2*w^2 + w + 7]', '[305, 305, -4*w^3 - 2*w^2 + 11*w + 4]', '[331, 331, -w^3 + 2*w^2 + 6*w - 6]', '[331, 331, -2*w^3 - 3*w^2 + 7*w + 5]', '[331, 331, 2*w^3 + 3*w^2 - 8*w - 5]', '[331, 331, 3*w^3 + 3*w^2 - 11*w - 5]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 5]', '[359, 359, 3*w^3 + 2*w^2 - 12*w]', '[359, 359, w^3 + 3*w^2 - w - 9]', '[359, 359, 3*w^2 + 2*w - 5]', '[361, 19, -w^3 + 3*w + 4]', '[361, 19, 4*w^3 - 12*w + 1]', '[389, 389, w^3 - 3*w^2 - 3*w + 5]', '[389, 389, 2*w^3 + 2*w^2 - 5*w - 7]', '[389, 389, 4*w^3 + 3*w^2 - 12*w - 7]', '[389, 389, -4*w^3 + 15*w - 5]', '[400, 10, -4*w^3 + 12*w - 2]', '[405, 15, -3*w^3 - 3*w^2 + 9*w + 9]', '[419, 419, -3*w^3 - 3*w^2 + 8*w + 7]', '[419, 419, -4*w^3 - 2*w^2 + 13*w - 1]', '[419, 419, -4*w^3 - w^2 + 15*w - 2]', '[419, 419, w^3 - 3*w^2 - 4*w + 6]', '[421, 421, w^2 - 7]', '[421, 421, -w^3 + 4*w + 4]', '[421, 421, 4*w^3 - 11*w]', '[421, 421, 4*w^3 - w^2 - 12*w + 6]', '[445, 445, -w^3 + 7*w - 4]', '[445, 445, -4*w^3 + w^2 + 8*w - 2]', '[445, 445, 4*w^3 + 5*w^2 - 13*w - 4]', '[445, 445, -w^3 - w^2 + 2*w - 3]', '[449, 449, 3*w^3 + 2*w^2 - 11*w + 1]', '[449, 449, -w^3 - 2*w^2 + 5*w + 7]', '[449, 449, -w^3 + 2*w^2 + 5*w - 2]', '[449, 449, w^3 + 2*w^2 - w - 8]', '[464, 58, -2*w^3 - 2*w^2 + 4*w + 6]', '[464, 58, -2*w^2 + 2*w + 6]', '[464, 58, 2*w^3 - 2*w^2 - 8*w + 4]', '[464, 58, 4*w^3 + 2*w^2 - 14*w]', '[479, 479, 2*w^3 + 3*w^2 - 5*w - 9]', '[479, 479, -3*w^2 - w + 4]', '[479, 479, -3*w^3 - w^2 + 12*w - 3]', '[479, 479, w^3 + w^2 - 6*w - 4]', '[496, 62, -4*w + 2]', '[496, 62, 4*w^2 - 10]', '[496, 62, 4*w^3 + 4*w^2 - 12*w - 6]', '[496, 62, 4*w^3 - 16*w + 2]', '[509, 509, 4*w^3 + 3*w^2 - 11*w - 6]', '[509, 509, -w^3 + w^2 - 3]', '[509, 509, -2*w^3 + 3*w^2 + 7*w - 7]', '[509, 509, -5*w^3 - w^2 + 18*w - 2]', '[531, 177, -4*w^3 - 5*w^2 + 15*w + 13]', '[531, 177, 4*w^3 - 2*w^2 - 16*w + 9]', '[531, 177, 7*w^3 - w^2 - 24*w + 8]', '[531, 177, 4*w^3 - w^2 - 12*w + 5]', '[541, 541, -4*w^3 + 11*w - 2]', '[541, 541, -4*w^3 + w^2 + 12*w - 4]', '[541, 541, 5*w^3 - 16*w + 3]', '[541, 541, 5*w^3 + w^2 - 15*w]', '[549, 183, -13*w^3 - 4*w^2 + 46*w + 6]', '[549, 183, -4*w^3 - w^2 + 16*w - 3]', '[549, 183, 5*w^3 + 2*w^2 - 17*w]', '[549, 183, -8*w^3 + w^2 + 29*w - 9]', '[569, 569, -4*w^3 - w^2 + 14*w - 3]', '[569, 569, 4*w^3 + 2*w^2 - 15*w]', '[569, 569, w^3 - 3*w^2 - 5*w + 6]', '[569, 569, 2*w^3 + 3*w^2 - 4*w - 8]', '[571, 571, -4*w^3 - w^2 + 17*w + 2]', '[571, 571, 3*w^3 + 4*w^2 - 10*w - 10]', '[571, 571, w^3 + 5*w^2 - 2*w - 14]', '[571, 571, -6*w^3 + 20*w - 3]', '[599, 599, -2*w^3 + w^2 + 4*w - 5]', '[599, 599, -4*w^3 - 2*w^2 + 11*w + 5]', '[599, 599, 3*w^3 - 2*w^2 - 10*w + 4]', '[599, 599, -5*w^3 - w^2 + 17*w - 3]', '[601, 601, w^3 - 7*w + 1]', '[601, 601, 3*w^3 + 4*w^2 - 9*w - 8]', '[601, 601, 3*w^3 - 13*w + 3]', '[601, 601, w^3 + 4*w^2 - 3*w - 8]', '[605, 55, -3*w^3 - w^2 + 6*w + 4]', '[605, 55, w^3 - 3*w^2 - 2*w + 2]', '[625, 5, 5]', '[631, 631, 6*w^3 + w^2 - 19*w - 1]', '[631, 631, -3*w^3 + w^2 + 13*w - 3]', '[631, 631, 5*w^3 + w^2 - 14*w + 2]', '[631, 631, -5*w^3 + w^2 + 16*w - 7]', '[659, 659, -6*w^3 - 2*w^2 + 19*w - 2]', '[659, 659, -5*w^3 + w^2 + 17*w - 2]', '[659, 659, -4*w^3 + 15*w - 6]', '[659, 659, -4*w^3 - 3*w^2 + 12*w + 8]', '[661, 661, -5*w^3 + 2*w^2 + 16*w - 7]', '[661, 661, 6*w^3 + 2*w^2 - 17*w - 2]', '[661, 661, -7*w^3 - w^2 + 23*w - 2]', '[661, 661, -4*w^3 + w^2 + 10*w - 4]', '[691, 691, -6*w^3 + 19*w - 6]', '[691, 691, -5*w^3 + w^2 + 15*w - 2]', '[691, 691, 5*w^3 - 14*w + 5]', '[691, 691, 2*w^3 + 4*w^2 - 7*w - 10]', '[719, 719, -7*w^3 - 2*w^2 + 24*w]', '[719, 719, -2*w^3 + 2*w^2 + 3*w - 5]', '[719, 719, -5*w^3 - 3*w^2 + 13*w + 5]', '[719, 719, -4*w^3 + 3*w^2 + 14*w - 9]', '[720, 30, 2*w^3 + 4*w^2 - 6*w - 8]', '[725, 145, -w^3 + 3*w^2 + 4*w - 5]', '[725, 145, -4*w^3 - w^2 + 15*w - 3]', '[725, 145, 3*w^3 + 3*w^2 - 8*w - 8]', '[725, 145, w^2 - 3*w - 4]', '[729, 9, -3*w^3 - 3*w^2 + 12*w + 9]', '[745, 745, -4*w^3 + w^2 + 11*w - 4]', '[745, 745, w^2 + 4*w - 2]', '[745, 745, w^3 + 4*w^2 - 4*w - 7]', '[745, 745, -5*w^3 - w^2 + 14*w]', '[751, 751, 4*w^3 + 4*w^2 - 14*w - 5]', '[751, 751, 5*w^3 + 4*w^2 - 17*w - 8]', '[751, 751, -3*w^3 + 2*w^2 + 13*w - 9]', '[751, 751, 6*w^3 + w^2 - 19*w]', '[755, 755, -2*w^3 + 2*w + 5]', '[755, 755, -4*w^3 - 2*w^2 + 7*w + 5]', '[755, 755, 3*w^3 + 3*w^2 - 7*w - 7]', '[755, 755, -5*w^3 - 2*w^2 + 12*w + 4]', '[775, 155, 2*w^3 + 4*w^2 - 8*w - 5]', '[775, 155, 2*w^3 - 2*w^2 - 10*w + 9]', '[775, 155, -2*w^2 - 4*w + 3]', '[775, 155, 4*w^3 + 4*w^2 - 14*w - 9]', '[801, 267, -w^3 - 4*w^2 + 4*w + 9]', '[801, 267, -4*w^3 - 4*w^2 + 13*w + 15]', '[801, 267, 8*w^3 + 2*w^2 - 26*w - 3]', '[801, 267, 10*w^3 + w^2 - 37*w]', '[809, 809, w^3 + 3*w^2 - w - 11]', '[809, 809, -5*w^3 + 18*w - 6]', '[809, 809, -6*w^3 - w^2 + 20*w - 4]', '[809, 809, 5*w^3 + 3*w^2 - 15*w - 7]', '[811, 811, 5*w^3 + 4*w^2 - 18*w - 6]', '[811, 811, 7*w^3 + 2*w^2 - 22*w - 1]', '[811, 811, 4*w^3 - 2*w^2 - 11*w + 6]', '[811, 811, 5*w^3 + w^2 - 13*w]', '[839, 839, -4*w^3 - 4*w^2 + 11*w + 9]', '[839, 839, 5*w^3 + w^2 - 19*w + 3]', '[839, 839, -6*w^3 - 2*w^2 + 21*w]', '[839, 839, -5*w^3 - 3*w^2 + 16*w]', '[841, 29, -w^3 + 3*w + 5]', '[841, 29, -w^3 - 4*w^2 + 4*w + 8]', '[841, 29, 3*w^3 - w^2 - 13*w + 5]', '[841, 29, w^3 - 3*w + 6]', '[841, 29, -w^2 - 4*w + 3]', '[841, 29, -4*w^3 - 4*w^2 + 13*w + 7]', '[841, 841, -5*w^3 - 4*w^2 + 17*w + 7]', '[841, 841, -3*w^3 + 2*w^2 + 13*w - 8]', '[841, 841, w^3 + 2*w^2 + w - 4]', '[841, 841, -w^3 - 4*w^2 + 5*w + 7]', '[895, 895, -w^3 - w^2 + 5*w - 5]', '[895, 895, -6*w^3 - 2*w^2 + 15*w + 1]', '[895, 895, 2*w^3 - 3]', '[895, 895, 3*w^3 + 4*w^2 - 10*w - 6]', '[899, 899, w^3 - w^2 + 4]', '[899, 899, 6*w^3 + w^2 - 21*w + 3]', '[899, 899, -4*w^3 + 15*w - 7]', '[899, 899, -w^3 - 4]', '[899, 899, 4*w^3 - 2*w^2 - 14*w + 5]', '[899, 899, 2*w^3 - w^2 - 3*w + 4]', '[899, 899, 3*w^3 - 3*w^2 - 10*w + 7]', '[899, 899, -4*w^3 - 2*w^2 + 10*w + 5]', '[899, 899, -5*w^3 - 3*w^2 + 14*w + 6]', '[899, 899, 2*w^3 - 2*w^2 - 4*w + 7]', '[899, 899, -2*w^3 + 3*w^2 + 7*w - 6]', '[899, 899, 5*w^3 + w^2 - 18*w + 3]', '[899, 899, 4*w^3 + 3*w^2 - 12*w - 9]', '[899, 899, 4*w^3 + 3*w^2 - 11*w - 7]', '[899, 899, -w^3 + 3*w^2 + 3*w - 3]', '[899, 899, 6*w^3 + 2*w^2 - 20*w + 1]', '[905, 905, -5*w^3 - 3*w^2 + 12*w + 5]', '[905, 905, 4*w^3 + w^2 - 7*w - 4]', '[905, 905, 2*w^3 + w^2 - 2*w - 6]', '[905, 905, -3*w^3 - 2*w^2 + 7*w + 6]', '[929, 929, 5*w^3 + w^2 - 17*w + 4]', '[929, 929, 3*w^3 - 2*w^2 - 10*w + 3]', '[929, 929, 4*w^3 + 2*w^2 - 11*w - 6]', '[929, 929, 4*w^3 + 2*w^2 - 15*w + 1]', '[944, 118, 2*w^3 + 2*w^2 - 4*w - 10]', '[944, 118, -2*w^3 + 4*w^2 + 8*w - 10]', '[944, 118, -6*w^3 + 20*w - 8]', '[944, 118, -4*w^3 - 2*w^2 + 14*w - 4]', '[961, 31, 2*w^3 - w^2 - 10*w + 5]', '[961, 31, 5*w^3 - 15*w + 2]', '[961, 31, 5*w^3 - 15*w + 3]', '[961, 31, 2*w^3 + 4*w^2 - 7*w - 7]', '[961, 31, 3*w^3 + 4*w^2 - 10*w - 8]', '[961, 31, w^3 - w^2 - 7*w + 3]', '[961, 961, w^2 - 8]', '[961, 961, w^3 - 4*w - 5]', '[961, 961, -w^3 - w^2 + 3*w - 4]', '[961, 961, w - 6]', '[976, 122, 8*w^3 + 2*w^2 - 26*w - 2]', '[976, 122, 4*w^3 - 2*w^2 - 10*w + 4]', '[976, 122, -6*w^3 - 2*w^2 + 16*w]', '[976, 122, 6*w^3 - 2*w^2 - 20*w + 10]', '[991, 991, 3*w^3 + w^2 - 14*w + 1]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 11]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 10]', '[991, 991, 3*w^2 + 4*w - 7]', '[1019, 1019, 4*w^2 + w - 6]', '[1019, 1019, 3*w^3 + 4*w^2 - 8*w - 11]', '[1019, 1019, 4*w^3 + w^2 - 16*w + 4]', '[1019, 1019, w^3 + w^2 - 7*w - 4]', '[1021, 1021, -w^3 + w^2 + 4*w - 9]', '[1021, 1021, 5*w^3 - 14*w + 4]', '[1021, 1021, 6*w^3 + w^2 - 18*w - 1]', '[1021, 1021, -6*w^3 + 19*w - 5]', '[1049, 1049, w^2 - 3*w - 5]', '[1049, 1049, -3*w^3 - 3*w^2 + 8*w + 9]', '[1049, 1049, -4*w^3 - w^2 + 15*w - 4]', '[1049, 1049, -w^3 + 3*w^2 + 4*w - 4]', '[1051, 1051, w^3 - 2*w^2 - 7*w + 7]', '[1051, 1051, 4*w^3 + 4*w^2 - 14*w - 7]', '[1051, 1051, 3*w^3 + 4*w^2 - 11*w - 8]', '[1051, 1051, 2*w^2 + 4*w - 5]', '[1055, 1055, -2*w^3 + 2*w^2 + w - 3]', '[1055, 1055, -5*w^3 - 4*w^2 + 16*w]', '[1055, 1055, w^3 - 2*w^2 + w + 4]', '[1055, 1055, -5*w^3 - 3*w^2 + 16*w - 1]', '[1089, 33, 6*w^3 + 4*w^2 - 23*w - 10]', '[1089, 33, -8*w^3 - 2*w^2 + 29*w]', '[1109, 1109, -w^3 + 3*w^2 + w - 9]', '[1109, 1109, 3*w^3 + 2*w^2 - 6*w - 6]', '[1109, 1109, 4*w^3 - 2*w^2 - 15*w + 5]', '[1109, 1109, 6*w^3 + 3*w^2 - 20*w - 1]', '[1125, 15, w^3 - 2*w^2 - 7*w + 6]', '[1171, 1171, 5*w^2 - 3*w - 9]', '[1171, 1171, 3*w^3 + 3*w^2 - 4*w - 5]', '[1171, 1171, -2*w^3 + 8*w + 5]', '[1171, 1171, 8*w^3 + 5*w^2 - 27*w - 8]', '[1195, 1195, -5*w^3 + w^2 + 15*w - 6]', '[1195, 1195, w^2 + 5*w - 1]', '[1195, 1195, 5*w^3 + 6*w^2 - 15*w - 1]', '[1195, 1195, -6*w^2 + 5*w + 6]', '[1201, 1201, 8*w^3 - 27*w + 3]', '[1201, 1201, 5*w^3 - 2*w^2 - 20*w + 8]', '[1201, 1201, 5*w^3 - 3*w^2 - 15*w + 11]', '[1201, 1201, w^3 + 3*w^2 + 2*w - 3]', '[1205, 1205, -5*w^3 - 2*w^2 + 13*w + 5]', '[1205, 1205, -4*w^2 + 6*w + 5]', '[1205, 1205, 7*w^3 + 3*w^2 - 21*w + 3]', '[1205, 1205, -4*w^3 + 9*w + 5]', '[1229, 1229, 2*w^2 - 3*w - 6]', '[1229, 1229, 3*w^3 - 2*w^2 - 10*w + 2]', '[1229, 1229, -2*w^3 + 3*w^2 + 8*w - 6]', '[1229, 1229, 5*w^3 + 2*w^2 - 18*w + 1]', '[1231, 1231, -5*w^3 + 14*w - 3]', '[1231, 1231, 5*w^3 - w^2 - 15*w + 4]', '[1231, 1231, -6*w^3 + 19*w - 4]', '[1231, 1231, 6*w^3 + w^2 - 18*w]', '[1259, 1259, -7*w^3 + w^2 + 25*w - 10]', '[1259, 1259, 8*w^3 + 4*w^2 - 25*w - 8]', '[1259, 1259, 4*w^3 + w^2 - 8*w + 2]', '[1259, 1259, -6*w^3 + 21*w - 7]', '[1280, 20, 4*w^3 + 4*w^2 - 12*w - 12]', '[1289, 1289, w^3 + 2*w^2 - 7*w - 5]', '[1289, 1289, w^3 - 4*w^2 - 5*w + 8]', '[1289, 1289, 3*w^3 + 4*w^2 - 7*w - 10]', '[1289, 1289, -5*w^3 - 2*w^2 + 19*w - 1]', '[1291, 1291, 6*w^3 + w^2 - 18*w + 1]', '[1291, 1291, -5*w^3 + 14*w - 2]', '[1291, 1291, 6*w^3 - 19*w + 3]', '[1291, 1291, -5*w^3 + w^2 + 15*w - 5]', '[1296, 6, -6]', '[1305, 435, -4*w^3 - 2*w^2 + 15*w - 2]', '[1305, 435, 2*w^3 + 3*w^2 - 4*w - 10]', '[1305, 435, w^3 + 2*w^2 - 6*w - 7]', '[1305, 435, -w^3 + 3*w^2 + 5*w - 4]', '[1319, 1319, -7*w^3 - 2*w^2 + 22*w - 4]', '[1319, 1319, 5*w^3 + 4*w^2 - 15*w - 10]', '[1319, 1319, -5*w^3 - w^2 + 13*w + 5]', '[1319, 1319, 6*w^3 + 4*w^2 - 22*w - 3]', '[1321, 1321, -5*w^3 + 3*w^2 + 15*w - 10]', '[1321, 1321, 5*w^2 - w - 12]', '[1321, 1321, -3*w^3 - 5*w^2 + 10*w + 6]', '[1321, 1321, 5*w^3 - 12*w + 1]', '[1341, 447, -10*w^3 - 6*w^2 + 35*w + 14]', '[1341, 447, -4*w^3 - 6*w^2 + 14*w + 17]', '[1341, 447, -9*w^3 - 4*w^2 + 32*w + 13]', '[1341, 447, 9*w^3 - w^2 - 31*w + 7]', '[1345, 1345, 7*w^3 + 2*w^2 - 16*w - 1]', '[1345, 1345, 5*w^3 - w^2 - 14*w + 2]', '[1345, 1345, 6*w^3 + w^2 - 17*w + 3]', '[1345, 1345, -5*w^3 - 5*w^2 + 16*w + 6]', '[1355, 1355, -5*w^3 - 3*w^2 + 13*w + 6]', '[1355, 1355, -6*w^3 - 3*w^2 + 13*w + 5]', '[1355, 1355, 3*w^3 - 3*w^2 - 8*w + 3]', '[1355, 1355, -3*w^3 + 3*w + 5]', '[1359, 453, -8*w^3 - w^2 + 30*w - 4]', '[1359, 453, -5*w^3 - w^2 + 18*w - 4]', '[1359, 453, -11*w^3 - 4*w^2 + 39*w + 5]', '[1359, 453, 11*w^3 + w^2 - 39*w + 4]', '[1381, 1381, -5*w^2 + 2*w + 10]', '[1381, 1381, 4*w^3 + 5*w^2 - 13*w - 12]', '[1381, 1381, 3*w^3 - 11*w - 5]', '[1381, 1381, -3*w^3 + w^2 + 14*w - 8]', '[1395, 465, -5*w^3 + 13*w - 2]', '[1395, 465, 7*w^3 + 2*w^2 - 21*w - 1]', '[1395, 465, 5*w^3 - 2*w^2 - 15*w + 7]', '[1395, 465, -7*w^3 + 23*w - 4]', '[1409, 1409, -5*w^3 - 5*w^2 + 14*w + 11]', '[1409, 1409, -6*w^3 - w^2 + 23*w - 4]', '[1409, 1409, -6*w^3 - 4*w^2 + 19*w + 1]', '[1409, 1409, -w^3 + 5*w^2 + 4*w - 10]', '[1424, 178, 2*w^3 + 2*w^2 - 2*w - 8]', '[1424, 178, 4*w^2 - 2*w - 12]', '[1424, 178, -6*w^3 - 4*w^2 + 20*w + 2]', '[1424, 178, -4*w^3 + 2*w^2 + 16*w - 4]', '[1439, 1439, -5*w^3 + w^2 + 18*w - 1]', '[1439, 1439, 5*w^3 + w^2 - 19*w + 4]', '[1439, 1439, -6*w^3 - 3*w^2 + 19*w - 1]', '[1439, 1439, w^3 - 4*w^2 - 4*w + 7]', '[1471, 1471, -4*w^3 - 5*w^2 + 13*w + 6]', '[1471, 1471, 7*w^3 + w^2 - 21*w - 2]', '[1471, 1471, -7*w^3 + 22*w - 7]', '[1471, 1471, 6*w^3 - 17*w + 6]', '[1475, 295, 5*w^3 - 3*w^2 - 16*w + 7]', '[1475, 295, -w^3 - 4*w^2 + 13]', '[1475, 295, 3*w^3 - 2*w^2 - 8*w + 12]', '[1475, 295, 4*w^3 - w^2 - 9*w + 6]', '[1499, 1499, -3*w^3 + 3*w^2 + 8*w - 12]', '[1499, 1499, 4*w^3 + w^2 - 9*w - 5]', '[1499, 1499, -7*w^3 - 3*w^2 + 22*w - 1]', '[1499, 1499, 7*w^3 + 4*w^2 - 24*w - 3]', '[1525, 305, 4*w^3 + w^2 - 15*w - 7]', '[1525, 305, -w^2 + 3*w - 6]', '[1525, 305, 3*w^3 + 3*w^2 - 8*w + 2]', '[1525, 305, -w^3 + 3*w^2 + 4*w - 15]', '[1531, 1531, 7*w^3 + 2*w^2 - 20*w - 2]', '[1531, 1531, 3*w^3 - 14*w + 1]', '[1531, 1531, 8*w^3 + w^2 - 26*w + 3]', '[1531, 1531, 3*w^3 + 5*w^2 - 9*w - 8]', '[1559, 1559, -5*w^3 + 18*w - 8]', '[1559, 1559, -8*w^3 - 3*w^2 + 26*w]', '[1559, 1559, -5*w^3 - 3*w^2 + 15*w + 9]', '[1559, 1559, -6*w^3 + 2*w^2 + 21*w - 6]', '[1611, 537, 13*w^3 + 2*w^2 - 45*w - 1]', '[1611, 537, -7*w^3 - 5*w^2 + 24*w + 10]', '[1611, 537, -2*w^3 - w^2 + 6*w + 8]', '[1611, 537, 7*w^3 - w^2 - 27*w + 8]', '[1619, 1619, 5*w^3 - 2*w^2 - 16*w + 3]', '[1619, 1619, -6*w^3 + 22*w - 7]', '[1619, 1619, 6*w^3 + 4*w^2 - 18*w - 9]', '[1619, 1619, -7*w^3 - w^2 + 23*w - 6]', '[1621, 1621, -3*w^3 - 2*w^2 + 8*w - 4]', '[1621, 1621, -2*w^3 + 2*w^2 + 7*w - 13]', '[1621, 1621, 4*w^3 + w^2 - 14*w - 7]', '[1621, 1621, 5*w^3 - w^2 - 14*w + 5]', '[1629, 543, -10*w^3 - 3*w^2 + 35*w + 2]', '[1629, 543, 6*w^3 + 2*w^2 - 22*w + 1]', '[1629, 543, -12*w^3 - 2*w^2 + 43*w - 1]', '[1629, 543, 7*w^3 - 26*w + 7]', '[1655, 1655, -4*w^3 + 9*w - 5]', '[1655, 1655, -4*w^3 - 4*w^2 + 16*w + 1]', '[1655, 1655, 4*w^3 + 4*w^2 - 15*w]', '[1655, 1655, -3*w^3 - 4*w^2 + 14*w]', '[1681, 41, -6*w^3 + 18*w - 5]', '[1681, 41, 6*w^3 - 18*w + 1]', '[1709, 1709, 3*w^3 + 5*w^2 - 7*w - 13]', '[1709, 1709, 5*w^3 - 3*w^2 - 18*w + 9]', '[1709, 1709, -5*w^3 - 3*w^2 + 12*w + 6]', '[1709, 1709, 8*w^3 + 3*w^2 - 27*w - 1]', '[1711, 1711, 2*w^3 + 7*w^2 - 4*w - 18]', '[1711, 1711, -3*w^3 + 2*w^2 + 10*w - 14]', '[1711, 1711, -7*w^3 + 2*w^2 + 23*w - 8]', '[1711, 1711, -3*w^3 - 3*w^2 + 10*w - 3]', '[1711, 1711, -2*w^3 + 5*w - 8]', '[1711, 1711, 2*w^3 + 5*w^2 - 6*w - 10]', '[1711, 1711, -4*w^3 - w^2 + 18*w - 3]', '[1711, 1711, 2*w^3 + 3*w^2 - 9]', '[1711, 1711, -5*w^3 + 2*w^2 + 13*w - 7]', '[1711, 1711, -w^3 + 5*w^2 + 8*w - 14]', '[1711, 1711, -7*w^3 + 2*w^2 + 23*w - 12]', '[1711, 1711, -6*w^3 + 2*w^2 + 18*w - 11]', '[1711, 1711, 2*w^3 + 6*w^2 - 5*w - 11]', '[1711, 1711, -3*w^3 + 3*w^2 + 14*w - 13]', '[1711, 1711, w^2 + 3*w - 11]', '[1711, 1711, w^3 + 6*w^2 - 6*w - 14]', '[1741, 1741, -4*w^3 - 5*w^2 + 14*w + 12]', '[1741, 1741, -2*w^3 + 2*w^2 + 11*w - 10]', '[1741, 1741, -3*w^3 - 5*w^2 + 11*w + 6]', '[1741, 1741, w^3 - 2*w^2 - 8*w + 3]', '[1769, 1769, -3*w^2 + 2*w + 11]', '[1769, 1769, 9*w^3 + 3*w^2 - 32*w - 2]', '[1769, 1769, -9*w^3 - 5*w^2 + 29*w + 11]', '[1769, 1769, 4*w^3 - 5*w^2 - 15*w + 15]', '[1769, 1769, 3*w^3 + 2*w^2 - 15*w + 5]', '[1769, 1769, -2*w^3 - 2*w^2 + 3*w + 9]', '[1769, 1769, -4*w^3 - 2*w^2 + 7*w - 1]', '[1769, 1769, 7*w^3 - 2*w^2 - 26*w + 14]', '[1769, 1769, 3*w^3 + 6*w^2 - 7*w - 6]', '[1769, 1769, -w^3 - 6*w^2 + w + 20]', '[1769, 1769, -5*w^3 - 2*w^2 + 21*w + 7]', '[1769, 1769, 3*w^3 - 2*w^2 - 12*w + 2]', '[1769, 1769, w^3 - 3*w^2 + 2*w + 5]', '[1769, 1769, -5*w^3 - 3*w^2 + 17*w - 1]', '[1769, 1769, 2*w^3 - 5*w^2 - 4*w + 7]', '[1769, 1769, 6*w^3 + 5*w^2 - 15*w - 8]', '[1795, 1795, -5*w^3 - 4*w^2 + 14*w - 2]', '[1795, 1795, -6*w^3 + 16*w - 5]', '[1795, 1795, -w^3 - w^2 + 9*w - 1]', '[1795, 1795, -2*w^3 - 6*w^2 + 11*w + 5]', '[1801, 1801, -2*w^3 - w^2 + 7*w - 6]', '[1801, 1801, -7*w^3 - 2*w^2 + 20*w - 1]', '[1801, 1801, 6*w^3 - 2*w^2 - 19*w + 10]', '[1801, 1801, -w^3 + 2*w^2 + 8*w - 9]', '[1805, 95, w^3 - 4*w^2 - 2*w + 3]', '[1805, 95, -4*w^3 - w^2 + 8*w + 5]', '[1829, 1829, 3*w^3 + 4*w^2 - 6*w - 10]', '[1829, 1829, 3*w^3 + 6*w^2 - 8*w - 18]', '[1829, 1829, -w^3 - 6*w^2 - 2*w + 10]', '[1829, 1829, 2*w^3 - 7*w^2 - 7*w + 16]', '[1829, 1829, 4*w^3 + w^2 - 5*w - 6]', '[1829, 1829, 3*w^3 - 7*w^2 - 8*w + 21]', '[1829, 1829, 7*w^3 - 4*w^2 - 26*w + 23]', '[1829, 1829, 2*w^3 + 3*w^2 - 3*w - 10]', '[1829, 1829, -3*w^3 - 3*w^2 + 16*w - 3]', '[1829, 1829, -4*w^3 - 7*w^2 + 9*w + 8]', '[1829, 1829, -3*w^3 + 2*w^2 + 6*w - 7]', '[1829, 1829, -9*w^3 - w^2 + 34*w - 5]', '[1829, 1829, -w^3 - 3*w^2 + 6*w + 9]', '[1829, 1829, -w^3 + 4*w^2 + 2*w - 15]', '[1829, 1829, 7*w^3 + 2*w^2 - 22*w + 5]', '[1829, 1829, 5*w^3 - 8*w^2 - 20*w + 26]', '[1831, 1831, 8*w^3 + 2*w^2 - 25*w]', '[1831, 1831, 5*w^3 - 2*w^2 - 14*w + 7]', '[1831, 1831, 6*w^3 + w^2 - 16*w]', '[1831, 1831, -7*w^3 + w^2 + 23*w - 6]', '[1861, 1861, 8*w^3 + w^2 - 26*w + 2]', '[1861, 1861, 7*w^3 + 2*w^2 - 20*w - 1]', '[1861, 1861, 6*w^3 - 2*w^2 - 19*w + 8]', '[1861, 1861, 5*w^3 + 5*w^2 - 16*w - 9]', '[1889, 1889, w^3 + 3*w^2 - 13]', '[1889, 1889, -7*w^3 - w^2 + 25*w - 4]', '[1889, 1889, -3*w^3 + 4*w^2 + 10*w - 9]', '[1889, 1889, -4*w^3 - 3*w^2 + 15*w - 2]', '[1891, 1891, 5*w^3 + 7*w^2 - 16*w - 6]', '[1891, 1891, -14*w^3 - 7*w^2 + 49*w + 15]', '[1891, 1891, -w^3 - 5*w^2 + 4*w + 11]', '[1891, 1891, -4*w^3 + w^2 + 19*w + 1]', '[1891, 1891, -4*w^3 + w^2 + 17*w - 5]', '[1891, 1891, -2*w^3 - 5*w^2 + 9*w + 10]', '[1891, 1891, -6*w^3 - 5*w^2 + 21*w + 7]', '[1891, 1891, w^2 + 5*w - 4]', '[1891, 1891, -2*w^3 + w^2 + 13*w - 12]', '[1891, 1891, 5*w^3 + 5*w^2 - 16*w - 8]', '[1891, 1891, -7*w^3 - 7*w^2 + 14*w + 6]', '[1891, 1891, -w^3 - 3*w^2 - 2*w + 8]', '[1891, 1891, -3*w^3 - 7*w^2 + 10*w + 21]', '[1891, 1891, -3*w^3 + 3*w^2 + 14*w - 9]', '[1891, 1891, -7*w^2 + 7*w + 6]', '[1891, 1891, -7*w^3 + 7*w^2 + 28*w - 29]', '[1899, 633, -6*w^3 - 5*w^2 + 19*w + 14]', '[1899, 633, 7*w^3 - w^2 - 24*w + 2]', '[1899, 633, -10*w^3 + 35*w - 1]', '[1899, 633, -5*w^3 - 4*w^2 + 15*w + 11]', '[1936, 22, -2*w^3 + 6*w + 6]', '[1936, 22, 6*w^3 - 18*w + 2]', '[1945, 1945, -5*w^3 + w^2 + 13*w - 3]', '[1945, 1945, w^3 + 5*w^2 - 5*w - 9]', '[1945, 1945, 2*w^3 + 4*w^2 - 10*w + 3]', '[1945, 1945, -7*w^3 - 2*w^2 + 20*w]', '[1949, 1949, -6*w^3 - 4*w^2 + 21*w + 2]', '[1949, 1949, -7*w^3 - 2*w^2 + 23*w - 3]', '[1949, 1949, -w^3 - 4*w^2 + 6*w + 11]', '[1949, 1949, -3*w^3 + 2*w^2 + 7*w - 9]', '[1951, 1951, 6*w^3 + 5*w^2 - 20*w - 8]', '[1951, 1951, w^3 + 5*w^2 - 5*w - 10]', '[1951, 1951, w^3 + 2*w^2 + 2*w - 5]', '[1951, 1951, 4*w^3 - 2*w^2 - 17*w + 8]', '[1979, 1979, -3*w^3 - 4*w^2 + 7*w + 11]', '[1979, 1979, 5*w^3 + 2*w^2 - 19*w + 2]', '[1979, 1979, -6*w^3 - 2*w^2 + 20*w - 3]', '[1979, 1979, w^3 - 4*w^2 - 5*w + 7]', '[2000, 10, 6*w^3 - 2*w^2 - 22*w + 6]', '[2011, 2011, -w^3 + w^2 + 4*w - 10]', '[2011, 2011, 6*w^3 - 17*w + 5]', '[2011, 2011, 7*w^3 + w^2 - 21*w - 1]', '[2011, 2011, -7*w^3 + 22*w - 6]', '[2025, 15, 6*w^3 - 18*w + 3]', '[2039, 2039, 2*w^3 + 2*w^2 - 3*w - 10]', '[2039, 2039, 3*w^2 - 2*w - 12]', '[2039, 2039, -5*w^3 - 3*w^2 + 17*w - 2]', '[2039, 2039, 3*w^3 - 2*w^2 - 12*w + 1]', '[2069, 2069, -7*w^3 - w^2 + 24*w - 5]', '[2069, 2069, 6*w^3 + 3*w^2 - 17*w - 7]', '[2069, 2069, w^3 + 4*w^2 - 14]', '[2069, 2069, 4*w^3 + 3*w^2 - 16*w + 1]', '[2095, 2095, 2*w^3 + 5*w^2 - 9*w - 7]', '[2095, 2095, 3*w^3 + 3*w^2 - 11*w + 4]', '[2095, 2095, 7*w^3 + 2*w^2 - 19*w + 1]', '[2095, 2095, 5*w^3 + 7*w^2 - 15*w - 7]', '[2099, 2099, 6*w^3 + w^2 - 20*w + 7]', '[2099, 2099, -3*w^3 + w^2 + 7*w - 9]', '[2099, 2099, -4*w^3 + 2*w^2 + 13*w - 1]', '[2099, 2099, 5*w^3 + 2*w^2 - 14*w - 8]', '[2105, 2105, -3*w^3 - 3*w^2 + 4*w + 9]', '[2105, 2105, -4*w^2 - w + 3]', '[2105, 2105, -w^3 + 4*w^2 + 4*w - 6]', '[2105, 2105, -5*w^3 + 9*w + 4]', '[2129, 2129, 5*w^3 + 3*w^2 - 19*w]', '[2129, 2129, 6*w^3 + w^2 - 21*w + 5]', '[2129, 2129, w^3 - 4*w^2 - 6*w + 7]', '[2129, 2129, 2*w^3 + 4*w^2 - 3*w - 12]', '[2131, 2131, 2*w^3 + 5*w^2 - 7*w - 9]', '[2131, 2131, -w^3 + w^2 + 8*w - 3]', '[2131, 2131, 3*w^3 - w^2 - 14*w + 6]', '[2131, 2131, 4*w^3 + 5*w^2 - 13*w - 10]', '[2151, 717, -5*w^3 - 8*w^2 + 17*w + 24]', '[2151, 717, -14*w^3 - 5*w^2 + 50*w + 15]', '[2151, 717, -7*w^3 + 2*w^2 + 22*w - 6]', '[2151, 717, -2*w^3 + w^2 + 11*w - 3]', '[2161, 2161, -4*w^3 - w^2 + 18*w - 2]', '[2161, 2161, 3*w^3 + 6*w^2 - 8*w - 13]', '[2161, 2161, 2*w^3 + 6*w^2 - 5*w - 12]', '[2161, 2161, -3*w^3 - w^2 + 15*w]', '[2169, 723, -16*w^3 - 5*w^2 + 57*w + 7]', '[2169, 723, 5*w^3 + 7*w^2 - 15*w - 20]', '[2169, 723, -14*w^3 - w^2 + 48*w + 2]', '[2169, 723, -17*w^3 - 5*w^2 + 62*w + 6]', '[2221, 2221, 6*w^3 + 5*w^2 - 21*w - 8]', '[2221, 2221, -4*w^3 - 5*w^2 + 14*w + 11]', '[2221, 2221, -2*w^3 + 2*w^2 + 11*w - 9]', '[2221, 2221, -3*w^3 - 5*w^2 + 11*w + 7]', '[2225, 445, w^3 - 5*w^2 - 3*w + 8]', '[2225, 445, 6*w^3 - 23*w + 8]', '[2225, 445, w^3 + 2*w + 3]', '[2225, 445, -6*w^3 - 5*w^2 + 18*w + 12]', '[2245, 2245, w^3 - w^2 - 8*w + 4]', '[2245, 2245, -5*w^3 + 2*w^2 + 12*w - 5]', '[2245, 2245, -3*w^3 - 7*w^2 + 12*w + 6]', '[2245, 2245, -3*w^3 - 4*w^2 + 8*w - 1]', '[2251, 2251, -3*w^3 + 2*w^2 + 14*w - 9]', '[2251, 2251, 5*w^3 + 5*w^2 - 18*w - 7]', '[2251, 2251, 5*w^3 + 5*w^2 - 17*w - 10]', '[2251, 2251, -2*w^3 - 5*w^2 + 8*w + 8]', '[2281, 2281, 3*w^3 + 5*w^2 - 11*w - 11]', '[2281, 2281, -4*w^3 - 5*w^2 + 14*w + 7]', '[2281, 2281, 6*w^3 + 5*w^2 - 21*w - 9]', '[2281, 2281, w^3 - 2*w^2 - 8*w + 8]', '[2304, 12, 4*w^3 + 4*w^2 - 16*w - 12]', '[2309, 2309, 3*w^3 + 3*w^2 - 7*w - 10]', '[2309, 2309, -2*w^3 + 3*w^2 + 8*w - 4]', '[2309, 2309, -5*w^3 - 2*w^2 + 18*w - 3]', '[2309, 2309, 2*w^2 - 3*w - 8]', '[2311, 2311, -7*w^3 - w^2 + 21*w - 3]', '[2311, 2311, 6*w^3 - 17*w + 1]', '[2311, 2311, -w^3 + w^2 + 3*w - 10]', '[2311, 2311, -6*w^3 + w^2 + 18*w - 7]', '[2320, 290, 2*w^2 - 12]', '[2320, 290, -2*w^3 + 8*w + 6]', '[2320, 290, 2*w^3 + 2*w^2 - 6*w + 4]', '[2320, 290, 2*w - 8]', '[2339, 2339, -w^3 + 3*w^2 + w - 11]', '[2339, 2339, -w^3 - 2*w^2 + 8*w + 5]', '[2339, 2339, w^3 - 5*w^2 - 5*w + 10]', '[2339, 2339, 4*w^3 + 5*w^2 - 10*w - 12]', '[2341, 2341, 3*w^3 + 6*w^2 - 8*w - 12]', '[2341, 2341, 2*w^3 + 6*w^2 - 5*w - 13]', '[2341, 2341, -3*w^3 - w^2 + 15*w - 1]', '[2341, 2341, 4*w^3 + w^2 - 18*w + 1]', '[2349, 87, 3*w^3 + 3*w^2 - 6*w - 9]', '[2349, 87, 3*w^2 - 3*w - 9]', '[2349, 87, -3*w^3 + 3*w^2 + 12*w - 6]', '[2349, 87, -6*w^3 - 3*w^2 + 21*w]', '[2371, 2371, 2*w^3 - 3*w^2 - 11*w + 11]', '[2371, 2371, 5*w^3 + 5*w^2 - 18*w - 10]', '[2371, 2371, 3*w^3 + 5*w^2 - 12*w - 7]', '[2371, 2371, -5*w^3 - 5*w^2 + 17*w + 8]', '[2384, 298, 6*w^3 + 4*w^2 - 18*w - 10]', '[2384, 298, 2*w^3 + 4*w^2 - 4*w - 14]', '[2384, 298, 2*w^3 + 2*w^2 - 10*w - 8]', '[2384, 298, -6*w^3 + 22*w - 8]', '[2395, 2395, 4*w^3 + 5*w^2 - 13*w + 1]', '[2395, 2395, w^3 + w^2 + 3*w - 2]', '[2395, 2395, -6*w^3 + 17*w - 4]', '[2395, 2395, w^3 + 6*w^2 - 7*w - 7]', '[2399, 2399, -w^3 + 4*w^2 + 3*w - 4]', '[2399, 2399, -5*w^3 + 19*w - 9]', '[2399, 2399, -w^3 - w - 5]', '[2399, 2399, -5*w^3 - 4*w^2 + 15*w + 12]', '[2401, 7, -7]', '[2416, 302, 6*w^3 - 2*w^2 - 18*w + 6]', '[2416, 302, 6*w^3 - 16*w + 4]', '[2416, 302, 8*w^3 + 2*w^2 - 24*w - 2]', '[2416, 302, -8*w^3 + 26*w - 6]', '[2421, 807, 5*w^3 + 5*w^2 - 17*w - 9]', '[2421, 807, 6*w^3 + 7*w^2 - 20*w - 19]', '[2421, 807, 12*w^3 + 8*w^2 - 43*w - 20]', '[2421, 807, -16*w^3 - 4*w^2 + 55*w + 6]', '[2439, 813, -15*w^3 - 4*w^2 + 53*w + 4]', '[2439, 813, 10*w^3 + 7*w^2 - 37*w - 18]', '[2439, 813, -8*w^3 - 3*w^2 + 28*w + 1]', '[2439, 813, -6*w^3 - w^2 + 23*w - 5]', '[2459, 2459, -3*w^3 + 2*w^2 + 5*w - 6]', '[2459, 2459, 5*w^3 - 4*w^2 - 17*w + 11]', '[2459, 2459, 7*w^3 - 24*w + 9]', '[2459, 2459, -9*w^3 - 2*w^2 + 31*w - 2]', '[2480, 310, -6*w^3 - 2*w^2 + 22*w - 2]', '[2480, 310, 2*w^3 - 4*w^2 - 8*w + 8]', '[2480, 310, 4*w^3 + 4*w^2 - 10*w - 10]', '[2480, 310, -2*w^2 + 4*w + 6]', '[2511, 93, 6*w - 3]', '[2511, 93, -6*w^2 + 15]', '[2511, 93, -6*w^3 - 6*w^2 + 18*w + 9]', '[2511, 93, -6*w^3 + 24*w - 3]', '[2521, 2521, 8*w^3 + w^2 - 25*w - 1]', '[2521, 2521, -5*w^3 + w^2 + 21*w - 3]', '[2521, 2521, 7*w^3 - 20*w - 1]', '[2521, 2521, -7*w^3 + w^2 + 22*w - 9]', '[2545, 2545, 3*w^3 + 5*w^2 - 11*w - 8]', '[2545, 2545, -8*w^3 - 3*w^2 + 21*w + 1]', '[2545, 2545, -2*w^3 - 2*w^2 + 9*w - 6]', '[2545, 2545, 3*w^3 - w - 3]', '[2549, 2549, 2*w^3 + 5*w^2 - 4*w - 16]', '[2549, 2549, 7*w^3 + 4*w^2 - 22*w - 11]', '[2549, 2549, 3*w^3 + 2*w^2 - 14*w - 7]', '[2549, 2549, -6*w^3 + w^2 + 22*w - 12]', '[2551, 2551, 6*w^3 - w^2 - 18*w + 6]', '[2551, 2551, 4*w^3 + w^2 - 11*w + 8]', '[2551, 2551, -3*w^3 - w^2 + 9*w - 7]', '[2551, 2551, 5*w^3 + w^2 - 16*w - 8]', '[2579, 2579, w^3 + 4*w^2 - 15]', '[2579, 2579, 4*w^3 + 3*w^2 - 16*w + 2]', '[2579, 2579, -3*w^3 - 4*w^2 + 13*w + 11]', '[2579, 2579, w^3 + 4*w^2 + w - 14]', '[2581, 2581, -3*w^2 - 2*w - 2]', '[2581, 2581, -7*w^3 + w^2 + 22*w - 4]', '[2581, 2581, -6*w^3 + w^2 + 24*w - 5]', '[2581, 2581, 2*w^3 + 2*w^2 - 3]', '[2581, 2581, 6*w^2 - 2*w - 11]', '[2581, 2581, 2*w^3 + 2*w^2 - 9*w - 12]', '[2581, 2581, 6*w^2 - w - 15]', '[2581, 2581, -6*w^3 + w^2 + 17*w - 7]', '[2581, 2581, 8*w^3 + 6*w^2 - 26*w - 11]', '[2581, 2581, w^3 + w^2 + 3*w - 5]', '[2581, 2581, -8*w^3 - w^2 + 25*w - 4]', '[2581, 2581, -3*w^3 - 2*w^2 + 12*w - 7]', '[2581, 2581, -7*w^3 - w^2 + 20*w + 1]', '[2581, 2581, w^3 + 3*w^2 - w - 16]', '[2581, 2581, 7*w^3 + 6*w^2 - 22*w - 8]', '[2581, 2581, -6*w^3 + 2*w^2 + 24*w - 11]', '[2609, 2609, 7*w^3 + 2*w^2 - 19*w - 6]', '[2609, 2609, -5*w^3 + 2*w^2 + 13*w - 11]', '[2609, 2609, -7*w^3 + 2*w^2 + 23*w - 4]', '[2609, 2609, -9*w^3 - 2*w^2 + 29*w - 5]', '[2655, 885, 7*w^3 - w^2 - 24*w + 14]', '[2655, 885, w^3 - 5*w^2 - w + 15]', '[2655, 885, 2*w^3 - 7*w^2 - 11*w + 18]', '[2655, 885, -w^3 - 7*w^2 + w + 12]', '[2671, 2671, 4*w^3 + 5*w^2 - 15*w - 8]', '[2671, 2671, -w^3 + 3*w^2 + 8*w - 9]', '[2671, 2671, 4*w^3 + 5*w^2 - 15*w - 9]', '[2671, 2671, -w^3 + 3*w^2 + 8*w - 8]', '[2699, 2699, 7*w^3 - w^2 - 25*w + 2]', '[2699, 2699, -9*w^3 - 4*w^2 + 31*w + 3]', '[2699, 2699, -5*w^3 + 4*w^2 + 19*w - 12]', '[2699, 2699, -5*w^3 - 4*w^2 + 11*w + 8]', '[2705, 2705, 3*w^3 + w^2 - 4*w - 7]', '[2705, 2705, 5*w^3 + 2*w^2 - 9*w - 6]', '[2705, 2705, -4*w^3 - 3*w^2 + 9*w + 8]', '[2705, 2705, -6*w^3 - 3*w^2 + 14*w + 6]', '[2729, 2729, 3*w^3 - 2*w^2 - 7*w + 10]', '[2729, 2729, -7*w^3 - 5*w^2 + 24*w + 3]', '[2729, 2729, w^3 + 5*w^2 - 6*w - 14]', '[2729, 2729, -7*w^3 - 2*w^2 + 23*w - 4]', '[2731, 2731, 3*w^3 - 11*w - 6]', '[2731, 2731, -w^3 + 2*w^2 + 3*w - 13]', '[2731, 2731, 6*w^3 - 2*w^2 - 18*w + 9]', '[2731, 2731, 6*w^3 - 16*w + 1]', '[2745, 915, -4*w^3 - 5*w^2 + 6*w + 7]', '[2745, 915, -w^3 + w^2 + 9*w - 8]', '[2745, 915, -5*w^3 + 5*w^2 + 21*w - 19]', '[2745, 915, -4*w^3 + w^2 + 18*w - 2]', '[2759, 2759, -4*w^3 + 4*w^2 + 11*w - 6]', '[2759, 2759, 9*w^3 + 4*w^2 - 28*w - 9]', '[2759, 2759, 5*w^3 + w^2 - 11*w + 4]', '[2759, 2759, w^3 - 4*w^2 - 4*w + 5]', '[2759, 2759, 12*w^3 + 5*w^2 - 38*w - 2]', '[2759, 2759, -4*w^3 - 4*w^2 + 11*w + 12]', '[2759, 2759, -5*w^3 - w^2 + 19*w - 6]', '[2759, 2759, 5*w^3 - 5*w^2 - 13*w + 16]', '[2759, 2759, 8*w^3 + 5*w^2 - 30*w - 16]', '[2759, 2759, 8*w^3 - w^2 - 28*w + 12]', '[2759, 2759, 7*w^3 + 2*w^2 - 16*w - 5]', '[2759, 2759, -10*w^3 + 2*w^2 + 35*w - 8]', '[2759, 2759, 2*w^3 - 6*w^2 - 11*w + 26]', '[2759, 2759, -3*w^3 - 5*w^2 + 15*w - 2]', '[2759, 2759, w^2 - 4*w - 6]', '[2759, 2759, -3*w^3 - 6*w^2 + 4*w + 3]', '[2789, 2789, 3*w^3 + 4*w^2 - 6*w - 11]', '[2789, 2789, 6*w^3 + 3*w^2 - 22*w]', '[2789, 2789, -2*w^3 + 4*w^2 + 9*w - 8]', '[2789, 2789, -6*w^3 - w^2 + 21*w - 6]', '[2791, 2791, 6*w^3 - 2*w^2 - 18*w + 7]', '[2791, 2791, 7*w^3 + 6*w^2 - 22*w - 10]', '[2791, 2791, -6*w^3 + w^2 + 24*w - 7]', '[2791, 2791, 8*w^3 - 26*w + 5]', '[2819, 2819, -w^3 + w^2 - 3*w - 3]', '[2819, 2819, -2*w^3 + 6*w^2 + 7*w - 13]', '[2819, 2819, -8*w^3 - w^2 + 30*w - 5]', '[2819, 2819, -7*w^3 - 6*w^2 + 20*w + 12]', '[2845, 2845, 3*w^3 + 6*w^2 - 10*w - 8]', '[2845, 2845, 4*w^3 + 3*w^2 - 12*w + 4]', '[2845, 2845, -7*w^3 - w^2 + 18*w - 3]', '[2845, 2845, -3*w^3 - 6*w^2 + 13*w + 6]', '[2851, 2851, 3*w^3 + 6*w^2 - 11*w - 7]', '[2851, 2851, 6*w^2 - w - 14]', '[2851, 2851, -5*w^3 - 6*w^2 + 17*w + 15]', '[2851, 2851, 3*w^3 - 2*w^2 - 15*w + 12]', '[2855, 2855, 4*w^3 + 3*w^2 - 10*w - 9]', '[2855, 2855, w^2 - 7*w - 3]', '[2855, 2855, -6*w^3 - 2*w^2 + 21*w - 3]', '[2855, 2855, -7*w^3 - w^2 + 23*w - 8]', '[2864, 358, -8*w^3 - 2*w^2 + 28*w - 2]', '[2864, 358, 6*w^3 + 4*w^2 - 16*w - 8]', '[2864, 358, -2*w^3 + 2*w^2 + 2*w - 6]', '[2864, 358, -4*w^3 + 4*w^2 + 14*w - 10]', '[2879, 2879, 8*w^3 + 3*w^2 - 23*w - 7]', '[2879, 2879, 6*w^3 - 3*w^2 - 19*w + 6]', '[2879, 2879, 4*w^3 + 3*w^2 - 16*w + 3]', '[2879, 2879, -9*w^3 - w^2 + 30*w - 7]', '[2896, 362, 8*w^3 + 2*w^2 - 24*w]', '[2896, 362, -6*w^3 + 16*w - 2]', '[2896, 362, 8*w^3 - 26*w + 4]', '[2896, 362, -6*w^3 + 2*w^2 + 18*w - 8]', '[2909, 2909, 2*w^3 - 5*w^2 - 8*w + 11]', '[2909, 2909, -7*w^3 - 2*w^2 + 26*w - 2]', '[2909, 2909, 4*w^3 - 2*w^2 - 15*w + 2]', '[2909, 2909, -6*w^3 - 3*w^2 + 20*w - 2]', '[2939, 2939, -7*w^3 + w^2 + 25*w - 12]', '[2939, 2939, 4*w^3 + 3*w^2 - 17*w + 2]', '[2939, 2939, 4*w^3 + w^2 - 8*w + 4]', '[2939, 2939, 4*w^3 + 3*w^2 - 17*w - 9]', '[2969, 2969, 6*w^3 + 3*w^2 - 17*w - 8]', '[2969, 2969, -5*w^3 - 3*w^2 + 19*w - 1]', '[2969, 2969, -7*w^3 - w^2 + 24*w - 6]', '[2969, 2969, -4*w^3 + 3*w^2 + 13*w - 5]', '[2971, 2971, -6*w^3 + 2*w^2 + 17*w - 9]', '[2971, 2971, w^3 - 3*w^2 - 4*w + 16]', '[2971, 2971, 4*w^3 + w^2 - 15*w - 8]', '[2971, 2971, 7*w^3 + w^2 - 19*w - 1]', '[2979, 993, 7*w^3 - 3*w^2 - 26*w + 10]', '[2979, 993, 7*w^3 + 4*w^2 - 22*w - 12]', '[2979, 993, -9*w^3 - 4*w^2 + 29*w + 13]', '[2979, 993, -12*w^3 - 5*w^2 + 40*w + 14]', '[2995, 2995, 2*w^2 - 3*w + 5]', '[2995, 2995, -7*w^3 - w^2 + 17*w + 1]', '[2995, 2995, -3*w^3 - 2*w^2 + 2*w + 6]', '[2995, 2995, 4*w^3 + 6*w^2 - 12*w - 9]', '[2999, 2999, -8*w^3 + 27*w - 10]', '[2999, 2999, 5*w^3 - 12*w + 7]', '[2999, 2999, 5*w^3 - 3*w^2 - 15*w + 4]', '[2999, 2999, -8*w^3 + 29*w - 8]', '[3001, 3001, 8*w^3 + w^2 - 25*w]', '[3001, 3001, 7*w^3 - w^2 - 22*w + 8]', '[3001, 3001, -2*w^3 - 6*w^2 + 8*w + 15]', '[3001, 3001, -4*w^3 + 2*w^2 + 18*w - 5]', '[3005, 3005, -5*w^3 - 4*w^2 + 18*w - 3]', '[3005, 3005, 3*w^3 - w^2 - 2*w + 2]', '[3005, 3005, -7*w^3 - 4*w^2 + 22*w - 1]', '[3005, 3005, w^3 - 3*w^2 + 2*w + 6]', '[3025, 55, w^3 - 3*w - 7]', '[3025, 55, -7*w^3 + 21*w - 1]', '[3061, 3061, -2*w^3 + 2*w^2 + 7*w - 14]', '[3061, 3061, 6*w^3 - w^2 - 17*w + 6]', '[3061, 3061, -5*w^3 + w^2 + 21*w - 8]', '[3061, 3061, 4*w^3 + w^2 - 14*w - 8]', '[3089, 3089, -5*w^3 - 3*w^2 + 11*w + 7]', '[3089, 3089, 3*w^3 + 2*w^2 - 15*w - 6]', '[3089, 3089, 3*w^3 + 6*w^2 - 7*w - 17]', '[3089, 3089, 9*w^3 + 4*w^2 - 30*w - 2]', '[3119, 3119, -3*w^3 - 3*w^2 + 14*w + 8]', '[3119, 3119, -5*w^3 + 2*w^2 + 20*w - 3]', '[3119, 3119, 5*w^2 - 2*w - 16]', '[3119, 3119, -7*w^3 - 5*w^2 + 23*w + 2]', '[3121, 3121, 5*w^3 - 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6*w^2 + 10*w + 9]', '[4201, 4201, w^3 + 2*w^2 + 4*w - 9]', '[4201, 4201, w^3 + w^2 + 4*w - 2]', '[4201, 4201, w^3 + 7*w^2 - 5*w - 18]', '[4201, 4201, -7*w^2 + w + 14]', '[4205, 145, 2*w^3 - 2*w^2 - 2*w + 7]', '[4205, 145, w^3 - 5*w^2 - 2*w + 4]', '[4205, 145, -4*w^3 + 4*w^2 + 14*w - 9]', '[4205, 145, -6*w^3 - 4*w^2 + 16*w + 9]', '[4205, 145, -w^3 - 6*w^2 + 2*w + 7]', '[4205, 145, -8*w^3 - 2*w^2 + 28*w - 3]', '[4205, 4205, -3*w^3 + 2*w^2 + 6*w - 9]', '[4205, 4205, -6*w^3 - 3*w^2 + 16*w + 8]', '[4205, 4205, 8*w^3 + 2*w^2 - 27*w + 4]', '[4205, 4205, -5*w^3 + 3*w^2 + 17*w - 6]', '[4229, 4229, -8*w^3 - 3*w^2 + 29*w]', '[4229, 4229, 8*w^3 - 30*w + 9]', '[4229, 4229, 8*w^3 + 6*w^2 - 24*w - 13]', '[4229, 4229, -3*w^3 + 5*w^2 + 12*w - 12]', '[4231, 4231, 5*w^3 + 7*w^2 - 14*w - 12]', '[4231, 4231, -2*w^3 + 5*w^2 + 12*w - 14]', '[4231, 4231, 11*w^3 + 3*w^2 - 35*w - 1]', '[4231, 4231, 8*w^3 + 2*w^2 - 21*w - 1]', '[4259, 4259, -3*w^3 + 5*w^2 + 8*w - 18]', '[4259, 4259, 8*w^3 - w^2 - 29*w + 2]', '[4259, 4259, 9*w^3 + 5*w^2 - 28*w - 1]', '[4259, 4259, 9*w^3 + 4*w^2 - 31*w - 2]', '[4261, 4261, -8*w^3 + 2*w^2 + 26*w - 11]', '[4261, 4261, 7*w^3 + 6*w^2 - 24*w - 12]', '[4261, 4261, 10*w^3 + 2*w^2 - 32*w - 1]', '[4261, 4261, -4*w^3 + 3*w^2 + 18*w - 13]', '[4289, 4289, -7*w^3 - 3*w^2 + 23*w - 3]', '[4289, 4289, -5*w^3 - 5*w^2 + 13*w + 12]', '[4289, 4289, w^3 + 2*w^2 - 7*w - 11]', '[4289, 4289, 7*w^3 + 2*w^2 - 26*w + 3]', '[4304, 538, -6*w^3 - 4*w^2 + 14*w + 8]', '[4304, 538, -4*w^3 - 6*w^2 + 10*w + 16]', '[4304, 538, -6*w^3 - 4*w^2 + 18*w + 14]', '[4304, 538, 10*w^3 + 4*w^2 - 34*w - 2]', '[4311, 1437, -7*w^3 - 8*w^2 + 24*w + 22]', '[4311, 1437, -4*w^3 + w^2 + 18*w - 5]', '[4311, 1437, 10*w^3 - w^2 - 33*w + 5]', '[4311, 1437, -11*w^3 - 4*w^2 + 39*w + 14]', '[4321, 4321, -w - 8]', '[4321, 4321, -4*w^3 + w^2 + 18*w - 6]', '[4321, 4321, -3*w^3 + 3*w^2 + 15*w - 13]', '[4321, 4321, -6*w^3 + w^2 + 25*w - 3]', '[4321, 4321, -2*w^3 + 2*w^2 + 8*w - 15]', '[4321, 4321, -11*w^3 - 2*w^2 + 36*w - 1]', '[4321, 4321, 2*w^3 + 7*w^2 - 6*w - 19]', '[4321, 4321, -9*w^3 + 2*w^2 + 30*w - 12]', '[4321, 4321, 4*w^3 + 2*w^2 - 14*w - 11]', '[4321, 4321, -11*w^3 - 3*w^2 + 35*w + 3]', '[4321, 4321, 6*w^3 + 6*w^2 - 21*w - 13]', '[4321, 4321, 5*w^3 + 6*w^2 - 16*w - 11]', '[4321, 4321, -8*w^3 + 3*w^2 + 26*w - 12]', '[4321, 4321, -5*w^3 + 22*w]', '[4321, 4321, w^3 + 7*w^2 - 4*w - 19]', '[4321, 4321, w^3 + w^2 - 3*w - 10]', '[4336, 542, 10*w^3 + 2*w^2 - 32*w]', '[4336, 542, -4*w^3 - 2*w^2 + 12*w + 12]', '[4336, 542, 8*w^3 + 2*w^2 - 22*w]', '[4336, 542, 6*w^3 - 2*w^2 - 16*w + 6]', '[4349, 4349, -9*w^3 - 5*w^2 + 32*w + 4]', '[4349, 4349, -4*w^3 - 5*w^2 + 7*w + 12]', '[4349, 4349, -6*w^3 + 23*w - 10]', '[4349, 4349, -6*w^3 - 5*w^2 + 18*w + 14]', '[4379, 4379, -9*w^3 - 5*w^2 + 27*w + 10]', '[4379, 4379, 4*w^3 - 7*w + 4]', '[4379, 4379, -w^3 - 7*w^2 + 2*w + 10]', '[4379, 4379, w^3 + 2*w^2 - 7*w - 10]', '[4379, 4379, -3*w^3 + 5*w^2 + 13*w - 12]', '[4379, 4379, 5*w^3 + 2*w^2 - 19*w + 6]', '[4379, 4379, -w^3 - 4*w^2 + 8*w + 9]', '[4379, 4379, -4*w^3 - 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2*w + 7]', '[4495, 4495, 3*w^3 + 6*w^2 - 10*w - 13]', '[4495, 4495, 3*w^3 - w^2 - 15*w + 4]', '[4495, 4495, -2*w^3 + w^2 + 12*w - 6]', '[4495, 4495, 2*w^3 + 2*w^2 - 5*w + 5]', '[4495, 4495, 3*w^3 - 2*w^2 - 15*w + 10]', '[4495, 4495, -w^3 + 2*w^2 + 4*w - 14]', '[4495, 4495, -3*w^3 - 6*w^2 + 11*w + 9]', '[4495, 4495, 7*w^3 - w^2 - 21*w + 7]', '[4495, 4495, 3*w^3 + w^2 - 11*w - 9]', '[4495, 4495, -w^3 + 2*w^2 + 9*w - 4]', '[4495, 4495, 8*w^3 - 25*w + 3]', '[4495, 4495, 5*w^3 + 6*w^2 - 17*w - 13]', '[4495, 4495, -4*w^3 - 6*w^2 + 13*w + 10]', '[4495, 4495, -8*w^3 - w^2 + 24*w - 3]', '[4495, 4495, -7*w^3 + 20*w - 2]', '[4525, 905, -w^2 - 2*w - 6]', '[4525, 905, w^3 + 2*w^2 - 4*w + 5]', '[4525, 905, 2*w^3 + 2*w^2 - 7*w - 12]', '[4525, 905, w^3 - w^2 - 5*w + 12]', '[4561, 4561, -7*w^3 - 7*w^2 + 21*w + 10]', '[4561, 4561, -3*w^3 + 12*w + 7]', '[4561, 4561, 7*w^3 - 28*w + 3]', '[4561, 4561, 7*w^3 - 18*w]', '[4581, 1527, -10*w^3 - 7*w^2 + 34*w + 15]', '[4581, 1527, -4*w^3 - w^2 + 13*w + 9]', '[4581, 1527, 7*w^3 - 2*w^2 - 28*w + 12]', '[4581, 1527, 17*w^3 + 2*w^2 - 59*w]', '[4591, 4591, 5*w^3 + w^2 - 22*w + 1]', '[4591, 4591, 4*w^3 + 7*w^2 - 11*w - 13]', '[4591, 4591, 2*w^3 + 7*w^2 - 5*w - 16]', '[4591, 4591, -3*w^3 - w^2 + 16*w - 2]', '[4619, 4619, 3*w^3 - 4*w^2 - 13*w + 8]', '[4619, 4619, -5*w^3 - 2*w^2 + 20*w - 5]', '[4619, 4619, -7*w^3 - 4*w^2 + 25*w + 1]', '[4619, 4619, -11*w^3 + 40*w - 9]', '[4619, 4619, -15*w^3 - 4*w^2 + 53*w + 3]', '[4619, 4619, -3*w^3 + 3*w^2 + 11*w - 2]', '[4619, 4619, -13*w^3 - w^2 + 47*w + 2]', '[4619, 4619, 3*w^3 + 2*w^2 - 5*w - 10]', '[4619, 4619, 5*w^3 - 8*w^2 - 16*w + 29]', '[4619, 4619, 5*w^3 + 6*w^2 - 15*w - 20]', '[4619, 4619, w^3 - 4*w^2 - w + 15]', '[4619, 4619, w^3 - 2*w^2 + 11]', '[4619, 4619, -3*w^3 - 5*w^2 + 7*w + 16]', '[4619, 4619, -w^3 + 9*w + 7]', '[4619, 4619, 7*w^3 - 8*w^2 - 25*w + 26]', '[4619, 4619, -11*w^3 - 7*w^2 + 33*w + 12]', '[4621, 4621, 9*w^3 + 3*w^2 - 25*w]', '[4621, 4621, 6*w^3 - 2*w^2 - 15*w + 4]', '[4621, 4621, -8*w^3 + 3*w^2 + 26*w - 14]', '[4621, 4621, 11*w^3 + 2*w^2 - 36*w - 1]', '[4645, 4645, -3*w^2 + 3*w - 4]', '[4645, 4645, -7*w^3 + 17*w]', '[4645, 4645, -3*w^3 - 7*w^2 + 13*w + 7]', '[4645, 4645, -4*w^3 - 7*w^2 + 12*w + 10]', '[4649, 4649, -9*w^3 - 4*w^2 + 30*w + 1]', '[4649, 4649, -6*w^3 - 2*w^2 + 25*w - 5]', '[4649, 4649, -4*w^3 - 7*w^2 + 10*w + 19]', '[4649, 4649, 9*w^3 + 5*w^2 - 29*w - 2]', '[4651, 4651, 5*w^3 + 6*w^2 - 18*w - 13]', '[4651, 4651, 7*w^3 + 6*w^2 - 24*w - 10]', '[4651, 4651, -4*w^3 - 6*w^2 + 15*w + 8]', '[4651, 4651, 2*w^3 - 3*w^2 - 12*w + 12]', '[4679, 4679, -7*w^3 - 3*w^2 + 25*w - 1]', '[4679, 4679, 7*w^3 + w^2 - 24*w + 8]', '[4679, 4679, -4*w^3 + 3*w^2 + 13*w - 3]', '[4679, 4679, -3*w^3 + 4*w^2 + 12*w - 8]', '[4681, 4681, -w^3 - 7*w^2 + 9*w + 9]', '[4681, 4681, 4*w^3 + 6*w^2 - 13*w - 11]', '[4681, 4681, 5*w^3 + 6*w^2 - 8*w - 8]', '[4681, 4681, 3*w^2 + 8*w - 1]', '[4681, 4681, -3*w^3 + w^2 + 15*w - 5]', '[4681, 4681, -3*w^3 - 6*w^2 + 10*w + 12]', '[4681, 4681, -w^3 + 4*w^2 + 10*w - 16]', '[4681, 4681, -12*w^3 - 7*w^2 + 42*w + 13]', '[4681, 4681, -2*w^3 + w^2 + 12*w - 5]', '[4681, 4681, -5*w^3 - 7*w^2 + 19*w + 17]', '[4681, 4681, 2*w^3 - 4*w^2 - 13*w + 7]', '[4681, 4681, -5*w^3 + 3*w^2 + 23*w - 19]', '[4681, 4681, 8*w^3 + 8*w^2 - 27*w - 21]', '[4681, 4681, -3*w^3 - 8*w^2 + 12*w + 8]', '[4681, 4681, 6*w^3 - 6*w^2 - 25*w + 23]', '[4681, 4681, -6*w^3 - 7*w^2 + 22*w + 7]', '[4720, 590, 10*w^3 - 4*w^2 - 34*w + 20]', '[4720, 590, -4*w^3 - 6*w^2 + 12*w + 24]', '[4720, 590, 8*w^3 - 6*w^2 - 32*w + 22]', '[4720, 590, 2*w^3 - 4*w^2 - 12*w + 14]', '[4779, 177, -3*w^3 - 3*w^2 + 6*w + 15]', '[4779, 177, 3*w^3 - 6*w^2 - 12*w + 15]', '[4779, 177, 9*w^3 - 30*w + 12]', '[4779, 177, 6*w^3 + 3*w^2 - 21*w + 6]', '[4799, 4799, 5*w^2 + w - 3]', '[4799, 4799, 6*w^2 - 3*w - 17]', '[4799, 4799, -8*w^3 - 3*w^2 + 26*w - 3]', '[4799, 4799, -9*w^3 - 6*w^2 + 30*w + 4]', '[4801, 4801, -7*w^3 + 2*w^2 + 21*w - 10]', '[4801, 4801, 5*w^3 - w^2 - 22*w + 10]', '[4801, 4801, 3*w^3 - 11*w - 7]', '[4801, 4801, -w^3 + 2*w^2 + 3*w - 14]', '[4805, 155, 3*w^3 - 3*w^2 - 13*w + 3]', '[4805, 155, -8*w^3 + 2*w^2 + 29*w - 6]', '[4805, 155, -w^3 - 4*w^2 + 6*w + 14]', '[4805, 155, -6*w^3 - 4*w^2 + 21*w - 1]', '[4805, 155, -7*w^3 + 3*w^2 + 26*w - 9]', '[4805, 155, 2*w^3 + 3*w^2 - 2*w - 13]', '[4805, 4805, w^2 - 5*w - 6]', '[4805, 4805, 6*w^3 + w^2 - 23*w + 7]', '[4805, 4805, -w^3 + 5*w^2 + 4*w - 7]', '[4805, 4805, -5*w^3 - 5*w^2 + 14*w + 14]', '[4831, 4831, w^3 + 3*w^2 - 2*w - 16]', '[4831, 4831, 7*w^3 + 6*w^2 - 25*w - 11]', '[4831, 4831, -3*w^3 + 4*w^2 + 15*w - 14]', '[4831, 4831, 2*w^3 + w^2 - 9*w - 10]', '[4861, 4861, 3*w^3 + 2*w^2 - 12*w - 12]', '[4861, 4861, 7*w^3 + 6*w^2 - 25*w - 10]', '[4861, 4861, -3*w^3 + 4*w^2 + 15*w - 13]', '[4861, 4861, -3*w^2 - 2*w + 17]', '[4869, 1623, 8*w^3 + 2*w^2 - 29*w + 3]', '[4869, 1623, 10*w^3 + w^2 - 37*w + 6]', '[4869, 1623, -14*w^3 - 2*w^2 + 50*w - 3]', '[4869, 1623, -13*w^3 - 4*w^2 + 46*w + 3]', '[4880, 610, 2*w^3 - 4*w^2 - 10*w + 6]', '[4880, 610, -6*w^3 + 4*w^2 + 20*w - 10]', '[4880, 610, -12*w^3 + 6*w^2 + 44*w - 24]', '[4880, 610, -16*w^3 - 2*w^2 + 58*w + 4]', '[4889, 4889, 2*w^3 + 4*w^2 - 3*w - 16]', '[4889, 4889, -8*w^3 - w^2 + 29*w - 6]', '[4889, 4889, 7*w^3 + 5*w^2 - 20*w - 11]', '[4889, 4889, -3*w^3 + 5*w^2 + 10*w - 10]', '[4919, 4919, -2*w^3 - 3*w^2 + 12*w + 7]', '[4919, 4919, 4*w^3 + 6*w^2 - 9*w - 15]', '[4919, 4919, -w^3 + 6*w^2 + 6*w - 12]', '[4919, 4919, -8*w^3 + 27*w - 12]', '[4941, 183, -12*w^3 - 3*w^2 + 39*w + 3]', '[4941, 183, -6*w^3 + 3*w^2 + 15*w - 6]', '[4941, 183, 9*w^3 + 3*w^2 - 24*w]', '[4941, 183, -9*w^3 + 3*w^2 + 30*w - 15]', '[4951, 4951, -8*w^3 - 7*w^2 + 25*w + 12]', '[4951, 4951, -3*w^3 - 2*w^2 + 7*w - 6]', '[4951, 4951, -3*w^3 + 2*w^2 + 11*w - 16]', '[4951, 4951, 5*w^3 + 2*w^2 - 17*w - 11]', '[4955, 4955, w^3 - 4*w^2 + 5*w + 5]', '[4955, 4955, -8*w^3 - 5*w^2 + 25*w - 3]', '[4955, 4955, -7*w^3 - 2*w^2 + 16*w - 4]', '[4955, 4955, -8*w^3 - 4*w^2 + 25*w - 4]', '[5009, 5009, 8*w^3 + w^2 - 27*w + 8]', '[5009, 5009, 7*w^3 + 3*w^2 - 20*w - 9]', '[5009, 5009, 6*w^3 + 3*w^2 - 22*w + 2]', '[5009, 5009, 3*w^3 + 4*w^2 - 6*w - 13]', '[5011, 5011, -3*w^3 - 6*w^2 + 11*w + 10]', '[5011, 5011, -3*w^3 + 2*w^2 + 15*w - 9]', '[5011, 5011, 6*w^3 + 6*w^2 - 22*w - 9]', '[5011, 5011, -2*w^3 + 4*w^2 + 12*w - 11]', '[5039, 5039, -8*w^3 - 3*w^2 + 31*w - 1]', '[5039, 5039, -6*w^3 + 4*w^2 + 21*w - 11]', '[5039, 5039, 5*w^3 + 7*w^2 - 12*w - 16]', '[5039, 5039, 10*w^3 + 3*w^2 - 34*w + 1]', '[5041, 71, -8*w^3 + 24*w - 7]', '[5041, 71, 8*w^3 - 24*w + 1]', '[5095, 5095, -5*w^3 - 6*w^2 + 17*w - 2]', '[5095, 5095, 2*w^3 + w^2 + 2*w - 2]', '[5095, 5095, -8*w^3 - w^2 + 23*w - 4]', '[5095, 5095, -w^3 - 7*w^2 + 8*w + 9]', '[5099, 5099, 5*w^3 - 2*w^2 - 18*w]', '[5099, 5099, -7*w^3 - 5*w^2 + 23*w]', '[5099, 5099, -5*w^3 + 2*w^2 + 20*w - 1]', '[5099, 5099, -9*w^3 - 2*w^2 + 32*w - 3]', '[5101, 5101, 3*w^3 - 2*w^2 - 16*w + 13]', '[5101, 5101, -5*w^3 - 7*w^2 + 17*w + 18]', '[5101, 5101, -4*w^3 - 7*w^2 + 14*w + 8]', '[5101, 5101, 7*w^2 - w - 17]', '[5105, 5105, 5*w^3 + 5*w^2 - 11*w - 11]', '[5105, 5105, -w^3 + 6*w^2 + 3*w - 9]', '[5105, 5105, -7*w^3 - 2*w^2 + 16*w + 6]', '[5105, 5105, -6*w^3 - 4*w^2 + 11*w + 9]', '[5121, 1707, 11*w^3 - 37*w + 5]', '[5121, 1707, -14*w^3 - 2*w^2 + 47*w + 3]', '[5121, 1707, -7*w^3 + 2*w^2 + 28*w - 9]', '[5121, 1707, -4*w^3 - 7*w^2 + 13*w + 18]', '[5139, 1713, 22*w^3 + 5*w^2 - 78*w - 13]', '[5139, 1713, 4*w^3 + 5*w^2 - 9*w - 13]', '[5139, 1713, -5*w^3 - 10*w^2 + 15*w + 32]', '[5139, 1713, -7*w^3 - 2*w^2 + 24*w - 5]', '[5189, 5189, -8*w^3 - 3*w^2 + 21*w + 7]', '[5189, 5189, -11*w^3 - 3*w^2 + 36*w - 3]', '[5189, 5189, -5*w^3 + 3*w^2 + 12*w - 12]', '[5189, 5189, -8*w^3 + 3*w^2 + 27*w - 8]', '[5191, 5191, 7*w^3 + 7*w^2 - 23*w - 16]', '[5191, 5191, 4*w^3 + w^2 - 15*w - 9]', '[5191, 5191, 5*w^3 + 6*w^2 - 17*w - 10]', '[5191, 5191, -5*w^3 + 2*w^2 + 22*w - 13]', '[5191, 5191, -10*w^3 - 3*w^2 + 30*w]', '[5191, 5191, -w^3 + 3*w^2 + 4*w - 17]', '[5191, 5191, 2*w^2 + 7*w - 2]', '[5191, 5191, 2*w^3 + 7*w^2 - 8*w - 10]', '[5191, 5191, 3*w^3 + 6*w^2 - 11*w - 12]', '[5191, 5191, -3*w^3 + 2*w^2 + 15*w - 7]', '[5191, 5191, -w^2 + 3*w - 8]', '[5191, 5191, -10*w^3 + 33*w - 4]', '[5191, 5191, -w^3 + 2*w^2 + 9*w - 7]', '[5191, 5191, -3*w^3 - 3*w^2 + 8*w - 4]', '[5191, 5191, -7*w^3 + 3*w^2 + 21*w - 12]', '[5191, 5191, -7*w^3 + 18*w - 1]', '[5245, 5245, 2*w^3 + 2*w^2 + w - 4]', '[5245, 5245, -3*w^3 - 5*w^2 + 11*w - 2]', '[5245, 5245, 2*w^3 + 7*w^2 - 9*w - 9]', '[5245, 5245, 7*w^3 - 19*w + 3]', '[5249, 5249, 8*w^3 + 3*w^2 - 28*w + 1]', '[5249, 5249, -w^3 + 3*w^2 - w - 9]', '[5249, 5249, -2*w^3 + w^2 - 4]', '[5249, 5249, -3*w^3 - 3*w^2 + 14*w + 10]', '[5249, 5249, -5*w^2 - 3*w + 6]', '[5249, 5249, -8*w^3 - 6*w^2 + 23*w + 12]', '[5249, 5249, -6*w^3 + 24*w - 11]', '[5249, 5249, -5*w^3 - 3*w^2 + 20*w - 3]', '[5249, 5249, 9*w^3 + w^2 - 33*w + 6]', '[5249, 5249, -3*w^3 + 6*w^2 + 10*w - 13]', '[5249, 5249, 6*w^2 - 7]', '[5249, 5249, 4*w^3 - 4*w^2 - 15*w + 9]', '[5249, 5249, 2*w^3 + 5*w^2 - 3*w - 17]', '[5249, 5249, 5*w^3 + 4*w^2 - 12*w - 10]', '[5249, 5249, -6*w^3 - 6*w^2 + 18*w + 17]', '[5249, 5249, 6*w + 5]', '[5251, 5251, -6*w^3 + 25*w - 5]', '[5251, 5251, 5*w^3 - 22*w + 1]', '[5251, 5251, 7*w^2 - w - 16]', '[5251, 5251, w^3 - 4*w^2 - 9*w + 12]', '[5251, 5251, -2*w^3 + 2*w^2 + 7*w - 15]', '[5251, 5251, -6*w^3 + w^2 + 25*w - 9]', '[5251, 5251, -2*w^3 + 3*w^2 + 8*w - 18]', '[5251, 5251, 5*w^3 + 6*w^2 - 19*w - 11]', '[5251, 5251, -7*w^3 + w^2 + 28*w - 7]', '[5251, 5251, 5*w^3 + 6*w^2 - 19*w - 9]', '[5251, 5251, 10*w^3 + w^2 - 32*w + 5]', '[5251, 5251, 7*w^3 - 3*w^2 - 21*w + 10]', '[5251, 5251, 7*w^3 - w^2 - 20*w + 7]', '[5251, 5251, -9*w^3 - w^2 + 28*w - 4]', '[5251, 5251, 8*w^3 + 7*w^2 - 25*w - 11]', '[5251, 5251, -w^3 + 4*w^2 + 9*w - 10]', '[5255, 5255, -5*w^3 - 4*w^2 + 20*w - 1]', '[5255, 5255, -5*w^3 + w^2 + 10*w - 6]', '[5255, 5255, -6*w^3 - 5*w^2 + 22*w + 1]', '[5255, 5255, -6*w^3 - w^2 + 12*w - 3]', '[5275, 1055, 2*w^3 - 3*w^2 - 12*w + 8]', '[5275, 1055, -3*w^3 - 6*w^2 + 12*w + 10]', '[5275, 1055, 4*w^3 + 6*w^2 - 15*w - 12]', '[5275, 1055, -3*w^2 - 6*w + 7]', '[5279, 5279, -8*w^3 - 2*w^2 + 26*w - 7]', '[5279, 5279, -6*w^3 + 2*w^2 + 20*w - 1]', '[5279, 5279, 3*w^3 + 4*w^2 - 15*w - 9]', '[5279, 5279, 3*w^3 + 6*w^2 - 5*w - 16]', '[5281, 5281, 3*w^2 + 6*w - 8]', '[5281, 5281, 5*w^3 + 6*w^2 - 18*w - 12]', '[5281, 5281, 3*w^3 + 6*w^2 - 12*w - 11]', '[5281, 5281, 6*w^3 + 6*w^2 - 21*w - 10]', '[5296, 662, -2*w^3 + 4*w^2 + 12*w - 12]', '[5296, 662, -4*w^3 - 6*w^2 + 14*w + 10]', '[5296, 662, 4*w^3 + 6*w^2 - 16*w - 10]', '[5296, 662, 6*w^3 + 6*w^2 - 22*w - 10]', '[5309, 5309, -3*w^3 - 2*w^2 + 5*w + 11]', '[5309, 5309, 5*w^3 - 2*w^2 - 19*w + 1]', '[5309, 5309, -9*w^3 - 2*w^2 + 33*w - 3]', '[5309, 5309, -7*w^3 - 4*w^2 + 23*w - 2]', '[5391, 1797, w^3 + 2*w^2 - 3*w - 13]', '[5391, 1797, -11*w^3 - 7*w^2 + 39*w + 14]', '[5391, 1797, -11*w^3 - w^2 + 42*w - 4]', '[5391, 1797, 14*w^3 + w^2 - 48*w + 4]', '[5399, 5399, -4*w^3 - 3*w^2 + 18*w + 9]', '[5399, 5399, -6*w^3 - 3*w^2 + 15*w + 8]', '[5399, 5399, 5*w^3 + 3*w^2 - 21*w + 3]', '[5399, 5399, -8*w^3 - 5*w^2 + 27*w + 2]', '[5409, 1803, -10*w^3 + 35*w + 2]', '[5409, 1803, -9*w^3 - 7*w^2 + 29*w + 19]', '[5409, 1803, -14*w^3 + 49*w - 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13]', '[5519, 5519, -8*w^3 + 3*w^2 + 28*w - 9]', '[5519, 5519, -7*w^3 - 3*w^2 + 17*w + 7]', '[5519, 5519, -11*w^3 - 4*w^2 + 36*w]', '[5521, 5521, 9*w^3 - w^2 - 29*w + 10]', '[5521, 5521, 8*w^3 + w^2 - 22*w + 4]', '[5521, 5521, -6*w^3 + 2*w^2 + 25*w - 7]', '[5521, 5521, 10*w^3 + 2*w^2 - 31*w - 2]', '[5545, 5545, -8*w^3 + 17*w - 1]', '[5545, 5545, 8*w - 7]', '[5545, 5545, w^3 + w^2 - 3*w + 7]', '[5545, 5545, -7*w^3 - 8*w^2 + 22*w + 8]', '[5549, 5549, -2*w^3 + 4*w^2 + w - 9]', '[5549, 5549, -w^3 + 7*w^2 - w - 5]', '[5549, 5549, 8*w^3 + 2*w^2 - 27*w + 5]', '[5549, 5549, -7*w^3 - 6*w^2 + 24*w + 2]', '[5549, 5549, -7*w^3 - 5*w^2 + 17*w + 9]', '[5549, 5549, 2*w^3 + 6*w^2 - 9*w - 19]', '[5549, 5549, 5*w^3 + 4*w^2 - 8*w + 2]', '[5549, 5549, -5*w^3 + 3*w^2 + 17*w - 5]', '[5549, 5549, 6*w^3 + 3*w^2 - 16*w - 9]', '[5549, 5549, -11*w^3 - 4*w^2 + 38*w + 2]', '[5549, 5549, 8*w^3 - 4*w^2 - 31*w + 25]', '[5549, 5549, -w^3 - 3*w^2 - 3*w + 15]', '[5549, 5549, 4*w^3 - 3*w^2 - 18*w + 3]', '[5549, 5549, 3*w^3 - 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2*w^2 - 19*w]', '[5639, 5639, 7*w^3 + 4*w^2 - 23*w + 3]', '[5639, 5639, -10*w^3 - 2*w^2 + 36*w - 3]', '[5639, 5639, -4*w^3 + 6*w^2 + 14*w - 15]', '[5641, 5641, 2*w^3 - 2*w^2 - 13*w + 12]', '[5641, 5641, -2*w^3 - 2*w^2 + 7*w - 6]', '[5641, 5641, -4*w^3 - 7*w^2 + 14*w + 18]', '[5641, 5641, -5*w^3 - 7*w^2 + 17*w + 8]', '[5669, 5669, -3*w^3 - 6*w^2 + 7*w + 19]', '[5669, 5669, 3*w^3 + 2*w^2 - 15*w - 8]', '[5669, 5669, -6*w^3 - 2*w^2 + 14*w + 7]', '[5669, 5669, -4*w^3 + 4*w^2 + 10*w - 15]', '[5679, 1893, -19*w^3 - 6*w^2 + 68*w + 8]', '[5679, 1893, 16*w^3 + w^2 - 58*w]', '[5679, 1893, -9*w^3 - 2*w^2 + 31*w - 4]', '[5679, 1893, 12*w^3 - w^2 - 43*w + 13]', '[5701, 5701, -6*w^3 + 2*w^2 + 25*w - 12]', '[5701, 5701, -5*w^3 - w^2 + 17*w + 9]', '[5701, 5701, -3*w^3 + 2*w^2 + 10*w - 16]', '[5701, 5701, -8*w^3 - 7*w^2 + 26*w + 14]', '[5744, 718, 4*w^3 + 4*w^2 - 18*w - 10]', '[5744, 718, 6*w^3 + 4*w^2 - 24*w]', '[5744, 718, 2*w^3 + 6*w^2 - 2*w - 18]', '[5744, 718, 6*w^2 + 4*w - 10]', '[5776, 38, -2*w^3 + 6*w + 8]', '[5776, 38, 8*w^3 - 24*w + 2]', '[5791, 5791, -10*w^3 + 32*w - 9]', '[5791, 5791, -10*w^3 - 2*w^2 + 30*w + 3]', '[5791, 5791, 8*w^3 - 22*w + 7]', '[5791, 5791, -5*w^3 - 7*w^2 + 16*w + 9]', '[5821, 5821, -4*w^3 + 13*w - 12]', '[5821, 5821, -4*w^3 - w^2 + 12*w + 10]', '[5821, 5821, -3*w^3 + 8*w - 11]', '[5821, 5821, 3*w^3 - w^2 - 9*w - 6]', '[5849, 5849, 5*w^3 + 6*w^2 - 14*w - 17]', '[5849, 5849, 6*w^3 + w^2 - 24*w + 8]', '[5849, 5849, -6*w^3 - 5*w^2 + 18*w + 16]', '[5849, 5849, w^3 + 2*w + 7]', '[5851, 5851, -10*w^3 - w^2 + 31*w - 7]', '[5851, 5851, -6*w^3 - 7*w^2 + 19*w + 9]', '[5851, 5851, 9*w^3 + w^2 - 26*w - 2]', '[5851, 5851, 8*w^3 - w^2 - 23*w + 10]', '[5855, 5855, -2*w^3 - 6*w^2 + 17*w - 4]', '[5855, 5855, -10*w^3 - 7*w^2 + 33*w + 5]', '[5855, 5855, -11*w^3 - 4*w^2 + 23*w + 1]', '[5855, 5855, -5*w^2 - 2*w + 3]', '[5879, 5879, -6*w^3 - 5*w^2 + 17*w + 13]', '[5879, 5879, 3*w^3 + 5*w^2 - 7*w - 18]', '[5879, 5879, 2*w^3 + 2*w^2 - 11*w - 10]', '[5879, 5879, 7*w^3 + w^2 - 26*w + 7]', '[5881, 5881, -w^3 + w^2 + 4*w - 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6]', '[9680, 110, 10*w^3 + 6*w^2 - 32*w - 18]', '[9689, 9689, w^3 - 6*w^2 - 5*w + 9]', '[9689, 9689, -8*w^3 + 2*w^2 + 28*w - 3]', '[9689, 9689, -10*w^3 - 4*w^2 + 32*w - 3]', '[9689, 9689, -4*w^3 + 4*w^2 + 10*w - 17]', '[9719, 9719, -5*w^3 - 3*w^2 + 9*w + 10]', '[9719, 9719, 11*w^3 + 6*w^2 - 36*w - 3]', '[9719, 9719, -8*w^3 + 3*w^2 + 30*w - 8]', '[9719, 9719, -2*w^3 + 6*w^2 + 3*w - 18]', '[9721, 9721, 5*w^3 + 2*w^2 - 24*w + 1]', '[9721, 9721, 4*w^3 + 9*w^2 - 10*w - 18]', '[9721, 9721, 6*w^3 + 2*w^2 - 27*w]', '[9721, 9721, 3*w^3 + 9*w^2 - 7*w - 20]', '[9725, 1945, 3*w^3 + 3*w^2 - 3*w - 13]', '[9725, 1945, 6*w^3 - 4*w^2 - 21*w + 9]', '[9725, 1945, 6*w^3 - 3*w^2 - 24*w + 5]', '[9725, 1945, -6*w^2 + 3*w + 19]', '[9745, 9745, 7*w^3 + 9*w^2 - 20*w - 12]', '[9745, 9745, 3*w^3 + 3*w^2 - 10]', '[9745, 9745, 7*w^3 + 10*w^2 - 25*w - 8]', '[9745, 9745, 2*w^3 + w^2 - 15*w + 6]', '[9749, 9749, -7*w^3 - 7*w^2 + 19*w + 16]', '[9749, 9749, 6*w^3 - 6*w^2 - 22*w + 17]', '[9749, 9749, -8*w^3 - 6*w^2 + 20*w + 11]', '[9749, 9749, -12*w^3 - 4*w^2 + 42*w + 1]', '[9755, 9755, -9*w^3 - 7*w^2 + 30*w + 3]', '[9755, 9755, -8*w^3 - w^2 + 15*w - 2]', '[9755, 9755, 3*w^3 - 2*w^2 - 5*w + 10]', '[9755, 9755, -4*w^3 - 5*w^2 + 20*w - 4]', '[9781, 9781, w^3 + 8*w^2 - 4*w - 20]', '[9781, 9781, -w^3 + 6*w - 12]', '[9781, 9781, -2*w^3 + 9*w + 9]', '[9781, 9781, 8*w^3 + 8*w^2 - 25*w - 11]', '[9801, 33, 3*w^3 - 9*w - 9]', '[9801, 33, -9*w^3 + 27*w - 3]', '[9811, 9811, -w^3 + 3*w^2 + 10*w - 10]', '[9811, 9811, 7*w^3 + 7*w^2 - 25*w - 13]', '[9811, 9811, 4*w^2 + 7*w - 9]', '[9811, 9811, 4*w^3 + 7*w^2 - 15*w - 14]', '[9839, 9839, -4*w^3 + 5*w^2 + 16*w - 11]', '[9839, 9839, 9*w^3 + 4*w^2 - 32*w]', '[9839, 9839, 4*w^3 - 4*w^2 - 13*w + 4]', '[9839, 9839, 4*w^2 - 5*w - 11]', '[9871, 9871, 9*w^3 + 8*w^2 - 30*w - 10]', '[9871, 9871, -6*w^3 + 3*w^2 + 26*w - 9]', '[9871, 9871, 11*w^3 + 2*w^2 - 34*w - 1]', '[9871, 9871, -9*w^3 - w^2 + 25*w - 4]', '[9895, 9895, 5*w^3 + 5*w^2 - 16*w + 4]', '[9895, 9895, -6*w^3 - 9*w^2 + 18*w + 11]', '[9895, 9895, 9*w^3 + w^2 - 24*w + 4]', '[9895, 9895, -3*w^3 - 8*w^2 + 14*w + 9]', '[9901, 9901, -w^3 + w^2 + 2*w - 13]', '[9901, 9901, 9*w^3 - 2*w^2 - 28*w + 12]', '[9901, 9901, -10*w^3 - 2*w^2 + 29*w - 3]', '[9901, 9901, -3*w^3 - w^2 + 10*w - 10]', '[9929, 9929, -10*w^3 + 36*w - 11]', '[9929, 9929, 10*w^3 + 6*w^2 - 30*w - 13]', '[9929, 9929, 2*w^3 + 5*w^2 - 2*w - 19]', '[9929, 9929, -11*w^3 - w^2 + 37*w - 10]', '[9931, 9931, w^3 + 3*w^2 - 4*w - 17]', '[9931, 9931, -3*w^3 - 3*w^2 + 10*w - 6]', '[9931, 9931, 2*w^3 - w^2 - 9*w - 7]', '[9931, 9931, w^2 + 3*w - 14]', '[9981, 3327, -4*w^3 - 5*w^2 + 12*w + 22]', '[9981, 3327, -5*w^3 - 7*w^2 + 18*w + 14]', '[9981, 3327, -17*w^3 - w^2 + 63*w - 4]', '[9981, 3327, -17*w^3 - 4*w^2 + 57*w + 5]', '[10000, 10, 10]'], 'label': '4.4.1125.1', 'narrow_class_no': 2, 'primes': ['[5, 5, -w^2 + 1]', '[9, 3, w^3 + w^2 - 4*w - 3]', '[16, 2, 2]', '[29, 29, -w^3 - w^2 + 2*w + 3]', '[29, 29, -w^2 + w + 3]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[29, 29, 2*w^3 + w^2 - 7*w]', '[31, 31, -2*w + 1]', '[31, 31, 2*w^2 - 5]', '[31, 31, 2*w^3 + 2*w^2 - 6*w - 3]', '[31, 31, 2*w^3 - 8*w + 1]', '[59, 59, w^3 + w^2 - 2*w - 5]', '[59, 59, -w^3 + 2*w^2 + 4*w - 5]', '[59, 59, -3*w^3 + 10*w - 4]', '[59, 59, -2*w^3 - w^2 + 7*w - 2]', '[61, 61, 4*w^3 + w^2 - 13*w - 1]', '[61, 61, 2*w^3 - w^2 - 5*w + 2]', '[61, 61, -3*w^3 - w^2 + 8*w]', '[61, 61, 3*w^3 - w^2 - 10*w + 5]', '[89, 89, w^3 + w^2 - w - 4]', '[89, 89, 2*w^2 - w - 6]', '[89, 89, -3*w^3 - 2*w^2 + 10*w + 1]', '[89, 89, -2*w^3 + w^2 + 8*w - 2]', '[121, 11, -w^3 + 3*w + 3]', '[121, 11, 3*w^3 - 9*w + 1]', '[149, 149, 3*w^3 + 2*w^2 - 9*w - 5]', '[149, 149, w^3 + 2*w^2 - 2*w - 7]', '[149, 149, w^3 + w^2 - 5*w - 4]', '[149, 149, -3*w^3 + 11*w - 4]', '[151, 151, 3*w^3 - w^2 - 9*w + 3]', '[151, 151, 3*w^3 - 8*w + 2]', '[151, 151, 4*w^3 + w^2 - 12*w - 1]', '[151, 151, -4*w^3 + 13*w - 3]', '[179, 179, -4*w^3 - w^2 + 14*w - 1]', '[179, 179, 3*w^3 + 2*w^2 - 8*w - 4]', '[179, 179, -w^3 + w^2 + w - 3]', '[179, 179, -2*w^3 + 2*w^2 + 7*w - 5]', '[181, 181, 4*w^3 + w^2 - 12*w]', '[181, 181, -3*w^3 + 8*w - 1]', '[181, 181, 4*w^3 - 13*w + 2]', '[181, 181, -3*w^3 + w^2 + 9*w - 4]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 6]', '[211, 211, -w^3 + 6*w - 2]', '[211, 211, 2*w^3 - 9*w + 2]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 5]', '[239, 239, w^3 + 3*w^2 - 2*w - 10]', '[239, 239, 2*w^3 + w^2 - 9*w - 4]', '[239, 239, 2*w^3 + w^2 - 9*w + 3]', '[239, 239, -w^3 - 3*w^2 + 2*w + 3]', '[241, 241, 5*w^3 + w^2 - 16*w - 1]', '[241, 241, -2*w^3 - 4*w^2 + 5*w + 9]', '[241, 241, 3*w^3 + w^2 - 13*w + 1]', '[241, 241, 5*w^3 - 16*w]', '[269, 269, -3*w^3 - 2*w^2 + 7*w + 4]', '[269, 269, -2*w^3 - 3*w^2 + 5*w + 8]', '[269, 269, -3*w^3 - 2*w^2 + 9*w + 7]', '[269, 269, 5*w^3 + 2*w^2 - 17*w - 1]', '[271, 271, 5*w^3 + w^2 - 16*w]', '[271, 271, -2*w^3 - w^2 + 6*w + 6]', '[271, 271, 4*w^3 + w^2 - 11*w]', '[271, 271, 3*w^3 - w^2 - 8*w + 3]', '[331, 331, -w^3 + 2*w^2 + 6*w - 6]', '[331, 331, -2*w^3 - 3*w^2 + 7*w + 5]', '[331, 331, 2*w^3 + 3*w^2 - 8*w - 5]', '[331, 331, 3*w^3 + 3*w^2 - 11*w - 5]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 5]', '[359, 359, 3*w^3 + 2*w^2 - 12*w]', '[359, 359, w^3 + 3*w^2 - w - 9]', '[359, 359, 3*w^2 + 2*w - 5]', '[361, 19, -w^3 + 3*w + 4]', '[361, 19, 4*w^3 - 12*w + 1]', '[389, 389, w^3 - 3*w^2 - 3*w + 5]', '[389, 389, 2*w^3 + 2*w^2 - 5*w - 7]', '[389, 389, 4*w^3 + 3*w^2 - 12*w - 7]', '[389, 389, -4*w^3 + 15*w - 5]', '[419, 419, -3*w^3 - 3*w^2 + 8*w + 7]', '[419, 419, -4*w^3 - 2*w^2 + 13*w - 1]', '[419, 419, -4*w^3 - w^2 + 15*w - 2]', '[419, 419, w^3 - 3*w^2 - 4*w + 6]', '[421, 421, w^2 - 7]', '[421, 421, -w^3 + 4*w + 4]', '[421, 421, 4*w^3 - 11*w]', '[421, 421, 4*w^3 - w^2 - 12*w + 6]', '[449, 449, 3*w^3 + 2*w^2 - 11*w + 1]', '[449, 449, -w^3 - 2*w^2 + 5*w + 7]', '[449, 449, -w^3 + 2*w^2 + 5*w - 2]', '[449, 449, w^3 + 2*w^2 - w - 8]', '[479, 479, 2*w^3 + 3*w^2 - 5*w - 9]', '[479, 479, -3*w^2 - w + 4]', '[479, 479, -3*w^3 - w^2 + 12*w - 3]', '[479, 479, w^3 + w^2 - 6*w - 4]', '[509, 509, 4*w^3 + 3*w^2 - 11*w - 6]', '[509, 509, -w^3 + w^2 - 3]', '[509, 509, -2*w^3 + 3*w^2 + 7*w - 7]', '[509, 509, -5*w^3 - w^2 + 18*w - 2]', '[541, 541, -4*w^3 + 11*w - 2]', '[541, 541, -4*w^3 + w^2 + 12*w - 4]', '[541, 541, 5*w^3 - 16*w + 3]', '[541, 541, 5*w^3 + w^2 - 15*w]', '[569, 569, -4*w^3 - w^2 + 14*w - 3]', '[569, 569, 4*w^3 + 2*w^2 - 15*w]', '[569, 569, w^3 - 3*w^2 - 5*w + 6]', '[569, 569, 2*w^3 + 3*w^2 - 4*w - 8]', '[571, 571, -4*w^3 - w^2 + 17*w + 2]', '[571, 571, 3*w^3 + 4*w^2 - 10*w - 10]', '[571, 571, w^3 + 5*w^2 - 2*w - 14]', '[571, 571, -6*w^3 + 20*w - 3]', '[599, 599, -2*w^3 + w^2 + 4*w - 5]', '[599, 599, -4*w^3 - 2*w^2 + 11*w + 5]', '[599, 599, 3*w^3 - 2*w^2 - 10*w + 4]', '[599, 599, -5*w^3 - w^2 + 17*w - 3]', '[601, 601, w^3 - 7*w + 1]', '[601, 601, 3*w^3 + 4*w^2 - 9*w - 8]', '[601, 601, 3*w^3 - 13*w + 3]', '[601, 601, w^3 + 4*w^2 - 3*w - 8]', '[631, 631, 6*w^3 + w^2 - 19*w - 1]', '[631, 631, -3*w^3 + w^2 + 13*w - 3]', '[631, 631, 5*w^3 + w^2 - 14*w + 2]', '[631, 631, -5*w^3 + w^2 + 16*w - 7]', '[659, 659, -6*w^3 - 2*w^2 + 19*w - 2]', '[659, 659, -5*w^3 + w^2 + 17*w - 2]', '[659, 659, -4*w^3 + 15*w - 6]', '[659, 659, -4*w^3 - 3*w^2 + 12*w + 8]', '[661, 661, -5*w^3 + 2*w^2 + 16*w - 7]', '[661, 661, 6*w^3 + 2*w^2 - 17*w - 2]', '[661, 661, -7*w^3 - w^2 + 23*w - 2]', '[661, 661, -4*w^3 + w^2 + 10*w - 4]', '[691, 691, -6*w^3 + 19*w - 6]', '[691, 691, -5*w^3 + w^2 + 15*w - 2]', '[691, 691, 5*w^3 - 14*w + 5]', '[691, 691, 2*w^3 + 4*w^2 - 7*w - 10]', '[719, 719, -7*w^3 - 2*w^2 + 24*w]', '[719, 719, -2*w^3 + 2*w^2 + 3*w - 5]', '[719, 719, -5*w^3 - 3*w^2 + 13*w + 5]', '[719, 719, -4*w^3 + 3*w^2 + 14*w - 9]', '[751, 751, 4*w^3 + 4*w^2 - 14*w - 5]', '[751, 751, 5*w^3 + 4*w^2 - 17*w - 8]', '[751, 751, -3*w^3 + 2*w^2 + 13*w - 9]', '[751, 751, 6*w^3 + w^2 - 19*w]', '[809, 809, w^3 + 3*w^2 - w - 11]', '[809, 809, -5*w^3 + 18*w - 6]', '[809, 809, -6*w^3 - w^2 + 20*w - 4]', '[809, 809, 5*w^3 + 3*w^2 - 15*w - 7]', '[811, 811, 5*w^3 + 4*w^2 - 18*w - 6]', '[811, 811, 7*w^3 + 2*w^2 - 22*w - 1]', '[811, 811, 4*w^3 - 2*w^2 - 11*w + 6]', '[811, 811, 5*w^3 + w^2 - 13*w]', '[839, 839, -4*w^3 - 4*w^2 + 11*w + 9]', '[839, 839, 5*w^3 + w^2 - 19*w + 3]', '[839, 839, -6*w^3 - 2*w^2 + 21*w]', '[839, 839, -5*w^3 - 3*w^2 + 16*w]', '[929, 929, 5*w^3 + w^2 - 17*w + 4]', '[929, 929, 3*w^3 - 2*w^2 - 10*w + 3]', '[929, 929, 4*w^3 + 2*w^2 - 11*w - 6]', '[929, 929, 4*w^3 + 2*w^2 - 15*w + 1]', '[991, 991, 3*w^3 + w^2 - 14*w + 1]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 11]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 10]', '[991, 991, 3*w^2 + 4*w - 7]']}
• 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
  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': [1, 4, -4, -1, 1], 'conductor': 15, 'degree': 4, 'dirichlet_group': [8, 1, 2, 4], 'disc_abs': 1125, 'disc_rad': 15, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [0]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[4, 1]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[1, 4]]], [31, [[1, 4]]], [37, [[4, 1]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[4, 1]]], [59, [[1, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 3], 'galois_label': '4T1', 'galt': 1, 'grd': 5.791460926441346, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.1125.1', 'local_algs': ['3.2.2.2a1.1', '5.1.4.3a1.4'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [3, 5], 'rd': 5.79146092644, 'regulator': {'__RealLiteral__': 0, 'data': '1.16545519432', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 3 a \\)', '\\( a^{2} - 3 \\)', '\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}