Hilbert modular form data - 4.4.725.1-79.2-a

Formats: - HTML - YAML - JSON - 2024-06-01T23:56:15.821055

• 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': 725, 'field_bad_primes': [5, 29], 'field_label': '4.4.725.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.725.1-79.2-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [79], 'level_ideal': '[79,79,w^3 + w^2 - 3*w - 5]', 'level_label': '79.2', 'level_norm': 79, 'parallel_weight': 2, 'short_label': '79.2-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[79,79,w^3 + w^2 - 3*w - 5]', 1]], 'hecke_eigenvalues': [-4, 4, 5, 0, -4, 2, -2, -4, 4, -10, -6, -6, 10, -2, -2, -4, -1, -10, 10, -6, 6, -2, 6, 10, -10, 6, -6, 20, -20, 4, -12, 4, 20, -10, 18, -18, 6, 14, -2, -20, 20, 12, -20, -12, 16, -20, -12, -14, 14, -20, 0, 2, 14, -8, 20, -30, 6, -6, -2, 12, 24, -20, 12, -24, 36, -2, 24, 28, -26, 6, -18, 26, -26, -2, 16, -24, -16, 16, 18, -6, -34, -6, 24, 0, -36, -12, -4, -36, -4, 16, -2, 30, 6, 42, -18, 34, 10, 42, 26, -30, -34, -6, -42, -22, -28, 12, 20, 40, 28, -24, 34, -14, -12, 32, -16, -40, 32, -16, 42, -38, -24, 28, 38, -34, 26, 46, 12, 44, 16, 20, 22, 22, -22, -30, -36, 44, 20, -12, 6, -26, -18, -10, 46, -18, 48, -16, 42, -20, 16, 50, 14, 24, -56, -54, 34, 10, 30, 42, -10, 14, -18, -22, -36, -36], 'hecke_polynomial': 'x', 'label': '4.4.725.1-79.2-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 725, 'ideals': ['[1, 1, 1]', '[11, 11, -w^3 + 2*w^2 + w - 3]', '[11, 11, w^3 - 3*w]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w + 2]', '[19, 19, 2*w^3 - 3*w^2 - 4*w + 2]', '[25, 5, 2*w^3 - 2*w^2 - 4*w + 1]', '[29, 29, w^3 - w^2 - 4*w + 1]', '[31, 31, w^3 - 4*w + 1]', '[31, 31, -w^2 + 2*w + 3]', '[41, 41, 2*w^2 - w - 3]', '[41, 41, -w^3 + 3*w^2 + w - 4]', '[49, 7, 2*w^3 - 3*w^2 - 5*w + 2]', '[49, 7, w^2 + w - 3]', '[61, 61, 2*w^3 - 3*w^2 - 4*w]', '[61, 61, -3*w^3 + 4*w^2 + 7*w - 3]', '[79, 79, 2*w^3 - 4*w^2 - 3*w + 2]', '[79, 79, w^3 + w^2 - 3*w - 5]', '[81, 3, -3]', '[89, 89, -3*w^3 + 4*w^2 + 5*w - 3]', '[89, 89, 3*w^3 - 2*w^2 - 7*w]', '[101, 101, -3*w^3 + 5*w^2 + 7*w - 5]', '[101, 101, -2*w^2 - w + 4]', '[109, 109, 3*w^3 - 5*w^2 - 5*w + 3]', '[109, 109, -2*w^3 + 7*w + 1]', '[109, 109, 4*w^3 - 5*w^2 - 9*w + 3]', '[109, 109, -2*w^3 + 5*w + 4]', '[121, 11, 3*w^3 - 3*w^2 - 6*w + 1]', '[121, 11, -3*w^3 + 3*w^2 + 6*w - 2]', '[121, 121, 2*w^3 - 2*w^2 - 7*w + 1]', '[121, 121, w^3 - w^2 - 5*w + 2]', '[131, 131, -3*w^3 + 2*w^2 + 8*w - 2]', '[131, 131, w^3 + w^2 - 5*w]', '[139, 139, -w^3 + 2*w^2 + 2*w - 6]', '[139, 139, 2*w^3 - 5*w^2 - 2*w + 6]', '[139, 139, 3*w^3 - 5*w^2 - 6*w + 4]', '[139, 139, -2*w^3 + 2*w^2 + 7*w - 2]', '[149, 149, -3*w^3 + 4*w^2 + 7*w - 2]', '[149, 149, w^3 - w^2 - 3*w - 3]', '[149, 149, 3*w^3 - 2*w^2 - 9*w + 2]', '[149, 149, w - 4]', '[169, 13, -4*w^3 + 5*w^2 + 8*w - 4]', '[169, 13, 3*w^3 - 2*w^2 - 6*w]', '[176, 22, -2*w^3 + 4*w^2 + 2*w - 6]', '[176, 22, 2*w^3 - 6*w]', '[179, 179, -4*w^3 + 3*w^2 + 10*w - 3]', '[179, 179, -4*w^3 + 4*w^2 + 9*w - 3]', '[179, 179, -2*w^3 + w^2 + 8*w - 1]', '[179, 179, 4*w^3 - 3*w^2 - 8*w - 2]', '[191, 191, -w^3 + 4*w^2 - 6]', '[191, 191, -4*w^3 + 4*w^2 + 9*w - 2]', '[209, 209, w^2 + 2*w - 4]', '[209, 209, 3*w^2 - 2*w - 5]', '[209, 209, w^3 - 4*w^2 + 5]', '[209, 209, 3*w^3 - 4*w^2 - 8*w + 2]', '[211, 211, 2*w^3 - w^2 - 8*w]', '[211, 211, -w^3 + 4*w^2 + w - 5]', '[229, 229, w^3 - 3*w^2 + w + 5]', '[229, 229, 2*w^3 - 7*w]', '[251, 251, 3*w^3 - 4*w^2 - 7*w + 1]', '[251, 251, w^3 - w - 4]', '[256, 4, 4]', '[269, 269, 3*w^3 - 6*w^2 - 3*w + 7]', '[269, 269, 3*w^3 - 9*w - 2]', '[271, 271, -3*w^3 + w^2 + 10*w]', '[271, 271, 4*w^3 - 5*w^2 - 9*w + 2]', '[275, 55, -3*w^3 + 2*w^2 + 9*w - 3]', '[275, 55, w^3 - 2*w^2 + w + 4]', '[281, 281, -3*w^3 + w^2 + 11*w - 1]', '[281, 281, -2*w^2 + 5*w + 4]', '[281, 281, -3*w^3 + 3*w^2 + 10*w - 1]', '[281, 281, 3*w^3 - 4*w^2 - 7*w - 1]', '[304, 38, -2*w^3 + 4*w + 4]', '[304, 38, 4*w^3 - 6*w^2 - 8*w + 4]', '[311, 311, -w^3 + 7*w + 2]', '[311, 311, 3*w^2 - 7]', '[319, 319, -4*w^3 + 6*w^2 + 9*w - 5]', '[319, 319, -w^3 - w^2 + w + 4]', '[331, 331, w^3 + 2*w^2 - 3*w - 7]', '[331, 331, w^3 - w^2 - w + 5]', '[341, 341, w^2 - w - 6]', '[341, 341, -2*w^2 + 4*w + 5]', '[341, 341, -2*w^3 + 8*w - 1]', '[341, 341, w^2 - w + 3]', '[359, 359, -4*w^3 + 5*w^2 + 6*w - 4]', '[359, 359, -5*w^3 + 4*w^2 + 12*w - 2]', '[361, 19, 4*w^3 - 4*w^2 - 8*w + 1]', '[361, 19, -4*w^3 + 4*w^2 + 8*w - 3]', '[361, 361, -w^3 + 3*w^2 - w - 6]', '[361, 361, -2*w^3 + 7*w - 1]', '[379, 379, -3*w^3 + 10*w + 2]', '[379, 379, 2*w^3 - 5*w^2 + 6]', '[389, 389, -5*w^3 + 6*w^2 + 10*w - 3]', '[389, 389, w^3 + 3*w^2 - 6*w - 7]', '[400, 10, 4*w^3 - 4*w^2 - 8*w + 2]', '[409, 409, -4*w^3 + 4*w^2 + 7*w]', '[409, 409, -4*w^2 + 4*w + 5]', '[421, 421, -2*w^3 + 2*w^2 + 8*w - 3]', '[421, 421, w^3 + 3*w^2 - 6*w - 6]', '[431, 431, 4*w^3 - 6*w^2 - 10*w + 5]', '[431, 431, 3*w^3 - 5*w^2 - 6*w + 2]', '[431, 431, -4*w^3 + 3*w^2 + 8*w - 2]', '[431, 431, -5*w^3 + 6*w^2 + 10*w - 6]', '[449, 449, 4*w^3 - 5*w^2 - 6*w + 2]', '[449, 449, -w^3 + 2*w^2 + w - 7]', '[451, 451, -2*w^3 + 4*w^2 + 6*w - 1]', '[451, 451, -2*w^2 - w + 6]', '[451, 451, -3*w^3 + 5*w^2 + 7*w - 3]', '[451, 451, 2*w^3 - 4*w^2 - 6*w + 9]', '[461, 461, 5*w^3 - 4*w^2 - 12*w + 1]', '[461, 461, w^3 + 2*w^2 - 2*w - 6]', '[464, 58, 2*w^3 - 2*w^2 - 8*w + 2]', '[475, 95, 3*w^3 - 4*w^2 - 8*w]', '[475, 95, -w^2 - 2*w + 6]', '[479, 479, w^3 + 3*w^2 - 5*w - 7]', '[479, 479, 2*w^3 - 6*w^2 - w + 6]', '[491, 491, 3*w^2 - 5*w - 6]', '[491, 491, -2*w^3 - w^2 + 9*w + 1]', '[496, 62, 2*w^3 - 8*w + 2]', '[496, 62, -2*w^2 + 4*w + 6]', '[499, 499, 4*w^3 - 3*w^2 - 12*w + 4]', '[499, 499, 4*w^3 - 5*w^2 - 10*w + 2]', '[499, 499, -5*w^3 + 5*w^2 + 11*w - 4]', '[499, 499, -4*w^3 + 4*w^2 + 7*w - 3]', '[509, 509, -5*w^3 + 6*w^2 + 10*w - 4]', '[509, 509, -4*w^2 + 3*w + 8]', '[509, 509, -3*w^3 + w^2 + 10*w - 1]', '[509, 509, 5*w^3 - 6*w^2 - 12*w + 3]', '[521, 521, -5*w^3 + 6*w^2 + 10*w - 5]', '[521, 521, 2*w^3 - 6*w^2 - w + 7]', '[521, 521, w^3 - 5*w^2 + 9]', '[521, 521, w^3 + 3*w^2 - 5*w - 6]', '[529, 23, 3*w^3 - 5*w^2 - 6*w + 1]', '[529, 23, -2*w^3 - w^2 + 8*w + 1]', '[539, 77, 3*w^3 - 7*w^2 - 5*w + 9]', '[539, 77, -4*w^3 + 5*w^2 + 12*w - 6]', '[539, 77, -4*w^2 + w + 6]', '[539, 77, -w^3 + 2*w^2 + 6*w - 2]', '[541, 541, 3*w^3 - 5*w^2 - 8*w + 3]', '[541, 541, -w^3 + 3*w^2 + 4*w - 7]', '[551, 551, 3*w^3 - 9*w - 1]', '[551, 551, 3*w^3 - 6*w^2 - 3*w + 8]', '[569, 569, -w^3 + 7*w - 1]', '[569, 569, -3*w^3 + 2*w^2 + 11*w]', '[571, 571, w^3 - 4*w - 6]', '[571, 571, 4*w^3 - 5*w^2 - 11*w + 2]', '[571, 571, -5*w^3 + 5*w^2 + 11*w - 3]', '[571, 571, -2*w^3 + 6*w^2 + 2*w - 9]', '[589, 589, w^3 + w^2 - w - 5]', '[589, 589, 3*w^3 - 2*w^2 - 11*w + 1]', '[589, 589, w^3 - 7*w]', '[589, 589, -4*w^3 + 6*w^2 + 9*w - 4]', '[599, 599, 3*w^3 - 6*w^2 - 6*w + 4]', '[599, 599, 3*w^2 - 8]', '[601, 601, -4*w^3 + 2*w^2 + 12*w - 1]', '[601, 601, -5*w^3 + 7*w^2 + 11*w - 5]', '[619, 619, -w^3 + 5*w^2 - w - 6]', '[619, 619, 4*w^2 - 3*w - 7]', '[625, 5, 5]', '[631, 631, 2*w^3 - 3*w^2 - 5*w - 3]', '[631, 631, 5*w^3 - 3*w^2 - 13*w + 2]', '[631, 631, 2*w^3 + w^2 - 11*w - 2]', '[631, 631, 6*w^3 - 6*w^2 - 14*w + 3]', '[641, 641, 2*w^2 - w - 9]', '[641, 641, -w^3 + 3*w^2 + 2*w - 10]', '[656, 82, 4*w^2 - 2*w - 6]', '[656, 82, -2*w^3 + 6*w^2 + 2*w - 8]', '[659, 659, -4*w^3 + w^2 + 14*w + 1]', '[659, 659, 5*w^3 - 6*w^2 - 11*w + 1]', '[671, 671, -w^3 - 4*w^2 + 6*w + 5]', '[671, 671, 6*w^3 - 7*w^2 - 17*w + 9]', '[671, 671, -w^3 - w^2 + 8*w + 1]', '[671, 671, -w^3 + 5*w^2 - 8]', '[709, 709, 6*w^3 - 7*w^2 - 14*w + 3]', '[709, 709, 6*w^3 - 8*w^2 - 15*w + 7]', '[709, 709, 2*w^3 - 5*w^2 - 5*w + 2]', '[709, 709, -4*w^3 + 3*w^2 + 11*w - 5]', '[725, 145, w^3 - 5*w^2 + 7]', '[739, 739, 5*w^3 - 7*w^2 - 7*w + 5]', '[739, 739, -w^3 - 3*w^2 + 6*w + 1]', '[751, 751, 5*w^3 - 3*w^2 - 11*w + 1]', '[751, 751, 5*w^3 - 6*w^2 - 13*w + 3]', '[769, 769, -w^2 + 2*w + 7]', '[769, 769, -4*w^3 + 6*w^2 + 11*w - 4]', '[775, 155, 3*w^3 - 6*w^2 - 2*w + 7]', '[775, 155, 4*w^3 - w^2 - 12*w - 1]', '[779, 779, -4*w^3 + 3*w^2 + 13*w - 6]', '[779, 779, -3*w^3 + w^2 + 10*w - 2]', '[779, 779, -w^3 + 3*w^2 - 2*w - 6]', '[779, 779, w^2 - 5*w - 5]', '[784, 14, 4*w^3 - 6*w^2 - 10*w + 4]', '[784, 14, 2*w^2 + 2*w - 6]', '[809, 809, -5*w^3 + 4*w^2 + 13*w - 5]', '[809, 809, 2*w^3 + w^2 - 8*w]', '[811, 811, -w^3 - 4*w^2 + 7*w + 6]', '[811, 811, 3*w^3 - 5*w^2 - 7*w]', '[811, 811, -2*w^3 - w^2 + 9*w]', '[811, 811, -5*w^3 + 5*w^2 + 9*w - 5]', '[821, 821, -w^3 + 3*w^2 + 4*w - 8]', '[821, 821, -3*w^3 + 7*w + 6]', '[821, 821, -3*w^3 + w^2 + 6*w + 5]', '[821, 821, 5*w^3 - 8*w^2 - 9*w + 5]', '[829, 829, -w^3 + w^2 + w - 6]', '[829, 829, 5*w^3 - 6*w^2 - 9*w + 3]', '[839, 839, -4*w^3 + 2*w^2 + 14*w - 3]', '[839, 839, 5*w^3 - 7*w^2 - 7*w + 4]', '[841, 29, w^3 - w^2 - 2*w + 6]', '[841, 29, -w^2 + 6*w + 1]', '[859, 859, -4*w^3 + 2*w^2 + 13*w - 2]', '[859, 859, 5*w^3 - 6*w^2 - 12*w + 2]', '[869, 869, w^3 - 6*w^2 + w + 5]', '[869, 869, -w^3 + 8*w - 3]', '[869, 869, -4*w^3 + 3*w^2 + 14*w + 1]', '[869, 869, w^3 - 6*w^2 + w + 12]', '[881, 881, -2*w^3 + 4*w^2 + w - 9]', '[881, 881, -6*w^3 + 9*w^2 + 12*w - 7]', '[891, 33, 3*w^3 - 6*w^2 - 3*w + 9]', '[891, 33, -3*w^3 + 9*w]', '[899, 899, 4*w^3 - 5*w^2 - 11*w + 1]', '[899, 899, -w^2 - 3*w + 6]', '[911, 911, 5*w^3 - 6*w^2 - 11*w]', '[911, 911, -w^3 + 4*w^2 + 4*w - 8]', '[929, 929, 5*w^3 - 8*w^2 - 11*w + 7]', '[929, 929, -4*w^3 + 13*w + 3]', '[929, 929, 3*w^3 - 7*w^2 - w + 8]', '[929, 929, -6*w^3 + 5*w^2 + 16*w - 5]', '[931, 133, -w^2 - w - 4]', '[931, 133, 5*w^3 - 3*w^2 - 11*w]', '[931, 133, 2*w^3 - 3*w^2 - 5*w + 9]', '[931, 133, -6*w^3 + 8*w^2 + 11*w - 7]', '[941, 941, -4*w^3 + w^2 + 11*w]', '[941, 941, -2*w^3 - w^2 + 10*w - 1]', '[941, 941, -5*w^3 + 5*w^2 + 9*w]', '[941, 941, -5*w^2 + 5*w + 6]', '[961, 31, -5*w^3 + 5*w^2 + 10*w - 3]', '[961, 31, 5*w^3 - 5*w^2 - 10*w + 2]', '[961, 961, -5*w^3 + 7*w^2 + 12*w - 5]', '[961, 961, w^3 + w^2 - 5]', '[971, 971, -2*w^3 - 3*w^2 + 8*w + 7]', '[971, 971, 3*w^3 - 8*w^2 - 2*w + 9]', '[976, 122, 4*w^3 - 6*w^2 - 8*w]', '[976, 122, -6*w^3 + 8*w^2 + 14*w - 6]', '[979, 979, -3*w^3 + 5*w^2 + 2*w - 6]', '[979, 979, -5*w^3 + 3*w^2 + 14*w - 2]', '[979, 979, 4*w^3 - 3*w^2 - 13*w + 7]', '[979, 979, -w^2 + 5*w + 6]', '[1021, 1021, -2*w^3 + 4*w^2 - w - 5]', '[1021, 1021, 3*w^3 - 6*w^2 - 8*w + 4]', '[1021, 1021, 3*w^3 - w^2 - 10*w + 3]', '[1021, 1021, -w^3 + 3*w^2 - 2*w - 7]', '[1025, 205, -2*w^3 + 2*w^2 + 9*w - 1]', '[1025, 205, -3*w^3 + 3*w^2 + 11*w - 4]', '[1049, 1049, 5*w^3 - 6*w^2 - 8*w + 2]', '[1049, 1049, -w^3 - 4*w^2 + 6*w + 6]', '[1049, 1049, -w^3 + 3*w^2 + 4*w - 9]', '[1049, 1049, -3*w^3 + 5*w^2 + 8*w - 1]', '[1061, 1061, w^3 + 4*w^2 - 7*w - 8]', '[1061, 1061, -2*w^3 + 2*w^2 + 9*w - 3]', '[1091, 1091, 5*w^3 - 7*w^2 - 13*w + 5]', '[1091, 1091, 3*w^3 - 7*w^2 - 2*w + 10]', '[1109, 1109, -3*w^2 + 10]', '[1109, 1109, -6*w^3 + 6*w^2 + 13*w - 5]', '[1109, 1109, 4*w^3 - 3*w^2 - 14*w + 3]', '[1109, 1109, -5*w^3 + 4*w^2 + 13*w - 6]', '[1111, 1111, 7*w^3 - 10*w^2 - 19*w + 14]', '[1111, 1111, w^3 - 4*w^2 - 7*w + 3]', '[1111, 1111, -3*w^3 + 8*w^2 + 6*w - 11]', '[1111, 1111, -2*w^3 + 7*w^2 + 4*w - 9]', '[1129, 1129, w^3 + 4*w^2 - 5*w - 9]', '[1129, 1129, 5*w^3 - 3*w^2 - 13*w + 3]', '[1151, 1151, -3*w^3 + w^2 + 10*w - 4]', '[1151, 1151, -w^3 + 8*w - 2]', '[1151, 1151, -3*w^3 + 11*w]', '[1151, 1151, -4*w^3 + 2*w^2 + 11*w - 3]', '[1159, 1159, -3*w^3 + 5*w^2 + 8*w - 13]', '[1159, 1159, 6*w^3 - 4*w^2 - 12*w - 3]', '[1159, 1159, -6*w^3 + 5*w^2 + 14*w - 1]', '[1159, 1159, -3*w^3 + 5*w^2 + 3*w + 3]', '[1171, 1171, 5*w^2 - 4*w - 10]', '[1171, 1171, 6*w^3 - 7*w^2 - 12*w + 4]', '[1181, 1181, -4*w^3 + 5*w^2 + 11*w]', '[1181, 1181, w^2 + 3*w - 7]', '[1189, 1189, -6*w^3 + 7*w^2 + 12*w - 6]', '[1189, 1189, -5*w^3 + 4*w^2 + 10*w - 2]', '[1199, 1199, w^3 + 4*w^2 - 6*w - 9]', '[1199, 1199, -6*w^3 + 6*w^2 + 13*w - 2]', '[1199, 1199, 2*w^3 - 7*w^2 + 7]', '[1199, 1199, w^3 - 6*w^2 + 2*w + 10]', '[1199, 1199, -3*w^3 + 2*w^2 + 13*w - 6]', '[1199, 1199, -7*w^3 + 7*w^2 + 21*w - 9]', '[1199, 1199, 3*w^3 - 2*w^2 - 13*w - 3]', '[1199, 1199, -2*w^3 + 2*w^2 + 6*w + 5]', '[1201, 1201, w^3 + w - 5]', '[1201, 1201, 5*w^3 - 6*w^2 - 13*w + 2]', '[1225, 35, -4*w^3 + 7*w^2 + 9*w - 5]', '[1225, 35, -3*w^2 - w + 8]', '[1229, 1229, 6*w^3 - 7*w^2 - 14*w + 2]', '[1229, 1229, -4*w^3 + w^2 + 14*w]', '[1231, 1231, 5*w^3 - 8*w^2 - 12*w + 7]', '[1231, 1231, -3*w^3 + 2*w^2 + 12*w - 3]', '[1231, 1231, 2*w^3 - 6*w^2 + 11]', '[1231, 1231, -2*w^3 + w^2 + 10*w + 1]', '[1249, 1249, w^3 - 4*w - 7]', '[1249, 1249, -w^2 + 2*w - 5]', '[1259, 1259, w^3 - 6*w^2 + w + 11]', '[1259, 1259, 6*w^3 - 7*w^2 - 12*w + 5]', '[1264, 158, 4*w^3 - 8*w^2 - 6*w + 4]', '[1264, 158, 2*w^3 + 2*w^2 - 6*w - 10]', '[1271, 1271, w^3 + 2*w^2 - 2*w - 8]', '[1271, 1271, 3*w^3 + w^2 - 7*w - 7]', '[1271, 1271, -6*w^3 + 10*w^2 + 11*w - 8]', '[1271, 1271, -4*w^3 + 7*w^2 + 8*w - 4]', '[1279, 1279, 3*w^3 - 6*w^2 - 2*w + 8]', '[1279, 1279, -4*w^3 + w^2 + 12*w]', '[1289, 1289, 4*w^3 - 3*w^2 - 14*w + 2]', '[1289, 1289, -6*w^3 + 6*w^2 + 13*w - 4]', '[1289, 1289, 2*w^3 - 3*w^2 - 3*w - 4]', '[1289, 1289, w^2 - 8]', '[1291, 1291, 5*w^3 - 8*w^2 - 9*w + 4]', '[1291, 1291, 4*w^3 - 6*w^2 - 11*w + 3]', '[1296, 6, -6]', '[1301, 1301, 2*w^3 - 7*w^2 - 3*w + 8]', '[1301, 1301, -5*w^3 + 2*w^2 + 13*w - 1]', '[1301, 1301, -2*w^3 + 7*w^2 + 3*w - 11]', '[1301, 1301, 3*w^3 - 3*w^2 - 8*w - 5]', '[1319, 1319, 8*w^3 - 7*w^2 - 20*w + 2]', '[1319, 1319, 8*w^3 - 10*w^2 - 17*w + 8]', '[1321, 1321, 5*w^3 - 6*w^2 - 6*w + 3]', '[1321, 1321, -4*w^3 + w^2 + 16*w + 1]', '[1321, 1321, -3*w^3 + 4*w^2 + 6*w - 10]', '[1321, 1321, 8*w^3 - 7*w^2 - 20*w + 3]', '[1331, 11, w^3 - 3*w^2 + 3*w + 6]', '[1331, 11, -4*w^3 + 2*w^2 + 13*w - 3]', '[1331, 121, 5*w^3 - 4*w^2 - 14*w + 6]', '[1331, 121, -2*w^3 + 3*w^2 - 6]', '[1331, 1331, -3*w^3 + 8*w^2 + 3*w - 10]', '[1331, 1331, -w^3 - 4*w^2 + 5*w + 7]', '[1361, 1361, 5*w^3 - 7*w^2 - 7*w + 9]', '[1361, 1361, -6*w^3 + 4*w^2 + 15*w - 4]', '[1381, 1381, 7*w^3 - 9*w^2 - 17*w + 7]', '[1381, 1381, 8*w^3 - 9*w^2 - 19*w + 4]', '[1399, 1399, -w^3 - 5*w^2 + 7*w + 6]', '[1399, 1399, -2*w^3 + 8*w^2 - w - 13]', '[1399, 1399, 3*w^2 - 2*w - 12]', '[1399, 1399, -2*w^3 + 4*w^2 + 5*w - 12]', '[1409, 1409, -4*w^3 + 5*w^2 + 13*w - 5]', '[1409, 1409, 6*w^3 - 2*w^2 - 17*w - 2]', '[1421, 203, -4*w^3 + 2*w^2 + 11*w - 4]', '[1421, 203, 3*w^3 - 5*w^2 - 3*w + 9]', '[1424, 178, -6*w^3 + 8*w^2 + 10*w - 6]', '[1424, 178, 6*w^3 - 4*w^2 - 14*w]', '[1429, 1429, -w^3 + 6*w^2 - 2*w - 9]', '[1429, 1429, 7*w^3 - 7*w^2 - 16*w + 3]', '[1439, 1439, 3*w^3 - 7*w^2 - 6*w + 4]', '[1439, 1439, 7*w^3 - 10*w^2 - 12*w + 8]', '[1441, 1441, -6*w^3 + 8*w^2 + 10*w - 5]', '[1441, 1441, -w^3 + w^2 - 7]', '[1441, 1441, 8*w^3 - 9*w^2 - 18*w + 9]', '[1441, 1441, -w^3 + 3*w^2 + w + 3]', '[1471, 1471, 6*w^3 - 9*w^2 - 14*w + 8]', '[1471, 1471, -6*w^3 + 5*w^2 + 16*w - 6]', '[1481, 1481, -5*w^3 + 2*w^2 + 16*w]', '[1481, 1481, 2*w^3 - 5*w^2 + 2*w + 6]', '[1489, 1489, -7*w^3 + 7*w^2 + 16*w - 5]', '[1489, 1489, -3*w^3 + 8*w^2 + 4*w - 11]', '[1499, 1499, -w^3 + 3*w^2 + 2*w - 11]', '[1499, 1499, 6*w^3 - 4*w^2 - 18*w + 3]', '[1499, 1499, -2*w^3 + 7*w^2 + 3*w - 10]', '[1499, 1499, -3*w^3 + 8*w^2 + 2*w - 14]', '[1501, 1501, -w^3 + 4*w^2 - 4*w + 4]', '[1501, 1501, -8*w^3 + 8*w^2 + 19*w - 4]', '[1501, 1501, 5*w^3 - 5*w^2 - 7*w + 1]', '[1501, 1501, 4*w^3 - w^2 - 14*w - 10]', '[1511, 1511, w^3 - 2*w - 8]', '[1511, 1511, -2*w^3 + 7*w^2 + 2*w - 11]', '[1519, 217, 3*w^3 - 8*w^2 - 4*w + 10]', '[1519, 217, -2*w^3 + 2*w^2 + 10*w - 5]', '[1519, 217, 5*w^2 - 2*w - 8]', '[1519, 217, 4*w^3 - 4*w^2 - 14*w + 1]', '[1525, 305, -4*w^3 + 3*w^2 + 6*w + 4]', '[1525, 305, -w^3 + 4*w^2 + 3*w - 11]', '[1529, 1529, 5*w^3 - 8*w^2 - 10*w + 5]', '[1529, 1529, 7*w^3 - 10*w^2 - 16*w + 9]', '[1529, 1529, 6*w^3 - 11*w^2 - 10*w + 17]', '[1529, 1529, -5*w^3 + 6*w^2 + 16*w - 10]', '[1529, 1529, w^3 + 2*w^2 - w - 7]', '[1529, 1529, -5*w^3 + 3*w^2 + 14*w - 3]', '[1529, 1529, 2*w^3 - 7*w^2 - 2*w + 8]', '[1529, 1529, -3*w^3 + 5*w^2 + 10*w - 13]', '[1539, 57, 3*w^3 - 6*w - 6]', '[1539, 57, -6*w^3 + 9*w^2 + 12*w - 6]', '[1549, 1549, -6*w^3 + 3*w^2 + 16*w - 1]', '[1549, 1549, 3*w^3 - 4*w^2 - 7*w - 4]', '[1559, 1559, -7*w^3 + 8*w^2 + 15*w - 6]', '[1559, 1559, -7*w^3 + 7*w^2 + 16*w - 4]', '[1559, 1559, -5*w^3 + 7*w^2 + 15*w - 9]', '[1559, 1559, -4*w^3 + w^2 + 16*w + 2]', '[1609, 1609, -4*w^3 + 13*w + 2]', '[1609, 1609, 6*w^3 - 5*w^2 - 19*w + 1]', '[1616, 202, -6*w^3 + 10*w^2 + 14*w - 10]', '[1616, 202, -4*w^2 - 2*w + 8]', '[1619, 1619, 2*w^3 + 3*w^2 - 11*w - 3]', '[1619, 1619, 5*w^3 - 7*w^2 - 10*w]', '[1619, 1619, 6*w^3 - 6*w^2 - 17*w]', '[1619, 1619, 6*w^3 - 5*w^2 - 13*w + 3]', '[1621, 1621, -5*w^3 + 4*w^2 + 15*w - 7]', '[1621, 1621, 6*w^3 - 7*w^2 - 16*w + 3]', '[1639, 1639, w^3 - 4*w^2 + 3*w + 8]', '[1639, 1639, 5*w^3 - 10*w^2 - 6*w + 13]', '[1639, 1639, -w^2 + w + 8]', '[1639, 1639, 5*w^2 - 3*w - 8]', '[1639, 1639, -4*w^3 - w^2 + 12*w + 3]', '[1639, 1639, -9*w^3 + 11*w^2 + 20*w - 10]', '[1639, 1639, -3*w^3 + 11*w - 1]', '[1639, 1639, 5*w^3 - 5*w^2 - 16*w + 6]', '[1669, 1669, -7*w^3 + 5*w^2 + 17*w - 1]', '[1669, 1669, 5*w^3 - 6*w^2 - 12*w - 1]', '[1669, 1669, -6*w^3 + 9*w^2 + 13*w - 7]', '[1669, 1669, 4*w^2 + w - 9]', '[1681, 41, -w^3 + 7*w^2 - 3*w - 13]', '[1681, 41, 6*w^3 - 5*w^2 - 19*w + 4]', '[1681, 1681, -3*w^3 + 4*w^2 + 8*w - 11]', '[1681, 1681, -4*w^3 + 8*w^2 + 3*w - 9]', '[1691, 1691, -4*w^3 + 7*w^2 + 8*w - 3]', '[1691, 1691, -w^3 + w^2 + 8*w - 9]', '[1691, 1691, 5*w^3 - 5*w^2 - 16*w - 3]', '[1691, 1691, -w^3 - 2*w^2 + 2*w + 9]', '[1699, 1699, 2*w^3 - 4*w^2 - 4*w - 3]', '[1699, 1699, -2*w^3 + 11*w]', '[1709, 1709, -w^3 + w^2 + w - 7]', '[1709, 1709, 6*w^3 - 7*w^2 - 11*w + 3]', '[1721, 1721, -4*w^3 + 6*w^2 + 13*w - 7]', '[1721, 1721, 8*w^3 - 9*w^2 - 18*w + 7]', '[1744, 218, 6*w^3 - 10*w^2 - 10*w + 6]', '[1744, 218, -4*w^3 + 14*w + 2]', '[1744, 218, 8*w^3 - 10*w^2 - 18*w + 6]', '[1744, 218, -4*w^3 + 10*w + 8]', '[1759, 1759, -3*w^3 - 2*w^2 + 11*w + 3]', '[1759, 1759, 3*w^3 - 8*w^2 - w + 12]', '[1769, 1769, w^3 - 4*w^2 + 5*w + 6]', '[1769, 1769, -4*w^3 + 8*w^2 + 5*w - 13]', '[1801, 1801, -2*w^3 + 7*w^2 - 3*w - 9]', '[1801, 1801, 7*w^3 - 8*w^2 - 18*w + 4]', '[1831, 1831, 5*w^3 - 10*w^2 - 9*w + 8]', '[1831, 1831, w^3 + 4*w^2 - 3*w - 11]', '[1831, 1831, 6*w^3 - 9*w^2 - 11*w + 4]', '[1831, 1831, -4*w^3 + w^2 + 9*w + 7]', '[1859, 143, -4*w^3 + w^2 + 12*w - 1]', '[1859, 143, 7*w^3 - 7*w^2 - 20*w + 11]', '[1859, 143, -3*w^3 + 6*w^2 + 2*w - 9]', '[1859, 143, w^3 - w^2 + 4*w + 5]', '[1861, 1861, -6*w^3 + 6*w^2 + 11*w]', '[1861, 1861, 6*w^3 - 7*w^2 - 11*w + 4]', '[1861, 1861, -2*w^3 + 2*w^2 + 3*w - 8]', '[1861, 1861, -6*w^2 + 6*w + 7]', '[1871, 1871, -7*w^3 + 5*w^2 + 17*w + 1]', '[1871, 1871, -6*w^3 + 8*w^2 + 9*w - 4]', '[1879, 1879, -6*w^3 + 5*w^2 + 12*w + 1]', '[1879, 1879, -2*w^3 + 5*w^2 + 6*w - 12]', '[1879, 1879, w^3 - 7*w^2 + 4*w + 7]', '[1879, 1879, -5*w^3 + w^2 + 17*w + 2]', '[1891, 1891, 3*w^3 - 15*w - 5]', '[1891, 1891, 2*w^3 - 9*w^2 + 4*w + 7]', '[1891, 1891, -6*w^3 + 5*w^2 + 19*w - 2]', '[1891, 1891, -5*w^3 + 11*w^2 + 7*w - 14]', '[1919, 1919, w^3 + w^2 + w + 5]', '[1919, 1919, -6*w^3 + 8*w^2 + 15*w - 16]', '[1919, 1919, -6*w^3 + 5*w^2 + 12*w - 4]', '[1919, 1919, 7*w^3 - 8*w^2 - 14*w + 8]', '[1931, 1931, 3*w^3 - 7*w^2 - 7*w + 4]', '[1931, 1931, 7*w^3 - 8*w^2 - 17*w + 3]', '[1936, 22, 6*w^3 - 6*w^2 - 12*w + 2]', '[1936, 22, -6*w^3 + 6*w^2 + 12*w - 4]', '[1936, 242, 4*w^3 - 4*w^2 - 14*w + 2]', '[1936, 242, 2*w^3 - 2*w^2 - 10*w + 4]', '[1951, 1951, -4*w^3 + 6*w^2 + 10*w - 1]', '[1951, 1951, 2*w^2 + 2*w - 9]', '[1969, 1969, 10*w^3 - 11*w^2 - 23*w + 12]', '[1969, 1969, -2*w^3 + 2*w^2 + w - 9]', '[1969, 1969, -3*w^3 - 3*w^2 + 14*w + 5]', '[1969, 1969, 8*w^3 - 11*w^2 - 17*w + 8]', '[1969, 1969, -w^3 - 2*w^2 + 12*w + 7]', '[1969, 1969, 2*w^3 - 3*w - 7]', '[1969, 1969, 8*w^3 - 8*w^2 - 21*w + 10]', '[1969, 1969, -2*w^3 + 4*w^2 - 9]', '[1975, 395, -2*w^3 + 2*w^2 - w + 4]', '[1975, 395, -7*w^3 + 7*w^2 + 19*w - 1]', '[1999, 1999, 4*w^3 - 8*w^2 - 7*w + 4]', '[1999, 1999, w^3 + 3*w^2 - 3*w - 11]', '[2009, 287, 7*w^3 - 10*w^2 - 17*w + 9]', '[2009, 287, -5*w^3 + 2*w^2 + 13*w - 2]', '[2009, 287, -6*w^3 + 5*w^2 + 16*w - 7]', '[2009, 287, 3*w^3 - 12*w + 2]', '[2011, 2011, -6*w^3 + 7*w^2 + 18*w - 6]', '[2011, 2011, -w^3 + 2*w^2 + 8*w - 4]', '[2025, 15, -6*w^3 + 6*w^2 + 12*w - 3]', '[2069, 2069, -4*w^3 + w^2 + 8*w + 6]', '[2069, 2069, -7*w^3 + 10*w^2 + 14*w - 6]', '[2071, 2071, 6*w^3 - 7*w^2 - 10*w + 2]', '[2071, 2071, 7*w^3 - 6*w^2 - 16*w]', '[2071, 2071, 2*w^3 - 4*w^2 - 7*w + 15]', '[2071, 2071, -5*w^3 + 3*w^2 + 17*w + 9]', '[2071, 2071, w^3 - 7*w^2 + 4*w + 10]', '[2071, 2071, 8*w^3 - 7*w^2 - 19*w]', '[2071, 2071, 4*w^3 - w^2 - 17*w - 5]', '[2071, 2071, 2*w^2 - 7*w + 8]', '[2096, 262, -6*w^3 + 4*w^2 + 16*w - 4]', '[2096, 262, 2*w^3 + 2*w^2 - 10*w]', '[2099, 2099, -2*w^3 - 4*w^2 + 9*w + 8]', '[2099, 2099, -3*w^3 + 9*w^2 + w - 11]', '[2101, 2101, 7*w^3 - 6*w^2 - 20*w + 7]', '[2101, 2101, -5*w^3 + 7*w^2 + 12*w - 3]', '[2101, 2101, 2*w^3 - 5*w^2 - 6*w + 13]', '[2101, 2101, -w^3 + 4*w^2 - 3*w - 9]', '[2111, 2111, 4*w^3 - 7*w^2 - 8*w + 1]', '[2111, 2111, -7*w^3 + 9*w^2 + 13*w - 7]', '[2111, 2111, -3*w^3 - w^2 + 12*w + 1]', '[2111, 2111, -6*w^3 + 4*w^2 + 13*w]', '[2129, 2129, 6*w^3 - 5*w^2 - 17*w + 7]', '[2129, 2129, -3*w^3 - 2*w^2 + 12*w + 3]', '[2131, 2131, -4*w^3 + 11*w]', '[2131, 2131, 4*w^3 - w^2 - 15*w + 2]', '[2141, 2141, 5*w^3 - 8*w^2 - 13*w + 6]', '[2141, 2141, -7*w^3 + 7*w^2 + 15*w - 6]', '[2141, 2141, 5*w^3 - 4*w^2 - 17*w + 4]', '[2141, 2141, -w^3 + 4*w^2 + 5*w - 9]', '[2161, 2161, 2*w^3 - 5*w^2 + 3*w + 6]', '[2161, 2161, -6*w^3 + 3*w^2 + 19*w - 1]', '[2179, 2179, -w^3 + 3*w^2 - 3*w - 8]', '[2179, 2179, w^3 + 5*w^2 - 8*w - 10]', '[2179, 2179, 4*w^3 - 2*w^2 - 13*w + 5]', '[2179, 2179, -8*w^3 + 9*w^2 + 17*w - 4]', '[2221, 2221, 4*w^3 - 5*w^2 - 14*w + 3]', '[2221, 2221, 3*w^3 - 9*w^2 - w + 9]', '[2224, 278, -2*w^3 + 4*w^2 + 4*w - 12]', '[2224, 278, 4*w^3 - 10*w^2 - 4*w + 12]', '[2224, 278, 6*w^3 - 10*w^2 - 12*w + 8]', '[2224, 278, -4*w^3 + 4*w^2 + 14*w - 4]', '[2225, 445, -w^3 + 5*w - 7]', '[2225, 445, -w^3 + 5*w + 8]', '[2239, 2239, -5*w^3 + 8*w^2 + 11*w - 5]', '[2239, 2239, -7*w^3 + 6*w^2 + 16*w - 3]', '[2239, 2239, -6*w^3 + 7*w^2 + 10*w - 5]', '[2239, 2239, 6*w^3 - 7*w^2 - 14*w]', '[2251, 2251, w^3 + 5*w^2 - 8*w - 9]', '[2251, 2251, -3*w^3 + 3*w^2 + 12*w - 4]', '[2281, 2281, -3*w^3 - 2*w^2 + 13*w + 3]', '[2281, 2281, -5*w^3 + 3*w^2 + 15*w - 4]', '[2291, 2291, -7*w^3 + 4*w^2 + 20*w - 1]', '[2291, 2291, 4*w^3 - 7*w^2 - 2*w + 7]', '[2299, 209, -4*w^3 + 6*w^2 + 11*w - 1]', '[2299, 209, 5*w^3 - 6*w^2 - 13*w - 1]', '[2299, 209, -w^3 + 3*w^2 + 5*w - 10]', '[2299, 209, -w^3 - w + 8]', '[2299, 2299, -3*w^2 - w + 10]', '[2299, 2299, -7*w^3 + 8*w^2 + 14*w - 4]', '[2299, 2299, -6*w^3 + 5*w^2 + 12*w]', '[2299, 2299, 4*w^3 - 7*w^2 - 9*w + 3]', '[2309, 2309, 6*w^3 - 6*w^2 - 11*w + 1]', '[2309, 2309, -6*w^2 + 5*w + 7]', '[2311, 2311, -5*w^3 + 2*w^2 + 15*w - 1]', '[2311, 2311, -3*w^3 + 6*w^2 + w - 8]', '[2311, 2311, -7*w^3 + 8*w^2 + 14*w - 7]', '[2311, 2311, -6*w^3 + 5*w^2 + 12*w - 3]', '[2321, 2321, 2*w^3 - 5*w^2 - 7*w + 11]', '[2321, 2321, -3*w^3 + 6*w + 7]', '[2321, 2321, -7*w^3 + 9*w^2 + 16*w - 5]', '[2321, 2321, -3*w^3 + 7*w^2 + 8*w - 4]', '[2339, 2339, 6*w^3 - 7*w^2 - 10*w + 3]', '[2339, 2339, 2*w^3 - 3*w^2 - 3*w + 10]', '[2341, 2341, 5*w^3 - 7*w^2 - 11*w + 1]', '[2341, 2341, -2*w^3 - 3*w^2 + 10*w + 2]', '[2349, 87, -3*w^3 + 3*w^2 + 12*w - 3]', '[2351, 2351, -w^3 + 9*w - 2]', '[2351, 2351, -4*w^3 + 2*w^2 + 13*w - 6]', '[2381, 2381, -w^2 + 2*w - 6]', '[2381, 2381, w^3 - 4*w - 8]', '[2384, 298, -6*w^3 + 8*w^2 + 14*w - 4]', '[2384, 298, 2*w^3 - 2*w^2 - 6*w - 6]', '[2384, 298, 6*w^3 - 4*w^2 - 18*w + 4]', '[2384, 298, 2*w - 8]', '[2389, 2389, -3*w^3 + 2*w^2 + 13*w + 1]', '[2389, 2389, 3*w^3 - 2*w^2 - 13*w + 4]', '[2399, 2399, 4*w^3 - 3*w^2 - 15*w + 4]', '[2399, 2399, w^3 + w^2 - 4*w - 10]', '[2401, 7, 7]', '[2401, 49, -4*w^3 + w^2 + 17*w - 1]', '[2401, 49, -2*w^3 - w^2 + 13*w + 4]', '[2411, 2411, -w^3 + 6*w^2 + 3*w - 12]', '[2411, 2411, -8*w^3 + 7*w^2 + 19*w - 4]', '[2411, 2411, 6*w^3 - 7*w^2 - 9*w + 5]', '[2411, 2411, 7*w^3 - 5*w^2 - 16*w + 2]', '[2441, 2441, -3*w^3 + 6*w^2 + 9*w - 14]', '[2441, 2441, -3*w^3 - 2*w^2 + 15*w + 2]', '[2441, 2441, -7*w^3 + 5*w^2 + 17*w - 6]', '[2441, 2441, 8*w^3 - 11*w^2 - 20*w + 10]', '[2449, 2449, -5*w^3 + 4*w^2 + 17*w - 3]', '[2449, 2449, 5*w^3 - 13*w^2 - 2*w + 9]', '[2449, 2449, 5*w^3 + 3*w^2 - 18*w - 15]', '[2449, 2449, w^3 - 9*w]', '[2459, 2459, 3*w^3 + 2*w^2 - 9*w - 12]', '[2459, 2459, -5*w^3 + 6*w^2 + 16*w - 5]', '[2459, 2459, 5*w^3 - 10*w^2 - 7*w + 5]', '[2459, 2459, 2*w^3 - 8*w^2 + w + 8]', '[2489, 2489, 4*w^3 - 11*w^2 - w + 10]', '[2489, 2489, -4*w^3 + 4*w^2 + 15*w]', '[2489, 2489, w^3 + w^2 - 10*w - 2]', '[2489, 2489, -4*w^3 + 10*w^2 + 6*w - 15]', '[2501, 2501, 3*w^3 - 9*w^2 + 14]', '[2501, 2501, -3*w^3 - 3*w^2 + 12*w + 4]', '[2501, 2501, 5*w^3 - 7*w^2 - 11*w]', '[2501, 2501, -2*w^3 - 3*w^2 + 11*w + 2]', '[2511, 93, -3*w^3 + 12*w - 3]', '[2511, 93, 3*w^2 - 6*w - 9]', '[2519, 2519, w^3 - 2*w^2 - 3*w - 5]', '[2519, 2519, -w^3 + 2*w^2 + 3*w - 10]', '[2519, 2519, 6*w^3 - 5*w^2 - 12*w + 1]', '[2519, 2519, 7*w^3 - 8*w^2 - 14*w + 5]', '[2521, 2521, -6*w^3 + 3*w^2 + 21*w + 1]', '[2521, 2521, 7*w^3 - 8*w^2 - 14*w + 6]', '[2525, 505, -3*w^3 + 7*w^2 + 9*w - 13]', '[2525, 505, 4*w^3 - 8*w^2 - 11*w + 6]', '[2531, 2531, -5*w^3 + 6*w^2 + 16*w - 8]', '[2531, 2531, -2*w^3 + 4*w^2 + 3*w - 12]', '[2539, 2539, -5*w^3 + w^2 + 11*w + 7]', '[2539, 2539, 9*w^3 - 12*w^2 - 18*w + 11]', '[2539, 2539, 8*w^3 - 12*w^2 - 15*w + 8]', '[2539, 2539, 4*w^3 - 4*w^2 - 11*w - 6]', '[2549, 2549, 8*w^3 - 7*w^2 - 18*w + 6]', '[2549, 2549, 5*w^3 - 5*w^2 - 17*w + 8]', '[2579, 2579, -3*w^3 + 4*w^2 + 6*w - 11]', '[2579, 2579, -2*w^3 + 8*w^2 - 13]', '[2581, 2581, -4*w^3 + 10*w^2 + 5*w - 11]', '[2581, 2581, -w^3 - 5*w^2 + 5*w + 10]', '[2591, 2591, -w^3 - 6*w^2 + 8*w + 7]', '[2591, 2591, -2*w^3 + 9*w^2 - 2*w - 15]', '[2621, 2621, -6*w^3 + 4*w^2 + 19*w - 5]', '[2621, 2621, 7*w^3 - 10*w^2 - 10*w + 7]', '[2641, 2641, -5*w^3 + 10*w^2 + 6*w - 14]', '[2641, 2641, -10*w^3 + 14*w^2 + 22*w - 13]', '[2641, 2641, -5*w^3 + w^2 + 15*w + 1]', '[2641, 2641, 2*w^3 + 2*w^2 - 5*w - 10]', '[2641, 2641, 5*w^3 - 3*w^2 - 19*w + 9]', '[2641, 2641, 2*w^3 - 6*w^2 + 2*w + 9]', '[2641, 2641, 3*w^3 - 3*w^2 - 11*w + 12]', '[2641, 2641, 6*w^3 - 6*w^2 - 11*w + 3]', '[2671, 2671, -6*w^3 + 2*w^2 + 15*w - 1]', '[2671, 2671, -w^3 + 7*w^2 - w - 13]', '[2689, 2689, 7*w^3 - 9*w^2 - 14*w + 1]', '[2689, 2689, 2*w^3 - 7*w^2 + w + 14]', '[2699, 2699, 7*w^3 - 9*w^2 - 18*w + 6]', '[2699, 2699, -6*w^3 + 5*w^2 + 17*w - 8]', '[2704, 26, -8*w^3 + 10*w^2 + 16*w - 8]', '[2704, 26, 6*w^3 - 4*w^2 - 12*w]', '[2711, 2711, 8*w^3 - 9*w^2 - 20*w + 4]', '[2711, 2711, -4*w^3 + w^2 + 14*w - 2]', '[2719, 2719, -5*w^3 + 19*w + 3]', '[2719, 2719, 9*w^3 - 11*w^2 - 19*w + 8]', '[2719, 2719, 8*w^3 - 9*w^2 - 18*w + 1]', '[2719, 2719, -4*w^3 + 5*w^2 + 14*w - 4]', '[2725, 545, -w^3 + w^2 - 3*w + 7]', '[2725, 545, -4*w^2 + 7*w + 9]', '[2725, 545, -3*w^2 - w + 13]', '[2725, 545, 6*w^3 - 6*w^2 - 17*w - 2]', '[2729, 2729, 3*w^2 + 3*w - 8]', '[2729, 2729, 2*w^3 + w^2 - 4*w - 9]', '[2741, 2741, 6*w^2 - 5*w - 11]', '[2741, 2741, 8*w^3 - 9*w^2 - 17*w + 5]', '[2749, 2749, 2*w^3 - 7*w^2 - 5*w + 14]', '[2749, 2749, 4*w^3 + w^2 - 9*w - 8]', '[2749, 2749, 9*w^3 - 8*w^2 - 22*w + 2]', '[2749, 2749, -2*w^3 + 8*w^2 - 4*w - 11]', '[2759, 2759, 2*w^3 - 5*w^2 + w + 9]', '[2759, 2759, 8*w^3 - 2*w^2 - 23*w - 5]', '[2759, 2759, -7*w^3 + 13*w^2 + 7*w - 12]', '[2759, 2759, -4*w^3 + w^2 + 13*w - 2]', '[2761, 2761, 3*w^3 - 9*w^2 - 2*w + 12]', '[2761, 2761, -4*w^3 + 3*w^2 + 15*w - 3]', '[2761, 2761, -2*w^3 + w^2 + 11*w]', '[2761, 2761, -w^3 - 5*w^2 + 6*w + 8]', '[2791, 2791, 7*w^3 - 10*w^2 - 10*w + 6]', '[2791, 2791, -5*w^3 + 7*w^2 + 5*w - 8]', '[2791, 2791, -5*w^3 + 2*w^2 + 18*w - 3]', '[2791, 2791, -2*w^3 - w^2 + 13*w - 1]', '[2801, 2801, 3*w^2 - 2*w - 13]', '[2801, 2801, 4*w^2 - 6*w - 13]', '[2809, 53, -5*w^3 + 2*w^2 + 17*w - 2]', '[2809, 53, 7*w^3 - 8*w^2 - 17*w + 2]', '[2816, 44, -4*w^3 + 8*w^2 + 4*w - 12]', '[2816, 44, 4*w^3 - 12*w]', '[2819, 2819, -6*w^3 + 2*w^2 + 20*w + 1]', '[2819, 2819, 5*w^2 - 12]', '[2819, 2819, -w^3 + 4*w^2 + 4*w - 11]', '[2819, 2819, 5*w^3 - 10*w^2 - 10*w + 8]', '[2831, 2831, -9*w^3 + 14*w^2 + 16*w - 10]', '[2831, 2831, 6*w^3 - w^2 - 14*w - 8]', '[2831, 2831, 5*w^3 - 3*w^2 - 18*w - 1]', '[2831, 2831, -7*w^3 + 5*w^2 + 16*w + 1]', '[2831, 2831, -6*w^3 + 8*w^2 + 13*w - 2]', '[2831, 2831, 5*w^3 - 12*w^2 - 6*w + 17]', '[2831, 2831, -w^3 + 2*w^2 + 4*w - 11]', '[2831, 2831, 3*w^3 - w^2 - 5*w - 7]', '[2861, 2861, 3*w^3 - 9*w^2 - 2*w + 10]', '[2861, 2861, 4*w^3 - 6*w^2 - 14*w + 5]', '[2864, 358, -8*w^3 + 6*w^2 + 20*w - 6]', '[2864, 358, -8*w^3 + 8*w^2 + 18*w - 6]', '[2864, 358, -4*w^3 + 2*w^2 + 16*w - 2]', '[2864, 358, 8*w^3 - 6*w^2 - 16*w - 4]', '[2879, 2879, -3*w^3 + 9*w^2 + 4*w - 14]', '[2879, 2879, -8*w^3 + 9*w^2 + 17*w - 8]', '[2909, 2909, -3*w^3 + 9*w^2 + 5*w - 13]', '[2909, 2909, -3*w^3 - w^2 + 12*w]', '[2909, 2909, 4*w^3 - 7*w^2 - 9*w + 1]', '[2909, 2909, -w^3 + 3*w^2 + 2*w - 12]', '[2929, 2929, 6*w^3 - 3*w^2 - 14*w + 5]', '[2929, 2929, -7*w^3 + 10*w^2 + 12*w - 15]', '[2939, 2939, -8*w^3 + 13*w^2 + 16*w - 12]', '[2939, 2939, -5*w^3 + 7*w^2 + 16*w - 10]', '[2959, 2959, -2*w^3 + 3*w^2 + 9*w + 6]', '[2959, 2959, -4*w^3 + 5*w^2 + 13*w - 15]', '[2959, 2959, 7*w^3 - 9*w^2 - 12*w + 6]', '[2959, 2959, -7*w^3 + 5*w^2 + 16*w]', '[2969, 2969, -8*w^3 + 8*w^2 + 17*w - 8]', '[2969, 2969, -w^3 + 8*w^2 - 5*w - 13]', '[2981, 2981, 9*w^3 - 10*w^2 - 20*w + 6]', '[2981, 2981, -6*w^3 + 5*w^2 + 20*w - 6]', '[2981, 2981, 2*w^3 - w^2 - 6*w - 8]', '[2981, 2981, -6*w^2 + 5*w + 10]', '[2989, 427, 6*w^3 - 6*w^2 - 9*w + 1]', '[2989, 427, -2*w^3 + 8*w^2 + 2*w - 13]', '[2989, 427, 6*w^2 - 5*w - 9]', '[2989, 427, -9*w^3 + 11*w^2 + 19*w - 11]', '[2999, 2999, -6*w^3 + 2*w^2 + 21*w]', '[2999, 2999, w^3 - 5*w^2 + 7*w + 7]', '[3001, 3001, -9*w^3 + 9*w^2 + 21*w - 7]', '[3001, 3001, 6*w^3 - 6*w^2 - 9*w + 4]', '[3011, 3011, 8*w^3 - 11*w^2 - 14*w + 8]', '[3011, 3011, -5*w^3 + 3*w^2 + 14*w - 6]', '[3011, 3011, -3*w^3 + 5*w^2 + 2*w - 10]', '[3011, 3011, 7*w^3 - 4*w^2 - 16*w - 2]', '[3019, 3019, -w^3 + 4*w^2 + w - 14]', '[3019, 3019, -3*w^3 + 9*w^2 + 5*w - 12]', '[3025, 55, -w^3 + w^2 + 2*w - 8]', '[3025, 55, -w^3 + w^2 + 2*w + 7]', '[3025, 605, -6*w^2 + 3*w + 11]', '[3025, 605, 3*w^3 - 9*w^2 - 3*w + 10]', '[3041, 3041, 4*w^3 + w^2 - 11*w - 11]', '[3041, 3041, -5*w^3 - w^2 + 17*w + 5]', '[3041, 3041, -2*w^3 - 5*w^2 + 10*w + 8]', '[3041, 3041, -6*w^3 + 5*w^2 + 18*w - 9]', '[3049, 3049, -6*w^3 + 8*w^2 + 18*w - 9]', '[3049, 3049, 4*w^3 - 9*w^2 - 8*w + 6]', '[3049, 3049, 3*w^3 - 2*w^2 - 6*w - 9]', '[3049, 3049, -5*w^3 + w^2 + 13*w - 1]', '[3056, 382, -2*w^3 + 8*w^2 - 12]', '[3056, 382, -8*w^3 + 8*w^2 + 18*w - 4]', '[3061, 3061, -3*w^3 - 4*w^2 + 12*w + 9]', '[3061, 3061, 2*w^3 - 8*w^2 + 3*w + 13]', '[3061, 3061, -3*w^3 - 3*w^2 + 13*w + 4]', '[3061, 3061, 4*w^3 - 11*w^2 - 2*w + 13]', '[3089, 3089, -3*w^3 + 5*w^2 + 2*w - 11]', '[3089, 3089, -5*w^3 + 5*w^2 + 17*w - 2]', '[3091, 3091, 11*w^3 - 14*w^2 - 23*w + 10]', '[3091, 3091, 2*w^3 + w^2 - 13*w - 3]', '[3091, 3091, 10*w^3 - 12*w^2 - 28*w + 17]', '[3091, 3091, 7*w^3 - 4*w^2 - 13*w - 3]', '[3091, 3091, 2*w^3 - w^2 - 4*w - 9]', '[3091, 3091, 3*w^3 + 5*w^2 - 12*w - 8]', '[3091, 3091, 3*w^3 - 4*w^2 - 6*w - 5]', '[3091, 3091, -3*w^3 + 9*w^2 + 3*w - 13]', '[3121, 3121, w^3 + 6*w^2 - 7*w - 7]', '[3121, 3121, -3*w^3 + 10*w^2 + w - 16]', '[3131, 3131, -w^3 - 6*w^2 + 3*w + 10]', '[3131, 3131, 3*w^3 - 5*w^2 - 12*w + 7]', '[3131, 3131, -5*w^3 + 7*w^2 + 16*w - 7]', '[3131, 3131, -7*w^3 + 14*w^2 + 13*w - 17]', '[3161, 3161, 4*w^3 - 10*w^2 - 3*w + 16]', '[3161, 3161, 6*w^3 - w^2 - 18*w - 3]', '[3161, 3161, 5*w^3 - 10*w^2 - 4*w + 11]', '[3161, 3161, -3*w^3 + 6*w + 8]', '[3169, 3169, -8*w^3 + 7*w^2 + 21*w - 8]', '[3169, 3169, 7*w^3 - 11*w^2 - 16*w + 10]', '[3191, 3191, 7*w^3 - 6*w^2 - 19*w + 8]', '[3191, 3191, 6*w^3 - 7*w^2 - 15*w]', '[3191, 3191, -6*w^3 + 10*w^2 + 13*w - 8]', '[3191, 3191, 7*w^3 - 10*w^2 - 17*w + 8]', '[3209, 3209, 9*w^3 - 12*w^2 - 21*w + 10]', '[3209, 3209, 5*w^3 - 8*w^2 - 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10]', '[3301, 3301, -8*w^3 + 5*w^2 + 21*w - 3]', '[3319, 3319, -5*w^3 + 7*w^2 + 16*w - 9]', '[3319, 3319, -7*w^3 + 7*w^2 + 13*w]', '[3319, 3319, -9*w^3 + 9*w^2 + 21*w - 5]', '[3319, 3319, -7*w^2 + 7*w + 8]', '[3321, 123, -9*w^3 + 9*w^2 + 21*w - 6]', '[3321, 123, -3*w^3 + 15*w]', '[3344, 418, 2*w^2 + 4*w - 8]', '[3344, 418, 6*w^2 - 4*w - 10]', '[3344, 418, 2*w^3 - 8*w^2 + 10]', '[3344, 418, 6*w^3 - 8*w^2 - 16*w + 4]', '[3361, 3361, 4*w^3 - 11*w + 2]', '[3361, 3361, -6*w^3 + 3*w^2 + 19*w - 2]', '[3371, 3371, 8*w^3 - 10*w^2 - 17*w + 3]', '[3371, 3371, 4*w^2 - 13]', '[3371, 3371, -4*w^3 - w^2 + 17*w + 2]', '[3371, 3371, -5*w^3 + 3*w^2 + 9*w + 6]', '[3376, 422, 4*w^3 - 2*w^2 - 16*w]', '[3376, 422, -2*w^3 + 8*w^2 + 2*w - 10]', '[3379, 3379, 6*w^3 - 14*w^2 - 6*w + 17]', '[3379, 3379, 3*w^3 - w^2 - 14*w + 1]', '[3379, 3379, 3*w^3 - w^2 - 14*w - 1]', '[3379, 3379, -2*w^3 + 3*w^2 + 2*w + 6]', '[3379, 3379, 8*w^3 - 5*w^2 - 26*w]', '[3379, 3379, -7*w^3 - 2*w^2 + 23*w + 14]', '[3379, 3379, 7*w^3 - 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3*w^2 - 22*w + 1]', '[4679, 4679, -w^3 - 2*w^2 + 12*w + 3]', '[4691, 4691, -10*w^3 + 12*w^2 + 20*w - 5]', '[4691, 4691, -9*w^3 + 8*w^2 + 24*w - 9]', '[4691, 4691, -2*w^3 - 4*w^2 + 11*w + 2]', '[4691, 4691, -2*w^3 + 9*w^2 + 3*w - 14]', '[4729, 4729, -4*w^3 + 15*w - 1]', '[4729, 4729, 4*w^3 - 8*w^2 - 9*w + 1]', '[4741, 4741, -3*w^3 + 2*w^2 + 14*w - 4]', '[4741, 4741, w^3 - 8*w^2 - w + 12]', '[4741, 4741, -5*w^3 + 7*w^2 + 6*w - 11]', '[4741, 4741, -3*w^3 + 2*w^2 - 7]', '[4741, 4741, -9*w^3 + 12*w^2 + 25*w - 15]', '[4741, 4741, 10*w^3 - 11*w^2 - 26*w + 17]', '[4741, 4741, -7*w^2 + 4*w + 8]', '[4741, 4741, 7*w^3 - 5*w^2 - 18*w + 7]', '[4751, 4751, 9*w^3 - 13*w^2 - 17*w + 7]', '[4751, 4751, 3*w^3 + 4*w^2 - 16*w - 5]', '[4751, 4751, 4*w^3 - 9*w^2 - 10*w + 6]', '[4751, 4751, -6*w^3 + 2*w^2 + 13*w + 8]', '[4759, 4759, 5*w^3 - 2*w^2 - 14*w + 5]', '[4759, 4759, -4*w^3 + 7*w^2 + 4*w - 13]', '[4769, 4769, 3*w^3 - 3*w^2 - 8*w - 7]', '[4769, 4769, -9*w^3 + 12*w^2 + 16*w - 7]', '[4769, 4769, 8*w^3 - 5*w^2 - 18*w - 3]', '[4769, 4769, -w^3 + w^2 + 9]', '[4775, 955, -5*w^3 + 4*w^2 + 18*w - 4]', '[4775, 955, 2*w^2 - w - 12]', '[4799, 4799, -5*w^3 + 4*w^2 + 19*w + 2]', '[4799, 4799, -7*w^3 + 3*w^2 + 22*w]', '[4801, 4801, 7*w^2 - 6*w - 13]', '[4801, 4801, -3*w^3 + 5*w^2 + 6*w - 14]', '[4801, 4801, 9*w^3 - 10*w^2 - 19*w + 5]', '[4801, 4801, -6*w^3 + 7*w^2 + 19*w - 8]', '[4819, 4819, 6*w^3 - 8*w^2 - 19*w + 7]', '[4819, 4819, -7*w^3 + 6*w^2 + 20*w - 10]', '[4819, 4819, 8*w^3 - 10*w^2 - 21*w + 6]', '[4819, 4819, -10*w^3 + 13*w^2 + 20*w - 11]', '[4831, 4831, -6*w^3 + 2*w^2 + 21*w - 1]', '[4831, 4831, 8*w^3 - 9*w^2 - 19*w + 1]', '[4861, 4861, 5*w^2 + w - 12]', '[4861, 4861, 6*w^3 - 11*w^2 - 13*w + 9]', '[4864, 76, -4*w^3 + 8*w + 8]', '[4864, 76, 8*w^3 - 12*w^2 - 16*w + 8]', '[4889, 4889, 5*w^3 - 2*w^2 - 14*w + 6]', '[4889, 4889, -4*w^3 + 7*w^2 + 4*w - 14]', '[4901, 377, -w^3 - 6*w^2 + 5*w + 9]', '[4901, 377, -5*w^3 + 12*w^2 + 7*w - 16]', '[4909, 4909, -9*w^3 + 11*w^2 + 18*w - 8]', '[4909, 4909, -7*w^3 + 9*w^2 + 21*w - 9]', '[4919, 4919, 6*w^3 - 8*w^2 - 7*w + 10]', '[4919, 4919, -2*w^3 - w^2 + 14*w - 2]', '[4931, 4931, -9*w^3 + 6*w^2 + 26*w - 3]', '[4931, 4931, 8*w^3 - 3*w^2 - 23*w - 2]', '[4931, 4931, 7*w^3 - 5*w^2 - 13*w - 1]', '[4931, 4931, -3*w^3 + 7*w^2 + 10*w - 14]', '[4939, 4939, -3*w^3 - w^2 + 14*w - 3]', '[4939, 4939, 6*w^3 - 11*w^2 - 9*w + 19]', '[4939, 4939, 3*w^3 - 6*w^2 + 2*w + 7]', '[4939, 4939, -7*w^3 + 3*w^2 + 18*w - 2]', '[4941, 183, 6*w^3 - 9*w^2 - 12*w]', '[4941, 183, -9*w^3 + 12*w^2 + 21*w - 9]', '[4949, 707, w^3 - 8*w^2 + 9]', '[4949, 707, 3*w^3 + 3*w^2 - 9*w - 14]', '[4949, 707, 6*w^3 - 12*w^2 - 9*w + 7]', '[4949, 707, -4*w^3 + 11*w^2 + 6*w - 17]', '[4951, 4951, -7*w^3 + 9*w^2 + 21*w - 12]', '[4951, 4951, -2*w^3 + 4*w^2 + 11*w - 3]', '[4961, 451, -2*w^3 - 6*w^2 + 13*w + 11]', '[4961, 451, 3*w^3 - 4*w^2 - 13*w + 3]', '[4961, 451, 5*w^3 - 6*w^2 - 17*w + 8]', '[4961, 451, -w^3 + 9*w^2 - 7*w - 12]', '[4961, 4961, -7*w^3 + 7*w^2 + 12*w - 5]', '[4961, 4961, -8*w^3 + 5*w^2 + 18*w - 1]', '[4961, 4961, -9*w^3 + 12*w^2 + 16*w - 11]', '[4961, 4961, -9*w^3 + 9*w^2 + 20*w - 7]', '[4969, 4969, -9*w^3 + 9*w^2 + 19*w - 9]', '[4969, 4969, -w^3 + 9*w^2 - 6*w - 15]', '[4976, 622, -2*w^3 + 14*w + 4]', '[4976, 622, 6*w^2 - 14]', '[4999, 4999, -4*w^3 - w^2 + 17*w + 1]', '[4999, 4999, -w^3 + 6*w^2 + 2*w - 16]', '[5009, 5009, -3*w^3 - 3*w^2 + 14*w + 3]', '[5009, 5009, 6*w^3 - 9*w^2 - 12*w + 1]', '[5011, 5011, 10*w^3 - 12*w^2 - 23*w + 6]', '[5011, 5011, -9*w^3 + 11*w^2 + 18*w - 9]', '[5011, 5011, -5*w^3 + 18*w + 2]', '[5011, 5011, 7*w^3 - 5*w^2 - 14*w + 1]', '[5021, 5021, -6*w^3 + 4*w^2 + 17*w - 7]', '[5021, 5021, -10*w^3 + 11*w^2 + 21*w - 3]', '[5021, 5021, -5*w^3 + 17*w + 2]', '[5021, 5021, -8*w^3 + 7*w^2 + 15*w + 2]', '[5039, 5039, -2*w^3 + 8*w^2 - 2*w - 17]', '[5039, 5039, 10*w^3 - 7*w^2 - 25*w + 1]', '[5039, 5039, -8*w^3 + 7*w^2 + 17*w - 5]', '[5039, 5039, 8*w^3 - 8*w^2 - 23*w]', '[5041, 71, -w^3 + 9*w^2 - 5*w - 17]', '[5041, 71, 8*w^3 - 7*w^2 - 25*w + 6]', '[5051, 5051, -2*w^3 + 9*w + 11]', '[5051, 5051, 7*w^3 - 10*w^2 - 18*w + 7]', '[5051, 5051, -10*w^3 + 10*w^2 + 22*w - 1]', '[5051, 5051, -8*w^3 + 8*w^2 + 14*w + 1]', '[5071, 5071, -9*w^3 + 7*w^2 + 25*w - 6]', '[5071, 5071, -3*w^3 + 5*w^2 + 14*w - 1]', '[5071, 5071, 2*w^3 - 9*w^2 - 2*w + 15]', '[5071, 5071, -3*w^2 + 7*w + 11]', '[5099, 5099, 6*w^3 - 7*w^2 - 17*w - 1]', '[5099, 5099, -10*w^3 + 9*w^2 + 24*w - 5]', '[5099, 5099, 6*w^3 - 8*w^2 - 14*w - 1]', '[5099, 5099, 5*w^3 - 6*w^2 - 18*w + 2]', '[5101, 5101, -4*w^3 + 19*w]', '[5101, 5101, -4*w^3 + 6*w^2 + 7*w - 15]', '[5104, 638, -8*w^3 + 12*w^2 + 18*w - 10]', '[5104, 638, -2*w^3 - 2*w^2 + 2*w + 8]', '[5111, 5111, -w^3 - 6*w^2 + 8*w + 11]', '[5111, 5111, 5*w^3 - 3*w^2 - 22*w + 11]', '[5111, 5111, 5*w^3 - 3*w^2 - 22*w - 7]', '[5111, 5111, 2*w^3 - 9*w^2 + 2*w + 11]', '[5119, 5119, -8*w^3 + 5*w^2 + 20*w - 5]', '[5119, 5119, 7*w^3 - 10*w^2 - 10*w + 13]', '[5149, 5149, -3*w^3 + 11*w^2 - w - 16]', '[5149, 5149, 9*w^3 - 7*w^2 - 21*w - 2]', '[5149, 5149, -w^2 - 3*w + 13]', '[5149, 5149, -6*w^3 + 2*w^2 + 23*w + 5]', '[5171, 5171, -w^3 - 3*w^2 + 12*w + 9]', '[5171, 5171, 7*w^3 - 11*w^2 - 11*w + 16]', '[5171, 5171, w^3 - 2*w^2 + w + 11]', '[5171, 5171, 9*w^3 - 10*w^2 - 23*w + 4]', '[5179, 5179, 9*w^3 - 10*w^2 - 22*w + 3]', '[5179, 5179, -5*w^3 + w^2 + 18*w - 1]', '[5189, 5189, -6*w^3 + w^2 + 21*w + 2]', '[5189, 5189, 9*w^3 - 11*w^2 - 20*w + 4]', '[5191, 5191, -3*w^3 + 10*w^2 + 4*w - 16]', '[5191, 5191, -3*w^3 - 6*w^2 + 15*w + 10]', '[5191, 5191, -2*w^3 + 9*w^2 + 5*w - 17]', '[5191, 5191, w^2 + w - 11]', '[5209, 5209, 5*w^2 - 7*w - 15]', '[5209, 5209, -2*w^3 + 4*w^2 + 9*w - 13]', '[5225, 1045, -6*w^3 + 11*w^2 + 12*w - 8]', '[5225, 1045, -4*w^3 + 3*w^2 + 16*w - 1]', '[5225, 1045, 3*w^3 - 2*w^2 - 14*w + 3]', '[5225, 1045, -w^3 - 4*w^2 + 2*w + 12]', '[5231, 5231, -2*w^3 + 3*w^2 + 12*w - 7]', '[5231, 5231, 7*w^3 - 8*w^2 - 22*w + 5]', '[5239, 403, 3*w^3 - 6*w^2 + w + 8]', '[5239, 403, -8*w^3 + 15*w^2 + 10*w - 17]', '[5239, 403, -7*w^3 + 4*w^2 + 21*w - 3]', '[5239, 403, 7*w^3 - 20*w - 5]', '[5261, 5261, 7*w^3 - 8*w^2 - 17*w - 2]', '[5261, 5261, -8*w^3 + 12*w^2 + 17*w - 9]', '[5269, 5269, -w^3 - 4*w^2 + 3*w + 14]', '[5269, 5269, -w^3 + 2*w^2 + 8*w - 11]', '[5269, 5269, -6*w^3 + 7*w^2 + 18*w + 1]', '[5269, 5269, 5*w^3 - 10*w^2 - 9*w + 5]', '[5275, 1055, -7*w^2 + 6*w + 12]', '[5275, 1055, -3*w^3 + 4*w^2 + 13*w - 5]', '[5281, 5281, 10*w^3 - 10*w^2 - 23*w + 4]', '[5281, 5281, 7*w^3 - 7*w^2 - 11*w + 1]', '[5296, 662, 2*w^3 + 4*w^2 - 6*w - 14]', '[5296, 662, 2*w^3 - 2*w^2 - 2*w + 10]', '[5309, 5309, 6*w^3 - 12*w^2 - 11*w + 9]', '[5309, 5309, -w^3 - 2*w^2 + 11*w + 9]', '[5339, 5339, 5*w^3 - 7*w^2 - 8*w - 5]', '[5339, 5339, -5*w^3 - 5*w^2 + 19*w + 11]', '[5339, 5339, -6*w^3 + 16*w^2 + 3*w - 20]', '[5339, 5339, -6*w^3 + 9*w^2 + 17*w - 22]', '[5339, 5339, -10*w^3 + 5*w^2 + 22*w + 7]', '[5339, 5339, -6*w^3 + w^2 + 24*w + 4]', '[5339, 5339, -9*w^3 + 9*w^2 + 20*w - 4]', '[5339, 5339, w^3 + 4*w^2 - 14*w - 4]', '[5341, 763, -6*w^3 + 19*w + 4]', '[5341, 763, 8*w^3 - 9*w^2 - 20*w + 2]', '[5341, 763, -w^3 + 4*w^2 + w - 15]', '[5341, 763, 5*w^3 - 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12*w^2 - 16*w + 8]', '[5429, 5429, 4*w^3 - 11*w^2 - 6*w + 13]', '[5429, 5429, -w^3 + 8*w^2 - 13]', '[5431, 5431, -2*w^3 + 5*w^2 + 4*w - 16]', '[5431, 5431, -3*w^3 + 10*w^2 + 5*w - 14]', '[5441, 5441, 11*w^3 - 11*w^2 - 26*w + 5]', '[5441, 5441, -w^3 + 8*w^2 - 4*w - 11]', '[5449, 5449, 8*w^3 - 13*w^2 - 14*w + 8]', '[5449, 5449, -5*w^3 + 12*w + 10]', '[5456, 682, 2*w^2 - 2*w - 12]', '[5456, 682, -4*w^2 + 8*w + 10]', '[5456, 682, -4*w^3 + 16*w - 2]', '[5456, 682, 2*w^2 - 2*w + 6]', '[5471, 5471, -10*w^3 + 9*w^2 + 24*w - 4]', '[5471, 5471, -3*w^3 - w^2 + 17*w]', '[5479, 5479, 3*w^3 - 10*w^2 + 2*w + 15]', '[5479, 5479, -2*w^3 + 3*w^2 - 3*w - 7]', '[5489, 5489, -7*w^3 + 7*w^2 + 22*w - 7]', '[5489, 5489, -4*w^3 + 4*w^2 + 2*w - 7]', '[5489, 5489, 6*w^3 - 4*w^2 - 17*w + 8]', '[5489, 5489, -3*w^3 + 5*w^2 + w - 11]', '[5489, 5489, w^3 - 2*w^2 - 2*w + 11]', '[5489, 5489, 10*w^3 - 10*w^2 - 26*w + 13]', '[5489, 5489, -13*w^3 + 17*w^2 + 28*w - 17]', '[5489, 5489, -w^3 - 6*w^2 + 6*w + 11]', '[5521, 5521, -8*w^3 + 5*w^2 + 17*w + 3]', '[5521, 5521, -3*w^3 + 5*w^2 + w - 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10]', '[5641, 5641, w^3 + 7*w^2 - 10*w - 15]', '[5641, 5641, w^3 - 9*w^2 + 6*w + 9]', '[5669, 5669, -5*w^3 + w^2 + 11*w + 9]', '[5669, 5669, 8*w^3 - 12*w^2 - 15*w + 6]', '[5689, 5689, 6*w^3 - 9*w^2 - 16*w + 5]', '[5689, 5689, -2*w^3 - w^2 + 9*w + 13]', '[5689, 5689, 5*w^3 - 11*w^2 - 9*w + 7]', '[5689, 5689, -6*w^3 + w^2 + 16*w]', '[5699, 5699, 7*w^3 - 5*w^2 - 24*w + 5]', '[5699, 5699, -10*w^3 + 12*w^2 + 21*w - 11]', '[5699, 5699, -6*w^3 + 3*w^2 + 22*w + 1]', '[5699, 5699, -w^3 - w^2 + 12*w + 3]', '[5699, 5699, 5*w^3 - 2*w^2 - 8*w - 6]', '[5699, 5699, -w^3 + w^2 + 4*w - 10]', '[5699, 5699, 8*w^3 - 7*w^2 - 25*w + 4]', '[5699, 5699, 10*w^3 - 13*w^2 - 22*w + 8]', '[5701, 5701, -8*w^3 + 4*w^2 + 21*w - 2]', '[5701, 5701, 4*w^3 - 5*w^2 - 10*w - 6]', '[5711, 5711, -8*w^3 + 9*w^2 + 14*w - 8]', '[5711, 5711, -9*w^3 + 8*w^2 + 20*w - 6]', '[5725, 1145, 5*w^3 - w^2 - 17*w + 1]', '[5725, 1145, -2*w^3 + 6*w^2 - 3*w - 10]', '[5731, 5731, -2*w^3 + 4*w^2 + 9*w - 14]', '[5731, 5731, -2*w^3 - 2*w^2 + 4*w + 11]', '[5731, 5731, 7*w^3 - 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10]', '[5921, 5921, -5*w^3 + 11*w^2 + 4*w - 15]', '[5929, 77, -7*w^3 + 3*w^2 + 24*w - 2]', '[5929, 77, 6*w^3 - 11*w^2 - 14*w + 9]', '[5929, 77, -w^3 + 6*w^2 + 4*w - 13]', '[5929, 77, 8*w^3 - 9*w^2 - 19*w]', '[5929, 847, -7*w^3 + 4*w^2 + 18*w - 5]', '[5929, 847, 3*w^3 - 6*w^2 - w + 14]', '[5929, 847, 6*w^3 - 9*w^2 - 8*w + 13]', '[5929, 847, -5*w^3 + 2*w^2 + 15*w - 7]', '[5939, 5939, -2*w^3 - 6*w^2 + 10*w + 9]', '[5939, 5939, 4*w^3 + 2*w^2 - 11*w - 13]', '[5939, 5939, -5*w^3 + 13*w^2 + 4*w - 16]', '[5939, 5939, -3*w^3 - 5*w^2 + 12*w + 10]', '[5951, 5951, -6*w^3 + 8*w^2 + 19*w - 9]', '[5951, 5951, -3*w^3 + 5*w^2 + 13*w - 6]', '[5951, 5951, 8*w^3 - 16*w^2 - 15*w + 21]', '[5951, 5951, -w^3 - 7*w^2 + 3*w + 10]', '[5981, 5981, -6*w^3 + 4*w^2 + 19*w - 8]', '[5981, 5981, 9*w^3 - 10*w^2 - 24*w + 4]', '[5981, 5981, 7*w^3 - 7*w^2 - 10*w + 4]', '[5981, 5981, -11*w^3 + 11*w^2 + 26*w - 8]', '[6011, 6011, -5*w^3 + 7*w^2 + 17*w - 7]', '[6011, 6011, 11*w^3 - 13*w^2 - 24*w + 10]', '[6029, 6029, 8*w^3 - 9*w^2 - 14*w + 2]', '[6029, 6029, -w^3 - 7*w^2 + 9*w + 9]', '[6061, 6061, -8*w^3 + 7*w^2 + 17*w - 3]', '[6061, 6061, 8*w^3 - 9*w^2 - 15*w + 6]', '[6061, 6061, -4*w^3 + 9*w^2 - 10]', '[6061, 6061, 7*w^3 - 2*w^2 - 22*w - 2]', '[6064, 758, -6*w^3 + 20*w + 4]', '[6064, 758, 4*w^3 - 10*w^2 + 12]', '[6079, 6079, -4*w^3 + 19*w + 1]', '[6079, 6079, -10*w^3 + 10*w^2 + 23*w - 6]', '[6091, 6091, 6*w^3 - 7*w^2 - 20*w + 4]', '[6091, 6091, -5*w^3 + 2*w^2 + 20*w]', '[6091, 6091, -3*w^3 + 4*w^2 + 14*w - 8]', '[6091, 6091, -10*w^3 + 11*w^2 + 22*w - 9]', '[6101, 6101, 4*w^3 - 4*w^2 - 9*w + 12]', '[6101, 6101, 3*w^3 - 3*w^2 - 5*w + 11]', '[6109, 6109, -2*w^3 + 9*w^2 - 5*w - 14]', '[6109, 6109, -4*w^3 - 3*w^2 + 17*w + 5]', '[6109, 6109, 8*w^3 - 8*w^2 - 21*w - 2]', '[6109, 6109, -5*w^3 + 7*w^2 + 6*w - 13]', '[6109, 6109, 11*w^3 - 11*w^2 - 26*w + 6]', '[6109, 6109, 3*w^3 + 3*w^2 - 16*w - 2]', '[6109, 6109, 7*w^3 - 7*w^2 - 10*w + 2]', '[6109, 6109, 7*w^3 - 12*w^2 - 14*w + 9]', '[6119, 6119, -w^3 + 3*w + 10]', '[6119, 6119, -8*w^3 + 8*w^2 + 15*w - 7]', '[6121, 6121, -9*w^3 + 11*w^2 + 17*w - 10]', '[6121, 6121, 8*w^3 - 6*w^2 - 17*w + 3]', '[6131, 6131, 9*w^3 - 11*w^2 - 21*w + 5]', '[6131, 6131, 4*w^3 - 9*w^2 - 10*w + 5]', '[6151, 6151, -9*w^3 + 13*w^2 + 18*w - 8]', '[6151, 6151, -5*w^3 + w^2 + 10*w + 8]', '[6161, 6161, -w^3 - 7*w^2 + 10*w + 10]', '[6161, 6161, -8*w^3 + 9*w^2 + 13*w - 1]', '[6161, 6161, 5*w^3 - w^2 - 21*w - 4]', '[6161, 6161, -3*w^3 + 10*w^2 + 2*w - 12]', '[6211, 6211, 3*w^3 - w^2 - 15*w + 1]', '[6211, 6211, -2*w^3 + 9*w^2 + 2*w - 13]', '[6211, 6211, -4*w^3 + 5*w^2 + 3*w - 10]', '[6211, 6211, -8*w^3 + 7*w^2 + 21*w - 11]', '[6221, 6221, -5*w^3 + w^2 + 21*w + 2]', '[6221, 6221, -10*w^3 + 11*w^2 + 22*w - 8]', '[6224, 778, -10*w^3 + 12*w^2 + 20*w - 6]', '[6224, 778, 2*w^3 + 6*w^2 - 12*w - 14]', '[6229, 6229, -3*w^3 + 10*w^2 + 4*w - 14]', '[6229, 6229, 3*w^2 - w - 15]', '[6229, 6229, -w^3 + 8*w^2 - w - 13]', '[6229, 6229, 3*w^3 - 10*w^2 - 3*w + 12]', '[6241, 79, 8*w^3 - 8*w^2 - 16*w + 3]', '[6241, 79, -8*w^3 + 8*w^2 + 16*w - 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17]', '[9629, 9629, w^3 + 3*w^2 - 5*w - 17]', '[9629, 9629, 8*w^3 - 12*w^2 - 21*w + 9]', '[9631, 9631, 9*w^3 - 7*w^2 - 19*w + 4]', '[9631, 9631, -10*w^3 + 12*w^2 + 19*w - 11]', '[9641, 9641, -7*w^3 + 9*w^2 + 22*w - 10]', '[9641, 9641, 3*w^3 + 7*w^2 - 11*w - 18]', '[9641, 9641, 6*w^3 - 5*w^2 - 7*w - 5]', '[9641, 9641, -8*w^3 + 8*w^2 + 25*w + 7]', '[9649, 9649, -9*w^3 + 10*w^2 + 17*w - 7]', '[9649, 9649, 4*w^3 - 3*w^2 - 10*w - 10]', '[9671, 9671, -5*w^3 + 14*w^2 + 3*w - 18]', '[9671, 9671, 9*w^3 - 6*w^2 - 28*w + 6]', '[9671, 9671, -2*w^3 + 4*w^2 + 10*w - 17]', '[9671, 9671, -5*w^3 + 2*w^2 + 21*w + 3]', '[9671, 9671, 2*w^3 - 5*w^2 - 6*w + 19]', '[9671, 9671, -3*w^3 - 3*w^2 + 17*w + 15]', '[9671, 9671, -8*w^3 + 10*w^2 + 19*w - 2]', '[9671, 9671, 11*w^3 - 8*w^2 - 27*w - 2]', '[9689, 9689, 11*w^3 - 8*w^2 - 27*w + 1]', '[9689, 9689, w^3 + 5*w^2 - w - 13]', '[9691, 9691, 6*w^3 - 10*w^2 - 11*w + 22]', '[9691, 9691, -4*w^3 + 12*w^2 + 3*w - 15]', '[9691, 9691, -10*w^3 + 6*w^2 + 22*w - 3]', '[9691, 9691, 10*w^3 - 11*w^2 - 31*w + 18]', '[9701, 9701, 5*w^3 - 6*w^2 - 11*w - 7]', '[9701, 9701, -7*w^3 + 3*w^2 + 26*w + 2]', '[9701, 9701, -11*w^3 + 13*w^2 + 23*w - 11]', '[9701, 9701, -4*w^3 + 10*w^2 - w - 12]', '[9701, 9701, -7*w^3 + w^2 + 23*w + 3]', '[9701, 9701, -3*w^3 - 4*w^2 + 13*w + 2]', '[9701, 9701, 3*w^3 - 10*w^2 + w + 19]', '[9701, 9701, -11*w^3 + 13*w^2 + 23*w - 10]', '[9725, 1945, w^3 - 13]', '[9725, 1945, -7*w^3 + 3*w^2 + 26*w + 3]', '[9739, 9739, -3*w^3 + 3*w^2 + 5*w - 12]', '[9739, 9739, 9*w^3 - 10*w^2 - 17*w + 5]', '[9739, 9739, 3*w^3 + 6*w^2 - 15*w - 13]', '[9739, 9739, 5*w^3 - 5*w^2 - 19*w + 8]', '[9781, 9781, 5*w^3 - 12*w^2 - w + 14]', '[9781, 9781, -7*w^3 + 23*w + 5]', '[9791, 9791, -6*w^3 + 3*w^2 + 23*w - 1]', '[9791, 9791, -11*w^3 + 12*w^2 + 24*w - 10]', '[9801, 33, 9*w^3 - 9*w^2 - 18*w + 3]', '[9801, 33, 9*w^3 - 9*w^2 - 18*w + 6]', '[9801, 363, -6*w^3 + 6*w^2 + 21*w - 3]', '[9801, 363, -3*w^3 + 3*w^2 + 15*w - 6]', '[9811, 9811, -8*w^3 + 6*w^2 + 21*w - 10]', '[9811, 9811, 11*w^3 - 12*w^2 - 26*w + 2]', '[9811, 9811, 5*w^3 - 7*w^2 - 5*w + 13]', '[9811, 9811, -6*w^3 + 23*w + 2]', '[9829, 9829, 8*w^3 - 8*w^2 - 12*w + 5]', '[9829, 9829, -12*w^3 + 12*w^2 + 28*w - 9]', '[9839, 9839, 4*w^3 - w^2 - 7*w - 10]', '[9839, 9839, 4*w^2 + 3*w - 12]', '[9871, 9871, -9*w^3 + 13*w^2 + 20*w - 9]', '[9871, 9871, 8*w^3 - 10*w^2 - 18*w - 1]', '[9889, 9889, 2*w^3 - 2*w^2 - 13*w + 4]', '[9889, 9889, 7*w^3 - 9*w^2 - 18*w + 1]', '[9889, 9889, w^3 + w^2 + 2*w - 11]', '[9889, 9889, -7*w^3 + 7*w^2 + 23*w - 5]', '[9899, 9899, 3*w^3 + w^2 - 18*w - 12]', '[9899, 9899, 11*w^3 - 10*w^2 - 31*w + 12]', '[9899, 9899, -4*w^3 + 7*w^2 + 14*w - 19]', '[9899, 9899, 2*w^3 - 7*w^2 + 5*w + 11]', '[9899, 9899, -w^3 - 4*w^2 + 11*w + 15]', '[9899, 9899, -7*w^3 + 10*w^2 + 17*w - 4]', '[9899, 9899, -6*w^3 + w^2 + 21*w]', '[9899, 9899, 5*w^3 - w^2 - 22*w + 8]', '[9901, 9901, w^3 + 8*w^2 - 10*w - 18]', '[9901, 9901, w^3 - 2*w^2 - 11*w + 4]', '[9904, 1238, -2*w^3 + 10*w^2 - 2*w - 12]', '[9904, 1238, 8*w^2 - 6*w - 14]', '[9929, 9929, -8*w^3 + 10*w^2 + 20*w - 3]', '[9929, 9929, -9*w^3 + 7*w^2 + 27*w - 9]', '[9931, 9931, 3*w^3 - w^2 - 16*w + 2]', '[9931, 9931, -2*w^3 + 10*w^2 + 2*w - 15]', '[9931, 9931, w^3 + 4*w^2 + 2*w - 10]', '[9931, 9931, 10*w^3 - 15*w^2 - 24*w + 14]', '[9949, 9949, -7*w^3 + 2*w^2 + 24*w]', '[9949, 9949, 10*w^3 - 12*w^2 - 23*w + 4]', '[10000, 10, 10]'], 'label': '4.4.725.1', 'narrow_class_no': 1, 'primes': ['[11, 11, -w^3 + 2*w^2 + w - 3]', '[11, 11, w^3 - 3*w]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w + 2]', '[19, 19, 2*w^3 - 3*w^2 - 4*w + 2]', '[25, 5, 2*w^3 - 2*w^2 - 4*w + 1]', '[29, 29, w^3 - w^2 - 4*w + 1]', '[31, 31, w^3 - 4*w + 1]', '[31, 31, -w^2 + 2*w + 3]', '[41, 41, 2*w^2 - w - 3]', '[41, 41, -w^3 + 3*w^2 + w - 4]', '[49, 7, 2*w^3 - 3*w^2 - 5*w + 2]', '[49, 7, w^2 + w - 3]', '[61, 61, 2*w^3 - 3*w^2 - 4*w]', '[61, 61, -3*w^3 + 4*w^2 + 7*w - 3]', '[79, 79, 2*w^3 - 4*w^2 - 3*w + 2]', '[79, 79, w^3 + w^2 - 3*w - 5]', '[81, 3, -3]', '[89, 89, -3*w^3 + 4*w^2 + 5*w - 3]', '[89, 89, 3*w^3 - 2*w^2 - 7*w]', '[101, 101, -3*w^3 + 5*w^2 + 7*w - 5]', '[101, 101, -2*w^2 - w + 4]', '[109, 109, 3*w^3 - 5*w^2 - 5*w + 3]', '[109, 109, -2*w^3 + 7*w + 1]', '[109, 109, 4*w^3 - 5*w^2 - 9*w + 3]', '[109, 109, -2*w^3 + 5*w + 4]', '[121, 11, 3*w^3 - 3*w^2 - 6*w + 1]', '[131, 131, -3*w^3 + 2*w^2 + 8*w - 2]', '[131, 131, w^3 + w^2 - 5*w]', '[139, 139, -w^3 + 2*w^2 + 2*w - 6]', '[139, 139, 2*w^3 - 5*w^2 - 2*w + 6]', '[139, 139, 3*w^3 - 5*w^2 - 6*w + 4]', '[139, 139, -2*w^3 + 2*w^2 + 7*w - 2]', '[149, 149, -3*w^3 + 4*w^2 + 7*w - 2]', '[149, 149, w^3 - w^2 - 3*w - 3]', '[149, 149, 3*w^3 - 2*w^2 - 9*w + 2]', '[149, 149, w - 4]', '[169, 13, -4*w^3 + 5*w^2 + 8*w - 4]', '[169, 13, 3*w^3 - 2*w^2 - 6*w]', '[179, 179, -4*w^3 + 3*w^2 + 10*w - 3]', '[179, 179, -4*w^3 + 4*w^2 + 9*w - 3]', '[179, 179, -2*w^3 + w^2 + 8*w - 1]', '[179, 179, 4*w^3 - 3*w^2 - 8*w - 2]', '[191, 191, -w^3 + 4*w^2 - 6]', '[191, 191, -4*w^3 + 4*w^2 + 9*w - 2]', '[211, 211, 2*w^3 - w^2 - 8*w]', '[211, 211, -w^3 + 4*w^2 + w - 5]', '[229, 229, w^3 - 3*w^2 + w + 5]', '[229, 229, 2*w^3 - 7*w]', '[251, 251, 3*w^3 - 4*w^2 - 7*w + 1]', '[251, 251, w^3 - w - 4]', '[269, 269, 3*w^3 - 6*w^2 - 3*w + 7]', '[269, 269, 3*w^3 - 9*w - 2]', '[271, 271, -3*w^3 + w^2 + 10*w]', '[271, 271, 4*w^3 - 5*w^2 - 9*w + 2]', '[281, 281, -3*w^3 + w^2 + 11*w - 1]', '[281, 281, -2*w^2 + 5*w + 4]', '[281, 281, -3*w^3 + 3*w^2 + 10*w - 1]', '[281, 281, 3*w^3 - 4*w^2 - 7*w - 1]', '[311, 311, -w^3 + 7*w + 2]', '[311, 311, 3*w^2 - 7]', '[331, 331, w^3 + 2*w^2 - 3*w - 7]', '[331, 331, w^3 - w^2 - w + 5]', '[359, 359, -4*w^3 + 5*w^2 + 6*w - 4]', '[359, 359, -5*w^3 + 4*w^2 + 12*w - 2]', '[361, 19, -4*w^3 + 4*w^2 + 8*w - 3]', '[379, 379, -3*w^3 + 10*w + 2]', '[379, 379, 2*w^3 - 5*w^2 + 6]', '[389, 389, -5*w^3 + 6*w^2 + 10*w - 3]', '[389, 389, w^3 + 3*w^2 - 6*w - 7]', '[409, 409, -4*w^3 + 4*w^2 + 7*w]', '[409, 409, -4*w^2 + 4*w + 5]', '[421, 421, -2*w^3 + 2*w^2 + 8*w - 3]', '[421, 421, w^3 + 3*w^2 - 6*w - 6]', '[431, 431, 4*w^3 - 6*w^2 - 10*w + 5]', '[431, 431, 3*w^3 - 5*w^2 - 6*w + 2]', '[431, 431, -4*w^3 + 3*w^2 + 8*w - 2]', '[431, 431, -5*w^3 + 6*w^2 + 10*w - 6]', '[449, 449, 4*w^3 - 5*w^2 - 6*w + 2]', '[449, 449, -w^3 + 2*w^2 + w - 7]', '[461, 461, 5*w^3 - 4*w^2 - 12*w + 1]', '[461, 461, w^3 + 2*w^2 - 2*w - 6]', '[479, 479, w^3 + 3*w^2 - 5*w - 7]', '[479, 479, 2*w^3 - 6*w^2 - w + 6]', '[491, 491, 3*w^2 - 5*w - 6]', '[491, 491, -2*w^3 - w^2 + 9*w + 1]', '[499, 499, 4*w^3 - 3*w^2 - 12*w + 4]', '[499, 499, 4*w^3 - 5*w^2 - 10*w + 2]', '[499, 499, -5*w^3 + 5*w^2 + 11*w - 4]', '[499, 499, -4*w^3 + 4*w^2 + 7*w - 3]', '[509, 509, -5*w^3 + 6*w^2 + 10*w - 4]', '[509, 509, -4*w^2 + 3*w + 8]', '[509, 509, -3*w^3 + w^2 + 10*w - 1]', '[509, 509, 5*w^3 - 6*w^2 - 12*w + 3]', '[521, 521, -5*w^3 + 6*w^2 + 10*w - 5]', '[521, 521, 2*w^3 - 6*w^2 - w + 7]', '[521, 521, w^3 - 5*w^2 + 9]', '[521, 521, w^3 + 3*w^2 - 5*w - 6]', '[529, 23, 3*w^3 - 5*w^2 - 6*w + 1]', '[529, 23, -2*w^3 - w^2 + 8*w + 1]', '[541, 541, 3*w^3 - 5*w^2 - 8*w + 3]', '[541, 541, -w^3 + 3*w^2 + 4*w - 7]', '[569, 569, -w^3 + 7*w - 1]', '[569, 569, -3*w^3 + 2*w^2 + 11*w]', '[571, 571, w^3 - 4*w - 6]', '[571, 571, 4*w^3 - 5*w^2 - 11*w + 2]', '[571, 571, -5*w^3 + 5*w^2 + 11*w - 3]', '[571, 571, -2*w^3 + 6*w^2 + 2*w - 9]', '[599, 599, 3*w^3 - 6*w^2 - 6*w + 4]', '[599, 599, 3*w^2 - 8]', '[601, 601, -4*w^3 + 2*w^2 + 12*w - 1]', '[601, 601, -5*w^3 + 7*w^2 + 11*w - 5]', '[619, 619, -w^3 + 5*w^2 - w - 6]', '[619, 619, 4*w^2 - 3*w - 7]', '[631, 631, 2*w^3 - 3*w^2 - 5*w - 3]', '[631, 631, 5*w^3 - 3*w^2 - 13*w + 2]', '[631, 631, 2*w^3 + w^2 - 11*w - 2]', '[631, 631, 6*w^3 - 6*w^2 - 14*w + 3]', '[641, 641, 2*w^2 - w - 9]', '[641, 641, -w^3 + 3*w^2 + 2*w - 10]', '[659, 659, -4*w^3 + w^2 + 14*w + 1]', '[659, 659, 5*w^3 - 6*w^2 - 11*w + 1]', '[709, 709, 6*w^3 - 7*w^2 - 14*w + 3]', '[709, 709, 6*w^3 - 8*w^2 - 15*w + 7]', '[709, 709, 2*w^3 - 5*w^2 - 5*w + 2]', '[709, 709, -4*w^3 + 3*w^2 + 11*w - 5]', '[739, 739, 5*w^3 - 7*w^2 - 7*w + 5]', '[739, 739, -w^3 - 3*w^2 + 6*w + 1]', '[751, 751, 5*w^3 - 3*w^2 - 11*w + 1]', '[751, 751, 5*w^3 - 6*w^2 - 13*w + 3]', '[769, 769, -w^2 + 2*w + 7]', '[769, 769, -4*w^3 + 6*w^2 + 11*w - 4]', '[809, 809, -5*w^3 + 4*w^2 + 13*w - 5]', '[809, 809, 2*w^3 + w^2 - 8*w]', '[811, 811, -w^3 - 4*w^2 + 7*w + 6]', '[811, 811, 3*w^3 - 5*w^2 - 7*w]', '[811, 811, -2*w^3 - w^2 + 9*w]', '[811, 811, -5*w^3 + 5*w^2 + 9*w - 5]', '[821, 821, -w^3 + 3*w^2 + 4*w - 8]', '[821, 821, -3*w^3 + 7*w + 6]', '[821, 821, -3*w^3 + w^2 + 6*w + 5]', '[821, 821, 5*w^3 - 8*w^2 - 9*w + 5]', '[829, 829, -w^3 + w^2 + w - 6]', '[829, 829, 5*w^3 - 6*w^2 - 9*w + 3]', '[839, 839, -4*w^3 + 2*w^2 + 14*w - 3]', '[839, 839, 5*w^3 - 7*w^2 - 7*w + 4]', '[841, 29, -w^2 + 6*w + 1]', '[859, 859, -4*w^3 + 2*w^2 + 13*w - 2]', '[859, 859, 5*w^3 - 6*w^2 - 12*w + 2]', '[881, 881, -2*w^3 + 4*w^2 + w - 9]', '[881, 881, -6*w^3 + 9*w^2 + 12*w - 7]', '[911, 911, 5*w^3 - 6*w^2 - 11*w]', '[911, 911, -w^3 + 4*w^2 + 4*w - 8]', '[929, 929, 5*w^3 - 8*w^2 - 11*w + 7]', '[929, 929, -4*w^3 + 13*w + 3]', '[929, 929, 3*w^3 - 7*w^2 - w + 8]', '[929, 929, -6*w^3 + 5*w^2 + 16*w - 5]', '[941, 941, -4*w^3 + w^2 + 11*w]', '[941, 941, -2*w^3 - w^2 + 10*w - 1]', '[941, 941, -5*w^3 + 5*w^2 + 9*w]', '[941, 941, -5*w^2 + 5*w + 6]', '[961, 31, -5*w^3 + 5*w^2 + 10*w - 3]', '[971, 971, -2*w^3 - 3*w^2 + 8*w + 7]', '[971, 971, 3*w^3 - 8*w^2 - 2*w + 9]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, -3, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 725, 'disc_rad': 145, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[4, 1]]], [5, [0]], [7, [[2, 2]]], [11, [[2, 1], [1, 2]]], [13, [[2, 2]]], [17, [[4, 1]]], [19, [[2, 1], [1, 2]]], [23, [[2, 2]]], [29, [0]], [31, [[2, 1], [1, 2]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 12.041594578792296, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.725.1', 'local_algs': ['5.4.2.1', '29.2.1.2', '29.2.0.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 29], 'rd': 5.18900992827, 'regulator': {'__RealLiteral__': 0, 'data': '0.825068847935', 'prec': 47}, 'res': {'gal': ['-1,11,-5,-36,17,26,-12,-2,1'], 'sib': ['1,-1,-5,-1,1', '-1,11,-5,-36,17,26,-12,-2,1']}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a^{2} - 2 a + 1 \\)', '\\( a \\)', '\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}