Hilbert modular form data - 4.4.4205.1-49.4-e

Formats: - HTML - YAML - JSON - 2024-05-22T16:25:06.041976

• 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': 6, 'disc': 4205, 'field_bad_primes': [5, 29], 'field_label': '4.4.4205.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.4205.1-49.4-e', 'label_nsuffix': 4, 'label_suffix': 'e', 'level_bad_primes': [7], 'level_ideal': '[49,49,2*w^3 - 3*w^2 - 7*w]', 'level_label': '49.4', 'level_norm': 49, 'parallel_weight': 2, 'short_label': '49.4-e', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[7,7,-w^3 + 2*w^2 + 3*w - 3]', 1]], 'hecke_eigenvalues': ['-1/40*e^4 + 9/20*e^2 + 6/5', 0, 'e', '1/20*e^4 - 7/5*e^2 + 33/5', '1/40*e^5 - 7/10*e^3 + 33/10*e', '1/40*e^4 - 19/20*e^2 + 24/5', '-1/20*e^4 + 9/10*e^2 + 2/5', '-1/10*e^5 + 33/10*e^3 - 106/5*e', '-1/16*e^5 + 17/8*e^3 - 15*e', '13/80*e^5 - 207/40*e^3 + 327/10*e', '1/10*e^5 - 71/20*e^3 + 277/10*e', '1/80*e^5 - 9/40*e^3 + 2/5*e', '-1/20*e^4 + 9/10*e^2 + 12/5', '1/20*e^5 - 7/5*e^3 + 23/5*e', '-1/40*e^5 + 7/10*e^3 - 53/10*e', '-3/20*e^4 + 47/10*e^2 - 84/5', '1/8*e^5 - 17/4*e^3 + 33*e', '1/20*e^4 - 9/10*e^2 + 8/5', '-3/20*e^5 + 26/5*e^3 - 179/5*e', '-3/20*e^5 + 26/5*e^3 - 194/5*e', '3/20*e^5 - 47/10*e^3 + 134/5*e', '-7/80*e^5 + 123/40*e^3 - 119/5*e', '-1/8*e^4 + 13/4*e^2 - 6', '1/8*e^4 - 13/4*e^2 + 16', '-1/4*e^3 + 7/2*e', '-19/80*e^5 + 311/40*e^3 - 248/5*e', '1/16*e^5 - 17/8*e^3 + 16*e', '1/20*e^4 - 9/10*e^2 + 48/5', '-e^2 + 8', '1/5*e^5 - 71/10*e^3 + 262/5*e', '-e^2 + 22', '-1/40*e^4 + 9/20*e^2 + 26/5', '3/10*e^5 - 203/20*e^3 + 671/10*e', '17/80*e^5 - 273/40*e^3 + 199/5*e', '-1/4*e^4 + 7*e^2 - 23', '-1/10*e^4 + 14/5*e^2 - 66/5', '-1/4*e^5 + 8*e^3 - 48*e', '9/40*e^4 - 101/20*e^2 + 56/5', '-17/80*e^5 + 283/40*e^3 - 503/10*e', '7/80*e^5 - 113/40*e^3 + 153/10*e', '-3/10*e^5 + 47/5*e^3 - 283/5*e', '3/20*e^4 - 37/10*e^2 + 104/5', '1/5*e^5 - 71/10*e^3 + 252/5*e', '-1/10*e^4 + 14/5*e^2 - 6/5', '-17/80*e^5 + 303/40*e^3 - 583/10*e', '-1/5*e^4 + 23/5*e^2 - 12/5', '1/10*e^4 - 14/5*e^2 + 66/5', '-1/10*e^4 + 19/5*e^2 - 36/5', '9/40*e^5 - 141/20*e^3 + 216/5*e', '1/20*e^4 - 19/10*e^2 + 38/5', '-1/2*e^2 - 7', '-9/40*e^4 + 121/20*e^2 - 106/5', '-1/40*e^4 + 9/20*e^2 - 64/5', '-1/4*e^4 + 7*e^2 - 27', '29/80*e^5 - 491/40*e^3 + 891/10*e', '1/10*e^4 - 4/5*e^2 - 94/5', '3/20*e^4 - 26/5*e^2 + 79/5', '-1/10*e^4 + 13/10*e^2 + 39/5', '5/16*e^5 - 85/8*e^3 + 74*e', '-7/40*e^5 + 59/10*e^3 - 431/10*e', '7/40*e^5 - 113/20*e^3 + 148/5*e', '3/40*e^5 - 47/20*e^3 + 97/5*e', '19/80*e^5 - 311/40*e^3 + 258/5*e', '-1/2*e^2 + 3', '1/10*e^4 - 4/5*e^2 - 94/5', '1/4*e^4 - 15/2*e^2 + 14', '-23/80*e^5 + 397/40*e^3 - 717/10*e', '1/10*e^4 - 4/5*e^2 - 64/5', '23/80*e^5 - 397/40*e^3 + 737/10*e', '3/10*e^4 - 47/5*e^2 + 158/5', '-1/10*e^4 + 13/10*e^2 + 9/5', '7/80*e^5 - 123/40*e^3 + 124/5*e', '-e^3 + 21*e', '-1/4*e^5 + 9*e^3 - 71*e', '-3/8*e^5 + 13*e^3 - 183/2*e', '-3/40*e^5 + 31/10*e^3 - 329/10*e', '1/5*e^5 - 38/5*e^3 + 307/5*e', '-7/20*e^4 + 83/10*e^2 - 76/5', '-11/40*e^5 + 179/20*e^3 - 259/5*e', '-1/10*e^4 + 9/5*e^2 - 106/5', '1/16*e^5 - 23/8*e^3 + 51/2*e', '-3/80*e^5 + 17/40*e^3 + 83/10*e', '1/20*e^4 + 11/10*e^2 - 162/5', '1/20*e^4 + 11/10*e^2 - 92/5', '1/4*e^4 - 15/2*e^2 + 42', '1/10*e^4 - 4/5*e^2 - 164/5', '13/40*e^5 - 227/20*e^3 + 407/5*e', '7/20*e^4 - 83/10*e^2 + 186/5', '3/10*e^4 - 42/5*e^2 + 108/5', '-3/8*e^5 + 47/4*e^3 - 67*e', '-11/40*e^4 + 119/20*e^2 - 64/5', '9/40*e^5 - 39/5*e^3 + 617/10*e', '1/4*e^4 - 7*e^2 + 11', '13/40*e^4 - 137/20*e^2 + 32/5', '5/2*e^2 - 23', '-3/80*e^5 + 67/40*e^3 - 56/5*e', '5/2*e^2 - 37', '5/2*e^2 - 23', '-1/5*e^4 + 28/5*e^2 - 32/5', '-3/20*e^4 + 57/10*e^2 - 94/5', '-13/80*e^5 + 227/40*e^3 - 447/10*e', '-3/20*e^5 + 21/5*e^3 - 89/5*e', '3/8*e^5 - 49/4*e^3 + 76*e', '3/80*e^5 - 37/40*e^3 + 37/10*e', '-11/80*e^5 + 229/40*e^3 - 509/10*e', '1/4*e^4 - 9/2*e^2 + 4', '-2/5*e^4 + 41/5*e^2 - 14/5', '-11/40*e^5 + 179/20*e^3 - 259/5*e', '-13/40*e^5 + 247/20*e^3 - 512/5*e', '1/20*e^4 + 1/10*e^2 - 62/5', '-3/10*e^4 + 32/5*e^2 + 22/5', '3/40*e^4 - 47/20*e^2 - 138/5', '-1/10*e^4 + 43/10*e^2 - 131/5', '-9/80*e^5 + 161/40*e^3 - 128/5*e', '3/20*e^5 - 119/20*e^3 + 493/10*e', '2*e', '3/10*e^5 - 99/10*e^3 + 338/5*e', '7/20*e^4 - 103/10*e^2 + 226/5', '1/20*e^4 - 39/10*e^2 + 108/5', '1/10*e^4 - 14/5*e^2 + 66/5', '1/20*e^4 - 29/10*e^2 - 12/5', '11/20*e^5 - 92/5*e^3 + 608/5*e', '2*e^2 - 40', '1/40*e^4 - 9/20*e^2 + 34/5', '11/80*e^5 - 199/40*e^3 + 172/5*e', '-1/2*e^5 + 17*e^3 - 113*e', '1/10*e^4 - 9/5*e^2 + 156/5', '1/10*e^5 - 51/20*e^3 + 37/10*e', '-1/5*e^4 + 21/10*e^2 + 233/5', '3/4*e^3 - 41/2*e', '-1/40*e^4 + 49/20*e^2 - 194/5', '1/10*e^4 + 1/5*e^2 - 174/5', '1/5*e^5 - 61/10*e^3 + 137/5*e', '1/5*e^4 - 23/5*e^2 - 48/5', '-9/40*e^5 + 151/20*e^3 - 286/5*e', '-1/20*e^4 + 19/10*e^2 - 228/5', '1/5*e^4 - 23/5*e^2 - 118/5', '61/80*e^5 - 969/40*e^3 + 747/5*e', '1/10*e^4 - 13/10*e^2 + 91/5', '-3/40*e^5 + 21/10*e^3 - 69/10*e', '-3/10*e^4 + 49/10*e^2 + 167/5', '-29/80*e^5 + 451/40*e^3 - 671/10*e', '-13/40*e^5 + 58/5*e^3 - 869/10*e', '-27/80*e^5 + 463/40*e^3 - 419/5*e', '9/40*e^5 - 131/20*e^3 + 156/5*e', '-7/40*e^5 + 133/20*e^3 - 293/5*e', '-1/40*e^4 + 9/20*e^2 + 26/5', '1/2*e^4 - 25/2*e^2 + 29', '-3/8*e^5 + 51/4*e^3 - 90*e', '-1/10*e^4 + 9/5*e^2 - 156/5', '1/5*e^4 - 28/5*e^2 + 92/5', '3/10*e^4 - 27/5*e^2 - 102/5', '-17/80*e^5 + 243/40*e^3 - 283/10*e', '1/5*e^4 - 28/5*e^2 + 22/5', '-41/80*e^5 + 699/40*e^3 - 1259/10*e', '9/16*e^5 - 151/8*e^3 + 279/2*e', '1/10*e^4 - 33/10*e^2 - 69/5', '-19/40*e^4 + 191/20*e^2 + 14/5', '-39/80*e^5 + 611/40*e^3 - 428/5*e', '-9/40*e^4 + 61/20*e^2 + 54/5', '1/8*e^4 - 9/4*e^2 - 16', '-1/8*e^5 + 4*e^3 - 65/2*e', '-5/16*e^5 + 89/8*e^3 - 87*e', '-3/40*e^4 + 67/20*e^2 - 172/5', '33/80*e^5 - 537/40*e^3 + 381/5*e', '13/20*e^4 - 81/5*e^2 + 199/5'], 'hecke_polynomial': 'x^6 - 34*x^4 + 240*x^2 - 32', 'label': '4.4.4205.1-49.4-e'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 4205, 'ideals': ['[1, 1, 1]', '[5, 5, -w^3 + w^2 + 5*w]', '[7, 7, -w^3 + 2*w^2 + 3*w - 3]', '[7, 7, w^3 - 2*w^2 - 3*w]', '[13, 13, -w^2 + w + 3]', '[13, 13, -w^2 + w + 2]', '[16, 2, 2]', '[23, 23, -w^2 + 3*w + 1]', '[23, 23, -2*w^3 + 3*w^2 + 9*w - 2]', '[25, 5, w^3 - 2*w^2 - 4*w]', '[25, 5, w^3 - 2*w^2 - 2*w + 2]', '[35, 35, -w^3 + 3*w^2 + w - 3]', '[35, 35, 2*w^3 - 4*w^2 - 7*w + 4]', '[49, 7, w^3 - w^2 - 6*w - 1]', '[49, 7, -w^3 + w^2 + 6*w]', '[49, 49, -2*w^3 + 3*w^2 + 7*w - 1]', '[49, 49, -2*w^3 + 3*w^2 + 7*w]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 3]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 1]', '[65, 65, -w^3 + 2*w^2 + 2*w - 3]', '[65, 65, -2*w^3 + 3*w^2 + 8*w + 1]', '[67, 67, 2*w^3 - 4*w^2 - 7*w + 2]', '[67, 67, -2*w^3 + 4*w^2 + 6*w - 1]', '[80, 10, -2*w^3 + 2*w^2 + 10*w]', '[81, 3, -3]', '[83, 83, 2*w^3 - 3*w^2 - 6*w - 1]', '[83, 83, 3*w^3 - 4*w^2 - 12*w + 1]', '[91, 91, -w^3 + 2*w^2 + 2*w - 4]', '[91, 91, w^3 - 6*w - 2]', '[91, 91, w^2 - 4]', '[91, 91, 2*w^3 - 3*w^2 - 8*w - 2]', '[103, 103, 3*w^3 - 4*w^2 - 12*w - 1]', '[103, 103, 2*w^3 - 3*w^2 - 6*w + 1]', '[107, 107, w^3 - w^2 - 3*w - 3]', '[107, 107, 2*w^3 - 2*w^2 - 9*w]', '[109, 109, -3*w^3 + 5*w^2 + 10*w - 5]', '[109, 109, -2*w^3 + 3*w^2 + 9*w + 1]', '[109, 109, -2*w^3 + 2*w^2 + 7*w]', '[109, 109, w^2 - 3*w - 4]', '[112, 14, -2*w^3 + 4*w^2 + 6*w - 6]', '[112, 14, 2*w^3 - 4*w^2 - 6*w]', '[115, 115, w^3 - 3*w^2 - 3*w + 5]', '[115, 115, -2*w^2 + 3*w + 4]', '[121, 11, 3*w^3 - 4*w^2 - 12*w]', '[121, 11, 2*w^2 - 3*w - 6]', '[125, 5, w^3 - 5*w - 6]', '[125, 25, -w^3 + 3*w^2 + 2*w - 4]', '[139, 139, w^3 - 7*w - 1]', '[139, 139, -w^3 + 2*w^2 + 5*w - 4]', '[139, 139, 3*w^3 - 3*w^2 - 14*w - 2]', '[139, 139, -3*w^3 + 5*w^2 + 13*w - 2]', '[149, 149, -w^2 + 4*w + 1]', '[149, 149, -3*w^3 + 4*w^2 + 14*w - 1]', '[149, 149, 2*w^2 - 3*w - 5]', '[149, 149, -w^3 + 3*w^2 + 3*w - 4]', '[161, 161, 3*w^3 - 5*w^2 - 11*w + 1]', '[161, 161, 2*w^3 - 2*w^2 - 10*w + 1]', '[161, 161, 2*w - 3]', '[161, 161, -2*w^3 + 4*w^2 + 5*w - 4]', '[167, 167, -w^3 - w^2 + 7*w + 4]', '[167, 167, -4*w^3 + 6*w^2 + 15*w - 4]', '[169, 13, w^3 - w^2 - 6*w + 4]', '[169, 13, 2*w^3 - 4*w^2 - 7*w + 1]', '[169, 169, w^3 - 3*w^2 + 4]', '[169, 169, 3*w^3 - 5*w^2 - 12*w + 2]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, 2*w^3 - 2*w^2 - 11*w]', '[175, 35, -2*w^3 + 3*w^2 + 10*w - 1]', '[175, 35, -2*w^3 + 3*w^2 + 8*w - 5]', '[175, 35, -w^3 + 2*w^2 + 2*w + 3]', '[175, 35, w^3 - 8*w - 3]', '[179, 179, 2*w^3 - 2*w^2 - 9*w + 1]', '[179, 179, w^3 - w^2 - 3*w - 4]', '[179, 179, w^2 - 5]', '[179, 179, w^3 - 6*w - 1]', '[197, 197, w^3 + w^2 - 7*w - 6]', '[197, 197, 2*w^3 - 2*w^2 - 9*w + 2]', '[208, 26, -2*w^2 + 2*w + 6]', '[208, 26, -2*w^2 + 2*w + 4]', '[223, 223, -w^2 + 7]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 2*w^3 - 2*w^2 - 11*w - 2]', '[227, 227, w^3 - w^2 - 7*w - 1]', '[233, 233, w^3 - w^2 - 7*w]', '[233, 233, -2*w^3 + 2*w^2 + 11*w + 1]', '[245, 35, -2*w^2 + 2*w + 5]', '[245, 35, w^2 - 6]', '[245, 245, w + 4]', '[245, 245, -w^3 + w^2 + 5*w + 5]', '[256, 4, 4]', '[257, 257, -2*w^3 + 4*w^2 + 8*w - 1]', '[257, 257, 2*w^2 - 4*w - 7]', '[265, 265, w^3 + w^2 - 9*w - 8]', '[265, 265, -w^3 + 3*w^2 + w - 8]', '[277, 277, -4*w^3 + 6*w^2 + 15*w - 3]', '[277, 277, -3*w^3 + 5*w^2 + 9*w]', '[281, 281, -2*w^3 + 5*w^2 + 3*w - 5]', '[281, 281, -2*w^3 + 5*w^2 + 5*w - 7]', '[281, 281, 2*w^3 - 5*w^2 - 5*w + 4]', '[281, 281, -4*w^3 + 7*w^2 + 15*w - 4]', '[283, 283, 3*w^3 - 4*w^2 - 13*w - 3]', '[283, 283, -w^3 + 2*w^2 + w - 4]', '[299, 299, w^3 - 2*w^2 - 3*w + 6]', '[299, 299, -3*w^3 + 4*w^2 + 11*w - 1]', '[299, 299, -3*w^3 + 4*w^2 + 11*w + 2]', '[299, 299, -w^3 + 2*w^2 + 3*w + 3]', '[313, 313, -2*w^3 + 4*w^2 + 5*w - 5]', '[313, 313, 3*w^3 - 5*w^2 - 11*w]', '[325, 65, 4*w^3 - 6*w^2 - 15*w + 2]', '[325, 65, -w^2 - w + 4]', '[325, 65, 3*w^3 - 5*w^2 - 9*w + 1]', '[325, 65, 2*w^3 - w^2 - 11*w - 3]', '[335, 335, 3*w^3 - 7*w^2 - 7*w + 6]', '[335, 335, -4*w^3 + 8*w^2 + 13*w - 7]', '[343, 7, -4*w^3 + 6*w^2 + 17*w - 1]', '[343, 7, w^3 - 3*w^2 + w + 4]', '[343, 49, 5*w^3 - 8*w^2 - 20*w + 4]', '[343, 49, -2*w^3 + 5*w^2 + 2*w - 4]', '[343, 343, w^3 - 2*w^2 - 6*w + 4]', '[343, 343, -2*w^3 + w^2 + 12*w + 2]', '[347, 347, -w^3 + 2*w^2 + w - 5]', '[347, 347, 3*w^3 - 4*w^2 - 13*w - 4]', '[353, 353, 3*w^3 - 5*w^2 - 12*w + 1]', '[353, 353, -w^3 + 3*w^2 - 5]', '[361, 19, 3*w^3 - 3*w^2 - 13*w - 9]', '[361, 19, 2*w^3 - 2*w^2 - 7*w + 4]', '[368, 46, -2*w^2 + 6*w + 2]', '[368, 46, -4*w^3 + 6*w^2 + 18*w - 4]', '[371, 371, -3*w^3 + 4*w^2 + 9*w + 4]', '[371, 371, -w^3 + 3*w + 4]', '[371, 371, -3*w^3 + 2*w^2 + 15*w + 5]', '[371, 371, -5*w^3 + 6*w^2 + 21*w - 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w + 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w]', '[383, 383, 3*w^3 - 5*w^2 - 13*w + 1]', '[383, 383, 2*w^2 - 5*w - 6]', '[397, 397, 4*w^3 - 5*w^2 - 19*w - 1]', '[397, 397, 2*w^3 - 2*w^2 - 9*w - 7]', '[400, 10, 2*w^3 - 4*w^2 - 8*w]', '[400, 10, 2*w^3 - 4*w^2 - 4*w + 4]', '[405, 15, 3*w^3 - 3*w^2 - 15*w]', '[415, 415, -w^3 + 4*w^2 - 2*w - 6]', '[415, 415, -4*w^3 + 8*w^2 + 13*w - 12]', '[431, 431, 2*w^3 - 2*w^2 - 7*w - 5]', '[431, 431, 3*w^3 - 6*w^2 - 11*w + 3]', '[431, 431, 3*w^3 - 3*w^2 - 13*w]', '[431, 431, w^3 - 4*w^2 + w + 8]', '[455, 455, -3*w^3 + 5*w^2 + 8*w]', '[455, 455, w^3 - w^2 - 4*w - 6]', '[455, 455, w^3 - w^2 - 4*w + 4]', '[455, 455, 5*w^3 - 7*w^2 - 20*w + 2]', '[457, 457, 4*w^3 - 7*w^2 - 13*w]', '[457, 457, -3*w^2 + 4*w + 5]', '[463, 463, -3*w^3 + 5*w^2 + 11*w + 1]', '[463, 463, 2*w^3 - 4*w^2 - 5*w + 6]', '[469, 469, -w^3 + 4*w^2 - w + 1]', '[469, 469, 3*w^3 - 8*w^2 - 3*w]', '[469, 469, -5*w^3 + 8*w^2 + 22*w - 7]', '[469, 469, 3*w^3 - 4*w^2 - 15*w + 3]', '[487, 487, -w^3 + 4*w^2 - 7]', '[487, 487, -2*w^3 + 5*w^2 + 6*w - 5]', '[499, 499, -6*w^3 + 8*w^2 + 25*w - 1]', '[499, 499, -w^3 + 4*w^2 - 5]', '[499, 499, -2*w^3 + 5*w^2 + 6*w - 7]', '[499, 499, 3*w^3 - 5*w^2 - 7*w]', '[509, 509, -4*w^3 + 8*w^2 + 15*w - 8]', '[509, 509, 3*w^3 - 4*w^2 - 10*w - 2]', '[509, 509, -3*w^3 + 3*w^2 + 11*w + 6]', '[509, 509, 4*w^3 - 5*w^2 - 16*w]', '[515, 515, -2*w^3 + 6*w^2 + 3*w - 12]', '[515, 515, -3*w^3 + 6*w^2 + 8*w - 6]', '[521, 521, -4*w^3 + 5*w^2 + 15*w - 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9]', '[973, 973, -9*w^3 + 12*w^2 + 38*w - 2]', '[973, 973, 3*w^3 - 9*w^2 - 2*w + 6]', '[973, 973, 7*w^3 - 13*w^2 - 26*w + 14]', '[977, 977, -4*w^3 + 7*w^2 + 19*w - 6]', '[977, 977, -3*w^3 + 7*w^2 + 10*w - 6]', '[985, 985, 5*w^3 - 6*w^2 - 22*w - 7]', '[985, 985, -4*w^3 + 6*w^2 + 17*w - 9]', '[1021, 1021, 2*w^2 - 5*w - 8]', '[1021, 1021, -2*w^3 + 4*w^2 + 9*w - 8]', '[1021, 1021, w^3 + w^2 - 9*w - 1]', '[1021, 1021, 3*w^3 - 5*w^2 - 13*w - 1]', '[1040, 130, -2*w^3 + 4*w^2 + 4*w - 6]', '[1040, 130, -4*w^3 + 6*w^2 + 16*w + 2]', '[1043, 1043, -2*w^2 + w + 10]', '[1043, 1043, w^3 - w^2 - 2*w - 6]', '[1043, 1043, -4*w^2 + 8*w + 5]', '[1043, 1043, -2*w^3 + 5*w^2 + 3*w - 7]', '[1043, 1043, 4*w^3 - 8*w^2 - 16*w + 11]', '[1043, 1043, 4*w^3 - 7*w^2 - 15*w + 2]', '[1043, 1043, -w^3 - w^2 + 7*w + 1]', '[1043, 1043, 3*w^3 - 3*w^2 - 14*w + 2]', '[1049, 1049, 6*w^3 - 7*w^2 - 25*w - 8]', '[1049, 1049, w^3 - w^2 - 4*w - 7]', '[1049, 1049, -w^3 + w^2 + 4*w - 5]', '[1049, 1049, -4*w^3 + 5*w^2 + 13*w - 3]', '[1053, 39, 3*w^2 - 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9*w^2 - 13*w + 14]', '[1253, 1253, 2*w^3 - 6*w^2 - 4*w + 5]', '[1253, 1253, -5*w^3 + 7*w^2 + 19*w - 2]', '[1253, 1253, 2*w^3 - 6*w^2 - 4*w + 11]', '[1253, 1253, -8*w^3 + 12*w^2 + 31*w - 8]', '[1253, 1253, -4*w^3 + 6*w^2 + 13*w + 1]', '[1253, 1253, 2*w^3 - 7*w^2 - w + 5]', '[1277, 1277, -3*w^3 + 6*w^2 + 8*w - 8]', '[1277, 1277, -4*w^3 + 7*w^2 + 14*w]', '[1280, 20, -4*w^3 + 4*w^2 + 20*w]', '[1283, 1283, 3*w^3 - 5*w^2 - 13*w - 2]', '[1283, 1283, 2*w^2 - 5*w - 9]', '[1285, 1285, 3*w^3 - 7*w^2 - 9*w + 8]', '[1285, 1285, 7*w^3 - 9*w^2 - 29*w - 4]', '[1289, 1289, -3*w^3 + 2*w^2 + 15*w + 3]', '[1289, 1289, w^3 - 3*w - 6]', '[1289, 1289, 2*w^3 - w^2 - 11*w + 1]', '[1289, 1289, w^2 + w - 8]', '[1296, 6, -6]', '[1301, 1301, -w^3 + 5*w^2 - 2*w - 9]', '[1301, 1301, 4*w^3 - 5*w^2 - 15*w - 1]', '[1301, 1301, 4*w^3 - 5*w^2 - 15*w - 2]', '[1301, 1301, -3*w^3 + 7*w^2 + 10*w - 7]', '[1321, 1321, -3*w^3 + 5*w^2 + 7*w - 5]', '[1321, 1321, -6*w^3 + 8*w^2 + 25*w + 4]', '[1321, 1321, -2*w^3 + 4*w^2 + 4*w - 7]', '[1321, 1321, -4*w^3 + 6*w^2 + 16*w + 3]', '[1325, 265, -3*w^3 + 2*w^2 + 10*w + 6]', '[1325, 265, w^3 + 2*w^2 - 8*w - 4]', '[1325, 265, -w^3 - 2*w^2 + 2*w + 6]', '[1325, 265, 3*w^3 - 2*w^2 - 12*w]', '[1327, 1327, -2*w^3 + 4*w^2 + 2*w + 3]', '[1327, 1327, 3*w^3 - w^2 - 20*w - 10]', '[1328, 166, 4*w^3 - 6*w^2 - 12*w - 2]', '[1328, 166, 6*w^3 - 8*w^2 - 24*w + 2]', '[1339, 1339, 6*w^3 - 6*w^2 - 30*w - 7]', '[1339, 1339, 2*w^3 - 3*w^2 - 12*w]', '[1339, 1339, 3*w^3 - 2*w^2 - 18*w - 6]', '[1339, 1339, -6*w - 1]', '[1367, 1367, 3*w^3 - 4*w^2 - 12*w + 7]', '[1367, 1367, 2*w^3 - 3*w^2 - 6*w - 7]', '[1379, 1379, -2*w^3 + 10*w + 11]', '[1379, 1379, -9*w^3 + 14*w^2 + 34*w - 11]', '[1379, 1379, -w^3 - 3*w^2 + 11*w + 7]', '[1379, 1379, 3*w^3 - 8*w^2 - 7*w + 5]', '[1385, 1385, 3*w^3 - 8*w^2 - 4*w + 9]', '[1385, 1385, 7*w^3 - 13*w^2 - 24*w + 15]', '[1391, 1391, 2*w^2 - 7*w - 7]', '[1391, 1391, 3*w^3 - 5*w^2 - 14*w - 2]', '[1391, 1391, w^3 + w^2 - 10*w - 10]', '[1391, 1391, 5*w^3 - 7*w^2 - 23*w - 2]', '[1399, 1399, -3*w^3 + 2*w^2 + 18*w + 5]', '[1399, 1399, 4*w^3 - 4*w^2 - 21*w - 3]', '[1399, 1399, w^3 - w^2 - 9*w]', '[1399, 1399, -w^3 + 3*w^2 + 2*w - 11]', '[1405, 1405, 5*w^3 - 11*w^2 - 14*w + 15]', '[1405, 1405, 7*w^3 - 12*w^2 - 23*w + 3]', '[1405, 1405, 8*w^3 - 15*w^2 - 28*w + 15]', '[1405, 1405, 9*w^3 - 14*w^2 - 35*w + 5]', '[1415, 1415, 5*w^3 - 7*w^2 - 19*w + 1]', '[1415, 1415, 4*w^2 - 6*w - 13]', '[1417, 1417, 5*w^3 - 4*w^2 - 23*w - 6]', '[1417, 1417, 3*w^3 - w^2 - 14*w - 11]', '[1417, 1417, 3*w^3 - w^2 - 14*w - 5]', '[1417, 1417, 3*w^3 - 2*w^2 - 11*w - 7]', '[1417, 1417, -4*w^3 + 8*w^2 + 17*w - 10]', '[1417, 1417, -w^3 + 3*w^2 + 7*w - 5]', '[1417, 1417, -3*w^3 + 5*w^2 + 17*w + 2]', '[1417, 1417, -w^3 + 3*w^2 + 10*w + 2]', '[1427, 1427, -3*w^3 + 7*w^2 + 6*w - 8]', '[1427, 1427, -5*w^3 + 9*w^2 + 18*w - 4]', '[1456, 182, -2*w^3 + 4*w^2 + 4*w - 8]', '[1456, 182, 2*w^3 - 12*w - 4]', '[1456, 182, 2*w^2 - 8]', '[1456, 182, 4*w^3 - 6*w^2 - 16*w - 4]', '[1483, 1483, -2*w^3 + w^2 + 14*w + 5]', '[1483, 1483, 3*w^3 - 4*w^2 - 16*w - 1]', '[1495, 1495, 4*w^3 - 8*w^2 - 12*w + 1]', '[1495, 1495, -2*w^3 + 14*w + 3]', '[1495, 1495, -2*w^3 + 4*w^2 + 10*w - 7]', '[1495, 1495, 4*w^3 - 8*w^2 - 12*w + 11]', '[1499, 1499, 3*w^3 - 6*w^2 - 13*w + 9]', '[1499, 1499, 5*w^3 - 9*w^2 - 20*w + 5]', '[1499, 1499, 3*w^2 - 7*w - 9]', '[1499, 1499, 4*w^3 - 7*w^2 - 17*w + 2]', '[1541, 1541, 6*w^3 - 11*w^2 - 19*w + 10]', '[1541, 1541, -9*w^3 + 15*w^2 + 32*w - 14]', '[1541, 1541, 6*w^3 - 15*w^2 - 7*w + 7]', '[1541, 1541, -5*w^3 + 11*w^2 + 9*w - 6]', '[1543, 1543, -4*w^3 + 9*w^2 + 11*w - 8]', '[1543, 1543, -4*w^3 + 9*w^2 + 11*w - 9]', '[1553, 1553, -w^3 + 2*w^2 + 3*w - 8]', '[1553, 1553, w^3 - 2*w^2 - 3*w - 5]', '[1559, 1559, -4*w^3 + 7*w^2 + 15*w - 1]', '[1559, 1559, 3*w^2 - 6*w - 11]', '[1559, 1559, -2*w^3 + 5*w^2 + 3*w - 8]', '[1559, 1559, -3*w^3 + 6*w^2 + 12*w - 1]', '[1561, 1561, w^3 - 4*w^2 - 4*w + 9]', '[1561, 1561, 6*w^3 - 10*w^2 - 19*w - 1]', '[1561, 1561, -6*w^3 + 13*w^2 + 19*w - 20]', '[1561, 1561, -w^3 - 2*w^2 + 7*w + 3]', '[1565, 1565, 7*w^3 - 11*w^2 - 26*w + 5]', '[1565, 1565, -3*w^3 + 8*w^2 + 6*w - 11]', '[1567, 1567, -w^3 + 3*w^2 - w - 7]', '[1567, 1567, 4*w^3 - 6*w^2 - 17*w - 2]', '[1573, 143, 6*w^3 - 7*w^2 - 29*w - 4]', '[1573, 143, 3*w^3 - w^2 - 17*w - 16]', '[1573, 143, 3*w^3 - 3*w^2 - 17*w - 4]', '[1573, 143, 3*w^3 - 3*w^2 - 14*w - 10]', '[1589, 1589, w^3 - 4*w^2 + 3*w + 7]', '[1589, 1589, 2*w^3 - 5*w^2 + 5]', '[1589, 1589, -7*w^3 + 10*w^2 + 30*w - 1]', '[1589, 1589, -5*w^3 + 8*w^2 + 21*w - 2]', '[1619, 1619, -w^3 + 3*w^2 + 6*w - 6]', '[1619, 1619, -4*w^3 + 7*w^2 + 14*w + 1]', '[1619, 1619, -3*w^3 + w^2 + 18*w + 6]', '[1619, 1619, 3*w^3 - 6*w^2 - 8*w + 9]', '[1625, 65, -4*w^3 + 5*w^2 + 20*w - 1]', '[1625, 65, -w^3 + 10*w + 1]', '[1625, 325, w^2 - 2*w - 9]', '[1625, 325, w^3 - 2*w^2 - 4*w - 5]', '[1631, 1631, -6*w^3 + 10*w^2 + 24*w - 5]', '[1631, 1631, 3*w^3 - 7*w^2 - 3*w + 5]', '[1631, 1631, 8*w^3 - 12*w^2 - 33*w + 4]', '[1631, 1631, -2*w^3 + 6*w^2 - 7]', '[1637, 1637, w^2 - 3*w + 5]', '[1637, 1637, -2*w^3 + 3*w^2 + 9*w - 8]', '[1648, 206, 6*w^3 - 8*w^2 - 24*w - 2]', '[1648, 206, 4*w^3 - 6*w^2 - 12*w + 2]', '[1657, 1657, -2*w^3 + 6*w^2 + 5*w - 11]', '[1657, 1657, -w^3 + 5*w^2 - w - 6]', '[1669, 1669, 2*w^3 - 2*w^2 - 13*w + 1]', '[1669, 1669, 3*w^3 - 3*w^2 - 17*w]', '[1669, 1669, 5*w^3 - 6*w^2 - 20*w - 1]', '[1669, 1669, 4*w^3 - 5*w^2 - 14*w - 3]', '[1675, 335, w^3 - w^2 - 11*w + 3]', '[1675, 335, w^3 + w^2 - 5*w + 3]', '[1675, 335, w^3 - 4*w^2 + 6*w]', '[1675, 335, w^3 - 4*w^2 - 2]', '[1681, 41, w^3 - 10*w - 2]', '[1681, 41, 4*w^3 - 5*w^2 - 20*w]', '[1712, 214, 2*w^3 - 2*w^2 - 6*w - 6]', '[1712, 214, 4*w^3 - 4*w^2 - 18*w]', '[1715, 35, -5*w^3 + 8*w^2 + 16*w + 1]', '[1715, 35, 6*w^3 - 9*w^2 - 22*w + 5]', '[1715, 245, w^3 + 2*w^2 - 9*w - 4]', '[1715, 245, -w^3 + 4*w^2 + 3*w - 11]', '[1715, 1715, -w^3 - 2*w^2 + 11*w + 12]', '[1715, 1715, -3*w^3 + 6*w^2 + 13*w - 1]', '[1733, 1733, -2*w^3 + w^2 + 14*w + 4]', '[1733, 1733, 3*w^3 - 4*w^2 - 16*w]', '[1735, 1735, w^3 + 3*w^2 - 11*w - 13]', '[1735, 1735, 6*w^3 - 8*w^2 - 24*w + 1]', '[1744, 218, -6*w^3 + 10*w^2 + 20*w - 10]', '[1744, 218, -4*w^3 + 6*w^2 + 18*w + 2]', '[1744, 218, -4*w^3 + 4*w^2 + 14*w]', '[1744, 218, 2*w^2 - 6*w - 8]', '[1747, 1747, 4*w^3 - 3*w^2 - 22*w - 3]', '[1747, 1747, 5*w^3 - 6*w^2 - 23*w + 3]', '[1753, 1753, 3*w^3 - 3*w^2 - 11*w - 8]', '[1753, 1753, 4*w^3 - 4*w^2 - 17*w + 1]', '[1765, 1765, -4*w^3 + 9*w^2 + 12*w - 12]', '[1765, 1765, 6*w^3 - 9*w^2 - 22*w]', '[1792, 28, -4*w^3 + 8*w^2 + 12*w - 12]', '[1792, 28, 4*w^3 - 8*w^2 - 12*w]', '[1799, 1799, w^3 - 4*w^2 - w - 2]', '[1799, 1799, 5*w^3 - 8*w^2 - 23*w + 5]', '[1799, 1799, -w^3 - 2*w^2 + 13*w + 6]', '[1799, 1799, w^3 - 4*w^2 - w + 15]', '[1805, 95, 6*w^3 - 3*w^2 - 35*w - 13]', '[1805, 95, -6*w^3 + 8*w^2 + 25*w - 7]', '[1807, 1807, 5*w^3 - 6*w^2 - 24*w - 7]', '[1807, 1807, -2*w^3 + 5*w^2 + 3*w + 3]', '[1807, 1807, 5*w^3 - 7*w^2 - 21*w - 3]', '[1807, 1807, 4*w^3 - 7*w^2 - 14*w - 2]', '[1807, 1807, -3*w^3 + 6*w^2 + 8*w - 10]', '[1807, 1807, -2*w^3 + 4*w^2 + 3*w - 6]', '[1807, 1807, 8*w^3 - 9*w^2 - 38*w - 9]', '[1807, 1807, -w + 7]', '[1823, 1823, -5*w^3 + 8*w^2 + 19*w]', '[1823, 1823, -3*w^3 + 6*w^2 + 7*w - 7]', '[1831, 1831, 2*w^3 - 5*w^2 - 8*w + 10]', '[1831, 1831, w^3 + 2*w^2 - 10*w - 4]', '[1831, 1831, w^3 - w^2 - w - 5]', '[1831, 1831, 4*w^3 - 4*w^2 - 19*w]', '[1840, 230, 2*w^3 - 6*w^2 - 6*w + 10]', '[1840, 230, -4*w^2 + 6*w + 8]', '[1847, 1847, 3*w^3 - 2*w^2 - 16*w - 2]', '[1847, 1847, w^2 + 2*w - 6]', '[1855, 1855, -w^3 - 3*w^2 + 15*w + 9]', '[1855, 1855, 2*w^3 - 2*w^2 - 13*w - 2]', '[1855, 1855, -3*w^3 + 3*w^2 + 17*w + 3]', '[1855, 1855, 6*w^3 - 10*w^2 - 27*w + 6]', '[1861, 1861, 3*w^3 - 2*w^2 - 17*w - 1]', '[1861, 1861, -6*w^3 + 10*w^2 + 20*w - 3]', '[1861, 1861, 6*w^3 - 10*w^2 - 20*w + 5]', '[1861, 1861, w^3 - 2*w^2 - 7*w + 6]', '[1863, 69, 3*w^2 - 9*w - 3]', '[1863, 69, 6*w^3 - 9*w^2 - 27*w + 6]', '[1865, 1865, 2*w^3 - 6*w^2 - 2*w + 11]', '[1865, 1865, 3*w^3 - 7*w^2 - 7*w + 11]', '[1879, 1879, 7*w^3 - 8*w^2 - 33*w - 8]', '[1879, 1879, 4*w^3 - 7*w^2 - 19*w + 9]', '[1879, 1879, -5*w^3 + 5*w^2 + 20*w - 1]', '[1879, 1879, -6*w^3 + 10*w^2 + 19*w - 9]', '[1907, 1907, 6*w^3 - 8*w^2 - 24*w - 1]', '[1907, 1907, 4*w^3 - 6*w^2 - 12*w + 1]', '[1909, 1909, -4*w^3 + 13*w^2 - 8]', '[1909, 1909, -11*w^3 + 20*w^2 + 42*w - 22]', '[1909, 1909, -2*w^3 + 6*w^2 + 4*w - 9]', '[1909, 1909, -2*w^3 + 6*w^2 + 4*w - 7]', '[1913, 1913, 3*w^3 - 2*w^2 - 15*w - 2]', '[1913, 1913, w^3 - 3*w - 7]', '[1915, 1915, -6*w^3 + 8*w^2 + 23*w + 5]', '[1915, 1915, -4*w^3 + 9*w^2 + 13*w - 13]', '[1936, 22, 6*w^3 - 8*w^2 - 24*w]', '[1936, 22, 4*w^2 - 6*w - 12]', '[1937, 1937, -w^2 - 2*w - 5]', '[1937, 1937, -5*w^3 + 6*w^2 + 20*w + 2]', '[1937, 1937, 3*w^3 - 2*w^2 - 16*w - 13]', '[1937, 1937, -4*w^3 + 5*w^2 + 14*w + 2]', '[1937, 1937, 3*w^3 - 4*w^2 - 13*w - 8]', '[1937, 1937, 2*w^3 - 3*w^2 - 6*w + 8]', '[1937, 1937, -w^3 + 2*w^2 + w - 9]', '[1937, 1937, -3*w^3 + 4*w^2 + 12*w + 8]', '[1939, 1939, 12*w^3 - 18*w^2 - 49*w + 14]', '[1939, 1939, 4*w^3 - 4*w^2 - 20*w + 1]', '[1939, 1939, 4*w - 5]', '[1939, 1939, 5*w^3 - 11*w^2 - 7*w - 1]', '[1967, 1967, 10*w^3 - 14*w^2 - 43*w + 8]', '[1967, 1967, -2*w^2 + 5*w - 4]', '[1967, 1967, 3*w^3 - 5*w^2 - 13*w + 11]', '[1967, 1967, 7*w^3 - 13*w^2 - 27*w + 19]', '[1967, 1967, 2*w^3 - 4*w^2 - 2*w - 5]', '[1967, 1967, 3*w^3 - 10*w^2 + 4*w + 4]', '[1967, 1967, -w^3 - 2*w^2 + 12*w + 2]', '[1967, 1967, 12*w^3 - 19*w^2 - 50*w + 16]', '[1973, 1973, -3*w^3 + 3*w^2 + 17*w + 2]', '[1973, 1973, 2*w^3 - 2*w^2 - 13*w - 1]', '[1981, 1981, 3*w^3 - 5*w^2 - 10*w + 10]', '[1981, 1981, -3*w^3 + 5*w^2 + 10*w + 6]', '[1981, 1981, -w^2 + 7*w + 2]', '[1981, 1981, -6*w^3 + 7*w^2 + 29*w + 3]', '[1985, 1985, -3*w^3 + 8*w^2 + 9*w - 19]', '[1985, 1985, 5*w^3 - 3*w^2 - 28*w - 9]', '[1997, 1997, 4*w^3 - 5*w^2 - 14*w - 1]', '[1997, 1997, 5*w^3 - 6*w^2 - 20*w - 3]', '[2000, 10, 2*w^3 - 10*w - 12]', '[2000, 50, -2*w^3 + 6*w^2 + 4*w - 8]', '[2017, 2017, 4*w^3 - 7*w^2 - 11*w + 7]', '[2017, 2017, 6*w^3 - 9*w^2 - 23*w - 2]', '[2025, 15, -3*w^3 + 6*w^2 + 12*w]', '[2025, 15, -3*w^3 + 6*w^2 + 6*w - 6]', '[2053, 2053, 5*w^3 - 8*w^2 - 20*w + 1]', '[2053, 2053, -2*w^3 + 5*w^2 + 2*w - 7]', '[2063, 2063, w^3 - w^2 - 4*w - 8]', '[2063, 2063, -w^3 + w^2 + 4*w - 6]', '[2075, 415, -3*w^3 + 4*w^2 + 6*w + 3]', '[2075, 415, -w^3 + 6*w^2 - 4*w - 3]', '[2075, 415, w^3 - 4*w^2 - 5*w + 8]', '[2075, 415, 5*w^3 - 6*w^2 - 21*w + 4]', '[2083, 2083, -w^3 + 4*w^2 - 2*w - 9]', '[2083, 2083, 4*w^3 - 7*w^2 - 16*w + 1]', '[2087, 2087, -2*w^3 + 6*w^2 + 5*w - 10]', '[2087, 2087, -w^3 + 5*w^2 - w - 7]', '[2093, 2093, -4*w^3 + 3*w^2 + 21*w + 4]', '[2093, 2093, 6*w^3 - 9*w^2 - 25*w + 1]', '[2093, 2093, -2*w^3 + 5*w^2 + 3*w - 9]', '[2093, 2093, 4*w^3 - 7*w^2 - 15*w]', '[2093, 2093, -2*w^3 + 5*w^2 + w - 6]', '[2093, 2093, -w^2 - 3*w + 5]', '[2093, 2093, 2*w^3 - 13*w - 3]', '[2093, 2093, -w^3 + 3*w^2 + 5*w - 8]', '[2111, 2111, -5*w^3 + 9*w^2 + 19*w - 4]', '[2111, 2111, -8*w^3 + 13*w^2 + 29*w - 8]', '[2111, 2111, -2*w^3 + 6*w^2 + w - 9]', '[2111, 2111, -3*w^3 + 9*w^2 + 4*w - 14]', '[2113, 2113, 4*w^3 - 3*w^2 - 19*w - 4]', '[2113, 2113, -3*w^3 + 8*w^2 + 6*w - 10]', '[2137, 2137, -6*w^3 + 9*w^2 + 22*w - 4]', '[2137, 2137, -5*w^3 + 8*w^2 + 16*w]', '[2141, 2141, 2*w^3 + 2*w^2 - 15*w - 12]', '[2141, 2141, -6*w^3 + 7*w^2 + 25*w - 2]', '[2141, 2141, 6*w^3 - 8*w^2 - 27*w - 3]', '[2141, 2141, 5*w^3 - 6*w^2 - 21*w + 6]', '[2153, 2153, -2*w^3 + 12*w + 3]', '[2153, 2153, 2*w^2 - 9]', '[2155, 2155, -9*w^3 + 13*w^2 + 35*w + 1]', '[2155, 2155, 3*w^3 - w^2 - 20*w - 7]', '[2155, 2155, -6*w^3 + 12*w^2 + 20*w - 11]', '[2155, 2155, -3*w^3 + 6*w^2 + 10*w - 13]', '[2171, 2171, -4*w^3 + 7*w^2 + 18*w + 7]', '[2171, 2171, -7*w^3 + 11*w^2 + 31*w - 6]', '[2171, 2171, -3*w^3 + 5*w^2 + 16*w - 2]', '[2171, 2171, -5*w^3 + 6*w^2 + 25*w + 11]', '[2179, 2179, -2*w - 7]', '[2179, 2179, -w^3 - 3*w^2 + 10*w + 6]', '[2179, 2179, -2*w^3 + 2*w^2 + 10*w + 9]', '[2179, 2179, 2*w^3 - 6*w^2 - w - 2]', '[2191, 2191, -3*w^3 + 7*w^2 + 5*w + 3]', '[2191, 2191, -6*w^3 + 8*w^2 + 28*w - 3]', '[2191, 2191, -2*w^2 + 8*w + 1]', '[2191, 2191, 6*w^3 - 10*w^2 - 23*w + 14]', '[2197, 13, 4*w^3 - 9*w^2 - 12*w + 11]', '[2197, 13, 3*w^3 - 8*w^2 - 6*w + 7]', '[2197, 169, 3*w^3 - 2*w^2 - 14*w - 1]', '[2197, 169, -2*w^3 + w^2 + 8*w + 9]', '[2197, 2197, -6*w^3 + 9*w^2 + 26*w - 1]', '[2197, 2197, -w^3 + 4*w^2 - 4*w - 7]', '[2203, 2203, -5*w^3 + 8*w^2 + 16*w - 3]', '[2203, 2203, 6*w^3 - 9*w^2 - 22*w + 1]', '[2213, 2213, 4*w^3 - 6*w^2 - 17*w - 4]', '[2213, 2213, -w^3 + 3*w^2 - w - 9]', '[2224, 278, 2*w^3 - 14*w - 2]', '[2224, 278, -2*w^3 + 4*w^2 + 10*w - 8]', '[2224, 278, 6*w^3 - 6*w^2 - 28*w - 4]', '[2224, 278, -6*w^3 + 10*w^2 + 26*w - 4]', '[2237, 2237, 7*w^3 - 7*w^2 - 31*w - 7]', '[2237, 2237, -6*w^3 + 11*w^2 + 24*w - 7]', '[2239, 2239, 2*w^3 - 3*w^2 - 8*w + 8]', '[2239, 2239, -4*w^2 + 6*w + 9]', '[2239, 2239, w^3 - 2*w^2 - 2*w - 6]', '[2239, 2239, -2*w^3 + 6*w^2 + 6*w - 9]', '[2249, 2249, 3*w^3 - w^2 - 12*w - 9]', '[2249, 2249, 3*w^3 - 15*w - 14]', '[2249, 2249, 3*w^3 - 15*w - 7]', '[2249, 2249, 5*w^3 - 3*w^2 - 24*w - 9]', '[2267, 2267, -5*w^3 + 9*w^2 + 18*w - 3]', '[2267, 2267, -3*w^3 + 7*w^2 + 6*w - 9]', '[2275, 455, -7*w^3 + 12*w^2 + 27*w - 7]', '[2275, 455, -6*w^3 + 8*w^2 + 28*w - 1]', '[2275, 455, -4*w^2 + 6*w + 11]', '[2275, 455, -w^3 + 2*w^2 - w + 5]', '[2275, 455, -5*w^3 + 6*w^2 + 23*w - 4]', '[2275, 455, -2*w^3 + 6*w^2 + 6*w - 7]', '[2275, 455, 2*w^2 - 8*w - 3]', '[2275, 455, 3*w^3 - 8*w^2 - 3*w + 8]', '[2285, 2285, -4*w^3 + 11*w^2 + 6*w - 13]', '[2285, 2285, -5*w^3 + 8*w^2 + 18*w + 4]', '[2287, 2287, 5*w^3 - 3*w^2 - 29*w - 10]', '[2287, 2287, 5*w^3 - 9*w^2 - 12*w]', '[2297, 2297, -w^2 + 2*w - 5]', '[2297, 2297, w^3 - 2*w^2 - 4*w + 9]', '[2311, 2311, -5*w^3 + 9*w^2 + 16*w + 1]', '[2311, 2311, 6*w^3 - 7*w^2 - 30*w - 6]', '[2311, 2311, 4*w^3 - 7*w^2 - 17*w + 1]', '[2311, 2311, 3*w^2 - 7*w - 10]', '[2315, 2315, -8*w^3 + 12*w^2 + 31*w - 5]', '[2315, 2315, 2*w^3 - 7*w^2 - w + 11]', '[2327, 2327, 5*w^3 - 8*w^2 - 22*w + 1]', '[2327, 2327, 3*w^2 - 6*w - 14]', '[2327, 2327, 3*w^3 - 6*w^2 - 12*w - 2]', '[2327, 2327, 3*w^2 - 8*w - 9]', '[2327, 2327, 3*w^3 - 6*w^2 - 13*w]', '[2327, 2327, 2*w^2 - 6*w - 9]', '[2327, 2327, 4*w^3 - 6*w^2 - 18*w - 3]', '[2327, 2327, w^3 + 2*w^2 - 11*w - 13]', '[2333, 2333, 2*w^3 - 2*w^2 - 6*w - 7]', '[2333, 2333, 4*w^3 - 4*w^2 - 18*w + 1]', '[2345, 2345, -3*w^3 + 11*w^2 - 5*w - 3]', '[2345, 2345, -4*w^3 + 4*w^2 + 21*w - 6]', '[2345, 2345, -4*w^2 + 10*w - 1]', '[2345, 2345, 8*w^3 - 11*w^2 - 34*w + 12]', '[2369, 2369, -6*w^3 + 12*w^2 + 22*w - 11]', '[2369, 2369, -7*w^3 + 14*w^2 + 24*w - 18]', '[2369, 2369, -4*w^3 + 11*w^2 + 6*w - 6]', '[2369, 2369, -2*w^3 + 8*w^2 - 2*w - 11]', '[2377, 2377, -2*w^3 + 4*w^2 + 3*w - 7]', '[2377, 2377, -5*w^3 + 7*w^2 + 21*w + 4]', '[2383, 2383, -6*w^3 + 9*w^2 + 22*w - 3]', '[2383, 2383, -5*w^3 + 8*w^2 + 16*w - 1]', '[2384, 298, -2*w^2 + 8*w + 2]', '[2384, 298, -6*w^3 + 8*w^2 + 28*w - 2]', '[2384, 298, 4*w^2 - 6*w - 10]', '[2384, 298, -2*w^3 + 6*w^2 + 6*w - 8]', '[2401, 7, 7]', '[2401, 49, w^3 - w^2 - 6*w + 7]', '[2401, 49, 5*w^3 - 10*w^2 - 16*w + 4]', '[2401, 49, -w^3 + 5*w^2 - w - 9]', '[2401, 49, -2*w^3 + 6*w^2 + 5*w - 8]', '[2401, 343, 4*w^3 - 9*w^2 - 12*w + 9]', '[2401, 343, 3*w^3 - 8*w^2 - 6*w + 9]', '[2401, 2401, 3*w^3 - 4*w^2 - 13*w + 8]', '[2401, 2401, -w^3 + 2*w^2 + w + 7]', '[2411, 2411, 4*w^3 - 6*w^2 - 20*w + 1]', '[2411, 2411, -3*w^3 + 8*w^2 + 8*w - 6]', '[2411, 2411, -2*w^3 + 16*w + 7]', '[2411, 2411, 2*w^3 - 7*w^2 - 2*w + 14]', '[2423, 2423, -3*w^3 + 8*w^2 + 6*w - 8]', '[2423, 2423, 4*w^3 - 9*w^2 - 12*w + 10]', '[2429, 2429, 4*w^3 - 7*w^2 - 13*w + 13]', '[2429, 2429, -4*w^3 + 7*w^2 + 13*w + 6]', '[2429, 2429, -w^3 + w^2 + 10*w + 2]', '[2429, 2429, -5*w^3 + 5*w^2 + 26*w + 6]', '[2435, 2435, 7*w^3 - 12*w^2 - 26*w + 6]', '[2435, 2435, 8*w^3 - 12*w^2 - 31*w]', '[2437, 2437, -6*w^3 + 12*w^2 + 21*w - 14]', '[2437, 2437, 4*w^3 - w^2 - 23*w - 11]', '[2441, 2441, 5*w^3 - 5*w^2 - 20*w - 3]', '[2441, 2441, 2*w^3 - 2*w^2 - 11*w + 7]', '[2441, 2441, 5*w^3 - 5*w^2 - 20*w - 7]', '[2441, 2441, -w^3 + w^2 + 7*w - 8]', '[2459, 2459, -5*w^3 + 11*w^2 + 14*w - 9]', '[2459, 2459, -5*w^3 + 11*w^2 + 14*w - 11]', '[2459, 2459, 5*w^3 - 6*w^2 - 22*w + 4]', '[2459, 2459, 2*w^3 - 3*w^2 - 4*w - 6]', '[2461, 2461, 4*w^3 - 4*w^2 - 19*w + 1]', '[2461, 2461, -7*w^3 + 13*w^2 + 28*w - 16]', '[2461, 2461, -w^3 + 7*w^2 - 8*w - 6]', '[2461, 2461, w^3 - w^2 - w - 6]', '[2471, 2471, w^3 - 5*w^2 + 7*w + 4]', '[2471, 2471, -8*w^3 + 12*w^2 + 35*w - 7]', '[2471, 2471, -w^3 + 3*w^2 + w + 4]', '[2471, 2471, 2*w^3 - 4*w^2 - 7*w + 11]', '[2495, 2495, 9*w^3 - 14*w^2 - 36*w + 6]', '[2495, 2495, -3*w^3 + 8*w^2 + 2*w - 7]', '[2495, 2495, 7*w^3 - 15*w^2 - 22*w + 25]', '[2495, 2495, 6*w^3 - 10*w^2 - 21*w]', '[2503, 2503, 5*w^3 - 5*w^2 - 22*w - 1]', '[2503, 2503, 3*w^3 - 3*w^2 - 10*w - 7]', '[2507, 2507, 6*w^3 - 12*w^2 - 19*w + 6]', '[2507, 2507, 5*w^3 - 9*w^2 - 16*w - 3]', '[2507, 2507, w^3 - 5*w^2 - w + 6]', '[2507, 2507, 17*w^3 - 29*w^2 - 67*w + 25]', '[2507, 2507, -w^3 + 4*w^2 - 3*w - 8]', '[2507, 2507, 5*w^3 - 8*w^2 - 21*w + 1]', '[2507, 2507, 5*w^3 - 11*w^2 - 20*w + 12]', '[2507, 2507, -5*w^3 + 9*w^2 + 16*w - 13]', '[2527, 133, -w^3 - 4*w^2 + 13*w + 20]', '[2527, 133, -9*w^3 + 14*w^2 + 32*w - 15]', '[2527, 133, -8*w^3 + 13*w^2 + 26*w + 7]', '[2527, 133, 3*w^3 - 8*w^2 - 11*w + 3]', '[2539, 2539, -6*w^3 + 11*w^2 + 20*w - 14]', '[2539, 2539, -2*w^3 + 10*w + 1]', '[2539, 2539, -9*w^3 + 9*w^2 + 41*w + 10]', '[2539, 2539, 2*w^3 - 10*w - 13]', '[2543, 2543, 5*w^3 - 7*w^2 - 18*w + 1]', '[2543, 2543, -5*w^3 + 7*w^2 + 18*w + 1]', '[2545, 2545, -w^3 + 5*w^2 - 4*w - 10]', '[2545, 2545, 12*w^3 - 20*w^2 - 47*w + 15]', '[2545, 2545, -4*w^3 + 9*w^2 + 11*w - 16]', '[2545, 2545, -3*w^3 + 22*w + 11]', '[2557, 2557, w^3 - 11*w - 4]', '[2557, 2557, 5*w^3 - 6*w^2 - 25*w - 3]', '[2561, 2561, 4*w^3 - 5*w^2 - 20*w - 11]', '[2561, 2561, 3*w^3 - 7*w^2 - 12*w + 2]', '[2561, 2561, 5*w^3 - 4*w^2 - 27*w - 17]', '[2561, 2561, 5*w^3 - 9*w^2 - 21*w + 4]', '[2575, 515, 3*w^3 - 2*w^2 - 17*w]', '[2575, 515, -w^3 + 3*w + 8]', '[2575, 515, w^3 + 2*w^2 - 8*w + 1]', '[2575, 515, -w^3 - 2*w + 3]', '[2576, 322, 6*w^3 - 10*w^2 - 22*w + 2]', '[2576, 322, 4*w^3 - 4*w^2 - 20*w + 2]', '[2576, 322, 4*w - 6]', '[2576, 322, -4*w^3 + 8*w^2 + 10*w - 8]', '[2597, 371, 3*w^3 - 3*w^2 - 11*w - 10]', '[2597, 371, w^3 + 3*w^2 - 10*w - 10]', '[2597, 371, 4*w^3 - 4*w^2 - 17*w + 3]', '[2597, 371, -w^3 + 5*w^2 + 2*w - 10]', '[2597, 2597, 4*w^3 - 5*w^2 - 17*w - 10]', '[2597, 2597, 2*w^3 - 3*w^2 - 9*w - 7]', '[2597, 2597, w^2 - 3*w - 10]', '[2597, 2597, -2*w^3 + 3*w^2 + 5*w - 9]', '[2605, 2605, -2*w^3 + 3*w^2 + 12*w - 8]', '[2605, 2605, 6*w^3 - 11*w^2 - 20*w + 15]', '[2605, 2605, 10*w^3 - 17*w^2 - 35*w + 12]', '[2605, 2605, -2*w^3 + 5*w^2 + 8*w - 16]', '[2611, 2611, 2*w^3 - 3*w^2 - 3*w - 4]', '[2611, 2611, 6*w^3 - 7*w^2 - 27*w + 1]', '[2611, 2611, 3*w^3 - 5*w^2 - 6*w - 4]', '[2611, 2611, 7*w^3 - 9*w^2 - 30*w + 4]', '[2615, 2615, 5*w^3 - 4*w^2 - 24*w - 17]', '[2615, 2615, w^3 - 6*w^2 + 2*w + 23]', '[2617, 2617, -3*w^3 + w^2 + 18*w + 5]', '[2617, 2617, -w^3 + 3*w^2 + 6*w - 7]', '[2633, 2633, 5*w^3 - 6*w^2 - 23*w + 5]', '[2633, 2633, 4*w^2 - 4*w - 7]', '[2645, 115, -5*w^3 + 11*w^2 + 14*w - 10]', '[2645, 115, -5*w^3 + 7*w^2 + 18*w]', '[2645, 2645, -w^2 + w + 10]', '[2645, 2645, w^2 - w + 5]', '[2663, 2663, -w^3 + 3*w^2 + w - 12]', '[2663, 2663, 2*w^3 - 4*w^2 - 7*w - 5]', '[2672, 334, -2*w^3 - 2*w^2 + 14*w + 8]', '[2672, 334, -8*w^3 + 12*w^2 + 30*w - 8]', '[2675, 535, -2*w^3 + 7*w^2 + 2*w - 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5]', '[2725, 545, -3*w^3 + w^2 + 11*w - 1]', '[2725, 545, -w^3 + w^2 + 11*w + 4]', '[2725, 545, w^3 - 3*w^2 - 3*w - 4]', '[2735, 2735, 7*w^3 - 11*w^2 - 26*w]', '[2735, 2735, 8*w^3 - 13*w^2 - 31*w + 6]', '[2749, 2749, -3*w^3 + 4*w^2 + 11*w - 8]', '[2749, 2749, -4*w^3 + 3*w^2 + 23*w + 6]', '[2749, 2749, -w^3 + 3*w^2 + 2*w - 12]', '[2749, 2749, -4*w^3 + 9*w^2 + 14*w - 11]', '[2768, 346, 2*w^2 - 6*w - 10]', '[2768, 346, 4*w^3 - 4*w^2 - 22*w]', '[2777, 2777, -3*w^3 + 6*w^2 + 14*w - 9]', '[2777, 2777, -2*w^3 - w^2 + 16*w + 5]', '[2779, 2779, w^3 - 4*w^2 + 2*w + 10]', '[2779, 2779, -13*w^3 + 19*w^2 + 55*w - 7]', '[2779, 2779, -6*w^3 + 10*w^2 + 20*w + 5]', '[2779, 2779, -4*w^2 + 7*w + 16]', '[2783, 253, -2*w^3 + 7*w^2 + w - 10]', '[2783, 253, 7*w^3 - 11*w^2 - 23*w - 4]', '[2783, 253, -9*w^3 + 17*w^2 + 33*w - 20]', '[2783, 253, 9*w^3 - 13*w^2 - 36*w + 4]', '[2785, 2785, -2*w^3 + 8*w^2 - 2*w - 9]', '[2785, 2785, 13*w^3 - 19*w^2 - 53*w + 9]', '[2791, 2791, -4*w^3 + 9*w^2 + 9*w - 10]', '[2791, 2791, -3*w^3 + 5*w^2 + 8*w + 8]', '[2791, 2791, -5*w^3 + 7*w^2 + 20*w - 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4]', '[4399, 4399, -2*w^3 + 7*w^2 + w - 17]', '[4409, 4409, 5*w^3 - 5*w^2 - 19*w - 4]', '[4409, 4409, 8*w^3 - 13*w^2 - 28*w + 7]', '[4409, 4409, 6*w^3 - 6*w^2 - 25*w - 7]', '[4409, 4409, -7*w^3 + 12*w^2 + 22*w - 3]', '[4415, 4415, -10*w^3 + 16*w^2 + 37*w - 8]', '[4415, 4415, -5*w^3 + 12*w^2 + 12*w - 14]', '[4417, 4417, -8*w^3 + 13*w^2 + 31*w - 5]', '[4417, 4417, -9*w^3 + 16*w^2 + 35*w - 24]', '[4417, 4417, -13*w^3 + 21*w^2 + 52*w - 14]', '[4417, 4417, 5*w^3 - 13*w^2 - 4*w + 8]', '[4417, 4417, 5*w^2 - 14*w - 3]', '[4417, 4417, -9*w^3 + 14*w^2 + 40*w - 13]', '[4417, 4417, 4*w^3 - 9*w^2 - 7*w + 8]', '[4417, 4417, -3*w^3 + 10*w^2 - w + 1]', '[4432, 554, -8*w^3 + 12*w^2 + 30*w - 6]', '[4432, 554, -6*w^3 + 10*w^2 + 18*w]', '[4457, 4457, 4*w^3 - 3*w^2 - 17*w - 13]', '[4457, 4457, 4*w^3 - 3*w^2 - 17*w]', '[4459, 91, -3*w^3 + 2*w^2 + 11*w + 9]', '[4459, 91, -w^3 - 2*w^2 + 13*w + 12]', '[4459, 91, -5*w^3 + 8*w^2 + 23*w + 1]', '[4459, 91, -5*w^3 + 4*w^2 + 23*w + 4]', '[4459, 637, 6*w^3 - 10*w^2 - 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10]', '[4751, 4751, -4*w^3 + 10*w^2 + 11*w - 16]', '[4751, 4751, 3*w^3 - 9*w^2 - 5*w + 7]', '[4751, 4751, 2*w^3 - 3*w^2 - 8*w - 8]', '[4765, 4765, -w^3 + 6*w^2 - 3*w - 12]', '[4765, 4765, 9*w^3 - 12*w^2 - 37*w]', '[4781, 4781, -6*w^3 + 6*w^2 + 26*w + 1]', '[4781, 4781, -4*w^3 + 4*w^2 + 14*w + 9]', '[4781, 4781, -3*w^3 + 3*w^2 + 7*w + 5]', '[4781, 4781, -8*w^3 + 8*w^2 + 37*w + 6]', '[4784, 598, 2*w^3 - 4*w^2 - 6*w + 12]', '[4784, 598, -6*w^3 + 8*w^2 + 22*w - 2]', '[4784, 598, -6*w^3 + 8*w^2 + 22*w + 4]', '[4784, 598, -2*w^3 + 4*w^2 + 6*w + 6]', '[4801, 4801, 4*w^3 - 3*w^2 - 20*w - 2]', '[4801, 4801, 6*w^3 - 6*w^2 - 29*w - 2]', '[4801, 4801, w^3 - 2*w - 8]', '[4801, 4801, 5*w^3 - 4*w^2 - 26*w - 4]', '[4805, 155, -2*w^3 + 8*w^2 - 3*w - 13]', '[4805, 155, -8*w^3 + 15*w^2 + 27*w - 19]', '[4813, 4813, 7*w^3 - 8*w^2 - 29*w - 3]', '[4813, 4813, 5*w^3 - 6*w^2 - 17*w - 4]', '[4823, 4823, -w^3 + 12*w + 12]', '[4823, 4823, -8*w^3 + 7*w^2 + 34*w + 18]', '[4823, 4823, -5*w^3 + 2*w^2 + 24*w + 10]', '[4823, 4823, -6*w^3 + 9*w^2 + 30*w + 4]', '[4823, 4823, -3*w^3 + 24*w + 16]', '[4823, 4823, -4*w^3 + w^2 + 18*w + 14]', '[4823, 4823, -7*w^3 + 6*w^2 + 28*w + 2]', '[4823, 4823, -6*w^3 + 7*w^2 + 30*w + 12]', '[4849, 4849, -5*w^3 + 6*w^2 + 26*w + 4]', '[4849, 4849, -5*w^3 + 5*w^2 + 27*w + 7]', '[4849, 4849, -2*w^3 + 2*w^2 + 15*w + 4]', '[4849, 4849, -2*w^3 + w^2 + 16*w + 6]', '[4865, 4865, 12*w^3 - 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4]', '[5021, 5021, w^3 + 4*w^2 - 12*w - 12]', '[5023, 5023, 6*w^3 - 11*w^2 - 20*w + 2]', '[5023, 5023, 5*w^3 - 10*w^2 - 14*w + 12]', '[5039, 5039, -2*w^3 + 3*w^2 + 5*w - 10]', '[5039, 5039, 4*w^3 - 5*w^2 - 17*w - 11]', '[5039, 5039, 6*w^3 - 5*w^2 - 28*w - 6]', '[5039, 5039, -3*w^3 + 9*w^2 + 4*w - 11]', '[5041, 71, -3*w^3 + 8*w^2 + 5*w - 14]', '[5041, 71, 7*w^3 - 9*w^2 - 31*w - 6]', '[5047, 721, -3*w^3 + 9*w^2 + 5*w - 15]', '[5047, 721, 5*w^2 - 7*w - 16]', '[5047, 721, -4*w^3 + 10*w^2 + 11*w - 8]', '[5047, 721, -2*w^3 + 7*w^2 + 5*w - 7]', '[5047, 5047, -2*w^2 + 4*w - 5]', '[5047, 5047, -2*w^3 + w^2 + 10*w - 6]', '[5047, 5047, w^3 - 4*w - 14]', '[5047, 5047, -2*w^3 + 4*w^2 + 8*w - 13]', '[5051, 5051, 4*w^3 - 6*w^2 - 21*w + 4]', '[5051, 5051, w^3 + w^2 - 13*w - 5]', '[5051, 5051, 6*w^3 - 8*w^2 - 29*w]', '[5051, 5051, 3*w^3 - w^2 - 21*w - 5]', '[5099, 5099, -9*w^3 + 16*w^2 + 35*w - 11]', '[5099, 5099, 4*w^3 - 7*w^2 - 17*w - 3]', '[5099, 5099, w^3 - 6*w^2 - 4*w + 8]', '[5099, 5099, 3*w^2 - 7*w - 14]', '[5105, 5105, 8*w^3 - 10*w^2 - 33*w - 5]', '[5105, 5105, 10*w^3 - 14*w^2 - 45*w + 9]', '[5105, 5105, -w^2 + 5*w - 9]', '[5105, 5105, -2*w^3 + 7*w^2 + 3*w - 13]', '[5113, 5113, w^2 - 2*w - 11]', '[5113, 5113, w^3 - 2*w^2 - 4*w - 7]', '[5129, 5129, -2*w^3 - 3*w^2 + 22*w + 6]', '[5129, 5129, 7*w^3 - 9*w^2 - 26*w + 4]', '[5129, 5129, 5*w^3 - 7*w^2 - 15*w - 2]', '[5129, 5129, -14*w^3 + 20*w^2 + 60*w - 13]', '[5153, 5153, -w^3 + 3*w^2 + 6*w - 9]', '[5153, 5153, -3*w^3 + w^2 + 18*w + 3]', '[5161, 5161, 7*w^3 - 7*w^2 - 30*w - 7]', '[5161, 5161, 11*w^3 - 12*w^2 - 49*w - 8]', '[5161, 5161, 3*w^3 + 2*w^2 - 21*w - 16]', '[5161, 5161, 5*w^3 - 30*w - 23]', '[5167, 5167, 3*w^2 - w - 13]', '[5167, 5167, -2*w^3 - w^2 + 13*w + 4]', '[5171, 5171, 4*w^3 - 7*w^2 - 18*w - 2]', '[5171, 5171, -8*w^3 + 14*w^2 + 25*w + 2]', '[5171, 5171, w^3 + 2*w^2 - 12*w - 14]', '[5171, 5171, -9*w^3 + 15*w^2 + 31*w - 15]', '[5197, 5197, w^3 - 12*w]', '[5197, 5197, 6*w^3 - 7*w^2 - 30*w]', '[5200, 130, 8*w^3 - 12*w^2 - 30*w + 4]', '[5200, 130, -2*w^2 - 2*w + 8]', '[5200, 130, 6*w^3 - 10*w^2 - 18*w + 2]', '[5200, 130, 4*w^3 - 2*w^2 - 22*w - 6]', '[5215, 5215, -w^3 + 4*w^2 - 3*w + 5]', '[5215, 5215, -5*w^3 + 9*w^2 + 13*w + 8]', '[5215, 5215, w^2 - 3*w + 7]', '[5215, 5215, 9*w^3 - 14*w^2 - 33*w + 3]', '[5215, 5215, -6*w^3 + 13*w^2 + 18*w - 15]', '[5215, 5215, -2*w^3 + 3*w^2 + 9*w - 10]', '[5215, 5215, -8*w^3 + 12*w^2 + 31*w - 15]', '[5215, 5215, -5*w^3 + 8*w^2 + 21*w - 14]', '[5221, 5221, -4*w^3 + 6*w^2 + 15*w - 11]', '[5221, 5221, 3*w^3 - 7*w^2 - 6*w - 4]', '[5221, 5221, -5*w^3 + 9*w^2 + 18*w - 16]', '[5221, 5221, 3*w^3 - 5*w^2 - 9*w - 8]', '[5227, 5227, -2*w^3 + 7*w^2 - w - 12]', '[5227, 5227, 6*w^3 - 11*w^2 - 23*w + 5]', '[5233, 5233, w^3 - 5*w^2 + 3*w + 18]', '[5233, 5233, -9*w^3 + 14*w^2 + 32*w - 10]', '[5243, 749, 3*w^3 - 18*w - 7]', '[5243, 749, 2*w^3 + w^2 - 15*w - 4]', '[5243, 749, 3*w^2 - 11]', '[5243, 749, -2*w^3 + 5*w^2 + 9*w - 11]', '[5243, 5243, 5*w^3 - 9*w^2 - 18*w]', '[5243, 5243, -3*w^3 + 7*w^2 + 6*w - 12]', '[5243, 5243, 6*w^3 - 10*w^2 - 21*w - 3]', '[5243, 5243, -5*w^3 + 9*w^2 + 15*w - 12]', '[5245, 5245, 2*w^3 + 5*w^2 - 22*w - 25]', '[5245, 5245, 6*w^3 - 5*w^2 - 32*w - 4]', '[5245, 5245, 6*w^3 - 7*w^2 - 28*w + 4]', '[5245, 5245, 7*w^3 - 12*w^2 - 23*w + 13]', '[5265, 195, 3*w^3 - 6*w^2 - 6*w + 9]', '[5265, 195, 6*w^3 - 9*w^2 - 24*w - 3]', '[5273, 5273, -5*w^3 + 9*w^2 + 20*w - 2]', '[5273, 5273, -w^3 + 5*w^2 - 4*w - 12]', '[5303, 5303, 5*w^3 - 11*w^2 - 17*w + 11]', '[5303, 5303, -2*w^3 + 8*w^2 - w - 12]', '[5323, 5323, -4*w^3 + 8*w^2 + 16*w - 1]', '[5323, 5323, 4*w^2 - 8*w - 15]', '[5341, 763, -8*w^3 + 15*w^2 + 27*w - 20]', '[5341, 763, 10*w^3 - 18*w^2 - 38*w + 13]', '[5341, 763, -2*w^3 + 5*w^2 + 2*w - 11]', '[5341, 763, 2*w^2 - 7*w - 12]', '[5341, 763, 2*w^3 - 7*w^2 - 7*w + 9]', '[5341, 763, 4*w^3 - 8*w^2 - 17*w + 13]', '[5341, 763, 5*w^3 - 8*w^2 - 20*w - 3]', '[5341, 763, 5*w^3 - 7*w^2 - 23*w - 7]', '[5341, 5341, 3*w^3 - 3*w^2 - 9*w + 8]', '[5341, 5341, 10*w^3 - 14*w^2 - 41*w + 14]', '[5341, 5341, 3*w^3 - w^2 - 16*w - 3]', '[5341, 5341, w^3 - w^2 - 2*w + 8]', '[5341, 5341, 7*w^3 - 9*w^2 - 31*w + 9]', '[5341, 5341, 3*w^3 - 19*w - 7]', '[5341, 5341, -w^3 + 4*w^2 + 5*w - 10]', '[5341, 5341, w^3 + w^2 - 4*w - 11]', '[5359, 5359, -3*w^3 + 6*w^2 + 6*w + 7]', '[5359, 5359, 3*w^3 - 8*w^2 - 3*w - 3]', '[5359, 5359, 7*w^3 - 12*w^2 - 27*w + 18]', '[5359, 5359, -6*w^3 + 9*w^2 + 24*w - 13]', '[5360, 670, 6*w^3 - 14*w^2 - 14*w + 12]', '[5360, 670, -8*w^3 + 16*w^2 + 26*w - 14]', '[5381, 5381, -4*w^3 + 10*w^2 + 10*w - 13]', '[5381, 5381, 3*w^3 - 4*w^2 - 18*w - 2]', '[5381, 5381, -4*w^3 + 3*w^2 + 24*w + 8]', '[5381, 5381, -9*w^3 + 13*w^2 + 35*w - 1]', '[5387, 5387, -7*w^3 + 14*w^2 + 25*w - 15]', '[5387, 5387, 10*w^3 - 13*w^2 - 40*w - 9]', '[5393, 5393, -7*w^3 + 11*w^2 + 24*w - 5]', '[5393, 5393, -7*w^3 + 11*w^2 + 24*w - 1]', '[5395, 5395, -8*w^3 + 10*w^2 + 33*w - 5]', '[5395, 5395, 5*w^3 - 7*w^2 - 15*w - 8]', '[5395, 5395, -w^3 - 3*w^2 + 10*w + 4]', '[5395, 5395, -w^3 + 5*w^2 + 2*w - 16]', '[5407, 5407, -2*w^3 + 7*w^2 + w - 20]', '[5407, 5407, -10*w^3 + 16*w^2 + 35*w - 12]', '[5417, 5417, -5*w^3 + 6*w^2 + 17*w]', '[5417, 5417, 7*w^3 - 8*w^2 - 29*w - 7]', '[5419, 5419, w^3 - 12*w - 3]', '[5419, 5419, -w^3 + w^2 + 5*w - 8]', '[5419, 5419, 6*w^3 - 7*w^2 - 30*w - 3]', '[5419, 5419, w - 9]', '[5427, 201, 6*w^3 - 12*w^2 - 21*w + 6]', '[5427, 201, -3*w^3 + 9*w^2 + 3*w - 15]', '[5443, 5443, 7*w^3 - 9*w^2 - 27*w + 2]', '[5443, 5443, 6*w^3 - 8*w^2 - 21*w - 5]', '[5459, 5459, 6*w^3 - 11*w^2 - 27*w + 13]', '[5459, 5459, -2*w^3 - 3*w^2 + 21*w + 8]', '[5459, 5459, 7*w^3 - 9*w^2 - 30*w + 8]', '[5459, 5459, -7*w^3 + 9*w^2 + 34*w + 3]', '[5465, 5465, -10*w^3 + 12*w^2 + 42*w + 11]', '[5465, 5465, 13*w^3 - 18*w^2 - 54*w + 4]', '[5477, 5477, -8*w^3 + 13*w^2 + 29*w - 1]', '[5477, 5477, -6*w^3 + 11*w^2 + 17*w - 10]', '[5485, 5485, -3*w^3 + 7*w^2 + 9*w - 18]', '[5485, 5485, 3*w^3 - w^2 - 21*w - 6]', '[5488, 14, -8*w^3 + 12*w^2 + 34*w - 2]', '[5488, 14, 2*w^3 - 6*w^2 + 2*w + 8]', '[5488, 98, 10*w^3 - 16*w^2 - 40*w + 8]', '[5488, 98, -4*w^3 + 10*w^2 + 4*w - 8]', '[5488, 686, 2*w^3 - 4*w^2 - 12*w + 8]', '[5488, 686, -4*w^3 + 2*w^2 + 24*w + 4]', '[5503, 5503, -5*w^3 + 10*w^2 + 12*w - 9]', '[5503, 5503, -8*w^3 + 13*w^2 + 30*w - 3]', '[5509, 5509, 3*w^3 - 11*w^2 - w + 7]', '[5509, 5509, 6*w^3 - 14*w^2 - 19*w + 24]', '[5509, 5509, -6*w^3 + 8*w^2 + 22*w - 1]', '[5509, 5509, -6*w^3 + 8*w^2 + 22*w + 3]', '[5515, 5515, 12*w^3 - 13*w^2 - 56*w - 8]', '[5515, 5515, 7*w^3 - 13*w^2 - 23*w + 19]', '[5545, 5545, 17*w^3 - 27*w^2 - 68*w + 18]', '[5545, 5545, 10*w^3 - 15*w^2 - 46*w + 16]', '[5545, 5545, 8*w^3 - 15*w^2 - 23*w]', '[5545, 5545, w^3 + 5*w^2 - 16*w - 20]', '[5552, 694, -2*w^3 + 4*w^2 + 2*w - 10]', '[5552, 694, 6*w^3 - 8*w^2 - 26*w - 8]', '[5561, 5561, -7*w^3 + 12*w^2 + 27*w - 5]', '[5561, 5561, -3*w^3 + 8*w^2 + 3*w - 10]', '[5561, 5561, -3*w^3 + 6*w^2 + 14*w - 11]', '[5561, 5561, 2*w^3 + w^2 - 16*w - 3]', '[5563, 5563, 3*w^3 - 4*w^2 - 8*w - 8]', '[5563, 5563, 6*w^3 - 7*w^2 - 26*w + 4]', '[5573, 5573, 7*w^3 - 8*w^2 - 29*w - 4]', '[5573, 5573, -3*w^3 + w^2 + 20*w]', '[5575, 1115, 7*w^3 - 10*w^2 - 26*w - 1]', '[5575, 1115, 5*w^3 - 12*w^2 - 12*w + 13]', '[5575, 1115, -3*w^3 - w^2 + 11*w + 3]', '[5575, 1115, w^3 + w^2 + w - 5]', '[5591, 5591, -5*w^3 + 3*w^2 + 27*w + 8]', '[5591, 5591, w^3 - w^2 - 7]', '[5591, 5591, 7*w^3 - 7*w^2 - 33*w - 4]', '[5591, 5591, 5*w^3 - 5*w^2 - 24*w + 1]', '[5603, 5603, -4*w^3 + 4*w^2 + 15*w + 12]', '[5603, 5603, w^3 + 2*w^2 - 15*w - 12]', '[5603, 5603, 2*w^3 + w^2 - 10*w]', '[5603, 5603, 4*w^3 - 7*w^2 - 20*w - 3]', '[5603, 5603, -3*w^3 + 16*w + 20]', '[5603, 5603, 3*w^3 - 22*w - 17]', '[5603, 5603, 5*w^3 - 5*w^2 - 21*w + 3]', '[5603, 5603, 7*w^3 - 10*w^2 - 33*w - 3]', '[5635, 805, 7*w^3 - 8*w^2 - 28*w - 1]', '[5635, 805, -8*w^3 + 11*w^2 + 31*w - 4]', '[5635, 805, 6*w^3 - 7*w^2 - 22*w - 7]', '[5635, 805, -6*w^3 + 9*w^2 + 19*w + 3]', '[5635, 5635, 6*w^3 - 8*w^2 - 21*w + 3]', '[5635, 5635, 7*w^3 - 9*w^2 - 27*w - 6]', '[5635, 5635, -w^3 - w^2 + 13*w + 4]', '[5635, 5635, -6*w^3 + 8*w^2 + 29*w - 1]', '[5648, 706, 6*w^3 - 10*w^2 - 24*w + 2]', '[5648, 706, -2*w^3 + 6*w^2 - 10]', '[5671, 5671, 6*w^3 - 7*w^2 - 30*w - 1]', '[5671, 5671, -6*w^3 + 9*w^2 + 20*w + 1]', '[5671, 5671, 7*w^3 - 10*w^2 - 26*w + 3]', '[5671, 5671, w^3 - 5*w - 13]', '[5675, 1135, 5*w^3 - 9*w^2 - 19*w + 1]', '[5675, 1135, w^3 - 3*w^2 + 3*w + 9]', '[5675, 1135, 2*w^3 - 3*w^2 + 6]', '[5675, 1135, 4*w^3 - 9*w^2 - 14*w + 2]', '[5677, 5677, -7*w^3 + 12*w^2 + 26*w - 4]', '[5677, 5677, -4*w^3 + 3*w^2 + 19*w + 1]', '[5677, 5677, -13*w^3 + 17*w^2 + 56*w - 4]', '[5677, 5677, -4*w^3 + 3*w^2 + 22*w]', '[5677, 5677, -w^3 + 2*w^2 + 8*w - 8]', '[5677, 5677, -5*w^3 + 9*w^2 + 8*w + 2]', '[5677, 5677, 19*w^3 - 29*w^2 - 77*w + 23]', '[5677, 5677, -2*w^3 + w^2 + 7*w + 10]', '[5683, 5683, 5*w^3 - 5*w^2 - 23*w + 1]', '[5683, 5683, 2*w^3 - 2*w^2 - 5*w - 8]', '[5689, 5689, 5*w^3 - 5*w^2 - 25*w + 2]', '[5689, 5689, -2*w^3 + 5*w^2 + 2*w - 13]', '[5689, 5689, 5*w - 7]', '[5689, 5689, 5*w^3 - 8*w^2 - 20*w - 5]', '[5693, 5693, -2*w^3 + 7*w^2 + 3*w - 12]', '[5693, 5693, -2*w^3 + 7*w^2 + 3*w - 9]', '[5717, 5717, w^2 + 3*w - 8]', '[5717, 5717, 4*w^3 - 3*w^2 - 21*w - 1]', '[5737, 5737, -6*w^3 + 12*w^2 + 16*w - 11]', '[5737, 5737, -8*w^3 + 14*w^2 + 28*w - 5]', '[5743, 5743, -2*w^3 + 5*w^2 + 2*w - 12]', '[5743, 5743, 5*w^3 - 8*w^2 - 20*w - 4]', '[5747, 5747, 7*w^3 - 11*w^2 - 32*w + 8]', '[5747, 5747, 2*w^3 - 7*w^2 - w - 2]', '[5747, 5747, 4*w^3 - 9*w^2 - 13*w + 21]', '[5747, 5747, 8*w^3 - 16*w^2 - 30*w + 19]', '[5747, 5747, -w^3 - 3*w^2 + 16*w + 6]', '[5747, 5747, -5*w^3 + 7*w^2 + 15*w - 1]', '[5747, 5747, -8*w^3 + 10*w^2 + 33*w + 4]', '[5747, 5747, 2*w^3 - 10*w^2 + 6*w + 11]', '[5755, 5755, 4*w^3 - 2*w^2 - 25*w - 2]', '[5755, 5755, -9*w^3 + 12*w^2 + 40*w - 8]', '[5755, 5755, -4*w^3 + 9*w^2 + 10*w - 15]', '[5755, 5755, w^3 - 6*w^2 + 5*w + 15]', '[5765, 5765, 10*w^3 - 13*w^2 - 46*w + 4]', '[5765, 5765, -w^2 + 4*w - 8]', '[5776, 38, 6*w^3 - 6*w^2 - 26*w - 18]', '[5776, 38, 4*w^3 - 4*w^2 - 14*w + 8]', '[5777, 5777, 2*w^3 - 17*w - 6]', '[5777, 5777, 5*w^3 - 7*w^2 - 25*w + 1]', '[5777, 5777, -w^3 + 4*w^2 - 3*w - 11]', '[5777, 5777, 8*w^3 - 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11]', '[9487, 9487, -10*w^3 + 15*w^2 + 38*w - 6]', '[9487, 9487, -7*w^3 + 12*w^2 + 20*w - 2]', '[9487, 9487, -2*w^3 + 2*w^2 + 10*w - 9]', '[9487, 9487, 2*w^3 - 5*w^2 - 3*w - 6]', '[9487, 9487, 8*w^3 - 11*w^2 - 38*w - 5]', '[9488, 1186, -2*w^3 + 6*w^2 + 4*w - 20]', '[9488, 1186, -10*w^3 + 14*w^2 + 38*w - 8]', '[9511, 9511, 5*w^2 - 5*w - 13]', '[9511, 9511, 10*w^3 - 15*w^2 - 38*w + 5]', '[9511, 9511, 5*w^2 - 5*w - 12]', '[9511, 9511, -3*w^3 + 10*w^2 + 3*w - 17]', '[9521, 9521, 7*w^3 - 9*w^2 - 34*w]', '[9521, 9521, w^3 + w^2 - 14*w - 4]', '[9521, 9521, -7*w^3 + 10*w^2 + 25*w]', '[9521, 9521, 7*w^3 - 10*w^2 - 25*w + 1]', '[9535, 9535, -5*w^3 + 11*w^2 + 11*w - 12]', '[9535, 9535, -5*w^3 + 13*w^2 + 11*w - 24]', '[9545, 9545, -w^3 + 8*w^2 - 15*w - 12]', '[9545, 9545, 3*w^3 - 3*w^2 - 20*w - 5]', '[9545, 9545, 5*w^3 - 5*w^2 - 28*w - 7]', '[9545, 9545, 13*w^3 - 20*w^2 - 57*w + 9]', '[9547, 9547, -w^3 - 5*w^2 + 12*w + 12]', '[9547, 9547, -9*w^3 + 12*w^2 + 38*w - 10]', '[9565, 9565, 6*w^3 - 6*w^2 - 32*w - 3]', '[9565, 9565, -w^3 + 3*w^2 + 3*w - 15]', '[9569, 9569, 4*w^3 - 11*w^2 - 7*w + 20]', '[9569, 9569, -10*w^3 + 20*w^2 + 25*w + 1]', '[9569, 9569, -15*w^3 + 25*w^2 + 55*w - 26]', '[9569, 9569, 6*w^3 - 13*w^2 - 19*w + 5]', '[9575, 1915, 4*w^3 - 7*w^2 - 22*w + 4]', '[9575, 1915, 2*w^3 - w^2 - 4*w + 8]', '[9575, 1915, w^3 + w^2 - 15*w - 7]', '[9575, 1915, -3*w^3 + 7*w^2 + 7*w + 5]', '[9623, 9623, -w^3 - 3*w^2 + 14*w + 16]', '[9623, 9623, 5*w^3 - 9*w^2 - 22*w]', '[9629, 9629, 9*w^3 - 12*w^2 - 35*w + 4]', '[9629, 9629, 7*w^3 - 9*w^2 - 34*w + 2]', '[9629, 9629, -w^3 - w^2 + 14*w + 2]', '[9629, 9629, -7*w^3 + 10*w^2 + 23*w + 5]', '[9653, 1379, -11*w^3 + 18*w^2 + 45*w - 10]', '[9653, 1379, 7*w^3 - 8*w^2 - 27*w - 8]', '[9653, 1379, -4*w^3 + 7*w^2 + 21*w - 11]', '[9653, 1379, 3*w^3 - 10*w^2 + 3*w + 11]', '[9653, 9653, -7*w^3 + 13*w^2 + 20*w - 12]', '[9653, 9653, 4*w^3 - w^2 - 28*w - 13]', '[9653, 9653, -9*w^3 + 15*w^2 + 29*w - 14]', '[9653, 9653, 3*w^3 - 2*w^2 - 21*w - 7]', '[9677, 9677, 5*w^3 - 7*w^2 - 26*w]', '[9677, 9677, -3*w^3 + w^2 + 22*w + 8]', '[9680, 110, -6*w^3 + 14*w^2 + 16*w - 24]', '[9680, 110, 12*w^3 - 16*w^2 - 50*w - 6]', '[9685, 9685, 5*w^3 - 4*w^2 - 24*w - 2]', '[9685, 9685, 6*w^3 - 11*w^2 - 23*w + 3]', '[9685, 9685, 2*w^3 - 6*w^2 - 11*w + 10]', '[9685, 9685, 4*w^3 - 7*w^2 - 7*w - 5]', '[9685, 9685, 5*w^3 - w^2 - 31*w - 13]', '[9685, 9685, -2*w^3 + w^2 + 6*w + 10]', '[9685, 9685, -10*w^3 + 13*w^2 + 43*w - 6]', '[9685, 9685, 2*w^3 - 7*w^2 + w + 14]', '[9695, 9695, -18*w^3 + 29*w^2 + 75*w - 26]', '[9695, 9695, -4*w^3 + 15*w^2 - 9*w - 7]', '[9695, 9695, -4*w^3 + 4*w^2 + 25*w - 5]', '[9695, 9695, 5*w^3 - 5*w^2 - 29*w + 4]', '[9737, 9737, -5*w^2 + 4*w + 12]', '[9737, 9737, -2*w^3 - w^2 + 20*w + 10]', '[9737, 9737, -2*w^3 + 2*w^2 + 11*w + 12]', '[9737, 9737, -8*w^3 + 10*w^2 + 29*w + 10]', '[9737, 9737, -9*w^3 + 11*w^2 + 35*w - 3]', '[9737, 9737, -w^3 + w^2 + 7*w + 11]', '[9737, 9737, -7*w^3 + 10*w^2 + 34*w]', '[9737, 9737, -w^3 - 4*w^2 + 10*w + 14]', '[9739, 9739, 6*w^3 - 8*w^2 - 20*w + 1]', '[9739, 9739, -8*w^3 + 11*w^2 + 30*w + 4]', '[9739, 9739, -2*w^3 + 8*w^2 + 3*w - 8]', '[9739, 9739, -7*w^3 + 10*w^2 + 24*w - 4]', '[9743, 9743, -w^3 + 4*w^2 + 5*w - 12]', '[9743, 9743, -3*w^3 + 19*w + 5]', '[9767, 9767, -2*w^3 + 6*w^2 - 3*w - 9]', '[9767, 9767, -9*w^3 + 13*w^2 + 39*w]', '[9793, 9793, -14*w^3 + 20*w^2 + 59*w - 4]', '[9793, 9793, -2*w^3 + 9*w^2 - 7*w - 13]', '[9793, 9793, 5*w^3 - 11*w^2 - 5*w + 7]', '[9793, 9793, -7*w^3 + 11*w^2 + 27*w + 2]', '[9793, 9793, 11*w^3 - 15*w^2 - 47*w - 2]', '[9793, 9793, -8*w^3 + 14*w^2 + 32*w - 7]', '[9793, 9793, 2*w^3 - 8*w^2 + 4*w + 13]', '[9793, 9793, 10*w^3 - 20*w^2 - 33*w + 31]', '[9801, 33, 9*w^3 - 12*w^2 - 36*w]', '[9801, 33, 6*w^2 - 9*w - 18]', '[9803, 9803, 8*w^3 - 9*w^2 - 33*w - 4]', '[9803, 9803, 6*w^3 - 7*w^2 - 21*w - 5]', '[9808, 1226, 6*w^3 - 10*w^2 - 24*w - 8]', '[9808, 1226, -2*w^3 + 6*w^2 - 20]', '[9811, 9811, -4*w^3 + 10*w^2 + 7*w - 14]', '[9811, 9811, -9*w^3 + 15*w^2 + 30*w - 5]', '[9811, 9811, 9*w^3 - 15*w^2 - 30*w + 7]', '[9811, 9811, -7*w^3 + 13*w^2 + 25*w - 5]', '[9835, 9835, -14*w^3 + 21*w^2 + 61*w - 18]', '[9835, 9835, -5*w^3 + 7*w^2 + 27*w - 14]', '[9835, 9835, -w^3 + 3*w^2 - 4*w + 12]', '[9835, 9835, -13*w^3 + 21*w^2 + 53*w - 26]', '[9835, 9835, 4*w^3 - 2*w^2 - 27*w + 5]', '[9835, 9835, -19*w^3 + 29*w^2 + 78*w - 28]', '[9835, 9835, 3*w^3 + w^2 - 27*w - 2]', '[9835, 9835, -7*w^3 + 17*w^2 + 6*w + 4]', '[9865, 9865, -w^3 + 3*w^2 + 6*w - 13]', '[9865, 9865, w^3 - 4*w^2 - 4*w + 17]', '[9883, 9883, 3*w^3 - 4*w^2 - 7*w - 8]', '[9883, 9883, 7*w^3 - 8*w^2 - 31*w + 3]', '[9905, 9905, -5*w^3 + 10*w^2 + 23*w - 13]', '[9905, 9905, -2*w^3 + 3*w^2 + 2*w + 7]', '[9905, 9905, 7*w^3 - 8*w^2 - 32*w + 3]', '[9905, 9905, -3*w^3 - 2*w^2 + 25*w + 10]', '[9913, 9913, -14*w^3 + 23*w^2 + 50*w - 22]', '[9913, 9913, -14*w^3 + 22*w^2 + 55*w - 10]', '[9913, 9913, -w^3 + 10*w^2 - 14*w - 11]', '[9913, 9913, -10*w^3 + 19*w^2 + 40*w - 23]', '[9913, 9913, -7*w^3 + 15*w^2 + 13*w - 9]', '[9913, 9913, -11*w^3 + 20*w^2 + 32*w + 2]', '[9913, 9913, 5*w^3 - 4*w^2 - 25*w - 2]', '[9913, 9913, w^3 - w - 9]', '[9919, 9919, -7*w^3 + 7*w^2 + 27*w + 10]', '[9919, 9919, 3*w^3 - 10*w - 10]', '[9919, 9919, -w^3 + w^2 + 9*w + 12]', '[9919, 9919, -3*w^3 + 4*w^2 + 19*w - 2]', '[9919, 9919, 5*w^3 - 10*w^2 - 26*w]', '[9919, 9919, -4*w^3 + 4*w^2 + 21*w + 15]', '[9919, 9919, 9*w^3 - 18*w^2 - 35*w + 18]', '[9919, 9919, -8*w^3 + 8*w^2 + 33*w + 5]', '[9919, 9919, -w^3 + w^2 - 5*w - 9]', '[9919, 9919, -4*w^3 + w^2 + 29*w + 15]', '[9919, 9919, -7*w^3 + 10*w^2 + 23*w - 5]', '[9919, 9919, 7*w^3 - 5*w^2 - 25*w + 1]', '[9919, 9919, -2*w^3 - 3*w^2 + 13*w + 14]', '[9919, 9919, -2*w^3 - 3*w^2 + 13*w + 15]', '[9919, 9919, 11*w^3 - 16*w^2 - 41*w + 19]', '[9919, 9919, -6*w^3 + 9*w^2 + 31*w + 2]', '[9923, 9923, -3*w^3 + 7*w^2 + 14*w - 12]', '[9923, 9923, -3*w^3 - w^2 + 22*w + 8]', '[9925, 1985, 8*w^3 - 13*w^2 - 33*w + 4]', '[9925, 1985, 2*w^3 - 5*w^2 - w + 14]', '[9925, 1985, -6*w^3 + 9*w^2 + 25*w + 7]', '[9925, 1985, -2*w^3 + 7*w^2 - 3*w - 11]', '[9931, 9931, 8*w^3 - 10*w^2 - 33*w + 9]', '[9931, 9931, -8*w^3 + 17*w^2 + 27*w - 13]', '[9931, 9931, -4*w^3 + 13*w^2 + 3*w - 20]', '[9931, 9931, 9*w^3 - 10*w^2 - 45*w - 10]', '[9967, 9967, -4*w^3 + 5*w^2 + 23*w + 3]', '[9967, 9967, -4*w^3 + 3*w^2 + 25*w + 8]', '[9983, 9983, 6*w^2 - 8*w - 11]', '[9983, 9983, -2*w^3 + 5*w^2 + 9*w - 15]', '[9983, 9983, -2*w^3 + 8*w^2 + 4*w - 17]', '[9983, 9983, -9*w^3 + 17*w^2 + 30*w - 22]', '[9983, 9983, 11*w^3 - 12*w^2 - 48*w - 7]', '[9983, 9983, -5*w^3 + 13*w^2 + 10*w - 21]', '[9983, 9983, 8*w^3 - 8*w^2 - 41*w - 10]', '[9983, 9983, -2*w^3 - w^2 + 15*w]', '[9985, 9985, -3*w^3 + 8*w^2 + 4*w - 14]', '[9985, 9985, -2*w^3 + 8*w^2 - w - 20]', '[9989, 9989, 13*w^3 - 20*w^2 - 56*w + 16]', '[9989, 9989, 7*w^3 - 12*w^2 - 28*w + 20]', '[9989, 9989, 2*w^3 - 7*w^2 + 2*w - 4]', '[9989, 9989, 2*w^3 - 9*w^2 + 10*w + 4]', '[10000, 10, 10]', '[10000, 50, 4*w^3 - 4*w^2 - 24*w - 6]', '[10000, 50, 4*w^3 - 4*w^2 - 24*w + 2]'], 'label': '4.4.4205.1', 'narrow_class_no': 1, 'primes': ['[5, 5, -w^3 + w^2 + 5*w]', '[7, 7, -w^3 + 2*w^2 + 3*w - 3]', '[7, 7, w^3 - 2*w^2 - 3*w]', '[13, 13, -w^2 + w + 3]', '[13, 13, -w^2 + w + 2]', '[16, 2, 2]', '[23, 23, -w^2 + 3*w + 1]', '[23, 23, -2*w^3 + 3*w^2 + 9*w - 2]', '[25, 5, w^3 - 2*w^2 - 2*w + 2]', '[49, 7, w^3 - w^2 - 6*w - 1]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 3]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 1]', '[67, 67, 2*w^3 - 4*w^2 - 7*w + 2]', '[67, 67, -2*w^3 + 4*w^2 + 6*w - 1]', '[81, 3, -3]', '[83, 83, 2*w^3 - 3*w^2 - 6*w - 1]', '[83, 83, 3*w^3 - 4*w^2 - 12*w + 1]', '[103, 103, 3*w^3 - 4*w^2 - 12*w - 1]', '[103, 103, 2*w^3 - 3*w^2 - 6*w + 1]', '[107, 107, w^3 - w^2 - 3*w - 3]', '[107, 107, 2*w^3 - 2*w^2 - 9*w]', '[109, 109, -3*w^3 + 5*w^2 + 10*w - 5]', '[109, 109, -2*w^3 + 3*w^2 + 9*w + 1]', '[109, 109, -2*w^3 + 2*w^2 + 7*w]', '[109, 109, w^2 - 3*w - 4]', '[121, 11, 3*w^3 - 4*w^2 - 12*w]', '[121, 11, 2*w^2 - 3*w - 6]', '[139, 139, w^3 - 7*w - 1]', '[139, 139, -w^3 + 2*w^2 + 5*w - 4]', '[139, 139, 3*w^3 - 3*w^2 - 14*w - 2]', '[139, 139, -3*w^3 + 5*w^2 + 13*w - 2]', '[149, 149, -w^2 + 4*w + 1]', '[149, 149, -3*w^3 + 4*w^2 + 14*w - 1]', '[149, 149, 2*w^2 - 3*w - 5]', '[149, 149, -w^3 + 3*w^2 + 3*w - 4]', '[167, 167, -w^3 - w^2 + 7*w + 4]', '[167, 167, -4*w^3 + 6*w^2 + 15*w - 4]', '[169, 13, w^3 - w^2 - 6*w + 4]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, 2*w^3 - 2*w^2 - 11*w]', '[179, 179, 2*w^3 - 2*w^2 - 9*w + 1]', '[179, 179, w^3 - w^2 - 3*w - 4]', '[179, 179, w^2 - 5]', '[179, 179, w^3 - 6*w - 1]', '[197, 197, w^3 + w^2 - 7*w - 6]', '[197, 197, 2*w^3 - 2*w^2 - 9*w + 2]', '[223, 223, -w^2 + 7]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 2*w^3 - 2*w^2 - 11*w - 2]', '[227, 227, w^3 - w^2 - 7*w - 1]', '[233, 233, w^3 - w^2 - 7*w]', '[233, 233, -2*w^3 + 2*w^2 + 11*w + 1]', '[257, 257, -2*w^3 + 4*w^2 + 8*w - 1]', '[257, 257, 2*w^2 - 4*w - 7]', '[277, 277, -4*w^3 + 6*w^2 + 15*w - 3]', '[277, 277, -3*w^3 + 5*w^2 + 9*w]', '[281, 281, -2*w^3 + 5*w^2 + 3*w - 5]', '[281, 281, -2*w^3 + 5*w^2 + 5*w - 7]', '[281, 281, 2*w^3 - 5*w^2 - 5*w + 4]', '[281, 281, -4*w^3 + 7*w^2 + 15*w - 4]', '[283, 283, 3*w^3 - 4*w^2 - 13*w - 3]', '[283, 283, -w^3 + 2*w^2 + w - 4]', '[313, 313, -2*w^3 + 4*w^2 + 5*w - 5]', '[313, 313, 3*w^3 - 5*w^2 - 11*w]', '[347, 347, -w^3 + 2*w^2 + w - 5]', '[347, 347, 3*w^3 - 4*w^2 - 13*w - 4]', '[353, 353, 3*w^3 - 5*w^2 - 12*w + 1]', '[353, 353, -w^3 + 3*w^2 - 5]', '[361, 19, 3*w^3 - 3*w^2 - 13*w - 9]', '[361, 19, 2*w^3 - 2*w^2 - 7*w + 4]', '[373, 373, -3*w^3 + 4*w^2 + 11*w + 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w]', '[383, 383, 3*w^3 - 5*w^2 - 13*w + 1]', '[383, 383, 2*w^2 - 5*w - 6]', '[397, 397, 4*w^3 - 5*w^2 - 19*w - 1]', '[397, 397, 2*w^3 - 2*w^2 - 9*w - 7]', '[431, 431, 2*w^3 - 2*w^2 - 7*w - 5]', '[431, 431, 3*w^3 - 6*w^2 - 11*w + 3]', '[431, 431, 3*w^3 - 3*w^2 - 13*w]', '[431, 431, w^3 - 4*w^2 + w + 8]', '[457, 457, 4*w^3 - 7*w^2 - 13*w]', '[457, 457, -3*w^2 + 4*w + 5]', '[463, 463, -3*w^3 + 5*w^2 + 11*w + 1]', '[463, 463, 2*w^3 - 4*w^2 - 5*w + 6]', '[487, 487, -w^3 + 4*w^2 - 7]', '[487, 487, -2*w^3 + 5*w^2 + 6*w - 5]', '[499, 499, -6*w^3 + 8*w^2 + 25*w - 1]', '[499, 499, -w^3 + 4*w^2 - 5]', '[499, 499, -2*w^3 + 5*w^2 + 6*w - 7]', '[499, 499, 3*w^3 - 5*w^2 - 7*w]', '[509, 509, -4*w^3 + 8*w^2 + 15*w - 8]', '[509, 509, 3*w^3 - 4*w^2 - 10*w - 2]', '[509, 509, -3*w^3 + 3*w^2 + 11*w + 6]', '[509, 509, 4*w^3 - 5*w^2 - 16*w]', '[521, 521, -4*w^3 + 5*w^2 + 15*w - 2]', '[521, 521, w^3 - w^2 - 8*w + 1]', '[521, 521, -4*w^3 + 7*w^2 + 12*w - 6]', '[521, 521, 3*w^3 - 3*w^2 - 16*w - 1]', '[523, 523, 3*w^3 - w^2 - 17*w - 8]', '[523, 523, -5*w^3 + 5*w^2 + 23*w + 4]', '[529, 23, 3*w^3 - 6*w^2 - 10*w + 2]', '[547, 547, -2*w^3 + 5*w^2 + 6*w - 6]', '[547, 547, -w^3 + 4*w^2 - 6]', '[557, 557, -3*w^3 + 6*w^2 + 9*w - 10]', '[557, 557, 3*w^3 - 6*w^2 - 9*w - 1]', '[571, 571, 4*w^3 - 4*w^2 - 17*w - 6]', '[571, 571, -2*w^3 + 6*w^2 + 3*w - 10]', '[571, 571, 4*w^3 - 5*w^2 - 18*w + 3]', '[571, 571, -3*w^3 + 7*w^2 + 9*w - 5]', '[587, 587, 3*w^3 - 3*w^2 - 14*w]', '[587, 587, w^3 - w^2 - 2*w - 4]', '[593, 593, -w^3 + 3*w^2 + 2*w - 10]', '[593, 593, -5*w^3 + 7*w^2 + 19*w - 4]', '[613, 613, 3*w^3 - 5*w^2 - 12*w - 4]', '[613, 613, -w^3 + 3*w^2 - 10]', '[631, 631, 4*w^3 - 8*w^2 - 13*w + 4]', '[631, 631, 3*w^3 - 4*w^2 - 15*w + 2]', '[631, 631, w^3 - 9*w - 1]', '[631, 631, 3*w^3 - 7*w^2 - 7*w + 9]', '[643, 643, 3*w^3 - 3*w^2 - 16*w - 2]', '[643, 643, w^3 - w^2 - 8*w]', '[647, 647, -w^3 + 4*w^2 + 2*w - 4]', '[647, 647, -3*w^2 + 4*w + 10]', '[673, 673, w^3 + 2*w^2 - 9*w - 8]', '[673, 673, -w^3 + 4*w^2 + 3*w - 7]', '[683, 683, 3*w^3 - 3*w^2 - 11*w - 2]', '[683, 683, 4*w^3 - 4*w^2 - 17*w - 5]', '[709, 709, -5*w^3 + 7*w^2 + 21*w + 1]', '[709, 709, -3*w^3 + 2*w^2 + 16*w + 4]', '[709, 709, 4*w^3 - 4*w^2 - 19*w - 2]', '[709, 709, -2*w^3 + 4*w^2 + 3*w - 4]', '[787, 787, 2*w^2 - w - 9]', '[787, 787, w^3 + w^2 - 7*w - 2]', '[811, 811, 4*w^3 - 7*w^2 - 11*w]', '[811, 811, 3*w^3 - 4*w^2 - 9*w - 1]', '[811, 811, -6*w^3 + 9*w^2 + 23*w - 5]', '[811, 811, 5*w^3 - 6*w^2 - 21*w - 2]', '[821, 821, -3*w^3 + 6*w^2 + 11*w - 2]', '[821, 821, 2*w^3 - 13*w - 5]', '[821, 821, -w^3 + 4*w^2 - w - 9]', '[821, 821, -w^3 + 3*w^2 + 5*w - 6]', '[841, 29, 2*w^3 - 2*w^2 - 12*w - 1]', '[857, 857, w^3 - 4*w^2 + 3*w + 6]', '[857, 857, -5*w^3 + 8*w^2 + 21*w - 3]', '[863, 863, -w^3 + 4*w^2 + w - 7]', '[863, 863, -w^3 + 4*w^2 + w - 6]', '[877, 877, -w^3 - w^2 + 8*w + 2]', '[877, 877, -w^3 + 3*w^2 + 4*w - 8]', '[883, 883, 4*w^3 - 7*w^2 - 14*w + 1]', '[883, 883, 3*w^3 - 6*w^2 - 8*w + 7]', '[929, 929, 3*w^3 - 5*w^2 - 12*w - 3]', '[929, 929, -w^3 + 3*w^2 - 9]', '[929, 929, 3*w - 5]', '[929, 929, 3*w^3 - 3*w^2 - 15*w + 2]', '[937, 937, w^3 - 2*w^2 - 6*w + 6]', '[937, 937, 2*w^3 - w^2 - 12*w]', '[941, 941, -w^3 + 4*w^2 + 2*w - 7]', '[941, 941, -4*w^3 + 6*w^2 + 13*w - 3]', '[941, 941, -5*w^3 + 7*w^2 + 19*w + 2]', '[941, 941, 3*w^2 - 4*w - 7]', '[953, 953, 3*w^3 - 5*w^2 - 12*w - 2]', '[953, 953, -w^3 + 3*w^2 - 8]', '[961, 31, 4*w^3 - 6*w^2 - 13*w - 2]', '[961, 31, 5*w^3 - 7*w^2 - 19*w + 3]', '[977, 977, -4*w^3 + 7*w^2 + 19*w - 6]', '[977, 977, -3*w^3 + 7*w^2 + 10*w - 6]']}
• 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, -5, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 4205, 'disc_rad': 145, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[4, 1]]], [5, [0]], [7, [[2, 1], [1, 2]]], [11, [[2, 2]]], [13, [[2, 1], [1, 2]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [0]], [31, [[2, 2]]], [37, [[4, 1]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[2, 1], [1, 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': False, 'iso_number': 1, 'label': '4.4.4205.1', 'local_algs': ['5.2.0.1', '5.2.1.2', '29.4.2.1'], 'minimal_sibling': [1, 1, -3, -1, 1], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 29], 'rd': 8.05269963102, 'regulator': {'__RealLiteral__': 0, 'data': '2.8242845114', 'prec': 40}, 'res': {'gal': ['-1,11,-5,-36,17,26,-12,-2,1'], 'sib': ['1,1,-3,-1,1', '-1,11,-5,-36,17,26,-12,-2,1']}, 'subfield_mults': [1], 'subfields': ['-7.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} - 2 a^{2} - 3 a + 2 \\)', '\\( a^{2} - 2 a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}