Hilbert modular form data - 4.4.17417.1-16.2-c

Formats: - HTML - YAML - JSON - 2024-06-09T03:43:11.409601

• 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': 7, 'disc': 17417, 'field_bad_primes': [17417], 'field_label': '4.4.17417.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.17417.1-16.2-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [2], 'level_ideal': '[16, 16, w^3 - 2*w^2 - 4*w]', 'level_label': '16.2', 'level_norm': 16, 'parallel_weight': 2, 'short_label': '16.2-c', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w^3 - 3*w^2 - w + 2]', 1]], 'hecke_eigenvalues': [0, '1/16*e^6 - 1/8*e^5 - 23/16*e^4 + 17/8*e^3 + 125/16*e^2 - 39/8*e - 8', 'e', '1/16*e^6 - 1/8*e^5 - 21/16*e^4 + 2*e^3 + 99/16*e^2 - 25/8*e - 8', '-1/16*e^6 + 1/4*e^5 + 15/16*e^4 - 31/8*e^3 + 5/16*e^2 + 25/8*e - 4', '1/4*e^4 - 1/4*e^3 - 17/4*e^2 + 7/2*e + 8', '-1/16*e^6 + 1/4*e^5 + 17/16*e^4 - 9/2*e^3 - 29/16*e^2 + 83/8*e', '-1/8*e^6 + 1/2*e^5 + 2*e^4 - 67/8*e^3 - 3/2*e^2 + 27/2*e', '1/8*e^6 - 1/2*e^5 - 2*e^4 + 67/8*e^3 + 3/2*e^2 - 31/2*e + 4', '1/8*e^5 - 3/8*e^4 - 19/8*e^3 + 6*e^2 + 11/2*e - 4', '-1/8*e^6 + 3/8*e^5 + 2*e^4 - 49/8*e^3 - 9/8*e^2 + 33/4*e - 4', '-1/8*e^5 + 3/8*e^4 + 19/8*e^3 - 6*e^2 - 19/2*e + 8', '1/2*e^3 - 1/2*e^2 - 9/2*e + 5', '1/4*e^6 - 3/4*e^5 - 9/2*e^4 + 49/4*e^3 + 45/4*e^2 - 17*e - 9', '-1/8*e^6 + 1/4*e^5 + 23/8*e^4 - 17/4*e^3 - 125/8*e^2 + 31/4*e + 16', '-1/4*e^4 - 1/4*e^3 + 15/4*e^2 + 5*e - 3', '-1/8*e^6 + 1/2*e^5 + 17/8*e^4 - 9*e^3 - 29/8*e^2 + 91/4*e + 4', '1/2*e^4 - 1/2*e^3 - 17/2*e^2 + 7*e + 12', '-1/4*e^6 + 3/4*e^5 + 9/2*e^4 - 49/4*e^3 - 41/4*e^2 + 17*e + 3', '-1/2*e^4 + 1/2*e^3 + 17/2*e^2 - 5*e - 20', '-1/4*e^6 + 1/2*e^5 + 11/2*e^4 - 33/4*e^3 - 28*e^2 + 13*e + 34', '-1/4*e^5 + e^4 + 4*e^3 - 71/4*e^2 - 3*e + 31', '-1/8*e^6 + 3/4*e^5 + 9/8*e^4 - 25/2*e^3 + 101/8*e^2 + 85/4*e - 20', '1/4*e^6 - 3/4*e^5 - 19/4*e^4 + 25/2*e^3 + 33/2*e^2 - 43/2*e - 15', '1/4*e^6 - 3/4*e^5 - 21/4*e^4 + 25/2*e^3 + 47/2*e^2 - 20*e - 28', '1/4*e^6 - e^5 - 17/4*e^4 + 17*e^3 + 29/4*e^2 - 61/2*e', '-1/4*e^5 + 3/4*e^4 + 17/4*e^3 - 23/2*e^2 - 13/2*e + 11', '-1/8*e^6 + 1/4*e^5 + 11/4*e^4 - 29/8*e^3 - 27/2*e^2 + 5/2*e + 20', '5/16*e^6 - e^5 - 93/16*e^4 + 33/2*e^3 + 301/16*e^2 - 211/8*e - 20', '1/4*e^5 - 5/4*e^4 - 17/4*e^3 + 39/2*e^2 + 10*e - 26', '1/2*e^6 - 3/2*e^5 - 19/2*e^4 + 25*e^3 + 30*e^2 - 45*e - 20', '5/16*e^6 - e^5 - 93/16*e^4 + 33/2*e^3 + 301/16*e^2 - 211/8*e - 28', '1/4*e^5 - 1/2*e^4 - 5*e^3 + 35/4*e^2 + 29/2*e - 14', '3/8*e^6 - e^5 - 61/8*e^4 + 65/4*e^3 + 261/8*e^2 - 103/4*e - 40', '-1/4*e^6 + 1/2*e^5 + 11/2*e^4 - 35/4*e^3 - 55/2*e^2 + 41/2*e + 33', '1/4*e^5 - e^4 - 9/2*e^3 + 69/4*e^2 + 17/2*e - 22', '-3/8*e^5 + 11/8*e^4 + 47/8*e^3 - 89/4*e^2 - 6*e + 36', '1/4*e^6 - 3/4*e^5 - 9/2*e^4 + 51/4*e^3 + 43/4*e^2 - 47/2*e', '-1/2*e^5 + 3/2*e^4 + 17/2*e^3 - 25*e^2 - 12*e + 34', '1/8*e^5 - 1/8*e^4 - 13/8*e^3 + 7/4*e^2 - 8*e + 8', '-1/4*e^6 + 1/2*e^5 + 23/4*e^4 - 17/2*e^3 - 125/4*e^2 + 39/2*e + 38', '-1/16*e^6 + 1/2*e^5 + 9/16*e^4 - 17/2*e^3 + 95/16*e^2 + 127/8*e - 16', '-9/16*e^6 + 7/4*e^5 + 169/16*e^4 - 57/2*e^3 - 541/16*e^2 + 339/8*e + 36', '1/8*e^6 + 1/4*e^5 - 33/8*e^4 - 9/2*e^3 + 283/8*e^2 + 27/4*e - 36', '-1/8*e^6 + 1/2*e^5 + 2*e^4 - 67/8*e^3 - 7/2*e^2 + 27/2*e + 20', '-3/16*e^6 + 3/4*e^5 + 35/16*e^4 - 23/2*e^3 + 201/16*e^2 + 49/8*e - 28', '1/4*e^5 - 3/4*e^4 - 17/4*e^3 + 21/2*e^2 + 13/2*e - 5', '-1/4*e^6 + 1/2*e^5 + 6*e^4 - 35/4*e^3 - 73/2*e^2 + 21*e + 54', '-7/16*e^6 + 3/2*e^5 + 111/16*e^4 - 49/2*e^3 - 87/16*e^2 + 313/8*e - 4', '-1/2*e^6 + 2*e^5 + 33/4*e^4 - 131/4*e^3 - 45/4*e^2 + 97/2*e + 2', '1/4*e^6 - 3/4*e^5 - 9/2*e^4 + 51/4*e^3 + 43/4*e^2 - 55/2*e', '5/16*e^6 - 5/4*e^5 - 81/16*e^4 + 85/4*e^3 + 109/16*e^2 - 347/8*e - 8', '1/2*e^6 - 5/4*e^5 - 41/4*e^4 + 83/4*e^3 + 85/2*e^2 - 67/2*e - 49', '-1/2*e^4 + 1/2*e^3 + 19/2*e^2 - 7*e - 18', '-1/4*e^6 + e^5 + 15/4*e^4 - 17*e^3 + 3/4*e^2 + 35*e - 7', '1/16*e^6 - 1/4*e^5 - 17/16*e^4 + 7/2*e^3 + 77/16*e^2 + 37/8*e - 24', '-1/4*e^6 + 3/2*e^5 + 3*e^4 - 101/4*e^3 + 12*e^2 + 89/2*e - 15', '-1/4*e^6 + 1/2*e^5 + 23/4*e^4 - 19/2*e^3 - 129/4*e^2 + 61/2*e + 38', '3/4*e^4 - 3/4*e^3 - 47/4*e^2 + 13/2*e + 22', '1/2*e^3 + 3/2*e^2 - 9/2*e - 17', '-1/16*e^6 + 27/16*e^4 + 7/8*e^3 - 219/16*e^2 - 47/8*e + 36', '1/4*e^6 - 1/4*e^5 - 25/4*e^4 + 9/2*e^3 + 39*e^2 - 14*e - 44', '-1/8*e^6 + 1/4*e^5 + 23/8*e^4 - 17/4*e^3 - 125/8*e^2 + 39/4*e + 24', '-1/2*e^5 + 3/4*e^4 + 41/4*e^3 - 49/4*e^2 - 71/2*e + 14', '-3/4*e^6 + 9/4*e^5 + 14*e^4 - 147/4*e^3 - 163/4*e^2 + 115/2*e + 32', '-1/8*e^6 + 1/4*e^5 + 11/4*e^4 - 29/8*e^3 - 31/2*e^2 - 7/2*e + 36', '-1/4*e^6 + 3/4*e^5 + 39/8*e^4 - 101/8*e^3 - 137/8*e^2 + 101/4*e + 20', '-3/16*e^6 + 5/8*e^5 + 45/16*e^4 - 75/8*e^3 + 21/16*e^2 + 65/8*e - 8', '-1/4*e^5 + 3/4*e^4 + 19/4*e^3 - 12*e^2 - 15*e + 4', '1/2*e^6 - 3/2*e^5 - 19/2*e^4 + 24*e^3 + 32*e^2 - 32*e - 32', '1/4*e^6 - 3/4*e^5 - 23/4*e^4 + 14*e^3 + 31*e^2 - 40*e - 26', '-1/4*e^5 + e^4 + 9/2*e^3 - 61/4*e^2 - 27/2*e + 22', '-3/4*e^5 + 2*e^4 + 13*e^3 - 125/4*e^2 - 31*e + 39', '1/4*e^6 - 1/2*e^5 - 5*e^4 + 31/4*e^3 + 35/2*e^2 - 7*e - 6', '3/8*e^6 - e^5 - 15/2*e^4 + 141/8*e^3 + 57/2*e^2 - 77/2*e - 28', '-3/8*e^6 + 7/8*e^5 + 17/2*e^4 - 115/8*e^3 - 377/8*e^2 + 85/4*e + 72', '-3/16*e^6 + 1/4*e^5 + 73/16*e^4 - 27/8*e^3 - 469/16*e^2 - 1/8*e + 36', '-1/4*e^6 + 3/4*e^5 + 9/2*e^4 - 55/4*e^3 - 47/4*e^2 + 85/2*e - 2', '-1/16*e^6 + 27/16*e^4 + 7/8*e^3 - 219/16*e^2 - 63/8*e + 40', '1/4*e^6 - 5/4*e^5 - 13/4*e^4 + 41/2*e^3 - 10*e^2 - 28*e + 38', '-5/16*e^6 + 5/4*e^5 + 85/16*e^4 - 41/2*e^3 - 145/16*e^2 + 239/8*e + 20', '1/2*e^6 - 5/4*e^5 - 39/4*e^4 + 83/4*e^3 + 67/2*e^2 - 34*e - 32', '-1/8*e^6 + 1/2*e^5 + 21/8*e^4 - 19/2*e^3 - 97/8*e^2 + 103/4*e + 8', '-1/2*e^6 + 7/4*e^5 + 33/4*e^4 - 117/4*e^3 - 21/2*e^2 + 45*e + 14', '-1/4*e^5 + 1/2*e^4 + 9/2*e^3 - 25/4*e^2 - 10*e + 5', '-1/16*e^6 + 1/2*e^5 + 13/16*e^4 - 31/4*e^3 - 5/16*e^2 + 51/8*e + 8', '-1/4*e^6 + 1/2*e^5 + 11/2*e^4 - 29/4*e^3 - 29*e^2 - e + 44', '-3/16*e^6 + 1/2*e^5 + 63/16*e^4 - 35/4*e^3 - 311/16*e^2 + 129/8*e + 32', '-1/4*e^6 + 3/4*e^5 + 9/2*e^4 - 55/4*e^3 - 43/4*e^2 + 73/2*e + 8', '-1/4*e^6 + 5/4*e^5 + 21/8*e^4 - 163/8*e^3 + 157/8*e^2 + 95/4*e - 48', '-5/8*e^6 + 7/4*e^5 + 99/8*e^4 - 113/4*e^3 - 381/8*e^2 + 167/4*e + 60', '5/16*e^6 - e^5 - 93/16*e^4 + 33/2*e^3 + 237/16*e^2 - 179/8*e', '3/4*e^6 - 2*e^5 - 59/4*e^4 + 67/2*e^3 + 221/4*e^2 - 68*e - 53', '-1/8*e^6 + 3/4*e^5 + 5/8*e^4 - 12*e^3 + 153/8*e^2 + 65/4*e - 28', '1/4*e^6 - 5/8*e^5 - 41/8*e^4 + 77/8*e^3 + 23*e^2 - 17/2*e - 36', '-1/2*e^5 + 3/2*e^4 + 13/2*e^3 - 23*e^2 + 9*e + 32', '1/2*e^6 - 3/2*e^5 - 19/2*e^4 + 51/2*e^3 + 61/2*e^2 - 99/2*e - 11', '-3/16*e^6 + 3/4*e^5 + 35/16*e^4 - 23/2*e^3 + 201/16*e^2 + 81/8*e - 32', '1/4*e^6 - 5/4*e^5 - 9/4*e^4 + 20*e^3 - 47/2*e^2 - 55/2*e + 27', '-1/8*e^6 + 1/4*e^5 + 15/8*e^4 - 13/4*e^3 + 11/8*e^2 - 9/4*e - 4', '-3/8*e^6 + 5/4*e^5 + 47/8*e^4 - 20*e^3 - 13/8*e^2 + 91/4*e - 20', '3/4*e^6 - 5/2*e^5 - 53/4*e^4 + 41*e^3 + 125/4*e^2 - 60*e - 37', '1/16*e^6 - 3/8*e^5 - 11/16*e^4 + 39/8*e^3 - 67/16*e^2 + 65/8*e + 12', '-1/8*e^6 - 1/2*e^5 + 39/8*e^4 + 37/4*e^3 - 363/8*e^2 - 79/4*e + 52', '5/16*e^6 - 3/4*e^5 - 109/16*e^4 + 13*e^3 + 497/16*e^2 - 255/8*e - 16', '1/4*e^6 - 3/4*e^5 - 9/2*e^4 + 51/4*e^3 + 51/4*e^2 - 63/2*e - 20', '-3/8*e^6 + 5/4*e^5 + 55/8*e^4 - 21*e^3 - 149/8*e^2 + 147/4*e + 12', '1/2*e^6 - 5/4*e^5 - 41/4*e^4 + 77/4*e^3 + 46*e^2 - 19*e - 68', 'e^6 - 3*e^5 - 77/4*e^4 + 203/4*e^3 + 251/4*e^2 - 94*e - 41', '1/2*e^6 - 3/2*e^5 - 37/4*e^4 + 97/4*e^3 + 97/4*e^2 - 32*e - 17', '-1/4*e^6 + 1/2*e^5 + 11/2*e^4 - 37/4*e^3 - 29*e^2 + 31*e + 28', '-1/2*e^6 + 2*e^5 + 29/4*e^4 - 131/4*e^3 + 31/4*e^2 + 93/2*e - 38', '1/4*e^6 - 3/4*e^5 - 37/8*e^4 + 91/8*e^3 + 119/8*e^2 - 27/4*e - 32', '-1/2*e^6 + 3/2*e^5 + 19/2*e^4 - 26*e^3 - 31*e^2 + 60*e + 22', '1/4*e^6 - 1/2*e^5 - 13/2*e^4 + 33/4*e^3 + 46*e^2 - 17*e - 64', '-1/2*e^6 + e^5 + 45/4*e^4 - 63/4*e^3 - 241/4*e^2 + 41/2*e + 76', '-2*e^3 + 2*e^2 + 22*e - 22', '-3/4*e^6 + 9/4*e^5 + 55/4*e^4 - 37*e^3 - 41*e^2 + 119/2*e + 53', '-11/16*e^6 + 11/8*e^5 + 241/16*e^4 - 189/8*e^3 - 1203/16*e^2 + 449/8*e + 76', '1/2*e^6 - 3/4*e^5 - 12*e^4 + 25/2*e^3 + 283/4*e^2 - 33*e - 85', '1/16*e^6 - 1/4*e^5 - 9/16*e^4 + 4*e^3 - 107/16*e^2 - 59/8*e + 32', '-9/16*e^6 + 9/4*e^5 + 147/16*e^4 - 293/8*e^3 - 191/16*e^2 + 381/8*e + 4', '-5/8*e^6 + 9/8*e^5 + 59/4*e^4 - 151/8*e^3 - 673/8*e^2 + 181/4*e + 88', '5/16*e^6 - 11/8*e^5 - 83/16*e^4 + 193/8*e^3 + 85/16*e^2 - 431/8*e + 8', '-3/8*e^6 + 9/8*e^5 + 25/4*e^4 - 141/8*e^3 - 61/8*e^2 + 61/4*e - 4', '-1/4*e^6 + 3/4*e^5 + 9/2*e^4 - 49/4*e^3 - 37/4*e^2 + 25*e - 19', '1/16*e^6 - 1/4*e^5 - 25/16*e^4 + 3*e^3 + 165/16*e^2 + 85/8*e - 20', '13/16*e^6 - 3*e^5 - 219/16*e^4 + 395/8*e^3 + 363/16*e^2 - 585/8*e - 8', '1/4*e^6 - 3/2*e^5 - 2*e^4 + 99/4*e^3 - 61/2*e^2 - 34*e + 50', '-1/2*e^6 + 7/4*e^5 + 9*e^4 - 30*e^3 - 97/4*e^2 + 123/2*e + 28', '-3/8*e^6 + 1/2*e^5 + 75/8*e^4 - 8*e^3 - 471/8*e^2 + 41/4*e + 68', '1/16*e^6 - 1/4*e^5 - 1/16*e^4 + 9/2*e^3 - 227/16*e^2 - 91/8*e + 8', '1/8*e^6 - 9/2*e^4 - 1/8*e^3 + 85/2*e^2 - 11/2*e - 48', '-3/16*e^6 + 1/8*e^5 + 85/16*e^4 - 23/8*e^3 - 635/16*e^2 + 193/8*e + 44', '-1/2*e^6 + 7/4*e^5 + 9*e^4 - 28*e^3 - 89/4*e^2 + 67/2*e + 4', '-9/16*e^6 + 9/4*e^5 + 149/16*e^4 - 149/4*e^3 - 225/16*e^2 + 471/8*e + 24', '-3/4*e^6 + 2*e^5 + 29/2*e^4 - 133/4*e^3 - 50*e^2 + 111/2*e + 47', '-1/8*e^6 + 1/2*e^5 + 7/4*e^4 - 73/8*e^3 + 11/4*e^2 + 29*e - 12', '9/8*e^6 - 15/4*e^5 - 21*e^4 + 503/8*e^3 + 257/4*e^2 - 114*e - 52', '-1/4*e^6 + 7*e^4 + 5/4*e^3 - 52*e^2 - 8*e + 70', '1/8*e^6 - 3/4*e^5 - 17/8*e^4 + 27/2*e^3 + 19/8*e^2 - 125/4*e', '-1/8*e^6 + 1/2*e^5 + 13/8*e^4 - 19/2*e^3 + 15/8*e^2 + 123/4*e + 8', 'e^6 - 3*e^5 - 75/4*e^4 + 201/4*e^3 + 233/4*e^2 - 94*e - 33', '-3/4*e^6 + 2*e^5 + 63/4*e^4 - 33*e^3 - 291/4*e^2 + 109/2*e + 90', '1/2*e^6 - 3/2*e^5 - 39/4*e^4 + 103/4*e^3 + 139/4*e^2 - 57*e - 17', '-7/8*e^6 + 9/4*e^5 + 137/8*e^4 - 151/4*e^3 - 479/8*e^2 + 261/4*e + 52', '-1/4*e^5 + 3/4*e^4 + 15/4*e^3 - 15*e^2 + 34', '1/2*e^6 - 7/4*e^5 - 37/4*e^4 + 125/4*e^3 + 51/2*e^2 - 74*e - 14', '9/16*e^6 - 9/4*e^5 - 149/16*e^4 + 149/4*e^3 + 193/16*e^2 - 519/8*e + 20', '1/4*e^6 - 3/4*e^5 - 7/2*e^4 + 43/4*e^3 - 21/4*e^2 + 19/2*e + 22', '-1/4*e^6 + 1/2*e^5 + 23/4*e^4 - 19/2*e^3 - 113/4*e^2 + 57/2*e + 20', '-1/8*e^6 + 7/8*e^5 - 3/4*e^4 - 107/8*e^3 + 369/8*e^2 + 23/4*e - 80', '-1/4*e^5 - 1/2*e^4 + 7*e^3 + 41/4*e^2 - 91/2*e - 22', '1/4*e^6 - 5/4*e^5 - 2*e^4 + 77/4*e^3 - 137/4*e^2 - 15/2*e + 80', '5/8*e^6 - 11/4*e^5 - 77/8*e^4 + 93/2*e^3 + 47/8*e^2 - 345/4*e - 4', '-1/8*e^6 + 1/2*e^5 + 13/8*e^4 - 15/2*e^3 + 31/8*e^2 + 3/4*e - 36', '5/4*e^6 - 35/8*e^5 - 177/8*e^4 + 585/8*e^3 + 205/4*e^2 - 124*e - 32', '-1/2*e^6 + e^5 + 21/2*e^4 - 15*e^3 - 97/2*e^2 + 12*e + 54', '7/16*e^6 - e^5 - 143/16*e^4 + 31/2*e^3 + 543/16*e^2 - 97/8*e - 44', '1/2*e^6 - 2*e^5 - 8*e^4 + 65/2*e^3 + 7*e^2 - 41*e', '-1/2*e^4 + 5/2*e^3 + 17/2*e^2 - 33*e - 22', '1/8*e^6 - 1/8*e^5 - 2*e^4 + 13/8*e^3 - 13/8*e^2 + 9/4*e + 48', '-1/8*e^6 + 17/8*e^4 + e^3 - 9/8*e^2 - 53/4*e - 16', '-3/8*e^6 + 1/2*e^5 + 9*e^4 - 65/8*e^3 - 101/2*e^2 + 25/2*e + 44', '-1/4*e^6 + 1/4*e^5 + 6*e^4 - 13/4*e^3 - 131/4*e^2 - 19/2*e + 28', '-3/16*e^6 - 1/4*e^5 + 95/16*e^4 + 19/4*e^3 - 787/16*e^2 - 123/8*e + 52', '1/4*e^6 - 5/4*e^5 - 15/4*e^4 + 22*e^3 - 5/2*e^2 - 49*e + 16', '3/8*e^6 - e^5 - 55/8*e^4 + 33/2*e^3 + 143/8*e^2 - 89/4*e - 20', '-7/8*e^5 + 17/8*e^4 + 121/8*e^3 - 71/2*e^2 - 55/2*e + 68', '-5/16*e^6 + 2*e^5 + 53/16*e^4 - 34*e^3 + 299/16*e^2 + 491/8*e - 12', '-1/4*e^6 + 5/4*e^5 + 3*e^4 - 83/4*e^3 + 39/4*e^2 + 38*e - 1', '1/16*e^6 - 1/4*e^5 - 17/16*e^4 + 9/2*e^3 + 29/16*e^2 - 83/8*e - 8', '-1/2*e^6 + 9/4*e^5 + 31/4*e^4 - 149/4*e^3 - 5*e^2 + 113/2*e + 9'], 'hecke_polynomial': 'x^7 - 4*x^6 - 17*x^5 + 72*x^4 + 29*x^3 - 198*x^2 + 128', 'label': '4.4.17417.1-16.2-c'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 17417, 'ideals': ['[1, 1, 1]', '[2, 2, w^3 - 3*w^2 - w + 2]', '[4, 4, w]', '[5, 5, w^2 - 2*w - 3]', '[5, 5, w^3 - 3*w^2 - 3*w + 5]', '[8, 2, w^3 - 2*w^2 - 3*w + 3]', '[8, 8, -w^2 + w + 4]', '[10, 10, -w^3 + 3*w^2 + 2*w - 6]', '[10, 10, -w + 2]', '[13, 13, -w^2 + w + 3]', '[16, 2, 2]', '[16, 16, w^3 - 2*w^2 - 4*w]', '[17, 17, -w^2 + 3*w + 1]', '[20, 20, -2*w^3 + 5*w^2 + 7*w - 8]', '[20, 20, w^3 - 2*w^2 - 3*w]', '[23, 23, w^2 - 3]', '[25, 5, -w^3 + 2*w^2 + 4*w - 3]', '[25, 5, -w^2 + 2*w + 1]', '[25, 25, w^3 - 4*w^2 + 2*w + 3]', '[25, 25, w^3 - 3*w^2 - 2*w + 3]', '[26, 26, w^2 - 3*w - 2]', '[32, 4, 2*w^3 - 6*w^2 - 2*w + 4]', '[32, 32, 2*w^3 - 5*w^2 - 6*w + 8]', '[34, 34, w^3 - 2*w^2 - 3*w + 2]', '[37, 37, w^3 - 4*w^2 - 2*w + 9]', '[40, 10, -w^3 + 2*w^2 + 5*w - 1]', '[40, 10, w^3 - 2*w^2 - 3*w + 1]', '[40, 40, w^3 - 3*w^2 - 3*w + 4]', '[40, 40, -w^2 + 2*w]', '[41, 41, w^2 - w - 5]', '[46, 46, -w^3 + 3*w^2 + 2*w - 2]', '[49, 7, -w^3 + 2*w^2 + 2*w - 1]', '[49, 7, w^2 + w - 3]', '[50, 10, -w^2 + 2*w + 6]', '[50, 10, -w^3 + 4*w^2 - w - 6]', '[50, 50, w^3 - 2*w^2 - 2*w + 2]', '[50, 50, -w^3 + 4*w^2 + w - 10]', '[52, 52, w^3 - 2*w^2 - 4*w + 4]', '[59, 59, w^3 - 3*w^2 - 4*w + 5]', '[64, 4, -w^3 + 2*w^2 + 5*w - 3]', '[64, 8, 2*w]', '[64, 64, w^2 - 3*w - 4]', '[65, 65, -2*w + 1]', '[65, 65, -2*w^2 + 4*w + 5]', '[67, 67, -w^3 + 3*w^2 + w - 5]', '[68, 68, -w^3 + 3*w^2 + w]', '[71, 71, 2*w - 3]', '[71, 71, w^3 - 4*w^2 + 2*w + 5]', '[74, 74, w^3 - 2*w^2 - 5*w + 2]', '[79, 79, -w^3 + 5*w^2 - 4*w - 5]', '[79, 79, -2*w^3 + 7*w^2 + 5*w - 15]', '[80, 10, 2*w^2 - 4*w - 6]', '[80, 10, 2*w^3 - 6*w^2 - 6*w + 10]', '[80, 80, -w^3 + 3*w^2]', '[80, 80, w^3 - 3*w^2 - 2*w + 8]', '[81, 3, -3]', '[82, 82, -2*w^3 + 5*w^2 + 5*w - 2]', '[83, 83, -2*w^3 + 6*w^2 + 2*w - 5]', '[85, 85, w + 3]', '[85, 85, -2*w^3 + 6*w^2 + w - 3]', '[92, 92, -2*w^3 + 5*w^2 + 5*w - 8]', '[97, 97, w^3 - w^2 - 7*w - 3]', '[98, 14, -2*w^3 + 7*w^2 + w - 6]', '[98, 14, 3*w^3 - 10*w^2 - w + 6]', '[100, 20, 2*w^3 - 4*w^2 - 7*w]', '[100, 20, -w^2 + 4]', '[100, 100, -w^3 + 3*w^2 + w - 8]', '[100, 100, -w^3 + 3*w^2 - 4]', '[101, 101, -w^3 + 3*w^2 + 3*w - 3]', '[104, 26, w^3 - 2*w^2 - 3*w - 3]', '[104, 104, w^3 - 3*w^2 - 2*w]', '[107, 107, -w^3 + 4*w^2 - 7]', '[113, 113, w^3 - 3*w^2 - 5*w + 3]', '[115, 115, -w^2 + 3*w + 5]', '[115, 115, w^3 - 2*w^2 - 2*w - 1]', '[118, 118, w^3 - 4*w^2 + 6]', '[121, 11, -w^3 + 3*w^2 + 4*w - 3]', '[121, 11, 2*w^3 - 6*w^2 - 3*w + 5]', '[125, 5, -w^3 + 4*w^2 + 2*w - 7]', '[125, 5, 2*w^3 - 5*w^2 - 5*w + 1]', '[125, 25, w^2 + 1]', '[125, 25, -2*w^2 + 5*w + 3]', '[125, 125, -2*w^3 + 4*w^2 + 9*w - 3]', '[125, 125, 2*w^3 - 6*w^2 - 6*w + 13]', '[127, 127, -2*w^3 + 6*w^2 + 5*w - 9]', '[128, 4, 2*w^3 - 4*w^2 - 6*w + 6]', '[128, 16, -2*w^2 + 2*w + 8]', '[128, 128, -w^3 + 4*w^2 + 2*w - 8]', '[130, 130, -w^3 + 4*w^2 + 2*w - 10]', '[130, 130, w^3 - 3*w^2 - w + 6]', '[134, 134, 2*w^3 - 8*w^2 + 3*w + 6]', '[136, 34, -w^3 + 4*w^2 + w - 9]', '[136, 136, w^3 - 3*w^2 - 4*w + 8]', '[137, 137, -w^3 + 5*w^2 + 3*w - 9]', '[139, 139, w^3 - w^2 - 4*w + 1]', '[142, 142, -5*w^3 + 17*w^2 + w - 14]', '[142, 142, -7*w^3 + 26*w^2 - 5*w - 22]', '[148, 148, w^3 - 5*w^2 + 3*w + 8]', '[149, 149, w^3 - 3*w^2 - w + 9]', '[157, 157, w^2 - 4*w + 1]', '[158, 158, -w^3 + 3*w^2 + 3*w - 2]', '[158, 158, -2*w^3 + 5*w^2 + 7*w - 6]', '[160, 20, -2*w^3 + 6*w^2 + 4*w - 12]', '[160, 20, -2*w + 4]', '[160, 160, 2*w^3 - 5*w^2 - 5*w + 4]', '[160, 160, -w^3 + 2*w^2 + w - 4]', '[162, 6, -3*w^3 + 9*w^2 + 3*w - 6]', '[163, 163, -3*w^3 + 7*w^2 + 9*w - 13]', '[163, 163, w^3 - 3*w^2 - w + 7]', '[164, 164, w^3 - w^2 - 5*w]', '[166, 166, w^3 - 4*w^2 + 10]', '[169, 169, -2*w^3 + 6*w^2 + 4*w - 13]', '[170, 170, 2*w^3 - 5*w^2 - 4*w + 2]', '[170, 170, -w^3 + w^2 + 7*w + 2]', '[179, 179, -2*w^3 + 3*w^2 + 5*w - 5]', '[179, 179, -2*w^3 + 4*w^2 + 5*w - 9]', '[181, 181, -w^2 + 3*w - 3]', '[181, 181, 2*w^3 - 4*w^2 - 8*w + 5]', '[184, 46, w^3 - 4*w^2 + w + 7]', '[184, 184, w^3 - 3*w^2 + w + 4]', '[185, 185, -2*w^2 + 3*w + 7]', '[185, 185, 2*w^2 - 4*w - 11]', '[191, 191, 2*w - 5]', '[193, 193, -2*w^3 + 4*w^2 + 7*w + 3]', '[193, 193, -2*w^3 + 5*w^2 + 5*w - 7]', '[194, 194, -4*w^2 + 9*w + 10]', '[196, 28, w^3 - 4*w^2 - w + 8]', '[196, 28, -3*w^2 + 2*w + 4]', '[197, 197, -w^3 + 4*w^2 - 11]', '[199, 199, -2*w^3 + 8*w^2 + 6*w - 15]', '[200, 10, -w^3 + 4*w^2 - w - 1]', '[200, 10, -w^3 + 2*w^2 + w - 5]', '[200, 40, 3*w^3 - 8*w^2 - 9*w + 12]', '[200, 40, 2*w^3 - 6*w^2 - 3*w + 4]', '[200, 50, -w^3 + 4*w^2 + w - 7]', '[200, 50, w^3 - 4*w^2 - 3*w + 9]', '[200, 200, -w^3 + w^2 + 6*w]', '[200, 200, 2*w^3 - 4*w^2 - 7*w + 4]', '[202, 202, 2*w^3 - 6*w^2 - w + 2]', '[205, 205, -w^3 - w^2 + 10*w + 11]', '[205, 205, -4*w^3 + 10*w^2 + 12*w - 17]', '[208, 26, -2*w^2 + 2*w + 6]', '[208, 208, w^2 + w - 4]', '[211, 211, -2*w^3 + 3*w^2 + 6*w - 5]', '[211, 211, -4*w^3 + 10*w^2 + 12*w - 19]', '[214, 214, 3*w^3 - 12*w^2 + 5*w + 10]', '[221, 221, -2*w^3 + 4*w^2 + 7*w - 1]', '[226, 226, -2*w^2 + 3*w + 6]', '[229, 229, w^3 - 3*w^2 - 4*w + 9]', '[229, 229, w^2 - 5]', '[230, 230, 3*w^2 - 7*w - 6]', '[230, 230, -w^3 + 2*w^2 + 3*w - 6]', '[233, 233, w^2 - 2*w - 7]', '[236, 236, -4*w^3 + 15*w^2 - 4*w - 12]', '[239, 239, -3*w^3 + 10*w^2 + 2*w - 9]', '[239, 239, -2*w^3 + 5*w^2 + 5*w - 5]', '[242, 22, w^3 - 2*w^2 - 2*w - 2]', '[242, 22, -8*w^3 + 27*w^2 - 18]', '[245, 35, w^3 - 3*w^2 + 5]', '[245, 35, 2*w^2 - 6*w - 5]', '[245, 35, 2*w^3 - 6*w^2 + 3]', '[245, 35, 2*w^2 + w - 5]', '[250, 10, w^3 - 4*w^2 + 3*w + 2]', '[250, 10, 2*w^3 - 5*w^2 - 5*w + 6]', '[250, 50, 5*w^3 - 13*w^2 - 15*w + 22]', '[250, 50, w^3 - 3*w^2 - 4*w + 2]', '[250, 250, -2*w^2 + 3*w + 2]', '[250, 250, -w^2 + 4*w + 2]', '[254, 254, 2*w^3 - 7*w^2 + 2*w + 2]', '[256, 4, 4]', '[256, 32, 2*w^3 - 4*w^2 - 8*w]', '[256, 256, -w^2 + 4*w]', '[257, 257, -2*w^3 + 5*w^2 + 4*w - 9]', '[260, 260, -2*w^3 + 5*w^2 + 6*w - 4]', '[260, 260, -w^3 + 5*w^2 - 4*w - 4]', '[263, 263, w^3 - 2*w^2 - 4*w - 3]', '[263, 263, w^3 - 6*w - 7]', '[268, 268, w^3 - 4*w^2 - 2*w + 4]', '[269, 269, w^3 - 3*w^2 - w - 1]', '[269, 269, w - 5]', '[272, 34, -2*w^2 + 6*w + 2]', '[272, 272, w^3 - 4*w^2 + 3*w + 4]', '[274, 274, 3*w - 2]', '[278, 278, w^3 - 4*w^2 + 2*w + 6]', '[281, 281, -2*w + 7]', '[284, 284, 2*w^2 - 3*w]', '[284, 284, -2*w^3 + 7*w^2 + 2*w - 4]', '[289, 289, -2*w^3 + 5*w^2 + 8*w - 7]', '[293, 293, 2*w^2 - w - 7]', '[293, 293, -2*w^3 + 6*w^2 + 6*w - 9]', '[295, 295, w^2 - 4*w - 1]', '[295, 295, -2*w^3 + 4*w^2 + 7*w - 3]', '[296, 74, -w^3 + 4*w^2 + w - 13]', '[296, 296, -w - 4]', '[298, 298, -2*w^3 + 4*w^2 + 7*w - 2]', '[299, 299, 3*w^3 - 8*w^2 - 8*w + 17]', '[307, 307, -2*w^3 + 5*w^2 + 4*w - 11]', '[311, 311, -w^3 + 3*w^2 + 2*w - 9]', '[314, 314, 7*w^3 - 25*w^2 + 2*w + 22]', '[316, 316, -3*w^2 + 4*w + 12]', '[316, 316, w^3 - 2*w^2 - 2*w - 4]', '[317, 317, 4*w^3 - 15*w^2 + 3*w + 15]', '[317, 317, w^3 - 4*w^2 - 4*w + 9]', '[320, 20, -w^3 + 2*w^2 + w + 1]', '[320, 20, -5*w^3 + 14*w^2 + 13*w - 27]', '[320, 40, -4*w^3 + 10*w^2 + 14*w - 16]', '[320, 40, 2*w^3 - 4*w^2 - 6*w]', '[320, 320, -w^3 + 3*w^2 + 5*w - 4]', '[320, 320, w^3 - 5*w^2 + 3*w + 4]', '[324, 12, -3*w]', '[325, 65, -2*w^3 + 5*w^2 + 8*w - 5]', '[325, 65, w^3 - 2*w^2 - 6*w + 5]', '[325, 325, -2*w^3 + 5*w^2 + 4*w - 3]', '[325, 325, w^3 - w^2 - 5*w + 1]', '[326, 326, -2*w^3 + 6*w^2 + 3*w - 10]', '[326, 326, 2*w^2 - 5*w - 2]', '[328, 82, -3*w^3 + 8*w^2 + 11*w - 11]', '[328, 328, 3*w^2 - 6*w - 16]', '[331, 331, -w^3 + 4*w^2 + 2*w - 11]', '[331, 331, 2*w^3 - 7*w^2 - 5*w + 13]', '[332, 332, -w^3 + 5*w^2 + 2*w - 12]', '[335, 335, -3*w^3 + 9*w^2 + 10*w - 17]', '[335, 335, -w^3 + 2*w^2 + 2*w + 3]', '[337, 337, 2*w^3 - 4*w^2 - 8*w - 1]', '[338, 338, -w^3 + w^2 + 7*w - 2]', '[340, 340, 2*w^3 - 6*w^2 - 5*w + 8]', '[340, 340, -3*w^3 + 7*w^2 + 10*w - 12]', '[347, 347, -2*w^3 + 7*w^2 + 9*w - 9]', '[349, 349, -w^3 + 5*w^2 - 2*w - 11]', '[349, 349, 4*w^3 - 9*w^2 - 14*w + 13]', '[353, 353, -3*w^3 + 7*w^2 + 9*w - 11]', '[355, 355, 4*w^3 - 10*w^2 - 8*w + 1]', '[355, 355, -3*w + 1]', '[355, 355, 2*w^3 - 7*w^2 + 9]', '[355, 355, -5*w^3 + 13*w^2 + 13*w - 23]', '[358, 358, -w^2 + w - 2]', '[358, 358, -2*w^3 + 5*w^2 + 4*w - 6]', '[362, 362, -8*w^3 + 27*w^2 + w - 22]', '[362, 362, w^3 - 5*w^2 + 3*w + 10]', '[367, 367, 3*w^3 - 5*w^2 - 11*w + 5]', '[367, 367, -w^3 + 3*w^2 + 5*w - 1]', '[368, 46, 2*w^2 - 6]', '[368, 368, -2*w^3 + 3*w^2 + 8*w]', '[370, 370, 4*w^3 - 11*w^2 - 10*w + 22]', '[370, 370, -3*w^3 + 5*w^2 + 13*w + 2]', '[373, 373, w^3 - 2*w^2 - 6*w + 1]', '[379, 379, 2*w^3 - 5*w^2 - 7*w + 5]', '[382, 382, -7*w^3 + 23*w^2 + 3*w - 18]', '[383, 383, 2*w^3 - 3*w^2 - 11*w - 1]', '[383, 383, -2*w^3 + 5*w^2 + 3*w - 13]', '[386, 386, -w^2 + 6]', '[386, 386, 2*w^3 - 7*w^2 + w + 2]', '[388, 388, w^3 - 2*w^2 - 6*w - 4]', '[391, 391, w^3 - w^2 - 6*w + 1]', '[392, 14, -w^3 + w - 3]', '[392, 14, w^3 - 4*w^2 - w + 1]', '[392, 56, -2*w^3 + 5*w^2 + 6*w]', '[392, 56, -w^3 + 3*w^2 + 6*w]', '[394, 394, -w^3 + 9*w + 2]', '[395, 395, w^3 - 5*w^2 + 2*w + 17]', '[395, 395, 2*w^3 - 7*w^2 - 2*w + 11]', '[395, 395, -2*w^3 + 6*w^2 + 5*w - 15]', '[395, 395, 2*w^2 - 2*w - 9]', '[397, 397, -2*w^3 + 4*w^2 + 7*w - 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11]', '[1655, 1655, -4*w^2 + 8*w + 17]', '[1655, 1655, 2*w^3 - 4*w^2 - 5*w - 5]', '[1660, 1660, -3*w^2 + 7*w + 16]', '[1660, 1660, w^3 - 5*w - 8]', '[1664, 52, 2*w^3 - 4*w^2 - 6*w - 6]', '[1664, 208, 2*w^3 - 6*w^2 - 4*w]', '[1664, 1664, -w^3 + 7*w^2 - 10*w - 8]', '[1666, 238, -w^3 + 7*w^2 + 4*w - 10]', '[1666, 238, -2*w^2 - w - 2]', '[1669, 1669, -4*w^3 + 13*w^2 + w - 5]', '[1669, 1669, 4*w^3 - 13*w^2 - 10*w + 23]', '[1675, 335, 3*w^3 - 8*w^2 - 4*w + 7]', '[1675, 335, 4*w^3 - 10*w^2 - 11*w + 15]', '[1675, 1675, -w^2 + 6*w - 3]', '[1675, 1675, 6*w^3 - 20*w^2 - 3*w + 17]', '[1676, 1676, -2*w^3 + 6*w^2 + 9*w - 8]', '[1681, 1681, -w^3 + 5*w^2 + 5*w - 5]', '[1684, 1684, 2*w^3 - 11*w^2 + 9*w + 16]', '[1684, 1684, 2*w^3 - 6*w^2 - 3*w]', '[1685, 1685, -4*w^3 + w^2 + 30*w + 19]', '[1685, 1685, w^3 - 3*w^2 - w + 11]', '[1688, 422, 3*w^3 - 8*w^2 - 9*w + 9]', '[1688, 422, 7*w^3 - 20*w^2 - 17*w + 31]', '[1688, 1688, w^3 - 5*w^2 - 3*w + 4]', '[1688, 1688, 3*w^3 - 10*w^2 - 5*w + 12]', '[1690, 1690, -3*w^2 + w + 10]', '[1690, 1690, -2*w^3 + 7*w^2 + w - 2]', '[1693, 1693, -2*w^3 + 9*w^2 - 6*w - 5]', '[1697, 1697, -4*w^3 + 15*w^2 - 5*w - 11]', '[1699, 1699, -3*w^3 + 8*w^2 + 6*w - 17]', '[1700, 340, -w^3 + 9*w]', '[1700, 340, 4*w^3 - 7*w^2 - 16*w + 4]', '[1700, 1700, 5*w^3 - 16*w^2 - 4*w + 12]', '[1700, 1700, 4*w^3 - 9*w^2 - 15*w + 8]', '[1702, 1702, -3*w^3 + 5*w^2 + 11*w - 6]', '[1706, 1706, 5*w^3 - 12*w^2 - 12*w + 26]', '[1712, 214, -2*w^3 + 8*w^2 - 14]', '[1712, 1712, -2*w^3 + w^2 + 15*w + 4]', '[1714, 1714, 7*w^3 - 26*w^2 + 6*w + 18]', '[1714, 1714, -w^2 + w + 10]', '[1717, 1717, 2*w^3 - 8*w^2 + 2*w + 13]', '[1721, 1721, 4*w^2 - 5*w - 15]', '[1721, 1721, -3*w^3 + 8*w^2 + 8*w - 7]', '[1724, 1724, -4*w^3 + 13*w^2 + 4*w - 12]', '[1724, 1724, -w^2 - w + 8]', '[1724, 1724, -2*w^3 + 10*w^2 - 7*w - 16]', '[1724, 1724, w^3 - 7*w^2 + 9*w + 8]', '[1726, 1726, 7*w^3 - 26*w^2 + 7*w + 18]', '[1726, 1726, 2*w^3 - 5*w^2 - 8*w + 2]', '[1735, 1735, -2*w^3 + 4*w^2 + 12*w + 1]', '[1735, 1735, 5*w^3 - 7*w^2 - 22*w - 1]', '[1741, 1741, -3*w^2 + 6*w + 17]', '[1741, 1741, w^3 - 2*w^2 - 3]', '[1742, 1742, -3*w^3 + 9*w^2 + 5*w - 6]', '[1745, 1745, 3*w^3 - 9*w^2 - 5*w + 5]', '[1745, 1745, 3*w^3 - 4*w^2 - 16*w - 1]', '[1745, 1745, -6*w^3 + 11*w^2 + 27*w - 3]', '[1745, 1745, -6*w^3 + 15*w^2 + 20*w - 27]', '[1747, 1747, -2*w^3 + 7*w^2 + 8*w - 9]', '[1754, 1754, -5*w^3 + 17*w^2 + w - 18]', '[1759, 1759, -4*w^3 + 10*w^2 + 15*w - 15]', '[1759, 1759, 4*w^3 - 11*w^2 - 9*w + 21]', '[1762, 1762, 4*w^3 - 13*w^2 - 2*w + 6]', '[1765, 1765, 3*w^3 - 6*w^2 - 14*w + 5]', '[1765, 1765, -11*w^3 + 33*w^2 + 32*w - 63]', '[1768, 442, -w^3 + 4*w^2 - w - 15]', '[1768, 1768, 3*w^3 - 8*w^2 - 6*w + 16]', '[1772, 1772, w^3 - 6*w^2 + w + 8]', '[1772, 1772, 5*w^3 - 13*w^2 - 11*w + 8]', '[1772, 1772, -7*w^3 + 25*w^2 - 3*w - 16]', '[1772, 1772, w^3 - 4*w^2 + 3*w + 8]', '[1775, 355, 3*w^3 - 8*w^2 - 12*w + 17]', '[1775, 355, -2*w^3 + 7*w^2 - 4*w - 3]', '[1775, 355, -6*w^3 + 18*w^2 + 4*w - 11]', '[1775, 355, -3*w^3 + 7*w^2 + 7*w - 3]', '[1775, 1775, -15*w^3 + 51*w^2 + w - 37]', '[1775, 1775, -7*w^3 + 26*w^2 - 6*w - 17]', '[1775, 1775, -4*w^3 + 15*w^2 - 5*w - 13]', '[1775, 1775, -5*w^3 + 15*w^2 + 6*w - 17]', '[1781, 1781, -w^3 + 5*w^2 - 6*w - 3]', '[1783, 1783, 4*w^3 - 11*w^2 - 10*w + 13]', '[1783, 1783, 3*w^3 - 5*w^2 - 16*w - 1]', '[1787, 1787, 4*w^3 - 11*w^2 - 11*w + 15]', '[1787, 1787, 4*w^3 - 15*w^2 - 14*w + 27]', '[1789, 1789, 4*w^3 - 10*w^2 - 11*w + 7]', '[1790, 1790, w^3 - 6*w^2 + 4*w + 10]', '[1790, 1790, -4*w^3 + 13*w^2 + 13*w - 26]', '[1790, 1790, -3*w^3 + 11*w^2 + 9*w - 18]', '[1790, 1790, 2*w^2 - 7*w - 2]', '[1807, 1807, w^3 - 5*w^2 - 7*w + 3]', '[1808, 226, 2*w^3 - 6*w^2 - 10*w + 6]', '[1808, 1808, -w^3 - w^2 + 12*w + 16]', '[1810, 1810, w^3 - 5*w^2 + 9*w - 6]', '[1810, 1810, 4*w^3 - 10*w^2 - 15*w + 18]', '[1810, 1810, 7*w^3 - 20*w^2 - 16*w + 34]', '[1810, 1810, -9*w^3 + 23*w^2 + 28*w - 38]', '[1813, 259, w^2 - 6*w - 3]', '[1813, 259, 4*w^3 - 11*w^2 - 6*w + 1]', '[1814, 1814, -w^3 - 2*w^2 + 14*w + 6]', '[1814, 1814, -6*w^3 + 19*w^2 + 6*w - 18]', '[1817, 1817, -2*w^2 + 7*w + 3]', '[1817, 1817, -3*w^3 + 6*w^2 + 14*w - 7]', '[1819, 1819, 6*w^3 - 17*w^2 - 10*w + 13]', '[1832, 458, 7*w^3 - 20*w^2 - 21*w + 35]', '[1832, 458, -3*w^3 + 10*w^2 + 11*w - 15]', '[1832, 1832, -w^3 + 4*w^2 - 2*w - 16]', '[1832, 1832, 4*w^3 - 12*w^2 - 9*w + 28]', '[1835, 1835, -5*w^3 + 8*w^2 + 26*w + 5]', '[1835, 1835, -3*w^3 + 5*w^2 + 6*w - 13]', '[1835, 1835, 3*w^3 - 3*w^2 - 16*w - 5]', '[1835, 1835, 3*w^3 - 2*w^2 - 18*w - 9]', '[1840, 230, -2*w^2 + 6*w + 10]', '[1840, 230, 2*w^3 - 4*w^2 - 4*w - 2]', '[1840, 1840, 3*w^3 - 12*w^2 + w + 12]', '[1840, 1840, -w^2 + w - 4]', '[1844, 1844, 5*w^3 - 20*w^2 + 6*w + 20]', '[1844, 1844, 3*w^3 - 13*w^2 + 7*w + 16]', '[1846, 1846, 2*w^3 - 9*w^2 + 5*w + 6]', '[1846, 1846, 7*w^3 - 21*w^2 - 8*w + 10]', '[1847, 1847, -w^3 + 6*w^2 - 6*w - 5]', '[1847, 1847, 4*w^3 - 10*w^2 - 11*w + 11]', '[1850, 370, w^3 - w^2 - 3*w - 6]', '[1850, 370, -2*w^3 + 8*w^2 + 3*w - 22]', '[1850, 1850, 2*w^3 - 7*w^2 - w + 14]', '[1850, 1850, 2*w^3 - 6*w^2 - w - 2]', '[1858, 1858, -3*w^2 + 8*w + 2]', '[1858, 1858, -2*w^3 + 8*w^2 + 3*w - 18]', '[1863, 69, -3*w^2 + 9]', '[1864, 466, -5*w^3 + 10*w^2 + 17*w - 13]', '[1864, 1864, w^3 + 4*w^2 - 12*w - 24]', '[1865, 1865, 4*w^3 - 10*w^2 - 9*w + 21]', '[1865, 1865, -4*w^3 + 6*w^2 + 18*w + 5]', '[1867, 1867, -2*w^3 + 3*w^2 + 8*w - 5]', '[1867, 1867, 3*w^3 - 7*w^2 - 6*w - 1]', '[1867, 1867, -4*w^2 + 9*w + 7]', '[1867, 1867, -w^3 + 7*w^2 + 2*w - 15]', '[1871, 1871, -4*w^2 + 11*w + 7]', '[1874, 1874, 9*w^3 - 28*w^2 - 6*w + 14]', '[1877, 1877, 4*w^3 - 11*w^2 - 8*w + 7]', '[1879, 1879, -5*w^2 + 3*w + 15]', '[1882, 1882, 3*w^3 - 14*w^2 + 10*w + 18]', '[1886, 1886, 3*w^3 - 6*w^2 - 10*w + 2]', '[1888, 236, 2*w^3 - 8*w^2 + 12]', '[1888, 1888, w^3 + w^2 - 11*w - 4]', '[1889, 1889, -3*w^3 + 13*w^2 - 7*w - 11]', '[1895, 1895, 6*w^3 - 16*w^2 - 16*w + 33]', '[1895, 1895, -3*w^3 + 3*w^2 + 18*w + 5]', '[1901, 1901, w^3 - 7*w^2 + w + 21]', '[1906, 1906, 3*w^3 - 17*w^2 + 17*w + 22]', '[1906, 1906, -3*w^3 + 8*w^2 + 3*w - 2]', '[1907, 1907, -2*w^3 + 8*w^2 + w - 17]', '[1909, 1909, 2*w^3 - 7*w^2 - 4*w + 7]', '[1910, 1910, -2*w^2 + 9*w - 10]', '[1910, 1910, 7*w^3 - 21*w^2 - 16*w + 38]', '[1912, 478, -3*w^3 + 4*w^2 + 15*w + 1]', '[1912, 478, -3*w^3 + 8*w^2 + 7*w - 19]', '[1912, 1912, -2*w^3 + 9*w + 4]', '[1912, 1912, -4*w^3 + 9*w^2 + 16*w - 8]', '[1913, 1913, -2*w^3 + 8*w^2 - 19]', '[1915, 1915, 2*w^2 - 6*w - 11]', '[1915, 1915, -7*w^3 + 9*w^2 + 36*w + 15]', '[1915, 1915, -w^3 - 3*w^2 + 10*w + 19]', '[1915, 1915, 4*w^3 - 12*w^2 - 8*w + 27]', '[1916, 1916, w^3 + w^2 - 5*w]', '[1921, 1921, 2*w^2 - 4*w - 13]', '[1924, 1924, -2*w^3 + 3*w^2 + 9*w + 8]', '[1930, 1930, 4*w^2 - 9*w - 14]', '[1930, 1930, -4*w^3 + 11*w^2 + 5*w - 2]', '[1930, 1930, 7*w^3 - 18*w^2 - 22*w + 34]', '[1930, 1930, -5*w^3 + 15*w^2 + 11*w - 22]', '[1933, 1933, w^3 + 2*w^2 - 10*w - 13]', '[1933, 1933, -4*w^3 + 8*w^2 + 14*w - 9]', '[1934, 1934, 2*w^3 - 11*w^2 + 11*w + 14]', '[1936, 22, -2*w^3 + 6*w^2 + 8*w - 6]', '[1936, 22, 4*w^3 - 12*w^2 - 6*w + 10]', '[1936, 176, -3*w^3 + 7*w^2 + 7*w + 4]', '[1936, 176, w^3 - 9*w - 12]', '[1937, 1937, 6*w^2 - 4*w - 19]', '[1940, 1940, -4*w^3 + w^2 + 28*w + 20]', '[1940, 1940, w^3 + 3*w^2 - 13*w - 24]', '[1942, 1942, 3*w^3 - 13*w^2 + 8*w + 14]', '[1942, 1942, 3*w^3 - 10*w^2 - 4*w + 10]', '[1948, 1948, -2*w^3 + 4*w^2 - w]', '[1948, 1948, -4*w^3 + 14*w^2 + w - 8]', '[1954, 1954, -3*w^3 + 6*w^2 + 14*w - 6]', '[1955, 1955, 4*w^3 - 13*w^2 - 2*w + 15]', '[1955, 1955, 4*w^3 - 13*w^2 - 10*w + 25]', '[1960, 70, 3*w^3 - 4*w^2 - 9*w + 7]', '[1960, 70, -w^3 - 2*w^2 + 7*w + 9]', '[1960, 70, -w^3 + 6*w^2 + 3*w - 7]', '[1960, 70, w^3 - 4*w^2 - 3*w - 1]', '[1960, 280, w^3 - w - 4]', '[1960, 280, -4*w^2 + 3*w + 12]', '[1960, 280, -w^2 - w - 4]', '[1960, 280, 3*w^3 - 8*w^2 + 8]', '[1964, 1964, w^3 - 8*w^2 + 8*w + 12]', '[1966, 1966, -4*w^3 + 9*w^2 + 14*w - 6]', '[1970, 1970, -4*w^3 + 13*w^2 + 8*w - 26]', '[1970, 1970, 7*w^3 - 21*w^2 - 17*w + 46]', '[1975, 395, 2*w^3 - 5*w^2 - 3*w - 5]', '[1975, 395, -4*w^2 + 8*w + 19]', '[1975, 395, 3*w^3 - 9*w^2 - 12*w + 13]', '[1975, 395, -3*w^3 + 9*w^2 + 7*w - 11]', '[1975, 1975, -7*w^3 + 17*w^2 + 21*w - 29]', '[1975, 1975, -2*w^3 + 9*w^2 + w - 27]', '[1975, 1975, 4*w^3 - 9*w^2 - 14*w + 15]', '[1975, 1975, w^3 - 6*w + 1]', '[1982, 1982, w^3 - 7*w^2 + 7*w + 14]', '[1982, 1982, 2*w^3 - 3*w^2 - 12*w + 2]', '[1985, 1985, 4*w^3 - 9*w^2 - 17*w + 9]', '[1985, 1985, -3*w^2 + 7*w + 3]', '[1985, 1985, 3*w^3 - 7*w^2 - 11*w + 5]', '[1985, 1985, -3*w^3 + 6*w^2 + 10*w - 5]', '[1987, 1987, -3*w^3 + 7*w^2 + 10*w - 3]', '[1990, 1990, 3*w^3 - 7*w^2 - 8*w + 6]', '[1990, 1990, -8*w^3 + 20*w^2 + 21*w - 38]', '[1993, 1993, w^3 - 2*w^2 - 6*w + 11]', '[1993, 1993, w^3 - 6*w^2 - 4*w + 13]', '[1994, 1994, -4*w^3 + 11*w^2 + 8*w - 14]', '[1997, 1997, -3*w^3 + 9*w^2 + 9*w - 13]', '[1999, 1999, 2*w^3 - 5*w^2 - 2*w - 1]', '[2000, 10, -2*w^3 + 8*w^2 + 4*w - 14]', '[2000, 10, 4*w^3 - 10*w^2 - 10*w + 2]', '[2000, 50, 2*w^2 + 2]', '[2000, 50, -4*w^2 + 10*w + 6]', '[2000, 80, 4*w^3 - 10*w^2 - 15*w + 12]', '[2000, 80, -2*w^3 + 3*w^2 + 9*w - 4]', '[2000, 250, -4*w^3 + 8*w^2 + 18*w - 6]', '[2000, 250, 4*w^3 - 12*w^2 - 12*w + 26]', '[2000, 400, -w^3 + w^2 + 9*w - 4]', '[2000, 400, w^3 - 7*w^2 + 6*w + 8]', '[2000, 2000, 4*w^3 - 11*w^2 - 12*w + 16]', '[2000, 2000, 5*w^3 - 12*w^2 - 16*w + 16]', '[2003, 2003, -4*w^3 + 10*w^2 + 16*w - 11]', '[2006, 2006, -6*w^3 + 18*w^2 + 7*w - 14]', '[2009, 287, 2*w^3 - 5*w^2 - 8*w + 1]', '[2009, 287, 2*w^3 - 4*w^2 - 5*w + 11]', '[2011, 2011, 3*w + 7]', '[2011, 2011, -4*w^3 + 12*w^2 + 8*w - 15]', '[2020, 2020, 5*w^3 - 15*w^2 - 11*w + 32]', '[2020, 2020, 2*w^3 - 3*w^2 - 6*w - 4]', '[2025, 15, 3*w^3 - 6*w^2 - 12*w + 9]', '[2025, 15, 3*w^2 - 6*w - 3]', '[2025, 75, -3*w^3 + 12*w^2 - 6*w - 9]', '[2025, 75, -3*w^3 + 9*w^2 + 6*w - 9]', '[2026, 2026, -w^3 + 4*w^2 - 2*w - 10]', '[2027, 2027, -3*w^3 + 7*w^2 + 7*w - 9]', '[2029, 2029, -3*w^3 + 13*w^2 + 10*w - 25]', '[2029, 2029, -2*w^3 + 2*w^2 + 12*w + 1]', '[2032, 254, -4*w^3 + 12*w^2 + 10*w - 18]', '[2032, 2032, -w^3 + 3*w^2 + 3*w - 12]', '[2036, 2036, -w^3 + 6*w^2 - 4*w - 12]', '[2036, 2036, -5*w^2 + 10*w + 12]', '[2038, 2038, -3*w^3 + 11*w^2 + w - 14]', '[2039, 2039, w^3 - 6*w^2 + 4*w + 11]', '[2039, 2039, w^2 + 2*w - 7]', '[2041, 2041, 3*w^3 - 7*w^2 - 8*w + 7]', '[2042, 2042, w^3 - 2*w^2 - 3*w - 6]', '[2045, 2045, -5*w^3 + 13*w^2 + 12*w - 21]', '[2045, 2045, 3*w^3 - 12*w^2 + 4*w + 15]', '[2048, 8, 4*w^3 - 8*w^2 - 12*w + 12]', '[2048, 32, -4*w^2 + 4*w + 16]', '[2048, 256, -2*w^3 + 8*w^2 + 4*w - 16]', '[2048, 2048, -3*w^3 + 5*w^2 + 13*w - 4]', '[2050, 410, w^3 + 4*w^2 - 13*w - 26]', '[2050, 410, w^3 - 7*w^2 + 6*w + 18]', '[2050, 2050, 3*w^3 - 13*w^2 + 38]', '[2050, 2050, -2*w^3 + 6*w^2 + 7*w - 6]', '[2054, 2054, -4*w^3 + 7*w^2 + 16*w - 6]', '[2054, 2054, 4*w^3 - 10*w^2 - 11*w + 14]', '[2056, 514, -7*w^3 + 14*w^2 + 19*w - 27]', '[2056, 2056, -3*w^3 + 12*w^2 + 8*w - 24]', '[2057, 187, -7*w^3 + 26*w^2 - 4*w - 27]', '[2057, 187, w^3 - 5*w^2 + 3*w + 13]', '[2063, 2063, -w^3 + 2*w^2 + 4*w - 9]', '[2069, 2069, -4*w^3 + 8*w^2 + 18*w - 9]', '[2069, 2069, 3*w^3 - 8*w^2 - 8*w + 1]', '[2075, 415, -2*w^3 + 6*w^2 + 3*w - 17]', '[2075, 415, w^3 - 3*w^2 - 4*w - 3]', '[2075, 2075, -2*w^3 + 7*w^2 + 5*w - 19]', '[2075, 2075, 5*w^3 - 16*w^2 - 12*w + 33]', '[2080, 260, -2*w^3 + 8*w^2 + 4*w - 20]', '[2080, 260, 2*w^3 - 6*w^2 - 2*w + 12]', '[2080, 2080, 2*w^3 - 3*w^2 - 12*w]', '[2080, 2080, 4*w^3 - 13*w^2 - 10*w + 24]', '[2081, 2081, -4*w^3 + 15*w^2 - w - 15]', '[2083, 2083, w^2 + w - 9]', '[2084, 2084, 3*w^2 - 5*w]', '[2084, 2084, w^2 + 4]', '[2087, 2087, -2*w^3 + 6*w^2 + 6*w + 1]', '[2087, 2087, 2*w^3 - 3*w^2 - 5*w + 9]', '[2092, 2092, -4*w^2 + 5*w + 8]', '[2092, 2092, w^3 - 7*w]', '[2092, 2092, -8*w^3 + 27*w^2 + 2*w - 20]', '[2092, 2092, w^3 - 5*w^2 + 6*w + 4]', '[2095, 2095, -w^3 + w^2 + 5*w + 9]', '[2095, 2095, 5*w^3 - 13*w^2 - 13*w + 21]', '[2098, 2098, 2*w^3 - 10*w^2 + 9*w + 10]', '[2099, 2099, -4*w^3 + 9*w^2 + 15*w - 15]', '[2102, 2102, 2*w^3 - 10*w^2 - 5*w + 22]', '[2104, 526, -3*w^3 + 4*w^2 + 11*w - 1]', '[2104, 526, -3*w^3 + 8*w^2 + 15*w - 5]', '[2104, 2104, 3*w^3 - w^2 - 24*w - 24]', '[2104, 2104, 3*w^3 - w^2 - 18*w - 16]', '[2105, 2105, 2*w^3 - w^2 - 15*w - 15]', '[2105, 2105, -6*w^3 + 13*w^2 + 18*w + 1]', '[2105, 2105, -w^3 - 2*w^2 + 10*w + 11]', '[2105, 2105, 3*w^3 - 9*w^2 - 5*w + 17]', '[2106, 78, -3*w^2 + 9*w + 6]', '[2110, 2110, -2*w^3 + 3*w^2 + 7*w + 6]', '[2110, 2110, -10*w^3 + 28*w^2 + 31*w - 54]', '[2110, 2110, -3*w^3 + 10*w^2 + 11*w - 18]', '[2110, 2110, -w^3 + 3*w^2 - 2*w + 6]', '[2111, 2111, 2*w^3 - w^2 - 14*w - 5]', '[2113, 2113, -4*w^3 + 9*w^2 + 13*w - 3]', '[2116, 2116, -3*w^3 + 10*w^2 + 2*w - 4]', '[2119, 2119, w^3 - 9*w^2 + 14*w + 13]', '[2119, 2119, 3*w^3 - 11*w^2 + 17]', '[2122, 2122, 4*w^3 - 11*w^2 - 7*w + 14]', '[2125, 85, 4*w^3 - 11*w^2 - 8*w + 13]', '[2125, 85, -4*w^3 + 10*w^2 + 15*w - 17]', '[2125, 425, -3*w^3 + 5*w^2 + 12*w - 5]', '[2125, 425, w^3 - 5*w^2 + 6*w + 5]', '[2125, 2125, 2*w^3 - 6*w^2 - 6*w + 5]', '[2125, 2125, 3*w^3 - 6*w^2 - 10*w + 3]', '[2126, 2126, -4*w^3 + 8*w^2 + 15*w - 6]', '[2132, 2132, -4*w^3 + 10*w^2 + 15*w - 16]', '[2140, 2140, -4*w^2 + 11*w + 8]', '[2140, 2140, 9*w^3 - 23*w^2 - 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16*w^2 + 13*w + 22]', '[2224, 278, 2*w^3 - 2*w^2 - 8*w + 2]', '[2224, 2224, -w^3 - 2*w^2 + 9*w + 12]', '[2231, 2231, -3*w^3 + 2*w^2 + 14*w + 5]', '[2234, 2234, 4*w^3 - 16*w^2 + 7*w + 14]', '[2234, 2234, -w^3 + 6*w - 2]', '[2237, 2237, -4*w^3 + 10*w^2 + 11*w - 13]', '[2248, 562, 7*w^3 - 18*w^2 - 21*w + 29]', '[2248, 2248, 2*w^3 - 9*w^2 - w + 28]', '[2251, 2251, 3*w^3 - 5*w^2 - 15*w + 5]', '[2251, 2251, -w^3 + 6*w^2 - 15]', '[2252, 2252, w^3 - 2*w^2 + 3*w]', '[2252, 2252, 2*w^3 - 5*w^2 - w]', '[2254, 322, -3*w^3 + 7*w^2 + 3*w - 2]', '[2254, 322, 3*w^3 - 6*w^2 - 4*w + 6]', '[2258, 2258, w^3 - 10*w^2 + 17*w + 14]', '[2258, 2258, w^2 - 6*w + 2]', '[2260, 2260, -w^3 + 5*w^2 + w - 16]', '[2260, 2260, 2*w^3 - 7*w^2 + 12]', '[2269, 2269, w^3 - 4*w - 7]', '[2272, 284, -10*w^3 + 34*w^2 + 2*w - 28]', '[2272, 284, -14*w^3 + 52*w^2 - 10*w - 44]', '[2272, 2272, w^3 - 8*w]', '[2272, 2272, -8*w^3 + 23*w^2 + 22*w - 40]', '[2273, 2273, 2*w^3 - 9*w^2 + 2*w + 19]', '[2276, 2276, -2*w^2 - 5*w]', '[2278, 2278, -2*w^3 + 3*w^2 + 8*w - 6]', '[2281, 2281, 4*w^3 - 10*w^2 - 9*w + 15]', '[2281, 2281, -w^3 + 7*w^2 - 5*w - 7]', '[2284, 2284, 2*w^3 - 7*w^2 - 5*w + 8]', '[2290, 2290, 4*w^3 - 13*w^2 - 9*w + 26]', '[2290, 2290, -10*w^3 + 29*w^2 + 26*w - 54]', '[2290, 2290, -w^3 + 2*w^2 + 5*w - 10]', '[2290, 2290, 3*w^3 - 7*w^2 - 14*w + 22]', '[2297, 2297, -3*w^3 + 9*w^2 + 10*w - 21]', '[2300, 460, 7*w^3 - 19*w^2 - 18*w + 36]', '[2300, 460, -3*w^3 + 6*w^2 + 13*w]', '[2300, 2300, 3*w^3 - 5*w^2 - 14*w + 4]', '[2300, 2300, -4*w^3 + 9*w^2 + 12*w - 4]', '[2305, 2305, -4*w^2 + 6*w + 9]', '[2305, 2305, 2*w^3 - 12*w - 13]', '[2305, 2305, -2*w^2 + 7*w + 9]', '[2305, 2305, w^3 - w^2 - 8*w - 9]', '[2308, 2308, w^3 - 5*w^2 - 4*w + 4]', '[2309, 2309, -3*w^2 + 7*w + 15]', '[2311, 2311, -3*w^3 + 11*w^2 + 2*w - 23]', '[2311, 2311, 4*w^3 - 10*w^2 - 9*w + 5]', '[2311, 2311, 2*w^3 - 6*w^2 - 9*w + 5]', '[2311, 2311, -2*w^3 + 3*w^2 + 11*w - 5]', '[2312, 578, -w^3 + 2*w^2 - w + 3]', '[2312, 2312, 3*w^3 - 7*w^2 - 7*w + 4]', '[2323, 2323, 3*w^3 - 4*w^2 - 8*w + 5]', '[2327, 2327, 4*w^3 - 11*w^2 - 7*w + 9]', '[2327, 2327, -2*w^3 + 6*w^2 + 2*w + 1]', '[2329, 2329, 4*w^3 - 10*w^2 - 10*w + 15]', '[2330, 2330, 4*w^3 - 13*w^2 - 7*w + 30]', '[2330, 2330, -w^3 + 4*w^2 + 3*w - 14]', '[2341, 2341, 3*w^3 - 7*w^2 - 8*w - 3]', '[2344, 586, -3*w^3 + 12*w^2 + 13*w - 17]', '[2344, 586, w^3 - 11*w + 5]', '[2344, 2344, -w^3 + 4*w^2 - 5*w - 20]', '[2344, 2344, -w^3 + 6*w^2 - 5*w - 4]', '[2347, 2347, -4*w^3 + 11*w^2 + 6*w - 7]', '[2347, 2347, w^3 - 3*w^2 - 3*w - 3]', '[2351, 2351, -4*w^3 + 9*w^2 + 10*w - 1]', '[2353, 2353, -2*w^3 + 8*w^2 + 3*w - 13]', '[2353, 2353, 4*w^3 - 9*w^2 - 17*w + 7]', '[2360, 590, -7*w^3 + 20*w^2 + 21*w - 41]', '[2360, 590, 3*w^3 - 10*w^2 + w + 11]', '[2360, 2360, -7*w^3 + 18*w^2 + 21*w - 28]', '[2360, 2360, -w^3 + 6*w^2 - 8*w - 8]', '[2363, 2363, w^3 - w^2 - 3*w - 7]', '[2368, 148, -w^3 + 6*w^2 - 7*w - 3]', '[2368, 296, 2*w^3 - 10*w^2 + 6*w + 16]', '[2368, 2368, 6*w^3 - 19*w^2 - 14*w + 40]', '[2371, 2371, -5*w^3 + 13*w^2 + 13*w - 15]', '[2371, 2371, -w^3 + 7*w^2 - 10*w - 9]', '[2372, 2372, w^3 - 4]', '[2374, 2374, -3*w^3 + 8*w^2 + 8*w - 6]', '[2377, 2377, 2*w^3 - 6*w^2 - 2*w + 15]', '[2377, 2377, 3*w^3 - 10*w^2 - 4*w + 25]', '[2381, 2381, -5*w^2 + 9*w + 11]', '[2383, 2383, 2*w^3 - 8*w^2 - 7*w + 17]', '[2384, 298, -2*w^3 + 6*w^2 + 2*w - 18]', '[2384, 2384, -5*w^3 + 9*w^2 + 24*w]', '[2389, 2389, -3*w^3 + 3*w^2 + 8*w - 3]', '[2390, 2390, 4*w^3 - 7*w^2 - 12*w + 10]', '[2390, 2390, 5*w^3 - 12*w^2 - 18*w + 22]', '[2390, 2390, 3*w^3 - w^2 - 23*w - 18]', '[2390, 2390, -5*w^3 + 15*w^2 + 9*w - 18]', '[2392, 598, -w^3 + 5*w + 9]', '[2392, 2392, -2*w^3 + 8*w^2 + w - 12]', '[2393, 2393, 2*w^3 - 3*w^2 - 12*w + 7]', '[2395, 2395, -6*w^3 + 14*w^2 + 16*w - 25]', '[2395, 2395, w^3 - 5*w^2 + 4*w + 11]', '[2399, 2399, -2*w^3 + 5*w^2 + 10*w - 5]', '[2399, 2399, -2*w^3 + 7*w^2 + 7*w - 9]', '[2401, 7, 7]', '[2401, 49, -w^3 + 6*w^2 - 4*w - 21]', '[2401, 49, -4*w^3 + 10*w^2 + 9*w - 23]', '[2402, 2402, w^3 - w^2 - 9*w - 2]', '[2404, 2404, -2*w^3 + 6*w^2 - w - 8]', '[2405, 2405, -4*w^3 + 13*w^2 + 7*w - 29]', '[2405, 2405, -3*w^3 + 6*w^2 + 8*w + 3]', '[2414, 2414, -3*w^3 + 10*w^2 + 7*w - 14]', '[2414, 2414, 4*w^2 - 7*w - 6]', '[2417, 2417, -3*w^3 + 9*w^2 + 5*w - 21]', '[2417, 2417, -2*w^3 + 5*w^2 + 9*w - 1]', '[2419, 2419, -5*w^3 + 11*w^2 + 17*w - 17]', '[2420, 220, -5*w^3 + 16*w^2 + 9*w - 32]', '[2420, 220, 6*w^3 - 18*w^2 - 13*w + 40]', '[2420, 220, -5*w^3 + 14*w^2 + 6*w - 4]', '[2420, 220, 2*w^3 - w^2 - 9*w - 8]', '[2423, 2423, -w^3 + 4*w^2 - 2*w - 11]', '[2425, 485, 2*w^3 - 13*w - 15]', '[2425, 485, 3*w^3 - 4*w^2 - 12*w - 7]', '[2425, 2425, -3*w^2 + 8*w + 11]', '[2425, 2425, 4*w^3 - 10*w^2 - 9*w - 1]', '[2426, 2426, 4*w^3 - 13*w^2 - w + 14]', '[2426, 2426, w^3 - 6*w^2 + 8*w + 6]', '[2428, 2428, -6*w^3 + 15*w^2 + 13*w]', '[2428, 2428, 2*w^3 - 7*w^2 - 4*w + 4]', '[2434, 2434, 3*w^3 - 12*w^2 + 6*w + 10]', '[2435, 2435, 4*w^3 - 13*w^2 - 4*w + 11]', '[2435, 2435, -3*w^3 + 9*w^2 + 3*w - 13]', '[2435, 2435, -5*w^3 + 17*w^2 + 13*w - 29]', '[2435, 2435, 2*w^3 - 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30]', '[5630, 5630, -6*w^3 + 16*w^2 + 15*w - 22]', '[5630, 5630, -w^3 + 4*w^2 - 7*w + 6]', '[5635, 805, 6*w^2 - w - 11]', '[5635, 805, -2*w^3 - w^2 + 12*w + 7]', '[5635, 805, 3*w^3 - 11*w^2 - 5*w + 5]', '[5635, 805, 4*w^3 - 10*w^2 - 12*w + 7]', '[5636, 5636, 5*w^2 - 9*w - 16]', '[5639, 5639, -w^3 + 3*w^2 + 4*w - 15]', '[5641, 5641, 6*w - 1]', '[5644, 5644, 5*w^3 - 10*w^2 - 20*w + 12]', '[5645, 5645, -6*w^3 + 6*w^2 + 32*w + 27]', '[5645, 5645, 2*w^3 - 9*w^2 + w + 13]', '[5645, 5645, -w^3 + 3*w^2 + w - 13]', '[5645, 5645, -10*w^3 + 26*w^2 + 33*w - 45]', '[5648, 706, -6*w^3 + 14*w^2 + 18*w - 22]', '[5648, 5648, -w^3 + 7*w^2 - 2*w - 24]', '[5650, 1130, -3*w^3 + 8*w^2 + 9*w - 2]', '[5650, 1130, -4*w^3 + 9*w^2 + 16*w - 6]', '[5650, 5650, -6*w^3 + 17*w^2 + 8*w - 10]', '[5650, 5650, w^3 + w^2 - 10*w - 2]', '[5651, 5651, 2*w^3 - 9*w^2 - 2*w + 21]', '[5657, 5657, -w^3 + 4*w^2 + 4*w - 15]', '[5669, 5669, 5*w^2 - 3*w - 13]', '[5672, 1418, 5*w^3 - 16*w^2 - 11*w + 29]', '[5672, 5672, 4*w^3 - 8*w^2 - 17*w + 12]', '[5680, 710, 8*w^3 - 20*w^2 - 16*w + 2]', '[5680, 710, -6*w + 2]', '[5680, 710, 4*w^3 - 14*w^2 + 18]', '[5680, 710, -10*w^3 + 26*w^2 + 26*w - 46]', '[5680, 5680, w^3 - 5*w^2 + 5*w + 12]', '[5680, 5680, 5*w^3 - 19*w^2 + 6*w + 8]', '[5680, 5680, -5*w^3 + 15*w^2 + 16*w - 32]', '[5680, 5680, 11*w^3 - 41*w^2 + 7*w + 36]', '[5683, 5683, -4*w^3 + 11*w^2 + 7*w - 19]', '[5683, 5683, 3*w^3 - 5*w^2 - 15*w + 7]', '[5686, 5686, 10*w^3 - 35*w^2 + 3*w + 22]', '[5686, 5686, 17*w^3 - 54*w^2 - 10*w + 34]', '[5690, 5690, 3*w^3 - 9*w^2 - 4*w + 22]', '[5690, 5690, 2*w^2 + w - 10]', '[5692, 5692, 4*w^3 - 15*w^2 + 2*w + 20]', '[5692, 5692, 3*w^3 - 12*w^2 + 7*w + 8]', '[5692, 5692, w^3 + w^2 - 2*w + 4]', '[5692, 5692, 7*w^3 - 23*w^2 - 2*w + 12]', '[5693, 5693, 2*w^3 - 5*w^2 - 4*w - 5]', '[5693, 5693, 10*w^3 - 34*w^2 - 3*w + 29]', '[5695, 5695, -2*w^3 + 5*w^2 + w - 11]', '[5695, 5695, -6*w^3 + 23*w^2 - 3*w - 21]', '[5699, 5699, -3*w^3 + 7*w^2 + 15*w - 5]', '[5701, 5701, 2*w^3 - 2*w^2 - 7*w - 7]', '[5701, 5701, -w^3 - 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15]', '[431, 431, -3*w^3 + 6*w^2 + 10*w - 9]', '[431, 431, -3*w^3 + 11*w^2 + 10*w - 19]', '[443, 443, 3*w^3 - 6*w^2 - 8*w + 13]', '[443, 443, -2*w^3 + 5*w^2 + 4*w - 5]', '[443, 443, -2*w^3 + 5*w^2 + 6*w - 3]', '[443, 443, 5*w^3 - 12*w^2 - 16*w + 19]', '[461, 461, w^3 - 2*w^2 + 7]', '[461, 461, -3*w^2 + w + 7]', '[479, 479, w^2 + w - 5]', '[487, 487, 2*w^2 - 4*w + 1]', '[487, 487, 2*w^3 - 8*w^2 + 4*w + 7]', '[491, 491, -3*w^3 + 7*w^2 + 7*w - 1]', '[509, 509, -2*w^3 + 9*w^2 + 5*w - 19]', '[509, 509, -3*w^3 + 6*w^2 + 10*w + 1]', '[521, 521, w^3 - 2*w^2 - 6*w + 3]', '[521, 521, 3*w - 5]', '[523, 523, -w^3 + 5*w^2 + 4*w - 7]', '[523, 523, -2*w^3 + 4*w^2 + 6*w - 1]', '[523, 523, w^2 - 7]', '[523, 523, -2*w^3 + 8*w^2 + 8*w - 13]', '[541, 541, -w^3 + 5*w^2 - w - 13]', '[547, 547, -2*w^3 + 7*w^2 + 3*w - 11]', '[547, 547, -w^3 + 4*w^2 + 2*w - 13]', '[547, 547, -2*w^3 + 2*w^2 + 6*w - 1]', '[547, 547, -w^3 + 6*w^2 - 6*w - 7]', '[563, 563, 2*w^2 - 5*w - 1]', '[563, 563, w^2 - 2*w + 3]', '[569, 569, -2*w - 5]', '[571, 571, -2*w^3 + 6*w^2 + 3*w - 11]', '[577, 577, -w^3 + 3*w^2 - 7]', '[593, 593, w^3 - w^2 - 5*w + 3]', '[601, 601, 2*w^3 - 6*w^2 - 4*w + 5]', '[607, 607, -6*w^2 + 15*w + 13]', '[607, 607, -w^3 + 4*w^2 - 2*w - 7]', '[613, 613, -2*w^3 + 6*w^2 + 2*w - 9]', '[617, 617, -3*w^3 + 9*w^2 + 5*w - 9]', '[617, 617, 3*w^3 - 6*w^2 - 12*w + 7]', '[619, 619, -2*w^3 + 8*w^2 + 7*w - 13]', '[619, 619, 2*w^3 - 4*w^2 - 5*w + 1]', '[641, 641, 2*w^3 - w^2 - 6*w + 1]', '[641, 641, -2*w^3 + 4*w^2 + 8*w - 7]', '[641, 641, -2*w^3 + 7*w^2 + 4*w - 13]', '[641, 641, -2*w^3 + 3*w^2 + 7*w - 1]', '[647, 647, -2*w^3 + 7*w^2 + 8*w - 11]', '[647, 647, -2*w^3 + 4*w^2 + 6*w - 3]', '[653, 653, -4*w^2 + 3*w + 13]', '[653, 653, 3*w^3 - 7*w^2 - 11*w + 7]', '[659, 659, -5*w^3 + 14*w^2 + 16*w - 25]', '[659, 659, -4*w^3 + 13*w^2 + 11*w - 25]', '[673, 673, 2*w^3 - 7*w^2 - 6*w + 15]', '[677, 677, 3*w^3 - 8*w^2 - 6*w + 11]', '[677, 677, w^3 - 5*w^2 + 2*w + 9]', '[683, 683, 2*w^2 - 5*w - 9]', '[683, 683, w^3 - w^2 - 4*w - 7]', '[709, 709, -2*w^3 + 6*w^2 + 4*w - 3]', '[733, 733, -2*w^3 + 5*w^2 + 3*w + 1]', '[733, 733, 2*w^3 - 2*w^2 - 9*w - 1]', '[739, 739, -w - 5]', '[751, 751, 3*w^3 - 7*w^2 - 7*w + 11]', '[757, 757, -2*w^3 + 3*w^2 + 8*w - 3]', '[757, 757, 2*w^3 - 3*w^2 - 12*w - 3]', '[761, 761, -3*w^3 + 7*w^2 + 12*w - 11]', '[761, 761, -3*w^3 + 9*w^2 + 6*w - 11]', '[787, 787, -3*w^3 + 5*w^2 + 12*w + 3]', '[787, 787, w^2 - w - 9]', '[797, 797, -3*w^3 + 7*w^2 + 6*w - 17]', '[827, 827, -2*w^3 + 4*w^2 + 9*w - 11]', '[827, 827, -6*w^3 + 17*w^2 + 19*w - 29]', '[853, 853, -3*w^3 + 10*w^2 + 6*w - 21]', '[857, 857, 3*w^3 - 12*w^2 + 4*w + 9]', '[857, 857, -3*w^3 + 9*w^2 + 4*w - 13]', '[863, 863, -3*w^3 + 10*w^2 + 4*w - 15]', '[863, 863, -4*w^2 + w + 11]', '[877, 877, -2*w^3 + 4*w^2 + 8*w - 9]', '[881, 881, -2*w^3 + 4*w^2 + 5*w - 3]', '[907, 907, -w^3 + 5*w^2 - 2*w - 15]', '[907, 907, -2*w^3 + 6*w^2 + 7*w - 15]', '[929, 929, -w^2 + 11]', '[929, 929, -2*w^3 + 6*w^2 + 3*w - 13]', '[937, 937, -3*w^3 + 7*w^2 + 8*w - 3]', '[941, 941, w^3 + w^2 - 8*w - 5]', '[953, 953, 4*w^2 - 8*w - 13]', '[953, 953, w^3 - 4*w^2 - 4*w + 3]', '[967, 967, 3*w^2 - 5*w - 9]', '[971, 971, 3*w^2 - 4*w - 7]', '[971, 971, w^3 - 5*w^2 - 4*w + 11]', '[977, 977, -3*w^3 + 11*w^2 + 6*w - 25]', '[983, 983, -2*w^3 + 8*w^2 + 3*w - 21]', '[991, 991, 2*w^3 - 4*w^2 - 10*w + 3]', '[991, 991, 2*w^3 - 8*w^2 - 3*w + 19]', '[997, 997, -4*w^3 + 10*w^2 + 11*w - 21]']}
• 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': [4, 3, -5, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 17417, 'disc_rad': 17417, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [[4, 1]]], [5, [[2, 1], [1, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[3, 1], [1, 1]]], [17, [[3, 1], [1, 1]]], [19, [[4, 1]]], [23, [[3, 1], [1, 1]]], [29, [[4, 1]]], [31, [[4, 1]]], [37, [[3, 1], [1, 1]]], [41, [[3, 1], [1, 1]]], [43, [[4, 1]]], [47, [[2, 2]]], [53, [[4, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '4T5', 'galt': 5, 'grd': 131.97348218486925, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.17417.1', 'local_algs': ['m17417.1.1.0', 'm17417.1.1.0', 'm17417.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [17417], 'rd': 11.4879711953, 'regulator': {'__RealLiteral__': 0, 'data': '11.0297540098', 'prec': 44}, 'res': {'gal': ['-7104857,541230878,970568429,-2529129614,-3248450651,4658507748,3705206704,-4450013504,-1889348486,2378106518,425977719,-730948894,-20282386,131905418,-8670071,-14084634,1763909,882278,-146011,-31254,6114,568,-126,-4,1'], 'sib': ['-200,-3648,-3906,8031,6075,-4527,-3090,870,617,-51,-47,0,1', '-33187,473874,-193653,-508960,129297,140458,-30849,-13094,2537,480,-85,-6,1', '-9,0,26,0,-13,0,1', '1077004,427217,-408720,-36738,17730,764,-250,-4,1', '567,1527,929,-65,-87,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)', '\\( a - 1 \\)', '\\( 2 a^{3} - 6 a^{2} - 6 a + 11 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}