Hilbert modular form data - 4.4.9792.1-1.1-a

Formats: - HTML - YAML - JSON - 2024-05-19T23:10:08.583506

• 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': 4, 'disc': 9792, 'field_bad_primes': [2, 3, 17], 'field_label': '4.4.9792.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '4.4.9792.1-1.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [], 'level_ideal': '[1, 1, 1]', 'level_label': '1.1', 'level_norm': 1, 'parallel_weight': 2, 'short_label': '1.1-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [], 'hecke_eigenvalues': ['1/14*e^3 - 3/14*e^2 - 12/7*e + 20/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '1/14*e^3 - 3/14*e^2 - 19/7*e + 20/7', '-1/2*e^2 + e + 8', '1/28*e^3 + 1/7*e^2 - 13/7*e - 18/7', '1/28*e^3 + 1/7*e^2 - 13/7*e - 18/7', '-1/7*e^3 + 3/7*e^2 + 38/7*e - 40/7', '-1/7*e^3 + 3/7*e^2 + 38/7*e - 40/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '-3/28*e^3 + 4/7*e^2 + 25/7*e - 58/7', '-3/28*e^3 + 4/7*e^2 + 25/7*e - 58/7', '3/14*e^3 - 9/14*e^2 - 36/7*e + 74/7', '1/14*e^3 - 5/7*e^2 - 12/7*e + 76/7', '1/14*e^3 - 5/7*e^2 - 12/7*e + 76/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 58/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 58/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '-1/14*e^3 - 11/14*e^2 + 33/7*e + 92/7', '-1/14*e^3 - 11/14*e^2 + 33/7*e + 92/7', '5/14*e^3 - 15/14*e^2 - 95/7*e + 100/7', '-1/7*e^3 + 13/14*e^2 + 31/7*e - 96/7', '5/14*e^3 - 15/14*e^2 - 95/7*e + 100/7', '-1/7*e^3 + 13/14*e^2 + 31/7*e - 96/7', '1/14*e^3 + 2/7*e^2 - 26/7*e - 36/7', '1/14*e^3 + 2/7*e^2 - 26/7*e - 36/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '1/2*e^3 - 3/2*e^2 - 12*e + 14', '1/2*e^3 - 3/2*e^2 - 12*e + 14', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 142/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 142/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e + 26/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 30/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 30/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e + 26/7', '9/28*e^3 - 5/7*e^2 - 89/7*e + 62/7', '9/28*e^3 - 5/7*e^2 - 89/7*e + 62/7', '1/7*e^3 - 3/7*e^2 - 24/7*e - 30/7', '1/7*e^3 - 3/7*e^2 - 24/7*e - 30/7', '5/28*e^3 - 2/7*e^2 - 51/7*e + 22/7', '5/28*e^3 - 2/7*e^2 - 51/7*e + 22/7', '5/28*e^3 - 2/7*e^2 - 51/7*e + 22/7', '5/28*e^3 - 2/7*e^2 - 51/7*e + 22/7', '1/14*e^3 + 9/7*e^2 - 40/7*e - 148/7', '1/14*e^3 + 9/7*e^2 - 40/7*e - 148/7', 0, 0, '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '1/2*e^3 - 3/2*e^2 - 12*e + 26', '1/2*e^3 - 3/2*e^2 - 12*e + 26', '1/28*e^3 + 1/7*e^2 - 13/7*e - 18/7', '1/28*e^3 + 1/7*e^2 - 13/7*e - 18/7', '-1/2*e^2 + e + 8', '-1/2*e^2 + e + 8', '3/14*e^3 - 8/7*e^2 - 50/7*e + 116/7', '3/14*e^3 - 8/7*e^2 - 50/7*e + 116/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 174/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 174/7', '4/7*e^3 - 12/7*e^2 - 96/7*e + 90/7', '4/7*e^3 - 12/7*e^2 - 96/7*e + 90/7', '1/7*e^3 + 1/14*e^2 - 45/7*e - 16/7', '-11/28*e^3 + 10/7*e^2 + 101/7*e - 138/7', '1/7*e^3 + 1/14*e^2 - 45/7*e - 16/7', '-11/28*e^3 + 10/7*e^2 + 101/7*e - 138/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '1/14*e^3 - 3/14*e^2 - 12/7*e - 22/7', '3/14*e^3 - 9/14*e^2 - 36/7*e - 10/7', '3/14*e^3 - 9/14*e^2 - 36/7*e - 10/7', '-3/14*e^3 + 1/7*e^2 + 64/7*e - 4/7', '-3/14*e^3 + 1/7*e^2 + 64/7*e - 4/7', '2/7*e^3 - 13/7*e^2 - 62/7*e + 192/7', '2/7*e^3 - 13/7*e^2 - 62/7*e + 192/7', '5/14*e^3 - 15/14*e^2 - 95/7*e + 100/7', '5/14*e^3 - 15/14*e^2 - 95/7*e + 100/7', '-e^2 + 2*e + 16', '-e^2 + 2*e + 16', '-2/7*e^3 + 6/7*e^2 + 48/7*e + 18/7', '-2/7*e^3 + 6/7*e^2 + 48/7*e + 18/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '1/14*e^3 - 3/14*e^2 - 19/7*e + 20/7', '1/14*e^3 - 3/14*e^2 - 19/7*e + 20/7', '-11/14*e^3 + 33/14*e^2 + 132/7*e - 94/7', '-1/7*e^3 + 3/7*e^2 + 24/7*e + 2/7', '-11/14*e^3 + 33/14*e^2 + 132/7*e - 94/7', '-1/7*e^3 + 3/7*e^2 + 24/7*e + 2/7', '3/14*e^3 - 15/7*e^2 - 36/7*e + 228/7', '3/14*e^3 - 15/7*e^2 - 36/7*e + 228/7', '9/14*e^3 - 27/14*e^2 - 108/7*e + 278/7', '9/14*e^3 - 27/14*e^2 - 108/7*e + 278/7', '-3/7*e^3 + 2/7*e^2 + 128/7*e - 8/7', '-3/7*e^3 + 2/7*e^2 + 128/7*e - 8/7', '5/7*e^3 - 23/14*e^2 - 197/7*e + 144/7', '5/7*e^3 - 23/14*e^2 - 197/7*e + 144/7', '-1/2*e^3 + 3/2*e^2 + 12*e + 6', '-5/14*e^3 + 18/7*e^2 + 74/7*e - 268/7', '-5/14*e^3 + 18/7*e^2 + 74/7*e - 268/7', '1/7*e^3 + 4/7*e^2 - 52/7*e - 72/7', '1/7*e^3 + 4/7*e^2 - 52/7*e - 72/7', '-5/7*e^3 + 15/7*e^2 + 120/7*e - 102/7', '-5/7*e^3 + 15/7*e^2 + 120/7*e - 102/7', '-13/14*e^3 + 39/14*e^2 + 156/7*e - 246/7', '-13/14*e^3 + 39/14*e^2 + 156/7*e - 246/7', '5/28*e^3 + 5/7*e^2 - 65/7*e - 90/7', '5/28*e^3 + 5/7*e^2 - 65/7*e - 90/7', '-6/7*e^3 + 18/7*e^2 + 144/7*e - 58/7', '3/14*e^3 - 9/14*e^2 - 36/7*e - 10/7', '3/14*e^3 - 9/14*e^2 - 36/7*e - 10/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 114/7', '-15/28*e^3 + 13/7*e^2 + 139/7*e - 178/7', '-15/28*e^3 + 13/7*e^2 + 139/7*e - 178/7', '1/7*e^3 - 3/7*e^2 - 24/7*e + 222/7', '1/7*e^3 - 3/7*e^2 - 24/7*e + 222/7', '5/14*e^3 - 18/7*e^2 - 74/7*e + 268/7', '5/14*e^3 - 18/7*e^2 - 74/7*e + 268/7', '13/14*e^3 - 39/14*e^2 - 156/7*e + 50/7', '-1/2*e^3 + 3/2*e^2 + 12*e + 6', '-1/2*e^3 + 3/2*e^2 + 12*e + 6', '13/14*e^3 - 39/14*e^2 - 156/7*e + 50/7', '-2/7*e^3 - 1/7*e^2 + 90/7*e + 32/7', '-2/7*e^3 - 1/7*e^2 + 90/7*e + 32/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e + 26/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e + 26/7', '-3/28*e^3 + 18/7*e^2 - 3/7*e - 282/7', '-1/4*e^3 + 11*e + 2', '-3/28*e^3 + 18/7*e^2 - 3/7*e - 282/7', '-1/4*e^3 + 11*e + 2', '-15/28*e^3 + 6/7*e^2 + 153/7*e - 66/7', '-15/28*e^3 + 6/7*e^2 + 153/7*e - 66/7', '-1/2*e^3 + 3/2*e^2 + 12*e - 30', '-1/2*e^3 + 3/2*e^2 + 12*e - 30', '-3/14*e^3 + 15/7*e^2 + 36/7*e - 228/7', '-3/14*e^3 + 15/7*e^2 + 36/7*e - 228/7', '-1/7*e^3 + 41/14*e^2 + 3/7*e - 320/7', '-1/7*e^3 + 41/14*e^2 + 3/7*e - 320/7', '-5/14*e^3 + 18/7*e^2 + 74/7*e - 268/7', '-5/14*e^3 + 18/7*e^2 + 74/7*e - 268/7', '-3/7*e^3 + 9/7*e^2 + 114/7*e - 120/7', '-3/7*e^3 + 9/7*e^2 + 114/7*e - 120/7', '1/7*e^3 + 1/14*e^2 - 45/7*e - 16/7', '1/7*e^3 + 1/14*e^2 - 45/7*e - 16/7', '-1/7*e^3 - 11/7*e^2 + 66/7*e + 184/7', '-1/7*e^3 - 11/7*e^2 + 66/7*e + 184/7', '6/7*e^3 - 18/7*e^2 - 228/7*e + 240/7', '6/7*e^3 - 18/7*e^2 - 228/7*e + 240/7', '3/14*e^3 - 9/14*e^2 - 36/7*e + 158/7', '-19/14*e^3 + 57/14*e^2 + 228/7*e - 282/7', '-19/14*e^3 + 57/14*e^2 + 228/7*e - 282/7', '3/14*e^3 - 9/14*e^2 - 36/7*e + 158/7', '-1/7*e^3 + 13/14*e^2 + 31/7*e - 96/7', '-1/7*e^3 + 13/14*e^2 + 31/7*e - 96/7', '-9/14*e^3 + 27/14*e^2 + 108/7*e + 170/7', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '-3/14*e^3 + 9/14*e^2 + 36/7*e + 122/7', '-3/14*e^3 + 9/14*e^2 + 36/7*e + 122/7', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '-9/14*e^3 + 10/7*e^2 + 178/7*e - 124/7', '-9/14*e^3 + 10/7*e^2 + 178/7*e - 124/7', '1/14*e^3 - 3/14*e^2 - 12/7*e + 230/7', '1/14*e^3 - 3/14*e^2 - 12/7*e + 230/7', '5/7*e^3 - 15/7*e^2 - 120/7*e - 10/7', '5/7*e^3 - 15/7*e^2 - 120/7*e - 10/7', '-13/14*e^3 + 16/7*e^2 + 254/7*e - 204/7', '-13/14*e^3 + 16/7*e^2 + 254/7*e - 204/7', '5/7*e^3 - 15/7*e^2 - 120/7*e + 158/7', '5/7*e^3 - 15/7*e^2 - 120/7*e + 158/7', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '-1/2*e^3 + 3/2*e^2 + 12*e - 18', '-2/7*e^3 + 33/14*e^2 + 55/7*e - 248/7', '-2/7*e^3 + 33/14*e^2 + 55/7*e - 248/7', '1/2*e^3 - 3/2*e^2 - 12*e + 26', '15/14*e^3 - 45/14*e^2 - 180/7*e + 62/7', '15/14*e^3 - 45/14*e^2 - 180/7*e + 62/7', '1/2*e^3 - 3/2*e^2 - 12*e + 26', '-2/7*e^3 + 6/7*e^2 + 76/7*e - 80/7', '-2/7*e^3 + 6/7*e^2 + 76/7*e - 80/7', '-3/14*e^3 + 15/7*e^2 + 36/7*e - 228/7', '-3/14*e^3 + 15/7*e^2 + 36/7*e - 228/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 6/7', '-1/7*e^3 - 11/7*e^2 + 66/7*e + 184/7', '-1/7*e^3 - 11/7*e^2 + 66/7*e + 184/7', '17/14*e^3 - 51/14*e^2 - 204/7*e + 354/7', '17/14*e^3 - 51/14*e^2 - 204/7*e + 354/7', '-3/28*e^3 + 11/7*e^2 + 11/7*e - 170/7', '-3/28*e^3 + 11/7*e^2 + 11/7*e - 170/7', '1/2*e^3 - 3/2*e^2 - 12*e - 34', '1/2*e^3 - 3/2*e^2 - 12*e - 34', '11/14*e^3 - 19/14*e^2 - 223/7*e + 108/7', '11/14*e^3 - 19/14*e^2 - 223/7*e + 108/7', '-1/14*e^3 - 16/7*e^2 + 54/7*e + 260/7', '-5/14*e^3 + 25/7*e^2 + 60/7*e - 380/7', '-5/14*e^3 + 25/7*e^2 + 60/7*e - 380/7', '-1/14*e^3 - 16/7*e^2 + 54/7*e + 260/7', '9/14*e^3 - 27/14*e^2 - 108/7*e - 58/7', '9/14*e^3 - 27/14*e^2 - 108/7*e - 58/7', '5/28*e^3 - 23/7*e^2 - 9/7*e + 358/7', '5/28*e^3 - 23/7*e^2 - 9/7*e + 358/7', '-1/7*e^3 + 3/7*e^2 + 24/7*e + 338/7', '-1/7*e^3 + 3/7*e^2 + 24/7*e + 338/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 198/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 198/7', '-4/7*e^3 + 5/7*e^2 + 166/7*e - 48/7', '-4/7*e^3 + 5/7*e^2 + 166/7*e - 48/7', '-e^3 + 3*e^2 + 24*e - 34', '-e^3 + 3*e^2 + 24*e - 34', '5/7*e^3 - 22/7*e^2 - 176/7*e + 312/7', '5/7*e^3 - 22/7*e^2 - 176/7*e + 312/7', '5/14*e^3 - 15/14*e^2 - 60/7*e - 54/7', '5/14*e^3 - 15/14*e^2 - 60/7*e - 54/7', '-1/2*e^3 - 1/2*e^2 + 23*e + 12', '5/28*e^3 + 5/7*e^2 - 65/7*e - 90/7', '-1/2*e^3 - 1/2*e^2 + 23*e + 12', '5/28*e^3 + 5/7*e^2 - 65/7*e - 90/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 258/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e - 258/7', '-1/14*e^3 - 11/14*e^2 + 33/7*e + 92/7', '-1/14*e^3 - 11/14*e^2 + 33/7*e + 92/7', '-4/7*e^3 + 33/7*e^2 + 110/7*e - 496/7', '-4/7*e^3 + 33/7*e^2 + 110/7*e - 496/7', '-3/2*e^3 + 9/2*e^2 + 36*e - 34', '-3/2*e^3 + 9/2*e^2 + 36*e - 34', '5/14*e^3 - 15/14*e^2 - 60/7*e + 450/7', '5/14*e^3 - 15/14*e^2 - 60/7*e + 450/7', '-10/7*e^3 + 30/7*e^2 + 240/7*e - 358/7', '-10/7*e^3 + 30/7*e^2 + 240/7*e - 358/7', '-11/14*e^3 + 33/14*e^2 + 132/7*e - 346/7', '-3/14*e^3 + 9/14*e^2 + 36/7*e - 466/7', '-3/14*e^3 + 9/14*e^2 + 36/7*e - 466/7', '-11/14*e^3 + 33/14*e^2 + 132/7*e - 346/7', '-5/7*e^3 + 37/14*e^2 + 183/7*e - 256/7', '-5/7*e^3 + 37/14*e^2 + 183/7*e - 256/7', '4/7*e^3 - 26/7*e^2 - 124/7*e + 384/7', '4/7*e^3 - 26/7*e^2 - 124/7*e + 384/7', '-13/14*e^3 + 39/14*e^2 + 156/7*e + 6/7', '-13/14*e^3 + 39/14*e^2 + 156/7*e + 6/7', '9/14*e^3 + 1/14*e^2 - 199/7*e - 44/7', '9/14*e^3 + 1/14*e^2 - 199/7*e - 44/7', '13/14*e^3 - 16/7*e^2 - 254/7*e + 204/7', '-11/14*e^3 - 1/7*e^2 + 244/7*e + 60/7', '13/14*e^3 - 16/7*e^2 - 254/7*e + 204/7', '-11/14*e^3 - 1/7*e^2 + 244/7*e + 60/7', '-11/7*e^3 + 33/7*e^2 + 264/7*e - 258/7', '-11/7*e^3 + 33/7*e^2 + 264/7*e - 258/7', '13/14*e^3 - 39/14*e^2 - 156/7*e + 134/7', '13/14*e^3 - 39/14*e^2 - 156/7*e + 134/7', '-2/7*e^3 + 6/7*e^2 + 48/7*e + 438/7', '-3/7*e^3 + 53/14*e^2 + 79/7*e - 400/7', '-3/7*e^3 + 53/14*e^2 + 79/7*e - 400/7', '-1/4*e^3 - e^2 + 13*e + 18', '-1/4*e^3 - e^2 + 13*e + 18', '-8/7*e^3 + 69/14*e^2 + 283/7*e - 488/7', '-8/7*e^3 + 69/14*e^2 + 283/7*e - 488/7', '-3/7*e^3 + 9/7*e^2 + 72/7*e - 106/7', '-3/7*e^3 + 9/7*e^2 + 72/7*e - 106/7', '-10/7*e^3 + 30/7*e^2 + 240/7*e - 358/7', '-10/7*e^3 + 30/7*e^2 + 240/7*e - 358/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e + 246/7', '-1/14*e^3 + 3/14*e^2 + 12/7*e + 246/7', '17/14*e^3 - 51/14*e^2 - 204/7*e + 438/7', '17/14*e^3 - 51/14*e^2 - 204/7*e + 438/7', '-1/2*e^3 + 3/2*e^2 + 12*e + 6', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 142/7', '-1/2*e^3 + 3/2*e^2 + 12*e + 6', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 142/7', '4/7*e^3 - 12/7*e^2 - 96/7*e + 174/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 478/7', '-5/14*e^3 + 15/14*e^2 + 60/7*e - 478/7', '4/7*e^3 - 12/7*e^2 - 96/7*e + 174/7', '-3/14*e^3 + 9/14*e^2 + 36/7*e - 298/7', '-3/14*e^3 + 9/14*e^2 + 36/7*e - 298/7', '3/7*e^3 - 23/7*e^2 - 86/7*e + 344/7', '3/7*e^3 - 23/7*e^2 - 86/7*e + 344/7', '2/7*e^3 - 6/7*e^2 - 48/7*e - 46/7', '2/7*e^3 - 6/7*e^2 - 48/7*e - 46/7', '-2/7*e^3 - 15/7*e^2 + 118/7*e + 256/7', '2/7*e^3 - 20/7*e^2 - 48/7*e + 304/7', '-2/7*e^3 - 15/7*e^2 + 118/7*e + 256/7', '2/7*e^3 - 20/7*e^2 - 48/7*e + 304/7', '31/14*e^3 - 93/14*e^2 - 372/7*e + 410/7', '31/14*e^3 - 93/14*e^2 - 372/7*e + 410/7', '-5/4*e^3 + 5*e^2 + 45*e - 70', '-5/4*e^3 + 5*e^2 + 45*e - 70', '-1/4*e^3 + e^2 + 9*e - 14', '-1/4*e^3 + e^2 + 9*e - 14', '1/2*e^3 - 3/2*e^2 - 12*e - 34', '1/2*e^3 - 3/2*e^2 - 12*e - 34', '8/7*e^3 - 24/7*e^2 - 192/7*e - 142/7', '8/7*e^3 - 24/7*e^2 - 192/7*e - 142/7', '33/14*e^3 - 99/14*e^2 - 396/7*e + 338/7', '33/14*e^3 - 99/14*e^2 - 396/7*e + 338/7'], 'hecke_polynomial': 'x^4 - 4*x^3 - 28*x^2 + 64*x + 16', 'label': '4.4.9792.1-1.1-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 9792, 'ideals': ['[1, 1, 1]', '[4, 2, w^3 - 3*w^2 - 3*w + 4]', '[7, 7, w]', '[7, 7, w^3 - 3*w^2 - 4*w + 5]', '[9, 3, w^3 - 4*w^2 - w + 9]', '[16, 2, 2]', '[17, 17, 2*w^3 - 6*w^2 - 7*w + 8]', '[17, 17, -w^3 + 3*w^2 + 4*w - 3]', '[17, 17, -w + 2]', '[23, 23, 2*w^3 - 7*w^2 - 4*w + 12]', '[23, 23, -w^2 + 2*w + 3]', '[28, 14, -w^3 + 4*w^2 + 2*w - 7]', '[28, 14, 2*w^3 - 7*w^2 - 5*w + 13]', '[31, 31, -2*w^3 + 7*w^2 + 5*w - 12]', '[31, 31, -w^3 + 4*w^2 + 2*w - 8]', '[36, 6, w^3 - 2*w^2 - 6*w + 1]', '[41, 41, 3*w^3 - 10*w^2 - 7*w + 16]', '[41, 41, 2*w^3 - 7*w^2 - 5*w + 10]', '[49, 7, 2*w^3 - 6*w^2 - 6*w + 7]', '[49, 7, 2*w^3 - 6*w^2 - 6*w + 9]', '[49, 49, -w^2 + 2*w + 7]', '[49, 49, -2*w^3 + 7*w^2 + 4*w - 8]', '[63, 21, -2*w^3 + 6*w^2 + 7*w - 7]', '[63, 21, w^3 - 3*w^2 - 2*w + 2]', '[64, 4, 2*w^3 - 6*w^2 - 6*w + 8]', '[68, 34, w^3 - 4*w^2 - 2*w + 11]', '[68, 34, w^2 - w - 5]', '[68, 34, 3*w^3 - 10*w^2 - 8*w + 15]', '[71, 71, w^2 - 2*w - 2]', '[71, 71, 2*w^3 - 7*w^2 - 4*w + 13]', '[73, 73, 3*w^3 - 11*w^2 - 5*w + 19]', '[73, 73, -4*w^3 + 13*w^2 + 10*w - 17]', '[79, 79, 3*w^3 - 9*w^2 - 10*w + 13]', '[79, 79, -2*w^3 + 6*w^2 + 5*w - 8]', '[81, 3, 3]', '[92, 46, w^2 - 3*w - 1]', '[92, 46, -w^3 + 4*w^2 - 9]', '[97, 97, 2*w^3 - 6*w^2 - 8*w + 9]', '[97, 97, 2*w - 1]', '[112, 14, 2*w]', '[112, 14, 2*w^3 - 6*w^2 - 8*w + 10]', '[113, 113, 2*w^3 - 6*w^2 - 7*w + 6]', '[113, 113, -w^3 + 3*w^2 + 2*w - 1]', '[119, 119, -4*w^3 + 13*w^2 + 12*w - 21]', '[119, 119, -w^2 + 2*w]', '[119, 119, -2*w^3 + 7*w^2 + 4*w - 14]', '[119, 119, -2*w^3 + 7*w^2 + 4*w - 15]', '[119, 119, w^2 - 4]', '[119, 119, -w^2 + 2*w + 1]', '[124, 62, -w^3 + 3*w^2 + 5*w - 6]', '[124, 62, -w^3 + 3*w^2 + 5*w - 4]', '[137, 137, w^3 - 2*w^2 - 5*w + 2]', '[137, 137, 2*w^3 - 7*w^2 - 3*w + 12]', '[137, 137, -3*w^3 + 10*w^2 + 7*w - 17]', '[137, 137, -w^3 + 2*w^2 + 6*w - 2]', '[144, 6, 2*w^3 - 8*w^2 - 2*w + 18]', '[153, 51, w^3 - 3*w^2 - 5*w + 5]', '[153, 51, -4*w^3 + 13*w^2 + 10*w - 18]', '[153, 51, -2*w^3 + 5*w^2 + 8*w - 3]', '[161, 161, -3*w^3 + 10*w^2 + 8*w - 14]', '[161, 161, -w^3 + 4*w^2 - 10]', '[161, 161, -w^2 + 3*w]', '[161, 161, w^2 - w - 6]', '[164, 82, w^2 - 3*w + 1]', '[164, 82, -w^3 + 3*w^2 + w - 2]', '[167, 167, -2*w^3 + 7*w^2 + 6*w - 10]', '[167, 167, 3*w^3 - 9*w^2 - 10*w + 10]', '[169, 13, -2*w^3 + 7*w^2 + 2*w - 9]', '[169, 13, -2*w^3 + 5*w^2 + 10*w - 4]', '[193, 193, -2*w^3 + 8*w^2 + 3*w - 13]', '[193, 193, -3*w^3 + 11*w^2 + 6*w - 22]', '[196, 14, -w^3 + 3*w^2 + 3*w - 8]', '[196, 14, -w^3 + 3*w^2 + 3*w]', '[196, 98, 3*w^3 - 8*w^2 - 12*w + 7]', '[196, 98, 4*w^3 - 13*w^2 - 9*w + 17]', '[199, 199, 5*w^3 - 16*w^2 - 14*w + 26]', '[199, 199, w^3 - 2*w^2 - 7*w + 3]', '[207, 69, -w^3 + 4*w^2 + w - 3]', '[207, 69, w^3 - 4*w^2 - w + 12]', '[217, 217, -4*w^3 + 12*w^2 + 13*w - 19]', '[217, 217, 3*w^3 - 9*w^2 - 8*w + 14]', '[217, 217, 2*w^3 - 5*w^2 - 6*w + 7]', '[217, 217, -6*w^3 + 19*w^2 + 18*w - 32]', '[223, 223, -3*w^3 + 8*w^2 + 12*w - 8]', '[223, 223, 3*w^3 - 11*w^2 - 6*w + 17]', '[223, 223, 2*w^3 - 8*w^2 - 3*w + 18]', '[223, 223, -4*w^3 + 13*w^2 + 9*w - 18]', '[233, 233, -3*w^3 + 10*w^2 + 6*w - 16]', '[233, 233, -2*w^3 + 5*w^2 + 9*w - 6]', '[241, 241, -3*w^3 + 9*w^2 + 8*w - 10]', '[241, 241, 4*w^3 - 12*w^2 - 13*w + 15]', '[252, 42, w^2 - w - 7]', '[252, 42, -3*w^3 + 10*w^2 + 8*w - 13]', '[256, 4, 4]', '[257, 257, 2*w^3 - 8*w^2 - w + 16]', '[257, 257, 4*w^3 - 13*w^2 - 11*w + 18]', '[257, 257, -w^3 + 5*w^2 - 2*w - 9]', '[257, 257, -w^3 + 2*w^2 + 4*w + 2]', '[263, 263, 4*w^3 - 14*w^2 - 9*w + 27]', '[263, 263, 5*w^3 - 15*w^2 - 17*w + 25]', '[263, 263, -2*w^3 + 7*w^2 + 6*w - 16]', '[263, 263, -2*w^3 + 7*w^2 + 6*w - 9]', '[271, 271, -w - 4]', '[271, 271, -w^3 + 3*w^2 + 4*w - 9]', '[271, 271, 5*w^3 - 16*w^2 - 14*w + 24]', '[271, 271, -4*w^3 + 14*w^2 + 9*w - 24]', '[272, 34, 4*w^3 - 12*w^2 - 14*w + 16]', '[272, 34, -2*w^3 + 6*w^2 + 8*w - 6]', '[272, 34, -2*w + 4]', '[279, 93, -2*w^3 + 7*w^2 + 6*w - 17]', '[279, 93, -w^3 + 5*w^2 - 16]', '[281, 281, -2*w^3 + 6*w^2 + 5*w - 4]', '[281, 281, -3*w^3 + 9*w^2 + 10*w - 9]', '[281, 281, 3*w^3 - 10*w^2 - 8*w + 12]', '[281, 281, w^2 - w - 8]', '[284, 142, 2*w^3 - 7*w^2 - 3*w + 13]', '[284, 142, w^3 - 2*w^2 - 6*w + 3]', '[287, 287, 4*w^3 - 13*w^2 - 10*w + 22]', '[287, 287, 7*w^3 - 23*w^2 - 20*w + 38]', '[287, 287, -3*w^3 + 9*w^2 + 6*w - 14]', '[287, 287, -4*w^3 + 14*w^2 + 10*w - 21]', '[289, 17, -4*w^3 + 14*w^2 + 9*w - 23]', '[289, 17, -3*w^3 + 9*w^2 + 9*w - 13]', '[289, 17, -w^3 + 5*w^2 - 12]', '[289, 17, -3*w^3 + 9*w^2 + 9*w - 11]', '[289, 289, 4*w^3 - 14*w^2 - 10*w + 27]', '[289, 289, 2*w^3 - 8*w^2 - 4*w + 13]', '[292, 146, -w^3 + 5*w^2 - 3*w - 8]', '[292, 146, -3*w^3 + 10*w^2 + 6*w - 9]', '[311, 311, w^2 - 5]', '[311, 311, -4*w^3 + 13*w^2 + 12*w - 20]', '[313, 313, 6*w^3 - 19*w^2 - 18*w + 31]', '[313, 313, -2*w^3 + 5*w^2 + 6*w - 6]', '[316, 158, 2*w^3 - 7*w^2 - 5*w + 17]', '[316, 158, w^3 - 4*w^2 - 2*w + 3]', '[324, 6, 3*w^3 - 9*w^2 - 9*w + 12]', '[337, 337, 3*w^3 - 11*w^2 - 3*w + 15]', '[337, 337, w^3 - w^2 - 9*w - 5]', '[343, 7, 2*w^3 - 8*w^2 - 5*w + 14]', '[343, 7, -5*w^3 + 17*w^2 + 14*w - 31]', '[343, 49, -2*w^3 + 8*w^2 + 3*w - 14]', '[343, 49, 3*w^3 - 11*w^2 - 6*w + 21]', '[343, 343, -w^3 + 2*w^2 + 7*w]', '[343, 343, -w^3 + 4*w^2 - w - 5]', '[353, 353, -w^3 + 2*w^2 + 5*w - 4]', '[353, 353, w^3 - w^2 - 8*w - 3]', '[353, 353, 3*w^3 - 10*w^2 - 7*w + 19]', '[353, 353, -4*w^3 + 14*w^2 + 7*w - 22]', '[361, 19, -3*w^3 + 11*w^2 + 6*w - 18]', '[361, 19, 2*w^3 - 8*w^2 - 3*w + 17]', '[367, 367, -4*w^3 + 12*w^2 + 13*w - 18]', '[367, 367, 3*w^3 - 9*w^2 - 8*w + 13]', '[368, 46, 4*w^3 - 14*w^2 - 8*w + 24]', '[368, 46, -2*w^2 + 4*w + 6]', '[369, 123, w^3 - 3*w^2 - 5*w + 11]', '[369, 123, w^2 - 4*w - 1]', '[383, 383, 5*w^3 - 17*w^2 - 12*w + 30]', '[383, 383, 2*w^2 - 3*w - 5]', '[383, 383, 3*w^3 - 9*w^2 - 11*w + 11]', '[383, 383, -w^3 + 3*w^2 + w - 1]', '[388, 194, 3*w^3 - 11*w^2 - 7*w + 22]', '[388, 194, -3*w^3 + 11*w^2 + 7*w - 18]', '[391, 391, -w^3 + 2*w^2 + 7*w - 1]', '[391, 391, w^3 - 4*w^2 + w + 6]', '[391, 391, -w^3 + 6*w^2 - 3*w - 18]', '[391, 391, -3*w^3 + 9*w^2 + 8*w - 11]', '[391, 391, -5*w^3 + 18*w^2 + 9*w - 27]', '[391, 391, -4*w^3 + 12*w^2 + 13*w - 16]', '[401, 401, 3*w^3 - 11*w^2 - 8*w + 23]', '[401, 401, 4*w^3 - 14*w^2 - 11*w + 22]', '[431, 431, 2*w^3 - 5*w^2 - 10*w + 8]', '[431, 431, 6*w^3 - 20*w^2 - 15*w + 29]', '[433, 433, -4*w^3 + 12*w^2 + 13*w - 17]', '[433, 433, -3*w^3 + 9*w^2 + 8*w - 12]', '[433, 433, 3*w^3 - 11*w^2 - 6*w + 20]', '[433, 433, -2*w^3 + 8*w^2 + 3*w - 15]', '[439, 439, -3*w^3 + 11*w^2 + 6*w - 19]', '[439, 439, -2*w^3 + 8*w^2 + 3*w - 16]', '[441, 21, -3*w^3 + 8*w^2 + 13*w - 11]', '[441, 21, -4*w^3 + 14*w^2 + 9*w - 28]', '[441, 147, 2*w^3 - 7*w^2 - 3*w + 14]', '[441, 147, -w^3 + 2*w^2 + 6*w - 4]', '[448, 28, -2*w^3 + 8*w^2 + 4*w - 14]', '[448, 28, 4*w^3 - 14*w^2 - 10*w + 26]', '[449, 449, w^3 - 4*w^2 + w + 11]', '[449, 449, -w^3 + 2*w^2 + 7*w - 6]', '[452, 226, -w^3 + 2*w^2 + 4*w + 3]', '[452, 226, 4*w^3 - 13*w^2 - 11*w + 17]', '[457, 457, w^2 - 4*w - 3]', '[457, 457, 4*w^3 - 15*w^2 - 6*w + 27]', '[457, 457, w^2 - 4*w - 2]', '[457, 457, -2*w^3 + 6*w^2 + 8*w - 15]', '[476, 238, -3*w^3 + 10*w^2 + 10*w - 21]', '[476, 238, -4*w^3 + 13*w^2 + 9*w - 21]', '[476, 238, -2*w^3 + 5*w^2 + 9*w - 7]', '[476, 238, -3*w^3 + 8*w^2 + 12*w - 11]', '[476, 238, -2*w^3 + 7*w^2 + 7*w - 9]', '[476, 238, -3*w^3 + 10*w^2 + 6*w - 17]', '[479, 479, -4*w^3 + 14*w^2 + 9*w - 29]', '[479, 479, -w^3 + 5*w^2 - 6]', '[487, 487, -w^3 + 6*w^2 - 3*w - 16]', '[487, 487, -5*w^3 + 18*w^2 + 9*w - 29]', '[496, 62, -4*w^3 + 14*w^2 + 10*w - 24]', '[496, 62, -2*w^3 + 8*w^2 + 4*w - 16]', '[497, 497, w^3 - 2*w^2 - 2*w]', '[497, 497, w^3 - 4*w^2 - 3*w + 11]', '[497, 497, -3*w^3 + 10*w^2 + 9*w - 14]', '[497, 497, 6*w^3 - 19*w^2 - 19*w + 30]', '[503, 503, -2*w^3 + 7*w^2 + 8*w - 15]', '[503, 503, 4*w^3 - 13*w^2 - 14*w + 20]', '[511, 511, 6*w^3 - 21*w^2 - 13*w + 36]', '[511, 511, 7*w^3 - 22*w^2 - 21*w + 32]', '[511, 511, -5*w^3 + 18*w^2 + 9*w - 28]', '[511, 511, -5*w^3 + 16*w^2 + 13*w - 21]', '[521, 521, 3*w^3 - 10*w^2 - 9*w + 10]', '[521, 521, -2*w^3 + 7*w^2 + 3*w - 16]', '[527, 527, 2*w^3 - 4*w^2 - 9*w + 3]', '[527, 527, -4*w^3 + 13*w^2 + 10*w - 23]', '[527, 527, -5*w^3 + 15*w^2 + 18*w - 26]', '[527, 527, 2*w^3 - 5*w^2 - 8*w + 8]', '[527, 527, -4*w^3 + 11*w^2 + 16*w - 15]', '[527, 527, -7*w^3 + 23*w^2 + 18*w - 38]', '[529, 23, w^3 - 3*w^2 - 3*w + 9]', '[529, 23, w^3 - 3*w^2 - 3*w - 1]', '[529, 529, 4*w^3 - 14*w^2 - 10*w + 25]', '[529, 529, 2*w^3 - 8*w^2 - 4*w + 15]', '[548, 274, 2*w^3 - 7*w^2 - 3*w + 15]', '[548, 274, -w^3 + 5*w^2 - w - 8]', '[548, 274, -w^3 + 2*w^2 + 6*w - 5]', '[548, 274, -3*w^3 + 11*w^2 + 5*w - 22]', '[553, 553, -3*w^3 + 11*w^2 + 7*w - 21]', '[553, 553, -3*w^3 + 9*w^2 + 12*w - 14]', '[553, 553, 3*w - 1]', '[553, 553, -3*w^3 + 11*w^2 + 7*w - 19]', '[567, 21, 3*w]', '[567, 21, 3*w^3 - 9*w^2 - 12*w + 15]', '[576, 12, 2*w^3 - 4*w^2 - 12*w + 2]', '[599, 599, -4*w^3 + 12*w^2 + 14*w - 15]', '[599, 599, 2*w^3 - 6*w^2 - 4*w + 5]', '[599, 599, 4*w^3 - 13*w^2 - 12*w + 19]', '[599, 599, w^2 - 6]', '[601, 601, -4*w^3 + 12*w^2 + 11*w - 19]', '[601, 601, 5*w^3 - 15*w^2 - 16*w + 24]', '[607, 607, -w^3 + 4*w^2 + w - 13]', '[607, 607, -w^3 + 4*w^2 + w - 2]', '[612, 102, 3*w^3 - 11*w^2 - 7*w + 20]', '[612, 102, 2*w^3 - 7*w^2 - 3*w + 5]', '[612, 102, w^3 - 2*w^2 - 6*w - 5]', '[617, 617, -4*w^3 + 13*w^2 + 11*w - 16]', '[617, 617, 4*w^3 - 13*w^2 - 13*w + 20]', '[625, 5, -5]', '[631, 631, -3*w^3 + 8*w^2 + 11*w - 9]', '[631, 631, 5*w^3 - 16*w^2 - 13*w + 24]', '[631, 631, w^3 - 3*w^2 - 4*w - 1]', '[631, 631, w - 6]', '[639, 213, 4*w^3 - 11*w^2 - 15*w + 10]', '[639, 213, w^3 - 5*w^2 + 19]', '[641, 641, -3*w^3 + 12*w^2 + w - 17]', '[641, 641, w^3 - 6*w^2 + 5*w + 18]', '[644, 322, w^3 - 3*w^2 - w]', '[644, 322, -w^3 + w^2 + 7*w + 2]', '[644, 322, -5*w^3 + 17*w^2 + 11*w - 28]', '[644, 322, -3*w^3 + 9*w^2 + 11*w - 10]', '[656, 82, 6*w^3 - 20*w^2 - 14*w + 32]', '[656, 82, 4*w^3 - 14*w^2 - 10*w + 20]', '[657, 219, -2*w^3 + 4*w^2 + 9*w + 10]', '[657, 219, -w^3 + 7*w^2 - 8*w - 15]', '[668, 334, w^2 + w - 5]', '[668, 334, -w^3 + 2*w^2 + 4*w + 5]', '[673, 673, 4*w^3 - 15*w^2 - 6*w + 26]', '[673, 673, -2*w^3 + 9*w^2 - 19]', '[676, 26, -2*w^3 + 9*w^2 + w - 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6*w^2 - 10*w + 13]', '[1449, 483, -2*w^3 + 6*w^2 + 10*w - 7]', '[1449, 483, -2*w^3 + 9*w^2 + 4*w - 16]', '[1468, 734, -3*w^3 + 10*w^2 + 8*w - 23]', '[1468, 734, w^2 - w + 3]', '[1471, 1471, -w - 6]', '[1471, 1471, -w^3 + 3*w^2 + 4*w - 11]', '[1471, 1471, w^3 - 2*w^2 - 8*w + 4]', '[1471, 1471, w^2 - 5*w - 4]', '[1472, 92, 2*w^2 - 6*w - 2]', '[1472, 92, -2*w^3 + 8*w^2 - 18]', '[1476, 246, 9*w^3 - 29*w^2 - 25*w + 44]', '[1476, 246, 5*w^3 - 18*w^2 - 10*w + 31]', '[1489, 1489, -2*w^3 + 9*w^2 + 2*w - 17]', '[1489, 1489, -6*w^3 + 21*w^2 + 14*w - 38]', '[1503, 501, -2*w^3 + 5*w^2 + 11*w - 6]', '[1503, 501, 3*w^3 - 4*w^2 - 23*w - 8]', '[1519, 217, 5*w^3 - 18*w^2 - 10*w + 30]', '[1519, 217, -w^2 + 5*w]', '[1519, 217, -w^3 + 2*w^2 + 8*w]', '[1519, 217, -2*w^3 + 9*w^2 + w - 20]', '[1519, 1519, -3*w^3 + 12*w^2 + 5*w - 20]', '[1519, 1519, -2*w^3 + 10*w^2 - w - 28]', '[1519, 1519, -7*w^3 + 25*w^2 + 14*w - 37]', '[1519, 1519, -5*w^3 + 18*w^2 + 11*w - 35]', '[1521, 39, -8*w^3 + 19*w^2 + 39*w - 8]', '[1521, 39, 7*w^3 - 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25]', '[1564, 782, -2*w^3 + 3*w^2 + 15*w + 5]', '[1564, 782, 2*w^3 - 7*w^2 - 5*w + 5]', '[1564, 782, 5*w^3 - 18*w^2 - 6*w + 25]', '[1564, 782, -w^3 + 4*w^2 + 2*w - 15]', '[1567, 1567, -4*w^3 + 15*w^2 + 3*w - 20]', '[1567, 1567, w^3 - 12*w - 10]', '[1601, 1601, -3*w^3 + 10*w^2 + 10*w - 12]', '[1601, 1601, 2*w^3 - 7*w^2 - 7*w + 18]', '[1604, 802, 6*w^3 - 19*w^2 - 21*w + 29]', '[1604, 802, w^3 - 4*w^2 - 6*w + 11]', '[1607, 1607, -7*w^3 + 23*w^2 + 20*w - 36]', '[1607, 1607, -6*w^3 + 19*w^2 + 18*w - 26]', '[1607, 1607, 2*w^2 - w - 9]', '[1607, 1607, -2*w^3 + 5*w^2 + 6*w - 1]', '[1609, 1609, -4*w^3 + 15*w^2 + 8*w - 24]', '[1609, 1609, 4*w^3 - 15*w^2 - 8*w + 31]', '[1631, 1631, 4*w^3 - 15*w^2 - 10*w + 21]', '[1631, 1631, -6*w^3 + 21*w^2 + 16*w - 44]', '[1631, 1631, -6*w^3 + 20*w^2 + 17*w - 31]', '[1631, 1631, w^3 - 5*w^2 - 2*w + 14]', '[1633, 1633, -4*w^3 + 11*w^2 + 14*w - 10]', '[1633, 1633, 2*w^3 - 6*w^2 - 8*w + 1]', '[1633, 1633, -2*w + 9]', '[1633, 1633, 6*w^3 - 19*w^2 - 16*w + 25]', '[1649, 1649, -3*w^3 + 11*w^2 + 4*w - 27]', '[1649, 1649, -2*w^2 + 5*w - 2]', '[1649, 1649, -6*w^3 + 20*w^2 + 15*w - 36]', '[1649, 1649, 6*w^3 - 18*w^2 - 21*w + 32]', '[1649, 1649, 3*w^3 - 9*w^2 - 6*w + 17]', '[1649, 1649, 8*w^3 - 28*w^2 - 19*w + 58]', '[1663, 1663, -6*w^3 + 19*w^2 + 13*w - 26]', '[1663, 1663, -7*w^3 + 20*w^2 + 26*w - 26]', '[1679, 1679, -6*w^3 + 20*w^2 + 11*w - 17]', '[1679, 1679, -8*w^3 + 30*w^2 + 8*w - 41]', '[1679, 1679, -7*w^3 + 21*w^2 + 22*w - 20]', '[1679, 1679, -6*w^3 + 23*w^2 + 6*w - 40]', '[1681, 41, 5*w^3 - 15*w^2 - 15*w + 23]', '[1681, 41, -5*w^3 + 15*w^2 + 15*w - 17]', '[1681, 1681, 2*w^2 - 7*w - 3]', '[1681, 1681, -w^3 + 5*w^2 - 4*w - 12]', '[1687, 1687, -4*w^3 + 15*w^2 + 7*w - 28]', '[1687, 1687, 3*w^3 - 13*w^2 - 4*w + 21]', '[1687, 1687, 8*w^3 - 28*w^2 - 19*w + 54]', '[1687, 1687, -3*w^3 + 12*w^2 + 4*w - 22]', '[1697, 1697, -w^3 + 9*w + 6]', '[1697, 1697, -7*w^3 + 24*w^2 + 15*w - 39]', '[1721, 1721, -5*w^3 + 18*w^2 + 13*w - 38]', '[1721, 1721, -w^3 + 6*w^2 - 5*w - 20]', '[1721, 1721, -w^3 + w^2 + 6*w + 11]', '[1721, 1721, 6*w^3 - 20*w^2 - 15*w + 24]', '[1724, 862, 6*w^3 - 21*w^2 - 13*w + 39]', '[1724, 862, -2*w^3 + 7*w^2 + w - 3]', '[1732, 866, -2*w^3 + 7*w^2 + 5*w - 19]', '[1732, 866, w^3 - 4*w^2 - 2*w + 1]', '[1732, 866, w^3 - 2*w^2 - 8*w + 3]', '[1732, 866, -w^2 + 5*w + 3]', '[1737, 579, 3*w^3 - 8*w^2 - 10*w + 2]', '[1737, 579, -3*w^3 + 14*w^2 + w - 44]', '[1753, 1753, -3*w^3 + 9*w^2 + 13*w - 17]', '[1753, 1753, w^3 - 3*w^2 - 7*w + 3]', '[1753, 1753, -6*w^3 + 22*w^2 + 12*w - 45]', '[1753, 1753, -6*w^3 + 21*w^2 + 16*w - 40]', '[1756, 878, -w^2 + 5*w + 1]', '[1756, 878, -w^3 + 2*w^2 + 8*w - 1]', '[1759, 1759, -2*w^3 + 6*w^2 + w - 8]', '[1759, 1759, 7*w^3 - 21*w^2 - 26*w + 33]', '[1759, 1759, -3*w^3 + 10*w^2 + 10*w - 26]', '[1759, 1759, -5*w^3 + 17*w^2 + 12*w - 37]', '[1764, 42, -5*w^3 + 18*w^2 + 10*w - 37]', '[1764, 42, -5*w^3 + 14*w^2 + 20*w - 21]', '[1764, 294, w^3 - w^2 - 7*w]', '[1764, 294, -5*w^3 + 17*w^2 + 11*w - 30]', '[1783, 1783, -5*w^3 + 18*w^2 + 11*w - 29]', '[1783, 1783, 4*w^3 - 15*w^2 - 7*w + 26]', '[1783, 1783, 3*w^3 - 12*w^2 - 5*w + 26]', '[1783, 1783, -3*w^3 + 12*w^2 + 4*w - 24]', '[1791, 597, 7*w^3 - 21*w^2 - 26*w + 38]', '[1791, 597, 10*w^3 - 29*w^2 - 36*w + 34]', '[1792, 28, 4*w]', '[1792, 28, 4*w^3 - 12*w^2 - 16*w + 20]', '[1796, 898, w^3 - 8*w - 5]', '[1796, 898, -8*w^3 + 27*w^2 + 19*w - 45]', '[1799, 1799, 5*w^3 - 15*w^2 - 17*w + 17]', '[1799, 1799, -4*w^3 + 13*w^2 + 12*w - 14]', '[1799, 1799, 8*w^3 - 27*w^2 - 20*w + 48]', '[1799, 1799, -5*w^3 + 17*w^2 + 10*w - 28]', '[1799, 1799, -w^2 + 11]', '[1799, 1799, 2*w^3 - 4*w^2 - 11*w + 3]', '[1799, 1799, 3*w^3 - 9*w^2 - 7*w + 7]', '[1799, 1799, -3*w^2 + 4*w + 7]', '[1801, 1801, 8*w^3 - 24*w^2 - 27*w + 33]', '[1801, 1801, 4*w^3 - 12*w^2 - 16*w + 19]', '[1801, 1801, 4*w - 1]', '[1801, 1801, 7*w^3 - 21*w^2 - 23*w + 33]', '[1808, 226, 4*w^3 - 12*w^2 - 14*w + 12]', '[1808, 226, -2*w^3 + 6*w^2 + 4*w - 2]', '[1817, 1817, 5*w^3 - 14*w^2 - 18*w + 22]', '[1817, 1817, 4*w^3 - 13*w^2 - 15*w + 18]', '[1817, 1817, 3*w^3 - 10*w^2 - 12*w + 22]', '[1817, 1817, 6*w^3 - 19*w^2 - 15*w + 32]', '[1828, 914, 3*w^3 - 12*w^2 - 4*w + 23]', '[1828, 914, -w^3 + 6*w^2 - 6*w - 11]', '[1828, 914, 4*w^3 - 15*w^2 - 7*w + 27]', '[1828, 914, -9*w^3 + 29*w^2 + 25*w - 46]', '[1831, 1831, w^3 - 2*w^2 - 8*w + 2]', '[1831, 1831, w^2 - 5*w - 2]', '[1841, 1841, -6*w^3 + 19*w^2 + 19*w - 28]', '[1841, 1841, 17*w^3 - 56*w^2 - 51*w + 104]', '[1841, 1841, -11*w^3 + 34*w^2 + 37*w - 59]', '[1841, 1841, 3*w^3 - 8*w^2 - 5*w + 14]', '[1841, 1841, w^3 - 3*w^2 - 1]', '[1841, 1841, -5*w^3 + 18*w^2 + 15*w - 35]', '[1841, 1841, 3*w^3 - 8*w^2 - 12*w + 14]', '[1841, 1841, -4*w^3 + 13*w^2 + 9*w - 24]', '[1847, 1847, 6*w^3 - 20*w^2 - 15*w + 25]', '[1847, 1847, w^3 - w^2 - 6*w - 10]', '[1849, 43, -6*w^3 + 21*w^2 + 14*w - 37]', '[1849, 43, -2*w^3 + 9*w^2 + 2*w - 18]', '[1863, 69, 6*w^3 - 21*w^2 - 12*w + 36]', '[1863, 69, -3*w^2 + 6*w + 9]', '[1871, 1871, -4*w^3 + 13*w^2 + 8*w - 22]', '[1871, 1871, 4*w^3 - 13*w^2 - 12*w + 15]', '[1871, 1871, 4*w^3 - 11*w^2 - 16*w + 17]', '[1871, 1871, w^2 - 10]', '[1873, 1873, -w^3 + 5*w^2 - 20]', '[1873, 1873, -4*w^3 + 14*w^2 + 9*w - 15]', '[1897, 1897, w^3 - 3*w^2 - 7*w + 7]', '[1897, 1897, 12*w^3 - 40*w^2 - 33*w + 71]', '[1897, 1897, -11*w^3 + 35*w^2 + 33*w - 57]', '[1897, 1897, -3*w^3 + 9*w^2 + 13*w - 13]', '[1897, 1897, -6*w^3 + 21*w^2 + 14*w - 35]', '[1897, 1897, 6*w^3 - 19*w^2 - 16*w + 28]', '[1897, 1897, -w^2 - 4*w]', '[1897, 1897, -8*w^3 + 25*w^2 + 28*w - 45]', '[1904, 238, -8*w^3 + 26*w^2 + 24*w - 42]', '[1904, 238, -2*w^2 + 4*w]', '[1904, 238, -4*w^3 + 14*w^2 + 8*w - 28]', '[1904, 238, -4*w^3 + 14*w^2 + 8*w - 30]', '[1904, 238, 2*w^2 - 8]', '[1904, 238, -2*w^2 + 4*w + 2]', '[1913, 1913, -2*w^3 + 6*w^2 + 3*w - 4]', '[1913, 1913, 5*w^3 - 15*w^2 - 18*w + 19]', '[1913, 1913, 6*w^3 - 20*w^2 - 11*w + 30]', '[1913, 1913, 9*w^3 - 30*w^2 - 23*w + 45]', '[1916, 958, -6*w^3 + 17*w^2 + 23*w - 25]', '[1916, 958, 5*w^3 - 16*w^2 - 10*w + 25]', '[1921, 1921, w^3 - w^2 - 9*w - 11]', '[1921, 1921, -4*w^3 + 11*w^2 + 14*w - 11]', '[1921, 1921, -3*w^2 + 6*w + 20]', '[1921, 1921, 7*w^3 - 21*w^2 - 23*w + 27]', '[1921, 1921, 6*w^3 - 19*w^2 - 16*w + 26]', '[1921, 1921, -3*w^3 + 11*w^2 + 3*w - 9]', '[1948, 974, 3*w^2 - 9*w - 13]', '[1948, 974, 3*w^3 - 12*w^2 + 17]', '[1953, 651, 3*w^3 - 10*w^2 - 5*w + 19]', '[1953, 651, 3*w^3 - 8*w^2 - 13*w + 14]', '[1953, 651, 3*w^3 - 7*w^2 - 14*w + 7]', '[1953, 651, 6*w^3 - 20*w^2 - 13*w + 32]', '[1967, 1967, -4*w^3 + 13*w^2 + 6*w - 21]', '[1967, 1967, -6*w^3 + 17*w^2 + 24*w - 26]', '[1967, 1967, 2*w^3 - 9*w^2 + 14]', '[1967, 1967, 3*w^3 - 11*w^2 - 3*w + 21]', '[1967, 1967, 4*w^3 - 14*w^2 - 7*w + 25]', '[1967, 1967, w^3 - w^2 - 9*w + 1]', '[1967, 1967, -4*w^3 + 15*w^2 + 6*w - 31]', '[1967, 1967, w^3 - w^2 - 8*w]', '[1984, 124, -2*w^3 + 6*w^2 + 10*w - 12]', '[1984, 124, -2*w^3 + 6*w^2 + 10*w - 8]', '[1988, 994, -3*w^3 + 11*w^2 + 9*w - 14]', '[1988, 994, 5*w^3 - 16*w^2 - 16*w + 23]', '[1988, 994, w^2 + w - 7]', '[1988, 994, 5*w^3 - 17*w^2 - 15*w + 36]', '[1993, 1993, -8*w^3 + 28*w^2 + 17*w - 43]', '[1993, 1993, 4*w^3 - 13*w^2 - 16*w + 19]', '[1993, 1993, -6*w^3 + 21*w^2 + 14*w - 36]', '[1993, 1993, -2*w^3 + 9*w^2 + 2*w - 19]', '[1999, 1999, -7*w^3 + 22*w^2 + 20*w - 30]', '[1999, 1999, 4*w^3 - 11*w^2 - 13*w + 10]', '[2007, 669, -7*w^3 + 15*w^2 + 38*w - 2]', '[2007, 669, -2*w^3 + 6*w^2 + 4*w - 1]', '[2007, 669, 2*w^3 - 12*w^2 + 5*w + 43]', '[2007, 669, 2*w^3 - 9*w^2 + 2*w + 13]', '[2009, 287, -7*w^3 + 22*w^2 + 24*w - 34]', '[2009, 287, -3*w^3 + 12*w^2 + w - 14]', '[2009, 287, -4*w^3 + 13*w^2 + 7*w - 14]', '[2009, 287, 7*w^3 - 24*w^2 - 16*w + 32]', '[2009, 2009, 14*w^3 - 48*w^2 - 27*w + 68]', '[2009, 2009, 5*w^3 - 16*w^2 - 15*w + 21]', '[2009, 2009, 11*w^3 - 39*w^2 - 22*w + 53]', '[2009, 2009, 7*w^3 - 24*w^2 - 16*w + 42]', '[2012, 1006, -7*w^3 + 24*w^2 + 20*w - 39]', '[2012, 1006, -4*w^3 + 15*w^2 + 11*w - 31]', '[2017, 2017, 4*w^3 - 11*w^2 - 14*w + 12]', '[2017, 2017, -6*w^3 + 19*w^2 + 16*w - 27]', '[2023, 119, -7*w^3 + 24*w^2 + 18*w - 42]', '[2023, 119, 6*w^3 - 19*w^2 - 15*w + 28]', '[2023, 119, 3*w^3 - 12*w^2 - 5*w + 21]', '[2023, 119, 2*w^3 - 8*w^2 + w + 14]', '[2023, 119, w^3 - w^2 - 10*w - 1]', '[2023, 119, -5*w^3 + 14*w^2 + 18*w - 18]', '[2023, 119, 2*w^3 - 9*w^2 - 3*w + 18]', '[2023, 119, -5*w^3 + 18*w^2 + 11*w - 34]', '[2023, 2023, -w^3 + 2*w^2 + 5*w + 7]', '[2023, 2023, 6*w^3 - 19*w^2 - 15*w + 24]', '[2023, 2023, -5*w^3 + 14*w^2 + 18*w - 14]', '[2023, 2023, 3*w^3 - 10*w^2 - 7*w + 8]', '[2039, 2039, -w^3 + 5*w^2 + w - 17]', '[2039, 2039, 2*w^3 - 9*w^2 - 2*w + 26]', '[2039, 2039, -5*w^3 + 17*w^2 + 13*w - 23]', '[2039, 2039, -5*w^3 + 17*w^2 + 15*w - 37]', '[2044, 1022, w^3 - w^2 - 11*w + 4]', '[2044, 1022, 2*w^3 - 7*w^2 - 7*w + 23]', '[2044, 1022, 4*w^3 - 15*w^2 - 3*w + 21]', '[2044, 1022, 3*w^3 - 10*w^2 - 6*w + 7]', '[2063, 2063, 4*w^3 - 14*w^2 - 8*w + 29]', '[2063, 2063, 2*w^2 - 4*w - 1]', '[2081, 2081, w^3 - 3*w^2 + 2*w - 1]', '[2081, 2081, 6*w^3 - 18*w^2 - 23*w + 24]', '[2084, 1042, -4*w^3 + 11*w^2 + 11*w - 9]', '[2084, 1042, -3*w^3 + 7*w^2 + 13*w - 8]', '[2087, 2087, -6*w^3 + 19*w^2 + 14*w - 20]', '[2087, 2087, 2*w^2 - 6*w - 1]', '[2087, 2087, -2*w^3 + 8*w^2 - 19]', '[2087, 2087, 6*w^3 - 17*w^2 - 22*w + 15]', '[2097, 699, w^3 - 3*w^2 - 2*w - 4]', '[2097, 699, -8*w^3 + 21*w^2 + 34*w - 19]', '[2108, 1054, 2*w^3 - 7*w^2 - w + 19]', '[2108, 1054, -3*w^3 + 8*w^2 + 12*w - 15]', '[2108, 1054, -9*w^3 + 30*w^2 + 24*w - 55]', '[2108, 1054, 4*w^3 - 13*w^2 - 9*w + 25]', '[2108, 1054, -5*w^3 + 18*w^2 + 10*w - 39]', '[2108, 1054, -3*w^3 + 8*w^2 + 14*w - 19]', '[2111, 2111, -4*w^3 + 15*w^2 + 4*w - 27]', '[2111, 2111, -6*w^3 + 20*w^2 + 15*w - 37]', '[2113, 2113, 6*w^3 - 19*w^2 - 14*w + 27]', '[2113, 2113, -6*w^3 + 18*w^2 + 16*w - 19]', '[2116, 46, -5*w^3 + 15*w^2 + 15*w - 18]', '[2116, 46, 5*w^3 - 15*w^2 - 15*w + 22]', '[2116, 1058, 3*w^3 - 9*w^2 - 13*w + 16]', '[2116, 1058, w^3 - 3*w^2 - 7*w + 4]', '[2129, 2129, -2*w^3 + 5*w^2 + 5*w - 2]', '[2129, 2129, 5*w^3 - 18*w^2 - 10*w + 38]', '[2129, 2129, 7*w^3 - 22*w^2 - 22*w + 32]', '[2129, 2129, -7*w^3 + 24*w^2 + 17*w - 46]', '[2137, 2137, 4*w^3 - 15*w^2 - 8*w + 25]', '[2137, 2137, -4*w^3 + 15*w^2 + 8*w - 30]', '[2153, 2153, -3*w^3 + 8*w^2 + 14*w - 16]', '[2153, 2153, 2*w^3 - 7*w^2 - w + 16]', '[2161, 2161, -2*w^2 + 4*w - 3]', '[2161, 2161, -2*w^3 + 7*w^2 + 4*w - 19]', '[2161, 2161, -w^2 + 2*w - 4]', '[2161, 2161, -4*w^3 + 14*w^2 + 8*w - 33]', '[2169, 723, w^3 - 8*w^2 + 9*w + 22]', '[2169, 723, 5*w^3 - 10*w^2 - 30*w + 2]', '[2177, 2177, 5*w^3 - 16*w^2 - 12*w + 28]', '[2177, 2177, w^3 - 5*w]', '[2177, 2177, -11*w^3 + 36*w^2 + 31*w - 65]', '[2177, 2177, -4*w^3 + 11*w^2 + 15*w - 18]', '[2191, 2191, w^3 - 8*w^2 - 2*w + 14]', '[2191, 2191, 18*w^3 - 59*w^2 - 53*w + 106]', '[2191, 2191, -7*w^3 + 24*w^2 + 19*w - 42]', '[2191, 2191, -3*w^3 + 12*w^2 + 7*w - 23]', '[2192, 274, 2*w^3 - 4*w^2 - 10*w + 4]', '[2192, 274, 4*w^3 - 14*w^2 - 6*w + 24]', '[2192, 274, -6*w^3 + 20*w^2 + 14*w - 34]', '[2192, 274, -2*w^3 + 4*w^2 + 12*w - 4]', '[2201, 2201, w^3 - 6*w^2 + 6*w + 8]', '[2201, 2201, 2*w^3 - 8*w^2 - 5*w + 20]', '[2201, 2201, -5*w^3 + 17*w^2 + 14*w - 25]', '[2201, 2201, -8*w^3 + 26*w^2 + 21*w - 34]', '[2207, 2207, -2*w^3 + 9*w^2 - 9]', '[2207, 2207, 7*w^3 - 23*w^2 - 18*w + 30]', '[2209, 47, -w^3 + 3*w^2 + 3*w - 11]', '[2209, 47, w^3 - 3*w^2 - 3*w - 3]', '[2212, 1106, -3*w^3 + 9*w^2 + 13*w - 14]', '[2212, 1106, -5*w^3 + 18*w^2 + 12*w - 35]', '[2212, 1106, -4*w^3 + 15*w^2 + 9*w - 25]', '[2212, 1106, -w^3 + 3*w^2 + 7*w - 6]', '[2231, 2231, -8*w^3 + 27*w^2 + 20*w - 40]', '[2231, 2231, 3*w^2 - 4*w - 15]', '[2231, 2231, 8*w^3 - 25*w^2 - 26*w + 38]', '[2231, 2231, -2*w^3 + 5*w^2 + 4*w - 3]', '[2239, 2239, -5*w^3 + 18*w^2 + 11*w - 30]', '[2239, 2239, 3*w^3 - 12*w^2 - 5*w + 25]', '[2263, 2263, -9*w^3 + 28*w^2 + 28*w - 46]', '[2263, 2263, 2*w^2 - 7*w - 4]', '[2263, 2263, -w^3 + 5*w^2 - 4*w - 11]', '[2263, 2263, -3*w^3 + 10*w^2 + 8*w - 8]', '[2268, 42, -3*w^3 + 12*w^2 + 6*w - 21]', '[2268, 42, 6*w^3 - 21*w^2 - 15*w + 39]', '[2273, 2273, -5*w^3 + 16*w^2 + 10*w - 18]', '[2273, 2273, -6*w^3 + 17*w^2 + 23*w - 18]', '[2281, 2281, -w^3 + 3*w^2 + 7*w - 5]', '[2281, 2281, -3*w^3 + 9*w^2 + 13*w - 15]', '[2287, 2287, -5*w^3 + 18*w^2 + 12*w - 30]', '[2287, 2287, 6*w^3 - 18*w^2 - 19*w + 22]', '[2287, 2287, -4*w^3 + 15*w^2 + 9*w - 30]', '[2287, 2287, 5*w^3 - 15*w^2 - 14*w + 17]', '[2304, 12, 4*w^3 - 16*w^2 - 4*w + 36]', '[2313, 771, -4*w^3 + 8*w^2 + 21*w + 11]', '[2313, 771, 2*w^3 - 3*w^2 - 16*w + 1]', '[2313, 771, 8*w^3 - 22*w^2 - 30*w + 17]', '[2313, 771, w^3 - 9*w^2 + 10*w + 32]', '[2329, 2329, 2*w^3 - 6*w^2 - 10*w + 11]', '[2329, 2329, 7*w^3 - 25*w^2 - 14*w + 38]', '[2329, 2329, 2*w^3 - 10*w^2 + w + 27]', '[2329, 2329, -6*w^3 + 18*w^2 + 23*w - 31]', '[2329, 2329, 4*w^3 - 16*w^2 - 6*w + 37]', '[2329, 2329, w^3 - w^2 - 10*w - 2]', '[2329, 2329, 2*w^3 - 6*w^2 - 10*w + 9]', '[2329, 2329, -w^3 + 7*w^2 - 2*w - 20]', '[2329, 2329, -w^2 + 6*w + 6]', '[2329, 2329, -2*w^3 + 5*w^2 + 12*w - 11]', '[2329, 2329, -10*w^3 + 34*w^2 + 25*w - 55]', '[2329, 2329, -6*w^3 + 23*w^2 + 10*w - 51]', '[2351, 2351, 6*w^3 - 21*w^2 - 10*w + 33]', '[2351, 2351, -6*w^3 + 20*w^2 + 15*w - 39]', '[2359, 2359, -5*w^3 + 18*w^2 + 9*w - 21]', '[2359, 2359, w^3 - 2*w^2 - 7*w - 7]', '[2359, 2359, w^3 - 4*w^2 + w - 2]', '[2359, 2359, w^3 - 6*w^2 + 3*w + 24]', '[2367, 789, 2*w^3 - 6*w^2 - 7*w + 16]', '[2367, 789, 14*w^3 - 42*w^2 - 49*w + 64]', '[2367, 789, -8*w^3 + 29*w^2 + 17*w - 60]', '[2367, 789, -w^3 + w^2 + 10*w + 3]', '[2377, 2377, -8*w^3 + 28*w^2 + 17*w - 45]', '[2377, 2377, 8*w^3 - 25*w^2 - 24*w + 36]', '[2383, 2383, -3*w^3 + 12*w^2 + 5*w - 22]', '[2383, 2383, 5*w^3 - 18*w^2 - 11*w + 33]', '[2393, 2393, -6*w^3 + 20*w^2 + 15*w - 38]', '[2393, 2393, 2*w^3 - 9*w^2 + 3*w + 10]', '[2393, 2393, -7*w^3 + 22*w^2 + 21*w - 29]', '[2393, 2393, -5*w^3 + 18*w^2 + 7*w - 30]', '[2396, 1198, -w^3 + 5*w^2 + w - 18]', '[2396, 1198, -5*w^3 + 17*w^2 + 13*w - 22]', '[2396, 1198, w^3 - 4*w^2 - 4*w + 13]', '[2396, 1198, -4*w^3 + 13*w^2 + 13*w - 17]', '[2401, 7, 7]', '[2401, 49, -6*w^3 + 17*w^2 + 22*w - 21]', '[2401, 49, -5*w^3 + 15*w^2 + 15*w - 21]', '[2401, 49, -5*w^3 + 15*w^2 + 15*w - 19]', '[2401, 49, -6*w^3 + 19*w^2 + 14*w - 26]', '[2401, 343, -3*w^3 + 11*w^2 + 6*w - 28]', '[2401, 343, 2*w^3 - 8*w^2 - 3*w + 7]', '[2401, 2401, 2*w^3 - 6*w^2 - 8*w + 17]', '[2401, 2401, 2*w + 7]', '[2404, 1202, 2*w^3 - 5*w^2 - 7*w + 13]', '[2404, 1202, 5*w^3 - 16*w^2 - 14*w + 33]', '[2417, 2417, -3*w^3 + 8*w^2 + 13*w - 15]', '[2417, 2417, 3*w^3 - 10*w^2 - 5*w + 20]', '[2423, 2423, -5*w^3 + 17*w^2 + 11*w - 31]', '[2423, 2423, 3*w^3 - 9*w^2 - 6*w + 8]', '[2423, 2423, -w^3 + w^2 + 7*w - 1]', '[2423, 2423, -6*w^3 + 18*w^2 + 21*w - 23]', '[2428, 1214, -5*w^3 + 14*w^2 + 18*w - 17]', '[2428, 1214, 6*w^3 - 19*w^2 - 15*w + 27]', '[2439, 813, -2*w^3 + 10*w^2 - 3*w - 29]', '[2439, 813, -8*w^3 + 28*w^2 + 18*w - 53]', '[2439, 813, 5*w^3 - 13*w^2 - 24*w + 20]', '[2439, 813, -2*w^3 + 8*w^2 + 5*w - 27]', '[2441, 2441, -3*w^3 + 11*w^2 + 8*w - 27]', '[2441, 2441, -4*w^3 + 14*w^2 + 11*w - 18]', '[2448, 102, 2*w^3 - 6*w^2 - 10*w + 10]', '[2448, 102, -8*w^3 + 26*w^2 + 20*w - 36]', '[2448, 102, -4*w^3 + 10*w^2 + 16*w - 6]', '[2449, 2449, -6*w^3 + 22*w^2 + 11*w - 41]', '[2449, 2449, 3*w^3 - 11*w^2 - w + 19]', '[2449, 2449, -3*w^3 + 7*w^2 + 17*w - 9]', '[2449, 2449, -3*w^3 + 13*w^2 + 2*w - 24]', '[2468, 1234, 3*w^3 - 9*w^2 - 7*w + 6]', '[2468, 1234, 3*w^3 - 11*w^2 - 9*w + 24]', '[2471, 2471, -2*w^2 - 2*w + 7]', '[2471, 2471, 11*w^3 - 35*w^2 - 36*w + 58]', '[2471, 2471, -4*w^3 + 14*w^2 + 13*w - 21]', '[2471, 2471, -7*w^3 + 23*w^2 + 19*w - 33]', '[2471, 2471, -5*w^3 + 17*w^2 + 16*w - 34]', '[2471, 2471, 10*w^3 - 32*w^2 - 32*w + 53]', '[2471, 2471, -4*w^3 + 14*w^2 + 14*w - 21]', '[2471, 2471, 6*w^3 - 21*w^2 - 14*w + 28]', '[2500, 10, -5*w^3 + 15*w^2 + 15*w - 20]', '[2503, 2503, -2*w^3 + 8*w^2 + 3*w - 24]', '[2503, 2503, -3*w^3 + 11*w^2 + 6*w - 11]', '[2503, 2503, 3*w^3 - 12*w^2 - 5*w + 24]', '[2503, 2503, -5*w^3 + 18*w^2 + 11*w - 31]', '[2511, 93, -6*w^3 + 21*w^2 + 15*w - 36]', '[2511, 93, -3*w^3 + 12*w^2 + 6*w - 24]', '[2521, 2521, -2*w^3 + 7*w^2 + 4*w - 4]', '[2521, 2521, w^2 - 2*w - 11]', '[2524, 1262, -w^3 + 4*w^2 - 15]', '[2524, 1262, -w^2 + 3*w - 5]', '[2524, 1262, -4*w^3 + 11*w^2 + 13*w - 11]', '[2524, 1262, -7*w^3 + 22*w^2 + 20*w - 31]', '[2527, 133, -4*w^3 + 11*w^2 + 13*w - 14]', '[2527, 133, 5*w^3 - 15*w^2 - 12*w + 21]', '[2527, 133, -7*w^3 + 22*w^2 + 20*w - 34]', '[2527, 133, 8*w^3 - 24*w^2 - 27*w + 36]', '[2529, 843, 4*w^3 - 18*w^2 + w + 41]', '[2529, 843, -2*w^3 + 22*w + 17]', '[2529, 843, -w^3 + 7*w^2 - 8*w - 18]', '[2529, 843, -4*w^3 + 19*w^2 - 2*w - 51]', '[2543, 2543, -3*w^3 + 11*w^2 + 4*w - 24]', '[2543, 2543, 2*w^2 - 5*w - 1]', '[2551, 2551, -5*w^3 + 14*w^2 + 18*w - 16]', '[2551, 2551, -6*w^3 + 19*w^2 + 15*w - 26]', '[2551, 2551, 5*w^3 - 18*w^2 - 11*w + 32]', '[2551, 2551, -3*w^3 + 12*w^2 + 5*w - 23]', '[2556, 426, -w^3 + w^2 + 7*w + 12]', '[2556, 426, 8*w^3 - 23*w^2 - 29*w + 27]', '[2564, 1282, 9*w^3 - 32*w^2 - 16*w + 51]', '[2564, 1282, 5*w^2 - 11*w - 19]', '[2569, 2569, 4*w^3 - 15*w^2 - 10*w + 28]', '[2569, 2569, -3*w^3 + 13*w^2 + 7*w - 21]', '[2569, 2569, -11*w^3 + 37*w^2 + 31*w - 69]', '[2569, 2569, 6*w^3 - 21*w^2 - 16*w + 37]', '[2576, 322, -6*w^3 + 20*w^2 + 16*w - 28]', '[2576, 322, -2*w^3 + 8*w^2 - 20]', '[2576, 322, -2*w^2 + 6*w]', '[2576, 322, 2*w^2 - 2*w - 12]', '[2583, 861, -8*w^3 + 26*w^2 + 17*w - 36]', '[2583, 861, -10*w^3 + 35*w^2 + 21*w - 52]', '[2583, 861, w^3 - 4*w^2 - w]', '[2583, 861, -w^3 + 2*w^2 + 9*w - 7]', '[2591, 2591, -4*w^3 + 12*w^2 + 15*w - 13]', '[2591, 2591, w^3 - 3*w^2 - 2]', '[2599, 2599, -w^3 + 6*w^2 - 6*w - 12]', '[2599, 2599, -w^3 + 8*w^2 - 7*w - 24]', '[2599, 2599, 9*w^3 - 32*w^2 - 17*w + 51]', '[2599, 2599, 2*w^3 - 9*w^2 + 3*w + 18]', '[2601, 51, 7*w^3 - 24*w^2 - 17*w + 47]', '[2601, 51, -4*w^3 + 10*w^2 + 19*w - 12]', '[2601, 51, w^3 + w^2 - 12*w - 11]', '[2601, 51, -8*w^3 + 28*w^2 + 15*w - 44]', '[2601, 867, -5*w^3 + 16*w^2 + 15*w - 20]', '[2601, 867, -w^3 + 2*w^2 + 3*w + 5]', '[2609, 2609, -3*w^3 + 7*w^2 + 16*w - 9]', '[2609, 2609, -5*w^3 + 16*w^2 + 15*w - 16]', '[2609, 2609, -10*w^3 + 32*w^2 + 31*w - 52]', '[2609, 2609, 4*w^3 - 14*w^2 - 5*w + 24]', '[2617, 2617, 2*w^3 - 5*w^2 - 8*w - 4]', '[2617, 2617, 4*w^3 - 13*w^2 - 10*w + 11]', '[2617, 2617, 4*w^3 - 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21]', '[4508, 322, -8*w^3 + 27*w^2 + 19*w - 47]', '[4508, 322, 3*w^3 - 10*w^2 - 4*w + 21]', '[4508, 322, w^3 - 8*w - 3]', '[4508, 2254, -2*w^3 + 9*w^2 + 3*w - 25]', '[4508, 2254, 7*w^3 - 24*w^2 - 18*w + 35]', '[4508, 2254, -6*w^3 + 21*w^2 + 13*w - 43]', '[4508, 2254, -w^3 + 6*w^2 - 2*w - 7]', '[4513, 4513, -3*w^3 + 13*w^2 + 4*w - 30]', '[4513, 4513, 3*w^3 - 11*w^2 - 5*w + 29]', '[4513, 4513, -2*w^3 + 8*w^2 - 2*w - 15]', '[4513, 4513, -2*w^3 + 4*w^2 + 14*w - 5]', '[4516, 2258, -5*w^3 + 17*w^2 + 13*w - 38]', '[4516, 2258, w^3 - 5*w^2 - w + 2]', '[4519, 4519, -2*w^3 + 8*w^2 + 3*w - 6]', '[4519, 4519, 3*w^3 - 11*w^2 - 6*w + 29]', '[4527, 1509, -11*w^3 + 37*w^2 + 30*w - 65]', '[4527, 1509, -10*w^3 + 29*w^2 + 39*w - 40]', '[4544, 284, 4*w^3 - 14*w^2 - 6*w + 26]', '[4544, 284, 2*w^3 - 4*w^2 - 12*w + 6]', '[4561, 4561, w^3 - 3*w^2 - 4*w - 4]', '[4561, 4561, w - 9]', '[4567, 4567, 2*w^3 - 10*w^2 - w + 24]', '[4567, 4567, -9*w^3 + 31*w^2 + 22*w - 51]', '[4577, 4577, 14*w^3 - 45*w^2 - 39*w + 64]', '[4577, 4577, 3*w^3 - 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85]', '[5089, 5089, 6*w^3 - 24*w^2 - 12*w + 35]', '[5089, 5089, 4*w^3 - 16*w^2 - 7*w + 35]', '[5103, 63, -6*w^3 + 18*w^2 + 21*w - 21]', '[5103, 63, 3*w^3 - 9*w^2 - 6*w + 6]', '[5113, 5113, 9*w^3 - 31*w^2 - 22*w + 52]', '[5113, 5113, -w^3 + 5*w^2 - 5*w - 5]', '[5113, 5113, w^3 - w^2 - 11*w - 5]', '[5113, 5113, -2*w^3 + 10*w^2 + w - 23]', '[5119, 5119, 2*w^3 - 6*w^2 - 11*w + 8]', '[5119, 5119, -3*w^3 + 9*w^2 + 14*w - 17]', '[5119, 5119, -7*w^3 + 24*w^2 + 17*w - 52]', '[5119, 5119, -w^3 + 13*w + 10]', '[5129, 5129, -5*w^3 + 12*w^2 + 25*w - 12]', '[5129, 5129, -7*w^3 + 24*w^2 + 11*w - 27]', '[5129, 5129, 3*w^3 - 12*w^2 - 6*w + 34]', '[5129, 5129, 9*w^3 - 33*w^2 - 12*w + 43]', '[5129, 5129, -6*w^2 + 15*w + 32]', '[5129, 5129, -6*w^3 + 21*w^2 + 15*w - 26]', '[5129, 5129, -5*w^3 + 12*w^2 + 25*w - 2]', '[5129, 5129, 7*w^3 - 24*w^2 - 11*w + 37]', '[5156, 2578, w^3 - 6*w^2 + 4*w + 9]', '[5156, 2578, -4*w^3 + 15*w^2 + 5*w - 31]', '[5167, 5167, -2*w^3 + 10*w^2 + w - 22]', '[5167, 5167, -5*w^3 + 14*w^2 + 22*w - 22]', '[5167, 5167, 9*w^3 - 31*w^2 - 22*w + 53]', '[5167, 5167, 5*w^3 - 20*w^2 - 7*w + 46]', '[5177, 5177, 7*w^3 - 24*w^2 - 13*w + 38]', '[5177, 5177, -2*w^3 + 4*w^2 + 13*w - 8]', '[5177, 5177, -3*w^3 + 11*w^2 + 2*w - 23]', '[5177, 5177, 3*w^3 - 6*w^2 - 17*w + 3]', '[5183, 5183, -2*w^3 + 7*w^2 + 8*w - 20]', '[5183, 5183, -3*w^3 + 11*w^2 + 3*w - 25]', '[5183, 5183, -w^3 + w^2 + 9*w - 5]', '[5183, 5183, -4*w^3 + 13*w^2 + 14*w - 15]', '[5184, 12, 6*w^3 - 18*w^2 - 18*w + 24]', '[5188, 2594, 2*w^3 - 7*w^2 - 5*w + 3]', '[5188, 2594, -w^3 + 4*w^2 + 2*w - 17]', '[5201, 5201, -6*w^3 + 21*w^2 + 15*w - 28]', '[5201, 5201, 8*w^3 - 26*w^2 - 23*w + 38]', '[5201, 5201, w^3 - w^2 - 4*w - 7]', '[5201, 5201, 3*w^3 - 12*w^2 - 6*w + 32]', '[5209, 5209, -4*w^3 + 13*w^2 + 12*w - 30]', '[5209, 5209, -w^2 - 5]', '[5212, 2606, -7*w^3 + 20*w^2 + 24*w - 29]', '[5212, 2606, -8*w^3 + 25*w^2 + 21*w - 39]', '[5231, 5231, 2*w^3 - 5*w^2 - 6*w - 5]', '[5231, 5231, 6*w^3 - 19*w^2 - 18*w + 20]', '[5233, 5233, 7*w^3 - 25*w^2 - 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68]', '[5297, 5297, 3*w^3 - 12*w^2 + 26]', '[5297, 5297, 3*w^2 - 9*w - 4]', '[5321, 5321, -w^3 - 2*w^2 + 5*w + 11]', '[5321, 5321, -6*w^3 + 21*w^2 + 17*w - 44]', '[5321, 5321, -5*w^3 + 18*w^2 + 14*w - 26]', '[5321, 5321, 19*w^3 - 62*w^2 - 55*w + 104]', '[5321, 5321, -w^3 + 6*w^2 - 20]', '[5321, 5321, 17*w^3 - 56*w^2 - 51*w + 108]', '[5327, 5327, 12*w^3 - 38*w^2 - 41*w + 61]', '[5327, 5327, -4*w^3 + 15*w^2 + 16*w - 21]', '[5327, 5327, 8*w^3 - 26*w^2 - 25*w + 41]', '[5327, 5327, -4*w^3 + 15*w^2 + 12*w - 21]', '[5327, 5327, -16*w^3 + 52*w^2 + 46*w - 97]', '[5327, 5327, 6*w^3 - 18*w^2 - 15*w + 35]', '[5327, 5327, -8*w^3 + 27*w^2 + 24*w - 54]', '[5327, 5327, w^3 - 5*w^2 - 4*w + 14]', '[5329, 73, -7*w^3 + 21*w^2 + 21*w - 33]', '[5329, 73, 7*w^3 - 21*w^2 - 21*w + 23]', '[5329, 5329, -w^3 + 3*w^2 + 8*w - 6]', '[5329, 5329, 4*w^3 - 12*w^2 - 17*w + 19]', '[5359, 5359, 6*w^3 - 18*w^2 - 15*w + 22]', '[5359, 5359, -w^3 + 11*w + 17]', '[5359, 5359, 5*w^3 - 18*w^2 - 7*w + 18]', '[5359, 5359, -9*w^3 + 27*w^2 + 30*w - 37]', '[5372, 2686, 4*w^3 - 13*w^2 - 5*w + 13]', '[5372, 2686, -7*w^3 + 20*w^2 + 28*w - 23]', '[5372, 2686, -9*w^3 + 30*w^2 + 22*w - 51]', '[5372, 2686, w^3 - 2*w^2 - 2*w - 5]', '[5372, 2686, -6*w^3 + 19*w^2 + 19*w - 25]', '[5372, 2686, -2*w^3 + 3*w^2 + 11*w - 1]', '[5391, 1797, -7*w^3 + 16*w^2 + 37*w - 9]', '[5391, 1797, -5*w^3 + 20*w^2 + 5*w - 39]', '[5391, 1797, 5*w^3 - 13*w^2 - 24*w + 17]', '[5391, 1797, -4*w^3 + 17*w^2 + 3*w - 40]', '[5392, 674, 6*w^3 - 22*w^2 - 6*w + 30]', '[5392, 674, 2*w^3 - 2*w^2 - 18*w - 10]', '[5399, 5399, 4*w - 9]', '[5399, 5399, -4*w^3 + 12*w^2 + 16*w - 11]', '[5404, 2702, w^3 - 4*w^2 - 2*w - 1]', '[5404, 2702, 2*w^3 - 7*w^2 - 5*w + 21]', '[5404, 2702, -3*w^3 + 13*w^2 + 7*w - 14]', '[5404, 2702, -11*w^3 + 37*w^2 + 31*w - 76]', '[5407, 5407, 4*w^3 - 13*w^2 - 11*w + 10]', '[5407, 5407, -7*w^3 + 22*w^2 + 23*w - 45]', '[5407, 5407, 8*w^3 - 25*w^2 - 29*w + 46]', '[5407, 5407, w^3 - 2*w^2 - 4*w - 10]', '[5409, 1803, 5*w^3 - 14*w^2 - 20*w + 24]', '[5409, 1803, 11*w^3 - 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3*w - 15]', '[5508, 102, 9*w^3 - 30*w^2 - 24*w + 45]', '[5519, 5519, 7*w^3 - 19*w^2 - 29*w + 17]', '[5519, 5519, 10*w^3 - 31*w^2 - 32*w + 44]', '[5527, 5527, -3*w^3 + 10*w^2 + 9*w - 26]', '[5527, 5527, w^3 - 4*w^2 - 3*w - 1]', '[5527, 5527, -7*w^3 + 22*w^2 + 18*w - 30]', '[5527, 5527, -6*w^3 + 17*w^2 + 21*w - 20]', '[5537, 791, -4*w^3 + 10*w^2 + 15*w]', '[5537, 791, 2*w^2 - w - 12]', '[5537, 791, 9*w^3 - 29*w^2 - 24*w + 35]', '[5537, 791, -7*w^3 + 23*w^2 + 20*w - 33]', '[5537, 5537, 7*w^3 - 16*w^2 - 35*w]', '[5537, 5537, -2*w^3 + 3*w^2 + 11*w + 14]', '[5537, 5537, 9*w^3 - 30*w^2 - 22*w + 36]', '[5537, 5537, -13*w^3 + 44*w^2 + 25*w - 55]', '[5543, 5543, -3*w^3 + 15*w^2 - 5*w - 39]', '[5543, 5543, w^3 + w^2 - 16*w - 2]', '[5543, 5543, 4*w^3 - 16*w^2 + w + 33]', '[5543, 5543, 7*w^3 - 27*w^2 - 7*w + 41]', '[5553, 1851, -5*w^2 + 14*w + 17]', '[5553, 1851, 8*w^3 - 23*w^2 - 32*w + 33]', '[5569, 5569, -6*w^3 + 17*w^2 + 20*w - 16]', '[5569, 5569, -8*w^3 + 25*w^2 + 22*w - 31]', '[5572, 2786, 15*w^3 - 47*w^2 - 47*w + 74]', '[5572, 2786, -3*w^3 + 10*w^2 + 14*w - 21]', '[5572, 2786, 16*w^3 - 51*w^2 - 53*w + 93]', '[5572, 2786, -8*w^3 + 25*w^2 + 23*w - 35]', '[5596, 2798, 9*w^3 - 29*w^2 - 23*w + 40]', '[5596, 2798, -5*w^3 + 13*w^2 + 19*w - 10]', '[5609, 5609, -5*w^3 + 18*w^2 + 9*w - 37]', '[5609, 5609, -w^3 + 6*w^2 - 3*w - 8]', '[5609, 5609, 8*w^3 - 23*w^2 - 31*w + 36]', '[5609, 5609, -5*w^3 + 16*w^2 + 8*w - 26]', '[5617, 5617, -6*w^3 + 17*w^2 + 20*w - 24]', '[5617, 5617, -4*w^3 + 16*w^2 + 9*w - 27]', '[5617, 5617, 3*w^3 - 13*w^2 - 4*w + 24]', '[5617, 5617, 8*w^3 - 28*w^2 - 19*w + 51]', '[5617, 5617, 7*w^3 - 25*w^2 - 15*w + 41]', '[5617, 5617, -9*w^3 + 31*w^2 + 24*w - 58]', '[5617, 5617, -8*w^3 + 25*w^2 + 22*w - 39]', '[5617, 5617, -3*w^3 + 13*w^2 + 3*w - 29]', '[5623, 5623, -11*w^3 + 38*w^2 + 25*w - 60]', '[5623, 5623, -7*w^3 + 22*w^2 + 17*w - 30]', '[5623, 5623, -7*w^3 + 20*w^2 + 25*w - 25]', '[5623, 5623, -11*w^3 + 34*w^2 + 35*w - 52]', '[5625, 15, -5*w^3 + 20*w^2 + 5*w - 45]', '[5636, 2818, -5*w^3 + 16*w^2 + 16*w - 19]', '[5636, 2818, 3*w^2 - 5*w - 5]', '[5636, 2818, w^2 + w - 11]', '[5636, 2818, -7*w^3 + 24*w^2 + 16*w - 45]', '[5639, 5639, -4*w^3 + 12*w^2 + 8*w - 25]', '[5639, 5639, -8*w^3 + 24*w^2 + 28*w - 45]', '[5641, 5641, -5*w^3 + 13*w^2 + 19*w - 13]', '[5641, 5641, -9*w^3 + 29*w^2 + 23*w - 43]', '[5647, 5647, -7*w^3 + 21*w^2 + 22*w - 31]', '[5647, 5647, 6*w^3 - 18*w^2 - 17*w + 26]', '[5648, 706, -2*w^3 + 4*w^2 + 10*w - 8]', '[5648, 706, 6*w^3 - 20*w^2 - 14*w + 40]', '[5648, 706, 6*w^3 - 20*w^2 - 14*w + 38]', '[5648, 706, -8*w^3 + 28*w^2 + 14*w - 44]', '[5663, 5663, 20*w^3 - 65*w^2 - 58*w + 115]', '[5663, 5663, -2*w^3 + 10*w^2 - 4*w - 29]', '[5663, 5663, -9*w^3 + 29*w^2 + 23*w - 49]', '[5663, 5663, 2*w^3 - 8*w^2 + 3*w + 21]', '[5679, 1893, -6*w^3 + 13*w^2 + 32*w - 4]', '[5679, 1893, -3*w^3 + 7*w^2 + 17*w - 13]', '[5679, 1893, -2*w^3 + 12*w^2 - 8*w - 37]', '[5679, 1893, -8*w^3 + 30*w^2 + 13*w - 61]', '[5689, 5689, -2*w^3 + 6*w^2 + 11*w - 9]', '[5689, 5689, -3*w^3 + 9*w^2 + 14*w - 16]', '[5692, 2846, 7*w^3 - 21*w^2 - 27*w + 36]', '[5692, 2846, -w^3 + 2*w^2 + 8*w - 13]', '[5729, 5729, w^3 - 11*w - 3]', '[5729, 5729, 11*w^3 - 40*w^2 - 15*w + 51]', '[5729, 5729, w^3 - 12*w^2 + 17*w + 51]', '[5729, 5729, -9*w^3 + 32*w^2 + 17*w - 55]', '[5729, 5729, w^3 + 4*w^2 - 21*w - 34]', '[5729, 5729, 5*w^3 - 18*w^2 - 7*w + 32]', '[5732, 2866, -7*w^3 + 20*w^2 + 28*w - 33]', '[5732, 2866, -5*w^3 + 12*w^2 + 24*w - 11]', '[5743, 5743, 7*w^3 - 24*w^2 - 18*w + 52]', '[5743, 5743, 11*w^3 - 34*w^2 - 35*w + 54]', '[5751, 213, 3*w^2 - 6*w - 6]', '[5751, 213, 6*w^3 - 21*w^2 - 12*w + 39]', '[5756, 2878, 7*w^3 - 23*w^2 - 19*w + 30]', '[5756, 2878, -w^3 + w^2 + 5*w + 10]', '[5761, 5761, 12*w^3 - 37*w^2 - 42*w + 62]', '[5761, 5761, 2*w^3 - 6*w^2 - 11*w + 11]', '[5761, 5761, -3*w^3 + 9*w^2 + 14*w - 14]', '[5761, 5761, 2*w^3 - 5*w^2 + 7]', '[5767, 5767, -3*w^3 + 13*w^2 + 4*w - 29]', '[5767, 5767, -8*w^3 + 28*w^2 + 19*w - 46]', '[5767, 5767, -w^3 + 4*w^2 - 4*w - 2]', '[5767, 5767, 4*w^3 - 11*w^2 - 19*w + 12]', '[5769, 1923, 14*w^3 - 43*w^2 - 42*w + 50]', '[5769, 1923, -7*w^3 + 11*w^2 + 45*w + 29]', '[5776, 38, -6*w^3 + 22*w^2 + 12*w - 36]', '[5776, 38, 4*w^3 - 16*w^2 - 6*w + 34]', '[5783, 5783, -2*w^3 + 5*w^2 + 4*w - 1]', '[5783, 5783, -8*w^3 + 25*w^2 + 26*w - 36]', '[5791, 5791, 6*w^3 - 22*w^2 - 13*w + 44]', '[5791, 5791, 5*w^3 - 19*w^2 - 10*w + 31]', '[5796, 966, 9*w^3 - 28*w^2 - 32*w + 49]', '[5796, 966, 9*w^3 - 31*w^2 - 23*w + 52]', '[5796, 966, -3*w^3 + 13*w^2 + 5*w - 28]', '[5796, 966, w^2 + 5*w - 1]', '[5801, 5801, 7*w^3 - 24*w^2 - 19*w + 36]', '[5801, 5801, -11*w^3 + 38*w^2 + 25*w - 67]', '[5801, 5801, 3*w^3 - 12*w^2 - 7*w + 29]', '[5801, 5801, w^3 - 8*w^2 + 5*w + 18]', '[5807, 5807, 6*w^3 - 22*w^2 - 11*w + 47]', '[5807, 5807, 8*w^3 - 28*w^2 - 18*w + 55]', '[5831, 119, 6*w^3 - 17*w^2 - 22*w + 28]', '[5831, 119, 6*w^3 - 19*w^2 - 14*w + 33]', '[5831, 119, 8*w^3 - 23*w^2 - 28*w + 37]', '[5831, 119, 10*w^3 - 33*w^2 - 32*w + 63]', '[5831, 119, 4*w^3 - 15*w^2 - 14*w + 22]', '[5831, 119, 8*w^3 - 25*w^2 - 20*w + 42]', '[5831, 833, -2*w^3 + 7*w^2 + 8*w - 21]', '[5831, 833, -8*w^3 + 27*w^2 + 16*w - 42]', '[5831, 833, -2*w^3 + 3*w^2 + 14*w]', '[5831, 833, -4*w^3 + 9*w^2 + 20*w - 7]', '[5831, 833, -4*w^3 + 13*w^2 + 14*w - 14]', '[5831, 833, -6*w^3 + 21*w^2 + 10*w - 35]', '[5831, 5831, -w^3 + 7*w^2 - 4*w - 14]', '[5831, 5831, 7*w^3 - 21*w^2 - 25*w + 27]', '[5831, 5831, -4*w^3 + 14*w^2 + 6*w - 27]', '[5831, 5831, -2*w^3 + 4*w^2 + 12*w - 7]', '[5831, 5831, -3*w^3 + 9*w^2 + 5*w - 7]', '[5831, 5831, 8*w^3 - 28*w^2 - 17*w + 51]', '[5839, 5839, -6*w^3 + 22*w^2 + 5*w - 36]', '[5839, 5839, 9*w^3 - 28*w^2 - 27*w + 40]', '[5839, 5839, -5*w^3 + 14*w^2 + 15*w - 15]', '[5839, 5839, -5*w^3 + 12*w^2 + 21*w - 9]', '[5849, 5849, 10*w^3 - 34*w^2 - 23*w + 46]', '[5849, 5849, -5*w^3 + 15*w^2 + 20*w - 17]', '[5849, 5849, 5*w^3 - 18*w^2 - 4*w + 32]', '[5849, 5849, -w^3 - w^2 + 10*w + 19]', '[5872, 734, -8*w^3 + 24*w^2 + 26*w - 36]', '[5872, 734, 6*w^3 - 18*w^2 - 16*w + 26]', '[5873, 5873, 20*w^3 - 63*w^2 - 65*w + 114]', '[5873, 5873, -23*w^3 + 74*w^2 + 71*w - 128]', '[5873, 5873, -5*w^3 + 14*w^2 + 19*w - 28]', '[5873, 5873, 9*w^3 - 30*w^2 - 27*w + 49]', '[5879, 5879, 3*w^3 - 7*w^2 - 11*w - 1]', '[5879, 5879, 9*w^3 - 29*w^2 - 25*w + 39]', '[5881, 5881, 11*w^3 - 39*w^2 - 21*w + 61]', '[5881, 5881, w^3 - 9*w^2 + 9*w + 29]', '[5881, 5881, 11*w^3 - 35*w^2 - 31*w + 57]', '[5881, 5881, 2*w^3 - 4*w^2 - 12*w - 9]', '[5884, 2942, -5*w^3 + 14*w^2 + 16*w - 17]', '[5884, 2942, -8*w^3 + 25*w^2 + 23*w - 37]', '[5884, 2942, 7*w^3 - 25*w^2 - 15*w + 44]', '[5884, 2942, 3*w^3 - 13*w^2 - 3*w + 26]', '[5888, 92, 8*w^3 - 28*w^2 - 16*w + 48]', '[5888, 92, -4*w^2 + 8*w + 12]', '[5904, 246, 2*w^3 - 6*w^2 - 10*w + 22]', '[5904, 246, 2*w^2 - 8*w - 2]', '[5911, 5911, -4*w^2 + 13*w + 20]', '[5911, 5911, -5*w^3 + 20*w^2 + 5*w - 37]', '[5911, 5911, -7*w^3 + 18*w^2 + 27*w - 8]', '[5911, 5911, 13*w^3 - 42*w^2 - 33*w + 53]', '[5911, 5911, 5*w^3 - 20*w^2 - 5*w + 38]', '[5911, 5911, -3*w^3 + 13*w^2 - 4*w - 15]', '[5911, 5911, -7*w^3 + 22*w^2 + 18*w - 18]', '[5911, 5911, 6*w^3 - 17*w^2 - 21*w + 8]', '[5913, 219, 9*w^3 - 33*w^2 - 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45]', '[1543, 1543, 2*w^3 - 3*w^2 - 15*w - 4]', '[1543, 1543, -5*w^3 + 18*w^2 + 6*w - 26]', '[1543, 1543, -3*w^3 + 12*w^2 + 7*w - 20]', '[1553, 1553, -4*w^3 + 14*w^2 + 11*w - 20]', '[1553, 1553, -3*w^3 + 11*w^2 + 8*w - 25]', '[1559, 1559, 2*w^2 - 4*w - 3]', '[1559, 1559, 4*w^3 - 14*w^2 - 8*w + 27]', '[1567, 1567, -4*w^3 + 15*w^2 + 3*w - 20]', '[1567, 1567, w^3 - 12*w - 10]', '[1601, 1601, -3*w^3 + 10*w^2 + 10*w - 12]', '[1601, 1601, 2*w^3 - 7*w^2 - 7*w + 18]', '[1607, 1607, -7*w^3 + 23*w^2 + 20*w - 36]', '[1607, 1607, -6*w^3 + 19*w^2 + 18*w - 26]', '[1607, 1607, 2*w^2 - w - 9]', '[1607, 1607, -2*w^3 + 5*w^2 + 6*w - 1]', '[1609, 1609, -4*w^3 + 15*w^2 + 8*w - 24]', '[1609, 1609, 4*w^3 - 15*w^2 - 8*w + 31]', '[1663, 1663, -6*w^3 + 19*w^2 + 13*w - 26]', '[1663, 1663, -7*w^3 + 20*w^2 + 26*w - 26]', '[1681, 41, -5*w^3 + 15*w^2 + 15*w - 17]', '[1697, 1697, -w^3 + 9*w + 6]', '[1697, 1697, -7*w^3 + 24*w^2 + 15*w - 39]', '[1721, 1721, -5*w^3 + 18*w^2 + 13*w - 38]', '[1721, 1721, -w^3 + 6*w^2 - 5*w - 20]', '[1721, 1721, -w^3 + w^2 + 6*w + 11]', '[1721, 1721, 6*w^3 - 20*w^2 - 15*w + 24]', '[1753, 1753, -3*w^3 + 9*w^2 + 13*w - 17]', '[1753, 1753, w^3 - 3*w^2 - 7*w + 3]', '[1753, 1753, -6*w^3 + 22*w^2 + 12*w - 45]', '[1753, 1753, -6*w^3 + 21*w^2 + 16*w - 40]', '[1759, 1759, -2*w^3 + 6*w^2 + w - 8]', '[1759, 1759, 7*w^3 - 21*w^2 - 26*w + 33]', '[1759, 1759, -3*w^3 + 10*w^2 + 10*w - 26]', '[1759, 1759, -5*w^3 + 17*w^2 + 12*w - 37]', '[1783, 1783, -5*w^3 + 18*w^2 + 11*w - 29]', '[1783, 1783, 4*w^3 - 15*w^2 - 7*w + 26]', '[1783, 1783, 3*w^3 - 12*w^2 - 5*w + 26]', '[1783, 1783, -3*w^3 + 12*w^2 + 4*w - 24]', '[1801, 1801, 8*w^3 - 24*w^2 - 27*w + 33]', '[1801, 1801, 4*w^3 - 12*w^2 - 16*w + 19]', '[1801, 1801, 4*w - 1]', '[1801, 1801, 7*w^3 - 21*w^2 - 23*w + 33]', '[1831, 1831, w^3 - 2*w^2 - 8*w + 2]', '[1831, 1831, w^2 - 5*w - 2]', '[1847, 1847, 6*w^3 - 20*w^2 - 15*w + 25]', '[1847, 1847, w^3 - w^2 - 6*w - 10]', '[1849, 43, -6*w^3 + 21*w^2 + 14*w - 37]', '[1849, 43, -2*w^3 + 9*w^2 + 2*w - 18]', '[1871, 1871, -4*w^3 + 13*w^2 + 8*w - 22]', '[1871, 1871, 4*w^3 - 13*w^2 - 12*w + 15]', '[1871, 1871, 4*w^3 - 11*w^2 - 16*w + 17]', '[1871, 1871, w^2 - 10]', '[1873, 1873, -w^3 + 5*w^2 - 20]', '[1873, 1873, -4*w^3 + 14*w^2 + 9*w - 15]', '[1913, 1913, -2*w^3 + 6*w^2 + 3*w - 4]', '[1913, 1913, 5*w^3 - 15*w^2 - 18*w + 19]', '[1913, 1913, 6*w^3 - 20*w^2 - 11*w + 30]', '[1913, 1913, 9*w^3 - 30*w^2 - 23*w + 45]', '[1993, 1993, -8*w^3 + 28*w^2 + 17*w - 43]', '[1993, 1993, 4*w^3 - 13*w^2 - 16*w + 19]', '[1993, 1993, -6*w^3 + 21*w^2 + 14*w - 36]', '[1993, 1993, -2*w^3 + 9*w^2 + 2*w - 19]', '[1999, 1999, -7*w^3 + 22*w^2 + 20*w - 30]', '[1999, 1999, 4*w^3 - 11*w^2 - 13*w + 10]']}
• 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': [7, 2, -7, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 9792, 'disc_rad': 102, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[4, 1]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 20.199009876724155, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.9792.1', 'local_algs': ['2.4.6.1', '3.4.2.2', '17.1.0.1', '17.1.0.1', '17.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 17], 'rd': 9.94758940723, 'regulator': {'__RealLiteral__': 0, 'data': '4.9482532611', 'prec': 40}, 'res': {'gal': ['-36,144,-114,-108,91,26,-19,-2,1'], 'sib': ['-2,10,-7,-1,1', '-36,144,-114,-108,91,26,-19,-2,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 3 a^{2} - 3 a + 3 \\)', '\\( a + 1 \\)', '\\( a^{2} - 2 a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}