Hilbert modular form data - 4.4.15317.1-16.3-a

Formats: - HTML - YAML - JSON - 2024-04-28T23:18:44.719783

• 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': 5, 'disc': 15317, 'field_bad_primes': [17, 53], 'field_label': '4.4.15317.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '4.4.15317.1-16.3-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2], 'level_ideal': '[16, 4, w^2 - w - 3]', 'level_label': '16.3', 'level_norm': 16, 'parallel_weight': 2, 'short_label': '16.3-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[4, 2, -w^2 + w + 1]', 1]], 'hecke_eigenvalues': ['e', 'e', 0, '-e^4 + 7*e^2 - 6', '-e^4 + 7*e^2 - 6', '-e^4 + e^3 + 5*e^2 - 5*e', '-e^3 + 2*e^2 + 5*e - 6', '-e^3 + 2*e^2 + 5*e - 6', '-e^4 + e^3 + 5*e^2 - 5*e', '-e^4 + e^3 + 6*e^2 - 5*e - 5', 'e^4 + e^3 - 8*e^2 - 5*e + 7', 'e^4 + e^3 - 8*e^2 - 5*e + 7', '-e^4 + e^3 + 6*e^2 - 5*e - 5', '-2*e^4 + 2*e^3 + 13*e^2 - 8*e - 11', '-2*e^4 + 2*e^3 + 13*e^2 - 8*e - 11', '-2*e^4 + 2*e^3 + 14*e^2 - 6*e - 10', '-e^4 + 9*e^2 + 4*e - 12', '-e^4 + 9*e^2 + 4*e - 12', '-e^3 - 2*e^2 + 5*e + 16', 'e^4 - 2*e^3 - 6*e^2 + 10*e + 1', 'e^4 - 2*e^3 - 6*e^2 + 10*e + 1', '-3*e^4 + 20*e^2 + 2*e - 17', '-3*e^4 + 20*e^2 + 2*e - 17', '-e^2 + 4*e + 1', '-e^2 + 4*e + 1', '-e^4 - e^3 + 5*e^2 + 3*e', '-e^4 - e^3 + 5*e^2 + 3*e', 'e^4 - 8*e^2 - 4*e + 7', 'e^4 - 8*e^2 - 4*e + 7', '2*e^4 - e^3 - 14*e^2 + 7*e + 12', '2*e^4 - e^3 - 14*e^2 + 7*e + 12', '2*e^4 + e^3 - 14*e^2 - 9*e + 16', '2*e^4 + e^3 - 14*e^2 - 9*e + 16', 'e^4 + 4*e^3 - 11*e^2 - 20*e + 20', 'e^4 + 4*e^3 - 11*e^2 - 20*e + 20', '2*e^4 + e^3 - 11*e^2 - 9*e + 15', '-3*e^4 + 23*e^2 - 10', '2*e^4 + e^3 - 10*e^2 - 5*e - 4', '2*e^4 + e^3 - 10*e^2 - 5*e - 4', '-2*e^4 + 2*e^3 + 16*e^2 - 14*e - 18', '-2*e^4 + 2*e^3 + 16*e^2 - 14*e - 18', '-e^4 - e^3 + 3*e^2 + 9*e - 2', '-e^4 + 8*e^2 - 4*e - 11', '-e^4 + 8*e^2 - 4*e - 11', '-e^4 - e^3 + 3*e^2 + 9*e - 2', 'e^4 + e^3 - 4*e^2 - 7*e + 3', '-3*e^4 + 19*e^2 + 6*e - 8', '-3*e^4 + 19*e^2 + 6*e - 8', 'e^4 + e^3 - 4*e^2 - 7*e + 3', '-e^4 - 2*e^3 + 6*e^2 + 10*e - 5', '-e^4 - 2*e^3 + 6*e^2 + 10*e - 5', '-2*e^4 + 16*e^2 + 4*e - 10', '-2*e^4 + 16*e^2 + 4*e - 10', '-3*e^4 - 3*e^3 + 21*e^2 + 13*e - 14', '-3*e^4 - 3*e^3 + 21*e^2 + 13*e - 14', '2*e^4 + e^3 - 18*e^2 - 13*e + 16', '2*e^4 + e^3 - 18*e^2 - 13*e + 16', '-e^4 + 4*e^3 + 13*e^2 - 24*e - 22', 'e^4 - e^3 - 6*e^2 - 3*e + 11', 'e^4 - e^3 - 6*e^2 - 3*e + 11', '-e^4 + 4*e^3 + 13*e^2 - 24*e - 22', '-5*e^3 + 2*e^2 + 21*e + 4', '-2*e^3 - 3*e^2 + 6*e + 13', '-2*e^3 - 3*e^2 + 6*e + 13', '4*e^4 - 5*e^3 - 26*e^2 + 25*e + 24', '4*e^4 - 5*e^3 - 26*e^2 + 25*e + 24', '2*e^4 - 3*e^3 - 6*e^2 + 11*e - 20', '2*e^4 - 3*e^3 - 6*e^2 + 11*e - 20', 'e^4 + e^3 - 12*e^2 + 7*e + 37', '-4*e^4 + 6*e^3 + 29*e^2 - 24*e - 25', '-4*e^4 + 6*e^3 + 29*e^2 - 24*e - 25', '-2*e^3 + 3*e^2 + 2*e - 19', '-2*e^3 + 3*e^2 + 2*e - 19', '4*e^4 + 3*e^3 - 31*e^2 - 21*e + 35', '4*e^4 + 3*e^3 - 31*e^2 - 21*e + 35', 'e^4 - 4*e^3 - 3*e^2 + 26*e - 10', 'e^4 - 4*e^3 - 3*e^2 + 26*e - 10', '2*e^4 - 19*e^2 + 8*e + 25', '2*e^4 - 19*e^2 + 8*e + 25', '-3*e^4 + e^3 + 16*e^2 + 5*e + 3', '-3*e^4 + e^3 + 16*e^2 + 5*e + 3', '-3*e^4 + 2*e^3 + 25*e^2 - 10*e - 22', '-3*e^4 + 2*e^3 + 25*e^2 - 10*e - 22', '2*e^4 - 4*e^3 - 16*e^2 + 12*e + 34', '-e^4 - 5*e^3 + 7*e^2 + 29*e - 14', '-e^4 - 5*e^3 + 7*e^2 + 29*e - 14', '2*e^4 - 4*e^3 - 16*e^2 + 12*e + 34', '-9*e^2 + 21', '-9*e^2 + 21', '3*e^4 - 7*e^3 - 21*e^2 + 39*e + 28', '3*e^4 - 7*e^3 - 21*e^2 + 39*e + 28', '-e^3 + 2*e^2 + e + 6', '4*e^4 - e^3 - 34*e^2 + 5*e + 46', '4*e^4 - e^3 - 34*e^2 + 5*e + 46', '-e^3 + 2*e^2 + e + 6', '-e^4 + 2*e + 17', '-e^4 + 2*e + 17', '6*e^4 - 6*e^3 - 41*e^2 + 22*e + 35', '6*e^4 - 6*e^3 - 41*e^2 + 22*e + 35', '4*e^4 + 2*e^3 - 21*e^2 - 10*e - 9', '4*e^4 + 2*e^3 - 21*e^2 - 10*e - 9', '-e^4 - 5*e^3 + 6*e^2 + 35*e - 1', '-2*e^3 + 5*e^2 + 12*e - 17', '-2*e^3 + 5*e^2 + 12*e - 17', '-e^4 - 5*e^3 + 6*e^2 + 35*e - 1', '4*e^4 - 3*e^3 - 33*e^2 + 7*e + 45', 'e^3 - 3*e^2 - 13*e + 3', 'e^3 - 3*e^2 - 13*e + 3', '4*e^4 - 3*e^3 - 33*e^2 + 7*e + 45', '-3*e^4 - 4*e^3 + 24*e^2 + 24*e - 23', '-3*e^4 - 4*e^3 + 24*e^2 + 24*e - 23', '-3*e^4 + e^3 + 12*e^2 - e + 37', '3*e^4 - 6*e^3 - 16*e^2 + 34*e + 25', '3*e^4 - 6*e^3 - 16*e^2 + 34*e + 25', '-3*e^4 - 5*e^3 + 19*e^2 + 21*e + 4', '-3*e^4 - 5*e^3 + 19*e^2 + 21*e + 4', '-5*e^4 + 4*e^3 + 32*e^2 - 4*e - 9', '2*e^4 - 4*e^3 - 16*e^2 + 16*e + 16', '2*e^4 - 4*e^3 - 16*e^2 + 16*e + 16', '-5*e^4 + 4*e^3 + 32*e^2 - 4*e - 9', '-2*e^4 + 4*e^3 + 10*e^2 - 10*e', '-2*e^4 + 4*e^3 + 10*e^2 - 10*e', '-3*e^4 - 3*e^3 + 23*e^2 + 19*e - 4', '-e^4 + 4*e^3 + 17*e^2 - 32*e - 44', '-e^4 + 4*e^3 + 17*e^2 - 32*e - 44', '-3*e^4 - 3*e^3 + 23*e^2 + 19*e - 4', 'e^4 - 2*e^3 - 10*e^2 + 26*e + 29', 'e^4 - 2*e^3 - 10*e^2 + 26*e + 29', '3*e^4 - e^3 - 27*e^2 + 15*e + 48', '-e^4 + 6*e^2 + 10*e - 25', '-e^4 + 6*e^2 + 10*e - 25', '3*e^4 - e^3 - 27*e^2 + 15*e + 48', '5*e^4 - 3*e^3 - 29*e^2 + 5*e + 8', '5*e^4 - 3*e^3 - 29*e^2 + 5*e + 8', '3*e^4 + 3*e^3 - 15*e^2 - 25*e - 4', '3*e^4 + 3*e^3 - 15*e^2 - 25*e - 4', '2*e^4 + e^3 - 10*e^2 - 7*e - 12', '2*e^4 + e^3 - 10*e^2 - 7*e - 12', '4*e^4 + 8*e^3 - 33*e^2 - 52*e + 39', '4*e^4 + 8*e^3 - 33*e^2 - 52*e + 39', '-7*e^3 + e^2 + 43*e + 1', '-7*e^3 + e^2 + 43*e + 1', '-2*e^4 + 9*e^3 + 16*e^2 - 41*e - 36', '-2*e^4 + 9*e^3 + 16*e^2 - 41*e - 36', '2*e^4 + 3*e^3 - 21*e^2 - 11*e + 19', '-4*e^4 - 7*e^3 + 26*e^2 + 51*e - 26', '-4*e^4 - 7*e^3 + 26*e^2 + 51*e - 26', '2*e^4 + 3*e^3 - 21*e^2 - 11*e + 19', 'e^4 - 3*e^3 - 7*e^2 + 11*e + 26', 'e^4 - 3*e^3 - 7*e^2 + 11*e + 26', '-2*e^4 + 2*e^3 + 19*e^2 - 14*e - 29', '-2*e^4 + 2*e^3 + 19*e^2 - 14*e - 29', '-3*e^4 + e^3 + 27*e^2 - 13*e - 14', '3*e^4 + 2*e^3 - 20*e^2 - 14*e + 43', '3*e^4 + 2*e^3 - 20*e^2 - 14*e + 43', '-3*e^4 + e^3 + 27*e^2 - 13*e - 14', '-4*e^4 + 2*e^3 + 26*e^2 - 12*e - 14', '-e^4 + 6*e^2 - 2*e + 31', '-e^4 + 6*e^2 - 2*e + 31', '-4*e^4 + 2*e^3 + 26*e^2 - 12*e - 14', '-3*e^4 + 6*e^3 + 20*e^2 - 22*e + 3', '5*e^4 + e^3 - 37*e^2 - e + 28', '5*e^4 + e^3 - 37*e^2 - e + 28', '-3*e^4 + 6*e^3 + 20*e^2 - 22*e + 3', '-4*e^4 + 2*e^3 + 41*e^2 - 6*e - 55', '-4*e^4 + 2*e^3 + 41*e^2 - 6*e - 55'], 'hecke_polynomial': 'x^5 - 8*x^3 - x^2 + 11*x + 1', 'label': '4.4.15317.1-16.3-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 15317, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, -w + 1]', '[4, 2, -w^2 + w + 4]', '[4, 2, -w^2 + w + 1]', '[4, 4, -w - 1]', '[4, 4, -w + 2]', '[8, 2, w^3 - w^2 - 5*w]', '[8, 2, -w^3 + 2*w^2 + 4*w - 5]', '[8, 4, -w^3 + w^2 + 4*w]', '[8, 4, w^3 - 2*w^2 - 3*w + 4]', '[8, 8, -w^2 + 2*w]', '[8, 8, w^2 - 1]', '[16, 2, 2]', '[16, 4, -w^3 + w^2 + 3*w - 2]', '[16, 4, w^2 - w - 3]', '[16, 4, w^2 - w - 2]', '[16, 4, -w^3 + 2*w^2 + 2*w - 1]', '[16, 8, w^2 - 3*w]', '[16, 8, -w^2 - w + 2]', '[16, 16, w^3 - 3*w^2 - 3*w + 9]', '[16, 16, w^3 - 6*w - 4]', '[19, 19, -w^3 + 5*w + 3]', '[19, 19, w^3 - 3*w^2 - 2*w + 7]', '[32, 4, 2*w]', '[32, 4, -w^3 + 2*w^2 + 2*w - 3]', '[32, 4, w^3 - w^2 - 3*w]', '[32, 4, -2*w + 2]', '[32, 8, w^3 - w^2 - 2*w]', '[32, 8, w^3 - 2*w^2 - 4*w + 3]', '[32, 8, w^3 - w^2 - 5*w + 2]', '[32, 8, -w^3 + 2*w^2 + w - 2]', '[32, 16, -w^3 + 2*w^2 + 3*w - 2]', '[32, 16, -w^3 + w^2 + 4*w - 2]', '[32, 32, -w^2 + 4]', '[32, 32, -w^2 + 2*w + 3]', '[38, 38, -2*w^3 + 4*w^2 + 7*w - 8]', '[38, 38, -w^3 + 2*w^2 + 2*w - 2]', '[38, 38, w^3 - w^2 - 3*w + 1]', '[38, 38, -2*w^3 + 2*w^2 + 9*w - 1]', '[43, 43, -w^3 + 3*w^2 + 2*w - 5]', '[43, 43, -w^3 + w^2 + 2*w - 1]', '[43, 43, w^3 - 2*w^2 - w + 1]', '[43, 43, -w^3 + 5*w + 1]', '[47, 47, -w^3 + w^2 + 2*w + 1]', '[47, 47, w^3 - 5*w - 5]', '[47, 47, -w^3 + 3*w^2 + 2*w - 9]', '[47, 47, w^3 - 2*w^2 - w + 3]', '[49, 7, -w^3 + w^2 + 6*w + 1]', '[49, 7, -w^3 + 2*w^2 + 5*w - 7]', '[53, 53, 2*w - 1]', '[64, 4, -2*w^2 + 2*w + 8]', '[64, 4, -w^3 + 4*w + 3]', '[64, 4, -w^3 + 3*w^2 + w - 6]', '[64, 4, -2*w^2 + 2*w + 2]', '[64, 8, -w^2 + w - 1]', '[64, 8, w^2 - w - 6]', '[64, 8, -2*w - 2]', '[64, 8, -2*w + 4]', '[64, 16, -w^3 + 3*w + 2]', '[64, 16, w^3 - w^2 - 3*w - 2]', '[64, 16, -w^3 + 3*w^2 - 4]', '[64, 16, w^3 - 2*w^2 - 2*w + 5]', '[64, 32, w^2 + w - 4]', '[64, 32, -w^2 + 3*w + 2]', '[64, 64, w^3 - 3*w^2 - w + 3]', '[64, 64, -w^3 + 4*w]', '[67, 67, -w^3 + w^2 + 4*w - 3]', '[67, 67, -w^3 + 2*w^2 + 3*w - 1]', '[76, 38, w^2 + w + 1]', '[76, 38, -2*w^3 + 5*w^2 + 5*w - 12]', '[76, 38, w^2 - 3*w + 3]', '[76, 38, -2*w^3 + w^2 + 9*w + 4]', '[76, 76, -2*w^2 + 3*w + 2]', '[76, 76, w^2 - 5]', '[76, 76, -w^2 + 2*w + 4]', '[76, 76, -2*w^2 + w + 3]', '[81, 3, -3]', '[83, 83, 2*w^3 - 4*w^2 - 6*w + 9]', '[83, 83, -2*w^3 + 2*w^2 + 8*w + 1]', '[86, 86, w + 3]', '[86, 86, 2*w^3 - 5*w^2 - 6*w + 15]', '[86, 86, 2*w^2 + w - 3]', '[86, 86, w^3 - w^2 - w - 1]', '[86, 86, w^3 - 2*w^2 + 2]', '[86, 86, 2*w^2 - 5*w]', '[86, 86, -2*w^3 + w^2 + 10*w + 6]', '[86, 86, -w + 4]', '[94, 94, -2*w^3 + 3*w^2 + 8*w - 3]', '[94, 94, w^3 - 2*w^2 - 2*w + 6]', '[94, 94, w^3 - 2*w^2 - 4*w + 2]', '[94, 94, w^2 + 2*w - 1]', '[94, 94, -w^2 + 4*w - 2]', '[94, 94, -w^3 + w^2 + 5*w - 3]', '[94, 94, w^3 - w^2 - 3*w - 3]', '[94, 94, 2*w^3 - 3*w^2 - 8*w + 6]', '[98, 14, w^2 - 2*w + 2]', '[98, 14, -w^2 + 6]', '[98, 14, -w^2 - 1]', '[98, 14, -w^2 + 2*w + 5]', '[101, 101, w^3 - 2*w^2 - 5*w + 3]', '[101, 101, 4*w^3 - 10*w^2 - 12*w + 25]', '[103, 103, -2*w^3 + 4*w^2 + 6*w - 7]', '[103, 103, -2*w^3 + 2*w^2 + 8*w - 1]', '[106, 106, 2*w^2 - w]', '[106, 106, -2*w^2 + 3*w - 1]', '[121, 11, -w^3 + 4*w^2 + w - 13]', '[121, 11, w^3 + w^2 - 6*w - 9]', '[127, 127, -4*w^3 + 4*w^2 + 18*w - 1]', '[127, 127, 4*w^3 - 8*w^2 - 14*w + 17]', '[128, 4, 2*w^3 - 2*w^2 - 10*w]', '[128, 4, -2*w^3 + 4*w^2 + 8*w - 10]', '[128, 8, w^3 - 3*w^2 - w + 2]', '[128, 8, 3*w^3 - 6*w^2 - 10*w + 13]', '[128, 8, -3*w^3 + 3*w^2 + 13*w]', '[128, 8, -2*w^3 + 2*w^2 + 8*w]', '[128, 8, 2*w^3 - 4*w^2 - 6*w + 8]', '[128, 8, w^3 - 4*w + 1]', '[128, 16, w^3 - w^2 - 6*w]', '[128, 16, -2*w^2 + 4*w]', '[128, 16, -w^3 + 2*w^2 + 5*w - 6]', '[128, 16, 2*w^2 - 2]', '[128, 32, w^3 + w^2 - 4*w - 4]', '[128, 32, -w^3 + 2*w^2 + 1]', '[128, 32, w^3 - 4*w^2 + w + 6]', '[128, 32, w^3 - w^2 - w + 2]', '[128, 64, w^3 - w - 2]', '[128, 64, -w^3 + 3*w^2 - 2*w - 2]', '[128, 128, w^3 - 2*w^2 - 4*w + 8]', '[128, 128, w^3 - w^2 - 5*w - 3]', '[134, 134, w^2 + 2*w - 5]', '[134, 134, w^3 - 3*w^2 + w + 3]', '[134, 134, -w^3 + 2*w + 2]', '[134, 134, w^2 - 4*w - 2]', '[137, 137, w^3 - 2*w^2 - 5*w + 1]', '[137, 137, -w^3 + w^2 + 6*w - 5]', '[151, 151, 2*w^3 - 4*w^2 - 8*w + 9]', '[151, 151, -3*w^3 + 8*w^2 + 9*w - 21]', '[152, 38, -w^3 + w^2 + 5*w - 4]', '[152, 38, w^3 - 4*w^2 + 2*w + 5]', '[152, 38, -w^3 + 2*w^2 + 4*w - 1]', '[152, 38, -w^3 - w^2 + 3*w + 4]', '[152, 76, w^3 - 3*w^2 - 2*w + 4]', '[152, 76, -2*w^3 + 3*w^2 + 9*w - 6]', '[152, 76, 2*w^3 - 3*w^2 - 9*w + 4]', '[152, 76, w^3 - 5*w]', '[152, 152, w^3 - 4*w^2 - 2*w + 12]', '[152, 152, -w^3 + w^2 + 5*w - 5]', '[152, 152, -w^3 + 2*w^2 + 4*w]', '[152, 152, w^3 + w^2 - 7*w - 7]', '[157, 157, 2*w^3 - 2*w^2 - 10*w + 3]', '[157, 157, -2*w^3 + 4*w^2 + 8*w - 7]', '[162, 6, -3*w]', '[162, 6, 3*w - 3]', '[166, 166, 2*w^3 - 6*w^2 - 5*w + 13]', '[166, 166, 2*w^2 - 3*w - 3]', '[166, 166, 2*w^2 - w - 4]', '[166, 166, -2*w^3 + 11*w + 4]', '[169, 13, 2*w^2 - 2*w - 7]', '[169, 13, 2*w^2 - 2*w - 3]', '[172, 86, 2*w^3 - w^2 - 7*w - 1]', '[172, 86, -3*w^3 + 6*w^2 + 11*w - 16]', '[172, 86, -w^3 + 2*w^2 + 5*w - 4]', '[172, 86, 2*w^3 - 3*w^2 - 7*w + 5]', '[172, 86, w^3 - w^2 - 6*w + 2]', '[172, 86, -2*w^3 + 3*w^2 + 7*w - 3]', '[172, 86, -2*w^3 + 5*w^2 + 3*w - 7]', '[172, 86, -3*w^3 + 3*w^2 + 14*w + 2]', '[172, 172, 2*w^3 - 2*w^2 - 9*w + 2]', '[172, 172, -w^3 + 4*w^2 - 4]', '[172, 172, 2*w^2 - w - 6]', '[172, 172, -w^2 + 4*w]', '[172, 172, -w^2 - 2*w + 3]', '[172, 172, -2*w^2 + 3*w + 5]', '[172, 172, -w^3 - w^2 + 5*w + 1]', '[172, 172, 2*w^3 - 4*w^2 - 7*w + 7]', '[179, 179, -w^3 + w^2 + 6*w - 1]', '[179, 179, -w^3 + 2*w^2 + 5*w - 5]', '[188, 94, 2*w^3 - w^2 - 9*w - 5]', '[188, 94, -w^3 + 7*w + 4]', '[188, 94, -w^3 + w^2 + 2*w + 2]', '[188, 94, w^2 - 3*w - 3]', '[188, 94, w^3 - 2*w^2 - w + 4]', '[188, 94, w^2 + w - 5]', '[188, 94, -2*w^3 + 5*w^2 + 5*w - 13]', '[188, 94, w^3 - 3*w^2 - 4*w + 10]', '[188, 188, -w^3 + 3*w^2 + w - 7]', '[188, 188, 2*w^2 + w - 2]', '[188, 188, -2*w^3 + 5*w^2 + 4*w - 7]', '[188, 188, 3*w - 5]', '[188, 188, -3*w - 2]', '[188, 188, -2*w^3 + w^2 + 8*w]', '[188, 188, -2*w^2 + 5*w - 1]', '[188, 188, w^3 - 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9]', '[916, 916, -w^3 - 2*w^2 + 8*w + 4]', '[916, 916, -w^3 + 4*w^2 - 12]', '[916, 916, -2*w^3 + 2*w^2 + 11*w - 1]', '[916, 916, 4*w^3 - 2*w^2 - 15*w - 1]', '[919, 919, w^3 + w^2 - 4*w - 7]', '[919, 919, -w^3 + 4*w^2 - w - 9]', '[926, 926, -2*w^3 + w^2 + 8*w - 2]', '[926, 926, 3*w^3 - 4*w^2 - 12*w - 2]', '[926, 926, 3*w^3 - 5*w^2 - 11*w + 15]', '[926, 926, -2*w^3 + 5*w^2 + 4*w - 5]', '[931, 133, w^3 + w^2 - 6*w + 1]', '[931, 133, -3*w^3 + 5*w^2 + 10*w - 9]', '[931, 133, -3*w^3 + 4*w^2 + 11*w - 3]', '[931, 133, -w^3 + 4*w^2 + w - 3]', '[934, 934, -2*w^3 + 6*w^2 - w + 1]', '[934, 934, -2*w^3 + w^2 + 12*w - 2]', '[934, 934, 6*w^2 + w - 16]', '[934, 934, -2*w^3 + 3*w^2 + 4*w - 3]', '[934, 934, -2*w^3 + 3*w^2 + 4*w - 2]', '[934, 934, -6*w^2 + 13*w + 9]', '[934, 934, 2*w^3 - 5*w^2 - 8*w + 9]', '[934, 934, 4*w^3 - 9*w^2 - 12*w + 18]', '[937, 937, 3*w^3 - 4*w^2 - 11*w + 5]', '[937, 937, w^3 + w^2 - 8*w - 9]', '[937, 937, -w^3 + 4*w^2 + 3*w - 15]', '[937, 937, -3*w^3 + 5*w^2 + 10*w - 7]', '[953, 953, w^3 - 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9]', '[971, 971, w^3 - 3*w^2 - 4*w + 1]', '[977, 977, -2*w^3 + 2*w^2 + 10*w - 5]', '[977, 977, 2*w^3 - 4*w^2 - 8*w + 5]', '[982, 982, -w^3 + 6*w^2 + 2*w - 18]', '[982, 982, 3*w^3 - 4*w^2 - 14*w + 6]', '[982, 982, 3*w^3 - 5*w^2 - 13*w + 9]', '[982, 982, -6*w^3 + 13*w^2 + 22*w - 35]', '[1004, 502, 6*w^3 - 13*w^2 - 19*w + 31]', '[1004, 502, -4*w^3 + 9*w^2 + 15*w - 24]', '[1004, 502, -4*w^3 + 3*w^2 + 21*w + 4]', '[1004, 502, 6*w^3 - 5*w^2 - 27*w - 5]', '[1004, 1004, -2*w^3 + 6*w^2 + w - 2]', '[1004, 1004, 2*w^3 - 3*w^2 - 10*w + 7]', '[1004, 1004, 2*w^3 - 3*w^2 - 10*w + 4]', '[1004, 1004, 2*w^3 - 7*w + 3]', '[1007, 1007, -3*w^3 + 7*w^2 + 6*w - 11]', '[1007, 1007, -3*w^3 + 2*w^2 + 11*w + 1]', '[1016, 254, -w^3 + 2*w^2 - 5]', '[1016, 254, 3*w^3 - 9*w^2 - 7*w + 24]', '[1016, 254, 3*w^3 - 16*w - 11]', '[1016, 254, w^3 - w^2 - w - 4]', '[1016, 508, -2*w^3 + 5*w^2 + 7*w - 18]', '[1016, 508, w^3 + 5*w^2 - 10*w - 28]', '[1016, 508, -w^3 + 8*w^2 - 3*w - 32]', '[1016, 508, -2*w^3 + w^2 + 11*w + 8]', '[1016, 1016, -2*w^3 + 5*w^2 + 6*w - 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w^2 - 13*w]', '[1772, 886, -4*w^3 + 7*w^2 + 13*w - 15]', '[1772, 886, 2*w^3 - 5*w^2 - 9*w + 12]', '[1772, 1772, 3*w^3 + 2*w^2 - 20*w - 20]', '[1772, 1772, -w^3 + 5*w^2 - w - 11]', '[1772, 1772, w^3 + 2*w^2 - 6*w - 8]', '[1772, 1772, 3*w^3 - 11*w^2 - 7*w + 35]', '[1777, 1777, 2*w^3 - 2*w^2 - 4*w - 3]', '[1777, 1777, 3*w^3 - 2*w^2 - 9*w - 1]', '[1777, 1777, -3*w^3 + 7*w^2 + 4*w - 9]', '[1777, 1777, 2*w^3 - 4*w^2 - 2*w + 7]', '[1783, 1783, -w^3 + 2*w^2 + 7*w - 7]', '[1783, 1783, w^3 - w^2 - 8*w + 1]', '[1784, 446, -7*w^3 + 7*w^2 + 31*w + 4]', '[1784, 446, 5*w^3 - 10*w^2 - 16*w + 17]', '[1784, 446, 3*w^3 - 4*w^2 - 12*w + 9]', '[1784, 446, -5*w^3 + 3*w^2 + 23*w + 4]', '[1784, 446, 5*w^3 - 12*w^2 - 14*w + 25]', '[1784, 446, -3*w^3 + 5*w^2 + 11*w - 4]', '[1784, 446, -3*w^3 + 4*w^2 + 2*w + 1]', '[1784, 446, w^3 - 3*w^2 + w - 4]', '[1784, 892, -3*w^3 + 4*w^2 + 15*w - 12]', '[1784, 892, 3*w^3 - 4*w^2 - 15*w - 2]', '[1784, 892, 2*w^3 - w^2 - 11*w + 2]', '[1784, 892, -3*w^3 + w^2 + 14*w + 10]', '[1784, 892, 5*w^3 - 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3]', '[1832, 458, 3*w^3 - 5*w^2 - 13*w + 16]', '[1832, 458, 5*w^3 - w^2 - 25*w - 16]', '[1832, 458, 3*w^3 - 10*w^2 - 8*w + 31]', '[1832, 916, 3*w^3 - w^2 - 14*w - 12]', '[1832, 916, -5*w^3 + 6*w^2 + 23*w - 6]', '[1832, 916, -3*w^3 + 8*w^2 + 7*w - 14]', '[1832, 916, -3*w^3 + w^2 + 18*w + 12]', '[1832, 916, 3*w^3 - 8*w^2 - 11*w + 28]', '[1832, 916, 3*w^3 - w^2 - 14*w - 2]', '[1832, 916, -5*w^3 + 9*w^2 + 20*w - 18]', '[1832, 916, -3*w^3 + 8*w^2 + 7*w - 24]', '[1832, 1832, 3*w^3 - w^2 - 11*w + 1]', '[1832, 1832, 2*w^3 - 4*w^2 - 7*w + 2]', '[1832, 1832, -w^2 + 2*w - 5]', '[1832, 1832, -2*w^3 - 3*w^2 + 6*w + 7]', '[1832, 1832, -2*w^3 + 9*w^2 - 6*w - 8]', '[1832, 1832, w^2 + 4]', '[1832, 1832, -2*w^3 + 2*w^2 + 9*w - 7]', '[1832, 1832, -3*w^3 + 8*w^2 + 4*w - 8]', '[1838, 1838, -2*w^3 + w^2 + 8*w - 5]', '[1838, 1838, -3*w^3 + 9*w^2 + 3*w - 11]', '[1838, 1838, 3*w^3 - 12*w - 2]', '[1838, 1838, 2*w^3 - 5*w^2 - 4*w + 2]', '[1849, 43, -4*w^2 + 4*w + 15]', '[1849, 43, 3*w^3 - 9*w^2 - 6*w + 19]', '[1849, 43, 3*w^3 + w^2 - 12*w - 7]', '[1849, 43, -3*w^3 + 15*w + 7]', '[1849, 43, -4*w^2 + 4*w + 5]', '[1849, 43, -3*w^3 + 10*w^2 + w - 15]', '[1849, 1849, -3*w^3 + 11*w + 1]', '[1849, 1849, -w^3 + 3*w^2 - 11]', '[1849, 1849, -w^3 + 3*w + 9]', '[1849, 1849, 3*w^3 - 9*w^2 - 2*w + 9]', '[1852, 926, 2*w^3 - 3*w^2 - 3*w + 7]', '[1852, 926, 5*w^3 - 15*w^2 - 12*w + 46]', '[1852, 926, 5*w^3 - 27*w - 24]', '[1852, 926, 2*w^3 - 3*w^2 - 3*w - 3]', '[1852, 1852, 4*w^3 - 9*w^2 - 14*w + 28]', '[1852, 1852, w^3 + 3*w^2 - 5*w - 11]', '[1852, 1852, -w^3 + 6*w^2 - 4*w - 12]', '[1852, 1852, -4*w^3 + 3*w^2 + 20*w + 9]', '[1862, 266, -3*w^3 + 18*w + 14]', '[1862, 266, -w^3 - 2*w^2 + 6*w + 6]', '[1862, 266, w^3 - 4*w^2 - 6*w + 10]', '[1862, 266, 4*w^3 - w^2 - 20*w - 14]', '[1862, 266, -w^3 - w^2 + 11*w + 1]', '[1862, 266, -4*w^3 + 11*w^2 + 10*w - 31]', '[1862, 266, -w^3 + 5*w^2 - w - 9]', '[1862, 266, 3*w^3 - 9*w^2 - 9*w + 29]', '[1868, 934, -w^3 + 7*w^2 - 4*w - 6]', '[1868, 934, 3*w^2 - 5*w + 3]', '[1868, 934, 2*w^3 - 7*w^2 + w + 11]', '[1868, 934, w^3 - 3*w^2 + 4*w - 6]', '[1868, 934, -2*w^3 - w^2 + 7*w + 7]', '[1868, 934, -w^3 - w - 4]', '[1868, 934, 5*w^2 - 13*w]', '[1868, 934, -4*w^3 + 9*w^2 + 7*w - 5]', '[1868, 1868, -3*w^3 + 4*w^2 + 8*w + 4]', '[1868, 1868, -w^3 - 4*w^2 + 8*w + 4]', '[1868, 1868, w^3 + 3*w^2 - 9*w - 15]', '[1868, 1868, -w^3 + 4*w^2 - 2*w - 8]', '[1868, 1868, w^3 + w^2 - 3*w - 7]', '[1868, 1868, w^3 - 6*w^2 + 20]', '[1868, 1868, 5*w^3 - 13*w^2 - 15*w + 39]', '[1868, 1868, 3*w^3 - 5*w^2 - 7*w + 13]', '[1871, 1871, -w^3 + 5*w^2 - 13]', '[1871, 1871, w^3 + 2*w^2 - 9*w - 13]', '[1871, 1871, w^3 - 5*w^2 - 2*w + 19]', '[1871, 1871, w^3 + 2*w^2 - 7*w - 9]', '[1874, 1874, 2*w^3 + w^2 - 10*w - 6]', '[1874, 1874, -2*w^3 + 5*w^2 + 6*w - 7]', '[1874, 1874, 4*w^2 - 9*w - 7]', '[1874, 1874, -w^3 - 2*w^2 + 8*w + 6]', '[1874, 1874, w^3 - 5*w^2 - w + 11]', '[1874, 1874, -4*w^2 - w + 12]', '[1874, 1874, 2*w^3 - w^2 - 10*w + 2]', '[1874, 1874, -2*w^3 + 7*w^2 + 2*w - 13]', '[1879, 1879, -7*w^3 + 9*w^2 + 30*w - 11]', '[1879, 1879, -5*w^3 + 5*w^2 + 22*w - 3]', '[1879, 1879, -5*w^3 + 10*w^2 + 17*w - 19]', '[1879, 1879, w^3 + 2*w^2 - 7*w + 1]', '[1889, 1889, 3*w^3 - 5*w^2 - 12*w + 5]', '[1889, 1889, -3*w^3 + 4*w^2 + 13*w - 9]', '[1906, 1906, w^2 - 8*w - 2]', '[1906, 1906, -3*w^3 + 11*w^2 - 3*w - 11]', '[1906, 1906, 5*w^2 - 11]', '[1906, 1906, -w^3 - 2*w + 2]', '[1906, 1906, w^3 - 3*w^2 + 5*w - 1]', '[1906, 1906, w^3 - 2*w^2 - 8*w + 10]', '[1906, 1906, -3*w^3 - 2*w^2 + 10*w + 6]', '[1906, 1906, w^2 + 6*w - 9]', '[1912, 478, 3*w^3 - 7*w^2 - 11*w + 24]', '[1912, 478, w^3 - 5]', '[1912, 478, -w^3 + 3*w^2 - 3*w - 4]', '[1912, 478, 3*w^3 - 2*w^2 - 16*w - 9]', '[1912, 956, -3*w^3 + 9*w^2 + 6*w - 20]', '[1912, 956, 2*w^3 + 3*w^2 - 15*w - 22]', '[1912, 956, -2*w^3 + 9*w^2 + 3*w - 32]', '[1912, 956, -3*w^3 + 15*w + 8]', '[1912, 1912, -w^3 - 2*w^2 + 8*w + 8]', '[1912, 1912, 3*w - 10]', '[1912, 1912, 3*w + 7]', '[1912, 1912, -w^3 + 5*w^2 + w - 13]', '[1913, 1913, -2*w^3 + 6*w^2 + 2*w - 13]', '[1913, 1913, 2*w^3 - 8*w - 7]', '[1919, 1919, -3*w^3 - 5*w^2 + 6*w + 11]', '[1919, 1919, -3*w^3 + 4*w^2 + 11*w - 13]', '[1919, 1919, -2*w^2 - 2*w + 9]', '[1919, 1919, -w^3 - w^2 + 14*w - 13]', '[1936, 22, -2*w^3 + 8*w^2 + 2*w - 26]', '[1936, 22, 2*w^3 + 2*w^2 - 12*w - 18]', '[1936, 44, -w^3 - 2*w^2 + 9*w + 14]', '[1936, 44, -7*w^3 + 3*w^2 + 37*w + 18]', '[1936, 44, -w^3 + 5*w^2 - w - 10]', '[1936, 44, -2*w^3 - 3*w^2 + 15*w + 23]', '[1936, 44, w^3 - 5*w^2 - 2*w + 20]', '[1936, 44, 2*w^3 - 9*w^2 - 3*w + 33]', '[1936, 44, -w^3 - 2*w^2 + 6*w + 7]', '[1936, 44, 7*w^3 - 18*w^2 - 22*w + 51]', '[1936, 88, -w^2 - w - 4]', '[1936, 88, -6*w^3 + 15*w^2 + 17*w - 40]', '[1936, 88, w^2 - 3*w + 6]', '[1936, 88, 6*w^3 - 3*w^2 - 29*w - 14]', '[1936, 176, 3*w^3 - 5*w^2 - 7*w + 1]', '[1936, 176, -4*w^2 + w + 9]', '[1936, 176, -3*w^3 + 4*w^2 + 8*w - 8]', '[1936, 176, 4*w^2 - 7*w - 6]', '[1942, 1942, -2*w^3 - w^2 + 10*w + 7]', '[1942, 1942, w^3 + 2*w^2 - 12*w - 6]', '[1942, 1942, -2*w^3 - w^2 + 6*w + 6]', '[1942, 1942, 2*w^3 - 3*w^2 + 3]', '[1942, 1942, -2*w^3 + 3*w^2 + 2]', '[1942, 1942, 2*w^3 - 7*w^2 + 2*w + 9]', '[1942, 1942, -w^3 + 5*w^2 + 5*w - 15]', '[1942, 1942, -2*w^3 + 7*w^2 + 2*w - 14]', '[1954, 1954, 5*w - 9]', '[1954, 1954, 2*w^3 - 4*w^2 - 3*w + 9]', '[1954, 1954, -2*w^3 + 2*w^2 + 5*w + 4]', '[1954, 1954, -5*w - 4]', '[1957, 1957, 2*w^3 - 6*w^2 - 6*w + 11]', '[1957, 1957, -5*w^3 + 6*w^2 + 23*w - 5]', '[1957, 1957, -3*w^3 + 5*w - 5]', '[1957, 1957, -2*w^3 + 12*w + 1]', '[1964, 982, 4*w^3 - 11*w^2 - 15*w + 27]', '[1964, 982, -5*w^3 + 8*w^2 + 15*w - 20]', '[1964, 982, -2*w^3 + 7*w^2 + 3*w - 17]', '[1964, 982, w^3 - 2*w^2 - 5*w + 12]', '[1964, 1964, 4*w^3 - 2*w^2 - 13*w + 2]', '[1964, 1964, -8*w^3 + 13*w^2 + 28*w - 29]', '[1964, 1964, -4*w^3 + 7*w^2 + 12*w - 16]', '[1964, 1964, -4*w^3 + 10*w^2 + 5*w - 9]', '[1973, 1973, 7*w^3 - 18*w^2 - 21*w + 47]', '[1973, 1973, -4*w^3 + 8*w^2 + 16*w - 17]', '[1987, 1987, w^3 - 4*w^2 - 3*w + 1]', '[1987, 1987, w^3 + w^2 - 8*w + 5]', '[1993, 1993, w^3 + 3*w^2 - 8*w - 21]', '[1993, 1993, -w^3 + 6*w^2 - w - 25]', '[1997, 1997, w^3 - 4*w^2 - 7*w + 13]', '[1997, 1997, -4*w^3 + 6*w^2 + 14*w - 11]', '[1997, 1997, 7*w^3 - 16*w^2 - 23*w + 45]', '[1997, 1997, w^3 + w^2 - 12*w - 3]', '[2008, 502, -w^3 + 5*w^2 + w - 12]', '[2008, 502, w^3 - 10*w + 5]', '[2008, 502, -w^3 + 3*w^2 + 7*w - 4]', '[2008, 502, -w^3 - 2*w^2 + 8*w + 7]', '[2008, 1004, w^3 - w^2 - 4*w + 8]', '[2008, 1004, 3*w^3 - 2*w^2 - 9*w + 2]', '[2008, 1004, -3*w^3 + 7*w^2 + 4*w - 6]', '[2008, 1004, w^3 - 2*w^2 - 3*w - 4]', '[2008, 2008, 8*w^3 - 5*w^2 - 38*w - 16]', '[2008, 2008, 4*w^3 - 8*w^2 - 7*w + 1]', '[2008, 2008, -4*w^3 + 4*w^2 + 11*w - 10]', '[2008, 2008, -8*w^3 + 19*w^2 + 24*w - 51]', '[2014, 2014, w^3 - 6*w^2 + 4*w + 6]', '[2014, 2014, 2*w^3 - 6*w^2 - 3*w + 16]', '[2014, 2014, -2*w^3 + 9*w + 9]', '[2014, 2014, w^3 + 3*w^2 - 5*w - 5]', '[2021, 2021, 4*w^3 - 8*w^2 - 12*w + 15]', '[2021, 2021, 2*w^3 - 4*w^2 - 8*w + 3]', '[2021, 2021, w^3 - 4*w^2 - 5*w + 5]', '[2021, 2021, -3*w^3 + 5*w^2 + 10*w - 1]', '[2021, 2021, -3*w^3 + w^2 + 14*w + 11]', '[2021, 2021, -4*w^2 + 2*w + 13]', '[2021, 2021, -5*w^3 + 11*w^2 + 16*w - 23]', '[2021, 2021, 5*w^3 - 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5]', '[2107, 301, -w^3 + w^2 + 5]', '[2107, 301, -w^3 - w^2 + 6*w + 13]', '[2126, 2126, -4*w^2 - w + 5]', '[2126, 2126, 4*w^2 - 13*w + 9]', '[2126, 2126, -5*w^3 + 10*w^2 + 16*w - 22]', '[2126, 2126, -4*w^2 + 9*w]', '[2141, 2141, w^3 - w^2 - 8*w + 3]', '[2141, 2141, -w^3 + 2*w^2 + 7*w - 5]', '[2143, 2143, -w^3 + 3*w^2 + 6*w - 17]', '[2143, 2143, -w^3 + 9*w + 9]', '[2144, 268, 2*w^2 + 4*w - 10]', '[2144, 268, 2*w^3 - 6*w^2 + 2*w + 6]', '[2144, 268, -w^3 + w^2 - w - 4]', '[2144, 268, 3*w^3 - 6*w^2 - 6*w + 13]', '[2144, 268, -3*w^3 + 3*w^2 + 9*w + 4]', '[2144, 268, w^3 - 2*w^2 + 2*w - 5]', '[2144, 268, -2*w^3 + 4*w + 4]', '[2144, 268, 2*w^2 - 8*w - 4]', '[2144, 536, 3*w^3 - 5*w^2 - 4*w + 8]', '[2144, 536, 2*w^3 - 5*w^2 + 3*w - 2]', '[2144, 536, -w^3 + 3*w^2 + 3*w - 14]', '[2144, 536, -w^3 - 3*w^2 + 11*w + 10]', '[2144, 536, -w^3 + 6*w^2 + 2*w - 17]', '[2144, 536, -w^3 + 6*w + 9]', '[2144, 536, -2*w^3 + w^2 + w - 2]', '[2144, 536, -3*w^3 + 4*w^2 + 5*w + 2]', '[2144, 1072, 2*w^3 - 3*w^2 - 5*w - 6]', '[2144, 1072, w^3 + 2*w^2 - 7*w - 8]', '[2144, 1072, w^3 - 5*w^2 + 12]', '[2144, 1072, 2*w^3 - 3*w^2 - 5*w + 12]', '[2144, 2144, 3*w^3 - 4*w^2 - 10*w + 4]', '[2144, 2144, -2*w^3 + 6*w^2 + 9*w - 14]', '[2144, 2144, 2*w^3 - 15*w - 1]', '[2144, 2144, -3*w^3 + 5*w^2 + 9*w - 7]', '[2161, 2161, w^3 + 3*w^2 - 6*w - 15]', '[2161, 2161, -w^3 + 6*w^2 - 3*w - 17]', '[2174, 2174, -2*w^3 + w^2 + 10*w + 9]', '[2174, 2174, 2*w^3 + w^2 - 4*w - 5]', '[2174, 2174, 2*w^3 - 7*w^2 + 4*w + 6]', '[2174, 2174, 2*w^3 - 5*w^2 - 6*w + 18]', '[2192, 274, 2*w^3 - 4*w^2 - 10*w + 2]', '[2192, 274, -2*w^3 + 2*w^2 + 12*w - 10]', '[2192, 548, 3*w^3 - 2*w^2 - 12*w - 7]', '[2192, 548, -3*w^3 + w^2 + 12*w]', '[2192, 548, -4*w^3 + 3*w^2 + 17*w - 1]', '[2192, 548, 3*w^3 - 12*w^2 + 6*w + 13]', '[2192, 548, 3*w^3 + 3*w^2 - 9*w - 10]', '[2192, 548, 4*w^3 - 9*w^2 - 11*w + 15]', '[2192, 548, 3*w^3 - 8*w^2 - 5*w + 10]', '[2192, 548, 3*w^3 - 7*w^2 - 7*w + 18]', '[2192, 1096, -w^3 - w^2 + 10*w + 6]', '[2192, 1096, 3*w^3 + w^2 - 4*w + 4]', '[2192, 1096, 3*w^3 - 10*w^2 + 7*w - 4]', '[2192, 1096, -w^3 + 4*w^2 + 5*w - 14]', '[2192, 2192, -10*w^3 + 8*w^2 + 49*w + 10]', '[2192, 2192, 6*w^3 - 9*w^2 - 22*w + 17]', '[2192, 2192, 6*w^3 - 9*w^2 - 22*w + 8]', '[2192, 2192, -10*w^3 + 22*w^2 + 35*w - 57]', '[2194, 2194, w^3 + 2*w^2 - 6*w - 14]', '[2194, 2194, -4*w^3 + 7*w^2 + 8*w - 13]', '[2194, 2194, -2*w^3 + w^2 + 10*w - 11]', '[2194, 2194, -6*w^3 + 3*w^2 + 32*w + 14]', '[2194, 2194, 6*w^3 - 15*w^2 - 20*w + 43]', '[2194, 2194, 3*w^3 - 2*w^2 - 6*w + 2]', '[2194, 2194, w^3 + 2*w^2 - 4*w + 2]', '[2194, 2194, -w^3 + 5*w^2 - w - 17]', '[2209, 47, -w^3 + 5*w^2 - 11]', '[2209, 47, 2*w^2 - 2*w - 13]', '[2209, 47, w^3 + 2*w^2 - 7*w - 7]', '[2209, 47, -3*w^3 + 4*w^2 + 9*w - 7]', '[2209, 47, -2*w^2 + 2*w - 3]', '[2209, 47, -3*w^3 + 5*w^2 + 8*w - 3]', '[2209, 2209, 2*w^2 + 4*w - 7]', '[2209, 2209, -3*w^3 + 4*w^2 + 15*w - 9]', '[2209, 2209, -3*w^3 + 5*w^2 + 14*w - 7]', '[2209, 2209, -2*w^2 + 8*w + 1]', '[2228, 1114, -2*w^3 + 9*w^2 + w - 28]', '[2228, 1114, -2*w^3 + 9*w^2 - 5*w - 7]', '[2228, 1114, 3*w^3 - 7*w^2 - 6*w + 6]', '[2228, 1114, -2*w^3 + w^2 + 13*w - 5]', '[2228, 2228, 8*w^3 - 21*w^2 - 24*w + 57]', '[2228, 2228, 2*w^2 + w - 10]', '[2228, 2228, -2*w^2 + 5*w + 7]', '[2228, 2228, -2*w^2 + 11*w - 14]', '[2243, 2243, w^3 + w^2 - 8*w - 13]', '[2243, 2243, 4*w^3 - 6*w^2 - 14*w + 1]', '[2243, 2243, -4*w^3 + 6*w^2 + 14*w - 15]', '[2243, 2243, -w^3 + 4*w^2 + 3*w - 19]', '[2248, 562, -w^3 + w^2 + 9*w - 8]', '[2248, 562, w^3 + 4*w^2 - 8*w - 1]', '[2248, 562, -3*w^3 + w^2 + 13*w + 8]', '[2248, 562, -w^3 + 4*w^2 + 4*w - 15]', '[2248, 562, w^3 + w^2 - 9*w - 8]', '[2248, 562, 3*w^3 - 8*w^2 - 6*w + 19]', '[2248, 562, -w^3 + 2*w^2 + 8*w - 1]', '[2248, 562, -w^3 + 7*w^2 - 3*w - 4]', '[2248, 1124, 4*w^3 - 5*w^2 - 17*w + 8]', '[2248, 1124, w^3 - 9*w - 6]', '[2248, 1124, -2*w^3 + w^2 + 7*w + 6]', '[2248, 1124, 3*w^3 - 2*w^2 - 9*w]', '[2248, 1124, 3*w^3 - 7*w^2 - 4*w + 8]', '[2248, 1124, 2*w^3 - 5*w^2 - 3*w + 12]', '[2248, 1124, -w^3 + 3*w^2 + 6*w - 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12]', '[4184, 4184, -4*w^2 + 3*w + 11]', '[4184, 4184, 4*w^2 + 3*w - 13]', '[4184, 4184, -4*w^2 + 11*w + 6]', '[4184, 4184, -4*w^2 + 5*w + 10]', '[4184, 4184, -3*w^3 + w^2 + 9*w + 5]', '[4184, 4184, w^3 - w^2 - w + 9]', '[4198, 4198, -3*w^3 + 11*w^2 - w - 13]', '[4198, 4198, -5*w^2 + 2*w + 9]', '[4198, 4198, -5*w^2 + 8*w + 6]', '[4198, 4198, 3*w^3 + 2*w^2 - 12*w - 6]', '[4201, 4201, -9*w^3 + 13*w^2 + 38*w - 19]', '[4201, 4201, -9*w^3 + 14*w^2 + 37*w - 23]', '[4208, 526, -2*w^3 + 14*w - 2]', '[4208, 526, -2*w^3 + 6*w^2 + 8*w - 10]', '[4208, 1052, w^3 - 10*w^2 + 16*w + 11]', '[4208, 1052, -w^3 + 2*w + 9]', '[4208, 1052, 3*w^3 - 7*w^2 - 6*w + 4]', '[4208, 1052, 4*w^3 - 7*w^2 - 13*w + 5]', '[4208, 1052, 3*w^3 - 2*w^2 - 11*w + 6]', '[4208, 1052, 4*w^3 - 5*w^2 - 15*w + 11]', '[4208, 1052, w^3 - 3*w^2 + w + 10]', '[4208, 1052, -w^3 - 7*w^2 + w + 18]', '[4208, 2104, 5*w^3 - 13*w^2 - 2]', '[4208, 2104, -w^3 + 4*w^2 - 3*w - 8]', '[4208, 2104, w^3 + w^2 - 2*w - 8]', '[4208, 2104, -5*w^3 + 2*w^2 + 11*w - 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9]', '[4231, 4231, 2*w^2 + 2*w - 11]', '[4237, 4237, 7*w^3 - 4*w^2 - 33*w - 15]', '[4237, 4237, -3*w^3 + 6*w^2 + 17*w - 29]', '[4237, 4237, -2*w^3 + 6*w^2 + 2*w - 15]', '[4237, 4237, -3*w^3 + 5*w^2 + 6*w - 3]', '[4237, 4237, -w^3 + 3*w^2 + 8*w - 23]', '[4237, 4237, 2*w^3 - 8*w - 9]', '[4237, 4237, 3*w^3 - 3*w^2 - 20*w - 9]', '[4237, 4237, -4*w^3 - 2*w^2 + 14*w + 7]', '[4241, 4241, -3*w^3 + 2*w^2 + 13*w - 13]', '[4241, 4241, -7*w^3 + 3*w^2 + 34*w + 17]', '[4241, 4241, 7*w^3 - 18*w^2 - 19*w + 47]', '[4241, 4241, 5*w^3 - 12*w^2 - 9*w + 15]', '[4252, 2126, 4*w^3 - 7*w^2 - 11*w + 5]', '[4252, 2126, -w^3 - w^2 + 12*w - 2]', '[4252, 2126, 4*w^3 - 13*w^2 - 7*w + 36]', '[4252, 2126, 4*w^3 - 13*w^2 + 5*w + 9]', '[4252, 4252, -4*w^2 + 3*w + 10]', '[4252, 4252, 4*w^2 - 17*w + 18]', '[4252, 4252, -6*w^3 + 17*w^2 + 18*w - 49]', '[4252, 4252, 4*w^2 - 5*w - 9]', '[4259, 4259, -w^3 + 5*w^2 - 2*w - 15]', '[4259, 4259, -w^3 - 2*w^2 + 5*w + 13]', '[4271, 4271, -3*w^3 + 2*w^2 + 13*w - 3]', '[4271, 4271, -3*w^3 + 7*w^2 + 8*w - 9]', '[4282, 4282, w^3 - 4*w^2 - 2*w - 2]', '[4282, 4282, 3*w^2 + 2]', '[4282, 4282, 3*w^2 - 6*w + 5]', '[4282, 4282, -w^3 - w^2 + 7*w - 7]', '[4283, 4283, 3*w^3 + 2*w^2 - 11*w - 11]', '[4283, 4283, 6*w - 11]', '[4283, 4283, -6*w - 5]', '[4283, 4283, 3*w^3 - 11*w^2 + 2*w + 17]', '[4286, 4286, w^3 + 2*w^2 - 12*w + 2]', '[4286, 4286, -2*w^3 + 5*w^2 + 14*w + 2]', '[4286, 4286, -2*w^3 + w^2 + 18*w - 19]', '[4286, 4286, w^3 - 5*w^2 - 5*w + 7]', '[4288, 268, 5*w^3 - 11*w^2 - 13*w + 22]', '[4288, 268, -w^3 + 4*w^2 + 8*w - 5]', '[4288, 268, 6*w^2 - 2*w - 6]', '[4288, 268, -6*w^3 + 12*w^2 + 22*w - 24]', '[4288, 268, -w^3 - w^2 + 13*w - 6]', '[4288, 268, 5*w^3 - 4*w^2 - 20*w - 3]', '[4288, 268, 6*w^2 - 10*w - 2]', '[4288, 268, 6*w^3 - 6*w^2 - 28*w + 4]', '[4288, 536, -2*w^3 + 4*w^2 + 12*w - 16]', '[4288, 536, 4*w^3 - 10*w^2 - 4*w + 8]', '[4288, 536, 5*w^3 - 8*w^2 - 19*w + 18]', '[4288, 536, 2*w^3 + w^2 - 9*w + 3]', '[4288, 536, -2*w^3 + 7*w^2 + w - 3]', '[4288, 536, -5*w^3 + 7*w^2 + 20*w - 4]', '[4288, 536, 4*w^3 - 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2*w^2 - 19*w - 9]', '[4337, 4337, 3*w^3 - 17*w - 17]', '[4337, 4337, -3*w^3 + 9*w^2 + 8*w - 31]', '[4337, 4337, 3*w^3 - 7*w^2 - 14*w + 27]', '[4343, 4343, -5*w^3 + 14*w^2 + 7*w - 25]', '[4343, 4343, -3*w^3 + 8*w^2 + 9*w - 15]', '[4343, 4343, 2*w^3 + 4*w^2 - 6*w - 9]', '[4343, 4343, -w^3 - 3*w^2 + 6*w + 7]', '[4343, 4343, -5*w^3 + 13*w^2 + 20*w - 37]', '[4343, 4343, 3*w^3 - 6*w^2 - 17*w + 25]', '[4343, 4343, -4*w^3 + 8*w^2 + 10*w - 21]', '[4343, 4343, 8*w^2 + 4*w - 15]', '[4348, 2174, 2*w^3 - 3*w^2 - 5*w + 13]', '[4348, 2174, 5*w^2 - w - 12]', '[4348, 2174, 2*w^3 - 3*w^2 - 5*w - 7]', '[4348, 2174, -5*w^2 + 9*w + 8]', '[4348, 4348, 7*w^3 - 6*w^2 - 34*w]', '[4348, 4348, -w^3 + 2*w^2 + 8*w - 4]', '[4348, 4348, w^3 - w^2 - 9*w + 5]', '[4348, 4348, 7*w^3 - 15*w^2 - 25*w + 33]', '[4351, 4351, -6*w^2 + 16*w - 1]', '[4351, 4351, -7*w^3 + 8*w^2 + 35*w + 3]', '[4351, 4351, -3*w^3 + 2*w^2 + 11*w + 7]', '[4351, 4351, -7*w^3 + 15*w^2 + 24*w - 33]', '[4351, 4351, 7*w^3 - 6*w^2 - 33*w - 1]', '[4351, 4351, 3*w^3 - 7*w^2 - 6*w + 17]', '[4351, 4351, 7*w^3 - 13*w^2 - 30*w + 39]', '[4351, 4351, 6*w^2 + 4*w - 9]', '[4373, 4373, -2*w^3 + 4*w^2 + 2*w - 9]', '[4373, 4373, 2*w^3 - 2*w^2 - 4*w - 5]', '[4384, 548, 2*w^3 - 2*w^2 - 2*w + 6]', '[4384, 548, -5*w^3 + w^2 + 19*w + 8]', '[4384, 548, w^3 + 2*w^2 - 2*w - 9]', '[4384, 548, -2*w^2 + 12*w - 14]', '[4384, 548, -2*w^2 - 8*w - 4]', '[4384, 548, 5*w^3 - 14*w^2 - 6*w + 23]', '[4384, 548, -w^3 + 5*w^2 - 5*w - 8]', '[4384, 548, -2*w^3 + 4*w^2 + 4]', '[4384, 1096, -w^3 + 10*w + 13]', '[4384, 1096, 2*w^3 + w^2 - 3*w - 6]', '[4384, 1096, -3*w^3 - w^2 + 17*w + 14]', '[4384, 1096, 5*w^3 - 15*w^2 + 16]', '[4384, 1096, -5*w^3 + 15*w + 6]', '[4384, 1096, -3*w^3 + 10*w^2 + 6*w - 27]', '[4384, 1096, -2*w^3 + 7*w^2 - 5*w - 6]', '[4384, 1096, -w^3 + 3*w^2 + 7*w - 22]', '[4384, 2192, 2*w^3 - w^2 - 11*w - 10]', '[4384, 2192, 3*w^3 - 11*w^2 + 20]', '[4384, 2192, 3*w^3 + 2*w^2 - 13*w - 12]', '[4384, 2192, 2*w^3 - 5*w^2 - 7*w + 20]', '[4384, 4384, 5*w^3 - 4*w^2 - 18*w + 4]', '[4384, 4384, -4*w^3 + 8*w^2 + 17*w - 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5*w + 8]', '[4418, 94, -2*w^3 + 4*w^2 + 11*w - 13]', '[4418, 94, 8*w^3 - 16*w^2 - 27*w + 35]', '[4418, 94, -2*w^3 + 9*w^2 - 4*w - 9]', '[4418, 94, 6*w^3 - 4*w^2 - 27*w - 3]', '[4418, 94, -3*w^3 + 5*w^2 + 5*w - 5]', '[4418, 94, -2*w^2 + 9*w + 1]', '[4418, 4418, 4*w^3 - 11*w^2 - 4*w + 10]', '[4418, 4418, -w^3 + w^2 + 9*w - 15]', '[4418, 4418, -2*w^3 + 3*w^2 + 6*w - 13]', '[4418, 4418, -6*w^3 + 11*w^2 + 24*w - 22]', '[4418, 4418, 6*w^3 - 7*w^2 - 28*w + 7]', '[4418, 4418, -2*w^3 + 3*w^2 + 6*w + 6]', '[4418, 4418, -w^3 + 2*w^2 + 8*w + 6]', '[4418, 4418, 4*w^3 - w^2 - 14*w + 1]', '[4421, 4421, -w^3 + 8*w^2 - w - 31]', '[4421, 4421, -w^3 - 5*w^2 + 12*w + 25]', '[4429, 4429, w^3 - w^2 - 6*w + 11]', '[4429, 4429, 5*w^3 - 3*w^2 - 16*w + 7]', '[4429, 4429, w^3 - 5*w^2 - 4*w + 17]', '[4429, 4429, w^3 + w^2 + 5]', '[4429, 4429, 6*w^3 - 8*w^2 - 24*w + 13]', '[4429, 4429, -w^3 - 2*w^2 + 11*w + 9]', '[4429, 4429, 4*w^3 + 2*w^2 - 24*w - 25]', '[4429, 4429, w^3 - 2*w^2 - 5*w - 5]', '[4441, 4441, -5*w^3 + 14*w^2 + 11*w - 35]', '[4441, 4441, 7*w^3 - 17*w^2 - 16*w + 31]', '[4441, 4441, 7*w^3 - 4*w^2 - 29*w - 5]', '[4441, 4441, 5*w^3 - w^2 - 24*w - 15]', '[4456, 1114, -5*w^3 + 5*w^2 + 25*w - 4]', '[4456, 1114, 7*w^3 - 14*w^2 - 28*w + 39]', '[4456, 1114, 3*w^3 - 9*w^2 - 7*w + 16]', '[4456, 1114, 5*w^3 - 10*w^2 - 20*w + 21]', '[4456, 2228, -7*w^3 + 16*w^2 + 19*w - 32]', '[4456, 2228, -5*w^3 + 8*w^2 + 17*w - 16]', '[4456, 2228, 5*w^3 - 7*w^2 - 18*w + 4]', '[4456, 2228, -2*w^3 + w^2 + 11*w - 10]', '[4456, 4456, 2*w^3 - 7*w^2 - 2*w + 7]', '[4456, 4456, -2*w^3 + 11*w^2 - 14*w]', '[4456, 4456, -2*w^2 + w + 15]', '[4456, 4456, 2*w^3 + w^2 - 10*w]', '[4463, 4463, -4*w^3 + 8*w^2 + 14*w - 13]', '[4463, 4463, 2*w^2 + 4*w - 11]', '[4463, 4463, 2*w^2 - 8*w - 5]', '[4463, 4463, 4*w^3 - 4*w^2 - 18*w + 5]', '[4486, 4486, -2*w^3 + 5*w^2 + 10*w - 11]', '[4486, 4486, 2*w^3 + 2*w^2 - 19*w - 8]', '[4486, 4486, -2*w^3 - 2*w^2 + 5*w + 8]', '[4486, 4486, -3*w^3 + 5*w^2 + 17*w - 21]', '[4486, 4486, -8*w^2 - w + 20]', '[4486, 4486, 2*w^3 - 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6*w^2 - 16*w + 15]', '[5203, 473, -4*w^3 + 6*w^2 + 16*w - 3]', '[5203, 473, -3*w^3 + 3*w^2 + 16*w - 9]', '[5203, 473, 7*w^3 - 7*w^2 - 30*w - 1]', '[5203, 473, w^3 - 8*w^2 - w + 25]', '[5206, 5206, -2*w^3 + 6*w^2 + w - 13]', '[5206, 5206, -4*w^3 - w^2 + 14*w + 9]', '[5206, 5206, -5*w^2 + 4*w + 27]', '[5206, 5206, 9*w^3 - 3*w^2 - 45*w - 23]', '[5206, 5206, 9*w^3 - 24*w^2 - 24*w + 62]', '[5206, 5206, 5*w^2 - 6*w - 26]', '[5206, 5206, 4*w^3 - 13*w^2 + 18]', '[5206, 5206, 2*w^3 - 7*w - 8]', '[5218, 5218, 4*w^3 - 11*w^2 - 8*w + 18]', '[5218, 5218, -6*w^3 + 7*w^2 + 28*w - 6]', '[5218, 5218, 6*w^3 - 11*w^2 - 24*w + 23]', '[5218, 5218, 9*w^3 - 19*w^2 - 33*w + 49]', '[5227, 5227, -w^3 + 3*w^2 + 2*w - 15]', '[5227, 5227, w^3 - 5*w - 11]', '[5228, 2614, -3*w^3 + 2*w^2 + 7*w + 4]', '[5228, 2614, w^2 - 7*w - 5]', '[5228, 2614, -w^2 - 5*w + 11]', '[5228, 2614, -3*w^3 + 7*w^2 + 2*w - 10]', '[5228, 5228, w^3 - 2*w^2 + 4*w + 4]', '[5228, 5228, -w^3 + 3*w^2 + w - 15]', '[5228, 5228, w^3 - 4*w - 12]', '[5228, 5228, w^3 - w^2 + 3*w - 7]', '[5234, 5234, -9*w - 4]', '[5234, 5234, -2*w^3 + 2*w^2 + w + 4]', '[5234, 5234, 2*w^3 - 4*w^2 + w + 5]', '[5234, 5234, 9*w - 13]', '[5261, 5261, -3*w^3 + 3*w + 5]', '[5261, 5261, -5*w^3 + 2*w^2 + 17*w + 1]', '[5266, 5266, -8*w^3 + 19*w^2 + 22*w - 46]', '[5266, 5266, -w^3 + 5*w^2 + 7*w - 13]', '[5266, 5266, -3*w^2 + 12*w - 7]', '[5266, 5266, -7*w^2 + 12*w + 6]', '[5266, 5266, -7*w^2 + 2*w + 11]', '[5266, 5266, -3*w^2 - 6*w + 2]', '[5266, 5266, w^3 + 2*w^2 - 14*w - 2]', '[5266, 5266, -8*w^3 + 5*w^2 + 36*w + 13]', '[5272, 1318, 11*w^3 - 30*w^2 - 32*w + 87]', '[5272, 1318, 7*w^3 + w^2 - 39*w - 36]', '[5272, 1318, -3*w^3 + 3*w^2 + 7*w + 4]', '[5272, 1318, w^3 - 2*w^2 + 4*w - 7]', '[5272, 2636, -9*w^3 + 24*w^2 + 25*w - 68]', '[5272, 2636, 3*w^3 - 8*w^2 + w + 8]', '[5272, 2636, -5*w^3 - w^2 + 30*w + 28]', '[5272, 2636, -w^3 + 3*w^2 - 6*w - 4]', '[5272, 5272, -5*w^2 + 8*w + 12]', '[5272, 5272, -w^2 + 2*w + 11]', '[5272, 5272, -w^2 + 12]', '[5272, 5272, -5*w^2 + 2*w + 15]', '[5279, 5279, -w^3 - 3*w^2 + 4*w + 13]', '[5279, 5279, 9*w^3 - 19*w^2 - 32*w + 53]', '[5288, 1322, -3*w^3 + 2*w^2 + 12*w - 11]', '[5288, 1322, w^3 - 7*w^2 + 5*w + 16]', '[5288, 1322, 7*w^3 - 15*w^2 - 19*w + 24]', '[5288, 1322, -3*w^3 + 8*w^2 + 4*w - 5]', '[5288, 1322, -7*w^3 + 6*w^2 + 28*w - 3]', '[5288, 1322, -3*w^3 + w^2 + 11*w - 4]', '[5288, 1322, -w^3 - 4*w^2 + 6*w + 15]', '[5288, 1322, -w^3 - w^2 - w + 8]', '[5288, 2644, w^3 - 2*w^2 + w - 10]', '[5288, 2644, -3*w^3 + 3*w^2 + 20*w - 16]', '[5288, 2644, -12*w^3 + 19*w^2 + 47*w - 34]', '[5288, 2644, -3*w^3 + 4*w^2 + 3*w - 6]', '[5288, 2644, -15*w^3 + 32*w^2 + 51*w - 80]', '[5288, 2644, -12*w^3 + 17*w^2 + 49*w - 20]', '[5288, 2644, 3*w^3 - 6*w^2 - 17*w + 4]', '[5288, 2644, -w^3 + w^2 - 10]', '[5288, 5288, 5*w^3 - 2*w^2 - 30*w - 4]', '[5288, 5288, -6*w^3 + 12*w^2 + 19*w - 26]', '[5288, 5288, 2*w^3 - 7*w^2 - 10*w + 15]', '[5288, 5288, 4*w^3 - 5*w^2 - 14*w + 3]', '[5288, 5288, 4*w^3 - 7*w^2 - 12*w + 12]', '[5288, 5288, 2*w^3 + w + 2]', '[5288, 5288, 6*w^3 - 6*w^2 - 25*w - 1]', '[5288, 5288, -5*w^3 + 13*w^2 + 19*w - 31]', '[5303, 5303, 5*w^3 - 11*w^2 - 12*w + 13]', '[5303, 5303, 5*w^3 - 4*w^2 - 19*w + 5]', '[5308, 2654, 2*w^3 - 7*w^2 + 3*w + 9]', '[5308, 2654, 2*w^3 - 5*w^2 + 3*w - 4]', '[5308, 2654, -2*w^3 + w^2 + w - 4]', '[5308, 2654, -2*w^3 - w^2 + 5*w + 7]', '[5308, 5308, 2*w^3 - 8*w^2 - 3*w + 22]', '[5308, 5308, w^3 + 3*w^2 - 11*w - 1]', '[5308, 5308, w^3 - 6*w^2 - 2*w + 8]', '[5308, 5308, 2*w^3 + 2*w^2 - 13*w - 13]', '[5312, 332, 12*w^3 - 26*w^2 - 42*w + 64]', '[5312, 332, 3*w^3 - 8*w^2 - 12*w + 15]', '[5312, 332, -9*w^3 + 19*w^2 + 33*w - 54]', '[5312, 332, -2*w^2 - 6*w + 10]', '[5312, 332, -12*w^3 + 10*w^2 + 58*w + 8]', '[5312, 332, -9*w^3 + 8*w^2 + 44*w + 11]', '[5312, 332, 3*w^3 - w^2 - 19*w + 2]', '[5312, 332, -2*w^2 + 10*w + 2]', '[5312, 664, -10*w^3 + 21*w^2 + 33*w - 50]', '[5312, 664, -4*w^3 + 7*w^2 + 9*w - 13]', '[5312, 664, 8*w^3 - 20*w^2 - 22*w + 44]', '[5312, 664, -4*w^3 + 8*w^2 + 10*w - 4]', '[5312, 664, -4*w^3 + 4*w^2 + 14*w - 10]', '[5312, 664, 8*w^3 - 4*w^2 - 38*w - 10]', '[5312, 664, 4*w^3 - 5*w^2 - 11*w - 1]', '[5312, 664, 10*w^3 - 9*w^2 - 45*w - 6]', '[5312, 1328, 9*w^3 - 9*w^2 - 39*w - 10]', '[5312, 1328, -5*w^3 + 9*w^2 + 22*w - 32]', '[5312, 1328, -3*w^3 + 2*w^2 + 14*w - 3]', '[5312, 1328, w^3 + 3*w^2 - 14*w]', '[5312, 1328, w^3 - 6*w^2 - 5*w + 10]', '[5312, 1328, -3*w^3 + 7*w^2 + 9*w - 10]', '[5312, 1328, -5*w^3 + 6*w^2 + 25*w + 6]', '[5312, 1328, 9*w^3 - 18*w^2 - 30*w + 49]', '[5312, 2656, -6*w^3 + w^2 + 35*w + 10]', '[5312, 2656, 2*w^3 - w^2 - 11*w + 6]', '[5312, 2656, 2*w^3 - 5*w^2 - 7*w + 4]', '[5312, 2656, -6*w^3 + 17*w^2 + 19*w - 40]', '[5312, 5312, -3*w^3 + 4*w^2 + 6*w - 12]', '[5312, 5312, 3*w^3 - 7*w^2 - 15*w + 27]', '[5312, 5312, -3*w^3 + 2*w^2 + 20*w + 8]', '[5312, 5312, 3*w^3 - 5*w^2 - 5*w - 5]', '[5323, 5323, -9*w^3 + 11*w^2 + 38*w - 5]', '[5323, 5323, 9*w^3 - 16*w^2 - 33*w + 35]', '[5339, 5339, -5*w^3 + 14*w^2 + w - 9]', '[5339, 5339, -3*w^3 + 4*w^2 + 17*w - 19]', '[5339, 5339, 4*w^3 - 10*w^2 - 10*w + 17]', '[5339, 5339, -w^3 + 6*w^2 - w - 11]', '[5339, 5339, -w^3 - 3*w^2 + 8*w + 7]', '[5339, 5339, -4*w^3 + 2*w^2 + 18*w + 1]', '[5339, 5339, 3*w^3 - 5*w^2 - 16*w - 1]', '[5339, 5339, 5*w^3 - w^2 - 14*w + 1]', '[5342, 5342, -5*w^3 + 17*w^2 + w - 19]', '[5342, 5342, -2*w^3 - 3*w^2 + 10*w + 1]', '[5342, 5342, 2*w^3 - 9*w^2 + 2*w + 6]', '[5342, 5342, 5*w^3 + 2*w^2 - 20*w - 6]', '[5347, 5347, -4*w^3 + 12*w^2 + 12*w - 37]', '[5347, 5347, -5*w^3 + 11*w^2 + 20*w - 31]', '[5347, 5347, 5*w^3 - 4*w^2 - 27*w - 5]', '[5347, 5347, 4*w^3 - 24*w - 17]', '[5351, 5351, 5*w^3 - 14*w^2 - 13*w + 33]', '[5351, 5351, -7*w^3 + 20*w^2 + 17*w - 55]', '[5353, 5353, -7*w^3 + 8*w^2 + 29*w - 9]', '[5353, 5353, 7*w^3 - 13*w^2 - 24*w + 21]', '[5354, 5354, -2*w^3 + w^2 + 16*w - 17]', '[5354, 5354, -w^3 + 5*w^2 + 3*w - 5]', '[5354, 5354, w^3 + 2*w^2 - 10*w + 2]', '[5354, 5354, 6*w^3 - 12*w^2 - 19*w + 24]', '[5381, 5381, -2*w^3 + 4*w^2 + 5]', '[5381, 5381, -12*w^3 + 12*w^2 + 56*w + 1]', '[5381, 5381, 12*w^3 - 24*w^2 - 44*w + 57]', '[5381, 5381, 5*w^3 - 8*w^2 - 23*w + 21]', '[5387, 5387, -4*w^3 + 10*w^2 + 8*w - 13]', '[5387, 5387, -4*w^3 + 2*w^2 + 16*w - 1]', '[5393, 5393, 5*w^3 - 6*w^2 - 25*w - 3]', '[5393, 5393, 2*w^3 - 10*w + 3]', '[5393, 5393, -2*w^3 + 6*w^2 + 4*w - 5]', '[5393, 5393, 5*w^3 - 9*w^2 - 22*w + 29]', '[5398, 5398, 3*w^3 + 2*w^2 - 22*w - 10]', '[5398, 5398, 3*w^3 - w^2 - 13*w + 1]', '[5398, 5398, -6*w^3 + 8*w^2 + 27*w - 9]', '[5398, 5398, -2*w^3 - 3*w^2 + 8*w + 10]', '[5398, 5398, 2*w^3 - 9*w^2 + 4*w + 13]', '[5398, 5398, 4*w^3 - 8*w^2 - w + 4]', '[5398, 5398, -3*w^3 + 8*w^2 + 6*w - 10]', '[5398, 5398, -3*w^3 + 11*w^2 + 9*w - 27]', '[5408, 52, -3*w^3 + 3*w^2 + 17*w]', '[5408, 52, 3*w^3 - 6*w^2 - 14*w + 17]', '[5408, 52, -11*w^3 + 22*w^2 + 38*w - 49]', '[5408, 52, 11*w^3 - 11*w^2 - 49*w]', '[5408, 52, 4*w^3 - 4*w^2 - 14*w]', '[5408, 52, -8*w^3 + 8*w^2 + 38*w]', '[5408, 52, -4*w^3 + 8*w^2 + 10*w - 14]', '[5408, 52, 8*w^3 - 16*w^2 - 30*w + 38]', '[5408, 104, 7*w^3 - 7*w^2 - 30*w]', '[5408, 104, -w^3 + w^2 + 10*w]', '[5408, 104, -w^3 - 6*w^2 + 4*w + 5]', '[5408, 104, -3*w^3 + 2*w^2 + 12*w - 5]', '[5408, 104, -w^3 + 9*w^2 - 11*w - 2]', '[5408, 104, -7*w^3 + 14*w^2 + 23*w - 30]', '[5408, 104, -3*w^3 + 7*w^2 + 7*w - 6]', '[5408, 104, w^3 - 2*w^2 - 9*w + 10]', '[5408, 208, w^3 + 2*w^2 - 11*w + 2]', '[5408, 208, -3*w^3 - 3*w^2 + 10*w + 8]', '[5408, 208, -3*w^3 + 12*w^2 - 5*w - 12]', '[5408, 208, w^3 - 5*w^2 - 4*w + 6]', '[5408, 416, -2*w^3 + 3*w^2 + 2*w - 8]', '[5408, 416, -4*w^3 + w^2 + 4*w + 4]', '[5408, 416, 4*w^3 - 11*w^2 + 6*w + 5]', '[5408, 416, 2*w^3 - 3*w^2 - 2*w - 5]', '[5414, 5414, -2*w^3 + 2*w^2 + 3*w - 12]', '[5414, 5414, 9*w^3 - 6*w^2 - 44*w - 18]', '[5414, 5414, 3*w^2 - 4*w - 18]', '[5414, 5414, -4*w^3 + 7*w^2 + 12*w - 10]', '[5414, 5414, 4*w^3 - 5*w^2 - 14*w + 5]', '[5414, 5414, -3*w^2 + 2*w + 19]', '[5414, 5414, 9*w^3 - 21*w^2 - 29*w + 59]', '[5414, 5414, -2*w^3 + 4*w^2 + w + 9]', '[5419, 5419, 4*w^3 - 6*w^2 - 16*w + 21]', '[5419, 5419, 4*w^3 - 2*w^2 - 22*w - 1]', '[5419, 5419, -4*w^3 + 10*w^2 + 14*w - 21]', '[5419, 5419, -4*w^3 + 6*w^2 + 16*w + 3]', '[5422, 5422, 2*w^3 - 17*w - 4]', '[5422, 5422, -2*w^2 - 5*w + 4]', '[5422, 5422, -2*w^2 + 9*w - 3]', '[5422, 5422, -2*w^3 + 6*w^2 + 11*w - 19]', '[5427, 201, -3*w^3 + 3*w^2 + 12*w - 9]', '[5427, 201, -3*w^3 + 6*w^2 + 9*w - 3]', '[5441, 5441, 5*w^3 - 9*w^2 - 20*w + 25]', '[5441, 5441, -5*w^3 + 6*w^2 + 23*w + 1]', '[5449, 5449, -5*w^3 + 6*w^2 + 21*w - 9]', '[5449, 5449, 8*w^3 - 18*w^2 - 28*w + 53]', '[5449, 5449, -8*w^3 + 6*w^2 + 40*w + 15]', '[5449, 5449, 5*w^3 - 9*w^2 - 18*w + 13]', '[5458, 5458, 5*w^2 - 6*w - 17]', '[5458, 5458, -9*w^3 + 23*w^2 + 27*w - 59]', '[5458, 5458, 4*w^3 - 8*w^2 - 17*w + 16]', '[5458, 5458, -5*w^2 + 4*w + 18]', '[5459, 5459, 2*w^3 + 2*w^2 - 10*w - 9]', '[5459, 5459, -2*w^3 + 8*w^2 - 15]', '[5461, 5461, 7*w^3 - 9*w^2 - 26*w + 15]', '[5461, 5461, 3*w^3 - 19*w - 13]', '[5461, 5461, -w^3 - w^2 + 10*w + 13]', '[5461, 5461, 3*w^3 + 2*w^2 - 19*w - 19]', '[5461, 5461, 3*w^3 - 11*w^2 - 6*w + 33]', '[5461, 5461, w^3 - 4*w^2 - 5*w + 21]', '[5461, 5461, -3*w^3 + 9*w^2 + 10*w - 29]', '[5461, 5461, -7*w^3 + 12*w^2 + 23*w - 13]', '[5476, 74, w^3 + 5*w^2 - 12*w - 22]', '[5476, 74, -w^3 + 8*w^2 - w - 28]', '[5476, 74, -2*w^3 + 11*w^2 - 9*w - 7]', '[5476, 74, 2*w^3 + 5*w^2 - 7*w - 7]', '[5476, 148, -w^3 - w^2 + 11*w + 7]', '[5476, 148, 2*w^3 + w^2 + 5]', '[5476, 148, 2*w^3 - 7*w^2 + 8*w - 8]', '[5476, 148, -w^3 + 4*w^2 + 6*w - 16]', '[5482, 5482, 3*w^3 - 3*w^2 - 17*w + 11]', '[5482, 5482, 2*w^2 - 9*w]', '[5482, 5482, -2*w^2 - 7*w]', '[5482, 5482, -3*w^3 + w^2 + 13*w + 11]', '[5482, 5482, -3*w^3 + 8*w^2 + 6*w - 22]', '[5482, 5482, -2*w^2 + 11*w - 9]', '[5482, 5482, 2*w^2 + 5*w - 7]', '[5482, 5482, -3*w^3 + 6*w^2 + 14*w - 6]', '[5491, 323, 3*w^3 - 2*w^2 - 17*w - 11]', '[5491, 323, -3*w^3 + 7*w^2 + 12*w - 27]', '[5492, 2746, 4*w^3 - 13*w^2 - 11*w + 40]', '[5492, 2746, -2*w^3 - w^2 + w + 7]', '[5492, 2746, 4*w^3 + w^2 - 25*w - 20]', '[5492, 2746, -2*w^3 + 7*w^2 - 7*w - 5]', '[5492, 5492, -2*w^3 + 3*w - 7]', '[5492, 5492, 4*w^3 - 12*w^2 - 9*w + 26]', '[5492, 5492, -4*w^3 + 21*w + 9]', '[5492, 5492, 2*w^3 - 6*w^2 + 3*w - 6]', '[5504, 172, 2*w^3 - 16*w + 6]', '[5504, 172, -2*w^3 + 6*w^2 + 2*w - 16]', '[5504, 172, 2*w^3 + 2*w^2 - 10*w - 8]', '[5504, 172, 2*w^3 - 8*w^2 - 4*w + 18]', '[5504, 172, -2*w^3 - 2*w^2 + 14*w + 8]', '[5504, 172, -2*w^3 + 8*w^2 - 14]', '[5504, 172, -2*w^3 + 6*w^2 + 10*w - 8]', '[5504, 172, -2*w^3 + 8*w + 10]', '[5504, 344, -4*w^3 + 10*w^2 + 6*w - 8]', '[5504, 344, w^3 - 4*w^2 + 8*w + 1]', '[5504, 344, w^3 - 5*w^2 - 3*w + 20]', '[5504, 344, -w^3 - 2*w^2 + 2*w - 3]', '[5504, 344, -2*w^3 + 2*w^2 + 8*w - 12]', '[5504, 344, -w^3 + 12*w - 9]', '[5504, 344, 2*w^2 - 6*w + 8]', '[5504, 344, w^3 + 4*w^2 - 8*w - 23]', '[5504, 344, -3*w^3 + 6*w^2 + 10*w - 21]', '[5504, 344, -w^3 + w^2 + 7*w + 8]', '[5504, 344, -3*w^3 + 8*w^2 + 12*w - 27]', '[5504, 344, 2*w^2 - 6*w - 8]', '[5504, 344, w^3 - 2*w^2 - 6*w + 15]', '[5504, 344, 3*w^3 - 3*w^2 - 13*w - 8]', '[5504, 344, -3*w^3 + w^2 + 19*w + 10]', '[5504, 344, -2*w^2 - 2*w + 12]', '[5504, 344, 2*w^2 + 2*w + 4]', '[5504, 344, w^3 - 7*w^2 + 3*w + 26]', '[5504, 344, 2*w^3 - 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15]', '[5687, 517, w^3 - 3*w^2 - 5]', '[5687, 517, -w^3 + 6*w^2 + 7*w - 15]', '[5687, 517, -w^3 - 3*w^2 + 16*w + 3]', '[5687, 517, -w^3 + 3*w - 7]', '[5687, 517, -2*w^3 + 8*w^2 + 4*w - 21]', '[5687, 517, -5*w^3 + 8*w^2 + 15*w - 3]', '[5693, 5693, 7*w^3 - 16*w^2 - 19*w + 33]', '[5693, 5693, 7*w^3 - 5*w^2 - 30*w - 5]', '[5708, 2854, -3*w^3 + 4*w^2 + 17*w - 20]', '[5708, 2854, 6*w^3 - 15*w^2 - 15*w + 29]', '[5708, 2854, -7*w^3 + 9*w^2 + 28*w - 6]', '[5708, 2854, -4*w^3 + 9*w^2 + w - 3]', '[5708, 2854, -7*w^3 + 12*w^2 + 25*w - 24]', '[5708, 2854, -4*w^3 + 3*w^2 + 7*w - 3]', '[5708, 2854, 7*w^3 - 4*w^2 - 33*w - 20]', '[5708, 2854, 4*w^3 - 13*w^2 + 3*w + 1]', '[5708, 5708, 2*w^3 - 13*w + 2]', '[5708, 5708, -3*w^3 + 4*w^2 + 14*w - 16]', '[5708, 5708, -8*w^3 + 15*w^2 + 28*w - 31]', '[5708, 5708, -5*w^2 - 4*w + 5]', '[5708, 5708, -5*w^2 + 14*w - 4]', '[5708, 5708, -3*w^3 + 14*w^2 - 12*w - 12]', '[5708, 5708, 3*w^3 - 5*w^2 - 13*w - 1]', '[5708, 5708, -6*w^3 + 5*w^2 + 24*w + 9]', '[5711, 5711, 4*w^2 - 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7*w]', '[5762, 5762, -3*w^3 + 4*w^2 + 14*w - 14]', '[5762, 5762, 11*w^3 - 10*w^2 - 50*w - 10]', '[5762, 5762, 6*w^3 - 12*w^2 - 21*w + 23]', '[5762, 5762, -4*w^3 + 5*w^2 + 6*w - 6]', '[5776, 38, -4*w^2 + 4*w + 22]', '[5776, 38, 4*w^2 - 4*w + 2]', '[5776, 76, 3*w^3 - 9*w^2 - w + 14]', '[5776, 76, 7*w^2 - 7*w - 6]', '[5776, 76, -5*w^3 + w^2 + 11*w - 2]', '[5776, 76, 5*w^2 - 5*w - 7]', '[5776, 76, 5*w^2 - 5*w - 18]', '[5776, 76, 5*w^2 - 5*w + 1]', '[5776, 76, 3*w^3 - 10*w - 7]', '[5776, 76, -5*w^3 + 14*w^2 - 2*w - 5]', '[5776, 152, -4*w^3 + 15*w^2 - 13*w - 4]', '[5776, 152, w^3 + 3*w + 4]', '[5776, 152, -4*w^3 - 3*w^2 + 5*w + 6]', '[5776, 152, w^3 - 3*w^2 + 6*w - 8]', '[5776, 304, w^3 - 5*w^2 - 5*w + 17]', '[5776, 304, -3*w^3 + 5*w^2 + 5*w - 11]', '[5776, 304, w^3 + 2*w^2 - 12*w - 8]', '[5776, 304, -3*w^3 + 4*w^2 + 6*w + 4]', '[5776, 722, -2*w^3 + 2*w^2 + 4*w + 6]', '[5776, 722, -2*w^3 + 4*w^2 + 2*w - 10]', '[5776, 1444, -w^3 + 5*w^2 + 5*w - 6]', '[5776, 1444, 3*w^2 - 7*w - 9]', '[5776, 1444, -w^3 + 4*w^2 - 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14*w - 1]', '[5812, 5812, 2*w^3 + 3*w^2 - 14*w - 19]', '[5813, 5813, 5*w^3 - 6*w^2 - 23*w - 5]', '[5813, 5813, -3*w^3 + 4*w^2 + 15*w - 15]', '[5813, 5813, 3*w^3 - 5*w^2 - 14*w + 1]', '[5813, 5813, -8*w^3 + 8*w^2 + 34*w - 3]', '[5816, 1454, w^3 - 7*w^2 - 7*w + 16]', '[5816, 1454, -w^3 + 6*w^2 - 13]', '[5816, 1454, w^3 + 4*w - 1]', '[5816, 1454, 3*w^3 - 3*w^2 - 15*w + 8]', '[5816, 1454, -w^3 + 3*w^2 - 7*w + 4]', '[5816, 1454, 3*w^3 - 6*w^2 - 12*w + 7]', '[5816, 1454, -w^3 - 4*w^2 + 18*w + 3]', '[5816, 1454, -w^3 - 3*w^2 + 9*w + 8]', '[5816, 2908, -5*w^3 + 4*w^2 + 13*w - 10]', '[5816, 2908, -3*w^3 + 7*w^2 + 8*w - 8]', '[5816, 2908, -4*w^3 + 9*w^2 + w - 6]', '[5816, 2908, w^3 - 3*w^2 - 2*w - 4]', '[5816, 2908, w^3 - 5*w + 8]', '[5816, 2908, 4*w^3 - 3*w^2 - 7*w]', '[5816, 2908, -3*w^3 + 2*w^2 + 13*w - 4]', '[5816, 2908, 5*w^3 - 11*w^2 - 6*w + 2]', '[5816, 5816, 4*w^3 - 5*w^2 - 6*w]', '[5816, 5816, 4*w^3 - 2*w^2 - 11*w + 2]', '[5816, 5816, -2*w^3 - w^2 + 10*w + 16]', '[5816, 5816, -4*w^2 - w + 14]', '[5816, 5816, -4*w^2 + 9*w + 9]', '[5816, 5816, 2*w^3 - 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6*w - 11]', '[5891, 5891, -2*w^3 + 4*w^2 + 4*w + 5]', '[5897, 5897, w^3 - 5*w^2 - 6*w + 17]', '[5897, 5897, -3*w^3 + 3*w^2 + 12*w - 11]', '[5903, 5903, 8*w^3 - 16*w^2 - 28*w + 41]', '[5903, 5903, -8*w^3 + 8*w^2 + 36*w + 5]', '[5912, 1478, 3*w^3 - w^2 - 17*w]', '[5912, 1478, -3*w^3 + 4*w^2 + 16*w - 17]', '[5912, 1478, 7*w^3 - 18*w^2 - 24*w + 59]', '[5912, 1478, 5*w^3 - w^2 - 25*w - 24]', '[5912, 2956, 4*w^3 - 11*w^2 - 7*w + 16]', '[5912, 2956, -7*w^3 + 20*w^2 + 15*w - 48]', '[5912, 2956, -3*w^3 + 6*w^2 + 9*w - 2]', '[5912, 2956, -3*w^3 - 3*w^2 + 22*w + 20]', '[5912, 5912, -4*w^3 + 13*w^2 - 8*w + 4]', '[5912, 5912, 2*w^3 - 7*w^2 + 2*w + 11]', '[5912, 5912, 7*w^3 - 12*w^2 - 24*w + 16]', '[5912, 5912, 6*w^3 - 10*w^2 - 25*w + 19]', '[5914, 5914, 5*w^3 - 9*w^2 - 21*w + 27]', '[5914, 5914, -w^3 + 5*w^2 + 3*w - 21]', '[5914, 5914, 6*w^3 - 15*w^2 - 16*w + 39]', '[5914, 5914, -4*w^3 + 9*w^2 + 14*w - 17]', '[5914, 5914, -4*w^3 + 3*w^2 + 20*w - 2]', '[5914, 5914, 5*w^3 - 12*w^2 - 18*w + 26]', '[5914, 5914, w^3 + 2*w^2 - 10*w - 14]', '[5914, 5914, 2*w^3 - 10*w^2 - 7*w + 28]', '[5924, 2962, -6*w^3 + 11*w^2 + 23*w - 28]', '[5924, 2962, -7*w^2 + 11*w - 1]', '[5924, 2962, -7*w^2 + 3*w + 3]', '[5924, 2962, 6*w^3 - 7*w^2 - 27*w]', '[5924, 5924, -6*w^3 + 2*w^2 + 21*w + 5]', '[5924, 5924, 2*w^2 - 9*w + 2]', '[5924, 5924, -2*w^2 - 5*w + 5]', '[5924, 5924, -6*w^3 + 16*w^2 + 7*w - 22]', '[5929, 77, 10*w^3 - 10*w^2 - 46*w - 3]', '[5929, 77, 4*w^3 - 4*w^2 - 14*w + 1]', '[5929, 77, -4*w^3 + 8*w^2 + 10*w - 13]', '[5929, 77, 10*w^3 - 20*w^2 - 36*w + 49]', '[5942, 5942, 2*w^3 - 2*w^2 - 3*w - 5]', '[5942, 5942, -6*w^3 + 14*w^2 + 13*w - 29]', '[5942, 5942, w^3 - 4*w^2 - 4*w + 22]', '[5942, 5942, 2*w^3 - 4*w^2 - w + 8]', '[5948, 2974, -2*w^3 + 3*w^2 - w + 4]', '[5948, 2974, -2*w^3 + 5*w^2 - w - 7]', '[5948, 2974, 2*w^3 - w^2 - 3*w - 5]', '[5948, 2974, 2*w^3 - 3*w^2 + w + 4]', '[5948, 5948, -2*w^3 + 8*w^2 + w - 18]', '[5948, 5948, -4*w^3 + 9*w^2 + 4*w - 13]', '[5948, 5948, 4*w^3 - 3*w^2 - 10*w - 4]', '[5948, 5948, -2*w^3 - 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9*w^2 - 4*w + 9]', '[9941, 9941, 3*w^3 - w^2 - 20*w + 5]', '[9941, 9941, -10*w^3 + 6*w^2 + 46*w + 17]', '[9946, 9946, -4*w^3 + 5*w^2 + 8*w - 7]', '[9946, 9946, 5*w^3 - 6*w^2 - 14*w - 2]', '[9946, 9946, 4*w^3 - 3*w^2 - 10*w + 2]', '[9946, 9946, -5*w^3 + 13*w^2 + 3*w - 13]', '[9946, 9946, 5*w^3 - 2*w^2 - 14*w - 2]', '[9946, 9946, -4*w^3 + 9*w^2 + 4*w - 7]', '[9946, 9946, -5*w^3 + 9*w^2 + 11*w - 17]', '[9946, 9946, 4*w^3 - 7*w^2 - 6*w + 2]', '[9964, 4982, 2*w^3 + w^2 - 11*w + 5]', '[9964, 4982, -w^3 + 8*w^2 - w - 8]', '[9964, 4982, -3*w^3 + 6*w^2 + 11*w]', '[9964, 4982, 4*w^3 - w^2 - 21*w - 3]', '[9964, 4982, 4*w^3 - 11*w^2 - 11*w + 21]', '[9964, 4982, -3*w^3 + 3*w^2 + 14*w - 14]', '[9964, 4982, 2*w^3 - 7*w^2 - 3*w + 3]', '[9964, 4982, -w^3 - 5*w^2 + 12*w + 2]', '[9964, 9964, -4*w^3 - w^2 + 12*w + 8]', '[9964, 9964, -6*w^2 - w + 2]', '[9964, 9964, 3*w^3 - 9*w^2 - 5*w + 11]', '[9964, 9964, 4*w^3 - 5*w + 2]', '[9964, 9964, -4*w^3 + 12*w^2 - 7*w + 1]', '[9964, 9964, 3*w^3 - 14*w]', '[9964, 9964, 6*w^2 - 13*w + 5]', '[9964, 9964, 4*w^3 - 13*w^2 + 2*w + 15]', '[9992, 2498, -3*w^3 + 6*w^2 + 16*w - 7]', '[9992, 2498, -w^3 + 7*w^2 + w - 8]', '[9992, 2498, w^3 - 2*w^2 - 12*w - 11]', '[9992, 2498, -3*w^3 + w^2 + 3*w - 4]', '[9992, 4996, -10*w^3 + 19*w^2 + 37*w - 38]', '[9992, 4996, 7*w^2 - 9*w - 34]', '[9992, 4996, 5*w^3 - 4*w^2 - 17*w + 4]', '[9992, 4996, -5*w^3 - 2*w^2 + 19*w + 12]', '[9992, 9992, -7*w^3 + 13*w^2 + 21*w - 31]', '[9992, 9992, -w^3 + 9*w^2 + 3*w - 23]', '[9992, 9992, -4*w^3 + 8*w^2 + 19*w - 26]', '[9992, 9992, -2*w^3 + 4*w^2 + 7*w - 18]', '[9994, 9994, 2*w^3 - 11*w^2 + 2*w + 34]', '[9994, 9994, 7*w^3 - 18*w^2 - 20*w + 54]', '[9994, 9994, 2*w^3 - 10*w^2 + 9*w + 12]', '[9994, 9994, -3*w^2 - 2*w + 14]', '[9994, 9994, 3*w^2 - 8*w - 9]', '[9994, 9994, 2*w^3 + 4*w^2 - 5*w - 13]', '[9994, 9994, -7*w^3 + 3*w^2 + 35*w + 23]', '[9994, 9994, -2*w^3 - 5*w^2 + 14*w + 27]', '[10000, 10, 10]', '[10000, 20, 5*w^3 - 5*w^2 - 15*w + 10]', '[10000, 20, -5*w^2 + 5*w + 15]', '[10000, 20, -5*w^2 + 5*w + 10]', '[10000, 20, 5*w^3 - 10*w^2 - 10*w + 5]', '[10000, 40, -5*w^2 + 15*w]', '[10000, 40, 5*w^2 + 5*w - 10]', '[10000, 80, -5*w^3 + 15*w^2 + 15*w - 45]', '[10000, 80, -5*w^3 + 30*w + 20]'], 'label': '4.4.15317.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[2, 2, -w + 1]', '[4, 2, -w^2 + w + 1]', '[19, 19, -w^3 + 5*w + 3]', '[19, 19, w^3 - 3*w^2 - 2*w + 7]', '[43, 43, -w^3 + 3*w^2 + 2*w - 5]', '[43, 43, -w^3 + w^2 + 2*w - 1]', '[43, 43, w^3 - 2*w^2 - w + 1]', '[43, 43, -w^3 + 5*w + 1]', '[47, 47, -w^3 + w^2 + 2*w + 1]', '[47, 47, w^3 - 5*w - 5]', '[47, 47, -w^3 + 3*w^2 + 2*w - 9]', '[47, 47, w^3 - 2*w^2 - w + 3]', '[49, 7, -w^3 + w^2 + 6*w + 1]', '[49, 7, -w^3 + 2*w^2 + 5*w - 7]', '[53, 53, 2*w - 1]', '[67, 67, -w^3 + w^2 + 4*w - 3]', '[67, 67, -w^3 + 2*w^2 + 3*w - 1]', '[81, 3, -3]', '[83, 83, 2*w^3 - 4*w^2 - 6*w + 9]', '[83, 83, -2*w^3 + 2*w^2 + 8*w + 1]', '[101, 101, w^3 - 2*w^2 - 5*w + 3]', '[101, 101, 4*w^3 - 10*w^2 - 12*w + 25]', '[103, 103, -2*w^3 + 4*w^2 + 6*w - 7]', '[103, 103, -2*w^3 + 2*w^2 + 8*w - 1]', '[121, 11, -w^3 + 4*w^2 + w - 13]', '[121, 11, w^3 + w^2 - 6*w - 9]', '[127, 127, -4*w^3 + 4*w^2 + 18*w - 1]', '[127, 127, 4*w^3 - 8*w^2 - 14*w + 17]', '[137, 137, w^3 - 2*w^2 - 5*w + 1]', '[137, 137, -w^3 + w^2 + 6*w - 5]', '[151, 151, 2*w^3 - 4*w^2 - 8*w + 9]', '[151, 151, -3*w^3 + 8*w^2 + 9*w - 21]', '[157, 157, 2*w^3 - 2*w^2 - 10*w + 3]', '[157, 157, -2*w^3 + 4*w^2 + 8*w - 7]', '[169, 13, 2*w^2 - 2*w - 7]', '[169, 13, 2*w^2 - 2*w - 3]', '[179, 179, -w^3 + w^2 + 6*w - 1]', '[179, 179, -w^3 + 2*w^2 + 5*w - 5]', '[191, 191, 5*w^3 - 11*w^2 - 16*w + 27]', '[191, 191, -5*w^3 + 4*w^2 + 23*w + 5]', '[223, 223, 2*w^2 - 4*w - 5]', '[223, 223, w^3 - 3*w - 3]', '[223, 223, -w^3 + 3*w^2 - 5]', '[223, 223, 3*w^3 - 3*w^2 - 14*w - 3]', '[229, 229, 2*w^3 - 4*w^2 - 6*w + 5]', '[229, 229, w^3 - 4*w^2 - w + 11]', '[229, 229, w^3 + w^2 - 6*w - 7]', '[229, 229, -2*w^3 + 2*w^2 + 8*w - 3]', '[239, 239, -3*w^3 + 4*w^2 + 13*w - 3]', '[239, 239, 3*w^3 - 5*w^2 - 12*w + 11]', '[251, 251, -2*w^3 + 4*w^2 + 4*w - 7]', '[251, 251, -2*w^3 + 2*w^2 + 6*w + 1]', '[257, 257, -3*w^3 + 8*w^2 + 7*w - 19]', '[257, 257, 3*w^3 - w^2 - 14*w - 7]', '[263, 263, -w^3 + 7*w - 1]', '[263, 263, -w^3 + 3*w^2 + 4*w - 5]', '[281, 281, -w^3 + 7*w + 5]', '[281, 281, w^3 - 5*w + 1]', '[281, 281, -w^3 + 3*w^2 + 2*w - 3]', '[281, 281, w^3 - 3*w^2 - 4*w + 11]', '[289, 17, 2*w^2 - 2*w - 5]', '[349, 349, -3*w^3 + 2*w^2 + 15*w + 7]', '[349, 349, 3*w^3 - 7*w^2 - 10*w + 21]', '[353, 353, w^3 - 4*w^2 - w + 5]', '[353, 353, -w^3 - w^2 + 6*w + 1]', '[359, 359, -2*w^2 + 6*w + 3]', '[359, 359, -2*w^2 - 2*w + 7]', '[361, 19, 2*w^2 - 2*w + 1]', '[373, 373, 2*w^3 - 12*w - 9]', '[373, 373, -2*w^3 + 6*w^2 + 6*w - 19]', '[383, 383, -5*w^3 + 2*w^2 + 25*w + 13]', '[383, 383, -5*w^3 + 13*w^2 + 14*w - 35]', '[389, 389, 2*w^3 - 8*w - 5]', '[389, 389, 2*w^3 - 6*w^2 - 2*w + 11]', '[421, 421, -4*w^3 + 2*w^2 + 20*w + 11]', '[421, 421, -4*w^3 + 10*w^2 + 12*w - 29]', '[443, 443, w^3 - w^2 - 8*w - 5]', '[443, 443, w^3 - 2*w^2 - 7*w + 13]', '[457, 457, w^3 - w - 3]', '[457, 457, w^3 - 3*w^2 + 2*w + 3]', '[463, 463, w^3 - 4*w^2 - 3*w + 13]', '[463, 463, w^3 + w^2 - 8*w - 7]', '[467, 467, w^3 - 4*w^2 - w + 9]', '[467, 467, w^3 - 4*w^2 - 3*w + 17]', '[467, 467, w^3 + w^2 - 8*w - 11]', '[467, 467, w^3 + w^2 - 6*w - 5]', '[491, 491, 9*w^3 - 19*w^2 - 30*w + 47]', '[491, 491, -3*w^3 + 9*w^2 + 8*w - 29]', '[509, 509, -5*w^3 + 4*w^2 + 25*w + 5]', '[509, 509, 5*w^3 - 11*w^2 - 18*w + 29]', '[523, 523, -3*w^3 + 4*w^2 + 13*w - 7]', '[523, 523, -3*w^3 + 3*w^2 + 12*w + 1]', '[523, 523, 3*w^3 - 6*w^2 - 9*w + 13]', '[523, 523, -3*w^3 + 5*w^2 + 12*w - 7]', '[557, 557, 2*w - 7]', '[557, 557, -2*w - 5]', '[563, 563, 4*w^3 - 10*w^2 - 12*w + 23]', '[563, 563, -4*w^3 + 2*w^2 + 20*w + 5]', '[569, 569, 2*w^3 - 10*w - 9]', '[569, 569, -2*w^3 + 6*w^2 + 4*w - 17]', '[577, 577, 2*w^3 - 2*w^2 - 6*w - 3]', '[577, 577, 3*w^3 - 7*w^2 - 12*w + 23]', '[577, 577, 3*w^3 - 3*w^2 - 10*w + 7]', '[577, 577, -2*w^3 + 4*w^2 + 4*w - 9]', '[587, 587, 3*w^3 - w^2 - 16*w - 11]', '[587, 587, 5*w^3 - 9*w^2 - 18*w + 17]', '[587, 587, -5*w^3 + 6*w^2 + 21*w - 5]', '[587, 587, 3*w^3 - 8*w^2 - 9*w + 25]', '[613, 613, -3*w^3 + 6*w^2 + 9*w - 11]', '[613, 613, 3*w^3 - 3*w^2 - 12*w + 1]', '[625, 5, -5]', '[631, 631, -2*w^3 + 4*w^2 + 4*w - 5]', '[631, 631, -2*w^3 + 2*w^2 + 6*w - 1]', '[659, 659, -4*w^3 + 6*w^2 + 16*w - 11]', '[659, 659, -4*w^3 + 6*w^2 + 16*w - 7]', '[661, 661, -2*w^3 + 6*w^2 + 4*w - 19]', '[661, 661, 5*w^3 - 2*w^2 - 25*w - 15]', '[661, 661, 5*w^3 - 13*w^2 - 14*w + 37]', '[661, 661, -3*w^3 + w^2 + 10*w + 1]', '[701, 701, 3*w^3 - 7*w^2 - 10*w + 15]', '[701, 701, -3*w^3 + 2*w^2 + 15*w + 1]', '[727, 727, 2*w^3 - 2*w^2 - 4*w + 1]', '[727, 727, -4*w + 7]', '[727, 727, -4*w - 3]', '[727, 727, 2*w^3 - 4*w^2 - 2*w + 3]', '[739, 739, -w^3 + 2*w^2 - w + 3]', '[739, 739, -2*w^3 + 2*w^2 + 12*w - 7]', '[757, 757, -3*w^3 + 3*w^2 + 14*w - 3]', '[757, 757, w^3 + 4*w^2 - 9*w - 23]', '[757, 757, -w^3 + 7*w^2 - 2*w - 27]', '[757, 757, -3*w^3 + 6*w^2 + 11*w - 11]', '[761, 761, 4*w - 1]', '[761, 761, 4*w - 3]', '[769, 769, -w^3 + 3*w^2 + 4*w - 3]', '[769, 769, -w^3 + 7*w - 3]', '[773, 773, w^3 - w^2 - 4*w - 5]', '[773, 773, -w^3 + 2*w^2 + 3*w - 9]', '[797, 797, -3*w^3 + w^2 + 14*w + 3]', '[797, 797, 3*w^3 - 8*w^2 - 7*w + 15]', '[829, 829, -w^3 + 3*w^2 - 7]', '[829, 829, w^3 - 3*w - 5]', '[841, 29, -w^3 + w^2 + 8*w - 7]', '[841, 29, w^3 - 2*w^2 - 7*w + 1]', '[863, 863, 2*w^2 - 4*w - 7]', '[863, 863, -5*w^3 + 4*w^2 + 25*w + 3]', '[863, 863, 5*w^3 - 11*w^2 - 18*w + 27]', '[863, 863, 2*w^2 - 9]', '[883, 883, 2*w^3 - 2*w^2 - 10*w - 5]', '[883, 883, -2*w^3 + 4*w^2 + 8*w - 15]', '[919, 919, w^3 + w^2 - 4*w - 7]', '[919, 919, -w^3 + 4*w^2 - w - 9]', '[937, 937, 3*w^3 - 4*w^2 - 11*w + 5]', '[937, 937, w^3 + w^2 - 8*w - 9]', '[937, 937, -w^3 + 4*w^2 + 3*w - 15]', '[937, 937, -3*w^3 + 5*w^2 + 10*w - 7]', '[953, 953, w^3 - 2*w^2 - 3*w - 3]', '[953, 953, 5*w^3 - 11*w^2 - 18*w + 33]', '[953, 953, 3*w^3 - 3*w^2 - 10*w + 5]', '[953, 953, -w^3 + w^2 + 4*w - 7]', '[971, 971, -w^3 + 7*w - 5]', '[971, 971, 3*w^3 - 5*w^2 - 10*w + 3]', '[971, 971, -3*w^3 + 4*w^2 + 11*w - 9]', '[971, 971, w^3 - 3*w^2 - 4*w + 1]', '[977, 977, -2*w^3 + 2*w^2 + 10*w - 5]', '[977, 977, 2*w^3 - 4*w^2 - 8*w + 5]']}
• 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': [2, 5, -4, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 15317, 'disc_rad': 901, 'disc_sign': 1, 'frobs': [[2, [[2, 1], [1, 2]]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 1], [1, 2]]], [23, [[4, 1]]], [29, [[2, 2]]], [31, [[4, 1]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[1, 4]]], [47, [[1, 4]]], [53, [0]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 30.01666203960727, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.15317.1', 'local_algs': ['17.4.2.1', '53.2.0.1', '53.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [17, 53], 'rd': 11.1248311501, 'regulator': {'__RealLiteral__': 0, 'data': '15.164099755', 'prec': 40}, 'res': {'gal': ['43,32,-256,-34,201,6,-34,-2,1'], 'sib': ['4,-2,-9,-1,1', '43,32,-256,-34,201,6,-34,-2,1']}, 'subfield_mults': [1], 'subfields': ['-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 2 a^{2} - 3 a + 5 \\)', '\\( a^{3} - 2 a^{2} - 3 a + 3 \\)', '\\( a^{3} - a^{2} - 4 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}