Hilbert modular form data - 4.4.16448.1-20.1-a

Formats: - HTML - YAML - JSON - 2024-05-15T08:04:34.018764

• 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': 16448, 'field_bad_primes': [2, 257], 'field_label': '4.4.16448.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.16448.1-20.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2, 5], 'level_ideal': '[20, 10, -w^3 + 3*w^2 + 4*w - 2]', 'level_label': '20.1', 'level_norm': 20, 'parallel_weight': 2, 'short_label': '20.1-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', -1], ['[5, 5, -w^3 + 3*w^2 + 2*w - 1]', -1]], 'hecke_eigenvalues': [0, 1, 'e', 'e + 2', '-1/3*e^4 - 1/3*e^3 + 5*e^2 + 2*e - 10', '-1/9*e^4 - 1/3*e^3 + e^2 + 3*e', '-1/9*e^4 - 1/3*e^3 + 2*e^2 + 4*e - 8', '1/9*e^4 - 2*e^2 + 6', '1/3*e^4 + 1/3*e^3 - 4*e^2 - e + 4', '1/3*e^4 + e^3 - 5*e^2 - 9*e + 18', '1/9*e^4 - 2*e^2 - e + 10', '-2/9*e^4 - 1/3*e^3 + 3*e^2 + 4*e - 4', '1/9*e^4 - 1/3*e^3 - 2*e^2 + 3*e + 2', '4/9*e^4 + 1/3*e^3 - 7*e^2 - 4*e + 18', '-2/9*e^4 - 1/3*e^3 + 3*e^2 + 4*e - 4', '5/9*e^4 + 4/3*e^3 - 9*e^2 - 13*e + 28', '1/3*e^4 - 1/3*e^3 - 6*e^2 + 4*e + 12', '-7/9*e^4 - e^3 + 12*e^2 + 7*e - 30', '7/9*e^4 + 4/3*e^3 - 13*e^2 - 12*e + 38', '-1/9*e^4 + 1/3*e^3 + 3*e^2 - 2*e - 10', '-1/9*e^4 - 3*e + 8', '-2/3*e^4 - 4/3*e^3 + 12*e^2 + 14*e - 36', '1/3*e^4 + 1/3*e^3 - 6*e^2 - 5*e + 22', '5/9*e^4 + 2/3*e^3 - 9*e^2 - 9*e + 24', '5/9*e^4 + 2/3*e^3 - 8*e^2 - e + 12', '1/3*e^4 - 1/3*e^3 - 5*e^2 + 7*e + 10', '-1/9*e^4 - 1/3*e^3 + 4*e^2 + 5*e - 22', '1/3*e^3 + 2*e^2 - 5*e - 12', '1/9*e^4 + 4/3*e^3 - 2*e^2 - 13*e + 10', '1/3*e^4 + e^3 - 2*e^2 - 9*e - 4', '4/9*e^4 + 1/3*e^3 - 5*e^2 - e', '-1/9*e^4 + 1/3*e^3 - e^2 - 6*e + 20', '10/9*e^4 + 2*e^3 - 17*e^2 - 19*e + 54', '2/9*e^4 - e^3 - 5*e^2 + 12*e + 18', '7/9*e^4 + 4/3*e^3 - 13*e^2 - 15*e + 46', '-1/3*e^4 + 1/3*e^3 + 4*e^2 - 5*e - 2', '-10/9*e^4 - 4/3*e^3 + 17*e^2 + 13*e - 52', '-5/9*e^4 - e^3 + 8*e^2 + 11*e - 28', '-1/3*e^4 - 4/3*e^3 + 6*e^2 + 15*e - 26', '2/3*e^4 + 1/3*e^3 - 11*e^2 - 4*e + 32', '-14/9*e^4 - 5/3*e^3 + 25*e^2 + 13*e - 58', '4/9*e^4 + 2*e^3 - 4*e^2 - 19*e + 6', '-5/3*e^4 - 4/3*e^3 + 26*e^2 + 10*e - 60', '-1/9*e^4 - 2/3*e^3 + e^2 + 4*e + 4', '8/9*e^4 + 2*e^3 - 13*e^2 - 21*e + 38', '-2/3*e^4 + 1/3*e^3 + 9*e^2 - 5*e - 6', '-2/3*e^4 - 2/3*e^3 + 10*e^2 + 10*e - 24', '7/9*e^4 - 14*e^2 - 2*e + 36', '-7/9*e^4 + 11*e^2 - 7*e - 28', '1/3*e^4 - 1/3*e^3 - 5*e^2 + 5*e + 6', '2/9*e^4 - 1/3*e^3 - 6*e^2 + 24', '-7/9*e^4 - 4/3*e^3 + 11*e^2 + 11*e - 24', '-5/9*e^4 + 7*e^2 - 5*e - 8', '10/9*e^4 + 2/3*e^3 - 17*e^2 - 9*e + 34', '1/3*e^4 - 8*e^2 + 4*e + 32', '4/9*e^4 + 5/3*e^3 - 6*e^2 - 18*e + 10', '4/9*e^4 + 4/3*e^3 - 9*e^2 - 16*e + 42', '-10/9*e^4 - e^3 + 16*e^2 + 3*e - 40', '4/3*e^4 + 7/3*e^3 - 20*e^2 - 25*e + 60', '-2/3*e^4 + 1/3*e^3 + 11*e^2 - 8*e - 24', '-1/3*e^3 - e^2 - 6', '-1/9*e^4 + 2/3*e^3 + 4*e^2 - 9*e - 2', '-2/9*e^4 - 4/3*e^3 + 4*e^2 + 12*e - 10', '8/9*e^4 + 2/3*e^3 - 13*e^2 + e + 20', '2*e^2 - 2*e - 22', '-13/9*e^4 - 8/3*e^3 + 21*e^2 + 18*e - 40', '1/3*e^4 - 1/3*e^3 - 4*e^2 + 6*e + 12', '2/3*e^4 + 2/3*e^3 - 10*e^2 - 10*e + 18', '-1/3*e^4 - 1/3*e^3 + 6*e^2 + 8*e - 18', 'e^4 + e^3 - 18*e^2 - 11*e + 60', '1/3*e^4 + 2/3*e^3 - 3*e^2 - 6*e', '-5/9*e^4 - 4/3*e^3 + 5*e^2 + 14*e - 8', '-8/9*e^4 - 7/3*e^3 + 15*e^2 + 30*e - 50', '-2/3*e^4 - 2/3*e^3 + 13*e^2 + 7*e - 30', '-1/9*e^4 - e^2 - 6*e + 22', '-5/3*e^4 - 8/3*e^3 + 25*e^2 + 29*e - 68', '2/9*e^4 + 2/3*e^3 - 6*e^2 - 10*e + 34', '-16/9*e^4 - 11/3*e^3 + 27*e^2 + 29*e - 80', '-8/9*e^4 - 4/3*e^3 + 11*e^2 + 8*e - 14', '5/9*e^4 - 2/3*e^3 - 7*e^2 + 6*e - 2', '-1/9*e^4 - 2/3*e^3 - e^2 + 4*e + 12', '-4/9*e^4 + 10*e^2 - e - 34', '2/3*e^3 - 6*e + 10', '-8/9*e^4 - 5/3*e^3 + 12*e^2 + 16*e - 24', '-13/9*e^4 - 5/3*e^3 + 22*e^2 + 10*e - 44', '1/9*e^4 + 5/3*e^3 - e^2 - 22*e + 4', '11/9*e^4 + 4/3*e^3 - 18*e^2 - 8*e + 44', '-11/9*e^4 - 4*e^3 + 18*e^2 + 37*e - 56', '4/3*e^3 - 12*e + 10', 'e^3 + e^2 - 9*e - 20', '1/3*e^3 - e^2 - 5*e + 24', '-5/9*e^4 - 5/3*e^3 + 9*e^2 + 16*e - 22', '1/3*e^4 + e^3 - 5*e^2 - 7*e + 14', '-e^4 - 1/3*e^3 + 17*e^2 - 52', '1/3*e^4 + 8/3*e^3 - 6*e^2 - 28*e + 24', '1/9*e^4 + 2/3*e^3 + 2*e^2 - 28', '2/3*e^4 + 5/3*e^3 - 11*e^2 - 14*e + 40', '-2/3*e^4 + 2/3*e^3 + 13*e^2 - 11*e - 34', '-2/3*e^4 - 2*e^3 + 7*e^2 + 12*e + 4', '13/9*e^4 + 3*e^3 - 21*e^2 - 21*e + 38', '11/9*e^4 + 5/3*e^3 - 20*e^2 - 18*e + 60', 'e^4 - 1/3*e^3 - 16*e^2 + 5*e + 50', '-5/3*e^4 - e^3 + 25*e^2 + 5*e - 50', '-22/9*e^4 - 4*e^3 + 38*e^2 + 29*e - 98', '-1/3*e^4 + 2/3*e^3 + 9*e^2 - 8*e - 30', '-4/9*e^4 + 9*e^2 - 10*e - 34', '4/9*e^4 + 2/3*e^3 - 10*e^2 - 10*e + 28', '10/9*e^4 + e^3 - 20*e^2 - 5*e + 62', '-16/9*e^4 - 5/3*e^3 + 30*e^2 + 13*e - 72', '-1/3*e^4 - 4/3*e^3 + 5*e^2 + 12*e - 12', '-2/9*e^4 + 5/3*e^3 + 5*e^2 - 14*e', '-5/9*e^4 - e^3 + 9*e^2 + 4*e - 26', '-4/9*e^4 - 1/3*e^3 + 6*e^2 + 4*e - 34', '-2*e^4 - 4*e^3 + 30*e^2 + 35*e - 74', '8/9*e^4 - 1/3*e^3 - 12*e^2 + 10*e + 28', '-e^4 - 2*e^3 + 19*e^2 + 20*e - 70', '2*e^4 + 2*e^3 - 30*e^2 - 13*e + 72', '-5/3*e^4 - 10/3*e^3 + 28*e^2 + 32*e - 90', '19/9*e^4 + 8/3*e^3 - 34*e^2 - 27*e + 90', '-1/9*e^4 - 4/3*e^3 - e^2 + 13*e + 30', '-4/3*e^4 - 7/3*e^3 + 21*e^2 + 21*e - 50', '-13/9*e^4 - 5/3*e^3 + 22*e^2 + 15*e - 50', '5/9*e^4 + 8/3*e^3 - 8*e^2 - 33*e + 22', '17/9*e^4 + 7/3*e^3 - 30*e^2 - 22*e + 60', '-1/3*e^4 + 1/3*e^3 + 9*e^2 - 10*e - 32', '22/9*e^4 + 8/3*e^3 - 34*e^2 - 15*e + 64', '7/9*e^4 + 1/3*e^3 - 13*e^2 + 5*e + 52', '-10/9*e^4 + 1/3*e^3 + 19*e^2 - 5*e - 40', '13/9*e^4 + e^3 - 25*e^2 - 10*e + 70', '8/9*e^4 + e^3 - 15*e^2 - 9*e + 52', '17/9*e^4 + 10/3*e^3 - 29*e^2 - 37*e + 78', '-4/9*e^4 - e^3 + 3*e + 44', '2*e^3 + e^2 - 18*e + 22', '2*e^4 + 5/3*e^3 - 31*e^2 - 9*e + 74', '-13/9*e^4 - 8/3*e^3 + 24*e^2 + 23*e - 58', '2/3*e^4 - 2/3*e^3 - 13*e^2 + 15*e + 26', '-e^4 - 8/3*e^3 + 15*e^2 + 24*e - 60', '-4/3*e^4 - 3*e^3 + 21*e^2 + 29*e - 68', '-5/9*e^4 - 2/3*e^3 + 4*e^2 + 4*e + 6', '13/9*e^4 + 2/3*e^3 - 19*e^2 - 3*e + 8', '-14/9*e^4 - 8/3*e^3 + 20*e^2 + 16*e - 18', '-1/9*e^4 + 2/3*e^3 + 4*e^2 - 5*e + 14', '-1/9*e^4 - 1/3*e^3 + 3*e^2 + 7*e - 16', '1/3*e^4 - e^3 - 6*e^2 + 12*e + 38', '7/9*e^4 - e^3 - 9*e^2 + 15*e + 8', '5/9*e^4 + 4/3*e^3 - 8*e^2 - 10*e + 36', '-22/9*e^4 - 8/3*e^3 + 40*e^2 + 29*e - 114', '5/3*e^4 + 3*e^3 - 28*e^2 - 27*e + 88', '-13/9*e^4 - 8/3*e^3 + 20*e^2 + 27*e - 58', 'e^4 - 18*e^2 + e + 48', '-5/9*e^4 + 2/3*e^3 + 11*e^2 - 3*e - 20', '10/9*e^4 + 10/3*e^3 - 22*e^2 - 39*e + 72', '11/9*e^4 - 20*e^2 + 8*e + 62', 'e^4 + 2*e^3 - 12*e^2 - 24*e + 24', '-4/9*e^4 - 5/3*e^3 + 7*e^2 + 23*e - 14', '1/3*e^4 + 2/3*e^3 - 8*e^2 - 9*e + 46', 'e^4 + e^3 - 14*e^2 - 8*e + 52', '19/9*e^4 + e^3 - 34*e^2 - 10*e + 80', '-2/9*e^4 + 5/3*e^3 + 6*e^2 - 8*e - 24', '-e^4 - 4*e^3 + 13*e^2 + 36*e - 52', '-23/9*e^4 - 10/3*e^3 + 37*e^2 + 19*e - 94', '-4/9*e^4 + 8/3*e^3 + 11*e^2 - 31*e - 38', '-4/3*e^4 - 2*e^3 + 20*e^2 + 16*e - 60', '1/3*e^4 + 4/3*e^3 - 5*e^2 - 14*e + 36', '20/9*e^4 + 7/3*e^3 - 30*e^2 - 19*e + 54', '-1/3*e^4 + e^3 + 4*e^2 - 7*e + 4', '-11/9*e^4 - 2/3*e^3 + 17*e^2 + 8*e - 42', '-16/9*e^4 - 2/3*e^3 + 33*e^2 + 7*e - 94'], 'hecke_polynomial': 'x^5 - 18*x^3 + 9*x^2 + 63*x - 54', 'label': '4.4.16448.1-20.1-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 16448, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[4, 2, w^3 - 3*w^2 - 4*w + 4]', '[5, 5, -w^3 + 3*w^2 + 2*w - 1]', '[5, 5, w - 1]', '[8, 2, -w^3 + 2*w^2 + 6*w]', '[10, 10, w^3 - 3*w^2 - 3*w + 4]', '[10, 10, -w^3 + 3*w^2 + 3*w]', '[11, 11, w^3 - 2*w^2 - 5*w - 1]', '[13, 13, -w^3 + 3*w^2 + 3*w - 1]', '[16, 2, 2]', '[17, 17, 2*w^3 - 5*w^2 - 9*w + 5]', '[20, 10, -w^3 + 3*w^2 + 4*w - 2]', '[20, 10, -w^2 + 2*w + 4]', '[22, 22, -w + 2]', '[23, 23, -w^3 + 3*w^2 + 4*w - 5]', '[25, 5, -w^3 + 2*w^2 + 5*w - 1]', '[25, 5, -w^2 + 3*w + 1]', '[25, 25, -w^3 + 4*w^2 - 3]', '[25, 25, w^2 - 2*w - 3]', '[26, 26, 2*w^3 - 6*w^2 - 7*w + 8]', '[29, 29, -2*w^3 + 6*w^2 + 5*w - 1]', '[31, 31, -w^2 + 2*w + 1]', '[32, 4, 2*w]', '[34, 34, -w^2 + 3*w + 4]', '[40, 10, w^3 - 4*w^2 + 4]', '[40, 10, w^3 - 2*w^2 - 6*w + 2]', '[43, 43, -w^3 + 3*w^2 + 2*w - 3]', '[43, 43, -w^3 + 2*w^2 + 6*w - 3]', '[44, 22, -w^2 + 2*w]', '[46, 46, w^3 - 2*w^2 - 5*w + 2]', '[50, 10, -w^3 + 3*w^2 + w]', '[50, 10, -w^3 + 2*w^2 + 5*w + 4]', '[50, 50, -w^2 + 3*w]', '[50, 50, 2*w^3 - 5*w^2 - 9*w + 2]', '[52, 26, -2*w^3 + 5*w^2 + 8*w - 4]', '[55, 55, -w^3 + 3*w^2 + 4*w - 1]', '[55, 55, w^3 - 3*w^2 - 3*w - 1]', '[58, 58, w^3 - w^2 - 7*w - 6]', '[59, 59, 2*w^3 - 6*w^2 - 7*w + 7]', '[62, 62, w^3 - 3*w^2 - 3*w + 6]', '[64, 4, 2*w^3 - 6*w^2 - 8*w + 8]', '[65, 65, w^2 - 3*w - 5]', '[65, 65, -2*w^3 + 5*w^2 + 10*w - 3]', '[68, 34, w^2 - 4*w]', '[73, 73, 3*w^3 - 6*w^2 - 16*w - 5]', '[79, 79, -5*w^3 + 14*w^2 + 20*w - 17]', '[80, 10, -2*w^3 + 6*w^2 + 4*w - 2]', '[80, 10, 2*w - 2]', '[81, 3, -3]', '[83, 83, -w - 3]', '[83, 83, w^2 - 3*w - 7]', '[85, 85, -2*w^3 + 6*w^2 + 5*w - 5]', '[85, 85, 2*w^3 - 5*w^2 - 8*w + 1]', '[86, 86, -3*w + 2]', '[86, 86, w^3 - 4*w^2 - 3*w + 2]', '[88, 22, 3*w^3 - 8*w^2 - 12*w + 10]', '[89, 89, w^2 - 2*w - 7]', '[92, 46, w^3 - 3*w^2 - 2*w - 2]', '[100, 10, -2*w^3 + 5*w^2 + 10*w - 4]', '[100, 10, -w^2 + 4*w + 2]', '[100, 50, -w^3 + 3*w^2 + 2*w - 4]', '[100, 50, -w^3 + 3*w^2 + 2*w - 6]', '[101, 101, -2*w^3 + 5*w^2 + 8*w - 3]', '[101, 101, 5*w^3 - 14*w^2 - 19*w + 17]', '[103, 103, -w^3 + w^2 + 8*w + 3]', '[103, 103, 2*w^3 - 5*w^2 - 7*w - 1]', '[104, 26, w^3 - 4*w^2 + 6]', '[109, 109, 3*w^3 - 7*w^2 - 14*w + 1]', '[109, 109, -w^2 + 4*w + 1]', '[110, 110, 2*w^3 - 4*w^2 - 11*w]', '[110, 110, -w^2 + 3*w - 2]', '[115, 115, 2*w^2 - 5*w - 7]', '[115, 115, 2*w^3 - 6*w^2 - 6*w + 3]', '[116, 58, -2*w^3 + 5*w^2 + 8*w - 2]', '[118, 118, -2*w^3 + 5*w^2 + 7*w - 4]', '[121, 121, 2*w^2 - 5*w - 9]', '[124, 62, -w^3 + 3*w^2 + 6*w - 2]', '[125, 5, -3*w^3 + 7*w^2 + 14*w - 3]', '[125, 5, w^3 - w^2 - 7*w - 7]', '[125, 25, w^3 - 3*w^2 - w + 3]', '[125, 25, -2*w^3 + 4*w^2 + 10*w + 3]', '[125, 125, w^2 - w - 5]', '[125, 125, 3*w^3 - 6*w^2 - 17*w - 1]', '[127, 127, -3*w^3 + 8*w^2 + 11*w - 7]', '[127, 127, -w^3 + 2*w^2 + 7*w + 1]', '[128, 4, -2*w^3 + 4*w^2 + 12*w]', '[130, 130, -w^3 + 2*w^2 + 7*w - 2]', '[130, 130, -w^3 + w^2 + 7*w + 8]', '[136, 34, w^3 - 4*w^2 - 2*w + 8]', '[137, 137, -2*w^3 + 5*w^2 + 9*w - 1]', '[139, 139, -w^3 + 3*w^2 + 2*w - 5]', '[143, 143, w^3 - 2*w^2 - 4*w - 3]', '[145, 145, -2*w^3 + 4*w^2 + 12*w + 1]', '[145, 145, w^3 - 3*w^2 - 5*w + 5]', '[146, 146, 2*w^2 - 5*w - 6]', '[149, 149, w^3 - 3*w^2 - w - 1]', '[149, 149, -2*w^3 + 4*w^2 + 10*w + 1]', '[155, 155, w^3 - 4*w^2 - w + 7]', '[155, 155, 4*w^3 - 10*w^2 - 18*w + 9]', '[158, 158, 4*w^3 - 9*w^2 - 21*w + 4]', '[160, 20, 2*w^3 - 6*w^2 - 6*w + 8]', '[160, 20, -2*w^3 + 6*w^2 + 6*w]', '[162, 6, -3*w]', '[163, 163, w^3 - 4*w^2 - w + 11]', '[163, 163, 2*w^3 - 4*w^2 - 10*w + 1]', '[166, 166, w^3 - 3*w^2 - 7*w]', '[166, 166, -w^2 - 3*w]', '[169, 169, 2*w^2 - 4*w - 9]', '[170, 170, -w^3 + 4*w^2 + w - 4]', '[170, 170, w^3 - 5*w^2 + 3*w + 4]', '[172, 86, -3*w^3 + 9*w^2 + 12*w - 10]', '[172, 86, -7*w^3 + 19*w^2 + 30*w - 20]', '[173, 173, -4*w^3 + 11*w^2 + 15*w - 13]', '[176, 22, 2*w^3 - 4*w^2 - 10*w - 2]', '[178, 178, w^3 - 2*w^2 - 7*w]', '[179, 179, 2*w^2 - 6*w - 3]', '[179, 179, -w^3 + 2*w^2 + 7*w - 1]', '[181, 181, w^3 - 10*w - 9]', '[181, 181, -3*w^3 + 8*w^2 + 14*w - 7]', '[184, 46, -w^3 + 4*w^2 - 2*w - 2]', '[187, 187, 2*w^3 - 6*w^2 - 6*w + 9]', '[199, 199, w^3 - 8*w - 9]', '[200, 10, w^3 - 4*w^2 - 2*w + 10]', '[200, 10, w^3 - 2*w^2 - 4*w + 4]', '[200, 50, 3*w^3 - 8*w^2 - 10*w]', '[200, 50, 3*w^3 - 6*w^2 - 16*w - 4]', '[202, 202, w^3 - 4*w^2 - 3*w + 4]', '[202, 202, 3*w^3 - 5*w^2 - 19*w - 6]', '[206, 206, -w^3 + 2*w^2 + 3*w + 2]', '[206, 206, -w^3 + 5*w^2 - w - 4]', '[208, 26, -2*w^3 + 6*w^2 + 6*w - 2]', '[211, 211, 2*w - 3]', '[215, 215, -2*w^3 + 8*w^2 - 3]', '[215, 215, w^3 - 2*w^2 - 9*w + 5]', '[215, 215, 4*w^3 - 13*w^2 - 6*w + 7]', '[215, 215, 2*w^3 - 7*w^2 - 5*w + 5]', '[218, 218, -w^3 + 4*w^2 + w - 6]', '[218, 218, -w^3 + 4*w^2 + w]', '[220, 110, 3*w^3 - 5*w^2 - 20*w - 8]', '[220, 110, w^2 - 4]', '[221, 221, -3*w^3 + 9*w^2 + 10*w - 9]', '[223, 223, -w^3 + 4*w^2 + w - 5]', '[227, 227, w^3 - 2*w^2 - 5*w - 5]', '[227, 227, -3*w^3 + 7*w^2 + 14*w - 5]', '[227, 227, -4*w^3 + 10*w^2 + 19*w - 7]', '[227, 227, w^2 - 4*w - 5]', '[230, 230, 2*w^3 - 5*w^2 - 7*w]', '[230, 230, w^3 - 4*w^2 - 3*w + 8]', '[232, 58, w^3 - 4*w^2 - 2*w + 4]', '[236, 118, w^3 - 5*w^2 - 4*w + 4]', '[239, 239, -2*w^3 + 5*w^2 + 7*w - 3]', '[242, 242, 2*w^3 - 5*w^2 - 9*w]', '[248, 62, -w^3 + 2*w^2 + 4*w + 4]', '[250, 10, w^3 - 4*w^2 - 3*w + 6]', '[250, 10, w^3 - w^2 - 7*w - 2]', '[250, 50, -4*w^3 + 10*w^2 + 17*w - 8]', '[250, 50, w^3 - 3*w^2 - w - 2]', '[250, 250, w^2 - w - 6]', '[250, 250, -3*w^3 + 8*w^2 + 11*w - 6]', '[251, 251, -w^3 + 4*w^2 + 2*w - 11]', '[251, 251, 2*w^3 - 6*w^2 - 6*w + 1]', '[253, 253, -3*w^3 + 7*w^2 + 15*w - 1]', '[254, 254, 2*w^3 - 7*w^2 - 7*w + 6]', '[254, 254, w^2 + w + 2]', '[256, 4, 4]', '[257, 257, -3*w^3 + 6*w^2 + 16*w + 3]', '[260, 130, w^2 - 2*w + 2]', '[260, 130, -w^3 + w^2 + 8*w + 2]', '[263, 263, -w^3 + 3*w^2 + 3*w - 7]', '[263, 263, w^3 - 4*w^2 + 7]', '[269, 269, -2*w^3 + 6*w^2 + 6*w - 11]', '[269, 269, -w^3 + 4*w^2 - w - 5]', '[271, 271, -3*w^3 + 9*w^2 + 11*w - 11]', '[271, 271, w^2 - 5*w - 3]', '[272, 34, 4*w^3 - 10*w^2 - 18*w + 10]', '[274, 274, w^3 - 3*w^2 - w + 4]', '[275, 55, 2*w^2 - 6*w - 7]', '[275, 55, 2*w^3 - 6*w^2 - 7*w + 11]', '[275, 275, 3*w^3 - 7*w^2 - 14*w - 1]', '[275, 275, -2*w^2 + 7*w + 5]', '[277, 277, w^3 - 4*w^2 - 2*w + 7]', '[277, 277, -2*w^3 + 7*w^2 + 8*w - 9]', '[278, 278, w^3 - 4*w^2 - 5*w + 2]', '[281, 281, 2*w^2 - 4*w - 5]', '[281, 281, 2*w^3 - 4*w^2 - 11*w + 1]', '[283, 283, -3*w^3 + 8*w^2 + 14*w - 11]', '[286, 286, -3*w^3 + 9*w^2 + 7*w - 4]', '[289, 289, -2*w^3 + 7*w^2 + w - 5]', '[290, 290, w + 4]', '[290, 290, 2*w^3 - 5*w^2 - 9*w - 2]', '[292, 146, 2*w^3 - 5*w^2 - 6*w]', '[293, 293, w^3 - 2*w^2 - 6*w + 5]', '[295, 295, -4*w^3 + 11*w^2 + 14*w - 11]', '[295, 295, -w^2 + 5*w - 1]', '[298, 298, -w^3 + 5*w^2 - w - 2]', '[298, 298, -2*w^2 + w + 4]', '[299, 299, 3*w^3 - 8*w^2 - 11*w + 5]', '[307, 307, -2*w^3 + 5*w^2 + 7*w - 1]', '[310, 310, -2*w^3 + 5*w^2 + 7*w - 2]', '[310, 310, -w^3 + 11*w + 10]', '[313, 313, 2*w^3 - 4*w^2 - 9*w + 3]', '[313, 313, -2*w^3 + 5*w^2 + 6*w - 3]', '[316, 158, -w^3 + 3*w^2 + 4*w - 8]', '[317, 317, -2*w^3 + 5*w^2 + 9*w + 1]', '[319, 319, 2*w^3 - 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7]', '[359, 359, -w^3 + 4*w^2 - 11]', '[362, 362, -w^2 + w + 8]', '[362, 362, 2*w^3 - 4*w^2 - 9*w - 2]', '[365, 365, 4*w^3 - 11*w^2 - 12*w - 3]', '[365, 365, -3*w^3 + 8*w^2 + 11*w - 1]', '[368, 46, -2*w^3 + 6*w^2 + 8*w - 10]', '[373, 373, -w^3 + 2*w^2 + 6*w + 5]', '[374, 374, -2*w^3 + 6*w^2 + 9*w - 4]', '[377, 377, 3*w^3 - 8*w^2 - 12*w + 11]', '[379, 379, -3*w^3 + 8*w^2 + 14*w - 5]', '[391, 391, 3*w^3 - 9*w^2 - 8*w + 1]', '[395, 395, -w^3 + 5*w^2 - w - 13]', '[395, 395, 4*w^3 - 11*w^2 - 16*w + 9]', '[397, 397, 6*w^3 - 14*w^2 - 30*w + 7]', '[398, 398, 2*w^3 - 2*w^2 - 9*w - 2]', '[400, 10, -2*w^3 + 4*w^2 + 10*w - 2]', '[400, 10, -2*w^2 + 6*w + 2]', '[400, 50, -2*w^3 + 8*w^2 - 6]', '[400, 50, 2*w^2 - 4*w - 6]', '[401, 401, 3*w^3 - 5*w^2 - 20*w - 7]', '[403, 403, 2*w^3 - 7*w^2 - 4*w + 13]', '[404, 202, -7*w^3 + 19*w^2 + 30*w - 18]', '[404, 202, w^3 - w^2 - 6*w - 6]', '[405, 15, 3*w^3 - 9*w^2 - 6*w + 3]', '[405, 15, -3*w + 3]', '[409, 409, 3*w^3 - 7*w^2 - 12*w - 3]', '[409, 409, 2*w^2 - 4*w - 7]', '[412, 206, -3*w^3 + 7*w^2 + 16*w - 2]', '[412, 206, 2*w^3 - 5*w^2 - 10*w]', '[415, 415, w^3 - 4*w^2 - 4*w + 7]', '[415, 415, 2*w^3 - 4*w^2 - 9*w - 1]', '[415, 415, -w^2 - 2*w + 3]', '[415, 415, 2*w^3 - 5*w^2 - 5*w + 1]', '[416, 52, 4*w^3 - 12*w^2 - 14*w + 16]', '[421, 421, w^3 - 11*w - 11]', '[421, 421, -w^3 + 3*w^2 + w - 7]', '[422, 422, 2*w^2 - 3*w]', '[425, 85, w^3 - 3*w^2 - w + 5]', '[425, 85, 3*w^3 - 10*w^2 - 4*w + 1]', '[425, 425, -3*w^3 + 8*w^2 + 13*w - 5]', '[425, 425, -3*w^3 + 9*w^2 + 9*w - 5]', '[430, 430, 3*w^3 - 11*w^2 - 3*w + 6]', '[430, 430, -2*w^3 + 5*w^2 + 9*w - 8]', '[430, 430, -7*w^3 + 19*w^2 + 27*w - 18]', '[430, 430, -2*w^3 + 7*w^2 - w - 4]', '[431, 431, 2*w^3 - 3*w^2 - 14*w - 3]', '[431, 431, -4*w^3 + 11*w^2 + 15*w - 15]', '[433, 433, 2*w^3 - 5*w^2 - 6*w + 1]', '[436, 218, 2*w^3 - 5*w^2 - 6*w + 2]', '[436, 218, -3*w^3 + 7*w^2 + 14*w - 6]', '[439, 439, -4*w^3 + 11*w^2 + 13*w - 9]', '[439, 439, -2*w^3 + 6*w^2 + 8*w - 11]', '[440, 110, w^3 - 4*w^2 + 8]', '[440, 110, -3*w^3 + 8*w^2 + 10*w - 6]', '[442, 442, -2*w^2 + 7*w + 4]', '[443, 443, 2*w - 5]', '[443, 443, -6*w^3 + 17*w^2 + 24*w - 21]', '[445, 445, w^3 - 3*w^2 - 5*w + 7]', '[445, 445, 3*w^3 - 8*w^2 - 10*w + 1]', '[446, 446, 2*w^3 - 5*w^2 - 5*w + 2]', '[449, 449, w^3 - 2*w^2 - 8*w + 3]', '[449, 449, 4*w^3 - 12*w^2 - 15*w + 17]', '[454, 454, 2*w^3 - 5*w^2 - 7*w + 8]', '[454, 454, w^3 - 4*w^2 - 5*w]', '[454, 454, w^2 - 5*w - 2]', '[454, 454, -w^3 + w^2 + 7*w + 10]', '[457, 457, -2*w^3 + 4*w^2 + 9*w + 5]', '[460, 230, -2*w^3 + 7*w^2 + 4*w - 14]', '[460, 230, -3*w^3 + 5*w^2 + 20*w + 6]', '[461, 461, -3*w^3 + 6*w^2 + 15*w - 1]', '[461, 461, -3*w^3 + 7*w^2 + 17*w + 1]', '[463, 463, -4*w^3 + 10*w^2 + 17*w - 7]', '[463, 463, -3*w^3 + 10*w^2 + 9*w - 17]', '[464, 58, -4*w^3 + 12*w^2 + 10*w - 2]', '[467, 467, 4*w^3 - 8*w^2 - 21*w - 7]', '[467, 467, w^3 - 6*w^2 + 3*w + 19]', '[472, 118, -7*w^3 + 20*w^2 + 30*w - 20]', '[473, 473, -2*w^3 + 6*w^2 + 5*w - 7]', '[473, 473, -w^3 + w^2 + 7*w + 1]', '[478, 478, w^3 - 5*w^2 - 3*w + 4]', '[479, 479, -w^3 + w^2 + 8*w + 1]', '[484, 242, -w^3 + 3*w^2 - 4]', '[487, 487, -4*w^3 + 11*w^2 + 14*w - 15]', '[487, 487, 3*w^3 - 6*w^2 - 15*w - 5]', '[491, 491, w^2 - 5]', '[493, 493, -w^3 + 2*w^2 + 3*w + 3]', '[496, 62, -2*w^2 + 4*w + 2]', '[500, 10, -3*w^3 + 7*w^2 + 14*w + 2]', '[500, 10, 2*w^3 - 7*w^2 - 4*w + 6]', '[500, 50, 2*w^3 - 3*w^2 - 14*w - 10]', '[500, 50, -w^3 + 5*w^2 - 2*w - 2]', '[500, 250, 2*w^3 - 5*w^2 - 8*w - 4]', '[500, 250, w^3 - w^2 - 6*w]', '[502, 502, 2*w^3 - 4*w^2 - 11*w + 2]', '[502, 502, -2*w^3 + 6*w^2 + w - 4]', '[503, 503, 2*w^3 - 5*w^2 - 11*w + 3]', '[505, 505, -w^3 + 4*w^2 + 1]', '[505, 505, -3*w^3 + 7*w^2 + 15*w - 7]', '[505, 505, 3*w^3 - 9*w^2 - 11*w + 7]', '[505, 505, -2*w^2 + 4*w + 13]', '[506, 506, w^3 - 3*w^2 - w + 6]', '[508, 254, -12*w^3 + 33*w^2 + 50*w - 34]', '[508, 254, -4*w^3 + 9*w^2 + 18*w - 6]', '[512, 8, 4*w]', '[514, 514, -2*w^2 + 3*w + 6]', '[515, 515, -3*w^3 + 10*w^2 + 6*w - 3]', '[515, 515, 6*w^3 - 20*w^2 - 9*w + 5]', '[515, 515, w^2 - 5*w - 1]', '[515, 515, 2*w^3 - 8*w^2 + 2*w + 7]', '[520, 130, 5*w^3 - 10*w^2 - 28*w - 6]', '[520, 130, -w^3 + 2*w^2 + 2*w + 2]', '[523, 523, -3*w^3 + 7*w^2 + 13*w + 1]', '[526, 526, w^3 - 3*w^2 - 7*w + 2]', '[526, 526, -2*w^3 + 6*w^2 + 7*w - 2]', '[527, 527, -w^3 + 2*w^2 + 5*w - 5]', '[529, 529, -w^3 + 3*w^2 - w + 1]', '[538, 538, 2*w^3 - 6*w^2 - 11*w + 4]', '[538, 538, 2*w^3 - 7*w^2 - 5*w + 2]', '[542, 542, 4*w^3 - 10*w^2 - 17*w + 2]', '[542, 542, 2*w^2 - 3*w - 10]', '[544, 68, -2*w^2 + 6*w + 8]', '[545, 545, 2*w^3 - 6*w^2 - 4*w - 3]', '[545, 545, -w^3 + 5*w^2 - 3*w - 1]', '[545, 545, -4*w^3 + 11*w^2 + 15*w - 7]', '[545, 545, 5*w^3 - 18*w^2 - 4*w + 9]', '[547, 547, 2*w^3 - 3*w^2 - 12*w - 3]', '[547, 547, 2*w^3 - 3*w^2 - 12*w - 9]', '[548, 274, -6*w^3 + 15*w^2 + 26*w - 12]', '[550, 110, 2*w^3 - 6*w^2 - 7*w]', '[550, 110, -2*w^3 + 5*w^2 + 11*w - 4]', '[550, 550, -w^3 + 4*w^2 - w - 6]', '[550, 550, -w^3 + 9*w + 12]', '[554, 554, -2*w^3 + 4*w^2 + 7*w - 2]', '[554, 554, 3*w^3 - 7*w^2 - 15*w]', '[556, 278, -5*w^3 + 15*w^2 + 20*w - 18]', '[557, 557, -3*w^3 + 9*w^2 + 9*w - 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6]', '[1516, 758, -13*w^3 + 33*w^2 + 54*w - 32]', '[1529, 1529, -3*w^3 + 5*w^2 + 17*w + 3]', '[1531, 1531, 4*w^3 - 11*w^2 - 16*w + 7]', '[1531, 1531, 3*w^2 - 8*w - 17]', '[1531, 1531, 2*w^3 - w^2 - 16*w - 9]', '[1531, 1531, 10*w^3 - 28*w^2 - 38*w + 33]', '[1534, 1534, -5*w + 4]', '[1535, 1535, -4*w^3 + 14*w^2 + 5*w - 3]', '[1535, 1535, 3*w^3 - 10*w^2 - 8*w + 5]', '[1538, 1538, w^3 - 2*w^2 + 3*w]', '[1543, 1543, -2*w^3 + 3*w^2 + 14*w + 1]', '[1546, 1546, w^3 - 9*w - 16]', '[1549, 1549, 2*w^3 - 5*w^2 - 12*w + 3]', '[1549, 1549, -3*w^3 + 6*w^2 + 14*w + 1]', '[1550, 310, -4*w^2 + 11*w + 8]', '[1550, 310, -3*w^3 + 6*w^2 + 17*w - 2]', '[1550, 1550, 3*w^2 - 5*w - 12]', '[1550, 1550, -w^3 + 5*w^2 - w - 8]', '[1553, 1553, 7*w^3 - 16*w^2 - 35*w + 7]', '[1559, 1559, 3*w^3 - 4*w^2 - 23*w - 9]', '[1564, 782, 3*w^3 - 7*w^2 - 12*w + 2]', '[1565, 1565, w^3 - 6*w^2 + 5*w + 5]', '[1565, 1565, 5*w^3 - 14*w^2 - 21*w + 19]', '[1565, 1565, -2*w^3 + 7*w^2 + 12*w - 7]', '[1565, 1565, -2*w^3 + 5*w^2 + 3*w - 5]', '[1567, 1567, -w^3 + 8*w + 11]', '[1571, 1571, -w^3 + 5*w^2 - w - 9]', '[1573, 1573, 2*w^3 - 2*w^2 - 18*w - 5]', '[1574, 1574, -3*w^3 + 8*w^2 + 9*w - 12]', '[1580, 790, 2*w^3 - 5*w^2 - 12*w + 10]', '[1580, 790, 5*w^3 - 15*w^2 - 12*w + 6]', '[1583, 1583, -w^3 + 4*w^2 + w - 13]', '[1583, 1583, -4*w^3 + 9*w^2 + 23*w + 1]', '[1585, 1585, 3*w^3 - 8*w^2 - 8*w + 3]', '[1585, 1585, -4*w^3 + 12*w^2 + 7*w - 1]', '[1588, 794, 2*w^3 - 5*w^2 - 12*w + 4]', '[1592, 398, 9*w^3 - 16*w^2 - 54*w - 16]', '[1594, 1594, 2*w^3 - 8*w^2 - 3*w + 6]', '[1595, 1595, 3*w^3 - 8*w^2 - 14*w + 3]', '[1595, 1595, -4*w^3 + 13*w^2 + 7*w - 1]', '[1600, 20, -4*w^3 + 10*w^2 + 20*w - 8]', '[1600, 20, -2*w^2 + 8*w + 4]', '[1600, 100, -2*w^3 + 6*w^2 + 4*w - 8]', '[1600, 100, -2*w^3 + 6*w^2 + 4*w - 12]', '[1601, 1601, -w^3 + 5*w^2 - 11]', '[1604, 802, -3*w^3 + 9*w^2 + 10*w - 4]', '[1606, 1606, -4*w^3 + 5*w^2 + 31*w + 16]', '[1609, 1609, 4*w^3 - 12*w^2 - 11*w + 1]', '[1612, 806, 2*w^3 - 5*w^2 - 4*w + 6]', '[1616, 202, -4*w^3 + 10*w^2 + 16*w - 6]', '[1616, 202, 10*w^3 - 28*w^2 - 38*w + 34]', '[1618, 1618, 2*w^3 - 4*w^2 - 11*w - 8]', '[1618, 1618, 2*w^3 - 5*w^2 - w]', '[1620, 30, 3*w^3 - 9*w^2 - 12*w + 6]', '[1620, 30, 3*w^2 - 6*w - 12]', '[1621, 1621, -w^3 + 4*w^2 - w - 9]', '[1625, 65, 4*w^3 - 9*w^2 - 18*w - 3]', '[1625, 65, w^3 - 4*w^2 - 3*w + 11]', '[1625, 325, 4*w^3 - 8*w^2 - 20*w - 1]', '[1625, 325, -3*w^3 + 7*w^2 + 11*w + 5]', '[1625, 1625, -w^3 + 6*w^2 - 4*w - 15]', '[1625, 1625, 3*w^3 - 7*w^2 - 12*w + 1]', '[1627, 1627, -9*w^3 + 24*w^2 + 35*w - 29]', '[1627, 1627, 4*w^2 - 9*w - 23]', '[1630, 1630, w^3 - 5*w^2 - w + 6]', '[1630, 1630, 7*w^3 - 17*w^2 - 31*w + 12]', '[1630, 1630, 3*w^3 - 6*w^2 - 13*w + 6]', '[1630, 1630, w^3 + w^2 - 9*w - 8]', '[1636, 818, 3*w^3 - 7*w^2 - 16*w - 2]', '[1636, 818, -3*w^3 + 9*w^2 + 8*w - 16]', '[1639, 1639, -3*w^3 + 8*w^2 + 12*w + 1]', '[1639, 1639, 3*w^3 - 4*w^2 - 23*w - 17]', '[1648, 206, -2*w^3 + 2*w^2 + 16*w + 6]', '[1648, 206, 4*w^3 - 10*w^2 - 14*w - 2]', '[1651, 1651, w^3 - 2*w^2 - 10*w + 7]', '[1651, 1651, w^3 - 4*w^2 + 2*w + 7]', '[1654, 1654, 5*w^3 - 15*w^2 - 17*w + 18]', '[1654, 1654, 2*w^3 - 6*w^2 - 9*w]', '[1657, 1657, -4*w^3 + 11*w^2 + 19*w - 7]', '[1657, 1657, -5*w^3 + 10*w^2 + 29*w + 7]', '[1658, 1658, -w^3 + 4*w^2 + w + 2]', '[1660, 830, 3*w^3 - w^2 - 26*w - 26]', '[1660, 830, 4*w^3 - 11*w^2 - 20*w + 6]', '[1660, 830, w^3 + w^2 - 10*w - 12]', '[1660, 830, 2*w^3 - 7*w^2 - 10*w + 4]', '[1663, 1663, 3*w^3 - 7*w^2 - 13*w - 7]', '[1664, 52, 2*w^3 - 8*w^2 + 12]', '[1678, 1678, -2*w^3 + 4*w^2 + 7*w + 4]', '[1679, 1679, -6*w^3 + 18*w^2 + 13*w - 3]', '[1682, 1682, -w^3 + 2*w^2 + 9*w - 2]', '[1684, 842, -w^3 + w^2 - 2*w - 4]', '[1684, 842, -6*w^3 + 19*w^2 + 24*w - 24]', '[1688, 422, 3*w^3 - 6*w^2 - 18*w + 4]', '[1690, 1690, 4*w^3 - 13*w^2 - 7*w + 10]', '[1690, 1690, -2*w^3 + 7*w^2 + 9*w - 4]', '[1697, 1697, -3*w^3 + 10*w^2 + 8*w - 9]', '[1697, 1697, 4*w^3 - 10*w^2 - 16*w + 3]', '[1699, 1699, 2*w^3 - 6*w^2 - 10*w + 1]', '[1700, 170, -w^3 + 3*w^2 + 6*w - 8]', '[1700, 170, 2*w^3 - 9*w^2 + 2*w + 8]', '[1700, 850, -4*w^3 + 11*w^2 + 12*w - 2]', '[1700, 850, 4*w^3 - 7*w^2 - 26*w - 6]', '[1705, 1705, 2*w^3 - 7*w^2 + w - 1]', '[1705, 1705, 4*w^3 - 7*w^2 - 26*w - 7]', '[1709, 1709, 5*w^3 - 12*w^2 - 22*w + 7]', '[1709, 1709, 3*w^3 - 10*w^2 - 7*w + 17]', '[1711, 1711, -w^3 + 4*w^2 + 9*w - 5]', '[1717, 1717, -w^3 + 11*w + 3]', '[1717, 1717, -11*w^3 + 30*w^2 + 43*w - 33]', '[1720, 430, 3*w^3 - 10*w^2 - 2*w]', '[1720, 430, -5*w^3 + 12*w^2 + 26*w - 18]', '[1720, 430, -7*w^3 + 22*w^2 + 16*w - 12]', '[1720, 430, -5*w^3 + 14*w^2 + 16*w - 10]', '[1724, 862, -5*w^3 + 15*w^2 + 12*w - 8]', '[1724, 862, w^2 - 8]', '[1730, 1730, 3*w^3 - 10*w^2 - 3*w - 2]', '[1730, 1730, -6*w^3 + 17*w^2 + 21*w - 12]', '[1732, 866, 3*w^3 - 9*w^2 - 14*w + 6]', '[1733, 1733, 2*w^3 - 8*w^2 - 2*w + 15]', '[1733, 1733, 2*w^2 - 7*w - 9]', '[1735, 1735, -6*w^3 + 16*w^2 + 23*w - 13]', '[1735, 1735, -2*w^3 + 8*w^2 + w - 11]', '[1735, 1735, -5*w^3 + 12*w^2 + 24*w - 11]', '[1735, 1735, w^3 - 3*w^2 - 5]', '[1738, 1738, -14*w^3 + 38*w^2 + 57*w - 44]', '[1741, 1741, w^3 - 5*w^2 + 6*w + 1]', '[1744, 218, 6*w^3 - 14*w^2 - 28*w + 2]', '[1744, 218, -2*w^2 + 8*w + 2]', '[1745, 1745, 4*w^3 - 11*w^2 - 10*w + 7]', '[1745, 1745, -4*w^3 + 13*w^2 + 3*w - 3]', '[1747, 1747, -4*w^3 + 8*w^2 + 25*w - 5]', '[1751, 1751, -2*w^3 + 6*w^2 + 7*w - 13]', '[1751, 1751, 2*w^3 - 7*w^2 - 2*w + 9]', '[1753, 1753, -2*w^3 + 6*w^2 + 9*w - 11]', '[1754, 1754, -4*w^3 + 11*w^2 + 13*w - 12]', '[1754, 1754, w^3 - w^2 + w - 2]', '[1756, 878, -14*w^3 + 39*w^2 + 58*w - 40]', '[1756, 878, w^2 + 4*w - 4]', '[1760, 220, 4*w^3 - 8*w^2 - 22*w]', '[1760, 220, -2*w^2 + 6*w - 4]', '[1762, 1762, 2*w^3 - 3*w^2 - 7*w - 4]', '[1762, 1762, -w^3 + 2*w^2 + 9*w + 8]', '[1765, 1765, -w^3 + 6*w^2 - 7*w - 3]', '[1765, 1765, 6*w^3 - 23*w^2 + 15]', '[1765, 1765, w^3 - 2*w^2 - 6*w + 7]', '[1765, 1765, 4*w^3 - 12*w^2 - 11*w + 3]', '[1768, 442, -3*w^3 + 6*w^2 + 16*w - 2]', '[1772, 886, -7*w^3 + 19*w^2 + 28*w - 24]', '[1772, 886, -w^3 + 3*w^2 + 4*w - 10]', '[1774, 1774, -w^2 - w - 4]', '[1780, 890, -w^3 + 5*w^2 - 6*w - 8]', '[1780, 890, 5*w^3 - 13*w^2 - 22*w + 8]', '[1781, 1781, -w^3 + 3*w^2 + 2*w + 5]', '[1782, 66, 3*w - 6]', '[1784, 446, 5*w^3 - 12*w^2 - 22*w + 2]', '[1789, 1789, -4*w^3 + 11*w^2 + 15*w - 5]', '[1789, 1789, 3*w^3 - 5*w^2 - 17*w - 13]', '[1790, 1790, -5*w^3 + 21*w^2 - 5*w - 16]', '[1790, 1790, 2*w^3 - 8*w^2 + 3*w + 8]', '[1790, 1790, 5*w^3 - 13*w^2 - 19*w + 4]', '[1790, 1790, -6*w^3 + 16*w^2 + 25*w - 12]', '[1793, 1793, -w^3 + 13*w + 15]', '[1793, 1793, -11*w^3 + 30*w^2 + 48*w - 29]', '[1795, 1795, w^3 - 6*w + 1]', '[1795, 1795, 3*w^3 - 10*w^2 - 11*w + 13]', '[1795, 1795, w^3 - 2*w^2 - 7*w - 7]', '[1795, 1795, 2*w^3 - 3*w^2 - 12*w - 1]', '[1796, 898, 9*w^3 - 23*w^2 - 38*w + 24]', '[1796, 898, -w^2 + 2*w + 10]', '[1798, 1798, -4*w^3 + 10*w^2 + 17*w]', '[1807, 1807, w^3 - 2*w^2 - 9*w + 1]', '[1810, 1810, -5*w^3 + 15*w^2 + 13*w - 4]', '[1810, 1810, -2*w^3 + 7*w^2 + 7*w - 2]', '[1810, 1810, -w^3 + 2*w^2 + 7*w - 8]', '[1810, 1810, 3*w^3 - 10*w^2 - 7*w]', '[1814, 1814, -3*w^3 + 8*w^2 + 13*w - 2]', '[1814, 1814, -w^3 + 4*w^2 - w - 10]', '[1814, 1814, -3*w^3 + 8*w^2 + 9*w - 10]', '[1814, 1814, 3*w^3 - 7*w^2 - 7*w + 4]', '[1816, 454, 5*w^3 - 8*w^2 - 34*w - 10]', '[1816, 454, -w^3 + 4*w^2 + 2*w + 2]', '[1816, 454, 11*w^3 - 32*w^2 - 46*w + 36]', '[1816, 454, 5*w^3 - 10*w^2 - 28*w - 8]', '[1817, 1817, -w^3 + 3*w^2 + 9]', '[1822, 1822, 2*w^3 - 9*w^2 - 5*w + 6]', '[1825, 365, 2*w^3 - 21*w - 21]', '[1825, 365, -w^3 + 5*w^2 - 7]', '[1825, 1825, -7*w^3 + 9*w^2 + 52*w + 27]', '[1825, 1825, -8*w^2 + 24*w + 19]', '[1826, 1826, w^2 + w - 6]', '[1826, 1826, -w^3 + 5*w^2 + w - 14]', '[1828, 914, -w^2 + 4*w + 10]', '[1829, 1829, -3*w^3 + 9*w^2 + 11*w - 5]', '[1831, 1831, w^3 - 4*w^2 - 4*w + 9]', '[1838, 1838, 5*w^3 - 15*w^2 - 19*w + 18]', '[1838, 1838, -w^3 + 2*w^2 + 3*w + 8]', '[1840, 230, 4*w^2 - 10*w - 14]', '[1840, 230, 4*w^3 - 12*w^2 - 12*w + 6]', '[1844, 922, -10*w^3 + 27*w^2 + 46*w - 22]', '[1844, 922, -10*w^3 + 23*w^2 + 44*w - 16]', '[1849, 43, -6*w^3 + 10*w^2 + 39*w + 11]', '[1849, 43, -12*w^3 + 32*w^2 + 52*w - 31]', '[1849, 1849, -4*w^3 + 13*w^2 + 14*w - 19]', '[1849, 1849, 2*w^3 - 5*w^2 - 5*w - 3]', '[1852, 926, -16*w^3 + 43*w^2 + 68*w - 42]', '[1852, 926, 3*w^2 - 8*w - 14]', '[1853, 1853, -2*w^3 + 7*w^2 + 4*w - 17]', '[1853, 1853, -3*w^3 + 8*w^2 + 15*w - 13]', '[1856, 116, -4*w^3 + 10*w^2 + 16*w - 4]', '[1859, 1859, 4*w^3 - 11*w^2 - 11*w + 1]', '[1861, 1861, w^3 - 2*w^2 - 3*w - 7]', '[1863, 69, 3*w^3 - 9*w^2 - 12*w + 15]', '[1865, 1865, w^3 - 2*w^2 - w - 3]', '[1865, 1865, -4*w^3 + 11*w^2 + 10*w - 1]', '[1867, 1867, -3*w^3 + 6*w^2 + 15*w + 11]', '[1868, 934, 3*w^3 - 7*w^2 - 8*w]', '[1868, 934, w^3 - 5*w^2 - 2*w + 8]', '[1870, 1870, -w^3 + w^2 + 11*w + 4]', '[1870, 1870, -w^3 + 2*w^2 - w + 2]', '[1871, 1871, -3*w^3 + 9*w^2 + 8*w - 11]', '[1873, 1873, 4*w^3 - 8*w^2 - 23*w + 1]', '[1873, 1873, w^3 - 9*w - 3]', '[1877, 1877, -5*w^3 + 15*w^2 + 18*w - 15]', '[1877, 1877, w^3 - 2*w^2 - 6*w - 7]', '[1879, 1879, 5*w^3 - 14*w^2 - 15*w + 3]', '[1879, 1879, 7*w^3 - 17*w^2 - 32*w + 13]', '[1885, 1885, -4*w^3 + 11*w^2 + 12*w - 7]', '[1885, 1885, w^3 - 5*w^2 + 3*w + 11]', '[1888, 236, -4*w^3 + 10*w^2 + 14*w - 8]', '[1892, 946, 3*w^2 - 8*w + 4]', '[1892, 946, 4*w^3 - 11*w^2 - 8*w + 6]', '[1894, 1894, 8*w^3 - 20*w^2 - 35*w + 18]', '[1894, 1894, 3*w^3 - 7*w^2 - 17*w + 2]', '[1894, 1894, w^3 - 9*w + 4]', '[1894, 1894, 4*w^2 - 7*w - 6]', '[1895, 1895, -w^2 - 2*w + 5]', '[1895, 1895, 5*w^3 - 12*w^2 - 19*w + 11]', '[1898, 1898, -w^3 + 7*w^2 - 9*w - 8]', '[1903, 1903, 4*w^3 - 13*w^2 - 10*w + 7]', '[1906, 1906, -3*w^3 + 9*w^2 + 13*w - 6]', '[1906, 1906, 5*w^3 - 13*w^2 - 23*w + 8]', '[1909, 1909, 4*w^3 - 14*w^2 - 11*w + 27]', '[1909, 1909, 2*w^3 - 7*w^2 - 7*w + 13]', '[1912, 478, 3*w^3 - 10*w^2 - 8*w + 14]', '[1916, 958, -5*w^3 + 13*w^2 + 24*w - 10]', '[1922, 1922, -2*w^3 + 3*w^2 + 11*w]', '[1933, 1933, -3*w^3 + 8*w^2 + 9*w - 11]', '[1934, 1934, -3*w^3 + 10*w^2 + 7*w - 18]', '[1936, 242, 4*w^2 - 10*w - 18]', '[1937, 1937, -w^3 + w^2 + 5*w + 7]', '[1937, 1937, 6*w^3 - 19*w^2 - 10*w + 7]', '[1948, 974, -w^3 + 5*w^2 - 10]', '[1948, 974, 4*w^3 - 9*w^2 - 22*w - 2]', '[1949, 1949, 7*w^3 - 20*w^2 - 25*w + 27]', '[1949, 1949, 3*w^3 - 9*w^2 - 5*w - 1]', '[1951, 1951, -w^3 + 5*w^2 - 4*w - 9]', '[1951, 1951, -w^3 - 2*w^2 + 15*w + 17]', '[1955, 1955, 3*w^3 - 6*w^2 - 19*w - 3]', '[1955, 1955, -w^3 + 4*w^2 + 6*w - 7]', '[1958, 1958, -w^3 - w^2 + 11*w + 12]', '[1964, 982, -5*w^3 + 13*w^2 + 18*w - 18]', '[1969, 1969, -w^3 - 2*w^2 + 17*w + 15]', '[1969, 1969, 3*w^2 - 6*w - 11]', '[1972, 986, 2*w^3 - 5*w^2 - 6*w + 10]', '[1975, 395, 9*w^3 - 23*w^2 - 41*w + 21]', '[1975, 395, w^3 - 13*w - 3]', '[1975, 1975, 4*w^3 - 12*w^2 - 12*w + 15]', '[1975, 1975, 5*w^3 - 15*w^2 - 16*w + 23]', '[1978, 1978, -4*w^3 + 10*w^2 + 13*w - 8]', '[1978, 1978, -5*w^3 + 12*w^2 + 23*w - 16]', '[1979, 1979, 5*w^3 - 16*w^2 - 15*w + 25]', '[1979, 1979, -2*w^3 + 8*w^2 + w - 9]', '[1984, 124, -2*w^3 + 6*w^2 + 12*w - 4]', '[1985, 1985, -8*w^3 + 20*w^2 + 37*w - 19]', '[1985, 1985, -3*w^3 + 11*w^2 + 4*w - 15]', '[1987, 1987, -3*w^3 + 10*w^2 + 9*w - 15]', '[1987, 1987, 9*w^3 - 23*w^2 - 41*w + 19]', '[1990, 1990, 5*w^3 - 7*w^2 - 29*w - 14]', '[1990, 1990, -w^3 + 7*w^2 - 3*w - 22]', '[1991, 1991, 4*w^3 - 9*w^2 - 17*w + 5]', '[1991, 1991, -w^3 + 5*w^2 - w + 1]', '[1999, 1999, 2*w^3 - 6*w^2 - 4*w + 9]', '[2000, 10, -6*w^3 + 14*w^2 + 28*w - 6]', '[2000, 10, 2*w^3 - 2*w^2 - 14*w - 14]', '[2000, 50, 2*w^3 - 6*w^2 - 2*w + 6]', '[2000, 50, -4*w^3 + 8*w^2 + 20*w + 6]', '[2000, 250, 2*w^2 - 2*w - 10]', '[2000, 250, 6*w^3 - 12*w^2 - 34*w - 2]', '[2003, 2003, -2*w^3 + 5*w^2 + 12*w - 11]', '[2003, 2003, 8*w^3 - 20*w^2 - 35*w + 15]', '[2005, 2005, -2*w^3 + 3*w^2 + 13*w + 1]', '[2005, 2005, 4*w^2 - 10*w - 11]', '[2006, 2006, -12*w^3 + 32*w^2 + 47*w - 34]', '[2008, 502, 9*w^3 - 24*w^2 - 40*w + 22]', '[2008, 502, -w^3 + 6*w^2 - 6*w - 12]', '[2012, 1006, 10*w^3 - 25*w^2 - 42*w + 24]', '[2015, 2015, -w^3 + 12*w + 1]', '[2015, 2015, -5*w^3 + 15*w^2 + 17*w - 17]', '[2017, 2017, -2*w^3 + 7*w^2 + 3*w - 15]', '[2017, 2017, -5*w^3 + 12*w^2 + 23*w - 11]', '[2018, 2018, w^3 - 3*w^2 + 5*w + 6]', '[2018, 2018, -2*w^3 + 8*w^2 + 7*w - 12]', '[2020, 1010, 3*w^3 - 9*w^2 - 14*w + 12]', '[2020, 1010, 8*w^3 - 17*w^2 - 42*w - 2]', '[2020, 1010, -4*w^3 + 9*w^2 + 22*w - 2]', '[2020, 1010, w^2 + 4]', '[2024, 506, w^3 - 6*w^2 + 4*w + 8]', '[2025, 15, 3*w^3 - 6*w^2 - 15*w + 3]', '[2025, 15, 3*w^2 - 9*w - 3]', '[2025, 75, 3*w^3 - 12*w^2 + 9]', '[2025, 75, -3*w^2 + 6*w + 9]', '[2026, 2026, 3*w^2 - 7*w - 4]', '[2029, 2029, 2*w^3 - 8*w^2 - 5*w + 17]', '[2029, 2029, -8*w^3 + 21*w^2 + 35*w - 17]', '[2032, 254, -6*w^3 + 16*w^2 + 22*w - 14]', '[2032, 254, -2*w^3 + 4*w^2 + 14*w + 2]', '[2039, 2039, 5*w^2 - 10*w - 27]', '[2039, 2039, 3*w^3 - 8*w^2 - 8*w - 3]', '[2039, 2039, 7*w^3 - 18*w^2 - 33*w + 13]', '[2039, 2039, -3*w^3 + 7*w^2 + 11*w - 3]', '[2045, 2045, 8*w^3 - 26*w^2 - 14*w + 5]', '[2045, 2045, 2*w^3 - 6*w^2 - 3*w + 7]', '[2045, 2045, -w^3 + 5*w^2 - 6*w - 5]', '[2045, 2045, -4*w^3 + 13*w^2 + 9*w - 3]', '[2047, 2047, -2*w^3 + 7*w^2 + 3*w + 1]', '[2048, 8, -4*w^3 + 8*w^2 + 24*w]', '[2053, 2053, 2*w^3 - 8*w^2 - 2*w + 7]', '[2053, 2053, -w^2 + 8*w - 3]', '[2054, 2054, -4*w^3 + 14*w^2 + 7*w - 20]', '[2056, 514, w^3 - 6*w^2 + 8*w + 10]', '[2057, 2057, -4*w^3 + 13*w^2 + 9*w - 5]', '[2060, 1030, 3*w^3 - 3*w^2 - 26*w - 14]', '[2060, 1030, 2*w^3 - 5*w^2 - 4*w - 2]', '[2060, 1030, -6*w^3 + 11*w^2 + 36*w + 14]', '[2060, 1030, w^3 - 5*w^2 + 8]', '[2063, 2063, -3*w^3 + 6*w^2 + 19*w - 3]', '[2063, 2063, 2*w^3 - 8*w^2 - 4*w + 19]', '[2075, 415, 3*w^3 - 5*w^2 - 14*w + 1]', '[2075, 415, w^3 - 10*w - 3]', '[2075, 415, 4*w^3 - 7*w^2 - 24*w - 5]', '[2075, 415, 6*w^3 - 12*w^2 - 30*w + 1]', '[2075, 2075, w^3 - 6*w^2 + 3*w + 7]', '[2075, 2075, -w^3 - w^2 + 11*w + 11]', '[2075, 2075, -w^3 - w^2 + 9*w + 9]', '[2075, 2075, -3*w^3 + 2*w^2 + 23*w + 19]', '[2080, 260, -2*w^3 + 4*w^2 + 14*w - 4]', '[2080, 260, -2*w^3 + 2*w^2 + 14*w + 16]', '[2081, 2081, 3*w^3 - 2*w^2 - 27*w - 21]', '[2083, 2083, -3*w^3 + 9*w^2 + 10*w - 3]', '[2083, 2083, -6*w^3 + 16*w^2 + 22*w - 19]', '[2092, 1046, -3*w^3 + 7*w^2 + 6*w - 2]', '[2098, 2098, -4*w^3 + 9*w^2 + 21*w + 2]', '[2104, 526, 7*w^3 - 16*w^2 - 36*w + 6]', '[2104, 526, -5*w^3 + 12*w^2 + 20*w - 10]', '[2105, 2105, 2*w^3 - 8*w^2 - 8*w + 9]', '[2105, 2105, w^3 + w^2 - 13*w - 7]', '[2105, 2105, w^3 - 5*w^2 + 9]', '[2105, 2105, w^3 - 7*w - 1]', '[2106, 78, -6*w^3 + 18*w^2 + 21*w - 24]', '[2108, 1054, -3*w^2 + 8*w + 16]', '[2110, 2110, 5*w^3 - 15*w^2 - 9*w + 4]', '[2110, 2110, -5*w^3 + 15*w^2 + 17*w - 16]', '[2113, 2113, 3*w^3 - 8*w^2 - 12*w + 13]', '[2116, 1058, 3*w^2 - 6*w - 10]', '[2117, 2117, 2*w^3 - 6*w^2 - 6*w - 3]', '[2119, 2119, -5*w^3 + 12*w^2 + 24*w - 3]', '[2119, 2119, -w^3 + 5*w^2 + w - 9]', '[2125, 85, -7*w^3 + 17*w^2 + 34*w - 11]', '[2125, 85, -3*w^3 + 7*w^2 + 14*w + 7]', '[2125, 425, -2*w^3 + 2*w^2 + 18*w + 7]', '[2125, 425, -2*w^3 + 7*w^2 + 3*w - 13]', '[2125, 2125, -w^3 + 3*w^2 - w + 3]', '[2125, 2125, -8*w^3 + 21*w^2 + 36*w - 19]', '[2126, 2126, 4*w^3 - 9*w^2 - 17*w - 4]', '[2137, 2137, -w^3 + 2*w^2 + 4*w + 9]', '[2141, 2141, -4*w^3 + 12*w^2 + 14*w - 21]', '[2141, 2141, 3*w - 7]', '[2143, 2143, -2*w^3 + 9*w^2 - 2*w - 17]', '[2143, 2143, 2*w^3 - 6*w^2 - 4*w + 11]', '[2150, 430, -w^3 + 13*w - 2]', '[2150, 430, 3*w^3 - 11*w^2 + 3*w + 2]', '[2150, 430, -4*w^3 + 15*w^2 + 5*w - 8]', '[2150, 430, -2*w^3 + 8*w^2 - w - 10]', '[2150, 2150, 5*w^3 - 15*w^2 - 11*w + 8]', '[2150, 2150, 3*w^2 - 11*w + 6]', '[2150, 2150, -3*w^3 + 7*w^2 + 17*w - 6]', '[2150, 2150, -8*w^3 + 23*w^2 + 29*w - 24]', '[2152, 538, w^3 - 8*w - 2]', '[2152, 538, 5*w^3 - 12*w^2 - 22*w - 2]', '[2155, 2155, 4*w^3 - 10*w^2 - 15*w + 7]', '[2155, 2155, -3*w^3 + 12*w^2 - 2*w - 11]', '[2155, 2155, 3*w^2 - 8*w - 15]', '[2155, 2155, -w^3 + w^2 + 11*w - 1]', '[2158, 2158, -7*w^3 + 23*w^2 + 21*w - 40]', '[2158, 2158, -4*w^3 + 13*w^2 + 13*w - 20]', '[2159, 2159, -20*w^3 + 54*w^2 + 80*w - 57]', '[2159, 2159, -4*w^3 + 12*w^2 + 16*w - 17]', '[2161, 2161, -4*w^3 + 13*w^2 + 10*w - 11]', '[2161, 2161, 3*w^3 - 7*w^2 - 17*w - 3]', '[2165, 2165, -3*w^3 + 11*w^2 + 7*w - 5]', '[2165, 2165, 5*w^3 - 18*w^2 - 6*w + 5]', '[2168, 542, 11*w^3 - 28*w^2 - 48*w + 22]', '[2168, 542, 3*w^3 - 6*w^2 - 16*w - 10]', '[2176, 68, 2*w^3 - 8*w^2 - 4*w + 16]', '[2179, 2179, w^3 - 3*w^2 - 6*w + 9]', '[2180, 1090, -3*w^3 + 9*w^2 + 12*w - 16]', '[2180, 1090, -4*w^3 + 9*w^2 + 18*w + 2]', '[2180, 1090, -w^3 + 7*w^2 - 8*w - 8]', '[2180, 1090, 3*w^3 - 9*w^2 - 6*w + 8]', '[2182, 2182, 5*w^2 - w]', '[2182, 2182, -w^3 + 5*w^2 + w - 8]', '[2188, 1094, 5*w^3 - 13*w^2 - 26*w + 6]', '[2188, 1094, 2*w^3 - 3*w^2 - 4*w - 2]', '[2189, 2189, -8*w^3 + 14*w^2 + 53*w + 23]', '[2192, 274, -4*w^3 + 10*w^2 + 18*w - 2]', '[2194, 2194, -2*w^2 + 5*w + 14]', '[2194, 2194, w^3 + w^2 - 5*w]', '[2195, 2195, -4*w^3 + 16*w^2 - w - 3]', '[2195, 2195, 4*w^3 - 10*w^2 - 19*w + 15]', '[2195, 2195, 5*w^3 - 15*w^2 - 14*w + 7]', '[2195, 2195, 7*w^3 - 22*w^2 - 22*w + 17]', '[2197, 13, -4*w^3 + 10*w^2 + 19*w - 3]', '[2197, 2197, 3*w^3 - 5*w^2 - 19*w - 3]', '[2200, 110, -5*w^3 + 12*w^2 + 24*w - 12]', '[2200, 110, w^3 - 6*w^2 + 6*w + 4]', '[2200, 550, -3*w^3 + 10*w^2 + 10*w - 14]', '[2200, 550, -3*w^3 + 10*w^2 + 8*w - 10]', '[2203, 2203, 2*w^3 - w^2 - 16*w - 23]', '[2203, 2203, -2*w^3 + 7*w^2 - 7]', '[2210, 2210, 3*w^3 - 10*w^2 - 11*w + 12]', '[2210, 2210, -2*w^3 + 9*w^2 - 3*w - 4]', '[2215, 2215, 2*w^2 - 7*w + 5]', '[2215, 2215, -w^3 + 6*w^2 - 3*w - 17]', '[2215, 2215, 7*w^3 - 23*w^2 - 12*w + 9]', '[2215, 2215, 5*w^3 - 14*w^2 - 20*w + 11]', '[2216, 554, -7*w^3 + 16*w^2 + 34*w - 4]', '[2216, 554, w^3 - 6*w^2 - 6*w + 2]', '[2218, 2218, -w^3 + 7*w^2 + 7*w - 4]', '[2222, 2222, -5*w^3 + 14*w^2 + 19*w - 10]', '[2222, 2222, -3*w^3 + 10*w^2 + 11*w - 16]', '[2224, 278, -2*w^3 + 6*w^2 + 4*w - 10]', '[2225, 445, 2*w^3 - 6*w^2 - 12*w + 5]', '[2225, 445, 6*w^3 - 13*w^2 - 31*w + 3]', '[2225, 2225, w^3 - 7*w^2 + 8*w + 13]', '[2225, 2225, -2*w^3 + 20*w + 19]', '[2228, 1114, -14*w^3 + 39*w^2 + 56*w - 44]', '[2228, 1114, -3*w^3 + 5*w^2 + 12*w - 6]', '[2230, 2230, -2*w^3 + 10*w^2 - 5*w - 8]', '[2230, 2230, -2*w^3 + 6*w^2 + 9*w - 12]', '[2234, 2234, 4*w^2 - 5*w + 2]', '[2236, 1118, 4*w^3 - 9*w^2 - 18*w + 10]', '[2236, 1118, 10*w^3 - 27*w^2 - 38*w + 28]', '[2245, 2245, -6*w^3 + 21*w^2 + 8*w - 11]', '[2245, 2245, -4*w^3 + 11*w^2 + 17*w - 7]', '[2245, 2245, -w^3 + 11*w - 5]', '[2245, 2245, -w^3 - 2*w^2 + 14*w + 19]', '[2246, 2246, 5*w^3 - 13*w^2 - 19*w + 10]', '[2248, 562, 5*w^3 - 10*w^2 - 26*w - 8]', '[2248, 562, -w^3 + 6*w^2 - 2*w - 22]', '[2249, 2249, 5*w^3 - 13*w^2 - 24*w + 13]', '[2251, 2251, -2*w^3 + 2*w^2 + 14*w + 15]', '[2252, 1126, -15*w^3 + 41*w^2 + 64*w - 42]', '[2258, 2258, 3*w^3 - 6*w^2 - 13*w]', '[2258, 2258, 2*w^3 - 10*w^2 - w + 6]', '[2263, 2263, w^3 + 3*w^2 - 20*w - 17]', '[2264, 566, 13*w^3 - 36*w^2 - 56*w + 38]', '[2266, 2266, 5*w^3 - 15*w^2 - 13*w + 2]', '[2266, 2266, -w^3 + 13*w + 4]', '[2267, 2267, 5*w^3 - 13*w^2 - 17*w + 11]', '[2269, 2269, 4*w^2 - 10*w - 13]', '[2270, 2270, w^2 - 3*w - 10]', '[2270, 2270, -3*w^3 + 7*w^2 + 9*w - 4]', '[2270, 2270, 3*w - 8]', '[2270, 2270, 6*w^3 - 16*w^2 - 21*w - 4]', '[2270, 2270, 3*w^2 - 13*w - 10]', '[2270, 2270, -6*w^3 + 17*w^2 + 17*w - 2]', '[2270, 2270, -3*w^3 + 10*w^2 + 15*w - 12]', '[2270, 2270, -2*w^3 + 8*w^2 + w - 16]', '[2273, 2273, 2*w^3 - 20*w - 25]', '[2273, 2273, -4*w^3 + 11*w^2 + 14*w - 17]', '[2281, 2281, -4*w^3 + 9*w^2 + 19*w - 7]', '[2284, 1142, -2*w^3 + 3*w^2 + 10*w - 2]', '[2285, 2285, 2*w^3 - 7*w^2 - 4*w - 1]', '[2285, 2285, -6*w^3 + 19*w^2 + 13*w - 3]', '[2288, 286, 2*w^3 - 4*w^2 - 8*w - 6]', '[2291, 2291, 7*w^3 - 18*w^2 - 29*w + 11]', '[2293, 2293, 6*w^3 - 19*w^2 - 17*w + 27]', '[2293, 2293, 3*w^3 - 6*w^2 - 17*w + 3]', '[2300, 230, -w^3 + 3*w^2 - 4*w]', '[2300, 230, 2*w^3 - 3*w^2 - 14*w]', '[2300, 1150, 5*w^3 - 15*w^2 - 18*w + 18]', '[2300, 1150, w^3 - 7*w^2 + 8*w + 12]', '[2302, 2302, 3*w^3 - 7*w^2 - 11*w + 2]', '[2305, 2305, 4*w^3 - 8*w^2 - 16*w + 5]', '[2305, 2305, w^3 - 3*w^2 + w + 7]', '[2305, 2305, -w^3 + 5*w + 7]', '[2305, 2305, 3*w^3 - 9*w^2 - 16*w + 7]', '[2306, 2306, 2*w^3 - 8*w^2 - 5*w]', '[2306, 2306, w^3 - 2*w^2 + 5*w + 4]', '[2312, 578, 5*w^3 - 14*w^2 - 16*w + 2]', '[2314, 2314, -2*w^3 + 7*w^2 + w - 8]', '[2315, 2315, 6*w^3 - 17*w^2 - 24*w + 15]', '[2315, 2315, w^2 - 3*w + 5]', '[2315, 2315, 7*w^3 - 19*w^2 - 26*w + 23]', '[2315, 2315, 3*w^3 - 7*w^2 - 17*w + 3]', '[2320, 290, -4*w^3 + 8*w^2 + 24*w + 2]', '[2320, 290, 2*w^3 - 6*w^2 - 10*w + 10]', '[2321, 2321, -3*w^3 + 8*w^2 + 13*w - 1]', '[2323, 2323, 9*w^3 - 24*w^2 - 38*w + 21]', '[2323, 2323, -3*w^3 + 6*w^2 + 14*w + 9]', '[2326, 2326, 3*w^3 - 8*w^2 - 15*w + 2]', '[2327, 2327, -5*w^3 + 19*w^2 + w - 13]', '[2327, 2327, 3*w^3 - 10*w^2 - 4*w + 9]', '[2329, 2329, -8*w^3 + 23*w^2 + 30*w - 27]', '[2333, 2333, w^3 - 4*w^2 + 2*w - 5]', '[2333, 2333, 3*w^3 - 4*w^2 - 19*w - 7]', '[2335, 2335, 6*w^3 - 17*w^2 - 17*w - 3]', '[2335, 2335, -4*w^3 + 11*w^2 + 14*w - 1]', '[2335, 2335, -3*w^3 + 5*w^2 + 21*w + 3]', '[2335, 2335, -5*w^3 + 15*w^2 + 16*w - 21]', '[2336, 292, 4*w^2 - 10*w - 12]', '[2339, 2339, -w^3 + w^2 + 11*w + 3]', '[2342, 2342, -w^3 + 7*w - 2]', '[2344, 586, -5*w^3 + 12*w^2 + 26*w - 12]', '[2347, 2347, -3*w^3 + 7*w^2 + 11*w - 1]', '[2349, 87, 6*w^3 - 18*w^2 - 15*w + 3]', '[2353, 2353, 2*w^3 - w^2 - 19*w - 9]', '[2353, 2353, 4*w^3 - 11*w^2 - 13*w + 13]', '[2357, 2357, 5*w^3 - 12*w^2 - 23*w + 1]', '[2360, 590, -3*w^3 + 8*w^2 + 16*w - 6]', '[2360, 590, 3*w^3 - 10*w^2 - 16*w + 12]', '[2363, 2363, -10*w^3 + 26*w^2 + 41*w - 25]', '[2365, 2365, -2*w^3 + 9*w^2 - 3*w - 3]', '[2365, 2365, -6*w + 1]', '[2365, 2365, 3*w^3 - 10*w^2 - w + 7]', '[2365, 2365, 4*w^3 - 13*w^2 - 12*w + 11]', '[2369, 2369, 4*w^3 - 8*w^2 - 24*w - 1]', '[2369, 2369, -4*w^3 + 10*w^2 + 17*w + 1]', '[2371, 2371, 3*w^3 - 6*w^2 - 14*w - 11]', '[2372, 1186, -4*w^3 + 11*w^2 + 12*w - 6]', '[2377, 2377, 4*w^3 - 9*w^2 - 22*w + 3]', '[2381, 2381, -5*w^3 + 11*w^2 + 25*w + 5]', '[2383, 2383, 4*w^2 - 9*w - 17]', '[2384, 298, 2*w^3 - 6*w^2 - 2*w - 2]', '[2384, 298, -4*w^3 + 8*w^2 + 20*w + 2]', '[2386, 2386, 3*w^2 - 5*w - 20]', '[2389, 2389, -4*w^3 + 11*w^2 + 16*w - 17]', '[2389, 2389, -5*w^3 + 15*w^2 + 15*w - 9]', '[2390, 2390, -5*w^3 + 12*w^2 + 23*w - 12]', '[2390, 2390, -3*w^3 + 8*w^2 + 5*w]', '[2392, 598, -w^3 + 8*w + 12]', '[2395, 2395, 4*w^3 - 14*w^2 - 2*w + 9]', '[2395, 2395, w^2 - 7*w + 1]', '[2396, 1198, -4*w^3 + 11*w^2 + 16*w - 6]', '[2396, 1198, -7*w^3 + 17*w^2 + 28*w - 16]', '[2398, 2398, -3*w^3 + 5*w^2 + 21*w + 6]', '[2398, 2398, w^3 - 6*w^2 + 7*w + 2]', '[2399, 2399, 6*w^3 - 13*w^2 - 30*w - 7]', '[2399, 2399, 4*w^3 - 11*w^2 - 18*w + 7]', '[2401, 7, -7]', '[2402, 2402, -3*w^3 + 10*w^2 + 9*w - 10]', '[2404, 1202, -3*w^3 + 9*w^2 + 8*w - 12]', '[2404, 1202, 11*w^3 - 31*w^2 - 48*w + 30]', '[2407, 2407, 4*w^3 - 11*w^2 - 14*w - 1]', '[2407, 2407, 5*w^3 - 10*w^2 - 28*w - 9]', '[2417, 2417, 6*w^3 - 15*w^2 - 27*w + 7]', '[2420, 1210, 4*w^3 - 9*w^2 - 22*w + 4]', '[2420, 1210, 9*w^3 - 25*w^2 - 34*w + 30]', '[2426, 2426, w^3 - 4*w^2 + 5*w]', '[2428, 1214, 8*w^3 - 21*w^2 - 38*w + 14]', '[2428, 1214, -3*w^2 - 2*w + 6]', '[2431, 2431, -3*w^3 + 7*w^2 + 17*w - 5]', '[2434, 2434, 4*w^3 - 11*w^2 - 11*w + 10]', '[2434, 2434, 3*w^3 - 6*w^2 - 9*w + 4]', '[2434, 2434, 3*w^3 - 6*w^2 - 13*w - 2]', '[2434, 2434, -2*w^3 + 8*w^2 + 3*w - 16]', '[2435, 2435, 5*w^3 - 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11*w^2 - 18*w + 8]', '[9824, 1228, 2*w^3 - 10*w^2 - 2*w + 8]', '[9826, 34, -4*w^3 + 9*w^2 + 9*w + 2]', '[9826, 9826, 6*w^3 - 18*w^2 - 15*w - 2]', '[9827, 9827, w^3 - 8*w^2 + 7*w + 11]', '[9829, 9829, 9*w^3 - 19*w^2 - 50*w + 1]', '[9829, 9829, 12*w^3 - 27*w^2 - 61*w + 3]', '[9836, 4918, -10*w^3 + 29*w^2 + 42*w - 34]', '[9838, 9838, -3*w^3 + 10*w^2 + 13*w - 4]', '[9839, 9839, 3*w^3 - 10*w^2 - 12*w + 3]', '[9841, 9841, -9*w^3 + 22*w^2 + 40*w - 11]', '[9841, 9841, -2*w^3 + 9*w^2 - 3*w - 17]', '[9845, 9845, -3*w^3 + 13*w^2 - 2*w - 13]', '[9845, 9845, 3*w^3 - 9*w^2 - 5*w + 11]', '[9845, 9845, 5*w^3 - 23*w^2 + 11*w + 19]', '[9845, 9845, -w^3 + 6*w^2 - 10*w - 7]', '[9854, 9854, -24*w^3 + 62*w^2 + 103*w - 58]', '[9857, 9857, -4*w^3 + 17*w^2 + 2*w - 39]', '[9857, 9857, 12*w^3 - 31*w^2 - 50*w + 27]', '[9859, 9859, -14*w^3 + 32*w^2 + 69*w - 9]', '[9859, 9859, -3*w^3 + 4*w^2 + 18*w + 23]', '[9860, 4930, -w^3 - w^2 + 16*w + 16]', '[9860, 4930, -4*w^3 + 9*w^2 + 12*w - 4]', '[9862, 9862, 2*w^3 - 2*w^2 - 13*w]', '[9862, 9862, -6*w^3 + 14*w^2 + 31*w]', '[9866, 9866, -11*w^3 + 28*w^2 + 47*w - 20]', '[9868, 4934, -w^3 + 7*w^2 - 4*w - 10]', '[9868, 4934, -19*w^3 + 51*w^2 + 82*w - 50]', '[9872, 1234, -2*w^3 - 2*w^2 + 26*w + 30]', '[9872, 1234, 4*w^3 - 8*w^2 - 16*w - 2]', '[9874, 9874, 3*w^3 - 5*w^2 - 17*w + 2]', '[9874, 9874, -w^3 + w^2 + w + 6]', '[9875, 395, -7*w^3 + 22*w^2 + 19*w - 21]', '[9875, 395, 9*w^3 - 21*w^2 - 42*w - 1]', '[9875, 1975, w^3 - 7*w^2 + 10*w + 1]', '[9875, 1975, -4*w^3 + 4*w^2 + 31*w + 29]', '[9875, 9875, -4*w^3 + 9*w^2 + 17*w + 13]', '[9875, 9875, -4*w^3 + 8*w^2 + 22*w - 5]', '[9878, 9878, 2*w^3 - 2*w^2 - 19*w + 8]', '[9878, 9878, 12*w^3 - 33*w^2 - 47*w + 42]', '[9883, 9883, -2*w^2 + 13*w - 5]', '[9886, 9886, 8*w^2 - 7*w - 8]', '[9889, 9889, -11*w^3 + 29*w^2 + 47*w - 23]', '[9890, 9890, -4*w^3 + 14*w^2 + 15*w - 18]', '[9890, 9890, -6*w^3 + 19*w^2 + 11*w - 14]', '[9890, 9890, -11*w^3 + 30*w^2 + 49*w - 30]', '[9890, 9890, w^3 - 7*w^2 + 7*w + 4]', '[9892, 4946, -12*w^3 + 31*w^2 + 48*w - 30]', '[9892, 4946, -13*w^3 + 35*w^2 + 50*w - 40]', '[9895, 9895, -11*w^3 + 31*w^2 + 40*w - 35]', '[9895, 9895, -8*w^3 + 29*w^2 + w - 13]', '[9895, 9895, -3*w^3 + 5*w^2 + 23*w - 3]', '[9895, 9895, 6*w^3 - 19*w^2 - 10*w + 13]', '[9901, 9901, -13*w^3 + 37*w^2 + 50*w - 43]', '[9902, 9902, 5*w^3 - 10*w^2 - 23*w + 6]', '[9904, 1238, 10*w^3 - 20*w^2 - 54*w - 14]', '[9904, 1238, -4*w^3 + 8*w^2 + 20*w - 6]', '[9913, 9913, -3*w^3 + 8*w^2 + 7*w + 9]', '[9913, 9913, 4*w^3 - 17*w^2 + 3*w + 9]', '[9914, 9914, -5*w^3 + 12*w^2 + 27*w - 6]', '[9914, 9914, 5*w^3 - 12*w^2 - 13*w + 8]', '[9920, 620, 2*w^3 - 10*w^2 - 4*w + 8]', '[9920, 620, 2*w^3 - 2*w^2 - 20*w]', '[9923, 9923, -3*w^3 + 5*w^2 + 18*w - 9]', '[9925, 1985, -11*w^3 + 34*w^2 + 37*w - 55]', '[9925, 1985, -8*w^3 + 21*w^2 + 32*w - 27]', '[9925, 9925, -12*w^3 + 25*w^2 + 64*w + 7]', '[9925, 9925, -9*w^3 + 22*w^2 + 38*w - 1]', '[9928, 2482, -9*w^3 + 26*w^2 + 24*w - 4]', '[9931, 9931, 9*w^3 - 21*w^2 - 38*w + 19]', '[9935, 9935, -5*w^3 + 16*w^2 + 15*w - 19]', '[9935, 9935, w^3 - w^2 - 13*w + 1]', '[9935, 9935, 9*w^3 - 19*w^2 - 48*w - 7]', '[9935, 9935, 7*w^3 - 19*w^2 - 24*w + 21]', '[9950, 1990, w^3 - 3*w^2 - 11*w - 10]', '[9950, 1990, 11*w^3 - 14*w^2 - 77*w - 50]', '[9950, 9950, -12*w^3 + 23*w^2 + 67*w + 12]', '[9950, 9950, 4*w^3 - 9*w^2 - 25*w - 2]', '[9955, 9955, 4*w^3 - 5*w^2 - 28*w - 11]', '[9955, 9955, 2*w^3 - 5*w^2 - 15*w + 1]', '[9955, 9955, 5*w^3 - 6*w^2 - 34*w - 25]', '[9955, 9955, -2*w^2 + w - 5]', '[9959, 9959, -5*w^3 + 14*w^2 + 20*w - 7]', '[9962, 9962, 4*w^3 - 13*w^2 - 7*w + 14]', '[9967, 9967, -6*w^3 + 17*w^2 + 23*w - 27]', '[9967, 9967, -4*w^3 + 6*w^2 + 24*w + 21]', '[9971, 9971, 2*w^3 - 4*w^2 - 2*w - 3]', '[9973, 9973, 2*w^3 - 4*w^2 - 7*w - 9]', '[9974, 9974, 4*w^3 - 10*w^2 - 11*w - 4]', '[9976, 2494, w^3 - 2*w^2 + 4*w - 4]', '[9976, 2494, -7*w^3 + 22*w^2 + 22*w - 16]', '[9977, 9977, -2*w^3 + 4*w^2 + 16*w + 1]', '[9977, 9977, -19*w^3 + 50*w^2 + 75*w - 55]', '[9977, 9977, -11*w^3 + 30*w^2 + 47*w - 27]', '[9977, 9977, -11*w^3 + 30*w^2 + 41*w - 37]', '[9988, 4994, 4*w^3 - 9*w^2 - 10*w + 2]', '[9988, 4994, 5*w^3 - 15*w^2 - 22*w + 20]', '[9988, 4994, 2*w^3 + w^2 - 22*w - 20]', '[9988, 4994, -w^3 + 7*w^2 - 8*w - 4]', '[9992, 2498, -w^3 - 4*w^2 + 20*w + 24]', '[9995, 9995, 4*w^3 - 14*w^2 - 13*w + 13]', '[9995, 9995, -w^3 + 7*w^2 - 6*w - 3]', '[9997, 9997, -6*w^3 + 20*w^2 + 13*w - 9]', '[10000, 10, 10]', '[10000, 50, -2*w^3 + 10*w^2 - 10*w - 14]', '[10000, 50, -16*w^3 + 44*w^2 + 62*w - 50]', '[10000, 50, 6*w^3 - 16*w^2 - 22*w - 2]', '[10000, 50, 8*w^3 - 22*w^2 - 34*w + 18]', '[10000, 250, 4*w^3 - 12*w^2 - 14*w + 2]', '[10000, 250, -6*w^3 + 14*w^2 + 32*w - 10]', '[10000, 1250, 2*w^3 - 4*w^2 - 8*w + 10]', '[10000, 1250, -2*w^3 + 10*w^2 - 6*w - 18]'], 'label': '4.4.16448.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w]', '[5, 5, -w^3 + 3*w^2 + 2*w - 1]', '[5, 5, w - 1]', '[11, 11, w^3 - 2*w^2 - 5*w - 1]', '[13, 13, -w^3 + 3*w^2 + 3*w - 1]', '[17, 17, 2*w^3 - 5*w^2 - 9*w + 5]', '[23, 23, -w^3 + 3*w^2 + 4*w - 5]', '[25, 5, -w^2 + 3*w + 1]', '[29, 29, -2*w^3 + 6*w^2 + 5*w - 1]', '[31, 31, -w^2 + 2*w + 1]', '[43, 43, -w^3 + 3*w^2 + 2*w - 3]', '[43, 43, -w^3 + 2*w^2 + 6*w - 3]', '[59, 59, 2*w^3 - 6*w^2 - 7*w + 7]', '[73, 73, 3*w^3 - 6*w^2 - 16*w - 5]', '[79, 79, -5*w^3 + 14*w^2 + 20*w - 17]', '[81, 3, -3]', '[83, 83, -w - 3]', '[83, 83, w^2 - 3*w - 7]', '[89, 89, w^2 - 2*w - 7]', '[101, 101, -2*w^3 + 5*w^2 + 8*w - 3]', '[101, 101, 5*w^3 - 14*w^2 - 19*w + 17]', '[103, 103, -w^3 + w^2 + 8*w + 3]', '[103, 103, 2*w^3 - 5*w^2 - 7*w - 1]', '[109, 109, 3*w^3 - 7*w^2 - 14*w + 1]', '[109, 109, -w^2 + 4*w + 1]', '[127, 127, -3*w^3 + 8*w^2 + 11*w - 7]', '[127, 127, -w^3 + 2*w^2 + 7*w + 1]', '[137, 137, -2*w^3 + 5*w^2 + 9*w - 1]', '[139, 139, -w^3 + 3*w^2 + 2*w - 5]', '[149, 149, w^3 - 3*w^2 - w - 1]', '[149, 149, -2*w^3 + 4*w^2 + 10*w + 1]', '[163, 163, w^3 - 4*w^2 - w + 11]', '[163, 163, 2*w^3 - 4*w^2 - 10*w + 1]', '[173, 173, -4*w^3 + 11*w^2 + 15*w - 13]', '[179, 179, 2*w^2 - 6*w - 3]', '[179, 179, -w^3 + 2*w^2 + 7*w - 1]', '[181, 181, w^3 - 10*w - 9]', '[181, 181, -3*w^3 + 8*w^2 + 14*w - 7]', '[199, 199, w^3 - 8*w - 9]', '[211, 211, 2*w - 3]', '[223, 223, -w^3 + 4*w^2 + w - 5]', '[227, 227, w^3 - 2*w^2 - 5*w - 5]', '[227, 227, -3*w^3 + 7*w^2 + 14*w - 5]', '[227, 227, -4*w^3 + 10*w^2 + 19*w - 7]', '[227, 227, w^2 - 4*w - 5]', '[239, 239, -2*w^3 + 5*w^2 + 7*w - 3]', '[251, 251, -w^3 + 4*w^2 + 2*w - 11]', '[251, 251, 2*w^3 - 6*w^2 - 6*w + 1]', '[257, 257, -3*w^3 + 6*w^2 + 16*w + 3]', '[263, 263, -w^3 + 3*w^2 + 3*w - 7]', '[263, 263, w^3 - 4*w^2 + 7]', '[269, 269, -2*w^3 + 6*w^2 + 6*w - 11]', '[269, 269, -w^3 + 4*w^2 - w - 5]', '[271, 271, -3*w^3 + 9*w^2 + 11*w - 11]', '[271, 271, w^2 - 5*w - 3]', '[277, 277, w^3 - 4*w^2 - 2*w + 7]', '[277, 277, -2*w^3 + 7*w^2 + 8*w - 9]', '[281, 281, 2*w^2 - 4*w - 5]', '[281, 281, 2*w^3 - 4*w^2 - 11*w + 1]', '[283, 283, -3*w^3 + 8*w^2 + 14*w - 11]', '[293, 293, w^3 - 2*w^2 - 6*w + 5]', '[307, 307, -2*w^3 + 5*w^2 + 7*w - 1]', '[313, 313, 2*w^3 - 4*w^2 - 9*w + 3]', '[313, 313, -2*w^3 + 5*w^2 + 6*w - 3]', '[317, 317, -2*w^3 + 5*w^2 + 9*w + 1]', '[347, 347, 4*w^3 - 9*w^2 - 21*w + 3]', '[347, 347, 4*w^3 - 10*w^2 - 18*w + 5]', '[349, 349, -2*w^3 + 6*w^2 + 7*w - 3]', '[353, 353, -w^3 + 12*w + 5]', '[353, 353, w^2 - w - 7]', '[359, 359, -2*w^3 + 5*w^2 + 6*w - 7]', '[359, 359, -w^3 + 4*w^2 - 11]', '[373, 373, -w^3 + 2*w^2 + 6*w + 5]', '[379, 379, -3*w^3 + 8*w^2 + 14*w - 5]', '[397, 397, 6*w^3 - 14*w^2 - 30*w + 7]', '[401, 401, 3*w^3 - 5*w^2 - 20*w - 7]', '[409, 409, 3*w^3 - 7*w^2 - 12*w - 3]', '[409, 409, 2*w^2 - 4*w - 7]', '[421, 421, w^3 - 11*w - 11]', '[421, 421, -w^3 + 3*w^2 + w - 7]', '[431, 431, 2*w^3 - 3*w^2 - 14*w - 3]', '[431, 431, -4*w^3 + 11*w^2 + 15*w - 15]', '[433, 433, 2*w^3 - 5*w^2 - 6*w + 1]', '[439, 439, -4*w^3 + 11*w^2 + 13*w - 9]', '[439, 439, -2*w^3 + 6*w^2 + 8*w - 11]', '[443, 443, 2*w - 5]', '[443, 443, -6*w^3 + 17*w^2 + 24*w - 21]', '[449, 449, w^3 - 2*w^2 - 8*w + 3]', '[449, 449, 4*w^3 - 12*w^2 - 15*w + 17]', '[457, 457, -2*w^3 + 4*w^2 + 9*w + 5]', '[461, 461, -3*w^3 + 6*w^2 + 15*w - 1]', '[461, 461, -3*w^3 + 7*w^2 + 17*w + 1]', '[463, 463, -4*w^3 + 10*w^2 + 17*w - 7]', '[463, 463, -3*w^3 + 10*w^2 + 9*w - 17]', '[467, 467, 4*w^3 - 8*w^2 - 21*w - 7]', '[467, 467, w^3 - 6*w^2 + 3*w + 19]', '[479, 479, -w^3 + w^2 + 8*w + 1]', '[487, 487, -4*w^3 + 11*w^2 + 14*w - 15]', '[487, 487, 3*w^3 - 6*w^2 - 15*w - 5]', '[491, 491, w^2 - 5]', '[503, 503, 2*w^3 - 5*w^2 - 11*w + 3]', '[523, 523, -3*w^3 + 7*w^2 + 13*w + 1]', '[547, 547, 2*w^3 - 3*w^2 - 12*w - 3]', '[547, 547, 2*w^3 - 3*w^2 - 12*w - 9]', '[557, 557, -3*w^3 + 9*w^2 + 9*w - 11]', '[557, 557, -6*w^3 + 15*w^2 + 27*w - 13]', '[563, 563, -3*w^3 + 7*w^2 + 14*w - 7]', '[571, 571, -5*w^3 + 11*w^2 + 26*w - 3]', '[593, 593, -6*w^3 + 15*w^2 + 26*w - 7]', '[599, 599, 7*w^3 - 18*w^2 - 29*w + 17]', '[599, 599, -2*w^3 + 6*w^2 + 8*w - 3]', '[601, 601, -7*w^3 + 20*w^2 + 28*w - 23]', '[601, 601, 3*w^3 - 7*w^2 - 12*w + 5]', '[607, 607, 5*w^3 - 12*w^2 - 24*w + 9]', '[607, 607, w^3 - 5*w^2 + 15]', '[613, 613, -w^3 + 5*w^2 - 2*w - 9]', '[617, 617, w^3 + w^2 - 13*w - 15]', '[617, 617, 2*w^3 - 4*w^2 - 8*w - 1]', '[619, 619, 5*w^3 - 10*w^2 - 27*w - 7]', '[619, 619, 2*w^3 - 4*w^2 - 10*w + 3]', '[643, 643, w^3 - 5*w^2 + 5*w + 5]', '[643, 643, 4*w^3 - 9*w^2 - 20*w - 1]', '[643, 643, 3*w^3 - 7*w^2 - 14*w - 3]', '[643, 643, -3*w^3 + 7*w^2 + 13*w - 3]', '[647, 647, -3*w^3 + 8*w^2 + 12*w - 3]', '[653, 653, -w^3 + 9*w + 13]', '[653, 653, -w^3 + 4*w^2 + 3*w - 9]', '[653, 653, -2*w^3 + 7*w^2 + 4*w - 7]', '[653, 653, w^2 - 4*w - 9]', '[673, 673, -w^3 + 5*w^2 + w - 13]', '[683, 683, w^3 - 3*w^2 - 3*w - 3]', '[701, 701, 5*w^3 - 13*w^2 - 23*w + 9]', '[709, 709, 2*w^3 - w^2 - 19*w - 15]', '[719, 719, -5*w^3 + 15*w^2 + 20*w - 19]', '[727, 727, -w - 5]', '[751, 751, -4*w^3 + 10*w^2 + 15*w - 9]', '[751, 751, 6*w^3 - 17*w^2 - 22*w + 21]', '[757, 757, 3*w^3 - 6*w^2 - 18*w - 1]', '[757, 757, -w^3 + 4*w^2 + 2*w + 1]', '[769, 769, w^2 - 2*w + 3]', '[773, 773, 5*w^3 - 12*w^2 - 23*w + 9]', '[787, 787, 2*w^3 - 4*w^2 - 5*w + 1]', '[797, 797, -3*w^3 + 8*w^2 + 10*w - 3]', '[809, 809, 2*w^2 - 5*w - 1]', '[809, 809, 4*w^3 - 6*w^2 - 28*w - 11]', '[827, 827, 4*w^3 - 8*w^2 - 22*w - 1]', '[827, 827, 2*w^2 - 6*w - 9]', '[829, 829, -w^3 + w^2 + 10*w + 1]', '[839, 839, -2*w^3 + 2*w^2 + 16*w + 7]', '[877, 877, 6*w^3 - 16*w^2 - 25*w + 13]', '[877, 877, w^3 - w^2 - 7*w + 1]', '[881, 881, 2*w^3 - 2*w^2 - 15*w - 7]', '[881, 881, -4*w^3 + 7*w^2 + 26*w + 9]', '[887, 887, 2*w^3 - 4*w^2 - 13*w - 1]', '[907, 907, 5*w^3 - 11*w^2 - 26*w - 1]', '[907, 907, 5*w^3 - 13*w^2 - 22*w + 9]', '[907, 907, w^3 - 5*w^2 + 2*w + 13]', '[907, 907, -2*w^3 + 7*w^2 + 5*w - 7]', '[911, 911, -3*w^3 + 8*w^2 + 9*w - 5]', '[919, 919, -2*w^3 + 7*w^2 + 6*w - 3]', '[919, 919, -3*w^3 + 8*w^2 + 15*w - 7]', '[947, 947, -2*w^3 + 5*w^2 + 12*w - 9]', '[947, 947, -w^2 + w - 3]', '[947, 947, 3*w^3 - 6*w^2 - 14*w - 7]', '[947, 947, -w^3 + 5*w^2 - w - 17]', '[953, 953, 3*w^3 - 9*w^2 - 9*w + 13]', '[953, 953, -4*w^3 + 13*w^2 + 11*w - 23]', '[967, 967, 8*w^3 - 20*w^2 - 33*w + 19]']}
• 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, 0, -6, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 16448, 'disc_rad': 514, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[2, 1], [1, 2]]], [7, [[4, 1]]], [11, [[3, 1], [1, 1]]], [13, [[3, 1], [1, 1]]], [17, [[3, 1], [1, 1]]], [19, [[4, 1]]], [23, [[3, 1], [1, 1]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 1], [1, 2]]], [47, [[4, 1]]], [53, [[4, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 45.34313619501854, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.16448.1', 'local_algs': ['2.4.6.7', 'm257.1.2.0', 'm257.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 257], 'rd': 11.3247408948, 'regulator': {'__RealLiteral__': 0, 'data': '10.4571501982', 'prec': 44}, 'res': {'gal': ['1,0,-258,0,4785,0,-32862,0,107902,0,-191968,0,197815,0,-121522,0,44272,0,-9178,0,1000,0,-52,0,1'], 'sib': ['-1,0,7,0,-6,0,1', '-257,0,208,0,-33,0,1', '1,-12,-102,-124,182,302,-100,-224,21,62,-6,-6,1', '1,0,-55,0,201,0,-249,0,123,0,-23,0,1', '34,-880,-1690,-342,385,82,-32,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)', '\\( a^{3} - 3 a^{2} - 4 a + 3 \\)', '\\( a^{2} - 2 a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}