Hilbert modular form data - 4.4.16448.2-4.3-a

Formats: - HTML - YAML - JSON - 2024-06-02T01:37:09.104970

• 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': 3, 'disc': 16448, 'field_bad_primes': [2, 257], 'field_label': '4.4.16448.2', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.16448.2-4.3-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2], 'level_ideal': '[4,2,-w^2 + 2*w + 3]', 'level_label': '4.3', 'level_norm': 4, 'parallel_weight': 2, 'short_label': '4.3-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^3 + 6*w + 5]', -1]], 'hecke_eigenvalues': ['e', 0, '-e - 1', 'e - 1', '-2*e^2 - 2*e + 5', '-e^2 - 4*e - 1', '-3*e^2 - 2*e + 11', -1, 'e^2 - e - 9', '5*e^2 + 7*e - 9', 'e + 6', '2*e^2 + e - 12', '-3*e - 7', 'e^2 + 8*e', '-3*e^2 + 6', '2*e^2 + 4*e - 7', '-4*e^2 - 10*e + 8', '2*e - 4', '-2*e^2 - 4*e + 5', 'e^2 + 5*e - 5', '3*e^2 - 7', '-e^2 - 4*e - 7', 'e^2 - 5*e - 7', '5*e^2 + 5*e - 13', '-4*e^2 + e + 14', '-7*e - 10', '3*e^2 + 10*e - 13', 'e^2 - 13', '-2*e^2 + e + 9', '5*e', '4*e^2 + 5*e - 12', '2*e^2 + 9*e - 3', '-5*e^2 - 9*e + 8', '-3*e^2 - 9*e - 4', '3*e^2 - e - 18', '-3*e^2 - 5*e + 6', '-3*e^2 - 11*e + 5', '-3*e^2 - 3*e + 17', '-2*e^2 - 2*e - 6', '10*e^2 + 14*e - 18', '-6*e^2 - 9*e + 5', '3*e + 2', '4*e^2 + 3*e - 22', '6*e^2 + 7*e - 7', '2*e^2 - 2*e + 6', '6*e^2 + 6*e - 6', '5*e^2 + 6*e - 24', '5*e^2 + 13*e - 15', '-3*e^2 - e - 9', '-7*e^2 - 2*e + 18', '-5*e^2 - 8*e + 9', '-6*e^2 - 10*e', '11*e^2 + 8*e - 27', '-2*e^2 - 3*e - 6', '-4*e^2 - 11*e + 24', '-4*e^2 - 3*e + 11', '-8*e^2 - 13*e + 11', '-4*e^2 - 5*e + 24', '4*e^2 + 15*e', '9*e^2 + 4*e - 25', '-4*e^2 - 7*e - 4', '-5*e^2 + e + 15', '3*e^2 + 11*e - 15', '2*e^2 - 4', '-6*e^2 + 20', '12*e^2 + 13*e - 19', '9*e + 5', '-4*e^2 + e + 6', '4*e^2 + 13*e + 6', '2*e^2 + 4*e + 15', '4*e^2 - 2*e - 15', '-3*e^2 - 10', '-7*e^2 - 12*e + 8', '5*e^2 + 10*e - 6', '-3*e^2 + 6*e + 12', '-e^2 + 2*e + 18', '-2*e^2 + 11*e + 6', '14*e^2 + 19*e - 30', '-9*e^2 - 14*e + 18', '4*e^2 - e - 28', '-9*e - 4', '-15*e - 6', '6*e^2 + 17*e - 24', '3*e^2 - 6*e - 7', '-7*e^2 + 29', '-7*e^2 - 12*e - 7', '-9*e^2 + 2*e + 41', '-3*e^2 + 17', '-e^2 - 6*e + 5', '-6*e^2 + 9*e + 33', '-6*e^2 - 3*e + 21', '-5*e^2 - 17*e - 1', '-5*e^2 - 11*e + 5', '4*e^2 + 11*e - 25', '-4*e^2 + e + 11', '-e^2 + 3*e - 18', '-e^2 - 5*e + 18', '3*e^2 + 18*e - 4', '-e^2 - 2*e - 4', '9*e^2 + 12*e - 3', '-11*e^2 - 16*e + 33', '-11*e^2 - 11*e + 44', '13*e^2 + 9*e - 40', '7*e^2 + 17*e', '5*e^2 + 12*e - 24', 'e^2 - 8*e', '-13*e^2 - 19*e + 36', '10*e^2 + 12*e - 33', '4*e^2 - 10*e - 27', '7*e^2 + 7*e - 40', '11*e^2 + 15*e - 16', '20*e^2 + 21*e - 43', '8*e^2 + 15*e - 7', '-7*e^2 - 3*e - 3', '-7*e^2 - 23*e + 21', '-5*e^2 - 6*e - 10', '5*e^2 - 3*e - 40', '5*e^2 + 6*e - 25', '-13*e^2 - 12*e + 23', '-5*e^2 - 15*e - 4', '2*e^2 - 5*e + 6', '2*e^2 - 5*e + 6', '-e^2 + 3*e + 27', '3*e^2 - 7*e - 3', 'e^2 - 7*e + 8', '-13*e^2 - 15*e + 44', 'e^2 - 4*e + 3', '-7*e^2 - 8*e + 39', '-7*e^2 - 19*e + 12', '-7*e^2 - 23*e + 24', '-8*e^2 + 2*e + 48', '4*e^2 + e + 9', '-4*e^2 - 21*e - 3', '-8*e^2 - 22*e + 12', '4*e^2 + 6*e - 1', '4*e^2 + 18*e - 1', '3*e^2 + 9*e - 6', '7*e^2 + e + 6', '10*e^2 + 31*e - 36', '2*e^2 - 13*e - 36', '-8*e^2 - 23*e + 18', '-11*e^2 - 34*e + 24', '5*e^2 + 10*e - 18', '-10*e^2 - 19*e', '-2*e^2 + 18*e + 32', '2*e^2 + 2*e - 4', '5*e^2 - 52', '9*e^2 + 24*e - 16', '-6*e^2 - 10*e + 12', '2*e^2 + 2*e + 36', '-e^2 + 4*e - 19', '2*e^2 + 7*e + 29', '14*e^2 + 13*e - 31', '-7*e^2 - 18*e + 17', '-11*e^2 - 36*e + 30', '-15*e^2 - 8*e + 54', '-9*e^2 + 8*e + 57', '5*e^2 + 26*e + 9', '-14*e^2 - 31*e + 14', '-7*e - 16'], 'hecke_polynomial': 'x^3 + 2*x^2 - 3*x - 3', 'label': '4.4.16448.2-4.3-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^3 - 3*w^2 - 3*w + 10]', '[2, 2, w^3 - 6*w - 5]', '[4, 2, -w^2 + 4]', '[4, 2, w^2 - w - 4]', '[4, 2, w^2 - 2*w - 3]', '[7, 7, -w^3 + 3*w^2 + 2*w - 7]', '[7, 7, -w^3 + 5*w + 3]', '[8, 2, -w^3 + 3*w^2 + 4*w - 12]', '[8, 2, -w^3 + 7*w + 6]', '[8, 4, w^2 - 2*w - 2]', '[8, 4, w^2 - 3]', '[14, 14, w]', '[14, 14, -w^3 + w^2 + 5*w + 2]', '[14, 14, w^3 - 2*w^2 - 4*w + 7]', '[14, 14, w - 1]', '[16, 2, 2]', '[16, 4, -w^3 + w^2 + 4*w - 2]', '[16, 4, -w^2 + 2]', '[16, 4, -w^2 + 2*w + 1]', '[16, 4, -w^3 + 2*w^2 + 3*w - 2]', '[28, 14, -w^3 + 4*w^2 + 2*w - 14]', '[28, 14, w^2 - 3*w]', '[28, 14, w^3 + w^2 - 5*w - 7]', '[28, 14, w^3 - 4*w^2 + 10]', '[28, 14, -w^2 - w + 2]', '[28, 14, w^3 + w^2 - 7*w - 9]', '[31, 31, -w^3 + 2*w^2 + 3*w - 5]', '[31, 31, -w^2 - w + 1]', '[31, 31, -w^2 + 3*w - 1]', '[31, 31, -w^3 + w^2 + 4*w + 1]', '[32, 4, 2*w^3 - 6*w^2 - 6*w + 20]', '[32, 4, -w^3 + 3*w^2 + 2*w - 6]', '[32, 4, w^3 - 5*w - 2]', '[32, 4, 2*w^3 - 12*w - 10]', '[32, 8, -w^2 + 6]', '[32, 8, w^2 - 2*w - 5]', '[41, 41, -w^3 + 3*w^2 + 2*w - 9]', '[41, 41, w^3 + w^2 - 8*w - 11]', '[47, 47, w^3 - w^2 - 4*w + 1]', '[47, 47, w^3 - 2*w^2 - 3*w + 3]', '[49, 7, 2*w^2 - 2*w - 7]', '[49, 7, 2*w^2 - 2*w - 9]', '[49, 49, w^3 - 2*w^2 - 3*w + 7]', '[49, 49, w^3 - w^2 - 4*w - 3]', '[56, 14, w^3 - w^2 - 4*w]', '[56, 14, -w^3 + 4*w^2 + 3*w - 14]', '[56, 14, w^3 + w^2 - 8*w - 8]', '[56, 14, w^3 - 2*w^2 - 3*w + 4]', '[56, 28, -w^3 + 4*w]', '[56, 28, w^2 - 2*w - 6]', '[56, 28, -w^2 + 7]', '[56, 28, w^3 - 3*w^2 - w + 3]', '[62, 62, -w - 3]', '[62, 62, -w^3 + 2*w^2 + 4*w - 3]', '[62, 62, 2*w^2 - 3*w - 9]', '[62, 62, 2*w^3 - 6*w^2 - 3*w + 11]', '[62, 62, 2*w^3 - 9*w - 4]', '[62, 62, -2*w^2 + w + 10]', '[62, 62, w^3 - w^2 - 5*w + 2]', '[62, 62, w - 4]', '[64, 4, -2*w^2 + 8]', '[64, 4, 2*w^2 - 2*w - 8]', '[64, 4, 2*w^2 - 4*w - 6]', '[64, 8, 2*w^3 + w^2 - 8*w - 6]', '[64, 8, -w^3 - w^2 + 6*w + 6]', '[64, 8, 2*w^3 - 7*w^2 + 11]', '[64, 8, w^3 - 4*w^2 - w + 10]', '[71, 71, 5*w^3 - 16*w^2 - 17*w + 61]', '[71, 71, -2*w^3 - 2*w^2 + 10*w + 13]', '[73, 73, 3*w^3 + w^2 - 18*w - 17]', '[73, 73, w^3 - 5*w - 1]', '[73, 73, w^3 - 7*w - 3]', '[73, 73, -3*w^3 + 10*w^2 + 7*w - 31]', '[81, 3, -3]', '[82, 82, -4*w^3 + 12*w^2 + 15*w - 48]', '[82, 82, w^3 - 3*w^2 - 3*w + 8]', '[82, 82, -w^3 + 6*w + 3]', '[82, 82, w^3 - 2*w^2 - 2*w - 1]', '[94, 94, 2*w^3 - 6*w^2 - 7*w + 24]', '[94, 94, w^3 - 3*w^2 - 5*w + 16]', '[94, 94, -w^3 + 8*w + 9]', '[94, 94, -2*w^3 + 13*w + 13]', '[97, 97, w^3 - w^2 - 6*w - 3]', '[97, 97, -w^3 + 2*w^2 + 5*w - 9]', '[98, 14, -w^3 + 3*w^2 + 5*w - 14]', '[98, 14, -3*w^3 + 9*w^2 + 11*w - 34]', '[98, 14, -w^3 + 8*w + 7]', '[98, 14, -3*w^3 + 20*w + 17]', '[98, 98, w^3 - 5*w^2 + w + 14]', '[98, 98, -w^3 + 5*w^2 - 3*w - 8]', '[98, 98, w^3 + 2*w^2 - 4*w - 7]', '[98, 98, -w^3 - 2*w^2 + 6*w + 11]', '[103, 103, -3*w^2 + w + 11]', '[103, 103, -3*w^2 + 5*w + 9]', '[112, 14, -2*w^3 + 6*w^2 + 4*w - 14]', '[112, 14, -2*w^3 + 10*w + 6]', '[112, 28, w^3 - 3*w^2 - 4*w + 14]', '[112, 28, -w^3 - w^2 + 7*w + 7]', '[112, 28, w^3 - 2*w^2 - 2*w]', '[112, 28, w^3 - 3*w^2 + 2]', '[112, 28, w^3 - 3*w]', '[112, 28, w^3 - 4*w^2 - 2*w + 12]', '[112, 28, w^3 - w^2 - 3*w + 3]', '[112, 28, -w^3 + 7*w + 8]', '[121, 11, w^2 + w - 3]', '[121, 11, -w^2 + 3*w + 1]', '[124, 62, w^3 - 2*w^2 - 4*w + 2]', '[124, 62, -w^3 + 5*w^2 - w - 13]', '[124, 62, -w^2 - w + 6]', '[124, 62, -w^3 - w^2 + 9*w + 11]', '[124, 62, -2*w^3 - w^2 + 11*w + 10]', '[124, 62, -w^3 + 2*w^2 + 2*w + 2]', '[124, 62, w^3 - w^2 - 3*w + 5]', '[124, 62, 2*w^3 - 7*w^2 - 3*w + 18]', '[124, 62, -w^3 + 4*w^2 + 4*w - 18]', '[124, 62, -w^3 + w^2 + 5*w - 3]', '[124, 62, w^2 - 3*w - 4]', '[124, 62, w^3 + 2*w^2 - 6*w - 10]', '[127, 127, w^3 - 5*w^2 + 17]', '[127, 127, -w^3 - 2*w^2 + 7*w + 13]', '[128, 4, -2*w^3 + 6*w^2 + 8*w - 24]', '[128, 4, -2*w^3 + 14*w + 12]', '[128, 8, 2*w^2 - 4*w - 4]', '[128, 8, -w^3 + 3*w^2 + 2*w - 10]', '[128, 8, -w^3 + 5*w + 6]', '[128, 8, 2*w^2 - 6]', '[128, 16, -3*w^2 + 4*w + 10]', '[128, 16, -3*w^2 + 2*w + 11]', '[137, 137, w^3 - 5*w^2 + 2*w + 13]', '[137, 137, 2*w^3 - 5*w^2 - 7*w + 15]', '[137, 137, 2*w^3 - w^2 - 11*w - 5]', '[137, 137, -w^3 - 2*w^2 + 5*w + 11]', '[142, 142, 3*w^3 - 5*w^2 - 11*w + 16]', '[142, 142, -w^3 + w^2 + 5*w + 4]', '[142, 142, -w^3 + 2*w^2 + 4*w - 9]', '[142, 142, 2*w^2 - w - 11]', '[146, 146, w^3 - 2*w^2 - 4*w + 1]', '[146, 146, w^3 - 5*w^2 + 3*w + 10]', '[146, 146, 3*w^3 - 11*w^2 - 7*w + 40]', '[146, 146, -w^3 + 4*w^2 - 11]', '[146, 146, w^3 + w^2 - 5*w - 8]', '[146, 146, w^3 - 2*w^2 - 6*w + 11]', '[146, 146, -6*w^3 - 2*w^2 + 41*w + 43]', '[146, 146, w^3 - w^2 - 5*w + 4]', '[151, 151, -4*w^3 - w^2 + 25*w + 25]', '[151, 151, 4*w^3 - 13*w^2 - 11*w + 45]', '[162, 6, -3*w^3 + 9*w^2 + 9*w - 30]', '[162, 6, -3*w^3 + 18*w + 15]', '[164, 82, -2*w^3 + 7*w^2 + 2*w - 15]', '[164, 82, -w^3 + 6*w^2 + 2*w - 22]', '[164, 82, -w^2 - w + 8]', '[164, 82, 4*w^3 - 13*w^2 - 14*w + 52]', '[164, 82, -2*w^3 - w^2 + 13*w + 16]', '[164, 82, -3*w^2 + 2*w + 13]', '[167, 167, -2*w^3 - w^2 + 15*w + 17]', '[167, 167, -2*w^3 + 7*w^2 + 7*w - 29]', '[169, 13, -w^3 - w^2 + 6*w + 5]', '[169, 13, w^3 - 4*w^2 - w + 9]', '[188, 94, -3*w^2 + 4*w + 11]', '[188, 94, -w^3 - 4*w^2 + 6*w + 18]', '[188, 94, w^2 + w - 4]', '[188, 94, -w^2 + 3*w + 2]', '[188, 94, w^3 - 7*w^2 + 5*w + 19]', '[188, 94, -3*w^2 + 2*w + 12]', '[191, 191, w^3 - 2*w^2 - 3*w + 9]', '[191, 191, w^3 - w^2 - 4*w - 5]', '[193, 193, -4*w^2 + 2*w + 17]', '[193, 193, w^2 + w - 5]', '[193, 193, w^2 - 3*w - 3]', '[193, 193, -4*w^2 + 6*w + 15]', '[194, 194, -2*w^2 + w + 12]', '[194, 194, -9*w^3 + 29*w^2 + 27*w - 104]', '[194, 194, -9*w^3 - 2*w^2 + 58*w + 57]', '[194, 194, 2*w^2 - 3*w - 11]', '[196, 14, -2*w^3 + w^2 + 8*w]', '[196, 14, w^2 - w]', '[196, 14, -2*w^3 + 3*w^2 + 8*w - 8]', '[196, 14, -w^2 + w + 8]', '[196, 14, -2*w^3 + 5*w^2 + 4*w - 7]', '[196, 14, -2*w^3 + 3*w^2 + 8*w - 1]', '[196, 98, w^2]', '[196, 98, 3*w^2 - w - 14]', '[196, 98, w^3 - 3*w^2 - 3*w + 7]', '[196, 98, -w^3 + 6*w + 2]', '[196, 98, -3*w^2 + 5*w + 12]', '[196, 98, w^2 - 2*w + 1]', '[206, 206, 2*w^3 - 6*w^2 - 3*w + 12]', '[206, 206, 3*w^3 + w^2 - 19*w - 18]', '[206, 206, -3*w^3 + 10*w^2 + 8*w - 33]', '[206, 206, 2*w^3 - 9*w - 5]', '[217, 217, w^3 - 4*w^2 - 3*w + 13]', '[217, 217, -2*w^3 + 6*w^2 + 4*w - 15]', '[217, 217, -3*w^3 - w^2 + 20*w + 19]', '[217, 217, w^3 - 3*w^2 - 2*w + 11]', '[217, 217, w^3 - 5*w - 7]', '[217, 217, 3*w^3 - 10*w^2 - 9*w + 35]', '[217, 217, -2*w^3 + 10*w + 7]', '[217, 217, -w^3 - w^2 + 8*w + 7]', '[224, 28, 2*w]', '[224, 28, -w^3 - 3*w^2 + 6*w + 14]', '[224, 28, -w^3 + 4*w^2 + w - 14]', '[224, 28, -2*w^3 + 2*w^2 + 10*w + 4]', '[224, 28, 2*w^3 - 4*w^2 - 8*w + 14]', '[224, 28, -w^3 - w^2 + 6*w + 10]', '[224, 28, w^3 - 6*w^2 + 3*w + 16]', '[224, 28, 2*w - 2]', '[224, 56, -2*w^3 - w^2 + 12*w + 14]', '[224, 56, 3*w^2 - 10]', '[224, 56, 3*w^2 - 6*w - 7]', '[224, 56, -2*w^3 + 7*w^2 + 4*w - 23]', '[233, 233, -3*w^3 + 10*w^2 + 11*w - 41]', '[233, 233, -3*w^3 - w^2 + 22*w + 23]', '[239, 239, 2*w^2 - 4*w - 3]', '[239, 239, w^3 + 2*w^2 - 7*w - 11]', '[239, 239, -w^3 + 5*w^2 - 15]', '[239, 239, 2*w^2 - 5]', '[242, 22, -4*w^2 + 7*w + 12]', '[242, 22, -2*w^3 + 9*w + 6]', '[242, 22, -2*w^3 + 6*w^2 + 3*w - 13]', '[242, 22, -4*w^2 + w + 15]', '[248, 62, w^3 + 3*w^2 - 4*w - 12]', '[248, 62, -w^3 - 2*w^2 + 7*w + 12]', '[248, 62, w^3 - 7*w - 2]', '[248, 62, -w^3 + 3*w^2 + 2*w - 12]', '[248, 62, -w^3 + 5*w + 8]', '[248, 62, -w^3 + 3*w^2 + 4*w - 8]', '[248, 62, w^3 - 5*w^2 + 16]', '[248, 62, w^3 - 6*w^2 + 5*w + 12]', '[248, 124, -w^3 - w^2 + 9*w + 9]', '[248, 124, 2*w^3 - 5*w^2 - 6*w + 15]', '[248, 124, w^3 - 5*w^2 - w + 17]', '[248, 124, -2*w^3 - w^2 + 10*w + 11]', '[248, 124, -2*w^3 + 7*w^2 + 2*w - 18]', '[248, 124, -w^3 - 2*w^2 + 8*w + 12]', '[248, 124, 2*w^3 - w^2 - 10*w - 6]', '[248, 124, -w^3 + 4*w^2 + 4*w - 16]', '[254, 254, 6*w^3 - 18*w^2 - 23*w + 72]', '[254, 254, 3*w^3 - 9*w^2 - 11*w + 32]', '[254, 254, 3*w^3 - 20*w - 15]', '[254, 254, 6*w^3 - 41*w - 37]', '[256, 4, 4]', '[256, 8, -2*w^3 + 2*w^2 + 8*w - 4]', '[256, 8, -2*w^2 + 4]', '[256, 8, -2*w^2 + 4*w + 2]', '[256, 8, -2*w^3 + 4*w^2 + 6*w - 4]', '[256, 16, w^2 - 4*w + 2]', '[256, 16, 3*w^3 + 3*w^2 - 14*w - 18]', '[256, 16, -w^2 - 2*w + 1]', '[256, 16, 3*w^3 - 12*w^2 + w + 26]', '[257, 257, -5*w^3 - 2*w^2 + 35*w + 37]', '[257, 257, 2*w - 1]', '[257, 257, -2*w^3 + 5*w^2 + 5*w - 9]', '[263, 263, 2*w^2 - 11]', '[263, 263, 2*w^2 - 4*w - 9]', '[271, 271, -w^3 + w^2 + 4*w - 5]', '[271, 271, w^3 - 2*w^2 - 3*w - 1]', '[274, 274, w^3 + w^2 - 9*w - 12]', '[274, 274, w^3 + 2*w^2 - 8*w - 13]', '[274, 274, 2*w^2 - 5*w - 3]', '[274, 274, -w^3 + 3*w^2 + w - 2]', '[274, 274, -w^3 + 4*w - 1]', '[274, 274, -2*w^2 - w + 6]', '[274, 274, -w^3 + 5*w^2 + w - 18]', '[274, 274, -w^3 + 4*w^2 + 4*w - 19]', '[281, 281, 2*w^3 + 2*w^2 - 12*w - 15]', '[281, 281, 2*w^3 - 8*w^2 - 2*w + 23]', '[284, 142, 2*w^3 - 7*w^2 - 4*w + 20]', '[284, 142, -8*w^3 + 25*w^2 + 25*w - 90]', '[284, 142, -2*w^3 + w^2 + 10*w + 3]', '[284, 142, 2*w^3 - 5*w^2 - 6*w + 12]', '[284, 142, -2*w^3 - w^2 + 7*w + 4]', '[284, 142, 2*w^3 + w^2 - 12*w - 11]', '[287, 287, -3*w^3 + 9*w^2 + 10*w - 35]', '[287, 287, 2*w^2 - 8*w + 7]', '[287, 287, -w^2 - w + 9]', '[287, 287, 2*w^3 - w^2 - 9*w + 1]', '[289, 17, 3*w^2 - 3*w - 11]', '[289, 17, 3*w^2 - 3*w - 13]', '[292, 146, -2*w^3 + 7*w^2 + 6*w - 24]', '[292, 146, 2*w^3 + 3*w^2 - 8*w - 13]', '[292, 146, -2*w^3 + w^2 + 15*w + 12]', '[292, 146, -2*w^3 + w^2 + 8*w + 4]', '[292, 146, -3*w^2 + w + 10]', '[292, 146, w^3 - w^2 - 3*w - 3]', '[292, 146, -3*w^3 + 3*w^2 + 13*w + 9]', '[292, 146, -3*w^2 + 2*w + 16]', '[292, 146, -2*w^3 + 3*w^2 + 9*w - 2]', '[292, 146, -2*w^3 - w^2 + 14*w + 13]', '[292, 146, -2*w^3 + 5*w^2 + 11*w - 26]', '[292, 146, -2*w^3 + 9*w^2 - 4*w - 16]', '[302, 302, -4*w^2 + 7*w + 15]', '[302, 302, -w^3 + 4*w^2 + 2*w - 11]', '[302, 302, -w^3 - w^2 + 7*w + 6]', '[302, 302, -4*w^2 + w + 18]', '[311, 311, 5*w^2 - w - 19]', '[311, 311, -w^3 + 2*w^2 + 5*w - 11]', '[313, 313, 2*w^3 - 5*w^2 - 11*w + 25]', '[313, 313, -2*w^3 + 8*w^2 + 4*w - 29]', '[324, 6, 3*w^2 - 12]', '[324, 6, -3*w^2 + 3*w + 12]', '[324, 6, -3*w^2 + 6*w + 9]', '[328, 82, w^3 - 2*w^2 - 5*w + 2]', '[328, 82, 7*w^3 - 23*w^2 - 20*w + 80]', '[328, 82, -w^3 + w^2 + 6*w - 4]', '[328, 82, w^3 - 6*w^2 + 3*w + 18]', '[328, 164, -3*w^3 + 10*w^2 + 4*w - 24]', '[328, 164, 2*w^3 - 5*w^2 - 6*w + 18]', '[328, 164, -3*w^2 + 13]', '[328, 164, w^2 - 4*w + 5]', '[329, 329, -2*w^3 - w^2 + 7*w + 3]', '[329, 329, 2*w - 7]', '[329, 329, -2*w - 5]', '[329, 329, 2*w^3 - 7*w^2 + w + 7]', '[334, 334, -w^3 + 3*w^2 + 3*w - 6]', '[334, 334, -2*w^3 + 2*w^2 + 7*w - 6]', '[334, 334, -2*w^3 + 4*w^2 + 5*w - 1]', '[334, 334, w^3 - 6*w - 1]', '[337, 337, -2*w^3 + 5*w^2 + 5*w - 13]', '[337, 337, 2*w^3 - w^2 - 9*w - 5]', '[338, 26, -2*w^3 + 6*w^2 + 5*w - 20]', '[338, 26, w^3 - 3*w^2 - 7*w + 20]', '[338, 26, w^3 - 10*w - 11]', '[338, 26, -2*w^3 + 11*w + 11]', '[343, 7, w^3 - w^2 - 8*w + 7]', '[343, 7, w^3 - 2*w^2 - 7*w + 1]', '[343, 49, -w^3 + 5*w^2 - 4*w - 7]', '[343, 49, -w^3 - 2*w^2 + 3*w + 7]', '[343, 343, 2*w^3 - w^2 - 13*w - 9]', '[343, 343, -2*w^3 + 5*w^2 + 9*w - 21]', '[353, 353, -2*w^3 + 8*w^2 + 4*w - 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2*w^2 + 27*w + 29]', '[386, 386, 4*w^3 + 2*w^2 - 27*w - 30]', '[388, 194, w^3 - 2*w + 2]', '[388, 194, -2*w^3 - w^2 + 13*w + 12]', '[388, 194, -2*w^3 - 3*w^2 + 18*w + 23]', '[388, 194, -2*w^3 + 9*w^2 + 6*w - 36]', '[388, 194, 2*w^3 - 7*w^2 - 5*w + 22]', '[388, 194, w^3 - 3*w^2 + w - 1]', '[392, 14, 3*w^3 - 9*w^2 - 8*w + 28]', '[392, 14, 3*w^3 - 17*w - 14]', '[392, 14, 5*w^3 - 31*w - 26]', '[392, 14, 5*w^3 - 15*w^2 - 16*w + 52]', '[392, 28, -2*w^3 + 5*w^2 + 6*w - 10]', '[392, 28, -2*w^3 + 7*w^2 + 2*w - 14]', '[392, 28, 2*w^3 + w^2 - 10*w - 7]', '[392, 28, 2*w^3 - w^2 - 10*w - 1]', '[392, 98, w^3 - 3*w^2]', '[392, 98, 3*w^3 + 2*w^2 - 15*w - 14]', '[392, 98, -3*w^3 + 11*w^2 + 2*w - 24]', '[392, 98, -w^3 + 3*w - 2]', '[392, 196, 2*w^3 - 5*w^2 - 6*w + 14]', '[392, 196, -w^2 - 2*w + 10]', '[392, 196, w^2 - 4*w - 7]', '[392, 196, 2*w^3 - w^2 - 10*w - 5]', '[401, 401, 5*w^3 + w^2 - 30*w - 29]', '[401, 401, -5*w^3 - 2*w^2 + 35*w + 39]', '[401, 401, -5*w^3 + 17*w^2 + 16*w - 67]', '[401, 401, -5*w^3 + 16*w^2 + 13*w - 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7]', '[434, 434, -w^3 + 3*w^2 + 3*w - 14]', '[434, 434, -w^3 + 3*w^2 - w]', '[439, 439, 4*w^2 - 2*w - 19]', '[439, 439, -4*w^2 + 6*w + 17]', '[448, 28, -2*w^3 + 8*w^2 + 4*w - 28]', '[448, 28, 2*w^2 - 6*w]', '[448, 28, 2*w^3 + 2*w^2 - 10*w - 14]', '[448, 28, 2*w^3 - 8*w^2 + 20]', '[448, 28, -2*w^2 - 2*w + 4]', '[448, 28, 2*w^3 + 2*w^2 - 14*w - 18]', '[448, 56, -2*w^3 + 3*w^2 + 8*w - 7]', '[448, 56, w^3 - 5*w^2 + 2*w + 14]', '[448, 56, -w^3 + 6*w]', '[448, 56, -w^3 + w^2 + 6*w - 6]', '[448, 56, w^3 - 2*w^2 - 5*w]', '[448, 56, -2*w^3 + 3*w^2 + 8*w - 2]', '[448, 56, w^3 - 3*w^2 - 3*w + 5]', '[448, 56, w^3 + 2*w^2 - 5*w - 12]', '[449, 449, w^3 - 2*w^2 - 5*w + 1]', '[449, 449, -w^3 + w^2 + 6*w - 5]', '[463, 463, -4*w^3 - w^2 + 29*w + 31]', '[463, 463, 4*w^3 - 13*w^2 - 15*w + 55]', '[466, 466, w^3 - 6*w + 1]', '[466, 466, -3*w^3 + 6*w^2 + 8*w - 3]', '[466, 466, -3*w^3 + 3*w^2 + 11*w - 8]', '[466, 466, -w^3 + 3*w^2 + 3*w - 4]', '[478, 478, 2*w^3 - 11*w - 6]', '[478, 478, -4*w^3 + 29*w + 27]', '[478, 478, -w^3 + 8*w + 5]', '[478, 478, -3*w^3 + 7*w^2 + 7*w - 8]', '[478, 478, 3*w^3 - 2*w^2 - 12*w + 3]', '[478, 478, -w^3 + 3*w^2 + 5*w - 12]', '[478, 478, -4*w^3 + 12*w^2 + 17*w - 52]', '[478, 478, 2*w^3 - 6*w^2 - 5*w + 15]', '[484, 22, 2*w^3 - w^2 - 9*w - 2]', '[484, 22, 4*w^3 + w^2 - 26*w - 24]', '[484, 22, -w^3 + 2*w^2 + 4*w - 10]', '[484, 22, 2*w^3 - 5*w^2 - 5*w + 10]', '[484, 22, w^3 - w^2 - 5*w - 5]', '[484, 22, -4*w^3 + 13*w^2 + 12*w - 45]', '[487, 487, -3*w^2 + 5*w + 13]', '[487, 487, -3*w^2 + w + 15]', '[496, 62, -2*w^3 + 4*w^2 + 6*w - 10]', '[496, 62, -2*w^2 - 2*w + 2]', '[496, 62, -2*w^2 + 6*w - 2]', '[496, 62, -2*w^3 + 2*w^2 + 8*w + 2]', '[496, 124, -w^3 + 4*w^2 - w - 4]', '[496, 124, w^3 - 2*w^2 - 2*w + 8]', '[496, 124, -2*w^3 + 7*w^2 + 8*w - 31]', '[496, 124, 3*w^3 - 17*w - 16]', '[496, 124, w^3 + 4*w^2 - 7*w - 20]', '[496, 124, -w^2 + 2*w + 9]', '[496, 124, w^3 - 2*w^2 - 6*w + 8]', '[496, 124, w^3 - 4*w^2 - 3*w + 12]', '[496, 124, -w^3 - w^2 + 8*w + 6]', '[496, 124, w^3 - w^2 - 7*w - 1]', '[496, 124, -w^2 + 10]', '[496, 124, -w^3 + 7*w^2 - 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3*w^2 - 2*w + 2]', '[512, 16, -w^3 + 5*w - 2]', '[512, 16, 2*w^2 - 4*w - 10]', '[512, 32, -w^3 + 2*w^2 + 6*w - 4]', '[512, 32, -w^3 + w^2 + 7*w - 3]', '[514, 514, -2*w^3 + 4*w^2 + 7*w - 4]', '[514, 514, -3*w^3 + 11*w^2 + 7*w - 38]', '[514, 514, 3*w + 2]', '[514, 514, -4*w^3 + 8*w^2 + 11*w - 3]', '[514, 514, 3*w^3 + 2*w^2 - 20*w - 23]', '[514, 514, 2*w^3 - 2*w^2 - 9*w + 5]', '[521, 521, -2*w^3 + 4*w^2 + 6*w - 5]', '[521, 521, 2*w^3 - 2*w^2 - 8*w + 3]', '[526, 526, -7*w^3 + 23*w^2 + 21*w - 82]', '[526, 526, -w^3 + w^2 + 7*w - 6]', '[526, 526, -w^3 + 2*w^2 + 6*w - 1]', '[526, 526, -7*w^3 - 2*w^2 + 46*w + 45]', '[529, 23, -w^2 + w - 1]', '[529, 23, w^2 - w - 9]', '[542, 542, -3*w^3 + 16*w + 11]', '[542, 542, 2*w^3 - 7*w - 1]', '[542, 542, -6*w^3 + 18*w^2 + 19*w - 64]', '[542, 542, -2*w^3 + 15*w + 16]', '[548, 274, -2*w^3 + 9*w^2 - 23]', '[548, 274, w^3 - 4*w^2 - 2*w + 10]', '[548, 274, 2*w^3 - 5*w^2 - 3*w + 4]', '[548, 274, w^3 + 2*w^2 - 10*w - 10]', '[548, 274, -8*w^3 - w^2 + 54*w + 51]', '[548, 274, -2*w^3 + 5*w^2 + 9*w - 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19]', '[1801, 1801, w^3 + w^2 - 8*w - 3]', '[1801, 1801, -w^3 + 4*w^2 + 3*w - 9]', '[1801, 1801, 4*w^3 + w^2 - 19*w - 15]', '[1823, 1823, 4*w^3 - 6*w^2 - 14*w + 19]', '[1823, 1823, 3*w^3 - 6*w^2 - 11*w + 17]', '[1831, 1831, -3*w^2 + 5*w + 17]', '[1831, 1831, -3*w^3 + w^2 + 14*w + 5]', '[1831, 1831, 3*w^3 - 8*w^2 - 7*w + 17]', '[1831, 1831, 3*w^2 - w - 19]', '[1838, 1838, -3*w^3 + 3*w^2 + 13*w + 4]', '[1838, 1838, -5*w^3 + 7*w^2 + 19*w - 24]', '[1838, 1838, 2*w^3 - 6*w^2 - 7*w + 17]', '[1838, 1838, 3*w^3 - 6*w^2 - 10*w + 17]', '[1841, 1841, -w^3 - 6*w^2 + 5*w + 23]', '[1841, 1841, 5*w^3 - 17*w^2 - 10*w + 49]', '[1841, 1841, 5*w^3 + 2*w^2 - 29*w - 27]', '[1841, 1841, -w^3 + 9*w^2 - 10*w - 21]', '[1847, 1847, -2*w^3 + 3*w^2 + 11*w - 11]', '[1847, 1847, -2*w^3 + 3*w^2 + 11*w - 1]', '[1852, 926, 3*w^3 + 5*w^2 - 17*w - 29]', '[1852, 926, -4*w^3 + 15*w^2 + 12*w - 60]', '[1852, 926, 8*w^3 + 3*w^2 - 51*w - 54]', '[1852, 926, -3*w^3 + 14*w^2 - 2*w - 38]', '[1852, 926, 8*w^3 - 27*w^2 - 21*w + 94]', '[1852, 926, -4*w^3 - 3*w^2 + 30*w + 37]', '[1864, 466, -w^3 - 7*w^2 + 6*w + 32]', '[1864, 466, -w^3 + 6*w^2 + w - 18]', '[1864, 466, -w^3 + 10*w^2 - 11*w - 30]', '[1864, 466, w^3 + 3*w^2 - 10*w - 12]', '[1864, 932, -2*w^3 + 5*w^2 + 2*w - 3]', '[1864, 932, 2*w^3 - 9*w^2 + 2*w + 15]', '[1864, 932, -2*w^3 - 3*w^2 + 10*w + 10]', '[1864, 932, -2*w^3 + w^2 + 6*w - 2]', '[1873, 1873, -9*w^3 - 3*w^2 + 62*w + 65]', '[1873, 1873, -9*w^3 + 30*w^2 + 29*w - 115]', '[1874, 1874, -w^3 + 7*w^2 + w - 32]', '[1874, 1874, -3*w^3 + 3*w^2 + 15*w - 4]', '[1874, 1874, 3*w^3 - 6*w^2 - 12*w + 11]', '[1874, 1874, -w^3 - 4*w^2 + 12*w + 25]', '[1879, 1879, w^3 - w^2 - 8*w + 5]', '[1879, 1879, -w^3 + 2*w^2 + 7*w - 3]', '[1889, 1889, w^3 + w^2 - 4*w - 11]', '[1889, 1889, -w^3 + 4*w^2 - w - 13]', '[1897, 1897, 4*w^3 - 22*w - 17]', '[1897, 1897, 6*w^3 + w^2 - 27*w - 15]', '[1897, 1897, 5*w^3 + 3*w^2 - 24*w - 21]', '[1897, 1897, 4*w^3 - 12*w^2 - 10*w + 35]', '[1906, 1906, 2*w^3 - 8*w^2 - w + 24]', '[1906, 1906, 2*w^3 + 6*w^2 - 9*w - 24]', '[1906, 1906, -7*w^3 + 24*w^2 + 20*w - 87]', '[1906, 1906, -2*w^3 - 2*w^2 + 11*w + 17]', '[1912, 478, w^3 + 6*w^2 - 5*w - 26]', '[1912, 478, -w^3 + 3*w^2 + 6*w - 4]', '[1912, 478, 3*w^3 - 7*w^2 - 10*w + 20]', '[1912, 478, 9*w^3 + 2*w^2 - 55*w - 52]', '[1912, 478, 3*w^3 - 2*w^2 - 15*w - 6]', '[1912, 478, 9*w^3 - 29*w^2 - 24*w + 96]', '[1912, 478, -w^3 + 9*w - 4]', '[1912, 478, -w^3 + 9*w^2 - 10*w - 24]', '[1912, 956, -3*w^3 - 6*w^2 + 16*w + 32]', '[1912, 956, 5*w^3 + 3*w^2 - 25*w - 23]', '[1912, 956, 2*w^3 - w^2 - 10*w + 3]', '[1912, 956, 5*w^2 - 6*w - 18]', '[1912, 956, -5*w^2 + 4*w + 19]', '[1912, 956, -2*w^3 + 5*w^2 + 6*w - 6]', '[1912, 956, -5*w^3 + 18*w^2 + 4*w - 40]', '[1912, 956, 3*w^3 - 15*w^2 + 5*w + 39]', '[1913, 1913, -3*w^3 + w^2 + 14*w + 1]', '[1913, 1913, 6*w^2 - 4*w - 27]', '[1913, 1913, 6*w^2 - 8*w - 25]', '[1913, 1913, -3*w^3 + 8*w^2 + 7*w - 13]', '[1918, 1918, w^3 + 4*w^2 - 10*w - 23]', '[1918, 1918, -4*w^3 - 2*w^2 + 19*w + 14]', '[1918, 1918, 3*w^3 - 8*w^2 - 8*w + 21]', '[1918, 1918, w^3 + 4*w^2 - 6*w - 21]', '[1918, 1918, 2*w^3 - 2*w^2 - 17*w - 11]', '[1918, 1918, -3*w^3 + 2*w^2 + 16*w + 13]', '[1918, 1918, -w^3 + w^2 + w + 6]', '[1918, 1918, w^3 + 2*w^2 - 12*w - 7]', '[1918, 1918, w^3 - 5*w^2 - 5*w + 16]', '[1918, 1918, w^3 - 2*w^2 + 7]', '[1918, 1918, -3*w^3 + 7*w^2 + 11*w - 28]', '[1918, 1918, 2*w^3 - 4*w^2 - 15*w + 28]', '[1918, 1918, w^3 - 7*w^2 + 5*w + 22]', '[1918, 1918, -3*w^3 + w^2 + 15*w + 8]', '[1918, 1918, -4*w^3 + 14*w^2 + 3*w - 27]', '[1918, 1918, -w^3 + 7*w^2 - w - 28]', '[1922, 62, -3*w^3 + 9*w^2 + 13*w - 38]', '[1922, 62, 2*w^3 - 6*w^2 - 3*w + 6]', '[1922, 62, -w^3 + 3*w^2 + 5*w - 4]', '[1922, 62, -3*w^3 + 7*w^2 + 9*w - 24]', '[1922, 62, 4*w^3 - 12*w^2 - 9*w + 34]', '[1922, 62, 2*w^2 - 5*w - 12]', '[1922, 62, -3*w^3 + 2*w^2 + 14*w + 11]', '[1922, 62, 4*w^3 - 21*w - 17]', '[1922, 62, -3*w^3 + 22*w + 19]', '[1922, 62, -2*w^2 - w + 15]', '[1922, 62, w^3 - 8*w + 3]', '[1922, 62, -2*w^3 + 9*w - 1]', '[1922, 1922, -3*w^3 + 10*w^2 + 8*w - 31]', '[1922, 1922, 4*w^3 - 27*w - 27]', '[1922, 1922, 2*w^3 - 15*w - 17]', '[1922, 1922, 3*w^3 - 2*w^2 - 12*w + 1]', '[1922, 1922, 3*w^3 - 7*w^2 - 7*w + 10]', '[1922, 1922, -2*w^3 + 6*w^2 + 9*w - 30]', '[1922, 1922, -4*w^3 + 12*w^2 + 15*w - 50]', '[1922, 1922, 3*w^3 + w^2 - 19*w - 16]', '[1927, 1927, -6*w^3 - 3*w^2 + 37*w + 41]', '[1927, 1927, 4*w^3 - 13*w^2 - 13*w + 45]', '[1927, 1927, -3*w^3 + 4*w^2 + 11*w - 15]', '[1927, 1927, -6*w^3 + 21*w^2 + 13*w - 69]', '[1934, 1934, -3*w^3 + 13*w^2 - 3*w - 30]', '[1934, 1934, 5*w^3 + 3*w^2 - 33*w - 36]', '[1934, 1934, -3*w^3 + 11*w^2 + w - 26]', '[1934, 1934, 3*w^3 + 3*w^2 - 19*w - 24]', '[1934, 1934, 3*w^3 - 12*w^2 - 4*w + 37]', '[1934, 1934, 3*w^3 + 2*w^2 - 14*w - 17]', '[1934, 1934, 5*w^3 - 18*w^2 - 12*w + 61]', '[1934, 1934, 3*w^3 + 4*w^2 - 14*w - 23]', '[1936, 22, 2*w^2 + 2*w - 6]', '[1936, 22, -2*w^2 + 6*w + 2]', '[1936, 44, -w^3 + 4*w^2 - 2*w - 12]', '[1936, 44, -5*w^3 + w^2 + 32*w + 26]', '[1936, 44, -w^3 - w^2 + 3*w + 11]', '[1936, 44, w^3 - 7*w^2 + 26]', '[1936, 44, -5*w^3 + 16*w^2 + 14*w - 52]', '[1936, 44, 5*w^3 + w^2 - 31*w - 27]', '[1936, 44, -w^3 - 4*w^2 + 11*w + 20]', '[1936, 44, 5*w^3 - 14*w^2 - 19*w + 54]', '[1948, 974, w^3 - 4*w^2 - 4*w + 10]', '[1948, 974, -w^3 + 7*w^2 - w - 23]', '[1948, 974, 2*w^3 - w^2 - 9*w - 10]', '[1948, 974, -2*w^3 + 5*w^2 + 5*w - 18]', '[1948, 974, -w^3 - 4*w^2 + 10*w + 18]', '[1948, 974, w^3 + w^2 - 9*w - 3]', '[1951, 1951, -2*w^3 + 8*w^2 + 6*w - 27]', '[1951, 1951, -2*w^3 - 2*w^2 + 16*w + 15]', '[1954, 1954, 9*w^3 - 27*w^2 - 29*w + 92]', '[1954, 1954, -12*w^3 + 36*w^2 + 41*w - 132]', '[1954, 1954, 12*w^3 - 77*w - 67]', '[1954, 1954, -9*w^3 + 56*w + 45]', '[1966, 1966, 2*w^3 + 4*w^2 - 17*w - 29]', '[1966, 1966, -13*w^3 - 4*w^2 + 84*w + 85]', '[1966, 1966, -13*w^3 + 43*w^2 + 37*w - 152]', '[1966, 1966, 2*w^3 - 10*w^2 - 3*w + 40]', '[1967, 1967, 8*w^2 - 2*w - 35]', '[1967, 1967, w^3 - 5*w^2 + 7]', '[1967, 1967, w^3 + 2*w^2 - 7*w - 3]', '[1967, 1967, 8*w^2 - 14*w - 29]', '[1982, 1982, -2*w^3 + 6*w^2 + 9*w - 24]', '[1982, 1982, -5*w^3 + 15*w^2 + 21*w - 64]', '[1982, 1982, -5*w^3 + 36*w + 33]', '[1982, 1982, -2*w^3 + 15*w + 11]', '[1984, 124, 2*w^3 - 4*w^2 - 8*w + 4]', '[1984, 124, -2*w^3 + 10*w^2 - 2*w - 26]', '[1984, 124, -2*w^2 - 2*w + 12]', '[1984, 124, -2*w^3 - 2*w^2 + 18*w + 22]', '[1984, 124, -4*w^3 - 2*w^2 + 22*w + 20]', '[1984, 124, -2*w^3 + 4*w^2 + 4*w + 4]', '[1984, 124, 2*w^3 - 2*w^2 - 6*w + 10]', '[1984, 124, 4*w^3 - 14*w^2 - 6*w + 36]', '[1984, 124, -2*w^3 + 8*w^2 + 8*w - 36]', '[1984, 124, -2*w^3 + 2*w^2 + 10*w - 6]', '[1984, 124, 2*w^2 - 6*w - 8]', '[1984, 124, 2*w^3 + 4*w^2 - 12*w - 20]', '[1984, 248, 5*w^3 - 16*w^2 - 13*w + 54]', '[1984, 248, -w^3 + 2*w^2 + 6*w + 4]', '[1984, 248, -w^3 - w^2 + 11*w + 15]', '[1984, 248, w^3 + 4*w^2 - 9*w - 22]', '[1984, 248, -3*w^3 + 2*w^2 + 15*w + 4]', '[1984, 248, 3*w^3 - 6*w^2 - 10*w + 4]', '[1984, 248, 2*w^3 + w^2 - 16*w - 13]', '[1984, 248, w^3 - 6*w^2 + 3*w + 20]', '[1984, 248, w^3 + 3*w^2 - 6*w - 18]', '[1984, 248, -3*w^3 + 3*w^2 + 13*w - 9]', '[1984, 248, 2*w^3 - 7*w^2 - 8*w + 26]', '[1984, 248, -3*w^3 + 7*w^2 + 10*w - 18]', '[1984, 248, -w^3 + 7*w^2 - 2*w - 26]', '[1984, 248, w^3 - w^2 - 7*w + 11]', '[1984, 248, -w^3 + 4*w^2 + 6*w - 24]', '[1984, 248, 5*w^3 + w^2 - 30*w - 30]', '[1988, 994, 5*w^2 - 2*w - 24]', '[1988, 994, w^3 - 5*w^2 - 5*w + 23]', '[1988, 994, 2*w^3 - 5*w^2 - 7*w + 10]', '[1988, 994, -8*w^3 + 21*w^2 + 28*w - 77]', '[1988, 994, w^3 + 10*w^2 - 8*w - 42]', '[1988, 994, -3*w^2 - w + 14]', '[1988, 994, -3*w^2 + 7*w + 10]', '[1988, 994, 2*w^3 - 3*w^2 - 10*w + 11]', '[1988, 994, -w^3 - 4*w^2 + 8*w + 18]', '[1988, 994, 2*w^3 - w^2 - 11*w]', '[1988, 994, -3*w^3 + 4*w^2 + 10*w - 14]', '[1988, 994, 5*w^2 - 8*w - 21]', '[1993, 1993, 4*w^3 - 15*w^2 - 7*w + 47]', '[1993, 1993, -6*w^3 - 2*w^2 + 42*w + 47]', '[1999, 1999, 4*w^3 - 14*w^2 - 8*w + 41]', '[1999, 1999, 2*w^3 + w^2 - 11*w - 15]', '[1999, 1999, 2*w^3 - 7*w^2 - 3*w + 23]', '[1999, 1999, 4*w^3 + 2*w^2 - 24*w - 23]', '[2009, 287, -w^3 + w^2 + 7]', '[2009, 287, w^3 - 5*w^2 - 4*w + 25]', '[2009, 287, -3*w^3 - w^2 + 18*w + 21]', '[2009, 287, -3*w^3 + w^2 + 12*w + 9]', '[2009, 2009, -2*w^3 - 4*w^2 + 12*w + 21]', '[2009, 2009, -4*w^3 + 9*w^2 + 15*w - 35]', '[2009, 2009, -w^3 + 5*w^2 + 4*w - 15]', '[2009, 2009, 2*w^3 - 10*w^2 + 2*w + 27]', '[2017, 2017, -9*w^3 - 3*w^2 + 56*w + 57]', '[2017, 2017, -9*w^3 + 30*w^2 + 23*w - 101]', '[2018, 2018, -3*w^3 + 10*w^2 + 4*w - 27]', '[2018, 2018, 2*w^3 - 2*w^2 - 7*w + 9]', '[2018, 2018, 2*w^3 - 4*w^2 - 5*w - 2]', '[2018, 2018, -2*w^3 - 2*w^2 + 17*w + 24]', '[2023, 119, w^3 - 11*w + 7]', '[2023, 119, -w^3 + 6*w^2 - 7*w - 7]', '[2023, 119, -w^3 - 3*w^2 + 2*w + 9]', '[2023, 119, w^3 - 3*w^2 - 8*w + 3]', '[2032, 254, 2*w^3 - 10*w^2 + 34]', '[2032, 254, -2*w^3 - 4*w^2 + 14*w + 26]', '[2032, 508, -3*w^3 + 9*w^2 + 12*w - 34]', '[2032, 508, -6*w^3 + 21*w^2 + 8*w - 53]', '[2032, 508, w^3 + 2*w^2 - 10*w - 8]', '[2032, 508, w^3 + 7*w^2 - 4*w - 26]', '[2032, 508, w^3 - 10*w^2 + 13*w + 22]', '[2032, 508, 6*w^3 + 3*w^2 - 32*w - 30]', '[2032, 508, -w^3 + 5*w^2 + 3*w - 15]', '[2032, 508, -3*w^3 + 21*w + 16]', '[2039, 2039, 8*w^3 - 27*w^2 - 23*w + 95]', '[2039, 2039, w^3 + 6*w^2 - 15*w - 29]', '[2039, 2039, -w^3 + 9*w^2 - 37]', '[2039, 2039, 8*w^3 + 3*w^2 - 53*w - 53]', '[2044, 1022, 4*w^3 - w^2 - 22*w - 16]', '[2044, 1022, -w^3 + 5*w^2 - 3*w - 15]', '[2044, 1022, 2*w^3 + w^2 - 11*w - 6]', '[2044, 1022, -2*w^3 + w^2 + 14*w + 7]', '[2044, 1022, -2*w^3 + 3*w^2 + 3*w + 14]', '[2044, 1022, -5*w^3 + 14*w^2 + 16*w - 42]', '[2044, 1022, 7*w^2 - 13*w - 22]', '[2044, 1022, 3*w^3 - 11*w^2 - 3*w + 25]', '[2044, 1022, 5*w^2 - 6*w - 20]', '[2044, 1022, 5*w^3 - 17*w^2 - 5*w + 35]', '[2044, 1022, w^2 + 3*w - 14]', '[2044, 1022, -3*w^3 + 10*w^2 + 2*w - 14]', '[2044, 1022, -8*w^3 + w^2 + 50*w + 41]', '[2044, 1022, -4*w^3 - 3*w^2 + 27*w + 36]', '[2044, 1022, 5*w^3 - 14*w^2 - 10*w + 26]', '[2044, 1022, 3*w^3 + 2*w^2 - 16*w - 14]', '[2044, 1022, 7*w^2 - w - 28]', '[2044, 1022, -5*w^2 + 4*w + 21]', '[2044, 1022, -3*w^2 - 2*w + 5]', '[2044, 1022, -4*w^3 + 15*w^2 - w - 24]', '[2044, 1022, -3*w^3 + 8*w^2 + 6*w - 18]', '[2044, 1022, -4*w^3 + 11*w^2 + 12*w - 35]', '[2044, 1022, 2*w^3 - 7*w^2 - 3*w + 14]', '[2044, 1022, w^3 + 2*w^2 - 4*w - 14]', '[2048, 8, -4*w^3 + 12*w^2 + 16*w - 48]', '[2048, 8, -4*w^3 + 28*w + 24]', '[2048, 16, 4*w^2 - 8*w - 8]', '[2048, 16, -2*w^3 + 6*w^2 + 4*w - 20]', '[2048, 16, -2*w^3 + 10*w + 12]', '[2048, 16, 4*w^2 - 12]', '[2048, 32, -6*w^2 + 8*w + 20]', '[2048, 32, 3*w^3 - 3*w^2 - 14*w + 2]', '[2048, 32, 3*w^3 - 6*w^2 - 11*w + 12]', '[2048, 32, -6*w^2 + 4*w + 22]', '[2048, 64, -3*w^3 + 2*w^2 + 18*w + 12]', '[2048, 64, 3*w^3 - 7*w^2 - 13*w + 29]', '[2056, 514, -w^3 + 14*w^2 - 17*w - 44]', '[2056, 514, w^3 + 3*w^2 - 12*w - 12]', '[2056, 514, 3*w^3 - 9*w^2 - 12*w + 40]', '[2056, 514, -3*w^3 + 21*w + 22]', '[2056, 514, -w^3 + 6*w^2 + 3*w - 20]', '[2056, 514, 3*w^3 - w^2 - 14*w - 8]', '[2056, 1028, -w^3 + 4*w^2 - 16]', '[2056, 1028, 2*w^3 - 5*w^2 - 2*w + 2]', '[2056, 1028, -3*w^3 - 2*w^2 + 12*w + 8]', '[2056, 1028, 3*w^3 - 11*w^2 + w + 15]', '[2056, 1028, 2*w^3 - w^2 - 6*w + 3]', '[2056, 1028, -w^3 - w^2 + 5*w + 13]', '[2062, 2062, -3*w^3 + 5*w^2 + 11*w - 4]', '[2062, 2062, 4*w^3 - 25*w - 18]', '[2062, 2062, 4*w^3 - 12*w^2 - 13*w + 39]', '[2062, 2062, 3*w^3 - 4*w^2 - 12*w + 9]', '[2063, 2063, 2*w^3 - 5*w^2 - 5*w + 19]', '[2063, 2063, 2*w^3 - w^2 - 9*w - 11]', '[2066, 2066, w^3 + 4*w^2 - 8*w - 19]', '[2066, 2066, -5*w^3 + 16*w^2 + 14*w - 57]', '[2066, 2066, -2*w^3 - 6*w^2 + 9*w + 26]', '[2066, 2066, w^3 - 7*w^2 + 3*w + 22]', '[2081, 2081, -2*w^3 + 3*w^2 + 7*w - 13]', '[2081, 2081, 7*w^3 + 2*w^2 - 45*w - 43]', '[2081, 2081, 7*w^3 - 23*w^2 - 20*w + 79]', '[2081, 2081, 2*w^3 - 3*w^2 - 7*w - 5]', '[2084, 1042, 2*w^3 - 9*w^2 - 2*w + 25]', '[2084, 1042, 3*w^2 - 7*w - 8]', '[2084, 1042, 5*w^2 - 4*w - 20]', '[2084, 1042, -2*w^3 - 9*w^2 + 12*w + 40]', '[2084, 1042, -5*w^2 + 6*w + 19]', '[2084, 1042, 3*w^2 + w - 12]', '[2087, 2087, 3*w^3 - 2*w^2 - 15*w - 5]', '[2087, 2087, 10*w^3 + w^2 - 63*w - 55]', '[2087, 2087, 10*w^3 - 31*w^2 - 31*w + 107]', '[2087, 2087, 3*w^3 - 7*w^2 - 10*w + 19]', '[2089, 2089, 2*w^3 - 7*w^2 - 9*w + 37]', '[2089, 2089, 2*w^3 + w^2 - 17*w - 23]', '[2098, 2098, 7*w^3 + 2*w^2 - 44*w - 45]', '[2098, 2098, 3*w^3 + 3*w^2 - 21*w - 26]', '[2098, 2098, -2*w^3 + 8*w^2 - w - 20]', '[2098, 2098, 2*w^3 + 2*w^2 - 17*w - 23]', '[2098, 2098, -2*w^3 + 8*w^2 + 7*w - 36]', '[2098, 2098, 2*w^3 + 2*w^2 - 9*w - 15]', '[2098, 2098, 3*w^3 - 12*w^2 - 6*w + 41]', '[2098, 2098, -7*w^3 + 23*w^2 + 19*w - 80]', '[2104, 526, 3*w^3 - 17*w - 10]', '[2104, 526, 9*w^3 - 27*w^2 - 32*w + 104]', '[2104, 526, 9*w^3 - 59*w - 54]', '[2104, 526, 3*w^3 - 9*w^2 - 8*w + 24]', '[2104, 1052, -w^2 + 6*w - 6]', '[2104, 1052, -4*w^3 + 9*w^2 + 10*w - 10]', '[2104, 1052, 4*w^3 - 3*w^2 - 16*w + 5]', '[2104, 1052, -w^2 - 4*w - 1]', '[2111, 2111, -3*w^3 + 6*w^2 + 7*w - 11]', '[2111, 2111, -3*w^3 + 3*w^2 + 10*w + 1]', '[2113, 2113, -3*w^3 + 14*w^2 - 7*w - 23]', '[2113, 2113, w^2 - 3*w + 5]', '[2113, 2113, -w^2 - w - 3]', '[2113, 2113, w^3 - 4*w^2 - 7*w + 25]', '[2114, 2114, -2*w^3 - 4*w^2 + 11*w + 23]', '[2114, 2114, -w^3 + 4*w^2 - 6*w + 7]', '[2114, 2114, -5*w^3 - 2*w^2 + 32*w + 31]', '[2114, 2114, -5*w^3 - 2*w^2 + 24*w + 21]', '[2114, 2114, 5*w^3 - 17*w^2 - 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37]', '[3932, 1966, 4*w^3 - 11*w^2 - 11*w + 30]', '[3932, 1966, -4*w^3 + 11*w^2 + 14*w - 44]', '[3932, 1966, 3*w^3 - 9*w^2 - w + 5]', '[3932, 1966, -4*w^3 + w^2 + 24*w + 23]', '[3932, 1966, -4*w^3 + w^2 + 21*w + 12]', '[3932, 1966, 3*w^3 - 10*w + 2]', '[3934, 3934, 8*w^3 + 6*w^2 - 37*w - 35]', '[3934, 3934, -6*w^3 + 22*w^2 - w - 35]', '[3934, 3934, 4*w^3 - 19*w - 13]', '[3934, 3934, w^3 + 2*w^2 - 2*w - 1]', '[3934, 3934, w^3 - 5*w^2 + 5*w]', '[3934, 3934, -4*w^3 + 12*w^2 + 7*w - 28]', '[3934, 3934, -6*w^3 - 4*w^2 + 25*w + 20]', '[3934, 3934, 8*w^3 - 30*w^2 - w + 58]', '[3937, 3937, 3*w^3 - 19*w - 11]', '[3937, 3937, 11*w^3 + 5*w^2 - 60*w - 57]', '[3937, 3937, -2*w^3 + 5*w^2 + 13*w - 29]', '[3937, 3937, 6*w^2 - 23]', '[3937, 3937, -6*w^2 + 12*w + 17]', '[3937, 3937, -2*w^3 + w^2 + 17*w + 13]', '[3937, 3937, -11*w^3 + 38*w^2 + 17*w - 101]', '[3937, 3937, -3*w^3 + 9*w^2 + 10*w - 27]', '[3943, 3943, 5*w^2 - 7*w - 29]', '[3943, 3943, -5*w^3 - w^2 + 34*w + 37]', '[3943, 3943, 5*w^3 - 16*w^2 - 17*w + 65]', '[3943, 3943, 5*w^2 - 3*w - 31]', '[3964, 1982, w^2 + w + 4]', '[3964, 1982, -4*w^3 + 5*w^2 + 16*w + 3]', '[3964, 1982, -5*w^3 + 22*w + 10]', '[3964, 1982, -4*w^3 + 7*w^2 + 14*w - 20]', '[3964, 1982, w^2 - 3*w + 6]', '[3964, 1982, -5*w^3 + 15*w^2 + 7*w - 27]', '[3967, 3967, 9*w^3 + 4*w^2 - 61*w - 67]', '[3967, 3967, -9*w^3 + 31*w^2 + 26*w - 115]', '[3968, 124, 2*w^3 + 6*w^2 - 8*w - 24]', '[3968, 124, -2*w^3 - 4*w^2 + 14*w + 24]', '[3968, 124, 2*w^3 - 14*w - 4]', '[3968, 124, -2*w^3 + 6*w^2 + 4*w - 24]', '[3968, 124, -2*w^3 + 10*w + 16]', '[3968, 124, -2*w^3 + 6*w^2 + 8*w - 16]', '[3968, 124, 2*w^3 - 10*w^2 + 32]', '[3968, 124, 2*w^3 - 12*w^2 + 10*w + 24]', '[3968, 248, -2*w^3 - 2*w^2 + 18*w + 18]', '[3968, 248, 3*w^3 - 7*w^2 - 6*w + 2]', '[3968, 248, -w^3 + 6*w^2 + w - 16]', '[3968, 248, 4*w^3 - 10*w^2 - 12*w + 30]', '[3968, 248, 2*w^3 - 10*w^2 - 2*w + 34]', '[3968, 248, w^3 - 4*w^2 + 3*w - 2]', '[3968, 248, w^3 + 3*w^2 - 2*w - 10]', '[3968, 248, -4*w^3 - 2*w^2 + 20*w + 22]', '[3968, 248, -4*w^3 + 14*w^2 + 4*w - 36]', '[3968, 248, w^3 - 6*w^2 + 7*w + 8]', '[3968, 248, -w^3 - w^2 + 2*w - 2]', '[3968, 248, -2*w^3 - 4*w^2 + 16*w + 24]', '[3968, 248, 4*w^3 - 2*w^2 - 20*w - 12]', '[3968, 248, -3*w^3 + 2*w^2 + 11*w - 8]', '[3968, 248, w^3 + 3*w^2 - 10*w - 10]', '[3968, 248, -2*w^3 + 8*w^2 + 8*w - 32]', '[3968, 496, -3*w^3 + 7*w^2 + 5*w - 5]', '[3968, 496, 5*w^2 + 2*w - 13]', '[3968, 496, -w^3 + w^2 - w - 11]', '[3968, 496, 3*w^3 - 3*w^2 - 13*w + 1]', '[3968, 496, 3*w^3 - 6*w^2 - 10*w + 12]', '[3968, 496, -w^3 + 2*w^2 - 2*w + 12]', '[3968, 496, 5*w^2 - 12*w - 6]', '[3968, 496, -3*w^3 + 2*w^2 + 10*w - 4]', '[3969, 21, -6*w^2 + 6*w + 21]', '[3969, 21, 6*w^2 - 6*w - 27]', '[3969, 147, -3*w^3 + 6*w^2 + 9*w - 21]', '[3969, 147, -3*w^3 + 3*w^2 + 12*w + 9]', '[3976, 994, w^3 + 8*w^2 - 5*w - 32]', '[3976, 994, -5*w^3 + 17*w^2 + 8*w - 48]', '[3976, 994, -3*w^3 + 8*w^2 + 17*w - 42]', '[3976, 994, 9*w^3 - 31*w^2 - 26*w + 112]', '[3976, 994, -3*w^3 + 13*w^2 + 2*w - 40]', '[3976, 994, -3*w^3 - 6*w^2 + 13*w + 24]', '[3976, 994, -5*w^3 - 2*w^2 + 37*w + 42]', '[3976, 994, 7*w^3 - 23*w^2 - 20*w + 84]', '[3976, 1988, -w^3 - 5*w^2 + 9*w + 25]', '[3976, 1988, -3*w^3 + 10*w^2 + 4*w - 28]', '[3976, 1988, 3*w^3 - 10*w^2 - 12*w + 40]', '[3976, 1988, 2*w^3 - w^2 - 6*w + 7]', '[3976, 1988, 5*w^3 - 12*w^2 - 20*w + 48]', '[3976, 1988, -3*w^3 - 7*w^2 + 15*w + 35]', '[3976, 1988, 3*w^3 + w^2 - 15*w - 17]', '[3976, 1988, -w^3 + 8*w^2 - 4*w - 28]', '[3977, 3977, 4*w - 1]', '[3977, 3977, 8*w^3 - 25*w^2 - 21*w + 81]', '[3977, 3977, 8*w^3 + w^2 - 47*w - 43]', '[3977, 3977, 4*w - 3]', '[3983, 3983, 4*w^3 - 6*w^2 - 28*w - 5]', '[3983, 3983, -2*w^3 + 4*w^2 + 10*w - 5]', '[3983, 3983, 6*w^3 - 13*w^2 - 25*w + 35]', '[3983, 3983, 5*w^3 - 8*w^2 - 21*w + 21]', '[3986, 3986, -3*w^3 + 6*w^2 + 8*w - 9]', '[3986, 3986, -w^3 - 6*w^2 + 14*w + 31]', '[3986, 3986, 2*w^3 - 9*w + 2]', '[3986, 3986, -2*w^3 + 4*w^2 + 11*w - 10]', '[3998, 3998, 3*w^3 + w^2 - 15*w - 6]', '[3998, 3998, -4*w^3 + 16*w^2 - w - 37]', '[3998, 3998, -w^3 + 4*w^2 + 4*w - 5]', '[3998, 3998, 2*w^3 - 7*w - 10]', '[3998, 3998, -2*w^3 + 6*w^2 + w - 15]', '[3998, 3998, w^3 + w^2 - 9*w + 2]', '[3998, 3998, -4*w^3 - 4*w^2 + 19*w + 26]', '[3998, 3998, 3*w^3 - 10*w^2 - 4*w + 17]', '[4001, 4001, 7*w^3 + 3*w^2 - 50*w - 57]', '[4001, 4001, 7*w^2 - 5*w - 25]', '[4001, 4001, -2*w^3 + 12*w + 17]', '[4001, 4001, -7*w^3 + 24*w^2 + 23*w - 97]', '[4007, 4007, 5*w^3 - 27*w - 19]', '[4007, 4007, -5*w^3 + 15*w^2 + 12*w - 41]', '[4018, 574, 10*w^3 - 34*w^2 - 25*w + 112]', '[4018, 574, 18*w^3 - 58*w^2 - 55*w + 208]', '[4018, 574, -w^3 - w^2 + 9*w]', '[4018, 574, 2*w^3 - 8*w^2 - 3*w + 20]', '[4018, 574, 3*w^3 - 4*w^2 - 16*w + 1]', '[4018, 574, w^3 - 4*w^2 - 4*w + 7]', '[4018, 574, 5*w^3 - 2*w^2 - 36*w - 31]', '[4018, 574, 3*w^3 - 14*w^2 + 4*w + 35]', '[4018, 4018, 3*w^3 - 11*w^2 - 11*w + 42]', '[4018, 4018, 2*w^3 - 8*w^2 + 7*w]', '[4018, 4018, -4*w^3 + 8*w^2 + 13*w - 10]', '[4018, 4018, -10*w^3 + 36*w^2 + 7*w - 82]', '[4018, 4018, -2*w^3 + 10*w^2 + w - 35]', '[4018, 4018, -3*w^3 - 4*w^2 + 12*w + 21]', '[4018, 4018, -w^3 + 10*w - 9]', '[4018, 4018, w^3 + 6*w^2 - 6*w - 29]', '[4034, 4034, -w^3 - 4*w^2 + 14*w + 23]', '[4034, 4034, 3*w^3 - 10*w^2 - 6*w + 25]', '[4034, 4034, -3*w^3 - w^2 + 17*w + 12]', '[4034, 4034, -w^3 + 7*w^2 + 3*w - 32]', '[4036, 2018, -4*w^3 - w^2 + 28*w + 32]', '[4036, 2018, -2*w^3 - w^2 + 14*w + 9]', '[4036, 2018, 2*w^3 - 3*w^2 - 5*w + 12]', '[4036, 2018, -2*w^3 + 7*w^2 + 6*w - 20]', '[4036, 2018, 3*w^3 - 13*w^2 - 3*w + 39]', '[4036, 2018, -2*w^3 + 3*w^2 + 5*w + 6]', '[4039, 4039, -2*w^3 + 8*w^2 + 2*w - 15]', '[4039, 4039, -3*w^3 + 5*w^2 + 10*w - 5]', '[4039, 4039, 3*w^3 - 4*w^2 - 11*w + 7]', '[4039, 4039, -2*w^3 - 2*w^2 + 12*w + 7]', '[4046, 238, 3*w^3 - 3*w^2 - 11*w]', '[4046, 238, 3*w^3 - 3*w^2 - 13*w]', '[4046, 238, 2*w^3 + 4*w^2 - 19*w - 22]', '[4046, 238, 4*w^3 + 2*w^2 - 29*w - 26]', '[4046, 238, -4*w^3 + 14*w^2 + 13*w - 49]', '[4046, 238, -2*w^3 + 10*w^2 + 5*w - 35]', '[4046, 238, 3*w^3 - 6*w^2 - 8*w + 11]', '[4046, 238, 3*w^3 - 6*w^2 - 10*w + 13]', '[4049, 4049, 10*w^3 - 62*w - 55]', '[4049, 4049, -10*w^3 + 30*w^2 + 32*w - 107]', '[4057, 4057, -7*w^3 - 4*w^2 + 47*w + 57]', '[4057, 4057, 7*w^3 - 25*w^2 - 18*w + 93]', '[4064, 508, 12*w^3 - 36*w^2 - 46*w + 144]', '[4064, 508, 3*w^3 - 8*w^2 - 11*w + 22]', '[4064, 508, w^3 - 9*w^2 + 14*w + 10]', '[4064, 508, 6*w^3 - 18*w^2 - 22*w + 64]', '[4064, 508, 6*w^3 - 40*w - 30]', '[4064, 508, -3*w^3 + w^2 + 18*w + 6]', '[4064, 508, -w^3 - 6*w^2 + w + 16]', '[4064, 508, 12*w^3 - 82*w - 74]', '[4064, 1016, 5*w^3 - 18*w^2 - 10*w + 60]', '[4064, 1016, 2*w^3 - 5*w^2 - 4*w + 22]', '[4064, 1016, 2*w^3 - w^2 - 8*w - 15]', '[4064, 1016, 5*w^3 + 3*w^2 - 31*w - 37]', '[4073, 4073, 6*w^3 - 18*w^2 - 22*w + 73]', '[4073, 4073, 6*w^3 - 40*w - 39]', '[4078, 4078, -3*w^3 + 6*w^2 + 8*w - 17]', '[4078, 4078, -2*w^3 - 4*w^2 + 13*w + 27]', '[4078, 4078, 10*w^3 - 34*w^2 - 29*w + 125]', '[4078, 4078, 6*w^3 - 14*w^2 - 15*w + 13]', '[4078, 4078, 6*w^3 - 4*w^2 - 25*w + 10]', '[4078, 4078, -10*w^3 - 4*w^2 + 67*w + 72]', '[4078, 4078, -2*w^3 + 10*w^2 - w - 34]', '[4078, 4078, 3*w^3 - 3*w^2 - 11*w - 6]', '[4079, 4079, 2*w^3 + w^2 - 11*w - 17]', '[4079, 4079, -2*w^3 + 7*w^2 + 3*w - 25]', '[4088, 1022, -w^3 + 13*w + 16]', '[4088, 1022, -9*w^3 - 5*w^2 + 44*w + 40]', '[4088, 1022, -3*w^3 + 14*w^2 + 5*w - 56]', '[4088, 1022, -w^3 - 5*w^2 + 14*w + 28]', '[4088, 1022, 7*w^3 - 27*w^2 + 4*w + 44]', '[4088, 1022, -w^3 + 4*w^2 + 5*w - 8]', '[4088, 1022, w^3 + 4*w^2 - 11*w - 14]', '[4088, 1022, -3*w^3 + w^2 + 10*w]', '[4088, 1022, w^3 - 8*w^2 + 5*w + 30]', '[4088, 1022, -9*w^3 + w^2 + 54*w + 52]', '[4088, 1022, -w^3 - w^2 + 10*w]', '[4088, 1022, 7*w^3 + 6*w^2 - 29*w - 28]', '[4088, 1022, 5*w^3 - 6*w^2 - 21*w - 6]', '[4088, 1022, w^3 - w^2 - 6*w - 8]', '[4088, 1022, w^3 - 3*w^2 - 10*w + 28]', '[4088, 1022, -9*w^3 + 32*w^2 + 7*w - 70]', '[4088, 2044, 5*w^3 + 3*w^2 - 21*w - 15]', '[4088, 2044, 3*w^3 - 3*w^2 - 19*w + 7]', '[4088, 2044, 5*w^3 - 16*w^2 - 8*w + 40]', '[4088, 2044, -w^3 + 5*w^2 + 5*w - 21]', '[4088, 2044, -11*w^2 + 20*w + 33]', '[4088, 2044, 3*w^3 - 8*w^2 - 8*w + 28]', '[4088, 2044, 5*w^2 - 8*w - 11]', '[4088, 2044, -w^3 - 5*w^2 + 9*w + 21]', '[4088, 2044, -w^3 + 8*w^2 - 4*w - 24]', '[4088, 2044, -3*w^3 + 2*w^2 + 16*w]', '[4088, 2044, -3*w^3 + w^2 + 15*w + 15]', '[4088, 2044, 2*w^3 - w^2 - 14*w - 14]', '[4088, 2044, -6*w^3 + 3*w^2 + 34*w + 18]', '[4088, 2044, -5*w^3 - w^2 + 25*w + 21]', '[4088, 2044, 4*w^3 - w^2 - 18*w - 6]', '[4088, 2044, 5*w^3 - 18*w^2 + 28]', '[4096, 8, 8]', '[4096, 16, -4*w^3 + 4*w^2 + 16*w - 8]', '[4096, 16, -4*w^2 + 8]', '[4096, 16, -4*w^2 + 8*w + 4]', '[4096, 16, -4*w^3 + 8*w^2 + 12*w - 8]', '[4096, 32, 2*w^2 - 8*w + 4]', '[4096, 32, 6*w^3 + 6*w^2 - 28*w - 36]', '[4096, 32, -2*w^2 - 4*w + 2]', '[4096, 32, 6*w^3 - 24*w^2 + 2*w + 52]', '[4096, 64, w^3 + 2*w^2 - 6*w - 20]', '[4096, 64, -3*w^3 + 13*w^2 + 6*w - 46]', '[4096, 64, 2*w^3 + w^2 - 8*w - 13]', '[4096, 64, 3*w^3 + 4*w^2 - 23*w - 30]', '[4112, 514, -10*w^3 - 4*w^2 + 70*w + 74]', '[4112, 514, 4*w - 2]', '[4112, 514, -4*w^3 + 10*w^2 + 10*w - 18]', '[4112, 1028, 5*w^3 - 19*w^2 - 8*w + 62]', '[4112, 1028, -w^3 - 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50]', '[4132, 2066, w^3 + 2*w^2 - 10*w - 6]', '[4132, 2066, w^3 - 5*w^2 - 3*w + 13]', '[4132, 2066, 2*w^3 + 7*w^2 - 11*w - 34]', '[4132, 2066, 2*w^3 + 3*w^2 - 8*w - 8]', '[4151, 4151, 7*w^3 - 17*w^2 - 24*w + 63]', '[4151, 4151, -3*w^3 - 3*w^2 + 8*w + 5]', '[4151, 4151, 5*w^2 - 9*w - 21]', '[4151, 4151, w^3 - w^2 - 2*w + 9]', '[4151, 4151, w^3 - 2*w^2 - w - 7]', '[4151, 4151, 5*w^2 - w - 25]', '[4151, 4151, -3*w^3 + 12*w^2 - 7*w - 7]', '[4151, 4151, 7*w^3 - 4*w^2 - 37*w - 29]', '[4153, 4153, 2*w^3 - 10*w^2 + 31]', '[4153, 4153, -2*w^3 - 4*w^2 + 14*w + 23]', '[4159, 4159, 3*w^3 - 3*w^2 - 12*w - 1]', '[4159, 4159, -3*w^3 + 6*w^2 + 9*w - 13]', '[4162, 4162, -12*w^3 + 36*w^2 + 39*w - 130]', '[4162, 4162, 4*w^3 - 8*w^2 - 13*w + 5]', '[4162, 4162, -2*w^3 + 6*w^2 + 3*w - 19]', '[4162, 4162, -5*w^3 - w^2 + 35*w + 38]', '[4162, 4162, -6*w^3 + 33*w + 23]', '[4162, 4162, 2*w^3 - 9*w - 12]', '[4162, 4162, 4*w^3 - 4*w^2 - 17*w + 12]', '[4162, 4162, 2*w^3 - 2*w^2 - 5*w + 9]', '[4168, 1042, w^3 + 6*w^2 - 5*w - 22]', '[4168, 1042, -3*w^3 + w^2 + 22*w + 16]', '[4168, 1042, 5*w^3 + 4*w^2 - 31*w - 38]', '[4168, 1042, -7*w^3 + 25*w^2 + 20*w - 92]', '[4168, 2084, -2*w^3 - w^2 + 10*w + 15]', '[4168, 2084, 4*w^3 + 7*w^2 - 20*w - 37]', '[4168, 2084, -6*w^3 + 19*w^2 + 22*w - 74]', '[4168, 2084, 2*w^3 - 7*w^2 - 2*w + 22]', '[4174, 4174, -2*w^3 + 10*w^2 - 7*w - 17]', '[4174, 4174, 4*w^3 - 4*w^2 - 21*w - 5]', '[4174, 4174, -w^3 + 8*w^2 - 4*w - 33]', '[4174, 4174, 2*w^3 + 4*w^2 - 15*w - 23]', '[4174, 4174, -2*w^3 + 10*w^2 + w - 32]', '[4174, 4174, w^3 + 5*w^2 - 9*w - 30]', '[4174, 4174, 4*w^3 - 8*w^2 - 17*w + 26]', '[4174, 4174, -2*w^3 - 4*w^2 + 7*w + 16]', '[4177, 4177, 5*w^3 + w^2 - 30*w - 31]', '[4177, 4177, 5*w^3 - 16*w^2 - 13*w + 55]', '[4178, 4178, -6*w^2 + 5*w + 26]', '[4178, 4178, w^3 - 5*w^2 - 5*w + 18]', '[4178, 4178, -w^3 - 2*w^2 + 12*w + 9]', '[4178, 4178, 6*w^2 - 7*w - 25]', '[4193, 4193, -7*w^3 + 31*w + 11]', '[4193, 4193, -3*w^3 + 2*w^2 + 21*w + 15]', '[4193, 4193, -3*w^3 + 7*w^2 + 16*w - 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31]', '[4247, 4247, -w^3 - 5*w^2 + 12*w + 23]', '[4247, 4247, -w^3 + 3*w^2 + 2*w - 17]', '[4247, 4247, w^3 - 5*w - 13]', '[4247, 4247, -w^3 + 8*w^2 - w - 29]', '[4247, 4247, 4*w^3 - w^2 - 23*w - 11]', '[4247, 4247, 2*w^3 + 5*w^2 - 9*w - 17]', '[4247, 4247, -7*w^2 + w + 25]', '[4247, 4247, 7*w^3 - 23*w^2 - 10*w + 53]', '[4247, 4247, -w^3 + 5*w^2 + 6*w - 25]', '[4247, 4247, -2*w^3 + 10*w^2 - 37]', '[4249, 4249, 5*w^3 - 18*w^2 - 11*w + 63]', '[4249, 4249, 3*w^3 - 6*w^2 - 5*w - 7]', '[4249, 4249, 3*w^3 - 3*w^2 - 8*w + 15]', '[4249, 4249, 5*w^3 + 3*w^2 - 32*w - 39]', '[4252, 2126, -4*w^3 + 7*w^2 + 15*w - 20]', '[4252, 2126, 7*w^3 - 10*w^2 - 26*w + 34]', '[4252, 2126, -w^2 + 13]', '[4252, 2126, 3*w^3 + 7*w^2 - 15*w - 29]', '[4252, 2126, w^2 + 5*w + 2]', '[4252, 2126, -3*w^3 + 10*w^2 + 14*w - 46]', '[4252, 2126, 12*w^3 + w^2 - 76*w - 69]', '[4252, 2126, 6*w^3 - 17*w^2 - 19*w + 54]', '[4252, 2126, -4*w^3 + 9*w^2 + 12*w - 12]', '[4252, 2126, w^3 + w^2 - 9*w + 1]', '[4252, 2126, 4*w^3 - 5*w^2 - 17*w - 2]', '[4252, 2126, w^2 - 2*w - 12]', '[4271, 4271, 10*w^3 - w^2 - 65*w - 53]', '[4271, 4271, 2*w^3 + w^2 - 11*w - 23]', '[4271, 4271, -2*w^3 + 7*w^2 + 3*w - 31]', '[4271, 4271, 10*w^3 - 29*w^2 - 37*w + 109]', '[4273, 4273, -2*w^3 + 16*w + 19]', '[4273, 4273, -2*w^3 + 6*w^2 + 10*w - 33]', '[4286, 4286, -7*w^3 - 2*w^2 + 50*w + 53]', '[4286, 4286, 5*w^3 + 2*w^2 - 32*w - 37]', '[4286, 4286, 5*w^3 - 17*w^2 - 13*w + 62]', '[4286, 4286, -7*w^3 + 23*w^2 + 25*w - 94]', '[4289, 4289, 6*w^3 - 18*w^2 - 16*w + 57]', '[4289, 4289, 15*w^3 - 49*w^2 - 46*w + 177]', '[4297, 4297, 5*w^3 - 17*w^2 - 12*w + 53]', '[4297, 4297, 2*w^3 - 11*w^2 - 3*w + 43]', '[4297, 4297, -2*w^3 - 5*w^2 + 19*w + 31]', '[4297, 4297, 5*w^3 + 2*w^2 - 31*w - 29]', '[4306, 4306, 3*w^3 - 4*w^2 - 12*w + 3]', '[4306, 4306, -2*w^3 + 4*w^2 + 5*w + 3]', '[4306, 4306, -2*w^3 + 2*w^2 + 7*w - 10]', '[4306, 4306, -3*w^3 + 5*w^2 + 11*w - 10]', '[4319, 4319, 4*w^3 - 3*w^2 - 25*w - 11]', '[4319, 4319, 6*w^3 - 16*w^2 - 16*w + 35]', '[4319, 4319, 6*w^3 - 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105]', '[4354, 4354, w^3 - 4*w^2 - 8*w + 25]', '[4375, 35, 5*w^3 - 15*w^2 - 10*w + 35]', '[4375, 35, 5*w^3 - 25*w - 15]', '[4382, 4382, -7*w^3 + 25*w^2 - w - 38]', '[4382, 4382, w^3 - 12*w - 17]', '[4382, 4382, 9*w^3 - 30*w^2 - 10*w + 63]', '[4382, 4382, 4*w^3 - 10*w^2 - 13*w + 28]', '[4382, 4382, 4*w^3 - 2*w^2 - 21*w - 9]', '[4382, 4382, -4*w^3 + 12*w^2 + 7*w - 22]', '[4382, 4382, -w^3 + 3*w^2 + 9*w - 28]', '[4382, 4382, 2*w^3 - 4*w^2 - 3*w - 7]', '[4384, 548, 2*w^3 + 2*w^2 - 18*w - 24]', '[4384, 548, 3*w^3 - 4*w^2 - 11*w + 2]', '[4384, 548, -7*w^3 + 23*w^2 + 18*w - 78]', '[4384, 548, 2*w^3 + 4*w^2 - 16*w - 26]', '[4384, 548, 4*w^2 - 10*w - 6]', '[4384, 548, -2*w^3 + 6*w^2 + 2*w - 4]', '[4384, 548, -5*w^3 - 3*w^2 + 30*w + 30]', '[4384, 548, 3*w^3 + 4*w^2 - 27*w - 30]', '[4384, 548, 3*w^3 - 13*w^2 - 10*w + 50]', '[4384, 548, 5*w^3 - 18*w^2 - 9*w + 52]', '[4384, 548, -2*w^3 + 8*w - 2]', '[4384, 548, -4*w^2 - 2*w + 12]', '[4384, 548, -2*w^3 + 10*w^2 + 2*w - 36]', '[4384, 548, -3*w^3 + 5*w^2 + 10*w - 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9*w - 23]', '[4402, 4402, 2*w^3 + 4*w^2 - 11*w - 24]', '[4402, 4402, -4*w^3 + 17*w + 2]', '[4402, 4402, 2*w^3 - 2*w^2 - 13*w + 2]', '[4402, 4402, 2*w^3 - 2*w^2 - 11*w + 8]', '[4402, 4402, 4*w^3 + 4*w^2 - 25*w - 33]', '[4402, 4402, 4*w^3 - 10*w^2 - 21*w + 51]', '[4409, 4409, -2*w^2 + 19]', '[4409, 4409, 2*w^2 - 4*w - 17]', '[4412, 2206, 2*w^3 + 5*w^2 - 14*w - 29]', '[4412, 2206, 2*w^3 - 11*w^2 + 9*w + 16]', '[4412, 2206, 4*w^3 - 13*w^2 - 8*w + 40]', '[4412, 2206, 2*w^3 + 5*w^2 - 7*w - 16]', '[4412, 2206, 2*w^3 - 11*w^2 + 2*w + 36]', '[4412, 2206, -4*w^3 - w^2 + 22*w + 23]', '[4414, 4414, 8*w^2 - 5*w - 36]', '[4414, 4414, -2*w^3 + 4*w^2 + 11*w - 12]', '[4414, 4414, 2*w^3 - 2*w^2 - 13*w + 1]', '[4414, 4414, -8*w^2 + 11*w + 33]', '[4417, 4417, 4*w^3 - w^2 - 29*w - 23]', '[4417, 4417, -w^3 - w^2 + 4*w + 19]', '[4417, 4417, 8*w^2 - 16*w - 21]', '[4417, 4417, -4*w^3 + 15*w^2 + 11*w - 63]', '[4417, 4417, 4*w^3 + 3*w^2 - 29*w - 41]', '[4417, 4417, -8*w^2 + 29]', '[4417, 4417, 4*w^3 - 10*w^2 - 2*w - 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62*w - 65]', '[5086, 5086, 6*w^3 + 2*w^2 - 41*w - 47]', '[5087, 5087, -w^3 + 2*w^2 + 3*w - 13]', '[5087, 5087, w^3 - w^2 - 4*w - 9]', '[5102, 5102, -2*w^3 - 2*w^2 + 11*w + 19]', '[5102, 5102, -w^3 + 10*w^2 - 12*w - 23]', '[5102, 5102, -8*w^3 - 4*w^2 + 55*w + 60]', '[5102, 5102, -2*w^3 + 8*w^2 + w - 26]', '[5113, 5113, -3*w^3 + 12*w^2 + 5*w - 45]', '[5113, 5113, -3*w^3 - 3*w^2 + 20*w + 31]', '[5116, 2558, 2*w^3 + 9*w^2 - 12*w - 36]', '[5116, 2558, -4*w^3 + 15*w^2 + 2*w - 29]', '[5116, 2558, -2*w^3 + w^2 + 5*w + 8]', '[5116, 2558, -2*w^3 + 5*w^2 + w - 12]', '[5116, 2558, 4*w^3 + 3*w^2 - 20*w - 16]', '[5116, 2558, -2*w^3 + 15*w^2 - 12*w - 37]', '[5128, 1282, 3*w^3 - 8*w^2 - 5*w + 6]', '[5128, 1282, 3*w^3 - 5*w^2 - 10*w + 8]', '[5128, 1282, 3*w^3 - 4*w^2 - 11*w + 4]', '[5128, 1282, -3*w^3 + w^2 + 12*w - 4]', '[5128, 2564, -4*w^3 + 13*w^2 + 4*w - 31]', '[5128, 2564, 3*w^3 - 7*w^2 - 7*w + 3]', '[5128, 2564, -3*w^3 + 2*w^2 + 12*w - 8]', '[5128, 2564, -4*w^3 - w^2 + 18*w + 18]', '[5138, 5138, 2*w^3 - 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6*w - 31]', '[5183, 5183, w^3 + 3*w^2 - 2*w - 19]', '[5183, 5183, -w^3 + 6*w^2 - 7*w - 17]', '[5183, 5183, -w^3 - 6*w^2 + 9*w + 29]', '[5183, 5183, 10*w^3 - 33*w^2 - 25*w + 109]', '[5183, 5183, 3*w^3 - 2*w^2 - 21*w - 11]', '[5184, 12, 6*w^2 - 24]', '[5184, 12, -6*w^2 + 6*w + 24]', '[5184, 12, -6*w^2 + 12*w + 18]', '[5184, 24, -6*w^3 - 3*w^2 + 24*w + 18]', '[5184, 24, 3*w^3 + 3*w^2 - 18*w - 18]', '[5184, 24, -6*w^3 + 21*w^2 - 33]', '[5184, 24, -3*w^3 + 12*w^2 + 3*w - 30]', '[5188, 2594, -4*w^3 + 15*w^2 + 6*w - 48]', '[5188, 2594, -3*w^3 - 5*w^2 + 23*w + 39]', '[5188, 2594, 18*w^3 - 59*w^2 - 55*w + 216]', '[5188, 2594, 4*w^3 + 3*w^2 - 24*w - 31]', '[5188, 2594, 18*w^3 + 5*w^2 - 119*w - 120]', '[5188, 2594, -3*w^3 + 14*w^2 + 4*w - 54]', '[5201, 5201, -4*w^3 - w^2 + 29*w + 25]', '[5201, 5201, -w^3 + 4*w^2 + 5*w - 7]', '[5201, 5201, -w^3 - w^2 + 10*w - 1]', '[5201, 5201, 4*w^3 - 13*w^2 - 15*w + 49]', '[5207, 5207, 7*w^2 - 3*w - 33]', '[5207, 5207, -2*w^3 + 20*w + 23]', '[5207, 5207, -2*w^3 + 6*w^2 + 14*w - 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16]', '[5308, 2654, -16*w^3 - w^2 + 105*w + 96]', '[5308, 2654, -2*w^3 + 3*w^2 + 14*w + 1]', '[5308, 2654, -7*w^3 + 20*w^2 + 24*w - 66]', '[5308, 2654, 4*w^3 - 5*w^2 - 17*w + 10]', '[5308, 2654, w^3 + w^2 - 7*w - 17]', '[5308, 2654, -2*w^3 + 3*w^2 + 12*w + 4]', '[5314, 5314, w^3 - 6*w^2 + 6*w + 19]', '[5314, 5314, 5*w^3 - 40*w - 41]', '[5314, 5314, -3*w^3 - 3*w^2 + 17*w + 16]', '[5314, 5314, -4*w^3 + 12*w^2 + 11*w - 44]', '[5326, 5326, 4*w^3 + 2*w^2 - 29*w - 37]', '[5326, 5326, 11*w^3 + 2*w^2 - 74*w - 75]', '[5326, 5326, -11*w^3 + 35*w^2 + 37*w - 136]', '[5326, 5326, -4*w^3 + 14*w^2 + 13*w - 60]', '[5327, 5327, -w^3 + 5*w^2 - 8*w + 7]', '[5327, 5327, -3*w^3 + 9*w^2 + 2*w - 7]', '[5327, 5327, 3*w^3 - 11*w + 1]', '[5327, 5327, w^3 + 2*w^2 + w + 3]', '[5329, 73, -2*w^3 - 5*w^2 + 7*w + 19]', '[5329, 73, -4*w^3 + 2*w^2 + 20*w + 11]', '[5329, 73, 13*w^3 - 41*w^2 - 40*w + 149]', '[5329, 73, -7*w^2 + 7*w + 23]', '[5329, 73, 7*w^2 - 7*w - 33]', '[5329, 73, 4*w^3 - 10*w^2 - 12*w + 29]', '[5329, 5329, 6*w^3 - w^2 - 35*w - 25]', '[5329, 5329, -3*w^3 + 12*w^2 + 7*w - 39]', '[5329, 5329, 3*w^3 + 3*w^2 - 22*w - 23]', '[5329, 5329, -6*w^3 + 17*w^2 + 19*w - 55]', '[5342, 5342, -3*w^3 + 12*w^2 + 6*w - 37]', '[5342, 5342, -2*w^3 - 8*w^2 + 27*w + 41]', '[5342, 5342, 2*w^3 - 14*w^2 - 5*w + 58]', '[5342, 5342, -3*w^3 - 3*w^2 + 21*w + 22]', '[5344, 668, -2*w^3 + 6*w^2 + 6*w - 12]', '[5344, 668, 3*w^3 - 14*w^2 + w + 36]', '[5344, 668, -w^3 - 5*w^2 + 6*w + 26]', '[5344, 668, -4*w^3 + 4*w^2 + 14*w - 12]', '[5344, 668, -4*w^3 + 8*w^2 + 10*w - 2]', '[5344, 668, -w^3 + 8*w^2 - 7*w - 26]', '[5344, 668, -3*w^3 - 5*w^2 + 18*w + 26]', '[5344, 668, 2*w^3 - 12*w - 2]', '[5344, 1336, -3*w^2 + 2]', '[5344, 1336, 7*w^3 + 8*w^2 - 30*w - 40]', '[5344, 1336, 7*w^3 - 29*w^2 + 7*w + 55]', '[5344, 1336, -3*w^2 + 6*w - 1]', '[5348, 2674, -5*w^2 + 11*w + 8]', '[5348, 2674, 3*w^3 - 10*w^2 - 6*w + 34]', '[5348, 2674, 4*w^3 + 5*w^2 - 26*w - 39]', '[5348, 2674, -w^3 + 7*w^2 + 3*w - 23]', '[5348, 2674, -4*w^3 + w^2 + 27*w + 18]', '[5348, 2674, -3*w^3 - 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37*w - 35]', '[5614, 5614, -w^3 + 4*w^2 + 8*w - 7]', '[5614, 5614, -3*w^3 - 3*w^2 + 7*w + 6]', '[5614, 5614, -4*w^3 - 6*w^2 + 27*w + 46]', '[5614, 5614, 7*w^3 - 19*w^2 - 27*w + 70]', '[5614, 5614, 6*w^3 - 22*w^2 - 13*w + 70]', '[5614, 5614, w^3 + 4*w^2 - 14*w - 33]', '[5614, 5614, 4*w^3 + 6*w^2 - 19*w - 33]', '[5614, 5614, -4*w^3 + 18*w^2 - 5*w - 42]', '[5614, 5614, w^3 - 7*w^2 - 3*w + 42]', '[5614, 5614, 6*w^3 + 4*w^2 - 39*w - 41]', '[5614, 5614, -7*w^3 + 2*w^2 + 44*w + 31]', '[5614, 5614, -4*w^3 + 18*w^2 + 3*w - 63]', '[5614, 5614, 3*w^3 - 12*w^2 + 8*w + 7]', '[5614, 5614, -w^3 - w^2 + 13*w - 4]', '[5614, 5614, -8*w^3 + 28*w^2 + 5*w - 60]', '[5617, 5617, 6*w^3 - 42*w - 37]', '[5617, 5617, 7*w^3 - w^2 - 46*w - 39]', '[5617, 5617, 3*w^3 - 5*w^2 - 14*w + 5]', '[5617, 5617, -3*w^3 + 3*w^2 + 14*w - 9]', '[5617, 5617, -3*w^3 + 6*w^2 + 11*w - 5]', '[5617, 5617, 3*w^3 - 4*w^2 - 15*w + 11]', '[5617, 5617, 7*w^3 - 20*w^2 - 27*w + 79]', '[5617, 5617, 6*w^3 - 18*w^2 - 24*w + 73]', '[5623, 5623, 2*w^3 - 4*w^2 - 12*w + 3]', '[5623, 5623, 4*w^3 - 15*w^2 - 7*w + 51]', '[5623, 5623, 8*w^3 - 26*w^2 - 20*w + 81]', '[5623, 5623, 2*w^3 - 2*w^2 - 14*w + 11]', '[5641, 5641, 3*w^3 - 4*w^2 - 9*w + 11]', '[5641, 5641, 6*w^2 - 12*w - 19]', '[5641, 5641, 6*w^2 - 25]', '[5641, 5641, w^3 + 6*w^2 - 15*w - 33]', '[5647, 5647, 3*w^3 - 2*w^2 - 15*w - 15]', '[5647, 5647, -3*w^3 + 7*w^2 + 10*w - 29]', '[5648, 706, -4*w^3 + 16*w^2 + 8*w - 54]', '[5648, 706, -6*w^3 + 4*w^2 + 26*w - 6]', '[5648, 1412, 3*w^3 - 11*w^2 + 26]', '[5648, 1412, 5*w^3 + 5*w^2 - 23*w - 31]', '[5648, 1412, -2*w^3 - w^2 + 12*w + 2]', '[5648, 1412, -w^3 - 3*w^2 + 6]', '[5648, 1412, 5*w^3 + 4*w^2 - 31*w - 36]', '[5648, 1412, -3*w^3 - w^2 + 21*w + 15]', '[5648, 1412, 10*w^3 + 11*w^2 - 48*w - 62]', '[5648, 1412, w^3 - 4*w^2 + w + 20]', '[5657, 5657, 3*w^3 - w^2 - 16*w - 3]', '[5657, 5657, -3*w^3 + 8*w^2 + 9*w - 17]', '[5663, 5663, -2*w^3 + 7*w^2 + 5*w - 17]', '[5663, 5663, -5*w^3 + 4*w^2 + 25*w + 11]', '[5663, 5663, 5*w^3 - 11*w^2 - 18*w + 35]', '[5663, 5663, -2*w^3 - 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7]', '[9961, 9961, 3*w^3 - 7*w^2 - 4*w + 1]', '[9961, 9961, 2*w^3 + w^2 - 15*w - 23]', '[9967, 9967, 2*w^3 - 10*w^2 - 6*w + 45]', '[9967, 9967, 2*w^3 + 4*w^2 - 20*w - 31]', '[9986, 9986, -w^3 - 9*w^2 + 9*w + 38]', '[9986, 9986, 5*w - 2]', '[9986, 9986, 5*w - 3]', '[9986, 9986, w^3 - 12*w^2 + 12*w + 37]', '[9991, 9991, -3*w^3 - 2*w^2 + 11*w + 5]', '[9991, 9991, -4*w^3 + 10*w^2 + 12*w - 19]', '[9991, 9991, -4*w^3 + 2*w^2 + 20*w + 1]', '[9991, 9991, 13*w^3 + w^2 - 88*w - 81]', '[10000, 10, 10]', '[10000, 20, 5*w^3 - 5*w^2 - 20*w + 10]', '[10000, 20, 5*w^2 - 10]', '[10000, 20, 5*w^2 - 10*w - 5]', '[10000, 20, 5*w^3 - 10*w^2 - 15*w + 10]'], 'label': '4.4.16448.2', 'narrow_class_no': 1, 'primes': ['[2, 2, w^3 - 3*w^2 - 3*w + 10]', '[2, 2, w^3 - 6*w - 5]', '[7, 7, -w^3 + 3*w^2 + 2*w - 7]', '[7, 7, -w^3 + 5*w + 3]', '[31, 31, -w^3 + 2*w^2 + 3*w - 5]', '[31, 31, -w^2 - w + 1]', '[31, 31, -w^2 + 3*w - 1]', '[31, 31, -w^3 + w^2 + 4*w + 1]', '[41, 41, -w^3 + 3*w^2 + 2*w - 9]', '[41, 41, w^3 + w^2 - 8*w - 11]', '[47, 47, w^3 - w^2 - 4*w + 1]', '[47, 47, w^3 - 2*w^2 - 3*w + 3]', '[49, 7, 2*w^2 - 2*w - 9]', '[71, 71, 5*w^3 - 16*w^2 - 17*w + 61]', '[71, 71, -2*w^3 - 2*w^2 + 10*w + 13]', '[73, 73, 3*w^3 + w^2 - 18*w - 17]', '[73, 73, w^3 - 5*w - 1]', '[73, 73, w^3 - 7*w - 3]', '[73, 73, -3*w^3 + 10*w^2 + 7*w - 31]', '[81, 3, -3]', '[97, 97, w^3 - w^2 - 6*w - 3]', '[97, 97, -w^3 + 2*w^2 + 5*w - 9]', '[103, 103, -3*w^2 + w + 11]', '[103, 103, -3*w^2 + 5*w + 9]', '[121, 11, w^2 + w - 3]', '[121, 11, -w^2 + 3*w + 1]', '[127, 127, w^3 - 5*w^2 + 17]', '[127, 127, -w^3 - 2*w^2 + 7*w + 13]', '[137, 137, w^3 - 5*w^2 + 2*w + 13]', '[137, 137, 2*w^3 - 5*w^2 - 7*w + 15]', '[137, 137, 2*w^3 - w^2 - 11*w - 5]', '[137, 137, -w^3 - 2*w^2 + 5*w + 11]', '[151, 151, -4*w^3 - w^2 + 25*w + 25]', '[151, 151, 4*w^3 - 13*w^2 - 11*w + 45]', '[167, 167, -2*w^3 - w^2 + 15*w + 17]', '[167, 167, -2*w^3 + 7*w^2 + 7*w - 29]', '[169, 13, -w^3 - w^2 + 6*w + 5]', '[169, 13, w^3 - 4*w^2 - w + 9]', '[191, 191, w^3 - 2*w^2 - 3*w + 9]', '[191, 191, w^3 - w^2 - 4*w - 5]', '[193, 193, -4*w^2 + 2*w + 17]', '[193, 193, w^2 + w - 5]', '[193, 193, w^2 - 3*w - 3]', '[193, 193, -4*w^2 + 6*w + 15]', '[233, 233, -3*w^3 + 10*w^2 + 11*w - 41]', '[233, 233, -3*w^3 - w^2 + 22*w + 23]', '[239, 239, 2*w^2 - 4*w - 3]', '[239, 239, w^3 + 2*w^2 - 7*w - 11]', '[239, 239, -w^3 + 5*w^2 - 15]', '[239, 239, 2*w^2 - 5]', '[257, 257, -5*w^3 - 2*w^2 + 35*w + 37]', '[257, 257, 2*w - 1]', '[257, 257, -2*w^3 + 5*w^2 + 5*w - 9]', '[263, 263, 2*w^2 - 11]', '[263, 263, 2*w^2 - 4*w - 9]', '[271, 271, -w^3 + w^2 + 4*w - 5]', '[271, 271, w^3 - 2*w^2 - 3*w - 1]', '[281, 281, 2*w^3 + 2*w^2 - 12*w - 15]', '[281, 281, 2*w^3 - 8*w^2 - 2*w + 23]', '[289, 17, 3*w^2 - 3*w - 11]', '[289, 17, 3*w^2 - 3*w - 13]', '[311, 311, 5*w^2 - w - 19]', '[311, 311, -w^3 + 2*w^2 + 5*w - 11]', '[313, 313, 2*w^3 - 5*w^2 - 11*w + 25]', '[313, 313, -2*w^3 + 8*w^2 + 4*w - 29]', '[337, 337, -2*w^3 + 5*w^2 + 5*w - 13]', '[337, 337, 2*w^3 - w^2 - 9*w - 5]', '[353, 353, -2*w^3 + 8*w^2 + 4*w - 27]', '[353, 353, -3*w^3 + 2*w^2 + 13*w - 3]', '[359, 359, 4*w^3 + w^2 - 25*w - 23]', '[359, 359, 4*w^3 - 13*w^2 - 11*w + 43]', '[367, 367, 6*w^3 - 18*w^2 - 22*w + 71]', '[367, 367, -2*w^3 + 5*w^2 + 3*w - 3]', '[383, 383, w^3 - 9*w - 11]', '[383, 383, 3*w^3 - 17*w - 13]', '[401, 401, 5*w^3 + w^2 - 30*w - 29]', '[401, 401, -5*w^3 - 2*w^2 + 35*w + 39]', '[401, 401, -5*w^3 + 17*w^2 + 16*w - 67]', '[401, 401, -5*w^3 + 16*w^2 + 13*w - 53]', '[409, 409, w^3 + w^2 - 6*w - 11]', '[409, 409, -w^3 + 4*w^2 + w - 15]', '[431, 431, w^3 - 6*w^2 + w + 17]', '[431, 431, w^3 + 3*w^2 - 8*w - 13]', '[433, 433, -8*w^3 + 25*w^2 + 25*w - 89]', '[433, 433, w^3 - 5*w^2 + 19]', '[433, 433, w^3 + 2*w^2 - 7*w - 15]', '[433, 433, 8*w^3 + w^2 - 51*w - 47]', '[439, 439, 4*w^2 - 2*w - 19]', '[439, 439, -4*w^2 + 6*w + 17]', '[449, 449, w^3 - 2*w^2 - 5*w + 1]', '[449, 449, -w^3 + w^2 + 6*w - 5]', '[463, 463, -4*w^3 - w^2 + 29*w + 31]', '[463, 463, 4*w^3 - 13*w^2 - 15*w + 55]', '[487, 487, -3*w^2 + 5*w + 13]', '[487, 487, -3*w^2 + w + 15]', '[521, 521, -2*w^3 + 4*w^2 + 6*w - 5]', '[521, 521, 2*w^3 - 2*w^2 - 8*w + 3]', '[529, 23, -w^2 + w - 1]', '[529, 23, w^2 - w - 9]', '[569, 569, 11*w^3 + 2*w^2 - 71*w - 67]', '[569, 569, w^3 + 4*w^2 - 9*w - 25]', '[577, 577, 5*w^3 + 2*w^2 - 33*w - 33]', '[577, 577, 5*w^3 - 17*w^2 - 14*w + 59]', '[593, 593, 2*w^3 - w^2 - 9*w - 3]', '[593, 593, -w^3 - w^2 + 10*w + 15]', '[593, 593, w^3 - 4*w^2 - 5*w + 23]', '[593, 593, -2*w^3 + 5*w^2 + 5*w - 11]', '[599, 599, -2*w^3 + 2*w^2 + 8*w + 5]', '[599, 599, -2*w^3 + 4*w^2 + 6*w - 13]', '[601, 601, 5*w^3 + w^2 - 32*w - 33]', '[601, 601, 4*w^2 - 8*w - 11]', '[607, 607, -2*w^3 + 3*w^2 + 9*w - 9]', '[607, 607, 2*w^3 - 3*w^2 - 9*w + 1]', '[617, 617, w^3 + w^2 - 6*w - 13]', '[617, 617, -w^3 + 4*w^2 + w - 17]', '[625, 5, -5]', '[631, 631, 3*w^3 - 5*w^2 - 12*w + 5]', '[631, 631, w^3 + 3*w^2 - 10*w - 17]', '[631, 631, -w^3 + 6*w^2 + w - 23]', '[631, 631, 8*w^3 + 3*w^2 - 55*w - 59]', '[641, 641, -2*w^3 + 14*w + 15]', '[641, 641, 2*w^3 - 6*w^2 - 8*w + 27]', '[743, 743, 4*w^3 - w^2 - 25*w - 19]', '[743, 743, 4*w^3 - 11*w^2 - 15*w + 41]', '[751, 751, 2*w^2 - 4*w - 11]', '[751, 751, 2*w^2 - 13]', '[761, 761, -2*w^3 + 2*w^2 + 8*w + 1]', '[761, 761, -2*w^3 + 4*w^2 + 6*w - 9]', '[809, 809, 5*w^3 + w^2 - 32*w - 29]', '[809, 809, 5*w^3 - 16*w^2 - 15*w + 55]', '[839, 839, -7*w^2 + 3*w + 31]', '[839, 839, -2*w^2 + 15]', '[839, 839, -2*w^2 + 4*w + 13]', '[839, 839, 7*w^2 - 11*w - 27]', '[841, 29, -5*w^3 - 2*w^2 + 31*w + 33]', '[841, 29, 3*w^3 - 17*w - 11]', '[857, 857, -5*w^2 + 7*w + 17]', '[857, 857, 3*w^3 - 4*w^2 - 13*w - 3]', '[881, 881, -w^3 + 4*w^2 + 3*w - 11]', '[881, 881, w^3 + w^2 - 8*w - 5]', '[887, 887, 6*w^3 - 20*w^2 - 16*w + 67]', '[887, 887, -2*w^3 + 5*w^2 + 9*w - 13]', '[887, 887, 2*w^3 - w^2 - 13*w - 1]', '[887, 887, 6*w^3 + 2*w^2 - 38*w - 37]', '[919, 919, 2*w^3 + 4*w^2 - 8*w - 15]', '[919, 919, -9*w^3 + 30*w^2 + 27*w - 109]', '[937, 937, -7*w^3 + 24*w^2 + 19*w - 87]', '[937, 937, -7*w^3 - 3*w^2 + 46*w + 51]', '[953, 953, -7*w^2 + 3*w + 29]', '[953, 953, -3*w^3 + 7*w^2 + 12*w - 25]', '[967, 967, w^3 + 4*w^2 - 7*w - 17]', '[967, 967, w^3 - 9*w^2 + 8*w + 25]', '[967, 967, w^3 + 6*w^2 - 7*w - 25]', '[967, 967, w^3 - 7*w^2 + 4*w + 19]', '[977, 977, -w^3 - 2*w^2 + 7*w + 19]', '[977, 977, -w^3 + 5*w^2 - 23]', '[983, 983, -w^3 + 2*w^2 + 7*w - 11]', '[983, 983, w^3 - w^2 - 8*w - 3]', '[991, 991, w^3 + 3*w^2 - 8*w - 15]', '[991, 991, -w^3 + 6*w^2 - 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': [14, 8, -7, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 16448, 'disc_rad': 514, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[2, 2]]], [19, [[4, 1]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[1, 4]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[4, 1]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 45.34313619501854, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '4.4.16448.2', 'local_algs': ['2.2.3.1', '2.2.3.1', 'm257.1.1.0', 'm257.1.1.0', 'm257.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 257], 'rd': 11.3247408948, 'regulator': {'__RealLiteral__': 0, 'data': '15.0596746811', 'prec': 44}, 'res': {'gal': ['484,0,-1132,0,397,0,-42,0,1'], 'sib': ['8,0,-17,0,1', '484,0,-1132,0,397,0,-42,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - a - 5 \\)', '\\( a^{3} - 2 a^{2} - 3 a + 1 \\)', '\\( 2 a^{3} + a^{2} - 11 a - 11 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}