Hilbert modular form data - 4.4.14272.1-13.2-a

Formats: - HTML - YAML - JSON - 2026-03-18T10:59:32.615703

• 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': 14272, 'field_bad_primes': [2, 223], 'field_label': '4.4.14272.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.14272.1-13.2-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [13], 'level_ideal': '[13, 13, -w + 2]', 'level_label': '13.2', 'level_norm': 13, 'parallel_weight': 2, 'short_label': '13.2-a', 'weight': '[2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[13, 13, -w + 2]', 1]], 'hecke_eigenvalues': ['e', '-2*e^2 - 2*e + 3', '2*e^2 + 6*e - 2', '-e^2 - e + 6', -1, 'e^2 + 4*e', '2*e^2 + e - 2', '3*e^2 + 5*e - 6', '-2*e^2 - 2*e + 1', '-3*e^2 + 6', '2*e^2 + 8*e + 1', '-2*e^2 - 7*e', '-6*e - 4', '4*e^2 + 2*e - 11', '-e^2 - e + 10', '-4*e^2 - 10*e + 4', '-6*e^2 - 10*e + 7', '3*e + 8', '-5*e^2 + 10', '-2*e + 8', '-4*e^2 + 7', '2*e^2 + 4*e + 10', '6*e^2 - 10', '-2*e^2 - 4*e + 6', '-12*e^2 - 24*e + 8', '-4*e^2 + 4*e + 16', '-e^2 + e - 6', 'e^2 + 6*e', '2*e - 4', '2*e^2 - 4*e - 12', '7*e^2 + 17*e - 2', '-4*e - 2', '4*e^2 + 22*e + 5', '-4*e^2 - 12*e - 4', '-2*e^2 + 7*e + 4', '-11*e^2 - 24*e + 8', '-6*e^2 - 10*e + 2', '12*e^2 + 22*e - 1', '-5*e^2 - 10*e - 6', 'e^2 + 13*e + 12', '-8*e^2 - 12*e + 12', '-4*e^2 - 4*e + 14', '9*e^2 + 22*e + 6', '-2*e^2 + 6*e + 1', '6*e^2 + 16*e - 6', '13*e^2 + 23*e - 14', '12*e^2 + 16*e + 2', '5*e + 4', '-12*e^2 - 18*e + 8', '18*e^2 + 28*e - 4', '-6*e^2 - 5*e + 10', '-12*e^2 - 18*e + 24', '2*e^2 + 12*e + 10', '2*e^2 + 12*e - 12', '-12*e^2 - 20*e + 18', '-6*e^2 - 10*e + 5', '12*e + 12', '-3*e^2 - 12*e + 16', '-19*e^2 - 23*e + 18', 'e^2 + 9*e - 10', '6*e^2 + 12*e - 4', '2*e^2 - 10*e - 2', '-20*e^2 - 21*e + 22', '-11*e^2 - 7*e + 18', '-6*e^2 - 18*e + 14', '11*e^2 - 5*e - 40', '-10*e^2 - 14*e + 24', '-14*e^2 - 30*e - 2', '4*e^2 + 8*e - 22', '8*e^2 + 26*e + 4', '16*e^2 + 20*e - 4', '6*e^2 + 10*e', '18*e^2 + 30*e - 10', '-6*e^2 - 14*e - 4', '-16*e^2 - 13*e + 34', '26*e^2 + 36*e - 15', '20*e^2 + 24*e - 24', '17*e^2 + 31*e - 18', '16*e^2 + 12*e - 22', '-26*e^2 - 44*e + 20', '-6*e^2 - 8*e + 28', '2*e^2 - 12', '4*e^2 + 22*e + 16', '-16*e^2 - 16*e + 18', '18*e^2 + 33*e - 24', '14*e^2 + 9*e - 32', '27*e^2 + 44*e - 18', '-e^2 - 16*e + 6', 'e^2 - e + 26', '24*e^2 + 36*e - 31', '4*e^2 + 14*e - 18', '-4*e^2 + 2*e + 4', '-10*e^2 - 18*e + 18', '-7*e^2 - 20*e - 8', '-11*e^2 - 23*e + 14', '-2*e^2 + 36', '-2*e^2 + 2*e + 24', '10*e^2 + 16*e - 8', '12*e^2 + 14*e - 18', '-4*e^2 + 8*e + 4', '-4*e^2 + 5*e - 12', '-16*e^2 - 22*e + 14', '12*e^2 + 30*e - 6', '-16*e^2 - 41*e - 2', '-6*e^2 - 2*e + 22', '-2*e^2 - 14*e - 20', '-14*e^2 - 12*e + 16', '15*e^2 + 18*e - 16', '-8*e^2 + 2*e - 2', '-9*e^2 - 14*e - 6', '-8*e^2 - 2*e + 27', '-8*e^2 - 18*e + 14', '-18*e^2 - 12*e + 44', '-10*e^2 - 6*e - 10', '6*e^2 - 4*e - 6', '-8*e^2 - 15*e + 10', '-e^2 + 3*e - 8', '8*e^2 + 6*e', '-3*e^2 - 24*e - 26', '-10*e^2 - 23*e - 12', '-12*e^2 + 10*e + 50', '-8*e^2 - 4*e - 14', '9*e^2 - 2*e - 46', '14*e^2 + 18*e + 4', '-17*e^2 - 34*e + 36', '16*e^2 + 21*e + 8', '-19*e^2 - 13*e + 18', '5*e^2 + 24*e - 10', '10*e^2 + 12*e - 42', '-20*e^2 - 55*e + 10', '12*e^2 + 24*e - 41', '6*e^2 - 6*e - 13', '24*e^2 + 45*e - 22', '-19*e^2 - 21*e + 26', '-24*e^2 - 44*e + 30', '-20*e^2 - 26*e + 24', '24*e^2 + 20*e - 38', '16*e^2 + 4*e - 48', '4*e^2 + 2*e + 2', '-21*e^2 - 42*e + 18', '10*e^2 + 22*e + 8', '-14*e^2 - 28*e + 28', '-32*e^2 - 44*e + 35', '22*e^2 + 46*e - 34', '-7*e^2 + 14*e + 24', '28*e^2 + 40*e - 32', '14*e^2 + 7*e - 24', '-4*e^2 - 23*e - 22', '2*e^2 + 24*e + 26', '22*e^2 + 12*e - 29', '-6*e^2 - 16*e - 22', '8*e^2 + 8*e - 38', '-2*e^2 + 2*e + 45', '-28*e^2 - 38*e + 24', '-33*e^2 - 48*e + 32', 'e^2 + 18', '-20*e^2 - 2*e + 48', '4*e^2 + 26*e', '12*e^2 - 8*e - 30', '26*e^2 + 16*e - 58', '-7*e^2 - 33*e + 8', '-18*e^2 - 50*e + 7', '-6*e^2 + 2*e + 20', '-20*e^2 - 58*e + 8', '22*e^2 + 60*e - 30', '14*e^2 - 4*e - 34', '12*e^2 - 6*e - 30', '-4*e^2 - 8*e - 46', '-e^2 + e - 12', '-25*e^2 - 21*e + 40', '-14*e^2 + 8*e + 42', '-2*e^2 + 10*e - 11', '6*e^2 - 4*e + 1', '7*e^2 + 18*e + 2', '14*e^2 + 28*e - 38', '-26*e^2 - 52*e - 2'], 'hecke_polynomial': 'x^3 + 2*x^2 - x - 1', 'label': '4.4.14272.1-13.2-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 14272, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[4, 2, -w^3 + 3*w^2 + w - 2]', '[9, 9, w^2 - 2*w - 3]', '[11, 11, -w^3 + 3*w^2 + 2*w - 5]', '[12, 6, w^3 - 3*w^2 - 3*w + 6]', '[13, 13, w^3 - 2*w^2 - 4*w + 2]', '[13, 13, -w + 2]', '[16, 2, 2]', '[17, 17, w^3 - 3*w^2 - 2*w + 2]', '[19, 19, -w^2 + w + 4]', '[19, 19, w^3 - 2*w^2 - 3*w + 2]', '[23, 23, w^2 - 2*w - 1]', '[27, 3, w^3 - 2*w^2 - 5*w - 1]', '[27, 27, w^3 - 2*w^2 - 3*w]', '[29, 29, -w^3 + 2*w^2 + 5*w - 1]', '[33, 33, w^3 - 3*w^2 - 3*w + 3]', '[36, 18, -w^3 + 2*w^2 + 4*w - 3]', '[37, 37, -w^3 + 2*w^2 + 5*w - 4]', '[39, 39, -w^2 + 2*w]', '[39, 39, w^2 - 3]', '[41, 41, 2*w^3 - 5*w^2 - 6*w + 4]', '[44, 22, w^3 - 2*w^2 - 2*w + 1]', '[48, 6, 2*w]', '[51, 51, -w^3 + 3*w^2 - 3]', '[52, 26, -w^3 + 3*w^2 + w - 4]', '[52, 26, -2*w^3 + 5*w^2 + 7*w - 5]', '[53, 53, w^3 - 2*w^2 - 3*w - 2]', '[57, 57, -2*w^3 + 5*w^2 + 6*w - 6]', '[57, 57, -w^2 + 2*w + 6]', '[59, 59, w - 4]', '[64, 4, -2*w^3 + 6*w^2 + 2*w - 4]', '[67, 67, 2*w^2 - 3*w - 8]', '[68, 34, w^2 - w - 5]', '[69, 69, w^3 - 2*w^2 - w]', '[73, 73, 2*w^3 - 5*w^2 - 6*w + 5]', '[76, 38, -w^3 + 3*w^2 + 3*w - 2]', '[76, 38, w^3 - 4*w^2 + 7]', '[81, 3, 3]', '[81, 81, w^3 - 3*w^2]', '[87, 87, 2*w^3 - 6*w^2 - 4*w + 9]', '[89, 89, -2*w^3 + 6*w^2 + 5*w - 7]', '[92, 46, -3*w^3 + 10*w^2 - 7]', '[97, 97, -2*w^3 + 6*w^2 + 3*w - 7]', '[97, 97, -w^3 + 3*w^2 + 3*w - 1]', '[99, 99, -w^2 + w + 6]', '[103, 103, w^2 - 4*w - 4]', '[108, 6, w^3 - 2*w^2 - 2*w - 1]', '[108, 54, -w^3 + 4*w^2 - 9]', '[111, 111, -2*w + 3]', '[113, 113, 2*w^3 - 5*w^2 - 4*w + 1]', '[113, 113, -w^3 + 3*w^2 + w - 5]', '[116, 58, w^3 - 4*w^2 + 5]', '[117, 117, -w^3 + 4*w^2 - w - 6]', '[117, 117, 2*w^3 - 5*w^2 - 5*w + 6]', '[121, 121, 2*w^2 - 4*w - 5]', '[123, 123, -w^3 + 4*w^2 - 6]', '[132, 66, -w^3 + 2*w^2 + 4*w + 3]', '[139, 139, 2*w^2 - 3*w - 4]', '[139, 139, w^3 - w^2 - 6*w - 1]', '[143, 143, w^2 - 4]', '[143, 143, 2*w^3 - 5*w^2 - 6*w + 2]', '[144, 18, 2*w^2 - 4*w - 6]', '[148, 74, 4*w^3 - 13*w^2 - 3*w + 11]', '[149, 149, 2*w^3 - 5*w^2 - 5*w + 2]', '[149, 149, w^3 - 4*w^2 + 10]', '[151, 151, -3*w - 1]', '[153, 153, 2*w^3 - 5*w^2 - 8*w + 6]', '[156, 78, w^3 - 3*w^2 - w + 6]', '[156, 78, -w^3 + w^2 + 7*w]', '[157, 157, w^2 - w - 8]', '[157, 157, w^3 - 7*w - 8]', '[159, 159, 2*w^2 - 4*w - 3]', '[163, 163, -3*w^3 + 8*w^2 + 8*w - 10]', '[163, 163, w^3 - 3*w^2 - 4*w + 7]', '[163, 163, -w^3 + 4*w^2 + w - 8]', '[163, 163, -2*w^3 + 5*w^2 + 7*w - 4]', '[164, 82, -w^3 + 4*w^2 - 2*w - 5]', '[167, 167, -2*w^3 + 5*w^2 + 8*w - 4]', '[169, 13, 2*w^3 - 5*w^2 - 8*w + 7]', '[169, 13, -2*w^3 + 4*w^2 + 7*w - 5]', '[169, 169, w^3 - 3*w^2 + 4]', '[169, 169, w^3 - w^2 - 5*w - 5]', '[171, 171, w^3 - 4*w^2 - 2*w + 6]', '[171, 171, -w^3 + 2*w^2 + 6*w]', '[173, 173, 2*w^3 - 4*w^2 - 9*w + 4]', '[173, 173, -w^3 + 5*w^2 - 2*w - 5]', '[176, 22, -2*w^3 + 6*w^2 + 4*w - 10]', '[177, 177, w^2 - 4*w]', '[181, 181, 3*w^3 - 7*w^2 - 12*w + 7]', '[187, 187, -w^3 + 2*w^2 + 6*w - 4]', '[191, 191, w^3 - 3*w^2 - 3*w - 1]', '[192, 12, 2*w^3 - 6*w^2 - 6*w + 12]', '[199, 199, 2*w^3 - 3*w^2 - 10*w - 1]', '[199, 199, 2*w^3 - 6*w^2 - 6*w + 13]', '[201, 201, 2*w^3 - 3*w^2 - 8*w]', '[204, 102, w^3 - w^2 - 5*w]', '[207, 207, -2*w^3 + 5*w^2 + 6*w]', '[208, 26, 2*w^3 - 4*w^2 - 8*w + 4]', '[208, 26, -2*w + 4]', '[209, 209, -2*w^2 + 5*w + 7]', '[209, 209, w^2 - 4*w - 1]', '[212, 106, 4*w^3 - 13*w^2 - 3*w + 7]', '[219, 219, -w^3 + 4*w^2 + w - 6]', '[221, 221, w^3 - 4*w^2 - w + 7]', '[221, 221, 2*w^2 - 3*w - 2]', '[223, 223, -2*w^3 + 6*w^2 + 4*w - 11]', '[223, 223, 3*w^3 - 7*w^2 - 12*w + 8]', '[223, 223, -2*w^3 + 5*w^2 + 6*w - 1]', '[228, 114, w^3 - w^2 - 5*w - 6]', '[228, 114, -2*w^3 + 5*w^2 + 5*w - 3]', '[229, 229, -w^3 + 3*w^2 + 2*w + 1]', '[229, 229, 3*w^3 - 4*w^2 - 15*w - 5]', '[233, 233, -3*w^3 + 7*w^2 + 11*w - 5]', '[233, 233, 2*w^3 - 5*w^2 - 4*w + 5]', '[236, 118, 5*w^3 - 16*w^2 - 4*w + 11]', '[241, 241, w^3 - 3*w^2 - 5*w + 7]', '[243, 9, -3*w^3 + 3*w^2 + 18*w + 9]', '[243, 243, 4*w^3 - 10*w^2 - 13*w + 12]', '[247, 247, w^3 - 3*w^2 - 2*w + 8]', '[247, 247, -3*w + 1]', '[247, 247, 2*w^3 - 6*w^2 - 6*w + 7]', '[247, 247, 2*w^2 - 3*w - 5]', '[253, 253, -2*w^3 + 5*w^2 + 5*w - 4]', '[256, 4, 4]', '[257, 257, w^3 - 3*w^2 - 4*w + 8]', '[261, 261, -2*w^3 + 6*w^2 + 5*w - 6]', '[263, 263, w^2 - 4*w - 5]', '[267, 267, -w^3 + 3*w^2 + 4*w - 9]', '[268, 134, w^3 - 2*w^2 - 6*w + 1]', '[271, 271, -2*w^3 + 6*w^2 + 5*w - 13]', '[272, 34, 2*w^3 - 6*w^2 - 4*w + 4]', '[276, 138, w^3 - 2*w^2 - 6*w + 3]', '[277, 277, -2*w^3 + 6*w^2 + 3*w - 8]', '[277, 277, w^3 - 2*w^2 - 2*w - 2]', '[281, 281, 2*w^3 - 5*w^2 - 4*w + 2]', '[283, 283, -3*w^2 + 7*w + 10]', '[283, 283, -w^3 + 4*w^2 - w - 7]', '[289, 289, -2*w^3 + 6*w^2 + 7*w - 11]', '[291, 291, 2*w^3 - 7*w^2 - 3*w + 6]', '[291, 291, w^3 - 2*w^2 + w + 3]', '[292, 146, w^3 - 4*w^2 + 2*w - 1]', '[293, 293, 2*w^3 - 5*w^2 - 3*w + 4]', '[293, 293, w^3 - 8*w - 4]', '[297, 33, -2*w^3 + 4*w^2 + 10*w - 1]', '[297, 297, -w^3 + w^2 + 6*w]', '[299, 299, w + 4]', '[299, 299, -w^3 + 4*w^2 - 3*w - 2]', '[304, 38, -2*w^2 + 2*w + 8]', '[304, 38, 2*w^3 - 4*w^2 - 6*w + 4]', '[307, 307, -w^3 + 2*w^2 + 6*w - 2]', '[309, 309, w^3 - 4*w^2 - 4*w]', '[311, 311, w^2 - 5]', '[317, 317, -w^3 + 5*w^2 - 2*w - 11]', '[319, 319, -w^3 + 3*w^2 - 2*w - 2]', '[323, 323, -w^2 - w + 4]', '[323, 323, 2*w^3 - 4*w^2 - 7*w + 2]', '[324, 6, 3*w^3 - 6*w^2 - 12*w + 3]', '[324, 162, 2*w^3 - 5*w^2 - 7*w + 3]', '[331, 331, -w^3 + 3*w^2 - 5]', '[333, 333, 3*w^3 - 8*w^2 - 8*w + 6]', '[339, 339, w^3 - 4*w^2 - 3*w + 3]', '[339, 339, -w^3 + 6*w^2 - 3*w - 6]', '[348, 174, -2*w^3 + 5*w^2 + 3*w - 3]', '[349, 349, -2*w^2 + 5*w + 2]', '[351, 39, -w^3 - w^2 + 8*w + 10]', '[351, 39, 2*w^3 - 4*w^2 - 7*w + 1]', '[351, 351, 2*w^3 - 6*w^2 - 4*w + 3]', '[351, 351, w^3 - 3*w^2 - 3*w + 9]', '[353, 353, -2*w^3 + 5*w^2 + 4*w - 4]', '[353, 353, 3*w^3 - 7*w^2 - 10*w + 2]', '[353, 353, -2*w^3 + 7*w^2 + 2*w - 10]', '[353, 353, w^3 + w^2 - 9*w - 13]', '[356, 178, w^3 - 3*w^2 - w - 2]', '[361, 19, -w^3 + w^2 + 7*w - 1]', '[361, 19, -w^3 + w^2 + 5*w - 1]', '[361, 361, w^2 + 2]', '[361, 361, -2*w^3 + 7*w^2 + 2*w - 8]', '[363, 363, -w^3 + 5*w^2 - 4*w - 3]', '[368, 46, 2*w^2 - 4*w - 2]', '[369, 369, 2*w^3 - 5*w^2 - 4*w + 3]', '[373, 373, -w^3 + 3*w^2 + 4*w - 11]', '[373, 373, 2*w^3 - 5*w^2 - 5*w - 2]', '[377, 377, -2*w^3 + 4*w^2 + 9*w - 5]', '[377, 377, w^3 - 3*w^2 + w - 1]', '[383, 383, w^3 - 5*w^2 + w + 13]', '[388, 194, -4*w^3 + 15*w^2 - 3*w - 7]', '[388, 194, -3*w^3 + 9*w^2 + w - 4]', '[389, 389, 3*w^3 - 10*w^2 - 4*w + 16]', '[391, 391, 2*w^3 - 8*w^2 + w + 7]', '[396, 198, -3*w^3 + 9*w^2 + 5*w - 6]', '[397, 397, -w^3 + 2*w^2 + 3*w + 5]', '[397, 397, -3*w^3 + 7*w^2 + 10*w - 7]', '[407, 407, 7*w^3 - 19*w^2 - 20*w + 26]', '[412, 206, -2*w^3 + 9*w^2 - 3*w - 7]', '[417, 417, w^3 - w^2 - 3*w - 3]', '[417, 417, 2*w^3 - 3*w^2 - 4*w]', '[419, 419, -w^3 + 2*w^2 + 4*w + 4]', '[419, 419, 3*w^3 - 7*w^2 - 12*w + 5]', '[421, 421, -w^2 + 5*w - 2]', '[421, 421, 3*w^3 - 7*w^2 - 10*w + 5]', '[429, 429, 3*w^3 - 8*w^2 - 7*w + 9]', '[429, 429, -w^3 + 4*w^2 - 2*w - 6]', '[431, 431, w^2 - 10]', '[432, 6, 2*w^3 - 4*w^2 - 10*w - 2]', '[432, 54, 2*w^3 - 4*w^2 - 6*w]', '[437, 437, w^3 - 2*w^2 - 7*w - 1]', '[437, 437, w^3 - 2*w^2 + 4]', '[439, 439, w^3 - w^2 - 7*w - 7]', '[444, 222, -8*w^3 + 21*w^2 + 27*w - 33]', '[447, 447, -2*w^3 + 5*w^2 + 8*w - 3]', '[447, 447, -w^3 + 5*w^2 - 2*w - 6]', '[451, 451, -3*w^3 + 6*w^2 + 12*w - 2]', '[452, 226, 7*w^3 - 24*w^2 - 2*w + 13]', '[452, 226, -w^3 + 5*w^2 - 3*w - 2]', '[453, 453, -3*w^2 - w]', '[459, 51, -w^3 + 2*w^2 + 5*w + 4]', '[459, 459, -w^3 + 2*w^2 + 2*w - 6]', '[461, 461, -2*w^3 + 7*w^2 + 5*w - 10]', '[464, 58, 4*w^3 - 14*w^2 + 2*w + 8]', '[467, 467, -3*w^3 + 6*w^2 + 14*w - 4]', '[468, 234, -2*w^3 + 5*w^2 + 9*w - 9]', '[468, 234, -w^3 + 2*w^2 + 2*w + 3]', '[471, 471, w^3 - w^2 - 8*w]', '[471, 471, 3*w^3 - 7*w^2 - 10*w + 6]', '[477, 477, -w^3 - 2*w^2 + 14*w + 12]', '[479, 479, 3*w^2 - 6*w - 5]', '[479, 479, -4*w^3 + 11*w^2 + 10*w - 10]', '[481, 481, -4*w^3 + 11*w^2 + 12*w - 20]', '[481, 481, -2*w^3 + 4*w^2 + 12*w - 11]', '[484, 242, -w^3 + w^2 + 5*w - 2]', '[489, 489, 2*w^3 - 7*w^2 - 4*w + 9]', '[489, 489, 2*w^3 - 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15]', '[1559, 1559, 5*w^2 - 10*w - 23]', '[1563, 1563, 2*w^3 - w^2 - 7*w]', '[1563, 1563, w^3 - 4*w^2 - 5*w + 9]', '[1564, 782, -w^3 + w^2 + 9*w + 2]', '[1567, 1567, -2*w^3 + 3*w^2 + 10*w - 2]', '[1571, 1571, w^3 - 7*w - 1]', '[1573, 1573, -2*w^3 + 8*w^2 - 3*w - 10]', '[1573, 1573, -3*w^3 + 6*w^2 + 14*w + 2]', '[1579, 1579, w^3 - 4*w^2 - w + 14]', '[1579, 1579, -3*w^3 + 9*w^2 + 10*w - 17]', '[1583, 1583, 2*w^3 - 3*w^2 - 8*w + 4]', '[1584, 198, -2*w^2 + 2*w + 12]', '[1587, 1587, 3*w^3 - 7*w^2 - 12*w + 3]', '[1588, 794, w^3 - 7*w^2 + 7*w + 8]', '[1588, 794, w^3 - 2*w^2 + 2*w + 5]', '[1593, 177, 4*w^3 - 11*w^2 - 8*w + 11]', '[1593, 1593, -4*w^3 + 10*w^2 + 10*w - 3]', '[1597, 1597, w^3 - 2*w^2 - w - 4]', '[1599, 1599, -4*w^3 + 13*w^2 + 4*w - 15]', '[1599, 1599, -4*w^3 + 10*w^2 + 14*w - 9]', '[1621, 1621, w^3 - 5*w^2 + 6*w + 5]', '[1627, 1627, -w^3 + 9*w + 1]', '[1627, 1627, -3*w^3 + 10*w^2 + 5*w - 14]', '[1628, 814, -3*w^3 + 9*w^2 + 3*w - 10]', '[1629, 1629, 5*w^3 - 14*w^2 - 15*w + 18]', '[1637, 1637, 3*w^3 - 10*w^2 - 7*w + 22]', '[1639, 1639, -2*w^3 + 3*w^2 + 12*w - 4]', '[1639, 1639, -6*w^3 + 18*w^2 + 15*w - 35]', '[1648, 206, 2*w^2 - 8*w - 8]', '[1649, 1649, 2*w^3 - 8*w^2 + 6*w + 1]', '[1649, 1649, 2*w^3 - 7*w^2 - 2*w + 1]', '[1653, 1653, -w^3 + 6*w^2 - 6*w - 12]', '[1653, 1653, w^3 - 5*w^2 + 6*w + 3]', '[1661, 1661, -2*w^3 + 6*w^2 + 7*w - 4]', '[1663, 1663, 6*w^3 - 12*w^2 - 26*w + 7]', '[1668, 834, 4*w^3 - 9*w^2 - 17*w + 9]', '[1668, 834, -w^3 + 4*w^2 - 2*w - 9]', '[1669, 1669, 7*w^3 - 17*w^2 - 24*w + 19]', '[1669, 1669, -2*w^3 + 6*w^2 + w - 8]', '[1676, 838, -5*w^3 + 15*w^2 + 5*w - 8]', '[1676, 838, w^2 + w - 7]', '[1679, 1679, -2*w^3 + 7*w^2 - 10]', '[1681, 1681, w^3 - w^2 - 2*w - 4]', '[1683, 1683, 4*w^3 - 10*w^2 - 11*w + 6]', '[1684, 842, 9*w^3 - 31*w^2 - 3*w + 22]', '[1684, 842, -w^3 + 4*w^2 - 4*w - 7]', '[1691, 1691, -2*w^3 + 8*w^2 - w - 2]', '[1691, 1691, 3*w^3 - 9*w^2 - 6*w + 5]', '[1693, 1693, 3*w^3 - 5*w^2 - 12*w - 1]', '[1697, 1697, -2*w^3 + 8*w^2 - 13]', '[1699, 1699, -w^3 + 4*w^2 + 3*w - 11]', '[1699, 1699, 2*w^3 - 7*w^2 - 5*w + 16]', '[1707, 1707, -4*w^2 - w]', '[1707, 1707, 2*w^3 - 5*w^2 - w]', '[1711, 1711, -3*w^3 + 7*w^2 + 7*w - 7]', '[1713, 1713, w^3 - 5*w^2 - 5*w + 3]', '[1716, 858, -2*w^3 + 5*w^2 + 3*w + 3]', '[1716, 858, 3*w^3 - 4*w^2 - 16*w - 3]', '[1719, 1719, -w^3 - 3*w^2 + 14*w + 12]', '[1724, 862, -8*w^3 + 25*w^2 + 9*w - 17]', '[1727, 1727, -2*w^3 + 3*w^2 + 4*w + 2]', '[1727, 1727, -w^3 - w^2 + 10*w + 16]', '[1728, 12, 2*w^3 - 4*w^2 - 4*w - 2]', '[1728, 108, -2*w^3 + 8*w^2 - 18]', '[1731, 1731, -w^3 + 3*w^2 - 2*w + 3]', '[1733, 1733, -5*w^3 + 14*w^2 + 11*w - 10]', '[1741, 1741, 3*w^3 - 6*w^2 - 14*w - 4]', '[1741, 1741, -w^2 + w - 4]', '[1747, 1747, 2*w^3 - 4*w^2 - 11*w + 2]', '[1748, 874, -w^3 + 6*w^2 - 2*w - 7]', '[1748, 874, 4*w^3 - 11*w^2 - 9*w + 5]', '[1749, 1749, -3*w^3 + 7*w^2 + 8*w - 3]', '[1751, 1751, w^3 - 5*w^2 + 7*w + 7]', '[1753, 1753, w^2 - 6*w - 2]', '[1753, 1753, -w^3 - w^2 + 11*w + 5]', '[1756, 878, 3*w^3 - 7*w^2 - 7*w + 2]', '[1759, 1759, -3*w^3 + 9*w^2 + 6*w - 20]', '[1761, 1761, 2*w^3 - 8*w^2 - 2*w + 9]', '[1776, 222, -4*w + 6]', '[1777, 1777, -w^3 + 5*w^2 - 4*w - 10]', '[1777, 1777, -5*w^3 + 13*w^2 + 16*w - 14]', '[1779, 1779, 3*w^3 - 4*w^2 - 11*w]', '[1779, 1779, 3*w^3 - 9*w^2 - 8*w + 9]', '[1783, 1783, -4*w^3 + 9*w^2 + 14*w - 13]', '[1787, 1787, -3*w^3 + 8*w^2 + 11*w - 7]', '[1787, 1787, -w^3 + 6*w^2 - 4*w - 22]', '[1787, 1787, w^3 + 2*w^2 - 11*w - 10]', '[1787, 1787, 3*w^3 - 6*w^2 - 10*w + 4]', '[1788, 894, 9*w^3 - 27*w^2 - 23*w + 48]', '[1788, 894, 5*w^3 - 13*w^2 - 15*w + 12]', '[1789, 1789, 4*w^3 - 9*w^2 - 13*w + 2]', '[1789, 1789, -4*w^3 + 12*w^2 + 7*w - 16]', '[1791, 1791, 3*w^3 - 7*w^2 - 8*w + 6]', '[1791, 1791, -w^2 - 2*w + 6]', '[1793, 1793, 8*w^3 - 23*w^2 - 22*w + 35]', '[1793, 1793, 10*w^3 - 26*w^2 - 33*w + 41]', '[1793, 1793, 5*w^3 - 15*w^2 - 14*w + 28]', '[1793, 1793, 6*w^3 - 15*w^2 - 22*w + 20]', '[1801, 1801, -3*w^3 + 7*w^2 + 11*w - 1]', '[1803, 1803, -3*w^3 + 10*w^2 + 6*w - 24]', '[1803, 1803, 3*w^3 - 11*w^2 - 4*w + 9]', '[1804, 902, -w^3 + 3*w^2 + w + 4]', '[1807, 1807, -2*w^3 + 5*w^2 + 10*w + 1]', '[1807, 1807, w^3 - w^2 - 9*w + 1]', '[1807, 1807, -2*w^2 + 5*w + 13]', '[1807, 1807, -2*w^3 + 7*w^2 - 2*w - 8]', '[1808, 226, 4*w^3 - 10*w^2 - 8*w + 2]', '[1808, 226, -2*w^3 + 6*w^2 + 2*w - 10]', '[1809, 201, w^3 + w^2 - 8*w - 4]', '[1809, 1809, -4*w^3 + 6*w^2 + 24*w + 9]', '[1811, 1811, -2*w^3 + 7*w^2 + 5*w - 2]', '[1811, 1811, 5*w^3 - 12*w^2 - 16*w + 8]', '[1811, 1811, -2*w^3 + 8*w^2 + w - 16]', '[1811, 1811, w^3 + 2*w^2 - 10*w - 14]', '[1812, 906, 2*w^3 - 3*w^2 - 9*w + 3]', '[1821, 1821, 2*w^3 - 7*w^2 - 5*w]', '[1823, 1823, w^3 - w^2 - 9*w - 1]', '[1823, 1823, -w^3 + 3*w^2 + 3*w - 11]', '[1831, 1831, 4*w^2 - 5*w - 7]', '[1831, 1831, -6*w^3 + 14*w^2 + 22*w - 17]', '[1836, 102, -5*w^3 + 7*w^2 + 25*w + 8]', '[1836, 918, -2*w^3 + 3*w^2 + 13*w - 3]', '[1837, 1837, -2*w^3 + 2*w^2 + 13*w + 2]', '[1839, 1839, 2*w^3 - w^2 - 4*w - 3]', '[1839, 1839, -4*w^3 + 11*w^2 + 12*w - 12]', '[1843, 1843, -3*w^3 + 6*w^2 + 11*w - 11]', '[1843, 1843, -3*w^3 + 4*w^2 + 12*w + 2]', '[1843, 1843, -3*w^3 + 10*w^2 + 7*w - 16]', '[1843, 1843, w^3 + w^2 - 2*w - 5]', '[1844, 922, -w^3 + 3*w^2 - 5*w + 2]', '[1851, 1851, -w^3 + 4*w^2 - 5*w]', '[1856, 116, 2*w^3 - 8*w^2 + 10]', '[1857, 1857, 2*w^2 - w - 9]', '[1859, 143, w^3 + w^2 - 10*w - 5]', '[1859, 143, 8*w^3 - 20*w^2 - 25*w + 28]', '[1859, 1859, w^3 - 6*w^2 + 3*w + 16]', '[1859, 1859, -w^3 + 2*w^2 + 4*w - 8]', '[1863, 69, 3*w^2 - 6*w - 3]', '[1863, 1863, 4*w^3 - 14*w^2 + 3*w + 9]', '[1868, 934, 3*w^3 - 11*w^2 - w + 14]', '[1871, 1871, -4*w^3 + 8*w^2 + 16*w - 7]', '[1872, 234, -2*w^3 + 8*w^2 - 2*w - 12]', '[1872, 234, 4*w^3 - 10*w^2 - 10*w + 12]', '[1875, 15, -5*w]', '[1877, 1877, -6*w^3 + 16*w^2 + 19*w - 20]', '[1877, 1877, 2*w^3 - 2*w^2 - 11*w - 2]', '[1879, 1879, -6*w^3 + 14*w^2 + 22*w - 11]', '[1881, 1881, -2*w^3 + 7*w^2]', '[1881, 1881, 4*w^3 - 10*w^2 - 15*w + 9]', '[1884, 942, -5*w^3 + 18*w^2 - 15]', '[1884, 942, -w^3 + 3*w^2 - 3*w - 6]', '[1887, 1887, 5*w^3 - 15*w^2 - 6*w + 12]', '[1889, 1889, -2*w^3 + 8*w^2 + 2*w - 17]', '[1893, 1893, 2*w^2 + 3*w - 6]', '[1901, 1901, 4*w^3 - 12*w^2 - 7*w + 8]', '[1901, 1901, 4*w^3 - 7*w^2 - 17*w - 4]', '[1903, 1903, -2*w^3 + 5*w^2 + 2*w + 1]', '[1903, 1903, -9*w^3 + 23*w^2 + 29*w - 29]', '[1908, 954, w^3 - w^2 - 9*w]', '[1916, 958, -7*w^3 + 24*w^2 - 2*w - 17]', '[1916, 958, -6*w^3 + 21*w^2 - 3*w - 7]', '[1921, 1921, -6*w^3 + 18*w^2 + 5*w - 7]', '[1921, 1921, -w^2 + 6*w - 1]', '[1924, 962, 6*w^3 - 17*w^2 - 13*w + 19]', '[1924, 962, 9*w^3 - 26*w^2 - 24*w + 41]', '[1931, 1931, -w^3 + 2*w^2 + w - 8]', '[1936, 242, 4*w^2 - 8*w - 10]', '[1937, 1937, 5*w^3 - 15*w^2 - 8*w + 10]', '[1937, 1937, w^3 - 5*w^2 + 3*w + 13]', '[1937, 1937, 4*w^3 - 13*w^2 - 8*w + 23]', '[1937, 1937, 8*w^3 - 18*w^2 - 30*w + 17]', '[1941, 1941, -w^3 + 3*w^2 - 4*w - 3]', '[1941, 1941, -5*w^2 + 3*w + 6]', '[1943, 1943, -3*w^3 + 7*w^2 + 8*w - 4]', '[1947, 1947, -5*w^3 + 14*w^2 + 13*w - 15]', '[1956, 978, -15*w^3 + 41*w^2 + 45*w - 60]', '[1956, 978, -8*w^3 + 23*w^2 + 21*w - 39]', '[1956, 978, -9*w^3 + 23*w^2 + 29*w - 30]', '[1956, 978, -10*w^3 + 27*w^2 + 31*w - 45]', '[1957, 1957, 3*w^3 - w^2 - 18*w - 13]', '[1957, 1957, -2*w^3 + 9*w + 4]', '[1959, 1959, -2*w^2 + 3*w - 3]', '[1959, 1959, -2*w^3 + 4*w^2 + 11*w - 3]', '[1961, 1961, 4*w^3 - 8*w^2 - 14*w + 7]', '[1963, 1963, 3*w^2 - 5*w - 2]', '[1963, 1963, -w^3 - w^2 + 4*w + 7]', '[1964, 982, 4*w^3 - 13*w^2 - w + 11]', '[1968, 246, -2*w^3 + 8*w^2 - 12]', '[1971, 219, w^3 + w^2 - 8*w - 13]', '[1971, 1971, -w^3 + 2*w^2 + 4*w + 6]', '[1972, 986, -2*w^3 + 9*w^2 - 5*w - 5]', '[1977, 1977, -9*w^3 + 25*w^2 + 28*w - 42]', '[1977, 1977, 2*w^3 - 5*w^2 - 6*w + 12]', '[1979, 1979, 2*w^3 - 4*w^2 - 11*w + 4]', '[1983, 1983, 3*w^3 - 7*w^2 - 5*w + 3]', '[1983, 1983, w^3 - 5*w^2 - 2*w]', '[1989, 1989, w^3 - w^2 - 6*w - 9]', '[1989, 1989, 5*w^3 - 12*w^2 - 18*w + 18]', '[1991, 1991, 5*w - 1]', '[1996, 998, 3*w^3 - 9*w^2 - 5*w + 14]', '[1996, 998, 3*w^3 - 9*w^2 - w + 2]', '[1997, 1997, -w^3 + 6*w^2 - w - 7]', '[1999, 1999, -4*w^3 + 11*w^2 + 10*w - 8]', '[2001, 2001, w^3 + w^2 - 7*w - 3]', '[2004, 1002, 4*w^3 - 9*w^2 - 15*w + 3]', '[2007, 2007, w^3 - 3*w^2 - 7*w + 3]', '[2007, 2007, -3*w^2 + 4*w + 15]', '[2007, 2007, 2*w^3 + w^2 - 20*w - 12]', '[2012, 1006, -8*w^3 + 29*w^2 - 3*w - 17]', '[2017, 2017, -2*w^3 + 8*w^2 - 11]', '[2017, 2017, -4*w^3 + 10*w^2 + 13*w - 7]', '[2019, 2019, -w^3 + w^2 + 3]', '[2028, 78, -3*w^3 + 7*w^2 + 11*w]', '[2028, 78, -10*w^3 + 27*w^2 + 33*w - 39]', '[2028, 1014, -w^3 + 5*w^2 - w - 18]', '[2028, 1014, 3*w^3 - 10*w^2 - 6*w + 15]', '[2029, 2029, -w^3 + 4*w^2 - 2*w - 10]', '[2029, 2029, -w^3 + 4*w^2 + 4*w - 10]', '[2041, 2041, 4*w^2 - 8*w - 13]', '[2041, 2041, 2*w^2 - 4*w - 13]', '[2041, 2041, -4*w^3 + 11*w^2 + 6*w - 5]', '[2041, 2041, -w^2 + 6*w + 1]', '[2047, 2047, 3*w^3 - 11*w^2 - 3*w + 11]', '[2049, 2049, -2*w^3 + 6*w^2 + 4*w - 15]', '[2049, 2049, -5*w^3 + 11*w^2 + 20*w - 12]', '[2052, 114, w^3 - 2*w^2 - 8*w - 7]', '[2052, 114, 4*w^3 - 5*w^2 - 23*w - 7]', '[2052, 1026, -3*w^3 + 11*w^2 + w - 12]', '[2052, 1026, w^3 + w^2 - 13*w - 6]', '[2053, 2053, -5*w^3 + 12*w^2 + 18*w - 10]', '[2053, 2053, 5*w^3 - 12*w^2 - 17*w + 8]', '[2057, 2057, 2*w^3 - 5*w^2 - 10*w + 5]', '[2061, 2061, 2*w^3 - 2*w^2 - 9*w]', '[2061, 2061, 5*w^2 - 11*w - 12]', '[2063, 2063, 4*w^3 - 10*w^2 - 11*w + 11]', '[2063, 2063, -4*w^2 + 6*w + 5]', '[2067, 2067, -2*w^3 + 8*w^2 - 5*w - 6]', '[2067, 2067, -w^3 + 2*w^2 + 6*w + 6]', '[2076, 1038, 11*w^3 - 28*w^2 - 38*w + 39]', '[2076, 1038, -2*w^3 + 7*w^2 - w - 9]', '[2084, 1042, 2*w^3 - 7*w^2 - 5*w + 5]', '[2084, 1042, 5*w^3 - 15*w^2 - 7*w + 16]', '[2087, 2087, -4*w^3 + 12*w^2 + 9*w - 25]', '[2091, 2091, w^3 - 6*w^2 + 7*w + 3]', '[2097, 2097, 5*w^3 - 7*w^2 - 28*w - 6]', '[2097, 2097, -w^2 + 6*w]', '[2099, 2099, w^3 - 2*w^2 - w - 5]', '[2099, 2099, w^3 - 6*w^2 + 3*w + 22]', '[2099, 2099, -w^3 + 6*w^2 - 3*w - 8]', '[2099, 2099, w^3 + 2*w^2 - 11*w - 14]', '[2101, 2101, w^3 - 4*w^2 + 3*w + 8]', '[2103, 2103, 2*w^3 - 5*w^2 + 6]', '[2109, 2109, -6*w^3 + 14*w^2 + 23*w - 18]', '[2109, 2109, 10*w^3 - 28*w^2 - 27*w + 42]', '[2111, 2111, -4*w^3 + 9*w^2 + 14*w - 14]', '[2112, 132, -2*w^3 + 4*w^2 + 8*w + 6]', '[2116, 1058, 3*w^3 - 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6*w^2 - 15*w - 5]', '[2147, 2147, -3*w^3 + 5*w^2 + 10*w - 7]', '[2147, 2147, -w^3 + 6*w^2 - 14]', '[2153, 2153, 2*w^3 - 5*w^2 - 10*w + 8]', '[2157, 2157, w^3 - 7*w]', '[2157, 2157, -w^3 - 2*w^2 + 9*w + 6]', '[2169, 2169, 3*w^3 - 9*w^2 - 4*w + 12]', '[2171, 2171, 4*w^3 - 11*w^2 - 9*w + 4]', '[2171, 2171, -w^3 - w^2 + 12*w + 13]', '[2172, 1086, 3*w^3 - 7*w^2 - 7*w + 6]', '[2173, 2173, 5*w^3 - 8*w^2 - 24*w - 2]', '[2183, 2183, 4*w^3 - 10*w^2 - 11*w + 7]', '[2187, 9, 3*w^3 - 6*w^2 - 6*w + 6]', '[2187, 81, -3*w^3 + 6*w^2 + 9*w]', '[2187, 2187, 3*w^3 - 6*w^2 - 8*w + 6]', '[2189, 2189, -4*w^2 + 5*w + 4]', '[2189, 2189, -2*w^3 + 8*w^2 + 3*w - 20]', '[2197, 13, -4*w^3 + 11*w^2 + 15*w - 16]', '[2197, 13, -5*w^3 + 13*w^2 + 12*w - 25]', '[2197, 169, w^3 - 2*w^2 - 3*w - 7]', '[2197, 169, 3*w^3 - 6*w^2 - 9*w + 5]', '[2197, 2197, 3*w^3 - 6*w^2 - 11*w + 10]', '[2197, 2197, 3*w^3 - 11*w^2 - 2*w + 11]', '[2199, 2199, 3*w^3 - 7*w^2 - 6*w + 6]', '[2204, 1102, w^3 - 4*w^2 + 2*w + 11]', '[2204, 1102, w^3 - 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23*w^2 - 26*w + 38]', '[5072, 634, -2*w^3 + 10*w^2 - 4*w - 22]', '[5073, 5073, 4*w^3 - 15*w^2 + 4*w + 3]', '[5073, 5073, -7*w^3 + 19*w^2 + 22*w - 24]', '[5077, 5077, -2*w^3 + 6*w^2 - 3*w - 8]', '[5079, 5079, w^3 + 3*w^2 - 7*w - 9]', '[5083, 5083, -3*w^3 + 12*w^2 + 3*w - 4]', '[5083, 5083, 3*w^3 - 9*w^2 - 8*w + 5]', '[5087, 5087, 2*w^3 - 7*w^2 - 6*w + 17]', '[5087, 5087, -2*w^3 + w^2 + 12*w + 17]', '[5091, 5091, 4*w^3 - 10*w^2 - 9*w + 6]', '[5092, 2546, 5*w^3 - 8*w^2 - 22*w + 1]', '[5092, 2546, 7*w^2 - 13*w - 35]', '[5097, 5097, 2*w^3 - 2*w^2 - 9*w + 3]', '[5097, 5097, -3*w^3 + 5*w^2 + 12*w - 6]', '[5101, 5101, -4*w^3 + 12*w^2 + 15*w - 22]', '[5101, 5101, 6*w^3 - 18*w^2 - 17*w + 34]', '[5104, 638, -2*w^3 + 6*w^2 - 4*w - 4]', '[5108, 2554, 7*w^3 - 23*w^2 + 3*w + 10]', '[5116, 2558, -7*w^3 + 22*w^2 + 4*w - 7]', '[5116, 2558, -3*w^3 + 11*w^2 + 3*w - 14]', '[5121, 5121, -4*w^3 + 7*w^2 + 14*w + 3]', '[5121, 5121, -5*w^3 + 13*w^2 + 13*w - 3]', '[5129, 5129, 4*w^3 - 9*w^2 - 12*w + 7]', '[5129, 5129, -2*w^3 + 6*w^2 + w - 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12*w + 14]', '[5167, 5167, 7*w^3 - 17*w^2 - 27*w + 19]', '[5168, 646, -2*w^2 - 2*w + 8]', '[5168, 646, 4*w^3 - 8*w^2 - 14*w + 4]', '[5171, 5171, -4*w^3 + 7*w^2 + 15*w + 8]', '[5171, 5171, -5*w^3 + 13*w^2 + 18*w - 13]', '[5171, 5171, w^3 - 12*w - 4]', '[5171, 5171, 2*w^3 - 2*w^2 - 15*w - 14]', '[5172, 2586, 10*w^3 - 29*w^2 - 29*w + 57]', '[5181, 5181, -7*w^3 + 18*w^2 + 22*w - 18]', '[5181, 5181, 5*w^3 - 10*w^2 - 21*w - 6]', '[5184, 12, 6*w^3 - 12*w^2 - 24*w + 6]', '[5184, 324, 4*w^3 - 10*w^2 - 14*w + 6]', '[5188, 2594, -w^2 + 3*w - 7]', '[5188, 2594, 8*w^3 - 25*w^2 - 5*w + 17]', '[5189, 5189, 4*w^3 - 7*w^2 - 15*w + 2]', '[5193, 5193, 6*w^3 - 16*w^2 - 15*w + 9]', '[5199, 5199, 4*w^3 - 14*w^2 + 15]', '[5212, 2606, 2*w^3 - 5*w^2 - 11*w + 7]', '[5212, 2606, -2*w^3 + 9*w^2 - w - 19]', '[5219, 5219, -3*w^3 + 10*w^2 + w - 13]', '[5223, 5223, w^2 - 10*w - 9]', '[5223, 5223, -w^3 + w^2 - 4*w]', '[5228, 2614, 2*w^3 - 7*w^2 - w - 1]', '[5231, 5231, w^3 - 7*w^2 + 4*w + 20]', '[5231, 5231, -5*w^3 + 11*w^2 + 14*w - 14]', '[5231, 5231, -4*w^3 + 13*w^2 + 10*w - 29]', '[5231, 5231, 6*w^3 - 14*w^2 - 19*w + 5]', '[5241, 5241, -w^2 - 2*w - 6]', '[5244, 2622, -w^3 - 2*w^2 + 16*w + 9]', '[5244, 2622, -3*w^3 + 11*w^2 - 3*w - 12]', '[5247, 5247, 4*w^3 - 6*w^2 - 19*w - 15]', '[5249, 5249, -w^2 + 4*w - 8]', '[5251, 5251, -w^3 + 2*w^2 + 9*w - 4]', '[5253, 5253, -3*w^3 + 12*w^2 + 5*w - 3]', '[5259, 5259, w^3 - 6*w^2 - 2*w]', '[5259, 5259, -3*w^3 + 6*w^2 + 7*w + 3]', '[5261, 5261, w^3 + 5*w^2 - 16*w - 29]', '[5263, 5263, -2*w^3 + 7*w^2 + 8*w - 4]', '[5263, 5263, -3*w^3 + 11*w^2 + 6*w - 20]', '[5263, 5263, w^3 - w^2 - 9*w - 11]', '[5263, 5263, -4*w^3 + 8*w^2 + 14*w - 13]', '[5267, 5267, -7*w^3 + 20*w^2 + 19*w - 25]', '[5267, 5267, -7*w^3 + 22*w^2 + 13*w - 35]', '[5268, 2634, -w^3 + 7*w^2 - 3*w - 24]', '[5269, 5269, 9*w^3 - 22*w^2 - 35*w + 35]', '[5269, 5269, -4*w^3 + 9*w^2 + 11*w - 2]', '[5273, 5273, -w^3 + 5*w^2 + 3*w - 13]', '[5276, 2638, 3*w^3 - 11*w^2 - 5*w + 8]', '[5277, 5277, -6*w^3 + 17*w^2 + 11*w - 12]', '[5279, 5279, w^3 - 3*w^2 - 3*w - 5]', '[5281, 5281, -2*w^2 + 4*w - 5]', '[5283, 5283, w^3 - 12*w]', '[5287, 5287, -4*w^3 + 10*w^2 + 9*w - 7]', '[5291, 5291, -6*w^3 + 20*w^2 + 7*w - 26]', '[5291, 5291, 4*w^3 - 10*w^2 - 17*w + 16]', '[5296, 662, -2*w^3 + 6*w^2 - 10]', '[5297, 5297, 6*w^3 - 13*w^2 - 26*w + 10]', '[5297, 5297, 4*w^3 - 8*w^2 - 14*w + 1]', '[5303, 5303, -6*w^3 + 17*w^2 + 12*w - 22]', '[5308, 2654, -w^3 + 4*w^2 - 6*w - 1]', '[5308, 2654, -3*w^3 + 10*w^2 - 4*w - 5]', '[5309, 5309, w^3 - 3*w^2 - 7]', '[5309, 5309, 2*w^3 - 8*w^2 + w + 22]', '[5323, 5323, -7*w^3 + 20*w^2 + 17*w - 31]', '[5324, 22, -5*w^3 + 20*w^2 - 4*w - 13]', '[5324, 2662, 6*w^3 - 15*w^2 - 17*w + 19]', '[5328, 666, 6*w^3 - 16*w^2 - 16*w + 12]', '[5329, 5329, -w^3 + 5*w^2 - 4*w - 16]', '[5331, 5331, 3*w^3 - 9*w^2 - 4*w + 15]', '[5331, 5331, 3*w^3 - 9*w^2 - 8*w + 3]', '[5333, 5333, w^3 - 3*w^2 - 4*w - 5]', '[5333, 5333, -6*w^3 + 14*w^2 + 21*w - 20]', '[5337, 5337, -4*w^3 + 3*w^2 + 28*w + 24]', '[5337, 5337, -3*w^3 + 7*w^2 + 3*w - 9]', '[5339, 5339, 2*w^2 + w + 4]', '[5339, 5339, 3*w^3 - 7*w^2 - 14*w - 1]', '[5347, 5347, -4*w^3 + 10*w^2 + 15*w - 22]', '[5347, 5347, -w^3 + 2*w^2 + 9*w - 2]', '[5349, 5349, w^3 - 6*w^2 - 5*w + 12]', '[5351, 5351, -4*w^3 + 12*w^2 + 7*w - 1]', '[5351, 5351, -w^3 - 5*w^2 + 17*w + 29]', '[5351, 5351, 2*w^3 - w^2 - 12*w - 16]', '[5351, 5351, -2*w^3 - w^2 + 20*w + 23]', '[5356, 2678, -2*w^3 + 7*w^2 + 5*w + 1]', '[5356, 2678, 3*w^3 - 4*w^2 - 20*w - 7]', '[5359, 5359, -w^3 - 3*w^2 + 13*w + 13]', '[5359, 5359, -w^3 + 7*w^2 - 6*w - 16]', '[5361, 5361, 2*w^3 - 4*w^2 - w + 9]', '[5361, 5361, -5*w^2 + 2*w + 9]', '[5361, 5361, 10*w^3 - 26*w^2 - 33*w + 33]', '[5361, 5361, 4*w^3 - 6*w^2 - 12*w - 3]', '[5364, 2682, -9*w^3 + 22*w^2 + 30*w - 27]', '[5364, 2682, -3*w^3 + 10*w^2 + 2*w - 15]', '[5367, 5367, -w^3 + 7*w^2 - 6*w - 12]', '[5367, 5367, 4*w^3 - 13*w^2 - 8*w + 12]', '[5373, 597, 5*w^3 - 13*w^2 - 16*w + 25]', '[5373, 597, -7*w^3 + 14*w^2 + 29*w - 5]', '[5373, 5373, -w^3 + 7*w + 15]', '[5373, 5373, 5*w^3 - 12*w^2 - 17*w + 6]', '[5377, 5377, 4*w^3 - 6*w^2 - 21*w - 1]', '[5377, 5377, 5*w^2 - 8*w - 19]', '[5377, 5377, 6*w^3 - 23*w^2 + 4*w + 20]', '[5377, 5377, -3*w^3 + 5*w^2 + 13*w - 5]', '[5379, 5379, -6*w^3 + 17*w^2 + 21*w - 30]', '[5379, 5379, -3*w^3 + 8*w^2 + 8*w - 18]', '[5379, 5379, -7*w^3 + 18*w^2 + 19*w - 24]', '[5379, 5379, -5*w^3 + 11*w^2 + 18*w - 15]', '[5387, 5387, 3*w^3 - 3*w^2 - 18*w - 5]', '[5389, 5389, -5*w^3 + 9*w^2 + 20*w + 5]', '[5393, 5393, -4*w^3 + 10*w^2 + 8*w - 5]', '[5399, 5399, -2*w^3 + 7*w^2 - 14]', '[5399, 5399, 2*w^3 - 10*w^2 + 6*w + 7]', '[5401, 5401, 6*w^3 - 15*w^2 - 18*w + 17]', '[5403, 5403, w^3 - 4*w^2 + 5*w + 9]', '[5409, 5409, -2*w^3 + 6*w^2 - w + 3]', '[5409, 5409, 4*w^3 - 9*w^2 - 18*w + 9]', '[5412, 2706, w^3 - 4*w^2 + 6*w + 3]', '[5421, 5421, w^3 - 4*w^2 - w - 3]', '[5421, 5421, 3*w^3 - 12*w^2 - 4*w + 6]', '[5421, 5421, -2*w^3 + 5*w^2 + 13*w]', '[5421, 5421, w^3 + 5*w + 6]', '[5423, 5423, 3*w^3 - 9*w^2 - 8*w + 22]', '[5424, 678, 2*w^3 - 8*w^2 - 6*w + 6]', '[5424, 678, -2*w^3 + 12*w^2 - 6*w - 12]', '[5427, 201, 3*w^3 - 3*w^2 - 6*w - 3]', '[5427, 5427, w^3 - 5*w^2 + 4*w + 15]', '[5428, 2714, -w^3 + 5]', '[5433, 5433, 3*w^3 - 5*w^2 + 2*w + 6]', '[5433, 5433, -2*w^3 + 9*w^2 - 2*w - 15]', '[5433, 5433, 4*w^3 - 5*w^2 - 16*w - 3]', '[5433, 5433, 4*w^3 - 9*w^2 - 12*w + 6]', '[5436, 2718, w^3 + w^2 - w - 6]', '[5441, 5441, 4*w^3 - 9*w^2 - 12*w + 5]', '[5443, 5443, 5*w^3 - 12*w^2 - 14*w + 4]', '[5447, 5447, 4*w^3 - 16*w^2 - 5*w + 37]', '[5447, 5447, -2*w^3 + 5*w^2 + 2*w + 5]', '[5447, 5447, 4*w^3 - 6*w^2 - 20*w - 1]', '[5447, 5447, 7*w^3 - 17*w^2 - 23*w + 19]', '[5449, 5449, w^2 + 6*w - 1]', '[5449, 5449, -3*w^3 + 9*w^2 + 8*w - 4]', '[5459, 5459, -w^3 + 4*w^2 + w - 16]', '[5463, 5463, -7*w^3 + 13*w^2 + 27*w + 9]', '[5468, 2734, -2*w^3 + 9*w^2 - w - 11]', '[5468, 2734, 7*w^3 - 20*w^2 - 14*w + 19]', '[5469, 5469, w^3 - 4*w^2 - 3*w - 3]', '[5469, 5469, w^3 - 2*w^2 - 9*w + 3]', '[5471, 5471, -6*w^3 + 19*w^2 + 12*w - 37]', '[5471, 5471, 4*w^3 - 10*w^2 - 17*w + 11]', '[5473, 5473, w^3 - 7*w^2 + 12*w - 4]', '[5473, 5473, -2*w^3 + 8*w^2 + 2*w - 1]', '[5473, 5473, 2*w^3 - 3*w^2 - 14*w - 2]', '[5473, 5473, -3*w^3 + 9*w^2 + 11*w - 19]', '[5476, 2738, -3*w^3 + 13*w^2 - 7*w - 4]', '[5477, 5477, 2*w^2 - w - 14]', '[5477, 5477, -3*w^3 + 10*w^2 + 5*w - 25]', '[5489, 5489, -4*w^3 + 9*w^2 + 18*w - 10]', '[5489, 5489, w^3 + w^2 - 7*w + 1]', '[5491, 5491, 4*w^3 - 10*w^2 - 7*w + 8]', '[5491, 5491, -w^3 + w^2 + 2*w + 7]', '[5493, 5493, 4*w^3 - 5*w^2 - 7*w]', '[5493, 5493, 2*w^3 - 8*w^2 - 5*w + 18]', '[5501, 5501, -3*w^3 + 8*w^2 + 12*w - 4]', '[5501, 5501, -3*w^3 + 10*w^2 + 7*w - 8]', '[5503, 5503, 7*w^3 - 11*w^2 - 33*w - 5]', '[5507, 5507, -5*w^3 + 16*w^2 + 13*w - 26]', '[5508, 102, -3*w^3 + 18*w + 15]', '[5508, 2754, -w^3 + 3*w^2 + w + 6]', '[5511, 5511, -2*w^3 + 3*w^2 + 6*w + 6]', '[5513, 5513, -5*w^3 + 9*w^2 + 22*w - 4]', '[5513, 5513, -2*w^3 + 5*w^2 + 6*w + 5]', '[5517, 5517, -4*w^3 + 8*w^2 + 19*w + 6]', '[5517, 5517, 3*w^3 - 8*w^2 - 4*w + 12]', '[5521, 5521, -2*w^3 + 9*w^2 - 2*w - 13]', '[5521, 5521, 2*w^3 - 10*w^2 + 7*w + 7]', '[5521, 5521, -4*w^3 + 14*w^2 + w - 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11*w - 9]', '[9971, 767, -9*w^3 + 22*w^2 + 35*w - 34]', '[9971, 767, -8*w^3 + 19*w^2 + 29*w - 26]', '[9971, 9971, -3*w^3 + 4*w^2 + 13*w + 17]', '[9971, 9971, -5*w^3 + 17*w^2 + 2*w - 19]', '[9972, 4986, 8*w^3 - 21*w^2 - 21*w + 27]', '[9972, 4986, w^3 - 2*w^2 - 10*w + 3]', '[9977, 9977, 9*w^3 - 25*w^2 - 26*w + 32]', '[9977, 9977, 5*w^2 - 8*w - 14]', '[9979, 9979, 2*w^3 - 7*w^2 + 5*w - 4]', '[9981, 9981, 3*w^3 - 14*w^2 + 5*w + 30]', '[9981, 9981, 5*w^2 - 5*w - 12]', '[9981, 9981, -w^3 + 6*w^2 - 6*w - 18]', '[9981, 9981, -w^3 - 2*w^2 + 15*w + 18]', '[9983, 9983, 2*w^2 - 13]', '[9983, 9983, -4*w^3 + 8*w^2 + 16*w - 13]', '[9984, 156, -4*w^2 + 8*w]', '[9984, 156, 4*w^2 - 12]', '[9991, 9991, 5*w^3 - 11*w^2 - 15*w + 11]', '[9991, 9991, -6*w^3 + 20*w^2 + 10*w - 41]', '[9993, 9993, 5*w^2 - 8*w - 15]', '[9997, 9997, 13*w^3 - 37*w^2 - 28*w + 35]', '[9997, 9997, 7*w^3 - 24*w^2 - 11*w + 47]', '[10000, 10, -10]'], 'label': '4.4.14272.1', 'narrow_class_no': 2, 'primes': ['[3, 3, w]', '[4, 2, -w^3 + 3*w^2 + w - 2]', '[11, 11, -w^3 + 3*w^2 + 2*w - 5]', '[13, 13, w^3 - 2*w^2 - 4*w + 2]', '[13, 13, -w + 2]', '[17, 17, w^3 - 3*w^2 - 2*w + 2]', '[19, 19, -w^2 + w + 4]', '[19, 19, w^3 - 2*w^2 - 3*w + 2]', '[23, 23, w^2 - 2*w - 1]', '[27, 3, w^3 - 2*w^2 - 5*w - 1]', '[29, 29, -w^3 + 2*w^2 + 5*w - 1]', '[37, 37, -w^3 + 2*w^2 + 5*w - 4]', '[41, 41, 2*w^3 - 5*w^2 - 6*w + 4]', '[53, 53, w^3 - 2*w^2 - 3*w - 2]', '[59, 59, w - 4]', '[67, 67, 2*w^2 - 3*w - 8]', '[73, 73, 2*w^3 - 5*w^2 - 6*w + 5]', '[89, 89, -2*w^3 + 6*w^2 + 5*w - 7]', '[97, 97, -2*w^3 + 6*w^2 + 3*w - 7]', '[97, 97, -w^3 + 3*w^2 + 3*w - 1]', '[103, 103, w^2 - 4*w - 4]', '[113, 113, 2*w^3 - 5*w^2 - 4*w + 1]', '[113, 113, -w^3 + 3*w^2 + w - 5]', '[139, 139, 2*w^2 - 3*w - 4]', '[139, 139, w^3 - w^2 - 6*w - 1]', '[149, 149, 2*w^3 - 5*w^2 - 5*w + 2]', '[149, 149, w^3 - 4*w^2 + 10]', '[151, 151, -3*w - 1]', '[157, 157, w^2 - w - 8]', '[157, 157, w^3 - 7*w - 8]', '[163, 163, -3*w^3 + 8*w^2 + 8*w - 10]', '[163, 163, w^3 - 3*w^2 - 4*w + 7]', '[163, 163, -w^3 + 4*w^2 + w - 8]', '[163, 163, -2*w^3 + 5*w^2 + 7*w - 4]', '[167, 167, -2*w^3 + 5*w^2 + 8*w - 4]', '[169, 13, -2*w^3 + 4*w^2 + 7*w - 5]', '[173, 173, 2*w^3 - 4*w^2 - 9*w + 4]', '[173, 173, -w^3 + 5*w^2 - 2*w - 5]', '[181, 181, 3*w^3 - 7*w^2 - 12*w + 7]', '[191, 191, w^3 - 3*w^2 - 3*w - 1]', '[199, 199, 2*w^3 - 3*w^2 - 10*w - 1]', '[199, 199, 2*w^3 - 6*w^2 - 6*w + 13]', '[223, 223, -2*w^3 + 6*w^2 + 4*w - 11]', '[223, 223, 3*w^3 - 7*w^2 - 12*w + 8]', '[223, 223, -2*w^3 + 5*w^2 + 6*w - 1]', '[229, 229, -w^3 + 3*w^2 + 2*w + 1]', '[229, 229, 3*w^3 - 4*w^2 - 15*w - 5]', '[233, 233, -3*w^3 + 7*w^2 + 11*w - 5]', '[233, 233, 2*w^3 - 5*w^2 - 4*w + 5]', '[241, 241, w^3 - 3*w^2 - 5*w + 7]', '[257, 257, w^3 - 3*w^2 - 4*w + 8]', '[263, 263, w^2 - 4*w - 5]', '[271, 271, -2*w^3 + 6*w^2 + 5*w - 13]', '[277, 277, -2*w^3 + 6*w^2 + 3*w - 8]', '[277, 277, w^3 - 2*w^2 - 2*w - 2]', '[281, 281, 2*w^3 - 5*w^2 - 4*w + 2]', '[283, 283, -3*w^2 + 7*w + 10]', '[283, 283, -w^3 + 4*w^2 - w - 7]', '[293, 293, 2*w^3 - 5*w^2 - 3*w + 4]', '[293, 293, w^3 - 8*w - 4]', '[307, 307, -w^3 + 2*w^2 + 6*w - 2]', '[311, 311, w^2 - 5]', '[317, 317, -w^3 + 5*w^2 - 2*w - 11]', '[331, 331, -w^3 + 3*w^2 - 5]', '[349, 349, -2*w^2 + 5*w + 2]', '[353, 353, -2*w^3 + 5*w^2 + 4*w - 4]', '[353, 353, 3*w^3 - 7*w^2 - 10*w + 2]', '[353, 353, -2*w^3 + 7*w^2 + 2*w - 10]', '[353, 353, w^3 + w^2 - 9*w - 13]', '[361, 19, -w^3 + w^2 + 5*w - 1]', '[373, 373, -w^3 + 3*w^2 + 4*w - 11]', '[373, 373, 2*w^3 - 5*w^2 - 5*w - 2]', '[383, 383, w^3 - 5*w^2 + w + 13]', '[389, 389, 3*w^3 - 10*w^2 - 4*w + 16]', '[397, 397, -w^3 + 2*w^2 + 3*w + 5]', '[397, 397, -3*w^3 + 7*w^2 + 10*w - 7]', '[419, 419, -w^3 + 2*w^2 + 4*w + 4]', '[419, 419, 3*w^3 - 7*w^2 - 12*w + 5]', '[421, 421, -w^2 + 5*w - 2]', '[421, 421, 3*w^3 - 7*w^2 - 10*w + 5]', '[431, 431, w^2 - 10]', '[439, 439, w^3 - w^2 - 7*w - 7]', '[461, 461, -2*w^3 + 7*w^2 + 5*w - 10]', '[467, 467, -3*w^3 + 6*w^2 + 14*w - 4]', '[479, 479, 3*w^2 - 6*w - 5]', '[479, 479, -4*w^3 + 11*w^2 + 10*w - 10]', '[491, 491, -w^3 + w^2 + 6*w - 1]', '[499, 499, -4*w^3 + 9*w^2 + 15*w - 10]', '[499, 499, 2*w^3 - 5*w^2 - 7*w + 2]', '[503, 503, -2*w^3 + 7*w^2 - 8]', '[521, 521, 2*w^2 - w - 7]', '[521, 521, -3*w^3 + 7*w^2 + 11*w - 11]', '[569, 569, 2*w^2 - 5*w - 1]', '[569, 569, -4*w - 1]', '[571, 571, -w^3 + 3*w^2 - 7]', '[577, 577, -w^3 + w^2 + 8*w - 4]', '[587, 587, -3*w^3 + 8*w^2 + 7*w - 8]', '[593, 593, 3*w^2 - 4*w - 11]', '[593, 593, -3*w^3 + 9*w^2 + 6*w - 14]', '[601, 601, -3*w^3 + 9*w^2 + 4*w - 10]', '[601, 601, 5*w^3 - 9*w^2 - 24*w - 2]', '[607, 607, 2*w^2 - 7*w - 5]', '[613, 613, w^3 - 6*w - 2]', '[613, 613, -w^2 + 3*w + 8]', '[617, 617, -w^2 + 4*w - 5]', '[619, 619, 3*w^3 - 6*w^2 - 13*w + 5]', '[625, 5, -5]', '[631, 631, -2*w^3 + 4*w^2 + 8*w - 7]', '[647, 647, -2*w^3 + 4*w^2 + 5*w - 1]', '[647, 647, w^3 - 3*w^2 - 2*w - 2]', '[653, 653, w^3 - 4*w^2 - w + 13]', '[653, 653, w^3 - 2*w^2 - 7*w + 5]', '[659, 659, -4*w^3 + 10*w^2 + 15*w - 14]', '[659, 659, 5*w^3 - 12*w^2 - 17*w + 14]', '[661, 661, w^2 - 5*w - 2]', '[661, 661, -w^3 + 5*w^2 - 2*w - 7]', '[673, 673, -w^3 + w^2 + 6*w - 2]', '[683, 683, 2*w^3 - 8*w^2 + w + 8]', '[683, 683, 5*w^3 - 12*w^2 - 19*w + 14]', '[701, 701, -2*w^3 + 6*w^2 + 5*w - 4]', '[709, 709, -w^2 + 3*w - 4]', '[709, 709, -2*w^3 + 5*w^2 + 9*w - 8]', '[719, 719, w^2 - 7]', '[719, 719, -2*w^3 + 3*w^2 + 8*w + 5]', '[733, 733, -2*w^3 + 7*w^2 + 3*w - 10]', '[739, 739, 4*w^3 - 11*w^2 - 13*w + 14]', '[739, 739, -5*w^3 + 10*w^2 + 21*w - 4]', '[739, 739, 3*w^3 - 8*w^2 - 6*w + 8]', '[739, 739, -w^3 + w^2 + 8*w - 5]', '[743, 743, -w - 5]', '[743, 743, w^3 - w^2 - 8*w - 8]', '[751, 751, -2*w^3 + 5*w^2 + 8*w - 2]', '[751, 751, -2*w^3 + 6*w^2 - 1]', '[757, 757, -2*w^3 + 6*w^2 + 3*w - 10]', '[757, 757, 5*w^2 - 9*w - 22]', '[761, 761, -2*w^3 + 4*w^2 + 9*w - 7]', '[761, 761, 2*w^3 - 3*w^2 - 12*w - 1]', '[769, 769, 5*w^3 - 13*w^2 - 14*w + 10]', '[773, 773, -3*w^3 + 5*w^2 + 16*w + 1]', '[773, 773, w^3 - 11*w + 2]', '[787, 787, -w^3 + 4*w^2 - w - 11]', '[797, 797, -5*w^3 + 12*w^2 + 17*w - 11]', '[809, 809, -2*w^3 + 7*w^2 + 4*w - 11]', '[809, 809, 4*w^3 - 9*w^2 - 14*w + 4]', '[821, 821, -w^3 + 5*w^2 - 2*w - 17]', '[827, 827, -3*w^3 + 8*w^2 + 9*w - 7]', '[829, 829, 2*w^3 - 6*w^2 - 5*w + 2]', '[829, 829, -w^3 + 4*w^2 - w - 10]', '[839, 839, w^2 - 8]', '[853, 853, -5*w^3 + 12*w^2 + 18*w - 16]', '[853, 853, w^3 - 6*w - 8]', '[863, 863, 5*w^3 - 11*w^2 - 19*w + 7]', '[881, 881, -3*w^3 + 9*w^2 + 9*w - 11]', '[907, 907, -w^3 + 2*w^2 + 7*w - 4]', '[907, 907, -2*w^3 + 3*w^2 + 7*w + 4]', '[929, 929, -w^3 + 5*w^2 - 3*w - 11]', '[937, 937, 2*w^3 - 5*w^2 - 6*w + 11]', '[937, 937, -2*w^3 + 6*w^2 + 3*w - 11]', '[941, 941, -3*w^3 + 8*w^2 + 11*w - 8]', '[953, 953, -4*w^3 + 10*w^2 + 10*w - 13]', '[953, 953, w^3 - 5*w^2 - w + 13]', '[967, 967, 3*w^3 - 7*w^2 - 9*w + 7]', '[967, 967, -2*w^3 + 5*w^2 + 8*w + 1]', '[967, 967, 4*w^3 - 13*w^2 - 6*w + 20]', '[967, 967, -2*w^2 + 3*w + 13]', '[971, 971, -6*w^3 + 13*w^2 + 25*w - 8]', '[977, 977, w^3 - w^2 - 4*w - 10]', '[977, 977, 2*w^3 - 6*w^2 - 7*w + 13]', '[983, 983, -4*w^3 + 10*w^2 + 11*w - 13]', '[983, 983, -w^3 + 5*w^2 - w - 7]', '[983, 983, 3*w^3 - 9*w^2 - 7*w + 19]', '[983, 983, -2*w^3 + 3*w^2 + 10*w - 1]', '[997, 997, 5*w^3 - 12*w^2 - 17*w + 13]', '[997, 997, -2*w^3 + 3*w^2 + 13*w - 4]', '[997, 997, w^3 - 7*w - 2]', '[997, 997, w^3 - 9*w - 2]']}
• 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[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, 2, -5, -2, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 14272, 'disc_rad': 446, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 59.732738092272314, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.14272.1', 'local_algs': ['2.2.2.6a1.3', 'm223.1.1.0', 'm223.1.1.0', 'm223.2.1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 223], 'rd': 10.9300263579, 'regulator': {'__RealLiteral__': 0, 'data': '7.18154846973', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 3, 'used_grh': False}