Hilbert modular form data - 4.4.13968.1-13.2-a

Formats: - HTML - YAML - JSON - 2026-03-18T22:43:30.515455

• 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': 1, 'disc': 13968, 'field_bad_primes': [2, 3, 97], 'field_label': '4.4.13968.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.13968.1-13.2-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [13], 'level_ideal': '[13,13,-1/2*w^3 + 1/2*w^2 + 3*w - 1]', '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,-1/2*w^3 + 1/2*w^2 + 3*w - 1]', -1]], 'hecke_eigenvalues': [1, 1, 2, -4, 1, -2, 4, -4, 2, -12, 0, -14, -10, 2, 10, -6, 6, 14, -4, -18, 8, -16, -10, 10, 4, -10, -18, 4, -12, -12, -10, 2, -12, 0, 0, 0, -8, 16, -8, 12, 18, -2, 12, 18, 4, 10, 10, -2, -2, -24, 2, 8, 0, -20, 16, 6, 24, 0, 12, -18, 18, 12, -24, -30, -18, -16, 20, 24, -6, -36, -24, -18, 18, 12, 0, -2, 4, -40, -16, -28, -16, 2, -16, 4, 28, 32, -22, -6, 26, 8, -36, 26, -4, -4, 2, -30, -34, 32, 36, 6, -14, -32, -2, 40, -32, 40, 4, 4, -38, 28, -44, -34, -2, 10, 20, 40, 42, 12, -2, -26, 28, 36, -18, 6, -22, -4, -18, 0, -30, -2, -50, 8, 14, -6, 18, 6, 6, 34, -8, -6, 30, -40, -16, -32, -32, 24, 18, 20, -10, 6, 6, -26, -14, -50, 32, 26, 52], 'hecke_polynomial': 'x', 'label': '4.4.13968.1-13.2-a'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 13968, 'ideals': ['[1, 1, 1]', '[2, 2, 1/2*w^2 + 1/2*w - 1]', '[2, 2, -1/2*w^2 + 3/2*w]', '[4, 2, w]', '[4, 2, -1/2*w^2 + 1/2*w + 3]', '[4, 2, -1/2*w^3 + w^2 + 7/2*w - 4]', '[8, 2, -1/2*w^3 + 1/2*w^2 + 3*w - 2]', '[8, 2, -1/2*w^3 + w^2 + 5/2*w - 1]', '[8, 4, w + 1]', '[8, 4, -w + 2]', '[9, 3, -1/2*w^2 + 1/2*w + 2]', '[13, 13, 1/2*w^3 - w^2 - 5/2*w + 2]', '[13, 13, -1/2*w^3 + 1/2*w^2 + 3*w - 1]', '[16, 2, 2]', '[16, 4, -1/2*w^3 + 1/2*w^2 + 4*w + 2]', '[16, 4, -1/2*w^3 + 1/2*w^2 + 3*w]', '[16, 4, -1/2*w^3 + w^2 + 5/2*w - 3]', '[16, 4, 1/2*w^3 - w^2 - 7/2*w + 6]', '[18, 6, -1/2*w^3 + 5/2*w - 1]', '[18, 6, -1/2*w^3 + 3/2*w^2 + w - 1]', '[23, 23, 1/2*w^3 - w^2 - 5/2*w]', '[23, 23, -1/2*w^3 + 1/2*w^2 + 3*w - 3]', '[26, 26, 1/2*w^3 - 3/2*w^2 - 3*w + 5]', '[26, 26, -1/2*w^2 + 3/2*w + 2]', '[26, 26, 1/2*w^2 + 1/2*w - 3]', '[26, 26, -1/2*w^3 + 9/2*w + 1]', '[32, 4, 1/2*w^3 - 3/2*w^2 - 2*w + 6]', '[32, 4, w^2 + w - 2]', '[32, 4, -1/2*w^3 + 7/2*w + 3]', '[32, 4, -w^2 + 3*w]', '[32, 8, -1/2*w^3 + w^2 + 7/2*w - 2]', '[32, 8, -1/2*w^3 + 1/2*w^2 + 4*w - 2]', '[36, 6, -1/2*w^2 + 1/2*w + 5]', '[36, 6, -1/2*w^3 + 1/2*w^2 + 2*w]', '[36, 6, -w^3 + 2*w^2 + 6*w - 7]', '[37, 37, 1/2*w^3 - 1/2*w^2 - 3*w - 3]', '[37, 37, 1/2*w^3 - w^2 - 5/2*w + 6]', '[46, 46, -1/2*w^2 - 1/2*w - 1]', '[46, 46, -1/2*w^3 + w^2 + 3/2*w - 1]', '[46, 46, 1/2*w^3 - 1/2*w^2 - 2*w + 1]', '[46, 46, 1/2*w^2 - 3/2*w + 2]', '[52, 26, -w - 3]', '[52, 26, 1/2*w^2 - 5/2*w + 1]', '[52, 26, -w^2 + 3]', '[52, 26, w^2 - 2*w - 2]', '[52, 26, 1/2*w^2 + 3/2*w - 1]', '[52, 26, -w + 4]', '[59, 59, -1/2*w^3 + 7/2*w]', '[59, 59, -1/2*w^3 + 3/2*w^2 + 2*w - 3]', '[61, 61, -w^3 + 2*w^2 + 7*w - 7]', '[61, 61, w^3 - w^2 - 6*w + 3]', '[61, 61, w^3 - 2*w^2 - 5*w + 3]', '[61, 61, w^3 - w^2 - 8*w + 1]', '[64, 4, 2*w]', '[64, 4, -w^2 + w + 6]', '[64, 4, -w^3 + 2*w^2 + 7*w - 8]', '[64, 8, -w^2 + 4]', '[64, 8, -1/2*w^3 + 11/2*w + 1]', '[64, 8, -w^2 + 2*w + 3]', '[64, 8, -1/2*w^3 + 3/2*w^2 + 4*w - 6]', '[71, 71, -1/2*w^3 + 1/2*w^2 + 5*w - 5]', '[71, 71, -w^3 + 3/2*w^2 + 15/2*w - 6]', '[72, 6, -1/2*w^3 + 11/2*w - 1]', '[72, 6, -1/2*w^3 + 3/2*w^2 + 4*w - 4]', '[72, 12, -1/2*w^3 + 5/2*w + 2]', '[72, 12, 1/2*w^3 - 3/2*w^2 - w + 4]', '[74, 74, 1/2*w^2 + 1/2*w - 4]', '[74, 74, -1/2*w^3 + 1/2*w^2 + 4*w - 3]', '[74, 74, 1/2*w^3 - w^2 - 7/2*w + 1]', '[74, 74, -1/2*w^2 + 3/2*w + 3]', '[81, 3, 3]', '[83, 83, -1/2*w^3 + 3/2*w^2 + 2*w - 7]', '[83, 83, 1/2*w^3 - 7/2*w - 4]', '[92, 46, 1/2*w^3 - 1/2*w^2 - 4*w + 4]', '[92, 46, -w^2 + 6]', '[92, 46, w^3 - 1/2*w^2 - 17/2*w - 1]', '[92, 46, -w^3 + 5/2*w^2 + 13/2*w - 9]', '[92, 46, w^2 - 2*w - 5]', '[92, 46, -1/2*w^3 + w^2 + 7/2*w]', '[97, 97, 2*w - 1]', '[104, 26, -1/2*w^3 + 3/2*w^2 + 2*w - 8]', '[104, 26, 1/2*w^3 - 11/2*w - 3]', '[104, 26, 1/2*w^3 - 3/2*w^2 - 4*w + 8]', '[104, 26, -1/2*w^3 + 7/2*w + 5]', '[104, 52, -w^3 + 2*w^2 + 6*w - 5]', '[104, 52, -1/2*w^3 + 3/2*w^2 + 3*w - 4]', '[104, 52, 1/2*w^3 - 9/2*w]', '[104, 52, w^3 - w^2 - 7*w + 2]', '[107, 107, 1/2*w^3 + 1/2*w^2 - 4*w - 1]', '[107, 107, 3/2*w^3 - 7/2*w^2 - 9*w + 13]', '[109, 109, -3/2*w^2 + 7/2*w + 4]', '[109, 109, 1/2*w^3 + 1/2*w^2 - 4*w - 5]', '[109, 109, -1/2*w^3 + 2*w^2 + 3/2*w - 8]', '[109, 109, 3/2*w^2 + 1/2*w - 6]', '[117, 39, 1/2*w^3 - 1/2*w^2 - 5*w + 3]', '[117, 39, -1/2*w^3 + w^2 + 9/2*w - 2]', '[118, 118, -1/2*w^3 + 3/2*w^2 + w + 1]', '[118, 118, w^3 - 9/2*w^2 + 5/2*w + 4]', '[118, 118, -w^3 - 3/2*w^2 + 7/2*w + 3]', '[118, 118, 1/2*w^3 - 5/2*w + 3]', '[121, 11, w^2 - w - 5]', '[121, 11, w^2 - w - 3]', '[122, 122, w^3 - 3/2*w^2 - 9/2*w + 9]', '[122, 122, w^3 - 1/2*w^2 - 15/2*w - 1]', '[122, 122, 1/2*w^2 + 1/2*w - 5]', '[122, 122, 1/2*w^2 - 3/2*w - 5]', '[122, 122, -1/2*w^2 - 1/2*w + 6]', '[122, 122, 1/2*w^2 - 3/2*w - 4]', '[122, 122, w^3 - 5/2*w^2 - 11/2*w + 8]', '[122, 122, w^3 - 3/2*w^2 - 9/2*w - 4]', '[128, 4, -w^3 + w^2 + 6*w - 4]', '[128, 4, -w^3 + 2*w^2 + 5*w - 2]', '[128, 8, -1/2*w^3 + 3/2*w^2 + 2*w - 2]', '[128, 8, 2*w + 2]', '[128, 8, -1/2*w^3 + 7/2*w - 1]', '[128, 8, -2*w + 4]', '[128, 16, 1/2*w^3 - w^2 - 3/2*w + 4]', '[128, 16, -1/2*w^3 + 1/2*w^2 + 2*w + 2]', '[131, 131, -w^3 + 11*w - 1]', '[131, 131, -w^3 + 3*w^2 + 8*w - 9]', '[142, 142, -w^3 + 9/2*w^2 - 9/2*w + 2]', '[142, 142, -1/2*w^3 - 1/2*w^2 + 5*w + 3]', '[142, 142, 1/2*w^3 - 2*w^2 - 5/2*w + 7]', '[142, 142, -3/2*w^3 + 3*w^2 + 13/2*w - 1]', '[144, 6, -w^2 + w + 4]', '[144, 12, -1/2*w^3 + 1/2*w^2 + 5*w]', '[144, 12, -w^3 + 8*w + 4]', '[144, 12, w^3 - 3*w^2 - 5*w + 11]', '[144, 12, -1/2*w^3 + w^2 + 9/2*w - 5]', '[148, 74, w^2 - 4*w + 1]', '[148, 74, -w^3 + 8*w + 5]', '[148, 74, 3/2*w^2 - 7/2*w - 3]', '[148, 74, -3/2*w^2 - 1/2*w + 5]', '[148, 74, -w^3 + 3*w^2 + 5*w - 12]', '[148, 74, w^2 + 2*w - 2]', '[157, 157, -w^3 + w^2 + 6*w + 1]', '[157, 157, 1/2*w^3 - 2*w^2 - 11/2*w + 4]', '[162, 6, 3/2*w^2 + 3/2*w - 3]', '[162, 6, -3/2*w^2 + 9/2*w]', '[166, 166, w^3 - 5/2*w^2 - 7/2*w + 4]', '[166, 166, 1/2*w^3 + 1/2*w^2 - 7*w - 1]', '[166, 166, 1/2*w^3 - 2*w^2 - 9/2*w + 7]', '[166, 166, w^3 - 1/2*w^2 - 11/2*w + 1]', '[167, 167, w^2 - 3*w - 3]', '[167, 167, 1/2*w^3 - 3/2*w^2 - 2*w + 1]', '[167, 167, 3/2*w^3 - 5/2*w^2 - 10*w + 9]', '[167, 167, w^2 + w - 5]', '[169, 13, w^2 - w - 9]', '[169, 13, 1/2*w^2 - 1/2*w - 6]', '[169, 169, -1/2*w^3 - 1/2*w^2 + 4*w + 3]', '[169, 169, 1/2*w^3 - 2*w^2 - 3/2*w + 6]', '[179, 179, w^3 - 7*w - 5]', '[179, 179, 1/2*w^3 + 1/2*w^2 - 2*w - 3]', '[181, 181, -1/2*w^3 + 1/2*w^2 + 3*w - 5]', '[181, 181, 1/2*w^3 - w^2 - 5/2*w - 2]', '[184, 46, 1/2*w^3 + 1/2*w^2 - 4*w - 4]', '[184, 46, 1/2*w^3 - w^2 - 9/2*w + 3]', '[184, 46, 1/2*w^3 - 2*w^2 - 3/2*w + 7]', '[184, 46, -1/2*w^3 + 1/2*w^2 + 5*w - 2]', '[184, 92, w^3 - w^2 - 9*w - 2]', '[184, 92, -1/2*w^3 + 2*w^2 + 5/2*w - 8]', '[184, 92, -1/2*w^3 - 1/2*w^2 + 5*w + 4]', '[184, 92, -w^3 + 2*w^2 + 8*w - 11]', '[191, 191, -1/2*w^3 + 3/2*w + 2]', '[191, 191, 2*w - 5]', '[191, 191, -2*w - 3]', '[191, 191, -1/2*w^3 + 2*w^2 + 3/2*w - 10]', '[193, 193, -1/2*w^3 + w^2 + 9/2*w - 4]', '[193, 193, 1/2*w^3 - 5/2*w^2 + w + 5]', '[193, 193, -1/2*w^3 - w^2 + 5/2*w + 4]', '[193, 193, 1/2*w^3 - 1/2*w^2 - 5*w + 1]', '[194, 194, w^3 + 1/2*w^2 - 5/2*w + 1]', '[194, 194, -w^3 + 7/2*w^2 - 3/2*w]', '[207, 69, 1/2*w^3 + 1/2*w^2 - 6*w - 1]', '[207, 69, -1/2*w^3 + 2*w^2 + 7/2*w - 6]', '[208, 26, w^3 - 2*w^2 - 5*w + 4]', '[208, 26, -w^3 + w^2 + 6*w - 2]', '[208, 52, 1/2*w^3 + w^2 - 5/2*w - 3]', '[208, 52, -w^2 - 2*w + 3]', '[208, 52, 1/2*w^3 - w^2 - 5/2*w + 7]', '[208, 52, -3/2*w^3 + 3*w^2 + 17/2*w - 12]', '[208, 52, 3/2*w^3 - 3/2*w^2 - 10*w - 2]', '[208, 52, 1/2*w^3 - 1/2*w^2 - 3*w - 4]', '[208, 52, 1/2*w^3 - 5/2*w^2 + w + 4]', '[208, 52, -w^2 + 4*w]', '[214, 214, 1/2*w^3 - 3/2*w^2 - 5*w + 3]', '[214, 214, -1/2*w^2 - 1/2*w - 2]', '[214, 214, -1/2*w^2 + 3/2*w - 3]', '[214, 214, 1/2*w^3 - 13/2*w + 3]', '[218, 218, -1/2*w^3 + 9/2*w - 1]', '[218, 218, w^3 - 3/2*w^2 - 13/2*w]', '[218, 218, -1/2*w^3 - 1/2*w^2 + 5*w + 1]', '[218, 218, 1/2*w^3 - 5/2*w - 3]', '[218, 218, 1/2*w^3 - 3/2*w^2 - w + 5]', '[218, 218, 2*w^3 - 9/2*w^2 - 25/2*w + 17]', '[218, 218, -w^3 + 3/2*w^2 + 13/2*w - 7]', '[218, 218, 1/2*w^3 - 3/2*w^2 - 3*w + 3]', '[227, 227, -1/2*w^3 + 3/2*w^2 + 4*w - 9]', '[227, 227, w^3 - 2*w^2 - 7*w + 5]', '[227, 227, w^3 - w^2 - 8*w + 3]', '[227, 227, 1/2*w^3 - 11/2*w - 4]', '[234, 78, w^3 - 3/2*w^2 - 13/2*w + 8]', '[234, 78, -1/2*w^3 + 1/2*w^2 + 2*w + 3]', '[234, 78, -1/2*w^3 + w^2 + 3/2*w - 5]', '[234, 78, -w^3 + 3/2*w^2 + 13/2*w + 1]', '[236, 118, -w^2 + 7]', '[236, 118, -w^3 + 3/2*w^2 + 15/2*w - 1]', '[236, 118, 3/2*w^3 - 4*w^2 - 15/2*w + 16]', '[236, 118, -w^3 + 4*w + 2]', '[236, 118, -w^3 + 3/2*w^2 + 15/2*w - 7]', '[236, 118, 1/2*w^3 - 3/2*w^2 + w + 2]', '[239, 239, 1/2*w^3 - 3/2*w^2 - 4*w + 3]', '[239, 239, 1/2*w^3 - 11/2*w + 2]', '[242, 22, w^3 - 1/2*w^2 - 11/2*w + 3]', '[242, 22, w^3 + 1/2*w^2 - 9/2*w + 1]', '[242, 22, w^3 - 7/2*w^2 - 1/2*w + 2]', '[242, 22, w^3 - 5/2*w^2 - 7/2*w + 2]', '[244, 122, w + 4]', '[244, 122, -3*w^3 + 11/2*w^2 + 39/2*w - 19]', '[244, 122, -1/2*w^3 + 3/2*w^2 + 3*w - 10]', '[244, 122, -3/2*w^2 - 5/2*w + 3]', '[244, 122, w^3 - w^2 - 5*w + 4]', '[244, 122, w^3 - w^2 - 7*w - 4]', '[244, 122, 7/2*w^3 - 9*w^2 - 41/2*w + 42]', '[244, 122, w^3 - 2*w^2 - 4*w + 1]', '[244, 122, 3/2*w^2 - 11/2*w + 1]', '[244, 122, 1/2*w^3 - 9/2*w - 6]', '[244, 122, 3*w^3 - 7/2*w^2 - 43/2*w + 3]', '[244, 122, -1/2*w^3 + 3*w^2 + 3/2*w - 20]', '[251, 251, 1/2*w^3 - w^2 - 1/2*w - 2]', '[251, 251, -1/2*w^3 + 1/2*w^2 + w - 3]', '[256, 4, 4]', '[256, 8, -w^3 + w^2 + 8*w + 4]', '[256, 8, -w^3 + w^2 + 6*w]', '[256, 8, -w^3 + 2*w^2 + 5*w - 6]', '[256, 8, w^3 - 2*w^2 - 7*w + 12]', '[256, 16, -1/2*w^3 + 1/2*w^2 + 6*w - 6]', '[256, 16, -1/2*w^3 + 2*w^2 - 1/2*w + 1]', '[256, 16, 1/2*w^3 - 3/2*w^2 - 2*w + 10]', '[256, 16, -1/2*w^3 + w^2 + 11/2*w]', '[262, 262, -3/2*w^2 + 5/2*w + 7]', '[262, 262, -w^3 + 3/2*w^2 + 17/2*w - 1]', '[262, 262, -w^3 + 3/2*w^2 + 17/2*w - 8]', '[262, 262, -3/2*w^2 + 1/2*w + 8]', '[263, 263, -1/2*w^3 - w^2 + 17/2*w]', '[263, 263, 1/2*w^3 - 5/2*w^2 - 5*w + 7]', '[277, 277, w^3 - w^2 - 6*w + 1]', '[277, 277, -w^3 + 2*w^2 + 5*w - 5]', '[284, 142, 5/2*w^3 - 6*w^2 - 33/2*w + 30]', '[284, 142, -2*w^3 + 9/2*w^2 + 23/2*w - 15]', '[284, 142, 1/2*w^3 - w^2 - 11/2*w + 10]', '[284, 142, -1/2*w^3 + 3/2*w^2 - w + 2]', '[284, 142, -w^3 + 5/2*w^2 + 9/2*w - 5]', '[284, 142, -1/2*w^3 + 1/2*w^2 + 2*w + 4]', '[288, 12, -w^3 + 5*w - 2]', '[288, 12, 1/2*w^3 - 3/2*w^2 - 4*w + 10]', '[288, 12, -w^3 + 3*w^2 + 2*w - 2]', '[288, 12, -1/2*w^3 + 11/2*w + 5]', '[288, 24, -w^3 + w^2 + 7*w - 3]', '[288, 24, -w^3 + 2*w^2 + 6*w - 4]', '[296, 74, 1/2*w^3 + 1/2*w^2 - 4*w]', '[296, 74, -1/2*w^3 + w^2 + 1/2*w - 3]', '[296, 74, -1/2*w^3 + 2*w^2 + 3/2*w - 3]', '[296, 74, -1/2*w^3 + 1/2*w^2 + w + 2]', '[296, 148, 1/2*w^3 - 9/2*w + 4]', '[296, 148, -3*w - 2]', '[296, 148, -3*w + 5]', '[296, 148, -1/2*w^3 + 3/2*w^2 + 3*w]', '[299, 299, -w^3 + 2*w^2 + 5*w - 1]', '[299, 299, -w^3 + 5/2*w^2 + 9/2*w - 10]', '[299, 299, w^3 - 1/2*w^2 - 13/2*w - 4]', '[299, 299, -w^3 + w^2 + 6*w - 5]', '[311, 311, -w^3 + 5/2*w^2 + 13/2*w - 8]', '[311, 311, -w^3 + 1/2*w^2 + 17/2*w]', '[314, 314, -5/2*w^2 + 15/2*w + 4]', '[314, 314, 1/2*w^3 + 1/2*w^2 - 3*w - 5]', '[314, 314, -w^3 - 1/2*w^2 + 9/2*w + 3]', '[314, 314, w^3 - 3/2*w^2 - 17/2*w - 1]', '[324, 6, 3*w]', '[324, 6, -3/2*w^2 + 3/2*w + 9]', '[324, 6, -3/2*w^3 + 3*w^2 + 21/2*w - 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2*w - 10]', '[1936, 22, 2*w^2 - 2*w - 6]', '[1936, 44, 3/2*w^3 - 3/2*w^2 - 13*w]', '[1936, 44, 3/2*w^3 + 1/2*w^2 - 12*w - 6]', '[1936, 44, 5/2*w^3 - 1/2*w^2 - 20*w - 10]', '[1936, 44, 1/2*w^3 - 1/2*w^2 - 7*w]', '[1936, 44, 1/2*w^3 - w^2 - 13/2*w + 7]', '[1936, 44, -5/2*w^3 + 7*w^2 + 27/2*w - 28]', '[1936, 44, 3/2*w^3 - 3*w^2 - 23/2*w + 13]', '[1936, 44, -3/2*w^3 + 5*w^2 + 13/2*w - 16]', '[1952, 244, 2*w^3 - 3*w^2 - 9*w + 18]', '[1952, 244, -11/2*w^3 + 25/2*w^2 + 34*w - 50]', '[1952, 244, 5/2*w^3 - 3/2*w^2 - 22*w - 10]', '[1952, 244, 2*w^3 - w^2 - 15*w - 2]', '[1952, 244, 3/2*w^3 - 5/2*w^2 - 10*w + 2]', '[1952, 244, w^2 + w - 10]', '[1952, 244, 7/2*w^3 - 13/2*w^2 - 22*w + 18]', '[1952, 244, w^2 - 3*w - 10]', '[1952, 244, -7/2*w^3 + 4*w^2 + 49/2*w - 7]', '[1952, 244, -w^2 - w + 12]', '[1952, 244, w^2 - 3*w - 8]', '[1952, 244, 3/2*w^3 - 2*w^2 - 21/2*w + 9]', '[1952, 244, 2*w^3 - 5*w^2 - 11*w + 16]', '[1952, 244, -5/2*w^3 + 6*w^2 + 35/2*w - 31]', '[1952, 244, 2*w^3 - 3*w^2 - 9*w - 8]', '[1952, 244, 11/2*w^3 - 4*w^2 - 85/2*w - 9]', '[1952, 488, -1/2*w^3 + 5/2*w^2 - 18]', '[1952, 488, 2*w^3 - w^2 - 14*w - 8]', '[1952, 488, 3/2*w^3 - 5*w^2 - 13/2*w + 28]', '[1952, 488, 3/2*w^3 + w^2 - 29/2*w - 18]', '[1952, 488, 3/2*w^3 - 11/2*w^2 - 8*w + 30]', '[1952, 488, 3/2*w^3 + 1/2*w^2 - 12*w - 18]', '[1952, 488, -2*w^3 + 5*w^2 + 10*w - 21]', '[1952, 488, w^3 - 3*w^2 + w - 3]', '[1962, 654, -w^3 + 5/2*w^2 + 11/2*w - 3]', '[1962, 654, 3/2*w^3 - 1/2*w^2 - 13*w - 1]', '[1962, 654, -w^3 + 5/2*w^2 + 11/2*w]', '[1962, 654, 1/2*w^2 - 7/2*w - 5]', '[1962, 654, -1/2*w^2 - 5/2*w + 8]', '[1962, 654, 7/2*w^3 - 7*w^2 - 45/2*w + 29]', '[1962, 654, -3/2*w^3 + 4*w^2 + 19/2*w - 13]', '[1962, 654, w^3 - 1/2*w^2 - 15/2*w + 4]', '[1966, 1966, 5/2*w^3 - 17/2*w^2 + 5]', '[1966, 1966, 3/2*w^2 - 13/2*w]', '[1966, 1966, -3/2*w^2 - 7/2*w + 5]', '[1966, 1966, 5/2*w^3 + w^2 - 19/2*w + 1]', '[1979, 1979, 5/2*w^3 - 5*w^2 - 25/2*w + 6]', '[1979, 1979, 5/2*w^3 - 5/2*w^2 - 15*w + 9]', '[1994, 1994, 2*w^3 - 7/2*w^2 - 31/2*w + 20]', '[1994, 1994, 2*w^3 - 13/2*w^2 - 5/2*w + 6]', '[1994, 1994, 3/2*w^3 - 7/2*w^2 - 6*w + 1]', '[1994, 1994, -w^3 - 1/2*w^2 + 13/2*w + 8]', '[1994, 1994, -w^3 + 7/2*w^2 + 5/2*w - 13]', '[1994, 1994, 3/2*w^3 - w^2 - 17/2*w + 7]', '[1994, 1994, 2*w^3 + 1/2*w^2 - 19/2*w + 1]', '[1994, 1994, -2*w^3 + 5/2*w^2 + 33/2*w + 3]', '[2003, 2003, 1/2*w^3 - 3*w^2 - 5/2*w + 18]', '[2003, 2003, 1/2*w^3 - 2*w^2 + 5/2*w + 4]', '[2008, 502, -1/2*w^3 + 3*w^2 + 5/2*w - 11]', '[2008, 502, 1/2*w^3 - 3/2*w^2 - 6*w + 4]', '[2008, 502, 1/2*w^3 + 3/2*w^2 - 7*w - 6]', '[2008, 502, 1/2*w^3 - 15/2*w + 3]', '[2008, 1004, 3/2*w^3 - 1/2*w^2 - 15*w - 4]', '[2008, 1004, -w^3 + 4*w^2 + 2*w - 11]', '[2008, 1004, w^3 + w^2 - 7*w - 6]', '[2008, 1004, 1/2*w^3 + 2*w^2 - 13/2*w - 4]', '[2012, 1006, -w^3 + 2*w^2 + 2*w + 5]', '[2012, 1006, -3/2*w^3 + 9/2*w^2 + 7*w - 22]', '[2012, 1006, w^3 - 3*w^2 - 7*w + 8]', '[2012, 1006, -5/2*w^3 + 2*w^2 + 37/2*w]', '[2012, 1006, w^3 - 1/2*w^2 - 5/2*w + 7]', '[2012, 1006, -7/2*w^2 - 9/2*w + 7]', '[2012, 1006, 7/2*w^2 - 23/2*w + 1]', '[2012, 1006, -w^3 + 5/2*w^2 + 1/2*w + 5]', '[2012, 1006, -5/2*w^3 + 11/2*w^2 + 15*w - 18]', '[2012, 1006, w^3 - 10*w + 1]', '[2012, 1006, 3/2*w^3 - 23/2*w - 12]', '[2012, 1006, w^3 - w^2 - 3*w + 8]', '[2017, 2017, -2*w + 9]', '[2017, 2017, -2*w - 7]', '[2018, 2018, -1/2*w^3 - 1/2*w^2 + 3*w + 11]', '[2018, 2018, 5/2*w^3 - 9/2*w^2 - 16*w + 19]', '[2018, 2018, 3/2*w^3 - 2*w^2 - 11/2*w + 15]', '[2018, 2018, -1/2*w^3 + 2*w^2 + 1/2*w - 13]', '[2027, 2027, 1/2*w^3 - 5*w^2 - 9/2*w + 22]', '[2027, 2027, -5/2*w^3 + 11/2*w^2 + 16*w - 19]', '[2029, 2029, -1/2*w^3 - 1/2*w - 8]', '[2029, 2029, -1/2*w^3 + 3/2*w^2 + 6*w - 7]', '[2029, 2029, 1/2*w^3 - 15/2*w]', '[2029, 2029, -w^3 - w^2 + 8*w + 5]', '[2038, 2038, -1/2*w^3 + 3/2*w^2 + 3*w + 3]', '[2038, 2038, -2*w^3 + 7/2*w^2 + 23/2*w - 7]', '[2038, 2038, -w^3 + 9/2*w^2 - 1/2*w - 9]', '[2038, 2038, -3/2*w^3 + 3/2*w^2 + 10*w + 7]', '[2038, 2038, 3/2*w^3 - 3*w^2 - 17/2*w + 17]', '[2038, 2038, w^3 - 5/2*w^2 - 15/2*w + 18]', '[2038, 2038, 2*w^3 - 5/2*w^2 - 25/2*w + 6]', '[2038, 2038, 2*w^3 - 11/2*w^2 - 23/2*w + 29]', '[2041, 2041, -3/2*w^3 + 3/2*w^2 + 13*w + 7]', '[2041, 2041, -3/2*w^3 + 5/2*w^2 + 8*w - 15]', '[2041, 2041, 3/2*w^3 - 2*w^2 - 17/2*w - 6]', '[2041, 2041, -3*w^2 + w + 17]', '[2042, 2042, 1/2*w^3 + w^2 - 15/2*w + 1]', '[2042, 2042, -w^3 - 1/2*w^2 + 9/2*w + 5]', '[2042, 2042, -w^3 + 7/2*w^2 + 1/2*w - 8]', '[2042, 2042, -1/2*w^3 + 5/2*w^2 + 4*w - 5]', '[2043, 681, -3/2*w^3 + 4*w^2 + 13/2*w - 16]', '[2043, 681, 2*w^3 - 5/2*w^2 - 27/2*w + 8]', '[2043, 681, 2*w^3 - 7/2*w^2 - 25/2*w + 6]', '[2043, 681, 3/2*w^3 - 1/2*w^2 - 10*w - 7]', '[2048, 8, -2*w^3 + 2*w^2 + 12*w - 8]', '[2048, 8, -2*w^3 + 4*w^2 + 10*w - 4]', '[2048, 16, -w^3 + 3*w^2 + 4*w - 4]', '[2048, 16, 4*w + 4]', '[2048, 16, -w^3 + 7*w - 2]', '[2048, 16, -4*w + 8]', '[2048, 32, 3/2*w^3 - 9/2*w^2 - 10*w + 22]', '[2048, 32, w^3 - 2*w^2 - 3*w + 8]', '[2048, 32, -w^3 + w^2 + 4*w + 4]', '[2048, 32, -3/2*w^3 + 29/2*w + 9]', '[2048, 64, -3/2*w^3 + w^2 + 25/2*w - 2]', '[2048, 64, -3/2*w^3 + 7/2*w^2 + 10*w - 10]', '[2063, 2063, -2*w^3 + 3/2*w^2 + 25/2*w + 6]', '[2063, 2063, 2*w^3 - 9/2*w^2 - 19/2*w + 18]', '[2066, 2066, w^3 - 3/2*w^2 - 5/2*w - 3]', '[2066, 2066, w^3 + 1/2*w^2 - 13/2*w + 1]', '[2066, 2066, w^3 - 7/2*w^2 - 5/2*w + 4]', '[2066, 2066, -w^3 + 3/2*w^2 + 5/2*w - 6]', '[2087, 2087, -1/2*w^3 + 3/2*w^2 - 7]', '[2087, 2087, 1/2*w^3 + w^2 - 5/2*w - 8]', '[2087, 2087, -1/2*w^3 + 5/2*w^2 - w - 9]', '[2087, 2087, 1/2*w^3 - 3/2*w - 6]', '[2089, 2089, 5/2*w^3 - 6*w^2 - 15/2*w + 2]', '[2089, 2089, 5/2*w^3 - 3/2*w^2 - 12*w + 9]', '[2096, 262, -2*w^3 + 22*w - 2]', '[2096, 262, -2*w^3 + 6*w^2 + 16*w - 18]', '[2096, 524, -5/2*w^3 + 9/2*w^2 + 17*w - 12]', '[2096, 524, 3/2*w^3 - 11/2*w^2 - 2*w + 14]', '[2096, 524, -3/2*w^3 + 3/2*w^2 + 10*w - 6]', '[2096, 524, 3/2*w^3 - 7/2*w^2 - 7*w + 16]', '[2096, 524, -3/2*w^3 + 3*w^2 + 17/2*w - 4]', '[2096, 524, -3/2*w^3 + w^2 + 19/2*w + 7]', '[2096, 524, -3/2*w^3 - w^2 + 17/2*w + 8]', '[2096, 524, -5/2*w^3 + 3*w^2 + 37/2*w - 7]', '[2099, 2099, -3/2*w^3 + 3*w^2 + 19/2*w - 6]', '[2099, 2099, -w^3 + w - 9]', '[2099, 2099, -w^3 + 3*w^2 - 2*w + 9]', '[2099, 2099, -3/2*w^3 + 3/2*w^2 + 11*w - 5]', '[2104, 526, -5/2*w^3 + 5*w^2 + 29/2*w - 15]', '[2104, 526, -1/2*w^3 - 1/2*w^2 + 4*w + 12]', '[2104, 526, 3/2*w^3 - 1/2*w^2 - 6*w]', '[2104, 526, -1/2*w^3 + 2*w^2 + 3/2*w - 15]', '[2104, 1052, 5/2*w^3 - 7/2*w^2 - 13*w + 16]', '[2104, 1052, 3*w^3 - 6*w^2 - 18*w + 23]', '[2104, 1052, -3/2*w^3 + 5/2*w^2 + 5*w]', '[2104, 1052, -5/2*w^3 + 4*w^2 + 25/2*w + 2]', '[2106, 78, 3/2*w^3 - 9/2*w^2 - 9*w + 15]', '[2106, 78, -3/2*w^2 + 9/2*w + 6]', '[2106, 78, 3/2*w^2 + 3/2*w - 9]', '[2106, 78, -3/2*w^3 + 27/2*w + 3]', '[2111, 2111, w^2 + w - 11]', '[2111, 2111, w^2 - 3*w - 9]', '[2113, 2113, 3/2*w^3 - 5*w^2 - 11/2*w + 16]', '[2113, 2113, -3/2*w^3 - 1/2*w^2 + 11*w + 7]', '[2116, 46, 5/2*w^2 - 5/2*w - 21]', '[2116, 46, 3/2*w^3 - 3/2*w^2 - 8*w]', '[2116, 46, 2*w^3 - 2*w^2 - 13*w]', '[2116, 46, 1/2*w^2 - 1/2*w - 9]', '[2116, 46, 2*w^3 - 4*w^2 - 11*w + 13]', '[2116, 46, 4*w^3 - 8*w^2 - 25*w + 29]', '[2116, 1058, -1/2*w^3 + 1/2*w^2 + 2*w + 8]', '[2116, 1058, 1/2*w^3 - 7/2*w^2 + 3*w + 6]', '[2116, 1058, -2*w^3 + 9/2*w^2 + 19/2*w - 11]', '[2116, 1058, -2*w^3 + 3/2*w^2 + 25/2*w - 1]', '[2116, 1058, -1/2*w^3 - 2*w^2 + 5/2*w + 6]', '[2116, 1058, 1/2*w^3 - w^2 - 3/2*w + 10]', '[2124, 354, 1/2*w^3 - 2*w^2 - 1/2*w + 12]', '[2124, 354, -2*w^3 + 3/2*w^2 + 29/2*w - 1]', '[2124, 354, 2*w^3 - 5*w^2 - 14*w + 27]', '[2124, 354, -2*w^3 + 9/2*w^2 + 23/2*w - 13]', '[2124, 354, 1/2*w^3 + 1/2*w^2 + 3*w + 2]', '[2124, 354, -w^3 + 2*w^2 + 2]', '[2151, 717, 3/2*w^3 - w^2 - 19/2*w + 4]', '[2151, 717, 3/2*w^3 - 7/2*w^2 - 7*w + 5]', '[2158, 2158, 3/2*w^3 + 1/2*w^2 - 14*w - 9]', '[2158, 2158, 1/2*w^2 + 1/2*w - 10]', '[2158, 2158, -2*w^3 + 7/2*w^2 + 23/2*w - 12]', '[2158, 2158, -7/2*w^3 + 17/2*w^2 + 23*w - 37]', '[2158, 2158, 7/2*w^3 - 2*w^2 - 59/2*w - 9]', '[2158, 2158, 2*w^3 - 5/2*w^2 - 25/2*w + 1]', '[2158, 2158, -1/2*w^2 + 3/2*w + 9]', '[2158, 2158, 3/2*w^3 - 5*w^2 - 17/2*w + 21]', '[2164, 1082, w^3 - 4*w + 6]', '[2164, 1082, -2*w^3 + 4*w^2 + 11*w - 12]', '[2164, 1082, w^3 - 11/2*w^2 + 9/2*w + 7]', '[2164, 1082, -w^3 - 5/2*w^2 + 7/2*w + 7]', '[2164, 1082, -2*w^3 + 2*w^2 + 13*w - 1]', '[2164, 1082, -w^3 + 3*w^2 + w + 3]', '[2171, 2171, -3/2*w^3 + 11/2*w^2 + 3*w - 17]', '[2171, 2171, 1/2*w^3 - 7/2*w^2 - 6*w + 9]', '[2171, 2171, 3/2*w^3 - 1/2*w^2 - 12*w - 1]', '[2171, 2171, -w^3 + 5/2*w^2 + 1/2*w + 4]', '[2171, 2171, -w^3 + 1/2*w^2 + 5/2*w - 6]', '[2171, 2171, -3/2*w^3 + 4*w^2 + 17/2*w - 12]', '[2171, 2171, -1/2*w^3 - 2*w^2 + 23/2*w]', '[2171, 2171, w^3 - 3*w^2 - 2*w + 9]', '[2178, 66, 1/2*w^3 - 3*w^2 - 11/2*w + 7]', '[2178, 66, -1/2*w^3 - 3*w^2 - 1/2*w + 5]', '[2178, 66, -1/2*w^3 + 9/2*w^2 - 8*w - 1]', '[2178, 66, 1/2*w^3 + 3/2*w^2 - 10*w + 1]', '[2183, 2183, -2*w^3 + 11/2*w^2 + 25/2*w - 20]', '[2183, 2183, -2*w^3 + w^2 + 11*w - 5]', '[2183, 2183, 2*w^3 - 5*w^2 - 7*w + 5]', '[2183, 2183, 2*w^3 - 1/2*w^2 - 35/2*w - 4]', '[2186, 2186, 2*w^3 + 3/2*w^2 - 9/2*w + 5]', '[2186, 2186, w^3 - 5/2*w^2 - 7/2*w + 11]', '[2186, 2186, -w^3 + 1/2*w^2 + 11/2*w + 6]', '[2186, 2186, -2*w^3 + 15/2*w^2 - 9/2*w + 4]', '[2196, 366, -1/2*w^3 - 3/2*w^2 + 4*w + 8]', '[2196, 366, -5*w^3 + 19/2*w^2 + 67/2*w - 33]', '[2196, 366, -w^3 + 4*w^2 + 4*w - 18]', '[2196, 366, 2*w^3 - 1/2*w^2 - 19/2*w + 3]', '[2196, 366, 1/2*w^3 - 5/2*w^2 - 6*w + 8]', '[2196, 366, 3/2*w^3 + 1/2*w^2 - 14*w - 8]', '[2196, 366, 6*w^3 - 16*w^2 - 35*w + 73]', '[2196, 366, 1/2*w^3 + w^2 - 19/2*w]', '[2196, 366, 2*w^3 - 11/2*w^2 - 9/2*w + 5]', '[2196, 366, w^3 + w^2 - 9*w - 11]', '[2196, 366, 5*w^3 - 11/2*w^2 - 75/2*w + 5]', '[2196, 366, -w^3 + 6*w^2 + 2*w - 35]', '[2197, 13, 3/2*w^3 - w^2 - 15/2*w + 2]', '[2197, 13, -3/2*w^3 + 7/2*w^2 + 5*w - 5]', '[2197, 169, -3/2*w^3 + 4*w^2 + 5/2*w - 4]', '[2197, 169, 3/2*w^3 - 1/2*w^2 - 6*w + 1]', '[2197, 2197, w^3 - 1/2*w^2 - 21/2*w]', '[2197, 2197, -w^3 + 5/2*w^2 + 17/2*w - 10]', '[2209, 47, 2*w^2 - 2*w - 7]', '[2209, 47, 2*w^2 - 2*w - 9]', '[2216, 554, -1/2*w^3 + 1/2*w^2 - w - 10]', '[2216, 554, 3/2*w^3 - 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23]', '[9971, 9971, -w^3 - 1/2*w^2 + 31/2*w - 16]', '[9971, 9971, -w^3 - w^2 + 10*w - 1]', '[9971, 9971, -w^3 + 4*w^2 + 5*w - 7]', '[9971, 9971, -w^3 + 7/2*w^2 + 23/2*w + 2]', '[9972, 1662, -w^3 + 4*w^2 + 4*w - 27]', '[9972, 1662, 4*w^3 - 9/2*w^2 - 55/2*w + 5]', '[9972, 1662, 4*w^3 - 10*w^2 - 25*w + 51]', '[9972, 1662, 1/2*w^3 - 5/2*w^2 - 6*w - 4]', '[9972, 1662, -4*w^3 + 15/2*w^2 + 49/2*w - 23]', '[9972, 1662, -1/2*w^3 + 5/2*w^2 + 4]', '[9973, 9973, 1/2*w^3 + 5/2*w^2 - 4*w - 11]', '[9973, 9973, 3*w^3 - 7*w^2 - 16*w + 37]', '[9973, 9973, -3*w^3 + 2*w^2 + 21*w + 17]', '[9973, 9973, -1/2*w^3 + 4*w^2 - 5/2*w - 12]', '[9986, 9986, -w^3 - 5/2*w^2 + 41/2*w - 6]', '[9986, 9986, -5/2*w^3 + 3/2*w^2 + 21*w - 1]', '[9986, 9986, -5/2*w^3 + 6*w^2 + 33/2*w - 19]', '[9986, 9986, -w^3 + 11/2*w^2 + 25/2*w - 11]', '[9992, 2498, 7/2*w^3 - 1/2*w^2 - 22*w - 4]', '[9992, 2498, 9/2*w^3 - 6*w^2 - 55/2*w - 7]', '[9992, 2498, -3/2*w^3 + 13/2*w^2 + 12*w - 28]', '[9992, 2498, -5/2*w^3 + 9*w^2 + 5/2*w - 19]', '[9992, 2498, -3/2*w^3 + 11/2*w^2 + 5*w - 26]', '[9992, 2498, 1/2*w^3 - 4*w^2 - 15/2*w + 7]', '[9992, 2498, 9/2*w^3 - 15/2*w^2 - 26*w + 36]', '[9992, 2498, 7/2*w^3 - 10*w^2 - 25/2*w + 23]', '[9992, 4996, 3/2*w^3 - 5/2*w^2 - 3*w - 4]', '[9992, 4996, w^3 + w^2 - 17*w + 18]', '[9992, 4996, 3*w^3 - 3*w^2 - 23*w + 6]', '[9992, 4996, -3/2*w^3 + 5/2*w^2 + 19*w - 28]', '[9992, 4996, 3/2*w^3 - 2*w^2 - 39/2*w - 8]', '[9992, 4996, 1/2*w^3 - 4*w^2 - 5/2*w + 6]', '[9992, 4996, w^3 + 2*w^2 - 16*w - 1]', '[9992, 4996, -3/2*w^3 + 2*w^2 + 7/2*w - 8]', '[9997, 9997, 5/2*w^3 - 5*w^2 - 37/2*w + 18]', '[9997, 9997, -3*w^3 + 13/2*w^2 + 29/2*w - 22]', '[9997, 9997, 3*w^3 - 5/2*w^2 - 37/2*w - 4]', '[9997, 9997, -5/2*w^3 + 5/2*w^2 + 21*w - 3]', '[10000, 10, 10]', '[10000, 20, 5/2*w^3 - 5/2*w^2 - 20*w - 10]', '[10000, 20, 5/2*w^3 - 5/2*w^2 - 15*w]', '[10000, 20, 5/2*w^3 - 5*w^2 - 25/2*w + 15]', '[10000, 20, -5/2*w^3 + 5*w^2 + 35/2*w - 30]'], 'label': '4.4.13968.1', 'narrow_class_no': 2, 'primes': ['[2, 2, 1/2*w^2 + 1/2*w - 1]', '[2, 2, -1/2*w^2 + 3/2*w]', '[9, 3, -1/2*w^2 + 1/2*w + 2]', '[13, 13, 1/2*w^3 - w^2 - 5/2*w + 2]', '[13, 13, -1/2*w^3 + 1/2*w^2 + 3*w - 1]', '[23, 23, 1/2*w^3 - w^2 - 5/2*w]', '[23, 23, -1/2*w^3 + 1/2*w^2 + 3*w - 3]', '[37, 37, 1/2*w^3 - 1/2*w^2 - 3*w - 3]', '[37, 37, 1/2*w^3 - w^2 - 5/2*w + 6]', '[59, 59, -1/2*w^3 + 7/2*w]', '[59, 59, -1/2*w^3 + 3/2*w^2 + 2*w - 3]', '[61, 61, -w^3 + 2*w^2 + 7*w - 7]', '[61, 61, w^3 - w^2 - 6*w + 3]', '[61, 61, w^3 - 2*w^2 - 5*w + 3]', '[61, 61, w^3 - w^2 - 8*w + 1]', '[71, 71, -1/2*w^3 + 1/2*w^2 + 5*w - 5]', '[71, 71, -w^3 + 3/2*w^2 + 15/2*w - 6]', '[83, 83, -1/2*w^3 + 3/2*w^2 + 2*w - 7]', '[83, 83, 1/2*w^3 - 7/2*w - 4]', '[97, 97, 2*w - 1]', '[107, 107, 1/2*w^3 + 1/2*w^2 - 4*w - 1]', '[107, 107, 3/2*w^3 - 7/2*w^2 - 9*w + 13]', '[109, 109, -3/2*w^2 + 7/2*w + 4]', '[109, 109, 1/2*w^3 + 1/2*w^2 - 4*w - 5]', '[109, 109, -1/2*w^3 + 2*w^2 + 3/2*w - 8]', '[109, 109, 3/2*w^2 + 1/2*w - 6]', '[121, 11, w^2 - w - 5]', '[121, 11, w^2 - w - 3]', '[131, 131, -w^3 + 11*w - 1]', '[131, 131, -w^3 + 3*w^2 + 8*w - 9]', '[157, 157, -w^3 + w^2 + 6*w + 1]', '[157, 157, 1/2*w^3 - 2*w^2 - 11/2*w + 4]', '[167, 167, w^2 - 3*w - 3]', '[167, 167, 1/2*w^3 - 3/2*w^2 - 2*w + 1]', '[167, 167, 3/2*w^3 - 5/2*w^2 - 10*w + 9]', '[167, 167, w^2 + w - 5]', '[169, 13, w^2 - w - 9]', '[179, 179, w^3 - 7*w - 5]', '[179, 179, 1/2*w^3 + 1/2*w^2 - 2*w - 3]', '[181, 181, -1/2*w^3 + 1/2*w^2 + 3*w - 5]', '[181, 181, 1/2*w^3 - w^2 - 5/2*w - 2]', '[191, 191, -1/2*w^3 + 3/2*w + 2]', '[191, 191, 2*w - 5]', '[191, 191, -2*w - 3]', '[191, 191, -1/2*w^3 + 2*w^2 + 3/2*w - 10]', '[193, 193, -1/2*w^3 + w^2 + 9/2*w - 4]', '[193, 193, 1/2*w^3 - 5/2*w^2 + w + 5]', '[193, 193, -1/2*w^3 - w^2 + 5/2*w + 4]', '[193, 193, 1/2*w^3 - 1/2*w^2 - 5*w + 1]', '[227, 227, -1/2*w^3 + 3/2*w^2 + 4*w - 9]', '[227, 227, w^3 - 2*w^2 - 7*w + 5]', '[227, 227, w^3 - w^2 - 8*w + 3]', '[227, 227, 1/2*w^3 - 11/2*w - 4]', '[239, 239, 1/2*w^3 - 3/2*w^2 - 4*w + 3]', '[239, 239, 1/2*w^3 - 11/2*w + 2]', '[251, 251, 1/2*w^3 - w^2 - 1/2*w - 2]', '[251, 251, -1/2*w^3 + 1/2*w^2 + w - 3]', '[263, 263, -1/2*w^3 - w^2 + 17/2*w]', '[263, 263, 1/2*w^3 - 5/2*w^2 - 5*w + 7]', '[277, 277, w^3 - w^2 - 6*w + 1]', '[277, 277, -w^3 + 2*w^2 + 5*w - 5]', '[311, 311, -w^3 + 5/2*w^2 + 13/2*w - 8]', '[311, 311, -w^3 + 1/2*w^2 + 17/2*w]', '[337, 337, 2*w^3 - 3*w^2 - 13*w + 9]', '[337, 337, 5/2*w^2 + 3/2*w - 8]', '[347, 347, 2*w^3 - 7/2*w^2 - 25/2*w + 14]', '[347, 347, 2*w^3 - 5/2*w^2 - 27/2*w]', '[349, 349, w^3 - 3/2*w^2 - 11/2*w + 4]', '[349, 349, -w^3 + 3/2*w^2 + 11/2*w - 2]', '[359, 359, -1/2*w^3 + w^2 + 1/2*w + 4]', '[359, 359, 1/2*w^3 - 1/2*w^2 - w + 5]', '[373, 373, 1/2*w^3 - 3/2*w + 4]', '[373, 373, 1/2*w^3 - 3/2*w^2 - 3]', '[383, 383, w^3 - 3/2*w^2 - 15/2*w + 8]', '[383, 383, -2*w^2 + 1]', '[409, 409, 1/2*w^3 + w^2 - 13/2*w - 4]', '[409, 409, -1/2*w^3 + 5/2*w^2 + 3*w - 9]', '[431, 431, 3/2*w^3 - 5/2*w^2 - 10*w + 5]', '[431, 431, 1/2*w^3 - 5/2*w^2 - 3*w + 13]', '[431, 431, 1/2*w^3 + w^2 - 13/2*w - 8]', '[431, 431, 3/2*w^3 - 2*w^2 - 21/2*w + 6]', '[433, 433, 2*w^3 - 4*w^2 - 14*w + 13]', '[433, 433, w^3 - 1/2*w^2 - 9/2*w + 6]', '[443, 443, 2*w^3 - 11/2*w^2 - 21/2*w + 24]', '[443, 443, w^3 - 5*w - 3]', '[457, 457, -2*w^3 + 4*w^2 + 12*w - 13]', '[457, 457, -w^3 + 1/2*w^2 + 9/2*w]', '[467, 467, -3/2*w^3 + 7/2*w^2 + 7*w - 7]', '[467, 467, 3/2*w^2 + 1/2*w - 8]', '[467, 467, w^3 - 7/2*w^2 - 15/2*w + 12]', '[467, 467, 3/2*w^3 - w^2 - 19/2*w + 2]', '[503, 503, -2*w^2 + 11]', '[503, 503, 2*w^3 - 2*w^2 - 12*w + 7]', '[503, 503, 2*w^3 - 4*w^2 - 10*w + 5]', '[503, 503, -2*w^2 + 4*w + 9]', '[529, 23, 3/2*w^2 - 3/2*w - 8]', '[541, 541, -1/2*w^3 + w^2 + 1/2*w + 6]', '[541, 541, 1/2*w^3 - 1/2*w^2 - w + 7]', '[563, 563, 1/2*w^2 + 3/2*w - 6]', '[563, 563, 1/2*w^2 - 5/2*w - 4]', '[577, 577, -1/2*w^3 + 5/2*w^2 + w - 11]', '[577, 577, -1/2*w^3 - w^2 + 9/2*w + 8]', '[587, 587, -w^3 + 1/2*w^2 + 13/2*w - 2]', '[587, 587, -w^3 + 5/2*w^2 + 9/2*w - 4]', '[599, 599, 1/2*w^3 + w^2 - 9/2*w - 12]', '[599, 599, -1/2*w^3 + 5/2*w^2 + w - 15]', '[601, 601, 1/2*w^3 - 1/2*w^2 - 3*w - 5]', '[601, 601, -1/2*w^3 + w^2 + 5/2*w - 8]', '[625, 5, -5]', '[659, 659, 3/2*w^3 - 1/2*w^2 - 8*w + 3]', '[659, 659, 3/2*w^3 - 4*w^2 - 9/2*w + 4]', '[673, 673, 2*w^3 - 2*w^2 - 16*w - 1]', '[673, 673, w^3 - 3/2*w^2 - 7/2*w - 8]', '[673, 673, w^3 - 3/2*w^2 - 7/2*w + 12]', '[673, 673, 2*w^3 - 4*w^2 - 14*w + 17]', '[683, 683, -1/2*w^3 - w^2 + 9/2*w - 2]', '[683, 683, -w^3 + 5/2*w^2 + 9/2*w - 12]', '[683, 683, -w^3 + 1/2*w^2 + 13/2*w + 6]', '[683, 683, 3/2*w^3 - w^2 - 11/2*w + 10]', '[709, 709, -1/2*w^3 + w^2 + 9/2*w - 10]', '[709, 709, 1/2*w^3 - 1/2*w^2 - 5*w - 5]', '[719, 719, -3/2*w^3 + 3/2*w^2 + 11*w - 3]', '[719, 719, -3/2*w^3 + 3*w^2 + 19/2*w - 8]', '[733, 733, w^3 - 3*w^2 - 8*w + 13]', '[733, 733, -w^3 + 7/2*w^2 + 7/2*w - 12]', '[733, 733, w^3 + 1/2*w^2 - 15/2*w - 6]', '[733, 733, -3/2*w^3 + 9/2*w^2 + 8*w - 19]', '[757, 757, w^3 - w^2 - 4*w + 1]', '[757, 757, -2*w^3 + 7/2*w^2 + 25/2*w - 10]', '[769, 769, -2*w^2 + 4*w + 7]', '[769, 769, -2*w^2 + 9]', '[827, 827, -1/2*w^3 - 1/2*w^2 + 6*w - 1]', '[827, 827, -1/2*w^3 + 2*w^2 + 7/2*w - 4]', '[829, 829, 1/2*w^3 + 2*w^2 - 7/2*w - 12]', '[829, 829, 7/2*w^3 - 8*w^2 - 41/2*w + 32]', '[829, 829, 3/2*w^3 - w^2 - 15/2*w - 2]', '[829, 829, -w^3 + w^2 + 8*w + 5]', '[839, 839, 3/2*w^3 - w^2 - 23/2*w]', '[839, 839, -3/2*w^3 + 7/2*w^2 + 9*w - 11]', '[853, 853, 1/2*w^3 - 3/2*w^2 - 2*w + 11]', '[853, 853, -1/2*w^3 + 7/2*w + 8]', '[863, 863, 2*w^3 - 11/2*w^2 - 25/2*w + 26]', '[863, 863, 3/2*w^3 - 5/2*w^2 - 10*w + 13]', '[887, 887, 2*w^3 - 7/2*w^2 - 29/2*w + 8]', '[887, 887, 2*w^3 - 5/2*w^2 - 31/2*w + 8]', '[911, 911, 2*w^3 - w^2 - 15*w - 3]', '[911, 911, 2*w^3 - 5*w^2 - 11*w + 17]', '[947, 947, -w^3 + 3*w^2 + 6*w - 9]', '[947, 947, w^3 - 9*w - 1]', '[961, 31, -3/2*w^3 + 3*w^2 + 23/2*w - 8]', '[961, 31, 3/2*w^3 - 3/2*w^2 - 13*w + 5]', '[983, 983, -1/2*w^3 + 2*w^2 - 1/2*w - 6]', '[983, 983, 1/2*w^3 + 1/2*w^2 - 2*w - 5]', '[997, 997, w^3 - 13*w + 7]', '[997, 997, 1/2*w^3 - 5/2*w^2 - w + 9]', '[997, 997, 1/2*w^3 + w^2 - 9/2*w - 6]', '[997, 997, -w^3 + 3*w^2 + 10*w - 5]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  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': [4, 8, -7, -2, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 13968, 'disc_rad': 582, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 34.11744421846396, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.13968.1', 'local_algs': ['2.1.2.2a1.2', '2.1.2.2a1.2', '3.2.2.2a1.2', '97.1.2.1a1.2', '97.2.1.0a1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 97], 'rd': 10.8713519684, 'regulator': {'__RealLiteral__': 0, 'data': '13.0623355025', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-3.0.1'], 'torsion_order': 2, 'unit_signature_rank': 3, 'used_grh': False}