Hilbert modular form data - 5.5.173513.1-79.1-a

Formats: - HTML - YAML - JSON - 2024-06-15T18:51:08.828849

• 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': 5, 'dimension': 1, 'disc': 173513, 'field_bad_primes': [167, 1039], 'field_label': '5.5.173513.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.173513.1-79.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [79], 'level_ideal': '[79, 79, -w^4 + 2*w^3 + 5*w^2 - 4*w - 4]', 'level_label': '79.1', 'level_norm': 79, 'parallel_weight': 2, 'short_label': '79.1-a', 'weight': '[2, 2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[79, 79, -w^4 + 2*w^3 + 5*w^2 - 4*w - 4]', 1]], 'hecke_eigenvalues': [4, -2, -4, 3, -2, 4, -5, 0, -1, 4, -4, 5, -6, -8, 7, -2, 7, 16, 5, -13, -1, 7, 0, -8, -5, -11, -3, -14, -16, -4, 0, -7, 23, -7, 14, -16, 14, -2, -8, 14, -6, 10, -14, -3, 6, -30, -28, -1, -24, 5, -22, 6, 15, 8, -11, 3, -31, -16, 1, -33, 1, -36, -20, 28, -13, 27, -4, 6, 10, 30, -27, 2, 4, 3, 7, -10, -10, 6, -4, -17, 39, -16, 11, -32, 18, -30, 8, -8, 16, 12, 30, 39, -11, -38, 12, -39, 0, 18, 8, 45, -4, -30, 11, 4, -28, -18, 30, -8, -15, -27, 26, -12, -12, 46, 40, -31, -49, 24, -40, -38, 2, 15, -14, -12, -18, 14, 50, -8, 24, 14, -52, -22, -33, 42, -18, 21, 44, 40, -11, 20, 17, -38, 0, -22, 36, -19, -40, -20, -7, -38, 8, 1, 21, 23, -44, 17, 1, -22, 16, 11, 10], 'hecke_polynomial': 'x', 'label': '5.5.173513.1-79.1-a'}
• hmf_fields •

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

  
  {'degree': 5, 'discriminant': 173513, 'ideals': ['[1, 1, 1]', '[9, 3, -w^4 + 2*w^3 + 4*w^2 - w - 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[13, 13, -w^4 + w^3 + 7*w^2 + w - 5]', '[17, 17, w^4 - 2*w^3 - 5*w^2 + 3*w + 1]', '[19, 19, w^4 - w^3 - 7*w^2 - w + 2]', '[19, 19, -w^3 + 2*w^2 + 4*w - 3]', '[23, 23, -w^3 + 3*w^2 + 2*w - 2]', '[23, 23, -w + 2]', '[25, 5, -w^4 + 2*w^3 + 5*w^2 - 2*w - 1]', '[27, 3, -2*w^4 + 4*w^3 + 9*w^2 - 4*w - 3]', '[31, 31, 2*w^4 - 4*w^3 - 9*w^2 + 4*w + 4]', '[32, 2, -2]', '[41, 41, w^4 - 3*w^3 - 2*w^2 + 5*w]', '[43, 43, w^4 - w^3 - 7*w^2 + 3]', '[47, 47, w^2 - 2*w - 1]', '[53, 53, w^2 - w - 3]', '[67, 67, -w^4 + 2*w^3 + 5*w^2 - 4*w - 2]', '[71, 71, -2*w^4 + 4*w^3 + 10*w^2 - 5*w - 4]', '[73, 73, w^4 - w^3 - 7*w^2 + 6]', '[73, 73, 2*w^4 - 3*w^3 - 11*w^2 - w + 6]', '[79, 79, -w^4 + 2*w^3 + 5*w^2 - 4*w - 4]', '[81, 9, w^2 - 3*w - 2]', '[83, 83, 2*w^4 - 4*w^3 - 9*w^2 + 3*w + 3]', '[89, 89, 3*w^4 - 6*w^3 - 14*w^2 + 6*w + 6]', '[97, 97, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[99, 33, w^3 - w^2 - 5*w - 1]', '[103, 103, -3*w^4 + 6*w^3 + 13*w^2 - 4*w - 4]', '[107, 107, -2*w^4 + 4*w^3 + 9*w^2 - 3*w - 2]', '[117, 39, w^4 - 2*w^3 - 5*w^2 + 4*w + 3]', '[121, 121, 2*w^4 - 4*w^3 - 9*w^2 + 5*w + 2]', '[125, 5, w^4 - 2*w^3 - 4*w^2 - w + 2]', '[131, 131, -2*w^3 + 5*w^2 + 6*w - 6]', '[139, 139, w^4 - 2*w^3 - 4*w^2 + 2*w - 2]', '[139, 139, 3*w^4 - 6*w^3 - 14*w^2 + 6*w + 5]', '[143, 143, w^4 - w^3 - 6*w^2 - 3*w + 3]', '[151, 151, w^4 - w^3 - 8*w^2 + 7]', '[153, 51, 2*w^4 - 5*w^3 - 7*w^2 + 7*w + 3]', '[157, 157, w^4 - 9*w^2 - 5*w + 5]', '[167, 167, 2*w^4 - 3*w^3 - 11*w^2 + w + 4]', '[169, 169, -w^4 + 2*w^3 + 4*w^2 + w - 3]', '[171, 57, 2*w^4 - 4*w^3 - 9*w^2 + 5*w + 1]', '[171, 57, w^4 - 3*w^3 - 2*w^2 + 6*w]', '[173, 173, -w^3 + 3*w^2 + w - 4]', '[173, 173, -w^4 + 3*w^3 + 2*w^2 - 5*w - 1]', '[187, 187, 2*w^3 - 5*w^2 - 6*w + 4]', '[193, 193, -w^4 + w^3 + 7*w^2 + 3*w - 4]', '[193, 193, -3*w^4 + 6*w^3 + 13*w^2 - 4*w - 3]', '[207, 69, -w^4 + 9*w^2 + 6*w - 5]', '[207, 69, -2*w^4 + 5*w^3 + 6*w^2 - 4*w - 1]', '[209, 209, w^4 - 3*w^3 - 3*w^2 + 5*w + 1]', '[209, 209, -2*w^4 + 3*w^3 + 12*w^2 - 8]', '[211, 211, -w^3 + w^2 + 5*w]', '[211, 211, -w^4 + 2*w^3 + 4*w^2 - w + 3]', '[221, 221, -w^4 + 2*w^3 + 4*w^2 + 2]', '[223, 223, -w^3 + 3*w^2 + 4*w - 6]', '[223, 223, -w^4 + 2*w^3 + 6*w^2 - 5*w - 5]', '[225, 15, -w^4 + 3*w^3 + 3*w^2 - 6*w - 2]', '[229, 229, w^3 - w^2 - 6*w - 1]', '[243, 3, 3]', '[247, 247, -w^4 + 3*w^3 + 3*w^2 - 6*w - 3]', '[247, 247, -2*w^4 + 3*w^3 + 12*w^2 - w - 5]', '[251, 251, 3*w^4 - 6*w^3 - 14*w^2 + 5*w + 7]', '[251, 251, w^4 - 3*w^3 - 2*w^2 + 8*w - 3]', '[251, 251, w - 4]', '[253, 253, -w - 3]', '[253, 253, w^4 - 9*w^2 - 5*w + 7]', '[263, 263, 2*w^4 - 4*w^3 - 8*w^2 + 5]', '[269, 269, -w^4 + w^3 + 6*w^2 + 2*w - 4]', '[275, 55, -w^4 + 9*w^2 + 6*w - 4]', '[279, 93, -w^4 + 2*w^3 + 4*w^2 - w - 4]', '[281, 281, w^4 - w^3 - 6*w^2 - 2*w - 1]', '[288, 6, 2*w^4 - 4*w^3 - 8*w^2 + 2*w + 2]', '[289, 289, -w^4 + 2*w^3 + 4*w^2 - 2*w + 3]', '[293, 293, -2*w^4 + 4*w^3 + 9*w^2 - 2*w - 3]', '[293, 293, 2*w^4 - 4*w^3 - 8*w^2 + 3*w + 1]', '[293, 293, w^4 - 3*w^3 - 2*w^2 + 4*w - 3]', '[293, 293, 2*w - 3]', '[293, 293, -w^4 + 3*w^3 + 3*w^2 - 7*w - 4]', '[297, 33, -2*w^4 + 2*w^3 + 13*w^2 + 5*w - 7]', '[299, 299, 3*w^4 - 5*w^3 - 15*w^2 + w + 4]', '[299, 299, w^4 - 2*w^3 - 5*w^2 + w + 5]', '[307, 307, w^3 - w^2 - 7*w - 1]', '[307, 307, w^4 - w^3 - 7*w^2 - 3*w + 7]', '[311, 311, -w^3 + 2*w^2 + 6*w - 3]', '[311, 311, w^4 - 3*w^3 - 3*w^2 + 8*w + 1]', '[311, 311, w^4 - 3*w^3 - 3*w^2 + 8*w + 2]', '[313, 313, 2*w^3 - 5*w^2 - 7*w + 6]', '[317, 317, 3*w^4 - 5*w^3 - 16*w^2 + 2*w + 5]', '[323, 323, -w^3 + 3*w^2 + w + 1]', '[323, 323, -3*w^4 + 6*w^3 + 13*w^2 - 4*w - 5]', '[325, 65, 2*w^3 - 5*w^2 - 5*w + 4]', '[331, 331, -w^4 + 3*w^3 + 2*w^2 - 5*w - 2]', '[341, 341, 2*w^4 - 3*w^3 - 11*w^2 - w + 7]', '[347, 347, w^4 - 9*w^2 - 4*w + 4]', '[349, 349, w^3 - 3*w^2 - 5*w + 5]', '[351, 39, 5*w^4 - 10*w^3 - 24*w^2 + 13*w + 12]', '[352, 22, 2*w^3 - 4*w^2 - 8*w]', '[359, 359, -w^4 + 2*w^3 + 6*w^2 - 4*w - 4]', '[361, 19, w^3 - w^2 - 6*w]', '[361, 361, -2*w^4 + 4*w^3 + 9*w^2 - 2*w - 2]', '[361, 361, -2*w^4 + 3*w^3 + 11*w^2 - 7]', '[367, 367, -w^4 + 2*w^3 + 5*w^2 - 3*w - 6]', '[369, 123, w^4 - 2*w^3 - 3*w^2 - 2*w + 2]', '[373, 373, w^4 - 3*w^3 - w^2 + 3*w - 3]', '[373, 373, 2*w^3 - 4*w^2 - 7*w + 1]', '[373, 373, w^4 - 2*w^3 - 3*w^2 - w - 2]', '[373, 373, w^4 - 3*w^3 - 2*w^2 + 3*w - 2]', '[373, 373, -2*w^4 + 3*w^3 + 12*w^2 - 3*w - 5]', '[379, 379, -w^4 + 3*w^3 + 3*w^2 - 5*w - 3]', '[379, 379, -w^4 + 2*w^3 + 6*w^2 - 4*w - 3]', '[387, 129, w^4 - 3*w^3 - w^2 - 2]', '[389, 389, -2*w^3 + 4*w^2 + 7*w - 4]', '[389, 389, -w^4 + 3*w^3 + 3*w^2 - 5*w - 2]', '[391, 391, 3*w^4 - 4*w^3 - 19*w^2 + w + 12]', '[391, 391, 2*w^3 - 4*w^2 - 7*w]', '[397, 397, -w^4 + 4*w^3 + w^2 - 10*w + 1]', '[401, 401, -3*w^4 + 5*w^3 + 15*w^2 - 2*w - 8]', '[401, 401, -w^4 + w^3 + 7*w^2 + 3*w - 5]', '[401, 401, -3*w^4 + 6*w^3 + 13*w^2 - 7*w - 5]', '[403, 403, -6*w^4 + 11*w^3 + 31*w^2 - 12*w - 17]', '[416, 26, 2*w^4 - 2*w^3 - 14*w^2 - 2*w + 10]', '[423, 141, 2*w^3 - 6*w^2 - 4*w + 3]', '[425, 85, -w^4 + 10*w^2 + 3*w - 5]', '[433, 433, 3*w^4 - 5*w^3 - 16*w^2 + 7]', '[437, 437, -w^2 + 4]', '[437, 437, -w^4 + 3*w^3 + w^2 - 4*w + 3]', '[437, 437, w^4 - w^3 - 8*w^2 - 2*w + 5]', '[437, 437, w^3 - 2*w^2 - 6*w + 4]', '[439, 439, w^4 - 4*w^3 + 8*w - 6]', '[443, 443, w^4 - w^3 - 6*w^2 - 3*w + 4]', '[451, 451, w^4 - w^3 - 7*w^2 - 1]', '[457, 457, 4*w^4 - 7*w^3 - 20*w^2 + 3*w + 9]', '[459, 51, w^4 - 4*w^3 + w^2 + 8*w - 7]', '[463, 463, 2*w^4 - 2*w^3 - 14*w^2 - 2*w + 9]', '[463, 463, -w^4 + w^3 + 9*w^2 - 3*w - 8]', '[467, 467, -2*w^4 + 3*w^3 + 12*w^2 - 2*w - 4]', '[473, 473, 2*w^4 - w^3 - 16*w^2 - 5*w + 6]', '[475, 95, -w^3 + w^2 + 7*w + 2]', '[475, 95, 3*w^4 - 5*w^3 - 15*w^2 + w + 5]', '[477, 159, 2*w^4 - 3*w^3 - 12*w^2 + 4]', '[479, 479, -w^4 + w^3 + 7*w^2 + 3*w - 6]', '[479, 479, w^4 - 3*w^3 - w^2 + 3*w - 4]', '[487, 487, -w^4 + 2*w^3 + 6*w^2 - 5*w - 4]', '[487, 487, 2*w^3 - 5*w^2 - 5*w + 5]', '[491, 491, -4*w^4 + 8*w^3 + 18*w^2 - 7*w - 9]', '[491, 491, -4*w^4 + 8*w^3 + 19*w^2 - 8*w - 9]', '[513, 57, w^4 - 2*w^3 - 3*w^2 - w - 3]', '[513, 57, 4*w^4 - 10*w^3 - 14*w^2 + 17*w + 2]', '[517, 517, 2*w^4 - 4*w^3 - 7*w^2 - w - 1]', '[521, 521, -2*w^4 + 5*w^3 + 8*w^2 - 9*w - 5]', '[523, 523, 4*w^4 - 6*w^3 - 22*w^2 - 2*w + 9]', '[527, 527, 2*w^3 - 6*w^2 - 5*w + 8]', '[529, 23, 2*w^4 - 5*w^3 - 7*w^2 + 8*w - 3]', '[529, 529, -w^3 + 3*w^2 - 4]', '[529, 529, -3*w^4 + 6*w^3 + 13*w^2 - 5*w - 3]', '[533, 533, 3*w^4 - 6*w^3 - 14*w^2 + 8*w + 4]', '[544, 34, -2*w^4 + 4*w^3 + 10*w^2 - 6*w - 2]', '[547, 547, 2*w^4 - 3*w^3 - 13*w^2 + 5*w + 9]', '[557, 557, -2*w^4 + 2*w^3 + 14*w^2 + 3*w - 7]', '[559, 559, -3*w^4 + 6*w^3 + 14*w^2 - 7*w - 9]', '[563, 563, -2*w^4 + 5*w^3 + 5*w^2 - 3*w + 2]', '[563, 563, 2*w^4 - 6*w^3 - 4*w^2 + 8*w + 1]', '[563, 563, 4*w^4 - 6*w^3 - 23*w^2 + 2*w + 9]', '[571, 571, -w^4 + 2*w^3 + 4*w^2 - 5]', '[571, 571, -4*w^4 + 9*w^3 + 17*w^2 - 13*w - 7]', '[575, 115, -w^3 + 3*w^2 + w - 5]', '[575, 115, -2*w^4 + 4*w^3 + 9*w^2 - 6*w - 1]', '[577, 577, 2*w^3 - 5*w^2 - 7*w + 5]', '[583, 583, w^4 - 7*w^2 - 9*w - 1]', '[589, 589, -4*w^4 + 9*w^3 + 16*w^2 - 13*w - 5]', '[589, 589, w^3 - 4*w^2 + 5]', '[601, 601, -w^4 + 2*w^3 + 6*w^2 - 6*w - 8]', '[603, 201, 2*w^3 - 5*w^2 - 4*w + 4]', '[608, 38, -2*w^4 + 2*w^3 + 14*w^2 + 2*w - 4]', '[608, 38, 2*w^3 - 4*w^2 - 8*w + 6]', '[611, 611, 3*w^4 - 6*w^3 - 14*w^2 + 5*w + 6]', '[617, 617, -2*w^4 + 4*w^3 + 10*w^2 - 7*w - 5]', '[619, 619, w^4 - 2*w^3 - 3*w^2 - 2]', '[621, 69, w^4 - 2*w^3 - 6*w^2 + 5*w + 3]', '[621, 69, -4*w^4 + 9*w^3 + 16*w^2 - 11*w - 4]', '[625, 25, -w^4 + w^3 + 6*w^2 + 5*w - 4]', '[639, 213, w^3 - 4*w^2 - 2*w + 5]', '[647, 647, -w^4 - w^3 + 11*w^2 + 10*w - 6]', '[647, 647, -2*w^4 + 6*w^3 + 4*w^2 - 9*w - 1]', '[657, 219, -2*w^4 + 3*w^3 + 11*w^2 - 3*w - 5]', '[657, 219, -w^4 + 4*w^3 - 8*w - 2]', '[659, 659, 3*w^4 - 8*w^3 - 10*w^2 + 14*w + 1]', '[661, 661, -3*w^4 + 6*w^3 + 15*w^2 - 7*w - 6]', '[675, 15, -w^4 + 3*w^3 + w^2 - 5*w + 5]', '[677, 677, 2*w^4 - 5*w^3 - 6*w^2 + 8*w - 4]', '[683, 683, 2*w^4 - 6*w^3 - 4*w^2 + 9*w - 4]', '[683, 683, 4*w^4 - 9*w^3 - 15*w^2 + 9*w + 1]', '[683, 683, -3*w^4 + 5*w^3 + 15*w^2 - 2*w - 6]', '[689, 689, 4*w^4 - 6*w^3 - 24*w^2 + w + 15]', '[691, 691, -2*w^3 + 3*w^2 + 11*w + 1]', '[697, 697, 2*w^4 - 7*w^3 - w^2 + 12*w - 5]', '[701, 701, -w^4 - w^3 + 11*w^2 + 10*w - 5]', '[709, 709, 2*w^4 - 3*w^3 - 12*w^2 + w + 4]', '[709, 709, 3*w^4 - 6*w^3 - 13*w^2 + 2*w + 5]', '[711, 237, 2*w^4 - 2*w^3 - 13*w^2 - 2*w + 6]', '[713, 713, -w^4 + w^3 + 9*w^2 - 3*w - 5]', '[713, 713, 4*w^4 - 9*w^3 - 16*w^2 + 10*w + 6]', '[729, 9, w^4 - 10*w^2 - 4*w + 4]', '[729, 27, -2*w^4 + 5*w^3 + 8*w^2 - 10*w - 2]', '[731, 731, w^4 - 3*w^3 - 2*w^2 + 2*w + 3]', '[733, 733, 3*w^4 - 4*w^3 - 19*w^2 - w + 9]', '[736, 46, 2*w^3 - 6*w^2 - 4*w + 4]', '[736, 46, 2*w - 4]', '[737, 737, w^4 - 3*w^3 - w^2 + 2*w - 4]', '[747, 249, w^3 - 2*w^2 - 2*w - 2]', '[751, 751, 2*w^4 - 6*w^3 - 4*w^2 + 8*w - 3]', '[751, 751, 3*w^4 - 8*w^3 - 9*w^2 + 14*w]', '[757, 757, -w^4 + 8*w^2 + 9*w - 2]', '[757, 757, -w^4 + 11*w^2 + w - 10]', '[761, 761, 2*w^4 - 3*w^3 - 11*w^2 - 2*w + 6]', '[761, 761, 3*w^4 - 4*w^3 - 18*w^2 - w + 4]', '[775, 155, -w^3 + 4*w^2 + 3*w - 6]', '[779, 779, -3*w^3 + 8*w^2 + 7*w - 4]', '[779, 779, 4*w^4 - 10*w^3 - 13*w^2 + 15*w - 1]', '[781, 781, -w^4 + 10*w^2 + 4*w - 8]', '[787, 787, -3*w^4 + 6*w^3 + 13*w^2 - 7*w - 2]', '[787, 787, -5*w^4 + 10*w^3 + 23*w^2 - 11*w - 9]', '[799, 799, -w^4 + 2*w^3 + 3*w^2 + 2*w - 3]', '[800, 10, 2*w^4 - 4*w^3 - 10*w^2 + 4*w + 2]', '[801, 267, -w^4 + 2*w^3 + 5*w^2 - w - 6]', '[803, 803, 6*w^4 - 10*w^3 - 30*w^2 + 9]', '[803, 803, 2*w^4 - 4*w^3 - 10*w^2 + 7*w + 6]', '[809, 809, 4*w^4 - 8*w^3 - 18*w^2 + 7*w + 4]', '[811, 811, w^4 - 3*w^3 - 2*w^2 + 4*w + 4]', '[817, 817, -w^4 + 2*w^3 + 5*w^2 - 5*w - 3]', '[817, 817, -3*w^3 + 7*w^2 + 7*w]', '[821, 821, -2*w^4 + 4*w^3 + 10*w^2 - 5*w - 10]', '[821, 821, -w^4 + w^3 + 7*w^2 - w - 7]', '[821, 821, -4*w^4 + 8*w^3 + 18*w^2 - 9*w - 7]', '[827, 827, -w^3 + 3*w^2 + 4*w - 7]', '[827, 827, -2*w^4 + 2*w^3 + 14*w^2 + w - 10]', '[827, 827, -w^4 + w^3 + 9*w^2 - 3*w - 6]', '[829, 829, w^4 - 3*w^3 - w^2 + 4*w - 4]', '[829, 829, 2*w^4 - 5*w^3 - 7*w^2 + 9*w + 3]', '[829, 829, -2*w^4 + 5*w^3 + 8*w^2 - 10*w - 7]', '[837, 93, -w^4 + 3*w^3 + 4*w^2 - 8*w - 4]', '[839, 839, -w^4 + w^3 + 6*w^2 + 3*w - 5]', '[853, 853, -2*w^4 + 4*w^3 + 8*w^2 - 3*w + 4]', '[859, 859, -3*w^4 + 6*w^3 + 13*w^2 - 7*w]', '[863, 863, 2*w^4 - 3*w^3 - 12*w^2 - w + 7]', '[863, 863, 3*w^4 - 5*w^3 - 17*w^2 + 5*w + 7]', '[864, 6, -4*w^4 + 8*w^3 + 18*w^2 - 8*w - 6]', '[869, 869, w^4 - w^3 - 5*w^2 - 6*w - 4]', '[871, 871, 5*w^4 - 10*w^3 - 23*w^2 + 11*w + 10]', '[873, 291, 3*w^4 - 4*w^3 - 17*w^2 - 4*w + 7]', '[877, 877, -3*w^4 + 6*w^3 + 14*w^2 - 5*w - 5]', '[881, 881, -3*w^4 + 6*w^3 + 13*w^2 - 5*w - 5]', '[881, 881, -w^4 + 4*w^3 + w^2 - 9*w + 1]', '[883, 883, -w^4 + 4*w^3 - 7*w]', '[883, 883, -w^4 + 4*w^3 - 7*w + 5]', '[887, 887, -2*w^4 + 4*w^3 + 9*w^2 - 7*w - 1]', '[891, 99, -3*w^4 + 6*w^3 + 13*w^2 - 6*w - 5]', '[893, 893, 2*w^4 - 4*w^3 - 10*w^2 + 5*w + 2]', '[893, 893, -3*w^4 + 6*w^3 + 11*w^2 + w - 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w^3 - 16*w^2 - 6*w + 9]', '[1643, 1643, w^4 + w^3 - 11*w^2 - 9*w + 8]', '[1649, 1649, -w^4 - w^3 + 12*w^2 + 8*w - 10]', '[1657, 1657, -3*w^3 + 7*w^2 + 11*w - 6]', '[1657, 1657, -3*w^4 + 6*w^3 + 16*w^2 - 10*w - 12]', '[1661, 1661, 2*w^4 - 4*w^3 - 11*w^2 + 8*w + 7]', '[1667, 1667, 3*w^3 - 6*w^2 - 15*w + 4]', '[1669, 1669, 4*w^4 - 8*w^3 - 18*w^2 + 6*w + 7]', '[1669, 1669, -4*w^4 + 9*w^3 + 15*w^2 - 7*w - 6]', '[1669, 1669, 2*w^2 - 3*w - 6]', '[1675, 335, w^3 - 3*w^2 - 6*w + 5]', '[1679, 1679, w^4 - 4*w^3 + 3*w^2 + w - 6]', '[1679, 1679, w^4 - 11*w^2 - 3*w + 11]', '[1679, 1679, -2*w^4 + 4*w^3 + 10*w^2 - w - 7]', '[1679, 1679, 3*w^4 - 5*w^3 - 15*w^2 - 2*w + 10]', '[1681, 41, -w^4 + 2*w^3 + 6*w^2 - 2*w - 7]', '[1681, 41, -w^4 + 4*w^3 + w^2 - 10*w - 2]', '[1681, 1681, -2*w^4 + 5*w^3 + 7*w^2 - 8*w - 5]', '[1683, 561, -w^4 + 8*w^2 + 6*w - 6]', '[1691, 1691, w^3 - 4*w^2 + w + 7]', '[1691, 1691, -6*w^4 + 14*w^3 + 24*w^2 - 21*w - 7]', '[1693, 1693, -3*w^4 + 4*w^3 + 18*w^2 - 6]', '[1696, 106, 2*w^2 - 2*w - 6]', '[1703, 1703, 2*w^4 - w^3 - 17*w^2 - 6*w + 19]', '[1709, 1709, -w^3 + 3*w^2 + 4*w - 8]', '[1721, 1721, -w^4 + 2*w^3 + 4*w^2 - 2*w - 5]', '[1723, 1723, 5*w^4 - 10*w^3 - 22*w^2 + 10*w + 2]', '[1727, 1727, 6*w^4 - 8*w^3 - 35*w^2 - 4*w + 8]', '[1733, 1733, -6*w^4 + 10*w^3 + 33*w^2 - 6*w - 16]', '[1737, 579, -2*w^3 + 3*w^2 + 7*w]', '[1737, 579, -w^4 + 9*w^2 + 3*w + 1]', '[1741, 1741, 4*w^4 - 7*w^3 - 21*w^2 + 4*w + 16]', '[1751, 1751, 2*w^4 - 7*w^3 + 9*w - 8]', '[1753, 1753, -w^4 + 3*w^3 + 4*w^2 - 10*w - 1]', '[1763, 1763, 5*w^4 - 7*w^3 - 30*w^2 + 2*w + 15]', '[1775, 355, 2*w^3 - 3*w^2 - 6*w + 7]', '[1777, 1777, -w^4 + 10*w^2 + 2*w - 10]', '[1783, 1783, 2*w^4 - 7*w^3 - 3*w^2 + 17*w - 1]', '[1783, 1783, 2*w^3 - 6*w^2 - 6*w + 7]', '[1783, 1783, 5*w^4 - 10*w^3 - 24*w^2 + 13*w + 8]', '[1787, 1787, 2*w^4 - 2*w^3 - 14*w^2 + 3]', '[1789, 1789, 4*w^4 - 9*w^3 - 17*w^2 + 10*w + 8]', '[1789, 1789, -2*w^4 + 3*w^3 + 10*w^2 + 2*w - 5]', '[1807, 1807, -8*w^4 + 16*w^3 + 39*w^2 - 20*w - 20]', '[1807, 1807, w^4 + w^3 - 12*w^2 - 9*w + 11]', '[1809, 201, -w^4 - w^3 + 12*w^2 + 7*w - 12]', '[1811, 1811, w^4 - 3*w^3 - 2*w^2 + 5*w - 6]', '[1817, 1817, -2*w^4 + 4*w^3 + 11*w^2 - 7*w - 7]', '[1817, 1817, 3*w^4 - 6*w^3 - 14*w^2 + 3*w + 6]', '[1819, 1819, 2*w^4 - 6*w^3 - 4*w^2 + 9*w - 5]', '[1823, 1823, 3*w^4 - 5*w^3 - 15*w^2 + 3*w + 3]', '[1823, 1823, -w^3 + w^2 + 8*w]', '[1823, 1823, 2*w^3 - 5*w^2 - 7*w]', '[1825, 365, -3*w^4 + 7*w^3 + 14*w^2 - 8*w - 5]', '[1825, 365, -w^4 + 3*w^3 + 4*w^2 - 9*w - 3]', '[1837, 1837, 4*w^4 - 4*w^3 - 26*w^2 - 8*w + 9]', '[1843, 1843, 6*w^4 - 12*w^3 - 27*w^2 + 12*w + 7]', '[1843, 1843, -5*w^4 + 5*w^3 + 33*w^2 + 10*w - 11]', '[1847, 1847, -6*w^4 + 11*w^3 + 31*w^2 - 9*w - 16]', '[1847, 1847, -4*w^4 + 7*w^3 + 23*w^2 - 10*w - 14]', '[1849, 1849, -w^4 + 8*w^2 + 8*w - 6]', '[1859, 1859, -w^3 + 3*w^2 + w - 7]', '[1861, 1861, 2*w^4 - w^3 - 16*w^2 - 6*w + 15]', '[1861, 1861, -3*w^4 + 7*w^3 + 10*w^2 - 7*w + 6]', '[1863, 207, -w^4 + 7*w^2 + 9*w - 1]', '[1863, 207, -3*w^4 + 4*w^3 + 18*w^2 + w - 12]', '[1867, 1867, -4*w^4 + 4*w^3 + 27*w^2 + 6*w - 11]', '[1867, 1867, -w^4 + 3*w^3 + 3*w^2 - 9*w - 3]', '[1871, 1871, -3*w^4 + 5*w^3 + 17*w^2 - 3*w - 7]', '[1879, 1879, -4*w^4 + 8*w^3 + 19*w^2 - 7*w - 14]', '[1881, 627, 3*w^4 - 5*w^3 - 17*w^2 + 4*w + 7]', '[1881, 627, 2*w^4 - 5*w^3 - 8*w^2 + 7*w + 5]', '[1889, 1889, 4*w^4 - 5*w^3 - 25*w^2 - 4*w + 8]', '[1899, 633, -w^4 + 10*w^2 + 6*w - 4]', '[1899, 633, 4*w^4 - 7*w^3 - 19*w^2 + 2*w + 4]', '[1901, 1901, -w^4 + 4*w^3 + w^2 - 9*w]', '[1903, 1903, w^4 - 9*w^2 - 4*w - 1]', '[1903, 1903, 2*w^2 - 6*w - 3]', '[1909, 1909, 4*w^4 - 9*w^3 - 15*w^2 + 9*w + 4]', '[1909, 1909, -w^3 + 4*w^2 - 3*w - 3]', '[1917, 213, -6*w^4 + 11*w^3 + 29*w^2 - 6*w - 11]', '[1927, 1927, 3*w^4 - 3*w^3 - 21*w^2 - 3*w + 16]', '[1933, 1933, -5*w^4 + 8*w^3 + 26*w^2 + w - 7]', '[1933, 1933, -2*w^4 + 2*w^3 + 12*w^2 + 6*w - 5]', '[1933, 1933, 3*w^4 - 7*w^3 - 11*w^2 + 9*w + 5]', '[1951, 1951, -w^4 + 4*w^3 + w^2 - 13*w - 3]', '[1957, 1957, 4*w^4 - 11*w^3 - 12*w^2 + 20*w + 2]', '[1957, 1957, 4*w^4 - 8*w^3 - 14*w^2 - 3*w - 2]', '[1963, 1963, -7*w^4 + 11*w^3 + 41*w^2 - 5*w - 28]', '[1971, 219, 4*w^4 - 10*w^3 - 14*w^2 + 14*w - 1]', '[1971, 219, w^4 - 3*w^3 - w^2 + 2*w - 5]', '[1973, 1973, -2*w^4 + 5*w^3 + 7*w^2 - 9*w - 4]', '[1975, 395, 2*w^4 - 3*w^3 - 13*w^2 - 2*w + 7]', '[1979, 1979, -w^4 - w^3 + 10*w^2 + 9*w - 2]', '[1979, 1979, 2*w^4 - 2*w^3 - 13*w^2 - 7*w + 5]', '[1979, 1979, 6*w^4 - 10*w^3 - 31*w^2 + 4*w + 9]', '[1987, 1987, w^4 - 5*w^3 + 4*w^2 + 8*w - 9]', '[1989, 663, w^4 - w^3 - 7*w^2 - 4*w + 7]', '[2007, 669, w^4 - w^3 - 9*w^2 + 5*w + 8]', '[2007, 669, 2*w^4 - w^3 - 17*w^2 - 4*w + 8]', '[2021, 2021, 3*w^4 - 7*w^3 - 11*w^2 + 10*w + 4]', '[2025, 45, 2*w^4 - 3*w^3 - 11*w^2 - 3*w + 5]', '[2033, 2033, 3*w^4 - 9*w^3 - 8*w^2 + 18*w - 1]', '[2033, 2033, 3*w^4 - 5*w^3 - 14*w^2 - 3*w]', '[2041, 2041, -w^4 + w^3 + 8*w^2 - 12]', '[2047, 2047, 6*w^4 - 13*w^3 - 25*w^2 + 15*w + 9]', '[2047, 2047, -2*w^4 + 3*w^3 + 13*w^2 - 6*w - 7]', '[2053, 2053, 4*w^4 - 5*w^3 - 26*w^2 + 15]', '[2057, 2057, 2*w^4 - w^3 - 17*w^2 - 3*w + 10]', '[2061, 687, 2*w^4 - w^3 - 16*w^2 - 7*w + 6]', '[2063, 2063, -3*w^4 + 4*w^3 + 20*w^2 - 3*w - 10]', '[2069, 2069, -w^4 + 10*w^2 + 7*w - 6]', '[2075, 415, w^4 - 3*w^3 - 2*w^2 + 3*w - 4]', '[2077, 2077, 3*w^4 - 6*w^3 - 14*w^2 + 4*w + 5]', '[2083, 2083, -3*w^4 + 7*w^3 + 12*w^2 - 10*w - 10]', '[2087, 2087, w^4 + w^3 - 9*w^2 - 13*w + 1]', '[2089, 2089, 5*w^4 - 9*w^3 - 25*w^2 + 8*w + 10]', '[2099, 2099, -w^4 + w^3 + 7*w^2 + 4*w - 6]', '[2099, 2099, -w^4 + 2*w^3 + 7*w^2 - 6*w - 10]', '[2111, 2111, w^4 + 2*w^3 - 13*w^2 - 15*w + 7]', '[2111, 2111, -w^4 + 3*w^3 + 4*w^2 - 10*w - 5]', '[2123, 2123, -5*w^4 + 8*w^3 + 26*w^2 + w - 6]', '[2123, 2123, -5*w^4 + 6*w^3 + 29*w^2 + 12*w - 10]', '[2125, 85, w^3 - 4*w^2 + 4*w + 1]', '[2131, 2131, -2*w^4 + 5*w^3 + 7*w^2 - 8*w - 6]', '[2133, 237, 2*w^4 - w^3 - 15*w^2 - 11*w + 6]', '[2141, 2141, -w^4 + 4*w^3 - 9*w - 1]', '[2141, 2141, -5*w^4 + 9*w^3 + 26*w^2 - 6*w - 12]', '[2143, 2143, 4*w^4 - 6*w^3 - 23*w^2 + 2*w + 7]', '[2144, 134, -2*w^4 + 4*w^3 + 10*w^2 - 8*w - 4]', '[2153, 2153, 2*w^4 - 5*w^3 - 9*w^2 + 13*w + 6]', '[2161, 2161, 3*w^3 - 6*w^2 - 14*w + 2]', '[2161, 2161, -w^3 + 4*w^2 + 2*w - 7]', '[2171, 2171, -4*w^4 + 8*w^3 + 19*w^2 - 11*w - 12]', '[2173, 2173, -w^4 + 3*w^3 + 4*w^2 - 8*w - 2]', '[2187, 9, 3*w^4 - 3*w^3 - 21*w^2 - 3*w + 12]', '[2197, 2197, 2*w^3 - 4*w^2 - 9*w - 1]', '[2201, 2201, -3*w^4 + 8*w^3 + 11*w^2 - 17*w - 5]', '[2209, 47, 3*w^4 - 4*w^3 - 20*w^2 + 3*w + 16]', '[2209, 47, 5*w^4 - 7*w^3 - 31*w^2 + w + 16]', '[2209, 2209, w^4 - w^3 - 9*w^2 + 5*w + 7]', '[2213, 2213, -w^3 + 4*w^2 + w - 7]', '[2221, 2221, 3*w^4 - 7*w^3 - 13*w^2 + 9*w + 6]', '[2221, 2221, -2*w^4 + 7*w^3 + 4*w^2 - 19*w + 1]', '[2221, 2221, -w^4 + 10*w^2 + 5*w - 7]', '[2223, 741, 3*w^4 - 5*w^3 - 15*w^2 - 2*w + 6]', '[2223, 741, -4*w^4 + 8*w^3 + 18*w^2 - 10*w - 5]', '[2225, 445, -2*w^3 + 5*w^2 + 5*w - 9]', '[2227, 2227, -6*w^4 + 16*w^3 + 18*w^2 - 25*w]', '[2231, 2231, -3*w^4 + 8*w^3 + 10*w^2 - 14*w - 5]', '[2231, 2231, 3*w^4 - 4*w^3 - 19*w^2 + w + 7]', '[2237, 2237, -3*w^4 + 7*w^3 + 13*w^2 - 12*w - 5]', '[2239, 2239, 4*w^4 - 10*w^3 - 12*w^2 + 11*w]', '[2239, 2239, -2*w^4 + 3*w^3 + 9*w^2 + 3*w + 4]', '[2241, 249, w^4 - 3*w^3 - 4*w^2 + 8*w + 1]', '[2243, 2243, -w^4 - 2*w^3 + 14*w^2 + 12*w - 14]', '[2249, 2249, 4*w^4 - 6*w^3 - 23*w^2 + w + 16]', '[2249, 2249, 4*w^4 - 7*w^3 - 21*w^2 + 7*w + 9]', '[2259, 753, -2*w^4 + 5*w^3 + 7*w^2 - 4*w - 6]', '[2259, 753, 2*w^4 - 7*w^3 - 3*w^2 + 11*w - 2]', '[2259, 753, 4*w^4 - 9*w^3 - 14*w^2 + 6*w + 3]', '[2263, 2263, -w^3 + 4*w^2 - 3*w - 4]', '[2263, 2263, w^4 + w^3 - 10*w^2 - 9*w + 1]', '[2272, 142, -4*w^4 + 8*w^3 + 20*w^2 - 10*w - 8]', '[2273, 2273, 2*w^4 - 5*w^3 - 6*w^2 + 5*w - 4]', '[2273, 2273, 4*w^4 - 6*w^3 - 21*w^2 + 4]', '[2277, 759, -4*w^4 + 5*w^3 + 25*w^2 + 2*w - 13]', '[2277, 759, -w^4 + 3*w^3 + 3*w^2 - 9*w - 2]', '[2279, 2279, 3*w^4 - 5*w^3 - 17*w^2 + 5*w + 6]', '[2281, 2281, -2*w^4 + 3*w^3 + 10*w^2 + 5*w - 7]', '[2281, 2281, -w^4 + 3*w^3 + 3*w^2 - 5*w - 7]', '[2281, 2281, -3*w^4 + 8*w^3 + 11*w^2 - 16*w - 6]', '[2287, 2287, -w^4 + 4*w^3 - w^2 - 7*w + 9]', '[2297, 2297, w^4 + w^3 - 12*w^2 - 6*w + 12]', '[2297, 2297, 2*w^4 - w^3 - 17*w^2 - 6*w + 14]', '[2299, 2299, -w^4 + w^3 + 6*w^2 + w + 2]', '[2299, 2299, -5*w^4 + 9*w^3 + 25*w^2 - 5*w - 10]', '[2309, 2309, 3*w^4 - 6*w^3 - 13*w^2 + 2*w + 3]', '[2309, 2309, -2*w^4 + 2*w^3 + 11*w^2 + 8*w - 1]', '[2309, 2309, 2*w^4 - 4*w^3 - 7*w^2 - 2]', '[2321, 2321, 2*w^4 + w^3 - 18*w^2 - 19*w + 3]', '[2321, 2321, -4*w^4 + 6*w^3 + 20*w^2 + 4*w - 1]', '[2333, 2333, -w^4 + 2*w^3 + 5*w^2 - 6*w - 2]', '[2336, 146, 2*w^4 - 2*w^3 - 14*w^2 + 12]', '[2336, 146, 4*w^4 - 6*w^3 - 22*w^2 - 2*w + 12]', '[2341, 2341, 2*w^4 - w^3 - 16*w^2 - 7*w + 14]', '[2351, 2351, -w^3 + 4*w^2 + w - 8]', '[2357, 2357, -w^4 + 2*w^3 + 6*w^2 - 7*w - 3]', '[2363, 2363, -w^4 + 5*w^3 - 3*w^2 - 11*w + 11]', '[2363, 2363, -4*w^4 + 9*w^3 + 16*w^2 - 14*w]', '[2367, 789, -3*w^4 + 10*w^3 + 2*w^2 - 11*w - 1]', '[2369, 2369, -w^4 + 4*w^3 - 4*w^2 + 3*w + 4]', '[2369, 2369, -6*w^4 + 14*w^3 + 21*w^2 - 13*w - 5]', '[2371, 2371, 4*w^4 - 5*w^3 - 27*w^2 + w + 15]', '[2375, 95, -3*w^4 + 7*w^3 + 8*w^2 + 2*w]', '[2375, 95, w^4 - 2*w^3 - 4*w^2 + 4*w - 3]', '[2381, 2381, -2*w^4 + 3*w^3 + 14*w^2 - 5*w - 12]', '[2383, 2383, -5*w^4 + 9*w^3 + 23*w^2 - w - 7]', '[2383, 2383, w^4 - 10*w^2 - 3*w + 14]', '[2383, 2383, -w^4 + 4*w^3 + 2*w^2 - 12*w - 2]', '[2383, 2383, 4*w^4 - 6*w^3 - 23*w^2 + 4*w + 12]', '[2383, 2383, 6*w^4 - 12*w^3 - 27*w^2 + 11*w + 6]', '[2403, 267, 6*w^4 - 11*w^3 - 29*w^2 + 6*w + 14]', '[2411, 2411, -w^4 + 8*w^2 + 7*w - 6]', '[2417, 2417, -3*w^4 + 6*w^3 + 13*w^2 - w - 6]', '[2421, 807, -w^4 + 3*w^3 + w^2 - 6*w - 1]', '[2425, 485, 2*w^4 - w^3 - 16*w^2 - 8*w + 9]', '[2431, 2431, w^4 - 3*w^3 - 4*w^2 + 9*w]', '[2441, 2441, -2*w^4 + 4*w^3 + 11*w^2 - 8*w - 6]', '[2449, 2449, -4*w^4 + 7*w^3 + 21*w^2 - 5*w - 7]', '[2453, 2453, -6*w^4 + 8*w^3 + 37*w^2 - 16]', '[2453, 2453, 2*w^4 - 3*w^3 - 8*w^2 - 7*w - 5]', '[2459, 2459, -2*w^4 + 18*w^2 + 11*w - 10]', '[2461, 2461, -4*w^4 + 9*w^3 + 15*w^2 - 10*w - 2]', '[2461, 2461, -w^2 + 5*w + 1]', '[2467, 2467, -w^4 + 6*w^3 - 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w^2 + 5*w + 2]', '[4439, 4439, -6*w^4 + 14*w^3 + 21*w^2 - 14*w - 3]', '[4439, 4439, -w^4 + 3*w^3 + 2*w^2 - w + 3]', '[4439, 4439, -w^4 + 8*w^2 + 7*w - 7]', '[4441, 4441, -w^4 + 9*w^2 + 8*w - 7]', '[4441, 4441, 3*w^4 - 5*w^3 - 17*w^2 + 5*w + 5]', '[4441, 4441, -4*w^2 + 7*w + 8]', '[4447, 4447, 3*w^4 - 5*w^3 - 18*w^2 + 6*w + 8]', '[4448, 278, 2*w^4 - 4*w^3 - 8*w^2 + 4*w - 4]', '[4448, 278, 2*w^4 - 6*w^3 - 2*w^2 + 4*w - 6]', '[4457, 4457, 2*w^4 - 3*w^3 - 13*w^2 + w + 13]', '[4457, 4457, 2*w^4 - 2*w^3 - 15*w^2 + 5]', '[4471, 4471, w^4 - 13*w^2 + 7*w + 5]', '[4483, 4483, 3*w^4 - 4*w^3 - 19*w^2 + w + 6]', '[4489, 4489, -w^4 + 2*w^3 + 6*w^2 - 3*w - 10]', '[4493, 4493, -w^4 + w^3 + 9*w^2 - w - 11]', '[4507, 4507, -5*w^4 + 9*w^3 + 26*w^2 - 7*w - 10]', '[4507, 4507, 2*w^4 - 3*w^3 - 12*w^2 - 2*w + 8]', '[4509, 501, -w^4 + w^3 + 8*w^2 - 2*w - 11]', '[4511, 4511, w^4 - 2*w^3 - 5*w^2 + 3*w + 8]', '[4513, 4513, 5*w^4 - 12*w^3 - 17*w^2 + 17*w - 1]', '[4519, 4519, 2*w^4 - 7*w^3 - 3*w^2 + 15*w + 1]', '[4519, 4519, 5*w^4 - 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12*w - 6]', '[4637, 4637, -5*w^4 + 10*w^3 + 22*w^2 - 8*w - 8]', '[4637, 4637, 3*w^3 - 8*w^2 - 10*w + 10]', '[4639, 4639, w^3 - 3*w^2 - w - 3]', '[4639, 4639, w^4 + w^3 - 11*w^2 - 8*w + 8]', '[4643, 4643, -w^3 + 8*w + 2]', '[4643, 4643, 3*w^4 - 3*w^3 - 22*w^2 + w + 10]', '[4649, 4649, -8*w^4 + 16*w^3 + 36*w^2 - 15*w - 8]', '[4649, 4649, -5*w^4 + 10*w^3 + 24*w^2 - 11*w - 8]', '[4649, 4649, -3*w^4 + 8*w^3 + 8*w^2 - 11*w - 2]', '[4653, 1551, -w^4 + w^3 + 7*w^2 + 4*w + 2]', '[4667, 4667, 7*w^4 - 13*w^3 - 36*w^2 + 11*w + 19]', '[4671, 519, -5*w^4 + 9*w^3 + 26*w^2 - 10*w - 11]', '[4671, 519, 2*w^4 - 2*w^3 - 13*w^2 - 5*w + 10]', '[4673, 4673, w^4 + 2*w^3 - 15*w^2 - 8*w + 11]', '[4673, 4673, 2*w^4 - 7*w^3 - 4*w^2 + 18*w - 6]', '[4673, 4673, -w^4 - 2*w^3 + 11*w^2 + 15*w - 3]', '[4673, 4673, 2*w^4 - 5*w^3 - 5*w^2 + 6*w - 6]', '[4673, 4673, -w^4 - w^3 + 12*w^2 + 6*w - 10]', '[4675, 935, -2*w^4 + 7*w^3 + 2*w^2 - 15*w + 2]', '[4681, 4681, 4*w^4 - 10*w^3 - 12*w^2 + 13*w]', '[4689, 1563, 3*w^4 - 4*w^3 - 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2*w^3 - 14*w^2 - 5*w + 11]', '[5141, 5141, -2*w^4 + w^3 + 18*w^2 + 3*w - 9]', '[5147, 5147, -w^3 + 2*w^2 + 3*w - 7]', '[5147, 5147, -2*w^4 + 3*w^3 + 10*w^2 + 2*w - 7]', '[5153, 5153, 5*w^4 - 10*w^3 - 22*w^2 + 9*w + 6]', '[5161, 5161, 9*w^4 - 14*w^3 - 54*w^2 + 10*w + 38]', '[5171, 5171, w^4 - 12*w^2 - 3*w + 10]', '[5175, 345, 2*w^4 - 2*w^3 - 14*w^2 + w + 5]', '[5175, 345, -3*w^4 + 8*w^3 + 9*w^2 - 13*w - 3]', '[5177, 5177, -w^4 + 4*w^3 + 2*w^2 - 13*w - 1]', '[5179, 5179, -7*w^4 + 15*w^3 + 28*w^2 - 13*w - 5]', '[5179, 5179, -2*w^4 + 5*w^3 + 9*w^2 - 11*w - 6]', '[5179, 5179, -4*w^4 + 5*w^3 + 28*w^2 - w - 20]', '[5183, 5183, -w^4 + 2*w^3 + 5*w^2 + w - 7]', '[5183, 5183, 2*w^4 - 2*w^3 - 14*w^2 - w]', '[5193, 1731, w^3 - 8*w]', '[5197, 5197, -4*w^4 + 5*w^3 + 24*w^2 + 5*w - 12]', '[5203, 5203, w^4 - 2*w^3 - 4*w^2 + 2*w + 6]', '[5209, 5209, w^4 - 3*w^3 + w - 6]', '[5211, 579, -4*w^4 + 9*w^3 + 13*w^2 - 5*w - 1]', '[5211, 579, -w^4 + 10*w^2 + w - 10]', '[5213, 5213, 9*w^4 - 17*w^3 - 44*w^2 + 20*w + 22]', '[5213, 5213, 8*w^4 - 13*w^3 - 45*w^2 + 12*w + 30]', '[5213, 5213, 2*w^4 - 2*w^3 - 16*w^2 - w + 16]', '[5219, 5219, 5*w^4 - 11*w^3 - 22*w^2 + 20*w + 4]', '[5219, 5219, w^4 - 8*w^2 - 10*w + 8]', '[5225, 1045, -2*w^4 + 6*w^3 + 2*w^2 - 5*w + 5]', '[5225, 1045, 2*w^4 - 4*w^3 - 8*w^2 - 2*w + 5]', '[5227, 5227, 4*w^4 - 8*w^3 - 17*w^2 + 3*w + 4]', '[5227, 5227, 4*w^4 - 6*w^3 - 23*w^2 + 3*w + 8]', '[5231, 5231, -2*w^4 + 6*w^3 + 5*w^2 - 9*w - 4]', '[5231, 5231, -w^4 + 2*w^3 + 7*w^2 - 6*w - 5]', '[5233, 5233, 4*w^4 - 8*w^3 - 17*w^2 + 7*w + 4]', '[5233, 5233, 2*w^4 - 4*w^3 - 8*w^2 - 3]', '[5239, 5239, -5*w^4 + 12*w^3 + 18*w^2 - 13*w - 8]', '[5247, 1749, -2*w^3 + 4*w^2 + 13*w + 4]', '[5261, 5261, 4*w^4 - 6*w^3 - 23*w^2 + 4*w + 11]', '[5267, 5267, 4*w^4 - 8*w^3 - 16*w^2 + 3*w + 4]', '[5267, 5267, -w^4 + 3*w^3 + 4*w^2 - 11*w - 2]', '[5269, 5269, w^4 - 6*w^2 - 13*w]', '[5269, 5269, -5*w^4 + 10*w^3 + 22*w^2 - 7*w - 6]', '[5275, 1055, -w^4 - w^3 + 8*w^2 + 9*w - 5]', '[5275, 1055, 5*w^4 - 10*w^3 - 23*w^2 + 9*w + 3]', '[5279, 5279, w^4 + w^3 - 11*w^2 - 10*w + 12]', '[5279, 5279, -2*w^4 + 20*w^2 + 7*w - 17]', '[5287, 5287, -3*w^4 + 9*w^3 + 7*w^2 - 19*w + 10]', '[5287, 5287, 3*w^3 - 7*w^2 - 13*w + 10]', '[5287, 5287, w^4 - 5*w^3 + 2*w^2 + 16*w - 9]', '[5293, 5293, w^4 - 5*w^3 + w^2 + 14*w]', '[5297, 5297, w^4 - 3*w^3 + w - 7]', '[5297, 5297, 4*w^4 - 9*w^3 - 18*w^2 + 10*w + 7]', '[5301, 1767, w^4 - 8*w^2 - 6*w + 9]', '[5301, 1767, -w^4 + 5*w^3 - 3*w^2 - 10*w + 10]', '[5321, 5321, 6*w^4 - 16*w^3 - 18*w^2 + 27*w - 1]', '[5323, 5323, -w^4 + 9*w^2 + 8*w - 10]', '[5329, 73, -4*w^4 + 8*w^3 + 17*w^2 - 7*w - 7]', '[5329, 5329, -7*w^4 + 11*w^3 + 40*w^2 - 7*w - 21]', '[5329, 5329, -3*w^4 + 10*w^3 + 3*w^2 - 19*w + 6]', '[5333, 5333, -2*w^4 + 4*w^3 + 10*w^2 - 3*w - 10]', '[5339, 5339, 6*w^4 - 6*w^3 - 39*w^2 - 11*w + 9]', '[5339, 5339, -w^4 - w^3 + 11*w^2 + 12*w - 8]', '[5344, 334, 4*w^4 - 6*w^3 - 22*w^2 + 2*w + 8]', '[5351, 5351, 3*w^4 - 6*w^3 - 16*w^2 + 10*w + 10]', '[5357, 5357, 2*w^4 - 4*w^3 - 6*w^2 - 3*w - 5]', '[5357, 5357, 3*w^4 - 4*w^3 - 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5]', '[6091, 6091, w^4 - 4*w^3 + w^2 + 6*w - 8]', '[6093, 2031, 4*w^4 - 9*w^3 - 16*w^2 + 9*w + 1]', '[6101, 6101, 2*w^4 - 3*w^3 - 13*w^2 + 4*w + 3]', '[6101, 6101, 5*w^4 - 9*w^3 - 27*w^2 + 12*w + 15]', '[6101, 6101, 2*w^4 - w^3 - 16*w^2 - 5*w + 10]', '[6103, 6103, -2*w^4 + 3*w^3 + 10*w^2 + 2*w - 8]', '[6121, 6121, -7*w^4 + 15*w^3 + 31*w^2 - 18*w - 12]', '[6121, 6121, -3*w^4 + 2*w^3 + 25*w^2 + 2*w - 18]', '[6127, 6127, -7*w^4 + 9*w^3 + 42*w^2 + 6*w - 12]', '[6131, 6131, -2*w^3 + 7*w^2 + 5*w - 6]', '[6137, 323, -2*w^3 + 3*w^2 + 11*w - 6]', '[6137, 6137, -w^4 + w^3 + 7*w^2 + 3*w + 2]', '[6137, 6137, 4*w^4 - 10*w^3 - 14*w^2 + 16*w + 5]', '[6143, 6143, 4*w^4 - 7*w^3 - 21*w^2 + 4*w + 17]', '[6143, 6143, 4*w^4 - 9*w^3 - 17*w^2 + 12*w - 1]', '[6147, 2049, 2*w^4 - 3*w^3 - 12*w^2 + 6*w + 1]', '[6147, 2049, 2*w^4 - 2*w^3 - 14*w^2 + w - 1]', '[6147, 2049, -w^3 + 3*w^2 + 5*w + 3]', '[6149, 6149, -w^4 + 2*w^3 + 3*w^2 + 5*w + 2]', '[6151, 6151, 2*w^4 - 4*w^3 - 8*w^2 - w - 2]', '[6151, 6151, 3*w^4 - 2*w^3 - 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4*w^3 - 20*w^2 + 3*w + 8]', '[9841, 9841, 6*w^4 - 11*w^3 - 28*w^2 + 7*w + 6]', '[9841, 9841, 10*w^4 - 16*w^3 - 57*w^2 + 7*w + 39]', '[9847, 9847, -5*w^4 + 12*w^3 + 19*w^2 - 20*w - 7]', '[9859, 9859, -2*w^4 + 5*w^3 + 9*w^2 - 12*w - 3]', '[9869, 9869, 8*w^4 - 14*w^3 - 41*w^2 + 8*w + 13]', '[9869, 9869, -2*w^4 + 18*w^2 + 9*w - 9]', '[9873, 3291, w^4 - 5*w^3 + w^2 + 13*w]', '[9875, 395, -w^4 + w^3 + 3*w^2 + 7*w + 12]', '[9883, 9883, 5*w^4 - 11*w^3 - 18*w^2 + 10*w - 7]', '[9893, 9893, -2*w^4 + 7*w^3 + 4*w^2 - 17*w - 4]', '[9893, 9893, -3*w^4 + 4*w^3 + 21*w^2 - 3*w - 19]', '[9899, 9899, w^4 - 8*w^2 - 8*w - 4]', '[9899, 9899, -5*w^4 + 5*w^3 + 33*w^2 + 9*w - 13]', '[9901, 9901, -4*w^4 + 5*w^3 + 25*w^2 - 10]', '[9909, 1101, -2*w^4 + w^3 + 15*w^2 + 5*w - 9]', '[9911, 9911, -3*w^4 + 3*w^3 + 19*w^2 + 8*w - 10]', '[9917, 9917, -2*w^3 + 2*w^2 + 12*w + 1]', '[9917, 9917, w^4 - 3*w^3 - 4*w^2 + 11*w + 5]', '[9925, 1985, 3*w^4 - 6*w^3 - 15*w^2 + 11*w + 8]', '[9931, 9931, -3*w^4 + 5*w^3 + 17*w^2 - 8*w - 4]', '[9931, 9931, -3*w^4 + 5*w^3 + 19*w^2 - 8*w - 12]', '[9931, 9931, -6*w^4 + 11*w^3 + 31*w^2 - 12*w - 11]', '[9937, 9937, 2*w^4 - 7*w^3 + 3*w^2 - 5]', '[9937, 9937, w^4 - w^3 - 6*w^2 - 3*w + 9]', '[9941, 9941, 3*w^4 - w^3 - 27*w^2 - 6*w + 14]', '[9949, 9949, -4*w^4 + 10*w^3 + 15*w^2 - 15*w - 5]', '[9952, 622, -2*w^3 + 4*w^2 + 12*w - 6]', '[9952, 622, 2*w^4 - 6*w^3 - 6*w^2 + 16*w + 2]', '[9952, 622, 2*w^4 - 6*w^3 - 6*w^2 + 16*w + 4]', '[9959, 9959, w^4 - 4*w^3 + 2*w^2 - 2*w - 6]', '[9959, 9959, 5*w^4 - 9*w^3 - 23*w^2 + 2*w + 11]', '[9963, 123, -3*w^4 + 9*w^3 + 6*w^2 - 15*w]', '[9967, 9967, -3*w^4 + 10*w^3 + 3*w^2 - 21*w + 7]', '[9967, 9967, w^4 - 3*w^3 - w^2 + w - 6]', '[9967, 9967, -w^4 + 5*w^3 - 17*w + 1]', '[9973, 9973, 5*w^4 - 10*w^3 - 21*w^2 + 6*w + 9]', '[9973, 9973, 4*w^4 - 8*w^3 - 18*w^2 + 4*w + 3]', '[9977, 9977, w^4 - w^3 - 7*w^2 - 3*w + 12]', '[9991, 9991, -5*w^4 + 6*w^3 + 34*w^2 - 20]'], 'label': '5.5.173513.1', 'narrow_class_no': 1, 'primes': ['[9, 3, -w^4 + 2*w^3 + 4*w^2 - w - 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[13, 13, -w^4 + w^3 + 7*w^2 + w - 5]', '[17, 17, w^4 - 2*w^3 - 5*w^2 + 3*w + 1]', '[19, 19, w^4 - w^3 - 7*w^2 - w + 2]', '[19, 19, -w^3 + 2*w^2 + 4*w - 3]', '[23, 23, -w^3 + 3*w^2 + 2*w - 2]', '[23, 23, -w + 2]', '[25, 5, -w^4 + 2*w^3 + 5*w^2 - 2*w - 1]', '[27, 3, -2*w^4 + 4*w^3 + 9*w^2 - 4*w - 3]', '[31, 31, 2*w^4 - 4*w^3 - 9*w^2 + 4*w + 4]', '[32, 2, -2]', '[41, 41, w^4 - 3*w^3 - 2*w^2 + 5*w]', '[43, 43, w^4 - w^3 - 7*w^2 + 3]', '[47, 47, w^2 - 2*w - 1]', '[53, 53, w^2 - w - 3]', '[67, 67, -w^4 + 2*w^3 + 5*w^2 - 4*w - 2]', '[71, 71, -2*w^4 + 4*w^3 + 10*w^2 - 5*w - 4]', '[73, 73, w^4 - w^3 - 7*w^2 + 6]', '[73, 73, 2*w^4 - 3*w^3 - 11*w^2 - w + 6]', '[79, 79, -w^4 + 2*w^3 + 5*w^2 - 4*w - 4]', '[83, 83, 2*w^4 - 4*w^3 - 9*w^2 + 3*w + 3]', '[89, 89, 3*w^4 - 6*w^3 - 14*w^2 + 6*w + 6]', '[97, 97, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[103, 103, -3*w^4 + 6*w^3 + 13*w^2 - 4*w - 4]', '[107, 107, -2*w^4 + 4*w^3 + 9*w^2 - 3*w - 2]', '[125, 5, w^4 - 2*w^3 - 4*w^2 - w + 2]', '[131, 131, -2*w^3 + 5*w^2 + 6*w - 6]', '[139, 139, w^4 - 2*w^3 - 4*w^2 + 2*w - 2]', '[139, 139, 3*w^4 - 6*w^3 - 14*w^2 + 6*w + 5]', '[151, 151, w^4 - w^3 - 8*w^2 + 7]', '[157, 157, w^4 - 9*w^2 - 5*w + 5]', '[167, 167, 2*w^4 - 3*w^3 - 11*w^2 + w + 4]', '[173, 173, -w^3 + 3*w^2 + w - 4]', '[173, 173, -w^4 + 3*w^3 + 2*w^2 - 5*w - 1]', '[193, 193, -w^4 + w^3 + 7*w^2 + 3*w - 4]', '[193, 193, -3*w^4 + 6*w^3 + 13*w^2 - 4*w - 3]', '[211, 211, -w^3 + w^2 + 5*w]', '[211, 211, -w^4 + 2*w^3 + 4*w^2 - w + 3]', '[223, 223, -w^3 + 3*w^2 + 4*w - 6]', '[223, 223, -w^4 + 2*w^3 + 6*w^2 - 5*w - 5]', '[229, 229, w^3 - w^2 - 6*w - 1]', '[251, 251, 3*w^4 - 6*w^3 - 14*w^2 + 5*w + 7]', '[251, 251, w^4 - 3*w^3 - 2*w^2 + 8*w - 3]', '[251, 251, w - 4]', '[263, 263, 2*w^4 - 4*w^3 - 8*w^2 + 5]', '[269, 269, -w^4 + w^3 + 6*w^2 + 2*w - 4]', '[281, 281, w^4 - w^3 - 6*w^2 - 2*w - 1]', '[293, 293, -2*w^4 + 4*w^3 + 9*w^2 - 2*w - 3]', '[293, 293, 2*w^4 - 4*w^3 - 8*w^2 + 3*w + 1]', '[293, 293, w^4 - 3*w^3 - 2*w^2 + 4*w - 3]', '[293, 293, 2*w - 3]', '[293, 293, -w^4 + 3*w^3 + 3*w^2 - 7*w - 4]', '[307, 307, w^3 - w^2 - 7*w - 1]', '[307, 307, w^4 - w^3 - 7*w^2 - 3*w + 7]', '[311, 311, -w^3 + 2*w^2 + 6*w - 3]', '[311, 311, w^4 - 3*w^3 - 3*w^2 + 8*w + 1]', '[311, 311, w^4 - 3*w^3 - 3*w^2 + 8*w + 2]', '[313, 313, 2*w^3 - 5*w^2 - 7*w + 6]', '[317, 317, 3*w^4 - 5*w^3 - 16*w^2 + 2*w + 5]', '[331, 331, -w^4 + 3*w^3 + 2*w^2 - 5*w - 2]', '[347, 347, w^4 - 9*w^2 - 4*w + 4]', '[349, 349, w^3 - 3*w^2 - 5*w + 5]', '[359, 359, -w^4 + 2*w^3 + 6*w^2 - 4*w - 4]', '[367, 367, -w^4 + 2*w^3 + 5*w^2 - 3*w - 6]', '[373, 373, w^4 - 3*w^3 - w^2 + 3*w - 3]', '[373, 373, 2*w^3 - 4*w^2 - 7*w + 1]', '[373, 373, w^4 - 2*w^3 - 3*w^2 - w - 2]', '[373, 373, w^4 - 3*w^3 - 2*w^2 + 3*w - 2]', '[373, 373, -2*w^4 + 3*w^3 + 12*w^2 - 3*w - 5]', '[379, 379, -w^4 + 3*w^3 + 3*w^2 - 5*w - 3]', '[379, 379, -w^4 + 2*w^3 + 6*w^2 - 4*w - 3]', '[389, 389, -2*w^3 + 4*w^2 + 7*w - 4]', '[389, 389, -w^4 + 3*w^3 + 3*w^2 - 5*w - 2]', '[397, 397, -w^4 + 4*w^3 + w^2 - 10*w + 1]', '[401, 401, -3*w^4 + 5*w^3 + 15*w^2 - 2*w - 8]', '[401, 401, -w^4 + w^3 + 7*w^2 + 3*w - 5]', '[401, 401, -3*w^4 + 6*w^3 + 13*w^2 - 7*w - 5]', '[433, 433, 3*w^4 - 5*w^3 - 16*w^2 + 7]', '[439, 439, w^4 - 4*w^3 + 8*w - 6]', '[443, 443, w^4 - w^3 - 6*w^2 - 3*w + 4]', '[457, 457, 4*w^4 - 7*w^3 - 20*w^2 + 3*w + 9]', '[463, 463, 2*w^4 - 2*w^3 - 14*w^2 - 2*w + 9]', '[463, 463, -w^4 + w^3 + 9*w^2 - 3*w - 8]', '[467, 467, -2*w^4 + 3*w^3 + 12*w^2 - 2*w - 4]', '[479, 479, -w^4 + w^3 + 7*w^2 + 3*w - 6]', '[479, 479, w^4 - 3*w^3 - w^2 + 3*w - 4]', '[487, 487, -w^4 + 2*w^3 + 6*w^2 - 5*w - 4]', '[487, 487, 2*w^3 - 5*w^2 - 5*w + 5]', '[491, 491, -4*w^4 + 8*w^3 + 18*w^2 - 7*w - 9]', '[491, 491, -4*w^4 + 8*w^3 + 19*w^2 - 8*w - 9]', '[521, 521, -2*w^4 + 5*w^3 + 8*w^2 - 9*w - 5]', '[523, 523, 4*w^4 - 6*w^3 - 22*w^2 - 2*w + 9]', '[547, 547, 2*w^4 - 3*w^3 - 13*w^2 + 5*w + 9]', '[557, 557, -2*w^4 + 2*w^3 + 14*w^2 + 3*w - 7]', '[563, 563, -2*w^4 + 5*w^3 + 5*w^2 - 3*w + 2]', '[563, 563, 2*w^4 - 6*w^3 - 4*w^2 + 8*w + 1]', '[563, 563, 4*w^4 - 6*w^3 - 23*w^2 + 2*w + 9]', '[571, 571, -w^4 + 2*w^3 + 4*w^2 - 5]', '[571, 571, -4*w^4 + 9*w^3 + 17*w^2 - 13*w - 7]', '[577, 577, 2*w^3 - 5*w^2 - 7*w + 5]', '[601, 601, -w^4 + 2*w^3 + 6*w^2 - 6*w - 8]', '[617, 617, -2*w^4 + 4*w^3 + 10*w^2 - 7*w - 5]', '[619, 619, w^4 - 2*w^3 - 3*w^2 - 2]', '[647, 647, -w^4 - w^3 + 11*w^2 + 10*w - 6]', '[647, 647, -2*w^4 + 6*w^3 + 4*w^2 - 9*w - 1]', '[659, 659, 3*w^4 - 8*w^3 - 10*w^2 + 14*w + 1]', '[661, 661, -3*w^4 + 6*w^3 + 15*w^2 - 7*w - 6]', '[677, 677, 2*w^4 - 5*w^3 - 6*w^2 + 8*w - 4]', '[683, 683, 2*w^4 - 6*w^3 - 4*w^2 + 9*w - 4]', '[683, 683, 4*w^4 - 9*w^3 - 15*w^2 + 9*w + 1]', '[683, 683, -3*w^4 + 5*w^3 + 15*w^2 - 2*w - 6]', '[691, 691, -2*w^3 + 3*w^2 + 11*w + 1]', '[701, 701, -w^4 - w^3 + 11*w^2 + 10*w - 5]', '[709, 709, 2*w^4 - 3*w^3 - 12*w^2 + w + 4]', '[709, 709, 3*w^4 - 6*w^3 - 13*w^2 + 2*w + 5]', '[733, 733, 3*w^4 - 4*w^3 - 19*w^2 - w + 9]', '[751, 751, 2*w^4 - 6*w^3 - 4*w^2 + 8*w - 3]', '[751, 751, 3*w^4 - 8*w^3 - 9*w^2 + 14*w]', '[757, 757, -w^4 + 8*w^2 + 9*w - 2]', '[757, 757, -w^4 + 11*w^2 + w - 10]', '[761, 761, 2*w^4 - 3*w^3 - 11*w^2 - 2*w + 6]', '[761, 761, 3*w^4 - 4*w^3 - 18*w^2 - w + 4]', '[787, 787, -3*w^4 + 6*w^3 + 13*w^2 - 7*w - 2]', '[787, 787, -5*w^4 + 10*w^3 + 23*w^2 - 11*w - 9]', '[809, 809, 4*w^4 - 8*w^3 - 18*w^2 + 7*w + 4]', '[811, 811, w^4 - 3*w^3 - 2*w^2 + 4*w + 4]', '[821, 821, -2*w^4 + 4*w^3 + 10*w^2 - 5*w - 10]', '[821, 821, -w^4 + w^3 + 7*w^2 - w - 7]', '[821, 821, -4*w^4 + 8*w^3 + 18*w^2 - 9*w - 7]', '[827, 827, -w^3 + 3*w^2 + 4*w - 7]', '[827, 827, -2*w^4 + 2*w^3 + 14*w^2 + w - 10]', '[827, 827, -w^4 + w^3 + 9*w^2 - 3*w - 6]', '[829, 829, w^4 - 3*w^3 - w^2 + 4*w - 4]', '[829, 829, 2*w^4 - 5*w^3 - 7*w^2 + 9*w + 3]', '[829, 829, -2*w^4 + 5*w^3 + 8*w^2 - 10*w - 7]', '[839, 839, -w^4 + w^3 + 6*w^2 + 3*w - 5]', '[853, 853, -2*w^4 + 4*w^3 + 8*w^2 - 3*w + 4]', '[859, 859, -3*w^4 + 6*w^3 + 13*w^2 - 7*w]', '[863, 863, 2*w^4 - 3*w^3 - 12*w^2 - w + 7]', '[863, 863, 3*w^4 - 5*w^3 - 17*w^2 + 5*w + 7]', '[877, 877, -3*w^4 + 6*w^3 + 14*w^2 - 5*w - 5]', '[881, 881, -3*w^4 + 6*w^3 + 13*w^2 - 5*w - 5]', '[881, 881, -w^4 + 4*w^3 + w^2 - 9*w + 1]', '[883, 883, -w^4 + 4*w^3 - 7*w]', '[883, 883, -w^4 + 4*w^3 - 7*w + 5]', '[887, 887, -2*w^4 + 4*w^3 + 9*w^2 - 7*w - 1]', '[907, 907, 4*w^4 - 9*w^3 - 16*w^2 + 12*w + 6]', '[911, 911, -2*w^4 + 5*w^3 + 8*w^2 - 8*w - 4]', '[919, 919, -w^3 + 4*w^2 - 6]', '[919, 919, -3*w^3 + 7*w^2 + 10*w - 7]', '[929, 929, w^4 - 5*w^3 + 3*w^2 + 11*w - 5]', '[929, 929, w^4 - 9*w^2 - 4*w + 7]', '[937, 937, w^4 - 4*w^3 + 7*w + 1]', '[947, 947, 3*w^4 - 3*w^3 - 21*w^2 - 3*w + 11]', '[947, 947, 3*w^4 - 7*w^3 - 11*w^2 + 7*w + 3]', '[967, 967, w^4 - 9*w^2 - 4*w + 6]', '[971, 971, -2*w^4 + 3*w^3 + 12*w^2 - 2*w - 11]', '[991, 991, w^4 - 11*w^2 - 2*w + 10]', '[997, 997, -3*w^4 + 4*w^3 + 19*w^2 + w - 10]', '[997, 997, -5*w^4 + 9*w^3 + 25*w^2 - 7*w - 8]']}
• 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': [-1, 3, 3, -5, -2, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 173513, 'disc_rad': 173513, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[3, 1], [2, 1]]], [5, [[3, 1], [2, 1]]], [7, [[5, 1]]], [11, [[4, 1], [1, 1]]], [13, [[4, 1], [1, 1]]], [17, [[4, 1], [1, 1]]], [19, [[3, 1], [1, 2]]], [23, [[3, 1], [1, 2]]], [29, [[5, 1]]], [31, [[4, 1], [1, 1]]], [37, [[3, 1], [2, 1]]], [41, [[2, 2], [1, 1]]], [43, [[4, 1], [1, 1]]], [47, [[2, 2], [1, 1]]], [53, [[2, 2], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 416.5489166952664, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.173513.1', 'local_algs': ['167.2.1.2', '167.3.0.1', 'm1039.2.1.1', 'm1039.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [167, 1039], 'rd': 11.1651973477, 'regulator': {'__RealLiteral__': 0, 'data': '7.25222447496', 'prec': 44}, 'res': {'sib': ['-125,425,17070,21748,-345276,-626637,2541943,4712446,-9570808,-16383631,20848640,31749594,-28224884,-37290072,24985638,27679327,-14987148,-13253137,6180027,4102943,-1735416,-807753,321135,97374,-37051,-6736,2459,236,-82,-3,1', '-15529,-108722,40639,428128,-28683,-385328,2160,130085,179,-20711,-2,1673,-1,-66,0,1', '-19,-123,60,310,-148,-188,95,35,-18,-2,1', '-307,730,7572,-509,-44886,-30838,90024,98597,-67576,-116197,6779,61588,13067,-15042,-5618,1525,819,-53,-49,0,1', '-418834781157029449,-506107229941112631,17175265932869200530,-7983207850277469762,-108774845866633651152,140343476495615065241,133357983592666757835,-289134241301623418869,-25942328022990915575,264684055774685541027,-57291509684840866481,-137175166458900958083,53502861666626194457,44603726820044913665,-23473553694029388936,-9576605536489123523,6382265492581809695,1388724341661020548,-1175245549348237805,-136059240163375144,152905281594296358,8765723589822405,-14385873540290247,-340411611033046,991143689232718,5473865255370,-50236551961372,125253479928,1867013800179,-7547134137,-50250209087,96718359,956634611,1493227,-12394566,-56162,102723,576,-487,-2,1', '-5022108820849,45624186074,206810549101,-1808131230,-1327839969,4648608,3053961,-2944,-2930,0,1', '-87935459363010887,-213341252150976505,100475325222632714,460697030139738786,-33550965225859332,-415586395355198258,13223520263694228,203178307814258054,-12293479346273991,-59044682084894973,5726942236047567,10742256178364760,-1357350179584573,-1268602074577717,186848608411899,99428893842817,-16037601675421,-5219817570616,887126533062,183118731343,-31940031233,-4237570705,744044520,63049290,-10989443,-573635,98479,2873,-485,-6,1', '-9142673681,-4820776764699,-95636163622492,-147723349755075,164771683588570,368031267418476,-57491007603371,-337886990675434,-37301604101246,160484797193321,37175197147700,-44807601746890,-13595131534089,7835549759916,2792690471767,-887723700205,-359491863851,66238963542,30399577682,-3261756080,-1725282778,104359290,65941817,-2077582,-1670987,23292,26870,-112,-248,0,1', '1275047259,-2739625954,-7766456523,2810877485,10532717488,120123288,-5885908705,-965906500,1545464090,355832160,-199168605,-47298970,14588750,2964635,-641966,-92052,16233,1324,-206,-7,1', '15796,11111,-15342,4183,-356,-2,1', '3276171047464,49677499554570,269985261220175,650299932352839,723694679238330,338984094869521,-26861560858094,-97346716561395,-34264043735729,1848234189573,3863024605495,636712415935,-136554468268,-51090948147,-211570943,1695443164,138887836,-28693228,-3988229,245172,52964,-846,-356,0,1', '5684,44157,21172,-104821,-9573,67165,-10632,-9542,1724,430,-75,-6,1', '6195088347498133,-3053604541125676,-2798960962590537,999292689619743,531025490385459,-109368987837128,-50605566432772,5472905412991,2637087800451,-143817324032,-81462589235,2014266428,1561565857,-12546449,-18782294,-13020,138013,561,-567,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} - 2 a^{2} - 4 a + 1 \\)', '\\( a^{4} - 2 a^{3} - 5 a^{2} + 3 a + 2 \\)', '\\( a^{3} - 2 a^{2} - 4 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}