Hilbert modular form data - 3.3.1257.1-13.3-b

Formats: - HTML - YAML - JSON - 2024-06-08T22:07:56.765266

• 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': 3, 'dimension': 1, 'disc': 1257, 'field_bad_primes': [3, 419], 'field_label': '3.3.1257.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '3.3.1257.1-13.3-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [13], 'level_ideal': '[13, 13, -w^2 - w + 4]', 'level_label': '13.3', 'level_norm': 13, 'parallel_weight': 2, 'short_label': '13.3-b', 'weight': '[2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[13, 13, -w^2 - w + 4]', 1]], 'hecke_eigenvalues': [1, 2, 0, 0, -4, -5, -1, -2, 3, 1, 9, -5, 0, -3, 12, 8, 4, -6, -15, -6, 3, 3, -15, 4, -12, -20, 2, -18, -9, -18, 2, 0, 20, 12, 5, 9, -16, -25, 2, 4, -10, -21, 0, -12, 14, 0, -3, 12, -26, 24, -9, -18, 16, -8, -30, 13, 24, -2, 30, 9, 24, -8, 10, 22, -23, -22, 2, -15, 26, 10, 28, -6, 6, -24, 3, 24, -30, 25, 26, 6, 24, 0, -24, -29, 30, 9, 6, -1, -18, 2, 15, -12, -3, 22, -33, 12, -34, 22, 22, 14, 30, 6, 20, 10, 19, 21, 25, 42, 3, -6, 0, -8, 16, 15, -26, 7, -31, -48, 40, 24, 8, 10, -21, 17, 4, 6, -23, -20, -12, 40, 21, 30, -30, -4, -13, 14, -48, -24, 6, -29, 27, -14, -27, 29, -33, -5, 18, 18, 33, -13, 14, 32, -51, 42, 51, 26, -8, -35, 18, -18, -2, 6, -44, 54, -60, 29, -28], 'hecke_polynomial': 'x', 'label': '3.3.1257.1-13.3-b'}
• hmf_fields •

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

  
  {'degree': 3, 'discriminant': 1257, 'ideals': ['[1, 1, 1]', '[3, 3, -w + 3]', '[3, 3, w - 2]', '[5, 5, w^2 + w - 5]', '[8, 2, 2]', '[9, 3, w^2 + w - 6]', '[9, 3, w^2 + 2*w - 2]', '[9, 9, w]', '[13, 13, w + 2]', '[13, 13, -2*w + 5]', '[13, 13, -w^2 - w + 4]', '[15, 15, w + 1]', '[15, 15, w^2 - 6]', '[19, 19, -w^2 + w + 4]', '[23, 23, -w^2 - w + 7]', '[24, 6, -2*w + 6]', '[24, 6, 2*w - 4]', '[25, 5, w^2 - 2*w - 1]', '[25, 25, -w + 4]', '[27, 3, 3]', '[27, 9, w^2 + w - 9]', '[27, 9, w^2 + 2*w - 5]', '[27, 27, -w^2 + 3*w]', '[29, 29, w^2 - 5]', '[31, 31, w^2 + w - 8]', '[39, 39, -w - 4]', '[39, 39, -w^2 + w + 3]', '[39, 39, -w^2 + w + 6]', '[39, 39, w^2 - 10]', '[39, 39, w^2 - 4]', '[39, 39, -w^2 + 3]', '[40, 10, 2*w^2 + 2*w - 10]', '[41, 41, w^2 + w - 11]', '[45, 15, -w^2 + 2*w + 3]', '[45, 15, w^2 - w - 2]', '[45, 45, 2*w^2 + 3*w - 9]', '[47, 47, w^2 + 2*w - 1]', '[57, 57, -w^2 - 2*w + 6]', '[57, 57, -2*w^2 - 3*w + 5]', '[59, 59, w^2 + w - 1]', '[61, 61, -w^2 + 5*w - 7]', '[64, 4, 4]', '[65, 65, 2*w^2 - w - 13]', '[65, 65, 3*w - 7]', '[65, 65, w^2 - w - 7]', '[67, 67, 2*w^2 - 13]', '[69, 69, -w^2 - 2*w + 12]', '[69, 69, w - 5]', '[72, 6, 2*w^2 + 2*w - 12]', '[72, 6, 2*w^2 + 4*w - 4]', '[72, 18, 2*w]', '[75, 15, 2*w^2 + w - 12]', '[75, 15, w^2 + 3*w - 1]', '[75, 75, w^2 + 3*w - 3]', '[75, 75, 3*w^2 + 4*w - 14]', '[81, 9, -3*w + 9]', '[81, 9, -w^2 + w + 8]', '[81, 9, 3*w - 6]', '[81, 27, 2*w^2 + 2*w - 9]', '[81, 81, -w^2 + w + 9]', '[87, 87, 2*w^2 - 3*w - 6]', '[87, 87, -w^2 + 3*w + 1]', '[89, 89, -2*w^2 + w + 20]', '[89, 89, 5*w^2 + 8*w - 19]', '[89, 89, w^2 + 2*w - 7]', '[93, 93, w^2 + 3*w - 15]', '[93, 93, -2*w + 7]', '[95, 95, w^2 - 11]', '[101, 101, -w - 5]', '[101, 101, w^2 - 2*w - 4]', '[101, 101, -2*w - 1]', '[103, 103, -3*w^2 - 2*w + 20]', '[104, 26, 2*w + 4]', '[104, 26, -4*w + 10]', '[104, 26, -2*w^2 - 2*w + 8]', '[107, 107, 2*w^2 + 3*w - 10]', '[109, 109, -3*w^2 - 3*w + 17]', '[115, 115, -3*w^2 - 5*w + 8]', '[117, 39, -2*w^2 - w + 19]', '[117, 39, 2*w^2 - 4*w - 3]', '[117, 39, w^2 + w - 12]', '[117, 39, -w^2 - 2*w + 8]', '[117, 39, 2*w^2 + 2*w - 21]', '[117, 39, -w^2 - 2*w + 11]', '[117, 117, -2*w^2 - 4*w + 9]', '[117, 117, w^2 + 2*w]', '[117, 117, -2*w^2 + 5*w]', '[120, 30, 2*w + 2]', '[120, 30, 2*w^2 - 12]', '[123, 123, -5*w + 13]', '[123, 123, w^2 + 6*w - 24]', '[125, 5, 5]', '[125, 125, 2*w^2 + w - 11]', '[127, 127, 2*w^2 - w - 14]', '[131, 131, -2*w^2 - 2*w + 13]', '[135, 15, 3*w^2 + 3*w - 15]', '[135, 45, -w^2 - 2*w + 14]', '[135, 45, w^2 + w]', '[135, 135, w^2 + 2*w - 9]', '[137, 137, w^2 + 2*w - 10]', '[141, 141, w^2 + 3*w - 7]', '[141, 141, -w + 6]', '[145, 145, 2*w + 7]', '[149, 149, 2*w^2 + 2*w - 19]', '[152, 38, -2*w^2 + 2*w + 8]', '[155, 155, -w^2 + 2*w + 13]', '[163, 163, w^2 - 2*w - 5]', '[169, 13, -2*w^2 + w + 10]', '[169, 13, -w^2 + 3*w + 2]', '[169, 13, -4*w^2 - 6*w + 17]', '[169, 169, -2*w^2 + 4*w + 5]', '[169, 169, 3*w - 1]', '[169, 169, 4*w^2 + 8*w - 13]', '[171, 57, -2*w^2 - w + 10]', '[171, 57, 2*w^2 - w - 15]', '[171, 171, -4*w + 9]', '[173, 173, 3*w^2 - 20]', '[177, 177, 5*w - 7]', '[177, 177, w^2 - 4*w + 6]', '[181, 181, 2*w^2 - w - 17]', '[183, 183, w^2 - 12]', '[183, 183, -2*w^2 - 3*w + 11]', '[184, 46, -2*w^2 - 2*w + 14]', '[191, 191, 2*w^2 - w - 16]', '[192, 12, -4*w + 12]', '[192, 12, 4*w - 8]', '[193, 193, 2*w^2 - 2*w - 11]', '[195, 195, -w - 6]', '[195, 195, w^2 + 3*w + 2]', '[195, 195, -2*w^2 + 3*w + 5]', '[195, 195, -3*w^2 - 5*w + 13]', '[195, 195, 2*w^2 + w - 6]', '[195, 195, -2*w^2 - 4*w + 3]', '[197, 197, -7*w^2 - 13*w + 23]', '[199, 199, -2*w^2 - 5*w + 4]', '[199, 199, -w^2 + w + 13]', '[199, 199, -w^2 - 4*w - 2]', '[200, 10, 2*w^2 - 4*w - 2]', '[200, 50, -2*w + 8]', '[201, 201, -2*w^2 + 3*w + 8]', '[201, 201, 4*w^2 - 3*w - 21]', '[205, 205, -4*w^2 - w + 28]', '[207, 69, -4*w^2 + w + 26]', '[207, 69, -2*w^2 - 5*w + 6]', '[207, 207, -2*w^2 - w + 9]', '[211, 211, w^2 + 3*w - 14]', '[216, 6, 6]', '[216, 18, 2*w^2 + 2*w - 18]', '[216, 18, 2*w^2 + 4*w - 10]', '[216, 54, -2*w^2 + 6*w]', '[223, 223, 3*w - 10]', '[225, 15, 2*w^2 + w - 7]', '[225, 15, -w^2 + 2*w + 6]', '[225, 45, 3*w^2 - w - 18]', '[225, 75, w^2 + 2*w + 1]', '[225, 75, 2*w^2 + 2*w - 15]', '[225, 225, -w^2 + 4*w]', '[227, 227, 2*w^2 + w - 8]', '[227, 227, -2*w^2 - 5*w + 5]', '[227, 227, 5*w^2 + 7*w - 20]', '[229, 229, w^2 + w - 13]', '[232, 58, 2*w^2 - 10]', '[233, 233, -2*w^2 - 5*w + 1]', '[233, 233, 3*w^2 + 3*w - 14]', '[233, 233, 3*w^2 + 2*w - 17]', '[235, 235, 2*w^2 - 4*w - 1]', '[241, 241, 3*w^2 + w - 19]', '[243, 9, 3*w^2 + 3*w - 18]', '[243, 9, 3*w^2 + 6*w - 6]', '[243, 27, 3*w]', '[243, 27, 2*w^2 - 2*w - 7]', '[243, 81, 2*w^2 - w - 9]', '[243, 243, -3*w^2 + 2*w + 18]', '[247, 247, w^2 + w + 1]', '[247, 247, -2*w^2 - 2*w + 17]', '[247, 247, -w + 7]', '[248, 62, 2*w^2 + 2*w - 16]', '[251, 251, 2*w^2 + w - 20]', '[257, 257, 3*w + 7]', '[261, 87, 4*w^2 + 5*w - 17]', '[261, 87, -w^2 + 2*w + 12]', '[261, 261, w^2 + 3*w - 9]', '[267, 267, -5*w^2 - w + 42]', '[267, 267, 3*w^2 + 5*w - 7]', '[267, 267, 5*w - 12]', '[267, 267, 2*w^2 + 3*w - 12]', '[267, 267, 3*w^2 + 2*w - 22]', '[267, 267, w^2 - 3*w + 5]', '[269, 269, 5*w^2 + 4*w - 29]', '[271, 271, -2*w^2 + 3*w + 4]', '[277, 277, 5*w^2 + 8*w - 20]', '[279, 93, 4*w^2 + 5*w - 20]', '[279, 93, -2*w^2 + w + 21]', '[279, 279, 2*w^2 - 9]', '[281, 281, w^2 - 2*w - 7]', '[283, 283, -3*w^2 + 19]', '[285, 285, -w^2 - 3*w + 13]', '[285, 285, -3*w^2 - 7*w + 6]', '[293, 293, -2*w^2 + 7*w - 2]', '[295, 295, 6*w^2 + 9*w - 22]', '[299, 299, -3*w^2 - 6*w + 13]', '[299, 299, w^2 + 4*w + 1]', '[299, 299, -w^2 - 3*w + 17]', '[303, 303, 2*w^2 - 5*w - 3]', '[303, 303, -w^2 - 3*w + 10]', '[303, 303, -3*w^2 + 8*w - 1]', '[303, 303, w^2 + 2*w - 15]', '[303, 303, 4*w^2 - 10*w - 3]', '[303, 303, -2*w^2 + 3*w + 2]', '[305, 305, -2*w^2 + w + 8]', '[307, 307, 3*w^2 + 3*w - 13]', '[309, 309, w^2 - 13]', '[309, 309, -4*w^2 - 2*w + 33]', '[311, 311, -3*w - 1]', '[311, 311, -3*w^2 + 7*w + 2]', '[311, 311, 5*w^2 + 6*w - 25]', '[312, 78, -2*w - 8]', '[312, 78, -2*w^2 + 2*w + 6]', '[312, 78, -2*w^2 + 2*w + 12]', '[312, 78, 2*w^2 - 20]', '[312, 78, 2*w^2 - 8]', '[312, 78, -2*w^2 + 6]', '[313, 313, 3*w^2 + 2*w - 23]', '[320, 20, 4*w^2 + 4*w - 20]', '[321, 321, w^2 + 2]', '[321, 321, w^2 + 3*w - 12]', '[325, 65, w^2 + 3*w - 11]', '[325, 65, w^2 - 2*w - 11]', '[325, 65, -w^2 + 2*w - 4]', '[325, 325, -2*w^2 + 7]', '[325, 325, -3*w^2 - 3*w + 10]', '[325, 325, -w^2 + 2*w + 8]', '[327, 327, -w - 7]', '[327, 327, -3*w^2 - 2*w + 24]', '[328, 82, 2*w^2 + 2*w - 22]', '[331, 331, 2*w^2 + 4*w - 11]', '[335, 335, -3*w^2 + w + 29]', '[337, 337, -4*w^2 - 4*w + 23]', '[337, 337, 6*w^2 + 3*w - 40]', '[337, 337, -3*w - 10]', '[343, 7, -7]', '[345, 345, -w^2 + w - 3]', '[345, 345, -3*w^2 - 2*w + 16]', '[347, 347, 3*w^2 + 4*w - 16]', '[349, 349, w^2 + 5*w + 5]', '[349, 349, 2*w^2 - w - 7]', '[349, 349, 5*w - 11]', '[351, 39, 3*w + 6]', '[351, 39, -6*w + 15]', '[351, 39, -3*w^2 - 3*w + 12]', '[351, 117, -w^2 + 4*w - 7]', '[351, 117, w^2 - 2*w - 9]', '[351, 117, w^2 + 4*w - 9]', '[351, 117, -5*w^2 - 10*w + 16]', '[351, 117, 5*w^2 + 7*w - 19]', '[351, 117, -w^2 - 4*w]', '[351, 351, -2*w + 9]', '[351, 351, -3*w^2 - w + 18]', '[351, 351, -5*w + 9]', '[353, 353, 2*w^2 + 3*w - 13]', '[353, 353, w^2 - 2*w - 10]', '[353, 353, 2*w^2 - 2*w - 5]', '[359, 359, w^2 - 4*w - 1]', '[359, 359, 2*w^2 - w - 5]', '[359, 359, -5*w^2 - 3*w + 34]', '[360, 30, -2*w^2 + 4*w + 6]', '[360, 30, 2*w^2 - 2*w - 4]', '[360, 90, 4*w^2 + 6*w - 18]', '[361, 19, 4*w^2 + 5*w - 16]', '[361, 361, w^2 + 4*w - 1]', '[367, 367, -3*w - 2]', '[369, 123, -5*w^2 - 2*w + 39]', '[369, 123, w^2 - w - 14]', '[369, 369, 2*w^2 - 3*w - 9]', '[375, 15, -5*w + 15]', '[375, 15, 5*w - 10]', '[375, 375, -w^2 + 3*w + 4]', '[375, 375, 3*w^2 - 2*w - 15]', '[376, 94, 2*w^2 + 4*w - 2]', '[377, 377, 3*w^2 - 6*w - 7]', '[377, 377, -w^2 - 2*w - 2]', '[377, 377, 3*w^2 + 3*w - 19]', '[381, 381, 5*w^2 - 5*w - 24]', '[381, 381, -3*w^2 + 4*w + 10]', '[383, 383, -5*w^2 - 5*w + 28]', '[383, 383, w^2 + w - 14]', '[383, 383, 3*w^2 - w - 17]', '[389, 389, 6*w^2 + 9*w - 25]', '[393, 393, -2*w^2 - 3*w + 21]', '[393, 393, w - 8]', '[397, 397, -7*w^2 - 10*w + 28]', '[401, 401, -w^2 - w - 2]', '[403, 403, w^2 + 5*w - 22]', '[403, 403, -3*w - 5]', '[403, 403, 4*w^2 + 2*w - 25]', '[405, 45, 3*w + 3]', '[405, 45, 4*w^2 + 5*w - 14]', '[405, 45, 3*w^2 - 18]', '[405, 135, w^2 - 5*w + 9]', '[405, 405, 5*w^2 + 7*w - 18]', '[411, 411, w^2 - 6*w + 11]', '[411, 411, 8*w - 21]', '[419, 419, 3*w - 11]', '[419, 419, -3*w - 4]', '[421, 421, 3*w^2 + w - 28]', '[423, 141, 2*w^2 - 5*w + 5]', '[423, 141, -w^2 + 8*w - 12]', '[423, 423, 3*w^2 + 7*w - 9]', '[431, 431, -2*w^2 + 6*w + 1]', '[433, 433, 4*w - 13]', '[435, 435, 2*w^2 + 3*w - 14]', '[435, 435, -2*w^2 - w + 21]', '[437, 437, -3*w^2 + 2*w + 19]', '[445, 445, 2*w^2 + 6*w - 1]', '[445, 445, 4*w - 1]', '[445, 445, 4*w^2 - w - 25]', '[447, 447, -7*w + 20]', '[447, 447, 2*w^2 + 9*w - 39]', '[449, 449, -w^2 - 4*w - 5]', '[449, 449, w^2 + 4*w - 10]', '[449, 449, w^2 + 4*w - 16]', '[456, 114, -2*w^2 - 4*w + 12]', '[456, 114, -4*w^2 - 6*w + 10]', '[463, 463, 7*w^2 + 12*w - 26]', '[465, 465, 3*w^2 + w - 17]', '[465, 465, -4*w^2 + w + 30]', '[467, 467, -5*w^2 - 9*w + 13]', '[472, 118, 2*w^2 + 2*w - 2]', '[475, 95, -2*w^2 - 6*w + 7]', '[475, 475, -4*w^2 - 7*w + 17]', '[479, 479, w^2 - 14]', '[487, 487, w^2 - 3*w - 5]', '[488, 122, -2*w^2 + 10*w - 14]', '[489, 489, 4*w^2 - 9*w - 6]', '[489, 489, -3*w^2 + 7*w + 1]', '[499, 499, 4*w^2 + 4*w - 19]', '[499, 499, -5*w^2 - 3*w + 31]', '[499, 499, -3*w^2 - 6*w + 5]', '[503, 503, -w - 8]', '[505, 505, -5*w^2 - 7*w + 23]', '[505, 505, -3*w^2 + 6*w + 4]', '[505, 505, -3*w^2 - 3*w + 20]', '[507, 39, -2*w^2 - 3*w + 15]', '[507, 39, -3*w^2 - 5*w + 15]', '[507, 39, 3*w^2 + 4*w - 6]', '[507, 39, -6*w^2 - 10*w + 17]', '[507, 39, 6*w^2 + 8*w - 25]', '[507, 39, -2*w^2 - 3*w + 2]', '[507, 507, w^2 + 3]', '[507, 507, 3*w^2 + 4*w - 17]', '[507, 507, 4*w^2 + 3*w - 22]', '[507, 507, -4*w^2 - 3*w + 39]', '[507, 507, 2*w^2 + 3*w - 20]', '[507, 507, -2*w^2 + 21]', '[512, 8, 8]', '[513, 57, -3*w^2 + 3*w + 12]', '[513, 171, -2*w^2 - 5*w]', '[513, 171, w^2 - 4*w - 2]', '[513, 513, -3*w^2 - 2*w + 9]', '[515, 515, 3*w^2 - 3*w - 16]', '[519, 519, -3*w^2 + 4*w + 13]', '[519, 519, 6*w^2 - 4*w - 33]', '[520, 130, 4*w^2 - 2*w - 26]', '[520, 130, 6*w - 14]', '[520, 130, 2*w^2 - 2*w - 14]', '[521, 521, 4*w^2 + w - 26]', '[523, 523, w^2 + 2*w - 16]', '[529, 23, w^2 + 4*w - 11]', '[529, 529, w^2 + 5*w - 4]', '[531, 177, 5*w^2 + 8*w - 21]', '[531, 177, 11*w^2 + 19*w - 34]', '[531, 531, 2*w^2 + 7*w - 9]', '[533, 533, 4*w^2 - w - 31]', '[533, 533, w^2 + 11*w - 37]', '[533, 533, 3*w^2 - 17]', '[535, 535, 6*w^2 + 13*w - 13]', '[536, 134, 4*w^2 - 26]', '[543, 543, -3*w^2 + w + 16]', '[543, 543, 5*w^2 - 2*w - 33]', '[545, 545, 2*w^2 - 3*w - 10]', '[547, 547, 5*w^2 + 6*w - 22]', '[549, 183, -w^2 - 4*w + 15]', '[549, 183, -w^2 + w - 4]', '[549, 549, 2*w^2 + 4*w - 27]', '[551, 551, w^2 + 4*w - 20]', '[552, 138, -2*w^2 - 4*w + 24]', '[552, 138, 2*w - 10]', '[563, 563, 2*w^2 + 3*w - 16]', '[573, 573, 5*w^2 - 3*w - 30]', '[573, 573, -3*w^2 + 2*w + 14]', '[575, 115, 2*w^2 - 4*w - 7]', '[575, 575, -2*w^2 - 3*w + 19]', '[576, 12, 4*w^2 + 4*w - 24]', '[576, 12, 4*w^2 + 8*w - 8]', '[576, 36, 4*w]', '[577, 577, 3*w^2 + w - 16]', '[579, 579, 6*w^2 - 11*w - 15]', '[579, 579, -4*w^2 + 9*w + 4]', '[585, 195, 2*w^2 - 2*w - 19]', '[585, 195, -w^2 - 4*w + 12]', '[585, 195, 2*w^2 + 4*w - 13]', '[585, 195, -w^2 - w + 15]', '[585, 195, -w^2 - 5*w - 4]', '[585, 195, -2*w^2 - 5*w + 12]', '[585, 585, 4*w^2 + 3*w - 36]', '[585, 585, w^2 + 3*w - 18]', '[585, 585, w - 9]', '[589, 589, 4*w^2 - 3*w - 23]', '[591, 591, -6*w^2 - 7*w + 17]', '[591, 591, -w^2 - 6*w + 6]', '[593, 593, 5*w^2 - w - 37]', '[593, 593, 3*w^2 + 3*w - 28]', '[593, 593, 7*w^2 + 11*w - 28]', '[597, 597, -3*w^2 - 2*w + 10]', '[597, 597, -3*w^2 - 2*w + 13]', '[597, 597, -3*w^2 - 2*w + 30]', '[597, 597, w^2 - 3*w - 6]', '[597, 597, 2*w^2 + 3*w - 17]', '[597, 597, 2*w^2 - 2*w - 15]', '[599, 599, 2*w^2 + 2*w - 23]', '[600, 30, 4*w^2 + 2*w - 24]', '[600, 30, 2*w^2 + 6*w - 2]', '[600, 150, 2*w^2 + 6*w - 6]', '[600, 150, 6*w^2 + 8*w - 28]', '[601, 601, w^2 + 4*w - 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13*w + 92]', '[9633, 741, -3*w^2 + 8*w + 15]', '[9633, 741, -6*w^2 + 5*w + 12]', '[9633, 741, -7*w^2 + 9*w + 33]', '[9633, 741, 6*w^2 - 4*w - 19]', '[9633, 741, w^2 - 3*w - 28]', '[9633, 741, 7*w^2 + 3*w - 22]', '[9633, 9633, 6*w^2 + 2*w - 61]', '[9633, 9633, 5*w^2 - 6*w - 32]', '[9633, 9633, -9*w^2 - 8*w + 60]', '[9633, 9633, -6*w^2 - 13*w + 5]', '[9633, 9633, -7*w^2 + 12*w + 12]', '[9633, 9633, -13*w^2 + 3*w + 84]', '[9635, 9635, -15*w^2 - 11*w + 89]', '[9637, 9637, 10*w^2 + 7*w - 55]', '[9637, 9637, 5*w^2 + 8*w - 50]', '[9640, 2410, -4*w^2 + 10*w + 64]', '[9641, 9641, 7*w^2 + w - 35]', '[9641, 9641, 3*w^2 - 10*w - 56]', '[9641, 9641, -9*w^2 - 16*w + 19]', '[9643, 9643, 13*w^2 + 22*w - 53]', '[9645, 9645, -16*w^2 + 4*w + 105]', '[9645, 9645, 7*w^2 - 6*w - 43]', '[9651, 9651, -8*w^2 - 9*w + 50]', '[9651, 9651, 8*w^2 + w - 75]', '[9659, 9659, 8*w^2 + 19*w - 20]', '[9659, 9659, 2*w^2 - 20*w + 31]', '[9659, 9659, -15*w^2 - 21*w + 50]', '[9661, 9661, 9*w^2 + 14*w - 44]', '[9663, 9663, -12*w^2 + 43*w - 24]', '[9663, 9663, -6*w^2 + 5*w + 17]', '[9663, 9663, 8*w^2 + 9*w - 87]', '[9663, 9663, 7*w^2 - 10*w - 30]', '[9663, 9663, 11*w^2 - 33*w + 19]', '[9663, 9663, -4*w^2 - 9*w + 46]', '[9665, 9665, 9*w^2 - 9*w - 38]', '[9665, 9665, -11*w^2 - 10*w + 56]', '[9665, 9665, -17*w^2 - 9*w + 118]', '[9672, 2418, -12*w^2 - 8*w + 82]', '[9672, 2418, -16*w^2 - 6*w + 124]', '[9672, 2418, 12*w^2 - 2*w - 78]', '[9672, 2418, 2*w^2 - 8*w - 12]', '[9672, 2418, 6*w^2 - 8*w - 30]', '[9672, 2418, -4*w^2 + 6*w + 28]', '[9679, 9679, 2*w^2 + 11*w - 35]', '[9683, 9683, 17*w^2 + 6*w - 133]', '[9685, 9685, -17*w^2 + 3*w + 115]', '[9685, 9685, -2*w^2 - 23*w + 79]', '[9685, 9685, -28*w^2 + 5*w + 193]', '[9687, 9687, 6*w^2 - 5*w - 42]', '[9687, 9687, -7*w^2 - 3*w + 31]', '[9689, 9689, 17*w^2 + 26*w - 70]', '[9693, 1077, 3*w^2 - 12*w - 3]', '[9693, 1077, 6*w^2 - 3*w - 15]', '[9693, 1077, -15*w^2 - 9*w + 102]', '[9693, 3231, -5*w^2 + 10*w + 18]', '[9693, 3231, -5*w^2 - 16*w - 8]', '[9693, 3231, -7*w^2 + w + 14]', '[9693, 3231, 2*w^2 - 7*w - 18]', '[9693, 3231, -8*w^2 + 10*w + 27]', '[9693, 3231, 4*w^2 + 17*w - 20]', '[9693, 9693, -10*w^2 + w + 63]', '[9693, 9693, -9*w^2 + 43*w - 45]', '[9693, 9693, -13*w^2 + 54*w - 54]', '[9697, 9697, 13*w^2 + 13*w - 74]', '[9697, 9697, 20*w^2 + 27*w - 85]', '[9697, 9697, w^2 - 8*w - 11]', '[9701, 9701, -4*w^2 - 14*w - 11]', '[9701, 9701, -2*w^2 - 11]', '[9701, 9701, 25*w^2 + 36*w - 101]', '[9703, 9703, 2*w^2 - 10*w - 5]', '[9704, 2426, 10*w^2 + 16*w - 46]', '[9704, 2426, 6*w^2 - 6*w - 14]', '[9704, 2426, 8*w^2 - 4*w - 58]', '[9715, 9715, -18*w^2 - 6*w + 127]', '[9720, 90, -6*w^2 + 12*w + 18]', '[9720, 90, 6*w^2 - 6*w - 12]', '[9720, 270, -2*w^2 + 2*w + 34]', '[9720, 270, 12*w^2 + 18*w - 54]', '[9720, 810, -2*w^2 + 4*w + 36]', '[9720, 2430, 6*w^2 - 2*w - 18]', '[9725, 1945, 2*w^2 + 11*w - 2]', '[9725, 9725, 9*w^2 + 13*w - 46]', '[9728, 152, -8*w^2 + 8*w + 32]', '[9729, 3243, -w^2 + 11*w - 30]', '[9729, 3243, -w^2 - 14*w + 26]', '[9729, 9729, -14*w^2 - 19*w + 54]', '[9733, 9733, 3*w^2 - 40]', '[9736, 2434, -10*w^2 - 2*w + 64]', '[9739, 9739, 9*w^2 + 9*w - 34]', '[9739, 9739, 6*w^2 - 2*w - 19]', '[9739, 9739, 8*w^2 + 3*w - 76]', '[9743, 9743, w^2 + 12*w + 22]', '[9745, 9745, -7*w^2 + 14*w + 1]', '[9747, 57, 12*w^2 + 15*w - 48]', '[9747, 171, 7*w^2 + 4*w - 9]', '[9747, 171, 23*w^2 + 43*w - 73]', '[9747, 513, 2*w^2 + 12*w - 27]', '[9747, 1083, 3*w^2 + 12*w - 3]', '[9747, 3249, 8*w^2 + 2*w - 45]', '[9747, 3249, 17*w^2 + 25*w - 58]', '[9747, 9747, 3*w^2 - 10*w + 18]', '[9749, 9749, -15*w^2 - 30*w + 44]', '[9753, 9753, -4*w^2 + 25*w - 42]', '[9753, 9753, 3*w^2 - 23*w + 31]', '[9755, 9755, -4*w^2 + 11*w + 10]', '[9759, 9759, -7*w^2 + 4*w + 60]', '[9759, 9759, w^2 - 9*w - 6]', '[9759, 9759, 6*w^2 + 10*w - 75]', '[9759, 9759, 10*w^2 + 9*w - 49]', '[9759, 9759, -9*w^2 - 8*w + 28]', '[9759, 9759, -3*w^2 - 10*w + 41]', '[9763, 9763, 5*w^2 + 3*w - 55]', '[9763, 9763, 20*w^2 + 21*w - 103]', '[9763, 9763, -11*w^2 - 26*w + 19]', '[9769, 9769, 6*w^2 - 6*w - 13]', '[9771, 9771, 15*w^2 + 19*w - 65]', '[9771, 9771, -4*w^2 + 7*w + 48]', '[9773, 9773, 3*w^2 + 12*w - 2]', '[9773, 9773, -3*w^2 + 8*w + 43]', '[9773, 9773, 13*w^2 + 9*w - 77]', '[9783, 3261, -8*w^2 - 19*w + 22]', '[9783, 3261, -8*w^2 - 5*w + 39]', '[9783, 9783, -4*w^2 + 6*w - 9]', '[9785, 9785, 9*w^2 + 8*w - 41]', '[9787, 9787, 7*w^2 + 7*w - 62]', '[9789, 9789, -11*w^2 + 98]', '[9789, 9789, -9*w^2 + 2*w + 53]', '[9789, 9789, 10*w^2 - 7*w - 51]', '[9789, 9789, 7*w^2 - 3*w - 33]', '[9789, 9789, 16*w^2 - 4*w - 111]', '[9789, 9789, -21*w^2 - 4*w + 173]', '[9791, 9791, 9*w^2 + 5*w - 50]', '[9803, 9803, 5*w^2 - 7*w - 28]', '[9811, 9811, -9*w^2 + 55]', '[9813, 9813, 20*w - 57]', '[9813, 9813, w^2 - 18*w + 35]', '[9817, 9817, 24*w^2 + 45*w - 73]', '[9817, 9817, -23*w^2 - 35*w + 92]', '[9817, 9817, -15*w + 32]', '[9819, 3273, -17*w^2 - 2*w + 123]', '[9819, 3273, 5*w^2 - 5*w - 46]', '[9819, 3273, 5*w^2 - 19*w + 24]', '[9819, 3273, 7*w^2 - w - 35]', '[9819, 3273, w^2 + 10*w + 12]', '[9819, 3273, 16*w^2 + 23*w - 59]', '[9819, 9819, -3*w^2 + 26*w - 45]', '[9819, 9819, 3*w^2 + 13*w - 27]', '[9819, 9819, 2*w^2 + 9*w - 45]', '[9825, 1965, 6*w^2 - 7*w - 66]', '[9825, 1965, -17*w^2 - 21*w + 77]', '[9825, 9825, -9*w^2 - 26*w - 2]', '[9825, 9825, -13*w^2 - 17*w + 51]', '[9833, 9833, -15*w + 28]', '[9837, 3279, 2*w^2 + 11*w + 6]', '[9837, 3279, 17*w^2 + 25*w - 61]', '[9837, 9837, 3*w^2 + 14*w - 27]', '[9839, 9839, 4*w^2 + 10*w - 31]', '[9841, 9841, -w^2 - 16]', '[9841, 9841, 7*w^2 + 7*w - 53]', '[9841, 9841, 13*w^2 - 32*w - 11]', '[9848, 2462, -2*w^2 - 8*w - 14]', '[9848, 2462, 6*w^2 - 4*w - 14]', '[9848, 2462, 8*w^2 - 2*w - 44]', '[9859, 9859, 6*w^2 - 5*w - 13]', '[9861, 9861, -8*w^2 - 6*w + 35]', '[9861, 9861, 5*w^2 - 5*w - 39]', '[9864, 822, 10*w^2 + 14*w - 50]', '[9864, 822, -4*w^2 + 2*w + 48]', '[9864, 2466, 6*w^2 - 4*w - 18]', '[9865, 9865, -17*w^2 - 11*w + 106]', '[9865, 9865, -6*w^2 + 3*w + 19]', '[9865, 9865, -6*w^2 + 5*w + 16]', '[9871, 9871, 9*w^2 + 4*w - 52]', '[9873, 3291, 10*w^2 - 14*w - 33]', '[9873, 3291, -5*w^2 + 14*w + 7]', '[9873, 9873, w^2 + 6*w + 18]', '[9880, 2470, 16*w^2 + 22*w - 64]', '[9880, 2470, -6*w^2 - 8*w + 8]', '[9880, 2470, 10*w^2 + 8*w - 52]', '[9881, 9881, -w^2 - 13*w + 34]', '[9883, 9883, 6*w^2 - 3*w - 16]', '[9885, 9885, -6*w^2 - 13*w + 33]', '[9885, 9885, -3*w^2 - 14*w - 11]', '[9887, 9887, -6*w^2 - 10*w + 37]', '[9887, 9887, 14*w^2 + 10*w - 83]', '[9887, 9887, -10*w^2 - 24*w + 17]', '[9893, 9893, 16*w^2 + 23*w - 70]', '[9893, 9893, 4*w^2 - 10*w - 13]', '[9893, 9893, -15*w^2 - 27*w + 40]', '[9896, 2474, 10*w^2 - 4*w - 70]', '[9897, 9897, 12*w^2 + 13*w - 56]', '[9897, 9897, -6*w^2 + 5*w + 57]', '[9899, 9899, 10*w^2 + 6*w - 95]', '[9907, 9907, 13*w^2 + 12*w - 77]', '[9909, 1101, -9*w - 6]', '[9909, 3303, -8*w^2 + w + 45]', '[9909, 3303, -11*w^2 - 13*w + 37]', '[9909, 9909, -4*w^2 + 18*w - 27]', '[9913, 9913, -7*w^2 + 7*w + 25]', '[9915, 9915, 6*w^2 + 8*w - 43]', '[9915, 9915, -7*w^2 - 3*w + 69]', '[9917, 9917, 5*w^2 + 8*w - 40]', '[9920, 620, -4*w^2 + 8*w + 52]', '[9921, 9921, 17*w^2 + 27*w - 68]', '[9921, 9921, 8*w^2 + 21*w - 30]', '[9923, 9923, 2*w^2 + 11*w - 34]', '[9925, 1985, -4*w^2 - 7*w - 1]', '[9925, 9925, -11*w^2 - 12*w + 49]', '[9929, 9929, 6*w^2 + 3*w - 62]', '[9931, 9931, 6*w^2 + 8*w - 59]', '[9935, 9935, -w^2 - 13*w + 28]', '[9937, 9937, 12*w^2 - 15*w - 46]', '[9939, 9939, w^2 + 11*w - 3]', '[9939, 9939, 12*w^2 + 14*w - 37]', '[9941, 9941, 12*w + 31]', '[9941, 9941, -9*w^2 + 19*w + 11]', '[9941, 9941, 5*w^2 + 12*w - 31]', '[9943, 9943, -10*w - 23]', '[9947, 203, 7*w^2 - 35]', '[9949, 9949, 10*w^2 + 11*w - 40]', '[9951, 9951, 4*w^2 + 9*w - 34]', '[9951, 9951, -4*w^2 - 5*w + 51]', '[9959, 9959, 5*w^2 + 9*w - 55]', '[9963, 369, -15*w^2 - 6*w + 117]', '[9963, 369, 3*w^2 - 3*w - 42]', '[9963, 1107, 6*w^2 - 9*w - 27]', '[9963, 1107, -13*w^2 + 13*w + 59]', '[9963, 3321, -13*w^2 + 8*w + 72]', '[9963, 9963, 25*w^2 - 9*w - 162]', '[9965, 9965, -12*w^2 - 9*w + 68]', '[9969, 9969, 6*w^2 - 11*w - 21]', '[9969, 9969, -3*w^2 + 2*w + 41]', '[9969, 9969, 5*w^2 + 15*w - 14]', '[9969, 9969, 14*w^2 + 6*w - 111]', '[9969, 9969, -6*w^2 + 5*w + 14]', '[9969, 9969, 7*w^2 + 2*w - 33]', '[9971, 767, -w^2 + 16*w - 11]', '[9971, 767, -6*w^2 + 3*w + 17]', '[9971, 767, -31*w^2 - 53*w + 109]', '[9971, 9971, 39*w^2 + 71*w - 131]', '[9971, 9971, 5*w^2 + 20*w - 26]', '[9971, 9971, -5*w^2 + 19*w - 5]', '[9973, 9973, -7*w^2 - 15*w + 35]', '[9973, 9973, 5*w^2 + 11*w - 32]', '[9973, 9973, -5*w^2 + 16*w + 2]', '[9983, 9983, 15*w^2 + 30*w - 47]', '[9985, 9985, -7*w^2 + 2*w + 34]', '[9993, 9993, 5*w^2 - 33*w + 55]', '[9993, 9993, -2*w^2 + 41*w - 96]', '[9995, 9995, -2*w^2 + 7*w + 19]', '[9995, 9995, -2*w^2 - 11*w + 31]', '[9995, 9995, -w^2 + 6*w + 32]', '[9997, 9997, 3*w^2 + 6*w - 46]', '[9997, 9997, 11*w^2 + 7*w - 95]', '[9997, 9997, w - 22]'], 'label': '3.3.1257.1', 'narrow_class_no': 2, 'primes': ['[3, 3, -w + 3]', '[3, 3, w - 2]', '[5, 5, w^2 + w - 5]', '[8, 2, 2]', '[13, 13, w + 2]', '[13, 13, -2*w + 5]', '[13, 13, -w^2 - w + 4]', '[19, 19, -w^2 + w + 4]', '[23, 23, -w^2 - w + 7]', '[25, 5, w^2 - 2*w - 1]', '[29, 29, w^2 - 5]', '[31, 31, w^2 + w - 8]', '[41, 41, w^2 + w - 11]', '[47, 47, w^2 + 2*w - 1]', '[59, 59, w^2 + w - 1]', '[61, 61, -w^2 + 5*w - 7]', '[67, 67, 2*w^2 - 13]', '[89, 89, -2*w^2 + w + 20]', '[89, 89, 5*w^2 + 8*w - 19]', '[89, 89, w^2 + 2*w - 7]', '[101, 101, -w - 5]', '[101, 101, w^2 - 2*w - 4]', '[101, 101, -2*w - 1]', '[103, 103, -3*w^2 - 2*w + 20]', '[107, 107, 2*w^2 + 3*w - 10]', '[109, 109, -3*w^2 - 3*w + 17]', '[127, 127, 2*w^2 - w - 14]', '[131, 131, -2*w^2 - 2*w + 13]', '[137, 137, w^2 + 2*w - 10]', '[149, 149, 2*w^2 + 2*w - 19]', '[163, 163, w^2 - 2*w - 5]', '[173, 173, 3*w^2 - 20]', '[181, 181, 2*w^2 - w - 17]', '[191, 191, 2*w^2 - w - 16]', '[193, 193, 2*w^2 - 2*w - 11]', '[197, 197, -7*w^2 - 13*w + 23]', '[199, 199, -2*w^2 - 5*w + 4]', '[199, 199, -w^2 + w + 13]', '[199, 199, -w^2 - 4*w - 2]', '[211, 211, w^2 + 3*w - 14]', '[223, 223, 3*w - 10]', '[227, 227, 2*w^2 + w - 8]', '[227, 227, -2*w^2 - 5*w + 5]', '[227, 227, 5*w^2 + 7*w - 20]', '[229, 229, w^2 + w - 13]', '[233, 233, -2*w^2 - 5*w + 1]', '[233, 233, 3*w^2 + 3*w - 14]', '[233, 233, 3*w^2 + 2*w - 17]', '[241, 241, 3*w^2 + w - 19]', '[251, 251, 2*w^2 + w - 20]', '[257, 257, 3*w + 7]', '[269, 269, 5*w^2 + 4*w - 29]', '[271, 271, -2*w^2 + 3*w + 4]', '[277, 277, 5*w^2 + 8*w - 20]', '[281, 281, w^2 - 2*w - 7]', '[283, 283, -3*w^2 + 19]', '[293, 293, -2*w^2 + 7*w - 2]', '[307, 307, 3*w^2 + 3*w - 13]', '[311, 311, -3*w - 1]', '[311, 311, -3*w^2 + 7*w + 2]', '[311, 311, 5*w^2 + 6*w - 25]', '[313, 313, 3*w^2 + 2*w - 23]', '[331, 331, 2*w^2 + 4*w - 11]', '[337, 337, -4*w^2 - 4*w + 23]', '[337, 337, 6*w^2 + 3*w - 40]', '[337, 337, -3*w - 10]', '[343, 7, -7]', '[347, 347, 3*w^2 + 4*w - 16]', '[349, 349, w^2 + 5*w + 5]', '[349, 349, 2*w^2 - w - 7]', '[349, 349, 5*w - 11]', '[353, 353, 2*w^2 + 3*w - 13]', '[353, 353, w^2 - 2*w - 10]', '[353, 353, 2*w^2 - 2*w - 5]', '[359, 359, w^2 - 4*w - 1]', '[359, 359, 2*w^2 - w - 5]', '[359, 359, -5*w^2 - 3*w + 34]', '[361, 19, 4*w^2 + 5*w - 16]', '[367, 367, -3*w - 2]', '[383, 383, -5*w^2 - 5*w + 28]', '[383, 383, w^2 + w - 14]', '[383, 383, 3*w^2 - w - 17]', '[389, 389, 6*w^2 + 9*w - 25]', '[397, 397, -7*w^2 - 10*w + 28]', '[401, 401, -w^2 - w - 2]', '[419, 419, 3*w - 11]', '[419, 419, -3*w - 4]', '[421, 421, 3*w^2 + w - 28]', '[431, 431, -2*w^2 + 6*w + 1]', '[433, 433, 4*w - 13]', '[449, 449, -w^2 - 4*w - 5]', '[449, 449, w^2 + 4*w - 10]', '[449, 449, w^2 + 4*w - 16]', '[463, 463, 7*w^2 + 12*w - 26]', '[467, 467, -5*w^2 - 9*w + 13]', '[479, 479, w^2 - 14]', '[487, 487, w^2 - 3*w - 5]', '[499, 499, 4*w^2 + 4*w - 19]', '[499, 499, -5*w^2 - 3*w + 31]', '[499, 499, -3*w^2 - 6*w + 5]', '[503, 503, -w - 8]', '[521, 521, 4*w^2 + w - 26]', '[523, 523, w^2 + 2*w - 16]', '[529, 23, w^2 + 4*w - 11]', '[547, 547, 5*w^2 + 6*w - 22]', '[563, 563, 2*w^2 + 3*w - 16]', '[577, 577, 3*w^2 + w - 16]', '[593, 593, 5*w^2 - w - 37]', '[593, 593, 3*w^2 + 3*w - 28]', '[593, 593, 7*w^2 + 11*w - 28]', '[599, 599, 2*w^2 + 2*w - 23]', '[601, 601, w^2 + 4*w - 14]', '[613, 613, -6*w^2 - 7*w + 28]', '[617, 617, -6*w + 13]', '[619, 619, -6*w + 11]', '[631, 631, -6*w^2 - 6*w + 31]', '[643, 643, 2*w^2 + 3*w - 25]', '[659, 659, -3*w - 11]', '[661, 661, 3*w^2 - 16]', '[683, 683, 5*w + 13]', '[691, 691, w^2 - 5*w + 10]', '[709, 709, w^2 + 6*w - 11]', '[719, 719, 3*w^2 + 3*w - 22]', '[727, 727, -w^2 + 3*w - 7]', '[733, 733, -4*w^2 - 4*w + 13]', '[743, 743, 2*w^2 + 2*w - 1]', '[751, 751, 5*w^2 + 5*w - 29]', '[757, 757, 3*w^2 - 2*w - 13]', '[761, 761, 4*w^2 + 4*w - 17]', '[769, 769, 6*w^2 + 9*w - 26]', '[773, 773, 2*w^2 + 3*w - 1]', '[773, 773, 2*w^2 + 5*w - 13]', '[773, 773, 11*w^2 + 16*w - 44]', '[787, 787, 3*w^2 - 3*w - 17]', '[787, 787, w^2 - 3*w - 8]', '[787, 787, -3*w^2 + 3*w + 32]', '[809, 809, -w^2 + w - 5]', '[809, 809, -2*w^2 - 7*w + 8]', '[809, 809, 2*w - 11]', '[811, 811, 3*w^2 + 3*w - 26]', '[821, 821, -3*w^2 + 4*w + 8]', '[823, 823, 4*w^2 + 3*w - 29]', '[827, 827, -w^2 - 5*w - 8]', '[829, 829, w - 10]', '[839, 839, 3*w^2 + 6*w - 4]', '[841, 29, 3*w^2 + w - 13]', '[857, 857, 7*w^2 + 10*w - 26]', '[857, 857, w^2 - 4*w - 4]', '[857, 857, 3*w^2 + 4*w - 31]', '[859, 859, -w^2 - 5*w - 2]', '[859, 859, -w^2 - w - 4]', '[859, 859, 3*w^2 - 4*w - 14]', '[863, 863, 5*w^2 + 2*w - 32]', '[881, 881, -7*w + 16]', '[887, 887, 4*w^2 + 3*w - 20]', '[907, 907, w^2 - 3*w - 11]', '[907, 907, 3*w^2 - 3*w - 10]', '[907, 907, 3*w^2 + 5*w - 17]', '[911, 911, w^2 + 5*w - 13]', '[929, 929, w^2 + 6*w + 7]', '[937, 937, 7*w^2 + 10*w - 25]', '[953, 953, 7*w^2 + 10*w - 31]', '[961, 31, 2*w^2 + 5*w - 14]', '[977, 977, 2*w^2 + w - 23]', '[983, 983, 3*w^2 + 6*w - 16]', '[991, 991, -4*w - 5]', '[997, 997, 3*w - 13]']}
• 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': [9, -8, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 1257, 'disc_rad': 1257, 'disc_sign': 1, 'frobs': [[2, [[3, 1]]], [3, [0]], [5, [[2, 1], [1, 1]]], [7, [[3, 1]]], [11, [[3, 1]]], [13, [[1, 3]]], [17, [[3, 1]]], [19, [[2, 1], [1, 1]]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[2, 1], [1, 1]]], [37, [[3, 1]]], [41, [[2, 1], [1, 1]]], [43, [[3, 1]]], [47, [[2, 1], [1, 1]]], [53, [[3, 1]]], [59, [[2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 35.45419580247167, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.3.1257.1', 'local_algs': ['3.1.0.1', '3.2.1.2', 'm419.1.1.0', 'm419.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [3, 419], 'rd': 10.7922440886, 'regulator': {'__RealLiteral__': 0, 'data': '6.19689047505', 'prec': 44}, 'res': {'gal': ['39,-75,-44,109,-36,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a - 1 \\)', '\\( a^{2} - 2 a - 2 \\)'], 'unitsGmodule': [[3, 1], [5, 1]], 'used_grh': False, 'zk': ['1', 'a', 'a^2']}