Hilbert modular form data - 3.3.1937.1-8.1-b

Formats: - HTML - YAML - JSON - 2024-05-30T03:48:58.535335

• 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': 2, 'disc': 1937, 'field_bad_primes': [13, 149], 'field_label': '3.3.1937.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '3.3.1937.1-8.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2], 'level_ideal': '[8, 2, 2]', 'level_label': '8.1', 'level_norm': 8, 'parallel_weight': 2, 'short_label': '8.1-b', 'weight': '[2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[8, 2, 2]', 1]], 'hecke_eigenvalues': ['e', '-e + 2', '-2*e - 1', -1, 'e + 2', '-2*e - 5', '2*e + 3', '4*e + 4', '6*e + 4', '-e', -7, '-2*e - 7', '-3*e - 6', '5*e + 5', '5*e - 2', '-5*e - 7', '-8*e - 2', -5, 'e - 3', '6*e + 1', '6*e - 1', -13, '-5*e - 3', '-5*e + 5', '6*e', -7, '-10*e - 7', '-7*e - 15', '-9*e - 2', '-6*e + 7', '8*e - 9', '18*e + 11', '-3*e + 19', '-8*e + 11', '5*e - 11', '-6*e + 15', '-15*e - 7', '-7*e + 5', '13*e + 13', '7*e + 14', '-7*e + 4', '-4*e - 17', '-4*e + 13', '-2*e - 22', '-6*e - 17', '-11*e - 11', '-8*e - 8', '-16*e - 13', '12*e + 3', '2*e - 16', '10*e - 6', '15*e + 3', 11, '18*e + 2', '-13*e - 20', '15*e + 14', 'e + 16', '-12*e - 9', '6*e - 15', '5*e + 16', '15*e - 11', '3*e + 3', '10*e + 5', '-12*e + 7', '-10*e - 11', '18*e + 24', '14*e + 23', '-6*e + 3', '15*e + 21', '-16*e - 11', '-10*e + 8', '-e - 32', '-10*e + 2', '-3*e', '10*e + 25', '2*e - 25', '21*e - 1', '-12*e + 13', '-14*e - 13', '15*e + 17', '-e - 24', '31*e + 11', '13*e + 2', '-17*e', '-7*e - 25', '5*e - 19', '-18*e - 8', '-16*e - 16', '-27*e - 4', '18*e + 10', '7*e + 10', '-e', '9*e - 12', '8*e + 10', '-2*e - 37', '14*e + 9', '-14*e + 20', '36*e + 16', '-10*e - 5', 31, '-19*e + 15', '-9*e - 17', '22*e + 28', '27*e + 20', '-23*e - 19', '-20*e - 11', '-26*e - 9', '9*e - 24', '14*e + 21', '12*e + 12', '-10*e - 15', '9*e + 29', '5*e - 22', '16*e + 19', '19*e + 26', '12*e - 1', '-4*e + 26', '-10*e - 11', '-21*e - 13', '-3*e + 1', '11*e + 21', '-11*e - 18', '-6*e + 31', '-27*e - 6', '-2*e + 6', '-7*e - 2', 19, '-12*e - 39', '23*e + 33', '35*e + 14', '2*e + 47', '-12*e - 1', '-28*e - 38', '-16*e - 25', '-34*e - 15', '6*e + 15', '-8*e - 32', '-16*e + 16', '-24*e - 11', '20*e', '-9*e - 45', '18*e + 29', '-6*e - 2', '22*e + 3', '-9*e - 28', '-13*e + 15', '-3*e - 51', '12*e - 7', '14*e - 27', '-15*e + 3', '-13*e - 32', '-30*e + 7', '30*e + 17', '-14*e + 19', '-18*e - 23', '-5*e + 44', '22*e + 44', '9*e - 9', '-26*e + 3', '-5*e - 54', '38*e + 27', '17*e + 34'], 'hecke_polynomial': 'x^2 + x - 1', 'label': '3.3.1937.1-8.1-b'}
• hmf_fields •

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

  
  {'degree': 3, 'discriminant': 1937, 'ideals': ['[1, 1, 1]', '[3, 3, -w - 2]', '[5, 5, w + 1]', '[7, 7, w - 3]', '[8, 2, 2]', '[9, 3, w^2 - 3*w - 2]', '[9, 9, w - 1]', '[13, 13, w + 3]', '[13, 13, -w + 2]', '[15, 15, -w + 4]', '[19, 19, -w^2 + 2*w + 4]', '[21, 21, -w^2 + w + 6]', '[23, 23, w^2 - 4*w + 1]', '[24, 6, -2*w - 4]', '[25, 5, w^2 - 2*w - 1]', '[25, 25, -w^2 + 6]', '[27, 3, 3]', '[27, 27, -w^2 - w + 2]', '[31, 31, w^2 - 2*w - 9]', '[35, 35, w^2 - 2*w - 3]', '[37, 37, -w^2 + 3*w + 3]', '[39, 39, w^2 - 4]', '[39, 39, -w^2 + 2*w + 2]', '[40, 10, 2*w + 2]', '[41, 41, w^2 - w - 1]', '[41, 41, w^2 - w - 5]', '[41, 41, w^2 - w - 10]', '[43, 43, -2*w - 3]', '[45, 15, -w^2 + 3*w - 1]', '[45, 45, w^2 - 2*w - 8]', '[47, 47, -w^2 - w + 4]', '[49, 7, -w^2 + 5*w - 5]', '[49, 49, -w - 4]', '[56, 14, 2*w - 6]', '[57, 57, w^2 - 7]', '[59, 59, w^2 - w - 4]', '[59, 59, w^2 - 3]', '[59, 59, w - 5]', '[63, 21, w^2 - 2]', '[63, 63, w^2 - 4*w + 3]', '[64, 4, 4]', '[65, 65, -w^2 + w + 2]', '[65, 65, 2*w^2 - 5*w - 7]', '[67, 67, 2*w^2 - 4*w - 9]', '[69, 69, w^2 - w - 3]', '[72, 6, 2*w^2 - 6*w - 4]', '[72, 18, 2*w - 2]', '[73, 73, 2*w^2 - 3*w - 12]', '[75, 15, -w^2 - 3*w + 1]', '[75, 75, -w^2 + 3*w + 4]', '[79, 79, -3*w^2 + 9*w + 5]', '[81, 9, w^2 - 8]', '[81, 9, -3*w - 6]', '[81, 81, -w^2 + 10]', '[91, 91, w^2 + 3*w + 3]', '[91, 91, w^2 - 9]', '[93, 93, -w^2 + 5*w + 17]', '[95, 95, -2*w + 3]', '[97, 97, 2*w^2 - w - 14]', '[97, 97, 2*w^2 - 2*w - 13]', '[97, 97, -2*w^2 + 5*w + 5]', '[101, 101, w^2 - w - 11]', '[104, 26, 2*w + 6]', '[104, 26, -2*w + 4]', '[105, 105, -w^2 - w + 5]', '[111, 111, -w - 5]', '[115, 115, -2*w^2 + 5*w + 2]', '[117, 39, w^2 - 3*w - 5]', '[117, 39, -w^2 + 3*w + 11]', '[117, 117, -w^2 + 3*w - 2]', '[117, 117, w^2 + 2*w - 3]', '[120, 30, -2*w + 8]', '[123, 123, -2*w^2 - w + 9]', '[123, 123, -2*w^2 + 4*w + 19]', '[123, 123, -2*w^2 - 5*w + 1]', '[125, 5, 5]', '[125, 125, -2*w^2 - 2*w + 5]', '[129, 129, 2*w^2 + 7*w + 6]', '[131, 131, w - 6]', '[133, 133, 3*w + 5]', '[135, 15, 3*w + 3]', '[135, 135, -w^2 + 5*w - 4]', '[139, 139, -2*w^2 + 5*w + 4]', '[141, 141, -w^2 + 4*w + 3]', '[147, 21, -2*w^2 + 3*w + 11]', '[147, 147, 2*w^2 - 5*w - 3]', '[149, 149, -3*w + 11]', '[149, 149, -3*w - 4]', '[152, 38, -2*w^2 + 4*w + 8]', '[155, 155, -3*w - 8]', '[157, 157, w^2 - 3*w - 6]', '[161, 161, w^2 + w + 2]', '[168, 42, -2*w^2 + 2*w + 12]', '[169, 13, w^2 - 4*w + 4]', '[169, 13, -w^2 - w + 6]', '[169, 169, -w^2 + 5*w - 2]', '[171, 57, -w^2 - 3*w + 2]', '[171, 171, 2*w^2 - 6*w - 5]', '[173, 173, w^2 - 5*w + 3]', '[173, 173, -2*w^2 + 5*w + 8]', '[173, 173, 3*w^2 - 5*w - 17]', '[175, 35, -4*w^2 + 13*w + 4]', '[175, 175, 3*w - 2]', '[177, 177, -2*w^2 - 2*w + 7]', '[177, 177, -3*w^2 - 5*w + 5]', '[177, 177, -w^2 + 3*w + 10]', '[179, 179, 2*w^2 - w - 11]', '[179, 179, -3*w^2 + 7*w + 12]', '[179, 179, w^2 - 2*w - 12]', '[181, 181, w^2 + w - 16]', '[184, 46, 2*w^2 - 8*w + 2]', '[185, 185, w^2 - 2*w + 2]', '[189, 21, 3*w - 9]', '[189, 189, w^2 - 3*w - 7]', '[192, 12, -4*w - 8]', '[195, 195, 2*w^2 + 4*w - 3]', '[195, 195, -w^2 + w + 12]', '[199, 199, 2*w^2 - 9]', '[200, 10, 2*w^2 - 4*w - 2]', '[200, 50, -2*w^2 + 12]', '[201, 201, -2*w^2 + w + 16]', '[205, 205, w^2 + 6*w]', '[205, 205, w^2 - 3*w - 9]', '[205, 205, w^2 + 2*w - 4]', '[207, 69, -w^2 + 3*w + 8]', '[207, 207, -2*w^2 - 3*w + 5]', '[211, 211, -w^2 + w - 2]', '[215, 215, -2*w^2 - 5*w - 3]', '[216, 6, 6]', '[216, 54, -2*w^2 - 2*w + 4]', '[217, 217, -4*w^2 + 5*w + 28]', '[219, 219, -3*w^2 + 2*w + 22]', '[225, 15, 7*w^2 - 24*w - 2]', '[225, 45, -2*w^2 + 9*w + 2]', '[225, 75, 2*w^2 - 3*w - 10]', '[225, 225, -2*w - 7]', '[229, 229, -w^2 + 3*w - 3]', '[233, 233, w^2 + w - 7]', '[235, 235, 3*w^2 - 7*w - 10]', '[237, 237, w - 7]', '[243, 9, 3*w^2 - 9*w - 6]', '[243, 27, 3*w - 3]', '[243, 243, 3*w^2 - 2*w - 19]', '[245, 35, 3*w^2 - 8*w - 6]', '[245, 245, -w^2 - 5*w - 4]', '[247, 247, -3*w^2 + 8*w + 9]', '[247, 247, -2*w^2 + 2*w + 11]', '[248, 62, 2*w^2 - 4*w - 18]', '[257, 257, 3*w^2 - 3*w - 20]', '[259, 259, -2*w^2 - 2*w + 3]', '[271, 271, w^2 - 4*w - 13]', '[271, 271, 3*w^2 - 4*w - 19]', '[271, 271, 2*w - 9]', '[273, 273, -2*w^2 + 4*w + 13]', '[273, 273, -3*w^2 + w + 17]', '[277, 277, 3*w^2 - 5*w - 20]', '[279, 93, -w^2 + 14]', '[279, 279, -2*w^2 + w + 10]', '[280, 70, 2*w^2 - 4*w - 6]', '[281, 281, -w^2 - w + 13]', '[283, 283, -3*w + 8]', '[285, 285, 2*w^2 + w - 6]', '[287, 287, -3*w^2 + 10*w + 4]', '[287, 287, -3*w^2 + w + 31]', '[287, 287, -3*w^2 + 6*w + 16]', '[291, 291, -5*w^2 + 26]', '[291, 291, w^2 + w - 8]', '[291, 291, -4*w^2 + w + 24]', '[293, 293, -4*w - 7]', '[295, 295, 2*w^2 + 5*w - 2]', '[295, 295, w^2 - 4*w - 5]', '[295, 295, w^2 + 3*w - 3]', '[296, 74, -2*w^2 + 6*w + 6]', '[299, 299, 2*w^2 + w - 10]', '[299, 299, -3*w + 4]', '[301, 301, -2*w^2 + 3*w + 9]', '[303, 303, -2*w^2 + 5*w + 21]', '[307, 307, w^2 + 2*w - 5]', '[311, 311, 2*w^2 - 4*w - 5]', '[312, 78, 2*w^2 - 8]', '[312, 78, -2*w^2 + 4*w + 4]', '[313, 313, -w^2 - w - 3]', '[315, 105, w^2 - 3*w - 14]', '[315, 315, -2*w^2 + 7*w + 4]', '[317, 317, -3*w^2 + 8*w + 5]', '[320, 20, 4*w + 4]', '[325, 65, 2*w^2 + w - 2]', '[325, 65, 3*w^2 - 11*w - 3]', '[325, 325, -w^2 + 4*w - 5]', '[325, 325, -w^2 + 2*w + 13]', '[328, 82, 2*w^2 - 2*w - 2]', '[328, 82, 2*w^2 - 2*w - 10]', '[328, 82, 2*w^2 - 2*w - 20]', '[329, 329, w^2 - w - 13]', '[331, 331, -w^2 + 2*w - 3]', '[333, 111, -2*w^2 + 13]', '[333, 333, w^2 + 7*w + 10]', '[335, 335, 3*w - 7]', '[337, 337, -w - 7]', '[337, 337, w^2 + w - 9]', '[337, 337, 3*w - 5]', '[343, 7, 7]', '[343, 343, -w^2 - w + 12]', '[344, 86, -4*w - 6]', '[345, 345, w^2 + 4*w - 2]', '[351, 39, 3*w + 9]', '[351, 39, -3*w + 6]', '[351, 351, 4*w + 5]', '[351, 351, 3*w^2 - 5*w - 16]', '[359, 359, 2*w^2 - 4*w - 15]', '[360, 30, -2*w^2 + 6*w - 2]', '[360, 90, 2*w^2 - 4*w - 16]', '[361, 19, 2*w^2 + w - 5]', '[361, 361, -w^2 - 4*w - 6]', '[365, 365, w^2 + w - 10]', '[367, 367, -w^2 - 3]', '[367, 367, 3*w^2 - 11*w + 4]', '[367, 367, -2*w^2 + 9*w - 6]', '[369, 123, 5*w^2 - 18*w - 1]', '[369, 123, w^2 - 6*w + 7]', '[369, 123, -4*w^2 + 9*w + 17]', '[369, 369, -w^2 - w + 11]', '[369, 369, -w^2 + 8*w + 2]', '[369, 369, -w^2 + 4*w + 6]', '[373, 373, 2*w^2 - w - 9]', '[375, 15, 5*w^2 - 15*w - 5]', '[375, 375, w^2 - w + 3]', '[376, 94, -2*w^2 - 2*w + 8]', '[379, 379, 3*w^2 - 5*w - 21]', '[383, 383, w - 8]', '[387, 129, w^2 - 3*w + 4]', '[387, 387, -2*w^2 - w + 3]', '[389, 389, -4*w^2 + 9*w + 15]', '[392, 14, -2*w^2 + 10*w - 10]', '[392, 98, -2*w - 8]', '[393, 393, -w^2 + 4*w + 12]', '[395, 395, 3*w^2 - 10*w + 2]', '[397, 397, 2*w^2 + w - 4]', '[397, 397, -4*w^2 + 13*w + 5]', '[397, 397, -w^2 - 2*w - 4]', '[399, 399, w^2 - 6*w + 2]', '[401, 401, w^2 - 5*w - 4]', '[403, 403, 3*w^2 - 3*w - 19]', '[403, 403, 2*w^2 - 7*w - 26]', '[405, 45, 2*w^2 - 7]', '[405, 45, -3*w + 12]', '[405, 405, -2*w^2 + 2*w + 9]', '[413, 413, -3*w^2 + 7*w + 13]', '[413, 413, w^2 - 8*w + 15]', '[413, 413, -2*w^2 + 5*w + 10]', '[417, 417, w^2 + 2*w - 6]', '[421, 421, 3*w^2 - 4*w - 18]', '[423, 141, 2*w^2 - 3*w - 7]', '[423, 423, -w^2 - 3*w - 5]', '[431, 431, w^2 - 4*w - 16]', '[433, 433, w^2 - 4*w - 7]', '[437, 437, -w^2 - 6*w - 3]', '[439, 439, w^2 + 2*w - 17]', '[441, 21, 4*w^2 - 6*w - 29]', '[441, 63, 3*w^2 - w - 20]', '[441, 147, -2*w^2 + 6*w + 7]', '[441, 441, -w^2 - 3*w + 4]', '[447, 447, 3*w^2 + 10*w + 8]', '[447, 447, 3*w^2 - 5*w - 22]', '[448, 28, 4*w - 12]', '[455, 455, 3*w^2 - 9*w - 7]', '[455, 455, 2*w^2 - w - 8]', '[456, 114, 2*w^2 - 14]', '[457, 457, 2*w^2 - 3]', '[457, 457, 4*w - 3]', '[457, 457, 2*w^2 - 3*w - 6]', '[463, 463, 3*w^2 - 12*w + 7]', '[465, 465, 5*w^2 - 7*w - 37]', '[469, 469, -8*w^2 + 19*w + 29]', '[471, 471, 4*w + 11]', '[472, 118, 2*w^2 - 2*w - 8]', '[472, 118, 2*w^2 - 6]', '[472, 118, 2*w - 10]', '[475, 95, -4*w^2 + 13*w - 1]', '[475, 475, -3*w^2 + 5*w + 23]', '[479, 479, w^2 - 6*w + 6]', '[479, 479, -w^2 + 15]', '[479, 479, -6*w^2 + 19*w + 1]', '[481, 481, -w^2 + 4*w + 8]', '[481, 481, w^2 - 6*w - 18]', '[483, 483, -3*w^2 + 8*w + 10]', '[485, 485, w^2 - 6*w + 3]', '[485, 485, 3*w^2 + w - 12]', '[485, 485, 2*w^2 + w - 11]', '[487, 487, 2*w^2 - 7*w - 5]', '[487, 487, w^2 + 5*w + 8]', '[487, 487, 3*w^2 - 6*w - 17]', '[491, 491, -4*w + 15]', '[503, 503, 8*w^2 - 25*w - 5]', '[504, 42, 2*w^2 - 4]', '[504, 126, 2*w^2 - 8*w + 6]', '[505, 505, w^2 - 4*w - 10]', '[507, 39, -3*w^2 + 10*w + 5]', '[507, 39, w^2 - 4*w - 9]', '[507, 507, -2*w^2 + 5]', '[509, 509, 3*w^2 - 12*w + 4]', '[509, 509, -3*w^2 - 5*w + 6]', '[509, 509, w^2 - w - 14]', '[511, 511, -7*w^2 + 13*w + 38]', '[512, 8, 8]', '[513, 57, -3*w^2 + 6*w + 12]', '[513, 513, w + 8]', '[519, 519, -w^2 - w - 4]', '[519, 519, w^2 - 2*w - 14]', '[519, 519, 2*w^2 - w - 7]', '[520, 130, -2*w^2 + 2*w + 4]', '[520, 130, 4*w^2 - 10*w - 14]', '[521, 521, -4*w^2 + 10*w + 11]', '[523, 523, 2*w^2 - 7*w + 4]', '[523, 523, 2*w^2 - 2*w - 7]', '[523, 523, -7*w^2 + 22*w + 8]', '[525, 105, -w^2 + 2*w - 4]', '[525, 525, -3*w^2 - 4*w + 4]', '[529, 23, 4*w^2 - 14*w + 3]', '[529, 529, w^2 + 2*w - 7]', '[531, 177, 2*w^2 - 9*w + 5]', '[531, 177, w^2 - 6*w + 4]', '[531, 177, -7*w^2 + 21*w + 11]', '[531, 531, 5*w + 4]', '[531, 531, -w^2 + 5*w + 5]', '[531, 531, w^2 - 6*w + 5]', '[533, 533, 3*w^2 - 14]', '[533, 533, 2*w^2 - 21]', '[533, 533, 3*w^2 + 4*w - 2]', '[533, 533, 2*w^2 - 5*w - 11]', '[533, 533, 2*w^2 - 9*w - 3]', '[533, 533, 3*w^2 - 5*w - 29]', '[536, 134, 4*w^2 - 8*w - 18]', '[537, 537, 2*w^2 - 2*w - 21]', '[537, 537, -5*w^2 - 3*w + 20]', '[537, 537, -w^2 + 8*w + 23]', '[541, 541, w^2 + 4*w - 3]', '[541, 541, -5*w - 9]', '[541, 541, -5*w^2 + 11*w + 20]', '[543, 543, -4*w^2 + 6*w + 31]', '[552, 138, 2*w^2 - 2*w - 6]', '[553, 553, -2*w^2 + 2*w + 5]', '[555, 555, -w^2 - 6*w - 5]', '[557, 557, -w^2 + 5*w - 8]', '[559, 559, -2*w^2 - 9*w - 9]', '[559, 559, 2*w^2 - w - 6]', '[563, 563, 2*w^2 - 15]', '[563, 563, -w^2 - 2*w + 20]', '[563, 563, w^2 - 3*w - 15]', '[567, 63, -3*w^2 + 3*w + 18]', '[567, 63, 2*w^2 - 9*w + 2]', '[567, 567, 5*w + 13]', '[569, 569, 2*w^2 - w - 5]', '[575, 115, 6*w^2 - 17*w - 11]', '[575, 575, -w + 9]', '[576, 12, 4*w^2 - 12*w - 8]', '[576, 36, 4*w - 4]', '[577, 577, 2*w^2 - 3*w - 21]', '[584, 146, 4*w^2 - 6*w - 24]', '[585, 195, -4*w^2 + 15*w - 1]', '[585, 195, -w^2 - 4]', '[585, 585, 3*w^2 - 4*w - 17]', '[585, 585, 2*w^2 - 6*w - 23]', '[587, 587, -4*w^2 + 11*w + 6]', '[589, 589, 4*w^2 - 3*w - 33]', '[597, 597, -6*w^2 - 7*w + 16]', '[599, 599, 2*w^2 + 2*w - 9]', '[600, 30, -2*w^2 - 6*w + 2]', '[600, 150, -2*w^2 + 6*w + 8]', '[603, 201, 7*w^2 - 27*w + 10]', '[603, 603, -4*w^2 + 11*w + 11]', '[607, 607, -3*w - 10]', '[611, 611, -2*w^2 + 6*w - 3]', '[611, 611, 2*w + 9]', '[613, 613, 4*w^2 - 7*w - 25]', '[615, 615, 4*w^2 - 2*w - 41]', '[615, 615, 4*w^2 - 11*w - 5]', '[615, 615, 4*w^2 - 7*w - 21]', '[621, 69, 3*w^2 - 12*w + 3]', '[621, 621, -w^2 + 6*w + 4]', '[625, 25, 2*w^2 - 9*w + 3]', '[625, 25, -5*w - 5]', '[625, 625, 4*w - 11]', '[631, 631, -3*w^2 + 7*w + 7]', '[632, 158, -6*w^2 + 18*w + 10]', '[633, 633, 2*w^2 + 8*w + 5]', '[637, 91, w^2 + 2*w - 16]', '[637, 91, -5*w^2 + 4*w + 38]', '[637, 637, w^2 + 2*w - 8]', '[637, 637, 3*w^2 - 12*w + 2]', '[641, 641, 3*w^2 - 2*w - 17]', '[641, 641, -3*w^2 + 14*w - 12]', '[641, 641, -5*w^2 + 15*w + 9]', '[643, 643, -5*w - 8]', '[645, 645, 2*w^2 - 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13]', '[9615, 9615, 11*w^2 - 15*w - 71]', '[9619, 9619, 7*w^2 - 13*w - 49]', '[9623, 9623, -9*w^2 + 3*w + 50]', '[9624, 2406, 4*w^2 + 12*w + 14]', '[9627, 9627, w^2 - 4*w - 27]', '[9629, 9629, 6*w^2 - 5*w - 29]', '[9631, 9631, -11*w^2 + 31*w + 15]', '[9633, 741, 2*w^2 + 5*w - 31]', '[9633, 741, 3*w^2 - 10*w - 44]', '[9633, 9633, w^2 - 4*w + 18]', '[9635, 9635, -11*w^2 + 35*w + 16]', '[9635, 9635, -11*w^2 + 36*w - 3]', '[9635, 9635, 9*w^2 - 35*w + 1]', '[9641, 9641, 5*w^2 - 39]', '[9645, 9645, 5*w^2 - 12*w - 32]', '[9649, 9649, -12*w^2 + 31*w + 31]', '[9649, 9649, 6*w^2 - 21*w + 10]', '[9649, 9649, 3*w^2 - 15*w - 11]', '[9651, 9651, 5*w^2 + 26*w + 35]', '[9655, 9655, 6*w^2 - 15*w + 4]', '[9659, 9659, 6*w^2 - 13*w - 37]', '[9659, 9659, -5*w^2 + 13*w - 6]', '[9659, 9659, 3*w^2 - 12*w - 37]', '[9659, 9659, 9*w^2 - 2*w - 48]', '[9659, 9659, 5*w^2 + 12*w - 9]', '[9659, 9659, 7*w^2 - 13*w - 28]', '[9661, 9661, 14*w^2 - 46*w + 1]', '[9663, 9663, 2*w^2 + 13*w + 24]', '[9665, 9665, -6*w^2 + 11*w + 17]', '[9665, 9665, 3*w^2 - 17*w + 15]', '[9665, 9665, -2*w^2 + w - 12]', '[9667, 9667, -3*w^2 - 3*w + 29]', '[9671, 9671, -2*w^2 + 11*w + 26]', '[9671, 9671, 10*w^2 - 17*w - 54]', '[9671, 9671, -w^2 - 14*w - 10]', '[9672, 2418, -12*w^2 + 2*w + 70]', '[9672, 2418, 4*w^2 + 2*w - 30]', '[9675, 645, -8*w^2 + 21*w + 28]', '[9675, 1935, -2*w^2 - 6*w + 17]', '[9675, 3225, -4*w^2 - 3*w + 26]', '[9675, 9675, 4*w^2 + 20*w + 21]', '[9677, 9677, -8*w^2 + 23*w + 22]', '[9677, 9677, 2*w^2 - 13*w - 12]', '[9677, 9677, 4*w^2 - 11*w - 51]', '[9679, 9679, 10*w - 11]', '[9683, 9683, -12*w^2 + 33*w + 31]', '[9685, 9685, -11*w^2 + 29*w + 25]', '[9685, 9685, w^2 - 7*w + 22]', '[9685, 9685, 4*w^2 + 14*w - 5]', '[9685, 9685, -4*w^2 + 11*w + 30]', '[9687, 9687, -11*w^2 + 7*w + 70]', '[9688, 2422, -6*w^2 - 2*w + 18]', '[9688, 2422, 22*w^2 - 68*w - 22]', '[9688, 2422, 4*w^2 + 8*w + 10]', '[9689, 9689, 2*w^2 + 7*w - 14]', '[9689, 9689, -8*w^2 - w + 44]', '[9689, 9689, 8*w^2 - 29*w + 11]', '[9693, 1077, 6*w^2 - 12*w - 45]', '[9693, 9693, 7*w^2 + 5*w - 30]', '[9695, 9695, -3*w^2 - 6*w + 52]', '[9697, 9697, 7*w^2 - 27*w + 15]', '[9703, 9703, -17*w^2 + 52*w + 15]', '[9704, 2426, -14*w^2 + 40*w + 30]', '[9705, 9705, 10*w^2 - 7*w - 87]', '[9709, 9709, 7*w^2 - 3*w - 54]', '[9717, 9717, -7*w^2 + 10*w + 36]', '[9717, 9717, -7*w^2 + 14*w + 8]', '[9717, 9717, 7*w^2 - 5*w - 71]', '[9720, 90, -6*w^2 + 18*w - 6]', '[9720, 270, 6*w^2 - 12*w - 48]', '[9720, 2430, 8*w^2 + 6*w - 32]', '[9723, 9723, -13*w^2 + 28*w + 54]', '[9725, 1945, 6*w^2 + 3*w - 31]', '[9725, 9725, -12*w^2 + 18*w + 85]', '[9728, 152, -8*w^2 + 16*w + 32]', '[9729, 3243, -14*w^2 + 45*w + 16]', '[9729, 9729, 2*w^2 - 16*w + 5]', '[9733, 9733, -5*w^2 - 14*w - 13]', '[9736, 2434, -14*w^2 + 46*w + 14]', '[9739, 9739, 5*w^2 - 23*w + 14]', '[9745, 9745, 6*w^2 - 7*w - 28]', '[9747, 57, 6*w^2 + 3*w - 15]', '[9747, 513, -13*w^2 - 35*w - 15]', '[9747, 1083, -3*w^2 - 12*w - 18]', '[9747, 9747, -7*w^2 + 12*w + 31]', '[9751, 1393, -9*w^2 + 17*w + 53]', '[9751, 9751, -10*w^2 - 7*w + 34]', '[9753, 9753, -9*w^2 - 8*w + 32]', '[9755, 9755, -6*w^2 + 26*w - 13]', '[9765, 3255, -13*w^2 + 24*w + 122]', '[9765, 9765, w^2 - w - 27]', '[9771, 9771, -9*w^2 - 7*w + 28]', '[9771, 9771, -15*w^2 + w + 80]', '[9771, 9771, -11*w^2 + 11*w + 75]', '[9777, 9777, 4*w^2 + 4*w - 23]', '[9777, 9777, -13*w^2 - 10*w + 47]', '[9777, 9777, 2*w^2 + 16*w + 21]', '[9781, 9781, -10*w^2 + 23*w + 34]', '[9787, 9787, 5*w^2 - 2*w - 58]', '[9795, 9795, -4*w^2 + 11*w + 35]', '[9797, 9797, 2*w^2 - 11*w - 19]', '[9797, 9797, -11*w^2 + 22*w + 50]', '[9797, 9797, -w^2 - 7*w - 20]', '[9800, 70, 6*w^2 - 2*w - 26]', '[9800, 350, 6*w^2 - 2*w - 68]', '[9800, 490, -6*w^2 + 2*w + 6]', '[9800, 2450, 6*w^2 - 22*w + 12]', '[9811, 9811, 6*w^2 - 12*w - 47]', '[9813, 9813, 8*w^2 + 27*w + 16]', '[9817, 9817, -8*w + 33]', '[9819, 3273, -8*w^2 + 39*w - 41]', '[9819, 9819, 9*w^2 - 19*w - 35]', '[9825, 1965, 7*w^2 - 9*w - 67]', '[9825, 9825, 8*w^2 - 22*w - 25]', '[9827, 9827, 3*w^2 + 3*w - 34]', '[9832, 2458, -4*w - 22]', '[9833, 9833, -18*w^2 + 58*w + 3]', '[9835, 9835, 10*w^2 - 24*w - 39]', '[9837, 3279, -7*w^2 + 15*w + 20]', '[9837, 9837, 2*w^2 + 3*w + 13]', '[9839, 9839, -15*w^2 + 52*w - 6]', '[9841, 9841, 8*w^2 - 4*w - 45]', '[9841, 9841, 7*w^2 - 16*w - 35]', '[9847, 9847, w^2 - 13*w - 11]', '[9849, 1407, -w^2 + 12*w + 37]', '[9849, 9849, 14*w^2 - 51*w + 13]', '[9855, 1095, 3*w^2 + 3*w - 30]', '[9855, 9855, -16*w^2 + 38*w + 59]', '[9857, 9857, 7*w^2 - 3*w - 36]', '[9859, 9859, -w^2 + 14*w - 32]', '[9861, 9861, 6*w^2 - 11*w - 16]', '[9861, 9861, 9*w^2 - 13*w - 53]', '[9861, 9861, 4*w - 25]', '[9863, 9863, -4*w^2 + 11*w + 31]', '[9873, 3291, 25*w^2 - 84*w - 2]', '[9873, 9873, -10*w^2 + 27*w + 10]', '[9875, 395, -5*w^2 - 20*w - 10]', '[9875, 9875, -w^2 - 7*w + 19]', '[9880, 2470, 4*w^2 - 14*w + 12]', '[9880, 2470, -4*w^2 - 6*w + 18]', '[9887, 9887, w^2 + 7*w - 25]', '[9891, 3297, -2*w^2 - 9*w + 10]', '[9891, 9891, 11*w^2 - 32*w - 24]', '[9893, 9893, 8*w^2 + 16*w - 11]', '[9893, 9893, -3*w^2 + 4*w - 9]', '[9896, 2474, -12*w^2 + 36*w + 22]', '[9897, 9897, 2*w^2 - 35]', '[9899, 9899, -2*w^2 - 6*w - 15]', '[9901, 9901, 4*w^2 - 5*w - 46]', '[9903, 9903, -13*w^2 - 10*w + 44]', '[9905, 9905, -12*w^2 + 5*w + 72]', '[9909, 1101, -3*w^2 - 9]', '[9909, 1101, 9*w^2 - 33*w + 12]', '[9909, 1101, -6*w^2 + 27*w - 18]', '[9909, 9909, 4*w^2 - 14*w - 17]', '[9909, 9909, 11*w^2 + 20*w - 4]', '[9909, 9909, -6*w^2 + 11*w + 13]', '[9912, 2478, 4*w^2 - 6*w - 46]', '[9912, 2478, 2*w^2 - 8*w - 36]', '[9912, 2478, 10*w^2 - 14*w - 62]', '[9913, 9913, 2*w^2 + 5*w - 23]', '[9917, 9917, -10*w^2 + 40*w - 17]', '[9920, 620, -12*w - 32]', '[9921, 9921, 5*w^2 + 2*w - 31]', '[9923, 9923, 3*w^2 - 13*w - 15]', '[9925, 1985, 3*w^2 + 4*w - 23]', '[9925, 1985, 9*w^2 - 3*w - 59]', '[9925, 1985, 3*w^2 - 11*w - 23]', '[9925, 9925, -6*w^2 + 10*w + 21]', '[9925, 9925, -3*w^2 - 20*w - 27]', '[9925, 9925, 9*w^2 + 13*w - 21]', '[9931, 9931, -14*w^2 + 38*w + 31]', '[9935, 9935, 7*w^2 + 3*w - 24]', '[9935, 9935, -w^2 - 15*w - 24]', '[9935, 9935, -7*w^2 + 20*w + 22]', '[9937, 9937, -w^2 + 8*w - 24]', '[9937, 9937, w^2 + 12*w - 6]', '[9937, 9937, 8*w^2 + 11*w - 6]', '[9939, 9939, 7*w^2 - 3*w - 64]', '[9941, 9941, 4*w^2 - 11*w - 34]', '[9941, 9941, -4*w^2 + 14*w + 49]', '[9941, 9941, 15*w^2 - 49*w]', '[9949, 9949, 4*w^2 + 9*w - 12]', '[9957, 9957, 3*w^2 - 11*w - 31]', '[9959, 9959, -11*w^2 + 31*w + 14]', '[9961, 9961, -7*w^2 + 15*w + 39]', '[9963, 369, 15*w^2 - 54*w - 3]', '[9963, 369, 3*w^2 - 18*w + 21]', '[9963, 369, -12*w^2 + 27*w + 51]', '[9963, 1107, -3*w^2 - 3*w + 33]', '[9963, 1107, -3*w^2 + 24*w + 6]', '[9963, 1107, -3*w^2 + 12*w + 18]', '[9963, 9963, 2*w^2 + 8*w + 17]', '[9963, 9963, -25*w^2 + 26*w + 188]', '[9963, 9963, -10*w^2 + 16*w + 93]', '[9965, 9965, 2*w^2 - 14*w + 29]', '[9967, 9967, 9*w^2 - 12*w - 55]', '[9967, 9967, 4*w^2 - 13*w - 20]', '[9967, 9967, 3*w^2 + 10*w - 9]', '[9969, 9969, 4*w^2 - 11*w - 32]', '[9971, 767, 2*w^2 - 11*w - 25]', '[9971, 767, 8*w^2 - 19*w - 20]', '[9971, 767, 6*w^2 - 11*w - 15]', '[9971, 767, -w^2 - 14*w - 20]', '[9971, 767, -8*w^2 + 32*w - 19]', '[9971, 767, 3*w^2 + 3*w - 31]', '[9971, 9971, 9*w^2 - 35*w + 9]', '[9971, 9971, -6*w^2 + 21*w + 13]', '[9971, 9971, -3*w^2 + 16*w + 10]', '[9975, 1995, 14*w^2 - 53*w - 9]', '[9975, 9975, w^2 + 3*w + 17]', '[9981, 3327, -5*w^2 + 12*w + 46]', '[9981, 9981, -10*w^2 - 11*w + 30]', '[9983, 9983, 7*w^2 - 6*w - 39]', '[9983, 9983, 2*w^2 + 5*w - 30]', '[9987, 9987, w - 22]', '[9989, 9989, 5*w^2 - 22*w + 21]', '[9989, 9989, -12*w^2 + 33*w + 23]', '[9989, 9989, -14*w^2 + 20*w + 101]', '[9992, 2498, 2*w^2 + 8*w - 12]', '[9995, 9995, -5*w^2 + 23*w + 8]', '[9997, 9997, 11*w^2 + 6*w - 42]', '[9997, 9997, 4*w^2 - 11*w - 33]'], 'label': '3.3.1937.1', 'narrow_class_no': 2, 'primes': ['[3, 3, -w - 2]', '[5, 5, w + 1]', '[7, 7, w - 3]', '[8, 2, 2]', '[9, 3, w^2 - 3*w - 2]', '[13, 13, w + 3]', '[13, 13, -w + 2]', '[19, 19, -w^2 + 2*w + 4]', '[23, 23, w^2 - 4*w + 1]', '[25, 5, w^2 - 2*w - 1]', '[31, 31, w^2 - 2*w - 9]', '[37, 37, -w^2 + 3*w + 3]', '[41, 41, w^2 - w - 1]', '[41, 41, w^2 - w - 5]', '[41, 41, w^2 - w - 10]', '[43, 43, -2*w - 3]', '[47, 47, -w^2 - w + 4]', '[49, 7, -w^2 + 5*w - 5]', '[59, 59, w^2 - w - 4]', '[59, 59, w^2 - 3]', '[59, 59, w - 5]', '[67, 67, 2*w^2 - 4*w - 9]', '[73, 73, 2*w^2 - 3*w - 12]', '[79, 79, -3*w^2 + 9*w + 5]', '[97, 97, 2*w^2 - w - 14]', '[97, 97, 2*w^2 - 2*w - 13]', '[97, 97, -2*w^2 + 5*w + 5]', '[101, 101, w^2 - w - 11]', '[131, 131, w - 6]', '[139, 139, -2*w^2 + 5*w + 4]', '[149, 149, -3*w + 11]', '[149, 149, -3*w - 4]', '[157, 157, w^2 - 3*w - 6]', '[173, 173, w^2 - 5*w + 3]', '[173, 173, -2*w^2 + 5*w + 8]', '[173, 173, 3*w^2 - 5*w - 17]', '[179, 179, 2*w^2 - w - 11]', '[179, 179, -3*w^2 + 7*w + 12]', '[179, 179, w^2 - 2*w - 12]', '[181, 181, w^2 + w - 16]', '[199, 199, 2*w^2 - 9]', '[211, 211, -w^2 + w - 2]', '[229, 229, -w^2 + 3*w - 3]', '[233, 233, w^2 + w - 7]', '[257, 257, 3*w^2 - 3*w - 20]', '[271, 271, w^2 - 4*w - 13]', '[271, 271, 3*w^2 - 4*w - 19]', '[271, 271, 2*w - 9]', '[277, 277, 3*w^2 - 5*w - 20]', '[281, 281, -w^2 - w + 13]', '[283, 283, -3*w + 8]', '[293, 293, -4*w - 7]', '[307, 307, w^2 + 2*w - 5]', '[311, 311, 2*w^2 - 4*w - 5]', '[313, 313, -w^2 - w - 3]', '[317, 317, -3*w^2 + 8*w + 5]', '[331, 331, -w^2 + 2*w - 3]', '[337, 337, -w - 7]', '[337, 337, w^2 + w - 9]', '[337, 337, 3*w - 5]', '[359, 359, 2*w^2 - 4*w - 15]', '[361, 19, 2*w^2 + w - 5]', '[367, 367, -w^2 - 3]', '[367, 367, 3*w^2 - 11*w + 4]', '[367, 367, -2*w^2 + 9*w - 6]', '[373, 373, 2*w^2 - w - 9]', '[379, 379, 3*w^2 - 5*w - 21]', '[383, 383, w - 8]', '[389, 389, -4*w^2 + 9*w + 15]', '[397, 397, 2*w^2 + w - 4]', '[397, 397, -4*w^2 + 13*w + 5]', '[397, 397, -w^2 - 2*w - 4]', '[401, 401, w^2 - 5*w - 4]', '[421, 421, 3*w^2 - 4*w - 18]', '[431, 431, w^2 - 4*w - 16]', '[433, 433, w^2 - 4*w - 7]', '[439, 439, w^2 + 2*w - 17]', '[457, 457, 2*w^2 - 3]', '[457, 457, 4*w - 3]', '[457, 457, 2*w^2 - 3*w - 6]', '[463, 463, 3*w^2 - 12*w + 7]', '[479, 479, w^2 - 6*w + 6]', '[479, 479, -w^2 + 15]', '[479, 479, -6*w^2 + 19*w + 1]', '[487, 487, 2*w^2 - 7*w - 5]', '[487, 487, w^2 + 5*w + 8]', '[487, 487, 3*w^2 - 6*w - 17]', '[491, 491, -4*w + 15]', '[503, 503, 8*w^2 - 25*w - 5]', '[509, 509, 3*w^2 - 12*w + 4]', '[509, 509, -3*w^2 - 5*w + 6]', '[509, 509, w^2 - w - 14]', '[521, 521, -4*w^2 + 10*w + 11]', '[523, 523, 2*w^2 - 7*w + 4]', '[523, 523, 2*w^2 - 2*w - 7]', '[523, 523, -7*w^2 + 22*w + 8]', '[529, 23, 4*w^2 - 14*w + 3]', '[541, 541, w^2 + 4*w - 3]', '[541, 541, -5*w - 9]', '[541, 541, -5*w^2 + 11*w + 20]', '[557, 557, -w^2 + 5*w - 8]', '[563, 563, 2*w^2 - 15]', '[563, 563, -w^2 - 2*w + 20]', '[563, 563, w^2 - 3*w - 15]', '[569, 569, 2*w^2 - w - 5]', '[577, 577, 2*w^2 - 3*w - 21]', '[587, 587, -4*w^2 + 11*w + 6]', '[599, 599, 2*w^2 + 2*w - 9]', '[607, 607, -3*w - 10]', '[613, 613, 4*w^2 - 7*w - 25]', '[631, 631, -3*w^2 + 7*w + 7]', '[641, 641, 3*w^2 - 2*w - 17]', '[641, 641, -3*w^2 + 14*w - 12]', '[641, 641, -5*w^2 + 15*w + 9]', '[643, 643, -5*w - 8]', '[647, 647, 3*w^2 - w - 21]', '[653, 653, w^2 + 7*w + 9]', '[673, 673, -3*w^2 - 2*w + 9]', '[683, 683, 5*w^2 - 17*w + 2]', '[683, 683, 3*w^2 - 6*w - 11]', '[683, 683, 2*w^2 - 7*w - 6]', '[691, 691, w^2 + 3*w + 6]', '[701, 701, 2*w^2 - 5*w - 19]', '[709, 709, -3*w^2 + 9*w + 8]', '[727, 727, 3*w - 13]', '[739, 739, -w - 9]', '[743, 743, 5*w - 3]', '[743, 743, 2*w^2 - 5*w - 13]', '[743, 743, 3*w^2 - 3*w - 17]', '[757, 757, 3*w^2 - 4*w - 16]', '[761, 761, w^2 + 4*w - 4]', '[769, 769, 3*w^2 - w - 15]', '[773, 773, -w^2 + 2*w - 5]', '[787, 787, -2*w^2 + 10*w - 9]', '[797, 797, w^2 - 4*w - 17]', '[811, 811, 6*w^2 - 20*w + 1]', '[811, 811, -w^2 + 4*w - 7]', '[811, 811, 4*w - 9]', '[821, 821, 2*w^2 - 5*w - 14]', '[823, 823, -5*w^2 + 14*w + 8]', '[827, 827, 3*w^2 - w - 22]', '[829, 829, -3*w^2 + 6*w + 10]', '[859, 859, -9*w^2 + 29*w + 2]', '[859, 859, 4*w^2 - 13*w + 2]', '[859, 859, -w^2 + w - 5]', '[863, 863, 2*w^2 + w - 13]', '[877, 877, w^2 + 2*w - 11]', '[881, 881, 2*w^2 - 8*w + 7]', '[883, 883, 3*w^2 + 3*w - 4]', '[907, 907, w^2 + 2*w - 13]', '[929, 929, -3*w - 11]', '[937, 937, w^2 - 5*w - 12]', '[941, 941, 5*w - 4]', '[947, 947, 4*w^2 - 7*w - 20]', '[953, 953, 2*w^2 + 6*w - 3]', '[961, 31, 5*w^2 - 8*w - 29]', '[967, 967, -5*w^2 + 14*w + 7]', '[971, 971, w^2 - 5*w - 10]', '[977, 977, 2*w^2 - 4*w - 23]', '[977, 977, w^2 - 8*w + 17]', '[977, 977, 3*w^2 - 19]', '[991, 991, 3*w^2 - 4*w - 3]']}
• 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, -8, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 1937, 'disc_rad': 1937, 'disc_sign': 1, 'frobs': [[2, [[3, 1]]], [3, [[2, 1], [1, 1]]], [5, [[2, 1], [1, 1]]], [7, [[2, 1], [1, 1]]], [11, [[3, 1]]], [13, [0]], [17, [[3, 1]]], [19, [[2, 1], [1, 1]]], [23, [[2, 1], [1, 1]]], [29, [[3, 1]]], [31, [[2, 1], [1, 1]]], [37, [[2, 1], [1, 1]]], [41, [[1, 3]]], [43, [[2, 1], [1, 1]]], [47, [[2, 1], [1, 1]]], [53, [[3, 1]]], [59, [[1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 44.01136216933077, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.3.1937.1', 'local_algs': ['13.1.0.1', '13.2.1.2', '149.1.0.1', '149.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [13, 149], 'rd': 12.4655048946, 'regulator': {'__RealLiteral__': 0, 'data': '6.542242836', 'prec': 37}, 'res': {'gal': ['-1937,0,625,0,-50,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{2} + a - 3 \\)'], 'unitsGmodule': [[3, 1], [5, 1]], 'used_grh': False, 'zk': ['1', 'a', 'a^2']}