Hilbert modular form data - 3.3.756.1-14.1-a

Formats: - HTML - YAML - JSON - 2024-05-04T14:52:35.112277

• 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': 756, 'field_bad_primes': [2, 3, 7], 'field_label': '3.3.756.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '3.3.756.1-14.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2, 7], 'level_ideal': '[14, 14, -w^2 + w + 6]', 'level_label': '14.1', 'level_norm': 14, 'parallel_weight': 2, 'short_label': '14.1-a', 'weight': '[2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', 1], ['[7, 7, -w + 3]', 1]], 'hecke_eigenvalues': [-1, 2, -1, -4, -2, -4, 8, 4, -4, -4, 4, -14, 2, -14, 4, -16, -10, -6, 10, -6, 2, -2, 10, 4, -8, -14, -18, -18, 8, 8, -10, 8, 14, 8, 12, -14, 10, -6, 14, 24, -12, -12, 16, -24, 24, 18, -14, -16, -20, -16, 8, -18, -4, 2, 24, 2, -22, -10, 18, -24, 0, -26, -12, 28, -6, -8, 28, 4, -4, 2, -16, 32, 22, 34, 6, 0, 6, -4, 0, -2, -24, -34, 6, -34, 22, -22, 22, 6, 14, 0, 28, 12, -16, -22, 22, 34, 18, 6, 30, -14, -10, 18, -12, -36, -24, -10, -20, -44, -18, 16, -2, 0, 18, 12, 32, 12, 8, -38, -36, -40, 18, 30, -14, -48, 30, -26, 16, -2, 46, 16, -4, -8, -14, -18, 4, 48, -32, 32, -38, -32, 14, -32, 14, 6, 26, 10, 4, 2, -18, 44, -40, 36, 6, 30, 30, -24, -38, 20, 42, -22, -32, -20, 40, 54, 26], 'hecke_polynomial': 'x', 'label': '3.3.756.1-14.1-a'}
• hmf_fields •

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

  
  {'degree': 3, 'discriminant': 756, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w + 1]', '[4, 2, w^2 - 6]', '[6, 6, w - 2]', '[7, 7, -w + 3]', '[7, 7, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + w + 5]', '[11, 11, -w - 3]', '[12, 6, w^2 - 4]', '[13, 13, -w^2 + w + 3]', '[14, 14, -w^2 + w + 6]', '[14, 14, w^2 + w - 2]', '[16, 4, 2*w]', '[18, 6, w^2 - w - 2]', '[19, 19, -w^2 - w + 1]', '[21, 21, -w^2 + 2*w + 3]', '[21, 21, w^2 - 1]', '[22, 22, -2*w^2 + w + 10]', '[23, 23, -w^2 + 3]', '[24, 6, 2*w + 2]', '[26, 26, -w^2 - w + 4]', '[27, 3, 3]', '[28, 14, w^2 - 2]', '[28, 14, -w^2 + 8]', '[29, 29, 2*w + 3]', '[31, 31, 2*w^2 - 2*w - 9]', '[32, 4, 2*w^2 - 12]', '[33, 33, -2*w^2 + 3*w + 5]', '[36, 6, w^2 + 2*w - 2]', '[38, 38, w - 4]', '[39, 39, -2*w + 1]', '[42, 42, w + 4]', '[42, 42, 3*w^2 - w - 16]', '[44, 22, w^2 - 2*w - 4]', '[46, 46, -3*w - 2]', '[48, 12, 2*w - 4]', '[49, 7, w^2 + w - 5]', '[49, 7, w^2 + 3*w + 3]', '[49, 49, w^2 - 2*w + 1]', '[52, 26, -w^2 - 2*w - 2]', '[53, 53, -w^2 - 1]', '[54, 6, 3*w]', '[56, 14, -2*w + 6]', '[56, 14, 2*w - 2]', '[57, 57, -2*w^2 + w + 9]', '[58, 58, 2*w^2 + 3*w]', '[61, 61, 2*w - 3]', '[62, 62, 2*w^2 - 3*w - 4]', '[63, 21, w^2 - w + 1]', '[63, 21, 2*w^2 - 2*w - 7]', '[64, 4, 4]', '[66, 66, -w^2 - w + 6]', '[67, 67, w^2 - 2*w - 5]', '[67, 67, -w^2 + w + 9]', '[67, 67, -w^2 + 3*w + 3]', '[69, 69, -w^2 - 3*w + 1]', '[71, 71, w^2 + w - 7]', '[72, 6, -2*w^2 + 2*w + 10]', '[73, 73, -2*w^2 + 3*w + 7]', '[76, 38, w^2 - 2*w - 8]', '[77, 77, w^2 - 9]', '[77, 77, -w^2 - 2*w + 3]', '[78, 78, -2*w^2 - 3*w + 2]', '[81, 9, 3*w + 3]', '[84, 42, 3*w^2 - 2*w - 14]', '[84, 42, -w^2 + 2*w + 6]', '[87, 87, 2*w^2 + 5*w + 3]', '[88, 22, -2*w - 6]', '[89, 89, w^2 - 2*w - 7]', '[89, 89, -2*w^2 + 1]', '[89, 89, -3*w^2 + 19]', '[91, 91, 2*w^2 - 4*w - 5]', '[91, 91, -3*w - 5]', '[92, 46, w^2 - 4*w + 2]', '[93, 93, -w + 5]', '[96, 12, 2*w^2 - 8]', '[97, 97, -w - 5]', '[98, 14, w^2 + w + 2]', '[98, 14, 2*w^2 - w - 8]', '[98, 98, 3*w + 4]', '[99, 33, 2*w^2 - 2*w - 13]', '[101, 101, 2*w^2 - 2*w - 11]', '[101, 101, -3*w^2 + w + 15]', '[101, 101, 6*w^2 - 2*w - 37]', '[103, 103, 2*w^2 - 15]', '[104, 26, -2*w^2 + 2*w + 6]', '[106, 106, -7*w - 2]', '[107, 107, 3*w - 1]', '[108, 6, 3*w^2 - 18]', '[112, 28, -2*w^2 + 2*w + 12]', '[112, 28, 2*w^2 + 2*w - 4]', '[113, 113, w^2 - 4*w - 3]', '[114, 114, w^2 - 3*w - 4]', '[116, 58, 3*w^2 - 14]', '[117, 39, -2*w^2 - w + 1]', '[121, 11, -4*w^2 + w + 21]', '[121, 121, 2*w^2 + 2*w - 1]', '[122, 122, 2*w^2 - 3*w]', '[124, 62, 9*w^2 - 4*w - 50]', '[125, 5, -5]', '[126, 42, w^2 + 5*w + 4]', '[126, 42, 2*w^2 + w - 10]', '[128, 8, 4*w]', '[131, 131, -2*w^2 + 2*w + 3]', '[131, 131, 5*w^2 - 2*w - 27]', '[131, 131, -5*w^2 + 3*w + 27]', '[132, 66, -w^2 - 2]', '[133, 133, -4*w - 3]', '[133, 133, -2*w^2 + 2*w + 5]', '[134, 134, w^2 + 3*w - 2]', '[134, 134, -2*w^2 + w + 2]', '[134, 134, -6*w^2 + 3*w + 34]', '[137, 137, -8*w^2 + 2*w + 47]', '[138, 138, 2*w^2 - 3*w - 8]', '[139, 139, 2*w^2 - w - 7]', '[142, 142, w^2 - w + 2]', '[143, 143, 2*w^2 - 7]', '[144, 12, 2*w^2 - 2*w - 4]', '[146, 146, 3*w^2 - 5*w - 4]', '[147, 21, 2*w^2 + 2*w - 3]', '[147, 21, -2*w^2 + w + 15]', '[147, 147, 2*w^2 + 3*w - 5]', '[149, 149, w^2 + w - 11]', '[152, 38, -2*w^2 - 2*w + 2]', '[154, 154, -3*w + 2]', '[154, 154, 3*w^2 - 3*w - 14]', '[156, 78, w^2 - 10]', '[157, 157, w^2 - 6*w - 3]', '[159, 159, -w^2 - 7*w - 3]', '[161, 161, -3*w^2 + 3*w + 11]', '[161, 161, w^2 - 3*w - 5]', '[162, 18, 3*w - 6]', '[168, 42, -2*w^2 + 4*w + 6]', '[168, 42, 2*w^2 - 2]', '[169, 13, 2*w^2 + w - 5]', '[169, 169, w^2 - 4*w + 5]', '[171, 57, -w^2 - 2*w + 5]', '[173, 173, 3*w^2 - 2*w - 13]', '[173, 173, -2*w^2 - w + 11]', '[173, 173, 5*w + 3]', '[174, 174, 2*w^2 - w - 6]', '[176, 44, -4*w^2 + 2*w + 20]', '[178, 178, -2*w^2 - w + 2]', '[178, 178, -3*w^2 + w + 14]', '[178, 178, w - 6]', '[179, 179, w^2 + 4*w - 1]', '[181, 181, -6*w^2 + 3*w + 35]', '[182, 182, -w - 6]', '[182, 182, -2*w^2 - w + 14]', '[183, 183, 2*w^2 - w - 3]', '[184, 46, -2*w^2 + 6]', '[186, 186, 6*w^2 - 7*w - 22]', '[189, 21, -3*w + 9]', '[189, 21, 3*w - 3]', '[191, 191, -2*w - 7]', '[192, 12, 4*w + 4]', '[194, 194, -w^2 - 5*w]', '[196, 14, 3*w^2 - 4*w - 8]', '[196, 14, -w^2 + 4*w + 4]', '[196, 98, w^2 + 2*w - 10]', '[197, 197, 2*w^2 - w - 5]', '[198, 66, -2*w^2 - w + 4]', '[199, 199, -5*w^2 + 3*w + 31]', '[201, 201, -w^2 - w - 3]', '[201, 201, 4*w + 7]', '[201, 201, -4*w^2 + 5*w + 15]', '[202, 202, -2*w^2 + w + 4]', '[202, 202, w^2 - 3*w - 6]', '[202, 202, -2*w^2 - w + 12]', '[203, 203, -2*w^2 + 3*w + 9]', '[203, 203, 2*w^2 + w - 3]', '[206, 206, -3*w + 4]', '[207, 69, -2*w^2 - w + 13]', '[208, 52, -2*w^2 - 2*w + 8]', '[209, 209, -3*w^2 + 5*w + 9]', '[211, 211, 4*w^2 - 3*w - 21]', '[211, 211, w^2 + 3*w - 3]', '[211, 211, 2*w^2 - 3]', '[212, 106, -w^2 - 2*w + 6]', '[213, 213, 2*w^2 - 5]', '[214, 214, 3*w^2 - w]', '[216, 6, 6]', '[217, 217, -8*w^2 + 9*w + 31]', '[217, 217, 4*w^2 - 5*w - 13]', '[219, 219, w^2 - 2*w + 3]', '[223, 223, 4*w - 1]', '[224, 28, 2*w^2 - 4]', '[224, 28, -2*w^2 + 16]', '[226, 226, -4*w^2 + 3*w + 2]', '[227, 227, -3*w^2 + w + 21]', '[227, 227, -6*w^2 + w + 39]', '[227, 227, 3*w^2 + w - 15]', '[228, 114, -w^2 - 4*w - 6]', '[229, 229, w^2 - 3*w - 9]', '[231, 231, w^2 - 3*w - 7]', '[231, 231, -4*w^2 + 25]', '[232, 58, 4*w + 6]', '[233, 233, -4*w^2 + 23]', '[234, 78, -4*w^2 + w + 20]', '[239, 239, w^2 + 2*w - 9]', '[241, 241, w^2 + 2*w - 7]', '[242, 22, w^2 - 3*w - 8]', '[242, 242, w^2 - 3*w + 4]', '[243, 9, -3*w^2 + 3*w + 15]', '[244, 122, -3*w^2 + 22]', '[247, 247, w^2 + 3]', '[248, 62, -4*w^2 + 4*w + 18]', '[250, 10, -5*w]', '[252, 42, w^2 + 2*w - 8]', '[252, 42, w^2 + 2*w + 4]', '[253, 253, 2*w^2 - w + 1]', '[256, 8, 4*w^2 - 24]', '[257, 257, 2*w^2 - 3*w - 15]', '[257, 257, 2*w^2 - 4*w - 7]', '[257, 257, -w^2 + w - 3]', '[261, 87, -w^2 + w + 11]', '[262, 262, 3*w^2 - 3*w - 10]', '[262, 262, -7*w^2 + 3*w + 38]', '[262, 262, -2*w^2 + 3*w + 10]', '[263, 263, 3*w^2 + w - 1]', '[264, 66, -4*w^2 + 6*w + 10]', '[266, 266, w^2 - 5*w + 4]', '[266, 266, -2*w^2 - 3*w + 6]', '[267, 267, -w^2 - 3*w - 5]', '[267, 267, -3*w^2 + w + 13]', '[267, 267, -3*w^2 + 4*w + 7]', '[268, 134, -5*w^2 + 2*w + 26]', '[268, 134, 3*w^2 + 4*w + 2]', '[268, 134, 3*w^2 - 2*w - 12]', '[271, 271, w^2 - 11]', '[273, 273, -3*w^2 - w + 11]', '[273, 273, 5*w^2 - 3*w - 29]', '[274, 274, 2*w^2 - w - 16]', '[276, 138, w^2 - 2*w - 12]', '[278, 278, -w^2 + 5*w + 4]', '[279, 93, -5*w^2 - w + 37]', '[281, 281, 2*w^2 - 2*w + 1]', '[283, 283, -4*w^2 + w + 27]', '[284, 142, -7*w^2 + 2*w + 44]', '[286, 286, 5*w + 4]', '[288, 12, 2*w^2 + 4*w - 4]', '[291, 291, -w^2 - 6*w - 5]', '[292, 146, 7*w^2 - 4*w - 36]', '[294, 42, -w^2 - w + 12]', '[294, 42, w^2 + 3*w - 4]', '[294, 294, -4*w^2 + 3*w + 22]', '[297, 33, -3*w - 9]', '[298, 298, -w^2 + 5*w - 2]', '[299, 299, -w + 7]', '[303, 303, -w - 7]', '[303, 303, -2*w^2 - 2*w + 9]', '[303, 303, 4*w^2 - 3*w - 25]', '[304, 76, 2*w - 8]', '[307, 307, 4*w^2 - 2*w - 19]', '[308, 154, -3*w^2 - 4*w + 4]', '[308, 154, -3*w^2 + 4*w + 6]', '[309, 309, 2*w^2 - 3*w - 11]', '[312, 78, -4*w + 2]', '[313, 313, 2*w^2 - 2*w - 17]', '[314, 314, 3*w^2 - 3*w - 16]', '[317, 317, 3*w^2 + w - 21]', '[318, 318, 2*w^2 - 7*w]', '[319, 319, -2*w^2 - 9*w - 9]', '[321, 321, 3*w^2 + 2*w - 1]', '[322, 322, -w^2 - 5*w - 8]', '[322, 322, -3*w^2 - w + 16]', '[324, 18, 3*w^2 - 12]', '[336, 84, 2*w + 8]', '[336, 84, 6*w^2 - 2*w - 32]', '[338, 26, w^2 + 7*w + 4]', '[338, 338, -2*w^2 + 3*w + 12]', '[339, 339, -3*w^2 - w - 1]', '[341, 341, 4*w^2 - 3*w - 23]', '[342, 114, -2*w^2 - w - 2]', '[343, 7, 7]', '[343, 49, 2*w^2 + 2*w - 17]', '[343, 49, 2*w^2 + 6*w - 1]', '[343, 343, -2*w^2 + 3*w + 13]', '[346, 346, -2*w^2 + 5*w + 6]', '[346, 346, -w^2 - w - 4]', '[346, 346, 4*w^2 - 3*w - 24]', '[347, 347, 5*w^2 - 4*w - 25]', '[348, 174, 3*w^2 + 4*w - 8]', '[349, 349, 6*w^2 - 4*w - 29]', '[351, 39, -3*w^2 + 3*w + 9]', '[352, 44, 2*w^2 - 4*w - 8]', '[356, 178, -7*w^2 + 2*w + 38]', '[356, 178, w^2 - 4*w - 6]', '[356, 178, w^2 - 6*w]', '[358, 358, 4*w^2 + 5*w + 2]', '[359, 359, 3*w^2 - 3*w - 19]', '[361, 19, 4*w^2 - 3*w - 17]', '[361, 361, -3*w^2 + 3*w + 17]', '[362, 362, 3*w^2 - w - 12]', '[363, 33, -3*w^2 - 2*w + 13]', '[363, 363, 3*w^2 - 2*w - 11]', '[364, 182, -w^2 - 6*w]', '[364, 182, -w^2 + 2*w - 4]', '[366, 366, 2*w^2 - 7*w + 6]', '[367, 367, 3*w^2 + 4*w - 3]', '[368, 92, -6*w - 4]', '[371, 371, w^2 - 7*w - 1]', '[371, 371, -3*w^2 + 7*w - 1]', '[372, 186, 5*w^2 - 32]', '[375, 15, -5*w - 5]', '[377, 377, -w^2 - 3*w + 5]', '[378, 42, -3*w^2 + 3*w + 18]', '[378, 42, 3*w^2 + 3*w - 6]', '[382, 382, -2*w^2 - 7*w]', '[384, 24, 4*w - 8]', '[388, 194, -5*w^2 + 28]', '[389, 389, 4*w - 3]', '[392, 14, 2*w^2 + 2*w - 10]', '[392, 14, 2*w^2 + 6*w + 6]', '[392, 98, 2*w^2 - 4*w + 2]', '[393, 393, 3*w^2 + w - 17]', '[393, 393, -2*w^2 + 17]', '[393, 393, -5*w^2 + 6*w + 17]', '[394, 394, -w^2 + 7*w + 4]', '[396, 66, w^2 + 2*w - 14]', '[397, 397, 2*w^2 + 3*w - 7]', '[398, 398, 3*w^2 + w - 10]', '[399, 399, 3*w^2 - 4*w - 13]', '[399, 399, -5*w + 1]', '[401, 401, -5*w^2 + 2*w + 33]', '[402, 402, 4*w^2 + 7*w]', '[402, 402, -3*w^2 + w + 22]', '[402, 402, -4*w^2 + 5*w + 12]', '[403, 403, -w^2 - 5*w + 19]', '[404, 202, -11*w^2 + 4*w + 62]', '[404, 202, -3*w^2 + 2]', '[404, 202, -w^2 - 4]', '[406, 406, -w^2 + 3*w + 14]', '[406, 406, 5*w^2 + 11*w - 2]', '[409, 409, w^2 - 5*w - 5]', '[411, 411, -6*w^2 + w + 31]', '[412, 206, -3*w^2 - 2*w + 8]', '[414, 138, -w^2 + w - 4]', '[416, 52, -2*w^2 - 4*w - 4]', '[417, 417, w^2 + 4*w - 3]', '[418, 418, -w^2 + w + 12]', '[421, 421, -w^2 - 2*w - 5]', '[421, 421, w^2 - 4*w - 7]', '[421, 421, -4*w^2 + 4*w + 19]', '[422, 422, -3*w^2 + 3*w + 8]', '[422, 422, 3*w^2 + 3*w + 2]', '[422, 422, 9*w + 4]', '[424, 106, -2*w^2 - 2]', '[426, 426, -w^2 - 3*w + 16]', '[427, 427, 2*w^2 - 5*w + 3]', '[427, 427, -2*w^2 + 9*w - 9]', '[428, 214, -w^2 + 12]', '[429, 429, 2*w^2 + 5*w - 3]', '[431, 431, 3*w^2 - 11]', '[432, 12, 6*w]', '[433, 433, -8*w^2 + 4*w + 47]', '[434, 434, -7*w^2 + w + 46]', '[434, 434, 3*w^2 + w - 18]', '[437, 437, 2*w^2 + 5*w + 5]', '[438, 438, 7*w^2 - 11*w - 18]', '[439, 439, 3*w^2 + w - 19]', '[441, 21, -w^2 + 4*w + 11]', '[441, 21, 5*w^2 - 2*w - 25]', '[441, 147, -4*w^2 + 7*w + 11]', '[443, 443, 2*w^2 + 4*w - 5]', '[446, 446, 4*w^2 - w]', '[447, 447, -2*w^2 + 4*w + 9]', '[448, 28, -4*w + 12]', '[448, 28, 4*w - 4]', '[449, 449, 2*w^2 - w - 17]', '[452, 226, -3*w^2 + 2*w + 10]', '[454, 454, w^2 + 3*w - 12]', '[454, 454, w^2 + 3*w + 6]', '[454, 454, w^2 + 3*w - 6]', '[456, 114, -4*w^2 + 2*w + 18]', '[457, 457, 3*w^2 - w - 11]', '[457, 457, -7*w^2 + 4*w + 43]', '[457, 457, 9*w^2 - 2*w - 57]', '[458, 458, -3*w^2 - 3*w + 2]', '[462, 462, -3*w^2 - w + 2]', '[462, 462, w - 8]', '[464, 116, 4*w^2 + 6*w]', '[466, 466, -w - 8]', '[467, 467, 3*w^2 - 23]', '[467, 467, 2*w^2 - 3*w - 19]', '[467, 467, 10*w^2 - 2*w - 61]', '[468, 78, w^2 - 4*w - 8]', '[469, 469, 5*w^2 - 7*w - 17]', '[469, 469, w^2 + 7*w + 5]', '[469, 469, -w^2 + 2*w + 13]', '[469, 469, -3*w^2 + 3*w + 7]', '[469, 469, 2*w^2 + 2*w - 11]', '[469, 469, 5*w^2 - 31]', '[471, 471, 4*w^2 - 8*w - 9]', '[477, 159, 2*w^2 - 5*w - 7]', '[478, 478, 2*w^2 - 3*w + 2]', '[482, 482, 2*w^2 - w + 2]', '[483, 483, -2*w^2 - 2*w - 3]', '[483, 483, -4*w + 5]', '[484, 22, -3*w^2 - 2*w + 2]', '[484, 242, -w^2 + 4*w + 10]', '[486, 18, 3*w^2 - 3*w - 6]', '[487, 487, w^2 + w - 13]', '[487, 487, 3*w^2 + 3*w - 11]', '[487, 487, 2*w^2 - 4*w - 17]', '[488, 122, 4*w - 6]', '[491, 491, w^2 - 4*w - 9]', '[494, 494, 5*w^2 - 7*w - 14]', '[496, 124, 4*w^2 - 6*w - 8]', '[497, 497, 2*w^2 + 4*w - 23]', '[497, 497, -2*w + 9]', '[500, 10, -5*w^2 + 30]', '[504, 42, 2*w^2 - 2*w + 2]', '[504, 42, 4*w^2 - 4*w - 14]', '[506, 506, -4*w^2 + w + 28]', '[507, 39, 3*w^2 + 8*w - 1]', '[507, 507, -3*w^2 + 7*w + 7]', '[511, 511, -9*w^2 + 14*w + 25]', '[511, 511, 5*w^2 - 8*w - 11]', '[512, 8, 8]', '[513, 57, -3*w^2 - 3*w + 3]', '[514, 514, -3*w^2 - 3*w + 4]', '[514, 514, -4*w^2 + 5*w + 4]', '[514, 514, w^2 - 9*w - 2]', '[519, 519, -3*w^2 - 2*w + 7]', '[519, 519, 3*w^2 - 5*w - 11]', '[519, 519, w^2 + 3*w - 7]', '[522, 174, w^2 + 5*w - 2]', '[523, 523, 4*w^2 + w - 31]', '[524, 262, 3*w^2 - 4*w - 14]', '[524, 262, 3*w^2 - 2*w - 4]', '[524, 262, -3*w^2 + 8*w + 6]', '[526, 526, 4*w^2 - w - 18]', '[528, 132, -2*w^2 - 2*w + 12]', '[529, 23, 3*w^2 - 2*w - 9]', '[529, 529, 2*w + 9]', '[532, 266, -3*w^2 + 10]', '[532, 266, 5*w^2 - 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9*w + 3]', '[1864, 466, -8*w^2 + 46]', '[1867, 1867, 7*w^2 + w - 47]', '[1868, 934, -23*w^2 + 6*w + 138]', '[1868, 934, -19*w^2 + 4*w + 108]', '[1868, 934, -w^2 + 8*w - 4]', '[1869, 1869, -10*w^2 + 8*w + 45]', '[1869, 1869, -8*w - 11]', '[1869, 1869, 4*w^2 - 6*w - 19]', '[1869, 1869, -6*w^2 - w + 35]', '[1869, 1869, 2*w - 13]', '[1869, 1869, -2*w^2 - 8*w + 3]', '[1871, 1871, 3*w^2 + 3*w - 19]', '[1872, 156, -8*w^2 + 2*w + 40]', '[1874, 1874, -3*w^2 - 17*w - 4]', '[1876, 938, -w^2 - 6*w + 6]', '[1876, 938, 5*w^2 + 2*w - 16]', '[1876, 938, -5*w^2 + 8*w + 18]', '[1876, 938, 7*w^2 - 6*w - 36]', '[1876, 938, 5*w^2 + 18*w + 12]', '[1876, 938, 11*w^2 - 12*w - 42]', '[1877, 1877, -5*w^2 - w + 3]', '[1878, 1878, -6*w^2 - w + 38]', '[1879, 1879, 6*w^2 - 8*w - 15]', '[1881, 627, -2*w^2 + 11*w + 7]', '[1884, 942, -w^2 - 10*w]', '[1891, 1891, w^2 - 11*w - 1]', '[1894, 1894, 5*w^2 - 3*w - 18]', '[1897, 1897, -w^2 - 5*w + 13]', '[1897, 1897, 3*w^2 + 5*w - 35]', '[1898, 1898, -6*w^2 + 3*w + 26]', '[1899, 633, w^2 - 7*w - 11]', '[1899, 633, 5*w^2 - 2*w - 19]', '[1899, 633, w^2 + 5*w - 11]', '[1901, 1901, -2*w - 13]', '[1902, 1902, -2*w^2 + 9*w + 8]', '[1903, 1903, -7*w^2 + w + 33]', '[1903, 1903, -5*w^2 + w + 37]', '[1903, 1903, -2*w^2 + 8*w + 9]', '[1906, 1906, -4*w^2 + 7*w + 16]', '[1908, 318, -5*w^2 - 16*w - 2]', '[1911, 273, -w^2 - w - 9]', '[1911, 273, -8*w^2 + 4*w + 39]', '[1911, 1911, 2*w^2 - 6*w - 17]', '[1912, 478, 2*w^2 + 4*w - 18]', '[1913, 1913, 2*w^2 - 6*w - 15]', '[1914, 1914, -5*w^2 - 3*w + 14]', '[1917, 213, 3*w^2 + 3*w - 21]', '[1918, 1918, 7*w^2 + w - 52]', '[1918, 1918, -3*w^2 - 3*w + 20]', '[1919, 1919, 9*w^2 - w - 45]', '[1919, 1919, -w^2 + 4*w + 19]', '[1919, 1919, 3*w^2 + 5*w - 11]', '[1922, 62, -w^2 - 5*w + 12]', '[1922, 1922, -7*w^2 + 9*w + 6]', '[1923, 1923, w^2 - 8*w + 9]', '[1926, 642, -4*w^2 + 13*w + 8]', '[1928, 482, 2*w^2 + 4*w - 14]', '[1929, 1929, -w^2 + 2*w - 9]', '[1932, 966, -3*w^2 - 4*w + 14]', '[1932, 966, 5*w^2 - 38]', '[1934, 1934, -w^2 - 7*w + 4]', '[1934, 1934, 3*w - 14]', '[1934, 1934, 6*w^2 - 15*w - 10]', '[1936, 44, 2*w^2 - 6*w - 16]', '[1936, 484, 2*w^2 - 6*w + 8]', '[1937, 1937, -11*w - 1]', '[1941, 1941, -4*w^2 - 6*w - 5]', '[1941, 1941, -w^2 - 6*w + 19]', '[1941, 1941, -5*w^2 - 2*w + 27]', '[1943, 1943, 10*w^2 - 8*w - 49]', '[1943, 1943, -9*w + 1]', '[1943, 1943, w^2 + 4*w + 11]', '[1944, 18, -6*w^2 + 6*w + 30]', '[1946, 1946, 5*w + 16]', '[1946, 1946, 6*w^2 + w - 36]', '[1948, 974, -13*w^2 + 2*w + 80]', '[1948, 974, -11*w^2 + 6*w + 72]', '[1948, 974, -17*w^2 + 4*w + 94]', '[1951, 1951, -6*w^2 - w + 37]', '[1952, 244, -6*w^2 + 44]', '[1953, 651, -7*w^2 + 13*w + 17]', '[1953, 651, 4*w^2 + 8*w - 47]', '[1954, 1954, 3*w^2 + 9*w + 10]', '[1957, 1957, 5*w^2 - w - 19]', '[1958, 1958, 2*w^2 - 3*w + 6]', '[1958, 1958, -w^2 + 3*w + 18]', '[1958, 1958, 10*w^2 - w - 60]', '[1959, 1959, -7*w - 19]', '[1964, 982, -9*w^2 + 2*w + 46]', '[1967, 1967, -w^2 + 7*w + 15]', '[1967, 1967, 7*w^2 - 3*w - 33]', '[1969, 1969, -7*w^2 - 17*w + 1]', '[1971, 219, -6*w^2 + 9*w + 21]', '[1976, 494, 2*w^2 + 6]', '[1977, 1977, -5*w^2 + 7*w + 21]', '[1981, 1981, -2*w^2 + 7*w + 11]', '[1981, 1981, 5*w^2 + 2*w - 35]', '[1983, 1983, -8*w^2 + w + 39]', '[1984, 124, -8*w^2 + 8*w + 36]', '[1987, 1987, -14*w - 3]', '[1988, 994, -3*w^2 + 6*w + 16]', '[1988, 994, 9*w^2 - 58]', '[1991, 1991, -2*w^2 - 4*w + 17]', '[1993, 1993, 2*w^2 + 4*w - 15]', '[1994, 1994, -w^2 + 7*w + 12]', '[1997, 1997, -14*w^2 + 4*w + 77]', '[1999, 1999, 11*w^2 - 7*w - 59]', '[1999, 1999, -w^2 + 8*w - 5]', '[1999, 1999, -8*w^2 + 49]', '[2000, 20, -10*w]', '[2001, 2001, -9*w^2 - 19*w - 1]', '[2002, 2002, 5*w^2 - w - 4]', '[2002, 2002, -5*w^2 + 11*w + 12]', '[2003, 2003, -17*w^2 + 5*w + 105]', '[2007, 669, 5*w^2 - 5*w - 13]', '[2013, 2013, 12*w^2 - 23*w - 23]', '[2014, 2014, 4*w^2 - 7*w + 2]', '[2016, 84, 2*w^2 + 4*w - 16]', '[2016, 84, 2*w^2 + 4*w + 8]', '[2017, 2017, 2*w^2 + 6*w - 7]', '[2017, 2017, 16*w^2 - 6*w - 89]', '[2017, 2017, -2*w^2 + 12*w + 7]', '[2019, 2019, w^2 - 8*w - 9]', '[2019, 2019, 5*w^2 + 2*w - 3]', '[2019, 2019, 5*w^2 + 5*w - 9]', '[2024, 506, 4*w^2 - 2*w + 2]', '[2027, 2027, 2*w^2 + 7*w - 5]', '[2028, 78, -w^2 + 6*w + 22]', '[2028, 1014, 7*w^2 - 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3*w + 70]', '[9836, 4918, 7*w^2 + 4]', '[9837, 3279, 8*w^2 - 5*w - 25]', '[9837, 3279, 7*w^2 - 10*w - 35]', '[9837, 3279, 29*w^2 - 14*w - 157]', '[9839, 9839, -19*w^2 + 7*w + 121]', '[9844, 4922, -13*w^2 + 28*w + 4]', '[9848, 2462, -22*w^2 + 4*w + 142]', '[9849, 1407, -5*w^2 - 12*w + 11]', '[9849, 1407, 11*w^2 - 9*w - 65]', '[9849, 1407, 9*w^2 - 8*w - 29]', '[9849, 1407, 6*w^2 - w + 5]', '[9849, 1407, 16*w^2 - 12*w - 73]', '[9849, 1407, -6*w^2 + 10*w + 31]', '[9849, 9849, -w^2 + 14*w + 15]', '[9849, 9849, 18*w^2 - w - 115]', '[9849, 9849, -9*w^2 - 7*w + 23]', '[9851, 9851, -35*w^2 + 9*w + 207]', '[9852, 4926, -13*w^2 + 8*w + 60]', '[9856, 616, -12*w + 8]', '[9856, 616, 12*w^2 - 12*w - 56]', '[9857, 9857, 3*w^2 - 14*w - 15]', '[9858, 9858, 20*w^2 - 37*w - 36]', '[9859, 9859, 8*w^2 - 27]', '[9861, 9861, w^2 + 12*w - 7]', '[9861, 9861, 10*w^2 + 27*w + 17]', '[9861, 9861, 15*w^2 - w - 103]', '[9863, 9863, 15*w^2 - 24*w - 35]', '[9863, 9863, -7*w^2 + 18*w + 17]', '[9864, 822, -10*w^2 - 8*w + 38]', '[9866, 9866, -16*w^2 + 7*w + 82]', '[9867, 9867, -3*w^2 - 19*w - 19]', '[9868, 4934, -19*w^2 + 12*w + 102]', '[9869, 9869, 10*w^2 - 10*w - 51]', '[9872, 2468, -4*w^2 + 14*w + 16]', '[9874, 9874, -3*w^2 + 15*w + 14]', '[9878, 9878, 29*w^2 - 11*w - 162]', '[9882, 1098, 6*w^2 - 21*w + 18]', '[9883, 9883, -10*w^2 + 12*w + 11]', '[9886, 9886, -25*w^2 + 7*w + 138]', '[9887, 9887, -8*w^2 + 12*w + 33]', '[9887, 9887, -11*w^2 + 10*w + 73]', '[9887, 9887, 7*w^2 - 4*w + 3]', '[9888, 1236, -22*w^2 + 8*w + 120]', '[9889, 9889, -6*w^2 + 7*w + 53]', '[9891, 3297, 4*w^2 - 10*w - 29]', '[9891, 3297, -7*w^2 - 23*w - 1]', '[9896, 2474, 4*w^2 - 10*w - 30]', '[9897, 9897, 8*w^2 + 6*w - 17]', '[9898, 1414, -12*w^2 - w + 76]', '[9898, 1414, 3*w^2 - 11*w - 22]', '[9898, 1414, -8*w^2 - w + 26]', '[9898, 1414, -6*w^2 - 25*w - 18]', '[9898, 1414, 9*w^2 - 5*w - 66]', '[9898, 1414, -9*w^2 - 13*w + 22]', '[9898, 9898, 7*w^2 - 19*w - 16]', '[9898, 9898, 2*w^2 - 5*w - 32]', '[9898, 9898, -11*w + 18]', '[9901, 9901, 2*w^2 - 12*w - 19]', '[9903, 9903, -2*w^2 - 9*w + 29]', '[9903, 9903, 10*w^2 - 6*w - 7]', '[9903, 9903, -11*w + 13]', '[9904, 2476, 2*w^2 - 22*w - 4]', '[9909, 1101, 9*w^2 + 12*w - 9]', '[9913, 9913, 2*w^2 - 6*w - 33]', '[9918, 3306, -8*w^2 - 31*w - 14]', '[9921, 9921, -9*w^2 - 4*w + 29]', '[9923, 9923, -16*w^2 + 5*w + 83]', '[9924, 4962, w^2 - 14*w + 24]', '[9927, 3309, w^2 + 5*w - 29]', '[9931, 9931, -7*w^2 - 4*w + 41]', '[9932, 4966, 11*w^2 + 30*w + 18]', '[9934, 9934, -6*w^2 + 17*w + 16]', '[9936, 276, -18*w - 12]', '[9937, 9937, 10*w^2 - 6*w - 41]', '[9938, 9938, 3*w^2 - 17*w + 2]', '[9941, 9941, w^2 + 3*w - 27]', '[9942, 9942, -3*w^2 - 5*w + 40]', '[9944, 2486, 2*w^2 + 18*w + 14]', '[9947, 203, 14*w + 21]', '[9947, 1421, 10*w^2 - 4*w - 43]', '[9947, 1421, 18*w^2 + 40*w + 5]', '[9947, 9947, 11*w + 31]', '[9948, 4974, -w^2 - 10*w + 24]', '[9951, 9951, 3*w^2 - 16*w + 5]', '[9956, 4978, 3*w^2 + 10*w - 12]', '[9956, 4978, 11*w^2 - 14*w - 44]', '[9956, 4978, -15*w^2 + 20*w + 46]', '[9959, 9959, 10*w^2 - 16*w - 33]', '[9967, 9967, -7*w^2 + 12*w - 3]', '[9968, 2492, 8*w^2 - 10*w - 40]', '[9968, 2492, -2*w^2 + 18*w - 36]', '[9968, 2492, -10*w^2 - 14*w + 24]', '[9968, 2492, 2*w^2 - 14*w + 12]', '[9968, 2492, -2*w^2 - 14*w + 4]', '[9968, 2492, 10*w^2 - 6*w - 72]', '[9969, 9969, 2*w^2 - 15*w + 19]', '[9969, 9969, -13*w^2 + 17*w + 39]', '[9969, 9969, 9*w^2 - 7*w - 31]', '[9973, 9973, -4*w^2 - 21*w - 19]', '[9974, 9974, -5*w + 24]', '[9978, 9978, -10*w^2 + 9*w + 58]', '[9978, 9978, -2*w^2 - 3*w + 32]', '[9978, 9978, -6*w^2 - 5*w + 58]', '[9982, 9982, -25*w^2 + 11*w + 136]', '[9982, 9982, 9*w^2 - 9*w - 56]', '[9983, 9983, -18*w^2 + 2*w + 105]', '[9983, 9983, -15*w^2 + 4*w + 99]', '[9983, 9983, -12*w^2 + 13*w + 53]', '[9984, 312, 4*w^2 - 40]', '[9987, 9987, -10*w^2 + 9*w + 61]', '[9988, 4994, 25*w^2 - 16*w - 130]', '[9988, 4994, -11*w^2 + 2*w + 50]', '[9988, 4994, 13*w^2 - 10*w - 70]', '[9991, 9991, -10*w^2 + 3*w + 71]', '[9992, 2498, 6*w^2 + 10*w - 18]', '[9993, 9993, 8*w^2 - 9*w - 47]', '[9994, 9994, -w^2 - 9*w - 24]', '[9997, 9997, -14*w - 19]', '[9998, 9998, -20*w^2 + 9*w + 106]', '[9998, 9998, -9*w^2 + 9*w + 52]', '[9998, 9998, -11*w^2 + 15*w + 28]', '[9999, 3333, 13*w^2 + 2*w - 89]', '[9999, 3333, -10*w^2 + 13*w + 41]', '[9999, 3333, -20*w^2 + 8*w + 127]'], 'label': '3.3.756.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[3, 3, w + 1]', '[7, 7, -w + 3]', '[7, 7, w - 1]', '[11, 11, -w - 3]', '[13, 13, -w^2 + w + 3]', '[19, 19, -w^2 - w + 1]', '[23, 23, -w^2 + 3]', '[29, 29, 2*w + 3]', '[31, 31, 2*w^2 - 2*w - 9]', '[53, 53, -w^2 - 1]', '[61, 61, 2*w - 3]', '[67, 67, w^2 - 2*w - 5]', '[67, 67, -w^2 + w + 9]', '[67, 67, -w^2 + 3*w + 3]', '[71, 71, w^2 + w - 7]', '[73, 73, -2*w^2 + 3*w + 7]', '[89, 89, w^2 - 2*w - 7]', '[89, 89, -2*w^2 + 1]', '[89, 89, -3*w^2 + 19]', '[97, 97, -w - 5]', '[101, 101, 2*w^2 - 2*w - 11]', '[101, 101, -3*w^2 + w + 15]', '[101, 101, 6*w^2 - 2*w - 37]', '[103, 103, 2*w^2 - 15]', '[107, 107, 3*w - 1]', '[113, 113, w^2 - 4*w - 3]', '[121, 11, -4*w^2 + w + 21]', '[125, 5, -5]', '[131, 131, -2*w^2 + 2*w + 3]', '[131, 131, 5*w^2 - 2*w - 27]', '[131, 131, -5*w^2 + 3*w + 27]', '[137, 137, -8*w^2 + 2*w + 47]', '[139, 139, 2*w^2 - w - 7]', '[149, 149, w^2 + w - 11]', '[157, 157, w^2 - 6*w - 3]', '[169, 13, 2*w^2 + w - 5]', '[173, 173, 3*w^2 - 2*w - 13]', '[173, 173, -2*w^2 - w + 11]', '[173, 173, 5*w + 3]', '[179, 179, w^2 + 4*w - 1]', '[181, 181, -6*w^2 + 3*w + 35]', '[191, 191, -2*w - 7]', '[197, 197, 2*w^2 - w - 5]', '[199, 199, -5*w^2 + 3*w + 31]', '[211, 211, 4*w^2 - 3*w - 21]', '[211, 211, w^2 + 3*w - 3]', '[211, 211, 2*w^2 - 3]', '[223, 223, 4*w - 1]', '[227, 227, -3*w^2 + w + 21]', '[227, 227, -6*w^2 + w + 39]', '[227, 227, 3*w^2 + w - 15]', '[229, 229, w^2 - 3*w - 9]', '[233, 233, -4*w^2 + 23]', '[239, 239, w^2 + 2*w - 9]', '[241, 241, w^2 + 2*w - 7]', '[257, 257, 2*w^2 - 3*w - 15]', '[257, 257, 2*w^2 - 4*w - 7]', '[257, 257, -w^2 + w - 3]', '[263, 263, 3*w^2 + w - 1]', '[271, 271, w^2 - 11]', '[281, 281, 2*w^2 - 2*w + 1]', '[283, 283, -4*w^2 + w + 27]', '[307, 307, 4*w^2 - 2*w - 19]', '[313, 313, 2*w^2 - 2*w - 17]', '[317, 317, 3*w^2 + w - 21]', '[347, 347, 5*w^2 - 4*w - 25]', '[349, 349, 6*w^2 - 4*w - 29]', '[359, 359, 3*w^2 - 3*w - 19]', '[361, 19, 4*w^2 - 3*w - 17]', '[367, 367, 3*w^2 + 4*w - 3]', '[389, 389, 4*w - 3]', '[397, 397, 2*w^2 + 3*w - 7]', '[401, 401, -5*w^2 + 2*w + 33]', '[409, 409, w^2 - 5*w - 5]', '[421, 421, -w^2 - 2*w - 5]', '[421, 421, w^2 - 4*w - 7]', '[421, 421, -4*w^2 + 4*w + 19]', '[431, 431, 3*w^2 - 11]', '[433, 433, -8*w^2 + 4*w + 47]', '[439, 439, 3*w^2 + w - 19]', '[443, 443, 2*w^2 + 4*w - 5]', '[449, 449, 2*w^2 - w - 17]', '[457, 457, 3*w^2 - w - 11]', '[457, 457, -7*w^2 + 4*w + 43]', '[457, 457, 9*w^2 - 2*w - 57]', '[467, 467, 3*w^2 - 23]', '[467, 467, 2*w^2 - 3*w - 19]', '[467, 467, 10*w^2 - 2*w - 61]', '[487, 487, w^2 + w - 13]', '[487, 487, 3*w^2 + 3*w - 11]', '[487, 487, 2*w^2 - 4*w - 17]', '[491, 491, w^2 - 4*w - 9]', '[523, 523, 4*w^2 + w - 31]', '[529, 23, 3*w^2 - 2*w - 9]', '[557, 557, -w^2 + 2*w - 5]', '[563, 563, -4*w^2 + 5*w + 11]', '[563, 563, 2*w^2 + 2*w - 13]', '[563, 563, -w^2 - 7*w - 7]', '[569, 569, -11*w^2 + 5*w + 65]', '[577, 577, -4*w^2 + 17]', '[587, 587, -2*w^2 + 8*w + 5]', '[587, 587, 3*w^2 - w + 1]', '[587, 587, -3*w^2 - 2*w + 3]', '[599, 599, w^2 + 5*w + 9]', '[601, 601, -3*w^2 - w + 3]', '[607, 607, 2*w^2 + w + 3]', '[613, 613, w^2 - 8*w - 1]', '[613, 613, 2*w^2 - 4*w - 11]', '[613, 613, -7*w^2 + 2*w + 37]', '[617, 617, 4*w^2 - 2*w - 17]', '[619, 619, -w^2 + w - 5]', '[641, 641, -8*w - 1]', '[643, 643, 4*w^2 - 5*w - 17]', '[647, 647, w^2 - 5*w - 7]', '[647, 647, -8*w^2 + 3*w + 43]', '[647, 647, -6*w + 1]', '[653, 653, 4*w^2 - 4*w - 27]', '[659, 659, 7*w + 5]', '[661, 661, -10*w^2 + 2*w + 59]', '[673, 673, 5*w - 3]', '[673, 673, 3*w^2 + 2*w - 15]', '[673, 673, w - 9]', '[677, 677, -w - 9]', '[677, 677, -9*w^2 + 4*w + 57]', '[677, 677, 3*w^2 + w - 7]', '[683, 683, -11*w^2 + 3*w + 61]', '[691, 691, 3*w^2 - w - 5]', '[701, 701, -w^2 - 3*w - 7]', '[727, 727, 3*w^2 - 4*w - 21]', '[733, 733, -4*w^2 - w + 23]', '[739, 739, -9*w^2 + 3*w + 49]', '[739, 739, 3*w^2 - 3*w + 1]', '[739, 739, 3*w^2 - 7]', '[743, 743, 5*w^2 + w - 21]', '[751, 751, 2*w^2 - 5*w - 9]', '[751, 751, -w^2 + 8*w + 5]', '[751, 751, -8*w^2 + 3*w + 51]', '[769, 769, 4*w^2 + 9*w - 3]', '[787, 787, -2*w^2 + 2*w - 3]', '[797, 797, 5*w^2 - 4*w - 31]', '[797, 797, 4*w^2 - 2*w - 29]', '[797, 797, -10*w^2 + 5*w + 53]', '[809, 809, -w^2 + 9*w + 5]', '[811, 811, w^2 + 3*w - 17]', '[821, 821, -13*w^2 + 4*w + 73]', '[827, 827, -6*w^2 + 37]', '[829, 829, -6*w^2 + 35]', '[841, 29, -11*w^2 + 2*w + 63]', '[853, 853, -3*w^2 + 5*w + 13]', '[859, 859, w^2 - 5*w - 11]', '[863, 863, -6*w^2 + 6*w + 23]', '[881, 881, 5*w^2 - w - 23]', '[881, 881, -13*w^2 + 3*w + 77]', '[881, 881, 6*w^2 - 3*w - 29]', '[911, 911, 3*w^2 + 2*w - 17]', '[937, 937, -2*w^2 - 3*w - 5]', '[947, 947, -9*w^2 + 5*w + 51]', '[953, 953, 8*w^2 - 4*w - 41]', '[961, 31, 6*w^2 - w - 41]', '[967, 967, 2*w^2 - w - 19]', '[967, 967, -7*w^2 + 45]', '[967, 967, -5*w^2 + 6*w + 15]', '[977, 977, 5*w^2 + 3*w - 21]', '[997, 997, 6*w^2 - w - 29]']}
• 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': [-2, -6, 0, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 756, 'disc_rad': 42, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[3, 1]]], [7, [0]], [11, [[2, 1], [1, 1]]], [13, [[2, 1], [1, 1]]], [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, [[3, 1]]], [43, [[3, 1]]], [47, [[3, 1]]], [53, [[2, 1], [1, 1]]], [59, [[3, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 7, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 15.13133155729692, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.3.756.1', 'local_algs': ['2.3.2.1', '3.3.3.1', '7.1.0.1', '7.2.1.2'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 7], 'rd': 9.10976691563, 'regulator': {'__RealLiteral__': 0, 'data': '5.69171840461', 'prec': 44}, 'res': {'gal': ['1,-3,-6,17,-6,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - 5 \\)', '\\( 2 a^{2} - a - 11 \\)'], 'unitsGmodule': [[1, 1], [4, 2]], 'used_grh': False, 'zk': ['1', 'a', 'a^2']}