Hilbert modular form data - 2.2.92.1-184.1-g

Formats: - HTML - YAML - JSON - 2025-12-24T00:37:54.573585

• 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': 2, 'dimension': 1, 'disc': 92, 'field_bad_primes': [2, 23], 'field_label': '2.2.92.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.92.1-184.1-g', 'label_nsuffix': 6, 'label_suffix': 'g', 'level_bad_primes': [2, 23], 'level_ideal': '[184, 92, 10*w + 46]', 'level_label': '184.1', 'level_norm': 184, 'parallel_weight': 2, 'short_label': '184.1-g', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w - 5]', -1], ['[23, 23, -w]', 1]], 'hecke_eigenvalues': [0, 2, 2, 3, 0, 0, -5, -5, -6, -6, -1, -10, 9, 9, 3, 3, 8, 8, -8, -8, 9, 9, 6, 6, 14, 14, 6, 6, -14, -14, -14, -14, -10, -10, 16, 16, -7, -7, -27, -27, -20, -20, 10, 10, 15, 15, -10, -10, -13, -13, -6, -6, 5, 5, -23, -23, -4, -4, 2, -2, -2, -7, -7, -11, -11, 18, 18, 10, 10, 4, 4, 12, 12, 31, 31, 25, 25, -28, -28, -36, -36, 6, 6, 1, 1, -6, -6, -38, -38, -10, -10, -15, -15, -18, -18, -43, -43, -44, -44, -26, -26, 33, 33, 22, 22, 13, 13, 4, 4, 40, 40, 44, 44, 39, 39, -50, -50, -5, -5, 36, 36, 6, 6, -4, -4, 41, 41, -40, -40, 2, 2, -54, -54, 12, 12, 54, 54, -30, -30, -14, -14, 23, 23, 18, 18, 10, 10, 50, 50, -10, -10, 7, 7, -53, 26, 26, 14, 14, -50, -50, 3, 3, -12, -12, -43, -43, 10, 10, 11, 11, -34, -34, -20, -20, 9, 9, -6, -6, -36, -36, 18, 18, -30, -30, -35, -35, 31, 31, -52, -52, 10, 10, -48, -48, 13, 13, -24, -24, -31, -31, -20, -20, -29, -29, -33, -33, 19, 19, -36, -36, 2, 2, -3, -3, 20, 20, -10, 51, 51, -21, -21, -16, -16, 33, 33, 30, 30, 3, 3, -2, -2, -14, -14, 26, 26, -40, -40, 26, 26, 36, 36, 62, 62, -16, -16, -49, -49, 6, 6, 18, 18, 38, 38, 52, 52, -58, -58, -30, -30, 16, 16, -55, -55, 13, 13, -40, -40, -28, -28, 58, 58, 54, 54, 46, 46, -14, -14, -67, -67, 37, 37, -34, -34, -6, -6, -39, -39, 2, 2, 36, 36, 56, 56, -44, -44, 66, 66, -62, -62, 66, 66, -2, -2, 29, 29, -10, -10, 75, 75, 46, 46, -32, -32, -37, -37, -4, -4, -22, -22, 30, 30, -33, -33, -52, -52, -33, -33, 88, 88, 60, 60, -45, 73, 73, -61, -61, 22, 22, -5, -5, -8, -8, -61, -61, 50, 50, -46, -46, 11, 11, -14, -14, 73, 73, 30, 30, -62, -62, 26, 26, -66, -66, 32, 32, -87, -87, 45, 45, -24, -24, 21, 21, 3, 3, -60, -60, 44, 44, 99, 99, 20, 20, 39, 39, 47, 47, -50, -50, -74, -74, 92, 92, 54, 54, 54, 54, -62, -62, -16, -16, 62, 62, -30, -30, -1, -1, 33, 33, 66, 66, -45, -45, -47, -47, -94, -94, -102, 23, 23, 3, 3, -12, -12, 10, 10, -51, -51, 40, 40, -35, -35, -1, -1, 54, 54, -70, -70, 8, 8, -108, -108, 66, 66, 5, 5, -5, -5, 84, 84, -77, -77, 34, 34, 61, 61, 31, 31, -15, -15, -68, -68, 3, 3, 101, 101, 6, 6, -4, -4, -38, -38, 31, 31, -34, -34, -6, -6, 62, 62, 16, 16, 114, 114, 58, 58, -48, -48, 37, 37, 14, 14, 2, 2, -102, -30, -30, -14, -14, -44, -44, 8, 8, 37, 37, -2, -2, -55, -55, -22, -22, 56, 56, -94, -94, -80, -80, -66, -66, -70, -70, -11, -11, -22, 57, 57, -58, -58, 11, 11, -30, -30, 50, 50, 94, 94, 34, 34, -6, -6, 17, 17, -101, -101, -6, -6, 92, 92, 28, 28, 64, 64, -28, -28, -92, -92, 16, 16, 25, 25, 103, 103, 6, 6, -54, -54, 14, 14, -82, -82, 122, 122, 67, 67, 81, 81, -6, -6, 6, 6, -106, -106, 47, 47, -14, -14, 46, 46, 13, 13, -12, -12, -33, -33, -94, -94, 96, 96, -90, -90, 20, 20, -11, -11, -41, -41, 78, 78, 17, 17, 81, 81, -62, -62, -89, -89, 67, 67, 66, 66, 85, 85, -26, -26, 122, 122, 86, 86, -12, -12, -22, -22, 42, 42, -68, -68, -35, -35, 20, 20, 52, 52, 31, 31, -60, -60, -26, -26, -30, -30, 78, 78, 6, 6, -68, -68, -56, -56, -121, -121, 98, 98, 101, 101, -29, -29, 3, 3, -1, -1, 56, 56, -120, -120, -73, -73, 66, 66, -55, -55, 28, 28, -34, -34, 15, 15, -12, -12, -93, 18, 18, -50, -50, -57, -57, -129, -129, 2, 2, -64, -64, -112, -112, -37, -37, 10, 10, -3, -3, -106, -106, 42, 42, 44, 44, -72, -72, 6, 6, 85, 85, 57, 57, 22, 22, -21, -21, 126, 126, 114, 114, -114, -114, 29, 29, -54, -54, -47, -47, 120, 120, 138, 138, -94, -94, 98, 98, -114, -114, 110, 110, -115, -115, -72, -72, -121, -121, 47, 47, 29, 29, -105, -105, 118, 118, 106, 106, -24, -24, -28, -28, 51, 51, -140, -140, -22, -22, -100, -100, -131, -131, -46, -46, -76, -76, -48, -48, -87, -87, -76, -76, -6, -6, 2, 2, -152, -152, 119, 119, 31, 31, 112, 112, -42, -42, 129, 129, -90, -90, 146, 146, -8, -8, 4, 4, 1, 1, -158, -158, 37, 37, 8, 8, 82, 82, 34, 34, 90, 90, 16, 16, 138, 138, 114, 114, 144, 144, -141, -141, 24, 24, -57, -57, 5, 5, 3, 3, 91, 91, 66, 66, 9, 9, -58, -58, 55, 55, 17, 17, 18, 18, -23, -23, 40, 40, -116, -116, 1, 1, 150, 150, -27, -27, 98, 98, 29, 29, 130, 130, -1, -1, 100, 100, -45, -45, -28, -28, 98, 98, 44, 44, 20, 20, 13, 13, -1, -1, 80, 80, -100, -100, 104, 104, -30, -30, 31, 31, 156, 156, -114, -114, 114, 114, -136, -136, 65, 65, -156, -156, -90, -90, -24, -24, -138, -138, -118, -118, 72, 72, -57, -57, -102, -102, -74, -74, -80, -80, 51, 51, 60, 60, 157, 157, 69, 69, 26, 26, 37, 37, 82, 82, 133, 133, 48, 48, 3, 3, -54, -54, 70, 70, 2, 2, 73, 73, -139, -139, 106, 106, -22, -22, 30, 30, -54, -54, -38, -38, 114, 114, -139, -139, -86, -86, 98, 98, -134, -134, -18, -18, 72, 72, -94, -94, -83, -83, -78, -78, -43, -43, -26, -26, -45, -45, -96, -96, 78, -82, -82, -6, -6, 144, 144, 47, 47, -38, -38, 113, 113, -154, -154, 55, 55, -104, -104, -37, -37, 132, 132, -72, -72, 4, 4, -6, -6, 105, 105, -67, -67, 63, 63, 116, 116, 18, 18, 46, 46, 65, 65, -34, -34, -96, -96, -36, -36, 72, 72, 111, 111, -112, -112, -49, -49, 70, 70, -20, -20, -75, -75, -39, -39, 168, 168, 50, 50, -97, -97, -90, -90, -44, -44, 48, 48, 102, 102, -105, -105, -126, -126, 72, 72, 22, 22, 140, 140, -81, -81, 146, 146, -106, -106, 166, 166, 84, 84, 170, 170, -34, -34, 34, 34, 22, 22, -146, -146, -97, -97, -161, -161, 144, 144, 119, 119, 142, 142, 90, 90, -20, -20, 94, 94, 12, 12, 182, 182, -130, -130, -116, -116, 63, 63, 135, 135, -140, -140, -60, -60, 22, 22, 94, 94, -123, -123, -62, -62, -4, -4, 19, 19, 90, 90, -125, -125, 146, 146, 106, 106, -51, -51, 184, 184, -101, -101, -122, -122, -158, -143, -143, 149, 149, -123, -123, 14, 14, -32, -32, 28, 28, -52, -52, 102, 102, -64, -64, -40, -40, -23, -23, -22, -22, -166, -166, 163, 163, -139, -139, 6, 6, 114, 114, 122, 122, -23, -23, 126, 126, 69, 69, 115, 115, 8, 8, 54, 54, 178, 178, 96, 96, -56, -56, -124, -124, -106, -106, 11, 11], 'hecke_polynomial': 'x', 'label': '2.2.92.1-184.1-g'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 92, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 5]', '[4, 2, 2]', '[7, 7, -w + 4]', '[7, 7, w + 4]', '[8, 4, -2*w - 10]', '[9, 3, 3]', '[11, 11, -2*w + 9]', '[11, 11, -2*w - 9]', '[13, 13, w + 6]', '[13, 13, -w + 6]', '[14, 14, w + 3]', '[14, 14, -w + 3]', '[16, 4, 4]', '[18, 6, -3*w - 15]', '[19, 19, -w - 2]', '[19, 19, w - 2]', '[22, 22, w + 1]', '[22, 22, w - 1]', '[23, 23, -w]', '[25, 5, -5]', '[26, 26, -w - 7]', '[26, 26, w - 7]', '[28, 14, -2*w + 8]', '[28, 14, 2*w + 8]', '[29, 29, 7*w + 34]', '[29, 29, 2*w + 11]', '[32, 8, -4*w - 20]', '[36, 6, 6]', '[38, 38, -3*w - 13]', '[38, 38, 7*w + 33]', '[41, 41, -w - 8]', '[41, 41, w - 8]', '[43, 43, 2*w - 7]', '[43, 43, -2*w - 7]', '[44, 22, -4*w + 18]', '[44, 22, -4*w - 18]', '[46, 46, 5*w + 23]', '[49, 7, 7]', '[49, 49, -3*w + 16]', '[49, 49, 3*w + 16]', '[50, 10, 5*w + 25]', '[52, 26, 2*w + 12]', '[52, 26, -2*w + 12]', '[56, 28, 2*w + 6]', '[56, 28, -2*w + 6]', '[58, 58, -w - 9]', '[58, 58, w - 9]', '[63, 21, -3*w + 12]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[67, 67, 2*w - 5]', '[67, 67, -2*w - 5]', '[72, 12, -6*w - 30]', '[73, 73, 9*w + 44]', '[73, 73, 4*w + 21]', '[76, 38, -2*w - 4]', '[76, 38, 2*w - 4]', '[77, 77, w + 10]', '[77, 77, 2*w - 13]', '[77, 77, 2*w + 13]', '[77, 77, w - 10]', '[79, 79, -4*w - 17]', '[79, 79, 11*w + 52]', '[81, 9, 9]', '[82, 82, 3*w + 17]', '[82, 82, 13*w + 63]', '[83, 83, 2*w - 3]', '[83, 83, -2*w - 3]', '[86, 86, 17*w + 81]', '[86, 86, -3*w - 11]', '[88, 44, 2*w + 2]', '[88, 44, 2*w - 2]', '[91, 91, 5*w - 22]', '[91, 91, -2*w + 1]', '[91, 91, 2*w + 1]', '[91, 91, -5*w - 22]', '[92, 46, -2*w]', '[98, 14, 7*w + 35]', '[98, 98, -w - 11]', '[98, 98, w - 11]', '[99, 33, -6*w + 27]', '[99, 33, -6*w - 27]', '[100, 10, -10]', '[101, 101, 10*w + 49]', '[101, 101, 5*w + 26]', '[103, 103, -7*w - 32]', '[103, 103, 8*w + 37]', '[104, 52, -2*w - 14]', '[104, 52, 2*w - 14]', '[107, 107, -3*w - 10]', '[107, 107, 3*w - 10]', '[112, 28, -4*w + 16]', '[112, 28, 4*w + 16]', '[116, 58, 14*w + 68]', '[116, 58, 4*w + 22]', '[117, 39, 3*w + 18]', '[117, 39, -3*w + 18]', '[121, 11, 11]', '[121, 121, w + 12]', '[121, 121, -w + 12]', '[126, 42, 3*w + 9]', '[126, 42, -3*w + 9]', '[128, 16, -8*w - 40]', '[133, 133, 6*w - 31]', '[133, 133, -2*w + 15]', '[133, 133, 2*w + 15]', '[133, 133, -6*w - 31]', '[134, 134, -5*w - 21]', '[134, 134, 15*w + 71]', '[143, 143, -4*w + 15]', '[143, 143, -3*w + 8]', '[143, 143, -3*w - 8]', '[143, 143, -4*w - 15]', '[144, 12, 12]', '[146, 146, -w - 13]', '[146, 146, w - 13]', '[152, 76, -6*w - 26]', '[152, 76, 14*w + 66]', '[154, 154, 3*w - 19]', '[154, 154, 5*w + 27]', '[154, 154, 5*w - 27]', '[154, 154, 3*w + 19]', '[158, 158, -3*w - 7]', '[158, 158, 3*w - 7]', '[161, 161, -4*w - 23]', '[161, 161, -4*w + 23]', '[162, 18, -9*w - 45]', '[164, 82, -2*w - 16]', '[164, 82, 2*w - 16]', '[166, 166, 13*w + 61]', '[166, 166, -7*w - 31]', '[169, 13, 13]', '[169, 169, -7*w + 36]', '[169, 169, 7*w + 36]', '[171, 57, -3*w - 6]', '[171, 57, 3*w - 6]', '[172, 86, 4*w - 14]', '[172, 86, -4*w - 14]', '[173, 173, -w - 14]', '[173, 173, w - 14]', '[175, 35, 5*w - 20]', '[175, 35, -5*w - 20]', '[176, 44, -8*w + 36]', '[176, 44, -8*w - 36]', '[182, 182, 9*w + 41]', '[182, 182, 3*w - 5]', '[182, 182, -3*w - 5]', '[182, 182, -9*w + 41]', '[184, 92, 10*w + 46]', '[191, 191, -3*w - 4]', '[191, 191, 3*w - 4]', '[193, 193, -3*w - 20]', '[193, 193, 3*w - 20]', '[196, 14, 14]', '[196, 98, -6*w + 32]', '[196, 98, 6*w + 32]', '[197, 197, 2*w - 17]', '[197, 197, -2*w - 17]', '[198, 66, 3*w + 3]', '[198, 66, 3*w - 3]', '[199, 199, -4*w - 13]', '[199, 199, 4*w - 13]', '[200, 20, 10*w + 50]', '[202, 202, -w - 15]', '[202, 202, w - 15]', '[203, 203, -6*w - 25]', '[203, 203, 3*w - 2]', '[203, 203, -3*w - 2]', '[203, 203, 6*w - 25]', '[206, 206, -3*w - 1]', '[206, 206, 3*w - 1]', '[207, 69, -3*w]', '[208, 52, 4*w + 24]', '[208, 52, -4*w + 24]', '[209, 209, 13*w + 64]', '[209, 209, -5*w + 28]', '[209, 209, -5*w - 28]', '[209, 209, 13*w - 64]', '[214, 214, 25*w + 119]', '[214, 214, -5*w - 19]', '[224, 56, 4*w + 12]', '[224, 56, -4*w + 12]', '[225, 15, -15]', '[227, 227, 18*w + 85]', '[227, 227, -7*w - 30]', '[232, 116, -2*w - 18]', '[232, 116, 2*w - 18]', '[233, 233, -w - 16]', '[233, 233, w - 16]', '[234, 78, -3*w - 21]', '[234, 78, 3*w - 21]', '[242, 22, -11*w - 55]', '[242, 242, -7*w - 37]', '[242, 242, 7*w - 37]', '[247, 247, -4*w + 11]', '[247, 247, -8*w - 35]', '[247, 247, 8*w - 35]', '[247, 247, 4*w + 11]', '[251, 251, -5*w - 18]', '[251, 251, 5*w - 18]', '[252, 42, -6*w + 24]', '[252, 42, 6*w + 24]', '[253, 253, -9*w + 46]', '[253, 253, 9*w + 46]', '[256, 16, 16]', '[257, 257, 4*w - 25]', '[257, 257, -4*w - 25]', '[261, 87, 21*w + 102]', '[261, 87, 6*w + 33]', '[263, 263, 16*w + 75]', '[263, 263, -9*w - 40]', '[266, 266, w + 17]', '[266, 266, -5*w - 29]', '[266, 266, 5*w - 29]', '[266, 266, -w + 17]', '[268, 134, 4*w - 10]', '[268, 134, -4*w - 10]', '[269, 269, 2*w - 19]', '[269, 269, -2*w - 19]', '[275, 55, 10*w - 45]', '[275, 55, 10*w + 45]', '[277, 277, 3*w - 22]', '[277, 277, -3*w - 22]', '[283, 283, -11*w - 50]', '[283, 283, 14*w + 65]', '[286, 286, 7*w + 29]', '[286, 286, 5*w - 17]', '[286, 286, 5*w + 17]', '[286, 286, 7*w - 29]', '[287, 287, -4*w - 9]', '[287, 287, 12*w - 55]', '[287, 287, -12*w - 55]', '[287, 287, 4*w - 9]', '[288, 24, -12*w - 60]', '[289, 17, -17]', '[292, 146, 18*w + 88]', '[292, 146, 8*w + 42]', '[299, 299, -6*w + 23]', '[299, 299, -6*w - 23]', '[301, 301, w + 18]', '[301, 301, -15*w - 74]', '[301, 301, 15*w - 74]', '[301, 301, -w + 18]', '[304, 76, -4*w - 8]', '[304, 76, 4*w - 8]', '[308, 154, 2*w + 20]', '[308, 154, 4*w - 26]', '[308, 154, 4*w + 26]', '[308, 154, 2*w - 20]', '[316, 158, -8*w - 34]', '[316, 158, 22*w + 104]', '[317, 317, 7*w + 38]', '[317, 317, 22*w + 107]', '[319, 319, -5*w - 16]', '[319, 319, -4*w + 7]', '[319, 319, -4*w - 7]', '[319, 319, -5*w + 16]', '[322, 322, -3*w - 23]', '[322, 322, -3*w + 23]', '[324, 18, 18]', '[325, 65, -5*w - 30]', '[325, 65, 5*w - 30]', '[328, 164, 6*w + 34]', '[328, 164, 26*w + 126]', '[332, 166, 4*w - 6]', '[332, 166, -4*w - 6]', '[338, 26, -13*w - 65]', '[338, 338, -w - 19]', '[338, 338, w - 19]', '[342, 114, -9*w - 39]', '[342, 114, 21*w + 99]', '[343, 49, 7*w - 28]', '[343, 49, -7*w - 28]', '[343, 343, -4*w - 5]', '[343, 343, 4*w - 5]', '[344, 172, 34*w + 162]', '[344, 172, -6*w - 22]', '[346, 346, 9*w + 47]', '[346, 346, 19*w + 93]', '[349, 349, 2*w - 21]', '[349, 349, -2*w - 21]', '[350, 70, -5*w - 15]', '[350, 70, 5*w - 15]', '[352, 88, 4*w + 4]', '[352, 88, 4*w - 4]', '[353, 353, 16*w + 79]', '[353, 353, 11*w + 56]', '[359, 359, 4*w - 3]', '[359, 359, -4*w - 3]', '[361, 19, 19]', '[361, 361, -4*w - 27]', '[361, 361, 4*w - 27]', '[364, 182, 10*w - 44]', '[364, 182, -4*w + 2]', '[364, 182, 4*w + 2]', '[364, 182, -10*w - 44]', '[367, 367, -4*w - 1]', '[367, 367, 4*w - 1]', '[368, 92, -4*w]', '[369, 123, -3*w - 24]', '[369, 123, 3*w - 24]', '[377, 377, w + 20]', '[377, 377, -8*w + 43]', '[377, 377, 8*w + 43]', '[377, 377, -w + 20]', '[379, 379, 5*w - 14]', '[379, 379, -5*w - 14]', '[382, 382, 19*w + 89]', '[382, 382, -11*w - 49]', '[383, 383, 8*w + 33]', '[383, 383, -8*w + 33]', '[386, 386, 35*w + 169]', '[386, 386, 5*w + 31]', '[387, 129, 6*w - 21]', '[387, 129, -6*w - 21]', '[392, 28, 14*w + 70]', '[392, 196, -2*w - 22]', '[392, 196, 2*w - 22]', '[394, 394, 27*w + 131]', '[394, 394, 7*w + 39]', '[396, 66, -12*w + 54]', '[396, 66, -12*w - 54]', '[397, 397, -6*w - 35]', '[397, 397, 6*w - 35]', '[398, 398, 33*w + 157]', '[398, 398, -7*w - 27]', '[400, 20, -20]', '[404, 202, 20*w + 98]', '[404, 202, 10*w + 52]', '[406, 406, -13*w - 59]', '[406, 406, -5*w - 13]', '[406, 406, 5*w - 13]', '[406, 406, 13*w - 59]', '[409, 409, 17*w + 84]', '[409, 409, 12*w + 61]', '[412, 206, -14*w - 64]', '[412, 206, 16*w + 74]', '[414, 138, 15*w + 69]', '[416, 104, -4*w - 28]', '[416, 104, 4*w - 28]', '[418, 418, -w - 21]', '[418, 418, -3*w + 25]', '[418, 418, -3*w - 25]', '[418, 418, -w + 21]', '[419, 419, 26*w + 123]', '[419, 419, -9*w - 38]', '[428, 214, -6*w - 20]', '[428, 214, 6*w - 20]', '[431, 431, 5*w - 12]', '[431, 431, -5*w - 12]', '[437, 437, 2*w - 23]', '[437, 437, -2*w - 23]', '[441, 21, 21]', '[441, 147, -9*w + 48]', '[441, 147, 9*w + 48]', '[448, 56, -8*w + 32]', '[448, 56, 8*w + 32]', '[449, 449, -5*w - 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33]', '[8111, 8111, -20*w - 33]', '[8147, 8147, 33*w + 130]', '[8147, 8147, -33*w + 130]', '[8179, 8179, 31*w + 118]', '[8179, 8179, -31*w + 118]', '[8231, 8231, 28*w - 99]', '[8231, 8231, -28*w - 99]', '[8237, 8237, 17*w - 122]', '[8237, 8237, -17*w - 122]', '[8269, 8269, 42*w + 221]', '[8269, 8269, 97*w + 474]', '[8273, 8273, 16*w - 119]', '[8273, 8273, -16*w - 119]', '[8287, 8287, -19*w - 4]', '[8287, 8287, 19*w - 4]', '[8291, 8291, 25*w - 78]', '[8291, 8291, -25*w - 78]', '[8293, 8293, 53*w + 270]', '[8293, 8293, 78*w + 385]', '[8329, 8329, 8*w - 99]', '[8329, 8329, -8*w - 99]', '[8353, 8353, -21*w - 136]', '[8353, 8353, 21*w - 136]', '[8363, 8363, -34*w + 135]', '[8363, 8363, 34*w + 135]', '[8387, 8387, 114*w + 539]', '[8387, 8387, -41*w - 174]', '[8423, 8423, -153*w - 728]', '[8423, 8423, 32*w + 123]', '[8513, 8513, 112*w + 545]', '[8513, 8513, 37*w + 200]', '[8527, 8527, -29*w - 104]', '[8527, 8527, 29*w - 104]', '[8537, 8537, 28*w - 163]', '[8537, 8537, -28*w - 163]', '[8543, 8543, -21*w - 40]', '[8543, 8543, 21*w - 40]', '[8563, 8563, 127*w + 602]', '[8563, 8563, -38*w - 157]', '[8581, 8581, 6*w - 97]', '[8581, 8581, -6*w - 97]', '[8597, 8597, 19*w - 130]', '[8597, 8597, -19*w - 130]', '[8599, 8599, -25*w - 76]', '[8599, 8599, 25*w - 76]', '[8623, 8623, -28*w - 97]', '[8623, 8623, 28*w - 97]', '[8629, 8629, 3*w - 94]', '[8629, 8629, -3*w - 94]', '[8641, 8641, 5*w - 96]', '[8641, 8641, -5*w - 96]', '[8647, 8647, -31*w + 116]', '[8647, 8647, 31*w + 116]', '[8663, 8663, 33*w + 128]', '[8663, 8663, -152*w - 723]', '[8677, 8677, 18*w - 127]', '[8677, 8677, -18*w - 127]', '[8689, 8689, 35*w + 192]', '[8689, 8689, 120*w + 583]', '[8699, 8699, -21*w - 38]', '[8699, 8699, 21*w - 38]', '[8731, 8731, -22*w - 49]', '[8731, 8731, 22*w - 49]', '[8741, 8741, 74*w + 367]', '[8741, 8741, 59*w + 298]', '[8747, 8747, -51*w - 226]', '[8747, 8747, 94*w + 441]', '[8753, 8753, -16*w - 121]', '[8753, 8753, 16*w - 121]', '[8783, 8783, 36*w + 145]', '[8783, 8783, -36*w + 145]', '[8803, 8803, -23*w - 58]', '[8803, 8803, 23*w - 58]', '[8807, 8807, -44*w - 189]', '[8807, 8807, 111*w + 524]', '[8819, 8819, 30*w - 109]', '[8819, 8819, -30*w - 109]', '[8821, 8821, 86*w + 423]', '[8821, 8821, 51*w + 262]', '[8831, 8831, 93*w + 436]', '[8831, 8831, -52*w - 231]', '[8839, 8839, 20*w - 19]', '[8839, 8839, -20*w - 19]', '[8861, 8861, 106*w + 517]', '[8861, 8861, 41*w + 218]', '[8923, 8923, 22*w - 47]', '[8923, 8923, -22*w - 47]', '[8933, 8933, 2*w - 95]', '[8933, 8933, -2*w - 95]', '[9001, 9001, 121*w + 588]', '[9001, 9001, 36*w + 197]', '[9007, 9007, 28*w - 95]', '[9007, 9007, -28*w - 95]', '[9029, 9029, 5*w - 98]', '[9029, 9029, -5*w - 98]', '[9041, 9041, 4*w - 97]', '[9041, 9041, -4*w - 97]', '[9059, 9059, 90*w + 421]', '[9059, 9059, -55*w - 246]', '[9067, 9067, 109*w + 514]', '[9067, 9067, -46*w - 199]', '[9109, 9109, 13*w - 114]', '[9109, 9109, -13*w - 114]', '[9127, 9127, -56*w - 251]', '[9127, 9127, 89*w + 416]', '[9133, 9133, 129*w + 626]', '[9133, 9133, 34*w + 189]', '[9137, 9137, -8*w - 103]', '[9137, 9137, 8*w - 103]', '[9151, 9151, -20*w - 7]', '[9151, 9151, 20*w - 7]', '[9157, 9157, 107*w + 522]', '[9157, 9157, 42*w + 223]', '[9181, 9181, 14*w - 117]', '[9181, 9181, -14*w - 117]', '[9187, 9187, 38*w + 155]', '[9187, 9187, -38*w + 155]', '[9199, 9199, -20*w - 1]', '[9199, 9199, 20*w - 1]', '[9209, 9209, -32*w - 181]', '[9209, 9209, 32*w - 181]', '[9241, 9241, 16*w - 123]', '[9241, 9241, -16*w - 123]', '[9277, 9277, 7*w - 102]', '[9277, 9277, -7*w - 102]', '[9281, 9281, 61*w + 308]', '[9281, 9281, 76*w + 377]', '[9283, 9283, 22*w - 43]', '[9283, 9283, -22*w - 43]', '[9293, 9293, 94*w + 461]', '[9293, 9293, 49*w + 254]', '[9311, 9311, -48*w - 209]', '[9311, 9311, 107*w + 504]', '[9341, 9341, 25*w + 154]', '[9341, 9341, 170*w + 821]', '[9343, 9343, -29*w - 100]', '[9343, 9343, 29*w - 100]', '[9371, 9371, -27*w - 86]', '[9371, 9371, 27*w - 86]', '[9377, 9377, 53*w + 272]', '[9377, 9377, 88*w + 433]', '[9391, 9391, 32*w + 119]', '[9391, 9391, -32*w + 119]', '[9397, 9397, -3*w - 98]', '[9397, 9397, 3*w - 98]', '[9403, 9403, -43*w - 182]', '[9403, 9403, 122*w + 577]', '[9409, 97, -97]', '[9413, 9413, 101*w + 494]', '[9413, 9413, 46*w + 241]', '[9433, 9433, -4*w - 99]', '[9433, 9433, 4*w - 99]', '[9461, 9461, 35*w + 194]', '[9461, 9461, 130*w + 631]', '[9463, 9463, -23*w - 52]', '[9463, 9463, 23*w - 52]', '[9467, 9467, 21*w - 26]', '[9467, 9467, -21*w - 26]', '[9491, 9491, -63*w - 286]', '[9491, 9491, 82*w + 381]', '[9539, 9539, 105*w + 494]', '[9539, 9539, -50*w - 219]', '[9587, 9587, -66*w - 301]', '[9587, 9587, 79*w + 366]', '[9619, 9619, 26*w - 77]', '[9619, 9619, -26*w - 77]', '[9631, 9631, -68*w - 311]', '[9631, 9631, 77*w + 356]', '[9649, 9649, 72*w + 359]', '[9649, 9649, 67*w + 336]', '[9661, 9661, 54*w + 277]', '[9661, 9661, 89*w + 438]', '[9679, 9679, -160*w - 761]', '[9679, 9679, 35*w + 136]', '[9689, 9689, -7*w - 104]', '[9689, 9689, 7*w - 104]', '[9733, 9733, 171*w + 826]', '[9733, 9733, 26*w + 159]', '[9739, 9739, -29*w - 98]', '[9739, 9739, 29*w - 98]', '[9743, 9743, 21*w - 20]', '[9743, 9743, -21*w - 20]', '[9767, 9767, -24*w - 59]', '[9767, 9767, 24*w - 59]', '[9781, 9781, 6*w - 103]', '[9781, 9781, -6*w - 103]', '[9803, 9803, 38*w + 153]', '[9803, 9803, -38*w + 153]', '[9829, 9829, -5*w - 102]', '[9829, 9829, 5*w - 102]', '[9833, 9833, 4*w - 101]', '[9833, 9833, -4*w - 101]', '[9851, 9851, 102*w + 479]', '[9851, 9851, -53*w - 234]', '[9857, 9857, 28*w + 167]', '[9857, 9857, 163*w + 788]', '[9859, 9859, 119*w + 562]', '[9859, 9859, -46*w - 197]', '[9887, 9887, -21*w - 16]', '[9887, 9887, 21*w - 16]', '[9907, 9907, 22*w - 35]', '[9907, 9907, -22*w - 35]', '[9923, 9923, 26*w - 75]', '[9923, 9923, -26*w - 75]', '[9929, 9929, 73*w + 364]', '[9929, 9929, 68*w + 341]', '[9949, 9949, 90*w + 443]', '[9949, 9949, 55*w + 282]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  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': [-23, 0, 1], 'conductor': 92, 'degree': 2, 'dirichlet_group': [1, 91], 'disc_abs': 92, 'disc_rad': 46, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [0]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 9.591663046625438, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.92.1', 'local_algs': ['2.1.2.2a1.1', '23.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 23], 'rd': 9.59166304663, 'regulator': {'__RealLiteral__': 0, 'data': '3.87076670029', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 5 a - 24 \\)'], 'used_grh': False, 'zk': ['1', 'a']}