Hilbert modular form data - 2.2.29.1-400.1-f

Formats: - HTML - YAML - JSON - 2024-06-07T12:52:46.831664

• 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': 29, 'field_bad_primes': [29], 'field_label': '2.2.29.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.29.1-400.1-f', 'label_nsuffix': 5, 'label_suffix': 'f', 'level_bad_primes': [2, 5], 'level_ideal': '[400, 20, 20]', 'level_label': '400.1', 'level_norm': 400, 'parallel_weight': 2, 'short_label': '400.1-f', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[4, 2, 2]', 1], ['[5, 5, w + 1]', 1], ['[5, 5, w - 2]', 1]], 'hecke_eigenvalues': [0, -1, -1, 2, 2, -2, 2, 2, 6, 6, 6, -6, -6, 12, 12, 2, 2, -12, -12, 6, 6, 14, 14, -6, -6, 2, 2, -22, -4, -4, -6, -6, 20, 20, 18, 18, -6, -6, -12, -12, -10, -10, 18, 18, 8, 8, -10, -10, -6, -6, -6, -6, -24, -24, 14, 14, -6, -6, 26, 26, 6, 6, 14, 14, 2, -22, -22, -30, -30, -10, -10, 18, 18, -22, 26, 26, 6, 6, 2, 2, -30, -30, 36, 36, 36, 36, 8, 8, 26, 26, 14, 14, 26, 26, -4, -4, 6, 6, -6, -6, 14, 14, 26, 26, -30, -30, 8, 8, -6, -6, 18, 18, 2, 2, -28, -28, 14, 14, 42, 42, -22, -22, -46, -46, -42, -42, 8, 8, -30, -30, -34, -34, -24, -24, 42, 42, 26, 26, -16, -16, -54, -54, 18, 18, 6, 6, 26, 26, 14, 14, -16, -16, -42, -42, -22, -22, -18, -18, -6, -6, -46, 18, 18, -4, -4, 50, 50, 36, 36, 14, 14, 12, 12, -16, -16, 42, 42, 8, 8, -46, -46, -22, -22, -30, -30, -42, -42, 30, 30, 12, 12, -22, -22, -6, -6, 26, 26, -30, -30, 30, 30, -28, -28, -6, -6, 30, 30, -6, -6, 42, 42, -10, -10, 50, 50, 18, 18, -70, 32, 32, -54, -54, -24, -24, -52, -52, 62, 62, -60, -60, -64, -64, -10, -10, -30, -30, 24, 24, 50, 50, -72, -72, -4, -4, 18, 18, 12, 12, 42, 42, -70, -70, 14, 14, -46, -78, -78, 62, 62, 2, 2, 26, 26, -10, -10, -48, -48, -42, -42, -4, -4, 42, 42, 14, -58, -58, 80, 80, -42, -42, 18, 18, 42, 42, 18, 18, 18, 18, -78, -78, -60, -60, -54, -54, 2, 2, -10, -10, 24, 24, 2, 2, 54, 54, -30, -30, -82, -82, -30, -30, 74, 74, 12, 12, 26, 26, 2, 2, -30, -30, -30, -30, -52, -52, -10, -10, -58, -54, -54, 42, 42, -40, -40, -6, -6, 50, 50, 2, 2, 42, 42, 20, 20, 18, 18, 80, 80, 74, 74, 62, 62, -72, -72, 54, 54, 74, 74, -54, -54, -36, -36, -34, -34, 68, 68, 78, 78, -76, -76, 50, 50, 6, 6, 2, 2, -78, -78, -4, -4, 6, 6, 50, 50, 42, 42, -46, -46, 8, 8, 32, 32, 50, 50, 18, 18, 90, 90, 20, 20, -70, -70, -60, -60, -46, -46, 18, 18, -18, -18, 32, 32, 2, 2, -30, -30, 74, 74, -102, -102, -18, -18, -88, -88, -48, -48, -66, -66, 30, 30, 26, 26, 74, 74, 2, 2, -64, -64, -42, -42, -22, -22, -72, -72, -102, -102, 66, 66, 50, 50, 108, 108, 54, 54, 50, 50, 18, 18, -4, -4, -108, -108, 38, 38, -46, -46, -46, -46, 8, 8, 66, 66, -88, -88, 72, 72, 0, 0, -46, -46, -90, -90, -102, -102, -70, -70, 18, 18, -22, -22, 90, 90, 12, 12, -94, -94, -88, -88, -106, -106, -76, -76, 60, 60, 18, 18, -72, -72, -118, 30, 30, -34, -34, 36, 36, -22, -22, -18, -18, 30, 30, -10, -10, -54, -54, 120, 120, -46, -46, -66, -66, -22, -22, -6, -6, -60, -60, -40, -40, 80, 80, -34, -34, 122, 122, 78, 78, -30, -30, -34, -34, 114, 114, 50, 50, 56, 56, 66, 66, 26, 26, 20, 20, -54, -54, 50, 50, 2, 2, -22, -22, -72, -72, 30, 30, 30, 30, -106, -106, -36, -36, 54, 54, -22, -22, 122, 122, 66, 66, 18, 18, 2, 2, -106, -106, 18, 18, -66, -66, 90, 90, -118, -118, -54, -54, -54, -54, 128, 128, 6, 6, -126, -126, 14, 14, 6, 6, 44, 44, -16, -16, 90, 90, -34, -34, -54, -54, -24, -24, 126, 126, 30, 30, -58, -58, -78, -78, -84, -84, 110, 110, -130, -130, 26, 26, 12, 12, -126, -126, 24, 24, 114, 114, 54, 54, -22, -22, 98, 98, 80, 80, 78, 78, -106, -106, -24, -24, 24, 24, 116, 116, -6, -6, -84, -84, -70, -70, -78, -78, -70, -70, 120, 120, 122, 122, 122, 122, 74, 74, -6, -6, -96, -96, 102, 102, -130, -130, -142, -6, -6, -102, -102, -6, -6, -72, -72, -46, -46, -54, -54, -52, -52, -10, -10, -30, -30, -126, -126, 14, 14, -48, -48, 86, 86, 134, 134, -6, -6, -142, -142, 108, 108, 0, 0, -72, -72, 20, 20, -34, -34, 74, 74, -126, -126, -102, -102, -94, -94, 30, 30, -10, -10, 74, 74, -76, -76, 54, 54, 114, 114, 42, 42, -6, -6, 56, 56, 50, 50, -30, -30, 134, 134, -138, -138, 86, 86, 60, 60, 30, 30, -78, -78, 50, 50, -46, -46, -118, -118, 78, 78, -64, -64, -54, -54, -114, -114, -6, -6, -102, -102, -40, -40, 80, 80, -70, -70, -94, 42, 42, 126, 126, -78, -78, -100, -100, -46, -46, -150, -150, 108, 108, -102, -102, 54, 54, 30, 30, 26, 26, 146, 146, 44, 44, 78, 78, -64, -64, -30, -30, -48, -48, -6, -6, 50, 50, 122, 122, -46, -46, 150, 150, -118, -118, 48, 48, 2, 2, -100, -100, 98, 98, 38, 38, -16, -16, 38, 38, -96, -96, -46, -46, -126, -126, -6, -6, 14, 14, 36, 36, 98, 98, 60, 60, 122, 122, 42, 42, 126, 126, 50, 50, 36, 36, -54, -54, 24, 24, 50, 50, 2, 2, -66, -66, 114, 114, -36, -36, 98, 98, 6, 6, 38, 38, -54, -54, -66, -66, 66, 66, -34, -34, 8, 8, -78, -78, -6, -6, 2, 2, 14, 14, -114, -114, -54, -54, 134, 134, 122, 122, 72, 72, 98, 98, -16, -16, 74, 74, 42, 42, 90, 90, -124, -124, 122, 122, -42, -42, -6, -6, 86, 86, -46, -46, 90, 90, -42, -42, 138, 138, 134, 134, -166, -166, -114, -114, 116, 116, -154, -154, 90, 90, 26, 26, 126, 126, -30, -30, -70, -70, 110, 110, 120, 120, 38, 38, 42, 42, 8, 8, 138, 138, 6, 6, -6, -6, -54, -54, 56, 56, -114, -114, -30, -30, -142, 2, 2, 114, 114, -28, -28, -150, -150, 56, 56, -142, -142, 0, 0, 74, 74, -114, -114, 90, 90, 36, 36, 24, 24, 140, 140, 92, 92, -12, -12, -102, -102, -114, -114, 50, 50, 98, 98, -70, -70, -70, -70, 26, 26, -70, -70, 98, 98, 66, 66, -148, -148, -138, -138, -10, -10, 110, 110, 2, 2, -54, -54, -54, -54, -154, -154, 122, 122, -28, -28, 42, 42, 102, 102, -118, -118, -46, -46, 2, 2, 2, 2, 90, 90, -108, -108, 50, 50, -70, -70, -126, -126, 126, 126, -34, -34, -30, -30, -10, -10, 176, 176, 162, 162, -30, -30, -54, -54, 2, 2, 14, 14, -6, -6, -130, -130, 120, 120, -22, -22, -114, -114, -10, -10, 110, 110, -28, -28, -142, -142, 186, 186, -46, -46, 8, 8, 30, 30, -102, -102, -150, -150, -150, -150, 30, 30, 18, 18, 50, 50, -130, -130, 120, 120, 164, 164, 170, 170, 134, 134, -190, 132, 132, 146, 146, 180, 180, -150, -150, 86, 86, 18, 18, -120, -120, -100, -100, 162, 162, 194, 194, -100, -100, 6, 6, -42, -42, -82, -82, 42, 42, -40, -40, 144, 144, 38, 38, 92, 92, 78, 78, 78, 78, 66, 66, -70, -70, 126, 126, 56, 56, -48, -48, -76, -76, -58, -58, -18, -18, -112, -112, -42, -42, -190, -190], 'hecke_polynomial': 'x', 'label': '2.2.29.1-400.1-f'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 29, 'ideals': ['[1, 1, 1]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w - 2]', '[7, 7, w]', '[7, 7, -w + 1]', '[9, 3, 3]', '[13, 13, w + 4]', '[13, 13, w - 5]', '[16, 4, 4]', '[20, 10, 2*w + 2]', '[20, 10, 2*w - 4]', '[23, 23, -w - 5]', '[23, 23, w - 6]', '[25, 5, 5]', '[25, 25, 2*w - 3]', '[25, 25, 2*w + 1]', '[28, 14, 2*w]', '[28, 14, -2*w + 2]', '[29, 29, 2*w - 1]', '[35, 35, -w - 6]', '[35, 35, 2*w - 9]', '[35, 35, 2*w + 7]', '[35, 35, -w + 7]', '[36, 6, 6]', '[45, 15, 3*w + 3]', '[45, 15, 3*w - 6]', '[49, 7, 7]', '[49, 49, w + 7]', '[49, 49, -w + 8]', '[52, 26, 2*w + 8]', '[52, 26, 2*w - 10]', '[53, 53, 3*w - 5]', '[53, 53, -3*w - 2]', '[59, 59, -3*w - 1]', '[59, 59, 3*w - 4]', '[63, 21, 3*w]', '[63, 21, -3*w + 3]', '[64, 8, 8]', '[65, 65, -w - 8]', '[65, 65, -3*w + 2]', '[65, 65, 3*w - 1]', '[65, 65, -w + 9]', '[67, 67, 3*w - 13]', '[67, 67, -3*w - 10]', '[71, 71, 2*w - 11]', '[71, 71, -2*w - 9]', '[80, 20, 4*w + 4]', '[80, 20, 4*w - 8]', '[81, 9, 9]', '[83, 83, -w - 9]', '[83, 83, w - 10]', '[91, 91, -4*w + 7]', '[91, 91, 3*w + 11]', '[91, 91, -3*w + 14]', '[91, 91, -4*w - 3]', '[92, 46, -2*w - 10]', '[92, 46, 2*w - 12]', '[100, 10, 10]', '[100, 50, 4*w - 6]', '[100, 50, 4*w + 2]', '[103, 103, -w - 10]', '[103, 103, w - 11]', '[107, 107, -4*w - 1]', '[107, 107, 4*w - 5]', '[109, 109, 4*w - 17]', '[109, 109, -4*w - 13]', '[112, 28, 4*w]', '[112, 28, -4*w + 4]', '[115, 115, -4*w + 3]', '[115, 115, -7*w - 12]', '[115, 115, -7*w + 19]', '[115, 115, -4*w + 1]', '[116, 58, 4*w - 2]', '[117, 39, 3*w + 12]', '[117, 39, 3*w - 15]', '[121, 11, -11]', '[125, 25, 5*w + 5]', '[125, 25, 5*w - 10]', '[125, 125, w + 11]', '[125, 125, -w + 12]', '[139, 139, 5*w - 9]', '[139, 139, -5*w - 4]', '[140, 70, -2*w - 12]', '[140, 70, 4*w - 18]', '[140, 70, 4*w + 14]', '[140, 70, -2*w + 14]', '[144, 12, 12]', '[145, 145, -3*w + 16]', '[145, 145, 3*w + 13]', '[149, 149, -w - 12]', '[149, 149, w - 13]', '[151, 151, -5*w - 3]', '[151, 151, 5*w - 8]', '[161, 161, -6*w - 7]', '[161, 161, -5*w + 7]', '[161, 161, 5*w + 2]', '[161, 161, 6*w - 13]', '[167, 167, 2*w - 15]', '[167, 167, -2*w - 13]', '[169, 13, 13]', '[169, 169, 5*w + 1]', '[169, 169, 5*w - 6]', '[173, 173, 7*w - 17]', '[173, 173, 4*w - 19]', '[175, 35, 5*w]', '[175, 35, -5*w + 5]', '[175, 175, -w - 13]', '[175, 175, 3*w + 14]', '[175, 175, 3*w - 17]', '[175, 175, -w + 14]', '[179, 179, 5*w - 4]', '[179, 179, 5*w - 1]', '[180, 30, 6*w + 6]', '[180, 30, 6*w - 12]', '[181, 181, 5*w - 2]', '[181, 181, 5*w - 3]', '[196, 14, 14]', '[196, 98, 2*w + 14]', '[196, 98, -2*w + 16]', '[197, 197, 6*w - 11]', '[197, 197, -6*w - 5]', '[199, 199, -5*w - 17]', '[199, 199, 5*w - 22]', '[203, 203, w + 14]', '[203, 203, w - 15]', '[207, 69, -3*w - 15]', '[207, 69, 3*w - 18]', '[208, 52, 4*w + 16]', '[208, 52, 4*w - 20]', '[212, 106, 6*w - 10]', '[212, 106, -6*w - 4]', '[223, 223, 6*w - 25]', '[223, 223, -6*w - 19]', '[225, 15, 15]', '[225, 75, 6*w - 9]', '[225, 75, 6*w + 3]', '[227, 227, 2*w - 17]', '[227, 227, -2*w - 15]', '[233, 233, -w - 15]', '[233, 233, w - 16]', '[236, 118, -6*w - 2]', '[236, 118, 6*w - 8]', '[239, 239, 5*w - 23]', '[239, 239, 8*w - 19]', '[241, 241, 3*w - 19]', '[241, 241, -3*w - 16]', '[245, 35, -7*w - 7]', '[245, 35, -7*w + 14]', '[245, 245, 6*w + 1]', '[245, 245, -4*w + 21]', '[245, 245, 4*w + 17]', '[245, 245, 6*w - 7]', '[252, 42, 6*w]', '[252, 42, -6*w + 6]', '[256, 16, 16]', '[257, 257, 6*w - 5]', '[257, 257, 6*w - 1]', '[260, 130, -2*w - 16]', '[260, 130, -6*w + 4]', '[260, 130, 6*w - 2]', '[260, 130, -2*w + 18]', '[261, 87, 6*w - 3]', '[265, 265, w + 16]', '[265, 265, -8*w - 23]', '[265, 265, -8*w + 31]', '[265, 265, w - 17]', '[268, 134, 6*w - 26]', '[268, 134, -6*w - 20]', '[277, 277, -3*w - 17]', '[277, 277, 3*w - 20]', '[281, 281, 9*w - 22]', '[281, 281, -9*w - 13]', '[283, 283, -7*w - 5]', '[283, 283, 7*w - 12]', '[284, 142, 4*w - 22]', '[284, 142, -4*w - 18]', '[289, 17, -17]', '[295, 295, -7*w + 29]', '[295, 295, 2*w - 19]', '[295, 295, 2*w + 17]', '[295, 295, -7*w - 22]', '[299, 299, -w - 17]', '[299, 299, -10*w + 37]', '[299, 299, -10*w - 27]', '[299, 299, -w + 18]', '[313, 313, 7*w - 10]', '[313, 313, -7*w - 3]', '[315, 105, -3*w - 18]', '[315, 105, 6*w - 27]', '[315, 105, 6*w + 21]', '[315, 105, -3*w + 21]', '[320, 40, 8*w + 8]', '[320, 40, 8*w - 16]', '[324, 18, 18]', '[325, 65, 5*w + 20]', '[325, 65, 5*w - 25]', '[325, 325, -4*w - 19]', '[325, 325, -7*w + 9]', '[325, 325, 7*w + 2]', '[325, 325, -4*w + 23]', '[332, 166, -2*w - 18]', '[332, 166, 2*w - 20]', '[335, 335, -16*w + 47]', '[335, 335, -7*w - 1]', '[335, 335, -7*w + 8]', '[335, 335, -16*w - 31]', '[343, 49, -7*w]', '[343, 49, 7*w - 7]', '[343, 343, -8*w + 15]', '[343, 343, 8*w + 7]', '[347, 347, -7*w - 23]', '[347, 347, 7*w - 30]', '[349, 349, 7*w - 6]', '[349, 349, 7*w - 1]', '[353, 353, 7*w - 2]', '[353, 353, 7*w - 5]', '[355, 355, -7*w + 3]', '[355, 355, -13*w - 23]', '[355, 355, -13*w + 36]', '[355, 355, -7*w + 4]', '[361, 19, -19]', '[364, 182, -8*w + 14]', '[364, 182, 6*w + 22]', '[364, 182, -6*w + 28]', '[364, 182, -8*w - 6]', '[368, 92, -4*w - 20]', '[368, 92, 4*w - 24]', '[371, 371, 5*w - 26]', '[371, 371, -2*w + 21]', '[371, 371, 2*w + 19]', '[371, 371, -5*w - 21]', '[373, 373, -w - 19]', '[373, 373, w - 20]', '[377, 377, 9*w + 10]', '[377, 377, -9*w + 19]', '[383, 383, 8*w - 13]', '[383, 383, -8*w - 5]', '[397, 397, -3*w - 20]', '[397, 397, 3*w - 23]', '[400, 20, 20]', '[400, 100, 8*w - 12]', '[400, 100, 8*w + 4]', '[401, 401, -7*w - 24]', '[401, 401, 7*w - 31]', '[405, 45, 9*w + 9]', '[405, 45, 9*w - 18]', '[412, 206, -2*w - 20]', '[412, 206, 2*w - 22]', '[413, 413, w + 20]', '[413, 413, 4*w - 25]', '[413, 413, -4*w - 21]', '[413, 413, -w + 21]', '[415, 415, -11*w + 27]', '[415, 415, -8*w - 3]', '[415, 415, -8*w + 11]', '[415, 415, -11*w - 16]', '[419, 419, -5*w - 22]', '[419, 419, 5*w - 27]', '[428, 214, -8*w - 2]', '[428, 214, 8*w - 10]', '[431, 431, 9*w - 17]', '[431, 431, -9*w - 8]', '[436, 218, 8*w - 34]', '[436, 218, -8*w - 26]', '[439, 439, -8*w - 1]', '[439, 439, 8*w - 9]', '[441, 21, 21]', '[441, 147, 3*w + 21]', '[441, 147, -3*w + 24]', '[448, 56, 8*w]', '[448, 56, -8*w + 8]', '[455, 455, -w - 21]', '[455, 455, 8*w - 7]', '[455, 455, -9*w - 7]', '[455, 455, -2*w + 23]', '[455, 455, 2*w + 21]', '[455, 455, -9*w + 16]', '[455, 455, 8*w - 1]', '[455, 455, w - 22]', '[457, 457, 7*w - 32]', '[457, 457, 11*w - 26]', '[460, 230, -8*w + 6]', '[460, 230, -14*w - 24]', '[460, 230, -14*w + 38]', '[460, 230, -8*w + 2]', '[463, 463, 8*w - 5]', '[463, 463, 8*w - 3]', '[464, 116, 8*w - 4]', '[468, 78, 6*w + 24]', '[468, 78, 6*w - 30]', '[469, 469, 10*w + 11]', '[469, 469, -13*w - 21]', '[469, 469, 13*w - 34]', '[469, 469, -10*w + 21]', '[477, 159, 9*w - 15]', '[477, 159, -9*w - 6]', '[484, 22, -22]', '[487, 487, 3*w - 25]', '[487, 487, -3*w - 22]', '[497, 497, 9*w + 5]', '[497, 497, -11*w - 14]', '[497, 497, 11*w - 25]', '[497, 497, -9*w + 14]', '[499, 499, -w - 22]', '[499, 499, w - 23]', '[500, 50, 10*w + 10]', '[500, 50, 10*w - 20]', '[500, 250, 2*w + 22]', '[500, 250, -2*w + 24]', '[509, 509, -4*w - 23]', '[509, 509, 4*w - 27]', '[515, 515, -9*w + 13]', '[515, 515, -12*w - 17]', '[515, 515, -12*w + 29]', '[515, 515, -9*w - 4]', '[521, 521, -5*w - 24]', '[521, 521, 5*w - 29]', '[523, 523, 13*w + 20]', '[523, 523, 13*w - 33]', '[529, 23, 23]', '[529, 529, 10*w - 19]', '[529, 529, -10*w - 9]', '[531, 177, -9*w - 3]', '[531, 177, 9*w - 12]', '[535, 535, 3*w + 23]', '[535, 535, -9*w - 29]', '[535, 535, -9*w + 38]', '[535, 535, 3*w - 26]', '[545, 545, -21*w + 62]', '[545, 545, -9*w + 11]', '[545, 545, -9*w - 2]', '[545, 545, -21*w - 41]', '[547, 547, 2*w - 25]', '[547, 547, -2*w - 23]', '[556, 278, 10*w - 18]', '[556, 278, -10*w - 8]', '[557, 557, -9*w - 1]', '[557, 557, 9*w - 10]', '[560, 140, -4*w - 24]', '[560, 140, 8*w - 36]', '[560, 140, 8*w + 28]', '[560, 140, -4*w + 28]', '[567, 63, 9*w]', '[567, 63, -9*w + 9]', '[571, 571, 10*w - 41]', '[571, 571, -10*w - 31]', '[575, 115, -5*w - 25]', '[575, 115, 5*w - 30]', '[575, 575, -9*w + 8]', '[575, 575, -13*w + 32]', '[575, 575, -13*w - 19]', '[575, 575, -9*w + 1]', '[576, 24, 24]', '[580, 290, -6*w + 32]', '[580, 290, 6*w + 26]', '[581, 581, -10*w - 7]', '[581, 581, 9*w - 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12]', '[8011, 8011, 35*w - 47]', '[8017, 8017, 7*w - 95]', '[8017, 8017, -7*w - 88]', '[8039, 8039, -31*w - 107]', '[8039, 8039, 31*w - 138]', '[8053, 8053, 11*w - 100]', '[8053, 8053, -11*w - 89]', '[8069, 8069, -35*w - 11]', '[8069, 8069, 35*w - 46]', '[8087, 8087, -13*w - 90]', '[8087, 8087, 13*w - 103]', '[8111, 8111, -10*w - 89]', '[8111, 8111, 10*w - 99]', '[8171, 8171, -36*w - 17]', '[8171, 8171, 36*w - 53]', '[8179, 8179, -35*w - 9]', '[8179, 8179, 35*w - 44]', '[8191, 8191, -5*w - 89]', '[8191, 8191, 5*w - 94]', '[8231, 8231, 35*w - 43]', '[8231, 8231, -35*w - 8]', '[8237, 8237, 34*w - 29]', '[8237, 8237, 34*w - 5]', '[8243, 8243, -11*w - 90]', '[8243, 8243, 11*w - 101]', '[8269, 8269, -15*w - 92]', '[8269, 8269, 15*w - 107]', '[8287, 8287, 49*w - 120]', '[8287, 8287, -49*w - 71]', '[8293, 8293, -36*w - 115]', '[8293, 8293, 36*w - 151]', '[8317, 8317, 34*w - 9]', '[8317, 8317, 34*w - 25]', '[8329, 8329, -35*w - 6]', '[8329, 8329, 35*w - 41]', '[8353, 8353, 38*w - 65]', '[8353, 8353, -38*w - 27]', '[8377, 8377, 34*w - 15]', '[8377, 8377, 34*w - 19]', '[8387, 8387, -7*w - 90]', '[8387, 8387, 7*w - 97]', '[8419, 8419, -35*w - 4]', '[8419, 8419, 35*w - 39]', '[8423, 8423, 48*w - 115]', '[8423, 8423, 29*w - 135]', '[8443, 8443, -37*w - 20]', '[8443, 8443, 37*w - 57]', '[8461, 8461, -35*w - 3]', '[8461, 8461, 35*w - 38]', '[8467, 8467, -18*w - 95]', '[8467, 8467, 18*w - 113]', '[8501, 8501, 35*w - 37]', '[8501, 8501, -35*w - 2]', '[8513, 8513, 19*w - 115]', '[8513, 8513, -19*w - 96]', '[8521, 8521, 50*w - 123]', '[8521, 8521, -50*w - 73]', '[8527, 8527, 41*w - 81]', '[8527, 8527, -41*w - 40]', '[8539, 8539, -35*w - 1]', '[8539, 8539, 35*w - 36]', '[8597, 8597, 23*w - 123]', '[8597, 8597, -23*w - 100]', '[8609, 8609, 35*w - 34]', '[8609, 8609, 35*w - 1]', '[8629, 8629, 11*w - 103]', '[8629, 8629, -11*w - 92]', '[8641, 8641, 35*w - 2]', '[8641, 8641, 35*w - 33]', '[8647, 8647, -41*w - 39]', '[8647, 8647, 41*w - 80]', '[8677, 8677, -3*w - 92]', '[8677, 8677, 3*w - 95]', '[8693, 8693, -42*w - 43]', '[8693, 8693, 42*w - 85]', '[8699, 8699, 35*w - 31]', '[8699, 8699, 35*w - 4]', '[8707, 8707, 37*w - 155]', '[8707, 8707, -37*w - 118]', '[8713, 8713, 39*w - 160]', '[8713, 8713, -39*w - 121]', '[8753, 8753, -16*w - 95]', '[8753, 8753, 16*w - 111]', '[8783, 8783, 31*w - 141]', '[8783, 8783, 48*w - 113]', '[8803, 8803, -37*w - 15]', '[8803, 8803, 37*w - 52]', '[8807, 8807, 2*w - 95]', '[8807, 8807, -2*w - 93]', '[8821, 8821, -23*w - 101]', '[8821, 8821, 23*w - 124]', '[8839, 8839, 35*w - 24]', '[8839, 8839, 35*w - 11]', '[8849, 8849, -40*w - 123]', '[8849, 8849, 40*w - 163]', '[8861, 8861, 35*w - 13]', '[8861, 8861, 35*w - 22]', '[8867, 8867, 36*w - 41]', '[8867, 8867, -36*w - 5]', '[8887, 8887, -18*w - 97]', '[8887, 8887, 18*w - 115]', '[8923, 8923, -w - 94]', '[8923, 8923, w - 95]', '[8933, 8933, 37*w - 50]', '[8933, 8933, -37*w - 13]', '[8941, 8941, 35*w - 151]', '[8941, 8941, -35*w - 116]', '[8999, 8999, 40*w - 71]', '[8999, 8999, -40*w - 31]', '[9013, 9013, 21*w - 121]', '[9013, 9013, -21*w - 100]', '[9041, 9041, 54*w - 137]', '[9041, 9041, 54*w + 83]', '[9043, 9043, -34*w - 115]', '[9043, 9043, 34*w - 149]', '[9049, 9049, 24*w - 127]', '[9049, 9049, -24*w - 103]', '[9151, 9151, -7*w - 94]', '[9151, 9151, 7*w - 101]', '[9157, 9157, -12*w - 95]', '[9157, 9157, 12*w - 107]', '[9173, 9173, -38*w - 17]', '[9173, 9173, 38*w - 55]', '[9187, 9187, 2*w - 97]', '[9187, 9187, -2*w - 95]', '[9199, 9199, 40*w - 69]', '[9199, 9199, -40*w - 29]', '[9209, 9209, 35*w - 152]', '[9209, 9209, -35*w - 117]', '[9221, 9221, -39*w - 23]', '[9221, 9221, 39*w - 62]', '[9227, 9227, 36*w - 5]', '[9227, 9227, 36*w - 31]', '[9257, 9257, -37*w - 120]', '[9257, 9257, 37*w - 157]', '[9281, 9281, -13*w - 96]', '[9281, 9281, 13*w - 109]', '[9293, 9293, -4*w - 95]', '[9293, 9293, 4*w - 99]', '[9337, 9337, -8*w - 95]', '[9337, 9337, 8*w - 103]', '[9343, 9343, -6*w - 95]', '[9343, 9343, 6*w - 101]', '[9371, 9371, 36*w - 13]', '[9371, 9371, 36*w - 23]', '[9391, 9391, -40*w - 27]', '[9391, 9391, 40*w - 67]', '[9397, 9397, -49*w + 114]', '[9397, 9397, 33*w - 148]', '[9403, 9403, 52*w - 127]', '[9403, 9403, -52*w - 75]', '[9409, 97, -97]', '[9419, 9419, 37*w - 41]', '[9419, 9419, -37*w - 4]', '[9421, 9421, 20*w - 121]', '[9421, 9421, -20*w - 101]', '[9431, 9431, -41*w - 32]', '[9431, 9431, 41*w - 73]', '[9461, 9461, -17*w - 99]', '[9461, 9461, 17*w - 116]', '[9463, 9463, 37*w - 40]', '[9463, 9463, -37*w - 3]', '[9467, 9467, -39*w - 20]', '[9467, 9467, 39*w - 59]', '[9479, 9479, -35*w - 118]', '[9479, 9479, 35*w - 153]', '[9511, 9511, -25*w - 106]', '[9511, 9511, 25*w - 131]', '[9521, 9521, 5*w - 101]', '[9521, 9521, -5*w - 96]', '[9547, 9547, -44*w - 45]', '[9547, 9547, 44*w - 89]', '[9619, 9619, 37*w - 36]', '[9619, 9619, 37*w - 1]', '[9623, 9623, -43*w - 40]', '[9623, 9623, 43*w - 83]', '[9629, 9629, 11*w - 108]', '[9629, 9629, -11*w - 97]', '[9661, 9661, 33*w - 149]', '[9661, 9661, 50*w - 117]', '[9677, 9677, 17*w - 117]', '[9677, 9677, -17*w - 100]', '[9679, 9679, 10*w - 107]', '[9679, 9679, -10*w - 97]', '[9719, 9719, -5*w - 97]', '[9719, 9719, 5*w - 102]', '[9721, 9721, 55*w + 83]', '[9721, 9721, 55*w - 138]', '[9739, 9739, 6*w - 103]', '[9739, 9739, -6*w - 97]', '[9743, 9743, 37*w - 32]', '[9743, 9743, 37*w - 5]', '[9749, 9749, -25*w - 107]', '[9749, 9749, 25*w - 132]', '[9767, 9767, 39*w - 55]', '[9767, 9767, -39*w - 16]', '[9769, 9769, 37*w - 6]', '[9769, 9769, 37*w - 31]', '[9803, 9803, 31*w - 145]', '[9803, 9803, 52*w - 125]', '[9811, 9811, 44*w - 87]', '[9811, 9811, -44*w - 43]', '[9851, 9851, 45*w - 92]', '[9851, 9851, -45*w - 47]', '[9859, 9859, 53*w - 129]', '[9859, 9859, -53*w - 76]', '[9883, 9883, 37*w - 12]', '[9883, 9883, 37*w - 25]', '[9923, 9923, 37*w - 17]', '[9923, 9923, 37*w - 20]', '[9931, 9931, 41*w - 68]', '[9931, 9931, -41*w - 27]', '[9941, 9941, 55*w - 137]', '[9941, 9941, -55*w - 82]', '[9967, 9967, 56*w - 141]', '[9967, 9967, 56*w + 85]']}
• 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': [-7, -1, 1], 'conductor': 29, 'degree': 2, 'dirichlet_group': [1, 28], 'disc_abs': 29, 'disc_rad': 29, 'disc_sign': 1, 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [0]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1], 'galois_label': '2T1', 'galt': 1, 'grd': 5.385164807134504, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.29.1', 'local_algs': ['29.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [29], 'rd': 5.38516480713, 'regulator': {'__RealLiteral__': 0, 'data': '1.64723114637', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a']}