Hilbert modular form data - 2.2.60.1-98.1-l

Formats: - HTML - YAML - JSON - 2024-05-03T00:19:13.112375

• 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': 60, 'field_bad_primes': [2, 3, 5], 'field_label': '2.2.60.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.60.1-98.1-l', 'label_nsuffix': 11, 'label_suffix': 'l', 'level_bad_primes': [2, 7], 'level_ideal': '[98, 14, 7*w + 7]', 'level_label': '98.1', 'level_norm': 98, 'parallel_weight': 2, 'short_label': '98.1-l', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w + 1]', -1], ['[7, 7, w + 1]', -1], ['[7, 7, w + 6]', -1]], 'hecke_eigenvalues': [1, -2, 0, 1, 1, 0, 0, -6, -6, 8, 8, -6, -6, 6, 6, 8, 8, -4, -4, 0, 0, -4, -4, 2, 2, -6, -6, -16, -16, -18, -18, -18, -18, -16, -16, -10, 12, 12, 12, 12, 20, 20, -24, -24, 18, 18, 8, 8, -4, -4, 6, 6, -24, -24, -10, -10, 18, 18, -18, -18, -22, -22, -24, -24, 2, 2, 24, 24, -6, -6, -28, -28, -18, -18, 24, 24, -34, 8, 8, 14, 14, -6, -6, -10, -10, -24, -24, 32, 32, 36, 36, -16, -16, 12, 12, 2, 2, -46, 38, 38, 8, 8, -6, -6, 6, 6, 24, 24, 26, 26, 32, 32, -6, -6, 14, 14, -18, -18, 24, 24, -40, -40, 12, 12, -46, -46, -12, -12, 44, 44, 14, 14, -24, -24, -22, -22, 12, 12, -40, -40, 56, 56, -12, -12, -22, 18, 18, 20, 20, 44, 44, -48, -48, 54, 54, -46, 32, 32, 6, 6, 6, 6, -34, -34, 36, 36, -36, -36, -4, -4, 0, 0, -16, -16, 8, 8, 8, 8, -30, -30, 6, 6, -46, -46, 50, 50, 12, 12, -66, -66, 14, 14, 6, 6, 26, 26, -18, -18, -24, -24, 8, 8, 24, 24, 62, 62, 32, 32, -70, 30, 30, -22, -22, 56, 56, 26, 26, -42, -42, -24, -24, -64, -64, 48, 48, -46, -46, -58, -58, -30, -30, 12, 12, 0, 0, 32, 32, -34, -34, -42, -42, 12, 12, -16, -16, -66, -66, 26, 26, 72, 72, 60, 60, 74, 74, -10, -10, 0, 0, 8, 8, 32, 32, -46, 42, 42, -4, -4, 6, 6, -76, -76, 56, 56, -16, -16, -10, -10, -34, -34, -42, -42, 8, 8, 50, 50, -48, -48, -78, -78, -54, -54, 30, 30, 60, 60, -30, -30, -82, -82, 78, 78, 32, 32, 0, 0, 32, 32, -70, -70, -30, -30, -48, -48, 56, 56, -54, -54, -34, -34, -46, -46, 50, 54, 54, -10, -10, 78, 78, 2, 2, -18, -18, -22, -22, 20, 20, 42, 42, 30, 30, 72, 72, 20, 20, 80, 80, 24, 24, 24, 24, -28, -28, 14, 14, -18, -18, 36, 36, -42, -42, -18, -18, -60, -60, 2, 2, -84, -84, -16, -16, 38, 38, -36, -36, 78, 78, -72, -72, -6, -6, 56, 56, -18, -18, 20, 20, 62, 62, 48, 48, -60, -60, -10, -10, -24, -24, -40, -40, 78, 78, 32, 32, 18, 18, 86, 86, 66, 66, -42, -42, 24, 24, 44, 44, -54, -54, -6, -6, 96, 96, -36, -36, -58, -58, -24, -24, -10, -10, -70, -70, -64, -64, -22, -22, 96, 96, 98, 98, -6, -6, -22, -22, -34, -34, -40, -40, -16, -16, -24, -24, -46, -46, 90, 90, -30, -30, -72, -72, -82, -82, 14, 14, -40, -40, 96, 96, -58, -58, 24, 24, 18, 18, -100, -100, 50, 50, -102, -102, 74, 74, -108, -108, -36, -36, -4, -4, -34, -34, 42, 42, -88, -88, -42, -42, 8, 8, 42, 42, -10, -10, -90, -90, 120, 120, 18, 18, -16, -16, -24, -24, -88, -88, -10, -10, -54, -54, 12, 12, -64, -64, -42, -42, -40, -40, -72, -72, 110, 110, 20, 20, -72, -72, 18, 18, 56, 56, -100, -100, -46, -46, 78, 78, -60, -60, 44, 44, -112, -112, -6, -6, -24, -24, 42, 42, -82, -82, -108, -108, 60, 60, -72, -72, -10, -10, 84, 84, 6, 6, 32, 32, 78, 78, 18, 18, -4, -4, 48, 48, -64, -64, -78, -78, 44, 44, 24, 24, -48, -48, -42, -42, -40, -40, -58, -58, -16, -16, -114, -114, 102, 102, 38, 38, -48, -48, -82, -82, 114, 114, 32, 32, -118, -118, -112, -112, -4, -4, -22, -22, 108, 108, -16, -16, -18, -18, -96, -96, 132, 132, 26, 26, 50, 50, -18, -18, 60, 60, 104, 104, -34, -34, 90, 90, 72, 72, -22, -22, -66, -66, 20, 20, 60, 60, -12, -12, 116, 116, 86, 86, -36, -36, 66, 66, -54, -54, 110, 110, 96, 96, -70, -70, -16, -16, 0, 0, 36, 36, 78, 78, 80, 80, 68, 68, -78, -78, -16, -16, 54, 54, -10, -10, 98, 98, 48, 48, 18, 18, -102, -102, -24, -24, -10, -10, -18, -18, 86, 86, -142, 120, 120, 2, 2, -84, -84, 54, 54, 24, 24, -28, -28, -54, -54, -100, -100, 14, 14, 48, 48, -12, -12, -40, -40, 0, 0, -130, -130, 56, 56, -60, -60, 38, 38, -10, -10, 78, 78, 110, 110, 84, 84, 8, 8, -120, -120, -82, -82, 32, 32, -12, -12, -114, -114, 50, 50, 2, 2, 54, 54, 32, 32, -132, -132, 120, 120, -52, -52, -46, -46, -24, -24, 62, 62, -58, -58, 20, 20, -84, -84, -58, -58, 18, 18, -124, -124, -6, -6, 32, 32, 6, 6, 104, 104, 108, 108, 38, 38, -78, -78, 2, 2, -66, -66, -10, -10, 108, 108, -18, -18, 20, 20, -94, 56, 56, 42, 42, -126, -126, 2, 2, 72, 72, 12, 12, 8, 8, 66, 66, 24, 24, 98, 98, 32, 32, -130, -130, 20, 20, 134, 134, -78, -78, -70, -70, 156, 156, 50, 50, 140, 140, 72, 72, -24, -24, -52, -52, 72, 72, 60, 60, 2, 2, 8, 8, -4, -4, -96, -96, 42, 42, -112, -112, 54, 54, 32, 32, 120, 120, 56, 56, -10, -10, -138, -138, -34, -34, -42, -42, 80, 80, -130, -120, -120, -58, -58, -48, -48, 30, 30, -160, -160, -48, -48, -58, -58, 56, 56, -42, -42, -78, -78, -84, -84, 114, 114, -154, -154, 32, 32, 72, 72, -70, -70, 24, 24, 90, 90, 152, 152, -12, -12, 62, 62, -90, -90, -106, -106, 158, 158, 36, 36, -10, -10, -54, -54, 102, 102, -90, -90, 74, 74, 120, 120, 74, 74, 60, 60, -100, -100, 144, 144, 146, 146, 30, 30, 44, 44, 8, 8, -70, -70, 138, 138, -130, -130, 128, 128, 162, 162, -124, -124, -124, -124, 126, 126, 68, 68, -66, -66, -18, -18, 120, 120, 110, 110, -6, -6, 24, 24, -142, -28, -28, -126, -126, -100, -100, 108, 108, -46, -46, -138, -138, -70, -70, 84, 84, -6, -6, 170, 170, -76, -76, 24, 24, 146, 146, 24, 24, -112, -112, -60, -60, 84, 84, -88, -88, -46, -46, 6, 6, 44, 44, 126, 126, 150, 150, 14, 14, 56, 56, 164, 164, -88, -88, -172, -172, -126, -126, -10, -10, 104, 104, -30, -30, -76, -76, 72, 72, -4, -4, -138, -138, -124, -124, 44, 44, 38, 38, 8, 8, 122, 122, 144, 144, 18, 18, -22, -22, 42, 42, -22, -22, -124, -124, -54, -54, 74, 74, -144, -144, 12, 12, -136, -136, 32, 32, 122, 122, -34, -34, 30, 30, 122, 122, 108, 108, -168, -168, -70, -70, -64, -64, -132, -132, -118, -118, 158, 158, -24, -24, -40, -40, 68, 68, -70, -70, -124, -124, 66, 66, -108, -108, -34, -34, -10, -10, 48, 48, 170, 170, 186, 186, 32, 32, -102, -102, 192, 192, 92, 92, -46, -46, 30, 30, -114, -114, -136, -136, -94, 132, 132, 60, 60, -28, -28, -48, -48, -78, -78, -40, -40, 126, 126, 24, 24, -78, -78, -150, -150, -48, -48, 78, 78, -10, -10, -180, -180, 62, 62, 32, 32, 146, 146, 86, 86, -108, -108, -24, -24, 2, 2, -58, -58, -46, -46, -148, -148, -12, -12, 110, 110, -126, -126, 72, 72, 0, 0, -138, -138, 146, 146, 164, 164, -28, -28, -22, -22, 32, 32], 'hecke_polynomial': 'x', 'label': '2.2.60.1-98.1-l'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 60, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[3, 3, w]', '[4, 2, 2]', '[5, 5, w]', '[6, 6, -w + 3]', '[7, 7, w + 1]', '[7, 7, w + 6]', '[8, 4, 2*w + 2]', '[9, 3, 3]', '[10, 10, w - 5]', '[11, 11, -w - 2]', '[11, 11, w - 2]', '[12, 6, 2*w]', '[14, 14, w + 1]', '[14, 14, w - 1]', '[15, 15, w]', '[16, 4, 4]', '[17, 17, w + 7]', '[17, 17, w + 10]', '[18, 6, 3*w + 3]', '[20, 10, 2*w]', '[21, 21, -w - 6]', '[21, 21, w - 6]', '[22, 22, w + 9]', '[22, 22, w + 13]', '[24, 12, -2*w + 6]', '[25, 5, 5]', '[27, 9, 3*w]', '[28, 14, 2*w + 2]', '[28, 14, 2*w + 12]', '[30, 30, w + 15]', '[32, 8, 4*w + 4]', '[33, 33, w + 9]', '[33, 33, w + 24]', '[34, 34, w + 7]', '[34, 34, w - 7]', '[35, 35, -2*w + 5]', '[35, 35, -2*w - 5]', '[36, 6, 6]', '[40, 20, 2*w - 10]', '[42, 42, w + 15]', '[42, 42, w + 27]', '[43, 43, w + 12]', '[43, 43, w + 31]', '[44, 22, -2*w - 4]', '[44, 22, 2*w - 4]', '[45, 15, 3*w]', '[48, 12, 4*w]', '[49, 7, 7]', '[49, 49, w + 8]', '[49, 49, -w + 8]', '[50, 10, 5*w + 5]', '[51, 51, -2*w + 3]', '[51, 51, 2*w + 3]', '[53, 53, w + 11]', '[53, 53, w + 42]', '[54, 18, -3*w + 9]', '[55, 55, w + 20]', '[55, 55, w + 35]', '[56, 28, 2*w + 2]', '[56, 28, 2*w - 2]', '[59, 59, 2*w - 1]', '[59, 59, -2*w - 1]', '[60, 30, 2*w]', '[61, 61, 2*w - 11]', '[61, 61, -2*w - 11]', '[63, 21, 3*w + 3]', '[63, 21, 3*w + 18]', '[64, 8, 8]', '[66, 66, -w - 9]', '[66, 66, -w + 9]', '[67, 67, w + 22]', '[67, 67, w + 45]', '[68, 34, 2*w + 14]', '[68, 34, 2*w + 20]', '[70, 70, w + 15]', '[70, 70, w + 55]', '[71, 71, 3*w - 8]', '[71, 71, -3*w - 8]', '[72, 12, 6*w + 6]', '[75, 15, 5*w]', '[77, 77, w + 13]', '[77, 77, w + 20]', '[77, 77, w + 57]', '[77, 77, w + 64]', '[80, 20, 4*w]', '[81, 9, 9]', '[84, 42, -2*w - 12]', '[84, 42, 2*w - 12]', '[85, 85, w + 10]', '[85, 85, w - 10]', '[86, 86, -5*w + 17]', '[86, 86, 3*w - 7]', '[88, 44, 2*w + 18]', '[88, 44, 2*w + 26]', '[90, 30, 3*w - 15]', '[96, 24, -4*w + 12]', '[98, 14, 7*w + 7]', '[98, 98, w + 41]', '[98, 98, w + 57]', '[99, 33, -3*w - 6]', '[99, 33, 3*w - 6]', '[100, 10, 10]', '[102, 102, w + 27]', '[102, 102, w + 75]', '[103, 103, w + 18]', '[103, 103, w + 85]', '[105, 105, w + 15]', '[105, 105, w + 90]', '[106, 106, -w - 11]', '[106, 106, w - 11]', '[108, 18, 6*w]', '[109, 109, 2*w - 13]', '[109, 109, -2*w - 13]', '[110, 110, 3*w - 5]', '[110, 110, -3*w - 5]', '[112, 28, 4*w + 4]', '[112, 28, 4*w + 24]', '[113, 113, w + 44]', '[113, 113, w + 69]', '[118, 118, w + 29]', '[118, 118, w + 89]', '[119, 119, -4*w + 11]', '[119, 119, 3*w + 4]', '[119, 119, -3*w + 4]', '[119, 119, 4*w + 11]', '[120, 60, 2*w + 30]', '[121, 11, 11]', '[121, 121, -3*w + 16]', '[121, 121, 3*w + 16]', '[122, 122, w + 25]', '[122, 122, w + 97]', '[125, 25, 5*w]', '[126, 42, 3*w + 3]', '[126, 42, 3*w - 3]', '[127, 127, w + 53]', '[127, 127, w + 74]', '[128, 16, 8*w + 8]', '[129, 129, -w - 12]', '[129, 129, -w + 12]', '[131, 131, 3*w - 2]', '[131, 131, -3*w - 2]', '[132, 66, 2*w + 18]', '[132, 66, 2*w + 48]', '[134, 134, -3*w - 1]', '[134, 134, 3*w - 1]', '[135, 45, 3*w]', '[136, 68, 2*w + 14]', '[136, 68, 2*w - 14]', '[137, 137, w + 17]', '[137, 137, w + 120]', '[140, 70, -4*w + 10]', '[140, 70, -4*w - 10]', '[142, 142, w + 21]', '[142, 142, w + 121]', '[144, 12, 12]', '[147, 21, 7*w]', '[147, 147, w + 57]', '[147, 147, w + 90]', '[150, 30, -5*w + 15]', '[153, 51, 3*w + 21]', '[153, 51, 3*w + 30]', '[154, 154, -w - 13]', '[154, 154, -3*w - 17]', '[154, 154, -3*w + 17]', '[154, 154, -w + 13]', '[159, 159, 7*w - 24]', '[159, 159, 4*w - 9]', '[160, 40, 4*w - 20]', '[162, 18, 9*w + 9]', '[163, 163, w + 34]', '[163, 163, w + 129]', '[165, 165, -2*w + 15]', '[165, 165, -2*w - 15]', '[168, 84, 2*w + 30]', '[168, 84, 2*w + 54]', '[169, 13, -13]', '[170, 170, w + 75]', '[170, 170, w + 95]', '[172, 86, 2*w + 24]', '[172, 86, 2*w + 62]', '[173, 173, w + 19]', '[173, 173, w + 154]', '[175, 35, 5*w + 5]', '[175, 35, 5*w + 30]', '[176, 44, -4*w - 8]', '[176, 44, 4*w - 8]', '[177, 177, w + 30]', '[177, 177, w + 147]', '[179, 179, 5*w - 14]', '[179, 179, -5*w - 14]', '[180, 30, 6*w]', '[181, 181, -w - 14]', '[181, 181, w - 14]', '[183, 183, w + 36]', '[183, 183, w + 147]', '[187, 187, w + 24]', '[187, 187, w + 75]', '[187, 187, w + 112]', '[187, 187, w + 163]', '[189, 63, -3*w - 18]', '[189, 63, 3*w - 18]', '[191, 191, 4*w - 7]', '[191, 191, -4*w - 7]', '[192, 24, 8*w]', '[196, 14, 14]', '[196, 98, 2*w + 16]', '[196, 98, -2*w + 16]', '[197, 197, w + 58]', '[197, 197, w + 139]', '[198, 66, 3*w + 27]', '[198, 66, 3*w + 39]', '[200, 20, 10*w + 10]', '[201, 201, -4*w + 21]', '[201, 201, 5*w - 24]', '[204, 102, -4*w + 6]', '[204, 102, 4*w + 6]', '[206, 206, 7*w - 23]', '[206, 206, 5*w - 13]', '[210, 210, w + 15]', '[210, 210, -w + 15]', '[212, 106, 2*w + 22]', '[212, 106, 2*w + 84]', '[213, 213, w + 21]', '[213, 213, w + 192]', '[215, 215, -4*w - 5]', '[215, 215, 4*w - 5]', '[216, 36, -6*w + 18]', '[218, 218, w + 61]', '[218, 218, w + 157]', '[220, 110, 2*w + 40]', '[220, 110, 2*w + 70]', '[223, 223, w + 98]', '[223, 223, w + 125]', '[224, 56, 4*w + 4]', '[224, 56, 4*w - 4]', '[225, 15, 15]', '[226, 226, -3*w + 19]', '[226, 226, -7*w + 31]', '[229, 229, 2*w - 17]', '[229, 229, -2*w - 17]', '[231, 231, 4*w - 3]', '[231, 231, 5*w - 12]', '[231, 231, -5*w - 12]', '[231, 231, -4*w - 3]', '[233, 233, w + 99]', '[233, 233, w + 134]', '[236, 118, 4*w - 2]', '[236, 118, -4*w - 2]', '[238, 238, w + 27]', '[238, 238, w + 41]', '[238, 238, w + 197]', '[238, 238, w + 211]', '[239, 239, -4*w - 1]', '[239, 239, 4*w - 1]', '[240, 60, 4*w]', '[241, 241, -w - 16]', '[241, 241, w - 16]', '[242, 22, 11*w + 11]', '[242, 242, w + 35]', '[242, 242, w + 207]', '[243, 27, 9*w]', '[244, 122, 4*w - 22]', '[244, 122, -4*w - 22]', '[245, 35, 7*w]', '[245, 245, w + 90]', '[245, 245, w + 155]', '[250, 50, 5*w - 25]', '[251, 251, 6*w - 17]', '[251, 251, -6*w - 17]', '[252, 42, 6*w + 6]', '[252, 42, 6*w + 36]', '[254, 254, 9*w - 31]', '[254, 254, -5*w + 11]', '[255, 255, w + 75]', '[255, 255, w + 180]', '[256, 16, 16]', '[257, 257, w + 23]', '[257, 257, w + 234]', '[258, 258, w + 117]', '[258, 258, w + 141]', '[262, 262, w + 43]', '[262, 262, w + 219]', '[264, 132, -2*w - 18]', '[264, 132, -2*w + 18]', '[265, 265, -8*w + 35]', '[265, 265, -3*w + 20]', '[268, 134, 2*w + 44]', '[268, 134, 2*w + 90]', '[270, 90, 3*w + 45]', '[272, 68, 4*w + 28]', '[272, 68, 4*w + 40]', '[274, 274, -w - 17]', '[274, 274, w - 17]', '[275, 55, -5*w - 10]', '[275, 55, 5*w - 10]', '[280, 140, 2*w + 30]', '[280, 140, 2*w + 110]', '[283, 283, w + 79]', '[283, 283, w + 204]', '[284, 142, 6*w - 16]', '[284, 142, -6*w - 16]', '[288, 24, 12*w + 12]', '[289, 17, 17]', '[289, 289, 4*w + 23]', '[289, 289, -4*w + 23]', '[293, 293, w + 111]', '[293, 293, w + 182]', '[294, 42, -7*w + 21]', '[294, 294, -5*w + 9]', '[294, 294, -5*w - 9]', '[295, 295, w + 30]', '[295, 295, w + 265]', '[297, 99, 3*w + 27]', '[297, 99, 3*w + 72]', '[300, 30, 10*w]', '[301, 301, 6*w + 29]', '[301, 301, -2*w + 19]', '[301, 301, -2*w - 19]', '[301, 301, 6*w - 29]', '[305, 305, w + 25]', '[305, 305, w + 280]', '[306, 102, 3*w + 21]', '[306, 102, 3*w - 21]', '[307, 307, w + 130]', '[307, 307, w + 177]', '[308, 154, 2*w + 26]', '[308, 154, 2*w + 40]', '[308, 154, 2*w + 114]', '[308, 154, 2*w + 128]', '[309, 309, -w - 18]', '[309, 309, w - 18]', '[311, 311, -5*w - 8]', '[311, 311, 5*w - 8]', '[315, 105, -6*w + 15]', '[315, 105, -6*w - 15]', '[317, 317, w + 40]', '[317, 317, w + 277]', '[318, 318, w + 117]', '[318, 318, w + 201]', '[320, 40, 8*w]', '[324, 18, 18]', '[326, 326, 5*w - 7]', '[326, 326, -5*w - 7]', '[327, 327, w + 48]', '[327, 327, w + 279]', '[330, 330, w + 75]', '[330, 330, w + 255]', '[335, 335, 7*w - 20]', '[335, 335, -8*w + 25]', '[336, 84, -4*w - 24]', '[336, 84, 4*w - 24]', '[338, 26, 13*w + 13]', '[339, 339, -5*w - 6]', '[339, 339, -5*w + 6]', '[340, 170, 2*w + 20]', '[340, 170, 2*w - 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134]', '[8581, 8581, 25*w - 134]', '[8597, 8597, w + 1369]', '[8597, 8597, w + 7228]', '[8623, 8623, w + 1757]', '[8623, 8623, w + 6866]', '[8629, 8629, -26*w - 137]', '[8629, 8629, 26*w - 137]', '[8641, 8641, 20*w - 121]', '[8641, 8641, -20*w - 121]', '[8647, 8647, w + 2533]', '[8647, 8647, w + 6114]', '[8689, 8689, -28*w - 143]', '[8689, 8689, 28*w - 143]', '[8693, 8693, w + 923]', '[8693, 8693, w + 7770]', '[8699, 8699, -25*w - 26]', '[8699, 8699, 25*w - 26]', '[8707, 8707, w + 4230]', '[8707, 8707, w + 4477]', '[8753, 8753, w + 3966]', '[8753, 8753, w + 4787]', '[8761, 8761, 21*w - 124]', '[8761, 8761, -21*w - 124]', '[8803, 8803, w + 785]', '[8803, 8803, w + 8018]', '[8819, 8819, -27*w - 46]', '[8819, 8819, 27*w - 46]', '[8821, 8821, -w - 94]', '[8821, 8821, w - 94]', '[8831, 8831, -36*w - 103]', '[8831, 8831, 36*w - 103]', '[8837, 8837, w + 133]', '[8837, 8837, w + 8704]', '[8863, 8863, w + 3355]', '[8863, 8863, w + 5508]', '[8887, 8887, w + 3872]', '[8887, 8887, w + 5015]', '[8923, 8923, w + 1529]', '[8923, 8923, w + 7394]', '[8929, 8929, 16*w - 113]', '[8929, 8929, -16*w - 113]', '[8933, 8933, w + 4195]', '[8933, 8933, w + 4738]', '[8941, 8941, -14*w - 109]', '[8941, 8941, 14*w - 109]', '[8951, 8951, -28*w - 53]', '[8951, 8951, 28*w - 53]', '[8999, 8999, -27*w - 44]', '[8999, 8999, 27*w - 44]', '[9001, 9001, -11*w - 104]', '[9001, 9001, 11*w - 104]', '[9007, 9007, w + 3346]', '[9007, 9007, w + 5661]', '[9011, 9011, -30*w - 67]', '[9011, 9011, 30*w - 67]', '[9043, 9043, w + 1033]', '[9043, 9043, w + 8010]', '[9049, 9049, -24*w - 133]', '[9049, 9049, 24*w - 133]', '[9059, 9059, -34*w - 91]', '[9059, 9059, 34*w - 91]', '[9067, 9067, w + 1469]', '[9067, 9067, w + 7598]', '[9103, 9103, w + 4161]', '[9103, 9103, w + 4942]', '[9109, 9109, -10*w - 103]', '[9109, 9109, 10*w - 103]', '[9127, 9127, w + 782]', '[9127, 9127, w + 8345]', '[9137, 9137, w + 1487]', '[9137, 9137, w + 7650]', '[9173, 9173, w + 3545]', '[9173, 9173, w + 5628]', '[9181, 9181, 26*w - 139]', '[9181, 9181, -26*w - 139]', '[9187, 9187, w + 525]', '[9187, 9187, w + 8662]', '[9239, 9239, -36*w - 101]', '[9239, 9239, 36*w - 101]', '[9241, 9241, -8*w - 101]', '[9241, 9241, 8*w - 101]', '[9257, 9257, w + 2215]', '[9257, 9257, w + 7042]', '[9283, 9283, w + 1823]', '[9283, 9283, w + 7460]', '[9293, 9293, w + 2675]', '[9293, 9293, w + 6618]', '[9311, 9311, 25*w - 8]', '[9311, 9311, -25*w - 8]', '[9343, 9343, w + 3029]', '[9343, 9343, w + 6314]', '[9349, 9349, 2*w - 97]', '[9349, 9349, -2*w - 97]', '[9371, 9371, 25*w - 2]', '[9371, 9371, -25*w - 2]', '[9377, 9377, w + 137]', '[9377, 9377, w + 9240]', '[9403, 9403, w + 168]', '[9403, 9403, w + 9235]', '[9409, 97, -97]', '[9413, 9413, w + 1265]', '[9413, 9413, w + 8148]', '[9419, 9419, -34*w - 89]', '[9419, 9419, 34*w - 89]', '[9421, 9421, -11*w - 106]', '[9421, 9421, 11*w - 106]', '[9431, 9431, -32*w - 77]', '[9431, 9431, 32*w - 77]', '[9437, 9437, w + 1073]', '[9437, 9437, w + 8364]', '[9463, 9463, w + 3367]', '[9463, 9463, w + 6096]', '[9473, 9473, w + 3817]', '[9473, 9473, w + 5656]', '[9479, 9479, -29*w - 56]', '[9479, 9479, 29*w - 56]', '[9491, 9491, -27*w - 38]', '[9491, 9491, 27*w - 38]', '[9497, 9497, w + 3511]', '[9497, 9497, w + 5986]', '[9533, 9533, w + 4117]', '[9533, 9533, w + 5416]', '[9539, 9539, 35*w - 94]', '[9539, 9539, -35*w - 94]', '[9547, 9547, w + 1712]', '[9547, 9547, w + 7835]', '[9551, 9551, -28*w - 47]', '[9551, 9551, 28*w - 47]', '[9601, 9601, 9*w - 104]', '[9601, 9601, -9*w - 104]', '[9643, 9643, w + 3765]', '[9643, 9643, w + 5878]', '[9649, 9649, -8*w - 103]', '[9649, 9649, 8*w - 103]', '[9661, 9661, -6*w - 101]', '[9661, 9661, 6*w - 101]', '[9677, 9677, w + 220]', '[9677, 9677, w + 9457]', '[9719, 9719, 37*w - 104]', '[9719, 9719, -37*w - 104]', '[9721, 9721, 12*w - 109]', '[9721, 9721, -12*w - 109]', '[9769, 9769, -21*w - 128]', '[9769, 9769, 21*w - 128]', '[9781, 9781, 18*w - 121]', '[9781, 9781, -18*w - 121]', '[9787, 9787, w + 3175]', '[9787, 9787, w + 6612]', '[9791, 9791, 31*w - 68]', '[9791, 9791, -31*w - 68]', '[9829, 9829, 14*w - 113]', '[9829, 9829, -14*w - 113]', '[9833, 9833, w + 3037]', '[9833, 9833, w + 6796]', '[9839, 9839, 40*w - 119]', '[9839, 9839, -40*w - 119]', '[9851, 9851, 26*w - 17]', '[9851, 9851, -26*w - 17]', '[9857, 9857, w + 4204]', '[9857, 9857, w + 5653]', '[9883, 9883, w + 3077]', '[9883, 9883, w + 6806]', '[9901, 9901, -22*w - 131]', '[9901, 9901, 22*w - 131]', '[9907, 9907, w + 3458]', '[9907, 9907, w + 6449]', '[9949, 9949, 10*w - 107]', '[9949, 9949, -10*w - 107]', '[9967, 9967, w + 3952]', '[9967, 9967, w + 6015]']}
• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-15, 0, 1], 'conductor': 60, 'degree': 2, 'dirichlet_group': [1, 59], 'disc_abs': 60, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 7.745966692414834, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.60.1', 'local_algs': ['2.2.2.1', '3.2.1.2', '5.2.1.2'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 5], 'rd': 7.74596669241, 'regulator': {'__RealLiteral__': 0, 'data': '2.0634370689', 'prec': 40}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 4 \\)'], 'used_grh': False, 'zk': ['1', 'a']}