Hilbert modular form data - 2.2.40.1-72.1-c

Formats: - HTML - YAML - JSON - 2026-01-27T01:51:02.054838

• 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': 40, 'field_bad_primes': [2, 5], 'field_label': '2.2.40.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.40.1-72.1-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [2, 3], 'level_ideal': '[72, 12, 6*w]', 'level_label': '72.1', 'level_norm': 72, 'parallel_weight': 2, 'short_label': '72.1-c', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', -1], ['[3, 3, w + 1]', 1], ['[3, 3, w + 2]', -1]], 'hecke_eigenvalues': [0, -1, 1, 2, 2, 2, 0, 0, 2, 2, -6, 10, -4, 4, 2, 10, -6, 12, 4, -8, -8, -16, 0, 12, 4, -6, 10, -12, -4, 10, 8, -8, 10, 10, 4, 12, -6, -6, -16, 0, 10, -6, -24, 8, 4, 12, -16, 0, -14, -14, -16, 32, -14, -14, 26, -6, 12, 4, 2, 18, -14, -20, 20, -8, 24, -14, -30, -20, -12, -8, 8, 10, -30, 34, 34, 2, 18, 34, 10, -22, -32, -32, 8, 40, -20, 36, -30, 2, -28, -4, 0, 16, 10, -22, 28, 20, -14, -20, -12, -38, -38, -4, -28, 42, -6, 36, 12, -24, 24, -38, 26, -38, -6, 8, -24, 2, 2, 12, 36, -14, 2, -38, -22, -4, 4, 0, 0, -6, -6, -32, 0, 34, 34, -6, -6, -46, 18, 10, -6, -28, 12, 34, -46, 42, -22, -4, 36, -40, -24, -22, 10, -22, -38, 26, 18, -30, -28, -20, -12, -52, -32, 0, 24, -24, -30, -30, -36, -12, 0, -16, -22, 10, 50, -46, 42, -38, 8, 24, 48, 64, 58, -22, -6, 58, -38, 26, -12, -4, 42, 10, 0, 48, -60, 12, -52, -12, 50, -14, 34, -30, 64, 0, 10, -54, -30, 34, -54, 10, -64, 16, 20, 12, -54, -6, -4, 36, 24, -72, 10, 10, -14, -30, 18, 34, 72, 40, -30, -46, -52, 52, 16, -48, 50, -14, -16, 64, 74, 10, 52, 60, -46, 18, 58, -22, 72, -56, 36, -36, -40, 24, 2, -62, 66, -62, 10, 10, -54, 42, 44, 68, 2, -62, 4, -20, 42, -22, -54, -6, -12, -36, -14, -46, -68, 68, 64, 48, -52, 20, 10, 10, -40, 40, 4, 28, -32, 48, -6, -22, -8, -8, 50, -30, -12, -52, 42, 42, -16, -48, 66, -30, 52, 12, -6, -6, 64, -32, 12, 36, -44, 28, -40, 56, 50, -78, -30, -78, 44, 52, 10, -22, 0, -16, 34, -46, 50, -14, 12, -44, -30, 10, 90, 90, -6, 0, 80, 36, 76, -76, 28, 42, -86, -62, 66, -40, -88, -54, 10, 44, 84, -64, -48, 90, 42, 48, 16, -38, -70, 10, 58, 28, 20, 2, 82, 42, -22, 8, -8, -14, -78, -64, 0, 50, -78, -32, 32, -14, 50, -60, 92, 98, -62, -46, 50, -4, -44, -72, -88, 16, 80, 42, -22, -24, 72, -46, 18, 98, 50, 4, 44, 66, -30, 60, 36, 16, -80, -22, 74, -70, -6, -36, -12, -6, 26, 8, 24, -70, 58, 18, 50, 34, -30, -54, 106, -84, 68, 72, -40, 36, 44, -46, -46, -80, 32, -14, -78, -68, 68, -30, 34, 92, -44, -24, 72, 84, 76, 58, 42, 66, 2, -72, -72, -28, 60, 8, -40, -28, 76, -78, -30, 36, -20, 80, 16, 50, 82, 26, -38, 80, 48, 34, 66, -6, -6, -52, -12, 10, 56, -40, -110, -78, -86, 42, 2, 114, 52, 28, -54, 90, -72, 88, -62, 34, -64, -80, 34, 98, 12, -44, 24, 72, -38, 58, 72, -40, 10, 74, 10, 34, 114, 90, 26, 82, 82, -36, 36, 106, -22, -62, 2, 42, 74, -110, -110, -20, 116, -8, -56, -22, -54, 48, -16, 4, 12, -102, 90, -84, 68, 66, -94, 36, 92, 66, 18, 20, -68, 82, -78, 16, -32, -46, -46, 32, -112, 34, -94, -6, -54, -54, 10, 16, 16, 122, 90, -88, 8, 18, -46, -4, -28, 106, 42, 16, -96, -92, 44, 34, 66, 74, 42, -76, 76, 10, 90, 24, -72, -54, 42, -6, -70, 90, -38, -14, 34, -20, 132, 106, -54, -84, -124, 122, 42, 40, -8, 108, -124, -52, 52, -30, 34, 0, 16, 106, 10, 76, 68, 34, 82, -64, -64, 36, -116, 10, -86, -104, 8, 66, 50, 28, -28, 122, 58, -86, 42, -48, 80, 56, 8, 84, 28, -80, 32, -46, 18, -62, -30, 32, 80, 104, 72, 82, 34, 90, 42, 8, -72, -14, -78, 24, -8, -30, 98, 122, -134, -30, -110, -12, 76, -24, -40, 20, 28, -126, 82, -128, 112, 106, 10, -70, -22, 44, 100, -96, 64, 52, 12, -14, -46, -86, -22, 12, -140, -96, 128, -30, 66, 80, 0, 18, -110, -44, -20, -110, 26, 74, 52, 12, 88, 88, 52, -84, -72, -24, 130, 130, 104, -40, 98, 34, -14, -30, 84, -68, 74, 10, 0, -48, -78, -110, 56, -8, 84, -20, 12, -92, 16, 96, 18, 146, -54, -118, -44, -84, 98, -62, -126, 130, 120, 24, 40, 104, -38, -6, 50, -142, -60, 28, -54, 106, -54, -54, 96, 80, -94, 130, 144, -80, -22, 122, 98, 2, -68, 52, 16, -112, 92, 36, 90, -6, -36, 68, -88, 40, 26, 90, -132, 4, 60, -92, -6, -102, 44, 84, -30, 34, -108, 124, 112, -16, -54, -22, 138, 74, -22, 74, 120, -120, -124, -20, -94, -14, -6, -150, -88, 24, 12, -44, -32, -64, 18, -46, 8, 24, -70, 58, 44, 84, 106, -102, 104, -56, -6, 90, 66, -62, -70, 58, -108, -36, 34, -78, -46, -110, 58, 74, -94, -94, -132, -140, -56, 72, 116, 60, 106, 106, 24, -120, 42, -86, 66, -46, 72, -88, -30, -14, 32, -80, -110, -46, 106, -102, -116, 4, 72, 24, -44, -36, -36, 132, 122, 26, -152, -120, 52, -84, -132, 52, -80, 128, -134, 74, 84, -116, -96, 128, 66, -30, -64, -64, 18, 18, 90, 42, 18, 50, 92, 100, -96, -32, 36, -84, 8, -40, 18, 34, -6, -70, -144, 48, 8, -104, 28, -76, -134, -70, 58, -70, -156, -52, -14, 114, 140, 36, -52, -44, -70, -70, 154, 26, 136, -104, -118, 10, 58, 122, 58, 90, 66, 98, -108, 44, 122, 90, -12, -52, 42, 170, 36, 108, -40, -72, -22, 74, -54, 74, 24, -88, 164, 44, 56, 56, 44, -44, 2, 82, -62, 130, -46, -46, -84, 36, -126, -110, -112, -128, -30, -62, 146, -126, 44, -140, -150, -6, 40, -152, -132, 20, 92, -60, 128, 64, 130, -30, 16, 112, 4, -116, 42, -54, 152, 24, -78, 50, 178, -110, -22, -150, 66, -14, -112, -48, 114, 114, -4, 4, 20, -148, 130, -126, -80, -32, 114, -142, 40, -40, -38, 90, -116, -12, 74, -86, 40, 56, 26, -38, 74, -118, -76, 12, -14, -174, -132, -28, -80, -96, 124, 20, 100, -132, 26, 26, -164, -76, 18, -94, -110, 18, -104, -120, 146, 66, -68, -76, 98, 34, 34, -30, 106, -54, -110, 114, -126, 162, 156, -12, -16, -80, -4, 36, 122, 58, -164, -12, 0, -80, -118, 122, -120, 56, 82, 34, -28, 28, 90, 90, -100, -188, 34, -94, 106, -6, -168, -8, 84, -36, -22, 90, 24, 40, 122, 90, -118, 74, -142, 18, -116, -28, 10, 42, 132, -132, 2, -62, 48, -112, 74, -22, 58, -54, -94, 66, 36, 44, 128, -128, -36, 20, -166, -134, -52, -108, 88, 152, 154, 154, -86, 106, -174, 34, -124, -180, -54, -86, 112, -160, -136, -56, -36, 132, -64, 0, -30, 98, -28, -116, 2, 66, 130, -168, -88, 58, -102, -80, -32, -108, -164, 104, -24, 152, 152, -110, -78, -102, -6, -68, -44, 0, -48, 92, 100, -142, 114, 90, 154, -160, -112, 60, 116, -110, -142, -174, 66, 0, -64, 58, 90, -136, 24, -6, -6, -150, 74, -70, 26, 92, -124, 96, 96, 4, -148, 96, -32, -160, -64, 140, -76, 20, -36, -124, -84, -54, 42, -14, 50], 'hecke_polynomial': 'x', 'label': '2.2.40.1-72.1-c'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 40, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[4, 2, 2]', '[5, 5, w]', '[6, 6, -w - 2]', '[6, 6, -w + 2]', '[8, 4, 2*w]', '[9, 3, 3]', '[9, 9, -w - 1]', '[9, 9, -w + 1]', '[10, 10, w]', '[12, 6, 2*w + 2]', '[12, 6, 2*w + 4]', '[13, 13, w + 6]', '[13, 13, w + 7]', '[15, 15, -w - 5]', '[15, 15, w - 5]', '[16, 4, 4]', '[18, 6, 3*w]', '[18, 18, w + 8]', '[18, 18, w + 10]', '[20, 10, 2*w]', '[24, 12, -2*w - 4]', '[24, 12, -2*w + 4]', '[25, 5, 5]', '[26, 26, -w - 6]', '[26, 26, -w + 6]', '[27, 9, 3*w + 3]', '[27, 9, 3*w + 6]', '[27, 27, w + 8]', '[27, 27, w + 19]', '[30, 30, w + 10]', '[30, 30, w + 20]', '[31, 31, -2*w + 3]', '[31, 31, 2*w + 3]', '[32, 8, 4*w]', '[36, 6, 6]', '[36, 18, -2*w - 2]', '[36, 18, -2*w + 2]', '[37, 37, w + 11]', '[37, 37, w + 26]', '[39, 39, w + 7]', '[39, 39, 2*w - 1]', '[39, 39, -2*w - 1]', '[39, 39, w - 7]', '[40, 20, 2*w]', '[41, 41, 3*w + 7]', '[41, 41, -3*w + 7]', '[43, 43, w + 15]', '[43, 43, w + 28]', '[45, 15, 3*w]', '[45, 45, w + 10]', '[45, 45, w + 35]', '[48, 12, 4*w + 4]', '[48, 12, 4*w + 8]', '[49, 7, -7]', '[50, 10, 5*w]', '[52, 26, 2*w + 12]', '[52, 26, 2*w + 14]', '[53, 53, w + 13]', '[53, 53, w + 40]', '[54, 18, -3*w - 6]', '[54, 18, -3*w + 6]', '[54, 54, w + 8]', '[54, 54, -w + 8]', '[60, 30, -2*w - 10]', '[60, 30, 2*w - 10]', '[62, 62, w + 14]', '[62, 62, w + 48]', '[64, 8, 8]', '[65, 65, 3*w - 5]', '[65, 65, -3*w - 5]', '[67, 67, w + 12]', '[67, 67, w + 55]', '[71, 71, -w - 9]', '[71, 71, w - 9]', '[72, 12, 6*w]', '[72, 36, 2*w + 16]', '[72, 36, 2*w + 20]', '[74, 74, 3*w + 4]', '[74, 74, 3*w - 4]', '[75, 15, 5*w + 5]', '[75, 15, 5*w + 10]', '[78, 78, w + 20]', '[78, 78, w + 32]', '[78, 78, w + 46]', '[78, 78, w + 58]', '[79, 79, -4*w - 9]', '[79, 79, 4*w - 9]', '[80, 20, 4*w]', '[81, 9, 9]', '[81, 27, -3*w - 3]', '[81, 27, -3*w + 3]', '[81, 81, -2*w + 11]', '[81, 81, 2*w + 11]', '[82, 82, w + 16]', '[82, 82, w + 66]', '[83, 83, w + 33]', '[83, 83, w + 50]', '[86, 86, 3*w - 2]', '[86, 86, -3*w - 2]', '[89, 89, -3*w - 1]', '[89, 89, 3*w - 1]', '[90, 30, 3*w]', '[90, 90, -w - 10]', '[90, 90, w - 10]', '[93, 93, w + 14]', '[93, 93, w + 17]', '[93, 93, w + 76]', '[93, 93, w + 79]', '[96, 24, -4*w - 8]', '[96, 24, -4*w + 8]', '[98, 14, 7*w]', '[100, 10, 10]', '[104, 52, -2*w - 12]', '[104, 52, -2*w + 12]', '[106, 106, 5*w - 12]', '[106, 106, 5*w + 12]', '[107, 107, w + 44]', '[107, 107, w + 63]', '[108, 18, 6*w + 6]', '[108, 18, 6*w + 12]', '[108, 54, 2*w + 16]', '[108, 54, 2*w + 38]', '[111, 111, -w - 11]', '[111, 111, 4*w - 7]', '[111, 111, 4*w + 7]', '[111, 111, w - 11]', '[117, 39, 3*w + 18]', '[117, 39, 3*w + 21]', '[117, 117, w + 19]', '[117, 117, w + 46]', '[117, 117, w + 71]', '[117, 117, w + 98]', '[120, 60, 2*w + 20]', '[120, 60, 2*w + 40]', '[121, 11, -11]', '[123, 123, w + 16]', '[123, 123, w + 25]', '[123, 123, w + 98]', '[123, 123, w + 107]', '[124, 62, -4*w + 6]', '[124, 62, 4*w + 6]', '[125, 25, 5*w]', '[128, 16, 8*w]', '[129, 129, 4*w - 17]', '[129, 129, -2*w + 13]', '[129, 129, -2*w - 13]', '[129, 129, 4*w + 17]', '[130, 130, w + 20]', '[130, 130, w + 110]', '[134, 134, -w - 12]', '[134, 134, w - 12]', '[135, 45, -3*w - 15]', '[135, 45, 3*w - 15]', '[135, 135, 4*w + 5]', '[135, 135, 4*w - 5]', '[142, 142, w + 62]', '[142, 142, w + 80]', '[144, 12, 12]', '[144, 36, -4*w - 4]', '[144, 36, -4*w + 4]', '[147, 21, 7*w + 7]', '[147, 21, 7*w + 14]', '[148, 74, 2*w + 22]', '[148, 74, 2*w + 52]', '[150, 30, -5*w - 10]', '[150, 30, -5*w + 10]', '[151, 151, 4*w - 3]', '[151, 151, -4*w - 3]', '[155, 155, w + 45]', '[155, 155, w + 110]', '[156, 78, 2*w + 14]', '[156, 78, 4*w - 2]', '[156, 78, -4*w - 2]', '[156, 78, 2*w - 14]', '[157, 157, w + 18]', '[157, 157, w + 139]', '[158, 158, w + 22]', '[158, 158, w + 136]', '[159, 159, -w - 13]', '[159, 159, 4*w + 1]', '[159, 159, 4*w - 1]', '[159, 159, w - 13]', '[160, 40, 4*w]', '[162, 18, 9*w]', '[162, 54, 3*w + 24]', '[162, 54, 3*w + 30]', '[162, 162, w + 46]', '[162, 162, w + 116]', '[163, 163, w + 70]', '[163, 163, w + 93]', '[164, 82, 6*w + 14]', '[164, 82, -6*w + 14]', '[166, 166, -3*w + 16]', '[166, 166, -3*w - 16]', '[169, 13, 13]', '[169, 169, -5*w + 9]', '[169, 169, -5*w - 9]', '[172, 86, 2*w + 30]', '[172, 86, 2*w + 56]', '[173, 173, w + 23]', '[173, 173, w + 150]', '[178, 178, w + 30]', '[178, 178, w + 148]', '[180, 30, 6*w]', '[180, 90, 2*w + 20]', '[180, 90, 2*w + 70]', '[185, 185, -2*w + 15]', '[185, 185, 2*w + 15]', '[186, 186, w + 14]', '[186, 186, -5*w - 8]', '[186, 186, 5*w - 8]', '[186, 186, w - 14]', '[191, 191, -6*w - 13]', '[191, 191, 6*w - 13]', '[192, 24, 8*w + 8]', '[192, 24, 8*w + 16]', '[195, 195, w + 20]', '[195, 195, w + 85]', '[195, 195, w + 110]', '[195, 195, w + 175]', '[196, 14, -14]', '[197, 197, w + 73]', '[197, 197, w + 124]', '[199, 199, -3*w - 17]', '[199, 199, 3*w - 17]', '[200, 20, 10*w]', '[201, 201, 7*w - 17]', '[201, 201, 5*w - 7]', '[201, 201, 5*w + 7]', '[201, 201, 7*w + 17]', '[205, 205, w + 25]', '[205, 205, w + 180]', '[208, 52, 4*w + 24]', '[208, 52, 4*w + 28]', '[212, 106, 2*w + 26]', '[212, 106, 2*w + 80]', '[213, 213, w + 62]', '[213, 213, w + 80]', '[213, 213, w + 133]', '[213, 213, w + 151]', '[214, 214, -5*w - 6]', '[214, 214, 5*w - 6]', '[215, 215, -w - 15]', '[215, 215, -w + 15]', '[216, 36, -6*w - 12]', '[216, 36, -6*w + 12]', '[216, 108, 2*w + 16]', '[216, 108, -2*w + 16]', '[222, 222, w + 26]', '[222, 222, w + 100]', '[222, 222, w + 122]', '[222, 222, w + 196]', '[225, 15, 15]', '[225, 45, -5*w - 5]', '[225, 45, -5*w + 5]', '[227, 227, w + 64]', '[227, 227, w + 163]', '[234, 78, -3*w - 18]', '[234, 78, -3*w + 18]', '[234, 234, -5*w + 4]', '[234, 234, 5*w + 22]', '[234, 234, 5*w - 22]', '[234, 234, 5*w + 4]', '[237, 237, w + 22]', '[237, 237, w + 101]', '[237, 237, w + 136]', '[237, 237, w + 215]', '[239, 239, 6*w - 11]', '[239, 239, -6*w - 11]', '[240, 60, -4*w - 20]', '[240, 60, 4*w - 20]', '[241, 241, -5*w - 3]', '[241, 241, 5*w - 3]', '[242, 22, 11*w]', '[243, 27, 9*w + 9]', '[243, 27, 9*w + 18]', '[243, 81, 3*w + 24]', '[243, 81, 3*w + 57]', '[243, 243, w + 35]', '[243, 243, w + 208]', '[245, 35, 7*w]', '[246, 246, -w - 16]', '[246, 246, -13*w - 44]', '[246, 246, -13*w + 44]', '[246, 246, -w + 16]', '[248, 124, 2*w + 28]', '[248, 124, 2*w + 96]', '[249, 249, -5*w - 1]', '[249, 249, 2*w - 17]', '[249, 249, 2*w + 17]', '[249, 249, 5*w - 1]', '[250, 50, 5*w]', '[256, 16, 16]', '[258, 258, w + 28]', '[258, 258, w + 58]', '[258, 258, w + 200]', '[258, 258, w + 230]', '[260, 130, 6*w - 10]', '[260, 130, -6*w - 10]', '[265, 265, -6*w + 25]', '[265, 265, 6*w + 25]', '[267, 267, w + 59]', '[267, 267, w + 119]', '[267, 267, w + 148]', '[267, 267, w + 208]', '[268, 134, 2*w + 24]', '[268, 134, 2*w + 110]', '[270, 90, 3*w + 30]', '[270, 90, 3*w + 60]', '[270, 270, w + 100]', '[270, 270, w + 170]', '[271, 271, 3*w - 19]', '[271, 271, -3*w - 19]', '[277, 277, w + 29]', '[277, 277, w + 248]', '[279, 93, -6*w + 9]', '[279, 93, 6*w + 9]', '[279, 279, -w - 17]', '[279, 279, -5*w + 23]', '[279, 279, -5*w - 23]', '[279, 279, -w + 17]', '[281, 281, 4*w - 21]', '[281, 281, -4*w - 21]', '[283, 283, w + 24]', '[283, 283, w + 259]', '[284, 142, -2*w - 18]', '[284, 142, 2*w - 18]', '[288, 24, 12*w]', '[288, 72, 4*w + 32]', '[288, 72, 4*w + 40]', '[289, 17, -17]', '[293, 293, w + 89]', '[293, 293, w + 204]', '[294, 42, 7*w + 14]', '[294, 42, 7*w - 14]', '[296, 148, 6*w + 8]', '[296, 148, 6*w - 8]', '[300, 30, 10*w + 10]', '[300, 30, 10*w + 20]', '[302, 302, w + 114]', '[302, 302, w + 188]', '[307, 307, w + 138]', '[307, 307, w + 169]', '[310, 310, 3*w + 20]', '[310, 310, 3*w - 20]', '[311, 311, -6*w - 7]', '[311, 311, 6*w - 7]', '[312, 156, 2*w + 40]', '[312, 156, 2*w + 64]', '[312, 156, 2*w + 92]', '[312, 156, 2*w + 116]', '[314, 314, -w - 18]', '[314, 314, w - 18]', '[316, 158, -8*w - 18]', '[316, 158, 8*w - 18]', '[317, 317, w + 31]', '[317, 317, w + 286]', '[318, 318, w + 40]', '[318, 318, w + 146]', '[318, 318, w + 172]', '[318, 318, w + 278]', '[320, 40, 8*w]', '[321, 321, 8*w + 31]', '[321, 321, -2*w + 19]', '[321, 321, -2*w - 19]', '[321, 321, 8*w - 31]', '[324, 18, 18]', '[324, 54, -6*w - 6]', '[324, 54, -6*w + 6]', '[324, 162, -4*w + 22]', '[324, 162, 4*w + 22]', '[325, 65, 5*w + 30]', '[325, 65, 5*w + 35]', '[326, 326, 9*w - 22]', '[326, 326, 9*w + 22]', '[328, 164, 2*w + 32]', '[328, 164, 2*w + 132]', '[332, 166, 2*w + 66]', '[332, 166, 2*w + 100]', '[333, 111, 3*w + 33]', '[333, 111, 3*w + 78]', '[333, 333, w + 26]', '[333, 333, w + 100]', '[333, 333, w + 233]', '[333, 333, w + 307]', '[335, 335, -6*w + 5]', '[335, 335, -6*w - 5]', '[338, 26, 13*w]', '[338, 338, w + 32]', '[338, 338, w + 306]', '[344, 172, 6*w - 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41]', '[9209, 9209, -33*w - 41]', '[9227, 9227, w + 3004]', '[9227, 9227, w + 6223]', '[9239, 9239, -36*w - 61]', '[9239, 9239, 36*w - 61]', '[9241, 9241, -36*w - 149]', '[9241, 9241, 36*w - 149]', '[9277, 9277, w + 1345]', '[9277, 9277, w + 7932]', '[9281, 9281, 39*w - 77]', '[9281, 9281, -39*w - 77]', '[9283, 9283, w + 4558]', '[9283, 9283, w + 4725]', '[9293, 9293, w + 167]', '[9293, 9293, w + 9126]', '[9311, 9311, 7*w - 99]', '[9311, 9311, -7*w - 99]', '[9319, 9319, 3*w - 97]', '[9319, 9319, -3*w - 97]', '[9323, 9323, w + 3342]', '[9323, 9323, w + 5981]', '[9391, 9391, -9*w - 101]', '[9391, 9391, 9*w - 101]', '[9397, 9397, w + 1907]', '[9397, 9397, w + 7490]', '[9403, 9403, w + 3971]', '[9403, 9403, w + 5432]', '[9409, 97, -97]', '[9413, 9413, w + 2883]', '[9413, 9413, w + 6530]', '[9431, 9431, 17*w - 111]', '[9431, 9431, -17*w - 111]', '[9437, 9437, w + 3741]', '[9437, 9437, w + 5696]', '[9439, 9439, -40*w - 81]', '[9439, 9439, 40*w - 81]', '[9467, 9467, w + 2409]', '[9467, 9467, w + 7058]', '[9479, 9479, -36*w - 59]', '[9479, 9479, 36*w - 59]', '[9511, 9511, 32*w - 27]', '[9511, 9511, -32*w - 27]', '[9521, 9521, 33*w - 37]', '[9521, 9521, -33*w - 37]', '[9533, 9533, w + 4439]', '[9533, 9533, w + 5094]', '[9547, 9547, w + 1698]', '[9547, 9547, w + 7849]', '[9551, 9551, -5*w - 99]', '[9551, 9551, 5*w - 99]', '[9587, 9587, w + 1429]', '[9587, 9587, w + 8158]', '[9601, 9601, 31*w - 3]', '[9601, 9601, -31*w - 3]', '[9613, 9613, w + 2990]', '[9613, 9613, w + 6623]', '[9631, 9631, 15*w - 109]', '[9631, 9631, -15*w - 109]', '[9643, 9643, w + 947]', '[9643, 9643, w + 8696]', '[9649, 9649, -35*w - 51]', '[9649, 9649, 35*w - 51]', '[9677, 9677, w + 1091]', '[9677, 9677, w + 8586]', '[9679, 9679, 38*w - 69]', '[9679, 9679, -38*w - 69]', '[9689, 9689, -20*w - 117]', '[9689, 9689, 20*w - 117]', '[9719, 9719, 37*w - 153]', '[9719, 9719, -37*w - 153]', '[9721, 9721, -37*w - 63]', '[9721, 9721, 37*w - 63]', '[9733, 9733, w + 3460]', '[9733, 9733, w + 6273]', '[9769, 9769, -47*w + 111]', '[9769, 9769, 47*w + 111]', '[9787, 9787, w + 1523]', '[9787, 9787, w + 8264]', '[9791, 9791, -w - 99]', '[9791, 9791, w - 99]', '[9803, 9803, w + 357]', '[9803, 9803, w + 9446]', '[9839, 9839, 23*w - 123]', '[9839, 9839, -23*w - 123]', '[9871, 9871, -27*w - 131]', '[9871, 9871, 27*w - 131]', '[9883, 9883, w + 878]', '[9883, 9883, w + 9005]', '[9907, 9907, w + 3422]', '[9907, 9907, w + 6485]', '[9923, 9923, w + 2524]', '[9923, 9923, w + 7399]', '[9929, 9929, -33*w - 31]', '[9929, 9929, 33*w - 31]', '[9973, 9973, w + 173]', '[9973, 9973, w + 9800]']}
• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-10, 0, 1], 'conductor': 40, 'degree': 2, 'dirichlet_group': [1, 29], 'disc_abs': 40, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 6.324555320336759, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.40.1', 'local_algs': ['2.1.2.3a1.4', '5.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 5], 'rd': 6.32455532034, 'regulator': {'__RealLiteral__': 0, 'data': '1.81844645923', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 3 \\)'], 'used_grh': False, 'zk': ['1', 'a']}