Hilbert modular form data - 2.2.40.1-490.1-a

Formats: - HTML - YAML - JSON - 2024-10-07T04:30:40.057599

• 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': 'yes', 'label': '2.2.40.1-490.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2, 5, 7], 'level_ideal': '[490, 70, -7*w]', 'level_label': '490.1', 'level_norm': 490, 'parallel_weight': 2, 'short_label': '490.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', 1], ['[5, 5, w]', -1], ['[49, 7, -7]', -1]], 'hecke_eigenvalues': [-1, 0, 0, 1, 6, 6, 8, 8, 10, 10, 2, 2, -4, -4, 1, 2, 2, 12, 12, -16, -16, -8, -8, -8, -8, 10, 10, -12, -12, -6, 8, 8, -10, -10, 4, 4, 22, 22, 24, 24, -14, -14, -16, -16, -8, -8, 16, 16, 10, 10, 0, 0, 18, 18, 26, 26, -32, -32, -30, -10, -10, 8, 8, -24, -24, -22, -22, -4, -4, 8, 8, -38, -14, -14, -10, -10, -14, -14, -30, -30, 0, 0, -8, -8, 20, 20, -30, -30, 40, 40, 24, 24, 2, 2, -16, -16, -46, -12, -12, -22, -22, 16, 16, -6, -6, -8, -8, 0, 0, 42, 42, -6, -6, -16, -16, 2, 2, 32, 32, -14, -14, -18, -18, 4, 4, 24, 24, 14, 14, -16, -16, -22, -22, 18, 18, 10, 10, -42, -42, 8, 8, 6, 6, -6, -6, -44, -44, -16, -16, -22, 46, 46, -14, -14, 2, 2, 12, 12, 52, 52, 0, 0, -16, -16, 58, 58, -44, -44, 40, 40, 22, 22, 34, 34, 14, 14, 48, 48, -40, -40, -38, -38, 58, 58, -22, -22, -8, -8, 58, 58, -24, -24, 20, 20, 12, 12, 34, 34, -46, -46, -40, -40, 6, 6, 18, 18, 46, 46, 56, 56, 36, 36, -6, -6, -32, -32, -24, -24, -46, -46, 42, 42, -30, -30, -40, -40, -30, -30, 40, 40, -16, -16, 50, 50, -8, -8, -54, -54, -64, -64, 10, 10, 34, 34, 40, 40, -28, -28, 0, 0, 26, 26, 18, 18, 42, 42, 30, 30, 8, 8, 6, 6, -28, -28, 46, 46, 26, 26, 68, 68, -54, -54, -12, -12, 48, 48, -68, -68, -6, -6, 32, 32, 16, 16, 48, 48, -30, -30, -16, -16, 18, 18, 40, 40, -6, -6, 64, 64, -34, -34, -32, -32, -62, -62, -8, -8, -60, -60, 76, 76, 24, 24, -14, -14, -14, -14, -44, -44, -70, -70, -72, -72, 50, 50, -22, -22, -48, -48, -30, -54, -54, -30, -30, -56, -56, 48, 48, 48, 48, 10, 10, 2, 2, 80, 80, 18, 18, -52, -52, 0, 0, 6, 6, -24, -24, 34, 34, -22, -22, -40, -40, 86, 86, 10, 10, 8, 8, -70, -70, 0, 0, -6, -6, -72, -72, 22, 22, 4, 4, -46, -46, -58, -58, -48, -48, 40, 40, 88, 88, 82, 82, 16, 16, 58, 58, -30, -30, 0, 0, 90, 90, -36, -36, -24, -24, -74, -74, 14, 14, 52, 52, 90, 90, -64, -64, -62, -62, -82, -82, 42, 42, -70, -70, 12, 12, -64, -64, -72, -72, 66, 66, 56, 56, 2, 2, 32, 32, 58, 58, 68, 68, 24, 24, -12, -12, 18, 18, -42, -42, 40, 40, 56, 56, 40, 40, 72, 72, 34, 34, -52, -52, -80, -80, -78, -78, -74, -74, 48, 48, 18, 18, 90, 90, 60, 60, -54, -56, -56, -2, -2, -54, -54, 6, 6, -72, -72, -30, -30, 64, 64, -102, -102, -32, -32, -38, -38, 8, 8, 88, 88, 90, 90, -8, -8, 74, 74, 74, 2, 2, 34, 34, 62, 62, -60, -60, 94, 94, 94, 94, -78, -78, -14, -14, -84, -84, 40, 40, 42, 42, -32, -32, -96, -96, -118, -118, 88, 88, -94, -94, -56, -56, 2, 2, -52, -52, 66, 66, 96, 96, -2, -2, -80, -80, -22, -22, -66, -66, -50, -50, 0, 0, -70, -70, -32, -32, -118, -118, 116, 116, -14, -14, 0, 0, 0, 0, 98, 98, 22, 22, -12, -12, -90, -90, -56, -56, -78, -78, -6, -6, -14, -14, -110, -110, -32, -32, -82, -82, -40, -40, -30, -30, -40, -40, 60, 60, -100, -100, -62, -62, 8, 8, 62, 62, 100, 100, -90, -90, 32, 32, -108, -108, 26, 26, -120, -120, 66, 66, 8, 8, -86, -86, -14, -14, 120, 120, -80, -80, 120, 120, 72, 72, 98, 98, -30, -30, 96, 96, -80, -80, 6, 6, 114, 114, 32, 32, -106, -106, -80, -80, -22, -22, 82, 82, -18, -18, 64, 64, -120, -120, 24, 24, 66, 66, -64, -64, -70, -70, -38, -38, 92, 92, 120, 120, -36, -36, -50, -50, 10, 10, 64, 64, -24, -24, -46, -46, -32, -32, -6, -6, 104, 104, -142, 6, 6, 40, 40, -32, -32, -36, -36, -16, -16, 2, 2, -16, -16, 30, 30, 2, 2, -68, -68, -78, -78, -24, -24, 126, 126, 64, 64, -52, -52, 8, 8, -144, -144, -6, -6, -58, -58, 24, 24, 18, 18, -70, -70, 96, 96, -104, -104, -14, -14, 26, 26, -104, -104, -118, -118, -126, -126, 40, 40, 134, 134, 40, 40, 114, 114, -90, -90, -16, -16, -120, -120, -64, -64, 26, 26, 44, 44, 96, 96, 138, 138, -4, -4, -92, -92, -98, -98, -52, -52, 14, 14, -48, -48, 16, 16, -22, -22, 10, 10, -62, -62, -88, -88, 112, 112, -26, -26, -54, -54, 120, 120, 12, 12, -96, -96, 6, 6, 88, 88, -42, -42, 60, 60, 90, 90, -104, -104, 26, 26, -26, -26, 38, 38, -92, -92, 130, 130, -110, -110, 90, 90, -14, -14, -68, -68, 56, 56, -12, -12, -70, -70, -72, -72, -30, -30, 78, 78, 128, 128, -30, -30, 80, 80, -82, -82, 58, 58, -20, -20, -80, -80, -104, -104, 132, 132, 106, 106, 88, 88, 116, 116, 40, 40, -96, -96, -70, -70, -104, -104, 24, 24, 74, 74, -72, -72, -54, -54, 26, 26, -50, -50, 80, 80, -24, -24, -12, -12, -40, -40, 50, 50, 42, 42, 136, 136, 104, 104, 0, 0, 6, 6, -26, -26, -88, -88, -54, -54, -24, -24, 168, 168, 114, 114, -14, -14, 88, 88, 146, 146, 154, 154, -6, -6, 2, 2, -24, -24, -26, -26, 72, 72, 154, 154, 92, 92, -40, -40, 26, 26, 30, 30, -88, -88, -36, -36, 136, 136, 24, 24, 138, 138, 50, 50, -34, -34, 36, 36, 18, 18, -112, -112, -78, -78, -66, -66, -168, -168, 66, 66, 128, 128, -140, -140, -92, -92, -64, -64, -30, -30, 96, 96, -108, -108, -38, -38, -16, -16, 94, 94, -14, -14, 10, 10, -78, -78, -40, -40, -14, -14, 112, 112, -72, -72, -46, -46, -64, -64, -142, -142, -112, -112, -90, -90, -60, -60, 86, 86, 16, 16, 42, 42, 2, 2, 160, 160, -78, -78, -100, -100, -168, -168, -12, -12, 28, 28, -182, -182, -132, -132, -114, -114, -70, -70, 184, 184, 162, 162, -144, -144, -134, -134, 122, 122, -6, -6, -62, -62, 54, 54, 24, 24, 40, 40, -12, -12, -6, -6, 156, 156, 32, 32, 142, 142, -136, -136, 66, 66, -152, -152, 38, 38, -32, -32, 34, 34, 90, 90, -16, -16, -72, -72, 10, 10, 136, 136, 58, 58, 58, 58, -142, -142, -104, -104, -14, -14, -52, -52, 62, 62, 96, 96, 138, 138, 98, 98, -114, -114, 96, 96, 32, 32, 120, 120, 26, 26, 76, 76, 8, 8, 26, 26, 10, 10, 82, 82, -92, -92, -54, -54, -72, -72, 112, 112, 144, 144, -128, -128, 94, 94, 172, 172, -190, 126, 126, -136, -136, -150, -150, -56, -56, -168, -168, -24, -24, 112, 112, -62, -62, 94, 94, -104, -104, -40, -40, -52, -52, -14, -14, 186, 186, 160, 160, 12, 12, -110, -110, 166, 166, 96, 96, -38, -38, 136, 136, -6, -6, -170, -170, -38, -38, 52, 52, 24, 24, 120, 120, 128, 128, 72, 72, 80, 80, -20, -20, -76, -76, 178, 178, -18, -18], 'hecke_polynomial': 'x', 'label': '2.2.40.1-490.1-a'}
• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  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': ['2.2.3.2', '5.2.1.2'], 'monogenic': 1, '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']}