Hilbert modular form data - 2.2.40.1-360.1-p

Formats: - HTML - YAML - JSON - 2025-01-18T08:22:09.422280

• 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': '2.2.40.1-360.1-p', 'label_nsuffix': 15, 'label_suffix': 'p', 'level_bad_primes': [2, 3, 5], 'level_ideal': '[360, 60, 6*w]', 'level_label': '360.1', 'level_norm': 360, 'parallel_weight': 2, 'short_label': '360.1-p', '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], ['[5, 5, w]', -1]], 'hecke_eigenvalues': [0, 1, 1, 1, 6, 6, -8, -8, -2, -2, -6, -6, 12, 12, -14, 6, 6, 4, 4, 8, 8, -8, -8, -12, -12, 10, 10, -4, -4, -6, 16, 16, 6, 6, 4, 4, 14, 14, 0, 0, -10, -10, 0, 0, -28, -28, 0, 0, -14, -14, -24, -24, -2, -2, -22, -22, -4, -4, 2, 22, 22, -28, -28, 8, 8, 14, 14, 12, 12, -24, -24, -22, -2, -2, 38, 38, -14, -14, 26, 26, -16, -16, 16, 16, -4, -4, -30, -30, -28, -28, -32, -32, 42, 42, -4, -4, -46, 36, 36, -18, -18, 4, 4, -6, -6, -4, -4, -40, -40, 26, 26, -2, -2, 32, 32, 18, 18, 4, 4, 14, 14, 38, 38, 28, 28, 0, 0, -26, -26, 8, 8, -2, -2, 26, 26, -30, -30, -42, -42, 4, 4, -2, -2, -6, -6, -36, -36, 40, 40, -54, 14, 14, 22, 22, 2, 2, 52, 52, 28, 28, 0, 0, -16, -16, -30, -30, -60, -60, 40, 40, -18, -18, -14, -14, -42, -42, -24, -24, 24, 24, -22, -22, 46, 46, 22, 22, 20, 20, -22, -22, 32, 32, -36, -36, 36, 36, 50, 50, -10, -10, -40, -40, 46, 46, 66, 66, 14, 14, -8, -8, -12, -12, -6, -6, 28, 28, 24, 24, -54, -54, -46, -46, 30, 30, 16, 16, -14, -14, -28, -28, -48, -48, -58, -58, -40, -40, 58, 58, -4, -4, -46, -46, -10, -10, 40, 40, -28, -28, -24, -24, 6, 6, -30, -30, 10, 10, 62, 62, 44, 44, -74, -74, -12, -12, 54, 54, -6, -6, 44, 44, 6, 6, 4, 4, -56, -56, 12, 12, 10, 10, -16, -16, 28, 28, -80, -80, -42, -42, 0, 0, 2, 2, 52, 52, -58, -58, -56, -56, 6, 6, 4, 4, -18, -18, -24, -24, 36, 36, 44, 44, 72, 72, 14, 14, 34, 34, -44, -44, -54, -54, 80, 80, 82, 82, -14, -14, -68, -68, -30, -90, -90, 30, 30, -40, -40, -12, -12, 60, 60, -54, -54, 62, 62, -48, -48, -18, -18, -84, -84, 0, 0, 70, 70, 0, 0, 46, 46, 42, 42, -28, -28, -2, -2, -6, -6, 16, 16, 38, 38, 48, 48, -78, -78, 8, 8, -34, -34, 44, 44, 2, 2, 70, 70, 4, 4, -40, -40, -56, -56, 90, 90, 80, 80, 22, 22, 18, 18, 20, 20, -74, -74, -52, -52, 0, 0, 78, 78, -66, -66, 52, 52, 58, 58, 56, 56, -70, -70, -10, -10, -78, -78, -54, -54, -68, -68, 80, 80, 44, 44, -62, -62, 80, 80, -14, -14, -84, -84, 66, 66, 52, 52, -8, -8, 36, 36, 42, 42, 78, 78, -48, -48, 28, 28, -96, -96, -84, -84, 82, 82, 100, 100, -112, -112, 2, 2, 22, 22, 40, 40, -106, -106, -102, -102, 28, 28, 26, -48, -48, -74, -74, 10, 10, -98, -98, 12, 12, 54, 54, 48, 48, -58, -58, 8, 8, -98, -98, -52, -52, -24, -24, -50, -50, -40, -40, 74, -34, -34, -62, -62, 58, 58, -90, -90, -36, -36, -106, -106, -34, -34, 106, 106, 50, 50, 20, 20, 72, 72, -2, -2, 56, 56, 36, 36, -54, -54, -4, -4, 2, 2, 36, 36, 62, 62, -68, -68, -62, -62, 0, 0, 54, 54, 24, 24, -30, -30, -26, -26, 62, 62, -104, -104, -86, -86, -96, -96, -62, -62, 84, 84, -66, -66, 80, 80, 12, 12, -14, -14, -50, -50, 60, 60, 102, 102, -8, -8, -114, -114, 26, 26, -102, -102, -110, -110, 20, 20, 30, 30, 92, 92, 102, 102, 80, 80, -36, -36, 4, 4, 82, 82, 56, 56, 62, 62, 60, 60, 78, 78, -40, -40, 36, 36, -102, -102, 72, 72, 66, 66, 84, 84, 58, 58, -50, -50, 16, 16, 96, 96, 36, 36, -16, -16, -62, -62, -10, -10, 88, 88, -120, -120, -98, -98, -70, -70, -88, -88, -2, -2, 80, 80, 102, 102, 42, 42, 94, 94, -52, -52, -64, -64, -116, -116, 130, 130, 0, 0, 62, 62, -38, -38, -12, -12, -56, -56, -84, -84, 6, 6, -38, -38, 92, 92, 48, 48, -90, -90, -96, -96, 98, 98, -68, -68, -110, 54, 54, 4, 4, 24, 24, 12, 12, 24, 24, -66, -66, 32, 32, -122, -122, 130, 130, 4, 4, 74, 74, 112, 112, 102, 102, 112, 112, -20, -20, -92, -92, 0, 0, 50, 50, -50, -50, 92, 92, -62, -62, -42, -42, -8, -8, 8, 8, 10, 10, 126, 126, -140, -140, 26, 26, 62, 62, 0, 0, -74, -74, -40, -40, -70, -70, -74, -74, 20, 20, 104, 104, 116, 116, 10, 10, -68, -68, -104, -104, -102, -102, 84, 84, 52, 52, 62, 62, -4, -4, 54, 54, -76, -76, 24, 24, 106, 106, 10, 10, -82, -82, -64, -64, -92, -92, 126, 126, 102, 102, 96, 96, 60, 60, 72, 72, -130, -130, 88, 88, 94, 94, 36, 36, -6, -6, 88, 88, 90, 90, 110, 110, -122, -122, 76, 76, 146, 146, 18, 18, -6, -6, 130, 130, 52, 52, 136, 136, 132, 132, 10, 10, -72, -72, 118, 118, -2, -2, 0, 0, 66, 66, -112, -112, 38, 38, -54, -54, -116, -116, 24, 24, -12, -12, -36, -36, 58, 58, 48, 48, -92, -92, -52, -52, 160, 160, 54, 54, 4, 4, -80, -80, -78, -78, 56, 56, 30, 30, 10, 10, 102, 102, -12, -12, 136, 136, 132, 132, -72, -72, -126, -126, 154, 154, 32, 32, 112, 112, -44, -44, 38, 38, 62, 62, -116, -116, -90, -90, 132, 132, 12, 12, -166, -166, -82, -82, 48, 48, 106, 106, 78, 78, 10, 10, 130, 130, 20, 20, 110, 110, -44, -44, -150, -150, -84, -84, -88, -88, 10, 10, 126, 126, -16, -16, 116, 116, 16, 16, -4, -4, 50, 50, -158, -158, 110, 110, 172, 172, -114, -114, -56, -56, 34, 34, -82, -82, 156, 156, 102, 102, 80, 80, -84, -84, -12, -12, -160, -160, 6, 6, -40, -40, 76, 76, -6, -6, -136, -136, 142, 142, -78, -78, -102, -102, 46, 46, 48, 48, -138, -138, -36, -36, 52, 52, 34, 34, -56, -56, -46, -46, -56, -56, -114, -114, -12, -12, -66, -66, 32, 32, -122, -122, -54, -54, 156, 156, 98, 98, -108, -108, -168, -168, -20, -20, -12, -12, -86, -86, -76, -76, -162, -162, -26, -26, -160, -160, -30, -30, -76, -76, 2, 2, -18, -18, -86, -86, -78, -78, 102, 102, -172, -172, 120, 120, -52, -52, -38, -38, 180, 180, -48, -48, -26, -26, -128, -128, 2, 2, 164, 164, -74, -74, -20, -20, -158, -158, -106, -106, -136, -136, 36, 36, -70, -70, -8, -8, -86, -86, -130, -130, 2, 2, -44, -44, 90, 90, 12, 12, 134, 134, -40, -40, -50, -50, 186, 186, 6, 6, 84, 84, -56, -56, 36, 36, -38, -38, 140, 140, -56, -56, 26, 26, 22, 22, 82, 82, 116, 116, 46, 46, 80, 80, -32, -32, 140, 140, -104, -104, 14, 14, -164, -164, -190, 6, 6, 120, 120, 62, 62, 120, 120, -132, -132, 104, 104, 16, 16, -110, -110, -162, -162, -52, -52, -160, -160, -108, -108, 194, 194, -106, -106, -24, -24, -52, -52, -142, -142, 30, 30, 8, 8, -86, -86, 24, 24, 90, 90, 30, 30, -54, -54, 12, 12, -16, -16, -20, -20, 80, 80, 56, 56, 188, 188, -28, -28, -12, -12, -134, -134, -146, -146], 'hecke_polynomial': 'x', 'label': '2.2.40.1-360.1-p'}
• 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']}