Hilbert modular form data - 2.2.24.1-49.1-a

Formats: - HTML - YAML - JSON - 2025-09-28T09:08:10.749293

• 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': 24, 'field_bad_primes': [2, 3], 'field_label': '2.2.24.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.24.1-49.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [7], 'level_ideal': '[49, 7, -7]', 'level_label': '49.1', 'level_norm': 49, 'parallel_weight': 2, 'short_label': '49.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[49, 7, -7]', 1]], 'hecke_eigenvalues': [0, 2, 4, -4, 6, 6, 0, 0, 8, -8, -2, -2, -8, 8, -1, 0, 0, -2, -2, -8, 8, -6, -6, -2, -2, 4, -4, -18, -2, -2, -16, 16, -22, -22, 0, 0, 10, 12, -12, -8, 8, 10, 10, 0, 0, -2, -2, 16, -16, 2, 2, -8, 8, -12, 12, 22, 22, -30, 4, -4, -22, -22, -8, 8, 6, 6, 32, -32, 18, 18, 30, 30, 0, 0, -34, -34, -24, 24, 24, -24, 26, 26, -32, 32, -2, -2, 10, 10, 20, -20, 40, -40, -34, -34, 24, -24, 12, -12, -22, -22, -22, -22, 16, -16, 18, 18, 14, 14, -24, 24, 10, 10, -10, -10, -34, -34, 0, 0, 24, -24, 6, 6, 12, -12, -10, -10, -24, 24, 8, -8, 22, 22, 16, -16, -14, -14, 36, -36, 38, 38, 28, -28, -6, -6, -48, 48, -48, 48, 34, 34, -24, 24, -30, -30, 0, 0, 22, 22, -32, 32, -10, -10, 52, -52, -2, -32, 32, 38, 38, 60, -60, 24, -24, 46, 46, 26, 26, 8, -8, -48, 48, -12, 12, -54, -54, 38, 38, 56, -56, 2, 2, -2, -2, -28, 28, 30, 30, 24, -24, 48, -48, 14, 14, -4, 4, 34, 34, -22, -22, -60, 60, 24, -24, 26, 26, 40, -40, 10, 8, -8, -16, 16, -18, -18, 58, 58, 48, -48, -66, -66, 16, -16, 40, -40, 6, 6, 32, -32, -30, -30, -56, 56, -72, 72, 70, 70, 12, -12, -50, -50, -36, 36, -70, -70, 18, -14, -14, -48, 48, 6, 6, 24, -24, -26, -26, 70, 70, 18, 18, 34, 34, -32, 32, 32, -32, -70, -70, 48, -48, 26, 26, -16, 16, 64, -64, 60, -60, -60, 60, 14, 14, -26, -26, -72, 72, 62, 62, -38, -38, -32, 32, -32, 32, -24, 24, -70, -70, -24, 24, -10, -10, 56, -56, 62, 62, 18, 18, 54, 54, 60, -60, 62, 62, 58, 58, -38, -38, 32, -32, -24, 24, -72, 72, 74, 74, 10, 10, 84, -84, -24, 24, -30, -30, 0, 0, 20, -20, 62, 62, 58, 58, 48, -48, -72, 72, 48, -48, 32, -32, -22, -22, 82, 82, 12, -12, -38, -38, 34, 34, -40, 40, 64, -64, 96, -96, -46, -46, 6, 6, -20, 20, -82, -82, -40, 40, 42, 42, -72, 72, -46, -46, 36, -36, -82, -82, -32, 32, 10, 10, 22, 22, 56, -56, -4, 4, -98, -98, -18, -18, -24, 24, 50, 50, 50, 50, 36, -36, -72, 72, 8, -8, 72, -72, 88, -88, -74, -74, -12, 12, 66, 66, -64, 64, -42, -42, 78, 78, 64, -64, 18, 18, 46, 46, 104, -104, -94, -94, 6, 6, -24, 24, -14, -14, 38, 38, 24, -24, -30, -30, 48, -48, 30, 30, 2, 2, 14, 14, 2, 2, 32, -32, 50, 50, -40, 40, 48, -48, -96, 96, -42, -42, -98, -98, -44, 44, -18, -74, -74, 72, -72, 66, 66, -84, 84, -18, -18, -96, 96, 26, 26, 40, -40, -24, 24, -34, -34, 24, -24, -26, -26, -64, 64, 22, 22, -38, -38, 12, -12, -64, 64, 106, 50, 50, -40, 40, -70, -70, -14, -14, 116, -116, -60, 60, -120, 120, 22, 22, 78, 78, -72, 72, -48, 48, 2, 2, -84, 84, 26, 26, -24, 24, -104, 104, 78, 78, -34, -34, 98, 98, -80, 80, -66, -66, -96, 96, -30, -30, 36, -36, -62, -62, 28, -28, -82, -82, -110, -110, 94, 94, -24, 24, 22, 22, -104, 104, 112, -112, 94, 94, -10, -10, -46, -46, 24, -24, 10, 10, 84, -84, 80, -80, 56, -56, -112, 112, -58, -58, -104, 104, 66, 66, 60, -60, -46, -46, -50, -50, 96, -96, 86, 86, 96, -96, -38, -38, -68, 68, 122, 122, 14, 14, -56, 56, -120, 120, 26, 26, -22, -22, -104, 104, 104, -104, -40, 40, 50, 50, 16, -16, -44, 44, 80, -80, 64, -64, -64, 64, -90, -90, -84, 84, -22, -22, 34, 34, 106, 106, 16, -16, -32, 32, 78, 78, 56, -56, -34, -34, -6, -6, -74, -74, 0, 0, -98, -98, 42, 42, 120, -120, 66, 66, 64, -64, 0, 0, 144, -144, 130, 130, -24, 24, -116, 116, -50, -50, 28, -28, 102, 102, -80, 80, 108, -108, 72, -72, -30, -30, -46, -46, 70, 70, -24, 24, 60, -60, 52, -52, -80, 80, -78, -78, -78, -78, 46, 46, -56, 56, 64, -64, 16, -16, 6, 6, 22, 22, -76, 76, -134, -134, 42, 42, 8, -8, 8, -8, -36, 36, 98, 98, -112, 112, 58, 58, 32, -32, 88, -88, -4, 4, 46, 46, -14, -14, -50, -50, 64, -64, 96, -96, 30, 30, 104, -104, 82, 82, -56, 56, 2, 2, -124, 124, 16, -16, -146, -146, 8, -8, 4, -4, 98, 98, 58, 58, -10, -10, 72, -72, 38, 38, 96, -96, 98, 98, -36, 36, 72, -72, -46, -46, -26, -26, -28, 28, 94, 16, -16, 112, -112, 40, -40, -48, 48, -44, 44, 6, 6, -24, 24, -102, -102, -10, -10, 36, -36, 106, 106, 82, 82, 82, 82, 142, 142, 94, 94, -24, 24, 94, 94, -98, -98, -74, -74, -48, 48, -24, 24, -62, -62, -132, 132, 134, 134, -86, -86, 32, -32, -32, 32, -94, -94, 56, -56, -138, -138, -14, -14, 120, -120, 56, -56, 102, 102, -130, -98, -98, -96, 96, 56, -56, -120, 120, 18, 18, 120, -120, -36, 36, -98, -98, -38, -38, -48, 48, 144, -144, 96, -96, -48, 48, 26, 26, 104, -104, 74, 74, -38, -38, 20, -20, 142, 142, -16, 16, 152, -152, 98, 98, 122, 122, 116, -116, 106, 106, -34, -34, 22, 22, -122, -122, -106, -106, 128, -128, -50, -50, -26, -26, 124, -124, 34, 34, -8, 8, 24, -24, -58, -58, -16, 16, -8, 8, 146, 146, -16, 16, -74, -74, -94, -94, -48, 48, -54, -54, 0, 0, 110, 110, 8, -8, 72, -72, -12, 12, -76, 76, 62, 62, -46, -46, 0, 0, 100, -100, -48, 48, -78, 48, -48, -10, -10, 54, 54, -38, -38, 70, 70, 0, 0, 10, 10, -92, 92, -168, 168, -54, -54, 88, -88, -120, 120, -64, 64, 110, 110, 10, 10, 94, 94, 0, 0, 66, 66, 52, -52, -70, -70, -106, -106, -22, -22, -158, -158, -152, 152, 144, -144, 134, 134, 120, -120, -142, -142, -60, 60, 54, 54, -166, -166, -136, 136, 50, 50, 180, -180, 24, -24, -18, -18, 96, -96, -60, 60, -54, -54, 12, -12, 118, 118, -6, -6, -90, -90, -10, -10, -20, 20, 110, 110, -58, -58, -8, 8, -82, -82, -64, 64, -32, 32, -60, 60, 68, -68, 70, 70, -122, -122, -72, 72, -48, 48, 150, 150, 48, -48, 70, 70, -84, 84, -74, -74, -26, -26, 18, 18, -74, -74, -36, 36, 46, 46, -128, 128, 24, -24, 34, 34, -106, -106, 144, -144, 120, -120, 58, 58, -36, 36, -158, -158, 92, -92, -144, 144, -10, -10, -176, 176, -72, 72, -160, 160, 68, -68, 18, 18, -120, 120, 82, 82, -18, -18, -104, 104, 0, 0, -174, -174, -14, -14, -12, 12, 50, 50, 136, -136, 86, 86, -58, -58, -8, 8, -92, 92, -104, 104, -50, -50, -138, -138, -72, 72, -74, -74, -102, -102, -96, 96, 62, 62, -86, -86, -112, 112, 194, 194, 70, 70, -144, 144], 'hecke_polynomial': 'x', 'label': '2.2.24.1-49.1-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 24, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[3, 3, w - 3]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w - 1]', '[6, 6, w]', '[8, 4, -2*w + 4]', '[9, 3, 3]', '[10, 10, -w - 4]', '[10, 10, w - 4]', '[12, 6, 2*w - 6]', '[15, 15, -2*w + 3]', '[15, 15, -2*w - 3]', '[16, 4, 4]', '[18, 6, -3*w + 6]', '[19, 19, w + 5]', '[19, 19, -w + 5]', '[20, 10, 2*w + 2]', '[20, 10, 2*w - 2]', '[23, 23, -2*w + 1]', '[23, 23, -2*w - 1]', '[24, 12, 2*w]', '[25, 5, 5]', '[25, 25, -2*w + 7]', '[25, 25, 2*w + 7]', '[27, 9, 3*w - 9]', '[29, 29, -3*w + 5]', '[29, 29, -3*w - 5]', '[30, 30, w + 6]', '[30, 30, -w + 6]', '[32, 8, -4*w + 8]', '[36, 6, 6]', '[38, 38, -3*w - 4]', '[38, 38, -3*w + 4]', '[40, 20, -2*w - 8]', '[40, 20, 2*w - 8]', '[43, 43, -w - 7]', '[43, 43, w - 7]', '[45, 15, 3*w + 3]', '[45, 15, 3*w - 3]', '[46, 46, -3*w + 10]', '[46, 46, 3*w + 10]', '[47, 47, 4*w - 7]', '[47, 47, 6*w - 13]', '[48, 12, 4*w - 12]', '[49, 7, -7]', '[50, 10, -5*w + 10]', '[50, 50, -3*w + 2]', '[50, 50, -3*w - 2]', '[53, 53, -3*w - 1]', '[53, 53, 3*w - 1]', '[54, 18, 3*w]', '[57, 57, 2*w - 9]', '[57, 57, -2*w - 9]', '[58, 58, w + 8]', '[58, 58, -w + 8]', '[60, 30, -4*w + 6]', '[60, 30, -4*w - 6]', '[64, 8, 8]', '[67, 67, -7*w + 19]', '[67, 67, -3*w + 11]', '[69, 69, 5*w - 9]', '[69, 69, 5*w + 9]', '[71, 71, -4*w - 5]', '[71, 71, 4*w - 5]', '[72, 12, -6*w + 12]', '[73, 73, -4*w + 13]', '[73, 73, -6*w + 17]', '[75, 15, 5*w - 15]', '[75, 75, -w - 9]', '[75, 75, w - 9]', '[76, 38, 2*w + 10]', '[76, 38, -2*w + 10]', '[80, 20, 4*w + 4]', '[80, 20, 4*w - 4]', '[81, 9, 9]', '[86, 86, 9*w - 20]', '[86, 86, 5*w - 8]', '[87, 87, 4*w - 3]', '[87, 87, 4*w + 3]', '[90, 30, -3*w - 12]', '[90, 30, 3*w - 12]', '[92, 46, -4*w + 2]', '[92, 46, -4*w - 2]', '[94, 94, -w - 10]', '[94, 94, w - 10]', '[95, 95, 6*w - 11]', '[95, 95, 4*w + 1]', '[95, 95, 4*w - 1]', '[95, 95, 6*w + 11]', '[96, 24, 4*w]', '[97, 97, 2*w - 11]', '[97, 97, -2*w - 11]', '[98, 14, 7*w - 14]', '[100, 10, 10]', '[100, 50, -4*w + 14]', '[100, 50, 4*w + 14]', '[101, 101, 5*w - 7]', '[101, 101, -5*w - 7]', '[106, 106, -5*w + 16]', '[106, 106, 7*w - 20]', '[108, 18, 6*w - 18]', '[114, 114, 5*w + 6]', '[114, 114, 5*w - 6]', '[115, 115, -w - 11]', '[115, 115, 3*w - 13]', '[115, 115, -3*w - 13]', '[115, 115, w - 11]', '[116, 58, -6*w + 10]', '[116, 58, -6*w - 10]', '[120, 60, 2*w + 12]', '[120, 60, -2*w + 12]', '[121, 11, -11]', '[125, 25, 5*w + 5]', '[125, 25, 5*w - 5]', '[125, 125, 7*w - 13]', '[125, 125, 7*w + 13]', '[128, 16, -8*w + 16]', '[129, 129, -10*w + 27]', '[129, 129, -4*w + 15]', '[134, 134, -5*w + 4]', '[134, 134, -5*w - 4]', '[135, 45, -6*w + 9]', '[135, 45, -6*w - 9]', '[138, 138, -w - 12]', '[138, 138, w - 12]', '[139, 139, -9*w + 25]', '[139, 139, -5*w + 17]', '[141, 141, -5*w - 3]', '[141, 141, -5*w + 3]', '[142, 142, 13*w - 34]', '[142, 142, -3*w + 14]', '[144, 12, 12]', '[145, 145, 6*w - 19]', '[145, 145, 2*w - 13]', '[145, 145, -2*w - 13]', '[145, 145, -6*w - 19]', '[146, 146, -5*w + 2]', '[146, 146, -5*w - 2]', '[147, 21, -7*w + 21]', '[149, 149, -5*w - 1]', '[149, 149, 5*w - 1]', '[150, 30, 5*w]', '[150, 150, 7*w + 12]', '[150, 150, 7*w - 12]', '[152, 76, -6*w - 8]', '[152, 76, -6*w + 8]', '[159, 159, 8*w - 15]', '[159, 159, -10*w + 21]', '[160, 40, -4*w - 16]', '[160, 40, 4*w - 16]', '[162, 18, -9*w + 18]', '[163, 163, -w - 13]', '[163, 163, w - 13]', '[167, 167, -6*w - 7]', '[167, 167, 6*w - 7]', '[169, 13, -13]', '[171, 57, 3*w + 15]', '[171, 57, -3*w + 15]', '[172, 86, -2*w - 14]', '[172, 86, 2*w - 14]', '[173, 173, 13*w - 29]', '[173, 173, 7*w - 11]', '[174, 174, 5*w - 18]', '[174, 174, -5*w - 18]', '[180, 30, 6*w + 6]', '[180, 30, 6*w - 6]', '[184, 92, -6*w + 20]', '[184, 92, 6*w + 20]', '[188, 94, 8*w - 14]', '[188, 94, 12*w - 26]', '[190, 190, -w - 14]', '[190, 190, 7*w - 22]', '[190, 190, -7*w - 22]', '[190, 190, w - 14]', '[191, 191, 6*w - 5]', '[191, 191, -6*w - 5]', '[192, 24, 8*w - 24]', '[193, 193, -4*w + 17]', '[193, 193, 14*w - 37]', '[194, 194, 7*w - 10]', '[194, 194, 15*w - 34]', '[196, 14, -14]', '[197, 197, 9*w - 17]', '[197, 197, -11*w + 23]', '[200, 20, -10*w + 20]', '[200, 100, -6*w + 4]', '[200, 100, -6*w - 4]', '[201, 201, 2*w - 15]', '[201, 201, -2*w - 15]', '[202, 202, -3*w + 16]', '[202, 202, 17*w - 44]', '[207, 69, -6*w + 3]', '[207, 69, -6*w - 3]', '[211, 211, -5*w - 19]', '[211, 211, 5*w - 19]', '[212, 106, -6*w - 2]', '[212, 106, 6*w - 2]', '[213, 213, 7*w - 9]', '[213, 213, -17*w + 39]', '[215, 215, -6*w - 1]', '[215, 215, -8*w + 13]', '[215, 215, -8*w - 13]', '[215, 215, -6*w + 1]', '[216, 36, 6*w]', '[219, 219, -w - 15]', '[219, 219, w - 15]', '[225, 15, 15]', '[225, 75, -6*w + 21]', '[225, 75, 6*w + 21]', '[228, 114, 4*w - 18]', '[228, 114, -4*w - 18]', '[230, 230, 7*w + 8]', '[230, 230, 9*w + 16]', '[230, 230, 9*w - 16]', '[230, 230, 7*w - 8]', '[232, 116, 2*w + 16]', '[232, 116, -2*w + 16]', '[235, 235, 3*w + 17]', '[235, 235, 7*w + 23]', '[235, 235, -7*w + 23]', '[235, 235, -3*w + 17]', '[239, 239, 10*w - 19]', '[239, 239, -12*w + 25]', '[240, 60, -8*w + 12]', '[240, 60, -8*w - 12]', '[241, 241, -8*w + 25]', '[241, 241, -10*w + 29]', '[242, 22, 11*w - 22]', '[243, 27, 9*w - 27]', '[245, 35, -7*w - 7]', '[245, 35, -7*w + 7]', '[250, 50, -5*w - 20]', '[250, 50, 5*w - 20]', '[250, 250, -w - 16]', '[250, 250, w - 16]', '[256, 16, 16]', '[258, 258, -7*w + 6]', '[258, 258, -7*w - 6]', '[261, 87, -9*w + 15]', '[261, 87, -9*w - 15]', '[263, 263, -8*w - 11]', '[263, 263, 8*w - 11]', '[265, 265, -4*w - 19]', '[265, 265, 2*w - 17]', '[265, 265, 2*w + 17]', '[265, 265, -4*w + 19]', '[268, 134, -14*w + 38]', '[268, 134, -6*w + 22]', '[269, 269, -7*w - 5]', '[269, 269, 7*w - 5]', '[270, 90, 3*w + 18]', '[270, 90, -3*w + 18]', '[276, 138, 10*w - 18]', '[276, 138, 10*w + 18]', '[278, 278, -7*w - 4]', '[278, 278, -7*w + 4]', '[282, 282, -13*w + 36]', '[282, 282, -7*w + 24]', '[283, 283, -w - 17]', '[283, 283, w - 17]', '[284, 142, -8*w - 10]', '[284, 142, 8*w - 10]', '[285, 285, -11*w + 21]', '[285, 285, -7*w + 3]', '[285, 285, -7*w - 3]', '[285, 285, -11*w - 21]', '[288, 24, -12*w + 24]', '[289, 17, -17]', '[290, 290, 9*w + 14]', '[290, 290, 7*w - 2]', '[290, 290, 7*w + 2]', '[290, 290, 9*w - 14]', '[291, 291, -5*w + 21]', '[291, 291, -17*w + 45]', '[292, 146, -8*w + 26]', '[292, 146, -12*w + 34]', '[293, 293, -7*w - 1]', '[293, 293, 7*w - 1]', '[294, 42, -7*w]', '[298, 298, -9*w + 28]', '[298, 298, 11*w - 32]', '[300, 30, 10*w - 30]', '[300, 150, -2*w - 18]', '[300, 150, 2*w - 18]', '[303, 303, -22*w + 51]', '[303, 303, 8*w - 9]', '[304, 76, 4*w + 20]', '[304, 76, -4*w + 20]', '[307, 307, 3*w - 19]', '[307, 307, -3*w - 19]', '[311, 311, -16*w + 35]', '[311, 311, 10*w - 17]', '[313, 313, -6*w - 23]', '[313, 313, 6*w - 23]', '[317, 317, 9*w - 13]', '[317, 317, 19*w - 43]', '[318, 318, -w - 18]', '[318, 318, -w + 18]', '[320, 40, 8*w + 8]', '[320, 40, 8*w - 8]', '[324, 18, 18]', '[326, 326, 15*w - 32]', '[326, 326, 11*w - 20]', '[331, 331, -7*w + 25]', '[331, 331, -15*w + 41]', '[334, 334, 19*w - 50]', '[334, 334, -5*w + 22]', '[335, 335, 12*w - 23]', '[335, 335, 8*w - 7]', '[335, 335, 8*w + 7]', '[335, 335, 12*w + 23]', '[337, 337, 2*w - 19]', '[337, 337, -2*w - 19]', '[338, 26, 13*w - 26]', '[342, 114, -9*w - 12]', '[342, 114, -9*w + 12]', '[344, 172, 18*w - 40]', '[344, 172, 10*w - 16]', '[345, 345, -4*w + 21]', '[345, 345, -8*w + 27]', '[345, 345, 8*w + 27]', '[345, 345, 4*w + 21]', '[346, 346, -3*w - 20]', '[346, 346, 3*w - 20]', '[348, 174, 8*w - 6]', '[348, 174, 8*w + 6]', '[355, 355, -w - 19]', '[355, 355, -9*w - 29]', '[355, 355, -9*w + 29]', '[355, 355, -w + 19]', '[359, 359, 8*w - 5]', '[359, 359, -8*w - 5]', '[360, 60, -6*w - 24]', '[360, 60, 6*w - 24]', '[361, 19, 19]', '[361, 361, -10*w + 31]', '[361, 361, 10*w + 31]', '[363, 33, -11*w + 33]', '[365, 365, 11*w - 19]', '[365, 365, 9*w - 11]', '[365, 365, 9*w + 11]', '[365, 365, 11*w + 19]', '[368, 92, -8*w + 4]', '[368, 92, -8*w - 4]', '[375, 75, -10*w + 15]', '[375, 75, -10*w - 15]', '[375, 375, -8*w - 3]', '[375, 375, -8*w + 3]', '[376, 188, -2*w - 20]', '[376, 188, 2*w - 20]', '[379, 379, 5*w - 23]', '[379, 379, -5*w - 23]', '[380, 190, 12*w - 22]', '[380, 190, 8*w + 2]', '[380, 190, 8*w - 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77]', '[5783, 5783, 32*w - 19]', '[5783, 5783, -32*w - 19]', '[5807, 5807, -64*w + 137]', '[5807, 5807, 46*w - 83]', '[5813, 5813, 37*w - 49]', '[5813, 5813, -37*w - 49]', '[5827, 5827, -67*w + 181]', '[5827, 5827, -27*w + 101]', '[5851, 5851, -23*w + 95]', '[5851, 5851, 75*w - 199]', '[5857, 5857, -8*w - 79]', '[5857, 5857, 8*w - 79]', '[5861, 5861, 75*w - 167]', '[5861, 5861, 41*w - 65]', '[5879, 5879, 40*w - 61]', '[5879, 5879, 78*w - 175]', '[5881, 5881, -20*w - 91]', '[5881, 5881, 20*w - 91]', '[5903, 5903, 48*w - 89]', '[5903, 5903, -62*w + 131]', '[5923, 5923, -w - 77]', '[5923, 5923, w - 77]', '[5927, 5927, 36*w - 43]', '[5927, 5927, -36*w - 43]', '[5953, 5953, 24*w - 97]', '[5953, 5953, -24*w - 97]', '[5981, 5981, 35*w - 37]', '[5981, 5981, -35*w - 37]', '[6029, 6029, 47*w - 85]', '[6029, 6029, -65*w + 139]', '[6043, 6043, -49*w + 143]', '[6043, 6043, -41*w + 127]', '[6047, 6047, 54*w - 107]', '[6047, 6047, -56*w + 113]', '[6053, 6053, -73*w + 161]', '[6053, 6053, 43*w - 71]', '[6067, 6067, -47*w + 139]', '[6067, 6067, -43*w + 131]', '[6073, 6073, -44*w + 133]', '[6073, 6073, -46*w + 137]', '[6091, 6091, -5*w - 79]', '[6091, 6091, 5*w - 79]', '[6101, 6101, 39*w - 55]', '[6101, 6101, -39*w - 55]', '[6121, 6121, -22*w - 95]', '[6121, 6121, 22*w - 95]', '[6143, 6143, -32*w - 1]', '[6143, 6143, 32*w - 1]', '[6163, 6163, 11*w - 83]', '[6163, 6163, -11*w - 83]', '[6173, 6173, -33*w - 19]', '[6173, 6173, 33*w - 19]', '[6197, 6197, -61*w + 127]', '[6197, 6197, 51*w - 97]', '[6211, 6211, 13*w - 85]', '[6211, 6211, -13*w - 85]', '[6217, 6217, 2*w - 79]', '[6217, 6217, -2*w - 79]', '[6221, 6221, 45*w - 77]', '[6221, 6221, -71*w + 155]', '[6241, 79, -79]', '[6263, 6263, -38*w - 49]', '[6263, 6263, 38*w - 49]', '[6269, 6269, 55*w - 109]', '[6269, 6269, -57*w + 115]', '[6287, 6287, 44*w - 73]', '[6287, 6287, -74*w + 163]', '[6311, 6311, -34*w - 25]', '[6311, 6311, 34*w - 25]', '[6317, 6317, -39*w - 53]', '[6317, 6317, 39*w - 53]', '[6337, 6337, 18*w - 91]', '[6337, 6337, -18*w - 91]', '[6359, 6359, 80*w - 179]', '[6359, 6359, 42*w - 65]', '[6361, 6361, 12*w - 85]', '[6361, 6361, -12*w - 85]', '[6379, 6379, 21*w - 95]', '[6379, 6379, -21*w - 95]', '[6389, 6389, 35*w - 31]', '[6389, 6389, -35*w - 31]', '[6427, 6427, -57*w + 161]', '[6427, 6427, -37*w + 121]', '[6451, 6451, 25*w - 101]', '[6451, 6451, -25*w - 101]', '[6481, 6481, -68*w + 185]', '[6481, 6481, -30*w + 109]', '[6529, 6529, -54*w + 155]', '[6529, 6529, -40*w + 127]', '[6547, 6547, 17*w - 91]', '[6547, 6547, -17*w - 91]', '[6551, 6551, 36*w - 35]', '[6551, 6551, -36*w - 35]', '[6553, 6553, -26*w - 103]', '[6553, 6553, 26*w - 103]', '[6571, 6571, -15*w - 89]', '[6571, 6571, 15*w - 89]', '[6577, 6577, -42*w + 131]', '[6577, 6577, -52*w + 151]', '[6581, 6581, 51*w - 95]', '[6581, 6581, -65*w + 137]', '[6599, 6599, -70*w + 151]', '[6599, 6599, 48*w - 85]', '[6619, 6619, -49*w + 145]', '[6619, 6619, -45*w + 137]', '[6653, 6653, -63*w + 131]', '[6653, 6653, 53*w - 101]', '[6673, 6673, -6*w - 83]', '[6673, 6673, 6*w - 83]', '[6691, 6691, -65*w + 179]', '[6691, 6691, -33*w + 115]', '[6701, 6701, -61*w + 125]', '[6701, 6701, 55*w - 107]', '[6719, 6719, -68*w + 145]', '[6719, 6719, 50*w - 91]', '[6763, 6763, -21*w - 97]', '[6763, 6763, 21*w - 97]', '[6791, 6791, 40*w - 53]', '[6791, 6791, -40*w - 53]', '[6793, 6793, -4*w - 83]', '[6793, 6793, 4*w - 83]', '[6841, 6841, -8*w - 85]', '[6841, 6841, 8*w - 85]', '[6863, 6863, 42*w - 61]', '[6863, 6863, 88*w - 199]', '[6869, 6869, 85*w - 191]', '[6869, 6869, 43*w - 65]', '[6883, 6883, -w - 83]', '[6883, 6883, w - 83]', '[6889, 83, -83]', '[6907, 6907, 13*w - 89]', '[6907, 6907, -13*w - 89]', '[6911, 6911, -34*w - 5]', '[6911, 6911, 34*w - 5]', '[6917, 6917, -39*w - 47]', '[6917, 6917, 39*w - 47]', '[6959, 6959, 58*w - 115]', '[6959, 6959, -60*w + 121]', '[6961, 6961, -38*w + 125]', '[6961, 6961, -60*w + 169]', '[6983, 6983, -38*w - 41]', '[6983, 6983, 38*w - 41]', '[7013, 7013, 47*w - 79]', '[7013, 7013, -77*w + 169]', '[7027, 7027, -23*w - 101]', '[7027, 7027, 23*w - 101]', '[7057, 7057, 12*w - 89]', '[7057, 7057, -12*w - 89]', '[7079, 7079, -72*w + 155]', '[7079, 7079, 50*w - 89]', '[7103, 7103, -42*w - 59]', '[7103, 7103, 42*w - 59]', '[7109, 7109, 45*w - 71]', '[7109, 7109, 83*w - 185]', '[7127, 7127, 44*w - 67]', '[7127, 7127, 86*w - 193]', '[7129, 7129, 4*w - 85]', '[7129, 7129, -4*w - 85]', '[7151, 7151, -36*w - 25]', '[7151, 7151, 36*w - 25]', '[7177, 7177, 28*w - 109]', '[7177, 7177, -28*w - 109]', '[7219, 7219, -w - 85]', '[7219, 7219, w - 85]', '[7229, 7229, -35*w - 11]', '[7229, 7229, 35*w - 11]', '[7243, 7243, -19*w - 97]', '[7243, 7243, 19*w - 97]', '[7247, 7247, -36*w - 23]', '[7247, 7247, 36*w - 23]', '[7253, 7253, -37*w - 31]', '[7253, 7253, 37*w - 31]', '[7297, 7297, -22*w - 101]', '[7297, 7297, 22*w - 101]', '[7321, 7321, -10*w - 89]', '[7321, 7321, 10*w - 89]', '[7349, 7349, -35*w - 1]', '[7349, 7349, 35*w - 1]', '[7369, 7369, -76*w + 205]', '[7369, 7369, -30*w + 113]', '[7393, 7393, -26*w + 107]', '[7393, 7393, 84*w - 223]', '[7411, 7411, -37*w + 125]', '[7411, 7411, -65*w + 181]', '[7417, 7417, -12*w - 91]', '[7417, 7417, 12*w - 91]', '[7459, 7459, -75*w + 203]', '[7459, 7459, -31*w + 115]', '[7487, 7487, -36*w - 17]', '[7487, 7487, 36*w - 17]', '[7489, 7489, -16*w - 95]', '[7489, 7489, 16*w - 95]', '[7507, 7507, 27*w - 109]', '[7507, 7507, -27*w - 109]', '[7517, 7517, -79*w + 173]', '[7517, 7517, 49*w - 83]', '[7537, 7537, 8*w - 89]', '[7537, 7537, -8*w - 89]', '[7541, 7541, 55*w - 103]', '[7541, 7541, -69*w + 145]', '[7559, 7559, -42*w - 55]', '[7559, 7559, 42*w - 55]', '[7561, 7561, -40*w + 131]', '[7561, 7561, -62*w + 175]', '[7583, 7583, 48*w - 79]', '[7583, 7583, -82*w + 181]', '[7589, 7589, -37*w - 25]', '[7589, 7589, 37*w - 25]', '[7603, 7603, -61*w + 173]', '[7603, 7603, -41*w + 133]', '[7607, 7607, 36*w - 13]', '[7607, 7607, -36*w - 13]', '[7681, 7681, 10*w - 91]', '[7681, 7681, -10*w - 91]', '[7699, 7699, 89*w - 235]', '[7699, 7699, -25*w + 107]', '[7703, 7703, 38*w - 31]', '[7703, 7703, -38*w - 31]', '[7723, 7723, -29*w - 113]', '[7723, 7723, 29*w - 113]', '[7727, 7727, 36*w - 7]', '[7727, 7727, -36*w - 7]', '[7753, 7753, -56*w + 163]', '[7753, 7753, -46*w + 143]', '[7757, 7757, -39*w - 37]', '[7757, 7757, 39*w - 37]', '[7823, 7823, 38*w - 29]', '[7823, 7823, -38*w - 29]', '[7829, 7829, -75*w + 161]', '[7829, 7829, 53*w - 95]', '[7853, 7853, -37*w - 19]', '[7853, 7853, 37*w - 19]', '[7867, 7867, -3*w - 89]', '[7867, 7867, 3*w - 89]', '[7873, 7873, 16*w - 97]', '[7873, 7873, -16*w - 97]', '[7877, 7877, -41*w - 47]', '[7877, 7877, 41*w - 47]', '[7901, 7901, 39*w - 35]', '[7901, 7901, -39*w - 35]', '[7919, 7919, -40*w - 41]', '[7919, 7919, 40*w - 41]', '[7921, 89, -89]', '[7949, 7949, -73*w + 155]', '[7949, 7949, 55*w - 101]', '[7963, 7963, 21*w - 103]', '[7963, 7963, -21*w - 103]', '[7993, 7993, 24*w - 107]', '[7993, 7993, -24*w - 107]', '[8011, 8011, -13*w - 95]', '[8011, 8011, 13*w - 95]', '[8017, 8017, -32*w + 119]', '[8017, 8017, -78*w + 211]', '[8039, 8039, 38*w - 25]', '[8039, 8039, -38*w - 25]', '[8059, 8059, -15*w - 97]', '[8059, 8059, 15*w - 97]', '[8069, 8069, -43*w - 55]', '[8069, 8069, 43*w - 55]', '[8087, 8087, 54*w - 97]', '[8087, 8087, -76*w + 163]', '[8089, 8089, -66*w + 185]', '[8089, 8089, -40*w + 133]', '[8093, 8093, 37*w - 11]', '[8093, 8093, -37*w - 11]', '[8111, 8111, 50*w - 83]', '[8111, 8111, -84*w + 185]', '[8117, 8117, 59*w - 113]', '[8117, 8117, -69*w + 143]', '[8161, 8161, -12*w - 95]', '[8161, 8161, 12*w - 95]', '[8179, 8179, -29*w - 115]', '[8179, 8179, 29*w - 115]', '[8209, 8209, 20*w - 103]', '[8209, 8209, -20*w - 103]', '[8231, 8231, -40*w - 37]', '[8231, 8231, 40*w - 37]', '[8233, 8233, -14*w - 97]', '[8233, 8233, 14*w - 97]', '[8237, 8237, 41*w - 43]', '[8237, 8237, -41*w - 43]', '[8329, 8329, -60*w + 173]', '[8329, 8329, -46*w + 145]', '[8353, 8353, -74*w + 203]', '[8353, 8353, -36*w + 127]', '[8377, 8377, -58*w + 169]', '[8377, 8377, -48*w + 149]', '[8419, 8419, -55*w + 163]', '[8419, 8419, -51*w + 155]', '[8423, 8423, 62*w - 121]', '[8423, 8423, -68*w + 139]', '[8429, 8429, 45*w - 61]', '[8429, 8429, -45*w - 61]', '[8443, 8443, -19*w - 103]', '[8443, 8443, 19*w - 103]', '[8447, 8447, 64*w - 127]', '[8447, 8447, -66*w + 133]', '[8467, 8467, -17*w - 101]', '[8467, 8467, 17*w - 101]', '[8501, 8501, 39*w - 25]', '[8501, 8501, -39*w - 25]', '[8521, 8521, 90*w - 239]', '[8521, 8521, -28*w + 115]', '[8539, 8539, 9*w - 95]', '[8539, 8539, -9*w - 95]', '[8543, 8543, -38*w - 11]', '[8543, 8543, 38*w - 11]', '[8563, 8563, -71*w + 197]', '[8563, 8563, -39*w + 133]', '[8573, 8573, -83*w + 181]', '[8573, 8573, 53*w - 91]', '[8597, 8597, -39*w - 23]', '[8597, 8597, 39*w - 23]', '[8641, 8641, -8*w - 95]', '[8641, 8641, 8*w - 95]', '[8663, 8663, -38*w - 1]', '[8663, 8663, 38*w - 1]', '[8669, 8669, 45*w - 59]', '[8669, 8669, -45*w - 59]', '[8689, 8689, -34*w + 125]', '[8689, 8689, -80*w + 217]', '[8693, 8693, 43*w - 49]', '[8693, 8693, -43*w - 49]', '[8707, 8707, -23*w - 109]', '[8707, 8707, 23*w - 109]', '[8713, 8713, 26*w - 113]', '[8713, 8713, -26*w - 113]', '[8731, 8731, 7*w - 95]', '[8731, 8731, -7*w - 95]', '[8737, 8737, -42*w + 139]', '[8737, 8737, -68*w + 191]', '[8741, 8741, 55*w - 97]', '[8741, 8741, -81*w + 175]', '[8761, 8761, -30*w - 119]', '[8761, 8761, 30*w - 119]', '[8779, 8779, -35*w + 127]', '[8779, 8779, -79*w + 215]', '[8783, 8783, 98*w - 221]', '[8783, 8783, 48*w - 71]', '[8803, 8803, -21*w - 107]', '[8803, 8803, 21*w - 107]', '[8807, 8807, -44*w - 53]', '[8807, 8807, 44*w - 53]', '[8831, 8831, -74*w + 155]', '[8831, 8831, 60*w - 113]', '[8837, 8837, 39*w - 17]', '[8837, 8837, -39*w - 17]', '[8861, 8861, 41*w - 35]', '[8861, 8861, -41*w - 35]', '[8923, 8923, 9*w - 97]', '[8923, 8923, -9*w - 97]', '[8929, 8929, -4*w - 95]', '[8929, 8929, 4*w - 95]', '[8933, 8933, 53*w - 89]', '[8933, 8933, -87*w + 191]', '[8951, 8951, -70*w + 143]', '[8951, 8951, 64*w - 125]', '[8971, 8971, -3*w - 95]', '[8971, 8971, 3*w - 95]', '[8999, 8999, 52*w - 85]', '[8999, 8999, -90*w + 199]', '[9001, 9001, 2*w - 95]', '[9001, 9001, -2*w - 95]', '[9029, 9029, 47*w - 65]', '[9029, 9029, -47*w - 65]', '[9043, 9043, -51*w + 157]', '[9043, 9043, -59*w + 173]', '[9049, 9049, 20*w - 107]', '[9049, 9049, -20*w - 107]', '[9067, 9067, -57*w + 169]', '[9067, 9067, -53*w + 161]', '[9091, 9091, -33*w + 125]', '[9091, 9091, -85*w + 229]', '[9173, 9173, -73*w + 151]', '[9173, 9173, 63*w - 121]', '[9187, 9187, 13*w - 101]', '[9187, 9187, -13*w - 101]', '[9221, 9221, 65*w - 127]', '[9221, 9221, -71*w + 145]', '[9239, 9239, -40*w - 19]', '[9239, 9239, 40*w - 19]', '[9241, 9241, 30*w - 121]', '[9241, 9241, -30*w - 121]', '[9283, 9283, 19*w - 107]', '[9283, 9283, -19*w - 107]', '[9293, 9293, 57*w - 101]', '[9293, 9293, -83*w + 179]', '[9311, 9311, 40*w - 17]', '[9311, 9311, -40*w - 17]', '[9337, 9337, 12*w - 101]', '[9337, 9337, -12*w - 101]', '[9341, 9341, -45*w - 53]', '[9341, 9341, 45*w - 53]', '[9403, 9403, -w - 97]', '[9403, 9403, w - 97]', '[9413, 9413, -43*w - 41]', '[9413, 9413, 43*w - 41]', '[9431, 9431, 40*w - 13]', '[9431, 9431, -40*w - 13]', '[9433, 9433, 14*w - 103]', '[9433, 9433, -14*w - 103]', '[9437, 9437, -81*w + 173]', '[9437, 9437, 59*w - 107]', '[9461, 9461, 41*w - 25]', '[9461, 9461, -41*w - 25]', '[9479, 9479, -40*w - 11]', '[9479, 9479, 40*w - 11]', '[9533, 9533, 47*w - 61]', '[9533, 9533, -47*w - 61]', '[9547, 9547, -67*w + 191]', '[9547, 9547, -47*w + 151]', '[9551, 9551, 40*w - 7]', '[9551, 9551, -40*w - 7]', '[9601, 9601, 10*w - 101]', '[9601, 9601, -10*w - 101]', '[9619, 9619, -65*w + 187]', '[9619, 9619, -49*w + 155]', '[9623, 9623, -42*w - 31]', '[9623, 9623, 42*w - 31]', '[9629, 9629, 95*w - 211]', '[9629, 9629, 53*w - 85]', '[9643, 9643, -39*w + 137]', '[9643, 9643, -79*w + 217]', '[9649, 9649, -64*w + 185]', '[9649, 9649, -50*w + 157]', '[9677, 9677, 101*w - 227]', '[9677, 9677, 51*w - 77]', '[9697, 9697, -52*w + 161]', '[9697, 9697, -62*w + 181]', '[9719, 9719, 60*w - 109]', '[9719, 9719, -82*w + 175]', '[9721, 9721, -40*w + 139]', '[9721, 9721, -78*w + 215]', '[9739, 9739, -59*w + 175]', '[9739, 9739, -55*w + 167]', '[9743, 9743, 42*w - 29]', '[9743, 9743, -42*w - 29]', '[9749, 9749, 45*w - 49]', '[9749, 9749, -45*w - 49]', '[9767, 9767, 44*w - 43]', '[9767, 9767, -44*w - 43]', '[9769, 9769, -24*w - 115]', '[9769, 9769, 24*w - 115]', '[9787, 9787, 27*w - 119]', '[9787, 9787, -27*w - 119]', '[9791, 9791, -90*w + 197]', '[9791, 9791, 56*w - 95]', '[9811, 9811, -87*w + 235]', '[9811, 9811, -35*w + 131]', '[9817, 9817, -8*w - 101]', '[9817, 9817, 8*w - 101]', '[9839, 9839, 62*w - 115]', '[9839, 9839, -80*w + 169]', '[9859, 9859, 31*w - 125]', '[9859, 9859, -31*w - 125]', '[9883, 9883, 11*w - 103]', '[9883, 9883, -11*w - 103]', '[9887, 9887, 46*w - 53]', '[9887, 9887, -46*w - 53]', '[9907, 9907, -7*w - 101]', '[9907, 9907, 7*w - 101]', '[9931, 9931, -75*w + 209]', '[9931, 9931, -43*w + 145]', '[9941, 9941, 45*w - 47]', '[9941, 9941, -45*w - 47]']}
• 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': [], 'class_number': 1, 'cm': False, 'coeffs': [-6, 0, 1], 'conductor': 24, 'degree': 2, 'dirichlet_group': [1, 11], 'disc_abs': 24, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [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': 4.898979485566356, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.24.1', 'local_algs': ['2.1.2.3a1.2', '3.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 4.89897948557, 'regulator': {'__RealLiteral__': 0, 'data': '2.29243166956', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 5 \\)'], 'used_grh': False, 'zk': ['1', 'a']}