Hilbert modular form data - 2.2.44.1-100.1-b

Formats: - HTML - YAML - JSON - 2026-02-09T11:17:34.075217

• 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': 44, 'field_bad_primes': [2, 11], 'field_label': '2.2.44.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.44.1-100.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 5], 'level_ideal': '[100, 10, 10]', 'level_label': '100.1', 'level_norm': 100, 'parallel_weight': 2, 'short_label': '100.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 3]', -1], ['[5, 5, w - 4]', 1], ['[5, 5, -w - 4]', 1]], 'hecke_eigenvalues': [0, -1, -1, -2, -2, -2, 0, 4, 4, 2, 2, 10, 10, -6, -6, -8, -8, -6, -6, -6, -6, 2, 2, 6, 6, -6, -6, -2, -2, 0, 0, 18, 18, 4, 4, -20, -20, -22, -22, -18, -18, -22, -10, -10, 16, 16, 6, 6, 14, 14, 24, 24, -6, -6, 18, 18, 18, 18, -20, -20, -14, -14, 2, -2, -2, -22, -22, -6, -6, 30, 30, 18, 18, -24, -24, -6, -6, 2, 2, -30, -30, 26, 26, -36, -36, 2, 2, -8, -8, 6, 6, 24, 24, 0, 0, 18, 18, 6, 6, -6, -6, -14, -14, -10, -26, -26, 18, 18, -8, -8, -22, -22, 22, 22, -6, -6, -18, -18, 42, 42, -36, -36, -22, -22, -34, -34, -20, -20, -6, -6, -22, -22, -30, -30, -26, -26, 42, 42, 16, 16, 30, 30, 2, 2, -22, -18, -18, -18, -18, 16, 16, -42, -42, -46, 22, 22, 18, 18, 18, 18, -36, -36, 14, 14, -12, -12, 42, 42, -8, -8, 54, 54, 10, 10, -48, -48, -22, -22, 30, 30, -12, -12, -22, -22, -54, -54, -30, -30, 6, 6, -6, -6, 26, 26, -30, -30, 28, 28, -22, -22, -6, -6, -30, -30, 42, 42, 48, 48, -10, -10, -50, -50, 18, 18, -32, -32, 18, 18, 54, 54, -30, -30, 22, 22, 24, 24, -46, -46, 52, 52, -68, -68, 30, 30, -58, -58, 64, 64, -10, -10, -24, -24, 4, 4, -78, -78, 14, 14, -12, -12, -58, -58, 46, 46, 42, 42, -38, -38, -42, -42, -46, 42, 42, 6, 6, 42, 42, 58, 58, 62, 62, 26, 26, 16, 16, 48, 48, 42, 42, -42, -42, -74, -74, 26, 26, 18, 18, -48, -48, -78, -78, 60, 60, 46, 46, 88, 88, 2, 2, -10, -10, -54, -54, 30, 30, 30, 30, -12, -12, 26, 26, -8, -8, 2, 2, -34, -34, 54, 54, -58, 42, 42, 40, 40, 42, 42, 16, 16, 50, 50, 86, 86, -2, -2, 2, 2, 42, 42, 18, 18, -12, -12, -70, -70, 36, 36, 18, 18, -80, -80, 74, 74, -78, -78, -62, -62, 72, 72, 36, 36, 74, 74, 34, 34, -78, -78, 76, 76, 50, 50, -12, -12, -18, -18, -78, -78, -74, -74, 4, 4, 50, 50, -38, -38, -10, -10, 42, 42, -8, -8, -6, -6, 90, 90, 22, 22, 18, 18, -20, -20, -70, -70, -32, -32, -66, -66, -96, -96, -30, -30, -6, -6, -30, -30, -60, -60, 74, 74, -102, -102, 24, 24, -70, -70, 48, 48, -22, -22, 30, 30, 74, 74, 64, 64, -30, -30, 72, 72, -14, -14, -66, -66, 50, 50, -2, -2, -54, -54, 50, 50, 42, 42, -24, -24, 18, 18, 108, 108, 38, 38, 46, 46, -8, -8, -86, -86, -90, -90, -18, -18, -102, -102, 26, 26, -70, -70, -18, -18, -10, -10, 26, -68, -68, -18, -18, -22, -22, -12, -12, 42, 42, -8, -8, 88, 88, 106, 106, 118, 118, 50, 50, 42, 42, 34, 34, -60, -60, -12, -12, 18, 18, 88, 88, -46, -46, 42, 42, -118, -94, -94, 76, 76, -36, -36, -22, -22, 18, 18, 30, 30, 10, 10, -54, -54, -26, -26, -46, -46, 66, 66, -22, -22, -6, -6, 22, 22, 60, 60, -78, -78, -54, -54, -122, -122, 34, 34, 42, 42, 66, 66, 26, 26, 66, 66, 24, 24, 26, 26, -44, -44, -20, -20, 54, 54, -10, -10, -30, -30, 76, 76, 30, 30, 28, 28, 106, 106, 36, 36, -70, -70, -46, -46, 66, 66, 18, 18, 2, 2, 106, 106, 60, 60, -66, -66, -96, -96, -6, -6, -114, -114, 106, 106, -130, 42, 42, -26, -26, -22, -22, -6, -6, 22, 22, -6, -6, -82, -82, 16, 16, 122, 122, 34, 34, -54, -54, -126, -126, -78, -78, 84, 84, 64, 64, 78, 78, 110, 110, -130, -130, -44, -44, -126, -126, 78, 78, 10, 10, -94, -94, 48, 48, 122, 122, 114, 114, 54, 54, 42, 42, -78, -78, -80, -80, 78, 78, 106, 106, 2, -24, -24, -116, -116, 84, 84, -70, -70, -138, -138, -78, -78, 70, 70, 122, 122, -122, -122, -60, -60, 42, 42, 78, 78, -6, -6, 96, 96, 50, 50, 130, 130, -142, -54, -54, 102, 102, -6, -6, 46, 46, 50, 50, -54, -54, 52, 52, -44, -44, -70, -70, 14, 14, -126, -126, -66, -66, 48, 48, -86, -86, 134, 134, -142, -142, -38, -38, 0, 0, -10, -10, 72, 72, 90, 90, 30, 30, 34, 34, -70, -70, 108, 108, 66, 66, 54, 54, -114, -114, 42, 42, -2, -2, 66, 66, -56, -56, 50, 50, -42, -42, -78, -78, 138, 138, -60, -60, 66, 66, -46, -46, 6, 6, -6, -6, 118, 118, 50, 50, -32, -32, 64, 64, -58, -58, 4, 4, -102, -102, 40, 40, 18, 18, -80, -80, -70, -70, 94, 94, 42, 42, 150, 150, -108, -108, 2, 2, -60, -60, -102, -102, 30, 30, 98, 98, -86, -86, -118, -118, 146, 146, -44, -44, 78, 78, -90, -90, -70, -70, -30, -30, -6, -6, -122, -122, 84, 84, -150, -150, 6, 6, -48, -48, -2, -2, 100, 100, 98, 98, -54, -54, 16, 16, -138, -138, -46, -46, -126, -126, 98, 98, 54, 54, 2, 2, 42, 42, 114, 114, 126, 126, 52, 52, -86, -86, -60, -60, -50, -50, 66, 66, 54, 54, -24, -24, 50, 50, 0, 0, -78, -78, 52, 52, 50, 50, 6, 6, -56, -56, 0, 0, -102, -102, -54, -54, -66, -66, -66, -66, -34, -34, -142, -142, 22, 22, -120, -120, -30, -30, -118, -118, 134, 134, 78, 78, 26, 26, 16, 16, 74, 74, -42, -42, 6, 6, 86, 86, 36, 36, 90, 90, 114, 114, 30, 30, 134, 134, 96, 96, -58, -58, -166, -166, -150, -150, 154, 154, -90, -90, 26, 26, -30, -30, 110, 110, -120, -120, -140, -140, -94, -94, -94, -94, -6, -6, -6, -6, -30, -30, -2, -2, 42, 42, 114, 114, -30, -30, 120, 120, -26, -26, 82, 82, -150, -150, -142, -142, 74, 74, 4, 4, -90, -90, 62, 62, 38, 38, 102, 102, -140, -140, -92, -92, 50, 50, -60, -60, 158, 158, -94, -94, -102, -102, -14, -14, 162, 162, 0, 0, 18, 18, 124, 124, -70, -70, -70, -70, 114, 114, 138, 138, -30, -30, 10, 10, -42, -42, -2, -2, -54, -54, -122, -122, 18, 18, 66, 66, -30, -30, 122, 122, -104, -104, -14, -14, -118, -118, -126, -126, 54, 54, 2, 2, 90, 90, -50, -50, -70, -70, -80, -80, 136, 136, -118, -118, 102, 102, -58, -58, 30, 30, -108, -108, -78, -78, -176, -176, 162, 162, -62, -62, -2, -2, 74, 74, -14, -14, -6, -6, -130, -130, 132, 132, 90, 90, -32, -32, 170, 170, 24, 24, -22, -22, -66, -66, -132, -132, -38, -38, -178, -178, -146, -146, 26, 26, 28, 28, -142, -142, 150, 150, 46, 46, -6, -6, -102, -102, -120, -120, 182, 182, -46, -46, -14, -14, 18, 18, -8, -8, -150, -150, 50, 50, -120, -120, -102, -102, -164, -164, 170, 170, 146, 146, -150, -150, -18, -18, 120, 120, 90, 90, 100, 100, 84, 84, -194, -194, 30, 30, -130, -130, -42, -42, -92, -92, 10, 10, -82, -82, 40, 40, -150, -150, -144, -144, -46, -46, -78, -78, 78, 78, -66, -66, -70, -70, 166, 166, -126, -126, -56, -56, 170, 170, 48, 48, -78, -78, 110, 110, 142, 142, -46, -46], 'hecke_polynomial': 'x', 'label': '2.2.44.1-100.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 44, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 3]', '[4, 2, 2]', '[5, 5, w - 4]', '[5, 5, -w - 4]', '[7, 7, w + 2]', '[7, 7, w - 2]', '[8, 4, -2*w + 6]', '[9, 3, 3]', '[10, 10, w + 1]', '[10, 10, w - 1]', '[11, 11, -w]', '[14, 14, -w - 5]', '[14, 14, w - 5]', '[16, 4, 4]', '[18, 6, -3*w + 9]', '[19, 19, 2*w - 5]', '[19, 19, -2*w - 5]', '[20, 10, 2*w - 8]', '[20, 10, -2*w - 8]', '[22, 22, -3*w + 11]', '[25, 5, 5]', '[25, 25, w + 6]', '[25, 25, -w + 6]', '[28, 14, 2*w + 4]', '[28, 14, 2*w - 4]', '[32, 8, -4*w + 12]', '[35, 35, -3*w + 8]', '[35, 35, -2*w + 3]', '[35, 35, -2*w - 3]', '[35, 35, -3*w - 8]', '[36, 6, 6]', '[37, 37, 2*w - 9]', '[37, 37, -2*w - 9]', '[38, 38, -w - 7]', '[38, 38, -w + 7]', '[40, 20, 2*w + 2]', '[40, 20, 2*w - 2]', '[43, 43, 2*w - 1]', '[43, 43, -2*w - 1]', '[44, 22, -2*w]', '[45, 15, 3*w - 12]', '[45, 15, -3*w - 12]', '[49, 7, 7]', '[49, 49, 4*w + 15]', '[49, 49, -4*w + 15]', '[50, 10, -5*w + 15]', '[50, 50, -3*w - 7]', '[50, 50, -3*w + 7]', '[53, 53, -w - 8]', '[53, 53, w - 8]', '[55, 55, 4*w - 11]', '[55, 55, 4*w + 11]', '[56, 28, -2*w - 10]', '[56, 28, 2*w - 10]', '[63, 21, 3*w + 6]', '[63, 21, 3*w - 6]', '[64, 8, 8]', '[70, 70, w + 9]', '[70, 70, -3*w + 13]', '[70, 70, 3*w + 13]', '[70, 70, -w + 9]', '[72, 12, -6*w + 18]', '[74, 74, 3*w - 5]', '[74, 74, 15*w - 49]', '[76, 38, 4*w - 10]', '[76, 38, -4*w - 10]', '[77, 77, 2*w - 11]', '[77, 77, -2*w - 11]', '[79, 79, 5*w - 14]', '[79, 79, 8*w - 25]', '[80, 20, 4*w - 16]', '[80, 20, -4*w - 16]', '[81, 9, 9]', '[83, 83, -3*w - 4]', '[83, 83, 3*w - 4]', '[86, 86, 7*w - 25]', '[86, 86, -5*w + 19]', '[88, 44, -6*w + 22]', '[89, 89, -w - 10]', '[89, 89, w - 10]', '[90, 30, 3*w + 3]', '[90, 30, 3*w - 3]', '[95, 95, -4*w - 9]', '[95, 95, 3*w - 2]', '[95, 95, -3*w - 2]', '[95, 95, 4*w - 9]', '[97, 97, -3*w - 14]', '[97, 97, 3*w - 14]', '[98, 14, -7*w + 21]', '[98, 98, -3*w - 1]', '[98, 98, -3*w + 1]', '[99, 33, -3*w]', '[100, 10, 10]', '[100, 50, 2*w + 12]', '[100, 50, -2*w + 12]', '[106, 106, 11*w - 35]', '[106, 106, 5*w - 13]', '[107, 107, 6*w - 17]', '[107, 107, 9*w - 28]', '[110, 110, -w - 11]', '[110, 110, w - 11]', '[112, 28, 4*w + 8]', '[112, 28, 4*w - 8]', '[113, 113, -4*w + 17]', '[113, 113, 11*w - 38]', '[121, 11, 11]', '[125, 25, 5*w - 20]', '[125, 25, -5*w - 20]', '[125, 125, 2*w - 13]', '[125, 125, -2*w - 13]', '[126, 42, -3*w - 15]', '[126, 42, 3*w - 15]', '[127, 127, 4*w - 7]', '[127, 127, -4*w - 7]', '[128, 16, -8*w + 24]', '[131, 131, 5*w - 12]', '[131, 131, 14*w - 45]', '[133, 133, -w - 12]', '[133, 133, 6*w + 23]', '[133, 133, 6*w - 23]', '[133, 133, -w + 12]', '[137, 137, -7*w + 26]', '[137, 137, 8*w - 29]', '[139, 139, 7*w - 20]', '[139, 139, 10*w - 31]', '[140, 70, -6*w + 16]', '[140, 70, -4*w + 6]', '[140, 70, -4*w - 6]', '[140, 70, -6*w - 16]', '[144, 12, 12]', '[148, 74, 4*w - 18]', '[148, 74, -4*w - 18]', '[151, 151, -4*w - 5]', '[151, 151, 4*w - 5]', '[152, 76, -2*w - 14]', '[152, 76, -2*w + 14]', '[154, 154, 5*w + 11]', '[154, 154, 5*w - 11]', '[157, 157, 3*w - 16]', '[157, 157, -3*w - 16]', '[158, 158, -w - 13]', '[158, 158, w - 13]', '[160, 40, 4*w + 4]', '[160, 40, 4*w - 4]', '[162, 18, -9*w + 27]', '[166, 166, -5*w + 21]', '[166, 166, 13*w - 45]', '[167, 167, 4*w - 3]', '[167, 167, -4*w - 3]', '[169, 13, -13]', '[171, 57, 6*w - 15]', '[171, 57, -6*w - 15]', '[172, 86, 4*w - 2]', '[172, 86, -4*w - 2]', '[175, 35, 5*w + 10]', '[175, 35, 5*w - 10]', '[175, 175, 8*w - 23]', '[175, 175, 4*w + 1]', '[175, 175, 4*w - 1]', '[175, 175, 8*w + 23]', '[176, 44, -4*w]', '[178, 178, 13*w - 41]', '[178, 178, 7*w - 19]', '[180, 30, 6*w - 24]', '[180, 30, -6*w - 24]', '[181, 181, 2*w - 15]', '[181, 181, -2*w - 15]', '[185, 185, w + 14]', '[185, 185, -17*w + 58]', '[185, 185, 17*w + 58]', '[185, 185, -w + 14]', '[190, 190, -7*w - 27]', '[190, 190, -3*w - 17]', '[190, 190, -3*w + 17]', '[190, 190, -7*w + 27]', '[194, 194, 5*w - 9]', '[194, 194, 23*w - 75]', '[196, 14, 14]', '[196, 98, 8*w + 30]', '[196, 98, -8*w + 30]', '[198, 66, -9*w + 33]', '[200, 20, -10*w + 30]', '[200, 100, -6*w - 14]', '[200, 100, -6*w + 14]', '[209, 209, 5*w + 22]', '[209, 209, 5*w - 22]', '[211, 211, -5*w - 8]', '[211, 211, 5*w - 8]', '[212, 106, -2*w - 16]', '[212, 106, 2*w - 16]', '[214, 214, -w - 15]', '[214, 214, w - 15]', '[215, 215, -9*w + 26]', '[215, 215, -7*w - 18]', '[215, 215, 7*w - 18]', '[215, 215, 9*w + 26]', '[220, 110, 8*w - 22]', '[220, 110, 8*w + 22]', '[224, 56, -4*w - 20]', '[224, 56, 4*w - 20]', '[225, 15, 15]', '[225, 75, 3*w + 18]', '[225, 75, -3*w + 18]', '[226, 226, 5*w - 7]', '[226, 226, -5*w - 7]', '[227, 227, -6*w - 13]', '[227, 227, 6*w - 13]', '[229, 229, -6*w + 25]', '[229, 229, 15*w - 52]', '[239, 239, -5*w - 6]', '[239, 239, 5*w - 6]', '[242, 22, -11*w + 33]', '[245, 35, 7*w - 28]', '[245, 35, -7*w - 28]', '[245, 245, -w - 16]', '[245, 245, 2*w - 17]', '[245, 245, -2*w - 17]', '[245, 245, w - 16]', '[250, 50, 5*w + 5]', '[250, 50, 5*w - 5]', '[250, 250, 7*w - 17]', '[250, 250, 7*w + 17]', '[252, 42, 6*w + 12]', '[252, 42, 6*w - 12]', '[254, 254, -5*w + 23]', '[254, 254, 19*w - 65]', '[256, 16, 16]', '[257, 257, 13*w - 46]', '[257, 257, -8*w + 31]', '[259, 259, -13*w - 40]', '[259, 259, -5*w + 4]', '[259, 259, -5*w - 4]', '[259, 259, -13*w + 40]', '[262, 262, 3*w - 19]', '[262, 262, -3*w - 19]', '[263, 263, 8*w - 21]', '[263, 263, 17*w - 54]', '[265, 265, -4*w + 21]', '[265, 265, 12*w + 43]', '[265, 265, -12*w + 43]', '[265, 265, 4*w + 21]', '[266, 266, 5*w + 3]', '[266, 266, -9*w - 25]', '[266, 266, 9*w - 25]', '[266, 266, -5*w + 3]', '[269, 269, -10*w + 37]', '[269, 269, 11*w - 40]', '[271, 271, 5*w - 2]', '[271, 271, -5*w - 2]', '[274, 274, -5*w - 1]', '[274, 274, 5*w - 1]', '[275, 55, -5*w]', '[275, 275, -6*w + 11]', '[275, 275, -6*w - 11]', '[278, 278, -w - 17]', '[278, 278, w - 17]', '[280, 140, 2*w + 18]', '[280, 140, -6*w + 26]', '[280, 140, 6*w + 26]', '[280, 140, -2*w + 18]', '[283, 283, 7*w - 16]', '[283, 283, -7*w - 16]', '[288, 24, -12*w + 36]', '[289, 17, -17]', '[296, 148, 6*w - 10]', '[296, 148, 30*w - 98]', '[301, 301, -5*w - 24]', '[301, 301, 3*w + 20]', '[301, 301, 3*w - 20]', '[301, 301, -5*w + 24]', '[302, 302, -7*w + 29]', '[302, 302, 17*w - 59]', '[304, 76, 8*w - 20]', '[304, 76, -8*w - 20]', '[307, 307, 11*w - 32]', '[307, 307, 14*w - 43]', '[308, 154, 4*w - 22]', '[308, 154, -4*w - 22]', '[313, 313, -w - 18]', '[313, 313, w - 18]', '[314, 314, 25*w - 81]', '[314, 314, 7*w - 15]', '[315, 105, -9*w + 24]', '[315, 105, -6*w + 9]', '[315, 105, -6*w - 9]', '[315, 105, -9*w - 24]', '[316, 158, 10*w - 28]', '[316, 158, 16*w - 50]', '[317, 317, 2*w - 19]', '[317, 317, -2*w - 19]', '[320, 40, 8*w - 32]', '[320, 40, -8*w - 32]', '[324, 18, 18]', '[332, 166, -6*w - 8]', '[332, 166, 6*w - 8]', '[333, 111, 6*w - 27]', '[333, 111, -6*w - 27]', '[334, 334, 15*w - 53]', '[334, 334, -9*w + 35]', '[338, 26, 13*w - 39]', '[342, 114, -3*w - 21]', '[342, 114, -3*w + 21]', '[343, 49, 7*w + 14]', '[343, 49, 7*w - 14]', '[343, 343, 8*w + 19]', '[343, 343, 8*w - 19]', '[344, 172, 14*w - 50]', '[344, 172, -10*w + 38]', '[347, 347, -6*w - 7]', '[347, 347, 6*w - 7]', '[350, 70, -5*w - 25]', '[350, 70, 5*w - 25]', '[350, 350, -w - 19]', '[350, 350, -11*w - 41]', '[350, 350, 11*w - 41]', '[350, 350, w - 19]', '[352, 88, -12*w + 44]', '[353, 353, -4*w - 23]', '[353, 353, 4*w - 23]', '[356, 178, -2*w - 20]', '[356, 178, 2*w - 20]', '[359, 359, 12*w - 35]', '[359, 359, 15*w - 46]', '[360, 60, 6*w + 6]', '[360, 60, 6*w - 6]', '[361, 19, 19]', '[361, 361, 7*w + 30]', '[361, 361, -7*w + 30]', '[362, 362, 21*w - 67]', '[362, 362, 9*w - 23]', '[370, 370, -7*w + 13]', '[370, 370, -11*w - 31]', '[370, 370, -11*w + 31]', '[370, 370, -7*w - 13]', '[371, 371, -6*w + 5]', '[371, 371, -10*w - 27]', '[371, 371, -10*w + 27]', '[371, 371, -6*w - 5]', '[380, 190, -8*w - 18]', '[380, 190, 6*w - 4]', '[380, 190, -6*w - 4]', '[380, 190, 8*w - 18]', '[385, 385, -8*w + 33]', '[385, 385, -3*w + 22]', '[385, 385, 3*w + 22]', '[385, 385, 8*w + 33]', '[387, 129, 6*w - 3]', '[387, 129, -6*w - 3]', '[388, 194, -6*w - 28]', '[388, 194, 6*w - 28]', '[389, 389, -w - 20]', '[389, 389, w - 20]', '[392, 28, -14*w + 42]', '[392, 196, -6*w - 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224]', '[8443, 8443, 58*w - 169]', '[8447, 8447, 51*w - 142]', '[8447, 8447, 84*w - 263]', '[8467, 8467, 29*w - 28]', '[8467, 8467, -29*w - 28]', '[8501, 8501, -25*w - 124]', '[8501, 8501, 25*w - 124]', '[8527, 8527, 44*w - 113]', '[8527, 8527, 101*w - 322]', '[8537, 8537, 28*w - 131]', '[8537, 8537, -113*w + 386]', '[8543, 8543, 28*w - 9]', '[8543, 8543, -28*w - 9]', '[8573, 8573, 19*w - 112]', '[8573, 8573, -19*w - 112]', '[8581, 8581, -23*w - 120]', '[8581, 8581, 23*w - 120]', '[8599, 8599, 28*w - 5]', '[8599, 8599, -28*w - 5]', '[8623, 8623, -28*w - 1]', '[8623, 8623, 28*w - 1]', '[8629, 8629, -6*w - 95]', '[8629, 8629, 6*w - 95]', '[8663, 8663, 32*w - 51]', '[8663, 8663, -32*w - 51]', '[8669, 8669, 11*w - 100]', '[8669, 8669, -11*w - 100]', '[8677, 8677, 7*w - 96]', '[8677, 8677, -7*w - 96]', '[8693, 8693, -26*w - 127]', '[8693, 8693, 26*w - 127]', '[8707, 8707, 59*w - 172]', '[8707, 8707, 74*w - 227]', '[8713, 8713, -9*w - 98]', '[8713, 8713, 9*w - 98]', '[8719, 8719, 52*w - 145]', '[8719, 8719, 85*w - 266]', '[8731, 8731, 89*w - 280]', '[8731, 8731, 50*w - 137]', '[8737, 8737, 3*w - 94]', '[8737, 8737, -3*w - 94]', '[8747, 8747, 34*w - 63]', '[8747, 8747, -34*w - 63]', '[8761, 8761, 15*w - 106]', '[8761, 8761, -15*w - 106]', '[8807, 8807, 31*w - 42]', '[8807, 8807, -31*w - 42]', '[8819, 8819, 45*w - 116]', '[8819, 8819, 102*w - 325]', '[8837, 8837, 22*w - 119]', '[8837, 8837, -22*w - 119]', '[8839, 8839, 65*w - 194]', '[8839, 8839, 68*w - 205]', '[8849, 8849, -4*w - 95]', '[8849, 8849, 4*w - 95]', '[8863, 8863, 32*w - 49]', '[8863, 8863, -32*w - 49]', '[8887, 8887, 116*w - 373]', '[8887, 8887, 41*w - 98]', '[8893, 8893, -34*w - 147]', '[8893, 8893, 34*w - 147]', '[8923, 8923, 98*w - 311]', '[8923, 8923, 47*w - 124]', '[8933, 8933, -49*w + 188]', '[8933, 8933, 74*w - 263]', '[8941, 8941, 5*w - 96]', '[8941, 8941, -5*w - 96]', '[8951, 8951, 40*w - 93]', '[8951, 8951, 121*w - 390]', '[8969, 8969, 89*w - 310]', '[8969, 8969, -40*w + 163]', '[8971, 8971, -31*w - 40]', '[8971, 8971, 31*w - 40]', '[9001, 9001, 25*w - 126]', '[9001, 9001, -25*w - 126]', '[9011, 9011, 51*w - 140]', '[9011, 9011, 90*w - 283]', '[9013, 9013, 6*w - 97]', '[9013, 9013, -6*w - 97]', '[9029, 9029, 31*w - 140]', '[9029, 9029, -31*w - 140]', '[9059, 9059, 30*w - 29]', '[9059, 9059, -30*w - 29]', '[9103, 9103, -43*w + 106]', '[9103, 9103, 43*w + 106]', '[9109, 9109, 9*w - 100]', '[9109, 9109, -9*w - 100]', '[9127, 9127, -31*w - 38]', '[9127, 9127, 31*w - 38]', '[9133, 9133, 69*w - 248]', '[9133, 9133, -54*w + 203]', '[9151, 9151, -29*w - 10]', '[9151, 9151, 29*w - 10]', '[9157, 9157, -42*w + 169]', '[9157, 9157, 87*w - 304]', '[9161, 9161, 68*w - 245]', '[9161, 9161, -55*w + 206]', '[9187, 9187, -29*w - 8]', '[9187, 9187, 29*w - 8]', '[9203, 9203, 117*w - 376]', '[9203, 9203, 42*w - 101]', '[9221, 9221, -58*w + 215]', '[9221, 9221, 65*w - 236]', '[9239, 9239, -32*w - 45]', '[9239, 9239, 32*w - 45]', '[9241, 9241, 63*w - 230]', '[9241, 9241, -60*w + 221]', '[9277, 9277, -37*w + 156]', '[9277, 9277, 98*w - 339]', '[9283, 9283, 37*w - 76]', '[9283, 9283, -37*w - 76]', '[9293, 9293, -14*w - 107]', '[9293, 9293, 14*w - 107]', '[9319, 9319, -40*w - 91]', '[9319, 9319, 40*w - 91]', '[9323, 9323, 38*w - 81]', '[9323, 9323, -38*w - 81]', '[9337, 9337, -33*w - 146]', '[9337, 9337, 33*w - 146]', '[9371, 9371, 30*w - 23]', '[9371, 9371, -30*w - 23]', '[9377, 9377, -13*w - 106]', '[9377, 9377, 13*w - 106]', '[9391, 9391, 59*w - 170]', '[9391, 9391, 80*w - 247]', '[9397, 9397, -38*w + 159]', '[9397, 9397, 97*w - 336]', '[9421, 9421, -117*w + 400]', '[9421, 9421, 30*w - 139]', '[9461, 9461, -7*w - 100]', '[9461, 9461, 7*w - 100]', '[9467, 9467, -34*w - 57]', '[9467, 9467, 34*w - 57]', '[9479, 9479, -33*w - 50]', '[9479, 9479, 33*w - 50]', '[9497, 9497, -8*w - 101]', '[9497, 9497, 8*w - 101]', '[9511, 9511, 100*w - 317]', '[9511, 9511, 49*w - 130]', '[9539, 9539, 30*w - 19]', '[9539, 9539, -30*w - 19]', '[9547, 9547, -31*w - 32]', '[9547, 9547, 31*w - 32]', '[9587, 9587, -46*w + 117]', '[9587, 9587, 46*w + 117]', '[9601, 9601, 28*w - 135]', '[9601, 9601, -28*w - 135]', '[9629, 9629, 35*w - 152]', '[9629, 9629, -35*w - 152]', '[9631, 9631, -35*w - 62]', '[9631, 9631, 35*w - 62]', '[9643, 9643, -38*w - 79]', '[9643, 9643, 38*w - 79]', '[9661, 9661, -18*w - 115]', '[9661, 9661, 18*w - 115]', '[9679, 9679, -40*w - 89]', '[9679, 9679, 40*w - 89]', '[9689, 9689, -49*w + 190]', '[9689, 9689, 80*w - 283]', '[9719, 9719, 105*w - 334]', '[9719, 9719, 48*w - 125]', '[9733, 9733, 94*w - 327]', '[9733, 9733, -41*w + 168]', '[9743, 9743, 32*w - 39]', '[9743, 9743, -32*w - 39]', '[9749, 9749, -50*w + 193]', '[9749, 9749, 79*w - 280]', '[9767, 9767, -36*w - 67]', '[9767, 9767, 36*w - 67]', '[9769, 9769, -36*w - 155]', '[9769, 9769, 36*w - 155]', '[9787, 9787, -31*w - 28]', '[9787, 9787, 31*w - 28]', '[9803, 9803, 78*w - 239]', '[9803, 9803, 63*w - 184]', '[9811, 9811, 50*w - 133]', '[9811, 9811, 101*w - 320]', '[9817, 9817, -17*w - 114]', '[9817, 9817, 17*w - 114]', '[9851, 9851, -30*w - 7]', '[9851, 9851, 30*w - 7]', '[9857, 9857, -52*w + 199]', '[9857, 9857, 77*w - 274]', '[9901, 9901, 3*w - 100]', '[9901, 9901, -3*w - 100]', '[9907, 9907, -34*w - 53]', '[9907, 9907, 34*w - 53]', '[9949, 9949, 75*w - 268]', '[9949, 9949, -54*w + 205]']}
• 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
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-11, 0, 1], 'conductor': 44, 'degree': 2, 'dirichlet_group': [1, 43], 'disc_abs': 44, 'disc_rad': 22, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [0]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [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': [2, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 6.6332495807108, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.44.1', 'local_algs': ['2.1.2.2a1.2', '11.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 11], 'rd': 6.63324958071, 'regulator': {'__RealLiteral__': 0, 'data': '2.99322284613', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 3 a + 10 \\)'], 'used_grh': False, 'zk': ['1', 'a']}