Hilbert modular form data - 2.2.17.1-400.5-b

Formats: - HTML - YAML - JSON - 2025-12-20T04:38:05.685311

• 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': 17, 'field_bad_primes': [17], 'field_label': '2.2.17.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.17.1-400.5-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 5], 'level_ideal': '[400,80,5*w - 25]', 'level_label': '400.5', 'level_norm': 400, 'parallel_weight': 2, 'short_label': '400.5-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2,2,w + 1]', 1], ['[25,5,-5]', -1]], 'hecke_eigenvalues': [1, 0, 2, 2, -6, -6, -4, 4, 1, 0, -4, 0, -12, -6, 6, -10, -4, 4, -8, -4, 0, 12, -6, 10, -18, -2, -12, 8, 2, -8, -4, 6, -2, -10, -10, 8, 0, 14, -18, 20, 12, 0, -24, -24, 20, 22, 22, -8, 8, 12, 28, 6, -18, 12, 32, -8, 0, -6, -22, -18, -2, -8, -4, 20, -12, -2, 30, 34, -30, -16, 32, -6, -30, 0, 28, -2, -34, 10, -6, 22, -26, -26, 30, -32, 12, -26, -34, -18, -18, -20, 16, 40, -36, 36, -12, 14, -18, 24, 36, 26, 42, -30, -16, -36, 42, 26, -10, -2, 40, 12, 42, -6, 0, 32, 30, -2, 16, 40, 28, -24, -20, 4, 6, 38, -18, -34, -16, -28, 22, 6, -20, 4, -46, -22, -14, 18, -30, -14, 18, -38, -10, -42, -34, -34, 58, -44, 28, 40, -28, -8, -44, 24, 56, -30, 2, 46, -42, 10, 12, 8, 12, 12, 42, 42, 36, -52, 54, -26, -34, 22, -8, 24, -4, 48, -42, -10, -32, -60, -22, -38, 40, -60, 6, 6, -12, 40, -52, -52, 30, 14, 28, 0, -50, -18, 34, -46, 12, -12, 2, 10, -16, -16, -24, -12, -28, -28, 54, -26, -16, 36, -28, 48, -30, -30, 10, -6, 34, -58, -58, 18, -46, -32, 68, 14, 14, -36, -8, 38, -26, 56, 32, 42, 26, 56, -76, 20, 0, -48, -72, -28, 20, 20, 40, -34, 30, 4, 44, -8, -60, 14, -2, -40, -52, -6, -14, -12, -4, -66, 38, 36, -16, 34, -28, -52, 30, -66, 58, -70, 6, 38, -56, -68, 50, 82, 8, 40, 74, 58, 32, -4, 72, -20, -2, 30, -6, 10, 12, -36, 56, -44, -58, 38, 16, -8, -64, -32, -38, 26, -10, -34, 48, 24, -14, 42, -8, -52, 30, -58, 42, 2, 20, -32, 48, 0, -74, 86, -76, -8, -72, 44, 10, -54, 12, 52, 50, -30, 46, -50, -84, 16, -14, -30, -44, -8, -2, -34, -32, 4, -50, -34, 42, -22, 80, 40, -54, -30, -88, 28, 20, -28, -50, -82, -10, 54, 54, 30, 8, -8, -64, -36, -56, 28, 36, -32, 10, -38, 44, -32, -84, 60, -34, 94, 16, -56, 38, -18, -62, -14, -22, -86, 18, 34, -8, 80, 2, 26, 24, -36, -12, -36, -32, -28, 48, -72, -40, -56, 42, -54, -58, 54, 54, 78, 56, 12, -26, -90, -78, -54, -6, -70, -92, -24, 18, 42, 36, -72, 34, 2, 4, 56, 62, -66, -28, -36, 78, -18, 52, -76, -14, 18, 36, -44, -78, -30, -42, -90, -48, -16, -50, -18, 0, 48, -38, 42, 112, 92, -66, 14, -32, 4, 2, -30, -98, -10, -58, 6, -42, -42, -52, 44, 60, 20, 52, -16, 10, 26, 0, 80, 0, 76, -60, -92, -112, 52, 56, -32, -114, -34, -66, 102, 42, 26, -12, 64, 46, -82, -56, -32, 30, 78, -64, -108, 94, 30, 92, -68, -56, -28, 66, -70, 10, -22, 56, 36, -82, 30, -60, 12, -48, 24, -38, 74, 76, 108, -26, -98, -72, -56, -54, -104, -52, -36, 20, 18, 66, -82, 86, 46, -82, -36, -48, -10, -66, 68, 36, -112, 60, 118, 118, 50, 98, 48, -56, -32, 48, -28, 24, -54, 90, 52, 36, 44, -32, 88, 52, -78, 74, 118, -10, -28, 96, 48, -16, 6, 38, -60, 12, -100, 72, -30, -14, 66, 42, -36, 20, -78, 58, 18, 50, 102, 46, 86, -74, 88, 80, 66, -78, 20, 76, 120, -64, -64, -36, -86, 58, 112, 52, -62, 18, 92, 20, 54, 70, -74, 86, -14, -14, -92, -104, 48, 4, -38, 10, -24, -12, 92, -72, -80, -24, 16, -4, -82, -66, -40, -104, -120, 36, 106, 90, 34, 2, 70, 94, 24, 24, 36, 36, 120, 128, 72, -56, -6, 58, -70, -30, -122, -106, 0, -88, 10, 50, -74, 86, 52, 116, -48, -100, 72, -16, 78, -2, 56, 8, 28, 12, -4, -96, -6, 20, -76, -54, -54, 28, 56, -4, 84, 46, -18, 38, 78, 136, 40, 40, -132, 54, 110, -88, -20, 6, -26, 44, 24, 102, 6, -90, -10, -56, 40, -80, 12, 64, -36, 98, 0, -44, 0, 120, -42, -26, 16, 132, 54, -34, -24, 92, -36, -28, 128, -40, 18, 18, 82, 50, 76, 64, 8, 28, 34, -14, 52, 96, -130, -2, 56, -92, 40, -64, -140, 104, 142, -34, -30, -142, -68, 68, 86, 54, -138, 38, -32, 8, 94, 22, -52, -12, -38, 42, -106, -74, 136, -4, 104, -56, 10, 74, 134, 62, 62, 142, 152, -84, -2, 30, -70, 10, 42, 42, 56, 20, -18, 14, 16, -116, -70, -126, -40, -100, 38, 94, -42, -74, -118, 122, -50, 14, 64, -68, -50, 126, -142, -6, -120, 20, -10, 102, 74, -128, 132, -34, 102, -138, -74, -24, -48, -122, -154, 44, -76, -16, 8, -16, -84, -90, -98, -20, 64, -48, -80, -12, -48, 114, 10, 28, -60, -48, 84, -84, -36, -90, -26, -94, 50, -134, 90, -110, 114, 60, 88, 2, 2, 80, -36, -140, -92, -98, -90, -10, -106, -14, -30, -72, 88, 90, 90, -16, 144, 86, 54, 68, 28, 30, -50, -48, 136, -126, 18, 54, 54, 60, -64, -96, 40, -42, 6, -90, 38, 18, -46, 140, -100, 4, 152, 104, 64, -22, -14, 60, 132, 144, -128, -98, 134, -78, 2, -64, -156, -56, -136, -32, -12, -90, 30, -28, 80, -98, 30, -48, 76, 142, 54, 46, 14, 12, -116, 10, 26, 14, 6, -108, 68, -14, 2, -44, -20, 26, 42, -110, 66, 36, 12, 92, 48, 154, -86, -104, 44, 158, 62, 10, 58, -54, 130, -128, -68, -32, -104, -132, -128, 124, 24, 114, 18, -138, 86, -84, 20, 12, 144, -66, 142, 24, 28, -46, -46, -42, 150, -30, -30, 114, -54, -4, 24, -2, 134, 0, -80, 30, -162, 16, 116, -26, 126, 42, -70, -100, 28, 16, -48, -84, 20, 22, -138, 38, 38, -56, 128, 102, -90, 112, 132, 26, 90, -36, -76, -142, 2, 148, -20, -106, -26, 128, 156, -176, 44, 52, 128, 102, 94, -56, 144, 38, 86, 106, 154, 88, -156, -6, 122, -18, 110, 148, -148, -128, 76, 64, -40, 32, 68, 152, 28, -42, -26, -70, 90, -6, -118, 136, 132, 86, 70, -48, 12, -68, -40, 46, -18, 66, 98, -58, 110, 40, -88, -170, 110, 176, -12, -114, -10, -120, 44, -132, -60, 46, -2, -104, 0, -16, 16, 114, 98, 78, 30, -176, -28, -138, 38, -148, -176, 90, -38, 6, -138, 110, 142, -24, 160, 156, -48, 2, 66, -12, 84, 70, -26, -48, -20, 76, -108, 84, 100, -80, 76, -68, 88, 50, -182, 90, 42, 42, -38, -186, 118, -120, -40, -48, -28, -136, -88, -58, -2, 114, 2, -16, -4, 58, -86, -178, 30, 134, 38, -84, -52, 82, -150, -108, -72, 162, 148, 108, 72, -144, 146, -62, -102, 50, -112, 80, 150, 102, 60, 24, -18, -26, 40, -176, -150, 10, 66, 42, 84, -36, -48, -108, 82, 66, -34, -34, -140, -168, -88, -48, -76, -120, -102, -126, 74, -38, -130, -130, 20, 92, 36, -152, -26, -122, 132, -32, -160, -24, -60, 164, -166, 90, 72, 72, -172, 132, 108, -172, -60, 48, 74, -86, 62, -146, 118, -106], 'hecke_polynomial': 'x', 'label': '2.2.17.1-400.5-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 17, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[2, 2, -w - 1]', '[4, 2, 2]', '[4, 4, w]', '[4, 4, w - 1]', '[8, 4, -2*w + 4]', '[8, 4, -2*w - 2]', '[8, 8, -w - 3]', '[8, 8, w - 4]', '[9, 3, 3]', '[13, 13, -2*w + 3]', '[13, 13, 2*w + 1]', '[16, 4, 4]', '[16, 8, 2*w]', '[16, 8, 2*w - 2]', '[16, 16, w + 4]', '[16, 16, -w + 5]', '[17, 17, -2*w + 1]', '[18, 6, -3*w + 6]', '[18, 6, -3*w - 3]', '[19, 19, -2*w + 7]', '[19, 19, 2*w + 5]', '[25, 5, -5]', '[26, 26, w + 5]', '[26, 26, -3*w + 5]', '[26, 26, 3*w + 2]', '[26, 26, w - 6]', '[32, 8, -4*w + 8]', '[32, 8, -4*w - 4]', '[32, 16, -2*w - 6]', '[32, 16, 2*w - 8]', '[32, 32, -3*w - 1]', '[32, 32, -3*w + 4]', '[34, 34, -3*w + 10]', '[34, 34, 3*w + 7]', '[36, 6, 6]', '[36, 12, 3*w]', '[36, 12, 3*w - 3]', '[38, 38, -w - 6]', '[38, 38, -3*w + 2]', '[38, 38, -3*w + 1]', '[38, 38, w - 7]', '[43, 43, 4*w - 7]', '[43, 43, 4*w + 3]', '[47, 47, -2*w + 9]', '[47, 47, 2*w + 7]', '[49, 7, -7]', '[50, 10, 5*w - 10]', '[50, 10, 5*w + 5]', '[52, 26, -4*w + 6]', '[52, 26, 4*w + 2]', '[52, 52, w + 7]', '[52, 52, 3*w + 8]', '[52, 52, 3*w - 11]', '[52, 52, w - 8]', '[53, 53, 4*w - 13]', '[53, 53, 6*w - 13]', '[59, 59, -4*w - 1]', '[59, 59, 4*w - 5]', '[64, 8, 8]', '[64, 16, 4*w]', '[64, 16, 4*w - 4]', '[64, 32, 2*w + 8]', '[64, 32, -2*w + 10]', '[64, 64, 5*w - 9]', '[64, 64, 5*w + 4]', '[67, 67, 4*w - 3]', '[67, 67, 4*w - 1]', '[68, 34, -4*w + 2]', '[68, 68, -w - 8]', '[68, 68, w - 9]', '[72, 12, -6*w + 12]', '[72, 12, -6*w - 6]', '[72, 24, -3*w - 9]', '[72, 24, 3*w - 12]', '[76, 38, -4*w + 14]', '[76, 38, 4*w + 10]', '[76, 76, -5*w + 16]', '[76, 76, 5*w + 3]', '[76, 76, 5*w - 8]', '[76, 76, 5*w + 11]', '[81, 9, 9]', '[83, 83, 2*w - 11]', '[83, 83, -2*w - 9]', '[86, 86, -w - 9]', '[86, 86, -5*w + 7]', '[86, 86, -5*w - 2]', '[86, 86, w - 10]', '[89, 89, 6*w - 11]', '[89, 89, 6*w + 5]', '[94, 94, -5*w - 1]', '[94, 94, 3*w - 13]', '[94, 94, -3*w - 10]', '[94, 94, -5*w + 6]', '[98, 14, 7*w - 14]', '[98, 14, 7*w + 7]', '[100, 10, 10]', '[100, 20, -5*w]', '[100, 20, -5*w + 5]', '[101, 101, 10*w - 23]', '[101, 101, 4*w - 15]', '[103, 103, 8*w + 9]', '[103, 103, 8*w - 17]', '[104, 52, 2*w + 10]', '[104, 52, -6*w + 10]', '[104, 52, 6*w + 4]', '[104, 52, 2*w - 12]', '[104, 104, -5*w + 4]', '[104, 104, 5*w + 12]', '[104, 104, 5*w - 17]', '[104, 104, 5*w - 1]', '[106, 106, 17*w - 42]', '[106, 106, -5*w + 2]', '[106, 106, 5*w - 3]', '[106, 106, w - 11]', '[117, 39, -6*w + 9]', '[117, 39, 6*w + 3]', '[118, 118, 9*w + 17]', '[118, 118, -3*w - 11]', '[118, 118, -3*w + 14]', '[118, 118, 9*w - 26]', '[121, 11, -11]', '[127, 127, 2*w - 13]', '[127, 127, -2*w - 11]', '[128, 16, -8*w + 16]', '[128, 16, -8*w - 8]', '[128, 32, -4*w - 12]', '[128, 32, 4*w - 16]', '[128, 64, -6*w - 2]', '[128, 64, -6*w + 8]', '[128, 128, -w - 11]', '[128, 128, w - 12]', '[134, 134, 7*w - 22]', '[134, 134, 5*w - 18]', '[134, 134, -5*w - 13]', '[134, 134, -7*w - 15]', '[136, 68, -6*w + 20]', '[136, 68, 6*w + 14]', '[136, 136, 7*w + 5]', '[136, 136, 7*w - 12]', '[137, 137, -6*w - 1]', '[137, 137, 6*w - 7]', '[144, 12, 12]', '[144, 24, 6*w]', '[144, 24, 6*w - 6]', '[144, 48, 3*w + 12]', '[144, 48, -3*w + 15]', '[149, 149, 6*w - 5]', '[149, 149, 6*w - 1]', '[151, 151, 8*w - 15]', '[151, 151, 8*w + 7]', '[152, 76, -2*w - 12]', '[152, 76, -6*w + 4]', '[152, 76, -6*w + 2]', '[152, 76, 2*w - 14]', '[152, 152, -w - 12]', '[152, 152, -7*w - 4]', '[152, 152, -7*w + 11]', '[152, 152, w - 13]', '[153, 51, -6*w + 3]', '[157, 157, 14*w + 19]', '[157, 157, 4*w + 13]', '[162, 18, -9*w + 18]', '[162, 18, -9*w - 9]', '[166, 166, 13*w - 30]', '[166, 166, 7*w - 10]', '[166, 166, 7*w + 3]', '[166, 166, 13*w + 17]', '[169, 13, 13]', '[169, 169, 10*w + 11]', '[169, 169, 10*w - 21]', '[171, 57, -6*w + 21]', '[171, 57, 6*w + 15]', '[172, 86, 8*w - 14]', '[172, 86, 8*w + 6]', '[172, 172, -3*w + 16]', '[172, 172, 11*w - 24]', '[172, 172, 11*w + 13]', '[172, 172, 3*w + 13]', '[178, 178, -w - 13]', '[178, 178, -7*w + 9]', '[178, 178, -7*w - 2]', '[178, 178, w - 14]', '[179, 179, 2*w - 15]', '[179, 179, -2*w - 13]', '[188, 94, -4*w + 18]', '[188, 94, 4*w + 14]', '[188, 188, 11*w + 21]', '[188, 188, 7*w + 1]', '[188, 188, 7*w - 8]', '[188, 188, -11*w + 32]', '[191, 191, 8*w - 13]', '[191, 191, 8*w + 5]', '[196, 14, 14]', '[196, 28, -7*w]', '[196, 28, -7*w + 7]', '[200, 20, 10*w - 20]', '[200, 20, 10*w + 10]', '[200, 40, 5*w + 15]', '[200, 40, -5*w + 20]', '[202, 202, -7*w + 6]', '[202, 202, 19*w - 46]', '[202, 202, 3*w - 17]', '[202, 202, 7*w - 1]', '[206, 206, -w - 14]', '[206, 206, -7*w + 2]', '[206, 206, -7*w + 5]', '[206, 206, w - 15]', '[208, 52, -8*w + 12]', '[208, 52, 8*w + 4]', '[208, 104, 2*w + 14]', '[208, 104, 6*w + 16]', '[208, 104, 6*w - 22]', '[208, 104, 2*w - 16]', '[208, 208, 11*w + 12]', '[208, 208, 7*w - 3]', '[208, 208, -7*w + 4]', '[208, 208, -11*w + 23]', '[212, 106, 8*w - 26]', '[212, 106, 12*w - 26]', '[212, 212, -13*w + 29]', '[212, 212, 9*w + 7]', '[212, 212, -9*w + 16]', '[212, 212, -7*w + 24]', '[221, 221, -4*w - 15]', '[221, 221, -4*w + 19]', '[223, 223, -8*w - 3]', '[223, 223, 8*w - 11]', '[225, 15, -15]', '[229, 229, 10*w - 19]', '[229, 229, 10*w + 9]', '[234, 78, 3*w + 15]', '[234, 78, -9*w + 15]', '[234, 78, 9*w + 6]', '[234, 78, 3*w - 18]', '[236, 118, -8*w - 2]', '[236, 118, 8*w - 10]', '[236, 236, -w - 15]', '[236, 236, -5*w + 21]', '[236, 236, -5*w - 16]', '[236, 236, -w + 16]', '[239, 239, 2*w - 17]', '[239, 239, -2*w - 15]', '[242, 22, 11*w - 22]', '[242, 22, 11*w + 11]', '[247, 247, -8*w - 1]', '[247, 247, -6*w - 17]', '[247, 247, -6*w + 23]', '[247, 247, 8*w - 9]', '[251, 251, 12*w + 13]', '[251, 251, 12*w - 25]', '[254, 254, 9*w + 5]', '[254, 254, 15*w + 19]', '[254, 254, 15*w - 34]', '[254, 254, 9*w - 14]', '[256, 16, 16]', '[256, 32, 8*w]', '[256, 32, 8*w - 8]', '[256, 64, 4*w + 16]', '[256, 64, -4*w + 20]', '[256, 128, 10*w - 18]', '[256, 128, 10*w + 8]', '[256, 256, 9*w + 20]', '[256, 256, -9*w + 29]', '[257, 257, 8*w - 27]', '[257, 257, 14*w - 31]', '[263, 263, 8*w - 7]', '[263, 263, 8*w - 1]', '[268, 134, 8*w - 6]', '[268, 134, 8*w - 2]', '[268, 268, w + 16]', '[268, 268, -3*w + 19]', '[268, 268, 3*w + 16]', '[268, 268, -w + 17]', '[271, 271, 8*w - 5]', '[271, 271, 8*w - 3]', '[272, 68, -8*w + 4]', '[272, 136, -2*w - 16]', '[272, 136, 2*w - 18]', '[272, 272, -9*w + 13]', '[272, 272, -9*w - 4]', '[274, 274, 13*w + 25]', '[274, 274, -5*w - 17]', '[274, 274, -5*w + 22]', '[274, 274, 13*w - 38]', '[281, 281, 10*w + 7]', '[281, 281, 10*w - 17]', '[288, 24, -12*w + 24]', '[288, 24, -12*w - 12]', '[288, 48, -6*w - 18]', '[288, 48, 6*w - 24]', '[288, 96, -9*w - 3]', '[288, 96, -9*w + 12]', '[289, 17, 17]', '[293, 293, 4*w - 21]', '[293, 293, -4*w - 17]', '[298, 298, 11*w - 34]', '[298, 298, 7*w - 26]', '[298, 298, -7*w - 19]', '[298, 298, -11*w - 23]', '[302, 302, -w - 17]', '[302, 302, -9*w + 11]', '[302, 302, -9*w - 2]', '[302, 302, w - 18]', '[304, 76, -8*w + 28]', '[304, 76, 8*w + 20]', '[304, 152, -10*w + 32]', '[304, 152, 10*w + 6]', '[304, 152, 10*w - 16]', '[304, 152, 10*w + 22]', '[304, 304, 3*w + 17]', '[304, 304, 11*w + 9]', '[304, 304, 11*w - 20]', '[304, 304, -3*w + 20]', '[306, 102, -9*w + 30]', '[306, 102, 9*w + 21]', '[307, 307, 2*w - 19]', '[307, 307, -2*w - 17]', '[314, 314, -9*w - 1]', '[314, 314, 5*w - 23]', '[314, 314, -5*w - 18]', '[314, 314, -9*w + 10]', '[323, 323, -12*w + 23]', '[323, 323, -12*w - 11]', '[324, 18, 18]', '[324, 36, 9*w]', '[324, 36, 9*w - 9]', '[325, 65, 10*w - 15]', '[325, 65, -10*w - 5]', '[331, 331, 6*w - 25]', '[331, 331, -6*w - 19]', '[332, 166, 4*w - 22]', '[332, 166, -4*w - 18]', '[332, 332, -9*w + 8]', '[332, 332, -11*w + 19]', '[332, 332, -11*w - 8]', '[332, 332, -9*w + 1]', '[338, 26, 13*w - 26]', '[338, 26, 13*w + 13]', '[338, 338, -w - 18]', '[338, 338, -9*w + 2]', '[338, 338, -9*w + 7]', '[338, 338, w - 19]', '[342, 114, -3*w - 18]', '[342, 114, -9*w + 6]', '[342, 114, -9*w + 3]', '[342, 114, 3*w - 21]', '[344, 172, -2*w - 18]', '[344, 172, -10*w + 14]', '[344, 172, -10*w - 4]', '[344, 172, 2*w - 20]', '[344, 344, -7*w - 20]', '[344, 344, -9*w + 4]', '[344, 344, -9*w + 5]', '[344, 344, 7*w - 27]', '[349, 349, 14*w + 15]', '[349, 349, 14*w - 29]', '[353, 353, 18*w - 41]', '[353, 353, 8*w - 29]', '[356, 178, 12*w - 22]', '[356, 178, 12*w + 10]', '[356, 356, 5*w + 19]', '[356, 356, 15*w - 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179]', '[7879, 7879, 42*w - 145]', '[7901, 7901, 44*w - 149]', '[7901, 7901, 78*w - 173]', '[7907, 7907, 76*w - 167]', '[7907, 7907, 46*w - 153]', '[7937, 7937, 16*w - 103]', '[7937, 7937, -16*w - 87]', '[8009, 8009, -8*w - 87]', '[8009, 8009, 8*w - 95]', '[8011, 8011, 52*w - 85]', '[8011, 8011, -52*w - 33]', '[8039, 8039, 10*w - 97]', '[8039, 8039, -10*w - 87]', '[8059, 8059, 44*w - 35]', '[8059, 8059, 44*w - 9]', '[8093, 8093, 46*w - 53]', '[8093, 8093, -46*w - 7]', '[8101, 8101, 20*w - 109]', '[8101, 8101, -20*w - 89]', '[8111, 8111, -48*w - 17]', '[8111, 8111, 48*w - 65]', '[8117, 8117, -28*w - 93]', '[8117, 8117, 28*w - 121]', '[8147, 8147, 44*w - 31]', '[8147, 8147, 44*w - 13]', '[8161, 8161, -24*w - 91]', '[8161, 8161, 24*w - 115]', '[8179, 8179, 44*w - 29]', '[8179, 8179, 44*w - 15]', '[8209, 8209, 46*w - 51]', '[8209, 8209, -46*w - 5]', '[8219, 8219, 44*w - 25]', '[8219, 8219, 44*w - 19]', '[8237, 8237, 62*w - 121]', '[8237, 8237, -62*w - 59]', '[8243, 8243, 52*w - 83]', '[8243, 8243, -52*w - 31]', '[8263, 8263, 88*w - 201]', '[8263, 8263, 38*w - 139]', '[8287, 8287, 56*w - 99]', '[8287, 8287, 56*w + 43]', '[8297, 8297, -54*w - 37]', '[8297, 8297, 54*w - 91]', '[8311, 8311, -6*w - 89]', '[8311, 8311, 6*w - 95]', '[8317, 8317, 46*w - 49]', '[8317, 8317, -46*w - 3]', '[8329, 8329, 40*w - 143]', '[8329, 8329, 86*w - 195]', '[8363, 8363, 26*w - 119]', '[8363, 8363, -26*w - 93]', '[8377, 8377, 8*w - 97]', '[8377, 8377, -8*w - 89]', '[8389, 8389, 52*w - 167]', '[8389, 8389, 74*w - 159]', '[8419, 8419, 76*w - 165]', '[8419, 8419, 50*w - 163]', '[8423, 8423, 48*w - 61]', '[8423, 8423, -48*w - 13]', '[8431, 8431, 46*w - 155]', '[8431, 8431, 80*w - 177]', '[8447, 8447, 2*w - 93]', '[8447, 8447, -2*w - 91]', '[8467, 8467, -52*w - 29]', '[8467, 8467, 52*w - 81]', '[8501, 8501, -20*w - 91]', '[8501, 8501, 20*w - 111]', '[8513, 8513, 66*w + 67]', '[8513, 8513, 66*w - 133]', '[8521, 8521, 58*w + 47]', '[8521, 8521, 58*w - 105]', '[8543, 8543, 34*w - 133]', '[8543, 8543, 96*w - 223]', '[8581, 8581, -4*w - 91]', '[8581, 8581, 4*w - 95]', '[8623, 8623, 18*w - 109]', '[8623, 8623, -18*w - 91]', '[8627, 8627, 68*w + 71]', '[8627, 8627, 68*w - 139]', '[8669, 8669, 46*w - 5]', '[8669, 8669, 46*w - 41]', '[8689, 8689, 50*w - 69]', '[8689, 8689, -50*w - 19]', '[8713, 8713, 16*w - 107]', '[8713, 8713, -16*w - 91]', '[8719, 8719, 30*w - 127]', '[8719, 8719, -30*w - 97]', '[8737, 8737, 46*w - 7]', '[8737, 8737, 46*w - 39]', '[8747, 8747, 92*w - 211]', '[8747, 8747, 38*w - 141]', '[8753, 8753, 8*w - 99]', '[8753, 8753, -8*w - 91]', '[8807, 8807, 72*w + 79]', '[8807, 8807, 72*w - 151]', '[8819, 8819, 2*w - 95]', '[8819, 8819, -2*w - 93]', '[8821, 8821, 58*w - 103]', '[8821, 8821, 58*w + 45]', '[8831, 8831, -48*w - 7]', '[8831, 8831, 48*w - 55]', '[8839, 8839, 56*w + 39]', '[8839, 8839, 56*w - 95]', '[8849, 8849, 46*w - 35]', '[8849, 8849, 46*w - 11]', '[8861, 8861, -50*w - 17]', '[8861, 8861, 50*w - 67]', '[8887, 8887, 42*w - 149]', '[8887, 8887, 88*w - 199]', '[8893, 8893, 46*w - 13]', '[8893, 8893, 46*w - 33]', '[8923, 8923, 54*w - 173]', '[8923, 8923, 76*w - 163]', '[8929, 8929, 46*w - 15]', '[8929, 8929, 46*w - 31]', '[8933, 8933, 44*w - 153]', '[8933, 8933, 86*w - 193]', '[8941, 8941, 62*w - 117]', '[8941, 8941, 62*w + 55]', '[8951, 8951, 48*w - 53]', '[8951, 8951, -48*w - 5]', '[8963, 8963, 46*w - 157]', '[8963, 8963, 84*w - 187]', '[9001, 9001, -24*w - 95]', '[9001, 9001, 24*w - 119]', '[9011, 9011, 100*w - 233]', '[9011, 9011, 34*w - 135]', '[9029, 9029, -54*w - 31]', '[9029, 9029, 54*w - 85]', '[9043, 9043, 68*w + 69]', '[9043, 9043, 68*w - 137]', '[9059, 9059, 60*w - 109]', '[9059, 9059, 60*w + 49]', '[9091, 9091, 52*w - 75]', '[9091, 9091, -52*w - 23]', '[9103, 9103, 56*w - 93]', '[9103, 9103, -56*w - 37]', '[9127, 9127, 64*w - 123]', '[9127, 9127, -64*w - 59]', '[9133, 9133, 36*w - 139]', '[9133, 9133, 98*w - 227]', '[9137, 9137, -8*w - 93]', '[9137, 9137, 8*w - 101]', '[9161, 9161, 70*w - 143]', '[9161, 9161, 70*w + 73]', '[9181, 9181, 50*w - 63]', '[9181, 9181, -50*w - 13]', '[9199, 9199, 2*w - 97]', '[9199, 9199, -2*w - 95]', '[9227, 9227, 26*w - 123]', '[9227, 9227, -26*w - 97]', '[9239, 9239, 96*w - 221]', '[9239, 9239, 38*w - 143]', '[9257, 9257, 54*w - 83]', '[9257, 9257, -54*w - 29]', '[9281, 9281, 62*w - 115]', '[9281, 9281, 62*w + 53]', '[9283, 9283, -52*w - 21]', '[9283, 9283, 52*w - 73]', '[9337, 9337, 32*w - 133]', '[9337, 9337, -32*w - 101]', '[9341, 9341, -4*w - 95]', '[9341, 9341, 4*w - 99]', '[9349, 9349, 74*w - 155]', '[9349, 9349, 74*w + 81]', '[9371, 9371, 60*w + 47]', '[9371, 9371, 60*w - 107]', '[9397, 9397, 58*w + 41]', '[9397, 9397, 58*w - 99]', '[9403, 9403, 92*w - 209]', '[9403, 9403, 42*w - 151]', '[9409, 97, -97]', '[9419, 9419, 76*w + 85]', '[9419, 9419, 76*w - 161]', '[9431, 9431, 48*w - 5]', '[9431, 9431, 48*w - 43]', '[9433, 9433, 24*w - 121]', '[9433, 9433, -24*w - 97]', '[9437, 9437, -28*w - 99]', '[9437, 9437, 28*w - 127]', '[9439, 9439, -18*w - 95]', '[9439, 9439, 18*w - 113]', '[9461, 9461, 90*w - 203]', '[9461, 9461, 44*w - 155]', '[9467, 9467, -52*w - 19]', '[9467, 9467, 52*w - 71]', '[9473, 9473, 78*w - 167]', '[9473, 9473, 56*w - 179]', '[9511, 9511, 54*w - 175]', '[9511, 9511, 80*w - 173]', '[9521, 9521, -16*w - 95]', '[9521, 9521, 16*w - 111]', '[9533, 9533, 52*w - 171]', '[9533, 9533, 82*w - 179]', '[9539, 9539, 50*w - 167]', '[9539, 9539, 84*w - 185]', '[9587, 9587, 2*w - 99]', '[9587, 9587, -2*w - 97]', '[9601, 9601, 50*w - 57]', '[9601, 9601, -50*w - 7]', '[9613, 9613, 62*w - 113]', '[9613, 9613, 62*w + 51]', '[9623, 9623, 48*w - 11]', '[9623, 9623, 48*w - 37]', '[9631, 9631, 30*w - 131]', '[9631, 9631, -30*w - 101]', '[9643, 9643, 52*w - 69]', '[9643, 9643, -52*w - 17]', '[9677, 9677, -66*w - 61]', '[9677, 9677, 66*w - 127]', '[9689, 9689, -54*w - 25]', '[9689, 9689, 54*w - 79]', '[9733, 9733, 4*w - 101]', '[9733, 9733, -4*w - 97]', '[9739, 9739, 100*w - 231]', '[9739, 9739, 38*w - 145]', '[9743, 9743, 48*w - 31]', '[9743, 9743, 48*w - 17]', '[9749, 9749, -20*w - 97]', '[9749, 9749, 20*w - 117]', '[9767, 9767, 48*w - 19]', '[9767, 9767, 48*w - 29]', '[9791, 9791, 48*w - 25]', '[9791, 9791, 48*w - 23]', '[9811, 9811, -52*w - 15]', '[9811, 9811, 52*w - 67]', '[9817, 9817, 74*w + 79]', '[9817, 9817, 74*w - 153]', '[9839, 9839, 64*w + 55]', '[9839, 9839, 64*w - 119]', '[9851, 9851, 68*w - 133]', '[9851, 9851, -68*w - 65]', '[9859, 9859, -18*w - 97]', '[9859, 9859, 18*w - 115]', '[9907, 9907, 76*w + 83]', '[9907, 9907, 76*w - 159]', '[9929, 9929, 8*w - 105]', '[9929, 9929, -8*w - 97]', '[9941, 9941, -58*w - 37]', '[9941, 9941, 58*w - 95]', '[9949, 9949, -50*w - 1]', '[9949, 9949, 50*w - 51]']}
• 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': [-4, -1, 1], 'conductor': 17, 'degree': 2, 'dirichlet_group': [1, 16], 'disc_abs': 17, 'disc_rad': 17, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [0]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1], 'galois_label': '2T1', 'galt': 1, 'grd': 4.123105625617661, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.17.1', 'local_algs': ['17.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 0, 'ramps': [17], 'rd': 4.12310562562, 'regulator': {'__RealLiteral__': 0, 'data': '2.09471254726', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 3 \\)'], 'used_grh': False, 'zk': ['1', 'a']}