Hilbert modular form data - 2.2.17.1-100.1-c

Formats: - HTML - YAML - JSON - 2024-06-07T16:36:08.016607

• 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': 'yes', 'label': '2.2.17.1-100.1-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [2, 5], 'level_ideal': '[100, 10, 10]', 'level_label': '100.1', 'level_norm': 100, 'parallel_weight': 2, 'short_label': '100.1-c', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 2]', 1], ['[2, 2, -w - 1]', 1], ['[25, 5, -5]', 1]], 'hecke_eigenvalues': [-1, -1, 5, -5, -5, 8, 3, 3, -1, -4, -4, 7, 7, 14, -1, -1, -9, -9, 10, 10, 2, 2, -1, -1, -6, -6, 8, 8, -14, -9, -9, -4, -4, 6, 6, -6, -6, 14, 14, -16, -16, -14, -14, 19, 19, 20, 20, -28, -28, 16, 16, 20, 20, 17, 17, -16, -16, 25, 25, -15, -15, -22, -22, 17, 17, 8, 8, -34, -34, -32, -32, 6, 6, -21, -21, -20, -20, -19, -19, -2, -2, -28, -28, -12, -12, -24, -24, -18, -18, -17, -17, -22, -22, 37, 37, -4, -4, 6, 6, 42, 39, 39, -6, -6, 1, 1, 24, 24, -26, -26, 18, 18, 38, 38, -17, -17, -20, -20, -3, -3, -33, -33, 4, 4, -16, -16, -13, -13, -14, -14, 9, 9, -15, -15, -26, -26, 25, 25, 30, 30, -18, -18, -20, -20, 57, -53, -53, 36, 36, -12, -12, 16, 16, 30, 30, -22, -22, 13, 8, 8, -9, -9, -10, -10, 33, 33, 2, 2, 46, 46, -10, -10, -35, -35, 44, 44, 11, 11, -42, -42, -48, -48, -14, -14, -14, -14, 39, 39, 60, 60, -3, -3, -2, -2, 31, 31, 12, 12, 18, 18, 12, 12, -52, -52, 59, 59, 30, 30, -26, -26, 61, 61, 25, 25, -26, -45, -45, -18, -18, 30, 30, -30, -30, -44, -44, 1, 1, -63, -63, -10, -10, 63, 63, 56, 56, -8, -8, 30, 30, 4, 4, 0, 0, 50, 50, 44, 44, 43, 43, 63, 63, -9, -9, 33, 33, 27, 27, 36, 36, -62, -62, -62, -60, -60, -20, -20, 39, 39, 54, 54, -28, -28, -28, -28, 46, 46, -8, -8, 9, 9, -24, -24, -46, -46, -17, -17, -33, -33, 48, 48, -52, -52, 0, 0, 2, 2, -31, -31, 24, 24, -60, -60, 15, 15, -56, -56, 4, 4, -9, -9, -42, -42, 54, 54, -11, -11, 86, 86, 33, 33, -47, -47, 69, 69, 63, 63, 8, 8, -88, -88, 43, 43, -26, -26, 48, 48, 24, 24, 81, 81, 78, 78, 44, 44, -94, -94, 34, 34, -76, -76, -32, -32, -14, -14, -60, -60, 2, 2, -73, -73, -36, -36, 32, 32, -10, -10, 35, 35, 45, 45, -50, -50, -40, -40, 10, 10, -27, -27, 0, 0, 18, 18, 68, 68, 62, 62, 64, 64, -99, -99, -58, -58, -74, -74, -44, -44, 46, 46, 0, 0, -16, -16, -59, -59, 42, 42, 73, 73, 6, 6, -50, -50, 21, 21, 12, 12, 42, 42, 61, 61, -38, -38, 17, 17, -67, -67, 77, 77, -37, -37, -3, -3, -75, -75, -42, -42, 70, 70, 76, 76, -70, -70, 68, 68, 50, 50, -74, -74, -8, -8, -9, -9, -56, -56, 20, 20, -18, -18, -55, -55, -11, -11, -30, -30, 32, 32, -88, -88, 30, 30, 97, 97, 72, 72, -64, -64, 13, 13, 42, 42, -34, -34, 10, 10, 36, 36, 78, 78, -57, -57, 79, 79, 85, 85, -9, -9, 40, 40, -14, -14, -72, -72, 67, 67, -65, -65, 25, 25, 32, 32, 24, 24, 5, 5, -2, -2, -26, -26, 113, 11, 11, 40, 40, 47, 47, 26, 26, 38, 38, -15, -15, -76, -76, 57, 57, 9, 9, -61, -61, -7, -7, 12, 12, -64, -64, -78, -78, 2, 2, -16, -16, -35, -35, 98, 98, -81, -81, -38, -38, 44, 44, -90, -90, 29, 29, -23, -23, -36, -36, -7, -7, 13, 13, 84, 84, 27, 27, -127, -127, 6, 6, 8, 8, 80, 80, -66, -66, 100, 100, 8, 8, 4, 4, 32, 32, -20, -20, 8, 8, -92, -92, -21, -21, 74, 74, 3, 3, -48, -48, -2, -2, -96, -96, -30, -30, -28, -28, -100, -100, 114, 114, 50, 50, 14, 14, -56, -56, -126, -126, -108, -108, 46, 46, -20, -20, -132, -132, -8, -8, -4, -4, 110, 110, 46, 46, -68, -68, 92, 92, -23, -23, 24, 24, -24, -24, 27, 27, 0, 0, -11, -11, 2, 2, -116, -116, -67, -67, 61, -63, -63, 15, 15, 7, 7, 45, 45, -78, -78, 24, 24, 136, 136, -52, -52, 72, 72, 80, 80, 16, 16, 140, 140, -93, -93, 102, 102, -72, -72, -37, -37, 8, 8, 97, 124, 124, -30, -30, -54, -54, -128, -128, 66, 66, -23, -23, 121, 121, -48, -48, 126, 126, -5, -5, -114, -114, 12, 12, 33, 33, -119, -119, -107, -107, 56, 56, -132, -132, 64, 64, 38, 38, 24, 24, 3, 3, -62, -62, 51, 51, -32, -32, 104, 104, 83, 83, 33, 33, 97, 97, -2, -2, 90, 90, -9, -9, -52, -52, -26, -26, 40, 40, -26, -26, -41, -41, 68, 68, 97, 97, -71, -71, -86, -86, -89, -89, 74, 74, -76, -76, 20, 20, 78, 78, 79, 79, -116, -116, -26, -26, -57, -57, -116, -116, -84, -84, 94, -151, -151, -30, -30, 100, 100, 150, 150, 131, 131, 51, 51, -10, -10, 48, 48, 20, 20, -104, -104, -102, -102, -21, -21, 143, 143, -7, -7, -150, -150, 9, 9, -98, -98, 114, 114, -70, -70, -11, -11, 154, 154, -28, -28, 12, 12, 20, 20, 40, 40, 22, 22, 76, 76, -4, -4, 74, 74, -64, -64, -58, -58, 63, 63, 60, 60, 86, 86, 76, 76, -104, -104, 86, 86, 90, 90, 126, 126, -150, -150, 14, 14, 13, 13, 52, 52, -84, -84, 102, 102, -39, -39, 110, 110, -86, -86, -61, -61, -104, -104, 90, 90, -110, -110, 114, 114, -32, -32, 18, 18, 22, 22, 58, 58, 124, 124, -83, -83, -47, -47, 12, 12, -1, -1, -156, -156, -108, -108, 114, 114, -126, -126, 108, 108, -134, -134, 3, 3, -14, -14, -14, -14, -57, -57, -139, -139, -89, -89, 24, 24, 56, 56, 148, 148, 123, 123, 68, 68, 19, 19, 59, 59, 59, 59, -112, -112, -106, -106, 162, 162, -153, -153, 58, 58, 148, 148, -50, -50, 142, 142, 42, 42, -124, -124, 4, 4, 9, 9, -9, -9, -150, -150, -49, -49, -3, -3, -10, -10, -96, -96, -129, -129, -58, -58, 61, 61, 97, 97, -105, -105, -60, -60, 82, 82, 36, 36, -29, -29, 83, 83, 108, 108, -14, -14, -75, -75, -94, -94, -64, -64, -4, -4, -4, -4, 36, 36, -153, -153, 138, 138, 39, 39, -8, -8, 98, 98, -4, -4, 106, 106, -11, -11, 20, 20, 96, 96, 0, 0, 58, 58, -13, -13, -104, -104, 34, 34, 32, 32, 156, 156, -36, -36, 32, 32, 16, 16, -70, -70, 0, 0, -90, -90, 17, 17, -14, -14, 107, 107, -161, -161, 106, 106, 118, 118, -154, -154, 156, 156, 50, 50, 158, 158, 137, 137, 80, 80, -60, -60, -124, -124, 124, 124, 35, 35, 71, 71, 67, 67, -129, -129, 144, 144, 57, 57, -50, -50, 172, 172, -38, -38, 48, 48, -144, -144, 2, 2, -46, -46, -34, -34, -76, -76, 110, 110, -9, -9, -67, -67, 80, 80, 193, -36, -36, 4, 4, 166, 166, 3, 3, -132, -132, 124, 124, -132, -132, -174, -174, -188, -188, -43, -43, -155, -155, -105, -105, -118, -118, 82, 82, 131, 131, -92, -92, 8, 8, -144, -144, 45, 45, 9, 9, 171, 171, -101, -101, 104, 104, 132, 132, 39, 39, 10, 10, -28, -28, -182, -182, -70, -70, 44, 44, 35, 35, 126, 126, -145, -145, 108, 108, 66, 66], 'hecke_polynomial': 'x', 'label': '2.2.17.1-100.1-c'}
• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	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': ['17.2.1.1'], 'monogenic': 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']}