Hilbert modular form data - 2.2.65.1-52.1-i

Formats: - HTML - YAML - JSON - 2025-11-15T20:49:44.978283

• 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': 65, 'field_bad_primes': [5, 13], 'field_label': '2.2.65.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.65.1-52.1-i', 'label_nsuffix': 8, 'label_suffix': 'i', 'level_bad_primes': [2, 13], 'level_ideal': '[52, 26, 2*w + 12]', 'level_label': '52.1', 'level_norm': 52, 'parallel_weight': 2, 'short_label': '52.1-i', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', -1], ['[2, 2, w + 1]', -1], ['[13, 13, w + 6]', 1]], 'hecke_eigenvalues': [1, 1, -1, 1, 1, 3, -1, 2, 2, 3, 3, 13, 13, -8, -8, -2, -2, -10, -10, -4, -4, 0, 0, 14, 14, 4, 4, -18, -1, -1, 12, 12, 7, 7, -4, -4, 0, 0, -9, -9, 0, 0, 10, 10, -16, -16, 9, 9, -10, -10, 23, 23, -21, -21, -24, -24, 0, 0, -24, -24, -25, 7, 7, 14, 14, 18, 18, -18, -18, 4, 4, -2, 27, 27, -30, -30, -22, -22, 21, 21, -22, -22, 10, 10, 16, 16, -16, -16, -5, -5, 39, 39, -30, 33, 33, 31, 31, 33, 33, 18, 18, -28, -28, -22, -22, -2, -2, -35, -35, 26, 26, 16, 16, -2, -2, 14, 14, -12, -12, -44, -44, -12, -12, -22, -22, -43, -43, -47, -47, 24, 24, 11, 11, 32, 32, -9, -9, 30, 30, -38, -38, 49, 49, 20, 20, -11, -11, -39, -39, 21, 21, -54, -54, 24, 24, -18, -18, -46, 23, 23, -15, -15, -30, -30, -31, -31, -30, -30, -32, -32, 40, 40, 18, 18, 7, 7, 20, 20, 24, 24, 28, 28, -22, -22, -44, -44, 46, 46, 18, 18, -12, -12, -11, -11, -28, -28, -28, -28, 41, 41, 25, 25, -3, -3, 42, 42, 34, 34, 53, 53, 52, 52, 9, 9, 52, 52, 31, 31, 2, 2, -72, -72, 4, 4, 19, 19, -31, -31, -11, -11, 72, 72, -70, -70, -30, -30, -29, -29, 14, 14, 48, 48, 35, 35, -61, -61, 19, 19, -49, -49, 12, 12, -10, -10, 34, 34, -82, -24, -24, 55, 55, -12, -12, -8, -8, -2, -2, 18, 18, -4, -4, 48, 48, 38, 38, 69, 69, -61, -36, -36, 10, 10, -19, -19, -70, -70, 12, 12, 24, 24, 60, 60, 6, 6, 13, 13, 14, 14, 59, 59, -30, -30, -11, -11, -40, -40, -84, -84, -81, -81, 23, 23, 53, 53, 56, 56, 86, 86, -52, -52, -32, -32, 0, 0, -61, -61, -16, -16, 34, 34, 48, 48, -28, -28, -24, -24, 56, 56, 20, 20, -9, -9, 58, 58, -67, -67, -89, -89, 46, 46, 80, 80, -2, -2, 66, 66, -33, -33, -26, -26, 6, 6, 21, 21, 40, 40, 9, 9, -51, -51, 13, 13, 17, 17, 30, 30, -24, -24, -54, -54, -52, -52, -22, -22, 86, 86, -12, -12, 82, 82, -3, -3, -46, -46, 13, 13, -91, -91, -12, -12, -53, -53, -8, -8, -22, -22, -23, -23, 46, 46, 38, -53, -53, -36, -36, 42, 42, 68, 68, -50, -50, 72, 72, 21, 21, -28, -28, 46, 46, 46, 46, -25, -25, 84, 84, 49, 49, -10, -10, -38, -38, 12, 12, 49, 49, -24, -24, 13, 13, 74, 74, 24, 24, 68, 68, 40, 40, -26, -26, 60, 60, 80, 80, 68, 68, 52, 52, -2, -2, -10, -10, -60, -60, -82, -82, -36, -36, -114, -114, -28, -28, 47, 47, -82, -82, -44, -44, 70, 70, -40, -40, 75, 75, 41, 41, 60, 60, 41, 41, -18, 40, 40, 81, 81, -51, -51, -92, -92, 37, 37, -94, -94, 107, 107, 21, 21, -18, -18, -95, -95, -8, -8, 6, 6, 3, 3, -67, -67, -40, -40, -8, -8, 84, 84, 10, 10, -11, -11, 87, 87, -10, -10, 91, 91, 24, 24, 56, 56, -100, -100, 37, 37, -66, -66, 63, 63, 16, 16, 73, 73, 0, 0, -71, -71, 75, 75, 74, 74, -50, -50, 39, 39, 55, 55, 47, 47, 122, 122, 5, 5, -18, -18, 100, 100, -51, -51, -38, -38, 72, 72, -77, -77, 2, 2, -30, -30, 76, 76, -126, -126, -15, -15, 56, 56, -5, -5, 68, 68, -119, -119, -17, -17, 80, 80, 27, 27, 94, 94, 26, 26, -64, -64, 93, 93, 116, 116, 14, 14, 132, 132, -11, -11, -56, -56, -29, -29, -99, -99, 24, 24, -73, -73, 68, 68, -66, -66, -79, -79, 0, 0, -7, -7, -12, -12, -10, -10, 56, 56, -43, -43, 39, 39, -73, -73, 25, 25, -106, -106, 70, 70, -66, -66, 74, 74, -64, -64, -9, -9, -88, -88, 131, 131, -117, -137, -137, -87, -87, 68, 68, -88, -88, -40, -40, 107, 107, 132, 132, -5, -5, 96, 96, -54, -54, 40, 40, 66, 66, -12, -12, 53, 53, 76, 76, 60, 60, 90, 90, 12, 12, 144, 144, 24, 24, 59, 59, -98, -98, -134, -134, -29, -29, 40, 40, 42, 42, -32, -32, 132, 132, -88, -88, -30, -30, -133, -133, 27, 27, 52, 52, 89, 89, -54, -54, -17, -17, -14, -14, -126, -126, -84, -84, -144, -144, 16, 16, -57, -57, -150, -150, -2, -2, 76, 76, 26, 26, -112, -112, 62, 62, 42, 42, -52, -52, 30, 30, -136, -136, -144, -144, 108, 108, 67, 67, -102, -102, 21, 21, -50, -50, 68, 68, 12, 12, 5, 5, -91, -91, -96, -96, 52, 52, 144, 144, -72, -72, 41, 41, -96, -96, 142, 142, 24, 24, -32, -32, 125, 125, 24, 24, -4, -4, 2, 2, -81, -81, -23, -23, 87, 87, 97, 97, -18, -18, 0, 0, -30, -30, -38, -38, 30, 30, -5, -5, 59, 59, 114, 114, -28, -28, 103, 103, 116, 116, 7, 7, 74, 74, 20, 20, 108, 108, 68, 68, 30, 30, -11, -11, -86, -86, -88, -88, 12, 12, -66, -66, -96, -96, 119, 119, -16, -16, -92, -92, 91, 91, -85, -85, -42, -42, -96, -96, -126, -126, 132, 132, -46, -46, -30, -30, -8, -8, 48, 48, -163, -163, 44, 44, -94, -94, 80, 80, -64, -64, -50, -50, 87, 87, 58, 58, 129, 129, 0, 0, 97, 97, -72, -72, 108, 108, -16, -16, 163, 163, 35, 35, 32, 32, 66, 66, -166, -166, -122, -122, -77, -77, -122, -122, -166, -166, 88, 88, -152, -152, 27, 27, 34, 34, -72, -72, -140, -140, 81, 81, 39, 39, -84, -84, 96, 96, -32, -32, -24, -24, 14, 14, -50, -50, 12, 12, 86, 86, -106, -106, -142, -56, -56, -86, -86, 112, 112, -19, -19, -31, -31, 123, 123, 52, 52, 90, 90, 61, 61, -47, -47, -148, -148, -37, -37, -38, -38, -42, -42, -40, -40, -96, -96, 125, 125, -164, -164, 24, 24, -84, -84, -84, -84, 95, 95, 136, 136, 49, 49, -32, -32, 33, 33, -50, -50, -26, -26, -66, -66, 16, 16, 46, 46, 100, 100, -24, -24, 69, 69, 0, 0, -91, -91, 60, 60, 146, 146, -45, -45, 143, 143, 61, 61, -86, -86, -138, -138, 68, 68, -170, -170, 5, 5, -131, -131, 111, 111, 54, 54, 9, 9, 152, 152, -8, -8, 79, 79, 47, 47, 118, 118, 142, 142, -32, -32, 18, 18, 3, 3, -93, -93, 180, 180, 48, 48, -98, -98, -162, -162, 178, 178, -85, -85, 10, 10, -1, -1, 164, 164, 136, 136, -5, -5, -106, -106, 39, 39, 40, 40, -102, -102, -70, -70, -130, -130, -105, -105, 75, 75, -138, -138, 42, 42, -94, -94, 14, 14, 166, 166, -136, -136, 12, 12, -119, -119, 146, 146, -92, -92, 56, 56, -108, -108, -156, -156, -137, -137, -5, -5, 40, 40, 74, 74, 130, 130, 135, 135, 139, 139, 7, 7, 34, 34, -68, -68, -163, -163, 186, 186, -68, -68, -162, -162, -123, -123, -68, -68, -80, -80, 109, 109, 97, 97, -180, -180, -60, -60, -71, -71], 'hecke_polynomial': 'x', 'label': '2.2.65.1-52.1-i'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 65, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[4, 2, 2]', '[4, 4, -w + 4]', '[4, 4, -w - 3]', '[5, 5, w + 2]', '[7, 7, w + 1]', '[7, 7, w + 5]', '[8, 4, 2*w]', '[8, 4, 2*w + 2]', '[8, 8, w]', '[8, 8, w + 7]', '[9, 3, 3]', '[10, 10, w + 2]', '[10, 10, w - 3]', '[13, 13, w + 6]', '[14, 14, w + 1]', '[14, 14, -w - 5]', '[14, 14, w - 6]', '[14, 14, w - 2]', '[16, 4, 4]', '[16, 8, -2*w + 8]', '[16, 8, -2*w - 6]', '[16, 16, -w]', '[16, 16, -w + 1]', '[18, 6, 3*w]', '[18, 6, 3*w + 3]', '[20, 10, 2*w + 4]', '[20, 20, w + 7]', '[20, 20, w + 12]', '[25, 5, 5]', '[26, 26, -w - 6]', '[26, 26, w - 7]', '[28, 14, 2*w + 2]', '[28, 14, 2*w + 10]', '[28, 28, w + 8]', '[28, 28, w + 12]', '[28, 28, w + 15]', '[28, 28, w + 19]', '[29, 29, -2*w + 7]', '[29, 29, 2*w + 5]', '[32, 8, 4*w]', '[32, 8, 4*w + 4]', '[32, 16, 2*w]', '[32, 16, 2*w + 14]', '[32, 32, w + 15]', '[32, 32, w + 16]', '[35, 35, -2*w + 11]', '[35, 35, 2*w + 9]', '[36, 6, 6]', '[36, 12, -3*w + 12]', '[36, 12, -3*w - 9]', '[37, 37, w + 9]', '[37, 37, w + 27]', '[40, 20, 2*w + 4]', '[40, 20, 2*w - 6]', '[40, 40, -w - 7]', '[40, 40, w - 8]', '[45, 15, 3*w + 6]', '[47, 47, w + 10]', '[47, 47, w + 36]', '[49, 7, 7]', '[49, 49, -2*w + 5]', '[49, 49, -2*w - 3]', '[50, 10, 5*w]', '[50, 10, 5*w + 5]', '[52, 26, 2*w + 12]', '[52, 52, w + 19]', '[52, 52, w + 32]', '[56, 28, 2*w + 2]', '[56, 28, -2*w - 10]', '[56, 28, 2*w - 12]', '[56, 28, 2*w - 4]', '[56, 56, -w - 8]', '[56, 56, 3*w - 11]', '[56, 56, 3*w + 8]', '[56, 56, w - 9]', '[58, 58, w + 11]', '[58, 58, w + 17]', '[58, 58, w + 40]', '[58, 58, w + 46]', '[61, 61, 2*w - 3]', '[61, 61, -2*w - 1]', '[63, 21, 3*w + 3]', '[63, 21, 3*w + 15]', '[64, 8, 8]', '[64, 16, -4*w + 16]', '[64, 16, -4*w - 12]', '[64, 32, -2*w]', '[64, 32, -2*w + 2]', '[64, 64, -3*w + 16]', '[64, 64, 3*w + 13]', '[65, 65, -2*w + 1]', '[67, 67, w + 23]', '[67, 67, w + 43]', '[70, 70, w + 12]', '[70, 70, w + 22]', '[70, 70, w + 47]', '[70, 70, w + 57]', '[72, 12, 6*w]', '[72, 12, 6*w + 6]', '[72, 24, 3*w]', '[72, 24, 3*w + 21]', '[73, 73, w + 24]', '[73, 73, w + 48]', '[74, 74, -w - 9]', '[74, 74, 3*w + 7]', '[74, 74, 3*w - 10]', '[74, 74, w - 10]', '[79, 79, 2*w - 13]', '[79, 79, -2*w - 11]', '[80, 20, 4*w + 8]', '[80, 40, 2*w + 14]', '[80, 40, 2*w + 24]', '[80, 80, w + 32]', '[80, 80, w + 47]', '[81, 9, 9]', '[83, 83, w + 13]', '[83, 83, w + 69]', '[90, 30, 3*w + 6]', '[90, 30, 3*w - 9]', '[91, 91, -4*w + 15]', '[91, 91, -4*w - 11]', '[94, 94, -w - 10]', '[94, 94, 7*w - 30]', '[94, 94, 7*w + 23]', '[94, 94, w - 11]', '[97, 97, w + 14]', '[97, 97, w + 82]', '[98, 14, 7*w]', '[98, 14, 7*w + 7]', '[98, 98, w + 22]', '[98, 98, w + 26]', '[98, 98, w + 71]', '[98, 98, w + 75]', '[100, 10, 10]', '[100, 20, -5*w + 20]', '[100, 20, -5*w - 15]', '[101, 101, 4*w - 21]', '[101, 101, 6*w - 25]', '[104, 52, -2*w - 12]', '[104, 52, 2*w - 14]', '[104, 104, 3*w - 8]', '[104, 104, 3*w + 5]', '[112, 28, 4*w + 4]', '[112, 28, 4*w + 20]', '[112, 56, 2*w + 16]', '[112, 56, 2*w + 24]', '[112, 56, 2*w + 30]', '[112, 56, 2*w + 38]', '[112, 112, w + 15]', '[112, 112, w + 47]', '[112, 112, w + 64]', '[112, 112, w + 96]', '[116, 58, -4*w + 14]', '[116, 58, 4*w + 10]', '[116, 116, w + 11]', '[116, 116, -3*w - 4]', '[116, 116, 3*w - 7]', '[116, 116, w - 12]', '[117, 39, 3*w + 18]', '[121, 11, -11]', '[122, 122, w + 29]', '[122, 122, w + 31]', '[122, 122, w + 90]', '[122, 122, w + 92]', '[125, 25, 5*w + 10]', '[126, 42, 3*w + 3]', '[126, 42, -3*w - 15]', '[126, 42, 3*w - 18]', '[126, 42, 3*w - 6]', '[128, 16, 8*w]', '[128, 16, 8*w + 8]', '[128, 32, 4*w]', '[128, 32, 4*w + 28]', '[128, 64, 2*w + 30]', '[128, 64, 2*w + 32]', '[128, 128, w + 16]', '[128, 128, w + 111]', '[130, 130, w + 32]', '[130, 130, w + 97]', '[131, 131, 2*w - 15]', '[131, 131, -2*w - 13]', '[134, 134, 7*w + 27]', '[134, 134, 3*w - 5]', '[134, 134, -3*w - 2]', '[134, 134, 7*w - 34]', '[137, 137, w + 52]', '[137, 137, w + 84]', '[139, 139, -4*w - 9]', '[139, 139, 4*w - 13]', '[140, 70, -4*w + 22]', '[140, 70, 4*w + 18]', '[140, 140, w + 12]', '[140, 140, -3*w - 1]', '[140, 140, -3*w + 4]', '[140, 140, -w + 13]', '[144, 12, 12]', '[144, 24, -6*w + 24]', '[144, 24, -6*w - 18]', '[144, 48, -3*w]', '[144, 48, -3*w + 3]', '[145, 145, w + 17]', '[145, 145, w + 127]', '[146, 146, 5*w - 26]', '[146, 146, 3*w - 2]', '[146, 146, 3*w - 1]', '[146, 146, -5*w - 21]', '[148, 74, 2*w + 18]', '[148, 74, 2*w + 54]', '[148, 148, w + 27]', '[148, 148, w + 64]', '[148, 148, w + 83]', '[148, 148, w + 120]', '[158, 158, w + 33]', '[158, 158, w + 45]', '[158, 158, w + 112]', '[158, 158, w + 124]', '[160, 40, 4*w + 8]', '[160, 40, 4*w - 12]', '[160, 80, -2*w - 14]', '[160, 80, 2*w - 16]', '[160, 160, 3*w - 19]', '[160, 160, -3*w - 16]', '[162, 18, 9*w]', '[162, 18, 9*w + 9]', '[163, 163, w + 18]', '[163, 163, w + 144]', '[166, 166, -w - 13]', '[166, 166, 5*w + 13]', '[166, 166, 5*w - 18]', '[166, 166, w - 14]', '[167, 167, w + 68]', '[167, 167, w + 98]', '[169, 13, 13]', '[175, 35, 5*w + 5]', '[175, 35, 5*w + 25]', '[179, 179, 4*w - 11]', '[179, 179, -4*w - 7]', '[180, 30, 6*w + 12]', '[180, 60, 3*w + 21]', '[180, 60, 3*w + 36]', '[181, 181, 4*w + 19]', '[181, 181, 10*w + 33]', '[182, 182, w + 19]', '[182, 182, w + 71]', '[182, 182, w + 110]', '[182, 182, w + 162]', '[185, 185, -6*w + 23]', '[185, 185, -6*w - 17]', '[188, 94, 2*w + 20]', '[188, 94, 2*w + 72]', '[188, 188, w + 36]', '[188, 188, w + 83]', '[188, 188, w + 104]', '[188, 188, w + 151]', '[191, 191, 2*w - 17]', '[191, 191, -2*w - 15]', '[193, 193, w + 39]', '[193, 193, w + 153]', '[194, 194, -w - 14]', '[194, 194, 9*w - 38]', '[194, 194, 9*w + 29]', '[194, 194, w - 15]', '[196, 14, 14]', '[196, 28, -7*w + 28]', '[196, 28, -7*w - 21]', '[196, 98, -4*w + 10]', '[196, 98, -4*w - 6]', '[196, 196, 3*w + 17]', '[196, 196, -5*w + 17]', '[196, 196, -5*w - 12]', '[196, 196, -3*w + 20]', '[197, 197, w + 79]', '[197, 197, w + 117]', '[199, 199, 6*w - 31]', '[199, 199, 8*w - 33]', '[200, 20, 10*w]', '[200, 20, 10*w + 10]', '[200, 40, 5*w]', '[200, 40, 5*w + 35]', '[202, 202, w + 20]', '[202, 202, w + 80]', '[202, 202, w + 121]', '[202, 202, w + 181]', '[203, 203, w + 40]', '[203, 203, w + 75]', '[203, 203, w + 127]', '[203, 203, w + 162]', '[208, 52, 4*w + 24]', '[208, 104, 2*w + 38]', '[208, 104, 2*w + 64]', '[208, 208, w + 32]', '[208, 208, w + 175]', '[211, 211, -4*w - 5]', '[211, 211, 4*w - 9]', '[223, 223, w + 21]', '[223, 223, w + 201]', '[224, 56, 4*w + 4]', '[224, 56, -4*w - 20]', '[224, 56, 4*w - 24]', '[224, 56, 4*w - 8]', '[224, 112, -2*w - 16]', '[224, 112, 6*w - 22]', '[224, 112, 6*w + 16]', '[224, 112, 2*w - 18]', '[224, 224, -w - 15]', '[224, 224, 5*w + 11]', '[224, 224, 5*w - 16]', '[224, 224, w - 16]', '[225, 15, 15]', '[227, 227, w + 67]', '[227, 227, w + 159]', '[232, 116, 2*w + 22]', '[232, 116, 2*w + 34]', '[232, 116, 2*w + 80]', '[232, 116, 2*w + 92]', '[232, 232, w + 40]', '[232, 232, w + 104]', '[232, 232, w + 127]', '[232, 232, w + 191]', '[234, 78, -3*w - 18]', '[234, 78, 3*w - 21]', '[235, 235, -4*w + 7]', '[235, 235, -4*w - 3]', '[242, 22, 11*w]', '[242, 22, 11*w + 11]', '[244, 122, 4*w - 6]', '[244, 122, -4*w - 2]', '[244, 244, 9*w + 35]', '[244, 244, -5*w + 28]', '[244, 244, -5*w - 23]', '[244, 244, 9*w - 44]', '[245, 35, 7*w + 14]', '[245, 245, w + 22]', '[245, 245, w + 222]', '[250, 50, 5*w + 10]', '[250, 50, 5*w - 15]', '[251, 251, -4*w - 1]', '[251, 251, 4*w - 5]', '[252, 42, 6*w + 6]', '[252, 42, 6*w + 30]', '[252, 84, 3*w + 24]', '[252, 84, 3*w + 36]', '[252, 84, 3*w + 45]', '[252, 84, 3*w + 57]', '[256, 16, 16]', '[256, 32, -8*w + 32]', '[256, 32, -8*w - 24]', '[256, 64, -4*w]', '[256, 64, -4*w + 4]', '[256, 128, -6*w + 32]', '[256, 128, 6*w + 26]', '[256, 256, w + 16]', '[256, 256, -w + 17]', '[259, 259, -4*w + 3]', '[259, 259, -2*w + 19]', '[259, 259, 2*w + 17]', '[259, 259, -4*w + 1]', '[260, 130, -4*w + 2]', '[260, 260, -7*w + 36]', '[260, 260, 7*w + 29]', '[261, 87, -6*w + 21]', '[261, 87, 6*w + 15]', '[262, 262, w + 58]', '[262, 262, w + 72]', '[262, 262, w + 189]', '[262, 262, w + 203]', '[268, 134, 2*w + 46]', '[268, 134, 2*w + 86]', '[268, 268, w + 23]', '[268, 268, w + 43]', '[268, 268, w + 224]', '[268, 268, w + 244]', '[269, 269, 4*w - 25]', '[269, 269, -4*w - 21]', '[274, 274, 5*w - 14]', '[274, 274, 3*w - 22]', '[274, 274, -3*w - 19]', '[274, 274, 5*w + 9]', '[278, 278, w + 37]', '[278, 278, w + 101]', '[278, 278, w + 176]', '[278, 278, w + 240]', '[280, 140, 2*w + 24]', '[280, 140, 2*w + 44]', '[280, 140, 2*w + 94]', '[280, 140, 2*w + 114]', '[280, 280, w + 47]', '[280, 280, w + 127]', '[280, 280, w + 152]', '[280, 280, w + 232]', '[288, 24, 12*w]', '[288, 24, 12*w + 12]', '[288, 48, 6*w]', '[288, 48, 6*w + 42]', '[288, 96, 3*w + 45]', '[288, 96, 3*w + 48]', '[289, 17, -17]', '[290, 290, w + 17]', '[290, 290, 7*w + 19]', '[290, 290, -7*w + 26]', '[290, 290, w - 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93]', '[8369, 8369, 8*w - 101]', '[8377, 8377, w + 129]', '[8377, 8377, w + 8247]', '[8387, 8387, w + 3742]', '[8387, 8387, w + 4644]', '[8389, 8389, -4*w - 91]', '[8389, 8389, 4*w - 95]', '[8443, 8443, w + 3403]', '[8443, 8443, w + 5039]', '[8501, 8501, 42*w - 163]', '[8501, 8501, 42*w + 121]', '[8513, 8513, w + 3667]', '[8513, 8513, w + 4845]', '[8543, 8543, w + 1806]', '[8543, 8543, w + 6736]', '[8573, 8573, w + 2901]', '[8573, 8573, w + 5671]', '[8581, 8581, 38*w - 141]', '[8581, 8581, -60*w + 289]', '[8609, 8609, -16*w - 105]', '[8609, 8609, 16*w - 121]', '[8627, 8627, w + 491]', '[8627, 8627, w + 8135]', '[8629, 8629, -20*w - 113]', '[8629, 8629, 20*w - 133]', '[8641, 8641, 62*w + 201]', '[8641, 8641, 62*w - 263]', '[8647, 8647, w + 1254]', '[8647, 8647, w + 7392]', '[8663, 8663, w + 832]', '[8663, 8663, w + 7830]', '[8677, 8677, w + 263]', '[8677, 8677, w + 8413]', '[8681, 8681, -26*w - 35]', '[8681, 8681, 26*w - 61]', '[8719, 8719, 32*w - 105]', '[8719, 8719, -32*w - 73]', '[8747, 8747, w + 782]', '[8747, 8747, w + 7964]', '[8761, 8761, -8*w - 95]', '[8761, 8761, 8*w - 103]', '[8779, 8779, 10*w - 107]', '[8779, 8779, -10*w - 97]', '[8783, 8783, w + 4222]', '[8783, 8783, w + 4560]', '[8803, 8803, w + 1333]', '[8803, 8803, w + 7469]', '[8807, 8807, w + 4298]', '[8807, 8807, w + 4508]', '[8831, 8831, -24*w - 11]', '[8831, 8831, 24*w - 35]', '[8839, 8839, 40*w - 151]', '[8839, 8839, 40*w + 111]', '[8849, 8849, -30*w - 61]', '[8849, 8849, 30*w - 91]', '[8887, 8887, w + 2436]', '[8887, 8887, w + 6450]', '[8923, 8923, w + 2734]', '[8923, 8923, w + 6188]', '[8933, 8933, w + 2000]', '[8933, 8933, w + 6932]', '[8941, 8941, 50*w + 153]', '[8941, 8941, 50*w - 203]', '[8963, 8963, w + 2303]', '[8963, 8963, w + 6659]', '[8969, 8969, 54*w - 223]', '[8969, 8969, 40*w - 207]', '[8971, 8971, 42*w - 215]', '[8971, 8971, 52*w - 213]', '[8999, 8999, -24*w - 7]', '[8999, 8999, 24*w - 31]', '[9007, 9007, w + 2057]', '[9007, 9007, w + 6949]', '[9043, 9043, w + 1953]', '[9043, 9043, w + 7089]', '[9049, 9049, 26*w - 57]', '[9049, 9049, -26*w - 31]', '[9067, 9067, w + 2103]', '[9067, 9067, w + 6963]', '[9091, 9091, 68*w - 291]', '[9091, 9091, 68*w + 223]', '[9109, 9109, 12*w - 113]', '[9109, 9109, -12*w - 101]', '[9133, 9133, w + 1564]', '[9133, 9133, w + 7568]', '[9137, 9137, w + 427]', '[9137, 9137, w + 8709]', '[9151, 9151, 2*w - 97]', '[9151, 9151, -2*w - 95]', '[9157, 9157, w + 2883]', '[9157, 9157, w + 6273]', '[9161, 9161, 8*w - 105]', '[9161, 9161, -8*w - 97]', '[9173, 9173, w + 4194]', '[9173, 9173, w + 4978]', '[9181, 9181, 34*w - 115]', '[9181, 9181, -34*w - 81]', '[9221, 9221, -26*w - 29]', '[9221, 9221, 26*w - 55]', '[9239, 9239, 24*w - 23]', '[9239, 9239, 24*w - 1]', '[9277, 9277, w + 953]', '[9277, 9277, w + 8323]', '[9281, 9281, 66*w - 281]', '[9281, 9281, 66*w + 215]', '[9293, 9293, w + 1756]', '[9293, 9293, w + 7536]', '[9311, 9311, 24*w - 19]', '[9311, 9311, 24*w - 5]', '[9323, 9323, w + 1066]', '[9323, 9323, w + 8256]', '[9397, 9397, w + 1218]', '[9397, 9397, w + 8178]', '[9421, 9421, 46*w + 135]', '[9421, 9421, 46*w - 181]', '[9433, 9433, w + 2210]', '[9433, 9433, w + 7222]', '[9439, 9439, 64*w - 271]', '[9439, 9439, 64*w + 207]', '[9461, 9461, 28*w - 163]', '[9461, 9461, -28*w - 135]', '[9491, 9491, 28*w - 71]', '[9491, 9491, -28*w - 43]', '[9497, 9497, w + 2522]', '[9497, 9497, w + 6974]', '[9539, 9539, 2*w - 99]', '[9539, 9539, -2*w - 97]', '[9547, 9547, w + 817]', '[9547, 9547, w + 8729]', '[9551, 9551, 48*w - 191]', '[9551, 9551, 48*w + 143]', '[9587, 9587, w + 3938]', '[9587, 9587, w + 5648]', '[9613, 9613, w + 1393]', '[9613, 9613, w + 8219]', '[9619, 9619, -18*w - 113]', '[9619, 9619, 18*w - 131]', '[9629, 9629, -20*w - 117]', '[9629, 9629, 20*w - 137]', '[9649, 9649, 50*w + 151]', '[9649, 9649, 50*w - 201]', '[9677, 9677, w + 3318]', '[9677, 9677, w + 6358]', '[9689, 9689, 26*w - 49]', '[9689, 9689, -26*w - 23]', '[9721, 9721, 40*w - 209]', '[9721, 9721, 58*w - 241]', '[9743, 9743, w + 3061]', '[9743, 9743, w + 6681]', '[9749, 9749, 44*w - 225]', '[9749, 9749, 54*w - 221]', '[9787, 9787, w + 523]', '[9787, 9787, w + 9263]', '[9811, 9811, -14*w - 107]', '[9811, 9811, 14*w - 121]', '[9817, 9817, w + 560]', '[9817, 9817, w + 9256]', '[9829, 9829, -26*w - 21]', '[9829, 9829, 26*w - 47]', '[9833, 9833, w + 280]', '[9833, 9833, w + 9552]', '[9851, 9851, 44*w - 169]', '[9851, 9851, 44*w + 125]', '[9871, 9871, -66*w + 317]', '[9871, 9871, 40*w - 147]', '[9887, 9887, w + 3389]', '[9887, 9887, w + 6497]', '[9929, 9929, 70*w - 299]', '[9929, 9929, 70*w + 229]', '[9931, 9931, 28*w - 67]', '[9931, 9931, -28*w - 39]', '[9941, 9941, -4*w - 99]', '[9941, 9941, 4*w - 103]', '[9949, 9949, 34*w - 111]', '[9949, 9949, -34*w - 77]', '[9973, 9973, w + 2785]', '[9973, 9973, w + 7187]']}
• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-16, -1, 1], 'conductor': 65, 'degree': 2, 'dirichlet_group': [1, 64], 'disc_abs': 65, 'disc_rad': 65, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [0]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 8.06225774829855, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.65.1', 'local_algs': ['5.1.2.1a1.2', '13.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [5, 13], 'rd': 8.0622577483, 'regulator': {'__RealLiteral__': 0, 'data': '2.77647228072', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 7 \\)'], 'used_grh': False, 'zk': ['1', 'a']}