Hilbert modular form data - 2.2.93.1-28.1-a

Formats: - HTML - YAML - JSON - 2025-12-30T16:08:58.490008

• 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': 93, 'field_bad_primes': [3, 31], 'field_label': '2.2.93.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.93.1-28.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [2, 7], 'level_ideal': '[28, 14, 2*w - 12]', 'level_label': '28.1', 'level_norm': 28, 'parallel_weight': 2, 'short_label': '28.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[4, 2, 2]', 1], ['[7, 7, w - 6]', -1]], 'hecke_eigenvalues': [1, -1, 1, -2, 3, -2, -3, 2, 0, 0, -4, -4, -4, 10, 0, 7, 6, -9, 3, -2, 6, -14, -10, 0, -17, -2, 4, -6, -15, -5, 2, -8, 18, -22, -16, 4, -3, -3, 10, 15, -20, -1, -21, -8, -18, -23, 12, 0, 30, -2, -2, 6, 16, 0, 30, -1, -31, -12, -7, 12, 12, 0, 25, 21, 6, -26, -11, -5, 10, -24, -9, 5, -5, 8, 3, -27, 18, -8, 12, 15, -15, 15, 15, -2, 13, 8, 13, 20, 15, 2, 7, 28, -17, -18, 22, 20, 0, 38, 3, 12, 12, 8, 13, 23, 13, -23, -48, 42, 42, 22, 32, 32, 12, -40, -30, -37, 8, -41, 24, -39, 36, 2, -28, 13, 38, -10, -50, -24, 26, -38, 2, -40, 0, 7, 7, -22, 28, -13, -8, 29, -26, 6, -19, -32, 58, 18, -42, -7, 28, 43, 18, -55, -10, 10, 45, -12, -22, -17, 8, 2, -23, 6, -24, -19, 21, 28, 3, -24, -19, -40, 25, -1, 9, -10, 0, 60, 30, -48, -53, 39, -56, 38, -17, -7, 28, 29, -41, 32, -38, 50, -10, 58, 58, -36, -46, -32, -47, 26, -14, -16, -26, -42, 28, -5, -10, 17, 12, -25, 35, 11, -34, -63, 52, 18, -27, 19, -26, 0, 40, -18, 32, 13, -2, -33, 22, 25, 70, 20, 74, 4, -5, 40, -25, 25, 22, 72, -17, -57, -8, -73, 35, 20, -20, -40, 63, 13, -44, -39, 68, -67, -42, 68, 77, 72, -55, 30, 2, 52, -2, -37, -16, -16, 7, 52, -18, 29, -16, -38, -73, -10, -50, -11, -46, -48, -13, 53, 38, -11, 79, -42, -42, -28, -38, -80, -38, 12, -17, 73, -52, -52, -78, 2, 40, -20, -40, -50, 81, 51, -45, -70, -80, 15, 29, 14, -63, 42, 18, 83, 72, 12, 5, -40, -10, 75, 54, -6, -54, 6, 75, 30, -45, 45, -12, 78, 14, -26, -30, -20, -11, -16, -55, -20, -56, 54, 2, 57, -35, 71, 21, 22, 22, -10, 30, -84, 21, 7, 42, -28, -63, -38, -28, 90, 40, 12, 22, 73, -37, 10, -30, -24, 71, -40, -30, 88, -77, -43, 17, 8, 8, 13, -12, -13, 42, -72, -37, 72, 22, 5, -25, -3, -63, 45, 45, -61, 34, 33, 88, 81, -19, -18, -33, -78, -73, 77, -28, 21, -14, 8, -2, 14, -66, 68, 18, 8, -37, 5, 60, 27, -83, -2, -62, 8, -42, -90, -50, 21, 26, -27, 83, -25, 20, 8, -52, -80, -60, -63, 32, 94, 74, 57, 2, 85, 30, 95, 45, 77, -58, 3, 68, 10, 80, 50, -110, -78, -58, 14, -26, 10, -30, 7, 42, -17, 98, 18, -2, 90, -10, 38, 18, -20, 100, -8, -3, 60, 60, 45, -60, 6, -94, -60, -10, 7, 57, -63, -8, -80, 5, -47, 8, -6, -66, -74, -34, 88, 73, -18, -63, 10, -10, -53, -53, -18, 28, 98, -78, 12, -94, -14, 67, 42, 112, -108, 40, -35, -41, 29, 67, -78, 21, 6, 32, -68, -12, -12, -21, 19, 73, 43, -68, -18, 78, -52, -77, 78, 105, -20, 55, 120, 22, -7, -57, 75, -50, 80, -25, 52, -18, -49, 66, -106, -91, -16, -61, -22, 28, -7, -82, -100, -60, 18, -57, 27, 7, 36, -24, -65, -10, 32, 82, -15, -70, -76, -116, 8, 28, -74, 51, 28, -47, 109, -26, 10, -20, -68, 57, 72, -103, -50, 40, -48, 2, -57, -112, -30, 30, -79, 31, -30, -60, 102, 92, -117, 38, 0, 15, -17, -32, -52, 68, 27, 57, -8, 42, -27, 28, -58, 92, 36, -79, 93, -117, 4, 14, 126, -39, 14, 4, -118, -63, -13, -38, 97, -113, 93, 103, -24, 81, -77, 88, 72, 42, 40, -80, -69, -84, -20, 40, 92, 32, -72, -52, 16, 46, -60, 60, -19, -49, -49, -99, -80, -35, 4, -41, 12, 22, -56, -136, 67, -13, -28, 47, 100, 90, -21, 109, 80, -45, -96, -21, 3, -57, 70, -65, -74, 6, 44, -76, -85, -90, -34, -104, -88, 12, -102, 58, 49, -46, 75, -105, -8, 48, 23, 52, -128, 80, 120, -100, -35, 40, -30, -100, 60, -97, 18, -55, -90, -77, -7, -32, -57, -6, 114, 127, -133, 78, -72, -84, -34, -63, 132, -90, 27, -48, -14, 66, -121, 39, 2, 82, -85, 50, 79, -76, 98, -72, -63, 12, -4, -4, -46, -11, 88, 58, 48, 113, 38, -92, 4, 139, 5, -30, 76, 26, 7, 67, 48, -27, -122, 38, -33, 2, 15, -60, -91, -16, -5, -70, 62, 67, 52, -63, -2, 108, 18, -142, 94, 24, 5, 135, 66, 81, 112, -93, -24, -14, 90, -90, -10, 5, -64, 21, -131, 24, -18, -138, 4, 14, -27, -122, 110, -5, 64, 124, -105, 60, 126, -134, 22, -38, 98, 18, -61, -21, 46, 76, 88, -82, -118, -7, 73, 72, -63, -78, 72, 30, 90, 117, -13, -3, -78, 26, 156, 154, 59, -14, -44, -21, 24, -60, 130, 112, -28, -112, 43, 7, -118, 98, 108, -22, 8, 0, -25, 91, -124, 18, 53, 80, -120, 108, -122, 70, -105, -66, 34, -90, -115, 45, -65, -16, 89, -100, -80, 33, -42, 4, -46, 15, 25, -6, -51, 65, 125, -84, 6, -98, 92, -129, -9, 72, -28, -66, -161, -90, -60, -52, -147, 88, -57, -108, -158, 30, -140, 90, 25, -147, 103, 62, -148, 23, 123, -20, -120, 65, -70, -104, -39, 18, 68, -50, -115, 140, 45, -42, 38, 58, -107, 53, -62, 92, -108, -40, -15, 68, -67, 94, 44, -13, -28, -114, 6, -74, -114, -113, 92, 52, -18, 78, 73, -8, 27, -28, -28, -17, 43, -14, -24, 48, -102, 57, 67, -45, 140, -95, 100, 3, -52, 142, -93, 76, 11, 110, -10, -152, -47, 130, -30, 130, 20, 32, -118, -126, -31, 12, 102, -91, -36, 82, 102, -74, 96, -55, -50, -12, -132, 66, -4, -106, 124, 80, 40, -50, -125, 111, -149, -124, 6, 0, 35, -22, 68, 57, 97, 115, -150, 78, 8, 139, -91, -110, -10, -45, 95, -62, 53, -122, 173, 32, -68, 27, -43, 42, -78, -128, 137, 128, 103, -28, -103, 110, -35, -1, 154, -3, 92, 51, 56, -107, -32, 94, -121, 23, -2, 109, 69, -54, 126, 90, 80, -92, 78, -118, -108, -10, 70, 85, 35, -34, 121, -153, 52, 93, -182, 13, -142, 112, 142, -5, -80, 119, -136, 76, -59, -118, 52, 30, 125, 99, -76, -92, -62, 40, -30, -94, -89, 14, 74, 140, -55, 142, 12, 58, -22, -74, -39, -8, 22, -18, -33, -45, 45, 28, 58, -75, -175, 103, -122, 64, -66, -10, 70, -52, -102, -72, 123, -90, 130, 152, -78, 44, 19, -46, -151, 62, 122, 37, -43, 161, -39, -172, -92, 88, -37, -106, 4, -114, -4, 63, -12, 70, 165, 121, -84, -145, 150, 162, 152, 123, -62, -176, -171, -75, -160, -23, 22, -146, -106, -158, -48, 33, -22, -176, 34, -28, 92, 75, -60, 82, -138, 152, -48, -100, -130, 133, -112, 150, -35, 56, -24, 164, 59, -190, 70, 142, 57, -85, -65, 75, 15, -22, -62, 22, 97, -140, -125, -120, 45, 110, 180, 92, -58, -42, -92, 115, -70, -89, 106, -145, 30, -52, 123, 17, 27, 105, 35, -56, -86, 42, -118, 138, 83, -24, -124, -87, 153, 123, 113], 'hecke_polynomial': 'x', 'label': '2.2.93.1-28.1-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 93, 'ideals': ['[1, 1, 1]', '[3, 3, -w + 5]', '[4, 2, 2]', '[7, 7, w - 6]', '[7, 7, -w - 5]', '[9, 3, 3]', '[11, 11, -w - 3]', '[11, 11, w - 4]', '[12, 6, -2*w + 10]', '[16, 4, 4]', '[17, 17, w + 2]', '[17, 17, w - 3]', '[19, 19, w + 6]', '[19, 19, -w + 7]', '[21, 21, w + 1]', '[21, 21, w - 2]', '[23, 23, w]', '[23, 23, w - 1]', '[25, 5, -5]', '[27, 9, -3*w + 15]', '[28, 14, 2*w - 12]', '[28, 14, -2*w - 10]', '[29, 29, -2*w + 9]', '[29, 29, 2*w + 7]', '[31, 31, 3*w - 17]', '[33, 33, -w - 7]', '[33, 33, -w + 8]', '[36, 6, 6]', '[44, 22, -2*w - 6]', '[44, 22, 2*w - 8]', '[48, 12, -4*w + 20]', '[49, 7, 7]', '[49, 49, w + 8]', '[49, 49, -w + 9]', '[51, 51, 2*w - 13]', '[51, 51, -2*w - 11]', '[53, 53, 3*w - 14]', '[53, 53, -3*w - 11]', '[57, 57, -2*w + 7]', '[57, 57, -2*w - 5]', '[63, 21, 3*w - 18]', '[63, 21, -3*w - 15]', '[64, 8, 8]', '[67, 67, -w - 9]', '[67, 67, w - 10]', '[68, 34, 2*w + 4]', '[68, 34, 2*w - 6]', '[69, 69, -4*w - 19]', '[69, 69, 4*w - 23]', '[75, 15, 5*w - 25]', '[76, 38, 2*w + 12]', '[76, 38, -2*w + 14]', '[77, 77, -3*w - 10]', '[77, 77, 2*w - 5]', '[77, 77, -2*w - 3]', '[77, 77, 3*w - 13]', '[81, 9, 9]', '[83, 83, 4*w - 19]', '[83, 83, 7*w - 36]', '[84, 42, 2*w + 2]', '[84, 42, 2*w - 4]', '[87, 87, -17*w + 91]', '[87, 87, w - 11]', '[89, 89, 2*w - 3]', '[89, 89, -2*w - 1]', '[92, 46, 2*w]', '[92, 46, 2*w - 2]', '[93, 93, 2*w - 1]', '[97, 97, 3*w - 19]', '[97, 97, -3*w - 16]', '[99, 33, -3*w - 9]', '[99, 33, 3*w - 12]', '[100, 10, -10]', '[103, 103, 2*w - 15]', '[103, 103, -2*w - 13]', '[108, 18, -6*w + 30]', '[109, 109, -w - 11]', '[109, 109, w - 12]', '[112, 28, 4*w - 24]', '[112, 28, -4*w - 20]', '[116, 58, -4*w + 18]', '[116, 58, 4*w + 14]', '[119, 119, -5*w + 24]', '[119, 119, -3*w + 11]', '[119, 119, -3*w - 8]', '[119, 119, -5*w - 19]', '[121, 11, 11]', '[121, 121, 5*w + 24]', '[121, 121, -5*w + 29]', '[124, 62, 6*w - 34]', '[132, 66, -2*w - 14]', '[132, 66, -2*w + 16]', '[133, 133, -w - 12]', '[133, 133, -3*w - 17]', '[133, 133, 3*w - 20]', '[133, 133, w - 13]', '[137, 137, -3*w - 7]', '[137, 137, 3*w - 10]', '[144, 12, 12]', '[147, 21, -7*w + 35]', '[147, 147, -4*w - 13]', '[147, 147, -4*w + 17]', '[153, 51, 3*w + 6]', '[153, 51, 3*w - 9]', '[157, 157, -4*w + 25]', '[157, 157, 4*w + 21]', '[159, 159, 26*w - 139]', '[159, 159, -w + 14]', '[161, 161, -6*w + 29]', '[161, 161, -5*w - 18]', '[161, 161, -5*w + 23]', '[161, 161, -6*w - 23]', '[163, 163, 2*w - 17]', '[163, 163, -2*w - 15]', '[167, 167, 3*w - 8]', '[167, 167, -3*w - 5]', '[169, 13, -13]', '[171, 57, 3*w + 18]', '[171, 57, -3*w + 21]', '[175, 35, -5*w + 30]', '[175, 35, 5*w + 25]', '[176, 44, -4*w - 12]', '[176, 44, 4*w - 16]', '[179, 179, -3*w - 4]', '[179, 179, 3*w - 7]', '[187, 187, -w - 14]', '[187, 187, -6*w - 29]', '[187, 187, -6*w + 35]', '[187, 187, -w + 15]', '[189, 63, 3*w + 3]', '[189, 63, 3*w - 6]', '[192, 24, -8*w + 40]', '[193, 193, 7*w - 40]', '[193, 193, 8*w - 45]', '[196, 14, 14]', '[196, 98, 2*w + 16]', '[196, 98, -2*w + 18]', '[197, 197, 3*w - 5]', '[197, 197, -3*w - 2]', '[201, 201, 5*w - 22]', '[201, 201, 14*w - 73]', '[203, 203, -19*w - 81]', '[203, 203, 3*w + 1]', '[203, 203, -3*w + 4]', '[203, 203, 19*w - 100]', '[204, 102, 4*w - 26]', '[204, 102, -4*w - 22]', '[207, 69, 3*w]', '[207, 69, 3*w - 3]', '[209, 209, -7*w + 34]', '[209, 209, -3*w + 2]', '[209, 209, 3*w - 1]', '[209, 209, 7*w + 27]', '[211, 211, 3*w - 22]', '[211, 211, -3*w - 19]', '[212, 106, 6*w - 28]', '[212, 106, -6*w - 22]', '[217, 217, w + 15]', '[217, 217, -w + 16]', '[225, 15, -15]', '[228, 114, -4*w + 14]', '[228, 114, -4*w - 10]', '[231, 231, -5*w + 31]', '[231, 231, -2*w + 19]', '[231, 231, -2*w - 17]', '[231, 231, -5*w - 26]', '[239, 239, 17*w - 89]', '[239, 239, 5*w - 21]', '[243, 27, -9*w + 45]', '[249, 249, -w - 16]', '[249, 249, w - 17]', '[251, 251, -4*w - 9]', '[251, 251, 4*w - 13]', '[252, 42, 6*w - 36]', '[252, 42, -6*w - 30]', '[253, 253, -4*w - 23]', '[253, 253, -3*w - 20]', '[253, 253, -3*w + 23]', '[253, 253, -4*w + 27]', '[256, 16, 16]', '[261, 87, -6*w + 27]', '[261, 87, 6*w + 21]', '[263, 263, 8*w - 39]', '[263, 263, 11*w - 56]', '[267, 267, 11*w - 61]', '[267, 267, -7*w + 41]', '[268, 134, -2*w - 18]', '[268, 134, 2*w - 20]', '[269, 269, 13*w - 67]', '[269, 269, 7*w - 33]', '[272, 68, 4*w + 8]', '[272, 68, 4*w - 12]', '[275, 55, 5*w + 15]', '[275, 55, -5*w + 20]', '[276, 138, -8*w - 38]', '[276, 138, 8*w - 46]', '[279, 93, 9*w - 51]', '[283, 283, -w - 17]', '[283, 283, w - 18]', '[289, 17, 17]', '[289, 289, 5*w + 27]', '[289, 289, -5*w + 32]', '[291, 291, 4*w - 11]', '[291, 291, 31*w - 164]', '[297, 99, -3*w - 21]', '[297, 99, -3*w + 24]', '[300, 30, 10*w - 50]', '[304, 76, 4*w + 24]', '[304, 76, -4*w + 28]', '[307, 307, 2*w - 21]', '[307, 307, -2*w - 19]', '[308, 154, -6*w - 20]', '[308, 154, 4*w - 10]', '[308, 154, -4*w - 6]', '[308, 154, 6*w - 26]', '[309, 309, 5*w - 19]', '[309, 309, 23*w - 121]', '[319, 319, w + 18]', '[319, 319, -15*w - 67]', '[319, 319, 15*w - 82]', '[319, 319, -w + 19]', '[323, 323, 9*w - 44]', '[323, 323, 4*w + 5]', '[323, 323, 4*w - 9]', '[323, 323, 9*w + 35]', '[324, 18, 18]', '[327, 327, 16*w - 83]', '[327, 327, 7*w - 32]', '[332, 166, 8*w - 38]', '[332, 166, 14*w - 72]', '[336, 84, 4*w + 4]', '[336, 84, 4*w - 8]', '[341, 341, -5*w - 13]', '[341, 341, 5*w - 18]', '[343, 49, 7*w - 42]', '[343, 49, -7*w - 35]', '[343, 343, 3*w - 25]', '[343, 343, -3*w - 22]', '[347, 347, 4*w - 7]', '[347, 347, -4*w - 3]', '[348, 174, -34*w + 182]', '[348, 174, 2*w - 22]', '[349, 349, 5*w - 33]', '[349, 349, -19*w + 103]', '[353, 353, 21*w - 110]', '[353, 353, 6*w - 25]', '[356, 178, 4*w - 6]', '[356, 178, -4*w - 2]', '[357, 357, w + 19]', '[357, 357, -4*w + 29]', '[357, 357, 4*w + 25]', '[357, 357, -w + 20]', '[361, 19, 19]', '[361, 361, 8*w + 39]', '[361, 361, -8*w + 47]', '[363, 33, 11*w - 55]', '[363, 363, -4*w - 1]', '[363, 363, -4*w + 5]', '[368, 92, 4*w]', '[368, 92, 4*w - 4]', '[371, 371, 4*w - 3]', '[371, 371, 5*w - 17]', '[371, 371, -29*w + 153]', '[371, 371, -4*w + 1]', '[372, 186, 4*w - 2]', '[373, 373, -9*w + 52]', '[373, 373, 12*w - 67]', '[379, 379, 10*w - 57]', '[379, 379, 11*w - 62]', '[383, 383, -7*w + 31]', '[383, 383, -19*w + 99]', '[388, 194, 6*w - 38]', '[388, 194, -6*w - 32]', '[389, 389, 10*w - 49]', '[389, 389, 13*w - 66]', '[391, 391, 3*w + 23]', '[391, 391, -2*w + 23]', '[391, 391, 2*w + 21]', '[391, 391, -3*w + 26]', '[396, 66, -6*w - 18]', '[396, 66, 6*w - 24]', '[397, 397, -w - 20]', '[397, 397, w - 21]', '[399, 399, 5*w + 11]', '[399, 399, 8*w - 37]', '[399, 399, 8*w + 29]', '[399, 399, 5*w - 16]', '[400, 20, -20]', '[401, 401, 15*w - 77]', '[401, 401, 9*w - 43]', '[411, 411, 22*w - 119]', '[411, 411, -5*w + 34]', '[412, 206, 4*w - 30]', '[412, 206, -4*w - 26]', '[421, 421, -7*w + 43]', '[421, 421, 7*w + 36]', '[425, 85, -5*w - 10]', '[425, 85, -5*w + 15]', '[432, 36, -12*w + 60]', '[436, 218, -2*w - 22]', '[436, 218, 2*w - 24]', '[437, 437, 6*w - 23]', '[437, 437, 7*w - 30]', '[437, 437, 7*w + 23]', '[437, 437, 6*w + 17]', '[439, 439, -w - 21]', '[439, 439, w - 22]', '[441, 21, 21]', '[441, 147, 3*w + 24]', '[441, 147, -3*w + 27]', '[448, 56, 8*w - 48]', '[448, 56, -8*w - 40]', '[449, 449, 5*w - 14]', '[449, 449, -5*w - 9]', '[459, 153, 6*w - 39]', '[459, 153, -6*w - 33]', '[461, 461, 11*w - 54]', '[461, 461, 14*w - 71]', '[464, 116, -8*w + 36]', '[464, 116, 8*w + 28]', '[469, 469, -15*w + 83]', '[469, 469, 4*w + 27]', '[469, 469, -4*w + 31]', '[469, 469, 15*w + 68]', '[471, 471, -5*w - 8]', '[471, 471, -5*w + 13]', '[475, 95, -5*w - 30]', '[475, 95, 5*w - 35]', '[476, 238, -10*w + 48]', '[476, 238, -6*w + 22]', '[476, 238, -6*w - 16]', '[476, 238, -10*w - 38]', '[477, 159, 9*w - 42]', '[477, 159, -9*w - 33]', '[483, 483, w + 22]', '[483, 483, -2*w + 25]', '[483, 483, 2*w + 23]', '[483, 483, -w + 23]', '[484, 22, 22]', '[484, 242, 10*w + 48]', '[484, 242, -10*w + 58]', '[489, 489, 25*w - 131]', '[489, 489, 7*w - 29]', '[491, 491, 5*w - 12]', '[491, 491, -5*w - 7]', '[493, 493, 3*w - 28]', '[493, 493, 13*w - 73]', '[493, 493, 13*w + 60]', '[493, 493, 3*w + 25]', '[496, 124, 12*w - 68]', '[501, 501, 20*w - 109]', '[501, 501, -7*w + 44]', '[507, 39, 13*w - 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132]', '[8293, 8293, 23*w - 155]', '[8317, 8317, 11*w - 111]', '[8317, 8317, -11*w - 100]', '[8353, 8353, 72*w - 395]', '[8353, 8353, -33*w + 200]', '[8363, 8363, 19*w - 15]', '[8363, 8363, 19*w - 4]', '[8369, 8369, -25*w - 66]', '[8369, 8369, 25*w - 91]', '[8377, 8377, -19*w - 120]', '[8377, 8377, 19*w - 139]', '[8387, 8387, 19*w - 7]', '[8387, 8387, 19*w - 12]', '[8389, 8389, 20*w - 143]', '[8389, 8389, -20*w - 123]', '[8419, 8419, 9*w - 106]', '[8419, 8419, -9*w - 97]', '[8423, 8423, 29*w - 120]', '[8423, 8423, -29*w - 91]', '[8447, 8447, -21*w - 32]', '[8447, 8447, 21*w - 53]', '[8467, 8467, -34*w + 205]', '[8467, 8467, 71*w - 390]', '[8527, 8527, 63*w - 349]', '[8527, 8527, -39*w + 229]', '[8537, 8537, -97*w + 507]', '[8537, 8537, 31*w - 133]', '[8539, 8539, 5*w - 98]', '[8539, 8539, -5*w - 93]', '[8563, 8563, 7*w - 102]', '[8563, 8563, -7*w - 95]', '[8573, 8573, 37*w - 171]', '[8573, 8573, -37*w - 134]', '[8581, 8581, 23*w - 156]', '[8581, 8581, -23*w - 133]', '[8609, 8609, 38*w - 177]', '[8609, 8609, 77*w - 398]', '[8623, 8623, -9*w - 98]', '[8623, 8623, 9*w - 107]', '[8677, 8677, 69*w - 380]', '[8677, 8677, -36*w + 215]', '[8689, 8689, 16*w - 129]', '[8689, 8689, -16*w - 113]', '[8693, 8693, -21*w - 29]', '[8693, 8693, 21*w - 50]', '[8713, 8713, 8*w - 105]', '[8713, 8713, -8*w - 97]', '[8719, 8719, -w - 93]', '[8719, 8719, w - 94]', '[8731, 8731, -5*w - 94]', '[8731, 8731, 5*w - 99]', '[8741, 8741, -35*w - 123]', '[8741, 8741, 35*w - 158]', '[8753, 8753, 22*w - 61]', '[8753, 8753, -22*w - 39]', '[8761, 8761, 7*w - 103]', '[8761, 8761, -7*w - 96]', '[8807, 8807, 33*w - 145]', '[8807, 8807, 33*w + 112]', '[8819, 8819, 28*w - 111]', '[8819, 8819, -28*w - 83]', '[8831, 8831, -25*w - 63]', '[8831, 8831, 25*w - 88]', '[8839, 8839, -29*w + 183]', '[8839, 8839, 29*w + 154]', '[8861, 8861, 45*w - 218]', '[8861, 8861, 66*w - 337]', '[8863, 8863, 67*w - 370]', '[8863, 8863, -38*w + 225]', '[8929, 8929, -21*w - 128]', '[8929, 8929, 21*w - 149]', '[8951, 8951, 61*w - 309]', '[8951, 8951, 49*w - 241]', '[9011, 9011, -20*w - 7]', '[9011, 9011, 20*w - 27]', '[9049, 9049, -15*w - 112]', '[9049, 9049, 15*w - 127]', '[9091, 9091, 33*w + 169]', '[9091, 9091, -33*w + 202]', '[9103, 9103, -3*w - 95]', '[9103, 9103, 3*w - 98]', '[9133, 9133, -93*w + 505]', '[9133, 9133, -27*w + 175]', '[9137, 9137, 22*w - 57]', '[9137, 9137, -22*w - 35]', '[9181, 9181, -13*w - 108]', '[9181, 9181, 13*w - 121]', '[9203, 9203, -28*w - 81]', '[9203, 9203, 28*w - 109]', '[9277, 9277, 61*w - 340]', '[9277, 9277, -44*w + 255]', '[9281, 9281, 39*w - 181]', '[9281, 9281, -39*w - 142]', '[9283, 9283, -17*w - 118]', '[9283, 9283, 17*w - 135]', '[9293, 9293, 27*w - 101]', '[9293, 9293, -27*w - 74]', '[9311, 9311, 79*w - 408]', '[9311, 9311, 40*w - 187]', '[9319, 9319, -5*w - 97]', '[9319, 9319, 5*w - 102]', '[9323, 9323, 21*w - 41]', '[9323, 9323, -21*w - 20]', '[9349, 9349, 76*w - 417]', '[9349, 9349, -35*w + 212]', '[9377, 9377, 59*w - 297]', '[9377, 9377, 53*w - 263]', '[9397, 9397, 11*w - 116]', '[9397, 9397, -11*w - 105]', '[9403, 9403, 58*w - 325]', '[9403, 9403, 47*w - 270]', '[9419, 9419, 25*w - 84]', '[9419, 9419, -25*w - 59]', '[9421, 9421, -12*w - 107]', '[9421, 9421, 12*w - 119]', '[9433, 9433, 48*w - 275]', '[9433, 9433, 57*w - 320]', '[9437, 9437, 23*w - 65]', '[9437, 9437, -23*w - 42]', '[9461, 9461, 31*w - 129]', '[9461, 9461, -31*w - 98]', '[9463, 9463, 33*w + 170]', '[9463, 9463, -33*w + 203]', '[9467, 9467, -27*w - 73]', '[9467, 9467, 27*w - 100]', '[9479, 9479, -37*w - 131]', '[9479, 9479, 37*w - 168]', '[9497, 9497, -21*w - 17]', '[9497, 9497, 21*w - 38]', '[9511, 9511, 2*w - 99]', '[9511, 9511, -2*w - 97]', '[9539, 9539, 68*w - 347]', '[9539, 9539, 47*w - 228]', '[9551, 9551, -21*w - 16]', '[9551, 9551, 21*w - 37]', '[9619, 9619, -11*w - 106]', '[9619, 9619, 11*w - 117]', '[9623, 9623, 51*w - 251]', '[9623, 9623, 63*w - 319]', '[9643, 9643, -13*w - 110]', '[9643, 9643, 13*w - 123]', '[9649, 9649, 25*w - 168]', '[9649, 9649, -104*w + 563]', '[9661, 9661, -28*w + 181]', '[9661, 9661, -95*w + 516]', '[9679, 9679, -w - 98]', '[9679, 9679, w - 99]', '[9689, 9689, -30*w - 91]', '[9689, 9689, 30*w - 121]', '[9697, 9697, 19*w - 144]', '[9697, 9697, -19*w - 125]', '[9721, 9721, -5*w - 99]', '[9721, 9721, 5*w - 104]', '[9739, 9739, -35*w + 213]', '[9739, 9739, 79*w - 433]', '[9749, 9749, 23*w - 62]', '[9749, 9749, -23*w - 39]', '[9769, 9769, -21*w - 131]', '[9769, 9769, 21*w - 152]', '[9781, 9781, -7*w - 101]', '[9781, 9781, 7*w - 108]', '[9791, 9791, -21*w - 11]', '[9791, 9791, 21*w - 32]', '[9829, 9829, -4*w - 99]', '[9829, 9829, 4*w - 103]', '[9833, 9833, 21*w - 31]', '[9833, 9833, -21*w - 10]', '[9839, 9839, 25*w - 81]', '[9839, 9839, -25*w - 56]', '[9851, 9851, 29*w - 113]', '[9851, 9851, -29*w - 84]', '[9857, 9857, 38*w - 173]', '[9857, 9857, -38*w - 135]', '[9859, 9859, 29*w + 157]', '[9859, 9859, -29*w + 186]', '[9883, 9883, -103*w + 558]', '[9883, 9883, -26*w + 173]', '[9887, 9887, 48*w - 233]', '[9887, 9887, 69*w - 352]', '[9907, 9907, 2*w - 101]', '[9907, 9907, -2*w - 99]', '[9923, 9923, -39*w - 140]', '[9923, 9923, 39*w - 179]', '[9941, 9941, 26*w - 89]', '[9941, 9941, -26*w - 63]', '[9967, 9967, 19*w - 145]', '[9967, 9967, -19*w - 126]']}
• 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': [-23, -1, 1], 'conductor': 93, 'degree': 2, 'dirichlet_group': [1, 92], 'disc_abs': 93, 'disc_rad': 93, 'disc_sign': 1, 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [0]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [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': 9.643650760992955, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.93.1', 'local_algs': ['3.1.2.1a1.2', '31.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [3, 31], 'rd': 9.64365076099, 'regulator': {'__RealLiteral__': 0, 'data': '3.36610464293', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 3 a + 13 \\)'], 'used_grh': False, 'zk': ['1', 'a']}