Hilbert modular form data - 2.2.93.1-81.1-m

Formats: - HTML - YAML - JSON - 2024-06-11T12:53:13.382293

• 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': 'yes', 'label': '2.2.93.1-81.1-m', 'label_nsuffix': 12, 'label_suffix': 'm', 'level_bad_primes': [3], 'level_ideal': '[81, 9, 9]', 'level_label': '81.1', 'level_norm': 81, 'parallel_weight': 2, 'short_label': '81.1-m', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3, 3, -w + 5]', 1]], 'hecke_eigenvalues': [0, 1, 2, 2, 6, 6, -3, -3, 4, 4, 6, 6, -2, -6, -6, 4, -9, -9, -14, -14, 6, 6, -15, -15, 11, 11, 10, 10, 5, 5, 18, 18, 1, 1, 14, 14, -18, -18, 26, 0, 0, -17, -17, -9, -9, 26, 26, -6, -6, 6, 6, 12, 12, -21, -21, 14, 14, -32, -32, -12, -12, 1, 1, -18, -18, 17, 17, -16, -16, -12, -12, -21, -21, 5, 5, 18, 18, -11, -11, -20, -20, 21, 21, -33, -33, 12, 12, 30, 30, 13, 13, 34, 34, 3, 3, -15, -15, 7, 7, 42, 42, 22, 22, 9, 9, -6, -6, -19, -19, -30, -30, 20, 20, 24, 24, -52, -52, 1, 1, 12, 12, -8, -8, -27, -27, -17, -17, 18, 18, 15, 15, -27, -27, 16, 16, 27, 27, -18, -18, 10, 10, -6, -6, 1, 1, 42, 42, 52, 52, -48, -48, -38, -38, -3, -3, -2, -2, -9, -9, 18, 18, 45, 45, 24, 24, -43, -43, 27, 27, -24, -24, 38, 38, 8, 8, -30, -30, 2, 2, 20, 20, -2, -2, -42, -42, 26, 26, 6, 6, -30, -30, -7, -7, 34, 34, -9, -9, -51, -51, 1, 1, -58, -58, 11, 11, 51, 51, -22, -22, -36, -36, 44, 44, -57, -57, 26, 26, 12, 12, -2, -2, -32, -32, -42, -42, 74, -64, -64, 22, 22, -42, -42, 50, 50, 64, 64, -42, -42, 66, 66, 19, 19, 36, 36, -18, -18, 21, 21, 18, 18, -35, -35, 48, 48, 79, 79, -58, -58, -49, -49, -62, -62, -54, -54, 70, -59, -59, -27, -27, -34, -34, -4, -4, 5, 5, -17, -17, 4, 4, -36, -36, 10, 10, 59, -2, -2, -28, -28, 0, 0, 27, 27, -10, -10, -6, -6, -3, -3, -21, -21, 36, 36, -50, -50, 30, 30, -29, -29, 12, 12, 53, 53, 72, 72, 41, 41, -36, -36, 15, 15, 42, 42, -42, -42, -65, -65, 33, 33, -68, -68, -14, -14, 34, 34, -12, -12, 67, 66, 66, -11, -11, -20, -20, -36, -36, 68, 68, -10, -10, 66, 66, -57, -57, -7, -7, 66, 66, -71, -71, -6, -6, -42, -42, 30, 30, -75, -75, -2, -2, 57, 57, -66, -66, -4, -4, 7, 7, -56, -56, -46, -46, 90, 90, -41, -41, 3, 3, 18, 18, -87, -87, 2, 2, -42, -42, 15, 15, 62, 62, -41, -41, -78, -78, 68, 68, 51, 51, 14, 14, -91, -91, -15, -15, 54, 54, -12, -12, -53, -53, -54, -54, 34, 34, -9, -9, 42, 42, -86, -86, 66, 66, 18, 18, -66, -66, 35, 35, 30, 30, -38, -38, -59, -59, -39, -39, -10, -10, 95, 95, 85, 85, -16, -16, -72, -72, 29, 29, 18, 18, 32, 32, -10, -10, 18, 18, -52, -52, 0, 0, -75, -75, 32, 32, 72, 72, 102, 102, -24, -24, -98, -98, -33, -33, 23, 23, 6, 6, 82, 82, 115, -32, -32, 62, 62, -6, -6, 75, 75, -50, -50, -33, -33, 62, 62, -22, -22, -51, -51, -30, -30, 40, 40, -86, -86, 44, 44, -18, -18, -2, -2, -25, -25, 51, 51, 86, 86, 24, 24, 122, 58, 58, -64, -64, 43, 43, 42, 42, -24, -24, -8, -8, 49, 49, -70, -70, -87, -87, -13, -13, 76, 76, -30, -30, 42, 42, -3, -3, 52, 52, 75, 75, -70, -70, 44, 44, 21, 21, 108, 108, 73, 73, -26, -26, -100, -100, 66, 66, -40, -40, -70, -70, 54, 54, 15, 15, -30, -30, -42, -42, 37, 37, 78, 78, 66, 66, -73, -73, -62, -62, -9, -9, 91, 91, 2, 2, -123, -123, -60, -60, 21, 21, -22, -22, 66, 66, 131, 131, 27, 27, -42, -42, 7, 7, -8, -8, -12, -12, -55, -55, 85, 85, 64, 64, 84, 84, 21, 21, -62, -62, -37, -37, -51, -51, 90, 90, 0, 0, -57, -57, -2, -2, 44, 44, 24, 24, 61, 61, 30, 30, 49, 49, 18, 18, 116, 116, -114, -114, -58, -58, 65, 65, 59, 59, -57, -57, -109, -109, -44, -44, -84, -84, 62, 62, 27, 27, -32, -32, -24, -24, 139, 96, 96, 96, 96, -18, -18, 118, 118, -58, -58, 99, 99, -82, -82, -25, -25, -110, -110, 0, 0, -77, -77, -69, -69, 90, 90, -87, -87, 117, 117, 38, 12, 12, 9, 9, 37, 37, 117, 117, -40, -40, 110, 110, -90, -90, 15, 15, 36, 36, 100, 100, -112, -112, 60, 60, 118, 118, -56, -56, 83, 83, -30, -30, 85, 85, 114, 114, -22, -22, 66, 66, -81, -81, 62, 62, -61, -61, -23, -23, 102, 102, 62, 62, -57, -57, 68, 68, 10, 10, -66, -66, -64, -64, 24, 24, 21, 21, 77, 77, -48, -48, 22, 22, -84, -84, -113, -113, -105, -105, 135, 135, 47, 47, 117, 117, -150, -150, -29, -29, -42, -42, -142, -142, -60, -60, -81, -81, -85, 4, 4, 66, 66, -88, -88, -114, -114, 61, 61, 15, 15, 96, 96, -88, -88, -75, -75, 86, 86, -21, -21, 53, 53, -122, -122, -5, -5, 120, 120, 6, 6, 107, 107, 12, 12, -29, -29, -150, -150, -52, -52, -26, -26, 23, 23, -88, -88, 30, 30, -116, -116, 12, 12, 42, 42, 26, 26, -30, -30, 83, 83, 38, 38, -111, -111, 45, 45, -60, -60, 98, 98, -2, -2, 12, 12, -100, -100, -12, -12, 90, 90, -139, -139, 126, 126, -54, -54, 80, 80, 81, 81, -96, -96, 74, 74, -6, -6, -65, -65, -50, -50, 150, 150, 129, 129, -144, -144, 71, 71, -42, -42, 162, 162, -22, -22, -34, -34, -144, -144, 39, 39, -54, -54, 108, 108, 107, 107, -90, -90, 136, 136, -94, -94, -49, -49, 45, 45, 30, 30, -39, -39, -100, -100, 47, 47, 86, 86, 126, 126, 6, 6, -90, -90, -98, -98, -74, -74, 60, 60, -22, -22, -26, -26, 57, 57, -44, -44, -78, -78, 96, 96, 105, 105, 96, 96, 126, 126, 58, 58, -142, -142, -62, -62, -75, -75, -30, -30, 90, 90, -3, -3, -6, -6, -44, -44, -162, -162, -26, -26, -141, -141, 93, 93, -98, -98, 105, 105, 132, 132, -83, -83, 15, 15, 19, 19, 46, 46, -76, -76, 94, 94, -38, -38, -57, -57, -63, -63, -82, -82, -91, -91, 22, 22, -77, -77, 6, 6, -39, -39, 127, 127, 132, 132, 158, 158, -94, -94, 66, 66, 162, 162, -74, -74, 26, 26, -102, -102, 56, 56, 152, 152, -66, -66, -170, -170, 93, 93, -86, -86, 70, 70, -58, -58, -117, -117, -5, -5, -74, -74, 58, 58, 3, 3, -39, -39, 163, 163, 72, 72, 24, 24, -48, -48, -20, -20, 126, 126, 160, 160, -5, -5, 6, 6, -132, -132, -37, -37, -34, -34, 58, 58, -142, -142, -3, -3, 121, 121, -102, -102, 34, 34, -63, -63, -104, -104, -54, -54, 6, 6, -80, -80, -54, -54, 65, 65, -15, -15, -43, -43, 88, 88, 42, 42, 97, 97, 139, 139, 3, 3, 87, 87, 64, 64, 162, 162, 60, 60, 90, 90, 160, 160, 12, 12, 54, 54, -8, -8, -36, -36, 44, 44, 86, 86, -23, -23, 122, 122, -99, -99, 107, 107, 23, 23, -14, -14, 183, 183, 127, 127, -115, -115, -162, -162, 85, 85, -54, -54, -48, -48, 120, 120, -150, -150, 130, 130, 92, 92, 108, 108, -28, -28, -36, -36, 39, 39, 136, 136], 'hecke_polynomial': 'x', 'label': '2.2.93.1-81.1-m'}
• 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[]
  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': [-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': ['3.2.1.1', '31.2.1.2'], 'monogenic': 1, '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']}