Hilbert modular form data - 2.2.93.1-81.1-i

Formats: - HTML - YAML - JSON - 2026-04-25T11:04:35.135392

• 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': 'yes', 'is_base_change': 'no', 'label': '2.2.93.1-81.1-i', 'label_nsuffix': 8, 'label_suffix': 'i', 'level_bad_primes': [3], 'level_ideal': '[81, 9, 9]', 'level_label': '81.1', 'level_norm': 81, 'parallel_weight': 2, 'short_label': '81.1-i', '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, 2, 5, -4, 0, 0, 0, 0, 8, -1, 0, 0, 5, 0, 0, -4, 0, 0, 5, 5, 0, 0, 0, 0, 5, 14, 20, -7, 17, -19, 0, 0, -25, 11, 17, 8, 0, 0, -1, 0, 0, -25, 2, 0, 0, -16, 29, 0, 0, 0, 0, 0, 0, 0, 0, 32, 32, -19, 35, 0, 0, -37, -37, 0, 0, -25, 38, 29, 29, 0, 0, 0, 0, -1, 35, 0, 0, 41, -22, 41, -13, 0, 0, 0, 0, 0, 0, 0, 0, 17, -46, -40, 41, 0, 0, 0, 0, 11, 11, 0, 0, -49, -49, 0, 0, 0, 0, 38, 11, 0, 0, 41, -49, 0, 0, 5, -49, -7, -43, 0, 0, 11, -52, 0, 0, 47, 2, 0, 0, 0, 0, 0, 0, 56, 56, 0, 0, 0, 0, 35, 35, 0, 0, -25, -34, 0, 0, 59, -40, 0, 0, -52, -52, 0, 0, -61, -61, 0, 0, 0, 0, 0, 0, 0, 0, -49, 59, 0, 0, 0, 0, 5, -58, -52, -7, 0, 0, 23, 41, 65, 65, 59, -4, 0, 0, 65, -43, 0, 0, 0, 0, 65, 65, 32, -67, 0, 0, 0, 0, 17, 17, 41, 41, -67, 14, 0, 0, 71, -28, 0, 0, 11, 56, 0, 0, -55, -55, 0, 0, -49, -22, -4, -4, 0, 0, 47, -7, -61, 53, -73, 0, 0, -73, 17, 29, 47, 0, 0, 0, 0, -43, -34, 0, 0, 0, 0, 0, 0, 0, 0, -79, 29, 0, 0, 77, -58, 26, 53, -1, 71, -73, -73, 0, 0, 41, 35, -82, 0, 0, 77, -13, -40, -40, -49, -49, -79, 65, -28, -55, 0, 0, 11, -79, -22, 86, -49, 29, 56, 0, 0, 0, 0, -73, -73, 0, 0, 0, 0, 0, 0, 0, 0, -13, -13, 0, 0, -34, -34, 0, 0, 2, -79, 0, 0, -73, -10, 0, 0, 0, 0, 0, 0, 0, 0, 5, 77, 0, 0, -37, -55, 17, 71, 77, -85, 0, 0, -94, 0, 0, -94, 41, 23, 68, 0, 0, -73, 89, -7, -79, 0, 0, 0, 0, 74, 74, 0, 0, 38, -97, 0, 0, 0, 0, 0, 0, 0, 0, -85, 86, 0, 0, 0, 0, 80, -91, -97, -97, 83, 83, -52, 101, 0, 0, 98, -73, 0, 0, 0, 0, 0, 0, 59, -103, 0, 0, 0, 0, -55, -55, -103, -103, 0, 0, -76, -76, 0, 0, -91, -1, 89, 89, 0, 0, 0, 0, 0, 0, 65, -106, 0, 0, 95, -4, 0, 0, 0, 0, 107, -37, 0, 0, 0, 0, 0, 0, 29, -106, 0, 0, -79, -79, 23, 23, 0, 0, 65, 47, 98, -1, -94, -94, 29, 29, 0, 0, -67, 113, 0, 0, -19, 107, -97, 101, 0, 0, -76, 113, 0, 0, 0, 0, -91, 107, 0, 0, 0, 0, 0, 0, 98, 98, 0, 0, -19, -91, 0, 0, 101, 2, 59, -37, 116, -109, -109, 0, 0, 0, 0, -58, -58, 0, 0, -52, 119, 107, -100, 0, 0, 0, 0, -76, -76, 26, 89, 17, 17, 0, 0, 101, 101, 50, -121, 0, 0, -37, -82, 0, 0, -121, 116, -91, -16, -97, -49, 122, 0, 0, 0, 0, -100, -100, 98, 17, 86, -121, 0, 0, 107, -109, -64, 125, 0, 0, 0, 0, 0, 0, 32, -121, 0, 0, 5, -112, 11, -115, 0, 0, 0, 0, -127, -127, -61, 128, -109, -109, 0, 0, -127, 44, 41, 86, 0, 0, 0, 0, 0, 0, 0, 0, 119, -106, 0, 0, 0, 0, -70, -61, -55, -55, 0, 0, -133, 74, -115, -115, 0, 0, 0, 0, 0, 0, 53, 80, 0, 0, 50, 50, 0, 0, 0, 0, 131, -94, 119, -115, 0, 0, 134, 134, 131, 131, 92, -133, 0, 0, 0, 0, -136, -136, 101, 29, 0, 0, 0, 0, 0, 0, 0, 0, 131, -103, -52, 137, 0, 0, 23, -130, 0, 0, -46, -91, 0, 0, -73, -73, 0, 0, -118, 125, -139, 50, 26, 107, 0, 0, 17, 17, 47, 92, 0, 0, -19, -19, 0, 0, -100, -37, 0, 0, 71, 0, 0, 0, 0, 0, 0, 143, 143, -121, -121, 0, 0, 11, 119, -13, 131, -139, 104, 0, 0, 95, 95, 0, 0, 0, 0, 0, 0, 0, 0, -97, 0, 0, 0, 0, -115, 137, 0, 0, -1, -127, -103, -40, 0, 0, 0, 0, 0, 0, 65, 83, 44, -145, 0, 0, -70, -79, -133, -133, 149, -67, 0, 0, -109, 143, 0, 0, -139, -139, 0, 0, 0, 0, 128, -133, -7, -7, 77, 77, 0, 0, 65, -151, 0, 0, 143, -28, 17, 17, 0, 0, 92, -151, 0, 0, 0, 0, 53, 98, 0, 0, 152, -55, 0, 0, -130, -130, 0, 0, 0, 0, 23, 122, 0, 0, 0, 0, 101, 101, 0, 0, 77, -157, 0, 0, 0, 0, 131, 116, 35, 0, 0, 149, -121, 0, 0, 146, 146, 0, 0, 0, 0, 23, -148, 0, 0, -10, 143, 0, 0, 29, -151, 89, 71, -82, 161, 0, 0, 0, 0, 146, -133, 0, 0, -130, 149, 0, 0, -61, -61, -151, 128, 158, 158, 92, 92, 0, 0, -163, -163, 0, 0, 0, 0, 47, -160, 0, 0, 122, -157, -121, 158, 0, 0, 0, 0, 0, 0, 164, -61, 32, -157, 0, 0, 119, -160, 0, 0, 0, 0, -118, 161, 0, 0, 0, 0, -91, -91, 0, 0, 0, 0, 47, 47, 0, 0, 146, 146, 149, 149, 0, 0, 0, 0, 0, 0, 74, -169, 0, 0, 0, 0, -91, 170, -112, 167, 0, 0, 0, 0, 0, 0, 0, 0, 119, 47, 0, 0, -1, -1, 113, 113, -109, 170, 0, 0, 0, 0, 0, 0, -163, -163, 173, 173, -136, 161, 0, 0, 0, 0, 0, 0, 119, -169, 14, -157, 0, 0, -163, 134, 173, -70, 0, 0, -127, -127, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 143, 17, 119, 119, -34, -133, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 173, 0, 0, 83, -178, 0, 0, 0, 0, 179, 179, 0, 0, 0, 0, -106, -106, 0, 0, -163, -163, -169, 29, -181, 89, -181, 98, -22, 167, 0, 0, 0, 0, 44, 44, -97, 182, 71, -181, 125, 53, 0, 0, 0, 0, 134, 134, 0, 0, -73, -109, 176, 176, 0, 0, 0, 0, 95, -184, -169, 20, 0, 0, -184, 77, -97, -88, 0, 0, -61, 182, 0, 0, -145, -28, -151, -151, 41, 41, 0, 0, -55, -127, 23, 149, -136, 179, 0, 0, 0, 0, 101, -187, 0, 0, 0, 0, 0, 0, -97, -97, 0, 0, -103, -85, -37, 179, 0, 0, 0, 0, -43, 182, -169, -169, 185, 185, 77, 113, 0, 0, -109, -82, 0, 0, 185, -139, 0, 0, -13, -13, 0, 0, 0, 0, 101, 92, 0, 0, -193, 86, 0, 0, -25, -25, -193, 113, 0, 0, -103, 194, -163, -10, 0, 0, 0, 0, 47, -187, 0, 0, 0, 0, 0, 0, -139, -49, 0, 0, 0, 0, -163, -163, 0, 0, 65, 128, 17, 161, 41, 41, 113, 113, 0, 0, -34, -151, 197, -91, -109, 197, 0, 0, -187, 38, -193, 59, 0, 0, -118, 197, 0, 0, 0, 0, 0, 0, 0, 0, -193, -193, -187, -187, 0, 0, -199, -199, 0, 0, 0, 0, 65, -196], 'hecke_polynomial': 'x', 'label': '2.2.93.1-81.1-i'}
• 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 - 65]', '[509, 509, -5*w - 6]', '[509, 509, 5*w - 11]', '[513, 171, -6*w + 21]', '[513, 171, -6*w - 15]', '[525, 105, -5*w - 5]', '[525, 105, -5*w + 10]', '[527, 527, -8*w - 27]', '[527, 527, -8*w + 35]', '[528, 132, -4*w - 28]', '[528, 132, -4*w + 32]', '[529, 23, 23]', '[529, 529, w + 23]', '[529, 529, -w + 24]', '[532, 266, -2*w - 24]', '[532, 266, -6*w - 34]', '[532, 266, 6*w - 40]', '[532, 266, 2*w - 26]', '[537, 537, -8*w + 49]', '[537, 537, 19*w - 104]', '[539, 77, -7*w - 21]', '[539, 77, 7*w - 28]', '[539, 539, 12*w - 59]', '[539, 539, 5*w - 9]', '[539, 539, -5*w - 4]', '[539, 539, -12*w - 47]', '[541, 541, 5*w - 36]', '[541, 541, -5*w - 31]', '[547, 547, -3*w - 26]', '[547, 547, 3*w - 29]', '[548, 274, -6*w - 14]', '[548, 274, 6*w - 20]', '[551, 551, -21*w + 109]', '[551, 551, 5*w + 3]', '[551, 551, -5*w + 8]', '[551, 551, 21*w + 88]', '[557, 557, 17*w - 87]', '[557, 557, 11*w - 53]', '[561, 561, -10*w - 37]', '[561, 561, 5*w - 7]', '[561, 561, -5*w - 2]', '[561, 561, 10*w - 47]', '[567, 63, 9*w - 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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
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-23, -1, 1], 'conductor': 93, 'degree': 2, 'disc_abs': 93, 'disc_rad': 93, 'disc_sign': 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}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 1, 'used_grh': False}