Hilbert modular form data - 2.2.60.1-81.1-a

Formats: - HTML - YAML - JSON - 2025-12-25T02:06:11.401468

• 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': 60, 'field_bad_primes': [2, 3, 5], 'field_label': '2.2.60.1', 'is_CM': 'yes', 'is_base_change': 'yes', 'label': '2.2.60.1-81.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [3], 'level_ideal': '[81, 9, 9]', 'level_label': '81.1', 'level_norm': 81, 'parallel_weight': 2, 'short_label': '81.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3, 3, w]', -1]], 'hecke_eigenvalues': [0, 0, 0, -1, -1, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, -1, -1, 5, 5, 0, 0, -13, -13, 2, 2, 0, 0, 20, 20, 0, 0, 0, 0, -25, -25, -1, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, -28, -28, -22, -22, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 32, 32, 0, 0, -16, -16, 0, 0, 0, 0, -37, -37, 0, 0, 0, 0, 11, 35, 35, -31, -31, 0, 0, -19, -19, 0, 0, 23, 23, 0, 0, -25, -25, 0, 0, -43, -43, -46, 29, 29, -1, -1, 0, 0, 0, 0, 0, 0, 26, 26, -49, -49, 0, 0, -40, -40, 0, 0, 0, 0, -49, -49, 0, 0, 53, 53, 0, 0, 44, 44, -49, -49, 0, 0, -31, -31, 0, 0, 5, 5, -7, -7, 0, 0, -58, 0, 0, 47, 47, -19, -19, 0, 0, 0, 0, -46, 41, 41, 0, 0, 0, 0, -43, -43, 0, 0, 0, 0, 14, 14, 0, 0, 65, 65, 62, 62, -55, -55, 0, 0, 0, 0, 35, 35, -67, -67, 0, 0, 0, 0, 59, 59, 0, 0, 53, 53, 0, 0, 0, 0, -55, -55, 0, 0, 71, 71, -4, -4, 47, 0, 0, -31, -31, 20, 20, 71, 71, 0, 0, 0, 0, 35, 35, 0, 0, -37, -37, 77, 77, 0, 0, 0, 0, 0, 0, 77, 77, 11, 11, 0, 0, 0, 0, -79, -79, 0, 0, -19, -19, 0, 0, 0, 0, -79, -79, 80, 80, 0, 0, -73, -73, -67, -67, -82, 0, 0, -40, -40, 0, 0, -49, -49, -61, -61, 83, 83, -82, -82, 74, 74, 0, 0, -37, -37, -85, -85, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89, 89, 0, 0, 77, 77, 0, 0, 23, 23, 38, 38, 0, 0, 0, 0, 92, 92, 0, 0, 29, 29, 8, 8, -94, 0, 0, 53, 53, 0, 0, 83, 83, 0, 0, 86, 86, 20, 20, 0, 0, 0, 0, 0, 0, 74, 74, -64, -64, 0, 0, 0, 0, -28, -28, 59, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 47, 47, -97, -97, 0, 0, 0, 0, 0, 0, 0, 0, 29, 29, 0, 0, -97, -97, 62, 62, 0, 0, 0, 0, -55, -55, 0, 0, 14, 14, 0, 0, -76, -76, 0, 0, 95, 95, 0, 0, 0, 0, 0, 0, -91, -91, 0, 0, 0, 0, 0, 0, 0, 0, 77, 77, 0, 0, 17, 17, 38, 38, -19, -19, 23, 23, 0, 0, 89, 89, 0, 0, -112, -112, -97, -97, -94, -94, 29, 29, 0, 0, -46, -46, 0, 0, 0, 0, 0, 0, -109, -109, 59, 59, 68, 68, 0, 0, 113, 113, 0, 0, 0, 0, -28, -28, -103, -103, 0, 0, 47, 47, 0, 0, 0, 0, -58, -58, 119, 119, 0, 0, -7, -7, 0, 0, 116, 116, 0, 0, 17, 17, 0, 0, 0, 0, 0, 0, 119, 119, 0, 0, -25, -25, -73, -73, 0, 0, 0, 0, -100, -100, 0, 0, 59, 59, 0, 0, 2, 2, -61, -61, 0, 0, 0, 0, -52, -52, 125, 125, 107, 107, 0, 0, 0, 0, -91, -91, 104, 104, 0, 0, 0, 0, 0, 0, 98, 98, 0, 0, 0, 0, 0, 0, -127, -127, 0, 0, 0, 0, -85, -85, 0, 0, 0, 0, -13, -13, 0, 0, -55, -55, 0, 0, -127, -127, 0, 0, 0, 0, 0, 0, 68, 68, 59, 59, -115, -115, 0, 0, 0, 0, -133, -133, 0, 0, -91, -91, 0, 0, 86, 86, -37, -37, -4, -4, -103, -103, 131, 131, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 125, 125, -58, -58, 0, 0, 0, 0, -85, -85, -97, -97, 0, 0, 0, 0, -121, -121, 0, 0, 137, 137, 0, 0, 0, 0, -73, -73, -94, -94, 0, 0, 0, 0, 0, 0, -133, -133, 0, 0, 101, 101, 137, 137, 0, 0, 0, 0, 0, 0, 98, 98, 131, 131, 0, 0, -124, -124, 0, 0, -118, -118, 35, 35, 0, 0, 0, 0, 0, 0, 0, 0, 143, 143, 0, 0, -112, -112, -97, 0, 0, 56, 56, 0, 0, 0, 0, 0, 0, -109, -109, 0, 0, 143, 143, 122, 122, 0, 0, 0, 0, -148, -148, 0, 0, -49, -49, 101, 101, 0, 0, -133, -133, -82, -82, 0, 0, -34, -34, 0, 0, 53, 53, 0, 0, -91, -91, -139, -139, 0, 0, 0, 0, 5, 5, -7, -7, 0, 0, 77, 77, 0, 0, 0, 0, -115, -115, 17, 17, 0, 0, -46, -46, 95, 95, -151, -151, 0, 0, 149, 149, 0, 0, -97, -97, 0, 0, -76, -76, 0, 0, -67, -67, 0, 0, 155, 155, 0, 0, 101, 101, 0, 0, 80, 80, 0, 0, 0, 0, 47, 47, 131, -151, -151, 0, 0, 0, 0, 146, 146, 0, 0, 0, 0, 125, 125, 0, 0, 0, 0, -154, -154, 149, 149, 122, 122, -160, -160, -127, -127, 0, 0, -79, -79, 0, 0, -13, -13, 59, 59, 0, 0, 0, 0, -61, -61, 0, 0, 0, 0, 74, 74, -163, -163, -157, -157, 0, 0, 0, 0, 113, 113, 0, 0, -139, -139, 0, 0, 155, 155, -37, -37, 0, 0, -151, -151, 0, 0, 125, 125, -166, 0, 0, 41, 41, 0, 0, 0, 0, -43, -43, 0, 0, 14, 14, 164, 164, 0, 0, 0, 0, 0, 0, 0, 0, 161, 161, 149, 149, 0, 0, 137, 137, 0, 0, 0, 0, -145, -145, 0, 0, -55, -55, 0, 0, -169, -169, -166, -166, 0, 0, -118, -118, 0, 0, 0, 0, 0, 0, 173, 173, 0, 0, -25, -25, 0, 0, 143, 143, 0, 0, 29, 29, 0, 0, -127, -127, 161, 161, 137, 137, 0, 0, -157, -157, -169, -169, 0, 0, -160, -160, -142, -142, 0, 0, 167, 167, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, -178, 116, 116, 0, 0, 152, 152, 0, 0, 143, 143, 0, 0, -106, -106, 0, 0, 0, 0, -163, -163, 140, 140, 0, 0, 83, 83, 0, 0, 59, 59, 0, 0, 0, 0, 137, 137, -1, -1, 0, 0, 44, 44, 0, 0, 0, 0, -103, -103, 182, 182, 155, 155, 119, 119, 89, 89, 0, 0, -181, -181, 149, 149, 0, 0, 185, 185, 0, 0, -121, -121, 0, 0, 173, 173, -154, -154, -133, -133, -109, -109, 41, 41, 0, 0, 0, 0, -184, -184, 0, 0, 86, 86, -187, -187, 0, 0, 47, 47, 0, 0, 0, 0, 188, 188, 185, 185, 167, 167, -142, -142, 0, 0, 158, 158, 0, 0, 0, 0, 173, 173, -181, -181, 0, 0, 152, 152, -139, -139, 0, 0, 176, 176, 185, 185, 38, 38, 191, 191, 0, 0, 0, 0, 191, 191, -136, -136, 0, 0, -1, -1, 0, 0, -13, -13, 0, 0, 0, 0, -133, -133, 107, 107, 0, 0, 0, 0, 80, 80, 167, 0, 0, 0, 0, -91, -91, 0, 0, 0, 0, 140, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 35, 0, 0, -73, -73, -193, -193, -178, -178, 41, 41, 0, 0, 0, 0, -106, -106, 149, 149, 134, 134, -184, -184, 0, 0, -79, -79, 0, 0, 0, 0, 0, 0, 0, 0, -187, -187, 101, 101, -199, -199, 167, 167, 131, 131], 'hecke_polynomial': 'x', 'label': '2.2.60.1-81.1-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 60, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[3, 3, w]', '[4, 2, 2]', '[5, 5, w]', '[6, 6, -w + 3]', '[7, 7, w + 1]', '[7, 7, w + 6]', '[8, 4, 2*w + 2]', '[9, 3, 3]', '[10, 10, w - 5]', '[11, 11, -w - 2]', '[11, 11, w - 2]', '[12, 6, 2*w]', '[14, 14, w + 1]', '[14, 14, w - 1]', '[15, 15, w]', '[16, 4, 4]', '[17, 17, w + 7]', '[17, 17, w + 10]', '[18, 6, 3*w + 3]', '[20, 10, 2*w]', '[21, 21, -w - 6]', '[21, 21, w - 6]', '[22, 22, w + 9]', '[22, 22, w + 13]', '[24, 12, -2*w + 6]', '[25, 5, 5]', '[27, 9, 3*w]', '[28, 14, 2*w + 2]', '[28, 14, 2*w + 12]', '[30, 30, w + 15]', '[32, 8, 4*w + 4]', '[33, 33, w + 9]', '[33, 33, w + 24]', '[34, 34, w + 7]', '[34, 34, w - 7]', '[35, 35, -2*w + 5]', '[35, 35, -2*w - 5]', '[36, 6, 6]', '[40, 20, 2*w - 10]', '[42, 42, w + 15]', '[42, 42, w + 27]', '[43, 43, w + 12]', '[43, 43, w + 31]', '[44, 22, -2*w - 4]', '[44, 22, 2*w - 4]', '[45, 15, 3*w]', '[48, 12, 4*w]', '[49, 7, 7]', '[49, 49, w + 8]', '[49, 49, -w + 8]', '[50, 10, 5*w + 5]', '[51, 51, -2*w + 3]', '[51, 51, 2*w + 3]', '[53, 53, w + 11]', '[53, 53, w + 42]', '[54, 18, -3*w + 9]', '[55, 55, w + 20]', '[55, 55, w + 35]', '[56, 28, 2*w + 2]', '[56, 28, 2*w - 2]', '[59, 59, 2*w - 1]', '[59, 59, -2*w - 1]', '[60, 30, 2*w]', '[61, 61, 2*w - 11]', '[61, 61, -2*w - 11]', '[63, 21, 3*w + 3]', '[63, 21, 3*w + 18]', '[64, 8, 8]', '[66, 66, -w - 9]', '[66, 66, -w + 9]', '[67, 67, w + 22]', '[67, 67, w + 45]', '[68, 34, 2*w + 14]', '[68, 34, 2*w + 20]', '[70, 70, w + 15]', '[70, 70, w + 55]', '[71, 71, 3*w - 8]', '[71, 71, -3*w - 8]', '[72, 12, 6*w + 6]', '[75, 15, 5*w]', '[77, 77, w + 13]', '[77, 77, w + 20]', '[77, 77, w + 57]', '[77, 77, w + 64]', '[80, 20, 4*w]', '[81, 9, 9]', '[84, 42, -2*w - 12]', '[84, 42, 2*w - 12]', '[85, 85, w + 10]', '[85, 85, w - 10]', '[86, 86, -5*w + 17]', '[86, 86, 3*w - 7]', '[88, 44, 2*w + 18]', '[88, 44, 2*w + 26]', '[90, 30, 3*w - 15]', '[96, 24, -4*w + 12]', '[98, 14, 7*w + 7]', '[98, 98, w + 41]', '[98, 98, w + 57]', '[99, 33, -3*w - 6]', '[99, 33, 3*w - 6]', '[100, 10, 10]', '[102, 102, w + 27]', '[102, 102, w + 75]', '[103, 103, w + 18]', '[103, 103, w + 85]', '[105, 105, w + 15]', '[105, 105, w + 90]', '[106, 106, -w - 11]', '[106, 106, w - 11]', '[108, 18, 6*w]', '[109, 109, 2*w - 13]', '[109, 109, -2*w - 13]', '[110, 110, 3*w - 5]', '[110, 110, -3*w - 5]', '[112, 28, 4*w + 4]', '[112, 28, 4*w + 24]', '[113, 113, w + 44]', '[113, 113, w + 69]', '[118, 118, w + 29]', '[118, 118, w + 89]', '[119, 119, -4*w + 11]', '[119, 119, 3*w + 4]', '[119, 119, -3*w + 4]', '[119, 119, 4*w + 11]', '[120, 60, 2*w + 30]', '[121, 11, 11]', '[121, 121, -3*w + 16]', '[121, 121, 3*w + 16]', '[122, 122, w + 25]', '[122, 122, w + 97]', '[125, 25, 5*w]', '[126, 42, 3*w + 3]', '[126, 42, 3*w - 3]', '[127, 127, w + 53]', '[127, 127, w + 74]', '[128, 16, 8*w + 8]', '[129, 129, -w - 12]', '[129, 129, -w + 12]', '[131, 131, 3*w - 2]', '[131, 131, -3*w - 2]', '[132, 66, 2*w + 18]', '[132, 66, 2*w + 48]', '[134, 134, -3*w - 1]', '[134, 134, 3*w - 1]', '[135, 45, 3*w]', '[136, 68, 2*w + 14]', '[136, 68, 2*w - 14]', '[137, 137, w + 17]', '[137, 137, w + 120]', '[140, 70, -4*w + 10]', '[140, 70, -4*w - 10]', '[142, 142, w + 21]', '[142, 142, w + 121]', '[144, 12, 12]', '[147, 21, 7*w]', '[147, 147, w + 57]', '[147, 147, w + 90]', '[150, 30, -5*w + 15]', '[153, 51, 3*w + 21]', '[153, 51, 3*w + 30]', '[154, 154, -w - 13]', '[154, 154, -3*w - 17]', '[154, 154, -3*w + 17]', '[154, 154, -w + 13]', '[159, 159, 7*w - 24]', '[159, 159, 4*w - 9]', '[160, 40, 4*w - 20]', '[162, 18, 9*w + 9]', '[163, 163, w + 34]', '[163, 163, w + 129]', '[165, 165, -2*w + 15]', '[165, 165, -2*w - 15]', '[168, 84, 2*w + 30]', '[168, 84, 2*w + 54]', '[169, 13, -13]', '[170, 170, w + 75]', '[170, 170, w + 95]', '[172, 86, 2*w + 24]', '[172, 86, 2*w + 62]', '[173, 173, w + 19]', '[173, 173, w + 154]', '[175, 35, 5*w + 5]', '[175, 35, 5*w + 30]', '[176, 44, -4*w - 8]', '[176, 44, 4*w - 8]', '[177, 177, w + 30]', '[177, 177, w + 147]', '[179, 179, 5*w - 14]', '[179, 179, -5*w - 14]', '[180, 30, 6*w]', '[181, 181, -w - 14]', '[181, 181, w - 14]', '[183, 183, w + 36]', '[183, 183, w + 147]', '[187, 187, w + 24]', '[187, 187, w + 75]', '[187, 187, w + 112]', '[187, 187, w + 163]', '[189, 63, -3*w - 18]', '[189, 63, 3*w - 18]', '[191, 191, 4*w - 7]', '[191, 191, -4*w - 7]', '[192, 24, 8*w]', '[196, 14, 14]', '[196, 98, 2*w + 16]', '[196, 98, -2*w + 16]', '[197, 197, w + 58]', '[197, 197, w + 139]', '[198, 66, 3*w + 27]', '[198, 66, 3*w + 39]', '[200, 20, 10*w + 10]', '[201, 201, -4*w + 21]', '[201, 201, 5*w - 24]', '[204, 102, -4*w + 6]', '[204, 102, 4*w + 6]', '[206, 206, 7*w - 23]', '[206, 206, 5*w - 13]', '[210, 210, w + 15]', '[210, 210, -w + 15]', '[212, 106, 2*w + 22]', '[212, 106, 2*w + 84]', '[213, 213, w + 21]', '[213, 213, w + 192]', '[215, 215, -4*w - 5]', '[215, 215, 4*w - 5]', '[216, 36, -6*w + 18]', '[218, 218, w + 61]', '[218, 218, w + 157]', '[220, 110, 2*w + 40]', '[220, 110, 2*w + 70]', '[223, 223, w + 98]', '[223, 223, w + 125]', '[224, 56, 4*w + 4]', '[224, 56, 4*w - 4]', '[225, 15, 15]', '[226, 226, -3*w + 19]', '[226, 226, -7*w + 31]', '[229, 229, 2*w - 17]', '[229, 229, -2*w - 17]', '[231, 231, 4*w - 3]', '[231, 231, 5*w - 12]', '[231, 231, -5*w - 12]', '[231, 231, -4*w - 3]', '[233, 233, w + 99]', '[233, 233, w + 134]', '[236, 118, 4*w - 2]', '[236, 118, -4*w - 2]', '[238, 238, w + 27]', '[238, 238, w + 41]', '[238, 238, w + 197]', '[238, 238, w + 211]', '[239, 239, -4*w - 1]', '[239, 239, 4*w - 1]', '[240, 60, 4*w]', '[241, 241, -w - 16]', '[241, 241, w - 16]', '[242, 22, 11*w + 11]', '[242, 242, w + 35]', '[242, 242, w + 207]', '[243, 27, 9*w]', '[244, 122, 4*w - 22]', '[244, 122, -4*w - 22]', '[245, 35, 7*w]', '[245, 245, w + 90]', '[245, 245, w + 155]', '[250, 50, 5*w - 25]', '[251, 251, 6*w - 17]', '[251, 251, -6*w - 17]', '[252, 42, 6*w + 6]', '[252, 42, 6*w + 36]', '[254, 254, 9*w - 31]', '[254, 254, -5*w + 11]', '[255, 255, w + 75]', '[255, 255, w + 180]', '[256, 16, 16]', '[257, 257, w + 23]', '[257, 257, w + 234]', '[258, 258, w + 117]', '[258, 258, w + 141]', '[262, 262, w + 43]', '[262, 262, w + 219]', '[264, 132, -2*w - 18]', '[264, 132, -2*w + 18]', '[265, 265, -8*w + 35]', '[265, 265, -3*w + 20]', '[268, 134, 2*w + 44]', '[268, 134, 2*w + 90]', '[270, 90, 3*w + 45]', '[272, 68, 4*w + 28]', '[272, 68, 4*w + 40]', '[274, 274, -w - 17]', '[274, 274, w - 17]', '[275, 55, -5*w - 10]', '[275, 55, 5*w - 10]', '[280, 140, 2*w + 30]', '[280, 140, 2*w + 110]', '[283, 283, w + 79]', '[283, 283, w + 204]', '[284, 142, 6*w - 16]', '[284, 142, -6*w - 16]', '[288, 24, 12*w + 12]', '[289, 17, 17]', '[289, 289, 4*w + 23]', '[289, 289, -4*w + 23]', '[293, 293, w + 111]', '[293, 293, w + 182]', '[294, 42, -7*w + 21]', '[294, 294, -5*w + 9]', '[294, 294, -5*w - 9]', '[295, 295, w + 30]', '[295, 295, w + 265]', '[297, 99, 3*w + 27]', '[297, 99, 3*w + 72]', '[300, 30, 10*w]', '[301, 301, 6*w + 29]', '[301, 301, -2*w + 19]', '[301, 301, -2*w - 19]', '[301, 301, 6*w - 29]', '[305, 305, w + 25]', '[305, 305, w + 280]', '[306, 102, 3*w + 21]', '[306, 102, 3*w - 21]', '[307, 307, w + 130]', '[307, 307, w + 177]', '[308, 154, 2*w + 26]', '[308, 154, 2*w + 40]', '[308, 154, 2*w + 114]', '[308, 154, 2*w + 128]', '[309, 309, -w - 18]', '[309, 309, w - 18]', '[311, 311, -5*w - 8]', '[311, 311, 5*w - 8]', '[315, 105, -6*w + 15]', '[315, 105, -6*w - 15]', '[317, 317, w + 40]', '[317, 317, w + 277]', '[318, 318, w + 117]', '[318, 318, w + 201]', '[320, 40, 8*w]', '[324, 18, 18]', '[326, 326, 5*w - 7]', '[326, 326, -5*w - 7]', '[327, 327, w + 48]', '[327, 327, w + 279]', '[330, 330, w + 75]', '[330, 330, w + 255]', '[335, 335, 7*w - 20]', '[335, 335, -8*w + 25]', '[336, 84, -4*w - 24]', '[336, 84, 4*w - 24]', '[338, 26, 13*w + 13]', '[339, 339, -5*w - 6]', '[339, 339, -5*w + 6]', '[340, 170, 2*w + 20]', '[340, 170, 2*w - 20]', '[343, 49, 7*w + 7]', '[343, 49, 7*w + 42]', '[343, 343, w + 155]', '[343, 343, w + 188]', '[344, 172, -10*w + 34]', '[344, 172, 6*w - 14]', '[346, 346, -w - 19]', '[346, 346, w - 19]', '[349, 349, 3*w - 22]', '[349, 349, -3*w - 22]', '[350, 70, 5*w + 5]', '[350, 70, 5*w - 5]', '[352, 88, 4*w + 36]', '[352, 88, 4*w + 52]', '[353, 353, w + 108]', '[353, 353, w + 245]', '[354, 354, 7*w - 33]', '[354, 354, -5*w + 27]', '[355, 355, w + 50]', '[355, 355, w + 305]', '[357, 357, w + 27]', '[357, 357, w + 78]', '[357, 357, w + 279]', '[357, 357, w + 330]', '[358, 358, w + 33]', '[358, 358, w + 325]', '[359, 359, 5*w - 4]', '[359, 359, -5*w - 4]', '[360, 60, 6*w - 30]', '[361, 19, -19]', '[362, 362, w + 167]', '[362, 362, w + 195]', '[363, 33, 11*w]', '[363, 363, w + 156]', '[363, 363, w + 207]', '[366, 366, 17*w - 63]', '[366, 366, 5*w - 3]', '[367, 367, w + 105]', '[367, 367, w + 262]', '[371, 371, -6*w - 13]', '[371, 371, -5*w + 2]', '[371, 371, -5*w - 2]', '[371, 371, -6*w + 13]', '[374, 374, 5*w + 1]', '[374, 374, -7*w - 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134]', '[8581, 8581, 25*w - 134]', '[8597, 8597, w + 1369]', '[8597, 8597, w + 7228]', '[8623, 8623, w + 1757]', '[8623, 8623, w + 6866]', '[8629, 8629, -26*w - 137]', '[8629, 8629, 26*w - 137]', '[8641, 8641, 20*w - 121]', '[8641, 8641, -20*w - 121]', '[8647, 8647, w + 2533]', '[8647, 8647, w + 6114]', '[8689, 8689, -28*w - 143]', '[8689, 8689, 28*w - 143]', '[8693, 8693, w + 923]', '[8693, 8693, w + 7770]', '[8699, 8699, -25*w - 26]', '[8699, 8699, 25*w - 26]', '[8707, 8707, w + 4230]', '[8707, 8707, w + 4477]', '[8753, 8753, w + 3966]', '[8753, 8753, w + 4787]', '[8761, 8761, 21*w - 124]', '[8761, 8761, -21*w - 124]', '[8803, 8803, w + 785]', '[8803, 8803, w + 8018]', '[8819, 8819, -27*w - 46]', '[8819, 8819, 27*w - 46]', '[8821, 8821, -w - 94]', '[8821, 8821, w - 94]', '[8831, 8831, -36*w - 103]', '[8831, 8831, 36*w - 103]', '[8837, 8837, w + 133]', '[8837, 8837, w + 8704]', '[8863, 8863, w + 3355]', '[8863, 8863, w + 5508]', '[8887, 8887, w + 3872]', '[8887, 8887, w + 5015]', '[8923, 8923, w + 1529]', '[8923, 8923, w + 7394]', '[8929, 8929, 16*w - 113]', '[8929, 8929, -16*w - 113]', '[8933, 8933, w + 4195]', '[8933, 8933, w + 4738]', '[8941, 8941, -14*w - 109]', '[8941, 8941, 14*w - 109]', '[8951, 8951, -28*w - 53]', '[8951, 8951, 28*w - 53]', '[8999, 8999, -27*w - 44]', '[8999, 8999, 27*w - 44]', '[9001, 9001, -11*w - 104]', '[9001, 9001, 11*w - 104]', '[9007, 9007, w + 3346]', '[9007, 9007, w + 5661]', '[9011, 9011, -30*w - 67]', '[9011, 9011, 30*w - 67]', '[9043, 9043, w + 1033]', '[9043, 9043, w + 8010]', '[9049, 9049, -24*w - 133]', '[9049, 9049, 24*w - 133]', '[9059, 9059, -34*w - 91]', '[9059, 9059, 34*w - 91]', '[9067, 9067, w + 1469]', '[9067, 9067, w + 7598]', '[9103, 9103, w + 4161]', '[9103, 9103, w + 4942]', '[9109, 9109, -10*w - 103]', '[9109, 9109, 10*w - 103]', '[9127, 9127, w + 782]', '[9127, 9127, w + 8345]', '[9137, 9137, w + 1487]', '[9137, 9137, w + 7650]', '[9173, 9173, w + 3545]', '[9173, 9173, w + 5628]', '[9181, 9181, 26*w - 139]', '[9181, 9181, -26*w - 139]', '[9187, 9187, w + 525]', '[9187, 9187, w + 8662]', '[9239, 9239, -36*w - 101]', '[9239, 9239, 36*w - 101]', '[9241, 9241, -8*w - 101]', '[9241, 9241, 8*w - 101]', '[9257, 9257, w + 2215]', '[9257, 9257, w + 7042]', '[9283, 9283, w + 1823]', '[9283, 9283, w + 7460]', '[9293, 9293, w + 2675]', '[9293, 9293, w + 6618]', '[9311, 9311, 25*w - 8]', '[9311, 9311, -25*w - 8]', '[9343, 9343, w + 3029]', '[9343, 9343, w + 6314]', '[9349, 9349, 2*w - 97]', '[9349, 9349, -2*w - 97]', '[9371, 9371, 25*w - 2]', '[9371, 9371, -25*w - 2]', '[9377, 9377, w + 137]', '[9377, 9377, w + 9240]', '[9403, 9403, w + 168]', '[9403, 9403, w + 9235]', '[9409, 97, -97]', '[9413, 9413, w + 1265]', '[9413, 9413, w + 8148]', '[9419, 9419, -34*w - 89]', '[9419, 9419, 34*w - 89]', '[9421, 9421, -11*w - 106]', '[9421, 9421, 11*w - 106]', '[9431, 9431, -32*w - 77]', '[9431, 9431, 32*w - 77]', '[9437, 9437, w + 1073]', '[9437, 9437, w + 8364]', '[9463, 9463, w + 3367]', '[9463, 9463, w + 6096]', '[9473, 9473, w + 3817]', '[9473, 9473, w + 5656]', '[9479, 9479, -29*w - 56]', '[9479, 9479, 29*w - 56]', '[9491, 9491, -27*w - 38]', '[9491, 9491, 27*w - 38]', '[9497, 9497, w + 3511]', '[9497, 9497, w + 5986]', '[9533, 9533, w + 4117]', '[9533, 9533, w + 5416]', '[9539, 9539, 35*w - 94]', '[9539, 9539, -35*w - 94]', '[9547, 9547, w + 1712]', '[9547, 9547, w + 7835]', '[9551, 9551, -28*w - 47]', '[9551, 9551, 28*w - 47]', '[9601, 9601, 9*w - 104]', '[9601, 9601, -9*w - 104]', '[9643, 9643, w + 3765]', '[9643, 9643, w + 5878]', '[9649, 9649, -8*w - 103]', '[9649, 9649, 8*w - 103]', '[9661, 9661, -6*w - 101]', '[9661, 9661, 6*w - 101]', '[9677, 9677, w + 220]', '[9677, 9677, w + 9457]', '[9719, 9719, 37*w - 104]', '[9719, 9719, -37*w - 104]', '[9721, 9721, 12*w - 109]', '[9721, 9721, -12*w - 109]', '[9769, 9769, -21*w - 128]', '[9769, 9769, 21*w - 128]', '[9781, 9781, 18*w - 121]', '[9781, 9781, -18*w - 121]', '[9787, 9787, w + 3175]', '[9787, 9787, w + 6612]', '[9791, 9791, 31*w - 68]', '[9791, 9791, -31*w - 68]', '[9829, 9829, 14*w - 113]', '[9829, 9829, -14*w - 113]', '[9833, 9833, w + 3037]', '[9833, 9833, w + 6796]', '[9839, 9839, 40*w - 119]', '[9839, 9839, -40*w - 119]', '[9851, 9851, 26*w - 17]', '[9851, 9851, -26*w - 17]', '[9857, 9857, w + 4204]', '[9857, 9857, w + 5653]', '[9883, 9883, w + 3077]', '[9883, 9883, w + 6806]', '[9901, 9901, -22*w - 131]', '[9901, 9901, 22*w - 131]', '[9907, 9907, w + 3458]', '[9907, 9907, w + 6449]', '[9949, 9949, 10*w - 107]', '[9949, 9949, -10*w - 107]', '[9967, 9967, w + 3952]', '[9967, 9967, w + 6015]']}
• 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': [-15, 0, 1], 'conductor': 60, 'degree': 2, 'dirichlet_group': [1, 59], 'disc_abs': 60, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 7.745966692414834, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.60.1', 'local_algs': ['2.1.2.2a1.1', '3.1.2.1a1.1', '5.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 5], 'rd': 7.74596669241, 'regulator': {'__RealLiteral__': 0, 'data': '2.0634370689', 'prec': 40}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 4 \\)'], 'used_grh': False, 'zk': ['1', 'a']}