Hilbert modular form data - 2.2.13.1-81.5-d

Formats: - HTML - YAML - JSON - 2026-05-12T12:54:49.668665

• 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': 13, 'field_bad_primes': [13], 'field_label': '2.2.13.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.13.1-81.5-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [3], 'level_ideal': '[81,81,5*w - 3]', 'level_label': '81.5', 'level_norm': 81, 'parallel_weight': 2, 'short_label': '81.5-d', '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, -2, -1, 5, 3, 3, 6, -6, -1, 9, 6, -4, 2, -13, -3, 9, 14, 5, -10, -10, -3, -3, 2, 2, 6, 0, 6, -9, -13, -22, 8, 0, -12, 14, -10, 2, 5, 18, -3, 18, -6, 5, -19, -6, -12, 2, 8, -10, -16, -18, 3, 6, 30, -21, -18, -6, 24, 21, -3, -7, 17, 14, 2, 0, -18, -10, -13, -10, 14, -12, 30, 11, 26, -28, 29, -31, -18, 30, 18, 12, 11, 2, 8, -10, 24, -18, 36, 6, -42, -36, -6, 12, 3, 3, -4, -22, 8, -28, -30, -12, -45, -33, 14, 8, -24, -6, 26, 11, -4, -40, 27, -18, 42, -12, 6, 30, -24, 18, -46, -13, -15, -39, -30, -15, 6, 18, -28, 44, -22, 14, 29, -7, -39, 6, 3, 30, 26, 14, -7, -31, -45, 30, -40, 32, 30, -18, -16, 2, -18, -42, -34, 26, -48, -6, 26, 44, 23, -25, 15, -21, -10, -24, -36, 8, -28, -22, 5, 30, -42, 48, 0, 26, 2, -21, 15, -34, 26, 17, 17, -18, -36, 29, -34, 9, 33, -43, -43, -13, 47, 56, -4, -48, 6, -21, 3, 41, 29, 12, 42, 8, 68, -25, 11, 45, -39, -6, -54, 20, -64, -61, -25, 21, 42, -52, 56, -22, -40, 54, -45, -25, 5, 29, -36, -54, -55, -10, 54, 6, 36, 18, -52, 14, 41, 41, 38, 32, 30, -69, -16, -22, -24, 48, 0, 48, -34, 20, -4, -4, 36, 72, 42, 30, -10, -37, 30, -39, 29, 65, -66, 57, -4, -34, -66, -12, -10, -7, 65, -4, 8, 21, -15, 77, 14, 50, -40, 23, -34, 42, 24, 84, 36, 18, 12, -6, -60, 23, 38, -69, 66, 21, 33, -30, 18, -55, -19, 66, 33, -28, 62, 78, 21, 36, -60, -25, -10, -58, 56, 48, 30, -22, 20, 6, -24, 86, 14, -34, 29, 18, 0, 15, 78, -64, 14, -1, 23, -45, -45, 20, -88, 57, -75, -37, -58, 48, 42, 2, -15, -27, -15, 9, -28, 8, -52, -16, -42, 78, -70, 80, -36, 24, 14, -67, -75, -54, -34, 38, 41, 14, 51, -42, -57, 27, 75, -45, -18, 12, -52, 20, 71, -22, 62, -34, 60, -12, -16, 98, 81, 9, -16, -10, 17, 14, 18, -48, 3, -57, -37, 62, 26, -7, -30, -60, 56, -22, -22, 23, 78, -81, -40, 80, -69, 51, 20, 74, -82, 23, 93, -3, 66, 54, 62, -10, -73, -13, 102, -63, 74, 98, -6, -66, -66, 6, 66, 66, 90, 24, -78, 60, -58, 50, -21, 15, -58, 50, 54, -12, 38, 23, 27, 39, 14, -58, -61, 11, -91, -55, 54, 93, -18, 78, -58, -31, 56, -70, 42, 42, -55, 62, -82, 26, -81, 39, -94, 38, 78, -78, 81, 69, -48, 102, -73, -61, 51, 6, -97, 62, 105, 45, -90, 72, 35, -58, -100, -108, 72, -42, 102, -36, -66, 104, -40, -100, 62, -58, 77, -30, 3, 60, -84, -76, 50, -19, -22, -82, -10, 92, 44, 105, -87, 113, -82, 102, -24, -52, -58, -78, -90, -54, -6, -34, -85, 72, -6, 71, -58, 6, 57, 33, -30, -16, -4, 8, -46, -48, -36, 89, -7, 9, -87, 24, -42, 30, -9, 56, 38, -30, 6, -46, -118, -78, -42, -39, -27, -7, -67, 2, -58, 11, 83, 39, -81, -96, -18, 12, 30, 104, -22, -40, 8, -18, -6, 117, 117, 92, -94, -58, 86, -96, -60, -39, -27, -81, 30, 77, 53, -73, 62, 87, 15, -28, -46, 48, -90, 129, 18, 21, -87, 26, -130, 20, -124, 18, -102, 39, -129, 62, -64, -94, -18, 96, -72, -132, 101, 89, 32, 14, 86, 104, -87, -66, -28, 116, -58, -109, 56, 44, 60, -84, 24, 66, 74, -82, 59, 23, 30, 21, -64, -118, 80, 116, -60, 48, -21, -9, -85, 131, 17, -115, -19, -34, 108, 30, 51, -66, -96, 12, -45, 51, 120, -6, 62, 53, 78, 30, -121, -22, -25, -97, -93, 63, 30, 54, -13, -48, -108, 18, 108, -37, 35, 74, 26, 0, 42, 108, -66, 53, -19, 11, 71, 26, 98, -15, 105, -48, -66, -25, 71, 90, -48, 47, -66, 21, 80, 2, 69, 117, 24, 66, 116, 32, -69, 42, -76, 20, -67, -91, -82, -10, 90, -87, -120, 66, 110, -58, 83, -133, -118, -34, 93, 33, -91, 29, -30, 24, -114, -138, 35, 26, -90, 126, 44, -100, 9, -3, -30, -15, -36, 60, -63, 57, -22, 23, -22, 116, -130, -79, -81, 123, 114, -18, 41, -19, -94, 50, 99, -129, -58, -76, -126, -60, 126, -60, 0, 0, -90, -90, -145, 119, 6, -90, 92, 50, 78, -63, 80, -64, -3, 9, -81, 39, -7, -154, 56, -46, 57, -15, 20, -70, -58, -25, -81, -18, -30, 144, 114, -87, -94, -67, 105, -3, 110, 44, 3, 54, -130, -145, 158, 110, 53, 77, -76, -34, -151, -91, 77, -31, 18, 39, 8, 86, 102, 75, 108, -18, 35, -49, -126, 120, 71, 35, 39, -66, -73, 71, 57, 57, -112, 110, -78, 102, -6, -42, -34, 62, 110, 8, 62, 110, 137, -70, 29, -34, -21, -21, -45, 63, 122, 26, -54, -36, 65, 89, -106, 47, -96, 18, 119, 66, 126, 104, -76, 30, 153, -90, 42, -16, -142, 30, 36, 162, -126, -88, -16, -34, 5, 54, -30, 120, 30, 158, -67, 63, 147, -78, -120, -84, 96, -16, 44, -121, 122, -66, 51, 60, 18, 20, 74, 66, -111, -70, -106, 69, 150, -114, -36, -73, -73, -18, 90, 29, 110, 30, 90, -163, -127, -3, 9, 86, -130, 128, -130, -153, -66, 38, -22, 24, -102, -61, -34, 93, -123, 36, -66, -109, 59, 117, -99, -91, -91, -12, 132, 33, -39, -136, 8, 14, -115, 156, 42, -91, -82, 54, -129, -34, 20, 110, 134, -16, 26, 9, 153, -153, 123, 12, 66, 21, 9, -3, -39, 57, 57, -40, 164, -15, 54, 42, 108, -37, -112, 2, 65, -19, 63, -102, 56, -52, -46, 107, 32, -112, -6, 165, -6, -66, -10, 179, -66, -84, -6, -108, -37, 143, 44, -22, 152, 152, 114, 120, 26, -1, -36, 66, -55, 77, -78, 48, -139, -130, 87, 78, -4, 38, -7, -139, 47, 86, -114, 120, 51, -117, 53, -151, 12, 66, -48, -162, 62, -118, 45, 126, 68, 104, -153, -66, 128, -40, -58, 149, -66, -42, -69, 135, 110, 164, 17, -55, 146, 47, 15, -69, 57, -18, 104, -58, 26, -157, -46, -112, 143, -109, -78, 111, -22, -13, -94, 86, 144, 30, 21, -75, 20, -16, 75, -126, -124, -154, 6, -126, -31, 158, 158, -82, 39, -141, -46, 152, -36, -30, 125, 182, -49, 86, -106, 122, 86, -22, 29, 65, 14, -16, 164, -4, 27, 78, 29, 110, 62, 44, 48, 186, 165, -135, 18, 78, -108, 174, -114, -18, 30, -153, 80, -178, 186, 42, -58, 23, 74, -142, 27, 99, -64, -100, 14, 102, 6, -10, -46, 102, -99, 38, 56, -114, -135, 104, -76, -162, 126, -81, 39, 24, 48, 117, 93, -12, -168, 168, -18, 50, -22, 174, 42, -159, 189, -10, 68, 155, 86, -165, -153, -157, -133, -82, 83, -166, -10, 81, 21, 18, -60, -168, 78, 68, -16, 134, -7, 144, -108, 135, -105, -22, -136, -16, 146, 122, 170, -102, -6, -141, -21, 104, -76, -18, 81, -55, -55, 62, 38], 'hecke_polynomial': 'x', 'label': '2.2.13.1-81.5-d'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 13, 'ideals': ['[1, 1, 1]', '[3, 3, -w]', '[3, 3, -w + 1]', '[4, 2, 2]', '[9, 3, 3]', '[9, 9, w + 3]', '[9, 9, -w + 4]', '[12, 6, -2*w]', '[12, 6, -2*w + 2]', '[13, 13, -2*w + 1]', '[16, 4, 4]', '[17, 17, w + 4]', '[17, 17, -w + 5]', '[23, 23, 3*w + 1]', '[23, 23, -3*w + 4]', '[25, 5, 5]', '[27, 9, -3*w]', '[27, 9, -3*w + 3]', '[27, 27, w + 5]', '[27, 27, -w + 6]', '[29, 29, 3*w - 2]', '[29, 29, -3*w + 1]', '[36, 6, 6]', '[36, 18, 2*w + 6]', '[36, 18, -2*w + 8]', '[39, 39, w + 6]', '[39, 39, -w + 7]', '[43, 43, -4*w - 1]', '[43, 43, 4*w - 5]', '[48, 12, -4*w]', '[48, 12, -4*w + 4]', '[49, 7, -7]', '[51, 51, -4*w + 3]', '[51, 51, -2*w + 9]', '[51, 51, 2*w + 7]', '[51, 51, -4*w + 1]', '[52, 26, -4*w + 2]', '[53, 53, -w - 7]', '[53, 53, w - 8]', '[61, 61, -3*w - 8]', '[61, 61, 3*w - 11]', '[64, 8, 8]', '[68, 34, 2*w + 8]', '[68, 34, -2*w + 10]', '[69, 69, -w - 8]', '[69, 69, -5*w - 1]', '[69, 69, 5*w - 6]', '[69, 69, -w + 9]', '[75, 15, -5*w]', '[75, 15, -5*w + 5]', '[79, 79, 5*w - 4]', '[79, 79, 5*w - 1]', '[81, 9, 9]', '[81, 27, 3*w + 9]', '[81, 27, -3*w + 12]', '[81, 81, -5*w + 2]', '[81, 81, -5*w + 3]', '[87, 87, -w - 9]', '[87, 87, 2*w - 11]', '[87, 87, 2*w + 9]', '[87, 87, -w + 10]', '[92, 46, 6*w + 2]', '[92, 46, -6*w + 8]', '[100, 10, 10]', '[101, 101, -6*w - 1]', '[101, 101, 6*w - 7]', '[103, 103, 3*w - 13]', '[103, 103, -3*w - 10]', '[107, 107, -w - 10]', '[107, 107, w - 11]', '[108, 18, -6*w]', '[108, 18, -6*w + 6]', '[108, 54, 2*w + 10]', '[108, 54, -2*w + 12]', '[113, 113, 6*w - 5]', '[113, 113, 6*w - 1]', '[116, 58, 6*w - 4]', '[116, 58, -6*w + 2]', '[117, 39, -6*w + 3]', '[117, 117, -7*w + 10]', '[117, 117, -7*w - 3]', '[121, 11, -11]', '[127, 127, -3*w - 11]', '[127, 127, 3*w - 14]', '[129, 129, w + 11]', '[129, 129, 5*w + 12]', '[129, 129, 5*w - 17]', '[129, 129, w - 12]', '[131, 131, 2*w - 13]', '[131, 131, -2*w - 11]', '[139, 139, -7*w - 1]', '[139, 139, 7*w - 8]', '[144, 12, 12]', '[144, 36, 4*w + 12]', '[144, 36, -4*w + 16]', '[147, 21, 7*w]', '[147, 21, 7*w - 7]', '[153, 51, 3*w + 12]', '[153, 51, -3*w + 15]', '[153, 153, w + 12]', '[153, 153, -7*w + 6]', '[153, 153, -7*w + 1]', '[153, 153, -w + 13]', '[156, 78, 2*w + 12]', '[156, 78, -2*w + 14]', '[157, 157, 7*w - 2]', '[157, 157, 7*w - 5]', '[159, 159, 7*w - 3]', '[159, 159, 8*w + 3]', '[159, 159, 8*w - 11]', '[159, 159, 7*w - 4]', '[169, 13, 13]', '[172, 86, -8*w - 2]', '[172, 86, 8*w - 10]', '[173, 173, 4*w - 17]', '[173, 173, -4*w - 13]', '[179, 179, -w - 13]', '[179, 179, w - 14]', '[181, 181, 3*w - 16]', '[181, 181, -3*w - 13]', '[183, 183, 8*w + 1]', '[183, 183, 11*w + 9]', '[183, 183, 11*w - 20]', '[183, 183, 8*w - 9]', '[191, 191, 9*w - 13]', '[191, 191, -9*w - 4]', '[192, 24, -8*w]', '[192, 24, -8*w + 8]', '[196, 14, -14]', '[199, 199, 8*w - 7]', '[199, 199, 8*w - 1]', '[204, 102, -8*w + 6]', '[204, 102, -4*w + 18]', '[204, 102, 4*w + 14]', '[204, 102, -8*w + 2]', '[207, 69, 9*w + 3]', '[207, 69, -9*w + 12]', '[207, 207, w + 14]', '[207, 207, 8*w - 5]', '[207, 207, -8*w + 3]', '[207, 207, w - 15]', '[208, 52, -8*w + 4]', '[211, 211, -3*w - 14]', '[211, 211, 3*w - 17]', '[212, 106, -2*w - 14]', '[212, 106, 2*w - 16]', '[221, 221, -9*w + 11]', '[221, 221, -9*w - 2]', '[225, 15, 15]', '[225, 45, 5*w + 15]', '[225, 45, -5*w + 20]', '[233, 233, -9*w - 1]', '[233, 233, 9*w - 10]', '[237, 237, -w - 15]', '[237, 237, -4*w - 15]', '[237, 237, 4*w - 19]', '[237, 237, w - 16]', '[243, 27, -9*w]', '[243, 27, -9*w + 9]', '[243, 81, 3*w + 15]', '[243, 81, -3*w + 18]', '[243, 243, -2*w + 17]', '[243, 243, 2*w + 15]', '[244, 122, -6*w - 16]', '[244, 122, 6*w - 22]', '[251, 251, 9*w - 8]', '[251, 251, 9*w - 1]', '[256, 16, 16]', '[257, 257, 9*w - 2]', '[257, 257, 9*w - 7]', '[261, 87, 9*w - 6]', '[261, 87, -9*w + 3]', '[261, 261, -5*w + 21]', '[261, 261, -10*w + 13]', '[261, 261, 10*w + 3]', '[261, 261, -5*w - 16]', '[263, 263, 9*w - 4]', '[263, 263, 9*w - 5]', '[269, 269, -w - 16]', '[269, 269, w - 17]', '[272, 68, 4*w + 16]', '[272, 68, -4*w + 20]', '[276, 138, -2*w - 16]', '[276, 138, -10*w - 2]', '[276, 138, 10*w - 12]', '[276, 138, -2*w + 18]', '[277, 277, 3*w - 19]', '[277, 277, -3*w - 16]', '[283, 283, 11*w - 16]', '[283, 283, -11*w - 5]', '[289, 17, 17]', '[289, 289, -10*w - 1]', '[289, 289, -10*w + 11]', '[299, 299, -5*w - 17]', '[299, 299, -5*w + 22]', '[300, 30, -10*w]', '[300, 30, -10*w + 10]', '[303, 303, w + 17]', '[303, 303, 7*w - 25]', '[303, 303, 7*w + 18]', '[303, 303, w - 18]', '[309, 309, 10*w - 9]', '[309, 309, 13*w + 9]', '[309, 309, 13*w - 22]', '[309, 309, 10*w - 1]', '[311, 311, 2*w - 19]', '[311, 311, -2*w - 17]', '[313, 313, -3*w - 17]', '[313, 313, 3*w - 20]', '[316, 158, 10*w - 8]', '[316, 158, 10*w - 2]', '[321, 321, 10*w - 3]', '[321, 321, 11*w + 3]', '[321, 321, 11*w - 14]', '[321, 321, 10*w - 7]', '[324, 18, 18]', '[324, 54, 6*w + 18]', '[324, 54, -6*w + 24]', '[324, 162, -10*w + 4]', '[324, 162, -10*w + 6]', '[325, 65, -10*w + 5]', '[337, 337, 11*w - 13]', '[337, 337, -11*w - 2]', '[339, 339, -w - 18]', '[339, 339, 5*w - 23]', '[339, 339, -5*w - 18]', '[339, 339, w - 19]', '[347, 347, -12*w - 5]', '[347, 347, 12*w - 17]', '[348, 174, -2*w - 18]', '[348, 174, 4*w - 22]', '[348, 174, 4*w + 18]', '[348, 174, -2*w + 20]', '[351, 117, 3*w + 18]', '[351, 117, -3*w + 21]', '[351, 351, -11*w - 1]', '[351, 351, -11*w + 12]', '[361, 19, -19]', '[363, 33, 11*w]', '[363, 33, 11*w - 11]', '[367, 367, 6*w - 25]', '[367, 367, -6*w - 19]', '[368, 92, 12*w + 4]', '[368, 92, -12*w + 16]', '[373, 373, 11*w - 10]', '[373, 373, 11*w - 1]', '[377, 377, w + 19]', '[377, 377, w - 20]', '[381, 381, 14*w - 23]', '[381, 381, 11*w - 2]', '[381, 381, 11*w - 9]', '[381, 381, 14*w + 9]', '[387, 129, -12*w - 3]', '[387, 129, 12*w - 15]', '[387, 387, -11*w + 8]', '[387, 387, -17*w - 15]', '[387, 387, 17*w - 32]', '[387, 387, 11*w - 3]', '[389, 389, -4*w - 19]', '[389, 389, 4*w - 23]', '[391, 391, -11*w + 7]', '[391, 391, 3*w - 22]', '[391, 391, 3*w + 19]', '[391, 391, 11*w - 4]', '[393, 393, 13*w - 19]', '[393, 393, 11*w - 5]', '[393, 393, 11*w - 6]', '[393, 393, 13*w + 6]', '[400, 20, 20]', '[404, 202, -12*w - 2]', '[404, 202, 12*w - 14]', '[412, 206, 6*w - 26]', '[412, 206, -6*w - 20]', '[417, 417, w + 20]', '[417, 417, 8*w + 21]', '[417, 417, 8*w - 29]', '[417, 417, w - 21]', '[419, 419, -12*w - 1]', '[419, 419, 12*w - 13]', '[425, 85, 5*w + 20]', '[425, 85, -5*w + 25]', '[428, 214, -2*w - 20]', '[428, 214, 2*w - 22]', '[432, 36, -12*w]', '[432, 36, -12*w + 12]', '[432, 108, 4*w + 20]', '[432, 108, -4*w + 24]', '[433, 433, -3*w - 20]', '[433, 433, 3*w - 23]', '[439, 439, 13*w - 17]', '[439, 439, -13*w - 4]', '[441, 21, 21]', '[441, 63, -7*w - 21]', '[441, 63, 7*w - 28]', '[443, 443, 12*w - 11]', '[443, 443, 12*w - 1]', '[452, 226, 12*w - 10]', '[452, 226, 12*w - 2]', '[459, 153, -12*w + 9]', '[459, 153, -6*w + 27]', '[459, 153, 6*w + 21]', '[459, 153, -12*w + 3]', '[459, 459, w + 21]', '[459, 459, -13*w + 16]', '[459, 459, -13*w - 3]', '[459, 459, -w + 22]', '[464, 116, 12*w - 8]', '[464, 116, -12*w + 4]', '[467, 467, 12*w - 7]', '[467, 467, 12*w - 5]', '[468, 78, -12*w + 6]', '[468, 234, -14*w + 20]', '[468, 234, -14*w - 6]', '[471, 471, 5*w - 26]', '[471, 471, 2*w - 23]', '[471, 471, -2*w - 21]', '[471, 471, -5*w - 21]', '[477, 159, -3*w - 21]', '[477, 159, 3*w - 24]', '[477, 477, 4*w - 25]', '[477, 477, -11*w - 24]', '[477, 477, 11*w - 35]', '[477, 477, -4*w - 21]', '[484, 22, -22]', '[491, 491, 7*w - 29]', '[491, 491, -7*w - 22]', '[493, 493, 13*w + 1]', '[493, 493, -14*w - 5]', '[493, 493, 14*w - 19]', '[493, 493, -13*w + 14]', '[503, 503, -w - 22]', '[503, 503, w - 23]', '[507, 39, -13*w]', '[507, 39, -13*w + 13]', '[508, 254, -6*w - 22]', '[508, 254, 6*w - 28]', '[516, 258, 2*w + 22]', '[516, 258, 10*w + 24]', '[516, 258, 10*w - 34]', '[516, 258, 2*w - 24]', '[519, 519, 13*w - 12]', '[519, 519, 17*w - 29]', '[519, 519, 17*w + 12]', '[519, 519, 13*w - 1]', '[521, 521, -15*w + 22]', '[521, 521, 8*w - 31]', '[523, 523, 3*w - 25]', '[523, 523, -3*w - 22]', '[524, 262, 4*w - 26]', '[524, 262, -4*w - 22]', '[529, 23, 23]', '[529, 529, -13*w + 2]', '[529, 529, -13*w + 11]', '[537, 537, 13*w - 3]', '[537, 537, 14*w + 3]', '[537, 537, 14*w - 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68]', '[9013, 9013, 36*w - 133]', '[9013, 9013, -36*w - 97]', '[9049, 9049, -9*w - 92]', '[9049, 9049, 9*w - 101]', '[9091, 9091, 3*w - 97]', '[9091, 9091, -3*w - 94]', '[9103, 9103, 56*w - 61]', '[9103, 9103, -56*w - 5]', '[9109, 9109, 53*w - 22]', '[9109, 9109, 53*w - 31]', '[9127, 9127, 53*w - 28]', '[9127, 9127, 53*w - 25]', '[9151, 9151, -59*w - 17]', '[9151, 9151, 59*w - 76]', '[9161, 9161, 17*w - 109]', '[9161, 9161, -17*w - 92]', '[9181, 9181, 55*w - 2]', '[9181, 9181, 55*w - 53]', '[9187, 9187, -27*w - 94]', '[9187, 9187, 27*w - 121]', '[9203, 9203, 2*w - 97]', '[9203, 9203, -2*w - 95]', '[9221, 9221, 54*w - 43]', '[9221, 9221, 54*w - 11]', '[9227, 9227, 57*w - 65]', '[9227, 9227, -57*w - 8]', '[9239, 9239, -34*w - 97]', '[9239, 9239, 34*w - 131]', '[9257, 9257, 29*w - 124]', '[9257, 9257, -29*w - 95]', '[9281, 9281, 54*w - 41]', '[9281, 9281, 54*w - 13]', '[9283, 9283, -3*w - 95]', '[9283, 9283, 3*w - 98]', '[9311, 9311, 25*w - 119]', '[9311, 9311, -25*w - 94]', '[9337, 9337, -61*w - 22]', '[9337, 9337, 61*w - 83]', '[9343, 9343, 33*w - 130]', '[9343, 9343, -64*w + 95]', '[9377, 9377, 54*w - 17]', '[9377, 9377, 54*w - 37]', '[9403, 9403, 27*w - 122]', '[9403, 9403, -27*w - 95]', '[9409, 97, -97]', '[9413, 9413, 54*w - 19]', '[9413, 9413, 54*w - 35]', '[9421, 9421, 59*w - 73]', '[9421, 9421, -59*w - 14]', '[9437, 9437, -57*w - 5]', '[9437, 9437, 57*w - 62]', '[9439, 9439, -9*w - 94]', '[9439, 9439, 9*w - 103]', '[9461, 9461, 54*w - 23]', '[9461, 9461, 54*w - 31]', '[9463, 9463, 56*w - 55]', '[9463, 9463, 56*w - 1]', '[9467, 9467, -26*w - 95]', '[9467, 9467, 26*w - 121]', '[9473, 9473, 54*w - 29]', '[9473, 9473, 54*w - 25]', '[9491, 9491, 60*w - 77]', '[9491, 9491, -60*w - 17]', '[9533, 9533, 31*w - 128]', '[9533, 9533, 66*w - 101]', '[9539, 9539, -19*w - 94]', '[9539, 9539, 19*w - 113]', '[9551, 9551, -13*w - 94]', '[9551, 9551, 13*w - 107]', '[9619, 9619, 30*w - 127]', '[9619, 9619, -30*w - 97]', '[9623, 9623, 23*w - 118]', '[9623, 9623, -23*w - 95]', '[9629, 9629, 57*w - 59]', '[9629, 9629, -57*w - 2]', '[9643, 9643, 61*w - 80]', '[9643, 9643, -61*w - 19]', '[9649, 9649, 55*w - 41]', '[9649, 9649, 55*w - 14]', '[9689, 9689, -57*w - 1]', '[9689, 9689, 57*w - 58]', '[9697, 9697, 21*w - 116]', '[9697, 9697, -21*w - 95]', '[9721, 9721, 55*w - 38]', '[9721, 9721, 55*w - 17]', '[9733, 9733, -12*w - 95]', '[9733, 9733, 12*w - 107]', '[9749, 9749, 4*w - 101]', '[9749, 9749, -4*w - 97]', '[9767, 9767, -14*w - 95]', '[9767, 9767, 14*w - 109]', '[9803, 9803, 57*w - 56]', '[9803, 9803, 57*w - 1]', '[9811, 9811, 55*w - 32]', '[9811, 9811, 55*w - 23]', '[9829, 9829, 55*w - 26]', '[9829, 9829, 55*w - 29]', '[9851, 9851, 60*w - 73]', '[9851, 9851, -60*w - 13]', '[9857, 9857, 57*w - 2]', '[9857, 9857, 57*w - 55]', '[9871, 9871, -3*w - 98]', '[9871, 9871, 3*w - 101]', '[9883, 9883, 6*w - 103]', '[9883, 9883, -6*w - 97]', '[9907, 9907, 59*w - 67]', '[9907, 9907, -59*w - 8]', '[9923, 9923, 29*w - 127]', '[9923, 9923, -29*w - 98]', '[9929, 9929, -63*w - 23]', '[9929, 9929, 63*w - 86]', '[9931, 9931, 61*w - 77]', '[9931, 9931, -61*w - 16]', '[9941, 9941, -7*w - 97]', '[9941, 9941, 7*w - 104]', '[9949, 9949, 36*w - 137]', '[9949, 9949, -36*w - 101]', '[9967, 9967, 56*w - 43]', '[9967, 9967, 56*w - 13]']}
• 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[]
  maxp	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': [-3, -1, 1], 'conductor': 13, 'degree': 2, 'disc_abs': 13, 'disc_rad': 13, 'disc_sign': 1, 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1], 'galois_label': '2T1', 'galt': 1, 'grd': 3.605551275463989, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.13.1', 'local_algs': ['13.1.2.1a1.1'], 'maxp': 13, 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 0, 'ramps': [13], 'rd': 3.60555127546, 'regulator': {'__RealLiteral__': 0, 'data': '1.19476321729', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}