Hilbert modular form data - 2.2.13.1-81.5-c

Formats: - HTML - YAML - JSON - 2024-10-13T00:42:17.682976

• 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-c', 'label_nsuffix': 2, 'label_suffix': 'c', '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-c', '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, -1, -2, -5, -3, 3, -3, 0, 1, -3, -9, -7, -4, 5, 3, 9, -11, -2, 1, -8, 18, 9, -19, -1, 3, 9, -3, 6, -5, -8, 4, 12, 3, -4, 11, -10, 5, -15, 18, -9, -15, -19, 5, 15, 0, -11, 13, -20, 1, -9, 21, 3, -15, -21, -30, -12, 9, 6, -30, 23, -1, 4, 19, 3, 15, -17, 7, -29, 22, 21, -36, 2, 17, -28, -17, -14, -3, 6, -24, -9, -11, -11, -28, 35, 9, -24, 27, 21, -9, 39, -39, -33, -6, -30, -28, -28, -1, 17, -21, 12, -21, 33, -23, 43, 36, -9, -26, -5, 41, 32, 33, 3, 21, 15, -33, 9, 21, -15, -19, 2, -3, 27, 21, -33, 48, -36, 37, -8, 5, 23, -11, 25, -33, 33, -3, 39, -16, 23, 34, 46, -21, -39, 4, -5, 21, -45, 52, 52, 48, -27, -5, 28, -9, -24, 49, -23, 1, -47, -42, 42, -55, 12, 36, -31, -31, 11, 2, 9, 27, 9, -48, -16, -19, 21, -21, -16, 32, -17, 10, 57, -12, 46, 1, 39, -54, 2, 38, -19, -7, -25, -1, -60, -12, -21, 45, -2, 31, 48, -24, -37, 29, -31, 5, -45, 33, 45, -3, -8, -11, -11, -47, 63, -42, -41, 49, -32, 49, -21, -15, -34, 23, 26, 15, 3, -1, 26, 21, -18, 63, 45, 13, 43, 50, -31, -25, -37, -54, -45, -49, 20, 36, -9, -45, 21, 43, -65, 49, -32, -57, -24, 69, -21, -17, 10, -30, 9, -65, -29, -15, -33, 52, -41, 0, -9, 37, 74, 2, 52, 37, -63, -9, 22, -59, -67, -13, -5, -17, -27, -27, 0, -51, 60, 51, 39, -3, -62, 34, -57, 21, 3, -18, -51, -45, 17, 62, -18, 39, -55, 8, 45, -21, 45, 3, -1, -34, 35, 11, -81, -9, 77, -28, 45, -60, -13, 59, 7, -29, 60, -15, -9, -27, -29, -59, -5, -89, 66, 15, 32, 59, 15, 33, 13, 1, 15, 63, 55, -39, -9, -63, -30, -80, -53, 65, -7, -66, 45, 41, -37, 9, -57, -17, -89, -57, -27, -23, 76, -86, 13, -57, 33, 57, -78, 57, -42, 27, 21, -52, 20, 53, 29, -67, -43, -81, -9, 47, -13, -15, 42, 91, 16, 23, -1, 0, 24, -66, 42, 53, 26, 61, 73, -39, 9, 13, 88, -86, 49, -63, 102, -32, -11, 78, 78, -56, -20, 35, -25, -69, -54, 84, 36, 44, 17, 83, -22, 87, 45, -32, -35, -9, -33, -18, 63, 81, 45, -33, -72, -105, 36, -68, 31, -75, -69, -79, 11, 105, 24, -103, -70, 87, 45, -4, -67, -101, 7, 29, 38, -18, -6, -33, 27, 86, 5, -16, 92, -12, 93, 1, 1, -53, -44, -9, 21, 1, -47, 105, 45, 111, -42, -75, 9, 11, 35, -90, 63, 47, 23, -6, -15, -57, 12, -53, 8, -40, 27, -27, -54, -63, -105, -9, -49, -4, -53, -35, -31, 14, -39, 15, 51, 39, 85, 31, -13, 35, 8, 71, -83, -59, 81, 75, -98, -86, 21, 96, -65, -53, 78, -18, 12, 27, 58, -83, -27, -33, -65, -50, 87, 33, -78, -3, -5, 16, 65, -97, -24, -36, 17, 14, 21, 75, -24, -24, -90, -69, 119, 11, -105, -75, 1, -44, -48, -15, 66, 90, 50, -25, 17, 68, 49, -14, 117, 15, -3, 33, -45, -45, 85, -41, 83, 80, -33, -42, -63, -45, -101, 55, 62, -82, 84, 24, -69, 9, 75, 30, 59, 83, 1, 46, 66, -57, -31, -67, 24, 72, 126, 75, 93, 51, -47, 103, 20, -52, -9, 57, -75, 15, 89, -89, -92, 57, -60, -87, -51, 46, 61, 112, 31, 5, -76, -87, 27, 37, -53, -113, -74, 47, 23, -57, -15, -75, 72, 23, 53, -50, -5, 3, -75, 53, -64, -88, -7, 120, -12, 42, 87, -50, -95, -71, 49, 41, -43, -84, 15, -54, 63, -87, -129, 21, -6, 15, -33, 37, 82, -96, 12, 82, -62, -41, -14, 93, -105, -87, 63, -98, -36, -75, -12, 93, -67, 113, 5, -1, -36, -60, 57, 57, -79, 137, 121, 1, 55, -143, -117, -75, -141, 24, -14, 37, 96, -99, -34, -39, -90, -68, 52, 102, 90, -96, -132, 91, 97, 3, 57, -5, 64, -107, 85, -125, 28, 6, 117, -99, -12, -100, -49, -82, -55, 76, 124, -66, -45, -94, 74, 144, 9, 117, 24, 62, -145, -27, 63, 71, 44, -27, -57, 78, -9, 48, 3, -105, -42, -67, 50, -1, -49, -43, -139, 123, 105, -36, 123, -137, -62, 23, 104, -63, -21, 109, -71, 36, 84, -105, -60, 36, -144, -48, -69, 65, -91, -66, -3, 8, -67, -69, 45, 121, 13, -57, 45, 105, 15, 19, -65, 113, 44, 90, 27, 52, 52, -142, -139, 30, 33, 3, 117, 30, -9, 71, 71, 147, -75, 49, -17, 66, -18, 97, 10, 67, -80, -59, 37, 52, 103, -121, 71, -86, 85, 30, 9, 53, -16, 123, 129, 24, 111, 7, 22, 9, -57, -58, 50, 159, -111, 71, -82, 6, -33, 143, -133, -3, -105, -129, 57, -53, -74, -83, -23, 155, -163, 107, -46, 47, -61, 141, 30, 66, -93, 95, 65, -9, 9, -5, -125, 137, 101, 0, -21, -125, -117, 60, 121, 103, 18, -39, -39, -72, 124, 88, 99, -129, 33, -69, -40, -13, -53, -158, -81, 21, 144, -9, 31, -86, 66, -87, 33, -21, 120, -75, -35, -56, -149, -77, 54, 117, -72, -51, -115, 29, 66, 45, -38, -2, 78, -78, 3, 3, -82, 35, -81, 81, -74, -2, 99, 15, 62, -91, 150, 159, -50, 13, 91, -59, -81, -75, -5, -92, -39, -69, 61, 61, 69, 30, 27, 33, -97, -94, 54, -162, -98, 163, -48, -69, -99, -54, -119, 160, 2, -13, -75, 108, -58, 122, 78, 69, -79, 137, 125, -52, -29, -5, -171, 63, 30, 21, -57, -33, -138, 18, -30, 75, -141, -3, -104, -125, 105, 27, -69, 147, 130, 97, -32, -46, 11, -90, -174, -20, -20, 35, -37, 149, -85, -117, 54, -153, 3, 1, -26, -99, -72, -87, 12, 19, -89, -119, 67, -139, 149, -81, 84, 127, -17, 144, 60, 17, 29, -84, 39, 86, -103, 57, -165, 23, -136, 142, -26, 82, -23, 129, -147, 30, 90, -85, 119, -87, -21, 39, 75, -71, 127, -69, -3, 140, 41, -159, -42, 116, -157, 139, -158, -27, 114, -99, -30, -119, -83, 170, -163, 65, 101, -123, 90, 42, -90, -85, -175, -167, 109, -91, -160, -118, 17, 27, -126, -158, -23, 140, -31, -21, 96, -129, -147, -115, -79, 78, 69, 40, -35, 108, -57, 37, -107, -130, -43, -117, -99, -109, 53, 36, 48, -61, -73, -5, 58, 164, 8, 103, 40, 133, -119, 91, -173, -32, -101, -126, -138, 2, -34, 116, 53, -9, -132, -27, -177, -48, 9, -33, 144, -162, 69, 93, 147, -11, 19, -159, 33, 23, 23, -88, -160, -54, -18, 172, -71, -157, -6, 66, 82, 55, -135, 39, -40, 23, 3, -51, 175, 13, 108, -108, -87, -9, -111, 108, 30, 57, -105, -123, 9, 120, 92, -151, 111, 63, -93, 189, -7, 68, -151, 89, -93, 114, -59, 73, 122, 2, 139, 34, -15, -105, -168, 57, 129, 9, -127, -187, 41, -79, -156, -105, 123, -3, 133, 136, -115, -43, 187, -143, -84, 81, 123, -90, -85, -112, -87, 159, -119, -155, 169, 136], 'hecke_polynomial': 'x', 'label': '2.2.13.1-81.5-c'}
• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  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': [-3, -1, 1], 'conductor': 13, 'degree': 2, 'dirichlet_group': [1, 12], 'disc_abs': 13, 'disc_rad': 13, 'disc_sign': 1, 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [0]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [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], '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': ['13.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [13], 'rd': 3.60555127546, 'regulator': {'__RealLiteral__': 0, 'data': '1.19476321729', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a']}