Hilbert modular form data - 2.2.105.1-36.3-b

Formats: - HTML - YAML - JSON - 2025-09-22T17:57:55.671008

• 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': 105, 'field_bad_primes': [3, 5, 7], 'field_label': '2.2.105.1', 'is_CM': 'yes', 'is_base_change': 'no', 'label': '2.2.105.1-36.3-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 3], 'level_ideal': '[36,12,-3*w + 18]', 'level_label': '36.3', 'level_norm': 36, 'parallel_weight': 2, 'short_label': '36.3-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2,2,-w + 2]', -1], ['[3,3,-w + 2]', -1]], 'hecke_eigenvalues': [0, 0, 0, 0, 4, -5, 7, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -13, 17, 0, 0, -5, 19, 0, 0, 7, 13, 0, 0, -19, 17, 0, 0, 11, 0, 0, 0, 0, 23, -19, -14, -14, 0, 0, 29, -13, -5, -23, 0, 0, 0, 0, 0, 0, 0, 0, 7, 25, 17, -35, 19, 0, 0, 13, -35, 0, 0, 32, 32, 0, 0, 26, 31, -35, 8, 8, -35, 1, 0, 0, 41, -19, -2, -2, 0, 0, 0, 0, 0, 0, -43, 11, 0, 0, 0, 0, -8, -8, 29, 17, 0, 0, -16, -16, -35, -11, -29, 49, 0, 0, -1, -43, 7, -47, 0, 0, 0, 0, 53, -31, 0, 0, -44, -44, 7, 43, -37, 53, 0, 0, 41, 11, 0, 0, 25, 31, 0, 0, 0, 0, 29, 58, 58, 0, 0, 0, 0, -1, 53, 0, 0, -35, 61, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 44, 44, -59, 49], 'hecke_polynomial': 'x', 'label': '2.2.105.1-36.3-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 105, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[3, 3, w + 1]', '[4, 2, 2]', '[4, 4, w + 5]', '[4, 4, -w + 6]', '[5, 5, 2*w - 11]', '[6, 6, -w + 5]', '[6, 6, -w - 4]', '[7, 7, w + 3]', '[8, 4, 2*w]', '[8, 4, 2*w + 2]', '[8, 8, w + 1]', '[8, 8, w + 6]', '[9, 3, 3]', '[10, 10, w + 2]', '[10, 10, w + 7]', '[12, 6, 2*w + 2]', '[12, 12, w + 1]', '[12, 12, w + 10]', '[13, 13, w]', '[13, 13, w + 12]', '[14, 14, -w - 3]', '[14, 14, -w + 4]', '[15, 15, w + 7]', '[16, 4, 4]', '[16, 8, 2*w + 10]', '[16, 8, -2*w + 12]', '[16, 16, w + 6]', '[16, 16, -w + 7]', '[18, 6, 3*w]', '[18, 6, 3*w + 3]', '[20, 10, 4*w - 22]', '[20, 20, w + 2]', '[20, 20, w - 3]', '[21, 21, -4*w + 23]', '[23, 23, w + 8]', '[23, 23, w + 14]', '[24, 12, -2*w + 10]', '[24, 12, -2*w - 8]', '[24, 24, -w - 1]', '[24, 24, -w + 2]', '[25, 5, 5]', '[26, 26, w]', '[26, 26, 3*w - 16]', '[26, 26, 3*w + 13]', '[26, 26, w - 1]', '[27, 9, 3*w + 3]', '[28, 14, 2*w + 6]', '[28, 28, w + 10]', '[28, 28, w + 17]', '[30, 30, -w - 7]', '[30, 30, w - 8]', '[32, 8, 4*w]', '[32, 8, 4*w + 4]', '[32, 16, 2*w + 2]', '[32, 16, 2*w + 12]', '[32, 32, w + 9]', '[32, 32, w + 22]', '[35, 35, w + 17]', '[36, 6, 6]', '[36, 12, 3*w + 15]', '[36, 12, -3*w + 18]', '[39, 39, 2*w - 13]', '[39, 39, -2*w - 11]', '[40, 20, 2*w + 4]', '[40, 20, 2*w + 14]', '[40, 40, w + 17]', '[40, 40, w + 22]', '[41, 41, 2*w - 9]', '[41, 41, -2*w - 7]', '[42, 42, w + 10]', '[42, 42, w + 31]', '[45, 15, 6*w - 33]', '[46, 46, w + 8]', '[46, 46, 5*w + 24]', '[46, 46, -5*w + 29]', '[46, 46, -w + 9]', '[48, 12, 4*w + 4]', '[48, 24, 2*w + 2]', '[48, 24, 2*w + 20]', '[48, 48, w + 22]', '[48, 48, w + 25]', '[49, 7, 7]', '[50, 10, 5*w]', '[50, 10, 5*w + 5]', '[52, 26, 2*w]', '[52, 26, 2*w + 24]', '[52, 52, w + 13]', '[52, 52, w + 25]', '[52, 52, w + 26]', '[52, 52, w + 38]', '[53, 53, w + 11]', '[53, 53, w + 41]', '[54, 18, -3*w + 15]', '[54, 18, -3*w - 12]', '[56, 28, -2*w - 6]', '[56, 28, -2*w + 8]', '[56, 56, -5*w + 27]', '[56, 56, -5*w - 22]', '[59, 59, 4*w + 17]', '[59, 59, 4*w - 21]', '[60, 30, 2*w + 14]', '[60, 60, w + 22]', '[60, 60, w + 37]', '[63, 21, 3*w + 9]', '[64, 8, 8]', '[64, 16, 4*w + 20]', '[64, 16, -4*w + 24]', '[64, 32, 2*w + 12]', '[64, 32, -2*w + 14]', '[64, 64, w + 9]', '[64, 64, -w + 10]', '[65, 65, w + 12]', '[65, 65, w + 52]', '[69, 69, -2*w + 7]', '[69, 69, -2*w - 5]', '[70, 70, 3*w - 19]', '[70, 70, -3*w - 16]', '[72, 12, 6*w]', '[72, 12, 6*w + 6]', '[72, 24, 3*w + 3]', '[72, 24, 3*w + 18]', '[73, 73, w + 27]', '[73, 73, w + 45]', '[75, 15, 5*w + 5]', '[78, 78, w + 13]', '[78, 78, w + 25]', '[78, 78, w + 52]', '[78, 78, w + 64]', '[79, 79, -6*w - 29]', '[79, 79, 6*w - 35]', '[80, 20, 8*w - 44]', '[80, 40, 2*w + 4]', '[80, 40, 2*w - 6]', '[80, 80, 3*w - 14]', '[80, 80, 3*w + 11]', '[81, 9, 9]', '[82, 82, w + 16]', '[82, 82, w + 24]', '[82, 82, w + 57]', '[82, 82, w + 65]', '[84, 42, -8*w + 46]', '[84, 84, w + 10]', '[84, 84, -w + 11]', '[89, 89, 2*w - 5]', '[89, 89, -2*w - 3]', '[90, 30, 3*w + 6]', '[90, 30, 3*w + 21]', '[91, 91, 2*w - 15]', '[91, 91, -2*w - 13]', '[92, 46, 2*w + 16]', '[92, 46, 2*w + 28]', '[92, 92, w + 14]', '[92, 92, w + 37]', '[92, 92, w + 54]', '[92, 92, w + 77]', '[96, 24, -4*w + 20]', '[96, 24, -4*w - 16]', '[96, 48, -2*w - 2]', '[96, 48, -2*w + 4]', '[96, 96, -7*w + 38]', '[96, 96, -7*w - 31]', '[97, 97, w + 34]', '[97, 97, w + 62]', '[98, 14, 7*w]', '[98, 14, 7*w + 7]', '[100, 10, 10]', '[100, 20, 5*w + 25]', '[100, 20, -5*w + 30]', '[101, 101, 2*w - 3]', '[101, 101, -2*w - 1]', '[103, 103, w + 32]', '[103, 103, w + 70]', '[104, 52, 2*w]', '[104, 52, 6*w - 32]', '[104, 52, 6*w + 26]', '[104, 52, 2*w - 2]', '[104, 104, 5*w + 21]', '[104, 104, 3*w + 10]', '[104, 104, 3*w - 13]', '[104, 104, 5*w - 26]', '[105, 105, 2*w - 1]', '[106, 106, -w - 11]', '[106, 106, -3*w - 17]', '[106, 106, 3*w - 20]', '[106, 106, w - 12]', '[107, 107, w + 15]', '[107, 107, w + 91]', '[108, 18, 6*w + 6]', '[108, 36, 3*w + 3]', '[108, 36, 3*w + 30]', '[109, 109, 4*w - 25]', '[109, 109, -4*w - 21]', '[112, 28, 4*w + 12]', '[112, 56, 2*w + 20]', '[112, 56, 2*w + 34]', '[112, 112, w + 38]', '[112, 112, w + 73]', '[113, 113, w + 30]', '[113, 113, w + 82]', '[115, 115, w + 37]', '[115, 115, w + 77]', '[117, 39, 3*w]', '[117, 39, 3*w + 36]', '[118, 118, w + 19]', '[118, 118, w + 39]', '[118, 118, w + 78]', '[118, 118, w + 98]', '[120, 60, -2*w - 14]', '[120, 60, 2*w - 16]', '[120, 120, -7*w - 34]', '[120, 120, 7*w - 41]', '[121, 11, -11]', '[123, 123, w + 16]', '[123, 123, w + 106]', '[125, 25, 10*w - 55]', '[126, 42, -3*w - 9]', '[126, 42, -3*w + 12]', '[128, 16, 8*w]', '[128, 16, 8*w + 8]', '[128, 32, 4*w + 4]', '[128, 32, 4*w + 24]', '[128, 64, 2*w + 18]', '[128, 64, 2*w + 44]', '[128, 128, w + 54]', '[128, 128, w + 73]', '[130, 130, w + 12]', '[130, 130, -9*w + 52]', '[130, 130, 9*w + 43]', '[130, 130, -w + 13]', '[131, 131, 4*w - 19]', '[131, 131, -4*w - 15]', '[135, 45, 3*w + 21]', '[137, 137, w + 33]', '[137, 137, w + 103]', '[138, 138, w + 31]', '[138, 138, w + 37]', '[138, 138, w + 100]', '[138, 138, w + 106]', '[140, 70, 2*w + 34]', '[140, 140, w + 17]', '[140, 140, w + 122]', '[144, 12, 12]', '[144, 24, 6*w + 30]', '[144, 24, -6*w + 36]', '[144, 48, 3*w + 18]', '[144, 48, -3*w + 21]', '[146, 146, 9*w - 49]', '[146, 146, 3*w - 11]', '[146, 146, 3*w + 8]', '[146, 146, 9*w + 40]', '[147, 21, 7*w + 7]', '[150, 30, -5*w + 25]', '[150, 30, -5*w - 20]', '[151, 151, 2*w - 17]', '[151, 151, -2*w - 15]', '[156, 78, 4*w - 26]', '[156, 78, -4*w - 22]', '[156, 156, -w - 13]', '[156, 156, 5*w - 31]', '[156, 156, -5*w - 26]', '[156, 156, w - 14]', '[157, 157, w + 66]', '[157, 157, w + 90]', '[158, 158, w + 18]', '[158, 158, w + 60]', '[158, 158, w + 97]', '[158, 158, w + 139]', '[159, 159, 8*w + 35]', '[159, 159, 8*w - 43]', '[160, 40, 4*w + 8]', '[160, 40, 4*w + 28]', '[160, 80, 2*w + 34]', '[160, 80, 2*w + 44]', '[160, 160, w + 22]', '[160, 160, w + 137]', '[161, 161, -6*w - 25]', '[161, 161, -6*w + 31]', '[162, 18, 9*w]', '[162, 18, 9*w + 9]', '[164, 82, 4*w - 18]', '[164, 82, -4*w - 14]', '[164, 164, 3*w + 7]', '[164, 164, -19*w - 87]', '[164, 164, 19*w - 106]', '[164, 164, -3*w + 10]', '[168, 84, 2*w + 20]', '[168, 84, 2*w + 62]', '[168, 168, w + 73]', '[168, 168, w + 94]', '[169, 13, 13]', '[169, 169, 8*w + 39]', '[169, 169, -8*w + 47]', '[175, 35, 5*w + 15]', '[177, 177, w + 19]', '[177, 177, w + 157]', '[178, 178, w + 42]', '[178, 178, w + 46]', '[178, 178, w + 131]', '[178, 178, w + 135]', '[180, 30, 12*w - 66]', '[180, 60, 3*w + 6]', '[180, 60, 3*w - 9]', '[182, 182, w + 38]', '[182, 182, w + 52]', '[182, 182, w + 129]', '[182, 182, w + 143]', '[184, 92, 2*w + 16]', '[184, 92, 10*w + 48]', '[184, 92, -10*w + 58]', '[184, 92, -2*w + 18]', '[184, 184, w + 14]', '[184, 184, -3*w + 22]', '[184, 184, 3*w + 19]', '[184, 184, -w + 15]', '[189, 63, -12*w + 69]', '[192, 24, 8*w + 8]', '[192, 48, 4*w + 4]', '[192, 48, 4*w + 40]', '[192, 96, 2*w + 44]', '[192, 96, 2*w + 50]', '[192, 192, w + 73]', '[192, 192, w + 118]', '[194, 194, -5*w + 24]', '[194, 194, 3*w - 8]', '[194, 194, -3*w - 5]', '[194, 194, 5*w + 19]', '[195, 195, -4*w - 13]', '[195, 195, -4*w + 17]', '[196, 14, 14]', '[196, 28, 7*w + 35]', '[196, 28, -7*w + 42]', '[197, 197, w + 20]', '[197, 197, w + 176]', '[200, 20, 10*w]', '[200, 20, 10*w + 10]', '[200, 40, 5*w + 5]', '[200, 40, 5*w + 30]', '[202, 202, w + 49]', '[202, 202, w + 51]', '[202, 202, w + 150]', '[202, 202, w + 152]', '[205, 205, -36*w + 203]', '[205, 205, 4*w - 27]', '[206, 206, 11*w - 60]', '[206, 206, -3*w - 4]', '[206, 206, 3*w - 7]', '[206, 206, -11*w - 49]', '[207, 69, 3*w + 24]', '[207, 69, 3*w + 42]', '[208, 52, 4*w]', '[208, 52, 4*w + 48]', '[208, 104, 2*w + 26]', '[208, 104, 2*w + 50]', '[208, 104, 2*w + 52]', '[208, 104, 2*w + 76]', '[208, 208, w + 25]', '[208, 208, w + 38]', '[208, 208, w + 169]', '[208, 208, w + 182]', '[210, 210, w + 52]', '[210, 210, w + 157]', '[211, 211, 6*w - 37]', '[211, 211, 6*w + 31]', '[212, 106, 2*w + 22]', '[212, 106, 2*w + 82]', '[212, 212, w + 41]', '[212, 212, w + 94]', '[212, 212, w + 117]', '[212, 212, w + 170]', '[214, 214, -w - 15]', '[214, 214, -5*w - 27]', '[214, 214, 5*w - 32]', '[214, 214, w - 16]', '[216, 36, -6*w + 30]', '[216, 36, -6*w - 24]', '[216, 72, -3*w - 3]', '[216, 72, -3*w + 6]', '[218, 218, w + 21]', '[218, 218, w + 87]', '[218, 218, w + 130]', '[218, 218, w + 196]', '[219, 219, 2*w - 19]', '[219, 219, -2*w - 17]', '[223, 223, w + 47]', '[223, 223, w + 175]', '[224, 56, -4*w - 12]', '[224, 56, -4*w + 16]', '[224, 112, -10*w + 54]', '[224, 112, -10*w - 44]', '[224, 224, -3*w + 5]', '[224, 224, -3*w - 2]', '[225, 15, 15]', '[226, 226, 19*w - 108]', '[226, 226, 3*w + 20]', '[226, 226, 3*w - 23]', '[226, 226, 19*w + 89]', '[230, 230, 7*w + 29]', '[230, 230, 3*w + 1]', '[230, 230, 3*w - 4]', '[230, 230, 7*w - 36]', '[233, 233, w + 86]', '[233, 233, w + 146]', '[234, 78, 3*w]', '[234, 78, 9*w - 48]', '[234, 78, 9*w + 39]', '[234, 78, 3*w - 3]', '[236, 118, 8*w + 34]', '[236, 118, 8*w - 42]', '[236, 236, 3*w - 2]', '[236, 236, 5*w + 18]', '[236, 236, 5*w - 23]', '[236, 236, 3*w - 1]', '[237, 237, w + 97]', '[237, 237, w + 139]', '[240, 60, 4*w + 28]', '[240, 120, 2*w + 44]', '[240, 120, 2*w + 74]', '[240, 240, w + 22]', '[240, 240, w + 217]', '[242, 22, 11*w]', '[242, 22, 11*w + 11]', '[243, 27, 9*w + 9]', '[245, 35, 14*w - 77]', '[246, 246, -w - 16]', '[246, 246, 17*w + 80]', '[246, 246, 17*w - 97]', '[246, 246, -w + 17]', '[250, 50, 5*w + 10]', '[250, 50, 5*w + 35]', '[251, 251, 4*w - 15]', '[251, 251, -4*w - 11]', '[252, 42, 6*w + 18]', '[252, 84, 3*w + 30]', '[252, 84, 3*w + 51]', '[256, 16, 16]', '[256, 32, 8*w + 40]', '[256, 32, -8*w + 48]', '[256, 64, 4*w + 24]', '[256, 64, -4*w + 28]', '[256, 128, 2*w + 18]', '[256, 128, -2*w + 20]', '[256, 256, -13*w + 75]', '[256, 256, 13*w + 62]', '[260, 130, 2*w + 24]', '[260, 130, 2*w + 104]', '[260, 260, w + 77]', '[260, 260, w + 117]', '[260, 260, w + 142]', '[260, 260, w + 182]', '[262, 262, w + 28]', '[262, 262, w + 102]', '[262, 262, w + 159]', '[262, 262, w + 233]', '[263, 263, w + 23]', '[263, 263, w + 239]', '[265, 265, w + 117]', '[265, 265, w + 147]', '[267, 267, w + 46]', '[267, 267, w + 220]', '[269, 269, 6*w - 29]', '[269, 269, 6*w + 23]', '[270, 90, -3*w - 21]', '[270, 90, 3*w - 24]', '[273, 273, w + 52]', '[273, 273, w + 220]', '[274, 274, 7*w - 43]', '[274, 274, -5*w + 33]', '[274, 274, -5*w - 28]', '[274, 274, 7*w + 36]', '[276, 138, -4*w + 14]', '[276, 138, -4*w - 10]', '[276, 276, -13*w + 71]', '[276, 276, -5*w + 22]', '[276, 276, -5*w - 17]', '[276, 276, -13*w - 58]', '[280, 140, 6*w - 38]', '[280, 140, -6*w - 32]', '[280, 280, -w - 17]', '[280, 280, w - 18]', '[283, 283, w + 58]', '[283, 283, w + 224]', '[287, 287, w + 24]', '[287, 287, w + 262]', '[288, 24, 12*w]', '[288, 24, 12*w + 12]', '[288, 48, 6*w + 6]', '[288, 48, 6*w + 36]', '[288, 96, 3*w + 27]', '[288, 96, 3*w + 66]', '[289, 17, -17]', '[291, 291, 10*w + 49]', '[291, 291, 10*w - 59]', '[292, 146, 2*w + 54]', '[292, 146, 2*w + 90]', '[292, 292, w + 45]', '[292, 292, w + 118]', '[292, 292, w + 173]', '[292, 292, w + 246]', '[294, 42, -7*w + 35]', '[294, 42, -7*w - 28]', '[295, 295, -2*w + 21]', '[295, 295, 2*w + 19]', '[299, 299, 4*w + 9]', '[299, 299, 12*w + 53]', '[299, 299, 12*w - 65]', '[299, 299, 4*w - 13]', '[300, 30, 10*w + 10]', '[300, 60, 5*w + 5]', '[300, 60, 5*w + 50]', '[302, 302, w + 67]', '[302, 302, w + 83]', '[302, 302, w + 218]', '[302, 302, w + 234]', '[303, 303, w + 49]', '[303, 303, w + 253]', '[307, 307, w + 121]', '[307, 307, w + 185]', '[309, 309, -4*w + 29]', '[309, 309, -4*w - 25]', '[311, 311, 8*w + 33]', '[311, 311, 8*w - 41]', '[312, 156, 2*w + 26]', '[312, 156, 2*w + 50]', '[312, 156, 2*w + 104]', '[312, 156, 2*w + 128]', '[312, 312, w + 25]', '[312, 312, w + 142]', '[312, 312, w + 169]', '[312, 312, w + 286]', '[313, 313, w + 61]', '[313, 313, w + 251]', '[314, 314, 5*w + 16]', '[314, 314, -23*w + 128]', '[314, 314, 23*w + 105]', '[314, 314, -5*w + 21]', '[315, 105, 3*w + 51]', '[316, 158, -12*w - 58]', '[316, 158, 12*w - 70]', '[316, 316, -w - 18]', '[316, 316, 3*w - 25]', '[316, 316, -3*w - 22]', '[316, 316, w - 19]', '[317, 317, w + 115]', '[317, 317, w + 201]', '[318, 318, w + 64]', '[318, 318, w + 94]', '[318, 318, w + 223]', '[318, 318, w + 253]', '[320, 40, 16*w - 88]', '[320, 80, 4*w + 8]', '[320, 80, 4*w - 12]', '[320, 160, 6*w - 28]', '[320, 160, 6*w + 22]', '[320, 320, 9*w - 47]', '[320, 320, 9*w + 38]', '[321, 321, 10*w - 53]', '[321, 321, 10*w + 43]', '[322, 322, w + 31]', '[322, 322, w + 129]', '[322, 322, w + 192]', '[322, 322, w + 290]', '[324, 18, 18]', '[324, 36, 9*w + 45]', '[324, 36, -9*w + 54]', '[325, 65, 5*w]', '[325, 65, 5*w + 60]', '[327, 327, w + 130]', '[327, 327, w + 196]', '[328, 164, 2*w + 32]', '[328, 164, 2*w + 48]', '[328, 164, 2*w + 114]', '[328, 164, 2*w + 130]', '[328, 328, w + 57]', '[328, 328, w + 65]', '[328, 328, w + 262]', '[328, 328, w + 270]', '[331, 331, -14*w - 67]', '[331, 331, 14*w - 81]', '[336, 84, -16*w + 92]', '[336, 168, 2*w + 20]', '[336, 168, -2*w + 22]', '[336, 336, 5*w + 29]', '[336, 336, -5*w + 34]', '[338, 26, 13*w]', '[338, 26, 13*w + 13]', '[338, 338, w + 26]', '[338, 338, w + 142]', '[338, 338, w + 195]', '[338, 338, w + 311]', '[339, 339, -4*w + 11]', '[339, 339, 4*w + 7]', '[343, 49, 7*w + 21]', '[345, 345, 8*w - 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391]', '[9970, 9970, -17*w + 141]', '[9970, 9970, -17*w - 124]', '[9970, 9970, -113*w + 644]', '[9971, 767, 52*w + 221]', '[9971, 767, 52*w - 273]', '[9971, 9971, 20*w - 33]', '[9971, 9971, 28*w - 117]', '[9971, 9971, 28*w + 89]', '[9971, 9971, 20*w + 13]', '[9973, 9973, w + 1706]', '[9973, 9973, w + 8266]', '[9974, 9974, 31*w - 139]', '[9974, 9974, 55*w - 291]', '[9974, 9974, 55*w + 236]', '[9974, 9974, 31*w + 108]', '[9980, 4990, -32*w + 146]', '[9980, 4990, -32*w - 114]', '[9980, 9980, -153*w + 854]', '[9980, 9980, -23*w + 74]', '[9980, 9980, -23*w - 51]', '[9980, 9980, -53*w + 279]', '[9981, 3327, 54*w - 285]', '[9981, 3327, 54*w + 231]', '[9984, 624, 32*w - 208]', '[9984, 624, -32*w - 176]', '[9984, 1248, -8*w - 104]', '[9984, 1248, 40*w - 248]', '[9984, 1248, -40*w - 208]', '[9984, 1248, 8*w - 112]', '[9984, 2496, -4*w - 100]', '[9984, 2496, -76*w - 364]', '[9984, 2496, 76*w - 440]', '[9984, 2496, 4*w - 104]', '[9984, 4992, -62*w - 302]', '[9984, 4992, -14*w - 116]', '[9984, 4992, 14*w - 130]', '[9984, 4992, 62*w - 364]', '[9984, 9984, 19*w - 149]', '[9984, 9984, -23*w - 143]', '[9984, 9984, 23*w - 166]', '[9984, 9984, -19*w - 130]', '[9985, 9985, w + 3867]', '[9985, 9985, w + 6117]', '[9991, 9991, 18*w - 145]', '[9991, 9991, 46*w + 233]', '[9991, 9991, 46*w - 279]', '[9991, 9991, -18*w - 127]', '[9995, 9995, -236*w + 1323]', '[9995, 9995, -36*w + 173]', '[9998, 9998, w + 141]', '[9998, 9998, w + 4857]', '[9998, 9998, w + 5140]', '[9998, 9998, w + 9856]', '[10000, 100, 100]', '[10000, 200, 50*w + 250]', '[10000, 200, -50*w + 300]', '[10000, 400, 25*w + 150]', '[10000, 400, -25*w + 175]'], 'label': '2.2.105.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[3, 3, w + 1]', '[5, 5, 2*w - 11]', '[7, 7, w + 3]', '[13, 13, w]', '[13, 13, w + 12]', '[23, 23, w + 8]', '[23, 23, w + 14]', '[41, 41, 2*w - 9]', '[41, 41, -2*w - 7]', '[53, 53, w + 11]', '[53, 53, w + 41]', '[59, 59, 4*w + 17]', '[59, 59, 4*w - 21]', '[73, 73, w + 27]', '[73, 73, w + 45]', '[79, 79, -6*w - 29]', '[79, 79, 6*w - 35]', '[89, 89, 2*w - 5]', '[89, 89, -2*w - 3]', '[97, 97, w + 34]', '[97, 97, w + 62]', '[101, 101, 2*w - 3]', '[101, 101, -2*w - 1]', '[103, 103, w + 32]', '[103, 103, w + 70]', '[107, 107, w + 15]', '[107, 107, w + 91]', '[109, 109, 4*w - 25]', '[109, 109, -4*w - 21]', '[113, 113, w + 30]', '[113, 113, w + 82]', '[121, 11, -11]', '[131, 131, 4*w - 19]', '[131, 131, -4*w - 15]', '[137, 137, w + 33]', '[137, 137, w + 103]', '[151, 151, 2*w - 17]', '[151, 151, -2*w - 15]', '[157, 157, w + 66]', '[157, 157, w + 90]', '[197, 197, w + 20]', '[197, 197, w + 176]', '[211, 211, 6*w - 37]', '[211, 211, 6*w + 31]', '[223, 223, w + 47]', '[223, 223, w + 175]', '[233, 233, w + 86]', '[233, 233, w + 146]', '[251, 251, 4*w - 15]', '[251, 251, -4*w - 11]', '[263, 263, w + 23]', '[263, 263, w + 239]', '[269, 269, 6*w - 29]', '[269, 269, 6*w + 23]', '[283, 283, w + 58]', '[283, 283, w + 224]', '[289, 17, -17]', '[307, 307, w + 121]', '[307, 307, w + 185]', '[311, 311, 8*w + 33]', '[311, 311, 8*w - 41]', '[313, 313, w + 61]', '[313, 313, w + 251]', '[317, 317, w + 115]', '[317, 317, w + 201]', '[331, 331, -14*w - 67]', '[331, 331, 14*w - 81]', '[347, 347, w + 105]', '[347, 347, w + 241]', '[361, 19, -19]', '[367, 367, w + 101]', '[367, 367, w + 265]', '[379, 379, 2*w - 23]', '[379, 379, -2*w - 21]', '[397, 397, w + 180]', '[397, 397, w + 216]', '[419, 419, 4*w - 3]', '[419, 419, 4*w - 1]', '[421, 421, -4*w - 27]', '[421, 421, 4*w - 31]', '[433, 433, w + 188]', '[433, 433, w + 244]', '[443, 443, w + 136]', '[443, 443, w + 306]', '[461, 461, -6*w - 19]', '[461, 461, 6*w - 25]', '[479, 479, -24*w + 133]', '[479, 479, -16*w + 87]', '[499, 499, -6*w - 35]', '[499, 499, 6*w - 41]', '[509, 509, 10*w + 41]', '[509, 509, 10*w - 51]', '[521, 521, -30*w + 167]', '[521, 521, -14*w + 75]', '[523, 523, w + 72]', '[523, 523, w + 450]', '[541, 541, 4*w - 33]', '[541, 541, -4*w - 29]', '[557, 557, w + 208]', '[557, 557, w + 348]', '[571, 571, 2*w - 27]', '[571, 571, -2*w - 25]', '[577, 577, w + 166]', '[577, 577, w + 410]', '[607, 607, w + 85]', '[607, 607, w + 521]', '[617, 617, w + 35]', '[617, 617, w + 581]', '[631, 631, 34*w - 193]', '[631, 631, 14*w - 83]', '[643, 643, w + 275]', '[643, 643, w + 367]', '[653, 653, w + 36]', '[653, 653, w + 616]', '[683, 683, w + 202]', '[683, 683, w + 480]', '[709, 709, 12*w - 73]', '[709, 709, 12*w + 61]', '[719, 719, -8*w - 27]', '[719, 719, 8*w - 35]', '[727, 727, w + 194]', '[727, 727, w + 532]', '[733, 733, w + 342]', '[733, 733, w + 390]', '[739, 739, -10*w - 53]', '[739, 739, 10*w - 63]', '[743, 743, w + 261]', '[743, 743, w + 481]', '[751, 751, 26*w - 149]', '[751, 751, 22*w - 127]', '[761, 761, -18*w + 97]', '[761, 761, -34*w + 189]', '[787, 787, w + 177]', '[787, 787, w + 609]', '[827, 827, w + 81]', '[827, 827, w + 745]', '[839, 839, -8*w - 25]', '[839, 839, 8*w - 33]', '[841, 29, -29]', '[853, 853, w + 92]', '[853, 853, w + 760]', '[863, 863, w + 259]', '[863, 863, w + 603]', '[881, 881, 6*w - 11]', '[881, 881, -6*w - 5]', '[919, 919, 2*w - 33]', '[919, 919, -2*w - 31]', '[929, 929, -6*w - 1]', '[929, 929, 6*w - 7]', '[937, 937, w + 441]', '[937, 937, w + 495]', '[941, 941, 6*w - 5]', '[941, 941, 6*w - 1]', '[947, 947, w + 199]', '[947, 947, w + 747]', '[953, 953, w + 416]', '[953, 953, w + 536]', '[961, 31, -31]', '[971, 971, 12*w - 59]', '[971, 971, 12*w + 47]', '[977, 977, w + 44]', '[977, 977, w + 932]', '[991, 991, -6*w - 41]', '[991, 991, 6*w - 47]', '[997, 997, w + 109]', '[997, 997, w + 887]']}
• 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': [-26, -1, 1], 'conductor': 105, 'degree': 2, 'dirichlet_group': [1, 104], 'disc_abs': 105, 'disc_rad': 105, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [0]], [7, [0]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 10.246950765959598, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.105.1', 'local_algs': ['3.1.2.1a1.1', '5.1.2.1a1.1', '7.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [3, 5, 7], 'rd': 10.246950766, 'regulator': {'__RealLiteral__': 0, 'data': '4.40657049308', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 8 a + 37 \\)'], 'used_grh': False, 'zk': ['1', 'a']}