Hilbert modular form data - 2.2.273.1-4.1-d

Formats: - HTML - YAML - JSON - 2025-09-25T20:14:17.481061

• 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': 273, 'field_bad_primes': [3, 7, 13], 'field_label': '2.2.273.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.273.1-4.1-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [2], 'level_ideal': '[4, 2, 2]', 'level_label': '4.1', 'level_norm': 4, 'parallel_weight': 2, 'short_label': '4.1-d', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', 1], ['[2, 2, w + 1]', 1]], 'hecke_eigenvalues': [-1, -1, -3, -5, 0, 0, 2, -3, -3, 2, 2, 7, -8, -8, -11, -11, -9, -9, -2, -2, 10, 10, 8, 8, 12, 12, -2, -2, 15, 15, -18, -18, -6, -6, 6, 6, 15, 15, -13, -13, -7, -7, -5, -5, 15, 15, 10, 10, -12, -12, -21, -21, 0, 0, -1, -1, -16, -16, -30, -30, -14, -14, -30, -30, 6, 6, 5, 5, 1, 1, 0, 0, 16, 16, -22, -22, -6, -6, 14, 14, 27, 27, 33, 33, 0, 0, -36, -36, 6, 6, 27, 27, 34, 17, 17, 33, 33, 21, 21, 13, 13, -46, -46, 36, 36, -40, -40, 40, 40, -30, -30, 22, 22, -17, -17, 18, 18, 30, 30, 20, 20, -12, -12, 19, 19, -33, -33, 4, 4, 38, 38, 4, 4, 32, 32, -42, -42, 16, 16, 15, 15, 38, 38, -30, -30, 10, -19, -19, -18, -18, 33, 33, 15, 15, 17, 17, 24, 24, 53, 53, -52, -52, -36, -36, -9, -9, 24, 24, 10, 10], 'hecke_polynomial': 'x', 'label': '2.2.273.1-4.1-d'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 273, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[3, 3, -4*w + 35]', '[4, 2, 2]', '[4, 4, w + 8]', '[4, 4, -w + 9]', '[6, 6, w + 1]', '[6, 6, w + 4]', '[7, 7, w + 3]', '[8, 4, 2*w]', '[8, 4, 2*w + 2]', '[8, 8, w + 3]', '[8, 8, w + 4]', '[9, 3, 3]', '[11, 11, w + 1]', '[11, 11, w + 9]', '[12, 6, -8*w + 70]', '[12, 12, -w + 8]', '[12, 12, -w - 7]', '[13, 13, w + 6]', '[14, 14, -3*w - 23]', '[14, 14, -3*w + 26]', '[16, 4, 4]', '[16, 8, 2*w + 16]', '[16, 8, -2*w + 18]', '[16, 16, -5*w + 44]', '[16, 16, 5*w + 39]', '[17, 17, -2*w + 17]', '[17, 17, -2*w - 15]', '[18, 6, 3*w]', '[18, 6, 3*w + 3]', '[19, 19, w + 5]', '[19, 19, w + 13]', '[21, 21, w + 10]', '[22, 22, 9*w - 79]', '[22, 22, -w - 9]', '[22, 22, w - 10]', '[22, 22, -9*w - 70]', '[24, 12, 2*w + 2]', '[24, 12, 2*w + 8]', '[24, 24, w + 4]', '[24, 24, w + 19]', '[25, 5, -5]', '[26, 26, w + 6]', '[26, 26, w - 7]', '[27, 9, -12*w + 105]', '[28, 14, 2*w + 6]', '[28, 28, w + 3]', '[28, 28, w + 24]', '[31, 31, w + 2]', '[31, 31, w + 28]', '[32, 8, 4*w]', '[32, 8, 4*w + 4]', '[32, 16, 2*w + 6]', '[32, 16, 2*w + 8]', '[32, 32, w + 11]', '[32, 32, w + 20]', '[33, 33, w + 1]', '[33, 33, w + 31]', '[34, 34, w]', '[34, 34, w + 16]', '[34, 34, w + 17]', '[34, 34, w + 33]', '[36, 6, 6]', '[36, 12, 3*w + 24]', '[36, 12, -3*w + 27]', '[38, 38, -w - 5]', '[38, 38, 7*w - 61]', '[38, 38, -7*w - 54]', '[38, 38, w - 6]', '[39, 39, w + 19]', '[42, 42, w + 10]', '[42, 42, -w + 11]', '[43, 43, -38*w + 333]', '[43, 43, 6*w - 53]', '[44, 22, 2*w + 2]', '[44, 22, 2*w + 18]', '[44, 44, w + 12]', '[44, 44, w + 20]', '[44, 44, w + 23]', '[44, 44, w + 31]', '[48, 12, -16*w + 140]', '[48, 24, -2*w + 16]', '[48, 24, -2*w - 14]', '[48, 48, -w - 4]', '[48, 48, -w + 5]', '[49, 7, 7]', '[50, 10, 5*w]', '[50, 10, 5*w + 5]', '[51, 51, -2*w + 19]', '[51, 51, 2*w + 17]', '[52, 26, 2*w + 12]', '[52, 52, w + 19]', '[52, 52, w + 32]', '[54, 18, 3*w + 3]', '[54, 18, 3*w + 12]', '[56, 28, -6*w - 46]', '[56, 28, -6*w + 52]', '[56, 56, -w - 3]', '[56, 56, -w + 4]', '[57, 57, w + 13]', '[57, 57, w + 43]', '[62, 62, -w - 2]', '[62, 62, 3*w + 22]', '[62, 62, -3*w + 25]', '[62, 62, w - 3]', '[63, 21, 3*w + 9]', '[64, 8, 8]', '[64, 16, 4*w + 32]', '[64, 16, -4*w + 36]', '[64, 32, -10*w + 88]', '[64, 32, 10*w + 78]', '[64, 64, w + 11]', '[64, 64, -w + 12]', '[66, 66, w + 1]', '[66, 66, 5*w - 43]', '[66, 66, 5*w + 38]', '[66, 66, w - 2]', '[68, 34, -4*w + 34]', '[68, 34, -4*w - 30]', '[68, 68, -w]', '[68, 68, -11*w + 96]', '[68, 68, -11*w - 85]', '[68, 68, -w + 1]', '[71, 71, w + 14]', '[71, 71, w + 56]', '[72, 12, 6*w]', '[72, 12, 6*w + 6]', '[72, 24, 3*w + 9]', '[72, 24, 3*w + 12]', '[73, 73, w + 22]', '[73, 73, w + 50]', '[75, 15, 20*w - 175]', '[76, 38, 2*w + 10]', '[76, 38, 2*w + 26]', '[76, 76, w + 24]', '[76, 76, w + 32]', '[76, 76, w + 43]', '[76, 76, w + 51]', '[77, 77, 2*w - 15]', '[77, 77, 2*w + 13]', '[78, 78, -7*w - 55]', '[78, 78, 7*w - 62]', '[79, 79, 30*w - 263]', '[79, 79, -14*w + 123]', '[81, 9, 9]', '[84, 42, 2*w + 20]', '[84, 84, w + 31]', '[84, 84, w + 52]', '[86, 86, w + 15]', '[86, 86, w + 27]', '[86, 86, w + 58]', '[86, 86, w + 70]', '[88, 44, 18*w - 158]', '[88, 44, -2*w - 18]', '[88, 44, 2*w - 20]', '[88, 44, -18*w - 140]', '[88, 88, -w - 12]', '[88, 88, 3*w - 28]', '[88, 88, -3*w - 25]', '[88, 88, w - 13]', '[91, 91, 22*w - 193]', '[93, 93, w + 28]', '[93, 93, w + 64]', '[96, 24, 4*w + 4]', '[96, 24, 4*w + 16]', '[96, 48, 2*w + 8]', '[96, 48, 2*w + 38]', '[96, 96, w + 43]', '[96, 96, w + 52]', '[97, 97, w + 25]', '[97, 97, w + 71]', '[98, 14, 7*w]', '[98, 14, 7*w + 7]', '[99, 33, 3*w + 3]', '[99, 33, 3*w + 27]', '[100, 10, 10]', '[100, 20, -5*w - 40]', '[100, 20, 5*w - 45]', '[101, 101, -54*w + 473]', '[101, 101, 10*w - 87]', '[102, 102, w + 16]', '[102, 102, w + 34]', '[102, 102, w + 67]', '[102, 102, w + 85]', '[104, 52, 2*w + 12]', '[104, 52, 2*w - 14]', '[104, 104, 15*w - 131]', '[104, 104, 15*w + 116]', '[108, 18, -24*w + 210]', '[108, 36, -3*w + 24]', '[108, 36, -3*w - 21]', '[112, 28, 4*w + 12]', '[112, 56, 2*w + 6]', '[112, 56, 2*w + 48]', '[112, 112, w + 52]', '[112, 112, w + 59]', '[114, 114, -w - 13]', '[114, 114, -11*w + 97]', '[114, 114, 55*w - 482]', '[114, 114, -w + 14]', '[117, 39, 3*w + 18]', '[119, 119, w + 17]', '[119, 119, w + 101]', '[121, 11, 11]', '[121, 121, 8*w + 63]', '[121, 121, -8*w + 71]', '[124, 62, 2*w + 4]', '[124, 62, 2*w + 56]', '[124, 124, w + 28]', '[124, 124, w + 59]', '[124, 124, w + 64]', '[124, 124, w + 95]', '[126, 42, -9*w - 69]', '[126, 42, -9*w + 78]', '[127, 127, -2*w + 21]', '[127, 127, -2*w - 19]', '[128, 16, 8*w]', '[128, 16, 8*w + 8]', '[128, 32, 4*w + 12]', '[128, 32, 4*w + 16]', '[128, 64, 2*w + 22]', '[128, 64, 2*w + 40]', '[128, 128, w + 52]', '[128, 128, w + 75]', '[129, 129, -2*w + 13]', '[129, 129, 2*w + 11]', '[131, 131, 4*w + 29]', '[131, 131, -4*w + 33]', '[132, 66, 2*w + 2]', '[132, 66, 2*w + 62]', '[132, 132, w + 31]', '[132, 132, w + 64]', '[132, 132, w + 67]', '[132, 132, w + 100]', '[133, 133, -4*w + 37]', '[133, 133, -4*w - 33]', '[136, 68, 2*w]', '[136, 68, 2*w + 32]', '[136, 68, 2*w + 34]', '[136, 68, 2*w + 66]', '[136, 136, w + 51]', '[136, 136, w + 67]', '[136, 136, w + 68]', '[136, 136, w + 84]', '[137, 137, w + 18]', '[137, 137, w + 118]', '[142, 142, -w - 14]', '[142, 142, -3*w - 26]', '[142, 142, 3*w - 29]', '[142, 142, w - 15]', '[143, 143, -8*w + 69]', '[143, 143, -8*w - 61]', '[144, 12, 12]', '[144, 24, 6*w + 48]', '[144, 24, -6*w + 54]', '[144, 48, -15*w + 132]', '[144, 48, 15*w + 117]', '[146, 146, 19*w - 166]', '[146, 146, 5*w - 42]', '[146, 146, 5*w + 37]', '[146, 146, 41*w - 359]', '[147, 21, -28*w + 245]', '[149, 149, w + 35]', '[149, 149, w + 113]', '[150, 30, 5*w + 5]', '[150, 30, 5*w + 20]', '[152, 76, -2*w - 10]', '[152, 76, 14*w - 122]', '[152, 76, -14*w - 108]', '[152, 76, 2*w - 12]', '[152, 152, -3*w + 23]', '[152, 152, 7*w + 53]', '[152, 152, -7*w + 60]', '[152, 152, 3*w + 20]', '[153, 51, -6*w + 51]', '[153, 51, -6*w - 45]', '[154, 154, w + 31]', '[154, 154, w + 45]', '[154, 154, w + 108]', '[154, 154, w + 122]', '[156, 78, 2*w + 38]', '[156, 156, w + 19]', '[156, 156, w + 136]', '[158, 158, w + 36]', '[158, 158, w + 42]', '[158, 158, w + 115]', '[158, 158, w + 121]', '[162, 18, 9*w]', '[162, 18, 9*w + 9]', '[168, 84, 2*w + 20]', '[168, 84, -2*w + 22]', '[168, 168, 19*w + 148]', '[168, 168, -19*w + 167]', '[169, 13, 13]', '[171, 57, 3*w + 15]', '[171, 57, 3*w + 39]', '[172, 86, -76*w + 666]', '[172, 86, 12*w - 106]', '[172, 172, w + 15]', '[172, 172, -9*w - 71]', '[172, 172, -9*w + 80]', '[172, 172, w - 16]', '[173, 173, 2*w - 11]', '[173, 173, -2*w - 9]', '[175, 35, 5*w + 15]', '[176, 44, 4*w + 4]', '[176, 44, 4*w + 36]', '[176, 88, 2*w + 24]', '[176, 88, 2*w + 40]', '[176, 88, 2*w + 46]', '[176, 88, 2*w + 62]', '[176, 176, w + 20]', '[176, 176, w + 75]', '[176, 176, w + 100]', '[176, 176, w + 155]', '[182, 182, w + 45]', '[182, 182, w + 136]', '[186, 186, 5*w - 46]', '[186, 186, -23*w + 202]', '[186, 186, 43*w - 377]', '[186, 186, 5*w + 41]', '[187, 187, w + 34]', '[187, 187, w + 67]', '[187, 187, w + 119]', '[187, 187, w + 152]', '[189, 63, 3*w + 30]', '[192, 24, -32*w + 280]', '[192, 48, -4*w + 32]', '[192, 48, -4*w - 28]', '[192, 96, -2*w - 8]', '[192, 96, -2*w + 10]', '[192, 192, -13*w - 100]', '[192, 192, -13*w + 113]', '[194, 194, 23*w - 201]', '[194, 194, -3*w - 19]', '[194, 194, 3*w - 22]', '[194, 194, -23*w - 178]', '[196, 14, 14]', '[196, 28, 7*w + 56]', '[196, 28, -7*w + 63]', '[197, 197, w + 21]', '[197, 197, w + 175]', '[198, 66, 27*w - 237]', '[198, 66, -3*w - 27]', '[198, 66, 3*w - 30]', '[198, 66, -27*w - 210]', '[200, 20, 10*w]', '[200, 20, 10*w + 10]', '[200, 40, 5*w + 15]', '[200, 40, 5*w + 20]', '[202, 202, w + 38]', '[202, 202, w + 62]', '[202, 202, w + 139]', '[202, 202, w + 163]', '[204, 102, -4*w + 38]', '[204, 102, 4*w + 34]', '[204, 204, w + 16]', '[204, 204, 31*w + 241]', '[204, 204, -31*w + 272]', '[204, 204, -w + 17]', '[208, 52, 4*w + 24]', '[208, 104, 2*w + 38]', '[208, 104, 2*w + 64]', '[208, 208, w + 84]', '[208, 208, w + 123]', '[209, 209, -62*w + 543]', '[209, 209, 2*w - 9]', '[209, 209, -2*w - 7]', '[209, 209, 62*w + 481]', '[211, 211, 2*w - 23]', '[211, 211, -2*w - 21]', '[213, 213, w + 85]', '[213, 213, w + 127]', '[216, 36, 6*w + 6]', '[216, 36, 6*w + 24]', '[216, 72, 3*w + 12]', '[216, 72, 3*w + 57]', '[217, 217, 16*w - 141]', '[217, 217, 16*w + 125]', '[219, 219, w + 22]', '[219, 219, w + 196]', '[221, 221, w + 84]', '[221, 221, w + 136]', '[223, 223, w + 37]', '[223, 223, w + 185]', '[224, 56, -12*w - 92]', '[224, 56, -12*w + 104]', '[224, 112, -2*w - 6]', '[224, 112, -2*w + 8]', '[224, 224, -5*w - 36]', '[224, 224, -5*w + 41]', '[225, 15, -15]', '[228, 114, 2*w + 26]', '[228, 114, 2*w + 86]', '[228, 228, w + 43]', '[228, 228, w + 100]', '[228, 228, w + 127]', '[228, 228, w + 184]', '[229, 229, w + 80]', '[229, 229, w + 148]', '[231, 231, -10*w - 79]', '[231, 231, 10*w - 89]', '[234, 78, 3*w + 18]', '[234, 78, 3*w - 21]', '[237, 237, 2*w - 7]', '[237, 237, -2*w - 5]', '[238, 238, w + 17]', '[238, 238, -13*w + 115]', '[238, 238, 13*w + 102]', '[238, 238, -w + 18]', '[239, 239, w + 44]', '[239, 239, w + 194]', '[241, 241, w + 76]', '[241, 241, w + 164]', '[242, 22, 11*w]', '[242, 22, 11*w + 11]', '[242, 242, w + 23]', '[242, 242, w + 97]', '[242, 242, w + 144]', '[242, 242, w + 218]', '[243, 27, -36*w + 315]', '[247, 247, -6*w + 55]', '[247, 247, -6*w - 49]', '[248, 124, -2*w - 4]', '[248, 124, 6*w + 44]', '[248, 124, -6*w + 50]', '[248, 124, 2*w - 6]', '[248, 248, 27*w - 236]', '[248, 248, 11*w - 95]', '[248, 248, -11*w - 84]', '[248, 248, -27*w - 209]', '[251, 251, 4*w - 31]', '[251, 251, 4*w + 27]', '[252, 42, 6*w + 18]', '[252, 84, 3*w + 9]', '[252, 84, 3*w + 72]', '[254, 254, w + 53]', '[254, 254, w + 73]', '[254, 254, w + 180]', '[254, 254, w + 200]', '[256, 16, 16]', '[256, 32, 8*w + 64]', '[256, 32, -8*w + 72]', '[256, 64, -20*w + 176]', '[256, 64, 20*w + 156]', '[256, 128, 2*w + 22]', '[256, 128, -2*w + 24]', '[256, 256, -3*w + 31]', '[256, 256, 3*w + 28]', '[257, 257, 2*w - 5]', '[257, 257, -2*w - 3]', '[258, 258, w + 58]', '[258, 258, w + 70]', '[258, 258, w + 187]', '[258, 258, w + 199]', '[262, 262, w + 40]', '[262, 262, w + 90]', '[262, 262, w + 171]', '[262, 262, w + 221]', '[264, 132, 2*w + 2]', '[264, 132, 10*w - 86]', '[264, 132, 10*w + 76]', '[264, 132, 2*w - 4]', '[264, 264, 7*w - 59]', '[264, 264, 17*w - 148]', '[264, 264, 17*w + 131]', '[264, 264, 7*w + 52]', '[266, 266, w + 24]', '[266, 266, w + 108]', '[266, 266, w + 157]', '[266, 266, w + 241]', '[269, 269, 2*w - 3]', '[269, 269, -2*w - 1]', '[271, 271, w + 87]', '[271, 271, w + 183]', '[272, 68, -8*w + 68]', '[272, 68, -8*w - 60]', '[272, 136, -2*w]', '[272, 136, -22*w + 192]', '[272, 136, -22*w - 170]', '[272, 136, -2*w + 2]', '[272, 272, -9*w - 68]', '[272, 272, -3*w + 20]', '[272, 272, -3*w - 17]', '[272, 272, -9*w + 77]', '[273, 273, 2*w - 1]', '[274, 274, -w - 18]', '[274, 274, -5*w - 42]', '[274, 274, 5*w - 47]', '[274, 274, w - 19]', '[275, 55, 5*w + 5]', '[275, 55, 5*w + 45]', '[277, 277, -4*w - 35]', '[277, 277, -4*w + 39]', '[279, 93, 3*w + 6]', '[279, 93, 3*w + 84]', '[281, 281, w + 111]', '[281, 281, w + 169]', '[284, 142, 2*w + 28]', '[284, 142, 2*w + 112]', '[284, 284, w + 56]', '[284, 284, w + 127]', '[284, 284, w + 156]', '[284, 284, w + 227]', '[286, 286, w + 45]', '[286, 286, w + 97]', '[286, 286, w + 188]', '[286, 286, w + 240]', '[288, 24, 12*w]', '[288, 24, 12*w + 12]', '[288, 48, 6*w + 18]', '[288, 48, 6*w + 24]', '[288, 96, 3*w + 33]', '[288, 96, 3*w + 60]', '[289, 17, 17]', '[289, 289, 24*w + 187]', '[289, 289, -24*w + 211]', '[291, 291, w + 25]', '[291, 291, w + 265]', '[292, 146, 2*w + 44]', '[292, 146, 2*w + 100]', '[292, 292, w + 95]', '[292, 292, w + 123]', '[292, 292, w + 168]', '[292, 292, w + 196]', '[294, 42, 7*w + 7]', '[294, 42, 7*w + 28]', '[297, 99, 3*w + 3]', '[297, 99, 3*w + 93]', '[298, 298, -11*w - 87]', '[298, 298, 17*w + 133]', '[298, 298, 17*w - 150]', '[298, 298, -11*w + 98]', '[300, 30, 40*w - 350]', '[300, 60, 5*w - 40]', '[300, 60, 5*w + 35]', '[301, 301, w + 101]', '[301, 301, w + 199]', '[303, 303, -2*w + 25]', '[303, 303, -2*w - 23]', '[304, 76, 4*w + 20]', '[304, 76, 4*w + 52]', '[304, 152, 2*w + 48]', '[304, 152, 2*w + 64]', '[304, 152, 2*w + 86]', '[304, 152, 2*w + 102]', '[304, 304, w + 43]', '[304, 304, w + 100]', '[304, 304, w + 203]', '[304, 304, w + 260]', '[306, 102, 3*w]', '[306, 102, 3*w + 48]', '[306, 102, 3*w + 51]', '[306, 102, 3*w + 99]', '[307, 307, w + 102]', '[307, 307, w + 204]', '[308, 154, 4*w - 30]', '[308, 154, 4*w + 26]', '[308, 308, 31*w - 271]', '[308, 308, 3*w + 16]', '[308, 308, 3*w - 19]', '[308, 308, 31*w + 240]', '[311, 311, -16*w - 123]', '[311, 311, 16*w - 139]', '[312, 156, -14*w - 110]', '[312, 156, 14*w - 124]', '[312, 312, -w - 19]', '[312, 312, w - 20]', '[316, 158, 60*w - 526]', '[316, 158, -28*w + 246]', '[316, 316, 7*w - 64]', '[316, 316, -3*w - 29]', '[316, 316, -3*w + 32]', '[316, 316, 7*w + 57]', '[317, 317, w + 26]', '[317, 317, w + 290]', '[323, 323, w + 51]', '[323, 323, w + 119]', '[323, 323, w + 203]', '[323, 323, w + 271]', '[324, 18, 18]', '[324, 36, 9*w + 72]', '[324, 36, -9*w + 81]', '[325, 65, 5*w + 30]', '[336, 84, 4*w + 40]', '[336, 168, 2*w + 62]', '[336, 168, 2*w + 104]', '[336, 336, w + 52]', '[336, 336, w + 283]', '[337, 337, -32*w + 281]', '[337, 337, 56*w - 491]', '[338, 26, 13*w]', '[338, 26, 13*w + 13]', '[341, 341, 6*w + 43]', '[341, 341, -26*w - 201]', '[341, 341, 26*w - 227]', '[341, 341, -6*w + 49]', '[342, 114, -3*w - 15]', '[342, 114, 21*w - 183]', '[342, 114, -21*w - 162]', '[342, 114, 3*w - 18]', '[343, 49, 7*w + 21]', '[344, 172, 2*w + 30]', '[344, 172, 2*w + 54]', '[344, 172, 2*w + 116]', '[344, 172, 2*w + 140]', '[344, 344, w + 27]', '[344, 344, w + 156]', '[344, 344, w + 187]', '[344, 344, w + 316]', '[346, 346, w + 81]', '[346, 346, w + 91]', '[346, 346, w + 254]', '[346, 346, w + 264]', '[349, 349, w + 46]', '[349, 349, w + 302]', '[350, 70, 15*w + 115]', '[350, 70, 15*w - 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181]', '[1941, 1941, 20*w + 161]', '[1942, 1942, w + 245]', '[1942, 1942, w + 725]', '[1942, 1942, w + 1216]', '[1942, 1942, w + 1696]', '[1944, 108, 18*w + 18]', '[1944, 108, 18*w + 72]', '[1944, 216, 9*w + 36]', '[1944, 216, 9*w + 171]', '[1949, 1949, -18*w + 151]', '[1949, 1949, 18*w + 133]', '[1950, 390, 35*w + 275]', '[1950, 390, -35*w + 310]', '[1953, 651, 48*w - 423]', '[1953, 651, 48*w + 375]', '[1954, 1954, 9*w - 91]', '[1954, 1954, 5*w - 63]', '[1954, 1954, -5*w - 58]', '[1954, 1954, -9*w - 82]', '[1967, 1967, -8*w + 53]', '[1967, 1967, 8*w + 45]', '[1971, 657, 3*w + 66]', '[1971, 657, 3*w + 588]', '[1973, 1973, -6*w - 19]', '[1973, 1973, 6*w - 25]', '[1975, 395, 150*w - 1315]', '[1975, 395, -70*w + 615]', '[1976, 988, 2*w + 64]', '[1976, 988, 2*w + 428]', '[1976, 988, 2*w + 558]', '[1976, 988, 2*w + 922]', '[1976, 1976, w + 708]', '[1976, 1976, w + 955]', '[1976, 1976, w + 1020]', '[1976, 1976, w + 1267]', '[1979, 1979, -28*w - 213]', '[1979, 1979, 28*w - 241]', '[1982, 1982, w + 63]', '[1982, 1982, w + 927]', '[1982, 1982, w + 1054]', '[1982, 1982, w + 1918]', '[1983, 1983, w + 295]', '[1983, 1983, w + 1687]', '[1984, 248, 8*w + 16]', '[1984, 248, 8*w + 224]', '[1984, 496, 4*w + 112]', '[1984, 496, 4*w + 236]', '[1984, 496, 4*w + 256]', '[1984, 496, 4*w + 380]', '[1984, 992, 2*w + 118]', '[1984, 992, 2*w + 438]', '[1984, 992, 2*w + 552]', '[1984, 992, 2*w + 872]', '[1984, 1984, w + 436]', '[1984, 1984, w + 715]', '[1984, 1984, w + 1268]', '[1984, 1984, w + 1547]', '[1987, 1987, w + 109]', '[1987, 1987, w + 1877]', '[1988, 994, 68*w + 526]', '[1988, 994, 68*w - 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213]', '[9954, 3318, -15*w + 81]', '[9954, 3318, 15*w + 66]', '[9954, 3318, -27*w - 186]', '[9956, 4978, 2*w + 1128]', '[9956, 4978, 2*w + 2176]', '[9956, 4978, 2*w + 2800]', '[9956, 4978, 2*w + 3848]', '[9956, 9956, w + 564]', '[9956, 9956, w + 1088]', '[9956, 9956, w + 1400]', '[9956, 9956, w + 1924]', '[9956, 9956, w + 8031]', '[9956, 9956, w + 8555]', '[9956, 9956, w + 8867]', '[9956, 9956, w + 9391]', '[9957, 9957, 502*w - 4397]', '[9957, 9957, 106*w - 923]', '[9972, 1662, -24*w - 210]', '[9972, 1662, -24*w + 234]', '[9972, 3324, 9*w - 129]', '[9972, 3324, -213*w + 1869]', '[9972, 3324, 249*w - 2184]', '[9972, 3324, 9*w + 120]', '[9973, 9973, w + 528]', '[9973, 9973, w + 9444]', '[9974, 9974, -13*w - 33]', '[9974, 9974, 75*w - 649]', '[9974, 9974, -75*w - 574]', '[9974, 9974, 13*w - 46]', '[9975, 1995, -40*w - 295]', '[9975, 1995, 40*w - 335]', '[9977, 9977, w + 141]', '[9977, 9977, w + 4676]', '[9977, 9977, w + 5300]', '[9977, 9977, w + 9835]', '[9978, 9978, w + 853]', '[9978, 9978, w + 4135]', '[9978, 9978, w + 5842]', '[9978, 9978, w + 9124]', '[9981, 3327, 306*w - 2679]', '[9981, 3327, 174*w - 1521]', '[9984, 624, 16*w + 304]', '[9984, 1248, 8*w + 152]', '[9984, 1248, 8*w + 1088]', '[9984, 2496, 4*w + 1168]', '[9984, 2496, 4*w + 1324]', '[9984, 4992, 2*w + 662]', '[9984, 4992, 2*w + 4328]', '[9984, 9984, w + 331]', '[9984, 9984, w + 9652]', '[9986, 9986, w + 754]', '[9986, 9986, w + 4238]', '[9986, 9986, w + 5747]', '[9986, 9986, w + 9231]', '[9989, 9989, w + 3377]', '[9989, 9989, w + 6611]', '[9996, 714, -28*w + 266]', '[9996, 714, 28*w + 238]', '[9996, 1428, 7*w + 112]', '[9996, 1428, 217*w + 1687]', '[9996, 1428, -217*w + 1904]', '[9996, 1428, -7*w + 119]', '[9997, 9997, -44*w + 399]', '[9997, 9997, -44*w - 355]', '[9999, 3333, 3*w + 489]', '[9999, 3333, 3*w + 720]', '[9999, 3333, 3*w + 2610]', '[9999, 3333, 3*w + 2841]', '[10000, 100, 100]', '[10000, 200, -50*w - 400]', '[10000, 200, 50*w - 450]', '[10000, 400, 125*w - 1100]', '[10000, 400, -125*w - 975]'], 'label': '2.2.273.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[3, 3, -4*w + 35]', '[7, 7, w + 3]', '[11, 11, w + 1]', '[11, 11, w + 9]', '[13, 13, w + 6]', '[17, 17, -2*w + 17]', '[17, 17, -2*w - 15]', '[19, 19, w + 5]', '[19, 19, w + 13]', '[25, 5, -5]', '[31, 31, w + 2]', '[31, 31, w + 28]', '[43, 43, -38*w + 333]', '[43, 43, 6*w - 53]', '[71, 71, w + 14]', '[71, 71, w + 56]', '[73, 73, w + 22]', '[73, 73, w + 50]', '[79, 79, 30*w - 263]', '[79, 79, -14*w + 123]', '[97, 97, w + 25]', '[97, 97, w + 71]', '[101, 101, -54*w + 473]', '[101, 101, 10*w - 87]', '[127, 127, -2*w + 21]', '[127, 127, -2*w - 19]', '[131, 131, 4*w + 29]', '[131, 131, -4*w + 33]', '[137, 137, w + 18]', '[137, 137, w + 118]', '[149, 149, w + 35]', '[149, 149, w + 113]', '[173, 173, 2*w - 11]', '[173, 173, -2*w - 9]', '[197, 197, w + 21]', '[197, 197, w + 175]', '[211, 211, 2*w - 23]', '[211, 211, -2*w - 21]', '[223, 223, w + 37]', '[223, 223, w + 185]', '[229, 229, w + 80]', '[229, 229, w + 148]', '[239, 239, w + 44]', '[239, 239, w + 194]', '[241, 241, w + 76]', '[241, 241, w + 164]', '[251, 251, 4*w - 31]', '[251, 251, 4*w + 27]', '[257, 257, 2*w - 5]', '[257, 257, -2*w - 3]', '[269, 269, 2*w - 3]', '[269, 269, -2*w - 1]', '[271, 271, w + 87]', '[271, 271, w + 183]', '[277, 277, -4*w - 35]', '[277, 277, -4*w + 39]', '[281, 281, w + 111]', '[281, 281, w + 169]', '[307, 307, w + 102]', '[307, 307, w + 204]', '[311, 311, -16*w - 123]', '[311, 311, 16*w - 139]', '[317, 317, w + 26]', '[317, 317, w + 290]', '[337, 337, -32*w + 281]', '[337, 337, 56*w - 491]', '[349, 349, w + 46]', '[349, 349, w + 302]', '[359, 359, w + 107]', '[359, 359, w + 251]', '[373, 373, 12*w + 95]', '[373, 373, 12*w - 107]', '[397, 397, w + 49]', '[397, 397, w + 347]', '[401, 401, w + 29]', '[401, 401, w + 371]', '[409, 409, w + 176]', '[409, 409, w + 232]', '[419, 419, 12*w - 103]', '[419, 419, -12*w - 91]', '[431, 431, w + 30]', '[431, 431, w + 400]', '[449, 449, w + 60]', '[449, 449, w + 388]', '[467, 467, 4*w - 27]', '[467, 467, -4*w - 23]', '[503, 503, 24*w - 209]', '[503, 503, -112*w + 981]', '[521, 521, 6*w - 47]', '[521, 521, -6*w - 41]', '[529, 23, -23]', '[547, 547, -14*w - 111]', '[547, 547, 14*w - 125]', '[557, 557, w + 238]', '[557, 557, w + 318]', '[563, 563, -4*w - 21]', '[563, 563, 4*w - 25]', '[571, 571, 10*w - 91]', '[571, 571, -10*w - 81]', '[577, 577, w + 235]', '[577, 577, w + 341]', '[617, 617, w + 230]', '[617, 617, w + 386]', '[619, 619, w + 61]', '[619, 619, w + 557]', '[643, 643, w + 124]', '[643, 643, w + 518]', '[647, 647, 8*w + 57]', '[647, 647, -8*w + 65]', '[661, 661, w + 295]', '[661, 661, w + 365]', '[673, 673, 8*w - 75]', '[673, 673, -8*w - 67]', '[677, 677, 86*w - 753]', '[677, 677, 42*w - 367]', '[683, 683, w + 242]', '[683, 683, w + 440]', '[691, 691, w + 153]', '[691, 691, w + 537]', '[719, 719, 120*w - 1051]', '[719, 719, 32*w - 279]', '[733, 733, w + 143]', '[733, 733, w + 589]', '[743, 743, w + 308]', '[743, 743, w + 434]', '[751, 751, 2*w - 33]', '[751, 751, -2*w - 31]', '[757, 757, 4*w - 45]', '[757, 757, -4*w - 41]', '[769, 769, w + 323]', '[769, 769, w + 445]', '[787, 787, w + 312]', '[787, 787, w + 474]', '[797, 797, -18*w - 137]', '[797, 797, 18*w - 155]', '[811, 811, w + 353]', '[811, 811, w + 457]', '[821, 821, w + 289]', '[821, 821, w + 531]', '[823, 823, 22*w - 195]', '[823, 823, -22*w - 173]', '[827, 827, w + 41]', '[827, 827, w + 785]', '[841, 29, -29]', '[853, 853, w + 170]', '[853, 853, w + 682]', '[857, 857, -6*w - 37]', '[857, 857, 6*w - 43]', '[863, 863, w + 83]', '[863, 863, w + 779]', '[881, 881, 94*w - 823]', '[881, 881, 50*w - 437]', '[883, 883, 2*w - 35]', '[883, 883, -2*w - 33]', '[887, 887, 8*w - 63]', '[887, 887, 8*w + 55]', '[907, 907, 6*w - 61]', '[907, 907, -6*w - 55]', '[919, 919, -10*w - 83]', '[919, 919, 10*w - 93]', '[947, 947, w + 285]', '[947, 947, w + 661]', '[971, 971, -4*w - 9]', '[971, 971, 4*w - 13]', '[977, 977, w + 207]', '[977, 977, w + 769]', '[991, 991, -18*w - 143]', '[991, 991, 18*w - 161]']}
• 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': [-68, -1, 1], 'conductor': 273, 'degree': 2, 'dirichlet_group': [1, 272], 'disc_abs': 273, 'disc_rad': 273, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[2, 1]]], [7, [0]], [11, [[1, 2]]], [13, [0]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 16.522711641858304, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.273.1', 'local_algs': ['3.1.2.1a1.2', '7.1.2.1a1.2', '13.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [3, 7, 13], 'rd': 16.5227116419, 'regulator': {'__RealLiteral__': 0, 'data': '7.28207318508', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 88 a + 683 \\)'], 'used_grh': False, 'zk': ['1', 'a']}