Hilbert modular form data - 2.2.232.1-9.3-d

Formats: - HTML - YAML - JSON - 2024-05-02T00:52:40.338359

• 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': 2, 'disc': 232, 'field_bad_primes': [2, 29], 'field_label': '2.2.232.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.232.1-9.3-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [3], 'level_ideal': '[9,9,w + 7]', 'level_label': '9.3', 'level_norm': 9, 'parallel_weight': 2, 'short_label': '9.3-d', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3,3,-w + 2]', -1]], 'hecke_eigenvalues': ['e', 0, 'e', -2, -2, '-e', '-e', 0, 0, -6, 6, 1, '-4*e', 0, 0, '-3*e', '3*e', '-6*e', '6*e', 0, 0, '8*e', '8*e', -4, -4, '-4*e', '-4*e', 10, 10, '-6*e', '6*e', '9*e', '-9*e', 12, -12, -25, 14, 14, '-3*e', '3*e', 16, 16, '6*e', '-6*e', 9, -9, -6, 6, -25, -25, '7*e', '7*e', -3, 3, '2*e', '2*e', 3, -3, -14, '-4*e', '-4*e', '-9*e', '9*e', 29, 29, '-10*e', '-10*e', '15*e', '-15*e', 6, -6, 0, 0, -6, 6, '-8*e', '-8*e', -15, 15, '6*e', '-6*e', 18, -18, -34, -34, '-8*e', '-8*e', -2, -2, '4*e', '4*e', -26, -26, 'e', 'e', 2, 2, '11*e', '11*e', 27, -27, 0, 0, '-5*e', '-5*e', -9, 9, '15*e', '-15*e', 32, 32, -18, 18, '22*e', '22*e', '-17*e', '-17*e', -11, -11, '-8*e', '-8*e', -36, 36, '-12*e', '12*e', '9*e', '-9*e', '18*e', '-18*e', -30, 30, '-10*e', '-10*e', '2*e', '2*e', '17*e', '17*e', '18*e', '-18*e', '-12*e', '12*e', -57, 57, '21*e', '-21*e', 36, -36, '24*e', '-24*e', -4, -4, 30, -30, -22, -22, '-e', '-e', -9, 9, 17, '8*e', '8*e', -33, 33, -40, -40, '12*e', '-12*e'], 'hecke_polynomial': 'x^2 - 5', 'label': '2.2.232.1-9.3-d'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 232, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[4, 2, 2]', '[6, 6, -w - 8]', '[6, 6, -w + 8]', '[7, 7, -2*w + 15]', '[7, 7, -2*w - 15]', '[8, 4, 2*w]', '[9, 3, 3]', '[9, 9, -w + 7]', '[9, 9, -w - 7]', '[11, 11, w + 5]', '[11, 11, w + 6]', '[12, 6, 2*w + 2]', '[12, 6, 2*w + 4]', '[14, 14, w + 4]', '[14, 14, w + 10]', '[16, 4, 4]', '[18, 6, 3*w]', '[18, 18, w + 2]', '[18, 18, w + 16]', '[19, 19, w + 1]', '[19, 19, w + 18]', '[21, 21, w + 4]', '[21, 21, w + 10]', '[21, 21, w + 11]', '[21, 21, w + 17]', '[22, 22, -w - 6]', '[22, 22, w - 6]', '[23, 23, w + 9]', '[23, 23, -w + 9]', '[24, 12, -2*w - 16]', '[24, 12, -2*w + 16]', '[25, 5, 5]', '[27, 9, 3*w + 3]', '[27, 9, 3*w + 6]', '[27, 27, w + 2]', '[27, 27, w + 25]', '[28, 14, -4*w + 30]', '[28, 14, -4*w - 30]', '[29, 29, w]', '[32, 8, 4*w]', '[33, 33, -w - 5]', '[33, 33, -4*w - 31]', '[33, 33, 4*w - 31]', '[33, 33, -w + 5]', '[36, 6, 6]', '[36, 18, -2*w + 14]', '[36, 18, -2*w - 14]', '[37, 37, w + 13]', '[37, 37, w + 24]', '[38, 38, -3*w + 22]', '[38, 38, 3*w + 22]', '[42, 42, -w - 4]', '[42, 42, w + 10]', '[42, 42, w - 10]', '[42, 42, w - 4]', '[43, 43, w + 12]', '[43, 43, w + 31]', '[44, 22, 2*w + 10]', '[44, 22, 2*w + 12]', '[46, 46, w + 14]', '[46, 46, w + 32]', '[48, 12, 4*w + 4]', '[48, 12, 4*w + 8]', '[49, 7, 7]', '[49, 49, -w - 3]', '[49, 49, -w + 3]', '[50, 10, 5*w]', '[54, 18, 3*w + 24]', '[54, 18, 3*w - 24]', '[54, 54, w + 2]', '[54, 54, -w + 2]', '[56, 28, 2*w + 8]', '[56, 28, 2*w + 20]', '[57, 57, w + 1]', '[57, 57, -2*w + 17]', '[57, 57, 2*w + 17]', '[57, 57, w - 1]', '[58, 58, -w]', '[61, 61, w + 27]', '[61, 61, w + 34]', '[63, 21, 6*w - 45]', '[63, 21, 6*w + 45]', '[63, 63, w + 11]', '[63, 63, -2*w + 13]', '[63, 63, -2*w - 13]', '[63, 63, -w + 11]', '[64, 8, 8]', '[66, 66, w + 16]', '[66, 66, w + 28]', '[66, 66, w + 38]', '[66, 66, w + 50]', '[69, 69, w + 14]', '[69, 69, w + 32]', '[69, 69, w + 37]', '[69, 69, w + 55]', '[71, 71, 12*w - 91]', '[71, 71, 12*w + 91]', '[72, 12, 6*w]', '[72, 36, 2*w + 4]', '[72, 36, 2*w + 32]', '[74, 74, -7*w + 54]', '[74, 74, -7*w - 54]', '[75, 15, 5*w + 5]', '[75, 15, 5*w + 10]', '[76, 38, 2*w + 2]', '[76, 38, 2*w + 36]', '[77, 77, w + 17]', '[77, 77, w + 38]', '[77, 77, w + 39]', '[77, 77, w + 60]', '[81, 9, 9]', '[81, 27, 3*w - 21]', '[81, 27, 3*w + 21]', '[81, 81, -5*w + 37]', '[81, 81, -5*w - 37]', '[84, 42, 2*w + 8]', '[84, 42, 2*w + 20]', '[84, 42, 2*w + 22]', '[84, 42, 2*w + 34]', '[86, 86, -w - 12]', '[86, 86, w - 12]', '[87, 87, 4*w + 29]', '[87, 87, -4*w + 29]', '[88, 44, -2*w - 12]', '[88, 44, 2*w - 12]', '[92, 46, 2*w + 18]', '[92, 46, -2*w + 18]', '[96, 24, -4*w - 32]', '[96, 24, -4*w + 32]', '[98, 14, 7*w]', '[98, 98, w + 46]', '[98, 98, w + 52]', '[99, 33, 3*w + 15]', '[99, 33, 3*w + 18]', '[99, 99, w + 16]', '[99, 99, w + 38]', '[99, 99, w + 61]', '[99, 99, w + 83]', '[100, 10, 10]', '[101, 101, w + 19]', '[101, 101, w + 82]', '[103, 103, -3*w + 25]', '[103, 103, -3*w - 25]', '[108, 18, 6*w + 6]', '[108, 18, 6*w + 12]', '[108, 54, 2*w + 4]', '[108, 54, 2*w + 50]', '[111, 111, -w - 13]', '[111, 111, -2*w + 11]', '[111, 111, -2*w - 11]', '[111, 111, w - 13]', '[112, 28, -8*w + 60]', '[112, 28, -8*w - 60]', '[114, 114, w + 20]', '[114, 114, w + 56]', '[114, 114, w + 58]', '[114, 114, w + 94]', '[116, 58, 2*w]', '[121, 11, 11]', '[121, 121, 6*w + 47]', '[121, 121, -6*w + 47]', '[122, 122, 3*w - 20]', '[122, 122, 3*w + 20]', '[126, 42, 3*w + 12]', '[126, 42, 3*w + 30]', '[126, 126, w + 38]', '[126, 126, w + 52]', '[126, 126, w + 74]', '[126, 126, w + 88]', '[128, 16, 8*w]', '[129, 129, 10*w - 77]', '[129, 129, 2*w - 19]', '[129, 129, 2*w + 19]', '[129, 129, 10*w + 77]', '[131, 131, w + 53]', '[131, 131, w + 78]', '[132, 66, -2*w - 10]', '[132, 66, -8*w - 62]', '[132, 66, 8*w - 62]', '[132, 66, -2*w + 10]', '[133, 133, w + 18]', '[133, 133, w + 39]', '[133, 133, w + 94]', '[133, 133, w + 115]', '[138, 138, -w - 14]', '[138, 138, 7*w - 52]', '[138, 138, -7*w - 52]', '[138, 138, -w + 14]', '[142, 142, w + 22]', '[142, 142, w + 120]', '[144, 12, 12]', '[144, 36, -4*w + 28]', '[144, 36, -4*w - 28]', '[147, 21, 7*w + 7]', '[147, 21, 7*w + 14]', '[147, 147, w + 46]', '[147, 147, w + 52]', '[147, 147, w + 95]', '[147, 147, w + 101]', '[148, 74, 2*w + 26]', '[148, 74, 2*w + 48]', '[150, 30, -5*w - 40]', '[150, 30, -5*w + 40]', '[151, 151, 2*w - 9]', '[151, 151, -2*w - 9]', '[152, 76, -6*w + 44]', '[152, 76, 6*w + 44]', '[154, 154, 5*w + 36]', '[154, 154, -3*w - 26]', '[154, 154, -3*w + 26]', '[154, 154, -5*w + 36]', '[157, 157, w + 23]', '[157, 157, w + 134]', '[161, 161, -4*w + 33]', '[161, 161, -3*w - 19]', '[161, 161, -3*w + 19]', '[161, 161, 4*w + 33]', '[162, 18, 9*w]', '[162, 54, 3*w + 6]', '[162, 54, 3*w + 48]', '[162, 162, w + 56]', '[162, 162, w + 106]', '[163, 163, w + 59]', '[163, 163, w + 104]', '[167, 167, -w - 15]', '[167, 167, w - 15]', '[168, 84, -2*w - 8]', '[168, 84, 2*w + 20]', '[168, 84, 2*w - 20]', '[168, 84, 2*w - 8]', '[169, 13, -13]', '[171, 57, 3*w + 3]', '[171, 57, 3*w + 54]', '[171, 171, w + 20]', '[171, 171, w + 56]', '[171, 171, w + 115]', '[171, 171, w + 151]', '[172, 86, 2*w + 24]', '[172, 86, 2*w + 62]', '[174, 174, w + 58]', '[174, 174, w + 116]', '[175, 35, -10*w + 75]', '[175, 35, -10*w - 75]', '[176, 44, 4*w + 20]', '[176, 44, 4*w + 24]', '[183, 183, -7*w - 55]', '[183, 183, 2*w - 7]', '[183, 183, -2*w - 7]', '[183, 183, -7*w + 55]', '[184, 92, 2*w + 28]', '[184, 92, 2*w + 64]', '[189, 63, 3*w + 12]', '[189, 63, 3*w + 30]', '[189, 63, 3*w + 33]', '[189, 63, 3*w + 51]', '[189, 189, w + 25]', '[189, 189, w + 52]', '[189, 189, w + 137]', '[189, 189, w + 164]', '[192, 24, 8*w + 8]', '[192, 24, 8*w + 16]', '[196, 14, 14]', '[196, 98, -2*w - 6]', '[196, 98, -2*w + 6]', '[198, 66, 3*w + 18]', '[198, 66, -3*w + 18]', '[198, 198, -w - 16]', '[198, 198, 13*w + 98]', '[198, 198, -13*w + 98]', '[198, 198, -w + 16]', '[199, 199, -4*w + 27]', '[199, 199, -4*w - 27]', '[200, 20, 10*w]', '[202, 202, -9*w + 70]', '[202, 202, -9*w - 70]', '[203, 203, w + 87]', '[203, 203, w + 116]', '[206, 206, w + 26]', '[206, 206, w + 180]', '[207, 69, -3*w - 27]', '[207, 69, 3*w - 27]', '[207, 207, 11*w + 85]', '[207, 207, -2*w + 5]', '[207, 207, -2*w - 5]', '[207, 207, -11*w + 85]', '[209, 209, 9*w - 67]', '[209, 209, -2*w + 21]', '[209, 209, 2*w + 21]', '[209, 209, 9*w + 67]', '[211, 211, w + 67]', '[211, 211, w + 144]', '[213, 213, w + 22]', '[213, 213, w + 49]', '[213, 213, w + 164]', '[213, 213, w + 191]', '[216, 36, 6*w + 48]', '[216, 36, 6*w - 48]', '[216, 108, 2*w + 4]', '[216, 108, -2*w + 4]', '[222, 222, w + 50]', '[222, 222, w + 98]', '[222, 222, w + 124]', '[222, 222, w + 172]', '[223, 223, 2*w - 3]', '[223, 223, -2*w - 3]', '[224, 56, 4*w + 16]', '[224, 56, 4*w + 40]', '[225, 15, 15]', '[225, 45, -5*w + 35]', '[225, 45, -5*w - 35]', '[228, 114, 2*w + 2]', '[228, 114, -4*w + 34]', '[228, 114, 4*w + 34]', '[228, 114, 2*w - 2]', '[229, 229, w + 79]', '[229, 229, w + 150]', '[231, 231, -w - 17]', '[231, 231, -5*w + 41]', '[231, 231, -8*w - 59]', '[231, 231, 2*w - 1]', '[231, 231, 2*w + 1]', '[231, 231, -8*w + 59]', '[231, 231, 5*w + 41]', '[231, 231, w - 17]', '[232, 116, -2*w]', '[233, 233, 3*w - 17]', '[233, 233, -3*w - 17]', '[239, 239, 6*w + 43]', '[239, 239, 6*w - 43]', '[241, 241, -7*w + 51]', '[241, 241, -7*w - 51]', '[242, 22, 11*w]', '[242, 242, w + 28]', '[242, 242, w + 214]', '[243, 27, 9*w + 9]', '[243, 27, 9*w + 18]', '[243, 81, 3*w + 6]', '[243, 81, 3*w + 75]', '[243, 243, w + 106]', '[243, 243, w + 137]', '[244, 122, 2*w + 54]', '[244, 122, 2*w + 68]', '[251, 251, w + 73]', '[251, 251, w + 178]', '[252, 42, 12*w - 90]', '[252, 42, 12*w + 90]', '[252, 126, 2*w + 22]', '[252, 126, -4*w + 26]', '[252, 126, -4*w - 26]', '[252, 126, -2*w + 22]', '[253, 253, w + 60]', '[253, 253, w + 83]', '[253, 253, w + 170]', '[253, 253, w + 193]', '[256, 16, 16]', '[257, 257, -8*w - 63]', '[257, 257, -8*w + 63]', '[258, 258, w + 74]', '[258, 258, w + 98]', '[258, 258, w + 160]', '[258, 258, w + 184]', '[259, 259, w + 24]', '[259, 259, w + 87]', '[259, 259, w + 172]', '[259, 259, w + 235]', '[261, 87, 3*w]', '[261, 261, w + 29]', '[261, 261, w + 232]', '[262, 262, -3*w + 28]', '[262, 262, -3*w - 28]', '[264, 132, 2*w + 32]', '[264, 132, 2*w + 56]', '[264, 132, 2*w + 76]', '[264, 132, 2*w + 100]', '[266, 266, w + 18]', '[266, 266, -3*w - 16]', '[266, 266, 3*w - 16]', '[266, 266, w - 18]', '[269, 269, w + 70]', '[269, 269, w + 199]', '[275, 55, 5*w + 25]', '[275, 55, 5*w + 30]', '[276, 138, 2*w + 28]', '[276, 138, 2*w + 64]', '[276, 138, 2*w + 74]', '[276, 138, 2*w + 110]', '[281, 281, 15*w + 113]', '[281, 281, 15*w - 113]', '[284, 142, 24*w - 182]', '[284, 142, 24*w + 182]', '[288, 24, 12*w]', '[288, 72, 4*w + 8]', '[288, 72, 4*w + 64]', '[289, 17, -17]', '[293, 293, w + 75]', '[293, 293, w + 218]', '[294, 42, -7*w - 56]', '[294, 42, -7*w + 56]', '[294, 294, -11*w + 82]', '[294, 294, -5*w + 34]', '[294, 294, 5*w + 34]', '[294, 294, 11*w + 82]', '[296, 148, -14*w + 108]', '[296, 148, -14*w - 108]', '[297, 99, 3*w + 15]', '[297, 99, 12*w + 93]', '[297, 99, -12*w + 93]', '[297, 99, 3*w - 15]', '[297, 297, -4*w - 35]', '[297, 297, -2*w + 23]', '[297, 297, 2*w + 23]', '[297, 297, 4*w - 35]', '[300, 30, 10*w + 10]', '[300, 30, 10*w + 20]', '[301, 301, w + 31]', '[301, 301, w + 74]', '[301, 301, w + 227]', '[301, 301, w + 270]', '[302, 302, w + 80]', '[302, 302, w + 222]', '[303, 303, -w - 19]', '[303, 303, -4*w - 25]', '[303, 303, -4*w + 25]', '[303, 303, w - 19]', '[304, 76, 4*w + 4]', '[304, 76, 4*w + 72]', '[307, 307, w + 66]', '[307, 307, w + 241]', '[308, 154, 2*w + 34]', '[308, 154, 2*w + 76]', '[308, 154, 2*w + 78]', '[308, 154, 2*w + 120]', '[309, 309, w + 26]', '[309, 309, w + 77]', '[309, 309, w + 232]', '[309, 309, w + 283]', '[313, 313, -6*w + 49]', '[313, 313, -6*w - 49]', '[314, 314, -5*w - 42]', '[314, 314, -5*w + 42]', '[317, 317, w + 117]', '[317, 317, w + 200]', '[319, 319, 3*w + 29]', '[319, 319, 3*w - 29]', '[322, 322, w + 32]', '[322, 322, w + 60]', '[322, 322, w + 262]', '[322, 322, w + 290]', '[324, 18, 18]', '[324, 54, 6*w - 42]', '[324, 54, 6*w + 42]', '[324, 162, -10*w + 74]', '[324, 162, -10*w - 74]', '[326, 326, 3*w - 14]', '[326, 326, -3*w - 14]', '[331, 331, w + 148]', '[331, 331, w + 183]', '[333, 111, 3*w + 39]', '[333, 111, 3*w + 72]', '[333, 333, w + 61]', '[333, 333, w + 124]', '[333, 333, w + 209]', '[333, 333, w + 272]', '[334, 334, w + 152]', '[334, 334, w + 182]', '[336, 84, 4*w + 16]', '[336, 84, 4*w + 40]', '[336, 84, 4*w + 44]', '[336, 84, 4*w + 68]', '[338, 26, 13*w]', '[342, 114, 9*w - 66]', '[342, 114, -9*w - 66]', '[342, 342, -w - 20]', '[342, 342, -7*w - 50]', '[342, 342, 7*w - 50]', '[342, 342, -w + 20]', '[343, 49, -14*w + 105]', '[343, 49, -14*w - 105]', '[343, 343, 9*w + 71]', '[343, 343, -9*w + 71]', '[344, 172, -2*w - 24]', '[344, 172, 2*w - 24]', '[348, 174, 8*w + 58]', '[348, 174, -8*w + 58]', '[350, 70, 5*w + 20]', '[350, 70, 5*w + 50]', '[352, 88, -4*w - 24]', '[352, 88, 4*w - 24]', '[353, 353, -3*w - 13]', '[353, 353, 3*w - 13]', '[361, 19, 19]', '[361, 361, -5*w - 33]', '[361, 361, -5*w + 33]', '[363, 33, 11*w + 11]', '[363, 33, 11*w + 22]', '[363, 363, w + 28]', '[363, 363, w + 149]', '[363, 363, w + 214]', '[363, 363, w + 335]', '[366, 366, w + 34]', '[366, 366, w + 88]', '[366, 366, w + 278]', '[366, 366, w + 332]', '[368, 92, 4*w + 36]', '[368, 92, -4*w + 36]', '[378, 126, 3*w + 12]', '[378, 126, -3*w - 30]', '[378, 126, -3*w + 30]', '[378, 126, -3*w + 12]', '[378, 378, -17*w - 128]', '[378, 378, 11*w - 86]', '[378, 378, 11*w + 86]', '[378, 378, 17*w - 128]', '[379, 379, w + 171]', '[379, 379, w + 208]', '[383, 383, -w - 21]', '[383, 383, w - 21]', '[384, 48, -8*w - 64]', '[384, 48, -8*w + 64]', '[387, 129, 3*w + 36]', '[387, 129, 3*w + 93]', '[387, 387, w + 74]', '[387, 387, w + 160]', '[387, 387, w + 227]', '[387, 387, w + 313]', '[389, 389, w + 35]', '[389, 389, w + 354]', '[392, 28, 14*w]', '[392, 196, 2*w + 92]', '[392, 196, 2*w + 104]', '[393, 393, -13*w + 97]', '[393, 393, 2*w - 25]', '[393, 393, -2*w - 25]', '[393, 393, -13*w - 97]', '[396, 66, 6*w + 30]', '[396, 66, 6*w + 36]', '[396, 198, 2*w + 32]', '[396, 198, 2*w + 76]', '[396, 198, 2*w + 122]', '[396, 198, 2*w + 166]', '[398, 398, w + 156]', '[398, 398, w + 242]', '[399, 399, -4*w + 23]', '[399, 399, 13*w - 101]', '[399, 399, -5*w + 43]', '[399, 399, -17*w - 131]', '[399, 399, 17*w - 131]', '[399, 399, 5*w + 43]', '[399, 399, -13*w - 101]', '[399, 399, -4*w - 23]', '[400, 20, 20]', '[401, 401, 3*w - 11]', '[401, 401, -3*w - 11]', '[404, 202, 2*w + 38]', '[404, 202, 2*w + 164]', '[406, 406, 15*w + 116]', '[406, 406, -15*w + 116]', '[407, 407, 7*w - 57]', '[407, 407, -6*w + 41]', '[407, 407, -6*w - 41]', '[407, 407, -7*w - 57]', '[412, 206, -6*w + 50]', '[412, 206, -6*w - 50]', '[414, 138, 3*w + 42]', '[414, 138, 3*w + 96]', '[414, 414, w + 106]', '[414, 414, w + 124]', '[414, 414, w + 290]', '[414, 414, w + 308]', '[418, 418, w + 94]', '[418, 418, w + 170]', '[418, 418, w + 248]', '[418, 418, w + 324]', '[421, 421, w + 30]', '[421, 421, w + 391]', '[422, 422, -3*w - 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171]', '[9967, 9967, 26*w - 171]', '[9969, 9969, -29*w + 197]', '[9969, 9969, 2*w - 101]', '[9969, 9969, -2*w - 101]', '[9969, 9969, -29*w - 197]', '[9973, 9973, w + 4300]', '[9973, 9973, w + 5673]', '[9975, 1995, -20*w + 115]', '[9975, 1995, 65*w - 505]', '[9975, 1995, -25*w + 215]', '[9975, 1995, -85*w - 655]', '[9975, 1995, 85*w - 655]', '[9975, 1995, 25*w + 215]', '[9975, 1995, -65*w - 505]', '[9975, 1995, -20*w - 115]', '[9976, 4988, 2*w + 2088]', '[9976, 4988, 2*w + 2900]', '[9977, 9977, 87*w - 655]', '[9977, 9977, 8*w + 117]', '[9977, 9977, 8*w - 117]', '[9977, 9977, -87*w - 655]', '[9986, 9986, w + 458]', '[9986, 9986, w + 9528]', '[9987, 9987, w + 374]', '[9987, 9987, w + 3703]', '[9987, 9987, w + 6284]', '[9987, 9987, w + 9613]', '[9999, 3333, 45*w + 357]', '[9999, 3333, 24*w + 153]', '[9999, 3333, 24*w - 153]', '[9999, 3333, -45*w + 357]', '[9999, 9999, 14*w - 37]', '[9999, 9999, -37*w - 299]', '[9999, 9999, 5*w + 107]', '[9999, 9999, 107*w + 821]', '[9999, 9999, -107*w + 821]', '[9999, 9999, -5*w + 107]', '[9999, 9999, 37*w - 299]', '[9999, 9999, 14*w + 37]', '[10000, 100, 100]'], 'label': '2.2.232.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[7, 7, -2*w + 15]', '[7, 7, -2*w - 15]', '[11, 11, w + 5]', '[11, 11, w + 6]', '[19, 19, w + 1]', '[19, 19, w + 18]', '[23, 23, w + 9]', '[23, 23, -w + 9]', '[25, 5, 5]', '[29, 29, w]', '[37, 37, w + 13]', '[37, 37, w + 24]', '[43, 43, w + 12]', '[43, 43, w + 31]', '[61, 61, w + 27]', '[61, 61, w + 34]', '[71, 71, 12*w - 91]', '[71, 71, 12*w + 91]', '[101, 101, w + 19]', '[101, 101, w + 82]', '[103, 103, -3*w + 25]', '[103, 103, -3*w - 25]', '[131, 131, w + 53]', '[131, 131, w + 78]', '[151, 151, 2*w - 9]', '[151, 151, -2*w - 9]', '[157, 157, w + 23]', '[157, 157, w + 134]', '[163, 163, w + 59]', '[163, 163, w + 104]', '[167, 167, -w - 15]', '[167, 167, w - 15]', '[169, 13, -13]', '[199, 199, -4*w + 27]', '[199, 199, -4*w - 27]', '[211, 211, w + 67]', '[211, 211, w + 144]', '[223, 223, 2*w - 3]', '[223, 223, -2*w - 3]', '[229, 229, w + 79]', '[229, 229, w + 150]', '[233, 233, 3*w - 17]', '[233, 233, -3*w - 17]', '[239, 239, 6*w + 43]', '[239, 239, 6*w - 43]', '[241, 241, -7*w + 51]', '[241, 241, -7*w - 51]', '[251, 251, w + 73]', '[251, 251, w + 178]', '[257, 257, -8*w - 63]', '[257, 257, -8*w + 63]', '[269, 269, w + 70]', '[269, 269, w + 199]', '[281, 281, 15*w + 113]', '[281, 281, 15*w - 113]', '[289, 17, -17]', '[293, 293, w + 75]', '[293, 293, w + 218]', '[307, 307, w + 66]', '[307, 307, w + 241]', '[313, 313, -6*w + 49]', '[313, 313, -6*w - 49]', '[317, 317, w + 117]', '[317, 317, w + 200]', '[331, 331, w + 148]', '[331, 331, w + 183]', '[353, 353, -3*w - 13]', '[353, 353, 3*w - 13]', '[379, 379, w + 171]', '[379, 379, w + 208]', '[383, 383, -w - 21]', '[383, 383, w - 21]', '[389, 389, w + 35]', '[389, 389, w + 354]', '[401, 401, 3*w - 11]', '[401, 401, -3*w - 11]', '[421, 421, w + 30]', '[421, 421, w + 391]', '[431, 431, -12*w - 89]', '[431, 431, -12*w + 89]', '[439, 439, 3*w - 31]', '[439, 439, -3*w - 31]', '[443, 443, w + 175]', '[443, 443, w + 268]', '[457, 457, -11*w - 81]', '[457, 457, -11*w + 81]', '[461, 461, w + 141]', '[461, 461, w + 320]', '[463, 463, 8*w + 57]', '[463, 463, 8*w - 57]', '[467, 467, w + 92]', '[467, 467, w + 375]', '[487, 487, -4*w - 21]', '[487, 487, 4*w - 21]', '[491, 491, w + 135]', '[491, 491, w + 356]', '[521, 521, -3*w - 1]', '[521, 521, 3*w - 1]', '[541, 541, w + 41]', '[541, 541, w + 500]', '[563, 563, w + 109]', '[563, 563, w + 454]', '[593, 593, -4*w - 39]', '[593, 593, 4*w - 39]', '[619, 619, w + 36]', '[619, 619, w + 583]', '[631, 631, -9*w + 73]', '[631, 631, -9*w - 73]', '[647, 647, 24*w - 181]', '[647, 647, 24*w + 181]', '[653, 653, w + 133]', '[653, 653, w + 520]', '[659, 659, w + 306]', '[659, 659, w + 353]', '[673, 673, 12*w + 95]', '[673, 673, 12*w - 95]', '[677, 677, w + 259]', '[677, 677, w + 418]', '[719, 719, -6*w - 37]', '[719, 719, 6*w - 37]', '[733, 733, w + 304]', '[733, 733, w + 429]', '[739, 739, w + 102]', '[739, 739, w + 637]', '[757, 757, w + 315]', '[757, 757, w + 442]', '[761, 761, -10*w + 81]', '[761, 761, -10*w - 81]', '[773, 773, w + 226]', '[773, 773, w + 547]', '[797, 797, w + 281]', '[797, 797, w + 516]', '[827, 827, w + 239]', '[827, 827, w + 588]', '[829, 829, w + 108]', '[829, 829, w + 721]', '[853, 853, w + 42]', '[853, 853, w + 811]', '[857, 857, 2*w - 33]', '[857, 857, -2*w - 33]', '[859, 859, w + 403]', '[859, 859, w + 456]', '[863, 863, 6*w - 35]', '[863, 863, -6*w - 35]', '[907, 907, w + 128]', '[907, 907, w + 779]', '[919, 919, 4*w - 3]', '[919, 919, -4*w - 3]', '[929, 929, 21*w - 157]', '[929, 929, 21*w + 157]', '[937, 937, 6*w - 55]', '[937, 937, -6*w - 55]', '[947, 947, w + 406]', '[947, 947, w + 541]', '[953, 953, 14*w + 111]', '[953, 953, 14*w - 111]', '[961, 31, -31]', '[971, 971, w + 143]', '[971, 971, w + 828]', '[977, 977, 9*w + 61]', '[977, 977, -9*w + 61]', '[991, 991, -21*w + 163]', '[991, 991, -21*w - 163]', '[997, 997, w + 105]', '[997, 997, w + 892]']}
• 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
  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': [-58, 0, 1], 'conductor': 232, 'degree': 2, 'dirichlet_group': [1, 173], 'disc_abs': 232, 'disc_rad': 58, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [0]], [31, [[2, 1]]], [37, [[1, 2]]], [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': [3, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 15.231546211727817, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.232.1', 'local_algs': ['2.2.3.2', '29.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 29], 'rd': 15.2315462117, 'regulator': {'__RealLiteral__': 0, 'data': '5.28829253732', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 13 a + 99 \\)'], 'used_grh': False, 'zk': ['1', 'a']}