Hilbert modular form data - 2.2.120.1-15.1-a

Formats: - HTML - YAML - JSON - 2025-12-14T05:49:08.695892

• 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': 120, 'field_bad_primes': [2, 3, 5], 'field_label': '2.2.120.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.120.1-15.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [3, 5], 'level_ideal': '[15, 15, w]', 'level_label': '15.1', 'level_norm': 15, 'parallel_weight': 2, 'short_label': '15.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3, 3, w]', -1], ['[5, 5, -w + 5]', -1]], 'hecke_eigenvalues': [1, 1, 1, 0, 0, 2, 2, -2, -2, 4, 4, -2, -2, 10, 10, -8, -8, -12, -12, 6, 6, 16, 16, 12, 12, -2, -2, -6, 8, 8, 6, 6, -4, -4, 22, 22, -14, -14, 16, 16, 20, 20, -8, -8, 20, 20, 6, 6, -16, -16, -14, -14, -18, -18, 14, 14, -6, -6, -24, -24, 12, 12, 28, 28, -18, -18, -24, -24, 24, 24, 26, 26, -20, -20, 6, 6, 2, 2, 26, 26, 0, 0, 12, 12, -18, -18, -24, -24, -28, -28, 0, 0, -32, -32, 4, 4, -34, -34, -46, -12, -12, -4, -4, 12, 12, -34, -34, -8, -8, 26, 26, 8, 8, -22, -22, 6, 6, -4, -4, -36, -36, -44, -44, -2, -2, -48, -48, 16, 16, -14, -14, -44, -44, 26, 26, 2, 2, 12, 12, 54, 54, -32, -32, 28, 28, 40, 40, -6, -6, 22, 22, -20, -20, -30, -30, 32, 32, -50, -50, 36, 36, 22, 22, -62, -32, -32, -2, -2, -54, -54], 'hecke_polynomial': 'x', 'label': '2.2.120.1-15.1-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 120, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w]', '[4, 2, 2]', '[5, 5, -w + 5]', '[6, 6, w - 6]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[8, 4, 2*w]', '[9, 3, 3]', '[10, 10, w]', '[12, 6, 2*w]', '[13, 13, w + 2]', '[13, 13, w + 11]', '[14, 14, -w - 4]', '[14, 14, -w + 4]', '[15, 15, w]', '[16, 4, 4]', '[17, 17, w + 8]', '[17, 17, w + 9]', '[18, 6, 3*w]', '[19, 19, w + 7]', '[19, 19, -w + 7]', '[20, 10, -2*w + 10]', '[21, 21, w + 3]', '[21, 21, w - 3]', '[24, 12, 2*w - 12]', '[25, 5, 5]', '[26, 26, w + 2]', '[26, 26, w - 2]', '[27, 9, 3*w]', '[28, 14, 2*w + 6]', '[28, 14, 2*w + 8]', '[29, 29, -w - 1]', '[29, 29, w - 1]', '[30, 30, w]', '[32, 8, 4*w]', '[34, 34, w + 8]', '[34, 34, -w + 8]', '[35, 35, w + 10]', '[35, 35, w + 25]', '[36, 6, 6]', '[37, 37, w + 17]', '[37, 37, w + 20]', '[38, 38, w + 12]', '[38, 38, w + 26]', '[39, 39, -2*w + 9]', '[39, 39, -2*w - 9]', '[40, 20, 2*w]', '[42, 42, w + 18]', '[42, 42, w + 24]', '[45, 15, -3*w + 15]', '[48, 12, 4*w]', '[49, 7, 7]', '[49, 49, -2*w + 13]', '[49, 49, 2*w + 13]', '[50, 10, 5*w]', '[51, 51, -w - 9]', '[51, 51, w - 9]', '[52, 26, 2*w + 4]', '[52, 26, 2*w + 22]', '[54, 18, 3*w - 18]', '[56, 28, -2*w - 8]', '[56, 28, -2*w + 8]', '[57, 57, w + 12]', '[57, 57, w + 45]', '[58, 58, w + 28]', '[58, 58, w + 30]', '[60, 30, 2*w]', '[63, 21, 3*w + 9]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[65, 65, w + 15]', '[65, 65, w + 50]', '[68, 34, 2*w + 16]', '[68, 34, 2*w + 18]', '[70, 70, w + 10]', '[70, 70, -w + 10]', '[71, 71, 2*w - 7]', '[71, 71, -2*w - 7]', '[72, 12, 6*w]', '[74, 74, 3*w - 14]', '[74, 74, -5*w + 26]', '[75, 15, 5*w]', '[76, 38, 2*w + 14]', '[76, 38, -2*w + 14]', '[78, 78, w + 24]', '[78, 78, w + 54]', '[80, 20, -4*w + 20]', '[81, 9, 9]', '[83, 83, w + 14]', '[83, 83, w + 69]', '[84, 42, 2*w + 6]', '[84, 42, 2*w - 6]', '[85, 85, w + 25]', '[85, 85, w + 60]', '[87, 87, w + 30]', '[87, 87, w + 57]', '[90, 30, 3*w]', '[91, 91, -w - 11]', '[91, 91, 3*w - 19]', '[91, 91, -3*w - 19]', '[91, 91, w - 11]', '[95, 95, -2*w + 5]', '[95, 95, -2*w - 5]', '[96, 24, 4*w - 24]', '[98, 14, 7*w]', '[98, 98, w + 18]', '[98, 98, w + 80]', '[100, 10, 10]', '[101, 101, -7*w + 37]', '[101, 101, -3*w + 13]', '[102, 102, w + 42]', '[102, 102, w + 60]', '[103, 103, w + 37]', '[103, 103, w + 66]', '[104, 52, 2*w + 4]', '[104, 52, 2*w - 4]', '[105, 105, 2*w - 15]', '[105, 105, -2*w - 15]', '[107, 107, w + 43]', '[107, 107, w + 64]', '[108, 18, 6*w]', '[111, 111, 2*w - 3]', '[111, 111, -2*w - 3]', '[112, 28, 4*w + 12]', '[112, 28, 4*w + 16]', '[113, 113, w + 16]', '[113, 113, w + 97]', '[114, 114, -w - 12]', '[114, 114, w - 12]', '[116, 58, -2*w - 2]', '[116, 58, 2*w - 2]', '[117, 39, 3*w + 6]', '[117, 39, 3*w + 33]', '[119, 119, -4*w + 19]', '[119, 119, -2*w + 1]', '[119, 119, -2*w - 1]', '[119, 119, -4*w - 19]', '[120, 60, 2*w]', '[121, 11, -11]', '[125, 25, -5*w + 25]', '[126, 42, -3*w - 12]', '[126, 42, -3*w + 12]', '[127, 127, w + 41]', '[127, 127, w + 86]', '[128, 16, 8*w]', '[130, 130, -3*w - 20]', '[130, 130, 3*w - 20]', '[133, 133, w + 31]', '[133, 133, w + 45]', '[133, 133, w + 88]', '[133, 133, w + 102]', '[135, 45, 3*w]', '[136, 68, 2*w + 16]', '[136, 68, -2*w + 16]', '[137, 137, w + 21]', '[137, 137, w + 116]', '[139, 139, -w - 13]', '[139, 139, w - 13]', '[140, 70, 2*w + 20]', '[140, 70, 2*w + 50]', '[142, 142, w + 32]', '[142, 142, w + 110]', '[144, 12, 12]', '[145, 145, -4*w + 25]', '[145, 145, 6*w - 35]', '[147, 21, 7*w]', '[147, 147, w + 18]', '[147, 147, w + 129]', '[148, 74, 2*w + 34]', '[148, 74, 2*w + 40]', '[149, 149, 3*w - 11]', '[149, 149, -3*w - 11]', '[150, 30, 5*w - 30]', '[152, 76, 2*w + 24]', '[152, 76, 2*w + 52]', '[153, 51, 3*w + 24]', '[153, 51, 3*w + 27]', '[156, 78, -4*w + 18]', '[156, 78, -4*w - 18]', '[157, 157, w + 40]', '[157, 157, w + 117]', '[160, 40, 4*w]', '[162, 18, 9*w]', '[166, 166, -w - 14]', '[166, 166, w - 14]', '[168, 84, 2*w + 36]', '[168, 84, 2*w + 48]', '[169, 13, 13]', '[169, 169, -2*w + 17]', '[169, 169, 2*w + 17]', '[170, 170, -3*w - 10]', '[170, 170, -3*w + 10]', '[171, 57, 3*w + 21]', '[171, 57, -3*w + 21]', '[174, 174, 5*w - 24]', '[174, 174, -7*w + 36]', '[175, 35, 5*w + 15]', '[175, 35, 5*w + 20]', '[180, 30, -6*w + 30]', '[182, 182, w + 24]', '[182, 182, w + 80]', '[182, 182, w + 102]', '[182, 182, w + 158]', '[185, 185, w + 20]', '[185, 185, w + 165]', '[189, 63, 3*w + 9]', '[189, 63, 3*w - 9]', '[190, 190, w + 50]', '[190, 190, w + 140]', '[191, 191, -4*w - 17]', '[191, 191, 4*w - 17]', '[192, 24, 8*w]', '[195, 195, w + 15]', '[195, 195, -w + 15]', '[196, 14, 14]', '[196, 98, -4*w + 26]', '[196, 98, 4*w + 26]', '[200, 20, 10*w]', '[202, 202, w + 38]', '[202, 202, w + 164]', '[203, 203, w + 59]', '[203, 203, w + 88]', '[203, 203, w + 115]', '[203, 203, w + 144]', '[204, 102, -2*w - 18]', '[204, 102, 2*w - 18]', '[206, 206, 3*w - 8]', '[206, 206, -3*w - 8]', '[208, 52, 4*w + 8]', '[208, 52, 4*w + 44]', '[210, 210, w + 60]', '[210, 210, w + 150]', '[211, 211, -5*w + 31]', '[211, 211, -7*w + 41]', '[213, 213, w + 39]', '[213, 213, w + 174]', '[214, 214, 3*w - 22]', '[214, 214, -3*w - 22]', '[216, 36, 6*w - 36]', '[221, 221, 3*w + 7]', '[221, 221, 5*w + 23]', '[221, 221, 5*w - 23]', '[221, 221, 3*w - 7]', '[222, 222, w + 54]', '[222, 222, w + 168]', '[223, 223, w + 91]', '[223, 223, w + 132]', '[224, 56, -4*w - 16]', '[224, 56, -4*w + 16]', '[225, 15, 15]', '[226, 226, -w - 16]', '[226, 226, w - 16]', '[227, 227, w + 22]', '[227, 227, w + 205]', '[228, 114, 2*w + 24]', '[228, 114, 2*w + 90]', '[232, 116, 2*w + 56]', '[232, 116, 2*w + 60]', '[233, 233, w + 27]', '[233, 233, w + 206]', '[234, 78, 3*w + 6]', '[234, 78, 3*w - 6]', '[238, 238, w + 60]', '[238, 238, w + 94]', '[238, 238, w + 144]', '[238, 238, w + 178]', '[239, 239, 6*w - 29]', '[239, 239, 8*w - 41]', '[240, 60, 4*w]', '[241, 241, 2*w - 19]', '[241, 241, -2*w - 19]', '[242, 22, 11*w]', '[243, 27, 9*w]', '[245, 35, -7*w + 35]', '[245, 245, -3*w + 5]', '[245, 245, -3*w - 5]', '[247, 247, w + 50]', '[247, 247, w + 102]', '[247, 247, w + 145]', '[247, 247, w + 197]', '[249, 249, -10*w + 57]', '[249, 249, -4*w + 27]', '[250, 50, 5*w]', '[252, 42, 6*w + 18]', '[252, 42, 6*w + 24]', '[254, 254, -3*w - 4]', '[254, 254, 3*w - 4]', '[255, 255, 4*w - 15]', '[255, 255, 4*w + 15]', '[256, 16, 16]', '[257, 257, w + 95]', '[257, 257, w + 162]', '[259, 259, w + 17]', '[259, 259, -3*w - 23]', '[259, 259, -3*w + 23]', '[259, 259, w - 17]', '[260, 130, 2*w + 30]', '[260, 130, 2*w + 100]', '[261, 87, -3*w - 3]', '[261, 87, 3*w - 3]', '[266, 266, -3*w + 2]', '[266, 266, -5*w + 22]', '[266, 266, -5*w - 22]', '[266, 266, -3*w - 2]', '[269, 269, -3*w - 1]', '[269, 269, 3*w - 1]', '[270, 90, 3*w]', '[272, 68, 4*w + 32]', '[272, 68, 4*w + 36]', '[273, 273, w + 24]', '[273, 273, w + 102]', '[273, 273, w + 171]', '[273, 273, w + 249]', '[274, 274, -9*w + 52]', '[274, 274, -5*w + 32]', '[277, 277, w + 108]', '[277, 277, w + 169]', '[278, 278, w + 126]', '[278, 278, w + 152]', '[280, 140, 2*w + 20]', '[280, 140, -2*w + 20]', '[284, 142, 4*w - 14]', '[284, 142, -4*w - 14]', '[285, 285, w + 45]', '[285, 285, w + 240]', '[288, 24, 12*w]', '[289, 17, 17]', '[289, 289, -6*w + 37]', '[289, 289, 6*w + 37]', '[290, 290, w + 30]', '[290, 290, w + 260]', '[294, 42, 7*w - 42]', '[294, 294, -w - 18]', '[294, 294, w - 18]', '[296, 148, 6*w - 28]', '[296, 148, -10*w + 52]', '[298, 298, w + 46]', '[298, 298, w + 252]', '[300, 30, 10*w]', '[303, 303, w + 63]', '[303, 303, w + 240]', '[304, 76, 4*w + 28]', '[304, 76, -4*w + 28]', '[306, 102, 3*w + 24]', '[306, 102, -3*w + 24]', '[309, 309, -13*w + 69]', '[309, 309, 5*w - 21]', '[311, 311, -4*w - 13]', '[311, 311, 4*w - 13]', '[312, 156, 2*w + 48]', '[312, 156, 2*w + 108]', '[314, 314, 7*w - 34]', '[314, 314, -9*w + 46]', '[315, 105, 3*w + 30]', '[315, 105, 3*w + 75]', '[320, 40, -8*w + 40]', '[321, 321, -2*w + 21]', '[321, 321, -20*w + 111]', '[323, 323, w + 26]', '[323, 323, w + 145]', '[323, 323, w + 178]', '[323, 323, w + 297]', '[324, 18, 18]', '[325, 65, 5*w + 10]', '[325, 65, 5*w + 55]', '[331, 331, -w - 19]', '[331, 331, w - 19]', '[332, 166, 2*w + 28]', '[332, 166, 2*w + 138]', '[333, 111, 3*w + 51]', '[333, 111, 3*w + 60]', '[336, 84, 4*w + 12]', '[336, 84, 4*w - 12]', '[338, 26, 13*w]', '[338, 338, w + 76]', '[338, 338, w + 262]', '[339, 339, -5*w + 33]', '[339, 339, -11*w + 63]', '[340, 170, 2*w + 50]', '[340, 170, 2*w + 120]', '[342, 114, 3*w + 36]', '[342, 114, 3*w + 78]', '[343, 49, 7*w + 21]', '[343, 49, 7*w + 28]', '[343, 343, w + 67]', '[343, 343, w + 276]', '[347, 347, w + 77]', '[347, 347, w + 270]', '[348, 174, 2*w + 60]', '[348, 174, 2*w + 114]', '[350, 70, -5*w - 20]', '[350, 70, -5*w + 20]', '[351, 117, -6*w + 27]', '[351, 117, -6*w - 27]', '[353, 353, w + 33]', '[353, 353, w + 320]', '[355, 355, -3*w + 25]', '[355, 355, 17*w - 95]', '[357, 357, w + 60]', '[357, 357, w + 144]', '[357, 357, w + 213]', '[357, 357, w + 297]', '[359, 359, 4*w - 11]', '[359, 359, -4*w - 11]', '[360, 60, 6*w]', '[361, 19, 19]', '[361, 361, -4*w + 29]', '[361, 361, 4*w + 29]', '[363, 33, 11*w]', '[364, 182, -2*w - 22]', '[364, 182, 6*w - 38]', '[364, 182, -6*w - 38]', '[364, 182, 2*w - 22]', '[367, 367, w + 146]', '[367, 367, w + 221]', '[370, 370, -w - 20]', '[370, 370, -w + 20]', '[373, 373, w + 75]', '[373, 373, w + 298]', '[375, 75, 5*w]', '[377, 377, w + 28]', '[377, 377, w + 115]', '[377, 377, w + 262]', '[377, 377, w + 349]', '[378, 126, 3*w + 54]', '[378, 126, 3*w + 72]', '[379, 379, -7*w + 43]', '[379, 379, -9*w + 53]', '[380, 190, -4*w + 10]', '[380, 190, -4*w - 10]', '[381, 381, -11*w + 57]', '[381, 381, 7*w - 33]', '[382, 382, w + 52]', '[382, 382, w + 330]', '[384, 48, 8*w - 48]', '[389, 389, 5*w - 19]', '[389, 389, -5*w - 19]', '[390, 390, w + 180]', '[390, 390, w + 210]', '[392, 28, 14*w]', '[392, 196, 2*w + 36]', '[392, 196, 2*w + 160]', '[397, 397, w + 53]', '[397, 397, w + 344]', '[399, 399, 8*w - 39]', '[399, 399, 4*w + 9]', '[399, 399, 4*w - 9]', '[399, 399, 8*w + 39]', '[400, 20, 20]', '[404, 202, -14*w + 74]', '[404, 202, -6*w + 26]', '[405, 45, -9*w + 45]', '[406, 406, 5*w + 34]', '[406, 406, -3*w - 26]', '[406, 406, -3*w + 26]', '[406, 406, 5*w - 34]', '[408, 204, 2*w + 84]', '[408, 204, 2*w + 120]', '[409, 409, 2*w - 23]', '[409, 409, -2*w - 23]', '[411, 411, -w - 21]', '[411, 411, w - 21]', '[412, 206, 2*w + 74]', '[412, 206, 2*w + 132]', '[415, 415, w + 180]', '[415, 415, w + 235]', '[416, 104, 4*w + 8]', '[416, 104, 4*w - 8]', '[417, 417, w + 126]', '[417, 417, w + 291]', '[420, 210, 4*w - 30]', '[420, 210, -4*w - 30]', '[422, 422, w + 36]', '[422, 422, w + 386]', '[425, 85, 5*w + 40]', '[425, 85, 5*w + 45]', '[426, 426, -19*w + 102]', '[426, 426, 5*w - 18]', '[428, 214, 2*w + 86]', '[428, 214, 2*w + 128]', '[431, 431, 4*w - 7]', '[431, 431, -4*w - 7]', '[432, 36, 12*w]', '[435, 435, w + 30]', '[435, 435, w + 405]', '[441, 21, 21]', '[441, 147, -6*w + 39]', '[441, 147, 6*w + 39]', '[442, 442, w + 76]', '[442, 442, w + 128]', '[442, 442, w + 314]', '[442, 442, w + 366]', '[443, 443, w + 159]', '[443, 443, w + 284]', '[444, 222, 4*w - 6]', '[444, 222, -4*w - 6]', '[446, 446, -13*w + 68]', '[446, 446, 7*w - 32]', '[447, 447, w + 195]', '[447, 447, w + 252]', '[448, 56, 8*w + 24]', '[448, 56, 8*w + 32]', '[450, 30, 15*w]', '[452, 226, 2*w + 32]', '[452, 226, 2*w + 194]', '[454, 454, -w - 22]', '[454, 454, w - 22]', '[455, 455, 6*w + 25]', '[455, 455, 4*w + 5]', '[455, 455, 4*w - 5]', '[455, 455, 6*w - 25]', '[456, 228, -2*w - 24]', '[456, 228, 2*w - 24]', '[459, 153, -3*w - 27]', '[459, 153, 3*w - 27]', '[461, 461, 5*w - 17]', '[461, 461, -5*w - 17]', '[463, 463, w + 131]', '[463, 463, w + 332]', '[464, 116, -4*w - 4]', '[464, 116, 4*w - 4]', '[466, 466, -11*w + 64]', '[466, 466, -7*w + 44]', '[467, 467, w + 214]', '[467, 467, w + 253]', '[468, 78, 6*w + 12]', '[468, 78, 6*w + 66]', '[471, 471, 4*w - 3]', '[471, 471, -4*w - 3]', '[475, 95, 5*w + 35]', '[475, 95, -5*w + 35]', '[476, 238, -8*w + 38]', '[476, 238, -4*w + 2]', '[476, 238, -4*w - 2]', '[476, 238, -8*w - 38]', '[478, 478, w + 204]', '[478, 478, w + 274]', '[479, 479, -4*w - 1]', '[479, 479, 4*w - 1]', '[480, 120, 4*w]', '[481, 481, 8*w - 49]', '[481, 481, -4*w - 31]', '[481, 481, -4*w + 31]', '[481, 481, 8*w + 49]', '[482, 482, w + 130]', '[482, 482, w + 352]', '[484, 22, -22]', '[486, 54, 9*w - 54]', '[487, 487, w + 70]', '[487, 487, w + 417]', '[490, 70, 7*w]', '[490, 490, w + 80]', '[490, 490, w + 410]', '[493, 493, w + 59]', '[493, 493, w + 144]', '[493, 493, w + 349]', '[493, 493, w + 434]', '[494, 494, 9*w - 44]', '[494, 494, 5*w + 16]', '[494, 494, 5*w - 16]', '[494, 494, 9*w + 44]', '[497, 497, w + 32]', '[497, 497, w + 39]', '[497, 497, w + 458]', '[497, 497, w + 465]', '[498, 498, w + 180]', '[498, 498, w + 318]', '[499, 499, -w - 23]', '[499, 499, w - 23]', '[500, 50, -10*w + 50]', '[504, 84, -6*w - 24]', '[504, 84, -6*w + 24]', '[505, 505, -2*w + 25]', '[505, 505, 2*w + 25]', '[507, 39, 13*w]', '[507, 507, w + 93]', '[507, 507, w + 414]', '[508, 254, 2*w + 82]', '[508, 254, 2*w + 172]', '[509, 509, -7*w + 31]', '[509, 509, -15*w + 79]', '[510, 510, w + 60]', '[510, 510, w + 450]', '[512, 32, 16*w]', '[513, 171, 3*w + 36]', '[513, 171, 3*w + 135]', '[514, 514, -3*w + 28]', '[514, 514, -3*w - 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145]', '[9695, 9695, -32*w - 145]', '[9695, 9695, 18*w + 5]', '[9696, 2424, 20*w - 48]', '[9696, 2424, 20*w + 48]', '[9698, 9698, w + 1194]', '[9698, 9698, w + 4028]', '[9698, 9698, w + 5670]', '[9698, 9698, w + 8504]', '[9704, 4852, 18*w - 4]', '[9704, 4852, -18*w - 4]', '[9707, 9707, w + 1913]', '[9707, 9707, w + 4768]', '[9707, 9707, w + 4939]', '[9707, 9707, w + 7794]', '[9711, 3237, -18*w - 3]', '[9711, 3237, -24*w + 87]', '[9711, 3237, -24*w - 87]', '[9711, 3237, -18*w + 3]', '[9712, 2428, 4*w + 356]', '[9712, 2428, 4*w + 2072]', '[9716, 4858, -18*w - 2]', '[9716, 4858, -34*w + 158]', '[9716, 4858, -34*w - 158]', '[9716, 4858, -18*w + 2]', '[9719, 9719, -18*w - 1]', '[9719, 9719, 18*w - 1]', '[9720, 540, 18*w]', '[9721, 9721, 4*w - 101]', '[9721, 9721, -4*w - 101]', '[9723, 9723, w + 795]', '[9723, 9723, w + 3573]', '[9723, 9723, w + 6150]', '[9723, 9723, w + 8928]', '[9725, 1945, 25*w - 95]', '[9725, 1945, -25*w - 95]', '[9727, 9727, w + 1665]', '[9727, 9727, w + 4363]', '[9727, 9727, w + 5364]', '[9727, 9727, w + 8062]', '[9728, 608, 16*w + 192]', '[9728, 608, 16*w + 416]', '[9730, 9730, -23*w - 160]', '[9730, 9730, 3*w - 100]', '[9730, 9730, -3*w - 100]', '[9730, 9730, 23*w - 160]', '[9732, 4866, 2*w + 1680]', '[9732, 4866, 2*w + 3186]', '[9733, 9733, w + 1522]', '[9733, 9733, w + 8211]', '[9736, 4868, 6*w - 104]', '[9736, 4868, -6*w - 104]', '[9737, 9737, w + 171]', '[9737, 9737, w + 899]', '[9737, 9737, w + 4344]', '[9737, 9737, w + 4665]', '[9737, 9737, w + 5072]', '[9737, 9737, w + 5393]', '[9737, 9737, w + 8838]', '[9737, 9737, w + 9566]', '[9739, 9739, -29*w + 187]', '[9739, 9739, -55*w + 317]', '[9740, 4870, 2*w + 140]', '[9740, 4870, 2*w + 4730]', '[9741, 9741, -19*w + 33]', '[9741, 9741, 53*w + 273]', '[9741, 9741, -53*w + 273]', '[9741, 9741, 19*w + 33]', '[9742, 9742, w + 910]', '[9742, 9742, w + 8832]', '[9744, 2436, -16*w + 132]', '[9744, 2436, 8*w - 108]', '[9744, 2436, 8*w + 108]', '[9744, 2436, -16*w - 132]', '[9745, 9745, 96*w - 535]', '[9745, 9745, -14*w + 125]', '[9747, 171, 57*w]', '[9747, 3249, 3*w + 1332]', '[9747, 3249, 3*w + 1917]', '[9748, 4874, 2*w + 752]', '[9748, 4874, 2*w + 4122]', '[9749, 9749, -21*w - 59]', '[9749, 9749, 21*w - 59]', '[9750, 1950, 5*w + 900]', '[9750, 1950, 5*w + 1050]', '[9759, 9759, -22*w + 69]', '[9759, 9759, -22*w - 69]', '[9766, 9766, 33*w + 206]', '[9766, 9766, 7*w - 106]', '[9766, 9766, 7*w + 106]', '[9766, 9766, 33*w - 206]', '[9769, 9769, -10*w - 113]', '[9769, 9769, 10*w - 113]', '[9770, 9770, 27*w - 110]', '[9770, 9770, 77*w - 410]', '[9771, 9771, -w - 99]', '[9771, 9771, w - 99]', '[9777, 9777, w + 585]', '[9777, 9777, w + 9192]', '[9783, 3261, 3*w + 357]', '[9783, 3261, 3*w + 2904]', '[9785, 9785, w + 140]', '[9785, 9785, w + 3465]', '[9785, 9785, w + 6320]', '[9785, 9785, w + 9645]', '[9786, 9786, 23*w - 78]', '[9786, 9786, 31*w - 138]', '[9786, 9786, 31*w + 138]', '[9786, 9786, 23*w + 78]', '[9791, 9791, -20*w - 47]', '[9791, 9791, 20*w - 47]', '[9792, 408, 24*w + 192]', '[9792, 408, 24*w + 216]', '[9800, 140, 70*w]', '[9800, 980, 10*w + 180]', '[9800, 980, 10*w + 800]', '[9801, 99, -99]', '[9802, 754, 13*w + 364]', '[9802, 754, 13*w + 390]', '[9802, 9802, w + 262]', '[9802, 9802, w + 2290]', '[9802, 9802, w + 7512]', '[9802, 9802, w + 9540]', '[9803, 9803, w + 3654]', '[9803, 9803, w + 6149]', '[9806, 9806, -19*w - 32]', '[9806, 9806, 19*w - 32]', '[9807, 9807, w + 2082]', '[9807, 9807, w + 3483]', '[9807, 9807, w + 6324]', '[9807, 9807, w + 7725]', '[9808, 2452, 4*w + 924]', '[9808, 2452, 4*w + 1528]', '[9811, 9811, 25*w - 169]', '[9811, 9811, -63*w + 359]', '[9814, 9814, 27*w + 178]', '[9814, 9814, -13*w - 122]', '[9814, 9814, -13*w + 122]', '[9814, 9814, 27*w - 178]', '[9816, 4908, -22*w + 156]', '[9816, 4908, -70*w + 396]', '[9826, 578, 17*w + 136]', '[9826, 578, -17*w + 136]', '[9826, 9826, -11*w + 116]', '[9826, 9826, 11*w + 116]', '[9828, 1638, 6*w + 144]', '[9828, 1638, 6*w + 612]', '[9828, 1638, 6*w + 1026]', '[9828, 1638, 6*w + 1494]', '[9831, 9831, 38*w - 183]', '[9831, 9831, 28*w - 117]', '[9831, 9831, -74*w + 393]', '[9831, 9831, -52*w + 267]', '[9832, 4916, 2*w + 2020]', '[9832, 4916, 2*w + 2896]', '[9833, 9833, w + 4712]', '[9833, 9833, w + 5121]', '[9837, 3279, 3*w + 1182]', '[9837, 3279, 3*w + 2097]', '[9838, 9838, w + 3160]', '[9838, 9838, w + 6678]', '[9839, 9839, -68*w + 359]', '[9839, 9839, -30*w + 131]', '[9841, 9841, 12*w + 119]', '[9841, 9841, -34*w + 211]', '[9841, 9841, 34*w + 211]', '[9841, 9841, -12*w + 119]', '[9842, 9842, w + 2496]', '[9842, 9842, w + 3014]', '[9842, 9842, w + 3902]', '[9842, 9842, w + 4420]', '[9842, 9842, w + 5422]', '[9842, 9842, w + 5940]', '[9842, 9842, w + 6828]', '[9842, 9842, w + 7346]', '[9852, 4926, 2*w + 756]', '[9852, 4926, 2*w + 4170]', '[9854, 9854, 29*w + 124]', '[9854, 9854, 35*w - 164]', '[9854, 9854, 35*w + 164]', '[9854, 9854, 29*w - 124]', '[9857, 9857, w + 1027]', '[9857, 9857, w + 8830]', '[9859, 9859, 5*w - 103]', '[9859, 9859, -5*w - 103]', '[9860, 4930, 2*w + 2090]', '[9860, 4930, 2*w + 2260]', '[9860, 4930, 2*w + 2670]', '[9860, 4930, 2*w + 2840]', '[9864, 1644, -54*w + 312]', '[9864, 1644, -30*w + 192]', '[9866, 9866, -21*w - 58]', '[9866, 9866, 21*w - 58]', '[9869, 9869, 61*w - 319]', '[9869, 9869, -19*w - 31]', '[9869, 9869, 19*w - 31]', '[9869, 9869, 33*w - 151]', '[9872, 2468, 4*w + 1028]', '[9872, 2468, 4*w + 1440]', '[9873, 3291, 3*w + 1440]', '[9873, 3291, 3*w + 1851]', '[9874, 9874, -21*w - 152]', '[9874, 9874, 21*w - 152]', '[9876, 4938, 26*w - 102]', '[9876, 4938, -82*w + 438]', '[9877, 9877, w + 263]', '[9877, 9877, w + 927]', '[9877, 9877, w + 2559]', '[9877, 9877, w + 3749]', '[9877, 9877, w + 6128]', '[9877, 9877, w + 7318]', '[9877, 9877, w + 8950]', '[9877, 9877, w + 9614]', '[9880, 4940, -2*w - 100]', '[9880, 4940, 18*w - 140]', '[9880, 4940, -18*w - 140]', '[9880, 4940, 2*w - 100]', '[9884, 4942, -20*w + 46]', '[9884, 4942, -24*w + 86]', '[9884, 4942, -24*w - 86]', '[9884, 4942, -20*w - 46]', '[9888, 2472, 4*w + 264]', '[9888, 2472, 4*w + 2208]', '[9891, 3297, 9*w - 111]', '[9891, 3297, -15*w + 129]', '[9891, 3297, -15*w - 129]', '[9891, 3297, 9*w + 111]', '[9896, 4948, -22*w - 68]', '[9896, 4948, 22*w - 68]', '[9898, 1414, 7*w + 266]', '[9898, 1414, 7*w + 1148]', '[9898, 9898, w + 1452]', '[9898, 9898, w + 2664]', '[9898, 9898, w + 7234]', '[9898, 9898, w + 8446]', '[9904, 2476, -20*w - 148]', '[9904, 2476, 20*w - 148]', '[9906, 9906, 35*w - 216]', '[9906, 9906, -19*w + 144]', '[9906, 9906, -19*w - 144]', '[9906, 9906, 35*w + 216]', '[9909, 3303, -51*w + 261]', '[9909, 3303, 39*w - 189]', '[9914, 9914, 87*w - 466]', '[9914, 9914, -25*w + 94]', '[9918, 3306, 3*w + 264]', '[9918, 3306, 3*w + 606]', '[9918, 3306, 3*w + 2700]', '[9918, 3306, 3*w + 3042]', '[9923, 9923, w + 2856]', '[9923, 9923, w + 7067]', '[9924, 4962, 4*w - 102]', '[9924, 4962, -4*w - 102]', '[9925, 1985, 5*w + 265]', '[9925, 1985, 5*w + 1720]', '[9930, 9930, -19*w - 30]', '[9930, 9930, -19*w + 30]', '[9931, 9931, -3*w - 101]', '[9931, 9931, 3*w - 101]', '[9932, 4966, 2*w + 2188]', '[9932, 4966, 2*w + 2396]', '[9932, 4966, 2*w + 2570]', '[9932, 4966, 2*w + 2778]', '[9938, 9938, w + 3116]', '[9938, 9938, w + 6822]', '[9940, 4970, 2*w + 930]', '[9940, 4970, 2*w + 1910]', '[9940, 4970, 2*w + 3060]', '[9940, 4970, 2*w + 4040]', '[9941, 9941, -23*w - 77]', '[9941, 9941, 23*w - 77]', '[9945, 3315, -24*w - 165]', '[9945, 3315, 6*w - 105]', '[9945, 3315, -6*w - 105]', '[9945, 3315, 24*w - 165]', '[9947, 1421, 7*w + 413]', '[9947, 1421, 7*w + 616]', '[9947, 1421, 7*w + 805]', '[9947, 1421, 7*w + 1008]', '[9947, 9947, w + 753]', '[9947, 9947, w + 3363]', '[9947, 9947, w + 6584]', '[9947, 9947, w + 9194]', '[9952, 2488, 4*w + 920]', '[9952, 2488, 4*w + 1568]', '[9953, 9953, w + 1793]', '[9953, 9953, w + 2869]', '[9953, 9953, w + 7084]', '[9953, 9953, w + 8160]', '[9960, 4980, 2*w + 360]', '[9960, 4980, 2*w + 4620]', '[9961, 9961, 36*w + 221]', '[9961, 9961, -8*w - 109]', '[9961, 9961, -8*w + 109]', '[9961, 9961, 36*w - 221]', '[9967, 9967, w + 4059]', '[9967, 9967, w + 5908]', '[9969, 9969, -58*w + 333]', '[9969, 9969, -28*w + 183]', '[9970, 9970, -w - 100]', '[9970, 9970, -w + 100]', '[9972, 1662, 6*w + 648]', '[9972, 1662, 6*w + 1014]', '[9973, 9973, w + 882]', '[9973, 9973, w + 9091]', '[9975, 1995, 40*w - 195]', '[9975, 1995, 20*w + 45]', '[9975, 1995, 20*w - 45]', '[9975, 1995, 40*w + 195]', '[9978, 9978, w + 1152]', '[9978, 9978, w + 8826]', '[9979, 9979, -7*w - 107]', '[9979, 9979, -31*w - 197]', '[9979, 9979, 31*w - 197]', '[9979, 9979, 7*w - 107]', '[9980, 4990, 56*w - 290]', '[9980, 4990, 36*w - 170]', '[9981, 3327, -21*w - 57]', '[9981, 3327, 21*w - 57]', '[9984, 624, -32*w + 144]', '[9984, 624, -32*w - 144]', '[9989, 9989, -27*w - 109]', '[9989, 9989, -19*w - 29]', '[9989, 9989, -19*w + 29]', '[9989, 9989, -27*w + 109]', '[9990, 3330, 3*w + 1170]', '[9990, 3330, 3*w + 2160]', '[9992, 4996, 2*w + 1212]', '[9992, 4996, 2*w + 3784]', '[9993, 9993, w + 4026]', '[9993, 9993, w + 5967]', '[9996, 714, -14*w - 126]', '[9996, 714, 14*w - 126]', '[9996, 4998, 26*w - 174]', '[9996, 4998, -10*w - 114]', '[9996, 4998, 10*w - 114]', '[9996, 4998, -26*w - 174]', '[9997, 9997, w + 648]', '[9997, 9997, w + 2186]', '[9997, 9997, w + 7811]', '[9997, 9997, w + 9349]', '[10000, 100, 100]'], 'label': '2.2.120.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[3, 3, w]', '[5, 5, -w + 5]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[13, 13, w + 2]', '[13, 13, w + 11]', '[17, 17, w + 8]', '[17, 17, w + 9]', '[19, 19, w + 7]', '[19, 19, -w + 7]', '[29, 29, -w - 1]', '[29, 29, w - 1]', '[37, 37, w + 17]', '[37, 37, w + 20]', '[71, 71, 2*w - 7]', '[71, 71, -2*w - 7]', '[83, 83, w + 14]', '[83, 83, w + 69]', '[101, 101, -7*w + 37]', '[101, 101, -3*w + 13]', '[103, 103, w + 37]', '[103, 103, w + 66]', '[107, 107, w + 43]', '[107, 107, w + 64]', '[113, 113, w + 16]', '[113, 113, w + 97]', '[121, 11, -11]', '[127, 127, w + 41]', '[127, 127, w + 86]', '[137, 137, w + 21]', '[137, 137, w + 116]', '[139, 139, -w - 13]', '[139, 139, w - 13]', '[149, 149, 3*w - 11]', '[149, 149, -3*w - 11]', '[157, 157, w + 40]', '[157, 157, w + 117]', '[191, 191, -4*w - 17]', '[191, 191, 4*w - 17]', '[211, 211, -5*w + 31]', '[211, 211, -7*w + 41]', '[223, 223, w + 91]', '[223, 223, w + 132]', '[227, 227, w + 22]', '[227, 227, w + 205]', '[233, 233, w + 27]', '[233, 233, w + 206]', '[239, 239, 6*w - 29]', '[239, 239, 8*w - 41]', '[241, 241, 2*w - 19]', '[241, 241, -2*w - 19]', '[257, 257, w + 95]', '[257, 257, w + 162]', '[269, 269, -3*w - 1]', '[269, 269, 3*w - 1]', '[277, 277, w + 108]', '[277, 277, w + 169]', '[311, 311, -4*w - 13]', '[311, 311, 4*w - 13]', '[331, 331, -w - 19]', '[331, 331, w - 19]', '[347, 347, w + 77]', '[347, 347, w + 270]', '[353, 353, w + 33]', '[353, 353, w + 320]', '[359, 359, 4*w - 11]', '[359, 359, -4*w - 11]', '[367, 367, w + 146]', '[367, 367, w + 221]', '[373, 373, w + 75]', '[373, 373, w + 298]', '[379, 379, -7*w + 43]', '[379, 379, -9*w + 53]', '[389, 389, 5*w - 19]', '[389, 389, -5*w - 19]', '[397, 397, w + 53]', '[397, 397, w + 344]', '[409, 409, 2*w - 23]', '[409, 409, -2*w - 23]', '[431, 431, 4*w - 7]', '[431, 431, -4*w - 7]', '[443, 443, w + 159]', '[443, 443, w + 284]', '[461, 461, 5*w - 17]', '[461, 461, -5*w - 17]', '[463, 463, w + 131]', '[463, 463, w + 332]', '[467, 467, w + 214]', '[467, 467, w + 253]', '[479, 479, -4*w - 1]', '[479, 479, 4*w - 1]', '[487, 487, w + 70]', '[487, 487, w + 417]', '[499, 499, -w - 23]', '[499, 499, w - 23]', '[509, 509, -7*w + 31]', '[509, 509, -15*w + 79]', '[529, 23, -23]', '[563, 563, w + 34]', '[563, 563, w + 529]', '[571, 571, -3*w - 29]', '[571, 571, 3*w - 29]', '[587, 587, w + 183]', '[587, 587, w + 404]', '[593, 593, w + 246]', '[593, 593, w + 347]', '[599, 599, 10*w - 49]', '[599, 599, 12*w - 61]', '[601, 601, -16*w + 91]', '[601, 601, 6*w - 41]', '[607, 607, w + 89]', '[607, 607, w + 518]', '[613, 613, w + 231]', '[613, 613, w + 382]', '[617, 617, w + 257]', '[617, 617, w + 360]', '[619, 619, -5*w - 37]', '[619, 619, 5*w - 37]', '[683, 683, w + 264]', '[683, 683, w + 419]', '[691, 691, 3*w - 31]', '[691, 691, -3*w - 31]', '[701, 701, 5*w - 7]', '[701, 701, -5*w - 7]', '[719, 719, -6*w - 19]', '[719, 719, 6*w - 19]', '[727, 727, w + 311]', '[727, 727, w + 416]', '[733, 733, w + 105]', '[733, 733, w + 628]', '[739, 739, -7*w + 47]', '[739, 739, 17*w - 97]', '[757, 757, w + 73]', '[757, 757, w + 684]', '[769, 769, 6*w - 43]', '[769, 769, -6*w - 43]', '[811, 811, -w - 29]', '[811, 811, w - 29]', '[821, 821, 15*w - 77]', '[821, 821, 11*w - 53]', '[823, 823, w + 186]', '[823, 823, w + 637]', '[827, 827, w + 388]', '[827, 827, w + 439]', '[839, 839, 12*w - 59]', '[839, 839, 14*w - 71]', '[853, 853, w + 258]', '[853, 853, w + 595]', '[857, 857, w + 51]', '[857, 857, w + 806]', '[859, 859, -11*w + 67]', '[859, 859, -13*w + 77]', '[877, 877, w + 192]', '[877, 877, w + 685]', '[911, 911, -6*w - 13]', '[911, 911, 6*w - 13]', '[941, 941, 7*w - 23]', '[941, 941, -7*w - 23]', '[947, 947, w + 127]', '[947, 947, w + 820]', '[953, 953, w + 44]', '[953, 953, w + 909]', '[961, 31, -31]', '[967, 967, w + 442]', '[967, 967, w + 525]', '[977, 977, w + 185]', '[977, 977, w + 792]', '[997, 997, w + 100]', '[997, 997, w + 897]']}
• 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': [-30, 0, 1], 'conductor': 120, 'degree': 2, 'dirichlet_group': [1, 59], 'disc_abs': 120, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [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, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 10.954451150103322, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.120.1', 'local_algs': ['2.1.2.3a1.1', '3.1.2.1a1.2', '5.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 5], 'rd': 10.9544511501, 'regulator': {'__RealLiteral__': 0, 'data': '3.08896990484', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a - 11 \\)'], 'used_grh': False, 'zk': ['1', 'a']}