Hilbert modular form data - 2.2.204.1-34.1-b

Formats: - HTML - YAML - JSON - 2025-11-02T02:46:55.354756

• 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': 204, 'field_bad_primes': [2, 3, 17], 'field_label': '2.2.204.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.204.1-34.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 17], 'level_ideal': '[34, 34, w + 17]', 'level_label': '34.1', 'level_norm': 34, 'parallel_weight': 2, 'short_label': '34.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 7]', 1], ['[17, 17, w]', 1]], 'hecke_eigenvalues': [-1, 2, 0, 0, 4, 4, 2, 2, -1, 0, 0, 4, 4, 6, 6, 0, 0, 0, 0, -8, -8, 0, 0, -6, -6, 14, -2, -2, 14, 14, -2, -2, 24, 24, -12, -12, 24, 24, -12, -12, 16, 16, 10, 10, 14, 14, 18, 18, -24, -24, 24, 24, -24, -24, -24, -24, -14, -14, -12, -12, 26, 26, -24, -24, -22, 16, 16, -22, -22, -14, -14, 24, 24, 30, 30, -10, -10, 2, 2, 2, 2, -8, -8, 24, 24, -18, -18, 26, 26, -12, -12, -8, -8, 12, 12, -14, -14, -18, -18, -46, -2, -2, 24, 24, -26, -26, 14, 14, -12, -12, 24, 24, -20, -20, 14, 14, -30, -30, -26, -26, -18, -18, -14, -14, 48, 48, 24, 24, 12, 12, -46, -46, -12, -12, 10, 10, -22, -22, -8, -8, -10, -10, 14, 14, 46, 46, 30, 30, -38, -38, 36, 36, 16, 16, -10, -10, -18, -18, -48, -48, 18, 18, 58, 58, -18, -18, -58, -58, -36, -36, 24, 24, 16, 16], 'hecke_polynomial': 'x', 'label': '2.2.204.1-34.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 204, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 7]', '[3, 3, w]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w + 4]', '[6, 6, w + 3]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[8, 4, -2*w + 14]', '[9, 3, 3]', '[10, 10, w + 1]', '[10, 10, w + 9]', '[12, 6, 2*w]', '[13, 13, w - 8]', '[13, 13, w + 8]', '[14, 14, w + 3]', '[14, 14, w + 11]', '[15, 15, -w - 6]', '[15, 15, -w + 6]', '[16, 4, 4]', '[17, 17, w]', '[18, 6, -3*w + 21]', '[20, 10, 2*w + 2]', '[20, 10, 2*w + 8]', '[21, 21, 2*w - 15]', '[21, 21, -2*w - 15]', '[24, 12, 2*w + 6]', '[25, 5, 5]', '[25, 25, -3*w + 22]', '[25, 25, 3*w + 22]', '[26, 26, w + 5]', '[26, 26, -w + 5]', '[27, 9, 3*w]', '[28, 14, 2*w + 6]', '[28, 14, 2*w + 8]', '[29, 29, w + 14]', '[29, 29, w + 15]', '[30, 30, w + 9]', '[30, 30, -w + 9]', '[31, 31, w + 12]', '[31, 31, w + 19]', '[32, 8, -4*w + 28]', '[34, 34, w + 17]', '[35, 35, w + 4]', '[35, 35, 2*w - 13]', '[35, 35, 2*w + 13]', '[35, 35, w - 4]', '[36, 6, 6]', '[39, 39, w + 18]', '[39, 39, w + 21]', '[40, 20, 2*w + 2]', '[40, 20, 2*w + 18]', '[41, 41, w + 16]', '[41, 41, w + 25]', '[42, 42, w + 3]', '[42, 42, w - 3]', '[45, 15, 3*w + 3]', '[45, 15, 3*w + 12]', '[47, 47, -w - 2]', '[47, 47, w - 2]', '[48, 12, 4*w]', '[49, 7, 7]', '[49, 49, w + 10]', '[49, 49, -w + 10]', '[50, 10, -5*w + 35]', '[50, 50, -w - 1]', '[50, 50, -w + 1]', '[51, 51, w]', '[52, 26, 2*w - 16]', '[52, 26, 2*w + 16]', '[54, 18, 3*w + 9]', '[56, 28, 2*w + 6]', '[56, 28, 2*w + 22]', '[58, 58, w + 15]', '[58, 58, w + 43]', '[59, 59, 3*w - 20]', '[59, 59, 10*w - 71]', '[60, 30, -2*w - 12]', '[60, 30, -2*w + 12]', '[62, 62, w + 19]', '[62, 62, w + 43]', '[63, 21, 3*w + 9]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[65, 65, w + 21]', '[65, 65, w + 31]', '[65, 65, w + 34]', '[65, 65, w + 44]', '[68, 34, 2*w]', '[70, 70, -w - 11]', '[70, 70, -3*w - 23]', '[70, 70, 3*w - 23]', '[70, 70, w - 11]', '[72, 12, -6*w + 42]', '[75, 15, 5*w]', '[75, 75, w + 24]', '[75, 75, w + 51]', '[78, 78, w + 21]', '[78, 78, w + 57]', '[79, 79, w + 29]', '[79, 79, w + 50]', '[80, 20, 4*w + 4]', '[80, 20, 4*w + 16]', '[81, 9, 9]', '[82, 82, w + 25]', '[82, 82, w + 57]', '[83, 83, 2*w - 11]', '[83, 83, -2*w - 11]', '[84, 42, 4*w - 30]', '[84, 42, -4*w - 30]', '[85, 85, 2*w - 17]', '[85, 85, -2*w - 17]', '[87, 87, 4*w - 27]', '[87, 87, 11*w - 78]', '[90, 30, 3*w + 3]', '[90, 30, 3*w + 27]', '[91, 91, w + 18]', '[91, 91, w + 31]', '[91, 91, w + 60]', '[91, 91, w + 73]', '[93, 93, w + 12]', '[93, 93, -w + 12]', '[94, 94, 9*w - 65]', '[94, 94, -5*w + 37]', '[96, 24, 4*w + 12]', '[98, 14, -7*w + 49]', '[98, 98, -3*w - 19]', '[98, 98, -3*w + 19]', '[100, 10, 10]', '[100, 50, -6*w + 44]', '[100, 50, 6*w + 44]', '[102, 102, 7*w - 51]', '[104, 52, 2*w + 10]', '[104, 52, -2*w + 10]', '[105, 105, w + 24]', '[105, 105, w + 39]', '[105, 105, w + 66]', '[105, 105, w + 81]', '[108, 18, 6*w]', '[112, 28, 4*w + 12]', '[112, 28, 4*w + 16]', '[113, 113, w + 27]', '[113, 113, w + 86]', '[116, 58, 2*w + 28]', '[116, 58, 2*w + 30]', '[117, 39, 3*w - 24]', '[117, 39, 3*w + 24]', '[118, 118, -w - 13]', '[118, 118, w - 13]', '[119, 119, -5*w + 34]', '[119, 119, -5*w - 34]', '[120, 60, 2*w + 18]', '[120, 60, -2*w + 18]', '[121, 11, -11]', '[123, 123, 2*w - 9]', '[123, 123, -2*w - 9]', '[124, 62, 2*w + 24]', '[124, 62, 2*w + 38]', '[125, 25, 5*w + 5]', '[125, 25, 5*w + 20]', '[125, 125, w + 26]', '[125, 125, w + 99]', '[126, 42, 3*w + 9]', '[126, 42, 3*w + 33]', '[128, 16, -8*w + 56]', '[130, 130, w + 21]', '[130, 130, w + 31]', '[130, 130, w + 99]', '[130, 130, w + 109]', '[135, 45, -3*w - 18]', '[135, 45, -3*w + 18]', '[136, 68, 2*w + 34]', '[139, 139, w + 32]', '[139, 139, w + 107]', '[140, 70, 2*w + 8]', '[140, 70, 4*w - 26]', '[140, 70, 4*w + 26]', '[140, 70, 2*w - 8]', '[141, 141, w + 45]', '[141, 141, w + 96]', '[144, 12, 12]', '[145, 145, -w - 14]', '[145, 145, -4*w - 31]', '[145, 145, 4*w - 31]', '[145, 145, w - 14]', '[147, 21, 7*w]', '[147, 147, w + 39]', '[147, 147, w + 108]', '[150, 30, 5*w + 15]', '[150, 150, w + 51]', '[150, 150, w + 99]', '[153, 51, 3*w]', '[155, 155, -6*w + 41]', '[155, 155, -2*w + 7]', '[155, 155, -2*w - 7]', '[155, 155, -6*w - 41]', '[156, 78, 2*w + 36]', '[156, 78, 2*w + 42]', '[157, 157, 2*w - 19]', '[157, 157, -2*w - 19]', '[158, 158, w + 29]', '[158, 158, w + 129]', '[160, 40, 4*w + 4]', '[160, 40, 4*w + 36]', '[162, 18, -9*w + 63]', '[163, 163, w + 41]', '[163, 163, w + 122]', '[164, 82, 2*w + 32]', '[164, 82, 2*w + 50]', '[166, 166, -3*w + 25]', '[166, 166, 25*w - 179]', '[168, 84, 2*w + 6]', '[168, 84, 2*w - 6]', '[169, 13, 13]', '[169, 169, -5*w + 38]', '[169, 169, 5*w + 38]', '[170, 170, 3*w - 17]', '[170, 170, 3*w + 17]', '[173, 173, w + 33]', '[173, 173, w + 140]', '[174, 174, -w - 15]', '[174, 174, w - 15]', '[175, 35, 5*w + 15]', '[175, 35, 5*w + 20]', '[175, 175, w + 24]', '[175, 175, w + 74]', '[175, 175, w + 101]', '[175, 175, w + 151]', '[177, 177, w + 72]', '[177, 177, w + 105]', '[179, 179, 2*w - 5]', '[179, 179, -2*w - 5]', '[180, 30, 6*w + 6]', '[180, 30, 6*w + 24]', '[182, 182, w + 31]', '[182, 182, w + 73]', '[182, 182, w + 109]', '[182, 182, w + 151]', '[186, 186, -19*w + 135]', '[186, 186, -5*w + 33]', '[188, 94, -2*w - 4]', '[188, 94, 2*w - 4]', '[189, 63, 6*w - 45]', '[189, 63, -6*w - 45]', '[191, 191, 25*w - 178]', '[191, 191, 4*w - 25]', '[192, 24, 8*w]', '[195, 195, -7*w + 48]', '[195, 195, 2*w - 3]', '[195, 195, -2*w - 3]', '[195, 195, 7*w + 48]', '[196, 14, 14]', '[196, 98, 2*w + 20]', '[196, 98, -2*w + 20]', '[197, 197, w + 53]', '[197, 197, w + 144]', '[199, 199, w + 38]', '[199, 199, w + 161]', '[200, 20, -10*w + 70]', '[200, 100, -2*w - 2]', '[200, 100, -2*w + 2]', '[203, 203, -3*w - 16]', '[203, 203, -2*w + 1]', '[203, 203, -2*w - 1]', '[203, 203, -3*w + 16]', '[204, 102, 2*w]', '[205, 205, -w - 16]', '[205, 205, 7*w + 52]', '[205, 205, 7*w - 52]', '[205, 205, -w + 16]', '[208, 52, 4*w - 32]', '[208, 52, 4*w + 32]', '[210, 210, w + 39]', '[210, 210, w + 81]', '[210, 210, w + 129]', '[210, 210, w + 171]', '[211, 211, w + 85]', '[211, 211, w + 126]', '[216, 36, 6*w + 18]', '[217, 217, -13*w - 94]', '[217, 217, -3*w - 26]', '[217, 217, 3*w - 26]', '[217, 217, 13*w - 94]', '[221, 221, w + 34]', '[221, 221, w + 187]', '[224, 56, 4*w + 12]', '[224, 56, 4*w + 44]', '[225, 15, 15]', '[225, 75, -9*w + 66]', '[225, 75, 9*w + 66]', '[226, 226, w + 27]', '[226, 226, w + 199]', '[229, 229, 11*w - 80]', '[229, 229, -10*w + 73]', '[232, 116, 2*w + 30]', '[232, 116, 2*w + 86]', '[233, 233, w + 98]', '[233, 233, w + 135]', '[234, 78, 3*w + 15]', '[234, 78, -3*w + 15]', '[235, 235, w + 49]', '[235, 235, w + 96]', '[235, 235, w + 139]', '[235, 235, w + 186]', '[236, 118, 6*w - 40]', '[236, 118, 20*w - 142]', '[237, 237, 2*w - 21]', '[237, 237, -2*w - 21]', '[238, 238, w + 17]', '[238, 238, -w + 17]', '[239, 239, 8*w - 55]', '[239, 239, 15*w - 106]', '[240, 60, -4*w - 24]', '[240, 60, -4*w + 24]', '[242, 22, 11*w - 77]', '[243, 27, 9*w]', '[245, 35, 7*w + 7]', '[245, 35, 7*w + 28]', '[245, 245, w + 39]', '[245, 245, w + 59]', '[245, 245, w + 186]', '[245, 245, w + 206]', '[246, 246, 23*w - 165]', '[246, 246, -5*w + 39]', '[248, 124, 2*w + 38]', '[248, 124, 2*w + 86]', '[249, 249, w + 36]', '[249, 249, w + 213]', '[250, 50, 5*w + 5]', '[250, 50, 5*w + 45]', '[250, 250, w + 99]', '[250, 250, w + 151]', '[251, 251, 5*w - 32]', '[251, 251, 26*w - 185]', '[252, 42, 6*w + 18]', '[252, 42, 6*w + 24]', '[255, 255, w + 51]', '[255, 255, w + 204]', '[256, 16, 16]', '[260, 130, 2*w + 42]', '[260, 130, 2*w + 62]', '[260, 130, 2*w + 68]', '[260, 130, 2*w + 88]', '[261, 87, 3*w + 42]', '[261, 87, 3*w + 45]', '[263, 263, 3*w - 14]', '[263, 263, -3*w - 14]', '[269, 269, w + 68]', '[269, 269, w + 201]', '[270, 90, 3*w + 27]', '[270, 90, -3*w + 27]', '[272, 68, 4*w]', '[273, 273, w + 18]', '[273, 273, 4*w - 33]', '[273, 273, 4*w + 33]', '[273, 273, w - 18]', '[278, 278, w + 107]', '[278, 278, w + 171]', '[279, 93, 3*w + 36]', '[279, 93, 3*w + 57]', '[280, 140, -2*w - 22]', '[280, 140, -6*w - 46]', '[280, 140, 6*w - 46]', '[280, 140, 2*w - 22]', '[282, 282, w + 45]', '[282, 282, w + 237]', '[283, 283, w + 30]', '[283, 283, w + 253]', '[287, 287, 16*w + 113]', '[287, 287, 4*w - 23]', '[287, 287, -4*w - 23]', '[287, 287, -16*w + 113]', '[288, 24, -12*w + 84]', '[289, 17, 17]', '[290, 290, 3*w + 13]', '[290, 290, 7*w + 47]', '[290, 290, 7*w - 47]', '[290, 290, 3*w - 13]', '[294, 42, 7*w + 21]', '[294, 294, w + 39]', '[294, 294, w + 255]', '[295, 295, w + 46]', '[295, 295, w + 131]', '[295, 295, w + 164]', '[295, 295, w + 249]', '[300, 30, 10*w]', '[300, 150, 2*w + 48]', '[300, 150, 2*w + 102]', '[306, 102, 3*w + 51]', '[310, 310, w + 19]', '[310, 310, -7*w + 53]', '[310, 310, 7*w + 53]', '[310, 310, -w + 19]', '[312, 156, 2*w + 42]', '[312, 156, 2*w + 114]', '[314, 314, 33*w - 235]', '[314, 314, 5*w - 31]', '[315, 105, 3*w + 12]', '[315, 105, 6*w - 39]', '[315, 105, 6*w + 39]', '[315, 105, 3*w - 12]', '[316, 158, 2*w + 58]', '[316, 158, 2*w + 100]', '[317, 317, w + 67]', '[317, 317, w + 250]', '[320, 40, 8*w + 8]', '[320, 40, 8*w + 32]', '[324, 18, 18]', '[325, 65, 5*w - 40]', '[325, 65, 5*w + 40]', '[325, 325, -3*w + 28]', '[325, 325, -2*w + 23]', '[325, 325, -2*w - 23]', '[325, 325, -3*w - 28]', '[326, 326, w + 41]', '[326, 326, w + 285]', '[328, 164, 2*w + 50]', '[328, 164, 2*w + 114]', '[329, 329, w + 45]', '[329, 329, w + 143]', '[329, 329, w + 186]', '[329, 329, w + 284]', '[332, 166, 4*w - 22]', '[332, 166, -4*w - 22]', '[336, 84, 8*w - 60]', '[336, 84, -8*w - 60]', '[338, 26, 13*w - 91]', '[338, 338, -3*w + 11]', '[338, 338, -3*w - 11]', '[339, 339, 10*w - 69]', '[339, 339, 17*w - 120]', '[340, 170, 4*w - 34]', '[340, 170, -4*w - 34]', '[343, 49, 7*w + 21]', '[343, 49, 7*w + 28]', '[343, 343, w + 59]', '[343, 343, w + 284]', '[346, 346, w + 33]', '[346, 346, w + 313]', '[348, 174, 8*w - 54]', '[348, 174, 22*w - 156]', '[349, 349, -w - 20]', '[349, 349, w - 20]', '[350, 70, 5*w + 15]', '[350, 70, 5*w + 55]', '[350, 350, w + 101]', '[350, 350, w + 151]', '[350, 350, w + 199]', '[350, 350, w + 249]', '[351, 117, 3*w + 54]', '[351, 117, 3*w + 63]', '[354, 354, w + 105]', '[354, 354, w + 249]', '[357, 357, w + 102]', '[357, 357, w + 255]', '[358, 358, 19*w - 137]', '[358, 358, -9*w + 67]', '[359, 359, -3*w - 10]', '[359, 359, 3*w - 10]', '[360, 60, 6*w + 6]', '[360, 60, 6*w + 54]', '[361, 19, -19]', '[363, 33, 11*w]', '[364, 182, 2*w + 36]', '[364, 182, 2*w + 62]', '[364, 182, 2*w + 120]', '[364, 182, 2*w + 146]', '[367, 367, w + 61]', '[367, 367, w + 306]', '[369, 123, 3*w + 48]', '[369, 123, 3*w + 75]', '[372, 186, 2*w + 24]', '[372, 186, -2*w + 24]', '[373, 373, 29*w - 208]', '[373, 373, -6*w + 47]', '[375, 75, -5*w - 30]', '[375, 75, -5*w + 30]', '[375, 375, -4*w - 21]', '[375, 375, -4*w + 21]', '[376, 188, 18*w - 130]', '[376, 188, -10*w + 74]', '[377, 377, w + 44]', '[377, 377, w + 73]', '[377, 377, w + 304]', '[377, 377, w + 333]', '[378, 126, 3*w + 9]', '[378, 126, 3*w - 9]', '[379, 379, w + 52]', '[379, 379, w + 327]', '[382, 382, -3*w - 29]', '[382, 382, 3*w - 29]', '[383, 383, 28*w - 199]', '[383, 383, 7*w - 46]', '[384, 48, 8*w + 24]', '[390, 390, w + 21]', '[390, 390, -11*w + 81]', '[390, 390, -11*w - 81]', '[390, 390, w - 21]', '[392, 28, -14*w + 98]', '[392, 196, -6*w - 38]', '[392, 196, -6*w + 38]', '[394, 394, w + 53]', '[394, 394, w + 341]', '[395, 395, 11*w - 76]', '[395, 395, 3*w - 8]', '[395, 395, 3*w + 8]', '[395, 395, 18*w - 127]', '[398, 398, w + 161]', '[398, 398, w + 237]', '[400, 20, 20]', '[400, 100, -12*w + 88]', '[400, 100, 12*w + 88]', '[401, 401, w + 177]', '[401, 401, w + 224]', '[403, 403, w + 112]', '[403, 403, w + 174]', '[403, 403, w + 229]', '[403, 403, w + 291]', '[405, 45, 9*w + 9]', '[405, 45, 9*w + 36]', '[406, 406, -5*w + 41]', '[406, 406, -15*w + 109]', '[406, 406, 15*w + 109]', '[406, 406, 5*w + 41]', '[408, 204, 14*w - 102]', '[409, 409, -4*w - 35]', '[409, 409, 4*w - 35]', '[410, 410, 3*w + 7]', '[410, 410, -9*w - 61]', '[410, 410, 9*w - 61]', '[410, 410, -3*w + 7]', '[413, 413, w + 46]', '[413, 413, w + 164]', '[413, 413, w + 249]', '[413, 413, w + 367]', '[415, 415, w + 36]', '[415, 415, w + 119]', '[415, 415, w + 296]', '[415, 415, w + 379]', '[416, 104, 4*w + 20]', '[416, 104, -4*w + 20]', '[417, 417, 7*w - 54]', '[417, 417, 7*w + 54]', '[420, 210, 2*w + 48]', '[420, 210, 2*w + 78]', '[420, 210, 2*w + 132]', '[420, 210, 2*w + 162]', '[421, 421, 2*w - 25]', '[421, 421, -2*w - 25]', '[422, 422, w + 85]', '[422, 422, w + 337]', '[423, 141, -3*w - 6]', '[423, 141, 3*w - 6]', '[425, 85, 5*w]', '[425, 425, w + 51]', '[425, 425, w + 374]', '[432, 36, 12*w]', '[433, 433, -w - 22]', '[433, 433, w - 22]', '[434, 434, 5*w - 29]', '[434, 434, 3*w - 5]', '[434, 434, 3*w + 5]', '[434, 434, 5*w + 29]', '[435, 435, w + 159]', '[435, 435, w + 189]', '[435, 435, w + 246]', '[435, 435, w + 276]', '[439, 439, w + 200]', '[439, 439, w + 239]', '[441, 21, 21]', '[441, 147, 3*w + 30]', '[441, 147, -3*w + 30]', '[442, 442, w + 187]', '[442, 442, w + 255]', '[443, 443, -3*w - 4]', '[443, 443, 3*w - 4]', '[448, 56, 8*w + 24]', '[448, 56, 8*w + 32]', '[449, 449, w + 167]', '[449, 449, w + 282]', '[450, 30, -15*w + 105]', '[450, 150, -3*w - 3]', '[450, 150, -3*w + 3]', '[452, 226, 2*w + 54]', '[452, 226, 2*w + 172]', '[455, 455, -12*w + 83]', '[455, 455, -4*w + 19]', '[455, 455, 3*w - 2]', '[455, 455, 8*w - 53]', '[455, 455, -8*w - 53]', '[455, 455, -3*w - 2]', '[455, 455, 4*w + 19]', '[455, 455, 12*w + 83]', '[457, 457, 27*w - 194]', '[457, 457, -8*w + 61]', '[458, 458, -3*w - 1]', '[458, 458, 3*w - 1]', '[459, 153, 3*w]', '[464, 116, 4*w + 56]', '[464, 116, 4*w + 60]', '[465, 465, w + 81]', '[465, 465, w + 174]', '[465, 465, w + 291]', '[465, 465, w + 384]', '[466, 466, w + 135]', '[466, 466, w + 331]', '[467, 467, 41*w - 292]', '[467, 467, 6*w - 37]', '[468, 78, 6*w - 48]', '[468, 78, 6*w + 48]', '[470, 470, w + 49]', '[470, 470, w + 139]', '[470, 470, w + 331]', '[470, 470, w + 421]', '[471, 471, w + 69]', '[471, 471, w + 402]', '[472, 236, -2*w - 26]', '[472, 236, 2*w - 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180]', '[9910, 9910, 27*w - 217]', '[9910, 9910, -17*w - 157]', '[9910, 9910, -17*w + 157]', '[9910, 9910, 27*w + 217]', '[9912, 4956, 82*w + 594]', '[9912, 4956, 22*w + 186]', '[9912, 4956, -22*w + 186]', '[9912, 4956, -82*w + 594]', '[9915, 9915, 74*w + 519]', '[9915, 9915, 14*w - 9]', '[9915, 9915, 14*w + 9]', '[9915, 9915, 74*w - 519]', '[9917, 9917, w + 2869]', '[9917, 9917, w + 4557]', '[9917, 9917, w + 5360]', '[9917, 9917, w + 7048]', '[9920, 1240, -48*w + 328]', '[9920, 1240, -16*w + 56]', '[9920, 1240, -16*w - 56]', '[9920, 1240, -48*w - 328]', '[9922, 902, 11*w + 275]', '[9922, 902, 11*w + 627]', '[9927, 3309, 36*w - 237]', '[9927, 3309, 141*w - 1002]', '[9931, 9931, w + 1875]', '[9931, 9931, w + 8056]', '[9932, 4966, 14*w + 8]', '[9932, 4966, 44*w - 298]', '[9932, 4966, -44*w - 298]', '[9932, 4966, -14*w + 8]', '[9939, 9939, w + 3255]', '[9939, 9939, w + 6684]', '[9942, 9942, w + 537]', '[9942, 9942, w + 9405]', '[9945, 3315, -3*w - 102]', '[9945, 3315, 48*w - 357]', '[9945, 3315, 48*w + 357]', '[9945, 3315, -3*w + 102]', '[9947, 1421, -21*w - 112]', '[9947, 1421, -14*w + 7]', '[9947, 1421, -14*w - 7]', '[9947, 1421, -21*w + 112]', '[9947, 9947, -46*w - 313]', '[9947, 9947, -19*w - 92]', '[9947, 9947, -19*w + 92]', '[9947, 9947, -46*w + 313]', '[9948, 4974, 2*w + 1176]', '[9948, 4974, 2*w + 3798]', '[9949, 9949, -w - 100]', '[9949, 9949, w - 100]', '[9950, 1990, 5*w + 805]', '[9950, 1990, 5*w + 1185]', '[9950, 9950, w + 2151]', '[9950, 9950, w + 2549]', '[9950, 9950, w + 7401]', '[9950, 9950, w + 7799]', '[9954, 3318, -27*w - 165]', '[9954, 3318, -15*w - 39]', '[9954, 3318, -15*w + 39]', '[9954, 3318, -27*w + 165]', '[9958, 9958, -59*w + 433]', '[9958, 9958, -11*w + 127]', '[9958, 9958, -11*w - 127]', '[9958, 9958, -59*w - 433]', '[9960, 4980, -14*w + 6]', '[9960, 4980, -58*w - 402]', '[9960, 4980, 58*w - 402]', '[9960, 4980, 14*w + 6]', '[9961, 9961, 5*w - 106]', '[9961, 9961, -8*w + 115]', '[9961, 9961, -8*w - 115]', '[9961, 9961, 5*w + 106]', '[9963, 1107, 18*w - 81]', '[9963, 1107, -18*w - 81]', '[9965, 9965, w + 3501]', '[9965, 9965, w + 4471]', '[9965, 9965, w + 5494]', '[9965, 9965, w + 6464]', '[9967, 9967, w + 2822]', '[9967, 9967, w + 7145]', '[9969, 9969, w + 1347]', '[9969, 9969, w + 8622]', '[9971, 767, -39*w + 260]', '[9971, 767, -130*w + 923]', '[9971, 9971, 14*w + 5]', '[9971, 9971, 25*w + 148]', '[9971, 9971, 25*w - 148]', '[9971, 9971, 14*w - 5]', '[9974, 9974, w + 1887]', '[9974, 9974, w + 8087]', '[9978, 9978, -17*w - 69]', '[9978, 9978, -17*w + 69]', '[9979, 9979, w + 1139]', '[9979, 9979, w + 8840]', '[9980, 4990, 64*w - 446]', '[9980, 4990, 14*w - 4]', '[9980, 4990, -14*w - 4]', '[9980, 4990, -64*w - 446]', '[9984, 624, 16*w + 288]', '[9984, 624, 16*w + 336]', '[9987, 9987, -14*w - 3]', '[9987, 9987, 14*w - 3]', '[9989, 9989, w + 640]', '[9989, 9989, w + 787]', '[9989, 9989, w + 9202]', '[9989, 9989, w + 9349]', '[9992, 4996, -14*w - 2]', '[9992, 4996, 14*w - 2]', '[9995, 9995, -14*w - 1]', '[9995, 9995, 61*w + 424]', '[9995, 9995, -61*w + 424]', '[9995, 9995, 14*w - 1]', '[9996, 714, 14*w]', '[9996, 4998, 20*w + 102]', '[9996, 4998, 20*w - 102]', '[9997, 9997, 33*w - 256]', '[9997, 9997, -2*w + 101]', '[9997, 9997, 2*w + 101]', '[9997, 9997, -33*w - 256]', '[10000, 100, 100]', '[10000, 500, -60*w + 440]', '[10000, 500, 60*w + 440]', '[10000, 2500, 4*w + 104]', '[10000, 2500, -4*w + 104]'], 'label': '2.2.204.1', 'narrow_class_no': 4, 'primes': ['[2, 2, -w + 7]', '[3, 3, w]', '[5, 5, w + 1]', '[5, 5, w + 4]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[13, 13, w - 8]', '[13, 13, w + 8]', '[17, 17, w]', '[29, 29, w + 14]', '[29, 29, w + 15]', '[31, 31, w + 12]', '[31, 31, w + 19]', '[41, 41, w + 16]', '[41, 41, w + 25]', '[47, 47, -w - 2]', '[47, 47, w - 2]', '[59, 59, 3*w - 20]', '[59, 59, 10*w - 71]', '[79, 79, w + 29]', '[79, 79, w + 50]', '[83, 83, 2*w - 11]', '[83, 83, -2*w - 11]', '[113, 113, w + 27]', '[113, 113, w + 86]', '[121, 11, -11]', '[139, 139, w + 32]', '[139, 139, w + 107]', '[157, 157, 2*w - 19]', '[157, 157, -2*w - 19]', '[163, 163, w + 41]', '[163, 163, w + 122]', '[173, 173, w + 33]', '[173, 173, w + 140]', '[179, 179, 2*w - 5]', '[179, 179, -2*w - 5]', '[191, 191, 25*w - 178]', '[191, 191, 4*w - 25]', '[197, 197, w + 53]', '[197, 197, w + 144]', '[199, 199, w + 38]', '[199, 199, w + 161]', '[211, 211, w + 85]', '[211, 211, w + 126]', '[229, 229, 11*w - 80]', '[229, 229, -10*w + 73]', '[233, 233, w + 98]', '[233, 233, w + 135]', '[239, 239, 8*w - 55]', '[239, 239, 15*w - 106]', '[251, 251, 5*w - 32]', '[251, 251, 26*w - 185]', '[263, 263, 3*w - 14]', '[263, 263, -3*w - 14]', '[269, 269, w + 68]', '[269, 269, w + 201]', '[283, 283, w + 30]', '[283, 283, w + 253]', '[317, 317, w + 67]', '[317, 317, w + 250]', '[349, 349, -w - 20]', '[349, 349, w - 20]', '[359, 359, -3*w - 10]', '[359, 359, 3*w - 10]', '[361, 19, -19]', '[367, 367, w + 61]', '[367, 367, w + 306]', '[373, 373, 29*w - 208]', '[373, 373, -6*w + 47]', '[379, 379, w + 52]', '[379, 379, w + 327]', '[383, 383, 28*w - 199]', '[383, 383, 7*w - 46]', '[401, 401, w + 177]', '[401, 401, w + 224]', '[409, 409, -4*w - 35]', '[409, 409, 4*w - 35]', '[421, 421, 2*w - 25]', '[421, 421, -2*w - 25]', '[433, 433, -w - 22]', '[433, 433, w - 22]', '[439, 439, w + 200]', '[439, 439, w + 239]', '[443, 443, -3*w - 4]', '[443, 443, 3*w - 4]', '[449, 449, w + 167]', '[449, 449, w + 282]', '[457, 457, 27*w - 194]', '[457, 457, -8*w + 61]', '[467, 467, 41*w - 292]', '[467, 467, 6*w - 37]', '[487, 487, w + 138]', '[487, 487, w + 349]', '[491, 491, -5*w - 28]', '[491, 491, 5*w - 28]', '[499, 499, w + 71]', '[499, 499, w + 428]', '[521, 521, w + 234]', '[521, 521, w + 287]', '[529, 23, -23]', '[547, 547, w + 208]', '[547, 547, w + 339]', '[563, 563, 7*w - 44]', '[563, 563, 42*w - 299]', '[571, 571, w + 42]', '[571, 571, w + 529]', '[577, 577, -12*w + 89]', '[577, 577, 23*w - 166]', '[587, 587, 14*w - 97]', '[587, 587, 21*w - 148]', '[599, 599, -5*w - 26]', '[599, 599, 5*w - 26]', '[607, 607, w + 281]', '[607, 607, w + 326]', '[613, 613, -14*w + 103]', '[613, 613, 21*w - 152]', '[617, 617, w + 56]', '[617, 617, w + 561]', '[619, 619, w + 79]', '[619, 619, w + 540]', '[641, 641, w + 95]', '[641, 641, w + 546]', '[643, 643, w + 242]', '[643, 643, w + 401]', '[647, 647, -4*w - 13]', '[647, 647, 4*w - 13]', '[653, 653, w + 63]', '[653, 653, w + 590]', '[659, 659, 15*w - 104]', '[659, 659, 22*w - 155]', '[661, 661, -5*w - 44]', '[661, 661, 5*w - 44]', '[677, 677, w + 205]', '[677, 677, w + 472]', '[691, 691, w + 310]', '[691, 691, w + 381]', '[733, 733, -w - 28]', '[733, 733, w - 28]', '[751, 751, w + 48]', '[751, 751, w + 703]', '[757, 757, 2*w - 31]', '[757, 757, -2*w - 31]', '[769, 769, -9*w + 70]', '[769, 769, 40*w - 287]', '[787, 787, w + 89]', '[787, 787, w + 698]', '[809, 809, w + 64]', '[809, 809, w + 745]', '[811, 811, w + 217]', '[811, 811, w + 594]', '[821, 821, w + 351]', '[821, 821, w + 470]', '[823, 823, w + 91]', '[823, 823, w + 732]', '[829, 829, -10*w + 77]', '[829, 829, 39*w - 280]', '[857, 857, w + 395]', '[857, 857, w + 462]', '[863, 863, 57*w - 406]', '[863, 863, 8*w - 49]', '[881, 881, w + 160]', '[881, 881, w + 721]', '[907, 907, w + 80]', '[907, 907, w + 827]', '[929, 929, w + 75]', '[929, 929, w + 854]', '[937, 937, 37*w - 266]', '[937, 937, -12*w + 91]', '[941, 941, w + 115]', '[941, 941, w + 826]', '[971, 971, 14*w - 95]', '[971, 971, 35*w - 248]', '[991, 991, w + 359]', '[991, 991, w + 632]']}
• 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': [-51, 0, 1], 'conductor': 204, 'degree': 2, 'dirichlet_group': [1, 203], 'disc_abs': 204, 'disc_rad': 102, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [0]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 14.2828568570857, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.204.1', 'local_algs': ['2.1.2.2a1.2', '3.1.2.1a1.1', '17.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 17], 'rd': 14.2828568571, 'regulator': {'__RealLiteral__': 0, 'data': '4.60507017098', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 7 a - 50 \\)'], 'used_grh': False, 'zk': ['1', 'a']}