Hilbert modular form data - 2.2.217.1-8.3-b

Formats: - HTML - YAML - JSON - 2024-05-21T06:25:02.846706

• 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': 217, 'field_bad_primes': [7, 31], 'field_label': '2.2.217.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.217.1-8.3-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2], 'level_ideal': '[8, 8, -223*w + 1754]', 'level_label': '8.3', 'level_norm': 8, 'parallel_weight': 2, 'short_label': '8.3-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w + 8]', -1]], 'hecke_eigenvalues': [0, -2, -1, 0, 1, -6, 2, 3, 5, 2, -5, -10, 8, 5, -4, -2, 16, 0, -10, -10, 4, 18, -7, 0, -12, 2, -6, 1, 9, -2, 4, -17, -11, -24, -14, 23, 21, -9, 19, -2, -13, 7, -4, 16, 11, 4, -24, -25, 4, 23, -16, -13, 8, 14, 18, 22, 27, 22, 24, 19, -16, 8, 3, -10, 2, -16, -12, 27, 12, -36, -20, 6, -14, -18, 10, 3, -4, -19, -16, 14, 8, -4, -18, -20, -15, -6, 12, 8, -26, -16, -33, 5, 20, 10, 38, 14, -8, 27, -1, -38, -2, 3, 39, -28, -39, 24, -25, -41, 34, -30, -46, -33, -20, 16, 2, -10, 11, -18, 0, -43, -29, -18, -18, 31, -40, -34, 15, -37, 8, 0, 39, -30, -15, 34, -5, -40, 29, -42, -20, -13, -32, 46, 36, -5, -2, 0, 32, -52, -24, -40, 26, -14, -30, -42, 17, 21, 7, -12, -6], 'hecke_polynomial': 'x', 'label': '2.2.217.1-8.3-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 217, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 8]', '[2, 2, w + 7]', '[3, 3, -52*w - 357]', '[3, 3, -52*w + 409]', '[4, 2, 2]', '[4, 4, 15*w + 103]', '[4, 4, -15*w + 118]', '[6, 6, -7*w - 48]', '[6, 6, -275*w - 1888]', '[6, 6, -275*w + 2163]', '[6, 6, -7*w + 55]', '[7, 7, 498*w - 3917]', '[8, 4, -2*w + 16]', '[8, 4, 2*w + 14]', '[8, 8, -223*w + 1754]', '[8, 8, 223*w + 1531]', '[9, 3, 3]', '[9, 9, -8*w + 63]', '[9, 9, 8*w + 55]', '[12, 6, -104*w - 714]', '[12, 6, -104*w + 818]', '[12, 12, -37*w - 254]', '[12, 12, -w + 7]', '[12, 12, -w - 6]', '[12, 12, -37*w + 291]', '[13, 13, 22*w - 173]', '[13, 13, 22*w + 151]', '[14, 14, 67*w - 527]', '[14, 14, -67*w - 460]', '[16, 4, 4]', '[16, 8, 30*w + 206]', '[16, 8, -30*w + 236]', '[16, 16, 171*w + 1174]', '[16, 16, -171*w + 1345]', '[17, 17, -6*w - 41]', '[17, 17, -6*w + 47]', '[18, 6, -3*w + 24]', '[18, 6, 3*w + 21]', '[18, 18, -119*w + 936]', '[18, 18, w + 8]', '[18, 18, -w + 9]', '[18, 18, 119*w + 817]', '[21, 21, 2*w - 15]', '[21, 21, 2*w + 13]', '[24, 12, -14*w - 96]', '[24, 12, -550*w - 3776]', '[24, 12, -550*w + 4326]', '[24, 12, -14*w + 110]', '[24, 24, -5*w - 34]', '[24, 24, -w - 5]', '[24, 24, -w + 6]', '[24, 24, -5*w + 39]', '[25, 5, -5]', '[26, 26, 3*w - 23]', '[26, 26, 327*w + 2245]', '[26, 26, 327*w - 2572]', '[26, 26, 3*w + 20]', '[27, 9, -156*w - 1071]', '[27, 9, -156*w + 1227]', '[27, 27, -4*w - 27]', '[27, 27, -4*w + 31]', '[28, 14, 996*w - 7834]', '[28, 28, -9*w - 62]', '[28, 28, 9*w - 71]', '[31, 31, 1048*w - 8243]', '[32, 8, -4*w + 32]', '[32, 8, 4*w + 28]', '[32, 16, -446*w + 3508]', '[32, 16, 446*w + 3062]', '[32, 32, -23*w + 181]', '[32, 32, 23*w + 158]', '[34, 34, -w - 4]', '[34, 34, -89*w + 700]', '[34, 34, -89*w - 611]', '[34, 34, -w + 5]', '[36, 6, 6]', '[36, 12, 45*w + 309]', '[36, 12, -45*w + 354]', '[36, 18, -16*w + 126]', '[36, 18, 16*w + 110]', '[36, 36, w + 9]', '[36, 36, -721*w + 5671]', '[36, 36, 721*w + 4950]', '[36, 36, -w + 10]', '[39, 39, 2*w - 17]', '[39, 39, -82*w - 563]', '[39, 39, 82*w - 645]', '[39, 39, -2*w - 15]', '[42, 42, w + 3]', '[42, 42, 29*w + 199]', '[42, 42, 29*w - 228]', '[42, 42, w - 4]', '[48, 12, -208*w - 1428]', '[48, 12, -208*w + 1636]', '[48, 24, -74*w - 508]', '[48, 24, -2*w + 14]', '[48, 24, -2*w - 12]', '[48, 24, -74*w + 582]', '[48, 48, -w - 2]', '[48, 48, -13*w + 102]', '[48, 48, -13*w - 89]', '[48, 48, -w + 3]', '[49, 7, 7]', '[50, 10, 5*w - 40]', '[50, 10, -5*w - 35]', '[51, 51, 10*w + 69]', '[51, 51, -394*w + 3099]', '[51, 51, 394*w + 2705]', '[51, 51, -10*w + 79]', '[52, 26, 44*w - 346]', '[52, 26, 44*w + 302]', '[52, 52, w + 1]', '[52, 52, 379*w + 2602]', '[52, 52, 379*w - 2981]', '[52, 52, w - 2]', '[54, 18, -21*w - 144]', '[54, 18, -825*w - 5664]', '[54, 18, -825*w + 6489]', '[54, 18, -21*w + 165]', '[54, 54, -w]', '[54, 54, -59*w + 464]', '[54, 54, -59*w - 405]', '[54, 54, -w + 1]', '[56, 28, 134*w - 1054]', '[56, 28, -134*w - 920]', '[56, 56, -w - 10]', '[56, 56, w - 11]', '[61, 61, 602*w - 4735]', '[61, 61, 602*w + 4133]', '[62, 62, 141*w - 1109]', '[62, 62, 141*w + 968]', '[63, 21, 1494*w - 11751]', '[63, 63, 38*w - 299]', '[63, 63, -38*w - 261]', '[64, 8, 8]', '[64, 16, 60*w + 412]', '[64, 16, -60*w + 472]', '[64, 32, 342*w + 2348]', '[64, 32, -342*w + 2690]', '[64, 64, -3*w + 25]', '[64, 64, 3*w + 22]', '[67, 67, -186*w - 1277]', '[67, 67, -186*w + 1463]', '[68, 34, -12*w - 82]', '[68, 34, -12*w + 94]', '[68, 68, -1323*w - 9083]', '[68, 68, -3*w - 19]', '[68, 68, -3*w + 22]', '[68, 68, -1323*w + 10406]', '[71, 71, 290*w - 2281]', '[71, 71, 290*w + 1991]', '[72, 12, -6*w + 48]', '[72, 12, 6*w + 42]', '[72, 24, -669*w + 5262]', '[72, 24, 669*w + 4593]', '[72, 36, -238*w + 1872]', '[72, 36, 2*w + 16]', '[72, 36, -2*w + 18]', '[72, 36, 238*w + 1634]', '[72, 72, 97*w + 666]', '[72, 72, -17*w + 134]', '[72, 72, 17*w + 117]', '[72, 72, -97*w + 763]', '[73, 73, 2*w - 13]', '[73, 73, -2*w - 11]', '[75, 15, 260*w + 1785]', '[75, 15, 260*w - 2045]', '[78, 78, -w - 11]', '[78, 78, -11*w - 76]', '[78, 78, 1219*w - 9588]', '[78, 78, -31*w - 213]', '[78, 78, 31*w - 244]', '[78, 78, -1219*w - 8369]', '[78, 78, 11*w - 87]', '[78, 78, w - 12]', '[81, 9, 9]', '[81, 27, -24*w + 189]', '[81, 27, 24*w + 165]', '[81, 81, 944*w + 6481]', '[81, 81, -944*w + 7425]', '[83, 83, -36*w - 247]', '[83, 83, 36*w - 283]', '[84, 42, 4*w - 30]', '[84, 42, 4*w + 26]', '[84, 84, 431*w + 2959]', '[84, 84, 11*w - 86]', '[84, 84, 11*w + 75]', '[84, 84, 431*w - 3390]', '[89, 89, -126*w - 865]', '[89, 89, 126*w - 991]', '[91, 91, -20*w + 157]', '[91, 91, -20*w - 137]', '[93, 93, 4*w - 33]', '[93, 93, -4*w - 29]', '[96, 24, -28*w - 192]', '[96, 24, -1100*w - 7552]', '[96, 24, -1100*w + 8652]', '[96, 24, -28*w + 220]', '[96, 48, -10*w - 68]', '[96, 48, -2*w - 10]', '[96, 48, -2*w + 12]', '[96, 48, -10*w + 78]', '[96, 96, -193*w + 1518]', '[96, 96, -5*w - 33]', '[96, 96, -5*w + 38]', '[96, 96, -193*w - 1325]', '[98, 14, -7*w + 56]', '[98, 14, 7*w + 49]', '[100, 10, 10]', '[100, 20, -75*w - 515]', '[100, 20, 75*w - 590]', '[102, 102, w + 12]', '[102, 102, -53*w + 417]', '[102, 102, -617*w + 4853]', '[102, 102, -149*w + 1172]', '[102, 102, 149*w + 1023]', '[102, 102, 617*w + 4236]', '[102, 102, 53*w + 364]', '[102, 102, -w + 13]', '[104, 52, 6*w - 46]', '[104, 52, 654*w + 4490]', '[104, 52, 654*w - 5144]', '[104, 52, 6*w + 40]', '[104, 104, 51*w - 401]', '[104, 104, 9*w - 70]', '[104, 104, 9*w + 61]', '[104, 104, 51*w + 350]', '[107, 107, 2*w - 19]', '[107, 107, -2*w - 17]', '[108, 18, -312*w - 2142]', '[108, 18, -312*w + 2454]', '[108, 36, -111*w - 762]', '[108, 36, -3*w + 21]', '[108, 36, -3*w - 18]', '[108, 36, -111*w + 873]', '[108, 54, -8*w - 54]', '[108, 54, -8*w + 62]', '[108, 108, -877*w + 6898]', '[108, 108, -7*w - 47]', '[108, 108, -7*w + 54]', '[108, 108, -877*w - 6021]', '[109, 109, -12*w - 83]', '[109, 109, 12*w - 95]', '[112, 28, 1992*w - 15668]', '[112, 56, -18*w - 124]', '[112, 56, 18*w - 142]', '[112, 112, -3*w - 23]', '[112, 112, 3*w - 26]', '[113, 113, -112*w - 769]', '[113, 113, 112*w - 881]', '[117, 39, 66*w - 519]', '[117, 39, 66*w + 453]', '[117, 117, 1598*w + 10971]', '[117, 117, 2*w - 11]', '[117, 117, 2*w + 9]', '[117, 117, 1598*w - 12569]', '[119, 119, 96*w - 755]', '[119, 119, 96*w + 659]', '[121, 11, -11]', '[122, 122, 483*w + 3316]', '[122, 122, 81*w + 556]', '[122, 122, 81*w - 637]', '[122, 122, 483*w - 3799]', '[124, 62, 2096*w - 16486]', '[124, 124, 19*w + 130]', '[124, 124, 19*w - 149]', '[126, 42, 201*w - 1581]', '[126, 42, -201*w - 1380]', '[126, 126, 5*w - 41]', '[126, 126, -565*w - 3879]', '[126, 126, 565*w - 4444]', '[126, 126, -5*w - 36]', '[128, 16, -8*w + 64]', '[128, 16, 8*w + 56]', '[128, 32, -892*w + 7016]', '[128, 32, 892*w + 6124]', '[128, 64, -46*w + 362]', '[128, 64, 46*w + 316]', '[128, 128, w + 13]', '[128, 128, -w + 14]', '[134, 134, 1717*w - 13505]', '[134, 134, -25*w + 197]', '[134, 134, -25*w - 172]', '[134, 134, 1717*w + 11788]', '[136, 68, -2*w - 8]', '[136, 68, -178*w + 1400]', '[136, 68, -178*w - 1222]', '[136, 68, -2*w + 10]', '[136, 136, -245*w + 1927]', '[136, 136, -43*w - 295]', '[136, 136, -43*w + 338]', '[136, 136, -245*w - 1682]', '[139, 139, 4*w + 25]', '[139, 139, -4*w + 29]', '[142, 142, -1167*w - 8012]', '[142, 142, 39*w + 268]', '[142, 142, 39*w - 307]', '[142, 142, -1167*w + 9179]', '[144, 12, 12]', '[144, 24, 90*w + 618]', '[144, 24, -90*w + 708]', '[144, 36, -32*w + 252]', '[144, 36, 32*w + 220]', '[144, 48, 513*w + 3522]', '[144, 48, -513*w + 4035]', '[144, 72, 2*w + 18]', '[144, 72, -1442*w + 11342]', '[144, 72, 1442*w + 9900]', '[144, 72, -2*w + 20]', '[144, 144, 13*w + 90]', '[144, 144, 253*w + 1737]', '[144, 144, -253*w + 1990]', '[144, 144, -13*w + 103]', '[146, 146, 27*w - 212]', '[146, 146, -3*w + 20]', '[146, 146, 3*w + 17]', '[146, 146, -27*w - 185]', '[147, 21, -364*w - 2499]', '[147, 21, -364*w + 2863]', '[149, 149, 68*w - 535]', '[149, 149, -68*w - 467]', '[150, 30, 35*w + 240]', '[150, 30, 1375*w + 9440]', '[150, 30, 1375*w - 10815]', '[150, 30, 35*w - 275]', '[153, 51, -18*w - 123]', '[153, 51, -18*w + 141]', '[153, 153, -706*w + 5553]', '[153, 153, -2*w + 9]', '[153, 153, -2*w - 7]', '[153, 153, -706*w - 4847]', '[156, 78, 4*w - 34]', '[156, 78, -164*w - 1126]', '[156, 78, 164*w - 1290]', '[156, 78, -4*w - 30]', '[156, 156, -w - 14]', '[156, 156, 461*w - 3626]', '[156, 156, 305*w - 2399]', '[156, 156, 19*w - 150]', '[156, 156, -19*w - 131]', '[156, 156, -305*w - 2094]', '[156, 156, -461*w - 3165]', '[156, 156, w - 15]', '[162, 18, -9*w + 72]', '[162, 18, 9*w + 63]', '[162, 54, -357*w + 2808]', '[162, 54, 3*w + 24]', '[162, 54, -3*w + 27]', '[162, 54, 357*w + 2451]', '[162, 162, 127*w + 872]', '[162, 162, 409*w + 2808]', '[162, 162, -409*w + 3217]', '[162, 162, -127*w + 999]', '[163, 163, 6*w - 49]', '[163, 163, -6*w - 43]', '[166, 166, -535*w - 3673]', '[166, 166, 5*w - 37]', '[166, 166, -5*w - 32]', '[166, 166, 535*w - 4208]', '[167, 167, 1152*w - 9061]', '[167, 167, 1152*w + 7909]', '[168, 84, 2*w + 6]', '[168, 84, 58*w + 398]', '[168, 84, 58*w - 456]', '[168, 84, 2*w - 8]', '[168, 168, 163*w + 1119]', '[168, 168, 929*w + 6378]', '[168, 168, 929*w - 7307]', '[168, 168, 163*w - 1282]', '[169, 13, 13]', '[169, 169, -840*w + 6607]', '[169, 169, 840*w + 5767]', '[175, 35, -2490*w + 19585]', '[178, 178, -1873*w - 12859]', '[178, 178, 17*w - 133]', '[178, 178, -17*w - 116]', '[178, 178, 1873*w - 14732]', '[181, 181, 2*w - 7]', '[181, 181, -2*w - 5]', '[182, 182, -297*w + 2336]', '[182, 182, -3*w - 16]', '[182, 182, -3*w + 19]', '[182, 182, -297*w - 2039]', '[183, 183, -14*w - 97]', '[183, 183, 2*w - 21]', '[183, 183, -2*w - 19]', '[183, 183, 14*w - 111]', '[186, 186, -w - 15]', '[186, 186, -61*w - 419]', '[186, 186, 61*w - 480]', '[186, 186, w - 16]', '[189, 63, 6*w - 45]', '[189, 63, 6*w + 39]', '[189, 189, 230*w + 1579]', '[189, 189, 230*w - 1809]', '[191, 191, 26*w + 179]', '[191, 191, 26*w - 205]', '[192, 24, -416*w - 2856]', '[192, 24, -416*w + 3272]', '[192, 48, -148*w - 1016]', '[192, 48, -4*w + 28]', '[192, 48, -4*w - 24]', '[192, 48, -148*w + 1164]', '[192, 96, -2*w - 4]', '[192, 96, -26*w + 204]', '[192, 96, -26*w - 178]', '[192, 96, -2*w + 6]', '[192, 192, -73*w + 574]', '[192, 192, -2371*w + 18649]', '[192, 192, -2371*w - 16278]', '[192, 192, -73*w - 501]', '[193, 193, -216*w + 1699]', '[193, 193, -216*w - 1483]', '[196, 14, 14]', '[196, 28, 105*w + 721]', '[196, 28, -105*w + 826]', '[199, 199, -16*w - 109]', '[199, 199, 16*w - 125]', '[200, 20, 10*w - 80]', '[200, 20, -10*w - 70]', '[200, 40, 1115*w - 8770]', '[200, 40, -1115*w - 7655]', '[201, 201, -50*w - 343]', '[201, 201, 2*w - 5]', '[201, 201, -2*w - 3]', '[201, 201, 50*w - 393]', '[204, 102, 20*w + 138]', '[204, 102, -788*w + 6198]', '[204, 102, 788*w + 5410]', '[204, 102, -20*w + 158]', '[204, 204, -7*w + 57]', '[204, 204, -83*w + 653]', '[204, 204, -2215*w + 17422]', '[204, 204, 5*w + 37]', '[204, 204, -5*w + 42]', '[204, 204, 2215*w + 15207]', '[204, 204, 83*w + 570]', '[204, 204, 7*w + 50]', '[208, 52, 88*w - 692]', '[208, 52, 88*w + 604]', '[208, 104, 2*w + 2]', '[208, 104, 758*w + 5204]', '[208, 104, 758*w - 5962]', '[208, 104, 2*w - 4]', '[208, 208, 133*w - 1046]', '[208, 208, 7*w + 46]', '[208, 208, 7*w - 53]', '[208, 208, 133*w + 913]', '[211, 211, 54*w - 425]', '[211, 211, 54*w + 371]', '[213, 213, -34*w + 267]', '[213, 213, 2*w - 3]', '[213, 213, -2*w - 1]', '[213, 213, 34*w + 233]', '[214, 214, 33*w - 260]', '[214, 214, 3*w - 28]', '[214, 214, -3*w - 25]', '[214, 214, -33*w - 227]', '[216, 36, -42*w - 288]', '[216, 36, -1650*w - 11328]', '[216, 36, -1650*w + 12978]', '[216, 36, -42*w + 330]', '[216, 72, -15*w - 102]', '[216, 72, -3*w - 15]', '[216, 72, -3*w + 18]', '[216, 72, -15*w + 117]', '[216, 108, -2*w]', '[216, 108, -118*w + 928]', '[216, 108, -118*w - 810]', '[216, 108, -2*w + 2]', '[216, 216, -587*w - 4030]', '[216, 216, -103*w - 707]', '[216, 216, -103*w + 810]', '[216, 216, -587*w + 4617]', '[217, 217, -2*w + 1]', '[218, 218, -w - 16]', '[218, 218, 179*w - 1408]', '[218, 218, -179*w - 1229]', '[218, 218, w - 17]', '[219, 219, -142*w - 975]', '[219, 219, 1390*w + 9543]', '[219, 219, 1390*w - 10933]', '[219, 219, -142*w + 1117]', '[221, 221, -4*w - 31]', '[221, 221, -1940*w - 13319]', '[221, 221, 1940*w - 15259]', '[221, 221, 4*w - 35]', '[223, 223, -8*w + 61]', '[223, 223, 8*w + 53]', '[224, 56, 268*w - 2108]', '[224, 56, -268*w - 1840]', '[224, 112, -2*w - 20]', '[224, 112, 2*w - 22]', '[224, 224, -47*w - 323]', '[224, 224, 47*w - 370]', '[225, 15, 15]', '[225, 45, 40*w - 315]', '[225, 45, -40*w - 275]', '[226, 226, -15*w - 104]', '[226, 226, 1665*w - 13096]', '[226, 226, -1665*w - 11431]', '[226, 226, 15*w - 119]', '[229, 229, 14*w - 109]', '[229, 229, -14*w - 95]', '[233, 233, 736*w + 5053]', '[233, 233, 736*w - 5789]', '[234, 78, 9*w - 69]', '[234, 78, 981*w + 6735]', '[234, 78, 981*w - 7716]', '[234, 78, 9*w + 60]', '[234, 234, 349*w - 2745]', '[234, 234, 5*w + 31]', '[234, 234, 25*w + 171]', '[234, 234, 215*w - 1691]', '[234, 234, 215*w + 1476]', '[234, 234, 25*w - 196]', '[234, 234, 5*w - 36]', '[234, 234, 349*w + 2396]', '[238, 238, 1427*w - 11224]', '[238, 238, 13*w + 88]', '[238, 238, 13*w - 101]', '[238, 238, 1427*w + 9797]', '[241, 241, 10*w + 67]', '[241, 241, -10*w + 77]', '[242, 22, 11*w - 88]', '[242, 22, -11*w - 77]', '[243, 27, -468*w - 3213]', '[243, 27, -468*w + 3681]', '[243, 81, -12*w - 81]', '[243, 81, -12*w + 93]', '[243, 243, -4*w + 27]', '[243, 243, -4*w - 23]', '[244, 122, 1204*w - 9470]', '[244, 122, 1204*w + 8266]', '[244, 244, 11*w - 85]', '[244, 244, 65*w - 511]', '[244, 244, 65*w + 446]', '[244, 244, 11*w + 74]', '[248, 124, 282*w - 2218]', '[248, 124, 282*w + 1936]', '[248, 248, 3*w - 17]', '[248, 248, 3*w + 14]', '[249, 249, -8*w + 65]', '[249, 249, -320*w - 2197]', '[249, 249, -320*w + 2517]', '[249, 249, -8*w - 57]', '[251, 251, 2148*w + 14747]', '[251, 251, 2148*w - 16895]', '[252, 42, 2988*w - 23502]', '[252, 84, -27*w - 186]', '[252, 84, 27*w - 213]', '[252, 126, 76*w - 598]', '[252, 126, -76*w - 522]', '[252, 252, -w - 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128789]', '[9869, 9869, 714*w - 5615]', '[9869, 9869, 714*w + 4901]', '[9869, 9869, 16374*w + 112415]', '[9872, 2468, -128*w - 884]', '[9872, 2468, 128*w - 1012]', '[9872, 4936, -38*w - 278]', '[9872, 4936, 14182*w - 111548]', '[9872, 4936, -14182*w - 97366]', '[9872, 4936, 38*w - 316]', '[9872, 9872, -4327*w - 29707]', '[9872, 9872, 223*w - 1757]', '[9872, 9872, -223*w - 1534]', '[9872, 9872, 4327*w - 34034]', '[9873, 3291, 774*w - 6087]', '[9873, 3291, 774*w + 5313]', '[9873, 9873, 11498*w + 78939]', '[9873, 9873, 22*w - 139]', '[9873, 9873, 22*w + 117]', '[9873, 9873, 11498*w - 90437]', '[9874, 9874, 537*w - 4225]', '[9874, 9874, -5895*w + 46367]', '[9874, 9874, -5895*w - 40472]', '[9874, 9874, 537*w + 3688]', '[9877, 9877, 6876*w - 54083]', '[9877, 9877, 12*w + 127]', '[9877, 9877, 12*w - 139]', '[9877, 9877, 6876*w + 47207]', '[9882, 1098, 4347*w + 29844]', '[9882, 1098, 729*w + 5004]', '[9882, 1098, 729*w - 5733]', '[9882, 1098, 4347*w - 34191]', '[9882, 3294, 28653*w - 225369]', '[9882, 3294, 21*w + 108]', '[9882, 3294, 2049*w - 16116]', '[9882, 3294, 111*w - 867]', '[9882, 3294, 111*w + 756]', '[9882, 3294, 2049*w + 14067]', '[9882, 3294, 21*w - 129]', '[9882, 3294, 12219*w - 96108]', '[9882, 9882, 53*w - 404]', '[9882, 9882, 19*w + 89]', '[9882, 9882, 311*w + 2133]', '[9882, 9882, 97*w - 756]', '[9882, 9882, 97*w + 659]', '[9882, 9882, 311*w - 2444]', '[9882, 9882, 19*w - 108]', '[9882, 9882, 53*w + 351]', '[9884, 4942, 4176*w + 28670]', '[9884, 4942, -4176*w + 32846]', '[9884, 9884, -759*w - 5210]', '[9884, 9884, -39*w + 289]', '[9884, 9884, 39*w + 250]', '[9884, 9884, 759*w - 5969]', '[9886, 9886, 399*w - 3140]', '[9886, 9886, 9*w - 124]', '[9886, 9886, -9*w - 115]', '[9886, 9886, -399*w - 2741]', '[9887, 9887, 744*w - 5851]', '[9887, 9887, 744*w + 5107]', '[9893, 9893, -44*w + 361]', '[9893, 9893, -964*w + 7583]', '[9893, 9893, 964*w + 6619]', '[9893, 9893, 44*w + 317]', '[9901, 9901, 9610*w - 75587]', '[9901, 9901, 9610*w + 65977]', '[9904, 2476, 976*w - 7676]', '[9904, 2476, -976*w - 6700]', '[9904, 4952, 3254*w + 22340]', '[9904, 4952, 14*w - 34]', '[9904, 4952, -14*w - 20]', '[9904, 4952, -3254*w + 25594]', '[9904, 9904, 31*w + 190]', '[9904, 9904, 571*w + 3919]', '[9904, 9904, -571*w + 4490]', '[9904, 9904, -31*w + 221]', '[9907, 9907, 54*w - 437]', '[9907, 9907, -54*w - 383]', '[9909, 3303, 60*w - 483]', '[9909, 3303, 2388*w - 18783]', '[9909, 3303, -2388*w - 16395]', '[9909, 3303, -60*w - 423]', '[9909, 9909, 28*w - 243]', '[9909, 9909, 3740*w - 29417]', '[9909, 9909, -3740*w - 25677]', '[9909, 9909, -28*w - 215]', '[9914, 9914, 23*w - 208]', '[9914, 9914, 203*w - 1600]', '[9914, 9914, -203*w - 1397]', '[9914, 9914, -23*w - 185]', '[9919, 9919, 3544*w + 24331]', '[9919, 9919, 16*w + 55]', '[9919, 9919, 16*w - 71]', '[9919, 9919, 3544*w - 27875]', '[9921, 9921, 40*w - 331]', '[9921, 9921, 1616*w + 11095]', '[9921, 9921, 1616*w - 12711]', '[9921, 9921, 40*w + 291]', '[9927, 3309, 6222*w + 42717]', '[9927, 3309, 6222*w - 48939]', '[9927, 9927, -1438*w + 11311]', '[9927, 9927, 158*w - 1247]', '[9927, 9927, 158*w + 1089]', '[9927, 9927, -1438*w - 9873]', '[9928, 4964, -486*w - 3338]', '[9928, 4964, 42*w + 304]', '[9928, 4964, 4758*w - 37424]', '[9928, 4964, 6*w + 106]', '[9928, 4964, 6*w - 112]', '[9928, 4964, 4758*w + 32666]', '[9928, 4964, 42*w - 346]', '[9928, 4964, -486*w + 3824]', '[9928, 9928, 1149*w + 7889]', '[9928, 9928, 6549*w - 51511]', '[9928, 9928, -117*w + 926]', '[9928, 9928, -669*w - 4594]', '[9928, 9928, -669*w + 5263]', '[9928, 9928, -117*w - 809]', '[9928, 9928, 6549*w + 44962]', '[9928, 9928, 1149*w - 9038]', '[9931, 9931, 1580*w - 12427]', '[9931, 9931, 1580*w + 10847]', '[9932, 4966, -20856*w - 143186]', '[9932, 4966, 24*w - 158]', '[9932, 4966, -24*w - 134]', '[9932, 4966, 20856*w - 164042]', '[9932, 9932, -189*w - 1294]', '[9932, 9932, -231*w + 1814]', '[9932, 9932, -153*w + 1199]', '[9932, 9932, -2421*w - 16621]', '[9932, 9932, 2421*w - 19042]', '[9932, 9932, 153*w + 1046]', '[9932, 9932, 231*w + 1583]', '[9932, 9932, 189*w - 1483]', '[9934, 9934, -57*w - 403]', '[9934, 9934, -87*w - 605]', '[9934, 9934, 87*w - 692]', '[9934, 9934, 57*w - 460]', '[9943, 9943, -1088*w - 7469]', '[9943, 9943, 6488*w + 44543]', '[9943, 9943, 6488*w - 51031]', '[9943, 9943, 1088*w - 8557]', '[9946, 9946, -47*w + 355]', '[9946, 9946, 5083*w + 34897]', '[9946, 9946, -5083*w + 39980]', '[9946, 9946, 47*w + 308]', '[9948, 4974, -356*w - 2446]', '[9948, 4974, 4*w - 106]', '[9948, 4974, -4*w - 102]', '[9948, 4974, 356*w - 2802]', '[9948, 9948, -559*w - 3839]', '[9948, 9948, -1001*w - 6873]', '[9948, 9948, -8957*w - 61494]', '[9948, 9948, -11*w - 123]', '[9948, 9948, 11*w - 134]', '[9948, 9948, 8957*w - 70451]', '[9948, 9948, 1001*w - 7874]', '[9948, 9948, 559*w - 4398]', '[9950, 1990, -1185*w - 8135]', '[9950, 1990, 15*w - 55]', '[9950, 1990, -15*w - 40]', '[9950, 1990, 1185*w - 9320]', '[9951, 9951, -10*w - 119]', '[9951, 9951, -134*w - 925]', '[9951, 9951, 134*w - 1059]', '[9951, 9951, 10*w - 129]', '[9957, 9957, -14*w - 19]', '[9957, 9957, 206*w + 1411]', '[9957, 9957, -206*w + 1617]', '[9957, 9957, 14*w - 33]', '[9958, 9958, -2091*w + 16447]', '[9958, 9958, 27*w + 209]', '[9958, 9958, 177*w + 1219]', '[9958, 9958, -1527*w + 12011]', '[9958, 9958, 1527*w + 10484]', '[9958, 9958, -177*w + 1396]', '[9958, 9958, -27*w + 236]', '[9958, 9958, 2091*w + 14356]', '[9961, 9961, 24*w + 191]', '[9961, 9961, 24*w - 215]', '[9968, 2492, 96*w - 748]', '[9968, 2492, -96*w - 652]', '[9968, 4984, 10554*w - 83012]', '[9968, 4984, 54*w + 358]', '[9968, 4984, -54*w + 412]', '[9968, 4984, -33462*w + 263194]', '[9968, 9968, -5871*w + 46178]', '[9968, 9968, -303*w + 2381]', '[9968, 9968, 303*w + 2078]', '[9968, 9968, 5871*w + 40307]', '[9969, 9969, 8080*w + 55473]', '[9969, 9969, -1112*w + 8747]', '[9969, 9969, -1112*w - 7635]', '[9969, 9969, 8080*w - 63553]', '[9973, 9973, 1982*w + 13607]', '[9973, 9973, 1982*w - 15589]', '[9974, 9974, 1431*w - 11255]', '[9974, 9974, 2235*w - 17579]', '[9974, 9974, 2235*w + 15344]', '[9974, 9974, 1431*w + 9824]', '[9978, 9978, 17*w - 84]', '[9978, 9978, 14657*w - 115284]', '[9978, 9978, 133*w + 908]', '[9978, 9978, 373*w - 2932]', '[9978, 9978, 373*w + 2559]', '[9978, 9978, 133*w - 1041]', '[9978, 9978, 14657*w + 100627]', '[9978, 9978, 17*w + 67]', '[9979, 9979, 18*w - 175]', '[9979, 9979, -1038*w - 7127]', '[9979, 9979, -1038*w + 8165]', '[9979, 9979, 18*w + 157]', '[9981, 3327, -20358*w + 160125]', '[9981, 3327, 17370*w - 136623]', '[9981, 9981, 442*w - 3475]', '[9981, 9981, -518*w + 4073]', '[9981, 9981, 518*w + 3555]', '[9981, 9981, -442*w - 3033]', '[9983, 9983, 26*w - 229]', '[9983, 9983, -1898*w - 13031]', '[9983, 9983, -1898*w + 14929]', '[9983, 9983, -26*w - 203]', '[9984, 624, 32*w - 272]', '[9984, 624, -1312*w - 9008]', '[9984, 624, 1312*w - 10320]', '[9984, 624, -32*w - 240]', '[9984, 1248, -8*w - 112]', '[9984, 1248, 3688*w - 29008]', '[9984, 1248, 2440*w - 19192]', '[9984, 1248, 152*w - 1200]', '[9984, 1248, -152*w - 1048]', '[9984, 1248, -2440*w - 16752]', '[9984, 1248, -3688*w - 25320]', '[9984, 1248, 8*w - 120]', '[9984, 2496, -868*w - 5960]', '[9984, 2496, 16828*w - 132360]', '[9984, 2496, -428*w - 2940]', '[9984, 2496, -20*w - 168]', '[9984, 2496, 20*w - 188]', '[9984, 2496, 428*w - 3368]', '[9984, 2496, -16828*w - 115532]', '[9984, 2496, 868*w - 6828]', '[9984, 4992, -2*w - 100]', '[9984, 4992, 7478*w - 58818]', '[9984, 4992, -190*w - 1308]', '[9984, 4992, 230*w - 1812]', '[9984, 4992, -230*w - 1582]', '[9984, 4992, 190*w - 1498]', '[9984, 4992, -7478*w - 51340]', '[9984, 4992, 2*w - 102]', '[9984, 9984, 67*w - 537]', '[9984, 9984, -13907*w - 95478]', '[9984, 9984, -647*w - 4443]', '[9984, 9984, 25*w - 222]', '[9984, 9984, -25*w - 197]', '[9984, 9984, 647*w - 5090]', '[9984, 9984, 13907*w - 109385]', '[9984, 9984, -67*w - 470]', '[9986, 9986, -5*w - 104]', '[9986, 9986, 1075*w - 8456]', '[9986, 9986, -1075*w - 7381]', '[9986, 9986, 5*w - 109]', '[9996, 714, 140*w + 966]', '[9996, 714, -5516*w + 43386]', '[9996, 714, 5516*w + 37870]', '[9996, 714, -140*w + 1106]', '[9996, 1428, -49*w + 399]', '[9996, 1428, -581*w + 4571]', '[9996, 1428, -15505*w + 121954]', '[9996, 1428, 35*w + 259]', '[9996, 1428, -35*w + 294]', '[9996, 1428, 15505*w + 106449]', '[9996, 1428, 581*w + 3990]', '[9996, 1428, 49*w + 350]', '[9998, 9998, 457*w - 3596]', '[9998, 9998, 7*w - 116]', '[9998, 9998, -7*w - 109]', '[9998, 9998, -457*w - 3139]', '[10000, 100, 100]', '[10000, 200, -750*w - 5150]', '[10000, 200, 750*w - 5900]', '[10000, 400, -4275*w - 29350]', '[10000, 400, 4275*w - 33625]'], 'label': '2.2.217.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w + 8]', '[2, 2, w + 7]', '[3, 3, -52*w - 357]', '[3, 3, -52*w + 409]', '[7, 7, 498*w - 3917]', '[13, 13, 22*w - 173]', '[13, 13, 22*w + 151]', '[17, 17, -6*w - 41]', '[17, 17, -6*w + 47]', '[25, 5, -5]', '[31, 31, 1048*w - 8243]', '[61, 61, 602*w - 4735]', '[61, 61, 602*w + 4133]', '[67, 67, -186*w - 1277]', '[67, 67, -186*w + 1463]', '[71, 71, 290*w - 2281]', '[71, 71, 290*w + 1991]', '[73, 73, 2*w - 13]', '[73, 73, -2*w - 11]', '[83, 83, -36*w - 247]', '[83, 83, 36*w - 283]', '[89, 89, -126*w - 865]', '[89, 89, 126*w - 991]', '[107, 107, 2*w - 19]', '[107, 107, -2*w - 17]', '[109, 109, -12*w - 83]', '[109, 109, 12*w - 95]', '[113, 113, -112*w - 769]', '[113, 113, 112*w - 881]', '[121, 11, -11]', '[139, 139, 4*w + 25]', '[139, 139, -4*w + 29]', '[149, 149, 68*w - 535]', '[149, 149, -68*w - 467]', '[163, 163, 6*w - 49]', '[163, 163, -6*w - 43]', '[167, 167, 1152*w - 9061]', '[167, 167, 1152*w + 7909]', '[181, 181, 2*w - 7]', '[181, 181, -2*w - 5]', '[191, 191, 26*w + 179]', '[191, 191, 26*w - 205]', '[193, 193, -216*w + 1699]', '[193, 193, -216*w - 1483]', '[199, 199, -16*w - 109]', '[199, 199, 16*w - 125]', '[211, 211, 54*w - 425]', '[211, 211, 54*w + 371]', '[223, 223, -8*w + 61]', '[223, 223, 8*w + 53]', '[229, 229, 14*w - 109]', '[229, 229, -14*w - 95]', '[233, 233, 736*w + 5053]', '[233, 233, 736*w - 5789]', '[241, 241, 10*w + 67]', '[241, 241, -10*w + 77]', '[251, 251, 2148*w + 14747]', '[251, 251, 2148*w - 16895]', '[269, 269, 810*w - 6371]', '[269, 269, 810*w + 5561]', '[271, 271, -200*w - 1373]', '[271, 271, 200*w - 1573]', '[281, 281, -424*w + 3335]', '[281, 281, -424*w - 2911]', '[313, 313, 334*w + 2293]', '[313, 313, 334*w - 2627]', '[317, 317, 28*w - 221]', '[317, 317, -28*w - 193]', '[353, 353, 6*w + 37]', '[353, 353, -6*w + 43]', '[359, 359, 2*w - 25]', '[359, 359, -2*w - 23]', '[361, 19, -19]', '[367, 367, 64*w + 439]', '[367, 367, 64*w - 503]', '[373, 373, -84*w - 577]', '[373, 373, -84*w + 661]', '[379, 379, -18*w - 125]', '[379, 379, 18*w - 143]', '[383, 383, 48*w - 377]', '[383, 383, 48*w + 329]', '[409, 409, 914*w - 7189]', '[409, 409, 914*w + 6275]', '[421, 421, -1836*w - 12605]', '[421, 421, -1836*w + 14441]', '[431, 431, 70*w - 551]', '[431, 431, 70*w + 481]', '[433, 433, 2698*w + 18523]', '[433, 433, 2698*w - 21221]', '[443, 443, 2386*w - 18767]', '[443, 443, -2386*w - 16381]', '[461, 461, 438*w + 3007]', '[461, 461, 438*w - 3445]', '[509, 509, 6*w - 41]', '[509, 509, -6*w - 35]', '[523, 523, 2252*w - 17713]', '[523, 523, 2252*w + 15461]', '[529, 23, -23]', '[541, 541, -276*w - 1895]', '[541, 541, 276*w - 2171]', '[547, 547, -6*w - 47]', '[547, 547, 6*w - 53]', '[587, 587, -12*w + 91]', '[587, 587, 12*w + 79]', '[599, 599, 158*w - 1243]', '[599, 599, -158*w - 1085]', '[601, 601, 62*w - 487]', '[601, 601, 62*w + 425]', '[617, 617, -32*w - 221]', '[617, 617, 32*w - 253]', '[619, 619, 244*w - 1919]', '[619, 619, -244*w - 1675]', '[643, 643, -4*w - 13]', '[643, 643, 4*w - 17]', '[647, 647, 408*w + 2801]', '[647, 647, 408*w - 3209]', '[653, 653, 4*w - 41]', '[653, 653, -4*w - 37]', '[659, 659, -10*w - 73]', '[659, 659, 10*w - 83]', '[677, 677, 18*w + 121]', '[677, 677, 18*w - 139]', '[683, 683, 2*w - 31]', '[683, 683, -2*w - 29]', '[701, 701, -380*w + 2989]', '[701, 701, -380*w - 2609]', '[719, 719, 1464*w + 10051]', '[719, 719, 1464*w - 11515]', '[751, 751, 6*w - 55]', '[751, 751, -6*w - 49]', '[761, 761, 1122*w - 8825]', '[761, 761, 1122*w + 7703]', '[773, 773, 2802*w - 22039]', '[773, 773, 2802*w + 19237]', '[787, 787, 4*w - 11]', '[787, 787, -4*w - 7]', '[797, 797, -6*w - 31]', '[797, 797, 6*w - 37]', '[829, 829, 646*w + 4435]', '[829, 829, 646*w - 5081]', '[841, 29, -29]', '[859, 859, -4*w - 1]', '[859, 859, 4*w - 5]', '[877, 877, 1524*w + 10463]', '[877, 877, 1524*w - 11987]', '[881, 881, 138*w + 947]', '[881, 881, -138*w + 1085]', '[907, 907, 2178*w - 17131]', '[907, 907, -2178*w - 14953]', '[919, 919, 18*w - 145]', '[919, 919, -18*w - 127]', '[929, 929, 6*w - 35]', '[929, 929, -6*w - 29]', '[941, 941, -3798*w - 26075]', '[941, 941, 3798*w - 29873]', '[977, 977, -7024*w + 55247]', '[977, 977, -4928*w + 38761]', '[983, 983, 168*w + 1153]', '[983, 983, -168*w + 1321]']}
• 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': [], 'class_number': 1, 'cm': False, 'coeffs': [-54, -1, 1], 'conductor': 217, 'degree': 2, 'dirichlet_group': [1, 216], 'disc_abs': 217, 'disc_rad': 217, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [0]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [0]], [37, [[2, 1]]], [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': [1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 14.730919862656235, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.217.1', 'local_algs': ['7.2.1.2', '31.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [7, 31], 'rd': 14.7309198627, 'regulator': {'__RealLiteral__': 0, 'data': '15.8551876187', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 521904 a + 3583111 \\)'], 'used_grh': False, 'zk': ['1', 'a']}