Hilbert modular form data - 2.2.305.1-10.2-b

Formats: - HTML - YAML - JSON - 2024-05-15T21:15:23.411107

• 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': 13, 'disc': 305, 'field_bad_primes': [5, 61], 'field_label': '2.2.305.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.305.1-10.2-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 5], 'level_ideal': '[10,10,-w + 3]', 'level_label': '10.2', 'level_norm': 10, 'parallel_weight': 2, 'short_label': '10.2-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2,2,-w + 1]', 1], ['[5,5,4*w + 33]', 1]], 'hecke_eigenvalues': ['e', -1, -1, '-86/9*e^12 + 22/9*e^11 + 1607/9*e^10 - 70/3*e^9 - 11186/9*e^8 + 113/3*e^7 + 35941/9*e^6 + 1331/9*e^5 - 5969*e^4 - 1232/3*e^3 + 10982/3*e^2 + 454/3*e - 625', '-59/3*e^12 + 5*e^11 + 1102/3*e^10 - 143/3*e^9 - 7664/3*e^8 + 230/3*e^7 + 24583/3*e^6 + 907/3*e^5 - 36629/3*e^4 - 838*e^3 + 7446*e^2 + 307*e - 1261', '-130/9*e^12 + 38/9*e^11 + 2422/9*e^10 - 133/3*e^9 - 16795/9*e^8 + 113*e^7 + 53681/9*e^6 + 673/9*e^5 - 26543/3*e^4 - 1402/3*e^3 + 16111/3*e^2 + 569/3*e - 908', '596/9*e^12 - 154/9*e^11 - 11129/9*e^10 + 497/3*e^9 + 77369/9*e^8 - 293*e^7 - 248047/9*e^6 - 8270/9*e^5 + 123139/3*e^4 + 8159/3*e^3 - 75113/3*e^2 - 3049/3*e + 4251', '-316/3*e^12 + 83/3*e^11 + 5899/3*e^10 - 271*e^9 - 40999/3*e^8 + 511*e^7 + 131411/3*e^6 + 4033/3*e^5 - 65222*e^4 - 4203*e^3 + 39779*e^2 + 1587*e - 6756', '-476/9*e^12 + 124/9*e^11 + 8888/9*e^10 - 134*e^9 - 61796/9*e^8 + 730/3*e^7 + 198181/9*e^6 + 6380/9*e^5 - 98438/3*e^4 - 6407/3*e^3 + 60086/3*e^2 + 2377/3*e - 3403', '-898/9*e^12 + 236/9*e^11 + 16765/9*e^10 - 770/3*e^9 - 116536/9*e^8 + 1444/3*e^7 + 373610/9*e^6 + 11605/9*e^5 - 61832*e^4 - 12031/3*e^3 + 113194/3*e^2 + 4550/3*e - 6415', '-94/3*e^12 + 26/3*e^11 + 1753/3*e^10 - 88*e^9 - 12169/3*e^8 + 197*e^7 + 38945/3*e^6 + 844/3*e^5 - 19291*e^4 - 1125*e^3 + 11743*e^2 + 436*e - 1995', '1126/9*e^12 - 293/9*e^11 - 21022/9*e^10 + 949/3*e^9 + 146122/9*e^8 - 570*e^7 - 468404/9*e^6 - 15358/9*e^5 + 232499/3*e^4 + 15391/3*e^3 - 141802/3*e^2 - 5813/3*e + 8031', '253/3*e^12 - 22*e^11 - 4724/3*e^10 + 643/3*e^9 + 32842/3*e^8 - 1177/3*e^7 - 105305/3*e^6 - 3365/3*e^5 + 156868/3*e^4 + 3407*e^3 - 31908*e^2 - 1272*e + 5426', '-1714/9*e^12 + 449/9*e^11 + 32002/9*e^10 - 488*e^9 - 222463/9*e^8 + 2738/3*e^7 + 713201/9*e^6 + 22171/9*e^5 - 354061/3*e^4 - 22945/3*e^3 + 216007/3*e^2 + 8681/3*e - 12238', '367/3*e^12 - 95/3*e^11 - 6853/3*e^10 + 307*e^9 + 47644/3*e^8 - 547*e^7 - 152759/3*e^6 - 5050/3*e^5 + 75842*e^4 + 5012*e^3 - 46267*e^2 - 1877*e + 7860', '238/9*e^12 - 65/9*e^11 - 4438/9*e^10 + 217/3*e^9 + 30799/9*e^8 - 151*e^7 - 98501/9*e^6 - 2626/9*e^5 + 48716/3*e^4 + 3094/3*e^3 - 29548/3*e^2 - 1217/3*e + 1662', '-722/9*e^12 + 187/9*e^11 + 13484/9*e^10 - 604/3*e^9 - 93767/9*e^8 + 1070/3*e^7 + 300751/9*e^6 + 10067/9*e^5 - 49798*e^4 - 9950/3*e^3 + 91187/3*e^2 + 3736/3*e - 5161', '-92*e^12 + 74/3*e^11 + 5150/3*e^10 - 734/3*e^9 - 11925*e^8 + 1472/3*e^7 + 38198*e^6 + 3218/3*e^5 - 170477/3*e^4 - 3589*e^3 + 34616*e^2 + 1375*e - 5872', '-32*e^12 + 9*e^11 + 597*e^10 - 93*e^9 - 4146*e^8 + 224*e^7 + 13274*e^6 + 219*e^5 - 19732*e^4 - 1074*e^3 + 12017*e^2 + 427*e - 2046', '-688/9*e^12 + 182/9*e^11 + 12844/9*e^10 - 598/3*e^9 - 89272/9*e^8 + 388*e^7 + 286142/9*e^6 + 8377/9*e^5 - 142007/3*e^4 - 9025/3*e^3 + 86593/3*e^2 + 3422/3*e - 4908', '-106*e^12 + 85/3*e^11 + 5935/3*e^10 - 844/3*e^9 - 13745*e^8 + 1702/3*e^7 + 44030*e^6 + 3658/3*e^5 - 196474/3*e^4 - 4114*e^3 + 39883*e^2 + 1583*e - 6769', '1145/9*e^12 - 301/9*e^11 - 21374/9*e^10 + 328*e^9 + 148541/9*e^8 - 1867/3*e^7 - 476017/9*e^6 - 14492/9*e^5 + 236159/3*e^4 + 15212/3*e^3 - 143915/3*e^2 - 5770/3*e + 8141', '-1807/9*e^12 + 473/9*e^11 + 33733/9*e^10 - 513*e^9 - 234454/9*e^8 + 2846/3*e^7 + 751493/9*e^6 + 23767/9*e^5 - 372985/3*e^4 - 24325/3*e^3 + 227482/3*e^2 + 9170/3*e - 12886', '218/9*e^12 - 61/9*e^11 - 4061/9*e^10 + 208/3*e^9 + 28139/9*e^8 - 479/3*e^7 - 89764/9*e^6 - 1823/9*e^5 + 14734*e^4 + 2594/3*e^3 - 26624/3*e^2 - 1021/3*e + 1484', '1378/9*e^12 - 362/9*e^11 - 25726/9*e^10 + 394*e^9 + 178819/9*e^8 - 2228/3*e^7 - 573245/9*e^6 - 17623/9*e^5 + 284581/3*e^4 + 18364/3*e^3 - 173644/3*e^2 - 6929/3*e + 9845', '-131/9*e^12 + 37/9*e^11 + 2450/9*e^10 - 43*e^9 - 17072/9*e^8 + 325/3*e^7 + 54913/9*e^6 + 698/9*e^5 - 27377/3*e^4 - 1367/3*e^3 + 16781/3*e^2 + 526/3*e - 952', '-914/9*e^12 + 241/9*e^11 + 17054/9*e^10 - 788/3*e^9 - 118448/9*e^8 + 499*e^7 + 379291/9*e^6 + 11558/9*e^5 - 188008/3*e^4 - 12131/3*e^3 + 114512/3*e^2 + 4579/3*e - 6489', '-2849/9*e^12 + 745/9*e^11 + 53189/9*e^10 - 2423/3*e^9 - 369710/9*e^8 + 1489*e^7 + 1185142/9*e^6 + 37694/9*e^5 - 588280/3*e^4 - 38510/3*e^3 + 358817/3*e^2 + 14587/3*e - 20313', '-490/9*e^12 + 137/9*e^11 + 9136/9*e^10 - 466/3*e^9 - 63406/9*e^8 + 354*e^7 + 202865/9*e^6 + 4228/9*e^5 - 100433/3*e^4 - 5848/3*e^3 + 61042/3*e^2 + 2261/3*e - 3450', '-308/9*e^12 + 73/9*e^11 + 5765/9*e^10 - 221/3*e^9 - 40190/9*e^8 + 81*e^7 + 129265/9*e^6 + 5894/9*e^5 - 64390/3*e^4 - 4757/3*e^3 + 39350/3*e^2 + 1684/3*e - 2214', '92/3*e^12 - 23/3*e^11 - 574*e^10 + 220/3*e^9 + 12005/3*e^8 - 361/3*e^7 - 38617/3*e^6 - 457*e^5 + 57745/3*e^4 + 1292*e^3 - 11801*e^2 - 481*e + 2018', '967/3*e^12 - 85*e^11 - 18050/3*e^10 + 2503/3*e^9 + 125434/3*e^8 - 4765/3*e^7 - 401960/3*e^6 - 12221/3*e^5 + 598288/3*e^4 + 12858*e^3 - 121569*e^2 - 4870*e + 20654', '-239/3*e^12 + 64/3*e^11 + 4460/3*e^10 - 212*e^9 - 30983/3*e^8 + 430*e^7 + 99241/3*e^6 + 2705/3*e^5 - 49210*e^4 - 3063*e^3 + 29988*e^2 + 1180*e - 5095', '-1576/9*e^12 + 419/9*e^11 + 29419/9*e^10 - 1381/3*e^9 - 204460/9*e^8 + 910*e^7 + 655316/9*e^6 + 18724/9*e^5 - 325214/3*e^4 - 20527/3*e^3 + 198289/3*e^2 + 7811/3*e - 11214', '-1040/9*e^12 + 268/9*e^11 + 19421/9*e^10 - 863/3*e^9 - 135026/9*e^8 + 502*e^7 + 432940/9*e^6 + 14672/9*e^5 - 214951/3*e^4 - 14318/3*e^3 + 131135/3*e^2 + 5317/3*e - 7419', '326/3*e^12 - 88/3*e^11 - 6083/3*e^10 + 294*e^9 + 42251/3*e^8 - 622*e^7 - 135292/3*e^6 - 3362/3*e^5 + 67047*e^4 + 4053*e^3 - 40808*e^2 - 1573*e + 6909', '-356/3*e^12 + 91/3*e^11 + 6650/3*e^10 - 291*e^9 - 46256/3*e^8 + 487*e^7 + 148417/3*e^6 + 5261/3*e^5 - 73764*e^4 - 4994*e^3 + 45061*e^2 + 1864*e - 7668', '1651/9*e^12 - 428/9*e^11 - 30829/9*e^10 + 1385/3*e^9 + 214336/9*e^8 - 2491/3*e^7 - 687263/9*e^6 - 22357/9*e^5 + 113755*e^4 + 22318/3*e^3 - 208234/3*e^2 - 8297/3*e + 11792', '1889/9*e^12 - 493/9*e^11 - 35267/9*e^10 + 534*e^9 + 245135/9*e^8 - 2944/3*e^7 - 785764/9*e^6 - 24992/9*e^5 + 389987/3*e^4 + 25439/3*e^3 - 237827/3*e^2 - 9580/3*e + 13469', '-815/9*e^12 + 217/9*e^11 + 15212/9*e^10 - 238*e^9 - 105722/9*e^8 + 1399/3*e^7 + 338908/9*e^6 + 9860/9*e^5 - 168263/3*e^4 - 10691/3*e^3 + 102650/3*e^2 + 4063/3*e - 5806', '-177*e^12 + 136/3*e^11 + 9916/3*e^10 - 1306/3*e^9 - 22981*e^8 + 2200/3*e^7 + 73688*e^6 + 7792/3*e^5 - 329299/3*e^4 - 7424*e^3 + 66980*e^2 + 2762*e - 11389', '421/3*e^12 - 37*e^11 - 7859/3*e^10 + 1090/3*e^9 + 54616/3*e^8 - 2074/3*e^7 - 175004/3*e^6 - 5366/3*e^5 + 260380/3*e^4 + 5663*e^3 - 52859*e^2 - 2178*e + 8975', '-1573/9*e^12 + 428/9*e^11 + 29341/9*e^10 - 476*e^9 - 203737/9*e^8 + 2987/3*e^7 + 652277/9*e^6 + 16999/9*e^5 - 323245/3*e^4 - 20080/3*e^3 + 196792/3*e^2 + 7796/3*e - 11149', '623/3*e^12 - 163/3*e^11 - 11633/3*e^10 + 532*e^9 + 80873/3*e^8 - 1002*e^7 - 259285/3*e^6 - 7931/3*e^5 + 128722*e^4 + 8263*e^3 - 78540*e^2 - 3125*e + 13362', '712/3*e^12 - 185/3*e^11 - 13294/3*e^10 + 599*e^9 + 92413/3*e^8 - 1077*e^7 - 296252/3*e^6 - 9736/3*e^5 + 147049*e^4 + 9741*e^3 - 89688*e^2 - 3672*e + 15246', '232/3*e^12 - 59/3*e^11 - 4336/3*e^10 + 189*e^9 + 30178/3*e^8 - 320*e^7 - 96893/3*e^6 - 3364/3*e^5 + 48191*e^4 + 3223*e^3 - 29454*e^2 - 1205*e + 5006', '529/9*e^12 - 152/9*e^11 - 9850/9*e^10 + 526/3*e^9 + 68233/9*e^8 - 428*e^7 - 217712/9*e^6 - 3547/9*e^5 + 107363/3*e^4 + 6058/3*e^3 - 64960/3*e^2 - 2483/3*e + 3665', '812/3*e^12 - 217/3*e^11 - 15155/3*e^10 + 718*e^9 + 105302/3*e^8 - 1448*e^7 - 337393/3*e^6 - 9290/3*e^5 + 167361*e^4 + 10433*e^3 - 101991*e^2 - 3978*e + 17310', '209/3*e^12 - 52/3*e^11 - 3905/3*e^10 + 162*e^9 + 27170/3*e^8 - 226*e^7 - 87208/3*e^6 - 3620/3*e^5 + 43362*e^4 + 3142*e^3 - 26500*e^2 - 1160*e + 4506', '920/3*e^12 - 244/3*e^11 - 17174/3*e^10 + 802*e^9 + 119363/3*e^8 - 1563*e^7 - 382594/3*e^6 - 11210/3*e^5 + 189889*e^4 + 12090*e^3 - 115808*e^2 - 4603*e + 19668', '-2930/9*e^12 + 772/9*e^11 + 54692/9*e^10 - 2528/3*e^9 - 380060/9*e^8 + 1613*e^7 + 1217821/9*e^6 + 36596/9*e^5 - 604096/3*e^4 - 38753/3*e^3 + 368084/3*e^2 + 14704/3*e - 20811', '280/9*e^12 - 77/9*e^11 - 5218/9*e^10 + 262/3*e^9 + 36169/9*e^8 - 201*e^7 - 115442/9*e^6 - 2245/9*e^5 + 56930/3*e^4 + 3220/3*e^3 - 34432/3*e^2 - 1265/3*e + 1931', '-4501/9*e^12 + 1184/9*e^11 + 84022/9*e^10 - 3868/3*e^9 - 583945/9*e^8 + 2435*e^7 + 1871504/9*e^6 + 57550/9*e^5 - 928664/3*e^4 - 60109/3*e^3 + 566158/3*e^2 + 22802/3*e - 32044', '-217/9*e^12 + 50/9*e^11 + 4057/9*e^10 - 148/3*e^9 - 28222/9*e^8 + 41*e^7 + 90440/9*e^6 + 4639/9*e^5 - 44804/3*e^4 - 3658/3*e^3 + 27220/3*e^2 + 1382/3*e - 1530', '3986/9*e^12 - 1039/9*e^11 - 74423/9*e^10 + 3371/3*e^9 + 517367/9*e^8 - 2044*e^7 - 1658737/9*e^6 - 53681/9*e^5 + 823546/3*e^4 + 54197/3*e^3 - 502487/3*e^2 - 20434/3*e + 28476', '-1996/9*e^12 + 530/9*e^11 + 37255/9*e^10 - 1744/3*e^9 - 258889/9*e^8 + 1142*e^7 + 829676/9*e^6 + 23851/9*e^5 - 411734/3*e^4 - 25924/3*e^3 + 251134/3*e^2 + 9809/3*e - 14230', '-826/9*e^12 + 215/9*e^11 + 15421/9*e^10 - 697/3*e^9 - 107185/9*e^8 + 421*e^7 + 343550/9*e^6 + 11170/9*e^5 - 170492/3*e^4 - 11248/3*e^3 + 103960/3*e^2 + 4229/3*e - 5896', '160/9*e^12 - 56/9*e^11 - 2968/9*e^10 + 215/3*e^9 + 20461/9*e^8 - 715/3*e^7 - 64838/9*e^6 + 1238/9*e^5 + 10546*e^4 + 1231/3*e^3 - 18886/3*e^2 - 713/3*e + 1067', '-1199/3*e^12 + 104*e^11 + 22390/3*e^10 - 3035/3*e^9 - 155681/3*e^8 + 5510/3*e^7 + 499279/3*e^6 + 16114/3*e^5 - 743975/3*e^4 - 16212*e^3 + 151387*e^2 + 6059*e - 25735', '-2053/9*e^12 + 533/9*e^11 + 38335/9*e^10 - 574*e^9 - 266533/9*e^8 + 3059/3*e^7 + 854747/9*e^6 + 28495/9*e^5 - 424531/3*e^4 - 28204/3*e^3 + 259093/3*e^2 + 10625/3*e - 14656', '-1324/3*e^12 + 346/3*e^11 + 8240*e^10 - 3377/3*e^9 - 171841/3*e^8 + 6245/3*e^7 + 550916/3*e^6 + 5792*e^5 - 820508/3*e^4 - 17791*e^3 + 166846*e^2 + 6709*e - 28339', '-2114/9*e^12 + 559/9*e^11 + 39464/9*e^10 - 1834/3*e^9 - 274286/9*e^8 + 3542/3*e^7 + 879148/9*e^6 + 26084/9*e^5 - 145434*e^4 - 27827/3*e^3 + 266021/3*e^2 + 10510/3*e - 15043', '-151/3*e^12 + 34/3*e^11 + 943*e^10 - 299/3*e^9 - 19744/3*e^8 + 236/3*e^7 + 63605/3*e^6 + 1021*e^5 - 95324/3*e^4 - 2313*e^3 + 19532*e^2 + 789*e - 3331', '-3659/9*e^12 + 967/9*e^11 + 68288/9*e^10 - 3166/3*e^9 - 474470/9*e^8 + 6047/3*e^7 + 1520203/9*e^6 + 46097/9*e^5 - 251371*e^4 - 48686/3*e^3 + 459608/3*e^2 + 18517/3*e - 26017', '-95*e^12 + 77/3*e^11 + 5315/3*e^10 - 767/3*e^9 - 12297*e^8 + 1568/3*e^7 + 39340*e^6 + 3224/3*e^5 - 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1134280/3*e^4 - 72724/3*e^3 + 691681/3*e^2 + 27548/3*e - 39163', '563/3*e^12 - 139/3*e^11 - 10520/3*e^10 + 433*e^9 + 73196/3*e^8 - 610*e^7 - 234925/3*e^6 - 9509/3*e^5 + 116804*e^4 + 8264*e^3 - 71387*e^2 - 3013*e + 12155', '-221*e^12 + 58*e^11 + 4127*e^10 - 570*e^9 - 28694*e^8 + 1094*e^7 + 92006*e^6 + 2735*e^5 - 137049*e^4 - 8712*e^3 + 83644*e^2 + 3291*e - 14233', '-100*e^12 + 27*e^11 + 1866*e^10 - 270*e^9 - 12962*e^8 + 565*e^7 + 41513*e^6 + 1057*e^5 - 61738*e^4 - 3743*e^3 + 37620*e^2 + 1428*e - 6411', '46*e^12 - 13*e^11 - 856*e^10 + 132*e^9 + 5927*e^8 - 296*e^7 - 18907*e^6 - 413*e^5 + 27961*e^4 + 1648*e^3 - 16861*e^2 - 618*e + 2820', '2021/9*e^12 - 535/9*e^11 - 37742/9*e^10 + 1762/3*e^9 + 262448/9*e^8 - 3467/3*e^7 - 841819/9*e^6 - 24200/9*e^5 + 139431*e^4 + 26414/3*e^3 - 255686/3*e^2 - 10090/3*e + 14537', '-4363/9*e^12 + 1145/9*e^11 + 81439/9*e^10 - 3737/3*e^9 - 565906/9*e^8 + 7036/3*e^7 + 1813214/9*e^6 + 55741/9*e^5 - 299788*e^4 - 58039/3*e^3 + 547945/3*e^2 + 21938/3*e - 30979', '-907/3*e^12 + 80*e^11 + 16928/3*e^10 - 2359/3*e^9 - 117634/3*e^8 + 4531/3*e^7 + 377036/3*e^6 + 11267/3*e^5 - 561541/3*e^4 - 11944*e^3 + 114251*e^2 + 4501*e - 19435', '-202*e^12 + 155/3*e^11 + 11321/3*e^10 - 1490/3*e^9 - 26251*e^8 + 2528/3*e^7 + 84236*e^6 + 8789/3*e^5 - 376862/3*e^4 - 8411*e^3 + 76793*e^2 + 3135*e - 13069', '661*e^12 - 520/3*e^11 - 37018/3*e^10 + 5086/3*e^9 + 85758*e^8 - 9508/3*e^7 - 274851*e^6 - 25690/3*e^5 + 1227490/3*e^4 + 26586*e^3 - 249454*e^2 - 10082*e + 42356', '-1288/9*e^12 + 338/9*e^11 + 24055/9*e^10 - 1105/3*e^9 - 167281/9*e^8 + 697*e^7 + 536570/9*e^6 + 16474/9*e^5 - 266600/3*e^4 - 17296/3*e^3 + 162946/3*e^2 + 6620/3*e - 9270', '-6863/9*e^12 + 1798/9*e^11 + 128114/9*e^10 - 5852/3*e^9 - 890396/9*e^8 + 3613*e^7 + 2853868/9*e^6 + 90119/9*e^5 - 1416418/3*e^4 - 92351/3*e^3 + 863933/3*e^2 + 34783/3*e - 48966', '1070/9*e^12 - 304/9*e^11 - 19958/9*e^10 + 350*e^9 + 138584/9*e^8 - 2545/3*e^7 - 443692/9*e^6 - 7334/9*e^5 + 219875/3*e^4 + 12200/3*e^3 - 133871/3*e^2 - 4987/3*e + 7580', '-1538/3*e^12 + 134*e^11 + 28714/3*e^10 - 3923/3*e^9 - 199595/3*e^8 + 7250/3*e^7 + 639880/3*e^6 + 20194/3*e^5 - 953090/3*e^4 - 20648*e^3 + 193888*e^2 + 7759*e - 32971', '5008/9*e^12 - 1334/9*e^11 - 93466/9*e^10 + 4399/3*e^9 + 649414/9*e^8 - 2906*e^7 - 2080688/9*e^6 - 59299/9*e^5 + 1032080/3*e^4 + 65200/3*e^3 - 628948/3*e^2 - 24890/3*e + 35586', '2692/3*e^12 - 710/3*e^11 - 50254/3*e^10 + 2323*e^9 + 349288/3*e^8 - 4420*e^7 - 1119635/3*e^6 - 34093/3*e^5 + 555756*e^4 + 35867*e^3 - 338992*e^2 - 13613*e + 57603', '-1439/9*e^12 + 370/9*e^11 + 26873/9*e^10 - 1186/3*e^9 - 186878/9*e^8 + 2018/3*e^7 + 599527/9*e^6 + 20837/9*e^5 - 99326*e^4 - 19928/3*e^3 + 182027/3*e^2 + 7393/3*e - 10282', '-428/3*e^12 + 38*e^11 + 7987/3*e^10 - 1127/3*e^9 - 55484/3*e^8 + 2219/3*e^7 + 177709/3*e^6 + 5176/3*e^5 - 264311/3*e^4 - 5660*e^3 + 53673*e^2 + 2184*e - 9136', '400/3*e^12 - 110/3*e^11 - 7459/3*e^10 + 369*e^9 + 51775/3*e^8 - 791*e^7 - 165674/3*e^6 - 4105/3*e^5 + 82023*e^4 + 5037*e^3 - 49834*e^2 - 1958*e + 8451', '4028/9*e^12 - 1069/9*e^11 - 75185/9*e^10 + 3518/3*e^9 + 522458/9*e^8 - 2302*e^7 - 1674094/9*e^6 - 48341/9*e^5 + 830437/3*e^4 + 52544/3*e^3 - 506093/3*e^2 - 19906/3*e + 28647', '-8098/9*e^12 + 2132/9*e^11 + 151159/9*e^10 - 6970/3*e^9 - 1050457/9*e^8 + 4407*e^7 + 3366290/9*e^6 + 102727/9*e^5 - 1670138/3*e^4 - 107719/3*e^3 + 1017913/3*e^2 + 40751/3*e - 57583', '-1306/9*e^12 + 338/9*e^11 + 24379/9*e^10 - 1090/3*e^9 - 169405/9*e^8 + 638*e^7 + 542717/9*e^6 + 18454/9*e^5 - 269093/3*e^4 - 18184/3*e^3 + 163867/3*e^2 + 6944/3*e - 9277', '-970/3*e^12 + 254/3*e^11 + 18112/3*e^10 - 828*e^9 - 125911/3*e^8 + 1543*e^7 + 403646/3*e^6 + 12682/3*e^5 - 200337*e^4 - 13096*e^3 + 122131*e^2 + 4973*e - 20715', '-1052/9*e^12 + 256/9*e^11 + 19676/9*e^10 - 791/3*e^9 - 137063/9*e^8 + 347*e^7 + 440560/9*e^6 + 18617/9*e^5 - 219448/3*e^4 - 15917/3*e^3 + 134393/3*e^2 + 5944/3*e - 7632', '-3037/9*e^12 + 821/9*e^11 + 56674/9*e^10 - 2731/3*e^9 - 393760/9*e^8 + 1877*e^7 + 1261652/9*e^6 + 33757/9*e^5 - 625919/3*e^4 - 39079/3*e^3 + 381577/3*e^2 + 15185/3*e - 21615', '-35/9*e^12 + 13/9*e^11 + 650/9*e^10 - 56/3*e^9 - 4475/9*e^8 + 82*e^7 + 14131/9*e^6 - 1300/9*e^5 - 6889/3*e^4 + 211/3*e^3 + 4166/3*e^2 - 26/3*e - 228', '2221/3*e^12 - 581/3*e^11 - 41467/3*e^10 + 1890*e^9 + 288253/3*e^8 - 3488*e^7 - 924104/3*e^6 - 29332/3*e^5 + 458744*e^4 + 29964*e^3 - 279816*e^2 - 11283*e + 47523', '-488*e^12 + 126*e^11 + 9114*e^10 - 1219*e^9 - 63380*e^8 + 2148*e^7 + 203300*e^6 + 6789*e^5 - 303014*e^4 - 20010*e^3 + 185033*e^2 + 7438*e - 31461', '-715/9*e^12 + 164/9*e^11 + 13384/9*e^10 - 481/3*e^9 - 93331/9*e^8 + 122*e^7 + 300461/9*e^6 + 15217/9*e^5 - 150065/3*e^4 - 11584/3*e^3 + 92332/3*e^2 + 4214/3*e - 5290', '277/3*e^12 - 74/3*e^11 - 5167/3*e^10 + 243*e^9 + 35878/3*e^8 - 468*e^7 - 114863/3*e^6 - 3529/3*e^5 + 56926*e^4 + 3772*e^3 - 34661*e^2 - 1466*e + 5886', '991/9*e^12 - 248/9*e^11 - 18493/9*e^10 + 775/3*e^9 + 128455/9*e^8 - 373*e^7 - 411353/9*e^6 - 16582/9*e^5 + 203867/3*e^4 + 14560/3*e^3 - 124018/3*e^2 - 5378/3*e + 6999', '-1138/3*e^12 + 305/3*e^11 + 21232/3*e^10 - 1008*e^9 - 147463/3*e^8 + 2016*e^7 + 472217/3*e^6 + 13372/3*e^5 - 234079*e^4 - 14886*e^3 + 142562*e^2 + 5757*e - 24213', '251/9*e^12 - 76/9*e^11 - 4682/9*e^10 + 272/3*e^9 + 32537/9*e^8 - 250*e^7 - 104392/9*e^6 - 473/9*e^5 + 51958/3*e^4 + 2318/3*e^3 - 31892/3*e^2 - 901/3*e + 1842', '-3244/9*e^12 + 851/9*e^11 + 60556/9*e^10 - 2774/3*e^9 - 420859/9*e^8 + 5188/3*e^7 + 1348889/9*e^6 + 41833/9*e^5 - 223140*e^4 - 43198/3*e^3 + 408142/3*e^2 + 16226/3*e - 23074', '1676/3*e^12 - 145*e^11 - 31291/3*e^10 + 4217/3*e^9 + 217511/3*e^8 - 7505/3*e^7 - 697312/3*e^6 - 23176/3*e^5 + 1038551/3*e^4 + 22972*e^3 - 211204*e^2 - 8621*e + 35879', '1672/9*e^12 - 425/9*e^11 - 31219/9*e^10 + 1349/3*e^9 + 217030/9*e^8 - 2164/3*e^7 - 695846/9*e^6 - 25600/9*e^5 + 115166*e^4 + 23590/3*e^3 - 210742/3*e^2 - 8648/3*e + 11903', '-6842/9*e^12 + 1816/9*e^11 + 127712/9*e^10 - 5974/3*e^9 - 887513/9*e^8 + 11696/3*e^7 + 2844169/9*e^6 + 82670/9*e^5 - 470393*e^4 - 89621/3*e^3 + 860294/3*e^2 + 34111/3*e - 48703'], 'hecke_polynomial': 'x^13 + x^12 - 19*x^11 - 21*x^10 + 133*x^9 + 159*x^8 - 422*x^7 - 538*x^6 + 603*x^5 + 822*x^4 - 327*x^3 - 492*x^2 + 45*x + 81', 'label': '2.2.305.1-10.2-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 305, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[4, 2, 2]', '[4, 4, -w - 8]', '[4, 4, -w + 9]', '[5, 5, -4*w + 37]', '[7, 7, w + 2]', '[7, 7, w + 4]', '[8, 4, 2*w]', '[8, 4, 2*w + 2]', '[8, 8, w + 3]', '[8, 8, w + 4]', '[9, 3, 3]', '[10, 10, w + 2]', '[10, 10, w + 7]', '[14, 14, -5*w + 46]', '[14, 14, -w + 10]', '[14, 14, w + 9]', '[14, 14, -5*w - 41]', '[16, 4, 4]', '[16, 8, -2*w - 16]', '[16, 8, -2*w + 18]', '[16, 16, 3*w + 25]', '[16, 16, -3*w + 28]', '[17, 17, w + 6]', '[17, 17, w + 10]', '[18, 6, 3*w]', '[18, 6, 3*w + 3]', '[19, 19, -2*w + 19]', '[19, 19, -2*w - 17]', '[20, 10, -8*w + 74]', '[20, 20, -w - 7]', '[20, 20, -w + 8]', '[23, 23, w + 5]', '[23, 23, w + 17]', '[25, 5, 5]', '[28, 14, 2*w + 4]', '[28, 14, 2*w + 8]', '[28, 28, w + 4]', '[28, 28, w + 11]', '[28, 28, w + 16]', '[28, 28, w + 23]', '[32, 8, 4*w]', '[32, 8, 4*w + 4]', '[32, 16, 2*w + 6]', '[32, 16, 2*w + 8]', '[32, 32, w + 3]', '[32, 32, w + 28]', '[34, 34, -w - 6]', '[34, 34, w + 10]', '[34, 34, -w + 11]', '[34, 34, -w + 7]', '[35, 35, w + 2]', '[35, 35, w + 32]', '[36, 6, 6]', '[36, 12, -3*w - 24]', '[36, 12, -3*w + 27]', '[37, 37, w + 1]', '[37, 37, w + 35]', '[38, 38, w]', '[38, 38, w + 18]', '[38, 38, w + 19]', '[38, 38, w + 37]', '[40, 20, 2*w + 4]', '[40, 20, 2*w + 14]', '[40, 40, w + 12]', '[40, 40, w + 27]', '[41, 41, -22*w + 203]', '[41, 41, -6*w + 55]', '[43, 43, w + 20]', '[43, 43, w + 22]', '[45, 15, -12*w + 111]', '[46, 46, -w - 5]', '[46, 46, 7*w - 65]', '[46, 46, 7*w + 58]', '[46, 46, w - 6]', '[49, 7, 7]', '[49, 49, -2*w + 17]', '[49, 49, -2*w - 15]', '[50, 10, 5*w]', '[50, 10, 5*w + 5]', '[53, 53, w + 13]', '[53, 53, w + 39]', '[56, 28, -10*w + 92]', '[56, 28, -2*w + 20]', '[56, 28, 2*w + 18]', '[56, 28, -10*w - 82]', '[56, 56, -w - 4]', '[56, 56, w + 11]', '[56, 56, -w + 12]', '[56, 56, -w + 5]', '[61, 61, 14*w - 129]', '[63, 21, 3*w + 6]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[64, 16, -4*w - 32]', '[64, 16, -4*w + 36]', '[64, 32, 6*w + 50]', '[64, 32, -6*w + 56]', '[64, 64, -w - 3]', '[64, 64, -w + 4]', '[67, 67, w + 14]', '[67, 67, w + 52]', '[68, 34, 2*w + 12]', '[68, 34, 2*w + 20]', '[68, 68, w + 23]', '[68, 68, w + 27]', '[68, 68, w + 40]', '[68, 68, w + 44]', '[70, 70, -w - 2]', '[70, 70, 3*w + 26]', '[70, 70, -3*w + 29]', '[70, 70, -w + 3]', '[72, 12, 6*w]', '[72, 12, 6*w + 6]', '[72, 24, 3*w + 9]', '[72, 24, 3*w + 12]', '[74, 74, -w - 1]', '[74, 74, 5*w - 47]', '[74, 74, 5*w + 42]', '[74, 74, w - 2]', '[76, 38, -4*w + 38]', '[76, 38, -4*w - 34]', '[76, 76, -w]', '[76, 76, -7*w - 57]', '[76, 76, 7*w - 64]', '[76, 76, w - 1]', '[80, 20, -16*w + 148]', '[80, 40, -2*w - 14]', '[80, 40, -2*w + 16]', '[80, 80, w + 12]', '[80, 80, -w + 13]', '[81, 9, 9]', '[82, 82, w + 15]', '[82, 82, w + 25]', '[82, 82, w + 56]', '[82, 82, w + 66]', '[85, 85, w + 27]', '[85, 85, w + 57]', '[86, 86, 3*w - 26]', '[86, 86, 11*w - 102]', '[86, 86, -11*w - 91]', '[86, 86, 3*w + 23]', '[90, 30, 3*w + 6]', '[90, 30, 3*w + 21]', '[92, 46, 2*w + 10]', '[92, 46, 2*w + 34]', '[92, 92, w + 28]', '[92, 92, w + 40]', '[92, 92, w + 51]', '[92, 92, w + 63]', '[95, 95, 2*w - 21]', '[95, 95, 2*w + 19]', '[98, 14, 7*w]', '[98, 14, 7*w + 7]', '[98, 98, w + 16]', '[98, 98, w + 32]', '[98, 98, w + 65]', '[98, 98, w + 81]', '[100, 10, 10]', '[100, 20, -5*w - 40]', '[100, 20, -5*w + 45]', '[106, 106, -w - 13]', '[106, 106, 11*w - 101]', '[106, 106, 11*w + 90]', '[106, 106, w - 14]', '[109, 109, 2*w - 15]', '[109, 109, -2*w - 13]', '[112, 28, 4*w + 8]', '[112, 28, 4*w + 16]', '[112, 56, 2*w + 8]', '[112, 56, 2*w + 22]', '[112, 56, 2*w + 32]', '[112, 56, 2*w + 46]', '[112, 112, w + 44]', '[112, 112, w + 51]', '[112, 112, w + 60]', '[112, 112, w + 67]', '[115, 115, w + 17]', '[115, 115, w + 97]', '[119, 119, -8*w - 65]', '[119, 119, 10*w + 83]', '[119, 119, -10*w + 93]', '[119, 119, -8*w + 73]', '[121, 11, -11]', '[122, 122, w + 30]', '[122, 122, w + 91]', '[125, 25, -20*w + 185]', '[126, 42, -15*w + 138]', '[126, 42, -3*w + 30]', '[126, 42, 3*w + 27]', '[126, 42, -15*w - 123]', '[128, 16, 8*w]', '[128, 16, 8*w + 8]', '[128, 32, 4*w + 12]', '[128, 32, 4*w + 16]', '[128, 64, 2*w + 6]', '[128, 64, 2*w + 56]', '[128, 128, w + 60]', '[128, 128, w + 67]', '[131, 131, 4*w - 35]', '[131, 131, 4*w + 31]', '[133, 133, w + 18]', '[133, 133, w + 37]', '[133, 133, w + 95]', '[133, 133, w + 114]', '[134, 134, -w - 14]', '[134, 134, 3*w + 22]', '[134, 134, 3*w - 25]', '[134, 134, w - 15]', '[136, 68, -2*w - 12]', '[136, 68, 2*w + 20]', '[136, 68, -2*w + 22]', '[136, 68, -2*w + 14]', '[136, 136, -15*w + 139]', '[136, 136, -19*w - 156]', '[136, 136, -19*w + 175]', '[136, 136, 15*w + 124]', '[140, 70, 2*w + 4]', '[140, 70, 2*w + 64]', '[140, 140, w + 32]', '[140, 140, w + 67]', '[140, 140, w + 72]', '[140, 140, w + 107]', '[144, 12, 12]', '[144, 24, -6*w - 48]', '[144, 24, -6*w + 54]', '[144, 48, 9*w + 75]', '[144, 48, -9*w + 84]', '[148, 74, 2*w + 2]', '[148, 74, 2*w + 70]', '[148, 148, w + 35]', '[148, 148, w + 72]', '[148, 148, w + 75]', '[148, 148, w + 112]', '[149, 149, -4*w - 35]', '[149, 149, -4*w + 39]', '[152, 76, 2*w]', '[152, 76, 2*w + 36]', '[152, 76, 2*w + 38]', '[152, 76, 2*w + 74]', '[152, 152, w + 19]', '[152, 152, w + 75]', '[152, 152, w + 76]', '[152, 152, w + 132]', '[153, 51, 3*w + 18]', '[153, 51, 3*w + 30]', '[157, 157, w + 36]', '[157, 157, w + 120]', '[160, 40, 4*w + 8]', '[160, 40, 4*w + 28]', '[160, 80, 2*w + 24]', '[160, 80, 2*w + 54]', '[160, 160, w + 67]', '[160, 160, w + 92]', '[161, 161, -8*w + 75]', '[161, 161, -2*w + 13]', '[161, 161, 2*w + 11]', '[161, 161, -8*w - 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297]', '[9751, 1393, -112*w + 1029]', '[9751, 1393, 280*w - 2583]', '[9751, 9751, 58*w + 487]', '[9751, 9751, -22*w - 205]', '[9751, 9751, -22*w + 227]', '[9751, 9751, 58*w - 545]', '[9752, 4876, 2*w + 608]', '[9752, 4876, 2*w + 1138]', '[9752, 4876, 2*w + 1298]', '[9752, 4876, 2*w + 1828]', '[9752, 4876, 2*w + 3046]', '[9752, 4876, 2*w + 3576]', '[9752, 4876, 2*w + 3736]', '[9752, 4876, 2*w + 4266]', '[9752, 9752, w + 1523]', '[9752, 9752, w + 1788]', '[9752, 9752, w + 1868]', '[9752, 9752, w + 4571]', '[9752, 9752, w + 5180]', '[9752, 9752, w + 7883]', '[9752, 9752, w + 7963]', '[9752, 9752, w + 8228]', '[9755, 9755, -12*w - 29]', '[9755, 9755, 12*w - 41]', '[9756, 1626, 12*w - 150]', '[9756, 1626, -12*w - 138]', '[9756, 3252, 123*w - 1131]', '[9756, 3252, 21*w - 165]', '[9756, 3252, 21*w + 144]', '[9756, 3252, 123*w + 1008]', '[9758, 9758, w + 261]', '[9758, 9758, w + 312]', '[9758, 9758, w + 1829]', '[9758, 9758, w + 2403]', '[9758, 9758, w + 2475]', '[9758, 9758, w + 3049]', '[9758, 9758, w + 4566]', '[9758, 9758, w + 4617]', '[9758, 9758, w + 5140]', '[9758, 9758, w + 5191]', '[9758, 9758, w + 6708]', '[9758, 9758, w + 7282]', '[9758, 9758, w + 7354]', '[9758, 9758, w + 7928]', '[9758, 9758, w + 9445]', '[9758, 9758, w + 9496]', '[9760, 2440, 4*w + 608]', '[9760, 2440, 4*w + 1828]', '[9760, 4880, 2*w + 2134]', '[9760, 4880, 2*w + 2744]', '[9760, 9760, w + 1372]', '[9760, 9760, w + 8387]', '[9761, 9761, 14*w - 79]', '[9761, 9761, -8*w - 117]', '[9761, 9761, 8*w - 125]', '[9761, 9761, -14*w - 65]', '[9764, 4882, -20*w - 134]', '[9764, 4882, 20*w - 154]', '[9764, 9764, -13*w + 157]', '[9764, 9764, 157*w + 1296]', '[9764, 9764, 157*w - 1453]', '[9764, 9764, -13*w - 144]', '[9767, 9767, w + 2279]', '[9767, 9767, w + 7487]', '[9769, 9769, -40*w + 383]', '[9769, 9769, -40*w - 343]', '[9775, 1955, 40*w - 355]', '[9775, 1955, 30*w + 265]', '[9775, 1955, 30*w - 295]', '[9775, 1955, -40*w - 315]', '[9778, 9778, w + 948]', '[9778, 9778, w + 3940]', '[9778, 9778, w + 5837]', '[9778, 9778, w + 8829]', '[9783, 3261, 3*w + 978]', '[9783, 3261, 3*w + 2280]', '[9788, 4894, 2*w + 140]', '[9788, 4894, 2*w + 4752]', '[9788, 9788, w + 2376]', '[9788, 9788, w + 4823]', '[9788, 9788, w + 4964]', '[9788, 9788, w + 7411]', '[9792, 408, 24*w + 144]', '[9792, 408, 24*w + 240]', '[9792, 816, 12*w + 276]', '[9792, 816, 12*w + 324]', '[9792, 816, 12*w + 480]', '[9792, 816, 12*w + 528]', '[9792, 1632, 6*w + 264]', '[9792, 1632, 6*w + 648]', '[9792, 1632, 6*w + 978]', '[9792, 1632, 6*w + 1362]', '[9792, 3264, 3*w + 948]', '[9792, 3264, 3*w + 1140]', '[9792, 3264, 3*w + 2121]', '[9792, 3264, 3*w + 2313]', '[9793, 9793, w + 2965]', '[9793, 9793, w + 4029]', '[9793, 9793, w + 5763]', '[9793, 9793, w + 6827]', '[9799, 9799, 6*w - 115]', '[9799, 9799, 10*w - 137]', '[9799, 9799, -10*w - 127]', '[9799, 9799, -6*w - 109]', '[9800, 140, 70*w]', '[9800, 140, 70*w + 70]', '[9800, 280, 35*w + 105]', '[9800, 280, 35*w + 140]', '[9800, 980, 10*w + 160]', '[9800, 980, 10*w + 320]', '[9800, 980, 10*w + 650]', '[9800, 980, 10*w + 810]', '[9800, 1960, 5*w + 815]', '[9800, 1960, 5*w + 895]', '[9800, 1960, 5*w + 1060]', '[9800, 1960, 5*w + 1140]', '[9801, 99, -99]', '[9803, 9803, w + 3594]', '[9803, 9803, w + 6208]', '[9805, 9805, -98*w + 899]', '[9805, 9805, -4*w - 103]', '[9805, 9805, 4*w - 107]', '[9805, 9805, 322*w - 2971]', '[9806, 9806, 83*w - 773]', '[9806, 9806, -13*w - 49]', '[9806, 9806, 13*w - 62]', '[9806, 9806, 83*w + 690]', '[9809, 9809, 142*w + 1165]', '[9809, 9809, 112*w - 1039]', '[9809, 9809, -112*w - 927]', '[9809, 9809, 142*w - 1307]', '[9810, 3270, 3*w + 141]', '[9810, 3270, 3*w + 1491]', '[9810, 3270, 3*w + 1776]', '[9810, 3270, 3*w + 3126]', '[9820, 4910, 496*w - 4578]', '[9820, 4910, -64*w + 582]', '[9820, 9820, 57*w - 536]', '[9820, 9820, -3*w - 101]', '[9820, 9820, -3*w + 104]', '[9820, 9820, 57*w + 479]', '[9821, 9821, -76*w - 633]', '[9821, 9821, -18*w + 131]', '[9821, 9821, 18*w + 113]', '[9821, 9821, -76*w + 709]', '[9824, 2456, 68*w - 636]', '[9824, 2456, -12*w - 28]', '[9824, 2456, 12*w - 40]', '[9824, 2456, 68*w + 568]', '[9824, 4912, 54*w + 434]', '[9824, 4912, -34*w - 296]', '[9824, 4912, -34*w + 330]', '[9824, 4912, -54*w + 488]', '[9824, 9824, -w - 99]', '[9824, 9824, 105*w - 964]', '[9824, 9824, -105*w - 859]', '[9824, 9824, -w + 100]', '[9826, 578, -17*w - 102]', '[9826, 578, 17*w + 170]', '[9826, 578, -17*w + 187]', '[9826, 578, -17*w + 119]', '[9826, 9826, -9*w + 131]', '[9826, 9826, -25*w + 207]', '[9826, 9826, -25*w - 182]', '[9826, 9826, 9*w + 122]', '[9830, 9830, 101*w - 938]', '[9830, 9830, 37*w - 326]', '[9830, 9830, 37*w + 289]', '[9830, 9830, 311*w - 2873]', '[9832, 4916, 2*w + 280]', '[9832, 4916, 2*w + 2176]', '[9832, 4916, 2*w + 2738]', '[9832, 4916, 2*w + 4634]', '[9832, 9832, w + 140]', '[9832, 9832, w + 3827]', '[9832, 9832, w + 6004]', '[9832, 9832, w + 9691]', '[9836, 4918, 88*w + 718]', '[9836, 4918, 88*w - 806]', '[9836, 9836, 7*w - 120]', '[9836, 9836, -41*w - 351]', '[9836, 9836, 41*w - 392]', '[9836, 9836, -7*w - 113]', '[9838, 9838, w + 1464]', '[9838, 9838, w + 3454]', '[9838, 9838, w + 6383]', '[9838, 9838, w + 8373]', '[9842, 9842, w + 627]', '[9842, 9842, w + 1367]', '[9842, 9842, w + 1444]', '[9842, 9842, w + 1481]', '[9842, 9842, w + 3439]', '[9842, 9842, w + 3476]', '[9842, 9842, w + 3553]', '[9842, 9842, w + 4293]', '[9842, 9842, w + 5548]', '[9842, 9842, w + 6288]', '[9842, 9842, w + 6365]', '[9842, 9842, w + 6402]', '[9842, 9842, w + 8360]', '[9842, 9842, w + 8397]', '[9842, 9842, w + 8474]', '[9842, 9842, w + 9214]', '[9846, 3282, -15*w - 78]', '[9846, 3282, -21*w - 198]', '[9846, 3282, -21*w + 219]', '[9846, 3282, 15*w - 93]', '[9847, 9847, w + 2258]', '[9847, 9847, w + 3632]', '[9847, 9847, w + 6214]', '[9847, 9847, w + 7588]', '[9865, 9865, w + 2777]', '[9865, 9865, w + 7087]', '[9866, 9866, 5*w - 111]', '[9866, 9866, 33*w - 287]', '[9866, 9866, 33*w + 254]', '[9866, 9866, -5*w - 106]', '[9872, 2468, 4*w + 1096]', '[9872, 2468, 4*w + 1368]', '[9872, 4936, 2*w + 1782]', '[9872, 4936, 2*w + 1918]', '[9872, 4936, 2*w + 3016]', '[9872, 4936, 2*w + 3152]', '[9872, 9872, w + 3427]', '[9872, 9872, w + 4044]', '[9872, 9872, w + 5827]', '[9872, 9872, w + 6444]', '[9881, 9881, 152*w - 1407]', '[9881, 9881, 56*w + 471]', '[9881, 9881, 56*w - 527]', '[9881, 9881, 208*w - 1923]', '[9882, 1098, 9*w + 270]', '[9882, 1098, 9*w + 819]', '[9886, 9886, 171*w - 1582]', '[9886, 9886, 23*w - 186]', '[9886, 9886, 23*w + 163]', '[9886, 9886, 185*w - 1711]', '[9890, 9890, w + 1052]', '[9890, 9890, w + 1742]', '[9890, 9890, w + 3202]', '[9890, 9890, w + 3892]', '[9890, 9890, w + 5997]', '[9890, 9890, w + 6687]', '[9890, 9890, w + 8147]', '[9890, 9890, w + 8837]', '[9891, 3297, 18*w + 177]', '[9891, 3297, 12*w + 27]', '[9891, 3297, -12*w + 39]', '[9891, 3297, 18*w - 195]', '[9892, 4946, 2*w + 314]', '[9892, 4946, 2*w + 4630]', '[9892, 9892, w + 2315]', '[9892, 9892, w + 4788]', '[9892, 9892, w + 5103]', '[9892, 9892, w + 7576]', '[9895, 9895, -42*w + 401]', '[9895, 9895, -742*w + 6851]', '[9896, 4948, -2*w - 100]', '[9896, 4948, 42*w + 332]', '[9896, 4948, 42*w - 374]', '[9896, 4948, 2*w - 102]', '[9896, 9896, 59*w + 476]', '[9896, 9896, 89*w - 828]', '[9896, 9896, -89*w - 739]', '[9896, 9896, 59*w - 535]', '[9901, 9901, -20*w - 191]', '[9901, 9901, 20*w - 211]', '[9904, 2476, -24*w + 244]', '[9904, 2476, -24*w - 220]', '[9904, 4952, -14*w - 64]', '[9904, 4952, 146*w - 1344]', '[9904, 4952, -218*w + 2010]', '[9904, 4952, 14*w - 78]', '[9904, 9904, 15*w + 157]', '[9904, 9904, 95*w - 883]', '[9904, 9904, -333*w + 3076]', '[9904, 9904, 15*w - 172]', '[9908, 4954, 2*w + 526]', '[9908, 4954, 2*w + 4426]', '[9908, 9908, w + 263]', '[9908, 9908, w + 2740]', '[9908, 9908, w + 7167]', '[9908, 9908, w + 9644]', '[9910, 9910, w + 477]', '[9910, 9910, w + 4477]', '[9910, 9910, w + 5432]', '[9910, 9910, w + 9432]', '[9913, 9913, w + 4226]', '[9913, 9913, w + 4824]', '[9913, 9913, w + 5088]', '[9913, 9913, w + 5686]', '[9916, 4958, -28*w - 250]', '[9916, 4958, 16*w - 106]', '[9916, 4958, -16*w - 90]', '[9916, 4958, -28*w + 278]', '[9916, 9916, 117*w - 1085]', '[9916, 9916, -19*w + 203]', '[9916, 9916, -13*w - 48]', '[9916, 9916, -127*w - 1041]', '[9916, 9916, 127*w - 1168]', '[9916, 9916, 13*w - 61]', '[9916, 9916, -19*w - 184]', '[9916, 9916, 117*w + 968]', '[9922, 902, 11*w + 165]', '[9922, 902, 11*w + 275]', '[9922, 902, 11*w + 616]', '[9922, 902, 11*w + 726]', '[9925, 1985, 5*w + 145]', '[9925, 1985, 5*w + 1835]', '[9929, 9929, 26*w + 191]', '[9929, 9929, -26*w + 217]', '[9931, 9931, 52*w + 417]', '[9931, 9931, 52*w - 469]', '[9934, 9934, 55*w - 518]', '[9934, 9934, 67*w - 610]', '[9934, 9934, 67*w + 543]', '[9934, 9934, -55*w - 463]', '[9935, 9935, w + 527]', '[9935, 9935, w + 9407]', '[9937, 9937, w + 4217]', '[9937, 9937, w + 4673]', '[9937, 9937, w + 5263]', '[9937, 9937, w + 5719]', '[9946, 9946, 85*w - 778]', '[9946, 9946, 43*w - 410]', '[9946, 9946, -43*w - 367]', '[9946, 9946, 85*w + 693]', '[9950, 1990, 5*w + 265]', '[9950, 1990, 5*w + 725]', '[9950, 1990, 5*w + 1260]', '[9950, 1990, 5*w + 1720]', '[9953, 9953, w + 3365]', '[9953, 9953, w + 4441]', '[9953, 9953, w + 5511]', '[9953, 9953, w + 6587]', '[9956, 4978, -12*w - 26]', '[9956, 4978, -116*w + 1066]', '[9956, 4978, 276*w - 2546]', '[9956, 4978, 12*w - 38]', '[9956, 9956, -11*w + 144]', '[9956, 9956, 31*w - 304]', '[9956, 9956, 67*w - 627]', '[9956, 9956, -35*w - 304]', '[9956, 9956, -35*w + 339]', '[9956, 9956, 67*w + 560]', '[9956, 9956, 31*w + 273]', '[9956, 9956, -11*w - 133]', '[9959, 9959, -26*w + 261]', '[9959, 9959, 32*w - 277]', '[9959, 9959, 32*w + 245]', '[9959, 9959, -26*w - 235]', '[9967, 9967, w + 4777]', '[9967, 9967, w + 5189]', '[9970, 9970, 19*w - 142]', '[9970, 9970, 217*w - 2006]', '[9970, 9970, 147*w - 1361]', '[9970, 9970, 19*w + 123]', '[9972, 1662, 6*w + 528]', '[9972, 1662, 6*w + 1128]', '[9972, 3324, 3*w + 264]', '[9972, 3324, 3*w + 564]', '[9972, 3324, 3*w + 2757]', '[9972, 3324, 3*w + 3057]', '[9973, 9973, w + 141]', '[9973, 9973, w + 9831]', '[9979, 9979, -54*w - 455]', '[9979, 9979, 44*w - 393]', '[9979, 9979, 44*w + 349]', '[9979, 9979, 54*w - 509]', '[9983, 9983, w + 1890]', '[9983, 9983, w + 2933]', '[9983, 9983, w + 7049]', '[9983, 9983, w + 8092]', '[9989, 9989, 214*w + 1759]', '[9989, 9989, -44*w - 375]', '[9989, 9989, 44*w - 419]', '[9989, 9989, 214*w - 1973]', '[9995, 9995, 122*w - 1131]', '[9995, 9995, 262*w - 2421]', '[9998, 9998, w + 818]', '[9998, 9998, w + 4180]', '[9998, 9998, w + 5817]', '[9998, 9998, w + 9179]', '[10000, 100, 100]', '[10000, 200, -50*w - 400]', '[10000, 200, -50*w + 450]', '[10000, 400, 75*w + 625]', '[10000, 400, -75*w + 700]'], 'label': '2.2.305.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[5, 5, -4*w + 37]', '[7, 7, w + 2]', '[7, 7, w + 4]', '[9, 3, 3]', '[17, 17, w + 6]', '[17, 17, w + 10]', '[19, 19, -2*w + 19]', '[19, 19, -2*w - 17]', '[23, 23, w + 5]', '[23, 23, w + 17]', '[37, 37, w + 1]', '[37, 37, w + 35]', '[41, 41, -22*w + 203]', '[41, 41, -6*w + 55]', '[43, 43, w + 20]', '[43, 43, w + 22]', '[53, 53, w + 13]', '[53, 53, w + 39]', '[61, 61, 14*w - 129]', '[67, 67, w + 14]', '[67, 67, w + 52]', '[109, 109, 2*w - 15]', '[109, 109, -2*w - 13]', '[121, 11, -11]', '[131, 131, 4*w - 35]', '[131, 131, 4*w + 31]', '[149, 149, -4*w - 35]', '[149, 149, -4*w + 39]', '[157, 157, w + 36]', '[157, 157, w + 120]', '[169, 13, -13]', '[173, 173, w + 42]', '[173, 173, w + 130]', '[179, 179, 2*w - 23]', '[179, 179, -2*w - 21]', '[193, 193, w + 21]', '[193, 193, w + 171]', '[199, 199, -16*w + 147]', '[199, 199, 40*w - 369]', '[223, 223, w + 79]', '[223, 223, w + 143]', '[227, 227, w + 43]', '[227, 227, w + 183]', '[229, 229, 10*w + 81]', '[229, 229, 10*w - 91]', '[233, 233, w + 94]', '[233, 233, w + 138]', '[239, 239, 32*w - 295]', '[239, 239, -24*w + 221]', '[241, 241, 2*w - 9]', '[241, 241, -2*w - 7]', '[269, 269, 2*w - 7]', '[269, 269, -2*w - 5]', '[271, 271, 2*w - 25]', '[271, 271, -2*w - 23]', '[277, 277, w + 88]', '[277, 277, w + 188]', '[307, 307, w + 99]', '[307, 307, w + 207]', '[313, 313, w + 26]', '[313, 313, w + 286]', '[337, 337, w + 113]', '[337, 337, w + 223]', '[373, 373, w + 159]', '[373, 373, w + 213]', '[379, 379, 4*w - 31]', '[379, 379, -4*w - 27]', '[383, 383, w + 62]', '[383, 383, w + 320]', '[397, 397, w + 29]', '[397, 397, w + 367]', '[431, 431, 14*w - 131]', '[431, 431, 14*w + 117]', '[433, 433, w + 59]', '[433, 433, w + 373]', '[439, 439, 54*w - 499]', '[439, 439, 26*w - 241]', '[449, 449, -8*w - 69]', '[449, 449, -8*w + 77]', '[457, 457, w + 176]', '[457, 457, w + 280]', '[461, 461, -4*w - 39]', '[461, 461, 4*w - 43]', '[467, 467, w + 133]', '[467, 467, w + 333]', '[479, 479, 2*w - 29]', '[479, 479, -2*w - 27]', '[491, 491, -4*w - 25]', '[491, 491, 4*w - 29]', '[523, 523, w + 33]', '[523, 523, w + 489]', '[547, 547, w + 224]', '[547, 547, w + 322]', '[557, 557, w + 34]', '[557, 557, w + 522]', '[569, 569, 10*w - 89]', '[569, 569, 10*w + 79]', '[571, 571, 20*w + 163]', '[571, 571, 20*w - 183]', '[577, 577, w + 68]', '[577, 577, w + 508]', '[587, 587, w + 128]', '[587, 587, w + 458]', '[593, 593, w + 77]', '[593, 593, w + 515]', '[601, 601, -24*w + 223]', '[601, 601, 80*w - 739]', '[617, 617, w + 274]', '[617, 617, w + 342]', '[619, 619, -6*w + 61]', '[619, 619, -6*w - 55]', '[643, 643, w + 268]', '[643, 643, w + 374]', '[647, 647, w + 230]', '[647, 647, w + 416]', '[653, 653, w + 135]', '[653, 653, w + 517]', '[659, 659, 62*w - 573]', '[659, 659, 34*w - 315]', '[673, 673, w + 82]', '[673, 673, w + 590]', '[677, 677, w + 275]', '[677, 677, w + 401]', '[691, 691, -4*w - 21]', '[691, 691, 4*w - 25]', '[719, 719, 2*w - 33]', '[719, 719, -2*w - 31]', '[743, 743, w + 144]', '[743, 743, w + 598]', '[751, 751, 16*w + 129]', '[751, 751, 16*w - 145]', '[787, 787, w + 231]', '[787, 787, w + 555]', '[809, 809, 6*w - 47]', '[809, 809, -6*w - 41]', '[823, 823, w + 41]', '[823, 823, w + 781]', '[829, 829, 20*w - 187]', '[829, 829, 20*w + 167]', '[839, 839, -10*w + 97]', '[839, 839, -10*w - 87]', '[841, 29, -29]', '[859, 859, -4*w - 17]', '[859, 859, 4*w - 21]', '[877, 877, w + 187]', '[877, 877, w + 689]', '[881, 881, 32*w + 265]', '[881, 881, -32*w + 297]', '[883, 883, w + 84]', '[883, 883, w + 798]', '[887, 887, w + 352]', '[887, 887, w + 534]', '[907, 907, w + 248]', '[907, 907, w + 658]', '[911, 911, 8*w + 59]', '[911, 911, -8*w + 67]', '[919, 919, 70*w - 647]', '[919, 919, 42*w - 389]', '[929, 929, 16*w - 151]', '[929, 929, 16*w + 135]', '[947, 947, w + 379]', '[947, 947, w + 567]', '[953, 953, w + 190]', '[953, 953, w + 762]', '[961, 31, -31]', '[971, 971, 60*w - 553]', '[971, 971, -52*w + 479]', '[983, 983, w + 310]', '[983, 983, w + 672]', '[991, 991, 2*w - 37]', '[991, 991, -2*w - 35]', '[997, 997, w + 45]', '[997, 997, w + 951]']}
• 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': [-76, -1, 1], 'conductor': 305, 'degree': 2, 'dirichlet_group': [1, 304], 'disc_abs': 305, 'disc_rad': 305, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [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': 17.46424919657298, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.305.1', 'local_algs': ['5.2.1.1', '61.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 61], 'rd': 17.4642491966, 'regulator': {'__RealLiteral__': 0, 'data': '6.88550862454', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 56 a + 461 \\)'], 'used_grh': False, 'zk': ['1', 'a']}