Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
3.1.14444953770624300.20 | $x^{3} - 60554418540$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4332]$ |
3.1.21508202782377675.58 | $x^{3} - 592706205$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 15690]$ |
3.1.23605374482246700.12 | $x^{3} - 50413627550$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 5286]$ |
3.1.41511005444933388.27 | $x^{3} - 121316550628$ | $-\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4326]$ |
3.1.42035315297906700.86 | $x^{3} - 8246535990$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4665]$ |
3.1.43599287189472300.51 | $x^{3} - 120553290$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4410]$ |
3.1.45943557422712075.36 | $x^{3} - 18026518755$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 12, 1692]$ |
3.1.55166530481762700.39 | $x^{3} - x^{2} - 45201823 x + 148432742977$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 816]$ |
3.1.82558048304354700.15 | $x^{3} - 264593864150$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 6, 4776]$ |
3.1.120432545080850700.25 | $x^{3} - 29185792270$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 5256]$ |
3.1.124124693583966075.15 | $x^{3} - 120078643685$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 2868]$ |
3.1.149311285934510700.62 | $x^{3} - 575207783150$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 1386]$ |
3.1.227484413791142508.19 | $x^{3} - 495113631012$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4662]$ |
3.1.247922573899898700.6 | $x^{3} - 791988748650$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4515]$ |
3.1.271244131915056300.1 | $x^{3} - 1003303601300$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 5187]$ |
3.1.340861607523642348.6 | $x^{3} - 860331469426$ | $-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 5004]$ |
3.1.347841527620286700.59 | $x^{3} - 125421245950$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 2466]$ |
3.1.347841527620286700.78 | $x^{3} - 32461969540$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 6120]$ |
3.1.426906880015729932.80 | $x^{3} - 55578518268$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 7761]$ |
3.1.582893518191317388.1 | $x^{3} - 1780947766202$ | $-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 6, 4662]$ |
3.1.649233861198597675.1 | $x^{3} - 128045190 x - 1869474400885$ | $-\,3^{4}\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19\cdot 23\cdot 29\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 14634]$ |
3.1.743022434739192300.12 | $x^{3} - 2102318520610$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 12, 840]$ |
3.1.743022434739192300.51 | $x^{3} - 267082207700$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 3078]$ |
3.1.889467271703705772.88 | $x^{3} - 61892422746$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 6, 9924]$ |
3.1.894316698093894075.8 | $x^{3} - 1904596668975$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 5346]$ |
3.1.922560916929233868.55 | $x^{3} - 888566153046$ | $-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 6, 10344]$ |
3.1.103...700.30 | $x^{3} - 966532958300$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 3747]$ |
3.1.105...628.71 | $x^{3} - 149975775378$ | $-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 21216]$ |
3.1.134...300.248 | $x^{3} - 395097472770$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 4095]$ |
3.1.191...675.98 | $x^{3} - 57720989865$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 15018]$ |
3.1.191...675.119 | $x^{3} - 6117892935$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 4356]$ |
3.1.197...300.70 | $x^{3} - 39245979850$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 3066]$ |
3.1.247...700.63 | $x^{3} - 76533641030$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 1449]$ |
3.1.256...300.16 | $x^{3} - 3388886930$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 1008]$ |
3.1.276...700.43 | $x^{3} - 478210419050$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 6774]$ |
3.1.3067754467712781132.3 | $x^{3} - 5757602910774$ | $-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 35724]$ |
3.1.313...300.84 | $x^{3} - 1925585011350$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 9, 4140]$ |
3.1.313...300.166 | $x^{3} - 385117002270$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 3642]$ |
3.1.345...300.42 | $x^{3} - 575583581300$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 12462]$ |
3.1.357...300.256 | $x^{3} - 363993630$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 6498]$ |
3.1.445...675.116 | $x^{3} - 14209751325$ | $-\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6330]$ |
3.1.446...700.162 | $x^{3} - 301450959810$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 3510]$ |
3.1.524...492.112 | $x^{3} - 25125160302$ | $-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 6, 4530]$ |
3.1.568...700.177 | $x^{3} - 213411047850$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 1863]$ |
3.1.590...300.31 | $x^{3} - 1827952252700$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 4239]$ |
3.1.598...140.11 | $x^{3} - 46399188 x - 7028750061388$ | $-\,2^{2}\cdot 3^{4}\cdot 5\cdot 11^{2}\cdot 13\cdot 17^{2}\cdot 19\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6084]$ |
3.1.658...675.46 | $x^{3} - 1874697192225$ | $-\,3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 9144]$ |
3.1.668...700.184 | $x^{3} - 132379876860$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 768]$ |
3.1.682...300.80 | $x^{3} - 11561131010$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 3, 3519]$ |
3.1.710...300.141 | $x^{3} - 667851043860$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 6, 1398]$ |