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Label Polynomial Discriminant Galois group Class group Regulator
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) $[3, 3, 3, 3, 3, 4332]$ $22.044238667256653$
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) $[3, 3, 3, 3, 15690]$ $28.299286361499306$
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) $[3, 3, 3, 3, 3, 5286]$ $28.438271604806094$
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) $[3, 3, 3, 3, 3, 4326]$ $29.64969970722539$
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) $[3, 3, 3, 3, 3, 4665]$ $27.44969437915263$
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) $[3, 3, 3, 3, 3, 4410]$ $28.105974836993422$
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) $[3, 3, 3, 3, 12, 1692]$ $24.00906727618924$
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) $[3, 3, 3, 3, 3, 6, 816]$ $45.6964619511761$
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) $[3, 3, 3, 3, 6, 4776]$ $35.15183665244841$
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) $[3, 3, 3, 3, 3, 5256]$ $33.43217943227979$
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) $[3, 3, 3, 3, 3, 3, 2868]$ $31.214087871535487$
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) $[3, 3, 3, 3, 3, 3, 1386]$ $57.05187111006188$
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) $[3, 3, 3, 3, 3, 4662]$ $62.68127313953909$
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) $[3, 3, 3, 3, 3, 4515]$ $121.65426406584022$
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) $[3, 3, 3, 3, 3, 3, 5187]$ $19.521591698662217$
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) $[3, 3, 3, 3, 3, 5004]$ $72.28416120691988$
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) $[3, 3, 3, 3, 3, 3, 2466]$ $57.95573915717498$
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) $[3, 3, 3, 3, 3, 3, 6120]$ $27.187638650836$
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) $[3, 3, 3, 3, 3, 7761]$ $55.250546225978354$
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) $[3, 3, 3, 6, 6, 4662]$ $22.101308893742285$
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) $[3, 3, 3, 3, 14634]$ $170.13615180302136$
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) $[3, 3, 3, 3, 3, 12, 840]$ $44.20986077258787$
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) $[3, 3, 3, 3, 3, 6, 3078]$ $24.18432825610798$
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) $[3, 3, 3, 3, 6, 9924]$ $31.20137473450208$
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) $[3, 3, 3, 3, 3, 5346]$ $169.19857641624588$
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) $[3, 3, 3, 3, 6, 10344]$ $23.024030515491063$
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) $[3, 3, 3, 3, 3, 3, 3747]$ $55.14052201244601$
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) $[3, 3, 3, 3, 3, 21216]$ $28.235305156296825$
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) $[3, 3, 3, 3, 3, 3, 4095]$ $55.38662747344663$
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) $[3, 3, 3, 3, 3, 15018]$ $74.6525356358059$
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) $[3, 3, 3, 3, 3, 4356]$ $275.7562300923806$
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) $[3, 3, 3, 3, 3, 3, 3066]$ $122.08432319667105$
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) $[3, 3, 3, 3, 3, 3, 1449]$ $227.10534680782905$
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) $[3, 3, 3, 3, 3, 6, 1008]$ $146.58235347662645$
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) $[3, 3, 3, 3, 3, 6, 6774]$ $28.85279890639441$
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) $[3, 3, 3, 3, 3, 35724]$ $50.924973027415305$
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) $[3, 3, 3, 3, 3, 9, 4140]$ $26.94912560219195$
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) $[3, 3, 3, 3, 3, 3, 3642]$ $113.09860239636879$
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) $[3, 3, 3, 3, 3, 3, 12462]$ $30.413468946132042$
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) $[3, 3, 3, 3, 3, 6, 6498]$ $29.57936675379223$
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) $[3, 3, 3, 3, 3, 6330]$ $206.81643465975526$
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) $[3, 3, 3, 3, 3, 3, 3510]$ $130.72137927618138$
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) $[3, 3, 3, 3, 6, 4530]$ $151.7583495060897$
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) $[3, 3, 3, 3, 3, 3, 1863]$ $265.9824458556249$
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) $[3, 3, 3, 3, 3, 3, 4239]$ $123.96894901004552$
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) $[3, 3, 3, 3, 3, 6084]$ $310.62651370240053$
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) $[3, 3, 3, 3, 3, 9144]$ $214.41477828606466$
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) $[3, 3, 3, 3, 3, 6, 768]$ $320.46721393768075$
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) $[3, 3, 3, 3, 3, 3, 3519]$ $135.23035693314242$
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) $[3, 3, 3, 3, 3, 6, 1398]$ $187.09604395931163$
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