| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 3.1.648.1 |
$x^{3} - 3 x - 10$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 3^{4}$ |
$2$ |
$8.65349742184$ |
$12.237893415933033$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$2.23354828774$ |
| 3.1.3564.1 |
$x^{3} - 12 x - 28$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 11$ |
$3$ |
$15.274930109$ |
$22.779525808351707$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$3.03776019659$ |
| 3.3.3969.2 |
$x^{3} - 21 x - 35$ |
$3$ |
(3, 0) |
$3^{4}\cdot 7^{2}$ |
$2$ |
$15.8328962637$ |
$15.83289626371223$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$4.20169004224$ |
| 3.3.6885.1 |
$x^{3} - 12 x - 1$ |
$3$ |
(3, 0) |
$3^{4}\cdot 5\cdot 17$ |
$3$ |
$19.0239771162$ |
$39.890652095882146$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$8.95099631133$ |
| 3.1.7695.1 |
$x^{3} - 3 x - 17$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 5\cdot 19$ |
$3$ |
$19.7425330957$ |
$42.17192986702622$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$3.162126483$ |
| 3.1.8667.3 |
$x^{3} + 15 x - 28$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 107$ |
$2$ |
$20.5410638327$ |
$44.75623667824389$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$7.37528639852$ |
| 3.3.8829.1 |
$x^{3} - 21 x - 8$ |
$3$ |
(3, 0) |
$3^{4}\cdot 109$ |
$2$ |
$20.6682563236$ |
$45.17258272906164$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$9.93369507729$ |
| 3.1.10611.1 |
$x^{3} + 6 x - 19$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 131$ |
$2$ |
$21.9744883339$ |
$49.521902501602206$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$2.87150161037$ |
| 3.1.11340.2 |
$x^{3} - 12 x - 26$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 5\cdot 7$ |
$4$ |
$22.4666171617$ |
$40.63332472677574$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$8.66544228445$ |
| 3.1.11583.1 |
$x^{3} - 9 x - 63$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 11\cdot 13$ |
$3$ |
$22.6259601965$ |
$51.74038925508582$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$4.90593297067$ |
| 3.1.12555.1 |
$x^{3} - 12 x - 109$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 5\cdot 31$ |
$3$ |
$23.241932685$ |
$53.867587036708876$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$9.23249208602$ |
| 3.1.13527.1 |
$x^{3} + 15 x - 1$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 167$ |
$2$ |
$23.8268792191$ |
$55.913915853274055$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$2.70834627816$ |
| 3.3.13689.1 |
$x^{3} - 39 x - 26$ |
$3$ |
(3, 0) |
$3^{4}\cdot 13^{2}$ |
$2$ |
$23.9216192981$ |
$23.921619298064325$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$26.7030363203$ |
| 3.3.13932.1 |
$x^{3} - 30 x - 44$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 43$ |
$3$ |
$24.0623379424$ |
$56.74477736395084$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$16.7414179812$ |
| 3.1.14499.1 |
$x^{3} + 18 x - 63$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 179$ |
$2$ |
$24.3844342179$ |
$57.88795245071825$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$7.23201503743$ |
| 3.1.15471.1 |
$x^{3} + 33 x - 62$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 191$ |
$2$ |
$24.917595344$ |
$59.79685687246633$ |
|
|
|
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$10.6383285184$ |
| 3.1.19116.3 |
$x^{3} - 12 x - 134$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 59$ |
$3$ |
$26.7382106608$ |
$52.75630162027896$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$9.96038695042$ |
| 3.3.19764.1 |
$x^{3} - 36 x - 18$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 61$ |
$3$ |
$27.0369863476$ |
$53.64302425144735$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$9.5515200471$ |
| 3.1.20088.1 |
$x^{3} - 21 x - 46$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 3^{4}\cdot 31$ |
$3$ |
$27.1839293765$ |
$68.13770683734411$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$16.9639850771$ |
| 3.1.24219.1 |
$x^{3} - 9 x - 180$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 13\cdot 23$ |
$3$ |
$28.9324627334$ |
$74.81647925312093$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$15.0523897588$ |
| 3.1.24948.1 |
$x^{3} - 3 x - 152$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 7\cdot 11$ |
$4$ |
$29.2198901201$ |
$75.9341317030746$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$20.4259414868$ |
| 3.1.26892.2 |
$x^{3} + 24 x - 44$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 83$ |
$3$ |
$29.9599465478$ |
$62.573058443295636$ |
|
|
|
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$5.60991433112$ |
| 3.3.27297.1 |
$x^{3} - 21 x - 19$ |
$3$ |
(3, 0) |
$3^{4}\cdot 337$ |
$2$ |
$30.1095991136$ |
$79.4285479869576$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$8.36206248936$ |
| 3.1.28107.1 |
$x^{3} - 30 x - 71$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 347$ |
$2$ |
$30.4045209112$ |
$80.59839811926226$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$11.2779875445$ |
| 3.1.29079.1 |
$x^{3} - 9 x - 99$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 359$ |
$2$ |
$30.7510410118$ |
$81.98018560774733$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$4.59450813792$ |
| 3.3.29241.1 |
$x^{3} - 57 x - 152$ |
$3$ |
(3, 0) |
$3^{4}\cdot 19^{2}$ |
$2$ |
$30.8080402914$ |
$30.80804029142189$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$39.6683040644$ |
| 3.1.31995.1 |
$x^{3} + 18 x - 99$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 5\cdot 79$ |
$3$ |
$31.7463674105$ |
$85.99242984675755$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$15.2782005225$ |
| 3.1.33939.1 |
$x^{3} + 6 x - 35$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 419$ |
$2$ |
$32.3767322657$ |
$88.5663372660783$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[12]$ |
$[12]$ |
$2$ |
$1$ |
$5.50572795661$ |
| 3.1.36855.1 |
$x^{3} - 3 x - 37$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 5\cdot 7\cdot 13$ |
$4$ |
$33.2786325059$ |
$92.29270423710396$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$9.48797329659$ |
| 3.1.40743.1 |
$x^{3} + 15 x - 271$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 503$ |
$2$ |
$34.4099732215$ |
$97.03885544953614$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$7.48714732986$ |
| 3.3.43092.1 |
$x^{3} - 48 x - 100$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 7\cdot 19$ |
$4$ |
$35.0589482805$ |
$79.20893193154481$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$19.0652196348$ |
| 3.1.46575.2 |
$x^{3} + 15 x - 80$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 5^{2}\cdot 23$ |
$3$ |
$35.9791545987$ |
$60.674414460686926$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$43.3975791713$ |
| 3.3.48924.1 |
$x^{3} - 63 x - 144$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 151$ |
$3$ |
$36.5741284512$ |
$106.33595658153526$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$29.4995008941$ |
| 3.1.52164.1 |
$x^{3} - 3 x - 44$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 7\cdot 23$ |
$4$ |
$37.3643096087$ |
$109.80057303315333$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$13.4532644083$ |
| 3.1.52407.1 |
$x^{3} + 45 x - 63$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 647$ |
$2$ |
$37.4222388636$ |
$110.0560225595639$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$10.166121464$ |
| 3.3.56700.1 |
$x^{3} - 75 x - 170$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 5^{2}\cdot 7$ |
$4$ |
$38.4173749496$ |
$66.94539240050415$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$42.7627793029$ |
| 3.1.57996.1 |
$x^{3} + 6 x - 46$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 179$ |
$3$ |
$38.7078765291$ |
$91.89139661655527$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$1$ |
$3.5046983464$ |
| 3.1.57996.2 |
$x^{3} + 24 x - 10$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 179$ |
$3$ |
$38.7078765291$ |
$91.89139661655527$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3, 3]$ |
$[3, 3]$ |
$2$ |
$1$ |
$6.5665715313$ |
| 3.1.58239.1 |
$x^{3} - 21 x - 100$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 719$ |
$2$ |
$38.7618624799$ |
$116.0181986542149$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$60.0567520978$ |
| 3.1.59940.1 |
$x^{3} + 33 x - 224$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 5\cdot 37$ |
$4$ |
$39.1356225006$ |
$117.70028998063549$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$38.7646418965$ |
| 3.1.63099.1 |
$x^{3} + 24 x - 17$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 19\cdot 41$ |
$3$ |
$39.8114038515$ |
$120.76202914582423$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$18.1040588041$ |
| 3.1.64071.1 |
$x^{3} - 3 x - 341$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 7\cdot 113$ |
$3$ |
$40.0147862002$ |
$121.68860561411041$ |
|
|
|
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$5.14084197946$ |
| 3.3.64476.1 |
$x^{3} - 39 x - 80$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{4}\cdot 199$ |
$3$ |
$40.0989218268$ |
$122.07260343067908$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$51.8763252464$ |
| 3.3.65448.1 |
$x^{3} - 75 x - 154$ |
$3$ |
(3, 0) |
$2^{3}\cdot 3^{4}\cdot 101$ |
$3$ |
$40.2994197693$ |
$122.98930669466125$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$44.9964395656$ |
| 3.1.65772.2 |
$x^{3} - 48 x - 278$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 7\cdot 29$ |
$4$ |
$40.3658110257$ |
$97.85800454964993$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$18.7251842027$ |
| 3.1.66744.1 |
$x^{3} - 21 x - 62$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 3^{4}\cdot 103$ |
$3$ |
$40.5636858105$ |
$124.20105326346038$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[15]$ |
$[15]$ |
$2$ |
$1$ |
$5.41615974397$ |
| 3.1.67716.1 |
$x^{3} + 6 x - 100$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3^{4}\cdot 11\cdot 19$ |
$4$ |
$40.7596486869$ |
$125.1021609910977$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$39.4774607652$ |
| 3.1.68931.1 |
$x^{3} - 12 x - 53$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 23\cdot 37$ |
$3$ |
$41.0019828508$ |
$126.21949928895509$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$7.26406544961$ |
| 3.1.69903.1 |
$x^{3} + 45 x - 99$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 863$ |
$2$ |
$41.1938077852$ |
$127.10629824538255$ |
|
|
|
$S_3$ (as 3T2) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$4.04489825531$ |
| 3.3.71037.1 |
$x^{3} - 30 x - 37$ |
$3$ |
(3, 0) |
$3^{4}\cdot 877$ |
$2$ |
$41.4153692149$ |
$128.13314019155496$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[6]$ |
$2$ |
$2$ |
$26.9467648878$ |
