| 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 |
| 3.3.49.1 |
$x^{3} - x^{2} - 2 x + 1$ |
$3$ |
[3,0] |
$7^{2}$ |
$1$ |
$3.65930571002$ |
$3.6593057100229713$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$0.525454682123$ |
| 3.3.81.1 |
$x^{3} - 3 x - 1$ |
$3$ |
[3,0] |
$3^{4}$ |
$1$ |
$4.32674871092$ |
$4.326748710922225$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$0.849287450646$ |
| 3.3.169.1 |
$x^{3} - x^{2} - 4 x - 1$ |
$3$ |
[3,0] |
$13^{2}$ |
$1$ |
$5.52877481368$ |
$5.528774813678872$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$1.36504986759$ |
| 3.3.361.1 |
$x^{3} - x^{2} - 6 x + 7$ |
$3$ |
[3,0] |
$19^{2}$ |
$1$ |
$7.1203673589$ |
$7.120367358901993$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$1.95215669651$ |
| 3.3.961.1 |
$x^{3} - x^{2} - 10 x + 8$ |
$3$ |
[3,0] |
$31^{2}$ |
$1$ |
$9.86827240322$ |
$9.868272403218974$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$12.1957819126$ |
| 3.3.1369.1 |
$x^{3} - x^{2} - 12 x - 11$ |
$3$ |
[3,0] |
$37^{2}$ |
$1$ |
$11.1037024686$ |
$11.103702468586786$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$3.12623019091$ |
| 3.3.1849.1 |
$x^{3} - x^{2} - 14 x - 8$ |
$3$ |
[3,0] |
$43^{2}$ |
$1$ |
$12.2737979695$ |
$12.27379796952146$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$18.9218643829$ |
| 3.3.3721.1 |
$x^{3} - x^{2} - 20 x + 9$ |
$3$ |
[3,0] |
$61^{2}$ |
$1$ |
$15.4960100726$ |
$15.496010072571345$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$13.7085420731$ |
| 3.3.3969.1 |
$x^{3} - 21 x - 28$ |
$3$ |
[3,0] |
$3^{4}\cdot 7^{2}$ |
$2$ |
$15.8328962637$ |
$15.83289626371223$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$12.5941889569$ |
| 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) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$4.20169004224$ |
| 3.3.4489.1 |
$x^{3} - x^{2} - 22 x - 5$ |
$3$ |
[3,0] |
$67^{2}$ |
$1$ |
$16.4961729722$ |
$16.49617297223391$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$19.7033299804$ |
| 3.3.5329.1 |
$x^{3} - x^{2} - 24 x + 27$ |
$3$ |
[3,0] |
$73^{2}$ |
$1$ |
$17.4668761184$ |
$17.46687611840852$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$19.2479702994$ |
| 3.3.6241.1 |
$x^{3} - x^{2} - 26 x - 41$ |
$3$ |
[3,0] |
$79^{2}$ |
$1$ |
$18.4113115702$ |
$18.411311570202443$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$4.69754515448$ |
| 3.3.8281.1 |
$x^{3} - x^{2} - 30 x + 64$ |
$3$ |
[3,0] |
$7^{2}\cdot 13^{2}$ |
$2$ |
$20.2314772451$ |
$20.23147724512629$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$15.6222994475$ |
| 3.3.8281.2 |
$x^{3} - x^{2} - 30 x - 27$ |
$3$ |
[3,0] |
$7^{2}\cdot 13^{2}$ |
$2$ |
$20.2314772451$ |
$20.23147724512629$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$7.94957796855$ |
| 3.3.9409.1 |
$x^{3} - x^{2} - 32 x + 79$ |
$3$ |
[3,0] |
$97^{2}$ |
$1$ |
$21.1112762888$ |
$21.111276288848167$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$5.16758187251$ |
| 3.3.10609.1 |
$x^{3} - x^{2} - 34 x + 61$ |
$3$ |
[3,0] |
$103^{2}$ |
$1$ |
$21.9731076366$ |
$21.973107636570678$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$23.5890805008$ |
| 3.3.11881.1 |
$x^{3} - x^{2} - 36 x + 4$ |
$3$ |
[3,0] |
$109^{2}$ |
$1$ |
$22.8183549743$ |
$22.818354974292447$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$53.1913428745$ |
| 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) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$26.7030363203$ |
| 3.3.13689.2 |
$x^{3} - 39 x - 91$ |
$3$ |
[3,0] |
$3^{4}\cdot 13^{2}$ |
$2$ |
$23.9216192981$ |
$23.921619298064325$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$5.61392117258$ |
| 3.3.16129.1 |
$x^{3} - x^{2} - 42 x - 80$ |
$3$ |
[3,0] |
$127^{2}$ |
$1$ |
$25.2659605656$ |
$25.265960565646655$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$87.9691107368$ |
| 3.3.17689.1 |
$x^{3} - x^{2} - 44 x - 69$ |
$3$ |
[3,0] |
$7^{2}\cdot 19^{2}$ |
$2$ |
$26.0556009339$ |
$26.05560093389125$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$10.8673488573$ |
| 3.3.17689.2 |
$x^{3} - x^{2} - 44 x + 64$ |
$3$ |
[3,0] |
$7^{2}\cdot 19^{2}$ |
$2$ |
$26.0556009339$ |
$26.05560093389125$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$32.4707206114$ |
| 3.3.19321.1 |
$x^{3} - x^{2} - 46 x - 103$ |
$3$ |
[3,0] |
$139^{2}$ |
$1$ |
$26.8334512124$ |
$26.83345121235546$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$6.03865725553$ |
| 3.3.22801.1 |
$x^{3} - x^{2} - 50 x + 123$ |
$3$ |
[3,0] |
$151^{2}$ |
$1$ |
$28.3564133357$ |
$28.35641333567881$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$31.6994924521$ |
| 3.3.24649.1 |
$x^{3} - x^{2} - 52 x - 64$ |
$3$ |
[3,0] |
$157^{2}$ |
$1$ |
$29.1026878793$ |
$29.102687879321486$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$94.448123851$ |
| 3.3.26569.1 |
$x^{3} - x^{2} - 54 x + 169$ |
$3$ |
[3,0] |
$163^{2}$ |
$1$ |
$29.8395133693$ |
$29.839513369337443$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$2$ |
$6.44373488223$ |
| 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) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$39.6683040644$ |
| 3.3.29241.2 |
$x^{3} - 57 x - 19$ |
$3$ |
[3,0] |
$3^{4}\cdot 19^{2}$ |
$2$ |
$30.8080402914$ |
$30.80804029142189$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$9.7184036612$ |
| 3.3.32761.1 |
$x^{3} - x^{2} - 60 x + 67$ |
$3$ |
[3,0] |
$181^{2}$ |
$1$ |
$31.9977211919$ |
$31.997721191890317$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$32.4775171117$ |
| 3.3.37249.1 |
$x^{3} - x^{2} - 64 x - 143$ |
$3$ |
[3,0] |
$193^{2}$ |
$1$ |
$33.3968013$ |
$33.39680130004012$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$53.86198909$ |
| 3.3.39601.1 |
$x^{3} - x^{2} - 66 x - 59$ |
$3$ |
[3,0] |
$199^{2}$ |
$1$ |
$34.0854253267$ |
$34.08542532669919$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$28.6428679564$ |
| 3.3.44521.1 |
$x^{3} - x^{2} - 70 x + 125$ |
$3$ |
[3,0] |
$211^{2}$ |
$1$ |
$35.4422787441$ |
$35.44227874406977$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$34.0692335437$ |
| 3.3.47089.1 |
$x^{3} - x^{2} - 72 x - 209$ |
$3$ |
[3,0] |
$7^{2}\cdot 31^{2}$ |
$2$ |
$36.1110255532$ |
$36.111025553161305$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$7.20175214028$ |
| 3.3.47089.2 |
$x^{3} - x^{2} - 72 x + 225$ |
$3$ |
[3,0] |
$7^{2}\cdot 31^{2}$ |
$2$ |
$36.1110255532$ |
$36.111025553161305$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$28.2044620655$ |
| 3.3.49729.1 |
$x^{3} - x^{2} - 74 x + 256$ |
$3$ |
[3,0] |
$223^{2}$ |
$1$ |
$36.7736362055$ |
$36.773636205508055$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$153.802604323$ |
| 3.3.52441.1 |
$x^{3} - x^{2} - 76 x + 212$ |
$3$ |
[3,0] |
$229^{2}$ |
$1$ |
$37.4303299015$ |
$37.43032990148212$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$138.325402599$ |
| 3.3.58081.1 |
$x^{3} - x^{2} - 80 x - 125$ |
$3$ |
[3,0] |
$241^{2}$ |
$1$ |
$38.7267776225$ |
$38.7267776225012$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$32.0497101806$ |
| 3.3.61009.1 |
$x^{3} - x^{2} - 82 x + 64$ |
$3$ |
[3,0] |
$13^{2}\cdot 19^{2}$ |
$2$ |
$39.366907718$ |
$39.36690771803849$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$100.376078909$ |
| 3.3.61009.2 |
$x^{3} - x^{2} - 82 x + 311$ |
$3$ |
[3,0] |
$13^{2}\cdot 19^{2}$ |
$2$ |
$39.366907718$ |
$39.36690771803849$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$7.55764880123$ |
| 3.3.67081.1 |
$x^{3} - x^{2} - 86 x - 48$ |
$3$ |
[3,0] |
$7^{2}\cdot 37^{2}$ |
$2$ |
$40.6318418457$ |
$40.63184184569579$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$110.38849058$ |
| 3.3.67081.2 |
$x^{3} - x^{2} - 86 x + 211$ |
$3$ |
[3,0] |
$7^{2}\cdot 37^{2}$ |
$2$ |
$40.6318418457$ |
$40.63184184569579$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$14.0669691696$ |
| 3.3.73441.1 |
$x^{3} - x^{2} - 90 x - 261$ |
$3$ |
[3,0] |
$271^{2}$ |
$1$ |
$41.877382355$ |
$41.87738235499276$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$73.3461568735$ |
| 3.3.76729.1 |
$x^{3} - x^{2} - 92 x - 236$ |
$3$ |
[3,0] |
$277^{2}$ |
$1$ |
$42.4932399859$ |
$42.49323998594522$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$2$ |
$35.7664882467$ |
| 3.3.77841.1 |
$x^{3} - 93 x - 217$ |
$3$ |
[3,0] |
$3^{4}\cdot 31^{2}$ |
$2$ |
$42.6975348997$ |
$42.697534899657064$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$24.4911059318$ |
| 3.3.77841.2 |
$x^{3} - 93 x - 341$ |
$3$ |
[3,0] |
$3^{4}\cdot 31^{2}$ |
$2$ |
$42.6975348997$ |
$42.697534899657064$ |
|
✓ |
✓ |
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$7.89983233866$ |
| 3.3.80089.1 |
$x^{3} - x^{2} - 94 x - 304$ |
$3$ |
[3,0] |
$283^{2}$ |
$1$ |
$43.1046666028$ |
$43.10466660280482$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$127.228666153$ |
| 3.3.90601.1 |
$x^{3} - x^{2} - 100 x + 379$ |
$3$ |
[3,0] |
$7^{2}\cdot 43^{2}$ |
$2$ |
$44.9135789935$ |
$44.91357899353824$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$21.430625417$ |
| 3.3.90601.2 |
$x^{3} - x^{2} - 100 x - 223$ |
$3$ |
[3,0] |
$7^{2}\cdot 43^{2}$ |
$2$ |
$44.9135789935$ |
$44.91357899353824$ |
|
✓ |
|
$C_3$ (as 3T1) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$16.8478137931$ |
| 3.3.94249.1 |
$x^{3} - x^{2} - 102 x + 216$ |
$3$ |
[3,0] |
$307^{2}$ |
$1$ |
$45.5084716343$ |
$45.50847163434041$ |
|
✓ |
|
$C_3$ (as 3T1) |
trivial |
trivial |
$2$ |
$2$ |
$394.911052443$ |