| 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 |
Unit signature rank |
Max $p$ |
| 3.1.515.1 |
$x^{3} - x^{2} - x - 4$ |
$3$ |
(1, 1) |
$-\,5\cdot 103$ |
$2$ |
$8.01559458138$ |
$22.693611435820433$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$3.64581232691$ |
$1$ |
$103$ |
| 3.1.1236.1 |
$x^{3} - x^{2} + 4 x + 12$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3\cdot 103$ |
$3$ |
$10.7318062545$ |
$35.156791662493895$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$11.525634303$ |
$1$ |
$103$ |
| 3.1.1751.1 |
$x^{3} - x^{2} - 4 x - 23$ |
$3$ |
(1, 1) |
$-\,17\cdot 103$ |
$2$ |
$12.0530062574$ |
$41.84495190581536$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$6.654144219$ |
$1$ |
$103$ |
| 3.3.1957.1 |
$x^{3} - x^{2} - 9 x + 10$ |
$3$ |
(3, 0) |
$19\cdot 103$ |
$2$ |
$12.5082612057$ |
$44.23799272118933$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[2]$ |
$[4]$ |
$2$ |
$2$ |
$4.5514507373$ |
$2$ |
$103$ |
| 3.1.2472.1 |
$x^{3} - x^{2} - 8 x + 24$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 3\cdot 103$ |
$3$ |
$13.5212286035$ |
$49.71921157862421$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$19.0158034288$ |
$1$ |
$103$ |
| 3.1.2575.1 |
$x^{3} - 5 x - 20$ |
$3$ |
(1, 1) |
$-\,5^{2}\cdot 103$ |
$2$ |
$13.7064739325$ |
$29.675538959528588$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$24.6137459227$ |
$1$ |
$103$ |
| 3.1.4120.1 |
$x^{3} - x^{2} - 11 x - 25$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 5\cdot 103$ |
$3$ |
$16.0311891628$ |
$64.18722614352485$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$22.6634106746$ |
$1$ |
$103$ |
| 3.3.4841.1 |
$x^{3} - x^{2} - 16 x + 27$ |
$3$ |
(3, 0) |
$47\cdot 103$ |
$2$ |
$16.9165460072$ |
$69.57729514719583$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$9.10662727248$ |
$3$ |
$103$ |
| 3.1.5047.1 |
$x^{3} - x^{2} - 2 x - 13$ |
$3$ |
(1, 1) |
$-\,7^{2}\cdot 103$ |
$2$ |
$17.1531717027$ |
$37.13789685454593$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$2.96603111175$ |
$1$ |
$103$ |
| 3.1.5356.1 |
$x^{3} + 4 x - 28$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 13\cdot 103$ |
$3$ |
$17.4963257592$ |
$58.08673318080877$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$13.0168672906$ |
$1$ |
$103$ |
| 3.3.5356.1 |
$x^{3} - x^{2} - 20 x + 28$ |
$3$ |
(3, 0) |
$2^{2}\cdot 13\cdot 103$ |
$3$ |
$17.4963257592$ |
$73.18469785412795$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$24.6257193627$ |
$3$ |
$103$ |
| 3.1.5768.1 |
$x^{3} - x^{2} + 2 x + 14$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 7\cdot 103$ |
$3$ |
$17.9339140448$ |
$75.9473501841901$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$18.9273950699$ |
$1$ |
$103$ |
| 3.1.5871.1 |
$x^{3} - x^{2} - 2 x + 45$ |
$3$ |
(1, 1) |
$-\,3\cdot 19\cdot 103$ |
$3$ |
$18.0400343492$ |
$76.62245101796209$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$13.1488066501$ |
$1$ |
$103$ |
| 3.1.6180.1 |
$x^{3} - x^{2} - 15 x - 33$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3\cdot 5\cdot 103$ |
$4$ |
$18.3511305597$ |
$78.61297602813418$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$34.885416494$ |
$1$ |
$103$ |
| 3.1.6283.1 |
$x^{3} - x^{2} + 7 x - 16$ |
$3$ |
(1, 1) |
$-\,61\cdot 103$ |
$2$ |
$18.4525200789$ |
$79.26537705707328$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$8.49514925975$ |
$1$ |
$103$ |
| 3.3.6901.1 |
$x^{3} - x^{2} - 25 x - 2$ |
$3$ |
(3, 0) |
$67\cdot 103$ |
$2$ |
$19.0387022749$ |
$83.07225770376053$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
$[2]$ |
$2$ |
$2$ |
$37.0238862725$ |
$2$ |
$103$ |
| 3.1.7107.1 |
$x^{3} - 6 x - 49$ |
$3$ |
(1, 1) |
$-\,3\cdot 23\cdot 103$ |
$3$ |
$19.2262877763$ |
$84.303024856763$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$24.4039605354$ |
$1$ |
$103$ |
| 3.1.8343.1 |
$x^{3} - 21 x - 41$ |
$3$ |
(1, 1) |
$-\,3^{4}\cdot 103$ |
$2$ |
$20.2818429052$ |
$43.91170349655221$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$10.2047028815$ |
$1$ |
$103$ |
| 3.1.8652.1 |
$x^{3} - 6 x - 54$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3\cdot 7\cdot 103$ |
$4$ |
$20.5292068318$ |
$73.8269494280051$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$23.6550122291$ |
$1$ |
$103$ |
| 3.1.9064.1 |
$x^{3} - x^{2} + 21 x - 1$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 11\cdot 103$ |
$3$ |
$20.8500275079$ |
$95.20504188329524$ |
|
|
|
$S_3$ (as 3T2) |
$[13]$ |
$[13]$ |
$2$ |
$1$ |
$3.0423560499$ |
$1$ |
$103$ |
| 3.1.9167.1 |
$x^{3} - x^{2} + 2 x - 19$ |
$3$ |
(1, 1) |
$-\,89\cdot 103$ |
$2$ |
$20.9287076026$ |
$95.74445153636842$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$7.24134216561$ |
$1$ |
$103$ |
| 3.1.9476.1 |
$x^{3} + 17 x - 26$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 23\cdot 103$ |
$3$ |
$21.1612678345$ |
$97.34474818910365$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$17.5559392949$ |
$1$ |
$103$ |
| 3.1.10403.1 |
$x^{3} - x^{2} - 4 x + 80$ |
$3$ |
(1, 1) |
$-\,101\cdot 103$ |
$2$ |
$21.8299562919$ |
$101.99509792141973$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$14.1307846952$ |
$1$ |
$103$ |
| 3.3.10712.1 |
$x^{3} - x^{2} - 27 x + 47$ |
$3$ |
(3, 0) |
$2^{3}\cdot 13\cdot 103$ |
$3$ |
$22.0439891199$ |
$103.49879226348489$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
$[2]$ |
$2$ |
$2$ |
$45.3558925642$ |
$2$ |
$103$ |
| 3.3.11124.1 |
$x^{3} - 24 x - 20$ |
$3$ |
(3, 0) |
$2^{2}\cdot 3^{3}\cdot 103$ |
$3$ |
$22.3230565822$ |
$58.042584187050004$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
$[2]$ |
$2$ |
$2$ |
$33.523566226$ |
$2$ |
$103$ |
| 3.1.11948.1 |
$x^{3} + 14 x - 6$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 29\cdot 103$ |
$3$ |
$22.8611674461$ |
$86.75694987764365$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$20.4071902941$ |
$1$ |
$103$ |
| 3.1.12463.1 |
$x^{3} - x^{2} - 18 x - 31$ |
$3$ |
(1, 1) |
$-\,11^{2}\cdot 103$ |
$2$ |
$23.1850230327$ |
$50.19730513299528$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$15.7262646248$ |
$1$ |
$103$ |
| 3.1.13699.1 |
$x^{3} - x^{2} - 5 x - 66$ |
$3$ |
(1, 1) |
$-\,7\cdot 19\cdot 103$ |
$3$ |
$23.9274429026$ |
$117.04272724095249$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$25.1336684261$ |
$1$ |
$103$ |
| 3.3.13905.1 |
$x^{3} - 27 x - 49$ |
$3$ |
(3, 0) |
$3^{3}\cdot 5\cdot 103$ |
$3$ |
$24.0467837441$ |
$81.76078985904452$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
$[2]$ |
$2$ |
$2$ |
$20.7512336736$ |
$2$ |
$103$ |
| 3.3.14420.1 |
$x^{3} - x^{2} - 15 x + 5$ |
$3$ |
(3, 0) |
$2^{2}\cdot 5\cdot 7\cdot 103$ |
$4$ |
$24.3400661088$ |
$95.31018187865364$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$39.7277376919$ |
$3$ |
$103$ |
| 3.1.14523.1 |
$x^{3} - x^{2} + 27 x - 54$ |
$3$ |
(1, 1) |
$-\,3\cdot 47\cdot 103$ |
$3$ |
$24.3978812099$ |
$120.51141024815865$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$33.9415485796$ |
$1$ |
$103$ |
| 3.1.14935.1 |
$x^{3} - x^{2} + 2 x + 117$ |
$3$ |
(1, 1) |
$-\,5\cdot 29\cdot 103$ |
$3$ |
$24.6264461002$ |
$122.20883765096532$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$16.1148623293$ |
$1$ |
$103$ |
| 3.3.15141.1 |
$x^{3} - x^{2} - 37 x + 64$ |
$3$ |
(3, 0) |
$3\cdot 7^{2}\cdot 103$ |
$3$ |
$24.7391545177$ |
$64.32472423832594$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$2$ |
$16.0318034619$ |
$3$ |
$103$ |
| 3.1.15244.1 |
$x^{3} - x^{2} + 15 x + 63$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 37\cdot 103$ |
$3$ |
$24.7951256463$ |
$97.99550113295366$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$24.7608848456$ |
$1$ |
$103$ |
| 3.1.16068.1 |
$x^{3} - x^{2} + 32 x - 80$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 3\cdot 13\cdot 103$ |
$4$ |
$25.2340683082$ |
$126.7596150199266$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$53.1266661402$ |
$1$ |
$103$ |
| 3.1.16171.1 |
$x^{3} - x^{2} + 29 x + 34$ |
$3$ |
(1, 1) |
$-\,103\cdot 157$ |
$2$ |
$25.2878724547$ |
$127.1652468247516$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$25.2718440378$ |
$1$ |
$157$ |
| 3.1.17407.1 |
$x^{3} - x^{2} + 22 x - 40$ |
$3$ |
(1, 1) |
$-\,13^{2}\cdot 103$ |
$2$ |
$25.9163981367$ |
$56.11093607183981$ |
|
|
|
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$25.7766513666$ |
$1$ |
$103$ |
| 3.1.17716.1 |
$x^{3} - x^{2} - 32 x + 86$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 43\cdot 103$ |
$3$ |
$26.068851044$ |
$133.10146505579868$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$34.931555391$ |
$1$ |
$103$ |
| 3.3.17716.1 |
$x^{3} - x^{2} - 17 x - 5$ |
$3$ |
(3, 0) |
$2^{2}\cdot 43\cdot 103$ |
$3$ |
$26.068851044$ |
$105.64270282404169$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$34.3467264236$ |
$3$ |
$103$ |
| 3.3.19261.1 |
$x^{3} - x^{2} - 21 x + 34$ |
$3$ |
(3, 0) |
$11\cdot 17\cdot 103$ |
$3$ |
$26.8056459479$ |
$138.78400484205665$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$26.3162533015$ |
$3$ |
$103$ |
| 3.1.19467.1 |
$x^{3} + 18 x - 131$ |
$3$ |
(1, 1) |
$-\,3^{3}\cdot 7\cdot 103$ |
$3$ |
$26.9008710672$ |
$96.74067118706988$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$31.8475383214$ |
$1$ |
$103$ |
| 3.1.20703.1 |
$x^{3} - x^{2} - 40 x - 89$ |
$3$ |
(1, 1) |
$-\,3\cdot 67\cdot 103$ |
$3$ |
$27.4585601751$ |
$143.88537104236832$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$20.1363291783$ |
$1$ |
$103$ |
| 3.1.21836.1 |
$x^{3} - x^{2} - 9 x + 61$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 53\cdot 103$ |
$3$ |
$27.9505931435$ |
$117.28519950425213$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$15.8931543596$ |
$1$ |
$103$ |
| 3.1.23896.1 |
$x^{3} - x^{2} - 2 x + 90$ |
$3$ |
(1, 1) |
$-\,2^{3}\cdot 29\cdot 103$ |
$3$ |
$28.8032660905$ |
$154.5833108715168$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$66.5052441386$ |
$1$ |
$103$ |
| 3.1.24308.1 |
$x^{3} + 2 x - 60$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 59\cdot 103$ |
$3$ |
$28.9678597553$ |
$155.91023058157538$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$94.9532256654$ |
$1$ |
$103$ |
| 3.1.24411.1 |
$x^{3} + 36 x - 35$ |
$3$ |
(1, 1) |
$-\,3\cdot 79\cdot 103$ |
$3$ |
$29.0087171575$ |
$156.2401996926527$ |
|
|
|
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$1$ |
$62.0713646397$ |
$1$ |
$103$ |
| 3.3.24617.1 |
$x^{3} - x^{2} - 18 x + 5$ |
$3$ |
(3, 0) |
$103\cdot 239$ |
$2$ |
$29.0900884593$ |
$156.8980560746372$ |
|
|
✓ |
$S_3$ (as 3T2) |
trivial |
trivial |
$2$ |
$2$ |
$25.6717614424$ |
$3$ |
$239$ |
| 3.1.25132.1 |
$x^{3} - x^{2} - 17 x + 47$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 61\cdot 103$ |
$3$ |
$29.2915497847$ |
$125.82594292505412$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$8.80792288075$ |
$1$ |
$103$ |
| 3.1.25132.2 |
$x^{3} + 16 x - 18$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 61\cdot 103$ |
$3$ |
$29.2915497847$ |
$125.82594292505412$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[12]$ |
$[12]$ |
$2$ |
$1$ |
$2.95278855479$ |
$1$ |
$103$ |
| 3.1.25132.3 |
$x^{3} - 20 x - 46$ |
$3$ |
(1, 1) |
$-\,2^{2}\cdot 61\cdot 103$ |
$3$ |
$29.2915497847$ |
$125.82594292505412$ |
|
|
✓ |
$S_3$ (as 3T2) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$10.3047769094$ |
$1$ |
$103$ |
