| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 14.0.9095120158391.1 |
$ x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 103 x^{10} - 141 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,71^{7}$ |
$1$ |
$8.42614977318$ |
|
✓ |
not computed |
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$6$ |
$2.56161916129$ |
| 14.0.9669040949311.1 |
$ x^{14} - x^{13} + 3 x^{12} - 6 x^{11} + 5 x^{10} - 9 x^{9} + 11 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,19^{2}\cdot 79\cdot 18413^{2}$ |
$3$ |
$8.46305933364$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$2.65828702774$ |
| 14.0.9745585291264.1 |
$ x^{14} - 4 x^{13} + 7 x^{12} - 4 x^{11} - 8 x^{10} + 24 x^{9} - 30 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 29^{6}$ |
$2$ |
$8.467827352511435$ |
|
|
✓ |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$4$ |
$6$ |
$5.342840135225723$ |
| 14.0.9866941650479.1 |
$ x^{14} - 3 x^{13} + 6 x^{12} - 11 x^{11} + 16 x^{10} - 21 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,167^{2}\cdot 191\cdot 1361^{2}$ |
$3$ |
$8.47531594932$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$2.68866215877$ |
| 14.0.11856232199187.1 |
$ x^{14} - x^{13} + x^{12} - x^{10} - x^{9} + x^{8} - x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5421231001$ |
$2$ |
$8.58723475068$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$6$ |
$6$ |
$9.0466002324$ |
| 14.0.12985240103739.1 |
$ x^{14} - x^{13} + x^{12} - 4 x^{11} + 4 x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5937466897$ |
$2$ |
$8.64320868463$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$6$ |
$6$ |
$9.5585171283$ |
| 14.0.13048447346663.1 |
$ x^{14} - x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,23\cdot 37^{2}\cdot 20357^{2}$ |
$3$ |
$8.64620704819$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$3.18798462168$ |
| 14.0.13824820988163.1 |
$ x^{14} - 3 x^{13} + 8 x^{12} - 18 x^{11} + 32 x^{10} - 52 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 43^{6}$ |
$2$ |
$8.681975119007818$ |
|
|
not computed |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$6$ |
$6$ |
$9.923787361493524$ |
| 14.0.16973485041483.1 |
$ x^{14} - 2 x^{13} + 2 x^{12} - 6 x^{11} + 8 x^{10} - 4 x^{9} + 9 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 37^{2}\cdot 2381^{2}$ |
$3$ |
$8.81015693246$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$11.1445691239$ |
| 14.0.22139206005899.1 |
$ x^{14} - 3 x^{13} + 4 x^{12} - 2 x^{11} + x^{10} - 4 x^{9} + 9 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,59\cdot 593^{2}\cdot 1033^{2}$ |
$3$ |
$8.97895634588$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$4.38657959616$ |
| 14.0.28466647927227.1 |
$ x^{14} - x^{13} + 2 x^{12} + 3 x^{11} - x^{10} + 4 x^{9} + 3 x^{8} + 2 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 114089^{2}$ |
$2$ |
$9.14163808258$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$15.4833298742$ |
| 14.0.30270895108587.1 |
$ x^{14} - 4 x^{13} + 6 x^{12} - 3 x^{11} - 6 x^{10} + 14 x^{9} - 12 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 7^{12}$ |
$2$ |
$9.181853855048184$ |
|
|
not computed |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$6$ |
$6$ |
$16.520791850817314$ |
| 14.0.51902598731283.1 |
$ x^{14} - 2 x^{13} + 3 x^{12} - 6 x^{11} + 6 x^{10} - 4 x^{9} + 3 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{11}\cdot 17117^{2}$ |
$2$ |
$9.54237247067$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$27.6082700412$ |
| 14.2.52058057626129.1 |
$ x^{14} - 2 x^{13} + 3 x^{12} - 4 x^{11} + 4 x^{10} - 4 x^{9} + 4 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$7215127^{2}$ |
$1$ |
$9.54441116258$ |
|
|
not computed |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$9.48144292717$ |
| 14.2.54815765790289.1 |
$ x^{14} + x^{12} - 2 x^{8} - x^{7} - 2 x^{6} + x^{2} + 1 $ |
$14$ |
[2,6] |
$7^{2}\cdot 1057681^{2}$ |
$2$ |
$9.57966653808$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$9.77968117968$ |
| 14.2.55059380046329.1 |
$ x^{14} - 4 x^{13} + 6 x^{12} - x^{11} - 10 x^{10} + 18 x^{9} - 18 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$277^{2}\cdot 569\cdot 1123^{2}$ |
$3$ |
$9.58270130317$ |
|
|
not computed |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$9.77909350979$ |
| 14.0.56316949686099.1 |
$ x^{14} - 2 x^{13} + 6 x^{12} - 11 x^{11} + 19 x^{10} - 26 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 2953^{3}$ |
$2$ |
$9.59817157113$ |
|
|
✓ |
$D_7 \wr C_2$ (as 14T20) |
trivial |
$6$ |
$6$ |
$24.3506832156$ |
| 14.2.62662828387597.1 |
$ x^{14} - x^{13} - 3 x^{12} + 5 x^{11} + 2 x^{10} - 11 x^{9} + 4 x^{8} + \cdots - 1 $ |
$14$ |
[2,6] |
$167^{2}\cdot 1213\cdot 1361^{2}$ |
$3$ |
$9.67165316326$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$10.6313575761$ |
| 14.2.63097400703125.1 |
$ x^{14} - 3 x^{13} + 2 x^{12} + 4 x^{11} - 8 x^{10} + 2 x^{9} + 8 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$5^{7}\cdot 807646729$ |
$2$ |
$9.6764287896$ |
|
|
not computed |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$7$ |
$10.6889300961$ |
| 14.2.68537510017457.1 |
$ x^{14} - 4 x^{13} + 10 x^{12} - 15 x^{11} + 11 x^{10} + 6 x^{9} + \cdots + 1 $ |
$14$ |
[2,6] |
$13^{4}\cdot 17\cdot 109^{4}$ |
$3$ |
$9.73375911642$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$11.2548274629$ |
| 14.0.74532401109963.1 |
$ x^{14} - x^{13} + 2 x^{12} - x^{11} + 2 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 184607^{2}$ |
$2$ |
$9.79223424158$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$26.6828967522$ |
| 14.0.76600746490099.1 |
$ x^{14} - 2 x^{13} + 6 x^{12} - 8 x^{11} + 16 x^{10} - 17 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,13^{4}\cdot 19\cdot 109^{4}$ |
$3$ |
$9.811398801$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$9.51678072789$ |
| 14.2.78352380449344.1 |
$ x^{14} - 2 x^{12} + x^{10} + 2 x^{8} - 3 x^{6} + x^{4} - 1 $ |
$14$ |
[2,6] |
$2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2}$ |
$4$ |
$9.82725668122$ |
|
|
not computed |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$12.5841466704$ |
| 14.2.94241555580481.1 |
$ x^{14} - x^{12} - 2 x^{9} + 3 x^{7} - 2 x^{5} - x^{2} + 1 $ |
$14$ |
[2,6] |
$43^{2}\cdot 401^{2}\cdot 563^{2}$ |
$3$ |
$9.95772606431$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$13.4715273772$ |
| 14.2.94724481953125.1 |
$ x^{14} - x^{13} - 2 x^{12} + 5 x^{11} + 2 x^{10} - 9 x^{9} + 2 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$5^{7}\cdot 199\cdot 6092831$ |
$3$ |
$9.96136219536$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$7$ |
$13.5893961295$ |
| 14.2.103886084489093.1 |
$ x^{14} - 3 x^{12} - 3 x^{11} + 6 x^{10} + 7 x^{9} - 5 x^{8} - 12 x^{7} + \cdots - 1 $ |
$14$ |
[2,6] |
$53\cdot 977^{2}\cdot 1433^{2}$ |
$3$ |
$10.0272690923$ |
|
|
not computed |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$14.647522546$ |
| 14.2.116768679686993.1 |
$ x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 21 x^{10} - 29 x^{9} + \cdots + 1 $ |
$14$ |
[2,6] |
$257\cdot 674057^{2}$ |
$2$ |
$10.1113472722$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$15.418973911$ |
| 14.0.118236562059083.1 |
$ x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 5 x^{10} - x^{9} + x^{8} + 2 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,13\cdot 71^{7}$ |
$2$ |
$10.1203738706$ |
|
|
not computed |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$6$ |
$12.9746502268$ |
| 14.2.154291569457229.1 |
$ x^{14} - x^{13} + x^{12} - 2 x^{11} + 2 x^{10} - 3 x^{9} + 3 x^{8} - 3 x^{7} + \cdots + 1 $ |
$14$ |
[2,6] |
$29\cdot 107^{2}\cdot 21557^{2}$ |
$3$ |
$10.3146148047$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$17.8336574914$ |
| 14.2.160805685121205.1 |
$ x^{14} + x^{12} - x^{9} - x^{8} - x^{7} - x^{6} - x^{5} + x^{2} + 1 $ |
$14$ |
[2,6] |
$5\cdot 41^{2}\cdot 138319^{2}$ |
$3$ |
$10.3451267052$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$20.4518453354$ |
| 14.0.172575877556547.1 |
$ x^{14} - x^{13} - x^{12} + 2 x^{10} + x^{9} - x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 280909^{2}$ |
$2$ |
$10.3974573916$ |
|
|
✓ |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$55.4764206676$ |
| 14.2.212764932023296.1 |
$ x^{14} - x^{10} + x^{8} + x^{2} - 1 $ |
$14$ |
[2,6] |
$2^{10}\cdot 455827^{2}$ |
$2$ |
$10.5541055231$ |
|
|
not computed |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$21.4724068698$ |
| 14.2.245928712415581.1 |
$ x^{14} - x^{13} + 4 x^{12} - x^{11} + 3 x^{10} + 3 x^{9} - 4 x^{8} + 9 x^{7} + \cdots - 1 $ |
$14$ |
[2,6] |
$13^{4}\cdot 61\cdot 109^{4}$ |
$3$ |
$10.6638725375$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$26.4300628611$ |
| 14.4.250058750499647.1 |
$ x^{14} - 2 x^{13} + x^{12} - x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} + \cdots + 1 $ |
$14$ |
[4,5] |
$-\,47\cdot 107^{2}\cdot 21557^{2}$ |
$3$ |
$10.676565665$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$31.5102502485$ |
| 14.0.263657868936003.1 |
$ x^{14} + x^{12} - 2 x^{11} - x^{10} + 3 x^{7} - x^{4} - 2 x^{3} + x^{2} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 103^{2}\cdot 3371^{2}$ |
$3$ |
$10.717027334$ |
|
|
✓ |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$73.5044803741$ |
| 14.4.270118421833507.1 |
$ x^{14} - x^{13} - 3 x^{12} - x^{11} + x^{10} + 2 x^{8} + 7 x^{7} + 3 x^{6} + \cdots + 1 $ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 67\cdot 109^{4}$ |
$3$ |
$10.7355747516$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$33.079338429$ |
| 14.0.280155320935227.1 |
$ x^{14} - x^{13} + 2 x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 3 x^{8} - 4 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 71^{6}$ |
$2$ |
$10.763587918$ |
|
|
not computed |
$D_{14}$ (as 14T3) |
trivial |
$6$ |
$6$ |
$64.9438034848$ |
| 14.4.297261105546875.1 |
$ x^{14} - 3 x^{12} - x^{11} + 5 x^{10} + 3 x^{9} - 6 x^{8} - 6 x^{7} + \cdots + 1 $ |
$14$ |
[4,5] |
$-\,5^{7}\cdot 89\cdot 971\cdot 44029$ |
$4$ |
$10.8092504055$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$8$ |
$34.9413880804$ |
| 14.0.318497840669359.1 |
$ x^{14} - 4 x^{13} + 8 x^{12} - 10 x^{11} + 15 x^{10} - 28 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,13^{4}\cdot 79\cdot 109^{4}$ |
$3$ |
$10.8626597908$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$22.560872956$ |
| 14.2.321952970703125.1 |
$ x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 7 x^{10} + 11 x^{9} - 25 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$5^{9}\cdot 37^{2}\cdot 347^{2}$ |
$3$ |
$10.8710348587$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$7$ |
$30.836203822$ |
| 14.4.334624313614643.1 |
$ x^{14} - x^{13} - 4 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 2 x^{8} + \cdots - 1 $ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 83\cdot 109^{4}$ |
$3$ |
$10.9010515249$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$37.8345982696$ |
| 14.2.386441371953125.1 |
$ x^{14} - x^{13} - 2 x^{12} + 4 x^{11} - 2 x^{10} - 3 x^{9} + x^{8} + 6 x^{6} + \cdots + 5 $ |
$14$ |
[2,6] |
$5^{7}\cdot 53^{2}\cdot 1327^{2}$ |
$3$ |
$11.0137330011$ |
|
|
not computed |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$7$ |
$38.0258403894$ |
| 14.2.391066968923137.1 |
$ x^{14} - 4 x^{13} + 5 x^{12} + 4 x^{11} - 14 x^{10} + 5 x^{9} + 13 x^{8} + \cdots - 1 $ |
$14$ |
[2,6] |
$13^{4}\cdot 97\cdot 109^{4}$ |
$3$ |
$11.0230975946$ |
|
|
not computed |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$35.8148412318$ |
| 14.0.407483719072587.1 |
$ x^{14} - x^{13} + 4 x^{12} - x^{11} + 4 x^{10} + 2 x^{9} - 6 x^{8} + 3 x^{7} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,3^{15}\cdot 73^{4}$ |
$2$ |
$11.0555233042$ |
|
|
not computed |
$A_7\times C_2$ (as 14T47) |
trivial |
$6$ |
$6$ |
$96.5294199023$ |
| 14.4.411650990546875.1 |
$ x^{14} - 3 x^{12} - 2 x^{11} + 5 x^{10} + 4 x^{9} - 6 x^{8} - 7 x^{7} + \cdots - 1 $ |
$14$ |
[4,5] |
$-\,5^{7}\cdot 24851\cdot 212029$ |
$3$ |
$11.0635611432$ |
|
|
not computed |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$8$ |
$42.0905477867$ |
| 14.2.422859037223221.1 |
$ x^{14} - 2 x^{13} - 4 x^{12} + 6 x^{11} + 10 x^{10} - 3 x^{9} - 19 x^{8} + \cdots + 1 $ |
$14$ |
[2,6] |
$71^{6}\cdot 3301$ |
$2$ |
$11.0848101244$ |
|
|
not computed |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$7$ |
$32.6924434913$ |
| 14.0.445660887761159.1 |
$ x^{14} - x^{13} + 6 x^{12} - 4 x^{11} + 12 x^{10} - 2 x^{9} + 11 x^{8} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,7^{2}\cdot 71^{7}$ |
$2$ |
$11.1264716525$ |
|
|
not computed |
$C_2^6:D_7$ (as 14T27) |
trivial |
$2$ |
$6$ |
$25.684570553$ |
| 14.0.489862582246303.1 |
$ x^{14} - 5 x^{13} + 18 x^{12} - 44 x^{11} + 89 x^{10} - 140 x^{9} + \cdots + 1 $ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 29^{6}$ |
$2$ |
$11.201882659887865$ |
|
|
not computed |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$2$ |
$6$ |
$30.78649932175806$ |
| 14.2.493856488203125.1 |
$ x^{14} - 2 x^{13} + 6 x^{11} - 3 x^{10} - 8 x^{9} + 13 x^{8} + 4 x^{7} + \cdots - 1 $ |
$14$ |
[2,6] |
$5^{7}\cdot 43^{6}$ |
$2$ |
$11.2083816827$ |
|
|
not computed |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$7$ |
$39.9535247267$ |
| 14.4.498897726810659.1 |
$ x^{14} - 2 x^{13} + 3 x^{11} - 7 x^{10} + x^{9} + 14 x^{8} - 2 x^{7} + \cdots + 1 $ |
$14$ |
[4,5] |
$-\,11^{3}\cdot 71^{2}\cdot 8623^{2}$ |
$3$ |
$11.2165156356$ |
|
|
not computed |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$47.3515916708$ |
