| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 26.0.252...496.1 |
$x^{26} - 2 x^{13} + 2$ |
$26$ |
[0,13] |
$-\,2^{38}\cdot 13^{26}$ |
$2$ |
$35.8022457311$ |
$42.900026129970236$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$4$ |
$12$ |
$19943633307.82794$ |
| 26.0.777...987.1 |
$x^{26} - 3 x^{13} + 3$ |
$26$ |
[0,13] |
$-\,3^{25}\cdot 13^{26}$ |
$2$ |
$37.3864121659$ |
$44.798252904893275$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$6$ |
$12$ |
$43085229111.75138$ |
| 26.0.206...232.1 |
$x^{26} + 2$ |
$26$ |
[0,13] |
$-\,2^{51}\cdot 13^{26}$ |
$2$ |
$50.6320214763$ |
$60.66979877916407$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$2$ |
$12$ |
$1735637148211.4587$ |
| 26.2.206...232.1 |
$x^{26} - 2$ |
$26$ |
[2,12] |
$2^{51}\cdot 13^{26}$ |
$2$ |
$50.6320214763$ |
$60.66979877916407$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$2$ |
$13$ |
$1119664136073.1033$ |
| 26.2.273...125.1 |
$x^{26} - 5$ |
$26$ |
[2,12] |
$5^{25}\cdot 13^{26}$ |
$2$ |
$61.0984080937$ |
$73.21114221183463$ |
|
|
? |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$2$ |
$13$ |
$9612138497230.408$ |
| 26.2.521...768.1 |
$x^{26} - 3$ |
$26$ |
[2,12] |
$2^{26}\cdot 3^{25}\cdot 13^{26}$ |
$3$ |
$74.7728243318$ |
$89.59650580978655$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
trivial |
$2$ |
$13$ |
$228316605135874.6$ |
| 26.0.183...000.1 |
$x^{26} + 5$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 5^{25}\cdot 13^{26}$ |
$3$ |
$122.196816187$ |
$146.42228442366925$ |
|
|
✓ |
$C_2\times F_{13}$ (as 26T10) |
$[2]$ |
$2$ |
$12$ |
$110245773558423540$ |
