| 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 |
| 46.0.128...584.1 |
$x^{46} - 2 x^{23} + 2$ |
$46$ |
[0,23] |
$-\,2^{68}\cdot 23^{46}$ |
$2$ |
$64.0809142385$ |
$72.98659370383042$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$4$ |
$22$ |
|
| 46.0.128...427.1 |
$x^{46} - 3 x^{23} + 3$ |
$46$ |
[0,23] |
$-\,3^{45}\cdot 23^{46}$ |
$2$ |
$67.3716043537$ |
$76.73460924485343$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$6$ |
$22$ |
|
| 46.0.107...072.1 |
$x^{46} + 2$ |
$46$ |
[0,23] |
$-\,2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
$103.21863068737174$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$22$ |
|
| 46.2.107...072.1 |
$x^{46} - 2$ |
$46$ |
[2,22] |
$2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
$103.21863068737174$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.2.123...125.1 |
$x^{46} - 5$ |
$46$ |
[2,22] |
$5^{45}\cdot 23^{46}$ |
$2$ |
$111.045979765$ |
$126.47865443031209$ |
|
|
? |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.2.906...528.1 |
$x^{46} - 3$ |
$46$ |
[2,22] |
$2^{46}\cdot 3^{45}\cdot 23^{46}$ |
$3$ |
$134.743208707$ |
$153.46921848970686$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.0.871...000.1 |
$x^{46} + 5$ |
$46$ |
[0,23] |
$-\,2^{46}\cdot 5^{45}\cdot 23^{46}$ |
$3$ |
$222.09195953$ |
$252.95730886062418$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$22$ |
|
