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 |
44.0.178...352.1 |
$x^{44} - 3 x^{22} + 3$ |
$44$ |
[0,22] |
$2^{44}\cdot 3^{43}\cdot 11^{36}$ |
$3$ |
$41.6251820652$ |
$71.62687437095352$ |
|
|
? |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$6$ |
$21$ |
|
44.0.748...008.1 |
$x^{44} - 6144 x^{22} + 12582912$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{43}\cdot 11^{36}$ |
$3$ |
$58.866897012851524$ |
$101.29569716579633$ |
|
|
? |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$6$ |
$21$ |
|
44.2.314...432.1 |
$x^{44} - 3$ |
$44$ |
[2,21] |
$-\,2^{88}\cdot 3^{43}\cdot 11^{36}$ |
$3$ |
$83.2503641304$ |
$101.29569716579633$ |
|
|
? |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$22$ |
|
44.2.180...568.1 |
$x^{44} - 2$ |
$44$ |
[2,21] |
$-\,2^{131}\cdot 11^{44}$ |
$2$ |
$86.6245679117$ |
$115.84985172069412$ |
|
|
✓ |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$22$ |
|
44.0.180...568.1 |
$x^{44} + 2$ |
$44$ |
[0,22] |
$2^{131}\cdot 11^{44}$ |
$2$ |
$86.6245679117$ |
$115.84985172069412$ |
|
|
✓ |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$21$ |
|
44.2.132...000.1 |
$x^{44} - 5$ |
$44$ |
[2,21] |
$-\,2^{44}\cdot 5^{43}\cdot 11^{44}$ |
$3$ |
$106.049103925$ |
$182.48486774329007$ |
|
|
? |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$22$ |
|
44.2.555...000.1 |
$x^{44} - 20971520$ |
$44$ |
[2,21] |
$-\,2^{66}\cdot 5^{43}\cdot 11^{44}$ |
$3$ |
$149.97608104765166$ |
$258.0725748904214$ |
|
|
? |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$22$ |
|
44.0.233...000.1 |
$x^{44} + 5$ |
$44$ |
[0,22] |
$2^{88}\cdot 5^{43}\cdot 11^{44}$ |
$3$ |
$212.098207849$ |
$258.0725748904214$ |
|
|
✓ |
$D_4\times F_{11}$ (as 44T32) |
not computed |
$2$ |
$21$ |
|