| 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 |
| 44.2.206...803.1 |
$x^{44} - x - 1$ |
$44$ |
[2,21] |
$-\,1752761753\cdot 4199398081\cdot 12798563620399\cdot 21\!\cdots\!29$ |
$4$ |
$44.0084224293$ |
$1.438095127913185e+36$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.2.305...208.1 |
$x^{44} - 2 x - 1$ |
$44$ |
[2,21] |
$-\,2^{44}\cdot 6849881\cdot 418859713\cdot 847100666339\cdot 26342648577937357\cdot 270892830308402529909668477$ |
$6$ |
$78.9540056094$ |
|
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.2.932...696.1 |
$x^{44} - 4 x - 4$ |
$44$ |
[2,21] |
$-\,2^{44}\cdot 24247\cdot 97990843\cdot 22\!\cdots\!11$ |
$4$ |
$85.3351326318$ |
|
|
|
? |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.0.180...061.1 |
$x^{44} - x + 2$ |
$44$ |
[0,22] |
$7\cdot 29\cdot 17117\cdot 330203\cdot 700658261310857\cdot 22\!\cdots\!41$ |
$6$ |
$86.6245679117$ |
$4.247210533932629e+42$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.2.183...480.1 |
$x^{44} - 2 x - 2$ |
$44$ |
[2,21] |
$-\,2^{44}\cdot 3\cdot 5\cdot 677\cdot 1613\cdot 13103\cdot 37912031\cdot 8935109131219\cdot 14\!\cdots\!31$ |
$9$ |
$86.6575957175$ |
|
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.2.130...371.1 |
$x^{44} - 3 x - 3$ |
$44$ |
[2,21] |
$-\,3^{43}\cdot 7\cdot 13\cdot 12821\cdot 641949571771\cdot 262850252869783\cdot 20\!\cdots\!51$ |
$7$ |
$111.70711817$ |
$1.8447999116801285e+35$ |
|
|
? |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.2.170...371.1 |
$x^{44} - 3 x + 1$ |
$44$ |
[2,21] |
$-\,1523\cdot 126949\cdot 353389\cdot 24\!\cdots\!57$ |
$4$ |
$118.431008414$ |
$4.132752514477305e+45$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.0.262...837.1 |
$x^{44} - 3 x + 3$ |
$44$ |
[0,22] |
$3^{43}\cdot 1040747\cdot 22777806091\cdot 248824106701\cdot 4562764134557\cdot 80457241685453\cdot 36921060567988043$ |
$7$ |
$119.592858167$ |
$8.273437861652494e+35$ |
|
|
? |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.0.673...085.1 |
$x^{44} - x + 3$ |
$44$ |
[0,22] |
$5\cdot 5507\cdot 7727\cdot 31\!\cdots\!53$ |
$4$ |
$128.744968798$ |
$2.5945727897557727e+46$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.2.536...824.1 |
$x^{44} - 4 x + 2$ |
$44$ |
[2,21] |
$-\,2^{88}\cdot 631\cdot 27\!\cdots\!09$ |
$3$ |
$157.908011219$ |
|
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.2.536...960.1 |
$x^{44} - 4 x - 2$ |
$44$ |
[2,21] |
$-\,2^{88}\cdot 3\cdot 5\cdot 17\cdot 19\cdot 810011129628382723\cdot 44\!\cdots\!61$ |
$7$ |
$157.908011219$ |
|
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.0.396...808.1 |
$x^{44} - 2 x + 4$ |
$44$ |
[0,22] |
$2^{42}\cdot 3\cdot 30\!\cdots\!59$ |
$3$ |
$165.251840276$ |
$5.910416548400536e+42$ |
|
|
? |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.2.987...019.1 |
$x^{44} - 5 x - 4$ |
$44$ |
[2,21] |
$-\,431\cdot 2553823\cdot 29260740166582139\cdot 30\!\cdots\!17$ |
$4$ |
$197.392228317$ |
$3.1423973070274597e+50$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
| 44.0.223...125.1 |
$x^{44} - 5 x + 5$ |
$44$ |
[0,22] |
$5^{43}\cdot 41\cdot 181\cdot 63689\cdot 2177689\cdot 55805852117387\cdot 4644262021638746707\cdot 7362655138920702707245669$ |
$8$ |
$211.890039247$ |
$6.755556651406791e+36$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.0.233...333.1 |
$x^{44} - 3 x + 5$ |
$44$ |
[0,22] |
$211\cdot 18191\cdot 60\!\cdots\!33$ |
$3$ |
$212.098207849$ |
$1.5269118863941204e+51$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.0.233...493.1 |
$x^{44} - x + 5$ |
$44$ |
[0,22] |
$23\!\cdots\!93$ |
$1$ |
$212.098207849$ |
$1.526911886399713e+51$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$21$ |
|
| 44.2.233...507.1 |
$x^{44} - x - 5$ |
$44$ |
[2,21] |
$-\,3\cdot 7\cdot 16811\cdot 509783\cdot 2745031\cdot 47\!\cdots\!89$ |
$6$ |
$212.098207849$ |
$1.526911886399713e+51$ |
|
|
✓ |
$S_{44}$ (as 44T2113) |
not computed |
$2$ |
$22$ |
|
