| 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 |
| 43.1.171...443.1 |
$x^{43} - x - 1$ |
$43$ |
[1,21] |
$-\,109\cdot 809\cdot 397519523\cdot 49\!\cdots\!61$ |
$4$ |
$42.9913070099$ |
$1.3112453023551685e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.174...571.1 |
$x^{43} + x - 1$ |
$43$ |
[1,21] |
$-\,59\cdot 397\cdot 877\cdot 935899\cdot 2402649604770175349\cdot 37\!\cdots\!51$ |
$6$ |
$43.0086198004$ |
$1.3226452398347625e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.736...104.1 |
$x^{43} - 4 x - 4$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 13\cdot 10239413\cdot 21464295562499\cdot 7440631653201968227\cdot 787580389820760746433715250923$ |
$6$ |
$84.5554977562$ |
$2.5465322118830868e+35$ |
|
|
? |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.749...416.1 |
$x^{43} - 2 x - 2$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 5577217\cdot 417006008813\cdot 34910848872522797\cdot 201068225194855523\cdot 1043987668577822729$ |
$6$ |
$84.5904566931$ |
$2.569264622895059e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.762...664.1 |
$x^{43} - x - 2$ |
$43$ |
[1,21] |
$-\,2^{43}\cdot 20380951\cdot 61480213\cdot 69\!\cdots\!91$ |
$4$ |
$84.6248191691$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.762...487.1 |
$x^{43} - x - 4$ |
$43$ |
[1,21] |
$-\,229\cdot 293\cdot 4986887\cdot 566527637659\cdot 4239521573605607851\cdot 94\!\cdots\!37$ |
$6$ |
$84.6248191691$ |
$2.7618602778968733e+41$ |
|
|
? |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.775...040.1 |
$x^{43} + 2 x - 2$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 5\cdot 19\cdot 4987\cdot 11154877\cdot 914818621983827673311\cdot 36\!\cdots\!97$ |
$7$ |
$84.6586054265$ |
$2.6141364721574758e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.789...352.1 |
$x^{43} + 4 x - 4$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 90073\cdot 2923961\cdot 68\!\cdots\!71$ |
$4$ |
$84.691834691$ |
$2.636286003332312e+35$ |
|
|
? |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.3.492...621.1 |
$x^{43} - 3 x - 1$ |
$43$ |
[3,20] |
$193\cdot 25\!\cdots\!97$ |
$2$ |
$115.510260058$ |
$2.2199442846773814e+44$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$22$ |
|
| 43.1.492...856.1 |
$x^{43} + 3 x - 2$ |
$43$ |
[1,21] |
$-\,2^{43}\cdot 83\cdot 67\!\cdots\!29$ |
$3$ |
$115.510264216$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.189...651.1 |
$x^{43} - 2 x - 3$ |
$43$ |
[1,21] |
$-\,3^{42}\cdot 139\cdot 12\!\cdots\!01$ |
$3$ |
$125.745909717$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.189...899.1 |
$x^{43} - x - 3$ |
$43$ |
[1,21] |
$-\,3^{43}\cdot 3929\cdot 27164077\cdot 1696291894163\cdot 4471934430678427\cdot 71\!\cdots\!89$ |
$6$ |
$125.74590972$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.194...091.1 |
$x^{43} + 3 x - 3$ |
$43$ |
[1,21] |
$-\,3^{42}\cdot 11\cdot 4458821\cdot 2188196233\cdot 250952988948637\cdot 66\!\cdots\!49$ |
$6$ |
$125.820903255$ |
$3.900894748874076e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.335...704.1 |
$x^{43} - 2 x - 4$ |
$43$ |
[1,21] |
$-\,2^{82}\cdot 17\cdot 911\cdot 1321\cdot 196825567\cdot 17\!\cdots\!89$ |
$6$ |
$149.628879545$ |
|
|
|
? |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.116...403.1 |
$x^{43} + 4 x - 1$ |
$43$ |
[1,21] |
$-\,181\cdot 155556871099633\cdot 21154104412279303\cdot 19\!\cdots\!37$ |
$4$ |
$154.013680078$ |
$1.0777670745654398e+47$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.116...624.1 |
$x^{43} + 4 x - 2$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 13\cdot 53\cdot 359\cdot 379\cdot 397\cdot 15583\cdot 15667\cdot 16763\cdot 1652591\cdot 7443949\cdot 81974567114861\cdot 17\!\cdots\!91$ |
$13$ |
$154.013680078$ |
$1.0114031480275054e+41$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.116...859.1 |
$x^{43} + 4 x - 3$ |
$43$ |
[1,21] |
$-\,3^{42}\cdot 17\cdot 251\cdot 24\!\cdots\!53$ |
$4$ |
$154.014265194$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.335...584.1 |
$x^{43} - 3 x - 4$ |
$43$ |
[1,21] |
$-\,2^{42}\cdot 5736251\cdot 13\!\cdots\!71$ |
$3$ |
$166.543255696$ |
|
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.426...432.1 |
$x^{43} + 5 x - 2$ |
$43$ |
[1,21] |
$-\,2^{43}\cdot 48\!\cdots\!29$ |
$2$ |
$186.409446144$ |
|
|
|
? |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.3.170...493.1 |
$x^{43} - 5 x - 1$ |
$43$ |
[3,20] |
$67\cdot 25\!\cdots\!79$ |
$2$ |
$192.517100097$ |
$1.306442173756887e+49$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$22$ |
|
| 43.1.377...875.1 |
$x^{43} - 5 x - 5$ |
$43$ |
[1,21] |
$-\,5^{42}\cdot 1201\cdot 3109\cdot 627374521\cdot 70\!\cdots\!83$ |
$5$ |
$206.888556661$ |
$6.2041015477474564e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.394...811.1 |
$x^{43} - x - 5$ |
$43$ |
[1,21] |
$-\,4378013\cdot 253946916604529\cdot 37511360891773121\cdot 94\!\cdots\!83$ |
$4$ |
$207.101547263$ |
$6.279743224460784e+49$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.394...003.1 |
$x^{43} + 3 x - 5$ |
$43$ |
[1,21] |
$-\,4787\cdot 56783432887\cdot 65016935311\cdot 22\!\cdots\!17$ |
$4$ |
$207.101547263$ |
$6.279743224500022e+49$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
| 43.1.411...875.1 |
$x^{43} + 5 x - 5$ |
$43$ |
[1,21] |
$-\,5^{42}\cdot 68281\cdot 26\!\cdots\!67$ |
$3$ |
$207.305717468$ |
$6.4786917631280636e+35$ |
|
|
✓ |
$S_{43}$ (as 43T10) |
not computed |
$2$ |
$21$ |
|
