| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 11.11.177...321.1 |
$x^{11} - x^{10} - 21 x^{9} + 14 x^{8} + 151 x^{7} - 53 x^{6} - 449 x^{5} - 13 x^{4} + 516 x^{3} + 197 x^{2} - 67 x - 19$ |
$11$ |
(11, 0) |
$191^{8}$ |
$1$ |
$45.5966942966275$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$907140.338432047$ |
$11$ |
$191$ |
| 11.11.123...625.1 |
$x^{11} - x^{10} - 20 x^{9} + 30 x^{8} + 105 x^{7} - 207 x^{6} - 63 x^{5} + 240 x^{4} - 15 x^{3} - 80 x^{2} + 11 x + 4$ |
$11$ |
(11, 0) |
$3^{10}\cdot 5^{10}\cdot 11^{8}$ |
$3$ |
$67.0734074997$ |
$79.85240853282978$ |
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$12183336.2677$ |
$11$ |
$11$ |
| 11.11.271...889.1 |
$x^{11} - 33 x^{9} + 396 x^{7} - 2079 x^{5} + 4455 x^{3} - 2673 x - 837$ |
$11$ |
(11, 0) |
$3^{10}\cdot 11^{16}$ |
$2$ |
$88.8177141494$ |
$105.73949735950434$ |
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
$[2, 2]$ |
$2$ |
$10$ |
$48372191.2791$ |
$9$ |
$11$ |
| 11.11.251...241.1 |
$x^{11} - 3 x^{10} - 49 x^{9} + 245 x^{8} + 164 x^{7} - 2975 x^{6} + 5783 x^{5} - 1592 x^{4} - 5667 x^{3} + 5301 x^{2} - 1319 x + 64$ |
$11$ |
(11, 0) |
$631^{8}$ |
$1$ |
$108.73891331158931$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$165702859.05851$ |
$11$ |
$631$ |
| 11.11.285...921.1 |
$x^{11} - 4 x^{10} - 52 x^{9} + 200 x^{8} + 977 x^{7} - 3574 x^{6} - 8260 x^{5} + 27863 x^{4} + 32219 x^{3} - 92821 x^{2} - 47911 x + 97441$ |
$11$ |
(11, 0) |
$641^{8}$ |
$1$ |
$109.98951681605203$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$60262018.5000102$ |
$11$ |
$641$ |
| 11.11.448...625.1 |
$x^{11} - 55 x^{9} + 1100 x^{7} - 9625 x^{5} + 34375 x^{3} - 34375 x - 12675$ |
$11$ |
(11, 0) |
$5^{10}\cdot 11^{16}$ |
$2$ |
$141.312400294$ |
$168.23560841235079$ |
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$677575079.592$ |
$11$ |
$11$ |
| 11.11.143...681.1 |
$x^{11} - 5 x^{10} - 165 x^{9} + 1534 x^{8} - 269 x^{7} - 34679 x^{6} + 76430 x^{5} + 208536 x^{4} - 657992 x^{3} - 299504 x^{2} + 1268768 x + 356992$ |
$11$ |
(11, 0) |
$1861^{8}$ |
$1$ |
$238.77967803899733$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
trivial |
$2$ |
$10$ |
$7352154585.48005$ |
$11$ |
$1861$ |
| 11.11.933...801.1 |
$x^{11} - 2 x^{10} - 171 x^{9} + 712 x^{8} + 8054 x^{7} - 51764 x^{6} - 26840 x^{5} + 682397 x^{4} - 753338 x^{3} - 2482765 x^{2} + 4197766 x + 83031$ |
$11$ |
(11, 0) |
$2351^{8}$ |
$1$ |
$283.02193371641823$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
$[2, 2]$ |
$2$ |
$10$ |
$11828783188.0315$ |
$9$ |
$2351$ |
| 11.11.657...001.1 |
$x^{11} - 2 x^{10} - 248 x^{9} - 873 x^{8} + 15324 x^{7} + 117915 x^{6} + 90245 x^{5} - 1600840 x^{4} - 5687237 x^{3} - 5613883 x^{2} + 2691611 x + 5322020$ |
$11$ |
(11, 0) |
$3001^{8}$ |
$1$ |
$338.00313152949644$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
$[2, 2]$ |
$2$ |
$10$ |
$182023915501.649$ |
$9$ |
$3001$ |
| 11.11.270...841.1 |
$x^{11} - 178 x^{9} - 36 x^{8} + 9850 x^{7} + 3981 x^{6} - 187211 x^{5} - 23214 x^{4} + 1031588 x^{3} - 171775 x^{2} - 261279 x - 12691$ |
$11$ |
(11, 0) |
$3581^{8}$ |
$1$ |
$384.3531239480313$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
$[2, 2]$ |
$2$ |
$10$ |
$123956548381.318$ |
$9$ |
$3581$ |
| 11.11.970...601.1 |
$x^{11} - 5 x^{10} - 343 x^{9} - 839 x^{8} + 32709 x^{7} + 292220 x^{6} + 869434 x^{5} + 308993 x^{4} - 3128188 x^{3} - 5329883 x^{2} - 2549470 x - 239221$ |
$11$ |
(11, 0) |
$4201^{8}$ |
$1$ |
$431.6836365716878$ |
|
|
|
? |
$C_{11}:C_5$ (as 11T3) |
trivial |
$[2, 2]$ |
$2$ |
$10$ |
$150381787190.578$ |
$9$ |
$4201$ |
