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 |
11.1.34522712143931.1 |
$x^{11} - 11 x^{8} + 44 x^{5} + 33 x^{4} + 44 x^{3} - 11$ |
$11$ |
[1,5] |
$-\,11^{13}$ |
$1$ |
$17.0112728223$ |
$20.6986330715433$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$549.701696297$ |
11.1.53339349076992.1 |
$x^{11} - 3 x^{10} + 11 x^{9} - 21 x^{8} + 36 x^{7} - 38 x^{6} + 32 x^{5} - 2 x^{4} - 17 x^{3} + 37 x^{2} - 23 x + 15$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 3^{5}\cdot 11^{8}$ |
$3$ |
$17.6975614233$ |
$22.148198538243356$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$701.357741363$ |
11.1.77265229938688.1 |
$x^{11} - 4 x^{10} + 6 x^{9} + 2 x^{8} - 14 x^{7} + 10 x^{6} + 7 x^{5} - 16 x^{4} + 2 x^{3} + 8 x^{2} - x - 8$ |
$11$ |
[1,5] |
$-\,2^{15}\cdot 11^{9}$ |
$2$ |
$18.3039157958$ |
$24.479267048299516$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$900.940644336$ |
11.1.139234453205859.1 |
$x^{11} - 3$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{9}$ |
$2$ |
$19.31057278$ |
$23.496328849167636$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$1213.74771242$ |
11.1.292159150705664.1 |
$x^{11} - 2$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{11}$ |
$2$ |
$20.6564800346$ |
$25.133974703275978$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$1650.51852107$ |
11.1.891598970659375.1 |
$x^{11} + 11 x^{9} + 44 x^{7} + 77 x^{5} + 55 x^{3} + 11 x - 1$ |
$11$ |
[1,5] |
$-\,5^{5}\cdot 11^{11}$ |
$2$ |
$22.8615842964$ |
$29.928334099511996$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$3096.8070415454536$ |
11.1.278...875.1 |
$x^{11} - 5$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{11}$ |
$2$ |
$47.5138215036$ |
$57.812908381807944$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$158012.330599$ |
11.11.348...541.1 |
$x^{11} - 4 x^{10} - 17 x^{9} + 78 x^{8} + 75 x^{7} - 494 x^{6} - 8 x^{5} + 1260 x^{4} - 522 x^{3} - 1122 x^{2} + 748 x - 9$ |
$11$ |
[11,0] |
$3^{5}\cdot 7^{5}\cdot 31^{8}$ |
$3$ |
$48.4881323872$ |
$71.48237976311032$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$10$ |
$1374042.48636$ |
11.11.491...848.1 |
$x^{11} - 22 x^{9} + 176 x^{7} - 616 x^{5} + 880 x^{3} - 352 x - 88$ |
$11$ |
[11,0] |
$2^{10}\cdot 7^{5}\cdot 11^{11}$ |
$3$ |
$50.0255405753$ |
$66.49824652345667$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$10$ |
$1966590.40257$ |
11.1.172...536.1 |
$x^{11} - 6$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 3^{10}\cdot 11^{11}$ |
$3$ |
$56.079342456$ |
$68.23509002057382$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$411925.942632$ |
11.1.805...139.1 |
$x^{11} - 7$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{11}$ |
$2$ |
$64.5154351105$ |
$78.49978850830922$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$909744.623011$ |
11.11.552...152.1 |
$x^{11} - 33 x^{9} + 396 x^{7} - 2079 x^{5} + 4455 x^{3} - 2673 x - 810$ |
$11$ |
[11,0] |
$2^{15}\cdot 3^{10}\cdot 11^{11}$ |
$3$ |
$76.8483821571$ |
$102.77538915918468$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$10$ |
$22811054.8299$ |
11.11.285...000.1 |
$x^{11} - 55 x^{9} + 1100 x^{7} - 9625 x^{5} + 34375 x^{3} - 34375 x - 13900$ |
$11$ |
[11,0] |
$2^{10}\cdot 5^{10}\cdot 11^{11}$ |
$3$ |
$89.2243913869$ |
$115.62581676361589$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$10$ |
$52622964.70901569$ |
11.1.740...211.1 |
$x^{11} - 11$ |
$11$ |
[1,5] |
$-\,11^{21}$ |
$1$ |
$97.3001047979$ |
$118.39085693817698$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$8235480.79935$ |
11.11.193...000.1 |
$x^{11} - x^{10} - 53 x^{9} + 31 x^{8} + 996 x^{7} - 28 x^{6} - 7812 x^{5} - 5784 x^{4} + 20673 x^{3} + 36219 x^{2} + 19909 x + 3279$ |
$11$ |
[11,0] |
$2^{10}\cdot 5^{5}\cdot 7^{10}\cdot 11^{8}$ |
$4$ |
$130.925642711$ |
$167.70025700875578$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$10$ |
$501847260.162$ |
11.1.757...064.1 |
$x^{11} - 11264$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$271050383.346$ |
11.1.757...064.2 |
$x^{11} - 176$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$265031131.46$ |
11.1.757...064.3 |
$x^{11} - 22$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
$[2]$ |
$2$ |
$5$ |
$220610692.318$ |
11.1.757...064.4 |
$x^{11} - 242$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$280043219.164$ |
11.1.757...064.5 |
$x^{11} - 2816$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$260034559.006$ |
11.1.757...064.6 |
$x^{11} - 352$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$271381718.281$ |
11.1.757...064.7 |
$x^{11} - 44$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$257977373.552$ |
11.1.757...064.8 |
$x^{11} - 5632$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$264730608.02$ |
11.1.757...064.9 |
$x^{11} - 88$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$303811982.685$ |
11.1.757...064.10 |
$x^{11} - 968$ |
$11$ |
[1,5] |
$-\,2^{10}\cdot 11^{21}$ |
$2$ |
$182.716152011$ |
$222.3216702379646$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$311721977.2$ |
11.1.436...339.1 |
$x^{11} - 11979$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$1921896288.85$ |
11.1.436...339.2 |
$x^{11} - 216513$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2082979437.77$ |
11.1.436...339.3 |
$x^{11} - 2673$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$1907416885.24$ |
11.1.436...339.4 |
$x^{11} - 297$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2368580354.64$ |
11.1.436...339.5 |
$x^{11} - 3267$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$3225989916.98$ |
11.1.436...339.6 |
$x^{11} - 33$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2073967186.67$ |
11.1.436...339.7 |
$x^{11} - 363$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2111298912.27$ |
11.1.436...339.8 |
$x^{11} - 649539$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2030141533.6$ |
11.1.436...339.9 |
$x^{11} - 891$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$2176959437.14$ |
11.1.436...339.10 |
$x^{11} - 99$ |
$11$ |
[1,5] |
$-\,3^{10}\cdot 11^{21}$ |
$2$ |
$264.155649406$ |
$321.4139775407842$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$1953815970.82$ |
11.1.722...875.1 |
$x^{11} - 107421875$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$31352699295.6$ |
11.1.722...875.2 |
$x^{11} - 1375$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$27597434291.4$ |
11.1.722...875.3 |
$x^{11} - 15125$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$26662463524.6$ |
11.1.722...875.4 |
$x^{11} - 275$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$42462351549.4$ |
11.1.722...875.5 |
$x^{11} - 33275$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$25344300655.2$ |
11.1.722...875.6 |
$x^{11} - 34375$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$25550869987.5$ |
11.1.722...875.7 |
$x^{11} - 55$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
✓ |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$29427597064.4$ |
11.1.722...875.8 |
$x^{11} - 605$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$25948338931.0$ |
11.1.722...875.9 |
$x^{11} - 6655$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$26010869816.8$ |
11.1.722...875.10 |
$x^{11} - 805255$ |
$11$ |
[1,5] |
$-\,5^{10}\cdot 11^{21}$ |
$2$ |
$420.28180106$ |
$511.3820040203466$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$26249111567.6$ |
11.1.209...539.1 |
$x^{11} - 1127357$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{21}$ |
$2$ |
$570.668963394$ |
$694.3670589522617$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$137512183758$ |
11.1.209...539.2 |
$x^{11} - 184877$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{21}$ |
$2$ |
$570.668963394$ |
$694.3670589522617$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$134787209665$ |
11.1.209...539.3 |
$x^{11} - 3107227739$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{21}$ |
$2$ |
$570.668963394$ |
$694.3670589522617$ |
|
|
? |
$F_{11}$ (as 11T4) |
$[2]$ |
$2$ |
$5$ |
$69248281708.1$ |
11.1.209...539.4 |
$x^{11} - 3773$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{21}$ |
$2$ |
$570.668963394$ |
$694.3670589522617$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$224378128594$ |
11.1.209...539.5 |
$x^{11} - 41503$ |
$11$ |
[1,5] |
$-\,7^{10}\cdot 11^{21}$ |
$2$ |
$570.668963394$ |
$694.3670589522617$ |
|
|
? |
$F_{11}$ (as 11T4) |
trivial |
$2$ |
$5$ |
$165881406893$ |