| 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 |
| 11.3.117...216.1 |
$x^{11} - 11 x^{9} - 55 x^{8} + 77 x^{7} + 792 x^{6} - 352 x^{5} - 4037 x^{4} + 737 x^{3} + 7557 x^{2} - 528 x - 1858$ |
$11$ |
[3,4] |
$2^{8}\cdot 11^{16}$ |
$2$ |
$54.1606543287$ |
$77.89698382370653$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$1258534.69335$ |
| 11.3.117...216.2 |
$x^{11} - 22 x^{9} - 11 x^{8} + 143 x^{7} + 143 x^{6} - 209 x^{5} - 1188 x^{4} - 3619 x^{3} - 4059 x^{2} - 2948 x - 3486$ |
$11$ |
[3,4] |
$2^{8}\cdot 11^{16}$ |
$2$ |
$54.1606543287$ |
$77.89698382370653$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$1258534.69335$ |
| 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 |
$[2, 2]$ |
$2$ |
$10$ |
$48372191.2791$ |
| 11.3.301...296.1 |
$x^{11} + 11 x^{9} - 44 x^{8} - 352 x^{7} - 1958 x^{6} - 7744 x^{5} - 17424 x^{4} - 9196 x^{3} + 18392 x^{2} + 5808 x - 13288$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{16}$ |
$2$ |
$89.6633185226$ |
$138.7966460710778$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$52170956.4414$ |
| 11.3.301...296.2 |
$x^{11} - 33 x^{9} - 22 x^{8} + 396 x^{7} - 132 x^{6} - 1408 x^{5} + 4048 x^{4} + 26048 x^{3} + 16192 x^{2} - 352000 x - 60672$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{16}$ |
$2$ |
$89.6633185226$ |
$138.7966460710778$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$52170956.4414$ |
| 11.3.243...976.1 |
$x^{11} + 33 x^{9} - 110 x^{8} + 363 x^{7} - 1980 x^{6} + 1463 x^{5} - 6666 x^{4} + 5016 x^{3} - 6292 x^{2} - 9504 x + 13392$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$2824285089.59$ |
| 11.3.243...976.2 |
$x^{11} - 11 x^{9} - 110 x^{8} - 220 x^{7} + 3608 x^{6} + 462 x^{5} - 18040 x^{4} - 68222 x^{3} + 81972 x^{2} + 352176 x + 515160$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$665971016.963$ |
| 11.3.243...976.3 |
$x^{11} - 22 x^{8} - 88 x^{7} - 880 x^{6} + 352 x^{5} - 7216 x^{4} + 53504 x^{3} - 72864 x^{2} + 528000 x - 461952$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$665971016.963$ |
| 11.3.243...976.4 |
$x^{11} - 22 x^{9} - 66 x^{8} + 1276 x^{6} + 5038 x^{5} + 11264 x^{4} + 14168 x^{3} + 2156 x^{2} - 7744 x + 224$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$306439634.482$ |
| 11.3.243...976.5 |
$x^{11} - 44 x^{9} - 110 x^{8} + 902 x^{7} + 1056 x^{6} - 7414 x^{5} + 16808 x^{4} + 42515 x^{3} - 223476 x^{2} - 743820 x - 344186$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$306439634.482$ |
| 11.3.243...976.6 |
$x^{11} - 55 x^{9} - 154 x^{8} - 264 x^{7} - 2024 x^{6} - 7150 x^{5} + 3432 x^{4} - 15554 x^{3} + 31900 x^{2} + 20592 x + 86888$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{16}$ |
$3$ |
$133.694470808$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$2824285089.59$ |
| 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 |
$2$ |
$10$ |
$677575079.592$ |
| 11.3.548...696.1 |
$x^{11} + 44 x^{9} - 22 x^{8} + 132 x^{7} - 572 x^{6} - 7744 x^{5} + 4224 x^{4} + 30976 x^{3} - 19712 x^{2} + 32768$ |
$11$ |
[3,4] |
$2^{14}\cdot 3^{6}\cdot 11^{16}$ |
$3$ |
$143.922945661$ |
$707.1888968800598$ |
|
|
|
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$814721686.599$ |
| 11.3.625...256.1 |
$x^{11} - 55 x^{9} - 176 x^{8} + 2343 x^{7} + 13904 x^{6} - 9801 x^{5} - 183744 x^{4} - 222552 x^{3} + 589248 x^{2} + 1477872 x + 873216$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$179.547687833$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$103433595101$ |
| 11.3.625...256.2 |
$x^{11} - 55 x^{9} - 55 x^{8} + 1056 x^{7} + 220 x^{6} - 10560 x^{5} + 32670 x^{4} - 64713 x^{3} + 96228 x^{2} - 107217 x + 65097$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$179.547687833$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$2542232225.35$ |
| 11.3.625...256.3 |
$x^{11} - 88 x^{8} + 66 x^{7} - 1584 x^{6} + 2508 x^{5} + 18216 x^{4} - 8019 x^{3} - 240768 x^{2} + 96228 x + 425088$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$179.547687833$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$103433595101$ |
| 11.3.625...256.4 |
$x^{11} - 88 x^{9} - 253 x^{8} + 1716 x^{7} + 17017 x^{6} + 24079 x^{5} - 117777 x^{4} - 685267 x^{3} - 1543674 x^{2} - 1897137 x - 1140267$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$179.547687833$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$2542232225.35$ |
| 11.3.160...536.1 |
$x^{11} - 154 x^{9} - 682 x^{8} + 5280 x^{7} + 89584 x^{6} + 490138 x^{5} + 967560 x^{4} + 280247 x^{3} - 820776 x^{2} + 967032 x - 42294$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$297.242374999$ |
$600.5382094683642$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$189384639234$ |
| 11.3.160...536.2 |
$x^{11} - 55 x^{9} - 198 x^{8} - 3234 x^{7} - 3300 x^{6} - 55462 x^{5} - 11484 x^{4} - 283052 x^{3} + 260040 x^{2} + 584496 x - 733344$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$297.242374999$ |
$674.0813486879033$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$350776684474$ |
| 11.3.160...536.3 |
$x^{11} - 88 x^{9} - 748 x^{8} - 726 x^{7} + 44836 x^{6} + 268950 x^{5} + 301752 x^{4} - 2156649 x^{3} - 8671212 x^{2} - 5084640 x - 3489696$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$297.242374999$ |
$600.5382094683642$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$189384639234$ |
| 11.3.160...536.4 |
$x^{11} - 99 x^{9} - 550 x^{8} + 3267 x^{7} + 37620 x^{6} + 31229 x^{5} - 384054 x^{4} - 355014 x^{3} + 1468324 x^{2} + 454344 x - 3442608$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$297.242374999$ |
$674.0813486879033$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$350776684474$ |
| 11.3.202...944.1 |
$x^{11} - 22 x^{8} + 2112 x^{7} + 1914 x^{6} + 968 x^{5} - 23232 x^{4} - 92565 x^{3} + 359370 x^{2} - 362637 x + 106920$ |
$11$ |
[3,4] |
$2^{10}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$303.676497194$ |
$1366.6935163272015$ |
|
|
? |
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$19337013445.7$ |
| 11.3.505...336.1 |
$x^{11} - 110 x^{9} - 484 x^{8} + 5401 x^{7} + 22484 x^{6} - 116248 x^{5} - 453904 x^{4} - 2387968 x^{3} - 6994944 x^{2} - 7118848 x - 2506752$ |
$11$ |
[3,4] |
$2^{24}\cdot 3^{8}\cdot 11^{16}$ |
$3$ |
$330.022074993$ |
$1260.067363427052$ |
|
|
|
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$115991956666$ |
| 11.3.144...824.1 |
$x^{11} + 99 x^{9} - 286 x^{8} + 3267 x^{7} - 12540 x^{6} + 58861 x^{5} - 32274 x^{4} - 96096 x^{3} + 596772 x^{2} - 845856 x + 332208$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{14}\cdot 11^{16}$ |
$3$ |
$362.961065988$ |
$721.2085287457858$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$170512999958$ |
| 11.3.144...824.2 |
$x^{11} + 99 x^{9} - 352 x^{8} + 7326 x^{7} - 11418 x^{6} + 643544 x^{5} - 2510904 x^{4} + 1577004 x^{3} + 3297448 x^{2} - 4019928 x + 1242792$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{14}\cdot 11^{16}$ |
$3$ |
$362.961065988$ |
$721.2085287457858$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$157372407442$ |
| 11.3.144...824.3 |
$x^{11} - 198 x^{9} - 1210 x^{8} + 2574 x^{7} + 37884 x^{6} + 42152 x^{5} + 376464 x^{4} + 3477177 x^{3} + 1423972 x^{2} - 14640186 x + 9778794$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{14}\cdot 11^{16}$ |
$3$ |
$362.961065988$ |
$721.2085287457858$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$170512999958$ |
| 11.3.144...824.4 |
$x^{11} - 198 x^{9} - 462 x^{8} + 14256 x^{7} + 50292 x^{6} - 393954 x^{5} - 2166912 x^{4} + 1402533 x^{3} + 30223556 x^{2} + 72607590 x + 57296106$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{14}\cdot 11^{16}$ |
$3$ |
$362.961065988$ |
$721.2085287457858$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
trivial |
$2$ |
$6$ |
$157372407442$ |
| 11.3.102...304.1 |
$x^{11} - 132 x^{9} - 539 x^{8} + 6006 x^{7} + 47784 x^{6} + 3784 x^{5} - 1057386 x^{4} - 4290000 x^{3} - 5549808 x^{2} + 2160576 x + 2744928$ |
$11$ |
[3,4] |
$2^{22}\cdot 3^{12}\cdot 11^{16}$ |
$3$ |
$433.819332877$ |
$2253.81471709917$ |
|
|
|
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$849693933990$ |
| 11.3.829...624.1 |
$x^{11} - 66 x^{9} - 484 x^{8} + 5643 x^{7} + 924 x^{6} + 207328 x^{5} - 1002936 x^{4} - 1198032 x^{3} + 38880512 x^{2} - 38856576 x + 9899136$ |
$11$ |
[3,4] |
$2^{22}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$646.855894817$ |
$3250.5633072887913$ |
|
|
|
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$3626466019480$ |
| 11.3.110...832.1 |
$x^{11} - 33 x^{9} - 264 x^{8} + 2145 x^{7} + 7392 x^{6} - 8789 x^{5} - 185592 x^{4} - 86658 x^{3} - 583264 x^{2} + 2724678 x + 16626384$ |
$11$ |
[3,4] |
$2^{24}\cdot 3^{15}\cdot 11^{16}$ |
$3$ |
$663.996220281$ |
$2980.7796954765695$ |
|
|
|
$S_{11}$ (as 11T8) |
trivial |
trivial |
$2$ |
$6$ |
$10948825288100$ |
| 11.3.331...496.1 |
$x^{11} - 132 x^{9} - 660 x^{8} + 8184 x^{7} + 62304 x^{6} - 39776 x^{5} - 1557600 x^{4} - 6433152 x^{3} - 8417024 x^{2} + 41817600 x + 88100352$ |
$11$ |
[3,4] |
$2^{24}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$733.736741547$ |
$3345.8120825436195$ |
|
|
|
$A_{11}$ (as 11T7) |
trivial |
trivial |
$2$ |
$6$ |
$7381383760590$ |
| 12.0.188...456.1 |
$x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 297 x^{8} - 594 x^{7} + 1023 x^{6} - 1210 x^{5} + 2090 x^{4} - 1144 x^{3} + 1100 x^{2} + 408 x + 280$ |
$12$ |
[0,6] |
$2^{12}\cdot 11^{16}$ |
$2$ |
$48.9275619925$ |
$77.89698382370653$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$81117.2987813$ |
| 12.0.192...944.1 |
$x^{12} - 2 x^{11} + 33 x^{10} - 110 x^{9} + 550 x^{8} - 1606 x^{7} + 4719 x^{6} - 6798 x^{5} + 16764 x^{4} - 1782 x^{3} + 15411 x^{2} - 4002 x + 1063$ |
$12$ |
[0,6] |
$2^{22}\cdot 11^{16}$ |
$2$ |
$87.1790045217$ |
$138.7966460710778$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$5695804.08005$ |
| 12.0.140...176.1 |
$x^{12} - 4 x^{11} - 22 x^{10} + 495 x^{8} + 880 x^{7} - 2596 x^{6} - 16016 x^{5} - 16885 x^{4} + 47212 x^{3} + 212586 x^{2} + 310968 x + 234385$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{16}$ |
$3$ |
$150.998465185$ |
$240.40284291526194$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$101720094.196$ |
| 12.0.140...176.2 |
$x^{12} - 132 x^{9} - 143 x^{8} - 264 x^{7} + 7744 x^{6} + 34848 x^{5} + 162019 x^{4} + 473352 x^{3} + 1066736 x^{2} + 1633764 x + 1494955$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{16}$ |
$3$ |
$150.998465185$ |
$240.40284291526194$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$72864731.4251$ |
| 12.0.140...176.3 |
$x^{12} - 4 x^{11} + 66 x^{10} - 308 x^{9} + 1331 x^{8} - 2904 x^{7} + 6248 x^{6} + 37840 x^{5} + 141999 x^{4} + 173756 x^{3} + 537526 x^{2} + 334932 x + 259089$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{16}$ |
$3$ |
$150.998465185$ |
$240.40284291526194$ |
|
|
|
$\PSL(2,11)$ (as 12T179) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$665279714.869$ |
| 12.0.810...776.1 |
$x^{12} - 6 x^{11} - 66 x^{10} + 286 x^{9} + 3399 x^{8} - 5676 x^{7} - 99836 x^{6} - 61182 x^{5} + 1822986 x^{4} + 889020 x^{3} - 4970790 x^{2} - 39556944 x + 77021757$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$211.69726578$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 12T179) |
$[12]$ |
$[12]$ |
$2$ |
$5$ |
$506074219.899$ |
| 12.0.810...776.2 |
$x^{12} - 132 x^{9} + 726 x^{8} - 1716 x^{7} + 28952 x^{6} - 4092 x^{5} + 1261161 x^{4} + 2610564 x^{3} + 1638648 x^{2} - 46951920 x + 63954000$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$211.69726578$ |
$337.04067434395165$ |
|
|
|
$\PSL(2,11)$ (as 12T179) |
$[12]$ |
$[12]$ |
$2$ |
$5$ |
$44249324260.0$ |
| 12.0.829...624.1 |
$x^{12} - 6 x^{11} + 165 x^{10} - 770 x^{9} + 12936 x^{8} - 47190 x^{7} + 427669 x^{6} - 1032306 x^{5} + 7052364 x^{4} - 12733446 x^{3} + 69797673 x^{2} - 78320898 x + 266210415$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$377.201645434$ |
$600.5382094683642$ |
|
|
|
$\PSL(2,11)$ (as 12T179) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$61141652489.2$ |
| 12.0.331...496.1 |
$x^{12} - 66 x^{10} - 396 x^{9} + 2046 x^{8} + 22176 x^{7} + 44000 x^{6} - 491040 x^{5} - 2099592 x^{4} + 2860704 x^{3} + 52313184 x^{2} + 106043904 x + 74124864$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$423.394531559$ |
$674.0813486879033$ |
|
|
|
$\PSL(2,11)$ (as 12T179) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$5$ |
$298140290899$ |
| 12.0.746...616.1 |
$x^{12} - 132 x^{10} + 9108 x^{8} - 353100 x^{6} - 228096 x^{5} + 7781400 x^{4} + 8667648 x^{3} - 103926240 x^{2} - 111912192 x + 1259471268$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}\cdot 11^{16}$ |
$3$ |
$452.995395555$ |
$721.2085287457858$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$5$ |
$49212071418.7$ |
| 12.0.746...616.2 |
$x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 2112 x^{8} - 7854 x^{7} + 24013 x^{6} - 35442 x^{5} + 1081080 x^{4} - 2029698 x^{3} + 1589841 x^{2} + 6368382 x + 214386723$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}\cdot 11^{16}$ |
$3$ |
$452.995395555$ |
$721.2085287457858$ |
|
|
? |
$\PSL(2,11)$ (as 12T179) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$5$ |
$39976757877.1$ |
| 22.2.150...625.1 |
$x^{22} - 22 x^{20} + 209 x^{18} - 1122 x^{16} + 3740 x^{14} - 8008 x^{12} - 1129 x^{11} + 11011 x^{10} + 12419 x^{9} - 9438 x^{8} - 49676 x^{7} + 4719 x^{6} + 86933 x^{5} - 1210 x^{4} - 62095 x^{3} + 121 x^{2} + 12419 x + 12379$ |
$22$ |
[2,10] |
$5^{16}\cdot 11^{24}$ |
$2$ |
$44.0967486111$ |
$130.2321317975223$ |
|
|
? |
$C_{11}^2:C_{20}$ (as 22T18) |
trivial |
trivial |
$2$ |
$11$ |
$3420605177.44$ |
| 22.14.736...321.1 |
$x^{22} - 66 x^{19} - 231 x^{18} + 1485 x^{16} + 10494 x^{15} + 17820 x^{14} - 37125 x^{13} - 139689 x^{12} - 1242 x^{11} + 3267 x^{10} - 2339172 x^{9} - 3977424 x^{8} + 6373620 x^{7} + 23097690 x^{6} + 23541111 x^{5} + 9752886 x^{4} + 812592 x^{3} - 477576 x^{2} - 109593 x - 6399$ |
$22$ |
[14,4] |
$3^{20}\cdot 11^{32}$ |
$2$ |
$88.8177141494$ |
$105.73949735950434$ |
|
|
? |
$C_2^{10}:C_{11}:C_5$ (as 22T33) |
trivial |
$[2]$ |
$2$ |
$17$ |
$184180716281000$ |
| 22.14.736...321.2 |
$x^{22} - 44 x^{20} - 66 x^{19} + 649 x^{18} + 2112 x^{17} - 1815 x^{16} - 20064 x^{15} - 31317 x^{14} + 33396 x^{13} + 179157 x^{12} + 228075 x^{11} + 12771 x^{10} - 323499 x^{9} - 376893 x^{8} + 26664 x^{7} + 352836 x^{6} + 134178 x^{5} - 129811 x^{4} - 61842 x^{3} + 21263 x^{2} + 7128 x - 1552$ |
$22$ |
[14,4] |
$3^{20}\cdot 11^{32}$ |
$2$ |
$88.8177141494$ |
$105.73949735950434$ |
|
|
? |
$C_2^{10}:C_{11}:C_5$ (as 22T33) |
trivial |
$[2]$ |
$2$ |
$17$ |
$254265301808000$ |
| 22.2.322...625.1 |
$x^{22} - 22 x^{20} + 209 x^{18} - 1122 x^{16} + 3740 x^{14} - 8008 x^{12} - 121 x^{11} + 11011 x^{10} + 1331 x^{9} - 9438 x^{8} - 5324 x^{7} + 4719 x^{6} + 9317 x^{5} - 1210 x^{4} - 6655 x^{3} + 121 x^{2} + 1331 x + 1129$ |
$22$ |
[2,10] |
$5^{16}\cdot 11^{32}$ |
$2$ |
$105.461712197$ |
$130.2321317975223$ |
|
|
? |
$C_{11}^2:C_{20}$ (as 22T18) |
trivial |
trivial |
$2$ |
$11$ |
$40057640608100$ |
| 22.22.904...448.1 |
$x^{22} - 99 x^{20} + 3663 x^{18} - 62997 x^{16} + 515625 x^{14} - 1891296 x^{12} + 2785728 x^{10} - 1631619 x^{8} + 296538 x^{6} - 17523 x^{4} + 396 x^{2} - 3$ |
$22$ |
[22,0] |
$2^{12}\cdot 3^{21}\cdot 11^{32}$ |
$3$ |
$136.265244877$ |
|
|
|
? |
$C_2^{10}.C_{11}:C_{10}$ (as 22T36) |
trivial |
$[2, 2, 2]$ |
$2$ |
$21$ |
$165654542977000000$ |
