| 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 |
| 11.3.11239665258721.1 |
$x^{11} - 2 x^{10} + 3 x^{9} + 2 x^{8} - 5 x^{7} + 16 x^{6} - 10 x^{5} + 10 x^{4} + 2 x^{3} - 3 x^{2} + 4 x - 1$ |
$11$ |
[3,4] |
$1831^{4}$ |
$1$ |
$15.3614469435$ |
$42.790185790669334$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$200.975946209$ |
| 11.3.11239665258721.2 |
$x^{11} - 2 x^{10} + x^{9} - 5 x^{8} + 13 x^{7} - 9 x^{6} + x^{5} - 8 x^{4} + 9 x^{3} - 3 x^{2} - 2 x + 1$ |
$11$ |
[3,4] |
$1831^{4}$ |
$1$ |
$15.3614469435$ |
$42.790185790669334$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$200.975946209$ |
| 11.3.62681703372838449.1 |
$x^{11} - x^{10} - 12 x^{9} - 9 x^{8} + 57 x^{7} + 39 x^{6} - 3 x^{5} + 297 x^{4} + 135 x^{3} + 61 x^{2} + 5 x + 3$ |
$11$ |
[3,4] |
$3^{10}\cdot 101^{6}$ |
$2$ |
$33.65214868451468$ |
$78.13681651466719$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$46184.871944782644$ |
| 11.3.62681703372838449.2 |
$x^{11} - 2 x^{10} - 2 x^{9} + x^{8} - 11 x^{7} - 23 x^{6} - 133 x^{5} + 32 x^{4} - 94 x^{3} - 493 x^{2} - 22 x - 1$ |
$11$ |
[3,4] |
$3^{10}\cdot 101^{6}$ |
$2$ |
$33.65214868451468$ |
$78.13681651466719$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$46184.871944782644$ |
| 11.3.287...176.1 |
$x^{11} - 3 x^{10} - 6 x^{9} + 64 x^{8} - 201 x^{7} + 177 x^{6} + 778 x^{5} - 3498 x^{4} + 7108 x^{3} - 8336 x^{2} + 5436 x - 1532$ |
$11$ |
[3,4] |
$2^{16}\cdot 31^{4}\cdot 83^{4}$ |
$3$ |
$47.6454830244$ |
$180.76244978897972$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$1322984.42638$ |
| 11.3.287...176.2 |
$x^{11} - 4 x^{10} - 9 x^{9} - 2 x^{8} - 87 x^{7} + 144 x^{6} - 17 x^{5} + 122 x^{4} - 26 x^{3} - 72 x^{2} - 24 x + 328$ |
$11$ |
[3,4] |
$2^{16}\cdot 31^{4}\cdot 83^{4}$ |
$3$ |
$47.6454830244$ |
$180.76244978897972$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$1322984.42638$ |
| 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 |
$2$ |
$6$ |
$1258534.69335$ |
| 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 |
$2$ |
$6$ |
$1258534.69335$ |
| 11.3.166...936.1 |
$x^{11} - 22 x^{9} + 165 x^{7} - 44 x^{6} - 858 x^{5} - 660 x^{4} + 924 x^{3} + 1760 x^{2} + 968 x + 176$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{12}$ |
$3$ |
$55.9017234512$ |
$112.82959154750927$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$8505597.41689$ |
| 11.3.166...936.2 |
$x^{11} - 22 x^{9} - 44 x^{8} + 143 x^{7} + 484 x^{6} + 594 x^{5} - 1188 x^{4} - 3168 x^{3} + 528 x^{2} + 2640 x + 1376$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{12}$ |
$3$ |
$55.9017234512$ |
$112.82959154750927$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$8505597.41689$ |
| 11.11.313...201.1 |
$x^{11} - 4 x^{10} - 25 x^{9} + 81 x^{8} + 237 x^{7} - 562 x^{6} - 1010 x^{5} + 1574 x^{4} + 1805 x^{3} - 1586 x^{2} - 847 x + 579$ |
$11$ |
[11,0] |
$74843^{4}$ |
$1$ |
$59.2132111445$ |
$273.57448711456993$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$10$ |
$2978508.35907$ |
| 11.11.313...201.2 |
$x^{11} - 20 x^{9} + 143 x^{7} - 4 x^{6} - 463 x^{5} + 54 x^{4} + 691 x^{3} - 186 x^{2} - 392 x + 177$ |
$11$ |
[11,0] |
$74843^{4}$ |
$1$ |
$59.2132111445$ |
$273.57448711456993$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$10$ |
$2978508.35907$ |
| 11.3.450...961.1 |
$x^{11} - 11 x^{9} - 11 x^{8} - 11 x^{7} + 66 x^{6} + 451 x^{5} + 1155 x^{4} + 1100 x^{3} - 913 x^{2} - 1034 x + 556$ |
$11$ |
[3,4] |
$3^{4}\cdot 11^{18}$ |
$2$ |
$75.4389715778$ |
$104.32668272868666$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$3113804.48241$ |
| 11.3.450...961.2 |
$x^{11} - 33 x^{9} - 22 x^{8} + 308 x^{7} + 341 x^{6} - 330 x^{5} + 77 x^{4} - 1628 x^{3} - 3806 x^{2} + 858 x + 361$ |
$11$ |
[3,4] |
$3^{4}\cdot 11^{18}$ |
$2$ |
$75.4389715778$ |
$104.32668272868666$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$3113804.48241$ |
| 11.3.960...536.1 |
$x^{11} + 33 x^{9} - 11 x^{8} + 264 x^{7} - 363 x^{6} + 726 x^{5} - 396 x^{4} + 5544 x^{3} + 3168 x^{2} - 7128 x - 2700$ |
$11$ |
[3,4] |
$2^{6}\cdot 3^{14}\cdot 11^{12}$ |
$3$ |
$80.8180114274$ |
$134.32935923674387$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$55934468.1569$ |
| 11.3.960...536.2 |
$x^{11} - 55 x^{8} + 132 x^{6} + 33 x^{5} + 2970 x^{4} - 2772 x^{3} - 9537 x^{2} + 1782 x + 6480$ |
$11$ |
[3,4] |
$2^{6}\cdot 3^{14}\cdot 11^{12}$ |
$3$ |
$80.8180114274$ |
$134.32935923674387$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$55934468.1569$ |
| 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 |
$2$ |
$6$ |
$52170956.4414$ |
| 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 |
$2$ |
$6$ |
$52170956.4414$ |
| 11.3.227...176.1 |
$x^{11} - 110 x^{8} + 11 x^{7} + 1254 x^{6} - 308 x^{5} - 2464 x^{4} + 11880 x^{3} + 18832 x^{2} - 14696 x - 22512$ |
$11$ |
[3,4] |
$2^{12}\cdot 11^{18}$ |
$2$ |
$107.768907457$ |
$170.36475949500863$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$271257739.117$ |
| 11.3.227...176.2 |
$x^{11} - 165 x^{8} + 22 x^{7} - 242 x^{6} + 4631 x^{5} + 9262 x^{4} + 14696 x^{3} - 70895 x^{2} + 54296 x + 17642$ |
$11$ |
[3,4] |
$2^{12}\cdot 11^{18}$ |
$2$ |
$107.768907457$ |
$170.36475949500863$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$271257739.117$ |
| 11.3.227...176.3 |
$x^{11} - 22 x^{9} + 66 x^{7} - 682 x^{6} + 1936 x^{5} + 3322 x^{4} + 2189 x^{3} - 19382 x^{2} - 40810 x - 9242$ |
$11$ |
[3,4] |
$2^{12}\cdot 11^{18}$ |
$2$ |
$107.768907457$ |
$151.77774585039037$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$132920428.198$ |
| 11.3.227...176.4 |
$x^{11} - 44 x^{9} - 44 x^{8} - 88 x^{7} - 2420 x^{6} - 770 x^{5} + 8932 x^{4} + 13596 x^{3} + 4444 x^{2} + 1232 x - 144$ |
$11$ |
[3,4] |
$2^{12}\cdot 11^{18}$ |
$2$ |
$107.768907457$ |
$151.77774585039037$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$132920428.198$ |
| 11.3.109...096.1 |
$x^{11} + 11 x^{9} - 88 x^{8} + 99 x^{7} - 1034 x^{6} + 3971 x^{5} - 6072 x^{4} + 27412 x^{3} - 77198 x^{2} + 77352 x - 25912$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{12}$ |
$3$ |
$124.286075145$ |
$251.1032857588493$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$899199572.54$ |
| 11.3.109...096.2 |
$x^{11} - 22 x^{9} - 88 x^{8} + 1672 x^{6} + 4202 x^{5} + 4224 x^{4} - 28028 x^{3} - 77528 x^{2} - 138864 x - 70480$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{12}\cdot 11^{12}$ |
$3$ |
$124.286075145$ |
$251.1032857588493$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$899199572.54$ |
| 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 |
$2$ |
$6$ |
$2824285089.59$ |
| 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 |
$2$ |
$6$ |
$665971016.963$ |
| 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 |
$2$ |
$6$ |
$665971016.963$ |
| 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 |
$2$ |
$6$ |
$306439634.482$ |
| 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 |
$2$ |
$6$ |
$306439634.482$ |
| 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 |
$2$ |
$6$ |
$2824285089.59$ |
| 11.3.364...816.1 |
$x^{11} + 22 x^{9} - 154 x^{8} - 396 x^{7} + 2728 x^{6} - 8030 x^{5} - 8052 x^{4} + 69399 x^{3} - 83160 x^{2} + 32076 x - 30618$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{18}$ |
$2$ |
$138.662470321$ |
$214.6461466480388$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$1066490782.83$ |
| 11.3.364...816.2 |
$x^{11} + 33 x^{9} - 176 x^{8} + 99 x^{7} + 154 x^{6} - 4543 x^{5} + 10472 x^{4} - 23848 x^{3} + 12650 x^{2} + 16060 x - 64092$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{18}$ |
$2$ |
$138.662470321$ |
$214.6461466480388$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$1066490782.83$ |
| 11.3.364...816.3 |
$x^{11} - 220 x^{8} - 1111 x^{7} - 440 x^{6} - 10934 x^{5} - 2508 x^{4} - 18260 x^{3} - 120208 x^{2} + 293656 x - 303920$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{18}$ |
$2$ |
$138.662470321$ |
$240.9321534282717$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$2819288512.32$ |
| 11.3.364...816.4 |
$x^{11} - 66 x^{9} - 44 x^{8} + 1914 x^{7} + 3564 x^{6} - 21736 x^{5} - 61204 x^{4} + 62645 x^{3} + 236852 x^{2} - 171622 x - 498048$ |
$11$ |
[3,4] |
$2^{16}\cdot 11^{18}$ |
$2$ |
$138.662470321$ |
$240.9321534282717$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$2819288512.32$ |
| 11.3.184...256.1 |
$x^{11} - 33 x^{9} - 176 x^{8} + 286 x^{7} + 1628 x^{6} - 1760 x^{5} - 23320 x^{4} - 116380 x^{3} - 216920 x^{2} - 431024 x - 382752$ |
$11$ |
[3,4] |
$2^{12}\cdot 3^{4}\cdot 11^{18}$ |
$3$ |
$160.691208951$ |
$262.88676727115245$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$2564167416.73$ |
| 11.3.184...256.2 |
$x^{11} - 55 x^{9} - 88 x^{8} + 1716 x^{7} + 330 x^{6} - 23518 x^{5} + 6116 x^{4} + 277178 x^{3} - 734316 x^{2} + 648384 x - 108216$ |
$11$ |
[3,4] |
$2^{12}\cdot 3^{4}\cdot 11^{18}$ |
$3$ |
$160.691208951$ |
$262.88676727115245$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$2564167416.73$ |
| 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 |
$2$ |
$6$ |
$103433595101$ |
| 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 |
$2$ |
$6$ |
$2542232225.35$ |
| 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 |
$2$ |
$6$ |
$103433595101$ |
| 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 |
$2$ |
$6$ |
$2542232225.35$ |
| 11.3.111...344.1 |
$x^{11} - 66 x^{8} - 957 x^{7} + 6666 x^{6} - 7062 x^{5} - 36696 x^{4} + 147444 x^{3} - 379896 x^{2} + 783288 x - 735168$ |
$11$ |
[3,4] |
$2^{12}\cdot 3^{10}\cdot 11^{16}$ |
$3$ |
$189.189030079$ |
$299.07646248865024$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$935872988.625$ |
| 11.3.111...344.2 |
$x^{11} - 66 x^{9} - 66 x^{8} - 99 x^{7} - 4950 x^{6} + 6237 x^{5} - 19404 x^{4} - 10692 x^{3} + 38016 x^{2} - 27324 x + 64368$ |
$11$ |
[3,4] |
$2^{12}\cdot 3^{10}\cdot 11^{16}$ |
$3$ |
$189.189030079$ |
$299.07646248865024$ |
|
|
? |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$935872988.625$ |
| 11.3.295...096.1 |
$x^{11} - 66 x^{9} - 198 x^{8} + 858 x^{7} - 396 x^{6} + 43846 x^{5} - 116424 x^{4} - 244629 x^{3} - 348480 x^{2} - 23958 x + 86886$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{18}$ |
$3$ |
$206.755737976$ |
$371.77803164328327$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$8987137893.4$ |
| 11.3.295...096.2 |
$x^{11} - 77 x^{9} - 198 x^{8} + 1903 x^{7} + 7260 x^{6} + 30085 x^{5} + 162426 x^{4} - 224312 x^{3} - 891792 x^{2} + 1575376 x - 2400864$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{4}\cdot 11^{18}$ |
$3$ |
$206.755737976$ |
$371.77803164328327$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$8987137893.4$ |
| 11.11.536...401.1 |
$x^{11} - 3 x^{10} - 71 x^{9} + 272 x^{8} + 1617 x^{7} - 8190 x^{6} - 9378 x^{5} + 92787 x^{4} - 73516 x^{3} - 274866 x^{2} + 475325 x - 157109$ |
$11$ |
[11,0] |
$13^{4}\cdot 59^{4}\cdot 3529^{4}$ |
$3$ |
$218.30900210472942$ |
$1645.2182226075665$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$10$ |
$9455726475.598814$ |
| 11.3.840...664.1 |
$x^{11} - 33 x^{9} - 297 x^{8} + 363 x^{7} + 1089 x^{6} + 37752 x^{5} - 159357 x^{4} + 39930 x^{3} + 710754 x^{2} - 1237104 x + 623040$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{10}\cdot 11^{18}$ |
$3$ |
$227.391707226$ |
$327.04789775820893$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$21964398524.0$ |
| 11.3.840...664.2 |
$x^{11} - 66 x^{8} - 1419 x^{7} + 1386 x^{6} + 19998 x^{5} + 104544 x^{4} - 485496 x^{3} - 678480 x^{2} + 2627328 x - 2069952$ |
$11$ |
[3,4] |
$2^{8}\cdot 3^{10}\cdot 11^{18}$ |
$3$ |
$227.391707226$ |
$327.04789775820893$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$21964398524.0$ |
| 11.3.177...504.1 |
$x^{11} + 33 x^{9} - 66 x^{8} + 957 x^{7} + 3960 x^{6} + 35937 x^{5} + 285318 x^{4} - 422532 x^{3} + 2482920 x^{2} + 6551424 x - 36026496$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{10}\cdot 11^{16}$ |
$3$ |
$243.422884091$ |
$422.95798943801736$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$27924111990.8$ |
| 11.3.177...504.2 |
$x^{11} - 66 x^{9} - 330 x^{8} + 858 x^{7} + 13926 x^{6} + 23826 x^{5} - 248754 x^{4} - 613767 x^{3} + 1765830 x^{2} + 5101140 x + 1144248$ |
$11$ |
[3,4] |
$2^{16}\cdot 3^{10}\cdot 11^{16}$ |
$3$ |
$243.422884091$ |
$422.95798943801736$ |
|
|
|
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$27924111990.8$ |
| 11.3.394...761.1 |
$x^{11} - 3 x^{10} + 7 x^{9} - 25 x^{8} + 46 x^{7} - 36 x^{6} - 10 x^{5} + 90 x^{4} - 151 x^{3} + 150 x^{2} - 95 x + 27$ |
$11$ |
[3,4] |
$19^{4}\cdot 23^{4}\cdot 101^{8}$ |
$3$ |
$261.735926982$ |
$978.382170983944$ |
|
|
✓ |
$\PSL(2,11)$ (as 11T5) |
trivial |
$2$ |
$6$ |
$2606722348.88$ |
