| 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 |
| 22.0.116...067.1 |
$x^{22} - 2 x^{21} + 6 x^{20} - 12 x^{19} + 22 x^{18} - 40 x^{17} + 62 x^{16} - 97 x^{15} + 138 x^{14} - 177 x^{13} + 216 x^{12} - 233 x^{11} + 238 x^{10} - 226 x^{9} + 195 x^{8} - 164 x^{7} + 124 x^{6} - 85 x^{5} + 55 x^{4} - 29 x^{3} + 13 x^{2} - 5 x + 1$ |
$22$ |
[0,11] |
$-\,971^{2}\cdot 1867\cdot 25709231^{2}$ |
$3$ |
$12.4136136602$ |
$6826943.634084509$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$584.201894616$ |
| 22.0.327...619.1 |
$x^{22} - x^{21} - 7 x^{19} + 8 x^{18} + 7 x^{17} + 17 x^{16} - 26 x^{15} - 35 x^{14} - 4 x^{13} + 68 x^{12} + 92 x^{11} + 10 x^{10} - 49 x^{9} - 27 x^{8} + 32 x^{7} + 57 x^{6} + 24 x^{5} - 13 x^{4} - 17 x^{3} - 3 x^{2} + 2 x + 1$ |
$22$ |
[0,11] |
$-\,61\cdot 1279\cdot 1609^{2}\cdot 4025911^{2}$ |
$4$ |
$13.0112804134$ |
$22480724.15308682$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$1054.33143917$ |
| 22.0.451...371.1 |
$x^{22} + 2 x^{20} - 5 x^{19} - 4 x^{18} - 9 x^{17} + 8 x^{16} + 16 x^{15} + 29 x^{14} - 7 x^{13} - 29 x^{12} - 55 x^{11} + 4 x^{10} + 37 x^{9} + 57 x^{8} - 3 x^{7} - 30 x^{6} - 33 x^{5} + 7 x^{4} + 12 x^{3} + 5 x^{2} - 3 x + 1$ |
$22$ |
[0,11] |
$-\,11^{4}\cdot 181^{2}\cdot 101771\cdot 304099^{2}$ |
$4$ |
$13.2027018025$ |
$7849737.736003605$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$1214.51296657$ |
| 22.2.412...237.1 |
$x^{22} - 7 x^{20} - 3 x^{19} + 17 x^{18} + 12 x^{17} - 15 x^{16} - 16 x^{15} - x^{14} - x^{13} - 28 x^{12} - 42 x^{11} + 3 x^{10} + 25 x^{9} - 16 x^{8} - 47 x^{7} - 35 x^{6} + 7 x^{5} + 16 x^{4} - 7 x^{3} - 5 x^{2} + 2 x + 1$ |
$22$ |
[2,10] |
$1070197\cdot 6205948139^{2}$ |
$2$ |
$14.5989566434$ |
$81495932.90780456$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$11$ |
$5727.32762159$ |
| 22.2.178...033.1 |
$x^{22} - 11 x^{21} + 65 x^{20} - 265 x^{19} + 825 x^{18} - 2067 x^{17} + 4301 x^{16} - 7582 x^{15} + 11469 x^{14} - 15003 x^{13} + 17039 x^{12} - 16811 x^{11} + 14374 x^{10} - 10594 x^{9} + 6680 x^{8} - 3576 x^{7} + 1630 x^{6} - 656 x^{5} + 261 x^{4} - 113 x^{3} + 48 x^{2} - 15 x + 1$ |
$22$ |
[2,10] |
$149\cdot 33797\cdot 64661^{2}\cdot 92179^{2}$ |
$4$ |
$15.6063233809$ |
$173248472.68320495$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$11$ |
$11377.8928745$ |
| 22.2.289...513.1 |
$x^{22} - x^{21} + x^{20} - 3 x^{19} + 3 x^{18} + x^{17} + 5 x^{16} - 4 x^{15} - 18 x^{14} + 11 x^{13} + 16 x^{12} + 32 x^{11} - 45 x^{10} - 81 x^{9} + 100 x^{8} + 75 x^{7} - 101 x^{6} - 41 x^{5} + 53 x^{4} + 15 x^{3} - 15 x^{2} - 4 x + 1$ |
$22$ |
[2,10] |
$359753\cdot 28385393161^{2}$ |
$2$ |
$15.9524360191$ |
$101053106.56209058$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$11$ |
$15832.2441917$ |
| 22.6.440...573.1 |
$x^{22} - 11 x^{21} + 64 x^{20} - 255 x^{19} + 770 x^{18} - 1857 x^{17} + 3688 x^{16} - 6146 x^{15} + 8690 x^{14} - 10480 x^{13} + 10777 x^{12} - 9386 x^{11} + 6807 x^{10} - 3960 x^{9} + 1680 x^{8} - 341 x^{7} - 170 x^{6} + 212 x^{5} - 109 x^{4} + 28 x^{3} + 3 x^{2} - 5 x + 1$ |
$22$ |
[6,8] |
$37\cdot 163^{2}\cdot 14281\cdot 177106931^{2}$ |
$4$ |
$16.2585616162$ |
$123507051.11934274$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$13$ |
$42752.2517797$ |
| 22.4.951...707.1 |
$x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 879 x^{18} - 2268 x^{17} + 4871 x^{16} - 8878 x^{15} + 13903 x^{14} - 18847 x^{13} + 22192 x^{12} - 22691 x^{11} + 20056 x^{10} - 15173 x^{9} + 9644 x^{8} - 4974 x^{7} + 1932 x^{6} - 448 x^{5} - 27 x^{4} + 71 x^{3} - 24 x^{2} + x + 1$ |
$22$ |
[4,9] |
$-\,139\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}\cdot 9473$ |
$5$ |
$16.8377853307$ |
$188123439.29282743$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$43108.9874663$ |
| 22.4.969...159.1 |
$x^{22} - x^{21} + 3 x^{20} + 3 x^{18} + 5 x^{17} + 7 x^{16} + 4 x^{15} + 12 x^{14} - 17 x^{13} - 35 x^{11} - 28 x^{10} - 29 x^{9} - 20 x^{8} - 6 x^{7} - 11 x^{6} - 26 x^{5} - 22 x^{4} - 11 x^{3} - 4 x^{2} + 9 x - 1$ |
$22$ |
[4,9] |
$-\,173\cdot 7043\cdot 28208540809^{2}$ |
$3$ |
$16.8524111845$ |
$185392519.41428798$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$42357.726741$ |
| 22.10.162...109.1 |
$x^{22} - 5 x^{21} + 4 x^{20} + 19 x^{19} - 39 x^{18} + 11 x^{17} - 8 x^{16} + 47 x^{15} + 183 x^{14} - 603 x^{13} + 274 x^{12} + 853 x^{11} - 1093 x^{10} - 146 x^{9} + 897 x^{8} - 256 x^{7} - 277 x^{6} + 109 x^{5} + 47 x^{4} - 10 x^{3} - 11 x^{2} + x + 1$ |
$22$ |
[10,6] |
$29101\cdot 372881^{2}\cdot 633263^{2}$ |
$3$ |
$17.2515463588$ |
$82895535.3815753$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$15$ |
$172549.025737$ |
| 22.4.189...683.1 |
$x^{22} - x^{21} + x^{20} + x^{19} + x^{18} + 5 x^{17} - 11 x^{16} + 6 x^{15} + 19 x^{14} - 22 x^{13} - 4 x^{12} + 6 x^{11} + 13 x^{10} + 26 x^{9} - 75 x^{8} - 11 x^{7} + 101 x^{6} - 32 x^{5} - 59 x^{4} + 28 x^{3} + 15 x^{2} - 6 x - 1$ |
$22$ |
[4,9] |
$-\,47147\cdot 200601609583^{2}$ |
$2$ |
$17.3745944722$ |
$97251036.43154505$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$64048.1745685$ |
| 22.0.261...704.1 |
$x^{22} + 6 x^{20} + 16 x^{18} + 18 x^{16} + 4 x^{14} + 6 x^{12} + 25 x^{10} + 3 x^{8} - 19 x^{6} - 4 x^{4} + 4 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 971^{2}\cdot 25709231^{2}$ |
$3$ |
$17.6294938054$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$24986.318925$ |
| 22.6.111...149.1 |
$x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 111 x^{18} + 372 x^{17} - 61 x^{16} - 838 x^{15} + 563 x^{14} + 1153 x^{13} - 1030 x^{12} - 1191 x^{11} + 1050 x^{10} + 987 x^{9} - 634 x^{8} - 630 x^{7} + 192 x^{6} + 264 x^{5} - 3 x^{4} - 53 x^{3} - 10 x^{2} + x - 1$ |
$22$ |
[6,8] |
$83\cdot 199\cdot 937\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$ |
$6$ |
$18.8334111471$ |
$644951594.8448861$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$13$ |
$231636.713172$ |
| 22.8.147...499.1 |
$x^{22} - 11 x^{21} + 44 x^{20} - 55 x^{19} - 112 x^{18} + 381 x^{17} - 87 x^{16} - 834 x^{15} + 674 x^{14} + 1020 x^{13} - 1213 x^{12} - 834 x^{11} + 1220 x^{10} + 511 x^{9} - 776 x^{8} - 247 x^{7} + 323 x^{6} + 85 x^{5} - 89 x^{4} - 18 x^{3} + 16 x^{2} + x - 1$ |
$22$ |
[8,7] |
$-\,97\cdot 2381^{2}\cdot 2467\cdot 104446171^{2}$ |
$4$ |
$19.0750493033$ |
$243947516.5618645$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$439864.358869$ |
| 22.10.704...449.1 |
$x^{22} - 11 x^{21} + 43 x^{20} - 45 x^{19} - 147 x^{18} + 411 x^{17} + 19 x^{16} - 1070 x^{15} + 605 x^{14} + 1553 x^{13} - 1312 x^{12} - 1553 x^{11} + 1432 x^{10} + 1195 x^{9} - 928 x^{8} - 712 x^{7} + 352 x^{6} + 291 x^{5} - 71 x^{4} - 67 x^{3} + 7 x^{2} + 7 x - 1$ |
$22$ |
[10,6] |
$71^{2}\cdot 1282529\cdot 3300850529^{2}$ |
$3$ |
$20.4769492981$ |
$548246289.0851672$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$15$ |
$1426414.38682$ |
| 22.0.734...664.1 |
$x^{22} + 13 x^{20} + 75 x^{18} + 255 x^{16} + 572 x^{14} + 895 x^{12} + 999 x^{10} + 790 x^{8} + 425 x^{6} + 140 x^{4} + 21 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 211441^{2}\cdot 625831^{2}$ |
$3$ |
$20.5158137635$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$131820.824712$ |
| 22.8.104...544.1 |
$x^{22} - 2 x^{20} - x^{18} - 2 x^{16} + 18 x^{12} - 24 x^{10} - 3 x^{8} + 36 x^{6} - 27 x^{4} + 4 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 19457^{2}\cdot 8095783^{2}$ |
$3$ |
$20.8434457974$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$967898.03203$ |
| 22.0.117...984.1 |
$x^{22} + 2 x^{20} - x^{16} - 7 x^{14} - 14 x^{12} - x^{10} + 9 x^{8} + 15 x^{6} + 22 x^{4} + 10 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 2089^{2}\cdot 79966751^{2}$ |
$3$ |
$20.9550593338$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$229900.23166$ |
| 22.4.156...136.1 |
$x^{22} + 10 x^{20} + 41 x^{18} + 85 x^{16} + 79 x^{14} - 14 x^{12} - 98 x^{10} - 74 x^{8} - 3 x^{6} + 22 x^{4} + 9 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 610429790897^{2}$ |
$2$ |
$23.5749849842$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$1423923.02805$ |
| 22.8.156...136.1 |
$x^{22} - x^{20} - 4 x^{18} + x^{16} + 5 x^{14} + 7 x^{12} - 7 x^{10} - 5 x^{8} + 7 x^{6} - 3 x^{4} - x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 610429790897^{2}$ |
$2$ |
$23.5749849842$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$4235240.70716$ |
| 22.4.156...136.2 |
$x^{22} - 7 x^{20} + 15 x^{18} - 4 x^{16} - 28 x^{14} + 36 x^{12} + 7 x^{10} - 49 x^{8} - 5 x^{6} + 24 x^{4} + 10 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 610429790897^{2}$ |
$2$ |
$23.5749849842$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$1658767.52591$ |
| 22.6.181...869.1 |
$x^{22} - 11 x^{21} + 64 x^{20} - 255 x^{19} + 769 x^{18} - 1848 x^{17} + 3647 x^{16} - 6022 x^{15} + 8418 x^{14} - 10032 x^{13} + 10228 x^{12} - 8926 x^{11} + 6647 x^{10} - 4183 x^{9} + 2160 x^{8} - 829 x^{7} + 136 x^{6} + 111 x^{5} - 114 x^{4} + 47 x^{3} - 3 x^{2} - 5 x + 1$ |
$22$ |
[6,8] |
$71^{2}\cdot 73^{2}\cdot 1408829\cdot 219034943^{2}$ |
$4$ |
$23.7362031549$ |
$1264667761.6061795$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$13$ |
$2830046.81958$ |
| 22.8.274...864.1 |
$x^{22} - 2 x^{20} - x^{18} + 4 x^{16} - x^{14} - 5 x^{12} - x^{10} + 8 x^{8} + 3 x^{6} - 5 x^{4} - x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 43^{2}\cdot 547^{2}\cdot 34374601^{2}$ |
$4$ |
$24.1850829808$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$6351542.86721$ |
| 22.12.109...056.1 |
$x^{22} - 10 x^{20} + 44 x^{18} - 112 x^{16} + 182 x^{14} - 199 x^{12} + 151 x^{10} - 67 x^{8} - 13 x^{6} + 36 x^{4} - 13 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1619043113033^{2}$ |
$2$ |
$25.7609917609$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$32432175.4537$ |
| 22.12.109...056.2 |
$x^{22} - 12 x^{20} + 64 x^{18} - 200 x^{16} + 406 x^{14} - 557 x^{12} + 507 x^{10} - 271 x^{8} + 51 x^{6} + 18 x^{4} - 9 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1619043113033^{2}$ |
$2$ |
$25.7609917609$ |
|
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$32418931.7126$ |
| 22.2.128...337.1 |
$x^{22} - 11 x^{21} + 75 x^{20} - 365 x^{19} + 1409 x^{18} - 4473 x^{17} + 12052 x^{16} - 27974 x^{15} + 56686 x^{14} - 100938 x^{13} + 158847 x^{12} - 221312 x^{11} + 273270 x^{10} - 298381 x^{9} + 287150 x^{8} - 241819 x^{7} + 176511 x^{6} - 109912 x^{5} + 57096 x^{4} - 23845 x^{3} + 7532 x^{2} - 1599 x + 163$ |
$22$ |
[2,10] |
$31\cdot 43^{2}\cdot 547^{2}\cdot 632447\cdot 34374601^{2}$ |
$5$ |
$25.9411765472$ |
$3981435085.1469045$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$11$ |
$3786540.2671$ |
| 22.0.134...816.1 |
$x^{22} + 12 x^{20} + 64 x^{18} + 200 x^{16} + 403 x^{14} + 544 x^{12} + 510 x^{10} + 358 x^{8} + 197 x^{6} + 73 x^{4} + 14 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 1792166448977^{2}$ |
$2$ |
$26.0000079857$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$10$ |
$3155709.44058$ |
| 22.6.176...277.1 |
$x^{22} - 11 x^{21} + 64 x^{20} - 255 x^{19} + 769 x^{18} - 1848 x^{17} + 3645 x^{16} - 6006 x^{15} + 8346 x^{14} - 9808 x^{13} + 9702 x^{12} - 7954 x^{11} + 5209 x^{10} - 2471 x^{9} + 537 x^{8} + 363 x^{7} - 501 x^{6} + 318 x^{5} - 120 x^{4} + 16 x^{3} + 13 x^{2} - 9 x + 1$ |
$22$ |
[6,8] |
$349^{2}\cdot 1697\cdot 1949\cdot 6615221297^{2}$ |
$4$ |
$26.319845242$ |
$2763323578.596047$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$13$ |
$9070498.76166$ |
| 22.0.155...507.1 |
$x^{22} - 11 x^{21} + 76 x^{20} - 375 x^{19} + 1474 x^{18} - 4773 x^{17} + 13158 x^{16} - 31314 x^{15} + 65238 x^{14} - 119692 x^{13} + 194559 x^{12} - 280546 x^{11} + 359279 x^{10} - 407518 x^{9} + 408092 x^{8} - 358073 x^{7} + 272834 x^{6} - 177710 x^{5} + 97035 x^{4} - 42912 x^{3} + 14655 x^{2} - 3477 x + 467$ |
$22$ |
[0,11] |
$-\,23\cdot 2879\cdot 3371\cdot 56509^{2}\cdot 14792861^{2}$ |
$5$ |
$29.061716771$ |
$13659947365.223434$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
$[2]$ |
$2$ |
$10$ |
$3264151.35122$ |
| 22.14.191...529.1 |
$x^{22} - 11 x^{21} + 43 x^{20} - 45 x^{19} - 146 x^{18} + 402 x^{17} + 46 x^{16} - 1082 x^{15} + 512 x^{14} + 1700 x^{13} - 1234 x^{12} - 1826 x^{11} + 1419 x^{10} + 1403 x^{9} - 797 x^{8} - 807 x^{7} + 55 x^{6} + 331 x^{5} + 160 x^{4} - 51 x^{3} - 59 x^{2} - 14 x - 1$ |
$22$ |
[14,4] |
$7\cdot 251\cdot 33893\cdot 1792166448977^{2}$ |
$4$ |
$29.3323732477$ |
$10330707324.70661$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$17$ |
$205753246.579$ |
| 22.12.237...576.1 |
$x^{22} - 12 x^{20} + 59 x^{18} - 151 x^{16} + 204 x^{14} - 106 x^{12} - 64 x^{10} + 101 x^{8} - 19 x^{6} - 16 x^{4} + 3 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2}$ |
$5$ |
$29.6245630228$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$117361710.917$ |
| 22.8.237...576.1 |
$x^{22} - x^{20} - 6 x^{18} + 5 x^{16} + 10 x^{14} - 8 x^{12} + 5 x^{8} - 10 x^{6} - 2 x^{4} + 4 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2}$ |
$5$ |
$29.6245630228$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$63144845.0704$ |
| 22.16.289...759.1 |
$x^{22} - 11 x^{21} + 43 x^{20} - 45 x^{19} - 152 x^{18} + 456 x^{17} - 114 x^{16} - 1026 x^{15} + 1114 x^{14} + 790 x^{13} - 1814 x^{12} + 120 x^{11} + 1304 x^{10} - 464 x^{9} - 493 x^{8} + 217 x^{7} + 170 x^{6} - 46 x^{5} - 77 x^{4} + 9 x^{3} + 18 x^{2} - 1$ |
$22$ |
[16,3] |
$-\,809\cdot 4759\cdot 8674315276967^{2}$ |
$3$ |
$29.8911403195$ |
$5778960349.413772$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$18$ |
$334750790.993$ |
| 22.4.315...056.1 |
$x^{22} + 12 x^{20} + 58 x^{18} + 144 x^{16} + 193 x^{14} + 130 x^{12} + 21 x^{10} - 40 x^{8} - 45 x^{6} - 18 x^{4} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 8674315276967^{2}$ |
$2$ |
$30.0077336219$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$22686333.3679$ |
| 22.4.316...496.1 |
$x^{22} + 14 x^{20} + 84 x^{18} + 285 x^{16} + 607 x^{14} + 843 x^{12} + 745 x^{10} + 363 x^{8} + 45 x^{6} - 29 x^{4} - 6 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 151^{2}\cdot 2311^{2}\cdot 24910163^{2}$ |
$4$ |
$30.0135021259$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$31745730.4838$ |
| 22.14.125...341.1 |
$x^{22} - 11 x^{21} + 34 x^{20} + 45 x^{19} - 419 x^{18} + 294 x^{17} + 2039 x^{16} - 2950 x^{15} - 5716 x^{14} + 11278 x^{13} + 10840 x^{12} - 25208 x^{11} - 15904 x^{10} + 35866 x^{9} + 19724 x^{8} - 31917 x^{7} - 19447 x^{6} + 15438 x^{5} + 12389 x^{4} - 1977 x^{3} - 3512 x^{2} - 887 x - 59$ |
$22$ |
[14,4] |
$113\cdot 29739173\cdot 610429790897^{2}$ |
$3$ |
$31.9477254937$ |
$45292002810.75995$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$17$ |
$443688211.731$ |
| 22.16.128...496.1 |
$x^{22} - 14 x^{20} + 84 x^{18} - 284 x^{16} + 596 x^{14} - 794 x^{12} + 632 x^{10} - 220 x^{8} - 53 x^{6} + 65 x^{4} - 15 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 17524013040643^{2}$ |
$2$ |
$31.9887068235$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$18$ |
$750154888.6$ |
| 22.12.128...496.1 |
$x^{22} - 8 x^{20} + 24 x^{18} - 28 x^{16} - 12 x^{14} + 66 x^{12} - 48 x^{10} - 28 x^{8} + 43 x^{6} - 3 x^{4} - 7 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 17524013040643^{2}$ |
$2$ |
$31.9887068235$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$309215215.365$ |
| 22.8.128...496.1 |
$x^{22} + 3 x^{20} - x^{18} - 7 x^{16} - 2 x^{14} - 4 x^{12} - 2 x^{10} + 16 x^{8} + 4 x^{6} - 9 x^{4} - x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 17524013040643^{2}$ |
$2$ |
$31.9887068235$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$149601967.313$ |
| 22.6.200...817.1 |
$x^{22} - 11 x^{21} + 63 x^{20} - 245 x^{19} + 714 x^{18} - 1638 x^{17} + 3034 x^{16} - 4586 x^{15} + 5635 x^{14} - 5481 x^{13} + 3863 x^{12} - 1247 x^{11} - 1359 x^{10} + 2985 x^{9} - 3236 x^{8} + 2436 x^{7} - 1301 x^{6} + 435 x^{5} - 37 x^{4} - 42 x^{3} + 18 x^{2} - x - 1$ |
$22$ |
[6,8] |
$37\cdot 131\cdot 431\cdot 31015897276291^{2}$ |
$4$ |
$32.6421033783$ |
$8049470623.358821$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
$[2]$ |
$2$ |
$13$ |
$46350378.7038$ |
| 22.18.101...661.1 |
$x^{22} - 11 x^{21} + 40 x^{20} - 15 x^{19} - 254 x^{18} + 519 x^{17} + 310 x^{16} - 1970 x^{15} + 1107 x^{14} + 2977 x^{13} - 3993 x^{12} - 1171 x^{11} + 5121 x^{10} - 1997 x^{9} - 2876 x^{8} + 2700 x^{7} + 340 x^{6} - 1207 x^{5} + 283 x^{4} + 173 x^{3} - 80 x^{2} + 3 x + 1$ |
$22$ |
[18,2] |
$3363181\cdot 55029067682009^{2}$ |
$2$ |
$35.1410882696$ |
$13604143298.12233$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$19$ |
$3109721457.4$ |
| 22.16.127...624.1 |
$x^{22} - 15 x^{20} + 91 x^{18} - 278 x^{16} + 410 x^{14} - 123 x^{12} - 404 x^{10} + 417 x^{8} - 19 x^{6} - 77 x^{4} - 3 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 55029067682009^{2}$ |
$2$ |
$35.495617601$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$18$ |
$2278524879.23$ |
| 22.12.127...624.1 |
$x^{22} - 7 x^{20} + 11 x^{18} + 20 x^{16} - 54 x^{14} - 17 x^{12} + 80 x^{10} + 11 x^{8} - 43 x^{6} - 9 x^{4} + 5 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 55029067682009^{2}$ |
$2$ |
$35.495617601$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$1027577506.18$ |
| 22.12.127...624.2 |
$x^{22} - 4 x^{20} - 4 x^{18} + 31 x^{16} - 8 x^{14} - 81 x^{12} + 48 x^{10} + 88 x^{8} - 60 x^{6} - 35 x^{4} + 22 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 55029067682009^{2}$ |
$2$ |
$35.495617601$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$16$ |
$879851069.403$ |
| 22.16.138...424.1 |
$x^{22} - 11 x^{20} + 43 x^{18} - 52 x^{16} - 96 x^{14} + 332 x^{12} - 229 x^{10} - 230 x^{8} + 408 x^{6} - 186 x^{4} + 20 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 233^{2}\cdot 246572816873^{2}$ |
$3$ |
$35.6349006082$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$18$ |
$2425829745.46$ |
| 22.8.138...424.1 |
$x^{22} + 11 x^{20} + 43 x^{18} + 62 x^{16} - 16 x^{14} - 116 x^{12} - 53 x^{10} + 56 x^{8} + 32 x^{6} - 10 x^{4} - 4 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 233^{2}\cdot 246572816873^{2}$ |
$3$ |
$35.6349006082$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$525272724.88$ |
| 22.20.158...999.1 |
$x^{22} - 11 x^{21} + 41 x^{20} - 25 x^{19} - 223 x^{18} + 525 x^{17} + 92 x^{16} - 1654 x^{15} + 1480 x^{14} + 1772 x^{13} - 3759 x^{12} + 506 x^{11} + 3901 x^{10} - 2800 x^{9} - 1867 x^{8} + 2565 x^{7} + 335 x^{6} - 1066 x^{5} - 4 x^{4} + 202 x^{3} + 3 x^{2} - 14 x - 1$ |
$22$ |
[20,1] |
$-\,79\cdot 1451^{2}\cdot 18521\cdot 71823490019^{2}$ |
$4$ |
$35.8589982125$ |
$12348457743.510412$ |
|
|
? |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$20$ |
$6449194007.94$ |
| 22.8.172...867.1 |
$x^{22} - 11 x^{21} + 62 x^{20} - 235 x^{19} + 656 x^{18} - 1401 x^{17} + 2307 x^{16} - 2850 x^{15} + 2370 x^{14} - 664 x^{13} - 1547 x^{12} + 2938 x^{11} - 2660 x^{10} + 1125 x^{9} + 394 x^{8} - 967 x^{7} + 681 x^{6} - 193 x^{5} - 53 x^{4} + 68 x^{3} - 22 x^{2} + x + 1$ |
$22$ |
[8,7] |
$-\,137^{2}\cdot 293^{2}\cdot 11093^{2}\cdot 216649^{2}\cdot 1849643$ |
$5$ |
$35.989529397$ |
$13357983455.871616$ |
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$14$ |
$418659910.553$ |
| 22.4.338...896.1 |
$x^{22} + 16 x^{20} + 105 x^{18} + 363 x^{16} + 700 x^{14} + 709 x^{12} + 248 x^{10} - 146 x^{8} - 135 x^{6} - 20 x^{4} + 5 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 2053^{2}\cdot 43747835269^{2}$ |
$3$ |
$37.112136067$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$226542958.357$ |
| 22.4.390...976.1 |
$x^{22} + 15 x^{20} + 91 x^{18} + 279 x^{16} + 417 x^{14} + 130 x^{12} - 453 x^{10} - 544 x^{8} - 66 x^{6} + 185 x^{4} + 75 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 137^{2}\cdot 293^{2}\cdot 11093^{2}\cdot 216649^{2}$ |
$5$ |
$37.3541218434$ |
|
|
|
✓ |
$C_2^{10}.(C_2\times S_{11})$ (as 22T53) |
trivial |
$2$ |
$12$ |
$311350306.426$ |
