| 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 |
| 22.2.107...089.1 |
$x^{22} - x^{21} + x^{20} - 11 x^{19} - 5 x^{18} + 22 x^{17} + 22 x^{16} + 62 x^{15} - 83 x^{14} - 148 x^{13} + 44 x^{12} + 72 x^{11} + 52 x^{10} + 25 x^{9} + 50 x^{8} - 75 x^{7} - 65 x^{6} + 60 x^{5} - 17 x^{3} + 17 x^{2} - 7 x + 1$ |
$22$ |
[2,10] |
$167^{10}\cdot 639361$ |
$2$ |
$18.8028300461$ |
$10333.116035349647$ |
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$11$ |
$116549.459796$ |
| 22.0.707...496.2 |
$x^{22} + 3 x^{20} + 4 x^{18} + 4 x^{16} + 11 x^{14} + 10 x^{12} + 4 x^{10} + 12 x^{8} + 7 x^{6} + 6 x^{4} + 4 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{10}$ |
$2$ |
$20.4812125382$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$10$ |
$290901.068764$ |
| 22.0.707...496.3 |
$x^{22} + x^{20} - 7 x^{18} - 6 x^{16} + 23 x^{14} + x^{12} - 24 x^{10} + 21 x^{8} - 17 x^{6} + 9 x^{4} - 2 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{10}$ |
$2$ |
$20.4812125382$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$10$ |
$200949.419629$ |
| 22.0.707...496.4 |
$x^{22} - 3 x^{20} + 11 x^{18} - 22 x^{16} + 45 x^{14} - 62 x^{12} + 67 x^{10} - 46 x^{8} + 12 x^{6} + 6 x^{4} - 5 x^{2} + 1$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{10}$ |
$2$ |
$20.481212538204982$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$10$ |
$324083.01609232236$ |
| 22.2.162...408.1 |
$x^{22} - 10 x^{20} + 45 x^{18} - 125 x^{16} + 250 x^{14} - 392 x^{12} + 498 x^{10} - 516 x^{8} + 428 x^{6} - 264 x^{4} + 107 x^{2} - 23$ |
$22$ |
[2,10] |
$2^{22}\cdot 23\cdot 167^{10}$ |
$3$ |
$23.6185039088$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$11$ |
$1255829.15878$ |
| 22.4.153...043.1 |
$x^{22} - 11 x^{21} + 72 x^{20} - 335 x^{19} + 1211 x^{18} - 3546 x^{17} + 8610 x^{16} - 17574 x^{15} + 30322 x^{14} - 44228 x^{13} + 54150 x^{12} - 54734 x^{11} + 44075 x^{10} - 25887 x^{9} + 7693 x^{8} + 4031 x^{7} - 7645 x^{6} + 6006 x^{5} - 3064 x^{4} + 1060 x^{3} - 235 x^{2} + 28 x - 1$ |
$22$ |
[4,9] |
$-\,151\cdot 757\cdot 1297^{10}$ |
$3$ |
$44.1453655736$ |
$12176.049400359709$ |
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$12$ |
$1728453729.71$ |
| 22.18.154...049.1 |
$x^{22} - 11 x^{21} + 39 x^{20} - 5 x^{19} - 289 x^{18} + 549 x^{17} + 438 x^{16} - 2382 x^{15} + 1432 x^{14} + 3832 x^{13} - 6324 x^{12} - 692 x^{11} + 9779 x^{10} - 5877 x^{9} - 7100 x^{8} + 8177 x^{7} + 1805 x^{6} - 4599 x^{5} + 512 x^{4} + 1102 x^{3} - 307 x^{2} - 80 x + 29$ |
$22$ |
[18,2] |
$1297^{10}\cdot 115001$ |
$2$ |
$44.1575132655$ |
$12212.956112260455$ |
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$19$ |
$71513086940.5$ |
| 22.8.565...896.1 |
$x^{22} + 16 x^{20} + 62 x^{18} - 216 x^{16} - 1948 x^{14} - 3000 x^{12} + 4363 x^{10} + 9892 x^{8} - 2285 x^{6} - 747 x^{4} + 4 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$29044854880.9$ |
| 22.12.565...896.1 |
$x^{22} - 5 x^{20} - 34 x^{18} + 42 x^{16} + 227 x^{14} - 96 x^{12} - 468 x^{10} + 59 x^{8} + 226 x^{6} - 53 x^{4} - 9 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$114972984549$ |
| 22.16.565...896.1 |
$x^{22} - 17 x^{20} + 76 x^{18} + 4 x^{16} - 654 x^{14} + 958 x^{12} + 990 x^{10} - 2740 x^{8} + 855 x^{6} + 1065 x^{4} - 556 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$18$ |
$196538278464$ |
| 22.20.565...896.1 |
$x^{22} - 25 x^{20} + 250 x^{18} - 1243 x^{16} + 2879 x^{14} - 334 x^{12} - 14126 x^{10} + 33691 x^{8} - 35857 x^{6} + 18585 x^{4} - 4105 x^{2} + 289$ |
$22$ |
[20,1] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$20$ |
$624846806003$ |
| 22.4.565...896.1 |
$x^{22} + 14 x^{20} + 48 x^{18} - 43 x^{16} - 492 x^{14} - 675 x^{12} + 603 x^{10} + 2355 x^{8} + 2294 x^{6} + 937 x^{4} + 136 x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$12$ |
$14806795493.8$ |
| 22.12.565...896.2 |
$x^{22} + 12 x^{20} - 9 x^{18} - 292 x^{16} + 315 x^{14} + 1323 x^{12} - 1408 x^{10} - 1431 x^{8} + 1122 x^{6} - 19 x^{4} - 30 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$101130452861$ |
| 22.16.565...896.2 |
$x^{22} - 17 x^{20} + 74 x^{18} + 62 x^{16} - 919 x^{14} + 1316 x^{12} + 196 x^{10} - 1389 x^{8} + 887 x^{6} - 194 x^{4} + 7 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$18$ |
$239801436281$ |
| 22.20.565...896.2 |
$x^{22} - 28 x^{20} + 296 x^{18} - 1503 x^{16} + 3716 x^{14} - 3348 x^{12} - 2647 x^{10} + 7446 x^{8} - 5457 x^{6} + 1686 x^{4} - 192 x^{2} + 1$ |
$22$ |
[20,1] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$20$ |
$442787807470$ |
| 22.8.565...896.2 |
$x^{22} + 16 x^{20} + 46 x^{18} - 346 x^{16} - 2536 x^{14} - 5981 x^{12} - 4843 x^{10} + 1475 x^{8} + 2688 x^{6} - 302 x^{4} - 144 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$34544260341.0$ |
| 22.12.565...896.3 |
$x^{22} + 9 x^{20} - 15 x^{18} - 204 x^{16} + 41 x^{14} + 1197 x^{12} + 373 x^{10} - 1423 x^{8} - 275 x^{6} + 468 x^{4} - 52 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$91159108827.8$ |
| 22.16.565...896.3 |
$x^{22} - 17 x^{20} + 56 x^{18} + 103 x^{16} - 578 x^{14} + 31 x^{12} + 1647 x^{10} - 963 x^{8} - 1208 x^{6} + 1034 x^{4} - 112 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$18$ |
$278020997097$ |
| 22.8.565...896.3 |
$x^{22} + 9 x^{20} - 34 x^{18} - 335 x^{16} + 207 x^{14} + 3414 x^{12} + 981 x^{10} - 8064 x^{8} + 51 x^{6} + 3070 x^{4} + 710 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$40384558136.4$ |
| 22.12.565...896.4 |
$x^{22} + x^{20} - 41 x^{18} + 29 x^{16} + 336 x^{14} - 382 x^{12} - 647 x^{10} + 1003 x^{8} - 70 x^{6} - 340 x^{4} + 108 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$89523985427.3$ |
| 22.16.565...896.4 |
$x^{22} - 14 x^{20} + 39 x^{18} + 167 x^{16} - 805 x^{14} - 22 x^{12} + 3282 x^{10} - 2173 x^{8} - 3246 x^{6} + 3447 x^{4} - 852 x^{2} + 25$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$18$ |
$146702035559$ |
| 22.8.565...896.4 |
$x^{22} + 9 x^{20} - 9 x^{18} - 259 x^{16} - 351 x^{14} + 1960 x^{12} + 4198 x^{10} - 1414 x^{8} - 4092 x^{6} - 774 x^{4} + 197 x^{2} + 25$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$26006566433.6$ |
| 22.16.565...896.5 |
$x^{22} - 3 x^{20} - 47 x^{18} + 206 x^{16} + 339 x^{14} - 2659 x^{12} + 2037 x^{10} + 6243 x^{8} - 9656 x^{6} + 3512 x^{4} - 381 x^{2} + 1$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.999924379508414$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$18$ |
$240322279806.1655$ |
| 22.12.565...896.5 |
$x^{22} - 9 x^{20} + 12 x^{18} + 72 x^{16} - 184 x^{14} - 61 x^{12} + 443 x^{10} - 126 x^{8} - 340 x^{6} + 120 x^{4} + 76 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$113614913668$ |
| 22.8.565...896.5 |
$x^{22} - 7 x^{20} - 72 x^{18} - 36 x^{16} + 711 x^{14} + 1469 x^{12} - 353 x^{10} - 3136 x^{8} - 2011 x^{6} + 858 x^{4} + 1172 x^{2} + 289$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$43490276888.5$ |
| 22.8.565...896.6 |
$x^{22} + 6 x^{20} - 87 x^{18} - 904 x^{16} - 2836 x^{14} - 3349 x^{12} - 591 x^{10} + 1601 x^{8} + 959 x^{6} + 43 x^{4} - 47 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$39083872328.2$ |
| 22.12.565...896.6 |
$x^{22} + 2 x^{20} - 56 x^{18} - 245 x^{16} + 126 x^{14} + 1903 x^{12} + 1997 x^{10} - 1141 x^{8} - 1026 x^{6} + 464 x^{4} - 41 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$123741571050$ |
| 22.8.565...896.7 |
$x^{22} + x^{20} - 89 x^{18} + 172 x^{16} + 1434 x^{14} - 3373 x^{12} - 5614 x^{10} + 7890 x^{8} + 12675 x^{6} + 3940 x^{4} + 219 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$33967070400.7$ |
| 22.12.565...896.7 |
$x^{22} - 17 x^{20} + 86 x^{18} - 77 x^{16} - 371 x^{14} + 333 x^{12} + 807 x^{10} + 186 x^{8} - 158 x^{6} - 64 x^{4} - 2 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$72175825593.1$ |
| 22.12.565...896.8 |
$x^{22} - 16 x^{20} + 66 x^{18} + 76 x^{16} - 768 x^{14} + 416 x^{12} + 1381 x^{10} - 644 x^{8} - 483 x^{6} - 19 x^{4} + 14 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$96919671959.2$ |
| 22.8.565...896.8 |
$x^{22} + 4 x^{20} - 67 x^{18} - 65 x^{16} + 801 x^{14} + 697 x^{12} - 3324 x^{10} - 3913 x^{8} + 3601 x^{6} + 7419 x^{4} + 3784 x^{2} + 625$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$46640307074.3$ |
| 22.8.565...896.9 |
$x^{22} + 8 x^{20} - 58 x^{18} - 428 x^{16} + 1165 x^{14} + 6751 x^{12} - 4689 x^{10} - 33802 x^{8} - 37548 x^{6} - 16383 x^{4} - 2545 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.999924379508414$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$14$ |
$44156910311.00117$ |
| 22.12.565...896.9 |
$x^{22} - 2 x^{20} - 73 x^{18} + 332 x^{16} - 46 x^{14} - 1522 x^{12} + 1480 x^{10} + 1528 x^{8} - 1814 x^{6} - 620 x^{4} + 584 x^{2} + 121$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$128912831300$ |
| 22.12.565...896.10 |
$x^{22} - 6 x^{20} - 17 x^{18} + 153 x^{16} - 125 x^{14} - 483 x^{12} + 423 x^{10} + 426 x^{8} - 132 x^{6} - 53 x^{4} + 9 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$71299418072.8$ |
| 22.12.565...896.11 |
$x^{22} - 7 x^{20} - 6 x^{18} + 95 x^{16} - 21 x^{14} - 397 x^{12} + 82 x^{10} + 581 x^{8} + 43 x^{6} - 160 x^{4} - 27 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$98774417571.6$ |
| 22.12.565...896.12 |
$x^{22} - 19 x^{20} + 30 x^{18} + 427 x^{16} - 1235 x^{14} - 833 x^{12} + 3553 x^{10} + 222 x^{8} - 2608 x^{6} + 298 x^{4} + 42 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$81076181658.2$ |
| 22.12.565...896.13 |
$x^{22} + 3 x^{20} - 76 x^{18} - 55 x^{16} + 1416 x^{14} + 199 x^{12} - 6272 x^{10} - 4720 x^{8} + 1682 x^{6} + 813 x^{4} - 217 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 1297^{10}$ |
$2$ |
$51.999924379508414$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$16$ |
$146878545725.37076$ |
| 22.14.282...480.1 |
$x^{22} - 5 x^{20} - 4 x^{18} + 54 x^{16} - 53 x^{14} - 127 x^{12} + 208 x^{10} + 69 x^{8} - 222 x^{6} + 29 x^{4} + 56 x^{2} - 5$ |
$22$ |
[14,4] |
$2^{22}\cdot 5\cdot 1297^{10}$ |
$3$ |
$55.9466486019$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$17$ |
$304664234438$ |
| 22.6.163...984.1 |
$x^{22} + 16 x^{20} + 101 x^{18} + 300 x^{16} + 301 x^{14} - 580 x^{12} - 1949 x^{10} - 1883 x^{8} - 328 x^{6} + 387 x^{4} + 80 x^{2} - 29$ |
$22$ |
[6,8] |
$2^{22}\cdot 29\cdot 1297^{10}$ |
$3$ |
$60.6003801224$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$13$ |
$162426572365$ |
| 22.18.200...553.1 |
$x^{22} - 5 x^{21} - 19 x^{20} + 138 x^{19} - 234 x^{18} - 576 x^{17} + 8567 x^{16} - 17893 x^{15} - 75853 x^{14} + 255414 x^{13} + 209204 x^{12} - 1338618 x^{11} + 411447 x^{10} + 2870120 x^{9} - 2750667 x^{8} - 1555277 x^{7} + 2988765 x^{6} - 574462 x^{5} - 751638 x^{4} + 329506 x^{3} + 6664 x^{2} - 14874 x + 289$ |
$22$ |
[18,2] |
$1297^{11}\cdot 115001$ |
$2$ |
$61.1648450288$ |
$12212.956112260455$ |
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
$[2]$ |
$2$ |
$19$ |
$1094818736770$ |
| 22.10.706...000.1 |
$x^{22} - x^{20} - 143 x^{18} + 101 x^{16} + 5979 x^{14} - 2898 x^{12} - 68016 x^{10} + 70946 x^{8} + 77468 x^{6} + 10420 x^{4} - 775 x^{2} - 125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{3}\cdot 1297^{10}$ |
$3$ |
$64.7614857262$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$764607694072$ |
| 22.14.706...000.1 |
$x^{22} - 12 x^{20} - 29 x^{18} + 759 x^{16} - 1847 x^{14} - 5157 x^{12} + 22844 x^{10} - 17301 x^{8} - 12609 x^{6} + 12000 x^{4} - 1775 x^{2} - 125$ |
$22$ |
[14,4] |
$2^{22}\cdot 5^{3}\cdot 1297^{10}$ |
$3$ |
$64.7614857262$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$17$ |
$1257457670420$ |
| 22.10.706...000.2 |
$x^{22} - x^{20} - 95 x^{18} - 245 x^{16} + 1309 x^{14} + 5175 x^{12} - 515 x^{10} - 17702 x^{8} - 12109 x^{6} + 5200 x^{4} + 250 x^{2} - 125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{3}\cdot 1297^{10}$ |
$3$ |
$64.7614857262$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$532799858101$ |
| 22.10.706...000.3 |
$x^{22} - 3 x^{20} - 75 x^{18} + 197 x^{16} + 1892 x^{14} - 3669 x^{12} - 19581 x^{10} + 18944 x^{8} + 69583 x^{6} + 8985 x^{4} - 1300 x^{2} - 125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{3}\cdot 1297^{10}$ |
$3$ |
$64.7614857262$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$548258985272$ |
| 22.10.706...000.4 |
$x^{22} + 7 x^{20} - 33 x^{18} - 240 x^{16} + 448 x^{14} + 2512 x^{12} - 3317 x^{10} - 6568 x^{8} + 6624 x^{6} + 2235 x^{4} - 675 x^{2} - 125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{3}\cdot 1297^{10}$ |
$3$ |
$64.7614857262$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$789096194166$ |
| 22.2.263...432.1 |
$x^{22} + 28 x^{20} + 341 x^{18} + 2376 x^{16} + 10477 x^{14} + 30512 x^{12} + 59347 x^{10} + 75927 x^{8} + 60744 x^{6} + 26813 x^{4} + 4280 x^{2} - 467$ |
$22$ |
[2,10] |
$2^{22}\cdot 467\cdot 1297^{10}$ |
$3$ |
$68.7599096801$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$11$ |
$169755851528$ |
| 22.10.176...000.1 |
$x^{22} + 22 x^{20} - 125 x^{18} - 3424 x^{16} - 15641 x^{14} - 11801 x^{12} + 53721 x^{10} + 67470 x^{8} - 67150 x^{6} - 62500 x^{4} + 49375 x^{2} - 3125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{5}\cdot 1297^{10}$ |
$3$ |
$74.9651701804$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$3071769112460$ |
| 22.14.176...000.1 |
$x^{22} - 43 x^{20} + 447 x^{18} + 746 x^{16} - 22193 x^{14} + 39852 x^{12} + 120052 x^{10} - 99825 x^{8} - 76100 x^{6} + 38750 x^{4} + 10625 x^{2} - 3125$ |
$22$ |
[14,4] |
$2^{22}\cdot 5^{5}\cdot 1297^{10}$ |
$3$ |
$74.9651701804$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$17$ |
$10392769608400$ |
| 22.6.176...000.1 |
$x^{22} + 40 x^{20} + 510 x^{18} + 878 x^{16} - 29393 x^{14} - 208069 x^{12} - 262302 x^{10} + 1411560 x^{8} + 3529300 x^{6} - 1343500 x^{4} - 7430625 x^{2} - 3003125$ |
$22$ |
[6,8] |
$2^{22}\cdot 5^{5}\cdot 1297^{10}$ |
$3$ |
$74.9651701804$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$13$ |
$1476355728510$ |
| 22.10.176...000.2 |
$x^{22} - 19 x^{20} - 147 x^{18} + 2747 x^{16} + 11007 x^{14} - 95394 x^{12} - 336467 x^{10} + 923410 x^{8} + 2888250 x^{6} - 1883125 x^{4} - 2819375 x^{2} - 378125$ |
$22$ |
[10,6] |
$2^{22}\cdot 5^{5}\cdot 1297^{10}$ |
$3$ |
$74.9651701804$ |
|
|
|
? |
$C_2^{10}.D_{22}$ (as 22T32) |
trivial |
$2$ |
$15$ |
$3266314502400$ |
