| 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 |
| 22.0.118...832.1 |
$x^{22} + 9 x^{20} + 37 x^{18} + 74 x^{16} + 22 x^{14} - 217 x^{12} - 442 x^{10} - 261 x^{8} + 291 x^{6} + 663 x^{4} + 501 x^{2} + 167$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{11}$ |
$2$ |
$25.8456959666$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$10$ |
$2715893.41308$ |
| 22.0.118...832.2 |
$x^{22} - 6 x^{20} + 19 x^{18} - 15 x^{16} - 90 x^{14} + 259 x^{12} - 217 x^{10} + 142 x^{8} - 495 x^{6} + 761 x^{4} - 501 x^{2} + 167$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{11}$ |
$2$ |
$25.8456959666$ |
|
|
|
|
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$10$ |
$3187515.86093$ |
| 22.0.118...832.3 |
$x^{22} - 9 x^{20} + 30 x^{18} - 35 x^{16} - 36 x^{14} + 140 x^{12} - 130 x^{10} + 98 x^{8} - 330 x^{6} + 636 x^{4} - 531 x^{2} + 167$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{11}$ |
$2$ |
$25.84569596664017$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$10$ |
$1380820.0993235877$ |
| 22.0.118...832.4 |
$x^{22} - 10 x^{20} + 53 x^{18} - 164 x^{16} + 331 x^{14} - 402 x^{12} + 191 x^{10} + 310 x^{8} - 747 x^{6} + 812 x^{4} - 501 x^{2} + 167$ |
$22$ |
[0,11] |
$-\,2^{22}\cdot 167^{11}$ |
$2$ |
$25.84569596664017$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$10$ |
$3260196.2888900195$ |
| 22.10.174...553.1 |
$x^{22} - 2 x^{21} - 2 x^{20} + 24 x^{19} - 83 x^{18} - 30 x^{17} + 161 x^{16} + 292 x^{15} + 431 x^{14} - 4032 x^{13} + 7422 x^{12} - 3707 x^{11} - 11808 x^{10} + 25440 x^{9} - 18429 x^{8} + 765 x^{7} + 7197 x^{6} - 4873 x^{5} + 1431 x^{4} - 165 x^{3} - 15 x^{2} + 8 x - 1$ |
$22$ |
[10,6] |
$1297^{11}$ |
$1$ |
$36.0138862107$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$1351543404.27$ |
| 22.14.174...553.1 |
$x^{22} - 8 x^{21} + 12 x^{20} + 43 x^{19} - 133 x^{18} + 143 x^{17} - 51 x^{16} - 1197 x^{15} + 2298 x^{14} + 2198 x^{13} - 4854 x^{12} - 1488 x^{11} + 3269 x^{10} - 955 x^{9} - 610 x^{8} + 2045 x^{7} + 101 x^{6} - 1059 x^{5} - 151 x^{4} + 211 x^{3} + 62 x^{2} - x - 1$ |
$22$ |
[14,4] |
$1297^{11}$ |
$1$ |
$36.0138862107$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$17$ |
$3506878349.71$ |
| 22.10.174...553.2 |
$x^{22} - 4 x^{21} - 12 x^{20} + 79 x^{19} - 46 x^{18} - 417 x^{17} + 999 x^{16} - 364 x^{15} - 2461 x^{14} + 6453 x^{13} - 7803 x^{12} + 1855 x^{11} + 10460 x^{10} - 21218 x^{9} + 23963 x^{8} - 17867 x^{7} + 7632 x^{6} - 1285 x^{5} - 15 x^{4} + 157 x^{3} - 73 x^{2} - 10 x + 1$ |
$22$ |
[10,6] |
$1297^{11}$ |
$1$ |
$36.0138862107$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$652104039.092$ |
| 22.14.174...553.2 |
$x^{22} - x^{21} - 14 x^{20} + 62 x^{18} + 129 x^{17} - 52 x^{16} - 983 x^{15} + 160 x^{14} + 2384 x^{13} - 603 x^{12} - 2192 x^{11} - 1350 x^{10} + 4200 x^{9} + 91 x^{8} - 3234 x^{7} + 1064 x^{6} + 775 x^{5} - 416 x^{4} - 33 x^{3} + 39 x^{2} - x - 1$ |
$22$ |
[14,4] |
$1297^{11}$ |
$1$ |
$36.0138862107$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$17$ |
$1793681479.85$ |
| 22.14.174...553.3 |
$x^{22} - x^{21} - 26 x^{20} + 49 x^{19} + 237 x^{18} - 701 x^{17} - 634 x^{16} + 4156 x^{15} - 2565 x^{14} - 9376 x^{13} + 16978 x^{12} - 1217 x^{11} - 24957 x^{10} + 25854 x^{9} + 3793 x^{8} - 25081 x^{7} + 13524 x^{6} + 5616 x^{5} - 7257 x^{4} + 961 x^{3} + 908 x^{2} - 278 x + 11$ |
$22$ |
[14,4] |
$1297^{11}$ |
$1$ |
$36.0138862107$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$17$ |
$3382573146.33$ |
| 22.10.429...609.1 |
$x^{22} - 8 x^{21} - 5 x^{20} + 179 x^{19} - 137 x^{18} - 2169 x^{17} + 1761 x^{16} + 18883 x^{15} - 4278 x^{14} - 98036 x^{13} - 50230 x^{12} + 300890 x^{11} + 273099 x^{10} - 507315 x^{9} - 680178 x^{8} + 245730 x^{7} + 848289 x^{6} + 558904 x^{5} + 116201 x^{4} - 37579 x^{3} - 28495 x^{2} - 7129 x - 721$ |
$22$ |
[10,6] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$821407828511$ |
| 22.14.429...609.1 |
$x^{22} - 9 x^{21} - 5 x^{20} + 230 x^{19} - 343 x^{18} - 2094 x^{17} + 5295 x^{16} + 8119 x^{15} - 33602 x^{14} - 6253 x^{13} + 119287 x^{12} - 91272 x^{11} - 182743 x^{10} + 403919 x^{9} - 287584 x^{8} - 116709 x^{7} + 557374 x^{6} - 666253 x^{5} + 340515 x^{4} + 15415 x^{3} - 98010 x^{2} + 39788 x - 5047$ |
$22$ |
[14,4] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$17$ |
$1094458840240$ |
| 22.18.429...609.1 |
$x^{22} - 5 x^{21} - 49 x^{20} + 149 x^{19} + 1117 x^{18} - 1000 x^{17} - 12006 x^{16} - 3533 x^{15} + 64273 x^{14} + 63958 x^{13} - 171145 x^{12} - 263217 x^{11} + 207316 x^{10} + 471355 x^{9} - 84325 x^{8} - 394692 x^{7} + 1221 x^{6} + 166543 x^{5} + 881 x^{4} - 34179 x^{3} + 1826 x^{2} + 2665 x - 347$ |
$22$ |
[18,2] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$19$ |
$3627901913190$ |
| 22.6.429...609.1 |
$x^{22} - 7 x^{21} + 19 x^{20} - 278 x^{18} + 1133 x^{17} - 2011 x^{16} + 888 x^{15} + 8287 x^{14} - 39621 x^{13} + 120190 x^{12} - 205304 x^{11} + 49905 x^{10} + 471482 x^{9} - 1443152 x^{8} + 2814323 x^{7} - 4045900 x^{6} + 3758973 x^{5} - 1667602 x^{4} + 1178692 x^{3} + 478694 x^{2} - 640688 x + 244927$ |
$22$ |
[6,8] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$13$ |
$252394156565$ |
| 22.14.429...609.2 |
$x^{22} - 6 x^{21} - 17 x^{20} + 128 x^{19} + 36 x^{18} - 939 x^{17} + 1324 x^{16} + 1351 x^{15} - 14113 x^{14} + 19961 x^{13} + 63677 x^{12} - 139022 x^{11} - 153919 x^{10} + 426871 x^{9} + 228955 x^{8} - 682443 x^{7} - 246758 x^{6} + 494621 x^{5} + 166486 x^{4} - 90530 x^{3} - 15247 x^{2} + 1575 x + 49$ |
$22$ |
[14,4] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$17$ |
$1259441074740$ |
| 22.6.429...609.2 |
$x^{22} - 4 x^{21} - 27 x^{20} + 143 x^{19} - 1474 x^{17} + 5043 x^{16} - 4253 x^{15} - 22763 x^{14} + 75962 x^{13} - 70679 x^{12} - 119358 x^{11} + 468438 x^{10} - 582606 x^{9} + 180283 x^{8} + 170530 x^{7} - 66816 x^{6} - 13600 x^{5} - 27878 x^{4} + 5391 x^{3} - 1956 x^{2} - 665 x + 19$ |
$22$ |
[6,8] |
$19^{11}\cdot 211^{11}$ |
$2$ |
$63.3166644731$ |
$503.8219009458458$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$13$ |
$172393462364$ |
| 22.10.293...577.1 |
$x^{22} - 7 x^{21} + 20 x^{20} - 37 x^{19} - 6 x^{18} - 96 x^{17} - 601 x^{16} + 4887 x^{15} - 10409 x^{14} + 17140 x^{13} + 61830 x^{12} - 229061 x^{11} + 473100 x^{10} - 93708 x^{9} - 2265797 x^{8} + 4028576 x^{7} - 8303052 x^{6} + 265807 x^{5} + 2580052 x^{4} - 854179 x^{3} + 69971 x^{2} + 4729 x - 635$ |
$22$ |
[10,6] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$2022071533720$ |
| 22.6.293...577.1 |
$x^{22} - 2 x^{21} - 6 x^{20} - 12 x^{19} - 51 x^{18} - 1294 x^{17} - 4139 x^{16} + 11844 x^{15} + 45982 x^{14} + 14721 x^{13} + 173096 x^{12} + 635309 x^{11} - 626140 x^{10} - 2954875 x^{9} + 1702700 x^{8} + 10537521 x^{7} + 4899648 x^{6} - 12306030 x^{5} - 9650007 x^{4} + 20971742 x^{3} + 32748639 x^{2} + 9514395 x - 381517$ |
$22$ |
[6,8] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2, 2]$ |
$2$ |
$13$ |
$99230298736.2$ |
| 22.10.293...577.2 |
$x^{22} - 4 x^{21} - 25 x^{20} + 187 x^{19} - 427 x^{18} - 1387 x^{17} + 11048 x^{16} - 19578 x^{15} - 51688 x^{14} + 291735 x^{13} - 208406 x^{12} - 1486531 x^{11} + 3652116 x^{10} + 922479 x^{9} - 15631207 x^{8} + 22761255 x^{7} - 1886833 x^{6} - 28646815 x^{5} + 31917632 x^{4} - 11208552 x^{3} - 2785752 x^{2} + 2849336 x - 485809$ |
$22$ |
[10,6] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$558986762171$ |
| 22.6.293...577.2 |
$x^{22} - 4 x^{21} - 15 x^{20} + 186 x^{19} - 340 x^{18} - 190 x^{17} + 1474 x^{16} - 16339 x^{15} + 54779 x^{14} - 48760 x^{13} - 60506 x^{12} + 162742 x^{11} - 382113 x^{10} + 377976 x^{9} + 812112 x^{8} - 662419 x^{7} + 800005 x^{6} + 1654250 x^{5} - 632588 x^{4} - 210361 x^{3} + 534728 x^{2} + 1099550 x + 328525$ |
$22$ |
[6,8] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$13$ |
$503003893922$ |
| 22.10.293...577.3 |
$x^{22} - 2 x^{21} - 5 x^{20} + 63 x^{19} - 277 x^{18} - 763 x^{17} + 1430 x^{16} - 4519 x^{15} - 12215 x^{14} + 55828 x^{13} + 211576 x^{12} + 329486 x^{11} + 565827 x^{10} + 1673022 x^{9} + 1315125 x^{8} - 4385689 x^{7} - 9574393 x^{6} - 2442233 x^{5} + 9228793 x^{4} + 6912958 x^{3} - 1578970 x^{2} - 2159051 x - 187717$ |
$22$ |
[10,6] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$1657086006910$ |
| 22.10.293...577.4 |
$x^{22} - 2 x^{21} - x^{20} - 27 x^{19} - 123 x^{18} + 557 x^{17} - 15 x^{16} + 3931 x^{15} - 14708 x^{14} + 14397 x^{13} - 67597 x^{12} + 333066 x^{11} - 708951 x^{10} + 533647 x^{9} - 501187 x^{8} + 1877976 x^{7} + 4952836 x^{6} - 26543542 x^{5} + 33271030 x^{4} - 4722738 x^{3} - 22835725 x^{2} + 20238011 x - 5825245$ |
$22$ |
[10,6] |
$1297^{13}$ |
$1$ |
$69.097849513$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$15$ |
$2350696563630$ |
| 22.14.732...112.1 |
$x^{22} + 6 x^{20} - 128 x^{18} - 67 x^{16} + 5045 x^{14} - 14909 x^{12} - 18753 x^{10} + 142110 x^{8} - 181519 x^{6} - 9369 x^{4} + 98505 x^{2} - 1297$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$4721944750210$ |
| 22.18.732...112.1 |
$x^{22} - 48 x^{20} + 668 x^{18} - 3452 x^{16} + 1836 x^{14} + 41707 x^{12} - 117661 x^{10} + 18659 x^{8} + 239887 x^{6} - 220532 x^{4} + 55347 x^{2} - 1297$ |
$22$ |
[18,2] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$19$ |
$7541989503400$ |
| 22.2.732...112.1 |
$x^{22} + 42 x^{20} + 682 x^{18} + 5751 x^{16} + 27661 x^{14} + 76030 x^{12} + 104221 x^{10} + 9257 x^{8} - 183787 x^{6} - 260704 x^{4} - 150852 x^{2} - 32425$ |
$22$ |
[2,10] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$11$ |
$173639732547$ |
| 22.10.732...112.1 |
$x^{22} + 17 x^{20} - 16 x^{18} - 1089 x^{16} - 1819 x^{14} + 10241 x^{12} + 27179 x^{10} - 263 x^{8} - 38576 x^{6} - 10325 x^{4} + 12922 x^{2} - 1297$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$821631404970$ |
| 22.10.732...112.2 |
$x^{22} - 201 x^{18} + 110 x^{16} + 3992 x^{14} - 857 x^{12} - 16194 x^{10} - 624 x^{8} + 15461 x^{6} + 3758 x^{4} - 3752 x^{2} - 1297$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$889794504043$ |
| 22.14.732...112.2 |
$x^{22} - x^{20} - 353 x^{18} - 1722 x^{16} + 5661 x^{14} + 15526 x^{12} - 37578 x^{10} - 11324 x^{8} + 62186 x^{6} - 45444 x^{4} + 12972 x^{2} - 1297$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$2305988380300$ |
| 22.2.732...112.2 |
$x^{22} + 63 x^{20} + 1659 x^{18} + 23877 x^{16} + 206080 x^{14} + 1097796 x^{12} + 3551233 x^{10} + 6433703 x^{8} + 4872652 x^{6} - 1515055 x^{4} - 3671807 x^{2} - 1090777$ |
$22$ |
[2,10] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[3]$ |
$2$ |
$11$ |
$111448113188$ |
| 22.14.732...112.3 |
$x^{22} - 31 x^{20} + 150 x^{18} + 1799 x^{16} - 7047 x^{14} - 30271 x^{12} + 46860 x^{10} + 53483 x^{8} - 89614 x^{6} + 29753 x^{4} + 1393 x^{2} - 1297$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$2730598041630$ |
| 22.10.732...112.3 |
$x^{22} - 11 x^{20} - 82 x^{18} + 1254 x^{16} - 1266 x^{14} - 19635 x^{12} + 12421 x^{10} + 127961 x^{8} + 135714 x^{6} + 24994 x^{4} - 12375 x^{2} - 1297$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$968114296620$ |
| 22.10.732...112.4 |
$x^{22} + 19 x^{20} - 204 x^{18} - 1314 x^{16} + 11139 x^{14} + 10593 x^{12} - 133681 x^{10} + 103014 x^{8} + 141613 x^{6} - 2116 x^{4} - 12142 x^{2} - 1297$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$1444627808590$ |
| 22.14.732...112.4 |
$x^{22} + x^{20} - 378 x^{18} + 1147 x^{16} + 37339 x^{14} - 230456 x^{12} - 72697 x^{10} + 2013518 x^{8} - 1551689 x^{6} - 3871534 x^{4} + 5443562 x^{2} - 1775593$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.02777242147643$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$2808587093005.0327$ |
| 22.10.732...112.5 |
$x^{22} + 11 x^{20} - 283 x^{18} - 955 x^{16} + 16593 x^{14} + 43210 x^{12} - 272219 x^{10} - 862533 x^{8} - 376478 x^{6} + 667131 x^{4} + 455494 x^{2} - 1297$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.0277724215$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$822316783790$ |
| 22.14.732...112.5 |
$x^{22} - 29 x^{20} + 214 x^{18} + 716 x^{16} - 13579 x^{14} + 30773 x^{12} + 123125 x^{10} - 427856 x^{8} - 301138 x^{6} + 1492100 x^{4} - 68291 x^{2} - 1090777$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.02777242147643$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$3803519864502.24$ |
| 22.10.732...112.6 |
$x^{22} - 7 x^{20} - 235 x^{18} + 1167 x^{16} + 16101 x^{14} - 41766 x^{12} - 425073 x^{10} + 66299 x^{8} + 3195170 x^{6} + 3421515 x^{4} - 2767488 x^{2} - 3923425$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.02777242147643$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$15$ |
$1481352224995.8555$ |
| 22.14.732...112.6 |
$x^{22} - 4 x^{20} - 124 x^{18} + 672 x^{16} + 3809 x^{14} - 29629 x^{12} + 8323 x^{10} + 287800 x^{8} - 547472 x^{6} - 276056 x^{4} + 1362650 x^{2} - 810625$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{11}$ |
$2$ |
$72.02777242147643$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$17$ |
$3137539589825.9893$ |
| 22.22.180...136.1 |
$x^{22} - 40 x^{20} + 653 x^{18} - 5754 x^{16} + 30641 x^{14} - 103997 x^{12} + 229463 x^{10} - 327203 x^{8} + 291804 x^{6} - 151698 x^{4} + 40090 x^{2} - 4009$ |
$22$ |
[22,0] |
$2^{22}\cdot 19^{11}\cdot 211^{11}$ |
$3$ |
$126.633328946$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$21$ |
$17465175126100000$ |
| 22.22.176...824.1 |
$x^{22} - 89 x^{20} + 3150 x^{18} - 57580 x^{16} + 598262 x^{14} - 3693531 x^{12} + 13804717 x^{10} - 31161425 x^{8} + 41221734 x^{6} - 29534937 x^{4} + 9303930 x^{2} - 492561$ |
$22$ |
[22,0] |
$2^{22}\cdot 3^{11}\cdot 2027^{11}$ |
$3$ |
$155.961533719$ |
|
|
|
|
$C_2^{10}.D_{11}$ (as 22T29) |
trivial |
$2$ |
$21$ |
$498156214952000000$ |
| 22.22.220...152.1 |
$x^{22} - 315 x^{20} + 40819 x^{18} - 2841063 x^{16} + 116027253 x^{14} - 2856992667 x^{12} + 42369456772 x^{10} - 374329055764 x^{8} + 1918247450989 x^{6} - 5402270337321 x^{4} + 7468838272760 x^{2} - 3910737643537$ |
$22$ |
[22,0] |
$2^{22}\cdot 43^{2}\cdot 1277^{2}\cdot 1297^{11}$ |
$4$ |
$194.25763929459316$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T29) |
$[2]$ |
$2$ |
$21$ |
$929388455886304600$ |
