| 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 |
| 22.14.185...281.1 |
$x^{22} - 3 x^{21} - 14 x^{20} + 42 x^{19} + 81 x^{18} - 220 x^{17} - 283 x^{16} + 596 x^{15} + 627 x^{14} - 1145 x^{13} - 429 x^{12} + 1655 x^{11} - 1009 x^{10} - 1021 x^{9} + 1683 x^{8} - 196 x^{7} - 608 x^{6} + 283 x^{5} - 44 x^{4} - 6 x^{3} + 18 x^{2} - 8 x + 1$ |
$22$ |
[14,4] |
$23^{21}\cdot 47$ |
$2$ |
$23.7594052054$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$16297198.7643$ |
| 22.14.379...009.1 |
$x^{22} - x^{21} - 16 x^{20} + 27 x^{19} + 68 x^{18} - 193 x^{17} + 15 x^{16} + 436 x^{15} - 469 x^{14} - 26 x^{13} + 234 x^{12} - 345 x^{11} + 554 x^{10} - 110 x^{9} - 487 x^{8} + 401 x^{7} + 17 x^{6} - 196 x^{5} + 76 x^{4} + 32 x^{3} - 18 x^{2} - 2 x + 1$ |
$22$ |
[14,4] |
$23^{20}\cdot 47^{2}$ |
$2$ |
$24.5438841614$ |
$118.57232216797493$ |
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$24016183.4425$ |
| 22.14.379...009.2 |
$x^{22} - 3 x^{21} - 10 x^{20} + 29 x^{19} + 22 x^{18} - 50 x^{17} - 4 x^{16} - 40 x^{15} - 36 x^{14} + 30 x^{13} + 27 x^{12} + 115 x^{11} + 27 x^{10} + 30 x^{9} - 36 x^{8} - 40 x^{7} - 4 x^{6} - 50 x^{5} + 22 x^{4} + 29 x^{3} - 10 x^{2} - 3 x + 1$ |
$22$ |
[14,4] |
$23^{20}\cdot 47^{2}$ |
$2$ |
$24.5438841614$ |
$118.57232216797493$ |
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$24067678.7128$ |
| 22.14.134...816.1 |
$x^{22} - 12 x^{20} + 64 x^{18} - 200 x^{16} + 403 x^{14} - 544 x^{12} + 510 x^{10} - 358 x^{8} + 197 x^{6} - 73 x^{4} + 14 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 1792166448977^{2}$ |
$2$ |
$26.0000079857$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$17$ |
$45766346.4516$ |
| 22.14.181...125.1 |
$x^{22} - x^{21} - 13 x^{20} + 54 x^{18} + 93 x^{17} - 138 x^{16} - 339 x^{15} + 439 x^{14} + 258 x^{13} - 887 x^{12} + 343 x^{11} + 764 x^{10} - 601 x^{9} - 162 x^{8} + 341 x^{7} - 73 x^{6} - 118 x^{5} + 5 x^{4} + 25 x^{3} + 10 x^{2} - x - 1$ |
$22$ |
[14,4] |
$5^{11}\cdot 610429790897^{2}$ |
$2$ |
$26.3576344966$ |
$1747040.0552033717$ |
|
|
? |
$C_2\times S_{11}$ (as 22T47) |
trivial |
$2$ |
$17$ |
$51273605.8554$ |
| 22.14.319...125.1 |
$x^{22} - 2 x^{21} - 7 x^{20} + 14 x^{19} + 18 x^{18} - 67 x^{17} - 101 x^{16} + 234 x^{15} + 497 x^{14} - 273 x^{13} - 893 x^{12} + 23 x^{11} + 753 x^{10} + 147 x^{9} - 418 x^{8} - 88 x^{7} + 226 x^{6} + 6 x^{5} - 90 x^{4} + 7 x^{3} + 16 x^{2} - x - 1$ |
$22$ |
[14,4] |
$5^{11}\cdot 43^{2}\cdot 547^{2}\cdot 34374601^{2}$ |
$4$ |
$27.0397447932$ |
$2010627.9990602438$ |
|
|
? |
$C_2\times S_{11}$ (as 22T47) |
trivial |
$2$ |
$17$ |
$73525321.2665$ |
| 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 |
$2$ |
$17$ |
$205753246.579$ |
| 22.14.315...056.1 |
$x^{22} - 12 x^{20} + 58 x^{18} - 144 x^{16} + 193 x^{14} - 130 x^{12} + 21 x^{10} + 40 x^{8} - 45 x^{6} + 18 x^{4} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 8674315276967^{2}$ |
$2$ |
$30.0077336219$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$17$ |
$262128409.062$ |
| 22.14.316...496.1 |
$x^{22} - 14 x^{20} + 84 x^{18} - 285 x^{16} + 607 x^{14} - 843 x^{12} + 745 x^{10} - 363 x^{8} + 45 x^{6} + 29 x^{4} - 6 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 151^{2}\cdot 2311^{2}\cdot 24910163^{2}$ |
$4$ |
$30.0135021259$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$17$ |
$228691447.993$ |
| 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 |
$2$ |
$17$ |
$443688211.731$ |
| 22.14.409...729.1 |
$x^{22} - 4 x^{21} - 7 x^{20} + 51 x^{19} - 43 x^{18} - 173 x^{17} + 600 x^{16} - 652 x^{15} - 2636 x^{14} + 6381 x^{13} + 6768 x^{12} - 16676 x^{11} - 7057 x^{10} + 24180 x^{9} + 2364 x^{8} - 20611 x^{7} - 494 x^{6} + 7657 x^{5} - 659 x^{4} - 998 x^{3} + 289 x^{2} - 29 x + 1$ |
$22$ |
[14,4] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$785042011.806$ |
| 22.14.409...729.2 |
$x^{22} - 3 x^{21} - 14 x^{20} + 65 x^{19} - 57 x^{18} - 197 x^{17} + 729 x^{16} - 508 x^{15} - 1121 x^{14} + 1546 x^{13} - 935 x^{12} + 160 x^{11} + 1889 x^{10} - 975 x^{9} + 579 x^{8} + 80 x^{7} - 700 x^{6} + 99 x^{5} - 159 x^{4} - 75 x^{3} + 41 x^{2} + 15 x + 1$ |
$22$ |
[14,4] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$903801457.7$ |
| 22.14.719...104.1 |
$x^{22} - 7 x^{20} - 7 x^{18} + 74 x^{16} + 2 x^{14} - 223 x^{12} + 52 x^{10} + 221 x^{8} - 86 x^{6} - 41 x^{4} + 14 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1184851889.99$ |
| 22.14.719...104.2 |
$x^{22} - 14 x^{20} + 64 x^{18} - 75 x^{16} - 198 x^{14} + 523 x^{12} - 122 x^{10} - 531 x^{8} + 386 x^{6} - 16 x^{4} - 16 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1048235250.12$ |
| 22.14.719...104.3 |
$x^{22} - 5 x^{20} - 20 x^{18} + 90 x^{16} + 144 x^{14} - 445 x^{12} - 333 x^{10} + 572 x^{8} - 107 x^{6} - 50 x^{4} + 15 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1094333914.95$ |
| 22.14.719...104.4 |
$x^{22} - 7 x^{20} - 7 x^{18} + 97 x^{16} - 21 x^{14} - 269 x^{12} + 29 x^{10} + 198 x^{8} - 40 x^{6} - 41 x^{4} + 14 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1258786005.7$ |
| 22.14.719...104.5 |
$x^{22} - 14 x^{20} + 64 x^{18} - 75 x^{16} - 175 x^{14} + 339 x^{12} + 200 x^{10} - 370 x^{8} - 166 x^{6} + 53 x^{4} + 7 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1109277573.58$ |
| 22.14.719...104.6 |
$x^{22} - 7 x^{20} - 7 x^{18} + 97 x^{16} - 67 x^{14} - 338 x^{12} + 512 x^{10} + 14 x^{8} - 362 x^{6} + 166 x^{4} - 9 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$17$ |
$1121614550.16$ |
| 22.14.138...424.1 |
$x^{22} - 11 x^{20} + 43 x^{18} - 62 x^{16} - 16 x^{14} + 116 x^{12} - 53 x^{10} - 56 x^{8} + 32 x^{6} + 10 x^{4} - 4 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 233^{2}\cdot 246572816873^{2}$ |
$3$ |
$35.6349006082$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$17$ |
$1553582369.31$ |
| 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 |
$2$ |
$17$ |
$3506878349.71$ |
| 22.14.174...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 |
$2$ |
$17$ |
$3382573146.33$ |
| 22.14.117...544.1 |
$x^{22} - 8 x^{20} + 16 x^{18} + 21 x^{16} - 100 x^{14} + 69 x^{12} + 67 x^{10} - 76 x^{8} - 4 x^{6} + 17 x^{4} - x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 233^{2}\cdot 937^{2}\cdot 5279^{2}\cdot 145459^{2}$ |
$5$ |
$39.278614181$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$17$ |
$5940509484.4$ |
| 22.14.165...392.1 |
$x^{22} - 69 x^{18} + 115 x^{16} + 1265 x^{14} - 3680 x^{12} - 1426 x^{10} + 9752 x^{8} - 4646 x^{6} - 2369 x^{4} + 943 x^{2} - 23$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$4615526744.67$ |
| 22.14.165...392.2 |
$x^{22} - 69 x^{18} + 207 x^{16} + 368 x^{14} - 1863 x^{12} + 920 x^{10} + 3036 x^{8} - 4186 x^{6} + 1794 x^{4} - 184 x^{2} - 23$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$5072391221.34$ |
| 22.14.165...392.3 |
$x^{22} - 46 x^{18} - 23 x^{16} + 552 x^{14} + 115 x^{12} - 2093 x^{10} + 759 x^{8} + 2070 x^{6} - 1633 x^{4} + 368 x^{2} - 23$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$4812745162.38$ |
| 22.14.165...392.4 |
$x^{22} - 69 x^{18} + 138 x^{16} + 897 x^{14} - 2553 x^{12} - 575 x^{10} + 5934 x^{8} - 4002 x^{6} + 368 x^{4} + 161 x^{2} - 23$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$4936798945.5$ |
| 22.14.165...392.5 |
$x^{22} - 92 x^{18} + 345 x^{16} + 690 x^{14} - 4301 x^{12} + 1012 x^{10} + 13156 x^{8} - 11523 x^{6} - 322 x^{4} + 414 x^{2} - 23$ |
$22$ |
[14,4] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$17$ |
$5349912111.59$ |
| 22.14.226...241.1 |
$x^{22} - 2 x^{21} - 39 x^{20} + 64 x^{19} + 637 x^{18} - 838 x^{17} - 5728 x^{16} + 5845 x^{15} + 31533 x^{14} - 23266 x^{13} - 111308 x^{12} + 50752 x^{11} + 255873 x^{10} - 41357 x^{9} - 384169 x^{8} - 55415 x^{7} + 364754 x^{6} + 157543 x^{5} - 189895 x^{4} - 128323 x^{3} + 35550 x^{2} + 35218 x + 3037$ |
$22$ |
[14,4] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
$[2]$ |
$2$ |
$17$ |
$33227535087.9$ |
| 22.14.226...241.2 |
$x^{22} - 3 x^{21} - 24 x^{20} + 59 x^{19} + 273 x^{18} - 436 x^{17} - 1924 x^{16} + 1356 x^{15} + 5010 x^{14} + 14999 x^{13} - 9512 x^{12} - 114771 x^{11} + 18405 x^{10} + 290616 x^{9} + 69522 x^{8} - 375325 x^{7} - 259853 x^{6} + 293924 x^{5} + 260945 x^{4} - 133418 x^{3} - 93266 x^{2} + 21174 x + 11623$ |
$22$ |
[14,4] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
$[2]$ |
$2$ |
$17$ |
$76552602113.1$ |
| 22.14.226...241.3 |
$x^{22} - 7 x^{21} - 9 x^{20} + 171 x^{19} - 276 x^{18} - 1022 x^{17} + 3668 x^{16} - 1134 x^{15} - 10988 x^{14} + 19765 x^{13} - 17789 x^{12} + 6 x^{11} + 111532 x^{10} - 268518 x^{9} - 21573 x^{8} + 707388 x^{7} - 501170 x^{6} - 789327 x^{5} + 795886 x^{4} + 400629 x^{3} - 428800 x^{2} - 69431 x + 68279$ |
$22$ |
[14,4] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$17$ |
$62984644695.5$ |
| 22.14.226...241.4 |
$x^{22} - 4 x^{21} - 15 x^{20} + 64 x^{19} + 79 x^{18} - 540 x^{17} + 528 x^{16} + 1865 x^{15} - 4894 x^{14} - 1811 x^{13} + 8981 x^{12} + 4163 x^{11} - 6857 x^{10} - 8000 x^{9} + 2421 x^{8} + 4419 x^{7} - 158 x^{6} - 547 x^{5} - 172 x^{4} - 39 x^{3} + 52 x^{2} - 2 x - 1$ |
$22$ |
[14,4] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
$[2]$ |
$2$ |
$17$ |
$25862455945.7$ |
| 22.14.565...896.1 |
$x^{22} - 6 x^{20} - 8 x^{18} + 116 x^{16} - 174 x^{14} - 339 x^{12} + 1060 x^{10} - 606 x^{8} - 386 x^{6} + 335 x^{4} + 7 x^{2} - 25$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$17$ |
$157728665560$ |
| 22.14.565...896.2 |
$x^{22} - 15 x^{20} + 49 x^{18} + 116 x^{16} - 777 x^{14} + 894 x^{12} + 527 x^{10} - 1202 x^{8} + 244 x^{6} + 212 x^{4} - 65 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$17$ |
$173811194199$ |
| 22.14.565...896.3 |
$x^{22} - 5 x^{20} - 49 x^{18} + 168 x^{16} + 746 x^{14} - 1298 x^{12} - 2537 x^{10} + 4881 x^{8} + 681 x^{6} - 5264 x^{4} + 3300 x^{2} - 625$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$17$ |
$180095146008$ |
| 22.14.565...896.4 |
$x^{22} - x^{20} - 23 x^{18} + 27 x^{16} + 145 x^{14} - 193 x^{12} - 240 x^{10} + 421 x^{8} - 162 x^{6} + 9 x^{2} - 1$ |
$22$ |
[14,4] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$17$ |
$135405112524$ |
| 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 |
$2$ |
$17$ |
$304664234438$ |
| 22.14.385...664.1 |
$x^{22} - 220 x^{18} - 572 x^{16} + 6468 x^{14} - 880 x^{12} - 27676 x^{10} + 33396 x^{8} - 15136 x^{6} + 2904 x^{4} - 176 x^{2} - 4$ |
$22$ |
[14,4] |
$2^{24}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$56.7445971042$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$1551542190850$ |
| 22.14.154...656.1 |
$x^{22} - 33 x^{20} + 143 x^{18} - 22 x^{17} + 385 x^{16} - 2222 x^{15} - 902 x^{14} + 14586 x^{13} - 3234 x^{12} + 94 x^{11} - 39512 x^{10} - 28006 x^{9} + 136862 x^{8} - 99286 x^{7} - 30151 x^{6} + 136136 x^{5} - 99561 x^{4} - 13794 x^{3} + 44385 x^{2} - 17182 x + 2039$ |
$22$ |
[14,4] |
$2^{26}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$60.4353275196$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$4502089440930$ |
| 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 |
$2$ |
$17$ |
$1094458840240$ |
| 22.14.429...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 |
$2$ |
$17$ |
$1259441074740$ |
| 22.14.617...624.1 |
$x^{22} - 33 x^{20} - 44 x^{19} + 253 x^{18} + 660 x^{17} + 1177 x^{16} + 2992 x^{15} - 2266 x^{14} - 27214 x^{13} - 75812 x^{12} - 258772 x^{11} - 808192 x^{10} - 1679018 x^{9} - 2491038 x^{8} - 3007114 x^{7} - 3012009 x^{6} - 2244528 x^{5} - 1081113 x^{4} - 281710 x^{3} - 22011 x^{2} + 4268 x + 561$ |
$22$ |
[14,4] |
$2^{28}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$64.3661070622$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$10182928874900$ |
| 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 |
$2$ |
$17$ |
$1257457670420$ |
| 22.14.114...032.1 |
$x^{22} - 6 x^{21} - 5 x^{20} + 90 x^{19} - 75 x^{18} - 502 x^{17} + 754 x^{16} + 1304 x^{15} - 2700 x^{14} - 1626 x^{13} + 4915 x^{12} + 730 x^{11} - 4996 x^{10} + 344 x^{9} + 2915 x^{8} - 496 x^{7} - 983 x^{6} + 192 x^{5} + 193 x^{4} - 32 x^{3} - 21 x^{2} + 2 x + 1$ |
$22$ |
[14,4] |
$2^{33}\cdot 7\cdot 5926651993\cdot 32033476985376969871$ |
$4$ |
$66.1904781486$ |
|
|
|
✓ |
$S_{11}\wr C_2$ (as 22T57) |
trivial |
$2$ |
$17$ |
$2574514212980$ |
| 22.14.246...496.1 |
$x^{22} - 11 x^{20} - 55 x^{18} - 154 x^{17} + 517 x^{16} + 1628 x^{15} + 3058 x^{14} + 2332 x^{13} - 6160 x^{12} - 33934 x^{11} - 105996 x^{10} - 79684 x^{9} + 136972 x^{8} + 243364 x^{7} + 221111 x^{6} + 106920 x^{5} - 143297 x^{4} - 191466 x^{3} - 62843 x^{2} - 5258 x + 245$ |
$22$ |
[14,4] |
$2^{30}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$68.5525487885$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$15569759718900$ |
| 22.14.246...496.2 |
$x^{22} - 44 x^{20} - 22 x^{19} + 660 x^{18} + 704 x^{17} - 4048 x^{16} - 8448 x^{15} + 10516 x^{14} + 48312 x^{13} - 15180 x^{12} - 118720 x^{11} + 17776 x^{10} + 67408 x^{9} + 84392 x^{8} + 3696 x^{7} - 151976 x^{6} - 9328 x^{5} + 131648 x^{4} + 71104 x^{3} + 8976 x^{2} - 704 x - 48$ |
$22$ |
[14,4] |
$2^{30}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$68.5525487885$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$16857324277000$ |
| 22.14.246...496.3 |
$x^{22} - 11 x^{20} - 44 x^{19} - 33 x^{18} + 748 x^{17} + 869 x^{16} - 3630 x^{15} - 6578 x^{14} + 7018 x^{13} + 25894 x^{12} - 17722 x^{11} - 24992 x^{10} - 3784 x^{9} + 25476 x^{8} + 25014 x^{7} - 29799 x^{6} - 9218 x^{5} + 10329 x^{4} + 1870 x^{3} - 1133 x^{2} - 264 x - 13$ |
$22$ |
[14,4] |
$2^{30}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$68.5525487885$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$12066789286700$ |
| 22.14.246...496.4 |
$x^{22} - 22 x^{20} - 22 x^{19} - 44 x^{18} - 374 x^{17} + 2970 x^{16} + 15444 x^{15} + 2442 x^{14} - 88748 x^{13} - 127732 x^{12} + 115336 x^{11} + 383570 x^{10} + 156442 x^{9} - 287386 x^{8} - 325028 x^{7} - 118162 x^{6} + 23628 x^{5} + 120978 x^{4} + 79508 x^{3} - 17270 x^{2} - 9416 x + 1554$ |
$22$ |
[14,4] |
$2^{30}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$68.5525487885$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$17981000875800$ |
| 22.14.246...496.5 |
$x^{22} - 11 x^{20} - 121 x^{18} + 1551 x^{16} - 594 x^{14} - 35574 x^{12} + 88462 x^{10} + 100738 x^{8} - 410399 x^{6} + 75361 x^{4} + 481415 x^{2} - 303601$ |
$22$ |
[14,4] |
$2^{30}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$68.5525487885197$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$17$ |
$20091585541845.836$ |
| 22.14.297...128.1 |
$x^{22} - 33 x^{20} - 44 x^{19} + 385 x^{18} + 990 x^{17} - 1815 x^{16} - 7436 x^{15} + 902 x^{14} + 23584 x^{13} + 14058 x^{12} - 48740 x^{11} - 23034 x^{10} + 158444 x^{9} + 133782 x^{8} - 268796 x^{7} - 608399 x^{6} - 263560 x^{5} + 354255 x^{4} + 374352 x^{3} + 107129 x^{2} + 9086 x - 63$ |
$22$ |
[14,4] |
$2^{24}\cdot 7^{11}\cdot 11^{23}$ |
$3$ |
$69.1311999449$ |
|
|
|
? |
$C_2^{10}.F_{11}$ (as 22T35) |
$[2]$ |
$2$ |
$17$ |
$7150261277700$ |
