| 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 |
| 22.2.529...892.1 |
$x^{22} - 4 x^{21} + 8 x^{20} - 17 x^{19} + 25 x^{18} + 9 x^{17} - 75 x^{16} + 78 x^{15} - 51 x^{14} - 5 x^{13} + 143 x^{12} - 112 x^{11} + 22 x^{10} + 109 x^{9} + 123 x^{8} + 246 x^{7} + 108 x^{6} - 39 x^{5} - 82 x^{4} - 107 x^{3} - 65 x^{2} - 4 x + 8$ |
$22$ |
[2,10] |
$2^{2}\cdot 3^{20}\cdot 11^{18}\cdot 683$ |
$4$ |
$27.6693415132$ |
$1228.1187427804516$ |
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$11$ |
$26264812.3371$ |
| 22.2.145...953.1 |
$x^{22} - 4 x^{21} + x^{20} + 6 x^{19} + 21 x^{18} - 27 x^{17} - 24 x^{16} - 255 x^{15} + 291 x^{14} + 226 x^{13} + 1112 x^{12} + 1378 x^{11} + 1776 x^{10} + 2229 x^{9} + 2715 x^{8} + 2358 x^{7} + 1791 x^{6} + 360 x^{5} - 828 x^{4} - 9 x^{3} + 405 x^{2} + 117 x - 72$ |
$22$ |
[2,10] |
$3^{20}\cdot 11^{19}\cdot 683$ |
$3$ |
$28.9713339108$ |
$692.2771513642006$ |
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$11$ |
$242986235.621$ |
| 22.0.158...676.1 |
$x^{22} - 11 x^{21} + 66 x^{20} - 275 x^{19} + 880 x^{18} - 2277 x^{17} + 4917 x^{16} - 9042 x^{15} + 14355 x^{14} - 19855 x^{13} + 24068 x^{12} - 25650 x^{11} + 24035 x^{10} - 19723 x^{9} + 14058 x^{8} - 8646 x^{7} + 4653 x^{6} - 2343 x^{5} + 1210 x^{4} - 605 x^{3} + 231 x^{2} - 44 x + 10$ |
$22$ |
[0,11] |
$-\,2^{2}\cdot 3^{21}\cdot 11^{18}\cdot 683$ |
$4$ |
$29.0861442411$ |
$1291.0043009390063$ |
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
$[2]$ |
$2$ |
$10$ |
$18825595.7955$ |
| 22.0.436...859.1 |
$x^{22} - 7 x^{21} + 27 x^{20} - 73 x^{19} + 238 x^{18} - 681 x^{17} + 1593 x^{16} - 3279 x^{15} + 6450 x^{14} - 11717 x^{13} + 18830 x^{12} - 25953 x^{11} + 31166 x^{10} - 32372 x^{9} + 28878 x^{8} - 22278 x^{7} + 14793 x^{6} - 8202 x^{5} + 3676 x^{4} - 1240 x^{3} + 279 x^{2} - 40 x + 4$ |
$22$ |
[0,11] |
$-\,3^{21}\cdot 11^{19}\cdot 683$ |
$3$ |
$30.4548048816$ |
$727.7250551763278$ |
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
$[2]$ |
$2$ |
$10$ |
$16540680.032$ |
| 22.12.432...368.1 |
$x^{22} - 33 x^{20} + 451 x^{18} - 3575 x^{16} + 19338 x^{14} - 74074 x^{12} - 2852 x^{11} + 200662 x^{10} + 23496 x^{9} - 379214 x^{8} - 35640 x^{7} + 458469 x^{6} - 29568 x^{5} - 295317 x^{4} + 77132 x^{3} + 71159 x^{2} - 32472 x + 2545$ |
$22$ |
[12,5] |
$-\,2^{28}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$70.3186930912$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$8493530131220$ |
| 22.16.432...368.1 |
$x^{22} - 33 x^{20} - 66 x^{19} + 231 x^{18} + 1144 x^{17} + 1529 x^{16} - 4928 x^{15} - 22154 x^{14} - 1936 x^{13} + 88242 x^{12} - 17636 x^{11} - 365706 x^{10} + 218944 x^{9} + 1743610 x^{8} + 775632 x^{7} - 2869999 x^{6} - 3158496 x^{5} + 575311 x^{4} + 2206182 x^{3} + 942403 x^{2} + 77528 x + 1789$ |
$22$ |
[16,3] |
$-\,2^{28}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$70.3186930912$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$18$ |
$31449293670700$ |
| 22.12.678...864.1 |
$x^{22} - 22 x^{20} + 220 x^{18} - 1584 x^{16} + 8448 x^{14} - 32032 x^{12} - 2852 x^{11} + 97152 x^{10} + 18084 x^{9} - 192896 x^{8} + 65120 x^{7} + 281600 x^{6} - 205568 x^{5} - 197120 x^{4} + 162272 x^{3} + 33792 x^{2} - 40128 x + 6044$ |
$22$ |
[12,5] |
$-\,2^{28}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$71.7783175447$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$9720085472130$ |
| 22.16.678...864.1 |
$x^{22} - 55 x^{20} - 22 x^{19} + 957 x^{18} + 198 x^{17} - 7293 x^{16} + 1914 x^{15} + 24794 x^{14} - 25828 x^{13} - 28380 x^{12} + 85584 x^{11} - 13596 x^{10} - 105028 x^{9} + 73260 x^{8} + 53592 x^{7} - 84535 x^{6} - 11374 x^{5} + 43571 x^{4} + 264 x^{3} - 10241 x^{2} + 572 x + 1115$ |
$22$ |
[16,3] |
$-\,2^{28}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$71.7783175447$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$18$ |
$29456905708500$ |
| 22.16.987...984.1 |
$x^{22} - 44 x^{20} + 814 x^{18} - 8426 x^{16} - 176 x^{15} + 54912 x^{14} + 4752 x^{13} - 239844 x^{12} - 52324 x^{11} + 715836 x^{10} + 302192 x^{9} - 1393920 x^{8} - 959640 x^{7} + 1505240 x^{6} + 1551528 x^{5} - 514272 x^{4} - 984368 x^{3} - 174856 x^{2} + 115280 x + 32136$ |
$22$ |
[16,3] |
$-\,2^{32}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$73.0112812456$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$18$ |
$35285362544300$ |
| 22.16.172...472.1 |
$x^{22} - 33 x^{20} + 429 x^{18} - 176 x^{17} - 4081 x^{16} + 5852 x^{15} + 47674 x^{14} - 68332 x^{13} - 459998 x^{12} + 333988 x^{11} + 2587090 x^{10} - 470580 x^{9} - 7832726 x^{8} - 1357004 x^{7} + 11956197 x^{6} + 4761548 x^{5} - 7915633 x^{4} - 4092132 x^{3} + 1244177 x^{2} + 607860 x + 45207$ |
$22$ |
[16,3] |
$-\,2^{30}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$74.8922974978$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$18$ |
$80132486392700$ |
| 22.12.395...936.1 |
$x^{22} + 22 x^{20} - 1672 x^{16} + 308 x^{14} + 24904 x^{12} - 42020 x^{10} - 12672 x^{8} + 47916 x^{6} - 18128 x^{4} - 484 x^{2} + 324$ |
$22$ |
[12,5] |
$-\,2^{34}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$77.7600145192$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$28872778624300$ |
| 22.12.395...936.2 |
$x^{22} - 132 x^{18} + 5104 x^{14} + 704 x^{12} - 72512 x^{10} - 22528 x^{8} + 301312 x^{6} + 129536 x^{4} - 202752 x^{2} + 25600$ |
$22$ |
[12,5] |
$-\,2^{34}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$77.7600145192$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$16582815650400$ |
| 22.14.691...888.1 |
$x^{22} - 33 x^{20} + 275 x^{18} + 1485 x^{16} - 28666 x^{14} + 60214 x^{12} + 517242 x^{10} - 1742862 x^{8} - 1958407 x^{6} + 5945995 x^{4} + 5048131 x^{2} - 209503$ |
$22$ |
[14,4] |
$2^{32}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$79.7633741177$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$135115943309000$ |
| 22.10.691...888.1 |
$x^{22} - 88 x^{19} - 22 x^{18} + 616 x^{17} + 1254 x^{16} + 286 x^{15} - 26026 x^{14} + 22704 x^{13} + 119592 x^{12} - 242466 x^{11} + 48444 x^{10} + 529892 x^{9} - 1135354 x^{8} + 428692 x^{7} + 1028302 x^{6} - 1280840 x^{5} + 779856 x^{4} - 36300 x^{3} - 293150 x^{2} + 93324 x + 8730$ |
$22$ |
[10,6] |
$2^{32}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$79.7633741177$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$23110616440200$ |
| 22.10.108...824.1 |
$x^{22} + 11 x^{20} - 121 x^{18} - 935 x^{16} + 5258 x^{14} + 16830 x^{12} - 52690 x^{10} - 105182 x^{8} + 181093 x^{6} + 216359 x^{4} - 183909 x^{2} - 24299$ |
$22$ |
[10,6] |
$2^{32}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$81.4190444131$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$50207875662600$ |
| 22.14.108...824.1 |
$x^{22} - 33 x^{20} + 385 x^{18} - 2057 x^{16} + 6754 x^{14} - 18106 x^{12} - 3800 x^{11} + 27874 x^{10} - 19008 x^{9} - 43450 x^{8} + 58608 x^{7} + 18909 x^{6} - 30800 x^{5} - 2629 x^{4} + 4488 x^{3} + 253 x^{2} - 176 x - 13$ |
$22$ |
[14,4] |
$2^{32}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$81.4190444131$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$67225391241000$ |
| 22.12.158...744.1 |
$x^{22} - 22 x^{20} - 44 x^{18} + 1892 x^{16} - 3740 x^{14} - 33968 x^{12} + 112464 x^{10} + 18480 x^{8} - 226336 x^{6} + 9152 x^{4} + 10032 x^{2} + 16$ |
$22$ |
[12,5] |
$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$82.8176105784$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$33113833647300$ |
| 22.20.158...744.1 |
$x^{22} - 55 x^{20} + 1199 x^{18} - 13299 x^{16} + 81114 x^{14} - 279642 x^{12} + 532422 x^{10} - 491194 x^{8} + 80201 x^{6} + 190157 x^{4} - 119053 x^{2} + 18225$ |
$22$ |
[20,1] |
$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$82.8176105784$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$20$ |
$398887974077000$ |
| 22.8.158...744.1 |
$x^{22} + 22 x^{20} - 66 x^{18} - 1892 x^{16} + 2684 x^{14} + 50908 x^{12} - 77924 x^{10} - 384824 x^{8} + 646272 x^{6} + 36080 x^{4} + 660 x^{2} + 4$ |
$22$ |
[8,7] |
$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$82.8176105784$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$14$ |
$21328458038300$ |
| 22.12.158...744.2 |
$x^{22} - 11 x^{20} - 275 x^{18} + 1529 x^{16} + 22814 x^{14} - 2178 x^{12} - 137698 x^{10} + 20262 x^{8} + 180081 x^{6} - 29315 x^{4} + 517 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{36}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$82.8176105784$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$54781484875400$ |
| 22.4.162...712.1 |
$x^{22} + 22 x^{20} - 44 x^{19} + 308 x^{18} - 682 x^{17} + 5148 x^{16} - 4884 x^{15} + 20746 x^{14} - 37576 x^{13} + 458128 x^{12} + 582788 x^{11} + 2492600 x^{10} - 5616732 x^{9} + 12766776 x^{8} + 72829196 x^{7} + 27797264 x^{6} - 125806824 x^{5} - 187011000 x^{4} - 118806292 x^{3} - 39878476 x^{2} - 6794304 x - 306180$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 7^{15}\cdot 11^{22}$ |
$3$ |
$82.9136225033$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$12$ |
$17902679661000$ |
| 22.12.276...552.1 |
$x^{22} - 33 x^{20} + 33 x^{18} + 3751 x^{16} + 16654 x^{14} + 4818 x^{12} - 68354 x^{10} - 35706 x^{8} + 96261 x^{6} + 1683 x^{4} - 13079 x^{2} + 1183$ |
$22$ |
[12,5] |
$-\,2^{34}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$84.9512708677$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$150225854376000$ |
| 22.10.276...552.1 |
$x^{22} - 33 x^{20} - 66 x^{19} + 319 x^{18} + 1342 x^{17} + 275 x^{16} - 6336 x^{15} - 7546 x^{14} + 18568 x^{13} + 44792 x^{12} - 23260 x^{11} - 155342 x^{10} - 59884 x^{9} + 294888 x^{8} + 78716 x^{7} - 1479335 x^{6} - 3296436 x^{5} - 3200659 x^{4} - 1325390 x^{3} - 1397 x^{2} + 107514 x + 585$ |
$22$ |
[10,6] |
$2^{34}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$84.9512708677$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$88719177660800$ |
| 22.14.276...552.1 |
$x^{22} - 33 x^{20} + 99 x^{18} + 6941 x^{16} - 92950 x^{14} + 428230 x^{12} - 610082 x^{10} - 138182 x^{8} + 643797 x^{6} - 67749 x^{4} - 94897 x^{2} - 567$ |
$22$ |
[14,4] |
$2^{34}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$84.9512708677$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$62812267559000$ |
| 22.18.276...552.1 |
$x^{22} - 22 x^{20} - 88 x^{18} + 3520 x^{16} - 4576 x^{14} - 99132 x^{12} + 468424 x^{10} - 870980 x^{8} + 806696 x^{6} - 380600 x^{4} + 81092 x^{2} - 4732$ |
$22$ |
[18,2] |
$2^{34}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$84.9512708677$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$19$ |
$275497411266000$ |
| 22.14.276...552.2 |
$x^{22} - 33 x^{20} + 99 x^{18} + 4125 x^{16} - 15862 x^{14} - 109450 x^{12} + 423302 x^{10} - 148038 x^{8} - 370491 x^{6} + 88539 x^{4} + 3399 x^{2} - 7$ |
$22$ |
[14,4] |
$2^{34}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$84.9512708677$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$144369473967000$ |
| 22.10.434...296.1 |
$x^{22} - 33 x^{20} + 231 x^{18} + 1353 x^{16} - 13310 x^{14} + 11374 x^{12} + 75878 x^{10} - 61974 x^{8} - 132979 x^{6} - 51997 x^{4} - 4829 x^{2} - 99$ |
$22$ |
[10,6] |
$2^{34}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$86.7146277629$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$42130011981300$ |
| 22.18.434...296.1 |
$x^{22} - 44 x^{20} + 660 x^{18} - 2640 x^{16} - 27456 x^{14} + 312576 x^{12} - 1046848 x^{10} + 991232 x^{8} + 892672 x^{6} - 1402368 x^{4} + 259072 x^{2} - 11264$ |
$22$ |
[18,2] |
$2^{34}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$86.7146277629$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$19$ |
$515955293802000$ |
| 22.12.632...976.1 |
$x^{22} - 220 x^{18} - 506 x^{16} + 6380 x^{14} + 14916 x^{12} - 26136 x^{10} - 44396 x^{8} + 40700 x^{6} + 30140 x^{4} - 24728 x^{2} + 2500$ |
$22$ |
[12,5] |
$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$88.2041581953$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$56201616047000$ |
| 22.20.632...976.1 |
$x^{22} - 55 x^{20} + 1177 x^{18} - 12639 x^{16} + 73898 x^{14} - 237402 x^{12} + 390258 x^{10} - 246906 x^{8} - 33011 x^{6} + 40249 x^{4} - 451 x^{2} + 1$ |
$22$ |
[20,1] |
$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$88.2041581953$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$20$ |
$655923805276000$ |
| 22.8.632...976.1 |
$x^{22} + 22 x^{20} - 22 x^{18} - 1738 x^{16} + 1100 x^{14} + 22000 x^{12} + 4840 x^{10} - 87120 x^{8} - 57596 x^{6} + 104544 x^{4} + 94380 x^{2} + 484$ |
$22$ |
[8,7] |
$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$88.2041581953$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$14$ |
$74479018733000$ |
| 22.12.632...976.2 |
$x^{22} - 132 x^{18} - 66 x^{16} + 4840 x^{14} + 4312 x^{12} - 43648 x^{10} - 24156 x^{8} + 144188 x^{6} + 10736 x^{4} - 162668 x^{2} + 66564$ |
$22$ |
[12,5] |
$-\,2^{38}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$88.2041581953$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$59147386595900$ |
| 22.10.110...208.1 |
$x^{22} + 11 x^{20} - 341 x^{18} + 693 x^{16} + 6402 x^{14} - 5434 x^{12} - 36850 x^{10} - 27742 x^{8} + 3245 x^{6} + 4191 x^{4} + 407 x^{2} - 7$ |
$22$ |
[10,6] |
$2^{36}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$90.4765940743$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$51106769365100$ |
| 22.14.110...208.1 |
$x^{22} - 264 x^{18} + 748 x^{16} + 7304 x^{14} - 24640 x^{12} - 37488 x^{10} + 183568 x^{8} - 139744 x^{6} + 1408 x^{4} + 22528 x^{2} - 4032$ |
$22$ |
[14,4] |
$2^{36}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$90.4765940743$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$447697125541000$ |
| 22.14.110...208.2 |
$x^{22} - 22 x^{20} - 22 x^{19} + 44 x^{18} + 1100 x^{17} - 264 x^{16} - 7964 x^{15} - 9768 x^{14} + 45496 x^{13} + 143198 x^{12} - 386424 x^{11} - 452100 x^{10} + 1638604 x^{9} + 70312 x^{8} - 2908488 x^{7} + 1303676 x^{6} + 2055152 x^{5} - 1542332 x^{4} - 334400 x^{3} + 455400 x^{2} - 72072 x + 2060$ |
$22$ |
[14,4] |
$2^{36}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$90.4765940743$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$506224991821000$ |
| 22.14.110...208.3 |
$x^{22} - 33 x^{20} + 363 x^{18} - 484 x^{17} - 2959 x^{16} + 7524 x^{15} + 27676 x^{14} - 19228 x^{13} - 69872 x^{12} + 263964 x^{11} + 670384 x^{10} - 603768 x^{9} - 3185732 x^{8} - 2479356 x^{7} + 1671351 x^{6} + 2734556 x^{5} + 459613 x^{4} - 635404 x^{3} - 289971 x^{2} - 21428 x + 4351$ |
$22$ |
[14,4] |
$2^{36}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$90.4765940743$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$282677839819000$ |
| 22.10.173...184.1 |
$x^{22} - 11 x^{20} - 253 x^{18} + 77 x^{16} + 15290 x^{14} + 78210 x^{12} + 137742 x^{10} + 50710 x^{8} - 38687 x^{6} + 4301 x^{4} + 11 x^{2} - 11$ |
$22$ |
[10,6] |
$2^{36}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$92.3546416229$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$278355683298000$ |
| 22.14.173...184.1 |
$x^{22} - 11 x^{20} - 451 x^{18} + 8921 x^{16} - 51810 x^{14} + 88154 x^{12} + 94710 x^{10} - 303358 x^{8} + 111265 x^{6} + 50193 x^{4} + 253 x^{2} - 539$ |
$22$ |
[14,4] |
$2^{36}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$92.3546416229$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$17$ |
$227288072906000$ |
| 22.12.252...904.1 |
$x^{22} - 11 x^{20} - 99 x^{18} + 737 x^{16} + 4444 x^{14} - 3982 x^{12} - 26972 x^{10} + 16874 x^{8} + 27203 x^{6} - 8283 x^{4} - 165 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{40}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$93.9410527374$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$112911736426000$ |
| 22.8.252...904.1 |
$x^{22} - 11 x^{20} - 297 x^{18} + 1639 x^{16} + 20130 x^{14} + 39776 x^{12} + 10890 x^{10} - 19096 x^{8} - 10527 x^{6} + 231 x^{4} + 715 x^{2} + 49$ |
$22$ |
[8,7] |
$-\,2^{40}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$93.9410527374$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$14$ |
$122487476263000$ |
| 22.8.442...832.1 |
$x^{22} + 44 x^{20} + 330 x^{18} - 1122 x^{16} - 10428 x^{14} - 9548 x^{12} + 33044 x^{10} + 58124 x^{8} + 25432 x^{6} + 748 x^{4} - 836 x^{2} + 28$ |
$22$ |
[8,7] |
$-\,2^{38}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$96.3612903217$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$14$ |
$184763637962000$ |
| 22.10.442...832.1 |
$x^{22} + 33 x^{20} + 319 x^{18} - 209 x^{16} - 20988 x^{14} - 118448 x^{12} - 163020 x^{10} + 383460 x^{8} + 725043 x^{6} - 627737 x^{4} + 111749 x^{2} - 7$ |
$22$ |
[10,6] |
$2^{38}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$96.3612903217$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$324487838837000$ |
| 22.10.442...832.2 |
$x^{22} - 22 x^{20} - 88 x^{18} + 2200 x^{16} + 13420 x^{14} - 3476 x^{12} - 167728 x^{10} - 311784 x^{8} + 46288 x^{6} + 308176 x^{4} - 55088 x^{2} - 2800$ |
$22$ |
[10,6] |
$2^{38}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$96.3612903217$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$359637853570000$ |
| 22.10.695...736.1 |
$x^{22} - 11 x^{20} - 121 x^{18} + 1507 x^{16} + 484 x^{14} - 38368 x^{12} + 43252 x^{10} + 304084 x^{8} - 258445 x^{6} - 918269 x^{4} - 344355 x^{2} - 3179$ |
$22$ |
[10,6] |
$2^{38}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$98.3614881289$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$284974679294000$ |
| 22.10.695...736.2 |
$x^{22} - 11 x^{20} - 55 x^{18} + 737 x^{16} + 946 x^{14} - 14982 x^{12} - 7326 x^{10} + 87538 x^{8} + 66957 x^{6} - 46255 x^{4} - 16203 x^{2} - 275$ |
$22$ |
[10,6] |
$2^{38}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$98.3614881289$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$15$ |
$177107930250000$ |
| 22.12.103...568.1 |
$x^{22} - 44 x^{20} - 88 x^{19} + 660 x^{18} + 2618 x^{17} - 3058 x^{16} - 26224 x^{15} + 17820 x^{14} + 233288 x^{13} - 204908 x^{12} - 2903728 x^{11} - 3647732 x^{10} + 10497784 x^{9} + 34411080 x^{8} + 26459576 x^{7} - 25406876 x^{6} - 57398352 x^{5} - 33631884 x^{4} - 3176272 x^{3} + 1810160 x^{2} - 799480 x - 456124$ |
$22$ |
[12,5] |
$-\,2^{28}\cdot 7^{15}\cdot 11^{22}$ |
$3$ |
$100.167072144$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$16$ |
$743017589907000$ |
| 22.8.176...328.1 |
$x^{22} - 440 x^{18} + 1760 x^{16} + 29216 x^{14} - 54208 x^{12} - 381568 x^{10} + 2816 x^{8} + 1143296 x^{6} + 1216512 x^{4} + 405504 x^{2} + 28672$ |
$22$ |
[8,7] |
$-\,2^{40}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$102.628733624$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$14$ |
$499478032980000$ |
| 22.22.707...312.1 |
$x^{22} - 55 x^{20} + 1199 x^{18} - 13959 x^{16} + 96910 x^{14} - 420420 x^{12} + 1158014 x^{10} - 2018390 x^{8} + 2176097 x^{6} - 1379961 x^{4} + 464013 x^{2} - 63175$ |
$22$ |
[22,0] |
$2^{42}\cdot 7^{11}\cdot 11^{22}$ |
$3$ |
$109.303818267$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$21$ |
$9633946506020000$ |
| 22.22.111...776.1 |
$x^{22} - 55 x^{20} + 1155 x^{18} - 12859 x^{16} + 85866 x^{14} - 363440 x^{12} + 997370 x^{10} - 1777446 x^{8} + 2018885 x^{6} - 1393997 x^{4} + 527813 x^{2} - 83259$ |
$22$ |
[22,0] |
$2^{42}\cdot 7^{10}\cdot 11^{23}$ |
$3$ |
$111.572667686$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$21$ |
$17534618708500000$ |
| 22.6.384...408.1 |
$x^{22} + 22 x^{20} + 198 x^{18} + 924 x^{16} + 2288 x^{14} + 2464 x^{12} - 616 x^{10} - 3344 x^{8} - 1232 x^{6} + 1056 x^{4} + 352 x^{2} - 152$ |
$22$ |
[6,8] |
$2^{43}\cdot 7^{10}\cdot 11^{22}\cdot 19$ |
$4$ |
$118.040252894$ |
|
|
|
? |
$C_2\times C_2^{10}.F_{11}$ (as 22T37) |
trivial |
$2$ |
$13$ |
$366802956798000$ |
