| 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 |
| 22.10.162...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 |
$2$ |
$15$ |
$172549.025737$ |
| 22.10.704...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 |
$2$ |
$15$ |
$1426414.38682$ |
| 22.10.734...664.1 |
$x^{22} - 13 x^{20} + 75 x^{18} - 255 x^{16} + 572 x^{14} - 895 x^{12} + 999 x^{10} - 790 x^{8} + 425 x^{6} - 140 x^{4} + 21 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 211441^{2}\cdot 625831^{2}$ |
$3$ |
$20.5158137635$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$1312527.62555$ |
| 22.10.117...984.1 |
$x^{22} - 2 x^{20} + x^{16} - 7 x^{14} + 14 x^{12} - x^{10} - 9 x^{8} + 15 x^{6} - 22 x^{4} + 10 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 2089^{2}\cdot 79966751^{2}$ |
$3$ |
$20.9550593338$ |
|
|
|
? |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$1549923.54245$ |
| 22.10.349...224.1 |
$x^{22} - 9 x^{20} + 34 x^{18} - 69 x^{16} + 75 x^{14} - 25 x^{12} - 38 x^{10} + 52 x^{8} - 24 x^{6} - 4 x^{4} + 9 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{16}\cdot 349^{2}\cdot 6615221297^{2}$ |
$3$ |
$22.0228547982$ |
|
|
|
? |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$3755049.20739$ |
| 22.10.854...125.1 |
$x^{22} - 2 x^{21} - 4 x^{20} + 14 x^{18} + 27 x^{17} - 40 x^{16} - 66 x^{15} + 4 x^{14} + 154 x^{13} + 292 x^{12} - 44 x^{11} - 237 x^{10} + 44 x^{9} + 22 x^{8} - 93 x^{7} - 3 x^{6} + 33 x^{5} - 4 x^{4} - 2 x^{3} + 7 x^{2} - x - 1$ |
$22$ |
[10,6] |
$5^{11}\cdot 211441^{2}\cdot 625831^{2}$ |
$3$ |
$22.9373770944$ |
$813407.4393285323$ |
|
|
? |
$C_2\times S_{11}$ (as 22T47) |
trivial |
$2$ |
$15$ |
$5205736.25321$ |
| 22.10.121...125.1 |
$x^{22} - x^{21} - 4 x^{20} - x^{19} - 6 x^{18} + 7 x^{17} + 10 x^{16} + 54 x^{15} + 178 x^{14} + 64 x^{13} - 301 x^{12} - 359 x^{11} - 56 x^{10} + 64 x^{9} + 32 x^{8} + 45 x^{7} + 27 x^{6} + 16 x^{5} - 4 x^{4} - 12 x^{3} + 4 x^{2} + 2 x - 1$ |
$22$ |
[10,6] |
$5^{11}\cdot 19457^{2}\cdot 8095783^{2}$ |
$3$ |
$23.3036808442$ |
$887467.322866031$ |
|
|
? |
$C_2\times S_{11}$ (as 22T47) |
trivial |
$2$ |
$15$ |
$5475014.69169$ |
| 22.10.156...136.1 |
$x^{22} + 7 x^{20} + 15 x^{18} + 4 x^{16} - 28 x^{14} - 36 x^{12} + 7 x^{10} + 49 x^{8} - 5 x^{6} - 24 x^{4} + 10 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 610429790897^{2}$ |
$2$ |
$23.5749849842$ |
|
|
|
? |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$6409651.58093$ |
| 22.10.379...009.1 |
$x^{22} - 9 x^{21} + 30 x^{20} - 42 x^{19} - 6 x^{18} + 128 x^{17} - 208 x^{16} + 41 x^{15} + 302 x^{14} - 426 x^{13} + 86 x^{12} + 571 x^{11} - 569 x^{10} - 541 x^{9} + 986 x^{8} - 5 x^{7} - 712 x^{6} + 381 x^{5} + 144 x^{4} - 180 x^{3} + 16 x^{2} + 14 x - 1$ |
$22$ |
[10,6] |
$23^{20}\cdot 47^{2}$ |
$2$ |
$24.5438841614$ |
$118.57232216797493$ |
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$10146146.0999$ |
| 22.10.379...009.2 |
$x^{22} - 2 x^{21} - 10 x^{20} + 30 x^{19} + 20 x^{18} - 150 x^{17} + 9 x^{16} + 368 x^{15} + 116 x^{14} - 520 x^{13} - 753 x^{12} + 353 x^{11} + 1135 x^{10} + 407 x^{9} - 467 x^{8} - 1035 x^{7} - 43 x^{6} + 309 x^{5} + 310 x^{4} + 160 x^{3} - 227 x^{2} - 59 x + 47$ |
$22$ |
[10,6] |
$23^{20}\cdot 47^{2}$ |
$2$ |
$24.5438841614$ |
$118.57232216797493$ |
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$10678633.8472$ |
| 22.10.237...576.1 |
$x^{22} + x^{20} - 6 x^{18} - 5 x^{16} + 10 x^{14} + 8 x^{12} - 5 x^{8} - 10 x^{6} + 2 x^{4} + 4 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2}$ |
$5$ |
$29.6245630228$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$88731022.65$ |
| 22.10.128...496.1 |
$x^{22} - 3 x^{20} - x^{18} + 7 x^{16} - 2 x^{14} + 4 x^{12} - 2 x^{10} - 16 x^{8} + 4 x^{6} + 9 x^{4} - x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 17524013040643^{2}$ |
$2$ |
$31.9887068235$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$181111100.184$ |
| 22.10.409...729.1 |
$x^{22} - 4 x^{21} - 7 x^{20} + 51 x^{19} - 66 x^{18} - 127 x^{17} + 255 x^{16} + 429 x^{15} - 934 x^{14} - 1094 x^{13} + 2996 x^{12} - 93 x^{11} - 5194 x^{10} - 3466 x^{9} + 9862 x^{8} + 3976 x^{7} - 11948 x^{6} - 2532 x^{5} + 6218 x^{4} + 3280 x^{3} + 565 x^{2} + 40 x + 1$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$345465500.198$ |
| 22.10.409...729.2 |
$x^{22} - 2 x^{21} + 4 x^{20} - 31 x^{19} + 16 x^{18} - 9 x^{17} + 271 x^{16} + 378 x^{15} - 1469 x^{14} - 6 x^{13} - 3622 x^{12} + 12005 x^{11} + 853 x^{10} - 21762 x^{9} + 26642 x^{8} - 55561 x^{7} + 72873 x^{6} + 1477 x^{5} - 82097 x^{4} + 74034 x^{3} - 28997 x^{2} + 5416 x - 367$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$338850726.154$ |
| 22.10.409...729.3 |
$x^{22} - 2 x^{21} + 4 x^{20} - 8 x^{19} - 30 x^{18} + 14 x^{17} - 166 x^{16} - 59 x^{15} - 135 x^{14} - 650 x^{13} + 196 x^{12} + 68 x^{11} + 1428 x^{10} + 4895 x^{9} + 8081 x^{8} + 8908 x^{7} + 10658 x^{6} + 7273 x^{5} - 1252 x^{4} - 1429 x^{3} + 121 x^{2} + 34 x + 1$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$297447714.815$ |
| 22.10.409...729.4 |
$x^{22} - 4 x^{21} - 7 x^{20} + 51 x^{19} - 66 x^{18} - 12 x^{17} + 232 x^{16} - 859 x^{15} + 2125 x^{14} - 4636 x^{13} + 4698 x^{12} + 14121 x^{11} - 59796 x^{10} + 97872 x^{9} - 63140 x^{8} - 96327 x^{7} + 342689 x^{6} - 501195 x^{5} + 415894 x^{4} - 177615 x^{3} + 22323 x^{2} + 2961 x + 47$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$320060666.813$ |
| 22.10.409...729.5 |
$x^{22} - 9 x^{21} + 35 x^{20} - 62 x^{19} - 17 x^{18} + 429 x^{17} - 1469 x^{16} + 2710 x^{15} - 1068 x^{14} - 8995 x^{13} + 24766 x^{12} - 21230 x^{11} - 17678 x^{10} + 54245 x^{9} - 48721 x^{8} + 10505 x^{7} + 21927 x^{6} - 21117 x^{5} + 10009 x^{4} - 3601 x^{3} + 1290 x^{2} - 800 x + 139$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$349912271.201$ |
| 22.10.409...729.6 |
$x^{22} - 8 x^{21} + 18 x^{20} + 17 x^{19} - 113 x^{18} + 30 x^{17} + 335 x^{16} + 218 x^{15} - 3607 x^{14} + 9536 x^{13} - 14993 x^{12} + 19365 x^{11} - 31525 x^{10} + 66337 x^{9} - 124953 x^{8} + 178846 x^{7} - 184444 x^{6} + 124670 x^{5} - 38191 x^{4} - 12470 x^{3} + 14913 x^{2} - 4212 x + 277$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$343593724.102$ |
| 22.10.409...729.7 |
$x^{22} - 5 x^{21} + 2 x^{20} + 36 x^{19} - 157 x^{18} + 302 x^{17} + 31 x^{16} - 431 x^{15} - 145 x^{14} - 126 x^{13} - 106 x^{12} - 3955 x^{11} + 10115 x^{10} + 5177 x^{9} - 3345 x^{8} - 7080 x^{7} + 9157 x^{6} - 14850 x^{5} - 37415 x^{4} + 1350 x^{3} + 12892 x^{2} + 1090 x - 229$ |
$22$ |
[10,6] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$355171257.143$ |
| 22.10.719...104.1 |
$x^{22} + x^{20} - 33 x^{18} - 55 x^{16} + 243 x^{14} + 373 x^{12} - 608 x^{10} - 633 x^{8} + 334 x^{6} + 222 x^{4} + 17 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$460738076.984$ |
| 22.10.719...104.2 |
$x^{22} - 11 x^{20} + 9 x^{18} + 180 x^{16} - 153 x^{14} - 945 x^{12} - 550 x^{10} + 245 x^{8} + 165 x^{6} - 9 x^{4} - 12 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$550392576.427$ |
| 22.10.719...104.3 |
$x^{22} + 2 x^{20} - 17 x^{18} - 26 x^{16} + 93 x^{14} + 114 x^{12} - 157 x^{10} - 202 x^{8} + 13 x^{6} + 44 x^{4} - 3 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$425939887.407$ |
| 22.10.719...104.4 |
$x^{22} + 8 x^{20} - 19 x^{18} - 215 x^{16} - 66 x^{14} + 1115 x^{12} + 905 x^{10} - 282 x^{8} - 205 x^{6} + 43 x^{4} + 5 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$470025358.505$ |
| 22.10.719...104.5 |
$x^{22} + 9 x^{20} + 18 x^{18} - 29 x^{16} - 83 x^{14} + 40 x^{12} + 108 x^{10} - 25 x^{8} - 51 x^{6} + 7 x^{4} + 7 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$420318143.254$ |
| 22.10.719...104.6 |
$x^{22} + 2 x^{20} - 17 x^{18} - 26 x^{16} + 93 x^{14} + 91 x^{12} - 180 x^{10} - 87 x^{8} + 59 x^{6} + 21 x^{4} - 3 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$472033930.885$ |
| 22.10.719...104.7 |
$x^{22} + 4 x^{20} - 22 x^{18} - 70 x^{16} + 108 x^{14} + 198 x^{12} - 250 x^{10} - 73 x^{8} + 108 x^{6} + 11 x^{4} - 13 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$436952227.13$ |
| 22.10.719...104.8 |
$x^{22} + 8 x^{20} + 4 x^{18} - 54 x^{16} - 20 x^{14} + 103 x^{12} + 31 x^{10} - 75 x^{8} - 21 x^{6} + 20 x^{4} + 5 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$471956139.939$ |
| 22.10.719...104.9 |
$x^{22} + 8 x^{20} + 4 x^{18} - 100 x^{16} - 181 x^{14} + 287 x^{12} + 767 x^{10} + 132 x^{8} - 274 x^{6} + 43 x^{4} + 5 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$500318135.958$ |
| 22.10.719...104.10 |
$x^{22} + 3 x^{20} - 44 x^{18} - 59 x^{16} + 409 x^{14} + 318 x^{12} - 965 x^{10} - 415 x^{8} + 417 x^{6} + 109 x^{4} - 2 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$459926060.533$ |
| 22.10.719...104.11 |
$x^{22} + 4 x^{20} - 22 x^{18} - 93 x^{16} + 131 x^{14} + 589 x^{12} - 411 x^{10} - 1384 x^{8} + 821 x^{6} + 885 x^{4} - 473 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{20}$ |
$2$ |
$34.59110152983455$ |
|
|
|
? |
$C_2^{10}:C_{11}$ (as 22T23) |
trivial |
$2$ |
$15$ |
$441972416.1599637$ |
| 22.10.127...624.1 |
$x^{22} + 4 x^{20} - 4 x^{18} - 31 x^{16} - 8 x^{14} + 81 x^{12} + 48 x^{10} - 88 x^{8} - 60 x^{6} + 35 x^{4} + 22 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 55029067682009^{2}$ |
$2$ |
$35.495617601$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$513315796.771$ |
| 22.10.127...624.2 |
$x^{22} + 7 x^{20} + 11 x^{18} - 20 x^{16} - 54 x^{14} + 17 x^{12} + 80 x^{10} - 11 x^{8} - 43 x^{6} + 9 x^{4} + 5 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 55029067682009^{2}$ |
$2$ |
$35.495617601$ |
|
|
|
✓ |
$C_2^{10}.S_{11}$ (as 22T51) |
trivial |
$2$ |
$15$ |
$644486533.056$ |
| 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 |
$2$ |
$15$ |
$1351543404.27$ |
| 22.10.174...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 |
$2$ |
$15$ |
$652104039.092$ |
| 22.10.165...392.1 |
$x^{22} - 92 x^{18} + 69 x^{16} + 1702 x^{14} - 1748 x^{12} - 7429 x^{10} + 3634 x^{8} + 7590 x^{6} + 2645 x^{4} + 184 x^{2} - 23$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$2062205538.12$ |
| 22.10.165...392.2 |
$x^{22} + 23 x^{20} + 161 x^{18} + 368 x^{16} - 207 x^{14} - 1472 x^{12} - 207 x^{10} + 2001 x^{8} + 23 x^{6} - 966 x^{4} + 299 x^{2} - 23$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$2670407215.84$ |
| 22.10.165...392.3 |
$x^{22} - 46 x^{18} - 92 x^{16} + 299 x^{14} + 713 x^{12} - 575 x^{10} - 1495 x^{8} + 368 x^{6} + 759 x^{4} - 138 x^{2} - 23$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$2084916640.61$ |
| 22.10.165...392.4 |
$x^{22} - 46 x^{18} + 69 x^{16} + 299 x^{14} - 253 x^{12} - 598 x^{10} + 253 x^{8} + 483 x^{6} - 46 x^{4} - 138 x^{2} - 23$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$2057334437.22$ |
| 22.10.165...392.5 |
$x^{22} - 69 x^{18} + 115 x^{16} + 736 x^{14} - 667 x^{12} - 2415 x^{10} + 644 x^{8} + 2277 x^{6} + 529 x^{4} - 161 x^{2} - 23$ |
$22$ |
[10,6] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$15$ |
$1918791735.05$ |
| 22.10.226...241.1 |
$x^{22} - 2 x^{21} - 21 x^{20} + 53 x^{19} - 10 x^{18} + 194 x^{17} - 407 x^{16} - 1527 x^{15} + 6220 x^{14} - 4654 x^{13} - 629 x^{12} - 17002 x^{11} + 27165 x^{10} + 61220 x^{9} - 186927 x^{8} + 181221 x^{7} - 68565 x^{6} - 17301 x^{5} + 21983 x^{4} + 305 x^{3} - 3623 x^{2} + 368 x + 89$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$30955874600.7$ |
| 22.10.226...241.2 |
$x^{22} - x^{21} - 15 x^{20} + 49 x^{19} + 44 x^{18} - 485 x^{17} + 631 x^{16} + 1475 x^{15} - 5443 x^{14} + 3138 x^{13} + 10542 x^{12} - 20731 x^{11} + 9385 x^{10} - 1329 x^{9} + 26060 x^{8} - 12671 x^{7} - 46031 x^{6} + 81808 x^{5} - 90460 x^{4} + 26591 x^{3} + 21718 x^{2} - 4276 x - 289$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
$[2]$ |
$2$ |
$15$ |
$20883851271.8$ |
| 22.10.226...241.3 |
$x^{22} - x^{21} - x^{20} + 60 x^{19} - 104 x^{18} - 389 x^{17} + 930 x^{16} + 1131 x^{15} - 4806 x^{14} - 200 x^{13} + 14407 x^{12} - 16040 x^{11} - 4755 x^{10} + 43121 x^{9} - 59207 x^{8} - 13398 x^{7} + 79635 x^{6} - 16708 x^{5} - 39710 x^{4} - 1394 x^{3} + 28884 x^{2} - 12840 x + 1343$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$35822153523.8$ |
| 22.10.226...241.4 |
$x^{22} - 35 x^{20} - 72 x^{19} + 349 x^{18} + 1479 x^{17} + 303 x^{16} - 6784 x^{15} - 5684 x^{14} + 33196 x^{13} + 87806 x^{12} + 64287 x^{11} - 46217 x^{10} - 105124 x^{9} - 72109 x^{8} - 28967 x^{7} + 30762 x^{6} + 56113 x^{5} - 4944 x^{4} - 27192 x^{3} - 1892 x^{2} + 3210 x + 509$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$45272687172.7$ |
| 22.10.226...241.5 |
$x^{22} - 5 x^{21} + 6 x^{20} + 16 x^{19} - 102 x^{18} + 158 x^{17} + 126 x^{16} - 120 x^{15} + 3303 x^{14} - 15009 x^{13} - 7047 x^{12} + 123140 x^{11} - 153297 x^{10} - 373493 x^{9} + 984859 x^{8} + 258716 x^{7} - 2326169 x^{6} + 706632 x^{5} + 2505600 x^{4} - 1023169 x^{3} - 1195624 x^{2} + 155028 x + 13045$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$36620289558.3$ |
| 22.10.226...241.6 |
$x^{22} - 5 x^{21} + x^{20} + 45 x^{19} - 310 x^{18} + 927 x^{17} - 1531 x^{16} + 1204 x^{15} + 2550 x^{14} - 9408 x^{13} + 18565 x^{12} - 24332 x^{11} + 23469 x^{10} + 9560 x^{9} - 46190 x^{8} + 69717 x^{7} - 91965 x^{6} + 67098 x^{5} - 36153 x^{4} + 9787 x^{3} + 1002 x^{2} - 474 x - 25$ |
$22$ |
[10,6] |
$1297^{12}$ |
$1$ |
$49.8846879289$ |
$216.12498794754728$ |
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
$[2]$ |
$2$ |
$15$ |
$26707131873.9$ |
| 22.10.241...104.1 |
$x^{22} - 11 x^{20} + 33 x^{18} - 11 x^{16} - 22 x^{14} - 22 x^{12} - 80 x^{11} - 22 x^{10} - 22 x^{8} - 11 x^{6} + 33 x^{4} - 11 x^{2} + 1$ |
$22$ |
[10,6] |
$2^{20}\cdot 7^{10}\cdot 11^{22}$ |
$3$ |
$50.0255405753$ |
$66.49824652345667$ |
|
|
? |
$C_2^{10}.F_{11}$ (as 22T34) |
trivial |
$2$ |
$15$ |
$636267844897$ |
| 22.10.565...896.1 |
$x^{22} - 5 x^{20} - 97 x^{18} - 162 x^{16} + 392 x^{14} + 639 x^{12} - 299 x^{10} - 637 x^{8} - 27 x^{6} + 178 x^{4} + 43 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$44489140059.3$ |
| 22.10.565...896.2 |
$x^{22} - 2 x^{20} - 56 x^{18} + 245 x^{16} + 126 x^{14} - 1903 x^{12} + 1997 x^{10} + 1141 x^{8} - 1026 x^{6} - 464 x^{4} - 41 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$101394162831$ |
| 22.10.565...896.3 |
$x^{22} + 3 x^{20} - 62 x^{18} - 30 x^{16} + 1121 x^{14} - 1695 x^{12} - 1287 x^{10} + 2870 x^{8} - 170 x^{6} - 456 x^{4} - 65 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$47420479596.4$ |
| 22.10.565...896.4 |
$x^{22} + 4 x^{20} - 69 x^{18} - 366 x^{16} + 420 x^{14} + 3456 x^{12} + 424 x^{10} - 3247 x^{8} - 1390 x^{6} - 35 x^{4} + 28 x^{2} - 1$ |
$22$ |
[10,6] |
$2^{22}\cdot 1297^{10}$ |
$2$ |
$51.9999243795$ |
|
|
|
? |
$C_2^{10}.D_{11}$ (as 22T30) |
trivial |
$2$ |
$15$ |
$83582822267.7$ |
