| 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 |
| 22.8.806...447.1 |
$x^{22} - 9 x^{21} + 29 x^{20} - 38 x^{19} - 4 x^{18} + 86 x^{17} - 143 x^{16} + 138 x^{15} - 79 x^{14} - 37 x^{13} + 184 x^{12} - 257 x^{11} + 184 x^{10} - 37 x^{9} - 79 x^{8} + 138 x^{7} - 143 x^{6} + 86 x^{5} - 4 x^{4} - 38 x^{3} + 29 x^{2} - 9 x + 1$ |
$22$ |
[8,7] |
$-\,23^{20}\cdot 47$ |
$2$ |
$20.6033976441$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$918526.809002$ |
| 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 |
$2$ |
$17$ |
$16297198.7643$ |
| 22.12.871...207.1 |
$x^{22} - 4 x^{21} - 7 x^{20} + 74 x^{19} - 135 x^{18} - 196 x^{17} + 1152 x^{16} - 1457 x^{15} - 1072 x^{14} + 5185 x^{13} - 5192 x^{12} - 461 x^{11} + 5455 x^{10} - 5559 x^{9} + 2042 x^{8} + 1469 x^{7} + 196 x^{6} - 5039 x^{5} + 4907 x^{4} - 446 x^{3} - 1666 x^{2} + 891 x - 137$ |
$22$ |
[12,5] |
$-\,23^{21}\cdot 47^{2}$ |
$2$ |
$28.3034914521$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$78962808.6369$ |
| 22.16.871...207.1 |
$x^{22} - 8 x^{21} + 18 x^{20} + 40 x^{19} - 297 x^{18} + 513 x^{17} + 450 x^{16} - 3255 x^{15} + 4443 x^{14} + 2314 x^{13} - 13613 x^{12} + 11338 x^{11} + 9530 x^{10} - 21040 x^{9} + 5227 x^{8} + 11912 x^{7} - 8172 x^{6} - 1577 x^{5} + 2749 x^{4} - 372 x^{3} - 267 x^{2} + 66 x + 1$ |
$22$ |
[16,3] |
$-\,23^{21}\cdot 47^{2}$ |
$2$ |
$28.3034914521$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$18$ |
$177605096.839$ |
| 22.8.871...207.1 |
$x^{22} - x^{21} + x^{20} - x^{19} - 22 x^{18} + 22 x^{17} - 91 x^{16} + 68 x^{15} - 229 x^{14} - 162 x^{13} + 484 x^{12} - 1105 x^{11} + 852 x^{10} - 461 x^{9} - 114 x^{8} + 1264 x^{7} - 735 x^{6} + 574 x^{5} + 622 x^{4} + 298 x^{3} - 459 x^{2} - 162 x + 47$ |
$22$ |
[8,7] |
$-\,23^{21}\cdot 47^{2}$ |
$2$ |
$28.3034914521$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$28009585.914$ |
| 22.12.871...207.2 |
$x^{22} - 3 x^{21} - 14 x^{20} + 65 x^{19} + 12 x^{18} - 404 x^{17} + 384 x^{16} + 1079 x^{15} - 1857 x^{14} - 1536 x^{13} + 4746 x^{12} + 574 x^{11} - 8668 x^{10} + 4752 x^{9} + 8353 x^{8} - 11765 x^{7} + 174 x^{6} + 9989 x^{5} - 6254 x^{4} - 2191 x^{3} + 3353 x^{2} - 560 x - 229$ |
$22$ |
[12,5] |
$-\,23^{21}\cdot 47^{2}$ |
$2$ |
$28.3034914521$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$73339658.3874$ |
| 22.8.871...207.2 |
$x^{22} - 4 x^{21} - 7 x^{20} + 51 x^{19} - 43 x^{18} - 150 x^{17} + 416 x^{16} - 192 x^{15} - 1256 x^{14} + 1988 x^{13} + 2076 x^{12} - 5521 x^{11} - 1238 x^{10} + 8241 x^{9} - 2466 x^{8} - 6627 x^{7} + 5601 x^{6} + 2988 x^{5} - 5397 x^{4} + 566 x^{3} + 3417 x^{2} - 2306 x - 1609$ |
$22$ |
[8,7] |
$-\,23^{21}\cdot 47^{2}$ |
$2$ |
$28.3034914521$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$27806400.2764$ |
| 22.12.178...423.1 |
$x^{22} - x^{21} + 8 x^{20} + x^{19} - 10 x^{18} + 79 x^{17} - 234 x^{16} + 293 x^{15} - 293 x^{14} - 441 x^{13} + 1283 x^{12} - 1700 x^{11} + 1629 x^{10} + 2222 x^{9} - 4511 x^{8} - 315 x^{7} + 2661 x^{6} - 55 x^{5} - 669 x^{4} - 21 x^{3} + 68 x^{2} + 7 x - 1$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$106236735.142$ |
| 22.16.178...423.1 |
$x^{22} - 11 x^{21} + 51 x^{20} - 125 x^{19} + 128 x^{18} + 216 x^{17} - 1077 x^{16} + 1782 x^{15} - 804 x^{14} - 2284 x^{13} + 4953 x^{12} - 3588 x^{11} - 1546 x^{10} + 5279 x^{9} - 3904 x^{8} - 185 x^{7} + 2226 x^{6} - 1217 x^{5} - 74 x^{4} + 213 x^{3} - 24 x^{2} - 10 x + 1$ |
$22$ |
[16,3] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$18$ |
$238425084.122$ |
| 22.4.178...423.1 |
$x^{22} - 3 x^{21} - 4 x^{20} + 21 x^{19} - 34 x^{18} - 64 x^{17} + 209 x^{16} - 79 x^{15} - 626 x^{14} + 986 x^{13} + 469 x^{12} - 2461 x^{11} + 890 x^{10} + 2535 x^{9} - 360 x^{8} - 4500 x^{7} - 1390 x^{6} + 7497 x^{5} - 2384 x^{4} - 6847 x^{3} + 1939 x^{2} + 3881 x - 2897$ |
$22$ |
[4,9] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$12$ |
$18036839.011$ |
| 22.8.178...423.1 |
$x^{22} - 2 x^{21} - 14 x^{20} + 31 x^{19} + 70 x^{18} - 232 x^{17} - 279 x^{16} + 727 x^{15} + 777 x^{14} - 691 x^{13} - 405 x^{12} + 301 x^{11} - 1802 x^{10} - 2957 x^{9} + 1747 x^{8} + 4390 x^{7} + 52 x^{6} - 990 x^{5} - 739 x^{4} - 86 x^{3} + 40 x^{2} + 61 x - 47$ |
$22$ |
[8,7] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$44250455.5687$ |
| 22.12.178...423.2 |
$x^{22} - 9 x^{21} + 23 x^{20} + 32 x^{19} - 251 x^{18} + 219 x^{17} + 915 x^{16} - 1739 x^{15} - 1820 x^{14} + 6548 x^{13} + 969 x^{12} - 16878 x^{11} + 9906 x^{10} + 22070 x^{9} - 29522 x^{8} - 3288 x^{7} + 25694 x^{6} - 12946 x^{5} - 3524 x^{4} + 4687 x^{3} - 1081 x^{2} - 6 x + 1$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$109815062.576$ |
| 22.16.178...423.2 |
$x^{22} - 4 x^{21} - 9 x^{20} + 52 x^{19} + x^{18} - 163 x^{17} - 117 x^{16} + 266 x^{15} + 1582 x^{14} - 1236 x^{13} - 6092 x^{12} + 5618 x^{11} + 10042 x^{10} - 10618 x^{9} - 7547 x^{8} + 8528 x^{7} + 2464 x^{6} - 2769 x^{5} - 255 x^{4} + 289 x^{3} + 24 x^{2} - 9 x - 1$ |
$22$ |
[16,3] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$18$ |
$245612379.311$ |
| 22.12.178...423.3 |
$x^{22} - 8 x^{21} + 12 x^{20} + 46 x^{19} - 109 x^{18} - 114 x^{17} + 165 x^{16} + 756 x^{15} + 9 x^{14} - 3299 x^{13} - 666 x^{12} + 8067 x^{11} + 4331 x^{10} - 16061 x^{9} - 4342 x^{8} + 13658 x^{7} + 3196 x^{6} - 4458 x^{5} - 1074 x^{4} + 552 x^{3} + 42 x^{2} - 12 x - 1$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$106197776.635$ |
| 22.16.178...423.3 |
$x^{22} - 5 x^{21} - 11 x^{20} + 93 x^{19} - 25 x^{18} - 607 x^{17} + 616 x^{16} + 2224 x^{15} - 4041 x^{14} - 2772 x^{13} + 11203 x^{12} - 4782 x^{11} - 11283 x^{10} + 14512 x^{9} - 1218 x^{8} - 9343 x^{7} + 6225 x^{6} + 273 x^{5} - 1230 x^{4} + 85 x^{3} + 86 x^{2} + x - 1$ |
$22$ |
[16,3] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$18$ |
$262731486.109$ |
| 22.12.178...423.4 |
$x^{22} - 5 x^{21} - 10 x^{20} + 78 x^{19} + 30 x^{18} - 586 x^{17} + 91 x^{16} + 3136 x^{15} - 3117 x^{14} - 7084 x^{13} + 12319 x^{12} + 6022 x^{11} - 23809 x^{10} + 9384 x^{9} + 15063 x^{8} - 18488 x^{7} + 10061 x^{6} - 2016 x^{5} - 5851 x^{4} + 8564 x^{3} - 4987 x^{2} + 1340 x - 137$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$102536895.286$ |
| 22.12.178...423.5 |
$x^{22} - 7 x^{21} + 10 x^{20} + 16 x^{19} - 10 x^{18} - 184 x^{17} + 468 x^{16} - 58 x^{15} - 1272 x^{14} + 816 x^{13} + 2227 x^{12} - 2216 x^{11} - 2463 x^{10} + 2895 x^{9} + 2624 x^{8} - 1329 x^{7} - 2547 x^{6} - 368 x^{5} + 990 x^{4} + 174 x^{3} - 144 x^{2} + 9 x + 1$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$88229828.8508$ |
| 22.12.178...423.6 |
$x^{22} - 10 x^{21} + 42 x^{20} - 88 x^{19} + 26 x^{18} + 460 x^{17} - 1667 x^{16} + 3076 x^{15} - 2650 x^{14} - 1948 x^{13} + 9671 x^{12} - 13923 x^{11} + 7597 x^{10} + 7283 x^{9} - 18181 x^{8} + 15029 x^{7} - 2411 x^{6} - 6693 x^{5} + 6866 x^{4} - 3122 x^{3} + 705 x^{2} - 65 x + 1$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$88859950.687$ |
| 22.12.178...423.7 |
$x^{22} - 7 x^{21} + 8 x^{20} + 58 x^{19} - 243 x^{18} + 346 x^{17} + 333 x^{16} - 2299 x^{15} + 3786 x^{14} - 920 x^{13} - 7580 x^{12} + 14118 x^{11} - 5659 x^{10} - 17342 x^{9} + 33608 x^{8} - 19265 x^{7} - 19737 x^{6} + 44371 x^{5} - 35838 x^{4} + 14864 x^{3} - 2259 x^{2} - 482 x + 139$ |
$22$ |
[12,5] |
$-\,23^{20}\cdot 47^{3}$ |
$2$ |
$29.2380053103$ |
$118.57232216797493$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$109627633.006$ |
| 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 |
$2$ |
$15$ |
$345465500.198$ |
| 22.14.409...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 |
$2$ |
$17$ |
$785042011.806$ |
| 22.18.409...729.1 |
$x^{22} - 3 x^{21} - 14 x^{20} + 42 x^{19} + 35 x^{18} - 82 x^{17} - 76 x^{16} - 508 x^{15} + 1938 x^{14} - 984 x^{13} - 5144 x^{12} + 9774 x^{11} + 1291 x^{10} - 17627 x^{9} + 8445 x^{8} + 12822 x^{7} - 10291 x^{6} - 3443 x^{5} + 4487 x^{4} - 121 x^{3} - 672 x^{2} + 130 x + 1$ |
$22$ |
[18,2] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$19$ |
$1999453068.78$ |
| 22.6.409...729.1 |
$x^{22} - x^{21} + x^{20} - x^{19} - 22 x^{18} - x^{17} - 114 x^{16} + 160 x^{15} - 22 x^{14} + 390 x^{13} + 806 x^{12} + 712 x^{11} + 1174 x^{10} - 5015 x^{9} - 2690 x^{8} - 5866 x^{7} + 10213 x^{6} - 2646 x^{5} + 2232 x^{4} - 12927 x^{3} + 6786 x^{2} - 806 x + 47$ |
$22$ |
[6,8] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$13$ |
$123704206.751$ |
| 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 |
$2$ |
$15$ |
$338850726.154$ |
| 22.14.409...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 |
$2$ |
$17$ |
$903801457.7$ |
| 22.6.409...729.2 |
$x^{22} - 5 x^{21} + 2 x^{20} + 36 x^{19} - 111 x^{18} + 141 x^{17} - 107 x^{16} + 558 x^{15} - 1962 x^{14} + 3577 x^{13} - 3027 x^{12} - 2023 x^{11} + 17912 x^{10} - 42755 x^{9} + 54822 x^{8} - 37877 x^{7} + 18311 x^{6} - 12826 x^{5} + 673 x^{4} + 3420 x^{3} + 4336 x^{2} - 3280 x + 47$ |
$22$ |
[6,8] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
$[2]$ |
$2$ |
$13$ |
$76447219.2916$ |
| 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 |
$2$ |
$15$ |
$297447714.815$ |
| 22.6.409...729.3 |
$x^{22} - 5 x^{21} + 2 x^{20} + 36 x^{19} - 88 x^{18} + 95 x^{17} - 15 x^{16} - 224 x^{15} + 108 x^{14} + 58 x^{13} + 1642 x^{12} - 5082 x^{11} + 6435 x^{10} + 1474 x^{9} - 21998 x^{8} + 40783 x^{7} - 25274 x^{6} - 17265 x^{5} + 57828 x^{4} - 81220 x^{3} + 54660 x^{2} - 19173 x + 7499$ |
$22$ |
[6,8] |
$23^{21}\cdot 47^{3}$ |
$2$ |
$33.7166533192$ |
$136.73511025656717$ |
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$13$ |
$132400558.372$ |
| 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 |
$2$ |
$15$ |
$355171257.143$ |
| 22.12.719...104.1 |
$x^{22} - 2 x^{20} - 17 x^{18} + 26 x^{16} + 93 x^{14} - 91 x^{12} - 180 x^{10} + 87 x^{8} + 59 x^{6} - 21 x^{4} - 3 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$588023297.972$ |
| 22.20.719...104.1 |
$x^{22} - 24 x^{20} + 220 x^{18} - 980 x^{16} + 2267 x^{14} - 2696 x^{12} + 1324 x^{10} + 265 x^{8} - 563 x^{6} + 215 x^{4} - 29 x^{2} + 1$ |
$22$ |
[20,1] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$20$ |
$3758789855.24$ |
| 22.8.719...104.1 |
$x^{22} + 7 x^{20} - 7 x^{18} - 166 x^{16} - 458 x^{14} - 375 x^{12} + 144 x^{10} + 285 x^{8} + 29 x^{6} - 51 x^{4} - 9 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$279947596.769$ |
| 22.4.719...104.1 |
$x^{22} + 17 x^{20} + 100 x^{18} + 265 x^{16} + 265 x^{14} - 217 x^{12} - 833 x^{10} - 861 x^{8} - 405 x^{6} - 79 x^{4} - x^{2} + 1$ |
$22$ |
[4,9] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
✓ |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$12$ |
$116519071.103$ |
| 22.12.719...104.2 |
$x^{22} - x^{20} - 33 x^{18} + 55 x^{16} + 243 x^{14} - 373 x^{12} - 608 x^{10} + 633 x^{8} + 334 x^{6} - 222 x^{4} + 17 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$588807418.876$ |
| 22.8.719...104.2 |
$x^{22} + 10 x^{20} + 35 x^{18} + 39 x^{16} - 42 x^{14} - 112 x^{12} - 14 x^{10} + 85 x^{8} + 24 x^{6} - 22 x^{4} - 4 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
✓ |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$284715946.713$ |
| 22.12.719...104.3 |
$x^{22} + 7 x^{20} - 7 x^{18} - 97 x^{16} + 48 x^{14} + 476 x^{12} - 454 x^{10} - 704 x^{8} + 1317 x^{6} - 718 x^{4} + 129 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$517827478.504$ |
| 22.8.719...104.3 |
$x^{22} + 5 x^{20} - 20 x^{18} - 113 x^{16} + 75 x^{14} + 721 x^{12} + 196 x^{10} - 1492 x^{8} - 981 x^{6} + 372 x^{4} + 84 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$260618630.211$ |
| 22.8.719...104.4 |
$x^{22} - 4 x^{20} - 45 x^{18} - 45 x^{16} + 223 x^{14} + 469 x^{12} + 26 x^{10} - 571 x^{8} - 421 x^{6} - 34 x^{4} + 33 x^{2} + 1$ |
$22$ |
[8,7] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.5911015298$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$14$ |
$245941420.248$ |
| 22.12.719...104.4 |
$x^{22} - 4 x^{20} - 22 x^{18} + 93 x^{16} + 131 x^{14} - 589 x^{12} - 411 x^{10} + 1384 x^{8} + 821 x^{6} - 885 x^{4} - 473 x^{2} + 1$ |
$22$ |
[12,5] |
$-\,2^{22}\cdot 23^{20}$ |
$2$ |
$34.59110152983455$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$16$ |
$682683579.3421679$ |
| 22.2.130...989.1 |
$x^{22} - 11 x^{21} + 78 x^{20} - 395 x^{19} + 1595 x^{18} - 5292 x^{17} + 14883 x^{16} - 35934 x^{15} + 75375 x^{14} - 138055 x^{13} + 221616 x^{12} - 311835 x^{11} + 383985 x^{10} - 411930 x^{9} + 382260 x^{8} - 303600 x^{7} + 203205 x^{6} - 112125 x^{5} + 49335 x^{4} - 16445 x^{3} + 3795 x^{2} - 506 x + 23$ |
$22$ |
[2,10] |
$23^{20}\cdot 7621189$ |
$2$ |
$35.5429615275$ |
$47746.96402819581$ |
|
|
✓ |
$C_{15}\times C_{420}$ (as 22T28) |
$[3]$ |
$2$ |
$11$ |
$32103137.4514$ |
| 22.20.165...392.1 |
$x^{22} - 23 x^{20} + 207 x^{18} - 897 x^{16} + 1679 x^{14} + 483 x^{12} - 7636 x^{10} + 13041 x^{8} - 9660 x^{6} + 3312 x^{4} - 483 x^{2} + 23$ |
$22$ |
[20,1] |
$-\,2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$20$ |
$20563977553.4$ |
| 22.16.165...392.1 |
$x^{22} - 46 x^{18} + 92 x^{16} + 529 x^{14} - 2070 x^{12} + 966 x^{10} + 6141 x^{8} - 12213 x^{6} + 9039 x^{4} - 2461 x^{2} + 23$ |
$22$ |
[16,3] |
$-\,2^{22}\cdot 23^{21}$ |
$2$ |
$39.88973139007569$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$18$ |
$9045022668.50669$ |
| 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 |
$2$ |
$17$ |
$4615526744.67$ |
| 22.18.165...392.1 |
$x^{22} - 23 x^{20} + 184 x^{18} - 598 x^{16} + 437 x^{14} + 1840 x^{12} - 4324 x^{10} + 2875 x^{8} + 253 x^{6} - 828 x^{4} + 253 x^{2} - 23$ |
$22$ |
[18,2] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$19$ |
$12568639506.3$ |
| 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 |
$2$ |
$15$ |
$2062205538.12$ |
| 22.2.165...392.1 |
$x^{22} + 23 x^{20} + 207 x^{18} + 897 x^{16} + 1679 x^{14} - 483 x^{12} - 7636 x^{10} - 13041 x^{8} - 9660 x^{6} - 3312 x^{4} - 483 x^{2} - 23$ |
$22$ |
[2,10] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$11$ |
$318324911.572$ |
| 22.6.165...392.1 |
$x^{22} - 46 x^{18} - 69 x^{16} + 529 x^{14} + 1242 x^{12} - 1196 x^{10} - 5336 x^{8} - 4922 x^{6} - 1932 x^{4} - 345 x^{2} - 23$ |
$22$ |
[6,8] |
$2^{22}\cdot 23^{21}$ |
$2$ |
$39.8897313901$ |
|
|
|
? |
$C_{15}\times C_{420}$ (as 22T28) |
trivial |
$2$ |
$13$ |
$797145799.796$ |
