| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 20.12.165...848.1 |
$x^{20} - 28 x^{18} + 270 x^{16} - 1304 x^{14} + 4460 x^{12} - 13616 x^{10} + 32512 x^{8} - 48608 x^{6} + 38800 x^{4} - 12608 x^{2} + 32$ |
$20$ |
[12,4] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$15$ |
$2573247003.36$ |
| 20.4.165...848.1 |
$x^{20} - 4 x^{18} - 12 x^{16} + 96 x^{14} - 156 x^{12} - 2048 x^{10} + 384 x^{8} + 5920 x^{6} - 1536 x^{4} + 448 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$440431752.985$ |
| 20.8.165...848.1 |
$x^{20} + 16 x^{18} + 94 x^{16} + 280 x^{14} - 116 x^{12} - 5696 x^{10} - 8320 x^{8} + 32000 x^{6} - 21040 x^{4} + 2880 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$881725069.329$ |
| 20.0.165...848.2 |
$x^{20} - 12 x^{18} + 4 x^{16} + 672 x^{14} - 4956 x^{12} + 17056 x^{10} - 31936 x^{8} + 35104 x^{6} - 33280 x^{4} + 30208 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$180062458.828$ |
| 20.12.165...848.2 |
$x^{20} - 16 x^{18} + 50 x^{16} + 72 x^{14} + 16 x^{12} - 112 x^{10} - 1896 x^{8} + 384 x^{6} + 3952 x^{4} - 2176 x^{2} + 32$ |
$20$ |
[12,4] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$15$ |
$2114698302.89$ |
| 20.4.165...848.2 |
$x^{20} + 12 x^{18} + 2 x^{16} - 40 x^{14} - 448 x^{12} - 944 x^{10} + 5464 x^{8} + 3040 x^{6} - 17360 x^{4} + 7360 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$439981773.821$ |
| 20.8.165...848.2 |
$x^{20} + 8 x^{18} - 26 x^{16} - 240 x^{14} + 12 x^{12} - 816 x^{10} - 4640 x^{8} + 11360 x^{6} + 4368 x^{4} - 4096 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$1024863892.73$ |
| 20.0.165...848.3 |
$x^{20} - 16 x^{18} + 94 x^{16} - 192 x^{14} - 292 x^{12} + 2352 x^{10} - 4360 x^{8} - 1728 x^{6} + 8352 x^{4} + 21760 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$157236007.623$ |
| 20.12.165...848.3 |
$x^{20} - 8 x^{18} - 34 x^{16} + 168 x^{14} + 1308 x^{12} - 7104 x^{10} + 12280 x^{8} - 9632 x^{6} + 3936 x^{4} - 640 x^{2} + 32$ |
$20$ |
[12,4] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$15$ |
$3071410000.35$ |
| 20.4.165...848.3 |
$x^{20} + 4 x^{18} - 34 x^{16} - 96 x^{14} + 284 x^{12} + 640 x^{10} + 1176 x^{8} - 2048 x^{6} - 10336 x^{4} - 6784 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$335169174.252$ |
| 20.8.165...848.3 |
$x^{20} - 12 x^{18} + 2 x^{16} + 40 x^{14} - 448 x^{12} + 944 x^{10} + 5464 x^{8} - 3040 x^{6} - 17360 x^{4} - 7360 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$828404900.213$ |
| 20.0.165...848.4 |
$x^{20} - 12 x^{18} + 24 x^{16} + 128 x^{14} - 96 x^{12} + 416 x^{10} - 2456 x^{8} + 6816 x^{6} - 5216 x^{4} - 9472 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$184254556.362$ |
| 20.12.165...848.4 |
$x^{20} - 20 x^{18} + 178 x^{16} - 928 x^{14} + 3120 x^{12} - 6976 x^{10} + 10264 x^{8} - 9408 x^{6} + 4720 x^{4} - 960 x^{2} + 32$ |
$20$ |
[12,4] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$15$ |
$3163225580.71$ |
| 20.4.165...848.4 |
$x^{20} + 12 x^{18} + 24 x^{16} - 128 x^{14} - 96 x^{12} - 416 x^{10} - 2456 x^{8} - 6816 x^{6} - 5216 x^{4} + 9472 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$367594234.843$ |
| 20.8.165...848.4 |
$x^{20} - 8 x^{18} - 48 x^{16} + 504 x^{14} - 912 x^{12} + 112 x^{10} + 3368 x^{8} - 9248 x^{6} + 9824 x^{4} - 3648 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$992908968.736$ |
| 20.0.165...848.5 |
$x^{20} + 16 x^{18} + 50 x^{16} - 72 x^{14} + 16 x^{12} + 112 x^{10} - 1896 x^{8} - 384 x^{6} + 3952 x^{4} + 2176 x^{2} + 32$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$155472313.663$ |
| 20.4.165...848.5 |
$x^{20} + 12 x^{18} + 4 x^{16} - 672 x^{14} - 4956 x^{12} - 17056 x^{10} - 31936 x^{8} - 35104 x^{6} - 33280 x^{4} - 30208 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$391563969.441$ |
| 20.8.165...848.5 |
$x^{20} - 4 x^{18} - 36 x^{16} + 120 x^{14} - 196 x^{12} + 2704 x^{10} - 6536 x^{8} + 17632 x^{6} - 22800 x^{4} + 1536 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$792714999.064$ |
| 20.0.165...848.6 |
$x^{20} + 16 x^{18} + 116 x^{16} + 368 x^{14} - 204 x^{12} - 3056 x^{10} + 2592 x^{8} + 7360 x^{6} - 11008 x^{4} + 12736 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$186356720.084$ |
| 20.4.165...848.6 |
$x^{20} + 8 x^{18} - 48 x^{16} - 504 x^{14} - 912 x^{12} - 112 x^{10} + 3368 x^{8} + 9248 x^{6} + 9824 x^{4} + 3648 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$340328003.536$ |
| 20.8.165...848.6 |
$x^{20} - 4 x^{18} - 34 x^{16} + 96 x^{14} + 284 x^{12} - 640 x^{10} + 1176 x^{8} + 2048 x^{6} - 10336 x^{4} + 6784 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$981958672.434$ |
| 20.0.165...848.7 |
$x^{20} + 28 x^{18} + 270 x^{16} + 1304 x^{14} + 4460 x^{12} + 13616 x^{10} + 32512 x^{8} + 48608 x^{6} + 38800 x^{4} + 12608 x^{2} + 32$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$144219756.631$ |
| 20.4.165...848.7 |
$x^{20} - 8 x^{18} - 26 x^{16} + 64 x^{14} + 364 x^{12} + 288 x^{10} - 1384 x^{8} - 5024 x^{6} + 2784 x^{4} + 9024 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$462392130.56$ |
| 20.8.165...848.7 |
$x^{20} + 8 x^{18} - 34 x^{16} - 256 x^{14} - 100 x^{12} + 1296 x^{10} + 1720 x^{8} - 5152 x^{6} + 3936 x^{4} - 768 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$1049098188.05$ |
| 20.0.165...848.8 |
$x^{20} + 8 x^{18} - 26 x^{16} - 64 x^{14} + 364 x^{12} - 288 x^{10} - 1384 x^{8} + 5024 x^{6} + 2784 x^{4} - 9024 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$157925713.077$ |
| 20.4.165...848.8 |
$x^{20} - 16 x^{18} + 94 x^{16} - 280 x^{14} - 116 x^{12} + 5696 x^{10} - 8320 x^{8} - 32000 x^{6} - 21040 x^{4} - 2880 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$460984620.387$ |
| 20.8.165...848.8 |
$x^{20} - 8 x^{18} - 56 x^{16} + 80 x^{14} + 736 x^{12} + 1168 x^{10} + 136 x^{8} - 1536 x^{6} - 1696 x^{4} - 640 x^{2} + 32$ |
$20$ |
[8,6] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$13$ |
$1104580828.25$ |
| 20.0.165...848.9 |
$x^{20} + 20 x^{18} + 178 x^{16} + 928 x^{14} + 3120 x^{12} + 6976 x^{10} + 10264 x^{8} + 9408 x^{6} + 4720 x^{4} + 960 x^{2} + 32$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$178267915.545$ |
| 20.4.165...848.9 |
$x^{20} - 16 x^{18} + 116 x^{16} - 368 x^{14} - 204 x^{12} + 3056 x^{10} + 2592 x^{8} - 7360 x^{6} - 11008 x^{4} - 12736 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$358538571.15$ |
| 20.0.165...848.10 |
$x^{20} + 4 x^{18} - 12 x^{16} - 96 x^{14} - 156 x^{12} + 2048 x^{10} + 384 x^{8} - 5920 x^{6} - 1536 x^{4} - 448 x^{2} + 16928$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$9$ |
$152305620.268$ |
| 20.4.165...848.10 |
$x^{20} - 8 x^{18} - 34 x^{16} + 256 x^{14} - 100 x^{12} - 1296 x^{10} + 1720 x^{8} + 5152 x^{6} + 3936 x^{4} + 768 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$486110073.186$ |
| 20.0.165...848.11 |
$x^{20} + 8 x^{18} - 34 x^{16} - 168 x^{14} + 1308 x^{12} + 7104 x^{10} + 12280 x^{8} + 9632 x^{6} + 3936 x^{4} + 640 x^{2} + 32$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[3]$ |
$[3]$ |
$2$ |
$9$ |
$60853639.2796$ |
| 20.4.165...848.11 |
$x^{20} - 8 x^{18} - 26 x^{16} + 240 x^{14} + 12 x^{12} + 816 x^{10} - 4640 x^{8} - 11360 x^{6} + 4368 x^{4} + 4096 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$360066233.515$ |
| 20.4.165...848.12 |
$x^{20} + 8 x^{18} - 56 x^{16} - 80 x^{14} + 736 x^{12} - 1168 x^{10} + 136 x^{8} + 1536 x^{6} - 1696 x^{4} + 640 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$515061204.925$ |
| 20.4.165...848.13 |
$x^{20} + 16 x^{18} + 94 x^{16} + 192 x^{14} - 292 x^{12} - 2352 x^{10} - 4360 x^{8} + 1728 x^{6} + 8352 x^{4} - 21760 x^{2} + 16928$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$475681554.441$ |
| 20.4.165...848.14 |
$x^{20} + 4 x^{18} - 36 x^{16} - 120 x^{14} - 196 x^{12} - 2704 x^{10} - 6536 x^{8} - 17632 x^{6} - 22800 x^{4} - 1536 x^{2} + 32$ |
$20$ |
[4,8] |
$2^{55}\cdot 11^{16}$ |
$2$ |
$45.8085596133$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
trivial |
trivial |
$2$ |
$11$ |
$398185288.47$ |
| 20.4.312...000.1 |
$x^{20} - 10 x^{19} + 40 x^{18} - 40 x^{17} - 375 x^{16} + 2446 x^{15} - 8520 x^{14} + 20430 x^{13} - 34780 x^{12} + 38100 x^{11} - 11134 x^{10} - 52580 x^{9} + 127645 x^{8} - 166070 x^{7} + 148150 x^{6} - 112384 x^{5} + 103685 x^{4} - 110640 x^{3} + 90790 x^{2} - 46400 x + 10651$ |
$20$ |
[4,8] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.2870804502$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$592110201.324$ |
| 20.8.312...000.1 |
$x^{20} - 10 x^{19} + 40 x^{18} - 60 x^{17} - 90 x^{16} + 568 x^{15} - 910 x^{14} - 610 x^{13} + 4165 x^{12} - 2390 x^{11} - 15496 x^{10} + 42380 x^{9} - 36695 x^{8} - 13320 x^{7} + 59070 x^{6} - 48508 x^{5} - 5405 x^{4} + 21370 x^{3} - 2980 x^{2} - 170 x - 1099$ |
$20$ |
[8,6] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.28708045015879$ |
|
|
|
|
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$13$ |
$2336346283.4270334$ |
| 20.0.312...000.2 |
$x^{20} + 70 x^{16} + 900 x^{14} + 7225 x^{12} + 28550 x^{10} + 69000 x^{8} + 178950 x^{6} + 321700 x^{4} + 301200 x^{2} + 114005$ |
$20$ |
[0,10] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.2870804502$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[4]$ |
$[4]$ |
$2$ |
$9$ |
$107859748.433$ |
| 20.4.312...000.2 |
$x^{20} + 70 x^{16} - 900 x^{14} + 7225 x^{12} - 28550 x^{10} + 69000 x^{8} - 178950 x^{6} + 321700 x^{4} - 301200 x^{2} + 114005$ |
$20$ |
[4,8] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.2870804502$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$521864701.779$ |
| 20.0.312...000.3 |
$x^{20} - 10 x^{19} + 30 x^{18} + 10 x^{17} - 180 x^{16} + 210 x^{15} + 50 x^{14} - 250 x^{13} + 1250 x^{12} - 1250 x^{11} - 180 x^{10} + 1800 x^{9} + 825 x^{8} + 2250 x^{7} - 1900 x^{6} + 1590 x^{5} + 6450 x^{4} + 5900 x^{3} + 4800 x^{2} + 1300 x + 505$ |
$20$ |
[0,10] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.2870804502$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[4]$ |
$[4]$ |
$2$ |
$9$ |
$106980205.298$ |
| 20.4.312...000.3 |
$x^{20} - 10 x^{19} + 50 x^{18} - 150 x^{17} + 155 x^{16} + 848 x^{15} - 5860 x^{14} + 21000 x^{13} - 55075 x^{12} + 113530 x^{11} - 189626 x^{10} + 257880 x^{9} - 282275 x^{8} + 243600 x^{7} - 155940 x^{6} + 71262 x^{5} - 22480 x^{4} + 9000 x^{3} - 2250 x^{2} + 540 x - 49$ |
$20$ |
[4,8] |
$2^{30}\cdot 5^{35}$ |
$2$ |
$47.28708045015879$ |
|
|
|
|
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$1012138351.1402396$ |
| 20.4.150...000.2 |
$x^{20} - 4 x^{19} + 26 x^{18} - 58 x^{17} + 74 x^{16} + 1492 x^{15} - 9058 x^{14} + 41880 x^{13} - 121320 x^{12} + 257302 x^{11} - 339152 x^{10} + 108552 x^{9} + 614659 x^{8} - 1198646 x^{7} - 940982 x^{6} + 8892764 x^{5} - 22982344 x^{4} + 35536116 x^{3} - 36114364 x^{2} + 23361272 x - 7073429$ |
$20$ |
[4,8] |
$2^{30}\cdot 5^{15}\cdot 11^{16}$ |
$3$ |
$64.4001152950292$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$7481084757.281318$ |
| 20.4.150...000.3 |
$x^{20} - 4 x^{19} - 14 x^{18} + 80 x^{17} + 311 x^{16} - 1292 x^{15} - 4988 x^{14} + 21608 x^{13} + 21737 x^{12} - 154262 x^{11} - 70470 x^{10} + 815318 x^{9} - 316370 x^{8} - 1489690 x^{7} + 841088 x^{6} + 1928360 x^{5} - 5125029 x^{4} + 7881178 x^{3} - 6425686 x^{2} + 3571374 x - 1541539$ |
$20$ |
[4,8] |
$2^{30}\cdot 5^{15}\cdot 11^{16}$ |
$3$ |
$64.4001152950292$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$6600255390.968914$ |
| 20.0.334...000.1 |
$x^{20} + 620 x^{18} + 160120 x^{16} + 22352550 x^{14} + 1825411900 x^{12} + 87876307830 x^{10} + 2383020937425 x^{8} + 32939704374900 x^{6} + 210389416837750 x^{4} + 607845385916600 x^{2} + 647897708283005$ |
$20$ |
[0,10] |
$2^{30}\cdot 5^{35}\cdot 251^{4}\cdot 4051^{4}$ |
$4$ |
$751.951264547$ |
|
✓ |
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2, 2, 2, 2, 2, 4976588]$ |
$[4976588, 2, 2, 2, 2, 2]$ |
$2$ |
$9$ |
$2763569691980$ |
| 20.0.334...000.2 |
$x^{20} + 620 x^{18} + 151820 x^{16} + 18817350 x^{14} + 1277085000 x^{12} + 49400370430 x^{10} + 1107701545225 x^{8} + 14211205243200 x^{6} + 98935744682250 x^{4} + 332531377123000 x^{2} + 418616983512005$ |
$20$ |
[0,10] |
$2^{30}\cdot 5^{35}\cdot 251^{4}\cdot 4051^{4}$ |
$4$ |
$751.951264547$ |
|
✓ |
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2, 2, 4, 4, 5410656]$ |
$[5410656, 4, 4, 2, 2]$ |
$2$ |
$9$ |
$1414971991820$ |
| 20.0.334...000.3 |
$x^{20} + 440 x^{18} + 75020 x^{16} + 6243850 x^{14} + 260753800 x^{12} + 4992932510 x^{10} + 34796292325 x^{8} + 93209995700 x^{6} + 85069237850 x^{4} + 3636126400 x^{2} + 16182005$ |
$20$ |
[0,10] |
$2^{30}\cdot 5^{35}\cdot 251^{4}\cdot 4051^{4}$ |
$4$ |
$751.9512645470064$ |
|
✓ |
|
? |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$2$ |
$9$ |
|
| 20.20.425...000.1 |
$x^{20} - 2240 x^{18} + 1916790 x^{16} - 844871500 x^{14} + 213683734025 x^{12} - 32292287952250 x^{10} + 2915938028533500 x^{8} - 151791147140393750 x^{6} + 4198270094588777500 x^{4} - 51101250275193925000 x^{2} + 139520704615454253125$ |
$20$ |
[20,0] |
$2^{30}\cdot 5^{15}\cdot 11^{16}\cdot 331^{4}\cdot 39161^{4}$ |
$5$ |
$1703.81720061$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
$[2, 2, 2]$ |
$[4, 4, 4, 2, 2]$ |
$2$ |
$19$ |
$10680867201500000000000000$ |
| 20.20.425...000.2 |
$x^{20} - 2050 x^{18} + 1707695 x^{16} - 751618300 x^{14} + 190534011575 x^{12} - 28389938424500 x^{10} + 2420911096388875 x^{8} - 108458525462588750 x^{6} + 2086105732692561250 x^{4} - 8794789961090825000 x^{2} + 860986914286128125$ |
$20$ |
[20,0] |
$2^{30}\cdot 5^{15}\cdot 11^{16}\cdot 331^{4}\cdot 39161^{4}$ |
$5$ |
$1703.8172006069226$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$2$ |
$19$ |
|
