| 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 |
| 20.0.174...544.1 |
$x^{20} - 8 x^{19} + 35 x^{18} - 108 x^{17} + 273 x^{16} - 600 x^{15} + 1152 x^{14} - 1896 x^{13} + 2622 x^{12} - 2960 x^{11} + 2590 x^{10} - 1528 x^{9} + 222 x^{8} + 744 x^{7} - 1056 x^{6} + 792 x^{5} - 291 x^{4} - 72 x^{3} + 155 x^{2} - 76 x + 13$ |
$20$ |
[0,10] |
$2^{52}\cdot 3^{18}$ |
$2$ |
$16.2962289658$ |
$21.503003036178292$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$12$ |
$9$ |
$69213.1676374$ |
| 20.0.590...000.1 |
$x^{20} - 2 x^{15} + 5 x^{10} - 4 x^{5} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 3^{10}\cdot 5^{20}$ |
$3$ |
$17.3205080757$ |
$22.049874807078353$ |
|
|
✓ |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$12$ |
$9$ |
$111534.714233$ |
| 20.0.253...000.1 |
$x^{20} - 6 x^{15} + 18 x^{10} - 108 x^{5} + 324$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$18.630869583595548$ |
$23.718030676126663$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$12$ |
$9$ |
$224097.04192309754$ |
| 20.0.634...000.1 |
$x^{20} - 14 x^{18} + 81 x^{16} - 240 x^{14} + 426 x^{12} - 120 x^{10} - 42 x^{8} - 72 x^{6} + 45 x^{4} - 2 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$21.8841723391$ |
$23.718030676126663$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$4$ |
$9$ |
$702239.8277328684$ |
| 20.0.634...000.2 |
$x^{20} + 5 x^{18} + 18 x^{16} + 42 x^{14} + 105 x^{12} + 189 x^{10} + 252 x^{8} + 228 x^{6} + 120 x^{4} + 32 x^{2} + 4$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$21.8841723391$ |
$23.718030676126663$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$448194.0838461951$ |
| 20.0.151...000.1 |
$x^{20} - 2 x^{15} + 2 x^{10} - 4 x^{5} + 4$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{10}\cdot 5^{20}$ |
$3$ |
$22.854547424477136$ |
$29.094984239491836$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$12$ |
$9$ |
$1715795.4246078774$ |
| 20.4.259...000.1 |
$x^{20} - 2 x^{18} - 19 x^{16} + 24 x^{14} + 148 x^{12} - 72 x^{10} - 536 x^{8} - 96 x^{6} + 716 x^{4} - 440 x^{2} + 100$ |
$20$ |
[4,8] |
$2^{52}\cdot 3^{10}\cdot 5^{10}$ |
$3$ |
$23.4813800787$ |
$30.983866769659336$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$2$ |
$11$ |
$1131556.88594$ |
| 20.4.103...000.1 |
$x^{20} - 6 x^{18} + 33 x^{16} - 96 x^{14} + 162 x^{12} - 268 x^{10} + 162 x^{8} - 96 x^{6} + 33 x^{4} - 6 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{54}\cdot 3^{10}\cdot 5^{10}$ |
$3$ |
$25.166720032$ |
$30.983866769659336$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$2$ |
$11$ |
$2948650.84084$ |
| 20.0.259...000.1 |
$x^{20} - 18 x^{10} + 324$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$26.348028443925205$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$6741826.743233177$ |
| 20.0.259...000.2 |
$x^{20} + 18 x^{10} + 324$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$26.348028443925205$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$4682448.880426943$ |
| 20.0.377...000.1 |
$x^{20} - 15 x^{18} + 90 x^{16} - 270 x^{14} + 405 x^{12} - 239 x^{10} + 120 x^{8} + 180 x^{6} + 4$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$26.8453843405$ |
$29.094984239491836$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$3431590.849215755$ |
| 20.0.377...000.2 |
$x^{20} - 10 x^{18} + 65 x^{16} - 400 x^{14} + 1750 x^{12} - 5772 x^{10} + 17350 x^{8} - 36160 x^{6} + 30425 x^{4} + 3350 x^{2} + 361$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$26.8453843405$ |
$29.094984239491836$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$4$ |
$9$ |
$5376688.032388041$ |
| 20.0.184...000.1 |
$x^{20} - 4 x^{19} - 2 x^{18} + 24 x^{17} + 2 x^{16} - 64 x^{15} - 72 x^{14} + 244 x^{13} - 88 x^{12} - 112 x^{11} + 1002 x^{10} - 748 x^{9} + 1036 x^{8} - 344 x^{7} + 552 x^{6} - 412 x^{5} + 400 x^{4} - 288 x^{3} + 104 x^{2} - 16 x + 2$ |
$20$ |
[0,10] |
$2^{44}\cdot 3^{16}\cdot 5^{12}$ |
$3$ |
$29.06330481800935$ |
$36.999043556727734$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$8$ |
$9$ |
$19649177.752721436$ |
| 20.0.649...000.1 |
$x^{20} + 2 x^{18} - 24 x^{16} - 90 x^{14} + 96 x^{12} + 900 x^{10} + 1524 x^{8} + 600 x^{6} + 204 x^{4} + 32 x^{2} + 4$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$30.9488933233$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$18168742.11784922$ |
| 20.0.649...000.2 |
$x^{20} + 12 x^{18} + 48 x^{16} + 60 x^{14} + 12 x^{12} + 174 x^{10} + 612 x^{8} + 720 x^{6} + 288 x^{4} - 288 x^{2} + 576$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$30.9488933233$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$2$ |
$9$ |
$9660809.80023597$ |
| 20.0.649...000.3 |
$x^{20} + 8 x^{18} + 60 x^{16} - 132 x^{14} - 696 x^{12} - 558 x^{10} + 6420 x^{8} + 4512 x^{6} + 2316 x^{4} + 560 x^{2} + 100$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$30.9488933233$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$6$ |
$9$ |
$9660809.80023597$ |
| 20.0.649...000.4 |
$x^{20} - 2 x^{18} - 24 x^{16} + 90 x^{14} + 96 x^{12} - 900 x^{10} + 1524 x^{8} - 600 x^{6} + 204 x^{4} - 32 x^{2} + 4$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$30.9488933233$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$2$ |
$9$ |
$4682448.880426943$ |
| 20.0.649...000.5 |
$x^{20} - 12 x^{18} + 48 x^{16} - 60 x^{14} + 12 x^{12} - 174 x^{10} + 612 x^{8} - 720 x^{6} + 288 x^{4} + 288 x^{2} + 576$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$30.9488933233$ |
$33.54236065495944$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$13483653.486466354$ |
| 20.0.154...000.1 |
$x^{20} - 2 x^{10} + 4$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{20}$ |
$3$ |
$32.321210929594656$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$52277858.62576441$ |
| 20.0.154...000.2 |
$x^{20} + 2 x^{10} + 4$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{20}$ |
$3$ |
$32.321210929594656$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$38333981.767314285$ |
| 20.4.166...000.1 |
$x^{20} + 4 x^{18} + 9 x^{16} - 24 x^{14} - 138 x^{12} - 36 x^{10} + 426 x^{8} - 456 x^{6} + 153 x^{4} - 32 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{44}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$32.43822802139146$ |
$41.29548993075364$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$2$ |
$11$ |
$31875264.69528467$ |
| 20.0.175...000.1 |
$x^{20} - 4 x^{19} + 35 x^{18} - 90 x^{17} + 423 x^{16} - 804 x^{15} + 2562 x^{14} - 4296 x^{13} + 9651 x^{12} - 16288 x^{11} + 26077 x^{10} - 39272 x^{9} + 52455 x^{8} - 59520 x^{7} + 82614 x^{6} - 88422 x^{5} + 60741 x^{4} - 28428 x^{3} + 9143 x^{2} - 2084 x + 337$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{12}\cdot 7^{10}$ |
$4$ |
$32.52101924343067$ |
$41.400887305536884$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$42617782.818598166$ |
| 20.0.462...000.1 |
$x^{20} + 4 x^{18} + x^{16} + 8 x^{14} + 134 x^{12} - 196 x^{10} + 594 x^{8} - 360 x^{6} + 585 x^{4} + 225$ |
$20$ |
[0,10] |
$2^{44}\cdot 3^{16}\cdot 5^{14}$ |
$3$ |
$34.138308388$ |
$36.999043556727734$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$40540104.9424295$ |
| 20.0.462...000.2 |
$x^{20} - 16 x^{16} + 16 x^{12} + 304 x^{8} + 1376 x^{4} + 400$ |
$20$ |
[0,10] |
$2^{44}\cdot 3^{16}\cdot 5^{14}$ |
$3$ |
$34.138308388$ |
$36.999043556727734$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$4$ |
$9$ |
$40540104.9424295$ |
| 20.0.706...656.1 |
$x^{20} - 8 x^{19} + 36 x^{18} - 140 x^{17} + 462 x^{16} - 1236 x^{15} + 2946 x^{14} - 6148 x^{13} + 9614 x^{12} - 9624 x^{11} - 8 x^{10} + 32620 x^{9} - 82312 x^{8} + 72952 x^{7} + 44046 x^{6} - 131568 x^{5} + 70862 x^{4} + 7172 x^{3} - 2294 x^{2} - 10388 x + 4487$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{10}\cdot 13^{12}$ |
$3$ |
$34.8706485586$ |
$51.23320533148189$ |
✓ |
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[6]$ |
$2$ |
$9$ |
$9631410.14359$ |
| 20.0.723...000.1 |
$x^{20} - 12 x^{15} + 72 x^{10} - 384 x^{5} + 1024$ |
$20$ |
[0,10] |
$2^{28}\cdot 5^{20}\cdot 7^{10}$ |
$3$ |
$34.9108978489$ |
$44.4433225403395$ |
✓ |
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[5]$ |
$4$ |
$9$ |
$22886402.7491$ |
| 20.0.386...000.2 |
$x^{20} + 10 x^{18} + 60 x^{16} + 160 x^{14} - 360 x^{12} - 4724 x^{10} - 10600 x^{8} + 9360 x^{6} + 70000 x^{4} + 113640 x^{2} + 79524$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$37.9651066214$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$2$ |
$9$ |
$38333981.767314285$ |
| 20.0.386...000.3 |
$x^{20} + 122 x^{10} + 4096$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$37.9651066214$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$104555717.25152881$ |
| 20.0.386...000.4 |
$x^{20} - 122 x^{10} + 4096$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$37.9651066214$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$2$ |
$9$ |
$79090517.84586053$ |
| 20.0.386...000.5 |
$x^{20} - 10 x^{18} + 60 x^{16} - 160 x^{14} - 360 x^{12} + 4724 x^{10} - 10600 x^{8} - 9360 x^{6} + 70000 x^{4} - 113640 x^{2} + 79524$ |
$20$ |
[0,10] |
$2^{38}\cdot 3^{10}\cdot 5^{22}$ |
$3$ |
$37.9651066214$ |
$41.1465213085208$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$140885099.5463859$ |
| 20.4.415...000.1 |
$x^{20} + 8 x^{18} - 27 x^{16} - 480 x^{14} + 1962 x^{12} - 3024 x^{10} + 1962 x^{8} - 480 x^{6} - 27 x^{4} + 8 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{44}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$38.1025571141$ |
$41.29548993075364$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$11$ |
$206083689.12287372$ |
| 20.4.415...000.2 |
$x^{20} - 24 x^{18} + 285 x^{16} - 2016 x^{14} + 8994 x^{12} - 25116 x^{10} + 42750 x^{8} - 44064 x^{6} + 29781 x^{4} - 12060 x^{2} + 225$ |
$20$ |
[4,8] |
$2^{44}\cdot 3^{18}\cdot 5^{14}$ |
$3$ |
$38.1025571141$ |
$41.29548993075364$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$11$ |
$177231764.07159692$ |
| 20.0.437...000.1 |
$x^{20} - 3 x^{19} + 17 x^{18} - 60 x^{17} + 255 x^{16} - 423 x^{15} + 1269 x^{14} - 798 x^{13} + 3933 x^{12} + 2679 x^{11} + 8229 x^{10} + 6138 x^{9} + 6384 x^{8} + 4176 x^{7} + 3372 x^{6} + 1314 x^{5} + 708 x^{4} + 144 x^{3} + 80 x^{2} + 4$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{14}\cdot 7^{10}$ |
$4$ |
$38.1998052519$ |
$41.400887305536884$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$85235565.63719633$ |
| 20.0.437...000.2 |
$x^{20} + 19 x^{18} - 12 x^{17} + 168 x^{16} - 84 x^{15} + 798 x^{14} - 324 x^{13} + 1953 x^{12} + 1776 x^{11} - 2283 x^{10} + 9534 x^{9} + 2250 x^{8} - 13752 x^{7} + 36366 x^{6} - 4530 x^{5} - 19272 x^{4} + 14640 x^{3} + 28696 x^{2} - 30600 x + 21256$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{14}\cdot 7^{10}$ |
$4$ |
$38.1998052519$ |
$41.400887305536884$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$239722179.86484048$ |
| 20.0.104...000.1 |
$x^{20} - 22 x^{15} + 356 x^{10} - 2816 x^{5} + 16384$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{20}\cdot 7^{10}$ |
$4$ |
$39.89363852590934$ |
$50.78660113497614$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$346600948.63503927$ |
| 20.0.104...000.2 |
$x^{20} - 22 x^{15} + 356 x^{10} - 2816 x^{5} + 16384$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{20}\cdot 7^{10}$ |
$4$ |
$39.89363852590934$ |
$50.78660113497614$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$346600948.63503927$ |
| 20.0.160...000.1 |
$x^{20} - 4 x^{19} + 45 x^{18} - 126 x^{17} + 756 x^{16} - 1668 x^{15} + 6642 x^{14} - 13140 x^{13} + 35763 x^{12} - 69352 x^{11} + 130297 x^{10} - 235776 x^{9} + 343920 x^{8} - 494004 x^{7} + 659184 x^{6} - 700062 x^{5} + 606048 x^{4} - 399540 x^{3} + 199752 x^{2} - 73128 x + 15492$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{12}\cdot 11^{10}$ |
$4$ |
$40.76725510039972$ |
$51.8987588160744$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$586264956.9999704$ |
| 20.0.160...000.2 |
$x^{20} - 4 x^{19} + 45 x^{18} - 126 x^{17} + 756 x^{16} - 1668 x^{15} + 6642 x^{14} - 13140 x^{13} + 35763 x^{12} - 69352 x^{11} + 130297 x^{10} - 235776 x^{9} + 343920 x^{8} - 494004 x^{7} + 659184 x^{6} - 700062 x^{5} + 606048 x^{4} - 399540 x^{3} + 199752 x^{2} - 73128 x + 15492$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{12}\cdot 11^{10}$ |
$4$ |
$40.76725510039972$ |
$51.8987588160744$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$586264956.9999704$ |
| 20.0.854...000.1 |
$x^{20} - 4 x^{19} - 27 x^{18} + 102 x^{17} + 378 x^{16} - 1356 x^{15} - 2700 x^{14} + 11178 x^{13} + 7227 x^{12} - 60430 x^{11} + 25003 x^{10} + 200268 x^{9} - 249102 x^{8} - 227130 x^{7} + 645696 x^{6} - 188424 x^{5} - 150756 x^{4} - 407412 x^{3} + 324600 x^{2} - 77376 x + 201396$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{12}\cdot 13^{10}$ |
$4$ |
$44.318678751919116$ |
$56.419899105995455$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$6$ |
$9$ |
$756002700.5372794$ |
| 20.0.854...000.2 |
$x^{20} - 4 x^{19} - 27 x^{18} + 102 x^{17} + 378 x^{16} - 1356 x^{15} - 2700 x^{14} + 11178 x^{13} + 7227 x^{12} - 60430 x^{11} + 25003 x^{10} + 200268 x^{9} - 249102 x^{8} - 227130 x^{7} + 645696 x^{6} - 188424 x^{5} - 150756 x^{4} - 407412 x^{3} + 324600 x^{2} - 77376 x + 201396$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{12}\cdot 13^{10}$ |
$4$ |
$44.318678751919116$ |
$56.419899105995455$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$6$ |
$9$ |
$756002700.5372794$ |
| 20.0.260...000.1 |
$x^{20} + 25 x^{18} + 255 x^{16} + 1350 x^{14} + 3885 x^{12} + 15875 x^{10} + 14425 x^{8} + 5750 x^{6} + 1175 x^{4} + 125 x^{2} + 25$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{22}\cdot 7^{10}$ |
$4$ |
$46.8598235212$ |
$50.78660113497614$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$693201897.2700785$ |
| 20.0.260...000.2 |
$x^{20} + 35 x^{18} - 20 x^{17} + 500 x^{16} - 332 x^{15} + 3650 x^{14} - 2880 x^{13} + 13495 x^{12} - 15900 x^{11} + 25755 x^{10} - 49850 x^{9} + 29600 x^{8} - 70620 x^{7} + 31860 x^{6} - 13974 x^{5} + 29440 x^{4} + 38120 x^{3} + 19840 x^{2} + 19840 x + 6304$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{22}\cdot 7^{10}$ |
$4$ |
$46.8598235212$ |
$50.78660113497614$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$2$ |
$9$ |
$1949607169.9383223$ |
| 20.0.401...000.1 |
$x^{20} + 29 x^{18} - 12 x^{17} + 381 x^{16} - 132 x^{15} + 2790 x^{14} - 432 x^{13} + 11877 x^{12} + 5640 x^{11} + 22701 x^{10} + 42330 x^{9} + 57453 x^{8} + 18684 x^{7} + 254160 x^{6} + 5874 x^{5} + 94989 x^{4} + 364584 x^{3} + 13979 x^{2} + 87210 x + 247285$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{14}\cdot 11^{10}$ |
$4$ |
$47.8859900986$ |
$51.8987588160744$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[2, 2]$ |
$2$ |
$9$ |
$391894899.91517335$ |
| 20.0.401...000.2 |
$x^{20} - 3 x^{19} + 22 x^{18} - 84 x^{17} + 429 x^{16} - 729 x^{15} + 2976 x^{14} - 1344 x^{13} + 14160 x^{12} + 14496 x^{11} + 54102 x^{10} + 61092 x^{9} + 114720 x^{8} + 110016 x^{7} + 151776 x^{6} + 91584 x^{5} + 89856 x^{4} + 27648 x^{3} + 28672 x^{2} + 4096$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{18}\cdot 5^{14}\cdot 11^{10}$ |
$4$ |
$47.8859900986$ |
$51.8987588160744$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
$[4]$ |
$2$ |
$9$ |
$1172529913.9999409$ |
| 20.0.717...000.1 |
$x^{20} - 474 x^{15} + 229050 x^{10} + 2073276 x^{5} + 19131876$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{18}\cdot 5^{12}\cdot 7^{10}$ |
$4$ |
$49.292647627071325$ |
$62.7520107572323$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$6$ |
$9$ |
$2178006063.441225$ |
| 20.0.717...000.2 |
$x^{20} - 474 x^{15} + 229050 x^{10} + 2073276 x^{5} + 19131876$ |
$20$ |
[0,10] |
$2^{28}\cdot 3^{18}\cdot 5^{12}\cdot 7^{10}$ |
$4$ |
$49.292647627071325$ |
$62.7520107572323$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[2]$ |
$6$ |
$9$ |
$2178006063.441225$ |
| 20.20.723...744.1 |
$x^{20} - 42 x^{18} - 4 x^{17} + 648 x^{16} - 48 x^{15} - 4960 x^{14} + 1484 x^{13} + 20259 x^{12} - 10008 x^{11} - 43824 x^{10} + 27916 x^{9} + 46614 x^{8} - 34168 x^{7} - 20754 x^{6} + 17048 x^{5} + 2795 x^{4} - 3136 x^{3} + 128 x^{2} + 100 x + 1$ |
$20$ |
[20,0] |
$2^{40}\cdot 7^{10}\cdot 13^{12}$ |
$3$ |
$49.3145441204$ |
$72.45469382362725$ |
|
|
? |
$C_2^2\times F_5$ (as 20T16) |
trivial |
$2$ |
$19$ |
$73015955617.6$ |
| 20.0.740...000.1 |
$x^{20} - 62 x^{10} + 1024$ |
$20$ |
[0,10] |
$2^{38}\cdot 5^{20}\cdot 7^{10}$ |
$3$ |
$49.3714652125$ |
$62.85234949347$ |
✓ |
|
? |
$C_2^2\times F_5$ (as 20T16) |
$[15]$ |
$2$ |
$9$ |
$110117144.83896151$ |
| 20.0.957...000.1 |
$x^{20} - 62 x^{15} + 2872 x^{10} - 60264 x^{5} + 944784$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{20}\cdot 11^{10}$ |
$4$ |
$50.00932247833555$ |
$63.66437375944342$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$3979566115.8686695$ |
| 20.0.957...000.2 |
$x^{20} - 62 x^{15} + 2872 x^{10} - 60264 x^{5} + 944784$ |
$20$ |
[0,10] |
$2^{16}\cdot 3^{10}\cdot 5^{20}\cdot 11^{10}$ |
$4$ |
$50.00932247833555$ |
$63.66437375944342$ |
|
|
|
$C_2^2\times F_5$ (as 20T16) |
trivial |
$6$ |
$9$ |
$3979566115.8686695$ |
