| 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 |
| 20.6.185...136.1 |
$x^{20} - 7 x^{18} - 6 x^{17} + 14 x^{16} + 22 x^{15} - 11 x^{14} - 8 x^{13} + 36 x^{12} + 8 x^{11} - 33 x^{10} - 90 x^{9} - 148 x^{8} - 68 x^{7} + 69 x^{6} + 194 x^{5} + 211 x^{4} + 110 x^{3} + 44 x^{2} + 14 x + 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 191\cdot 5519^{4}$ |
$3$ |
$14.5698051194$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$5274.08485638$ |
| 20.6.301...375.1 |
$x^{20} - 2 x^{19} - 7 x^{18} + 21 x^{17} + 2 x^{16} - 71 x^{15} + 88 x^{14} + 62 x^{13} - 251 x^{12} + 140 x^{11} + 180 x^{10} - 135 x^{9} - 230 x^{8} + 259 x^{7} + 7 x^{6} - 78 x^{5} - 8 x^{4} + 24 x^{3} + x^{2} - 5 x + 1$ |
$20$ |
[6,7] |
$-\,5^{12}\cdot 1039^{3}\cdot 1049^{2}$ |
$3$ |
$14.9262902875$ |
$3490.78435700687$ |
|
|
? |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$12$ |
$6667.12600558$ |
| 20.6.766...792.1 |
$x^{20} - x^{19} - 3 x^{18} + 5 x^{17} + 4 x^{16} - 11 x^{15} - 13 x^{14} + 21 x^{13} - 10 x^{12} - 25 x^{11} + 21 x^{10} - 25 x^{9} - 10 x^{8} + 21 x^{7} - 13 x^{6} - 11 x^{5} + 4 x^{4} + 5 x^{3} - 3 x^{2} - x + 1$ |
$20$ |
[6,7] |
$-\,2^{16}\cdot 3^{16}\cdot 43^{7}$ |
$3$ |
$15.6399355752$ |
$27.49509522275834$ |
|
|
? |
$S_5$ (as 20T30) |
trivial |
$2$ |
$12$ |
$11415.5281685$ |
| 20.6.110...928.1 |
$x^{20} - 3 x^{18} - 2 x^{17} - 7 x^{16} + 18 x^{15} - 9 x^{14} + 10 x^{13} - 5 x^{12} - 40 x^{11} + 99 x^{10} - 150 x^{9} + 155 x^{8} - 78 x^{7} - 34 x^{6} + 162 x^{5} - 248 x^{4} + 192 x^{3} - 75 x^{2} + 14 x - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 11^{16}\cdot 23$ |
$3$ |
$15.930541401$ |
|
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T749) |
trivial |
$2$ |
$12$ |
$15680.665245$ |
| 20.6.118...887.1 |
$x^{20} - x^{19} - 3 x^{18} + 11 x^{17} - 5 x^{16} - 23 x^{15} + 41 x^{14} + 21 x^{13} - 82 x^{12} + 32 x^{11} + 123 x^{10} - 148 x^{9} - 25 x^{8} + 156 x^{7} - 55 x^{6} - 11 x^{5} - 8 x^{4} + 2 x^{3} + 12 x^{2} - 7 x + 1$ |
$20$ |
[6,7] |
$-\,3^{16}\cdot 223^{7}$ |
$2$ |
$15.9809909602$ |
$35.962463598304126$ |
|
|
? |
$S_5$ (as 20T30) |
trivial |
$2$ |
$12$ |
$14563.3790161$ |
| 20.6.166...251.1 |
$x^{20} - 5 x^{19} + 11 x^{18} - 19 x^{17} + 21 x^{16} - 14 x^{15} - 4 x^{14} + 33 x^{13} - 63 x^{12} + 88 x^{11} - 97 x^{10} + 88 x^{9} - 63 x^{8} + 33 x^{7} - 4 x^{6} - 14 x^{5} + 21 x^{4} - 19 x^{3} + 11 x^{2} - 5 x + 1$ |
$20$ |
[6,7] |
$-\,11^{16}\cdot 331^{3}$ |
$2$ |
$16.2587946978$ |
$123.88768709435013$ |
|
|
? |
$C_2^5.C_2\wr C_5$ (as 20T303) |
trivial |
$2$ |
$12$ |
$16944.5204937$ |
| 20.6.166...251.2 |
$x^{20} - 6 x^{19} + 17 x^{18} - 34 x^{17} + 52 x^{16} - 52 x^{15} + 14 x^{14} + 52 x^{13} - 105 x^{12} + 123 x^{11} - 123 x^{10} + 123 x^{9} - 105 x^{8} + 52 x^{7} + 14 x^{6} - 52 x^{5} + 52 x^{4} - 34 x^{3} + 17 x^{2} - 6 x + 1$ |
$20$ |
[6,7] |
$-\,11^{16}\cdot 331^{3}$ |
$2$ |
$16.2587946978$ |
$123.88768709435013$ |
|
|
? |
$C_2^5.C_2\wr C_5$ (as 20T303) |
trivial |
$2$ |
$12$ |
$16944.5204937$ |
| 20.6.166...752.1 |
$x^{20} - 4 x^{19} + 2 x^{18} + 10 x^{17} - 23 x^{16} + 32 x^{15} - 8 x^{14} - 23 x^{13} - 33 x^{12} + 89 x^{11} - 83 x^{10} + 41 x^{9} + 51 x^{8} - 2 x^{7} - 88 x^{6} + 34 x^{5} - 6 x^{4} - 16 x^{3} + 23 x^{2} + 5 x - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 23^{2}\cdot 67$ |
$4$ |
$16.2594432177$ |
$980.4979937149645$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$17148.8921562$ |
| 20.6.169...791.1 |
$x^{20} - 10 x^{19} + 55 x^{18} - 210 x^{17} + 612 x^{16} - 1428 x^{15} + 2740 x^{14} - 4390 x^{13} + 5906 x^{12} - 6654 x^{11} + 6177 x^{10} - 4535 x^{9} + 2336 x^{8} - 410 x^{7} - 677 x^{6} + 896 x^{5} - 623 x^{4} + 283 x^{3} - 83 x^{2} + 14 x - 1$ |
$20$ |
[6,7] |
$-\,137^{2}\cdot 5639\cdot 11243^{4}$ |
$3$ |
$16.2707886405$ |
$93197.10805062568$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$16081.5836543$ |
| 20.6.206...544.1 |
$x^{20} + 3 x^{18} + 5 x^{16} - 8 x^{14} - 39 x^{12} - 73 x^{10} - 22 x^{8} + 53 x^{6} + 15 x^{4} - 7 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1762.8350228555319$ |
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$22409.0331228$ |
| 20.6.206...544.2 |
$x^{20} - 6 x^{18} + 15 x^{16} - 3 x^{14} - 46 x^{12} + 49 x^{10} + 36 x^{8} - 53 x^{6} - 5 x^{4} + 14 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1762.8350228555319$ |
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$19332.366627$ |
| 20.6.206...544.3 |
$x^{20} - 2 x^{18} + 4 x^{16} + 10 x^{14} - 18 x^{12} - 32 x^{10} - x^{8} + 32 x^{6} + 24 x^{4} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1762.8350228555319$ |
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$19532.668691$ |
| 20.6.216...168.1 |
$x^{20} - x^{19} + 2 x^{18} - 3 x^{17} - 14 x^{16} + 41 x^{15} - 55 x^{14} - 8 x^{13} + 123 x^{12} - 156 x^{11} + 86 x^{10} + 70 x^{9} - 133 x^{8} + 122 x^{7} - 56 x^{6} - 30 x^{5} + 2 x^{4} - 34 x^{3} + x^{2} - 4 x - 1$ |
$20$ |
[6,7] |
$-\,2^{4}\cdot 53^{5}\cdot 4241^{4}$ |
$3$ |
$16.4728453428$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$23672.7707468$ |
| 20.6.273...984.1 |
$x^{20} - 4 x^{18} - 2 x^{16} + 31 x^{14} - 51 x^{12} + 28 x^{10} - 12 x^{8} + 4 x^{6} + 10 x^{4} - 5 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 241^{2}$ |
$3$ |
$16.665979766$ |
$404.91912156279443$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$23152.385994$ |
| 20.6.273...984.2 |
$x^{20} + 6 x^{18} + 6 x^{16} - 38 x^{14} - 105 x^{12} - 101 x^{10} - 37 x^{8} + 10 x^{6} + 14 x^{4} + 2 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 241^{2}$ |
$3$ |
$16.665979766$ |
$404.91912156279443$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$23525.4489152$ |
| 20.6.273...984.3 |
$x^{20} + 3 x^{18} + 7 x^{16} + 9 x^{14} - 10 x^{12} - 9 x^{10} - 53 x^{8} - 30 x^{6} + 45 x^{4} + 15 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 241^{2}$ |
$3$ |
$16.665979766$ |
$404.91912156279443$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$24064.8787182$ |
| 20.6.305...467.1 |
$x^{20} - 2 x^{19} - 5 x^{18} + 9 x^{17} + 16 x^{16} - 18 x^{15} - 39 x^{14} + 26 x^{13} + 57 x^{12} - 31 x^{11} - 47 x^{10} + 35 x^{9} + 14 x^{8} - 31 x^{7} + 7 x^{6} + 16 x^{5} - 5 x^{3} - 5 x^{2} + 1$ |
$20$ |
[6,7] |
$-\,8123\cdot 16493^{2}\cdot 1175561^{2}$ |
$3$ |
$16.7586991843$ |
$12549621.885757316$ |
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$12$ |
$22644.7583887$ |
| 20.6.483...959.1 |
$x^{20} - 3 x^{19} + 2 x^{18} + 7 x^{17} - 8 x^{16} - 11 x^{15} + 7 x^{14} + 48 x^{13} - 44 x^{12} - 80 x^{11} + 125 x^{10} + 54 x^{9} - 191 x^{8} + 36 x^{7} + 170 x^{6} - 140 x^{5} - 8 x^{4} + 66 x^{3} - 39 x^{2} + 10 x - 1$ |
$20$ |
[6,7] |
$-\,3^{3}\cdot 43\cdot 163^{2}\cdot 271\cdot 4903^{4}$ |
$5$ |
$17.1475159154$ |
$167149.1796300538$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$30546.6775597$ |
| 20.6.671...000.1 |
$x^{20} - 6 x^{18} + 12 x^{16} - 4 x^{14} - 25 x^{12} + 57 x^{10} - 66 x^{8} + 51 x^{6} - 26 x^{4} + 8 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{16}\cdot 5^{10}\cdot 3240299^{2}$ |
$3$ |
$17.432814438$ |
|
|
|
|
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$12$ |
$55608.7000502$ |
| 20.6.673...739.1 |
$x^{20} - x^{19} - 3 x^{18} - 5 x^{17} - 2 x^{16} + 10 x^{15} + 18 x^{14} + 18 x^{13} + 2 x^{12} - 19 x^{11} - 27 x^{10} - 19 x^{9} + 2 x^{8} + 18 x^{7} + 18 x^{6} + 10 x^{5} - 2 x^{4} - 5 x^{3} - 3 x^{2} - x + 1$ |
$20$ |
[6,7] |
$-\,11\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4}$ |
$4$ |
$17.4349927049$ |
$11042.097943778619$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$40667.7930212$ |
| 20.6.737...952.1 |
$x^{20} - 2 x^{19} - 5 x^{18} + 8 x^{17} + 8 x^{16} - 8 x^{14} + 6 x^{13} - 39 x^{12} - 40 x^{11} - 75 x^{10} + 86 x^{9} + 147 x^{8} + 52 x^{7} + 346 x^{6} + 180 x^{5} - 89 x^{4} + 14 x^{3} + 26 x^{2} + 8 x + 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 23^{3}\cdot 4903^{4}$ |
$3$ |
$17.5138469315$ |
$2816.90655385967$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$44839.5762854$ |
| 20.6.844...496.1 |
$x^{20} - 6 x^{19} + 8 x^{18} + 26 x^{17} - 104 x^{16} + 116 x^{15} + 94 x^{14} - 476 x^{13} + 668 x^{12} - 264 x^{11} - 608 x^{10} + 1126 x^{9} - 715 x^{8} - 208 x^{7} + 766 x^{6} - 582 x^{5} + 84 x^{4} + 146 x^{3} - 94 x^{2} + 22 x - 1$ |
$20$ |
[6,7] |
$-\,2^{30}\cdot 13^{4}\cdot 19\cdot 347^{4}$ |
$4$ |
$17.6334478989$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$40228.6501273$ |
| 20.6.844...496.2 |
$x^{20} - 6 x^{19} + 20 x^{18} - 38 x^{17} + 16 x^{16} + 110 x^{15} - 326 x^{14} + 442 x^{13} - 157 x^{12} - 582 x^{11} + 1244 x^{10} - 1206 x^{9} + 466 x^{8} + 380 x^{7} - 768 x^{6} + 660 x^{5} - 356 x^{4} + 120 x^{3} - 20 x^{2} - 2 x + 1$ |
$20$ |
[6,7] |
$-\,2^{30}\cdot 13^{4}\cdot 19\cdot 347^{4}$ |
$4$ |
$17.633447898949406$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$12$ |
$41747.26864915993$ |
| 20.6.862...464.1 |
$x^{20} - 2 x^{19} - x^{18} + x^{17} - 8 x^{16} + 46 x^{15} - 64 x^{14} + 75 x^{13} - 127 x^{12} + 55 x^{11} + 46 x^{10} + 19 x^{9} + 40 x^{8} - 175 x^{7} + 94 x^{6} + 4 x^{5} + 15 x^{4} - 36 x^{3} + 25 x^{2} - 8 x - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 13^{6}\cdot 347^{6}$ |
$3$ |
$17.6521189766$ |
$257.2657843988204$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$12$ |
$45275.1482996$ |
| 20.6.862...464.2 |
$x^{20} - 11 x^{18} + 54 x^{16} - 152 x^{14} + 264 x^{12} - 284 x^{10} + 175 x^{8} - 39 x^{6} - 22 x^{4} + 16 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 13^{6}\cdot 347^{6}$ |
$3$ |
$17.6521189766$ |
$257.2657843988204$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$12$ |
$45500.6236555$ |
| 20.6.862...464.3 |
$x^{20} - x^{18} + 8 x^{16} - 19 x^{14} + 57 x^{12} - 113 x^{10} + 67 x^{8} + 47 x^{6} - 72 x^{4} + 25 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 13^{6}\cdot 347^{6}$ |
$3$ |
$17.6521189766$ |
$257.2657843988204$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$12$ |
$49961.0137007$ |
| 20.6.100...816.1 |
$x^{20} - 8 x^{18} + 29 x^{16} - 57 x^{14} + 67 x^{12} - 42 x^{10} - 9 x^{8} + 47 x^{6} - 43 x^{4} + 15 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 463^{2}$ |
$3$ |
$17.7904627639$ |
$561.2421249096863$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$46963.7792533$ |
| 20.6.103...656.1 |
$x^{20} - 5 x^{18} + x^{16} + 26 x^{14} - 27 x^{12} - 31 x^{10} + 87 x^{8} - 82 x^{6} + 23 x^{4} + 7 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{28}\cdot 13^{8}\cdot 19^{6}$ |
$3$ |
$17.8092411715$ |
|
|
|
? |
$C_2^{10}.C_2^4:S_5$ (as 20T991) |
trivial |
$2$ |
$12$ |
$59838.5629122$ |
| 20.6.111...304.1 |
$x^{20} + 2 x^{10} - 13 x^{8} + 19 x^{6} - 18 x^{4} + 9 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 107^{2}\cdot 5519^{4}$ |
$3$ |
$17.8788858774$ |
|
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$46451.8466661$ |
| 20.6.115...704.1 |
$x^{20} - x^{18} - 2 x^{14} + 14 x^{12} - 23 x^{10} + 9 x^{8} - 6 x^{6} + 8 x^{4} + 2 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 1483^{2}\cdot 2236369^{2}$ |
$3$ |
$17.9101184096$ |
|
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$12$ |
$45707.9745466$ |
| 20.6.115...704.2 |
$x^{20} - 6 x^{18} + 11 x^{16} + 7 x^{14} - 68 x^{12} + 142 x^{10} - 158 x^{8} + 98 x^{6} - 29 x^{4} + 2 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 1483^{2}\cdot 2236369^{2}$ |
$3$ |
$17.9101184096$ |
|
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$12$ |
$47663.9006465$ |
| 20.6.115...704.3 |
$x^{20} + 2 x^{18} - 4 x^{16} - 16 x^{14} - 8 x^{12} + 34 x^{10} + 45 x^{8} - 9 x^{6} - 33 x^{4} - 10 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 1483^{2}\cdot 2236369^{2}$ |
$3$ |
$17.91011840964576$ |
|
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$12$ |
$44834.25766434051$ |
| 20.6.115...704.4 |
$x^{20} - 6 x^{18} + 16 x^{16} - 21 x^{14} + 5 x^{12} + 15 x^{10} - 6 x^{8} - 15 x^{6} + 15 x^{4} - 2 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 1483^{2}\cdot 2236369^{2}$ |
$3$ |
$17.91011840964576$ |
|
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$12$ |
$44647.97933974274$ |
| 20.6.121...000.1 |
$x^{20} - 7 x^{18} + 23 x^{16} - 58 x^{14} + 110 x^{12} - 125 x^{10} + 63 x^{8} + 5 x^{6} - 16 x^{4} + 6 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2}$ |
$4$ |
$17.9578401499$ |
|
|
|
? |
$S_5^2:D_4$ (as 20T781) |
trivial |
$2$ |
$12$ |
$47016.7017825$ |
| 20.6.121...000.2 |
$x^{20} + 2 x^{18} - 2 x^{16} - 9 x^{14} + x^{12} + 11 x^{10} + x^{8} - 7 x^{6} + x^{4} + 3 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2}$ |
$4$ |
$17.9578401499$ |
|
|
|
? |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$12$ |
$45312.0662618$ |
| 20.6.126...375.1 |
$x^{20} - 4 x^{19} + 4 x^{18} + x^{17} - 7 x^{15} - 3 x^{14} + 13 x^{13} + 12 x^{12} + 2 x^{11} - 48 x^{10} + 10 x^{9} + 23 x^{8} + 22 x^{7} - 34 x^{6} + 6 x^{5} + 2 x^{4} + 4 x^{3} - 2 x^{2} - 2 x + 1$ |
$20$ |
[6,7] |
$-\,5^{10}\cdot 1039^{3}\cdot 1049^{3}$ |
$3$ |
$17.9925889145$ |
$2334.4281955116976$ |
|
|
? |
$S_5\wr C_2$ (as 20T540) |
trivial |
$2$ |
$12$ |
$64843.738284$ |
| 20.6.126...375.2 |
$x^{20} - 6 x^{19} + 17 x^{18} - 26 x^{17} - x^{16} + 108 x^{15} - 316 x^{14} + 596 x^{13} - 778 x^{12} + 593 x^{11} + 141 x^{10} - 1079 x^{9} + 1334 x^{8} - 706 x^{7} - 89 x^{6} + 406 x^{5} - 337 x^{4} + 144 x^{3} - 33 x^{2} - x + 1$ |
$20$ |
[6,7] |
$-\,5^{10}\cdot 1039^{3}\cdot 1049^{3}$ |
$3$ |
$17.9925889145$ |
$75427.25085221183$ |
|
|
? |
$C_2^8.S_5\wr C_2$ (as 20T1022) |
trivial |
$2$ |
$12$ |
$49260.6111116$ |
| 20.6.126...568.1 |
$x^{20} - 2 x^{19} + 3 x^{18} - 4 x^{17} + 3 x^{16} + 6 x^{15} - 2 x^{14} - 6 x^{13} - 39 x^{12} - 50 x^{11} - 11 x^{10} + 12 x^{9} - 66 x^{8} - 124 x^{7} - 69 x^{6} + 104 x^{5} + 315 x^{4} + 258 x^{3} + 41 x^{2} - 18 x + 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 11^{16}\cdot 263$ |
$3$ |
$17.9945889787$ |
$422.99734255999795$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$54056.9333164$ |
| 20.6.127...375.1 |
$x^{20} - 2 x^{19} - 2 x^{18} + 4 x^{17} - 7 x^{16} - 7 x^{15} + 4 x^{14} - 6 x^{13} - 3 x^{12} + 7 x^{11} + 8 x^{10} + 3 x^{9} - 7 x^{8} + 16 x^{7} + 4 x^{6} - 14 x^{5} - 3 x^{4} - 2 x^{3} + 9 x^{2} - 5 x + 1$ |
$20$ |
[6,7] |
$-\,5^{10}\cdot 61^{3}\cdot 17939^{3}$ |
$3$ |
$18.0033867819$ |
$2339.1013231581055$ |
|
|
? |
$S_5\wr C_2$ (as 20T540) |
trivial |
$2$ |
$12$ |
$55429.8771495$ |
| 20.6.131...624.1 |
$x^{20} + x^{18} + 3 x^{16} + 7 x^{14} - 3 x^{12} - 4 x^{10} - 13 x^{8} - 25 x^{6} + 7 x^{4} + 4 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 23^{4}$ |
$3$ |
$18.0291276303$ |
$125.0903140152616$ |
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T749) |
trivial |
$2$ |
$12$ |
$59115.4547078$ |
| 20.6.131...624.2 |
$x^{20} - 3 x^{16} - 11 x^{14} - 3 x^{12} + 88 x^{10} - 29 x^{8} - 143 x^{6} + 89 x^{4} + 11 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 23^{4}$ |
$3$ |
$18.0291276303$ |
$125.0903140152616$ |
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T749) |
trivial |
$2$ |
$12$ |
$57031.6899109$ |
| 20.6.131...624.3 |
$x^{20} - 5 x^{18} - 6 x^{16} + 54 x^{14} - 48 x^{12} - 44 x^{10} + 26 x^{8} + 43 x^{6} + 6 x^{4} - 27 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 23^{4}$ |
$3$ |
$18.0291276303$ |
$125.0903140152616$ |
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T749) |
trivial |
$2$ |
$12$ |
$60394.5057066$ |
| 20.6.175...272.1 |
$x^{20} - 10 x^{19} + 46 x^{18} - 128 x^{17} + 222 x^{16} - 182 x^{15} - 183 x^{14} + 903 x^{13} - 1724 x^{12} + 2232 x^{11} - 2147 x^{10} + 1501 x^{9} - 608 x^{8} - 122 x^{7} + 474 x^{6} - 480 x^{5} + 309 x^{4} - 142 x^{3} + 45 x^{2} - 9 x + 1$ |
$20$ |
[6,7] |
$-\,2^{18}\cdot 19^{8}\cdot 83^{5}$ |
$3$ |
$18.2893368846$ |
$339.0239372588379$ |
|
|
? |
$C_2^{10}.C_2^4:S_5$ (as 20T989) |
trivial |
$2$ |
$12$ |
$65267.3556072$ |
| 20.6.176...863.1 |
$x^{20} - 2 x^{19} - 4 x^{18} + 11 x^{17} + 4 x^{16} - 32 x^{15} + 10 x^{14} + 84 x^{13} - 138 x^{12} + 18 x^{11} + 163 x^{10} - 146 x^{9} - 2 x^{8} + 43 x^{7} - 5 x^{6} + x^{5} - 8 x^{4} - x^{2} + x + 1$ |
$20$ |
[6,7] |
$-\,11^{16}\cdot 727^{3}$ |
$2$ |
$18.2955011325$ |
$183.60366814782304$ |
|
|
? |
$C_2^5.C_2\wr C_5$ (as 20T303) |
trivial |
$2$ |
$12$ |
$58570.9500066$ |
| 20.6.176...863.2 |
$x^{20} - 5 x^{19} + 3 x^{18} + 24 x^{17} - 54 x^{16} + 43 x^{15} - 25 x^{14} + 40 x^{13} - 60 x^{12} + 80 x^{11} - 93 x^{10} + 80 x^{9} - 60 x^{8} + 40 x^{7} - 25 x^{6} + 43 x^{5} - 54 x^{4} + 24 x^{3} + 3 x^{2} - 5 x + 1$ |
$20$ |
[6,7] |
$-\,11^{16}\cdot 727^{3}$ |
$2$ |
$18.2955011325$ |
$183.60366814782304$ |
|
|
? |
$C_2^5.C_2\wr C_5$ (as 20T303) |
trivial |
$2$ |
$12$ |
$58570.9500066$ |
| 20.6.185...896.1 |
$x^{20} - 19 x^{16} + 19 x^{12} + 40 x^{8} - 15 x^{4} - 9$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 3^{6}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$18.3406002338$ |
$1211.3687418709646$ |
|
|
? |
$C_4^4.(C_2^2\times S_5)$ (as 20T807) |
trivial |
$2$ |
$12$ |
$71739.1085642$ |
| 20.6.187...875.1 |
$x^{20} - 3 x^{19} + 3 x^{18} - 10 x^{17} + 18 x^{16} - 12 x^{15} + 27 x^{14} - 18 x^{13} + 32 x^{12} - 59 x^{11} - 5 x^{10} - 29 x^{9} - 66 x^{8} + 26 x^{7} - 4 x^{6} + 15 x^{5} + 39 x^{4} + 3 x^{3} - 15 x^{2} - 3 x + 1$ |
$20$ |
[6,7] |
$-\,5^{10}\cdot 11^{9}\cdot 13^{8}$ |
$3$ |
$18.35223879$ |
$74.67210901493156$ |
|
|
? |
$A_5^2:D_4$ (as 20T547) |
trivial |
$2$ |
$12$ |
$73807.5502835$ |
| 20.6.227...384.1 |
$x^{20} - 2 x^{16} - 10 x^{14} - 14 x^{12} + 11 x^{10} + 51 x^{8} - 13 x^{6} - x^{4} - 6 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{12}\cdot 19^{8}\cdot 83^{6}$ |
$3$ |
$18.5286110811$ |
$339.0239372588379$ |
|
|
? |
$C_2^{10}.C_2^4:S_5$ (as 20T991) |
trivial |
$2$ |
$12$ |
$74641.7142718$ |
| 20.6.248...056.1 |
$x^{20} + 4 x^{18} - 2 x^{16} - 20 x^{14} - 18 x^{12} - 6 x^{10} + 43 x^{8} + 84 x^{6} + 10 x^{4} - 6 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 727^{2}$ |
$3$ |
$18.611551871$ |
$703.2778998665901$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$70618.4983706$ |
| 20.6.248...056.2 |
$x^{20} + 7 x^{18} + 8 x^{16} - 34 x^{14} - 108 x^{12} - 112 x^{10} - 13 x^{8} + 43 x^{6} + 14 x^{4} - 4 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 11^{16}\cdot 727^{2}$ |
$3$ |
$18.611551871$ |
$703.2778998665901$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$12$ |
$61407.6347505$ |
