| 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 |
Unit signature rank |
Max $p$ |
| 20.0.291...125.1 |
$x^{20} - x^{15} + x^{10} - x^{5} + 1$ |
$20$ |
(0, 10) |
$5^{35}$ |
$1$ |
$16.7185076244$ |
$16.71850762441055$ |
✓ |
✓ |
✓ |
$C_{20}$ (as 20T1) |
trivial |
trivial |
$50$ |
$9$ |
$161406.837641$ |
$0$ |
$5$ |
| 20.4.201...625.1 |
$x^{20} - 10 x^{19} + 65 x^{18} - 300 x^{17} + 1100 x^{16} - 3292 x^{15} + 8290 x^{14} - 17760 x^{13} + 32700 x^{12} - 51900 x^{11} + 71069 x^{10} - 83695 x^{9} + 84205 x^{8} - 71600 x^{7} + 50575 x^{6} - 28938 x^{5} + 12870 x^{4} - 4155 x^{3} + 850 x^{2} - 75 x + 1$ |
$20$ |
(4, 8) |
$5^{35}\cdot 149\cdot 4649$ |
$3$ |
$32.751017593$ |
|
|
|
✓ |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$[2, 2]$ |
$2$ |
$11$ |
$13140476.0365$ |
$2$ |
$4649$ |
| 20.12.305...000.1 |
$x^{20} - 30 x^{16} + 50 x^{14} + 100 x^{12} - 275 x^{10} + 125 x^{8} + 100 x^{6} - 75 x^{4} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$64.03879099807864$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$15$ |
$84216140.1082$ |
$11$ |
$5$ |
| 20.16.305...000.1 |
$x^{20} - 5 x^{18} - 55 x^{16} + 500 x^{14} - 1425 x^{12} + 1630 x^{10} - 500 x^{8} - 400 x^{6} + 325 x^{4} - 75 x^{2} + 5$ |
$20$ |
(16, 2) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$61.32375635173039$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$17$ |
$244626255.274$ |
$15$ |
$5$ |
| 20.20.305...000.1 |
$x^{20} - 20 x^{18} + 170 x^{16} - 800 x^{14} + 2275 x^{12} - 4005 x^{10} + 4300 x^{8} - 2675 x^{6} + 875 x^{4} - 125 x^{2} + 5$ |
$20$ |
(20, 0) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$33.4370152488211$ |
|
✓ |
✓ |
$C_{20}$ (as 20T1) |
trivial |
$[2]$ |
$2$ |
$19$ |
$550507572.449$ |
$19$ |
$5$ |
| 20.8.305...000.1 |
$x^{20} - 30 x^{16} - 50 x^{14} + 100 x^{12} + 275 x^{10} + 125 x^{8} - 100 x^{6} - 75 x^{4} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$61.32375635173039$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$13$ |
$33412794.2639$ |
$7$ |
$5$ |
| 20.4.305...000.1 |
$x^{20} + 5 x^{18} - 55 x^{16} - 500 x^{14} - 1425 x^{12} - 1630 x^{10} - 500 x^{8} + 400 x^{6} + 325 x^{4} + 75 x^{2} + 5$ |
$20$ |
(4, 8) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$64.03879099807864$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$11$ |
$15256309.0062$ |
$3$ |
$5$ |
| 20.8.305...000.2 |
$x^{20} - 5 x^{18} - 30 x^{16} + 100 x^{14} + 375 x^{12} - 370 x^{10} - 1625 x^{8} - 1025 x^{6} - 150 x^{4} + 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$61.32375635173039$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$13$ |
$41537455.7885$ |
$7$ |
$5$ |
| 20.4.305...000.2 |
$x^{20} + 15 x^{18} + 70 x^{16} + 75 x^{14} - 250 x^{12} - 615 x^{10} - 125 x^{8} + 725 x^{6} + 675 x^{4} + 175 x^{2} + 5$ |
$20$ |
(4, 8) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$11$ |
$16006290.1842$ |
$3$ |
$5$ |
| 20.12.305...000.2 |
$x^{20} + 5 x^{18} - 30 x^{16} - 100 x^{14} + 375 x^{12} + 370 x^{10} - 1625 x^{8} + 1025 x^{6} - 150 x^{4} - 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
$64.03879099807864$ |
|
|
? |
$C_2^4:C_{20}$ (as 20T75) |
trivial |
$[2]$ |
$2$ |
$15$ |
$85814772.3938$ |
$11$ |
$5$ |
| 20.16.305...000.2 |
$x^{20} - 10 x^{18} - 5 x^{16} + 225 x^{14} - 700 x^{12} + 885 x^{10} - 425 x^{8} - 75 x^{6} + 150 x^{4} - 50 x^{2} + 5$ |
$20$ |
(16, 2) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$17$ |
$234840526.098$ |
$15$ |
$5$ |
| 20.4.305...000.3 |
$x^{20} + 10 x^{18} - 5 x^{16} - 225 x^{14} - 700 x^{12} - 885 x^{10} - 425 x^{8} + 75 x^{6} + 150 x^{4} + 50 x^{2} + 5$ |
$20$ |
(4, 8) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$11$ |
$15020406.8688$ |
$3$ |
$5$ |
| 20.8.305...000.3 |
$x^{20} - 5 x^{18} - 30 x^{16} + 100 x^{14} + 250 x^{12} - 245 x^{10} - 875 x^{8} - 650 x^{6} - 125 x^{4} + 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$41335581.7467$ |
$7$ |
$5$ |
| 20.12.305...000.3 |
$x^{20} - 5 x^{18} - 5 x^{16} + 50 x^{14} - 25 x^{12} - 120 x^{10} + 100 x^{8} + 75 x^{6} - 75 x^{4} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$95200018.9819$ |
$11$ |
$5$ |
| 20.16.305...000.3 |
$x^{20} - 15 x^{18} + 70 x^{16} - 75 x^{14} - 250 x^{12} + 615 x^{10} - 125 x^{8} - 725 x^{6} + 675 x^{4} - 175 x^{2} + 5$ |
$20$ |
(16, 2) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$17$ |
$246441466.734$ |
$15$ |
$5$ |
| 20.12.305...000.4 |
$x^{20} - 5 x^{18} - 30 x^{16} + 75 x^{14} + 200 x^{12} - 245 x^{10} - 400 x^{8} + 250 x^{6} + 175 x^{4} - 75 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$106576856.771$ |
$11$ |
$5$ |
| 20.8.305...000.4 |
$x^{20} - 10 x^{18} - 5 x^{16} + 200 x^{14} - 100 x^{12} - 490 x^{10} - 175 x^{8} + 200 x^{6} + 175 x^{4} + 50 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$39699241.7213$ |
$7$ |
$5$ |
| 20.4.305...000.4 |
$x^{20} + 15 x^{18} + 70 x^{16} + 100 x^{14} - 100 x^{12} - 365 x^{10} - 225 x^{8} + 100 x^{6} + 150 x^{4} + 50 x^{2} + 5$ |
$20$ |
(4, 8) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$11$ |
$17619967.2985$ |
$3$ |
$5$ |
| 20.16.305...000.4 |
$x^{20} - 10 x^{18} + 20 x^{16} + 75 x^{14} - 325 x^{12} + 385 x^{10} - 50 x^{8} - 225 x^{6} + 175 x^{4} - 50 x^{2} + 5$ |
$20$ |
(16, 2) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$17$ |
$263278636.427$ |
$15$ |
$5$ |
| 20.12.305...000.5 |
$x^{20} + 10 x^{18} - 5 x^{16} - 200 x^{14} - 100 x^{12} + 490 x^{10} - 175 x^{8} - 200 x^{6} + 175 x^{4} - 50 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$109862969.24$ |
$11$ |
$5$ |
| 20.16.305...000.5 |
$x^{20} - 15 x^{18} + 70 x^{16} - 100 x^{14} - 100 x^{12} + 365 x^{10} - 225 x^{8} - 100 x^{6} + 150 x^{4} - 50 x^{2} + 5$ |
$20$ |
(16, 2) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$17$ |
$260905793.539$ |
$15$ |
$5$ |
| 20.8.305...000.5 |
$x^{20} + 5 x^{18} - 30 x^{16} - 100 x^{14} + 75 x^{12} + 370 x^{10} + 125 x^{8} - 225 x^{6} - 100 x^{4} + 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$43075970.3077$ |
$7$ |
$5$ |
| 20.4.305...000.5 |
$x^{20} + 10 x^{18} + 20 x^{16} - 75 x^{14} - 325 x^{12} - 385 x^{10} - 50 x^{8} + 225 x^{6} + 175 x^{4} + 50 x^{2} + 5$ |
$20$ |
(4, 8) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$11$ |
$19058738.6415$ |
$3$ |
$5$ |
| 20.8.305...000.6 |
$x^{20} + 5 x^{18} - 30 x^{16} - 125 x^{14} + 325 x^{12} + 870 x^{10} - 1000 x^{8} - 1850 x^{6} - 600 x^{4} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$42797251.7468$ |
$7$ |
$5$ |
| 20.12.305...000.6 |
$x^{20} + 5 x^{18} - 55 x^{16} + 75 x^{14} + 225 x^{12} - 630 x^{10} + 375 x^{8} + 175 x^{6} - 200 x^{4} + 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$103467479.403$ |
$11$ |
$5$ |
| 20.12.305...000.7 |
$x^{20} - 55 x^{16} + 175 x^{14} + 50 x^{12} - 650 x^{10} + 350 x^{8} + 525 x^{6} - 425 x^{4} + 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$96829282.034$ |
$11$ |
$5$ |
| 20.8.305...000.7 |
$x^{20} + 5 x^{18} - 5 x^{16} - 50 x^{14} - 25 x^{12} + 120 x^{10} + 100 x^{8} - 75 x^{6} - 75 x^{4} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$37760948.8113$ |
$7$ |
$5$ |
| 20.8.305...000.8 |
$x^{20} - 55 x^{16} - 175 x^{14} + 50 x^{12} + 650 x^{10} + 350 x^{8} - 525 x^{6} - 425 x^{4} - 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$40025631.0323$ |
$7$ |
$5$ |
| 20.12.305...000.8 |
$x^{20} - 10 x^{18} + 20 x^{16} + 75 x^{14} - 275 x^{12} + 60 x^{10} + 450 x^{8} - 200 x^{6} - 175 x^{4} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$111748018.644$ |
$11$ |
$5$ |
| 20.12.305...000.9 |
$x^{20} + 5 x^{18} - 30 x^{16} - 125 x^{14} + 250 x^{12} + 495 x^{10} - 650 x^{8} - 250 x^{6} + 325 x^{4} - 75 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$109624562.128$ |
$11$ |
$5$ |
| 20.8.305...000.9 |
$x^{20} - 25 x^{16} + 200 x^{12} + 50 x^{10} - 625 x^{8} - 375 x^{6} + 625 x^{4} + 625 x^{2} + 125$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$37047306.6062$ |
$7$ |
$5$ |
| 20.8.305...000.10 |
$x^{20} - 30 x^{16} - 25 x^{14} + 275 x^{12} + 400 x^{10} - 625 x^{8} - 1250 x^{6} - 325 x^{4} + 75 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$42725445.4838$ |
$7$ |
$5$ |
| 20.12.305...000.10 |
$x^{20} - 5 x^{18} - 30 x^{16} + 100 x^{14} + 75 x^{12} - 370 x^{10} + 125 x^{8} + 225 x^{6} - 100 x^{4} - 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$109783211.052$ |
$11$ |
$5$ |
| 20.12.305...000.11 |
$x^{20} - 10 x^{18} + 20 x^{16} + 75 x^{14} - 275 x^{12} + 10 x^{10} + 700 x^{8} - 575 x^{6} - 150 x^{4} + 200 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$102324976.609$ |
$11$ |
$5$ |
| 20.8.305...000.11 |
$x^{20} - 5 x^{18} - 55 x^{16} - 75 x^{14} + 225 x^{12} + 630 x^{10} + 375 x^{8} - 175 x^{6} - 200 x^{4} - 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$42381519.5438$ |
$7$ |
$5$ |
| 20.8.305...000.12 |
$x^{20} + 10 x^{18} + 20 x^{16} - 50 x^{14} - 175 x^{12} - 10 x^{10} + 325 x^{8} + 200 x^{6} - 50 x^{4} - 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$44365687.873$ |
$7$ |
$5$ |
| 20.12.305...000.12 |
$x^{20} - 10 x^{18} + 20 x^{16} + 75 x^{14} - 250 x^{12} - 115 x^{10} + 700 x^{8} + 25 x^{6} - 475 x^{4} - 125 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$107713790.293$ |
$11$ |
$5$ |
| 20.12.305...000.13 |
$x^{20} + 5 x^{18} - 30 x^{16} - 100 x^{14} + 250 x^{12} + 245 x^{10} - 875 x^{8} + 650 x^{6} - 125 x^{4} - 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$89953193.5798$ |
$11$ |
$5$ |
| 20.8.305...000.13 |
$x^{20} + 5 x^{18} - 30 x^{16} - 75 x^{14} + 200 x^{12} + 245 x^{10} - 400 x^{8} - 250 x^{6} + 175 x^{4} + 75 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$46170606.15$ |
$7$ |
$5$ |
| 20.12.305...000.14 |
$x^{20} - 30 x^{16} + 25 x^{14} + 275 x^{12} - 400 x^{10} - 625 x^{8} + 1250 x^{6} - 325 x^{4} - 75 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$94874457.1077$ |
$11$ |
$5$ |
| 20.8.305...000.14 |
$x^{20} + 10 x^{18} + 20 x^{16} - 50 x^{14} - 125 x^{12} + 115 x^{10} + 200 x^{8} - 150 x^{6} - 50 x^{4} + 25 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$38493173.106$ |
$7$ |
$5$ |
| 20.12.305...000.15 |
$x^{20} + 5 x^{18} - 30 x^{16} - 100 x^{14} + 125 x^{12} + 245 x^{10} - 275 x^{8} - 125 x^{6} + 225 x^{4} - 75 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$99474868.0145$ |
$11$ |
$5$ |
| 20.8.305...000.15 |
$x^{20} - 5 x^{18} - 30 x^{16} + 100 x^{14} + 125 x^{12} - 245 x^{10} - 275 x^{8} + 125 x^{6} + 225 x^{4} + 75 x^{2} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$41296021.421$ |
$7$ |
$5$ |
| 20.8.305...000.16 |
$x^{20} + 10 x^{18} + 20 x^{16} - 75 x^{14} - 275 x^{12} - 60 x^{10} + 450 x^{8} + 200 x^{6} - 175 x^{4} + 5$ |
$20$ |
(8, 6) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$13$ |
$43642516.4604$ |
$7$ |
$5$ |
| 20.12.305...000.16 |
$x^{20} - 10 x^{18} + 20 x^{16} + 50 x^{14} - 175 x^{12} + 10 x^{10} + 325 x^{8} - 200 x^{6} - 50 x^{4} + 25 x^{2} + 5$ |
$20$ |
(12, 4) |
$2^{20}\cdot 5^{35}$ |
$2$ |
$33.4370152488$ |
|
|
|
? |
$C_2^8.C_{20}$ (as 20T344) |
trivial |
$[2]$ |
$2$ |
$15$ |
$110321323.455$ |
$11$ |
$5$ |
| 20.0.623...125.1 |
$x^{20} - 20 x^{18} + 170 x^{16} - 800 x^{14} + 2275 x^{12} - 3480 x^{10} - 950 x^{8} + 15700 x^{6} - 25375 x^{4} + 13000 x^{2} + 28880$ |
$20$ |
(0, 10) |
$5^{35}\cdot 11^{8}$ |
$2$ |
$43.626922829798765$ |
$55.449016844865795$ |
|
|
|
$C_4\times D_5$ (as 20T6) |
$[5]$ |
$[5]$ |
$10$ |
$9$ |
$403949827.0826757$ |
$0$ |
$11$ |
| 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) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$592110201.324$ |
$3$ |
$5$ |
| 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) |
$[2]$ |
$[4]$ |
$2$ |
$13$ |
$2336346283.4270334$ |
$7$ |
$5$ |
| 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) |
$[2]$ |
$[4]$ |
$2$ |
$11$ |
$521864701.779$ |
$3$ |
$5$ |
| 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) |
$[4]$ |
$[4]$ |
$2$ |
$9$ |
$107859748.433$ |
$0$ |
$5$ |
