| 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 |
| 20.0.379...597.1 |
$x^{20} - 5 x^{19} + 6 x^{18} + 14 x^{17} - 46 x^{16} + 25 x^{15} + 73 x^{14} - 122 x^{13} - 8 x^{12} + 193 x^{11} - 146 x^{10} - 144 x^{9} + 308 x^{8} - 127 x^{7} - 128 x^{6} + 161 x^{5} - 46 x^{4} - 26 x^{3} + 25 x^{2} - 8 x + 1$ |
$20$ |
[0,10] |
$3^{15}\cdot 31^{9}$ |
$2$ |
$10.6894092173$ |
$50.12639424180317$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$6$ |
$9$ |
$181.753135766$ |
| 20.0.682...416.1 |
$x^{20} - 2 x^{19} + x^{18} - 3 x^{17} + 6 x^{16} - x^{15} + 3 x^{14} - 11 x^{13} - x^{12} + 6 x^{11} + 7 x^{10} - 5 x^{9} + 9 x^{8} - 16 x^{7} - x^{6} + x^{5} + 8 x^{4} + 4 x^{3} + 7 x^{2} - 3 x + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 7^{10}\cdot 11^{9}$ |
$3$ |
$11.0075515033$ |
$45.79651518704091$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$87.3510823497$ |
| 20.0.111...613.1 |
$x^{20} - 5 x^{19} + 13 x^{18} - 26 x^{17} + 43 x^{16} - 55 x^{15} + 46 x^{14} - 7 x^{13} - 29 x^{12} + 39 x^{11} - 38 x^{10} + 9 x^{9} + 17 x^{8} + 13 x^{7} + 12 x^{6} - 133 x^{5} + 222 x^{4} - 264 x^{3} + 258 x^{2} - 152 x + 37$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}$ |
$2$ |
$12.660481948$ |
$37.24576910533872$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$412.2805664510847$ |
| 20.0.849...888.1 |
$x^{20} - 4 x^{18} + 18 x^{16} - 40 x^{14} + 92 x^{12} - 160 x^{10} + 352 x^{8} - 352 x^{6} + 528 x^{4} - 704 x^{2} + 352$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{9}$ |
$2$ |
$19.7906107226$ |
$58.22183708777889$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$28703.22707298631$ |
| 20.0.849...888.2 |
$x^{20} + 4 x^{18} + 18 x^{16} + 40 x^{14} + 92 x^{12} + 160 x^{10} + 352 x^{8} + 352 x^{6} + 528 x^{4} + 704 x^{2} + 352$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{9}$ |
$2$ |
$19.7906107226$ |
$58.22183708777889$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$56696.74736807444$ |
| 20.0.163...933.1 |
$x^{20} - 4 x^{19} - 3 x^{18} + 37 x^{17} + 6 x^{16} - 200 x^{15} + 798 x^{13} + 330 x^{12} - 2049 x^{11} - 1572 x^{10} + 4196 x^{9} + 6198 x^{8} - 1827 x^{7} - 7821 x^{6} - 1859 x^{5} + 5240 x^{4} + 2048 x^{3} - 2368 x^{2} - 512 x + 1024$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{13}$ |
$2$ |
$20.4516699461$ |
$37.24576910533872$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$60077.16722605073$ |
| 20.0.661...037.1 |
$x^{20} - 2 x^{19} + 16 x^{17} - 46 x^{16} - 88 x^{15} + 270 x^{14} - 322 x^{13} + 491 x^{12} + 33 x^{11} + 325 x^{10} - 1159 x^{9} + 5856 x^{8} - 10579 x^{7} + 5165 x^{6} - 13069 x^{5} + 13317 x^{4} + 7840 x^{3} + 32779 x^{2} + 1658 x + 5671$ |
$20$ |
[0,10] |
$3^{10}\cdot 7^{15}\cdot 11^{9}$ |
$3$ |
$21.9285979822$ |
$64.51156445742586$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$69540.12284114186$ |
| 20.10.283...944.1 |
$x^{20} - 8 x^{19} + 18 x^{18} + 16 x^{17} - 104 x^{16} - 24 x^{15} + 635 x^{14} - 1058 x^{13} + 283 x^{12} + 534 x^{11} + 1610 x^{10} - 6072 x^{9} + 5568 x^{8} + 4548 x^{7} - 15658 x^{6} + 16262 x^{5} - 8694 x^{4} + 2450 x^{3} - 315 x^{2} + 8 x + 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 3^{10}\cdot 71^{9}$ |
$3$ |
$23.586140429$ |
$160.59171529628927$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$14$ |
$2799620.57584$ |
| 20.10.283...944.2 |
$x^{20} - 6 x^{19} + 2 x^{18} + 60 x^{17} - 143 x^{16} - 66 x^{15} + 727 x^{14} - 856 x^{13} - 826 x^{12} + 2784 x^{11} - 1345 x^{10} - 2840 x^{9} + 3809 x^{8} + 76 x^{7} - 2883 x^{6} + 1470 x^{5} + 514 x^{4} - 510 x^{3} - 6 x^{2} + 50 x + 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 3^{10}\cdot 71^{9}$ |
$3$ |
$23.586140429$ |
$160.59171529628927$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$14$ |
$2724257.01428$ |
| 20.0.117...088.1 |
$x^{20} - 98 x^{14} + 392 x^{12} + 686 x^{10} + 3773 x^{8} + 52822 x^{4} + 184877$ |
$20$ |
[0,10] |
$2^{20}\cdot 7^{15}\cdot 11^{9}$ |
$3$ |
$25.3209638959$ |
$74.49153821067743$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$133966.88636361615$ |
| 20.0.357...609.1 |
$x^{20} - x^{19} + 9 x^{18} - 2 x^{17} - x^{16} - 6 x^{15} + 56 x^{14} + 164 x^{13} - 104 x^{12} - 47 x^{11} + 697 x^{10} + 362 x^{9} - 875 x^{8} - 616 x^{7} + 136 x^{6} + 1180 x^{5} + 1411 x^{4} + 721 x^{3} + 1737 x^{2} + 1486 x + 1103$ |
$20$ |
[0,10] |
$11^{9}\cdot 19^{15}$ |
$2$ |
$26.7726838164$ |
$78.76234126420148$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$635235.6127553139$ |
| 20.0.109...125.1 |
$x^{20} - 2 x^{19} - 12 x^{17} + 52 x^{16} - 228 x^{15} + 410 x^{14} + 294 x^{13} + 1303 x^{12} - 7107 x^{11} + 4413 x^{10} - 25589 x^{9} + 83612 x^{8} + 69081 x^{7} - 141961 x^{6} - 440055 x^{5} - 613169 x^{4} - 59794 x^{3} + 3668677 x^{2} + 3387292 x + 2233351$ |
$20$ |
[0,10] |
$5^{10}\cdot 7^{15}\cdot 11^{9}$ |
$3$ |
$28.3096982635$ |
$83.2840715937989$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$623585.5305503157$ |
| 20.0.124...208.1 |
$x^{20} - 4 x^{18} + 90 x^{16} - 72 x^{14} + 4684 x^{12} + 1792 x^{10} - 56320 x^{8} + 538208 x^{6} + 489808 x^{4} - 2811072 x^{2} + 5153632$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{13}$ |
$2$ |
$31.9696390859$ |
$58.22183708777889$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$5058464.3856691625$ |
| 20.0.124...208.2 |
$x^{20} + 4 x^{18} + 90 x^{16} + 72 x^{14} + 4684 x^{12} - 1792 x^{10} - 56320 x^{8} - 538208 x^{6} + 489808 x^{4} + 2811072 x^{2} + 5153632$ |
$20$ |
[0,10] |
$2^{55}\cdot 11^{13}$ |
$2$ |
$31.9696390859$ |
$58.22183708777889$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$5307069.668434434$ |
| 20.0.501...512.1 |
$x^{20} + 12 x^{18} + 162 x^{16} + 1080 x^{14} + 7452 x^{12} + 38880 x^{10} + 256608 x^{8} + 769824 x^{6} + 3464208 x^{4} + 13856832 x^{2} + 20785248$ |
$20$ |
[0,10] |
$2^{55}\cdot 3^{10}\cdot 11^{9}$ |
$3$ |
$34.2783432843$ |
$100.84317994603103$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$2295848.9348199023$ |
| 20.0.501...512.2 |
$x^{20} - 12 x^{18} + 162 x^{16} - 1080 x^{14} + 7452 x^{12} - 38880 x^{10} + 256608 x^{8} - 769824 x^{6} + 3464208 x^{4} - 13856832 x^{2} + 20785248$ |
$20$ |
[0,10] |
$2^{55}\cdot 3^{10}\cdot 11^{9}$ |
$3$ |
$34.2783432843$ |
$100.84317994603103$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$3611756.8811914893$ |
| 20.0.967...717.1 |
$x^{20} - 2 x^{19} + 54 x^{18} - 97 x^{17} + 1454 x^{16} - 2178 x^{15} + 24203 x^{14} - 29499 x^{13} + 271844 x^{12} - 266297 x^{11} + 2138211 x^{10} - 1737644 x^{9} + 11918963 x^{8} - 8666349 x^{7} + 46563112 x^{6} - 30553298 x^{5} + 119110990 x^{4} - 62702972 x^{3} + 173029525 x^{2} - 53651341 x + 103856419$ |
$20$ |
[0,10] |
$3^{10}\cdot 7^{15}\cdot 11^{13}$ |
$3$ |
$35.4233314463$ |
$64.51156445742586$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$7036306.946137199$ |
| 20.0.120...112.1 |
$x^{20} + 784 x^{14} + 6272 x^{12} - 21952 x^{10} + 241472 x^{8} + 13522432 x^{4} + 189314048$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{15}\cdot 11^{9}$ |
$3$ |
$35.809250554$ |
$105.34694361957366$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$3576806.093381649$ |
| 20.0.120...112.2 |
$x^{20} - 784 x^{14} + 6272 x^{12} + 21952 x^{10} + 241472 x^{8} + 13522432 x^{4} + 189314048$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{15}\cdot 11^{9}$ |
$3$ |
$35.809250554$ |
$105.34694361957366$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$3970499.4781347266$ |
| 20.0.171...408.1 |
$x^{20} - 8 x^{19} + 100 x^{18} - 572 x^{17} + 4226 x^{16} - 19266 x^{15} + 104804 x^{14} - 393036 x^{13} + 1692149 x^{12} - 5256998 x^{11} + 18451103 x^{10} - 46979228 x^{9} + 135712461 x^{8} - 274849484 x^{7} + 653189606 x^{6} - 999145718 x^{5} + 1945306784 x^{4} - 2034072024 x^{3} + 3221261412 x^{2} - 1765189036 x + 2248377097$ |
$20$ |
[0,10] |
$2^{20}\cdot 7^{15}\cdot 11^{13}$ |
$3$ |
$40.9033398922$ |
$74.49153821067743$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 22]$ |
$2$ |
$9$ |
$1071550.255200949$ |
| 20.0.524...369.1 |
$x^{20} - 7 x^{19} + 2 x^{18} + 77 x^{17} - 40 x^{16} - 515 x^{15} - 469 x^{14} + 3987 x^{13} + 4811 x^{12} - 19300 x^{11} - 31273 x^{10} + 71697 x^{9} + 143855 x^{8} - 306777 x^{7} - 232705 x^{6} + 640998 x^{5} + 637422 x^{4} - 1606905 x^{3} - 390130 x^{2} + 1125311 x + 470981$ |
$20$ |
[0,10] |
$11^{13}\cdot 19^{15}$ |
$2$ |
$43.2484399278$ |
$78.76234126420148$ |
|
|
|
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$580402652.6153839$ |
| 20.0.693...312.1 |
$x^{20} + 2646 x^{14} + 31752 x^{12} - 166698 x^{10} + 2750517 x^{8} + 346565142 x^{4} + 10916801973$ |
$20$ |
[0,10] |
$2^{20}\cdot 3^{10}\cdot 7^{15}\cdot 11^{9}$ |
$4$ |
$43.8571959644$ |
$129.02312891485172$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2, 2]$ |
$2$ |
$9$ |
$15627805.568647645$ |
| 20.20.706...408.1 |
$x^{20} - 8 x^{19} - 12 x^{18} + 226 x^{17} - 123 x^{16} - 2666 x^{15} + 3138 x^{14} + 17018 x^{13} - 24119 x^{12} - 63492 x^{11} + 92520 x^{10} + 138594 x^{9} - 188890 x^{8} - 165550 x^{7} + 196554 x^{6} + 91516 x^{5} - 90361 x^{4} - 14680 x^{3} + 11874 x^{2} - 1144 x + 1$ |
$20$ |
[20,0] |
$2^{30}\cdot 3^{15}\cdot 71^{9}$ |
$3$ |
$43.8987537813$ |
$298.8948611725355$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$19$ |
$7244239011.09$ |
| 20.0.706...408.1 |
$x^{20} - 8 x^{19} + 48 x^{18} - 194 x^{17} + 657 x^{16} - 1808 x^{15} + 4398 x^{14} - 9430 x^{13} + 18493 x^{12} - 33000 x^{11} + 56352 x^{10} - 91110 x^{9} + 153485 x^{8} - 242326 x^{7} + 407778 x^{6} - 515444 x^{5} + 857558 x^{4} - 668326 x^{3} + 1079706 x^{2} - 137098 x + 8641$ |
$20$ |
[0,10] |
$2^{30}\cdot 3^{15}\cdot 71^{9}$ |
$3$ |
$43.8987537813$ |
$298.8948611725355$ |
✓ |
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 82]$ |
$2$ |
$9$ |
$528205.092142$ |
| 20.20.786...125.1 |
$x^{20} - x^{19} - 39 x^{18} + 37 x^{17} + 566 x^{16} - 487 x^{15} - 4062 x^{14} + 3233 x^{13} + 16223 x^{12} - 12098 x^{11} - 37808 x^{10} + 26337 x^{9} + 51642 x^{8} - 32819 x^{7} - 40081 x^{6} + 21890 x^{5} + 16403 x^{4} - 6600 x^{3} - 3045 x^{2} + 528 x + 179$ |
$20$ |
[20,0] |
$5^{10}\cdot 29^{5}\cdot 211^{8}$ |
$3$ |
$44.1364586255$ |
$871.1841498558122$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$19$ |
$9457791448.16$ |
| 20.0.829...000.1 |
$x^{20} + 20 x^{18} + 450 x^{16} + 5000 x^{14} + 57500 x^{12} + 500000 x^{10} + 5500000 x^{8} + 27500000 x^{6} + 206250000 x^{4} + 1375000000 x^{2} + 3437500000$ |
$20$ |
[0,10] |
$2^{55}\cdot 5^{10}\cdot 11^{9}$ |
$3$ |
$44.2531508919$ |
$130.18798550319198$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$97052994.67506364$ |
| 20.0.829...000.2 |
$x^{20} - 20 x^{18} + 450 x^{16} - 5000 x^{14} + 57500 x^{12} - 500000 x^{10} + 5500000 x^{8} - 27500000 x^{6} + 206250000 x^{4} - 1375000000 x^{2} + 3437500000$ |
$20$ |
[0,10] |
$2^{55}\cdot 5^{10}\cdot 11^{9}$ |
$3$ |
$44.2531508919$ |
$130.18798550319198$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.154...437.1 |
$x^{20} - 2 x^{19} - 40 x^{17} + 150 x^{16} - 1600 x^{15} + 5758 x^{14} + 2870 x^{13} + 43163 x^{12} - 142599 x^{11} - 97899 x^{10} - 2473867 x^{9} + 8140696 x^{8} + 19766269 x^{7} - 16898855 x^{6} - 143712065 x^{5} - 87670111 x^{4} - 1144870468 x^{3} + 6342631671 x^{2} + 17038017814 x + 27778159711$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 13^{10}$ |
$3$ |
$45.6480168355$ |
$134.29153030339126$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.160...125.1 |
$x^{20} - 2 x^{19} - 86 x^{18} + 155 x^{17} + 3456 x^{16} - 5762 x^{15} - 85725 x^{14} + 132481 x^{13} + 1467570 x^{12} - 2030017 x^{11} - 18368583 x^{10} + 21318004 x^{9} + 172316543 x^{8} - 153736813 x^{7} - 1206080098 x^{6} + 717065378 x^{5} + 6066158054 x^{4} - 1732999488 x^{3} - 19912550031 x^{2} + 988623515 x + 33019779529$ |
$20$ |
[0,10] |
$5^{10}\cdot 7^{15}\cdot 11^{13}$ |
$3$ |
$45.7313242529$ |
$83.2840715937989$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$76205249.56986351$ |
| 20.0.211...841.1 |
$x^{20} - x^{19} - 10 x^{18} - 2 x^{17} + 170 x^{16} + 545 x^{15} + 379 x^{14} + 69 x^{13} + 7629 x^{12} + 23760 x^{11} + 2312 x^{10} - 113524 x^{9} - 155820 x^{8} + 270476 x^{7} + 1530472 x^{6} + 4025380 x^{5} + 8730182 x^{4} + 12840750 x^{3} + 13160320 x^{2} + 12555242 x + 11688877$ |
$20$ |
[0,10] |
$3^{10}\cdot 11^{9}\cdot 19^{15}$ |
$3$ |
$46.3716486249$ |
$136.42037679267568$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$122053287.89335619$ |
| 20.0.368...000.1 |
$x^{20} + 35 x^{18} + 475 x^{16} + 3205 x^{14} + 11725 x^{12} + 24910 x^{10} + 31900 x^{8} + 24750 x^{6} + 11275 x^{4} + 2750 x^{2} + 275$ |
$20$ |
[0,10] |
$2^{20}\cdot 5^{26}\cdot 11^{9}$ |
$3$ |
$47.6779649049$ |
$198.3624281201519$ |
✓ |
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[5, 110]$ |
$2$ |
$9$ |
$1031961.46725$ |
| 20.0.645...125.1 |
$x^{20} - 2 x^{19} + 58 x^{17} - 193 x^{16} - 2188 x^{15} - 465 x^{14} - 7861 x^{13} + 91673 x^{12} - 34407 x^{11} + 607603 x^{10} + 3012761 x^{9} + 12205932 x^{8} - 10310764 x^{7} + 30457244 x^{6} - 323709400 x^{5} + 3839375256 x^{4} - 3757533269 x^{3} + 15771143512 x^{2} - 45579456448 x + 87786948061$ |
$20$ |
[0,10] |
$3^{10}\cdot 5^{10}\cdot 7^{15}\cdot 11^{9}$ |
$4$ |
$49.0338357394$ |
$144.25224346166357$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.749...137.1 |
$x^{20} - 2 x^{19} - 16 x^{18} + 63 x^{17} + 66 x^{16} - 591 x^{15} + 341 x^{14} + 1985 x^{13} - 5499 x^{12} - 2279 x^{11} + 18053 x^{10} - 21969 x^{9} + 18198 x^{8} + 143040 x^{7} + 68633 x^{6} + 205064 x^{5} + 552136 x^{4} + 56889 x^{3} + 560763 x^{2} + 160304 x + 137729$ |
$20$ |
[0,10] |
$11^{9}\cdot 43^{15}$ |
$2$ |
$49.4001252457$ |
$145.3298275879478$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
trivial |
$2$ |
$9$ |
$641704357.5703068$ |
| 20.0.225...237.1 |
$x^{20} - 2 x^{19} - 54 x^{17} + 199 x^{16} - 2748 x^{15} + 11855 x^{14} + 6363 x^{13} + 124321 x^{12} - 356967 x^{11} - 557925 x^{10} - 9062519 x^{9} + 34025996 x^{8} + 88733076 x^{7} - 64052500 x^{6} - 719171544 x^{5} + 789030112 x^{4} - 10400245765 x^{3} + 52659896224 x^{2} + 185883345808 x + 395131293061$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 17^{10}$ |
$3$ |
$52.2005043427$ |
$153.56824012867853$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.239...112.1 |
$x^{20} - 28 x^{18} + 882 x^{16} - 13720 x^{14} + 220892 x^{12} - 2689120 x^{10} + 41412448 x^{8} - 289887136 x^{6} + 3043814928 x^{4} - 28408939328 x^{2} + 99431287648$ |
$20$ |
[0,10] |
$2^{55}\cdot 7^{10}\cdot 11^{9}$ |
$3$ |
$52.361034266$ |
$154.04050180758$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.239...112.2 |
$x^{20} + 28 x^{18} + 882 x^{16} + 13720 x^{14} + 220892 x^{12} + 2689120 x^{10} + 41412448 x^{8} + 289887136 x^{6} + 3043814928 x^{4} + 28408939328 x^{2} + 99431287648$ |
$20$ |
[0,10] |
$2^{55}\cdot 7^{10}\cdot 11^{9}$ |
$3$ |
$52.361034266$ |
$154.04050180758$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.375...784.1 |
$x^{20} - 19 x^{18} + 152 x^{16} - 1444 x^{14} + 25270 x^{12} - 144039 x^{10} + 679041 x^{8} + 12901779 x^{4} - 27237089 x^{2} + 27237089$ |
$20$ |
[0,10] |
$2^{20}\cdot 11^{9}\cdot 19^{15}$ |
$3$ |
$53.5453676327$ |
$157.52468252840296$ |
|
|
|
$C_{10}\wr C_2$ (as 20T53) |
$[2]$ |
$2$ |
$9$ |
$1175128454.6309361$ |
| 20.0.686...013.1 |
$x^{20} - 2 x^{19} + 72 x^{17} - 242 x^{16} - 3504 x^{15} - 3202 x^{14} - 14490 x^{13} + 225499 x^{12} - 126135 x^{11} + 1940277 x^{10} + 10604317 x^{9} + 46160552 x^{8} - 13194435 x^{7} + 101111009 x^{6} - 1350280281 x^{5} + 23164696201 x^{4} - 25819961020 x^{3} + 106836459007 x^{2} - 399048852098 x + 964658227471$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 19^{10}$ |
$3$ |
$55.1857613877$ |
$162.35054360462078$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.734...192.1 |
$x^{20} - 4 x^{19} - 54 x^{18} + 144 x^{17} + 2405 x^{16} - 4352 x^{15} - 63982 x^{14} + 47192 x^{13} + 1404639 x^{12} - 403332 x^{11} - 20955572 x^{10} - 7617672 x^{9} + 273021994 x^{8} + 66920760 x^{7} - 2308326270 x^{6} - 1486736436 x^{5} + 18407809245 x^{4} + 3758832104 x^{3} - 74360770750 x^{2} - 49255787044 x + 279487159291$ |
$20$ |
[0,10] |
$2^{55}\cdot 3^{10}\cdot 11^{13}$ |
$3$ |
$55.3730391964$ |
$100.84317994603103$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
$[2, 2]$ |
$2$ |
$9$ |
$480489914.07005835$ |
| 20.0.734...192.2 |
$x^{20} - 4 x^{19} + 66 x^{18} - 144 x^{17} + 2429 x^{16} - 4256 x^{15} + 66002 x^{14} - 78616 x^{13} + 1344183 x^{12} - 942756 x^{11} + 21478084 x^{10} - 3538344 x^{9} + 277175770 x^{8} + 68785752 x^{7} + 2845773570 x^{6} + 1894261020 x^{5} + 22516220277 x^{4} + 18926594408 x^{3} + 116894317946 x^{2} + 100071545420 x + 314911118323$ |
$20$ |
[0,10] |
$2^{55}\cdot 3^{10}\cdot 11^{13}$ |
$3$ |
$55.3730391964$ |
$100.84317994603103$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.114...000.1 |
$x^{20} - 12250 x^{14} + 245000 x^{12} + 2143750 x^{10} + 58953125 x^{8} + 20633593750 x^{4} + 1805439453125$ |
$20$ |
[0,10] |
$2^{20}\cdot 5^{10}\cdot 7^{15}\cdot 11^{9}$ |
$4$ |
$56.6193965271$ |
$166.5681431875978$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.175...792.1 |
$x^{20} - 6 x^{19} - 117 x^{18} + 634 x^{17} + 7277 x^{16} - 34000 x^{15} - 299188 x^{14} + 1164480 x^{13} + 8847515 x^{12} - 27555888 x^{11} - 194166885 x^{10} + 458406564 x^{9} + 3167235334 x^{8} - 5238733956 x^{7} - 37554595669 x^{6} + 38600167906 x^{5} + 306909341114 x^{4} - 157170563398 x^{3} - 1559801944752 x^{2} + 222113646576 x + 3806977113521$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{15}\cdot 11^{13}$ |
$3$ |
$57.8460580219$ |
$105.34694361957366$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.175...792.2 |
$x^{20} - 8 x^{19} + 170 x^{18} - 1076 x^{17} + 13039 x^{16} - 68434 x^{15} + 600600 x^{14} - 2650522 x^{13} + 18371119 x^{12} - 68079464 x^{11} + 388231353 x^{10} - 1190535180 x^{9} + 5709357517 x^{8} - 14042016534 x^{7} + 57369907328 x^{6} - 106965671572 x^{5} + 375875514806 x^{4} - 475906101396 x^{3} + 1451235311405 x^{2} - 941629298346 x + 2524841438603$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{15}\cdot 11^{13}$ |
$3$ |
$57.8460580219$ |
$105.34694361957366$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.349...625.1 |
$x^{20} - x^{19} + 28 x^{18} - 2 x^{17} + 132 x^{16} + 925 x^{15} + 4597 x^{14} + 4515 x^{13} + 53419 x^{12} + 165614 x^{11} + 741564 x^{10} + 1419624 x^{9} + 3626130 x^{8} + 14990118 x^{7} + 31657670 x^{6} + 43648056 x^{5} + 60299602 x^{4} + 94712168 x^{3} + 696443374 x^{2} + 330515948 x + 42152299$ |
$20$ |
[0,10] |
$5^{10}\cdot 11^{9}\cdot 19^{15}$ |
$3$ |
$59.8655409535$ |
$176.11794913379123$ |
|
|
|
$C_{10}\wr C_2$ (as 20T53) |
$[2, 22]$ |
$2$ |
$9$ |
$355564701.5857714$ |
| 20.0.463...837.1 |
$x^{20} - 2 x^{19} + 86 x^{17} - 291 x^{16} - 5128 x^{15} - 8165 x^{14} - 24157 x^{13} + 471311 x^{12} - 327567 x^{11} + 4957725 x^{10} + 28845701 x^{9} + 138969016 x^{8} + 17023816 x^{7} + 265747180 x^{6} - 4273590944 x^{5} + 99672823022 x^{4} - 121309533205 x^{3} + 499850958234 x^{2} - 2285489898392 x + 6656093149231$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 23^{10}$ |
$3$ |
$60.7175384264$ |
$178.6244335854104$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.709...488.1 |
$x^{20} + 21168 x^{14} + 508032 x^{12} - 5334336 x^{10} + 176033088 x^{8} + 88720676352 x^{4} + 11178805220352$ |
$20$ |
[0,10] |
$2^{30}\cdot 3^{10}\cdot 7^{15}\cdot 11^{9}$ |
$4$ |
$62.0234413404$ |
$182.46625877119556$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.709...488.2 |
$x^{20} - 21168 x^{14} + 508032 x^{12} + 5334336 x^{10} + 176033088 x^{8} + 88720676352 x^{4} + 11178805220352$ |
$20$ |
[0,10] |
$2^{30}\cdot 3^{10}\cdot 7^{15}\cdot 11^{9}$ |
$4$ |
$62.0234413404$ |
$182.46625877119556$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.470...213.1 |
$x^{20} - 2 x^{19} - 96 x^{17} + 346 x^{16} - 8040 x^{15} + 50894 x^{14} + 32718 x^{13} + 1049707 x^{12} - 2397999 x^{11} - 10904667 x^{10} - 122674031 x^{9} + 673956560 x^{8} + 1783530285 x^{7} - 911324443 x^{6} - 17686730229 x^{5} + 202954019677 x^{4} - 785792800744 x^{3} + 3628004636611 x^{2} + 21873265752274 x + 79154483718199$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 29^{10}$ |
$3$ |
$68.1787818275$ |
$200.57460500072764$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.917...013.1 |
$x^{20} - 2 x^{19} + 114 x^{17} - 389 x^{16} - 9300 x^{15} - 27121 x^{14} - 54957 x^{13} + 1509397 x^{12} - 1325319 x^{11} + 21491823 x^{10} + 135093409 x^{9} + 803037260 x^{8} + 519847620 x^{7} + 1197335012 x^{6} - 25786596024 x^{5} + 987102681652 x^{4} - 1345126254829 x^{3} + 5543074970116 x^{2} - 34565255468696 x + 135033863407129$ |
$20$ |
[0,10] |
$7^{15}\cdot 11^{9}\cdot 31^{10}$ |
$3$ |
$70.4905802061$ |
$207.37566589090034$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
| 20.0.101...641.1 |
$x^{20} - x^{19} - 29 x^{18} - 2 x^{17} + 645 x^{16} + 2578 x^{15} - 3098 x^{14} - 2268 x^{13} + 241234 x^{12} + 737381 x^{11} - 1267971 x^{10} - 7923930 x^{9} + 4621179 x^{8} + 87517488 x^{7} + 260007308 x^{6} + 686312568 x^{5} + 2775269509 x^{4} + 5939873213 x^{3} + 6102106147 x^{2} + 12852126152 x + 22061643433$ |
$20$ |
[0,10] |
$7^{10}\cdot 11^{9}\cdot 19^{15}$ |
$3$ |
$70.8338633079$ |
$208.38556766227777$ |
|
|
? |
$C_{10}\wr C_2$ (as 20T53) |
not computed |
$2$ |
$9$ |
|
