| 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 |
| 20.0.143...464.1 |
$x^{20} - 5 x^{19} + 11 x^{18} - 11 x^{17} - x^{16} + 16 x^{15} - 20 x^{14} + 11 x^{13} + 5 x^{12} - 20 x^{11} + 27 x^{10} - 2 x^{9} - 22 x^{8} + 40 x^{7} - 9 x^{6} - 5 x^{5} + 17 x^{4} - 7 x^{3} + 5 x^{2} - 3 x + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 31^{3}\cdot 2617^{4}$ |
$3$ |
$11.4229952561$ |
$2574.3568552858005$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$130.791344738$ |
| 20.0.290...573.1 |
$x^{20} - 3 x^{19} + 3 x^{18} - 3 x^{17} + 8 x^{16} - 13 x^{15} + 16 x^{14} - 18 x^{13} + 22 x^{12} - 30 x^{11} + 32 x^{10} - 25 x^{9} + 18 x^{8} - 17 x^{7} + 25 x^{6} - 31 x^{5} + 29 x^{4} - 21 x^{3} + 11 x^{2} - 4 x + 1$ |
$20$ |
[0,10] |
$67\cdot 83^{2}\cdot 631\cdot 1777^{4}$ |
$4$ |
$11.8345160476$ |
$78965.03661114836$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$194.247728439$ |
| 20.2.294...176.1 |
$x^{20} + 3 x^{18} + 4 x^{16} + x^{14} - 3 x^{12} - 6 x^{10} - 9 x^{8} - 13 x^{6} - 12 x^{4} - 6 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{12}\cdot 41^{2}\cdot 4549^{4}$ |
$3$ |
$11.8434865297$ |
$1690.4514439867726$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$265.437747416$ |
| 20.0.437...197.1 |
$x^{20} - 6 x^{19} + 17 x^{18} - 27 x^{17} + 25 x^{16} - 17 x^{15} + 29 x^{14} - 63 x^{13} + 80 x^{12} - 61 x^{11} + 45 x^{10} - 59 x^{9} + 68 x^{8} - 47 x^{7} + 33 x^{6} - 39 x^{5} + 32 x^{4} - 9 x^{3} - x^{2} - x + 1$ |
$20$ |
[0,10] |
$19^{4}\cdot 31\cdot 113^{2}\cdot 151^{4}\cdot 163$ |
$5$ |
$12.0790121721$ |
$40474.28122894834$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$244.455853451$ |
| 20.0.719...248.1 |
$x^{20} - 2 x^{19} + 2 x^{18} + 5 x^{17} - 6 x^{16} + 29 x^{14} - 29 x^{13} + 14 x^{12} + 44 x^{11} - 47 x^{10} + 59 x^{9} - 5 x^{8} - 6 x^{7} + 50 x^{6} - 15 x^{5} + 25 x^{4} - x^{3} + 5 x^{2} + x + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 23^{3}\cdot 4903^{4}$ |
$3$ |
$12.3841599299$ |
$2816.90655385967$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$345.321179188$ |
| 20.2.755...576.1 |
$x^{20} - 5 x^{19} + 8 x^{18} + x^{17} - 19 x^{16} + 14 x^{15} + 41 x^{14} - 98 x^{13} + 67 x^{12} + 34 x^{11} - 74 x^{10} - 22 x^{9} + 160 x^{8} - 198 x^{7} + 131 x^{6} - 45 x^{5} + 5 x^{4} - x^{3} + x^{2} - x - 1$ |
$20$ |
[2,9] |
$-\,2^{8}\cdot 41^{3}\cdot 4549^{4}$ |
$3$ |
$12.4140292443$ |
$1584.094691677515$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$456.948326416$ |
| 20.2.442...775.1 |
$x^{20} - 3 x^{19} + 2 x^{18} - 2 x^{17} + 9 x^{16} - 4 x^{15} - 7 x^{14} - 8 x^{13} + 12 x^{12} + 9 x^{11} + 2 x^{10} - 6 x^{9} - 17 x^{8} - 8 x^{7} + 13 x^{6} + 20 x^{5} + x^{4} - 10 x^{3} - 4 x^{2} + 1$ |
$20$ |
[2,9] |
$-\,5^{2}\cdot 37^{2}\cdot 2239\cdot 4903^{4}$ |
$4$ |
$13.5616413903$ |
$45065.46510355796$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$1195.16140002$ |
| 20.2.575...051.1 |
$x^{20} - 5 x^{19} + 16 x^{18} - 32 x^{17} + 47 x^{16} - 40 x^{15} + 10 x^{14} + 52 x^{13} - 98 x^{12} + 140 x^{11} - 116 x^{10} + 88 x^{9} - 17 x^{8} - 13 x^{7} + 40 x^{6} - 19 x^{5} + 6 x^{4} + 8 x^{3} - 3 x^{2} + x + 1$ |
$20$ |
[2,9] |
$-\,107^{2}\cdot 5419\cdot 5519^{4}$ |
$3$ |
$13.7406226851$ |
$56569.411584353606$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$1309.92814534$ |
| 20.0.622...237.1 |
$x^{20} - 5 x^{19} + 16 x^{18} - 29 x^{17} + 36 x^{16} - 38 x^{15} + 40 x^{14} - 48 x^{13} + 56 x^{12} - 56 x^{11} + 52 x^{10} - 38 x^{9} + 29 x^{8} - 32 x^{7} + 35 x^{6} - 31 x^{5} + 19 x^{4} - 8 x^{3} + x + 1$ |
$20$ |
[0,10] |
$59\cdot 317^{2}\cdot 1567\cdot 1609^{4}$ |
$4$ |
$13.7947293921$ |
$217154.16185051578$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$1008.60467498$ |
| 20.2.101...056.1 |
$x^{20} + 3 x^{18} + 6 x^{16} + x^{14} - 18 x^{12} - 24 x^{10} + 32 x^{8} + 4 x^{6} - 14 x^{4} + 5 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{10}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$14.1378691663$ |
$2457.7078021372286$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$2613.59151852$ |
| 20.2.226...271.1 |
$x^{20} - 2 x^{19} + 6 x^{18} - 12 x^{17} + 16 x^{16} - 14 x^{15} + 4 x^{14} + 20 x^{13} - 41 x^{12} + 32 x^{11} + 17 x^{10} - 58 x^{9} + 32 x^{8} + 20 x^{7} - 22 x^{6} - 14 x^{5} + 22 x^{4} + 2 x^{3} - 15 x^{2} + 8 x - 1$ |
$20$ |
[2,9] |
$-\,37^{3}\cdot 61\cdot 127\cdot 4903^{4}$ |
$4$ |
$14.7156454298$ |
$37488.54514381693$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$2699.12600302$ |
| 20.4.362...301.1 |
$x^{20} - 2 x^{19} + x^{18} + 6 x^{17} - 11 x^{16} + 8 x^{15} - 8 x^{14} + 13 x^{13} - 5 x^{12} - 14 x^{11} + 61 x^{10} - 127 x^{9} + 84 x^{8} + 97 x^{7} - 201 x^{6} + 104 x^{5} + 38 x^{4} - 75 x^{3} + 40 x^{2} - 10 x + 1$ |
$20$ |
[4,8] |
$7^{2}\cdot 79\cdot 139\cdot 317^{2}\cdot 1609^{4}$ |
$5$ |
$15.0646495679$ |
$198005.6664618465$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$5309.13325698$ |
| 20.0.471...797.1 |
$x^{20} - x^{19} + 6 x^{17} + 6 x^{16} - 10 x^{15} + 6 x^{14} + 35 x^{13} + 7 x^{12} - 43 x^{11} + 21 x^{10} + 81 x^{9} - 11 x^{8} - 85 x^{7} - 16 x^{6} + 46 x^{5} + 20 x^{4} - 11 x^{3} - 7 x^{2} + x + 1$ |
$20$ |
[0,10] |
$11^{2}\cdot 17^{4}\cdot 157\cdot 4153^{4}$ |
$4$ |
$15.2649863973$ |
$11042.097943778619$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$4027.0552228$ |
| 20.2.567...503.1 |
$x^{20} - 7 x^{19} + 21 x^{18} - 32 x^{17} + 20 x^{16} + 5 x^{15} + 19 x^{14} - 139 x^{13} + 290 x^{12} - 332 x^{11} + 214 x^{10} - 41 x^{9} - 66 x^{8} + 109 x^{7} - 116 x^{6} + 70 x^{5} - 7 x^{4} - 21 x^{3} + 16 x^{2} - 6 x + 1$ |
$20$ |
[2,9] |
$-\,13^{4}\cdot 199^{2}\cdot 347^{4}\cdot 34583$ |
$4$ |
$15.4057556869$ |
$176195.2856548665$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$4584.73768101$ |
| 20.2.818...536.1 |
$x^{20} + 3 x^{18} + 5 x^{16} + x^{14} - 13 x^{12} - 33 x^{10} - 45 x^{8} - 40 x^{6} - 22 x^{4} - 7 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{20}\cdot 29^{2}\cdot 5519^{4}$ |
$3$ |
$15.690683934185413$ |
|
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$5666.358556753085$ |
| 20.4.888...721.1 |
$x^{20} - x^{19} - 5 x^{18} + 4 x^{17} + 6 x^{16} - 15 x^{15} + 4 x^{14} + 23 x^{13} - 35 x^{12} - x^{11} + 54 x^{10} - 42 x^{9} - 27 x^{8} + 52 x^{7} - 4 x^{6} - 28 x^{5} + 9 x^{4} + 10 x^{3} - 5 x^{2} - 2 x + 1$ |
$20$ |
[4,8] |
$7^{4}\cdot 43^{2}\cdot 1217^{4}\cdot 91249$ |
$4$ |
$15.7556373088$ |
$182827.95172784713$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$8340.78759245$ |
| 20.0.153...128.1 |
$x^{20} - 8 x^{19} + 41 x^{18} - 158 x^{17} + 488 x^{16} - 1257 x^{15} + 2766 x^{14} - 5250 x^{13} + 8676 x^{12} - 12524 x^{11} + 15790 x^{10} - 17345 x^{9} + 16545 x^{8} - 13566 x^{7} + 9511 x^{6} - 5636 x^{5} + 2826 x^{4} - 1169 x^{3} + 396 x^{2} - 101 x + 17$ |
$20$ |
[0,10] |
$2^{10}\cdot 23^{2}\cdot 4903^{5}$ |
$3$ |
$16.1921028872$ |
$5620.051995779199$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$4932.22193704$ |
| 20.0.153...128.2 |
$x^{20} - 5 x^{19} + 11 x^{18} - 22 x^{17} + 46 x^{16} - 72 x^{15} + 97 x^{14} - 162 x^{13} + 299 x^{12} - 473 x^{11} + 755 x^{10} - 1267 x^{9} + 1607 x^{8} - 1475 x^{7} + 1169 x^{6} - 541 x^{5} + 146 x^{4} - 28 x^{3} - 5 x^{2} + x + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 23^{2}\cdot 4903^{5}$ |
$3$ |
$16.192102887219818$ |
$5620.051995779199$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$5008.165093338482$ |
| 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 |
$2$ |
$12$ |
$16081.5836543$ |
| 20.4.191...669.1 |
$x^{20} - 10 x^{19} + 38 x^{18} - 57 x^{17} - 21 x^{16} + 168 x^{15} - 120 x^{14} - 162 x^{13} + 207 x^{12} + 110 x^{11} - 210 x^{10} - 45 x^{9} + 150 x^{8} - 24 x^{7} - 42 x^{6} + 24 x^{5} - 6 x^{4} - 6 x^{3} + 2 x^{2} + 3 x + 1$ |
$20$ |
[4,8] |
$7^{4}\cdot 37\cdot 101^{2}\cdot 107\cdot 431^{4}\cdot 571$ |
$6$ |
$16.3703618787$ |
$829963.7933747472$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$12532.023224$ |
| 20.4.196...657.1 |
$x^{20} - x^{19} - 10 x^{18} + 6 x^{17} + 49 x^{16} - 16 x^{15} - 139 x^{14} + 18 x^{13} + 246 x^{12} - 4 x^{11} - 271 x^{10} + 9 x^{9} + 178 x^{8} - 55 x^{7} - 77 x^{6} + 77 x^{5} + 42 x^{4} - 33 x^{3} - 20 x^{2} + 1$ |
$20$ |
[4,8] |
$673^{2}\cdot 4673\cdot 5519^{4}$ |
$3$ |
$16.3928088316$ |
$131745.44831226618$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$12285.9437192$ |
| 20.4.365...281.1 |
$x^{20} - 4 x^{19} + 13 x^{18} - 26 x^{17} + 47 x^{16} - 56 x^{15} + 45 x^{14} + x^{13} - 70 x^{12} + 144 x^{11} - 181 x^{10} + 139 x^{9} - 107 x^{8} + 64 x^{7} - 11 x^{6} + 36 x^{5} - 39 x^{4} - 14 x^{3} + 28 x^{2} - 10 x + 1$ |
$20$ |
[4,8] |
$13^{2}\cdot 9769\cdot 38569^{4}$ |
$3$ |
$16.9096460252$ |
$69986.76512741535$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$18692.3707427$ |
| 20.4.419...749.1 |
$x^{20} - 10 x^{19} + 36 x^{18} - 39 x^{17} - 80 x^{16} + 232 x^{15} - 45 x^{14} - 379 x^{13} + 238 x^{12} + 353 x^{11} - 255 x^{10} - 260 x^{9} + 109 x^{8} + 177 x^{7} + 6 x^{6} - 76 x^{5} - 32 x^{4} + 6 x^{3} + 13 x^{2} + 5 x + 1$ |
$20$ |
[4,8] |
$17^{6}\cdot 439^{4}\cdot 4674181$ |
$3$ |
$17.0260089264$ |
$379246.61576445535$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$20960.0221484$ |
| 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 |
$2$ |
$12$ |
$30546.6775597$ |
| 20.8.613...432.1 |
$x^{20} - 4 x^{19} + 3 x^{18} + 16 x^{17} - 33 x^{16} + 16 x^{15} - 6 x^{14} - 28 x^{13} + 93 x^{12} - 128 x^{11} + 157 x^{10} - 128 x^{9} + 93 x^{8} - 28 x^{7} - 6 x^{6} + 16 x^{5} - 33 x^{4} + 16 x^{3} + 3 x^{2} - 4 x + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 17\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$17.3530776484$ |
|
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$53843.9084365$ |
| 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 |
$2$ |
$12$ |
$44839.5762854$ |
| 20.4.843...641.1 |
$x^{20} - 2 x^{19} - 8 x^{18} + 8 x^{17} + 41 x^{16} + x^{15} - 126 x^{14} - 52 x^{13} + 224 x^{12} + 90 x^{11} - 265 x^{10} - 66 x^{9} + 279 x^{8} - 75 x^{7} - 123 x^{6} + 68 x^{5} + 10 x^{4} + 7 x^{3} - 13 x^{2} + x + 1$ |
$20$ |
[4,8] |
$23\cdot 37^{2}\cdot 4903^{4}\cdot 463303$ |
$4$ |
$17.6316192367$ |
$1390363.259101376$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$25914.5181586$ |
| 20.10.897...152.1 |
$x^{20} - 12 x^{18} + 63 x^{16} - 194 x^{14} + 385 x^{12} - 493 x^{10} + 371 x^{8} - 100 x^{6} - 80 x^{4} + 83 x^{2} - 23$ |
$20$ |
[10,5] |
$-\,2^{10}\cdot 23\cdot 641^{2}\cdot 5519^{4}$ |
$4$ |
$17.6872075229$ |
$33086.76993763445$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$14$ |
$88065.812548$ |
| 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 |
$2$ |
$12$ |
$46451.8466661$ |
| 20.2.111...304.1 |
$x^{20} - 2 x^{10} - 13 x^{8} - 19 x^{6} - 18 x^{4} - 9 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{20}\cdot 107^{2}\cdot 5519^{4}$ |
$3$ |
$17.878885877354737$ |
|
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$19951.314381307206$ |
| 20.0.136...657.1 |
$x^{20} + 8 x^{18} - x^{17} + 32 x^{16} - 6 x^{15} + 83 x^{14} - 19 x^{13} + 148 x^{12} - 42 x^{11} + 182 x^{10} - 66 x^{9} + 149 x^{8} - 70 x^{7} + 83 x^{6} - 38 x^{5} + 39 x^{4} - 3 x^{3} + 14 x^{2} + 2 x + 1$ |
$20$ |
[0,10] |
$673\cdot 4673^{2}\cdot 5519^{4}$ |
$3$ |
$18.0606098143$ |
$131745.44831226618$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$20050.4278799$ |
| 20.4.147...661.1 |
$x^{20} - 10 x^{19} + 54 x^{18} - 201 x^{17} + 570 x^{16} - 1296 x^{15} + 2430 x^{14} - 3816 x^{13} + 5037 x^{12} - 5548 x^{11} + 4954 x^{10} - 3315 x^{9} + 1182 x^{8} + 654 x^{7} - 1625 x^{6} + 1665 x^{5} - 1149 x^{4} + 563 x^{3} - 183 x^{2} + 33 x - 1$ |
$20$ |
[4,8] |
$13^{4}\cdot 167^{2}\cdot 347^{4}\cdot 1272989$ |
$4$ |
$18.1287326808$ |
$979280.2021347107$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$34303.2919413$ |
| 20.8.148...281.1 |
$x^{20} - x^{19} - 7 x^{18} + 12 x^{17} + 19 x^{16} - 58 x^{15} - 30 x^{14} + 152 x^{13} + 41 x^{12} - 241 x^{11} - 49 x^{10} + 241 x^{9} + 41 x^{8} - 152 x^{7} - 30 x^{6} + 58 x^{5} + 19 x^{4} - 12 x^{3} - 7 x^{2} + x + 1$ |
$20$ |
[8,6] |
$23^{2}\cdot 97\cdot 9497\cdot 13219^{4}$ |
$4$ |
$18.1397130503$ |
$529227.3809365876$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$78334.2734658$ |
| 20.0.175...973.1 |
$x^{20} - 4 x^{19} + 8 x^{18} - 12 x^{17} + 16 x^{16} - 16 x^{15} + 13 x^{14} - 8 x^{13} + 3 x^{12} + x^{11} - 3 x^{10} + x^{9} + 3 x^{8} - 8 x^{7} + 13 x^{6} - 16 x^{5} + 16 x^{4} - 12 x^{3} + 8 x^{2} - 4 x + 1$ |
$20$ |
[0,10] |
$17^{4}\cdot 67^{2}\cdot 157\cdot 4153^{4}$ |
$4$ |
$18.287933481$ |
$27251.640666205767$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$18257.9773729$ |
| 20.8.229...721.1 |
$x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 160 x^{16} + 260 x^{15} + 251 x^{14} - 799 x^{13} - 123 x^{12} + 1297 x^{11} - 52 x^{10} - 1396 x^{9} + 42 x^{8} + 1031 x^{7} + 58 x^{6} - 475 x^{5} - 69 x^{4} + 110 x^{3} + 20 x^{2} - 7 x - 1$ |
$20$ |
[8,6] |
$3^{6}\cdot 61\cdot 11119^{4}\cdot 33829$ |
$4$ |
$18.5387510375$ |
$262363.2427246622$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$99704.5727669$ |
| 20.4.288...616.1 |
$x^{20} - 8 x^{19} + 32 x^{18} - 82 x^{17} + 140 x^{16} - 156 x^{15} + 110 x^{14} - 102 x^{13} + 279 x^{12} - 524 x^{11} + 572 x^{10} - 496 x^{9} + 596 x^{8} - 1090 x^{7} + 1552 x^{6} - 1204 x^{5} + 440 x^{4} - 68 x^{3} + 12 x^{2} + 4 x - 7$ |
$20$ |
[4,8] |
$2^{30}\cdot 29\cdot 5519^{4}$ |
$3$ |
$18.7515413623$ |
|
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$67624.8817862$ |
| 20.2.294...184.1 |
$x^{20} - 2 x^{19} - 5 x^{18} + 11 x^{17} + 4 x^{16} + 7 x^{15} - 24 x^{14} - 114 x^{13} + 265 x^{12} - 158 x^{11} + 42 x^{10} - 13 x^{9} - 441 x^{8} + 1555 x^{7} - 2024 x^{6} + 800 x^{5} + 522 x^{4} - 426 x^{3} - 53 x^{2} + 68 x + 17$ |
$20$ |
[2,9] |
$-\,2^{10}\cdot 17^{4}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$18.7684691336$ |
$2457.7078021372286$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$51635.2099322$ |
| 20.8.306...329.1 |
$x^{20} - 10 x^{19} + 51 x^{18} - 174 x^{17} + 434 x^{16} - 820 x^{15} + 1178 x^{14} - 1240 x^{13} + 828 x^{12} - 80 x^{11} - 576 x^{10} + 762 x^{9} - 484 x^{8} + 78 x^{7} + 143 x^{6} - 138 x^{5} + 49 x^{4} + 6 x^{3} - 11 x^{2} + 3 x + 1$ |
$20$ |
[8,6] |
$163^{2}\cdot 521\cdot 38569^{4}$ |
$3$ |
$18.8065148986$ |
$57231.068371995294$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$135360.741258$ |
| 20.6.359...371.1 |
$x^{20} - 10 x^{19} + 50 x^{18} - 165 x^{17} + 396 x^{16} - 720 x^{15} + 998 x^{14} - 1016 x^{13} + 647 x^{12} - 8 x^{11} - 565 x^{10} + 762 x^{9} - 549 x^{8} + 168 x^{7} + 95 x^{6} - 145 x^{5} + 76 x^{4} - 12 x^{3} - 8 x^{2} + 5 x - 1$ |
$20$ |
[6,7] |
$-\,29^{2}\cdot 61^{4}\cdot 223\cdot 397^{4}\cdot 557$ |
$5$ |
$18.9570986919$ |
$295351.5123086388$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$77038.0420551$ |
| 20.10.367...119.1 |
$x^{20} - 10 x^{19} + 37 x^{18} - 48 x^{17} - 57 x^{16} + 252 x^{15} - 222 x^{14} - 204 x^{13} + 562 x^{12} - 304 x^{11} - 307 x^{10} + 517 x^{9} - 173 x^{8} - 184 x^{7} + 202 x^{6} - 49 x^{5} - 37 x^{4} + 34 x^{3} - 7 x^{2} - 3 x + 1$ |
$20$ |
[10,5] |
$-\,317\cdot 443\cdot 673^{2}\cdot 4903^{4}$ |
$4$ |
$18.9787250672$ |
$680722.2920464703$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$14$ |
$183861.307452$ |
| 20.0.404...232.1 |
$x^{20} - x^{19} - 2 x^{18} + 2 x^{17} + 4 x^{16} + x^{15} - 3 x^{14} - 11 x^{13} + 35 x^{12} + 47 x^{11} - 82 x^{10} - 101 x^{9} + 90 x^{8} - 10 x^{7} - 120 x^{6} - 240 x^{5} + 194 x^{4} + 212 x^{3} + 121 x^{2} + 141 x + 113$ |
$20$ |
[0,10] |
$2^{10}\cdot 17^{2}\cdot 61^{4}\cdot 397^{5}$ |
$4$ |
$19.0688052653$ |
$2353.509054325091$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$9$ |
$31263.4014863$ |
| 20.4.404...232.1 |
$x^{20} - 8 x^{19} + 26 x^{18} - 56 x^{17} + 102 x^{16} - 85 x^{15} - 82 x^{14} + 77 x^{13} + 226 x^{12} - 97 x^{11} - 302 x^{10} + 100 x^{9} + 54 x^{8} + 151 x^{7} - 86 x^{6} + 45 x^{5} - 95 x^{4} + 16 x^{3} - x^{2} + 12 x + 1$ |
$20$ |
[4,8] |
$2^{10}\cdot 17^{2}\cdot 61^{4}\cdot 397^{5}$ |
$4$ |
$19.0688052653$ |
$2353.509054325091$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$53587.169989$ |
| 20.2.410...683.1 |
$x^{20} - 2 x^{19} + x^{18} - 2 x^{17} + 4 x^{16} - 4 x^{15} + 3 x^{14} - 4 x^{13} + 6 x^{12} - 5 x^{11} + 3 x^{10} - 5 x^{9} + 6 x^{8} - 4 x^{7} + 3 x^{6} - 4 x^{5} + 4 x^{4} - 2 x^{3} + x^{2} - 2 x + 1$ |
$20$ |
[2,9] |
$-\,17^{4}\cdot 67\cdot 157^{2}\cdot 4153^{4}$ |
$4$ |
$19.0834053783$ |
$27251.640666205767$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$37069.1208027$ |
| 20.4.722...989.1 |
$x^{20} - 10 x^{19} + 54 x^{18} - 201 x^{17} + 566 x^{16} - 1264 x^{15} + 2296 x^{14} - 3438 x^{13} + 4260 x^{12} - 4344 x^{11} + 3564 x^{10} - 2206 x^{9} + 788 x^{8} + 240 x^{7} - 706 x^{6} + 707 x^{5} - 474 x^{4} + 226 x^{3} - 73 x^{2} + 14 x - 1$ |
$20$ |
[4,8] |
$601^{2}\cdot 5783^{4}\cdot 178909$ |
$3$ |
$19.6313287129$ |
$788551.2532150336$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$11$ |
$68718.4236355$ |
| 20.6.903...176.1 |
$x^{20} - 5 x^{18} + x^{16} + 20 x^{14} - 13 x^{12} - 27 x^{10} + 18 x^{8} + 17 x^{6} - 6 x^{4} - 6 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{10}\cdot 223^{2}\cdot 36497^{4}$ |
$3$ |
$19.8516640789$ |
$10927.646358816351$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$161706.663899$ |
| 20.6.979...843.1 |
$x^{20} - 5 x^{19} + 16 x^{18} - 34 x^{17} + 49 x^{16} - 74 x^{15} + 105 x^{14} - 152 x^{13} + 165 x^{12} - 33 x^{11} + 54 x^{10} - 156 x^{9} - 129 x^{8} + 77 x^{7} + 99 x^{6} + 127 x^{5} - 16 x^{4} - 21 x^{3} - 21 x^{2} - 4 x + 1$ |
$20$ |
[6,7] |
$-\,163\cdot 521^{2}\cdot 38569^{4}$ |
$3$ |
$19.9315387508$ |
$57231.068371995294$ |
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$12$ |
$173153.406765$ |
| 20.8.117...281.1 |
$x^{20} - 10 x^{19} + 37 x^{18} - 48 x^{17} - 51 x^{16} + 204 x^{15} - 96 x^{14} - 246 x^{13} + 206 x^{12} + 194 x^{11} - 127 x^{10} - 229 x^{9} + 69 x^{8} + 222 x^{7} - 84 x^{6} - 105 x^{5} + 61 x^{4} + 18 x^{3} - 17 x^{2} + x + 1$ |
$20$ |
[8,6] |
$673^{2}\cdot 5519^{4}\cdot 278609$ |
$3$ |
$20.1105219433$ |
$1017267.8048493426$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$244647.75657$ |
| 20.8.159...709.1 |
$x^{20} - 10 x^{19} + 48 x^{18} - 147 x^{17} + 314 x^{16} - 472 x^{15} + 453 x^{14} - 113 x^{13} - 472 x^{12} + 947 x^{11} - 935 x^{10} + 412 x^{9} + 219 x^{8} - 517 x^{7} + 410 x^{6} - 156 x^{5} - x^{4} + 30 x^{3} - 11 x^{2} + 1$ |
$20$ |
[8,6] |
$557^{2}\cdot 5519^{4}\cdot 552821$ |
$3$ |
$20.4214617343$ |
$1303617.1363337473$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$13$ |
$267209.649132$ |
| 20.2.249...416.1 |
$x^{20} + 11 x^{18} + 51 x^{16} + 127 x^{14} + 176 x^{12} + 118 x^{10} - 58 x^{6} - 41 x^{4} - 11 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{20}\cdot 461^{2}\cdot 5783^{4}$ |
$3$ |
$20.8848195239$ |
|
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$10$ |
$88197.5643425$ |
