| 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 |
| 20.0.405...161.1 |
$x^{20} - 6 x^{19} + 23 x^{18} - 66 x^{17} + 154 x^{16} - 304 x^{15} + 519 x^{14} - 778 x^{13} + 1036 x^{12} - 1233 x^{11} + 1317 x^{10} - 1265 x^{9} + 1093 x^{8} - 845 x^{7} + 580 x^{6} - 349 x^{5} + 180 x^{4} - 76 x^{3} + 25 x^{2} - 6 x + 1$ |
$20$ |
[0,10] |
$7^{2}\cdot 53^{6}\cdot 139^{4}$ |
$3$ |
$10.7249561432$ |
$227.08808863522543$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$62.9466310057$ |
| 20.0.278...609.1 |
$x^{20} - 2 x^{19} + 3 x^{18} - 12 x^{17} + 27 x^{16} - 39 x^{15} + 68 x^{14} - 127 x^{13} + 178 x^{12} - 215 x^{11} + 277 x^{10} - 328 x^{9} + 297 x^{8} - 211 x^{7} + 139 x^{6} - 82 x^{5} + 29 x^{4} + x^{3} - 3 x^{2} - x + 1$ |
$20$ |
[0,10] |
$7^{2}\cdot 53^{4}\cdot 139^{6}$ |
$3$ |
$11.8105308401$ |
$227.08808863522543$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$192.366272752$ |
| 20.0.294...176.1 |
$x^{20} + 6 x^{18} + 18 x^{16} + 39 x^{14} + 65 x^{12} + 73 x^{10} + 45 x^{8} + 4 x^{6} - 11 x^{4} - 2 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{12}\cdot 41^{2}\cdot 4549^{4}$ |
$3$ |
$11.8434865297$ |
$1452.6212370873382$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$198.57668435$ |
| 20.0.198...889.1 |
$x^{20} - 2 x^{19} + 4 x^{18} - 11 x^{15} + 24 x^{14} - 43 x^{13} + 44 x^{12} - 34 x^{11} + 35 x^{10} - 34 x^{9} + 44 x^{8} - 43 x^{7} + 24 x^{6} - 11 x^{5} + 4 x^{2} - 2 x + 1$ |
$20$ |
[0,10] |
$7^{4}\cdot 53^{6}\cdot 139^{4}$ |
$3$ |
$13.0288273445$ |
$612.7217858704773$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$628.341840881$ |
| 20.0.319...025.1 |
$x^{20} - 2 x^{19} + 8 x^{18} - 5 x^{17} + 11 x^{16} + 26 x^{15} - 5 x^{14} + 92 x^{13} + 59 x^{12} + 113 x^{11} + 187 x^{10} + 128 x^{9} + 183 x^{8} + 111 x^{7} + 103 x^{6} + 46 x^{5} + 41 x^{4} + 7 x^{3} + 10 x^{2} + 1$ |
$20$ |
[0,10] |
$5^{2}\cdot 61^{6}\cdot 397^{4}$ |
$3$ |
$13.3430173976$ |
$347.9727000786125$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$1002.60110756$ |
| 20.4.319...025.1 |
$x^{20} - 2 x^{19} + 7 x^{18} - 15 x^{17} + 30 x^{16} - 54 x^{15} + 95 x^{14} - 152 x^{13} + 221 x^{12} - 306 x^{11} + 361 x^{10} - 364 x^{9} + 297 x^{8} - 188 x^{7} + 58 x^{6} + 25 x^{5} - 36 x^{4} + 23 x^{3} - x^{2} - 2 x + 1$ |
$20$ |
[4,8] |
$5^{2}\cdot 61^{6}\cdot 397^{4}$ |
$3$ |
$13.3430173976$ |
$972.473178039969$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$1423.90275799$ |
| 20.0.459...784.1 |
$x^{20} + 4 x^{16} + 7 x^{12} + x^{10} + 7 x^{8} + 4 x^{4} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 7^{4}\cdot 23^{2}\cdot 431^{4}$ |
$4$ |
$13.5868206085$ |
$1009.013994448167$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$854.333134868$ |
| 20.0.809...225.1 |
$x^{20} - 7 x^{19} + 25 x^{18} - 62 x^{17} + 119 x^{16} - 190 x^{15} + 266 x^{14} - 324 x^{13} + 337 x^{12} - 289 x^{11} + 188 x^{10} - 95 x^{9} + 36 x^{8} + x^{7} - 4 x^{6} + x^{5} - 2 x^{4} + 2 x^{3} + x^{2} + 1$ |
$20$ |
[0,10] |
$5^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4}$ |
$4$ |
$13.9764939937$ |
$3427.1336419812988$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$1568.42062409$ |
| 20.4.809...225.1 |
$x^{20} - 7 x^{19} + 21 x^{18} - 30 x^{17} - 4 x^{16} + 114 x^{15} - 273 x^{14} + 403 x^{13} - 455 x^{12} + 450 x^{11} - 441 x^{10} + 450 x^{9} - 455 x^{8} + 403 x^{7} - 273 x^{6} + 114 x^{5} - 4 x^{4} - 30 x^{3} + 21 x^{2} - 7 x + 1$ |
$20$ |
[4,8] |
$5^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4}$ |
$4$ |
$13.9764939937$ |
$3427.1336419812988$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$2364.88052546$ |
| 20.0.136...841.1 |
$x^{20} - 4 x^{19} + 8 x^{18} - 17 x^{17} + 24 x^{16} - 15 x^{15} + 22 x^{14} + x^{13} - 8 x^{12} - 7 x^{11} - 47 x^{10} + 7 x^{9} - 8 x^{8} - x^{7} + 22 x^{6} + 15 x^{5} + 24 x^{4} + 17 x^{3} + 8 x^{2} + 4 x + 1$ |
$20$ |
[0,10] |
$7^{4}\cdot 53^{4}\cdot 139^{6}$ |
$3$ |
$14.3475987321$ |
$779.7368423473802$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$1436.72480458$ |
| 20.4.829...864.3 |
$x^{20} - 4 x^{18} + 2 x^{16} + 3 x^{14} + 9 x^{12} - 8 x^{10} - 8 x^{8} - 9 x^{6} + 10 x^{4} + 2 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 37^{2}\cdot 4903^{4}$ |
$3$ |
$15.701550731$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$7541.22384939$ |
| 20.4.829...864.4 |
$x^{20} - 3 x^{18} + 9 x^{16} - 15 x^{14} + 16 x^{12} - 14 x^{10} + 24 x^{8} - 34 x^{6} + 24 x^{4} - 8 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 37^{2}\cdot 4903^{4}$ |
$3$ |
$15.701550731$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$8593.00700994$ |
| 20.8.107...481.1 |
$x^{20} - 10 x^{18} - x^{17} + 37 x^{16} + 11 x^{15} - 49 x^{14} - x^{13} - 26 x^{12} - 121 x^{11} + 145 x^{10} + 314 x^{9} - 151 x^{8} - 350 x^{7} + 55 x^{6} + 193 x^{5} + 3 x^{4} - 51 x^{3} - 6 x^{2} + 5 x + 1$ |
$20$ |
[8,6] |
$29^{2}\cdot 61^{6}\cdot 397^{4}$ |
$3$ |
$15.9073139193$ |
$2342.025549741401$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$19460.7467832$ |
| 20.0.156...984.1 |
$x^{20} + 4 x^{18} + 5 x^{16} - 6 x^{14} - 3 x^{12} + 29 x^{10} + 42 x^{8} + 45 x^{6} + 44 x^{4} + 25 x^{2} + 16$ |
$20$ |
[0,10] |
$2^{4}\cdot 47^{2}\cdot 81509^{4}$ |
$3$ |
$16.2052933813$ |
$3914.5487607130403$ |
|
|
|
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$20593.1867582$ |
| 20.4.157...881.1 |
$x^{20} - 6 x^{19} + 13 x^{18} - 2 x^{17} - 44 x^{16} + 78 x^{15} - 18 x^{14} - 104 x^{13} + 112 x^{12} + 32 x^{11} - 133 x^{10} + 32 x^{9} + 112 x^{8} - 104 x^{7} - 18 x^{6} + 78 x^{5} - 44 x^{4} - 2 x^{3} + 13 x^{2} - 6 x + 1$ |
$20$ |
[4,8] |
$3^{2}\cdot 97^{2}\cdot 65657^{4}$ |
$3$ |
$16.2123326407$ |
$4371.06245665742$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$22110.3351774$ |
| 20.4.236...809.1 |
$x^{20} - 4 x^{17} - 8 x^{16} - 21 x^{15} - 43 x^{14} - 68 x^{13} - 84 x^{12} - 84 x^{11} - 80 x^{10} - 7 x^{9} + 112 x^{8} + 249 x^{7} + 356 x^{6} + 437 x^{5} + 468 x^{4} + 411 x^{3} + 264 x^{2} + 115 x + 25$ |
$20$ |
[4,8] |
$43^{2}\cdot 61^{6}\cdot 397^{4}$ |
$3$ |
$16.5464144195$ |
$1020.4562704986432$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$16404.7446381$ |
| 20.4.236...809.2 |
$x^{20} - 7 x^{19} + 23 x^{18} - 49 x^{17} + 89 x^{16} - 151 x^{15} + 197 x^{14} - 167 x^{13} + 151 x^{12} - 276 x^{11} + 324 x^{10} - 27 x^{9} - 268 x^{8} + 120 x^{7} + 171 x^{6} - 135 x^{5} - 68 x^{4} + 100 x^{3} - 25 x^{2} - 5 x + 1$ |
$20$ |
[4,8] |
$43^{2}\cdot 61^{6}\cdot 397^{4}$ |
$3$ |
$16.5464144195$ |
$2851.8511716535195$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$15124.1500293$ |
| 20.8.272...449.1 |
$x^{20} - 7 x^{18} + 15 x^{16} - 8 x^{14} - 47 x^{12} + 154 x^{10} - 239 x^{8} + 208 x^{6} - 77 x^{4} - 2 x^{2} + 1$ |
$20$ |
[8,6] |
$29^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4}$ |
$4$ |
$16.6625337302$ |
$8253.63077681574$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$32384.0191353$ |
| 20.8.102...704.1 |
$x^{20} - 2 x^{18} + 2 x^{16} - 7 x^{14} + 8 x^{12} - 3 x^{10} + 8 x^{8} - 7 x^{6} + 2 x^{4} - 2 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 7^{4}\cdot 43^{2}\cdot 1217^{4}$ |
$4$ |
$17.801416638$ |
|
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$64948.4279836$ |
| 20.8.121...024.1 |
$x^{20} - 9 x^{18} + 34 x^{16} - 88 x^{14} + 166 x^{12} - 234 x^{10} + 250 x^{8} - 179 x^{6} + 74 x^{4} - 15 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 13^{4}\cdot 167^{2}\cdot 347^{4}$ |
$4$ |
$17.9537927752$ |
$3324.606623095556$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$72749.2953869$ |
| 20.4.220...441.1 |
$x^{20} - 12 x^{18} + 70 x^{16} - 262 x^{14} + 535 x^{12} - 625 x^{10} + 619 x^{8} - 942 x^{6} + 619 x^{4} - 35 x^{2} + 1$ |
$20$ |
[4,8] |
$19^{4}\cdot 31^{2}\cdot 113^{2}\cdot 151^{4}\cdot 163^{2}$ |
$5$ |
$18.5015828077$ |
$40474.28122894834$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$45511.3860888$ |
| 20.12.356...449.1 |
$x^{20} - 13 x^{18} - 8 x^{17} + 28 x^{16} + 9 x^{15} - 18 x^{14} + 47 x^{13} + 73 x^{12} - 54 x^{11} - 155 x^{10} - 54 x^{9} + 73 x^{8} + 47 x^{7} - 18 x^{6} + 9 x^{5} + 28 x^{4} - 8 x^{3} - 13 x^{2} + 1$ |
$20$ |
[12,4] |
$61^{6}\cdot 167^{2}\cdot 397^{4}$ |
$3$ |
$18.9508502128$ |
$5620.1882832374085$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$261799.053214$ |
| 20.4.356...449.1 |
$x^{20} - 2 x^{19} - x^{18} - 6 x^{17} + 20 x^{16} + 3 x^{15} + 11 x^{14} - 75 x^{13} + 20 x^{11} + 110 x^{10} - 51 x^{9} - 61 x^{8} + 52 x^{7} + 29 x^{6} + 46 x^{5} - 86 x^{4} - 78 x^{3} + x^{2} + 7 x + 1$ |
$20$ |
[4,8] |
$61^{6}\cdot 167^{2}\cdot 397^{4}$ |
$3$ |
$18.9508502128$ |
$2011.0293384234851$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$53616.8909025$ |
| 20.8.741...129.1 |
$x^{20} - 6 x^{19} + 9 x^{18} + 15 x^{17} - 57 x^{16} + 21 x^{15} + 106 x^{14} - 77 x^{13} - 200 x^{12} + 267 x^{11} + 214 x^{10} - 712 x^{9} + 443 x^{8} + 431 x^{7} - 900 x^{6} + 454 x^{5} + 192 x^{4} - 289 x^{3} + 105 x^{2} - 17 x + 1$ |
$20$ |
[8,6] |
$11^{2}\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4}$ |
$4$ |
$19.6558307652$ |
$11042.097943778619$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$195926.743019$ |
| 20.4.829...304.1 |
$x^{20} - 9 x^{18} + 33 x^{16} - 64 x^{14} + 71 x^{12} - 48 x^{10} + 24 x^{8} - 10 x^{6} + x^{4} - x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 13^{4}\cdot 19^{2}\cdot 23^{2}\cdot 347^{4}$ |
$5$ |
$19.7666332653$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$77807.6858927$ |
| 20.8.902...521.1 |
$x^{20} - 5 x^{19} + 10 x^{18} - 20 x^{17} + 41 x^{16} - 62 x^{15} + 76 x^{14} - 16 x^{13} - 12 x^{12} - 99 x^{11} + 139 x^{10} - 332 x^{9} + 839 x^{8} - 1486 x^{7} + 1406 x^{6} - 329 x^{5} - 420 x^{4} + 254 x^{3} - x^{2} - 17 x + 1$ |
$20$ |
[8,6] |
$61^{4}\cdot 97^{2}\cdot 167^{2}\cdot 397^{4}$ |
$4$ |
$19.8505657515$ |
$19806.341989373$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$205939.69472$ |
| 20.0.100...761.1 |
$x^{20} - 5 x^{19} + 21 x^{18} - 56 x^{17} + 130 x^{16} - 242 x^{15} + 416 x^{14} - 626 x^{13} + 911 x^{12} - 1169 x^{11} + 1519 x^{10} - 1743 x^{9} + 2025 x^{8} - 2024 x^{7} + 1923 x^{6} - 1500 x^{5} + 1218 x^{4} - 513 x^{3} + 316 x^{2} + 20 x + 25$ |
$20$ |
[0,10] |
$43^{2}\cdot 61^{4}\cdot 397^{6}$ |
$3$ |
$19.9549187855$ |
$4555.038220048329$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$56513.3833641$ |
| 20.8.100...761.1 |
$x^{20} - 2 x^{19} - 5 x^{18} + 2 x^{17} + 25 x^{16} - 2 x^{15} - 55 x^{14} + 72 x^{13} - 35 x^{12} - 70 x^{11} + 139 x^{10} - 70 x^{9} - 35 x^{8} + 72 x^{7} - 55 x^{6} - 2 x^{5} + 25 x^{4} + 2 x^{3} - 5 x^{2} - 2 x + 1$ |
$20$ |
[8,6] |
$43^{2}\cdot 61^{4}\cdot 397^{6}$ |
$3$ |
$19.9549187855$ |
$1020.4562704986432$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$253607.024173$ |
| 20.0.104...344.4 |
$x^{20} + 2 x^{18} + x^{16} + x^{14} + 2 x^{12} + 3 x^{10} + 2 x^{8} + x^{6} + x^{4} + 2 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$19.993966318$ |
$2457.7078021372286$ |
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
$[2]$ |
$2$ |
$9$ |
$22283.8085415$ |
| 20.0.104...344.5 |
$x^{20} + 3 x^{18} + 16 x^{16} + 12 x^{14} + 36 x^{12} + 38 x^{10} + 29 x^{8} + 41 x^{6} - 12 x^{4} + 2 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$19.993966318$ |
$2457.7078021372286$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$91322.0548109$ |
| 20.0.104...344.6 |
$x^{20} + 2 x^{18} + 2 x^{16} + 2 x^{14} + x^{12} + x^{10} + x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$19.993966318$ |
$2457.7078021372286$ |
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
$[2]$ |
$2$ |
$9$ |
$17303.8990798$ |
| 20.0.246...561.1 |
$x^{20} - 2 x^{19} + 7 x^{18} - 12 x^{17} + 17 x^{16} - 44 x^{15} + 57 x^{14} - 117 x^{13} + 244 x^{12} - 349 x^{11} + 582 x^{10} - 641 x^{9} + 803 x^{8} - 667 x^{7} + 827 x^{6} - 417 x^{5} + 540 x^{4} - 51 x^{3} + 153 x^{2} + 35 x + 25$ |
$20$ |
[0,10] |
$61^{6}\cdot 397^{4}\cdot 439^{2}$ |
$3$ |
$20.8738954486$ |
$9112.234544842906$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$9$ |
$67282.0816894$ |
| 20.4.390...824.1 |
$x^{20} - 2 x^{18} + 3 x^{16} + 12 x^{14} - 4 x^{12} - 38 x^{10} + 12 x^{8} - 23 x^{6} - 16 x^{4} - 5 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 29^{2}\cdot 257^{2}\cdot 1609^{4}$ |
$4$ |
$21.358675451$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$262155.111905$ |
| 20.12.392...624.1 |
$x^{20} - 5 x^{18} + 8 x^{16} - 7 x^{14} + 10 x^{12} - 47 x^{10} + 175 x^{8} - 261 x^{6} + 165 x^{4} - 39 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 13^{2}\cdot 38569^{4}$ |
$3$ |
$21.3634804045$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$926733.479139$ |
| 20.8.666...104.1 |
$x^{20} - 3 x^{18} + 3 x^{16} - 5 x^{14} + 7 x^{12} - 5 x^{10} + 7 x^{8} - 5 x^{6} + 3 x^{4} - 3 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 43^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$21.9381958658$ |
|
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$13$ |
$705750.948126$ |
| 20.16.274...761.1 |
$x^{20} - 7 x^{19} + 4 x^{18} + 69 x^{17} - 125 x^{16} - 220 x^{15} + 658 x^{14} + 130 x^{13} - 1599 x^{12} + 745 x^{11} + 2341 x^{10} - 1813 x^{9} - 2567 x^{8} + 1464 x^{7} + 2013 x^{6} - 59 x^{5} - 561 x^{4} - 127 x^{3} + 29 x^{2} + 12 x + 1$ |
$20$ |
[16,2] |
$17^{4}\cdot 67^{2}\cdot 157^{2}\cdot 4153^{4}$ |
$4$ |
$23.5483030375$ |
$27251.640666205767$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$17$ |
$5485135.91499$ |
| 20.4.452...169.1 |
$x^{20} - 3 x^{19} + 3 x^{18} + 5 x^{17} - 19 x^{16} - 61 x^{15} + 153 x^{14} - 165 x^{13} - 211 x^{12} + 234 x^{11} + 219 x^{10} - 234 x^{9} - 211 x^{8} + 165 x^{7} + 153 x^{6} + 61 x^{5} - 19 x^{4} - 5 x^{3} + 3 x^{2} + 3 x + 1$ |
$20$ |
[4,8] |
$17^{4}\cdot 61^{4}\cdot 397^{6}$ |
$3$ |
$24.1430927779$ |
$2864.0609653269807$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$698047.941608$ |
| 20.4.452...169.2 |
$x^{20} - 9 x^{18} - 2 x^{17} + 32 x^{16} - 23 x^{15} - 22 x^{14} + 300 x^{13} - 147 x^{12} - 899 x^{11} + 551 x^{10} + 830 x^{9} - 2963 x^{8} + 2469 x^{7} + 4924 x^{6} - 5175 x^{5} + 163 x^{4} + 2829 x^{3} - 5510 x^{2} - 987 x + 2209$ |
$20$ |
[4,8] |
$17^{4}\cdot 61^{4}\cdot 397^{6}$ |
$3$ |
$24.1430927779$ |
$641.6299556598024$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$589787.100633$ |
| 20.4.917...161.1 |
$x^{20} - 6 x^{19} + 7 x^{18} + 3 x^{17} + 47 x^{16} - 124 x^{15} - 152 x^{14} + 297 x^{13} + 41 x^{12} + 242 x^{11} - 1501 x^{10} + 2218 x^{9} - 2653 x^{8} + 3355 x^{7} - 2958 x^{6} + 3458 x^{5} - 5799 x^{4} + 7115 x^{3} - 4093 x^{2} + 980 x - 89$ |
$20$ |
[4,8] |
$673^{2}\cdot 4673^{2}\cdot 5519^{4}$ |
$3$ |
$25.0111213493$ |
$131745.44831226618$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$11$ |
$973460.436651$ |
| 20.16.106...256.1 |
$x^{20} - 20 x^{18} - 10 x^{17} + 112 x^{16} + 180 x^{15} - 422 x^{14} - 838 x^{13} + 1344 x^{12} + 1554 x^{11} - 2714 x^{10} - 1228 x^{9} + 2945 x^{8} + 252 x^{7} - 1610 x^{6} + 156 x^{5} + 396 x^{4} - 70 x^{3} - 32 x^{2} + 4 x + 1$ |
$20$ |
[16,2] |
$2^{30}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ |
$4$ |
$28.2757383325$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$17$ |
$40870210.734$ |
| 20.12.428...441.1 |
$x^{20} - 5 x^{19} - 20 x^{18} + 160 x^{17} - 65 x^{16} - 1289 x^{15} + 1513 x^{14} + 5330 x^{13} - 7066 x^{12} - 14005 x^{11} + 15040 x^{10} + 23758 x^{9} - 15281 x^{8} - 22891 x^{7} + 7548 x^{6} + 11742 x^{5} - 1306 x^{4} - 2588 x^{3} - 23 x^{2} + 155 x + 25$ |
$20$ |
[12,4] |
$29^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{6}$ |
$4$ |
$30.3123838789$ |
$36841.95465249274$ |
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$36577454.1458$ |
| 20.0.147...736.1 |
$x^{20} + 19 x^{18} + 147 x^{16} + 608 x^{14} + 1472 x^{12} + 2137 x^{10} + 1828 x^{8} + 872 x^{6} + 212 x^{4} + 24 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 43^{2}\cdot 47^{2}\cdot 61^{4}\cdot 397^{4}$ |
$5$ |
$32.2411627125$ |
|
✓ |
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
$[48]$ |
$2$ |
$9$ |
$93893.3422764$ |
| 20.20.147...736.1 |
$x^{20} - 19 x^{18} + 147 x^{16} - 608 x^{14} + 1472 x^{12} - 2137 x^{10} + 1828 x^{8} - 872 x^{6} + 212 x^{4} - 24 x^{2} + 1$ |
$20$ |
[20,0] |
$2^{20}\cdot 43^{2}\cdot 47^{2}\cdot 61^{4}\cdot 397^{4}$ |
$5$ |
$32.2411627125$ |
|
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$19$ |
$339824602.805$ |
| 20.12.225...856.1 |
$x^{20} + 7 x^{18} - 23 x^{16} - 86 x^{14} + 222 x^{12} + 94 x^{10} - 321 x^{8} - 17 x^{6} + 89 x^{4} - 20 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 3^{2}\cdot 367^{2}\cdot 36497^{4}$ |
$4$ |
$32.9351890811$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$72211042.621$ |
| 20.12.410...024.1 |
$x^{20} - 19 x^{18} + 148 x^{16} - 610 x^{14} + 1430 x^{12} - 1913 x^{10} + 1430 x^{8} - 610 x^{6} + 148 x^{4} - 19 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 13^{2}\cdot 4903^{4}\cdot 6329^{2}$ |
$4$ |
$33.935184843$ |
|
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$152319947.412$ |
| 20.12.703...304.1 |
$x^{20} - 20 x^{18} + 164 x^{16} - 706 x^{14} + 1703 x^{12} - 2301 x^{10} + 1703 x^{8} - 706 x^{6} + 164 x^{4} - 20 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 13^{4}\cdot 17^{2}\cdot 347^{4}\cdot 7489^{2}$ |
$5$ |
$34.8635683818$ |
$87903.06765221336$ |
|
|
✓ |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$15$ |
$234618089.352$ |
| 20.0.199...376.1 |
$x^{20} + 13 x^{18} + 65 x^{16} + 597 x^{14} + 5977 x^{12} + 20078 x^{10} + 51698 x^{8} + 647196 x^{6} + 1152205 x^{4} + 24039409$ |
$20$ |
[0,10] |
$2^{20}\cdot 37^{2}\cdot 4903^{6}$ |
$3$ |
$36.7272774709$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
$[2]$ |
$2$ |
$9$ |
$8010090.27435$ |
| 20.0.199...376.2 |
$x^{20} - x^{18} - 64 x^{16} + 695 x^{14} - 2902 x^{12} - 42191 x^{10} + 149242 x^{8} + 808995 x^{6} + 1671923 x^{4} + 24039409$ |
$20$ |
[0,10] |
$2^{20}\cdot 37^{2}\cdot 4903^{6}$ |
$3$ |
$36.7272774709$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
$[2]$ |
$2$ |
$9$ |
$10584851.7162$ |
| 20.20.777...304.1 |
$x^{20} - 29 x^{18} + 322 x^{16} - 1876 x^{14} + 6454 x^{12} - 13747 x^{10} + 18258 x^{8} - 14724 x^{6} + 6737 x^{4} - 1518 x^{2} + 121$ |
$20$ |
[20,0] |
$2^{20}\cdot 11^{2}\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4}$ |
$5$ |
$39.3116615304$ |
|
|
|
? |
$C_2^{10}.S_5$ (as 20T799) |
trivial |
$2$ |
$19$ |
$2815437983.21$ |
| 20.0.982...321.1 |
$x^{20} - 15 x^{18} + 49 x^{16} + 245 x^{14} - 257 x^{12} - 16447 x^{10} + 97521 x^{8} - 333151 x^{6} + 982562 x^{4} - 1113772 x^{2} + 3948169$ |
$20$ |
[0,10] |
$61^{4}\cdot 97^{2}\cdot 397^{6}\cdot 439^{2}$ |
$4$ |
$39.7765163305$ |
$143342.81362602918$ |
✓ |
|
? |
$C_2^{10}.S_5$ (as 20T799) |
$[2, 32]$ |
$2$ |
$9$ |
$1233541.62886$ |
