| 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 |
| 20.0.141...912.1 |
$x^{20} + x^{18} + 5 x^{16} + 2 x^{14} + x^{12} - 7 x^{10} - 14 x^{8} - 3 x^{6} + x^{4} + 7 x^{2} + 7$ |
$20$ |
[0,10] |
$2^{10}\cdot 7^{11}\cdot 17^{8}$ |
$3$ |
$12.8085063639$ |
$67.96629674156736$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$9$ |
$500.112499116$ |
| 20.0.464...568.1 |
$x^{20} - 5 x^{19} + 15 x^{18} - 31 x^{17} + 51 x^{16} - 69 x^{15} + 80 x^{14} - 95 x^{13} + 117 x^{12} - 113 x^{11} + 90 x^{10} - 55 x^{9} + 13 x^{8} + 13 x^{7} - 11 x^{6} + 15 x^{5} - 12 x^{4} - 2 x^{3} + 9 x^{2} - 5 x + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 7^{10}\cdot 17^{8}\cdot 23$ |
$4$ |
$13.5934588921$ |
$200.39321610278867$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$9$ |
$1040.52042954$ |
| 20.2.202...792.1 |
$x^{20} + 3 x^{18} + 6 x^{16} + x^{14} - 13 x^{12} - 33 x^{10} - 41 x^{8} - 29 x^{6} - 30 x^{4} - 17 x^{2} - 17$ |
$20$ |
[2,9] |
$-\,2^{10}\cdot 7^{8}\cdot 17^{11}$ |
$3$ |
$14.6319133502$ |
$84.84599120579895$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$10$ |
$2918.75004374$ |
| 20.2.583...224.2 |
$x^{20} - 7 x^{19} + 25 x^{18} - 61 x^{17} + 112 x^{16} - 168 x^{15} + 217 x^{14} - 255 x^{13} + 268 x^{12} - 190 x^{11} + 5 x^{10} + 294 x^{9} - 606 x^{8} + 808 x^{7} - 822 x^{6} + 669 x^{5} - 431 x^{4} + 212 x^{3} - 70 x^{2} + 13 x - 1$ |
$20$ |
[2,9] |
$-\,2^{10}\cdot 7^{10}\cdot 17^{10}$ |
$3$ |
$15.4272486205$ |
$67.96629674156736$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$10$ |
$5288.64508061$ |
| 20.0.647...344.1 |
$x^{20} - 7 x^{19} + 22 x^{18} - 41 x^{17} + 46 x^{16} - 13 x^{15} - 38 x^{14} + 45 x^{13} + x^{12} - 75 x^{11} + 118 x^{10} - 132 x^{9} + 133 x^{8} - 181 x^{7} + 243 x^{6} - 119 x^{5} + 114 x^{4} - 58 x^{3} + 89 x^{2} + 2 x + 19$ |
$20$ |
[0,10] |
$2^{15}\cdot 7^{8}\cdot 17^{11}$ |
$3$ |
$17.4003754622$ |
$119.99035147622924$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$9$ |
$13469.2003837$ |
| 20.0.674...497.1 |
$x^{20} - 3 x^{19} + 9 x^{18} - 4 x^{17} - 2 x^{16} + 35 x^{15} - 13 x^{14} + 7 x^{13} + 102 x^{12} - 88 x^{11} + 154 x^{10} - 25 x^{9} + 54 x^{8} + 51 x^{7} + 24 x^{6} + 20 x^{5} + 25 x^{4} + 5 x^{3} + 6 x^{2} + 2 x + 1$ |
$20$ |
[0,10] |
$7^{8}\cdot 11^{2}\cdot 17^{10}\cdot 4793$ |
$4$ |
$17.4354562583$ |
$2504.8027866480825$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$9$ |
$13469.9586903$ |
| 20.4.106...368.1 |
$x^{20} - 7 x^{19} + 18 x^{18} - 10 x^{17} - 65 x^{16} + 214 x^{15} - 307 x^{14} + 122 x^{13} + 409 x^{12} - 997 x^{11} + 1171 x^{10} - 725 x^{9} - 146 x^{8} + 1095 x^{7} - 1776 x^{6} + 1845 x^{5} - 1253 x^{4} + 467 x^{3} - 15 x^{2} - 53 x + 13$ |
$20$ |
[4,8] |
$2^{10}\cdot 7^{8}\cdot 17^{10}\cdot 19\cdot 47$ |
$5$ |
$17.8369768012$ |
$1195.7226391418135$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$11$ |
$34901.5422914$ |
| 20.4.186...168.2 |
$x^{20} - 2 x^{19} - 5 x^{18} + 21 x^{17} - 13 x^{16} - 33 x^{15} + 63 x^{14} - 34 x^{13} - 13 x^{12} + 15 x^{11} - 86 x^{10} + 81 x^{9} - 132 x^{8} - 163 x^{7} - 159 x^{6} - 181 x^{5} - 56 x^{4} - 29 x^{3} - 7 x^{2} - 1$ |
$20$ |
[4,8] |
$2^{15}\cdot 7^{10}\cdot 17^{10}$ |
$3$ |
$18.3461938245$ |
$96.11885863619887$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$11$ |
$41687.7704224$ |
| 20.0.104...568.1 |
$x^{20} - 4 x^{18} - 6 x^{16} + 4 x^{14} + 265 x^{12} + 72 x^{10} + 1092 x^{8} - 64 x^{6} + 14528 x^{4} + 16896 x^{2} + 51200$ |
$20$ |
[0,10] |
$2^{27}\cdot 727^{8}$ |
$2$ |
$35.5634805742$ |
$197.80098181992128$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
$[11]$ |
$[11]$ |
$4$ |
$9$ |
$67262537.361$ |
| 20.14.163...375.1 |
$x^{20} - 4 x^{19} - 22 x^{18} + 90 x^{17} + 200 x^{16} - 806 x^{15} - 1092 x^{14} + 3858 x^{13} + 4384 x^{12} - 11359 x^{11} - 13643 x^{10} + 24276 x^{9} + 27710 x^{8} - 41649 x^{7} - 25253 x^{6} + 42381 x^{5} + 6277 x^{4} - 20061 x^{3} + 2245 x^{2} + 3297 x - 829$ |
$20$ |
[14,3] |
$-\,3^{8}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$40.7955281017$ |
$235.42037938326197$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$16$ |
$2645909749.65$ |
| 20.18.163...375.1 |
$x^{20} - 8 x^{19} + 3 x^{18} + 121 x^{17} - 246 x^{16} - 638 x^{15} + 2315 x^{14} + 1292 x^{13} - 10548 x^{12} - 804 x^{11} + 27547 x^{10} + 2633 x^{9} - 40347 x^{8} - 11191 x^{7} + 28572 x^{6} + 12631 x^{5} - 7548 x^{4} - 4002 x^{3} + 635 x^{2} + 320 x - 29$ |
$20$ |
[18,1] |
$-\,3^{8}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$40.7955281017$ |
$235.42037938326197$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$18$ |
$3731575983.23$ |
| 20.0.670...352.1 |
$x^{20} - 12 x^{18} + 63 x^{16} - 112 x^{14} - 421 x^{12} + 2540 x^{10} - 2335 x^{8} - 8880 x^{6} + 20004 x^{4} - 10912 x^{2} + 3200$ |
$20$ |
[0,10] |
$2^{33}\cdot 727^{8}$ |
$2$ |
$43.783780428$ |
$197.80098181992128$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
$[11]$ |
$[11]$ |
$4$ |
$9$ |
$2087758442.52$ |
| 20.14.815...875.1 |
$x^{20} - 7 x^{19} + 83 x^{17} - 166 x^{16} - 187 x^{15} + 1345 x^{14} - 298 x^{13} - 2757 x^{12} + 4195 x^{11} + 5736 x^{10} - 5813 x^{9} - 8745 x^{8} - 47 x^{7} + 6396 x^{6} + 3547 x^{5} - 1956 x^{4} - 1500 x^{3} + 187 x^{2} + 66 x - 1$ |
$20$ |
[14,3] |
$-\,3^{8}\cdot 5^{11}\cdot 239^{9}$ |
$3$ |
$44.2141275426$ |
$352.03557738539814$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
$[2]$ |
$[2]$ |
$2$ |
$16$ |
$2453065917.48$ |
| 20.10.815...875.2 |
$x^{20} - 6 x^{19} + 3 x^{18} + 45 x^{17} - 93 x^{16} + 148 x^{15} - 539 x^{14} - 489 x^{13} + 3422 x^{12} - 894 x^{11} + 2973 x^{10} - 11008 x^{9} + 12614 x^{8} - 54399 x^{7} + 47350 x^{6} + 33765 x^{5} - 16959 x^{4} - 2255 x^{3} - 5890 x^{2} + 1605 x + 605$ |
$20$ |
[10,5] |
$-\,3^{8}\cdot 5^{11}\cdot 239^{9}$ |
$3$ |
$44.2141275426$ |
$352.03557738539814$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
$[2]$ |
$[4]$ |
$2$ |
$14$ |
$1310163116.31$ |
| 20.2.146...375.1 |
$x^{20} - 4 x^{19} + 12 x^{18} - 10 x^{17} + 61 x^{16} - 9 x^{15} + 719 x^{14} - 285 x^{13} - 240 x^{12} - 4485 x^{11} + 1240 x^{10} + 9340 x^{9} - 1878 x^{8} - 10865 x^{7} - 68633 x^{6} - 80518 x^{5} - 84687 x^{4} - 48647 x^{3} - 18875 x^{2} - 187 x - 3449$ |
$20$ |
[2,9] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$235.42037938326197$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$10$ |
$404035970.257$ |
| 20.14.146...375.1 |
$x^{20} - 4 x^{19} - 28 x^{18} + 139 x^{17} + 189 x^{16} - 1695 x^{15} + 885 x^{14} + 8148 x^{13} - 12751 x^{12} - 11190 x^{11} + 34205 x^{10} + 1662 x^{9} - 45780 x^{8} + 8426 x^{7} + 42749 x^{6} - 19900 x^{5} - 12502 x^{4} + 7338 x^{3} + 124 x^{2} - 44 x - 1$ |
$20$ |
[14,3] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$309.8306434257278$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$16$ |
$4882434911.31$ |
| 20.6.146...375.1 |
$x^{20} - 4 x^{19} - 22 x^{18} + 81 x^{17} + 169 x^{16} - 626 x^{15} - 341 x^{14} + 2196 x^{13} - 1972 x^{12} - 2961 x^{11} + 7741 x^{10} - 7092 x^{9} - 196 x^{8} + 20087 x^{7} - 35775 x^{6} + 17141 x^{5} + 32384 x^{4} - 60453 x^{3} + 34750 x^{2} - 1938 x - 3249$ |
$20$ |
[6,7] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$309.8306434257278$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$12$ |
$626711065.375$ |
| 20.6.146...375.2 |
$x^{20} - 10 x^{19} + 69 x^{18} - 336 x^{17} + 1174 x^{16} - 3068 x^{15} + 5396 x^{14} - 4278 x^{13} - 8489 x^{12} + 40768 x^{11} - 80876 x^{10} + 92029 x^{9} - 24941 x^{8} - 119760 x^{7} + 258225 x^{6} - 293603 x^{5} + 218300 x^{4} - 109620 x^{3} + 35827 x^{2} - 6808 x + 529$ |
$20$ |
[6,7] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$235.42037938326197$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$12$ |
$1148899592.28$ |
| 20.10.146...375.3 |
$x^{20} - 5 x^{19} - 14 x^{18} + 73 x^{17} - 15 x^{16} - 253 x^{15} + 246 x^{14} - 596 x^{13} + 1397 x^{12} + 579 x^{11} - 2239 x^{10} + 3043 x^{9} - 4889 x^{8} + 3648 x^{7} + 165 x^{6} - 5816 x^{5} + 6387 x^{4} - 2450 x^{3} + 279 x^{2} + 285 x - 55$ |
$20$ |
[10,5] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$309.8306434257278$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$14$ |
$3803777303.35$ |
| 20.10.146...375.4 |
$x^{20} - 6 x^{19} + 12 x^{18} - 6 x^{17} - 29 x^{16} + 148 x^{15} - 356 x^{14} + 263 x^{13} + 592 x^{12} - 2150 x^{11} + 2486 x^{10} + 3283 x^{9} - 10683 x^{8} + 375 x^{7} + 16903 x^{6} - 7773 x^{5} - 9342 x^{4} + 7323 x^{3} - 801 x^{2} - 320 x + 55$ |
$20$ |
[10,5] |
$-\,3^{10}\cdot 5^{10}\cdot 239^{9}$ |
$3$ |
$45.5328343113$ |
$309.8306434257278$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$14$ |
$3791542474.65$ |
| 20.14.407...375.1 |
$x^{20} - 15 x^{18} - 19 x^{17} + 58 x^{16} + 109 x^{15} - 344 x^{14} + 1548 x^{13} + 5860 x^{12} - 13918 x^{11} - 33252 x^{10} + 34151 x^{9} + 66757 x^{8} - 23680 x^{7} - 32803 x^{6} - 9863 x^{5} - 30395 x^{4} + 13443 x^{3} + 26654 x^{2} - 3750 x - 4491$ |
$20$ |
[14,3] |
$-\,3^{8}\cdot 5^{12}\cdot 239^{9}$ |
$3$ |
$47.9192001016$ |
$352.03557738539814$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$16$ |
$13228720565.3$ |
| 20.10.407...375.1 |
$x^{20} - 5 x^{19} - 9 x^{18} + 127 x^{17} - 397 x^{16} + 330 x^{15} + 1670 x^{14} - 6707 x^{13} + 9906 x^{12} + 2065 x^{11} - 36253 x^{10} + 66812 x^{9} - 41659 x^{8} - 52485 x^{7} + 139583 x^{6} - 123767 x^{5} + 10046 x^{4} + 101145 x^{3} - 118335 x^{2} + 57792 x - 9871$ |
$20$ |
[10,5] |
$-\,3^{8}\cdot 5^{12}\cdot 239^{9}$ |
$3$ |
$47.9192001016$ |
$352.03557738539814$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
$[2]$ |
$[2]$ |
$2$ |
$14$ |
$3020014559.57$ |
| 20.10.407...375.2 |
$x^{20} - 9 x^{19} + 25 x^{18} - 9 x^{17} - 97 x^{16} + 221 x^{15} + 302 x^{14} - 1754 x^{13} + 1216 x^{12} + 3185 x^{11} - 7955 x^{10} - 114 x^{9} + 18905 x^{8} + 216 x^{7} - 18394 x^{6} - 5613 x^{5} + 2181 x^{4} - 891 x^{3} - 738 x^{2} + 216 x + 81$ |
$20$ |
[10,5] |
$-\,3^{8}\cdot 5^{12}\cdot 239^{9}$ |
$3$ |
$47.9192001016$ |
$352.03557738539814$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$14$ |
$3190693194.86$ |
| 20.14.407...375.2 |
$x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 287 x^{16} + 1276 x^{15} - 2187 x^{14} - 1513 x^{13} + 14905 x^{12} - 33361 x^{11} + 24582 x^{10} + 55042 x^{9} - 148264 x^{8} + 121493 x^{7} + 82548 x^{6} - 313055 x^{5} + 101822 x^{4} + 286818 x^{3} - 64330 x^{2} - 125501 x - 25541$ |
$20$ |
[14,3] |
$-\,3^{8}\cdot 5^{12}\cdot 239^{9}$ |
$3$ |
$47.9192001016$ |
$352.03557738539814$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$16$ |
$11158823549.6$ |
| 20.6.509...000.1 |
$x^{20} + 10 x^{18} + 21 x^{16} - 60 x^{14} - 244 x^{12} - 104 x^{10} + 371 x^{8} + 298 x^{6} - 109 x^{4} - 104 x^{2} - 16$ |
$20$ |
[6,7] |
$-\,2^{8}\cdot 5^{10}\cdot 1093^{8}$ |
$3$ |
$48.4557215742$ |
$209.093280618962$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
$[4]$ |
$[2, 2, 4]$ |
$2$ |
$12$ |
$1000532686.41$ |
| 20.10.509...000.1 |
$x^{20} - 4 x^{19} - 28 x^{18} + 107 x^{17} + 275 x^{16} - 887 x^{15} - 1757 x^{14} + 2953 x^{13} + 10339 x^{12} - 9144 x^{11} - 22883 x^{10} - 14527 x^{9} + 96743 x^{8} - 14161 x^{7} - 136209 x^{6} + 79301 x^{5} + 54262 x^{4} - 41964 x^{3} - 12243 x^{2} + 8566 x + 2284$ |
$20$ |
[10,5] |
$-\,2^{8}\cdot 5^{10}\cdot 1093^{8}$ |
$3$ |
$48.4557215742$ |
$209.093280618962$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2, 2]$ |
$2$ |
$14$ |
$13569875145.4$ |
| 20.10.548...024.1 |
$x^{20} + 2 x^{18} - 79 x^{16} - 16 x^{14} + 1225 x^{12} + 506 x^{10} - 5465 x^{8} - 2080 x^{6} + 6447 x^{4} + 18 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{38}\cdot 613^{8}$ |
$2$ |
$48.6341333863$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$14$ |
$15206574539.6$ |
| 20.18.684...000.1 |
$x^{20} - 17 x^{18} + 75 x^{16} + 149 x^{14} - 2101 x^{12} + 6967 x^{10} - 11647 x^{8} + 10815 x^{6} - 5413 x^{4} + 1251 x^{2} - 81$ |
$20$ |
[18,1] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$18$ |
$35424546669.6$ |
| 20.6.684...000.1 |
$x^{20} + 13 x^{18} + 40 x^{16} - 103 x^{14} - 630 x^{12} - 199 x^{10} + 2277 x^{8} + 2243 x^{6} - 961 x^{4} - 1229 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$12$ |
$1566882554.27$ |
| 20.2.684...000.1 |
$x^{20} + 25 x^{18} + 229 x^{16} + 983 x^{14} + 2031 x^{12} + 1712 x^{10} + 45 x^{8} - 535 x^{6} - 220 x^{4} - 29 x^{2} - 1$ |
$20$ |
[2,9] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$10$ |
$649714031.137$ |
| 20.14.684...000.1 |
$x^{20} - 11 x^{18} + 2 x^{16} + 339 x^{14} - 1319 x^{12} + 1396 x^{10} + 1124 x^{8} - 3165 x^{6} + 1993 x^{4} - 368 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$16$ |
$15641804958.4$ |
| 20.14.684...000.2 |
$x^{20} - 9 x^{18} - 53 x^{16} + 644 x^{14} - 1580 x^{12} + 503 x^{10} + 1514 x^{8} - 1036 x^{6} - 16 x^{4} + 42 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$16$ |
$10505841139.5$ |
| 20.10.684...000.2 |
$x^{20} - 9 x^{18} - 23 x^{16} + 351 x^{14} - 407 x^{12} - 1255 x^{10} - 528 x^{8} + 177 x^{6} + 138 x^{4} + 17 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$14$ |
$4196047522.76$ |
| 20.6.684...000.2 |
$x^{20} + 5 x^{18} - 64 x^{16} - 485 x^{14} - 987 x^{12} + 239 x^{10} + 3387 x^{8} + 4422 x^{6} + 2059 x^{4} + 153 x^{2} - 81$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$12$ |
$1602631591.59$ |
| 20.6.684...000.3 |
$x^{20} + 11 x^{18} + 33 x^{16} - 16 x^{14} - 206 x^{12} - 200 x^{10} + 176 x^{8} + 257 x^{6} + 33 x^{4} - 7 x^{2} - 1$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$12$ |
$1746733007.24$ |
| 20.10.684...000.3 |
$x^{20} - x^{18} - 70 x^{16} - 6 x^{14} + 979 x^{12} + 629 x^{10} - 1729 x^{8} - 21 x^{6} + 685 x^{4} - 187 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$14$ |
$6589033758.97$ |
| 20.14.684...000.3 |
$x^{20} - 15 x^{18} + 10 x^{16} + 477 x^{14} - 712 x^{12} - 3009 x^{10} + 5686 x^{8} - 1107 x^{6} - 2213 x^{4} + 1044 x^{2} - 81$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$16$ |
$9985363857.5$ |
| 20.6.684...000.4 |
$x^{20} + 16 x^{18} + 31 x^{16} - 237 x^{14} - 702 x^{12} + 181 x^{10} + 1525 x^{8} + 567 x^{6} - 760 x^{4} - 522 x^{2} - 81$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$12$ |
$2092883089.65$ |
| 20.10.684...000.4 |
$x^{20} - x^{18} - 27 x^{16} - 10 x^{14} + 187 x^{12} + 193 x^{10} - 274 x^{8} - 364 x^{6} - 30 x^{4} + 47 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$14$ |
$4636351073.86$ |
| 20.6.684...000.5 |
$x^{20} + 21 x^{18} + 130 x^{16} + 128 x^{14} - 1130 x^{12} - 3098 x^{10} - 525 x^{8} + 5552 x^{6} + 5504 x^{4} + 1377 x^{2} - 81$ |
$20$ |
[6,7] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$12$ |
$2405803642.28$ |
| 20.10.684...000.5 |
$x^{20} - 9 x^{18} - 24 x^{16} + 329 x^{14} - 70 x^{12} - 2983 x^{10} + 3293 x^{8} - 106 x^{6} - 329 x^{4} - 40 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$14$ |
$4516406176.17$ |
| 20.10.684...000.6 |
$x^{20} - 3 x^{18} - 43 x^{16} + 118 x^{14} + 344 x^{12} - 1272 x^{10} + 739 x^{8} + 690 x^{6} - 460 x^{4} - 104 x^{2} - 1$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$ |
$3$ |
$49.1782133679$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$14$ |
$7009662742.16$ |
| 20.8.142...941.1 |
$x^{20} - 10 x^{19} + 58 x^{18} - 237 x^{17} + 732 x^{16} - 1776 x^{15} + 3414 x^{14} - 5160 x^{13} + 5909 x^{12} - 4540 x^{11} + 1069 x^{10} + 2866 x^{9} - 5050 x^{8} + 4576 x^{7} - 2545 x^{6} + 727 x^{5} + 74 x^{4} - 162 x^{3} + 67 x^{2} - 13 x + 1$ |
$20$ |
[8,6] |
$7^{2}\cdot 13^{10}\cdot 61\cdot 277^{8}$ |
$4$ |
$51.0199324805$ |
$1240.0108870489807$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$13$ |
$4292506348.85$ |
| 20.16.143...125.1 |
$x^{20} - 10 x^{19} + 34 x^{18} - 21 x^{17} - 148 x^{16} + 368 x^{15} - 129 x^{14} - 743 x^{13} + 1251 x^{12} - 109 x^{11} - 1842 x^{10} + 1614 x^{9} + 872 x^{8} - 1677 x^{7} + 112 x^{6} + 685 x^{5} - 200 x^{4} - 109 x^{3} + 45 x^{2} + 6 x - 1$ |
$20$ |
[16,2] |
$3^{2}\cdot 5^{10}\cdot 401^{8}\cdot 244901$ |
$4$ |
$51.039264176$ |
$38380.71801048021$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$17$ |
$21738854252.5$ |
| 20.8.235...125.1 |
$x^{20} - 10 x^{19} + 50 x^{18} - 165 x^{17} + 384 x^{16} - 624 x^{15} + 615 x^{14} - 15 x^{13} - 1174 x^{12} + 2273 x^{11} - 2252 x^{10} + 705 x^{9} + 1389 x^{8} - 2457 x^{7} + 1816 x^{6} - 348 x^{5} - 584 x^{4} + 611 x^{3} - 227 x^{2} + 12 x + 19$ |
$20$ |
[8,6] |
$3^{8}\cdot 5^{10}\cdot 239^{8}\cdot 34501$ |
$4$ |
$52.3099432165$ |
$11121.424593998738$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
trivial |
$2$ |
$13$ |
$13962473062.3$ |
| 20.4.303...032.1 |
$x^{20} + 11 x^{18} + 31 x^{16} - 60 x^{14} - 459 x^{12} - 773 x^{10} - 278 x^{8} + 405 x^{6} + 378 x^{4} + 96 x^{2} + 7$ |
$20$ |
[4,8] |
$2^{10}\cdot 3^{10}\cdot 7\cdot 19^{10}\cdot 43^{8}$ |
$5$ |
$52.9778964223$ |
$501.7256360882915$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$11$ |
$2382968390.18$ |
| 20.8.597...456.1 |
$x^{20} - 10 x^{19} + 53 x^{18} - 192 x^{17} + 506 x^{16} - 988 x^{15} + 1372 x^{14} - 1086 x^{13} - 350 x^{12} + 2646 x^{11} - 4428 x^{10} + 4138 x^{9} - 1636 x^{8} - 1392 x^{7} + 2813 x^{6} - 2176 x^{5} + 744 x^{4} + 134 x^{3} - 227 x^{2} + 78 x - 9$ |
$20$ |
[8,6] |
$2^{30}\cdot 3^{2}\cdot 401^{8}\cdot 9241$ |
$4$ |
$54.8025562533$ |
$9430.555869088525$ |
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$13$ |
$11456030358.1$ |
| 20.4.148...568.1 |
$x^{20} + 29 x^{18} + 233 x^{16} - 329 x^{14} - 11818 x^{12} - 41203 x^{10} + 19869 x^{8} + 236114 x^{6} + 132013 x^{4} + 15827 x^{2} + 343$ |
$20$ |
[4,8] |
$2^{10}\cdot 3^{10}\cdot 7^{3}\cdot 19^{10}\cdot 43^{8}$ |
$5$ |
$64.3582925975$ |
$501.7256360882915$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2, 2]$ |
$2$ |
$11$ |
$21073818520.3$ |
| 20.8.148...568.1 |
$x^{20} - 29 x^{18} + 154 x^{16} + 628 x^{14} - 2456 x^{12} - 8032 x^{10} - 219 x^{8} + 14425 x^{6} + 13230 x^{4} + 4018 x^{2} + 343$ |
$20$ |
[8,6] |
$2^{10}\cdot 3^{10}\cdot 7^{3}\cdot 19^{10}\cdot 43^{8}$ |
$5$ |
$64.3582925975$ |
$501.7256360882915$ |
|
|
? |
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2, 2]$ |
$2$ |
$13$ |
$37224430579.4$ |
| 20.10.274...000.1 |
$x^{20} + 7 x^{18} - 155 x^{16} - 244 x^{14} + 7328 x^{12} - 20068 x^{10} - 6319 x^{8} + 56864 x^{6} - 12743 x^{4} - 7619 x^{2} - 401$ |
$20$ |
[10,5] |
$-\,2^{20}\cdot 5^{10}\cdot 401^{9}$ |
$3$ |
$66.3636043578$ |
|
|
|
|
$C_2^{10}.D_{10}$ (as 20T525) |
trivial |
$[2]$ |
$2$ |
$14$ |
$97570314868.2$ |
