| 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 |
| 13.1.48551226272641.1 |
$x^{13} - 2 x^{12} + 4 x^{10} - 5 x^{9} + x^{8} + 5 x^{7} - 11 x^{6} + 19 x^{5} - 22 x^{4} + 16 x^{3} - 10 x^{2} + 6 x - 1$ |
$13$ |
[1,6] |
$191^{6}$ |
$1$ |
$11.2923578172$ |
$13.820274961085254$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$26.2176148631$ |
| 13.1.330928743953809.1 |
$x^{13} - 6 x^{12} + 15 x^{11} - 21 x^{10} + 19 x^{9} - 13 x^{8} + 12 x^{7} - 22 x^{6} + 36 x^{5} - 38 x^{4} + 27 x^{3} - 16 x^{2} + 8 x - 1$ |
$13$ |
[1,6] |
$263^{6}$ |
$1$ |
$13.0888850353$ |
$16.217274740226856$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$88.0923358606$ |
| 13.1.27983987175790801.1 |
$x^{13} - 4 x^{12} + 5 x^{11} - 2 x^{10} - 3 x^{9} - 3 x^{8} + 21 x^{7} + 3 x^{6} - 15 x^{5} - 15 x^{4} + 7 x^{3} + 25 x^{2} + 8 x + 1$ |
$13$ |
[1,6] |
$19^{6}\cdot 29^{6}$ |
$2$ |
$18.4139471259$ |
$23.473389188611005$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$884.684846926$ |
| 13.1.50018670786022849.1 |
$x^{13} - 2 x^{12} + 3 x^{11} - x^{10} - 7 x^{9} - 9 x^{8} + 21 x^{7} + 21 x^{6} - 3 x^{5} - 34 x^{4} - 16 x^{3} + 15 x^{2} + 17 x - 1$ |
$13$ |
[1,6] |
$607^{6}$ |
$1$ |
$19.25522628$ |
$24.63736998950984$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2504.31381612$ |
| 13.1.63121332085847281.1 |
$x^{13} - 4 x^{12} + 12 x^{11} - 21 x^{10} + 37 x^{9} - 46 x^{8} + 54 x^{7} - 72 x^{6} + 71 x^{5} - 77 x^{4} + 69 x^{3} - 33 x^{2} + 17 x + 1$ |
$13$ |
[1,6] |
$631^{6}$ |
$1$ |
$19.6029414482$ |
$25.11971337416094$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2638.85437193$ |
| 13.1.147640825624179889.1 |
$x^{13} - 4 x^{12} + 8 x^{11} - 5 x^{10} + 6 x^{9} + 4 x^{7} + 8 x^{6} + 30 x^{5} - 15 x^{4} + 41 x^{3} - 23 x^{2} + 25 x - 1$ |
$13$ |
[1,6] |
$727^{6}$ |
$1$ |
$20.9270585616$ |
$26.962937525425527$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$4645.54180152$ |
| 13.1.739746811004793201.1 |
$x^{13} - 5 x^{12} + 10 x^{11} - 14 x^{10} + 13 x^{9} - 5 x^{8} - 22 x^{7} + 68 x^{6} - 118 x^{5} + 86 x^{4} + 32 x^{3} - 175 x^{2} + 165 x - 117$ |
$13$ |
[1,6] |
$3^{6}\cdot 317^{6}$ |
$2$ |
$23.6888977829$ |
$30.83828789021855$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$41428.0768772$ |
| 13.1.111...881.1 |
$x^{13} - 4 x^{12} + 17 x^{11} - 26 x^{10} + 51 x^{9} - 26 x^{8} + 43 x^{7} + 44 x^{6} - 21 x^{5} + 106 x^{4} - 15 x^{3} + 10 x^{2} + 48 x - 32$ |
$13$ |
[1,6] |
$1019^{6}$ |
$1$ |
$24.4561497458$ |
$31.921779399024736$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$37255.7439837$ |
| 13.1.376...729.1 |
$x^{13} - 5 x^{12} + 9 x^{11} - 5 x^{10} + 6 x^{9} - 56 x^{8} + 137 x^{7} - 132 x^{6} + 40 x^{5} + x^{4} + 61 x^{3} - 85 x^{2} + 28 x + 25$ |
$13$ |
[1,6] |
$29^{6}\cdot 43^{6}$ |
$2$ |
$26.8448783381$ |
$35.31288716601915$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$14605.4935551$ |
| 13.1.392...656.1 |
$x^{13} - 6 x^{12} + 18 x^{11} - 32 x^{10} + 16 x^{9} + 64 x^{8} - 162 x^{7} + 96 x^{6} + 211 x^{5} - 394 x^{4} + 168 x^{3} + 136 x^{2} + 20 x - 8$ |
$13$ |
[1,6] |
$2^{18}\cdot 157^{6}$ |
$2$ |
$26.9341274288$ |
$35.4400902933387$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$656720.852793$ |
| 13.1.887...361.1 |
$x^{13} - 6 x^{12} + 21 x^{11} - 51 x^{10} + 86 x^{9} - 124 x^{8} + 177 x^{7} - 203 x^{6} + 217 x^{5} - 230 x^{4} + 152 x^{3} - 163 x^{2} + 63 x - 49$ |
$13$ |
[1,6] |
$1439^{6}$ |
$1$ |
$28.6791661672$ |
$37.93415347678132$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$12868.435065$ |
| 13.1.933...201.1 |
$x^{13} - 3 x^{12} + 24 x^{10} - 55 x^{9} + 3 x^{8} + 159 x^{7} - 451 x^{6} + 650 x^{5} - 808 x^{4} + 757 x^{3} - 681 x^{2} + 344 x - 196$ |
$13$ |
[1,6] |
$1451^{6}$ |
$1$ |
$28.7893005382$ |
$38.09199390948182$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$120307.36238$ |
| 13.1.113...001.1 |
$x^{13} - 6 x^{12} + 19 x^{11} - 37 x^{10} + 60 x^{9} - 157 x^{8} + 503 x^{7} - 1154 x^{6} + 1645 x^{5} - 1339 x^{4} + 492 x^{3} - 315 x^{2} + 848 x - 592$ |
$13$ |
[1,6] |
$1499^{6}$ |
$1$ |
$29.2250053796$ |
$38.71692136521188$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$134840.880113$ |
| 13.1.214...369.1 |
$x^{13} - 5 x^{12} - 2 x^{11} + 54 x^{10} - 98 x^{9} - 80 x^{8} + 441 x^{7} - 237 x^{6} - 814 x^{5} + 1060 x^{4} + 624 x^{3} - 336 x^{2} - 32 x + 64$ |
$13$ |
[1,6] |
$1667^{6}$ |
$1$ |
$30.6935555345$ |
$40.82891132518721$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$224905.094869$ |
| 13.1.224...921.1 |
$x^{13} - 4 x^{12} + 17 x^{11} - 59 x^{10} + 147 x^{9} - 256 x^{8} + 356 x^{7} - 423 x^{6} + 457 x^{5} - 390 x^{4} + 253 x^{3} - 102 x^{2} + 63 x + 19$ |
$13$ |
[1,6] |
$23^{6}\cdot 73^{6}$ |
$2$ |
$30.7953352733$ |
$40.97560249709576$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$22532.5912908$ |
| 13.1.272...625.1 |
$x^{13} - 3 x^{12} - x^{11} + 17 x^{9} + 28 x^{8} - 67 x^{7} - 137 x^{6} + 147 x^{5} + 140 x^{4} + 168 x^{3} - 803 x^{2} - 220 x - 395$ |
$13$ |
[1,6] |
$5^{6}\cdot 347^{6}$ |
$2$ |
$31.265206256$ |
$41.65333119931706$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$179464.45726$ |
| 13.1.378...424.1 |
$x^{13} - 6 x^{12} + 25 x^{11} - 84 x^{10} + 217 x^{9} - 478 x^{8} + 903 x^{7} - 1520 x^{6} + 2050 x^{5} - 2560 x^{4} + 2452 x^{3} - 1792 x^{2} + 552 x - 160$ |
$13$ |
[1,6] |
$2^{18}\cdot 229^{6}$ |
$2$ |
$32.0601537849$ |
$42.80186911806539$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2696005.52153$ |
| 13.1.480...449.1 |
$x^{13} - x^{12} + 15 x^{11} - 34 x^{10} + 93 x^{9} - 251 x^{8} + 394 x^{7} - 405 x^{6} + 245 x^{5} + 62 x^{4} - 509 x^{3} + 543 x^{2} - 271 x + 374$ |
$13$ |
[1,6] |
$1907^{6}$ |
$1$ |
$32.6593857354$ |
$43.669211121796096$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$333391.286353$ |
| 13.1.936...281.1 |
$x^{13} - 5 x^{12} + 8 x^{11} + 5 x^{10} - 50 x^{9} + 175 x^{8} - 384 x^{7} + 399 x^{6} + 257 x^{5} - 1126 x^{4} + 856 x^{3} + 40 x^{2} - 1456 x + 2048$ |
$13$ |
[1,6] |
$2131^{6}$ |
$1$ |
$34.3771037212$ |
$46.16275555033516$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$746752.77063$ |
| 13.1.968...849.1 |
$x^{13} - 5 x^{12} + 11 x^{11} - 8 x^{10} - 2 x^{9} - 46 x^{8} + 336 x^{7} - 876 x^{6} + 942 x^{5} + 304 x^{4} - 1784 x^{3} + 983 x^{2} + 828 x - 657$ |
$13$ |
[1,6] |
$2143^{6}$ |
$1$ |
$34.4663146274$ |
$46.292547996410825$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$175904.527309$ |
| 13.1.115...049.1 |
$x^{13} - 4 x^{12} + 3 x^{11} - 26 x^{10} + 84 x^{9} - 134 x^{8} + 228 x^{7} - 448 x^{6} + 450 x^{5} - 559 x^{4} + 669 x^{3} - 463 x^{2} + 365 x - 191$ |
$13$ |
[1,6] |
$2207^{6}$ |
$1$ |
$34.937625441$ |
$46.97871858618538$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$66077.4939064$ |
| 13.1.177...721.1 |
$x^{13} - 3 x^{12} - 5 x^{11} + 43 x^{10} - 65 x^{9} - 83 x^{8} + 391 x^{7} - 461 x^{6} + 273 x^{5} + x^{4} - 1395 x^{3} + 2727 x^{2} - 1620 x + 324$ |
$13$ |
[1,6] |
$2371^{6}$ |
$1$ |
$36.1127629585$ |
$48.692915295759406$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$1073404.7995$ |
| 13.1.353...041.1 |
$x^{13} - 6 x^{12} + 15 x^{11} - 18 x^{10} + 21 x^{9} - 68 x^{8} + 179 x^{7} + 110 x^{6} + 349 x^{5} - 2710 x^{4} + 4223 x^{3} - 3004 x^{2} + 1040 x - 128$ |
$13$ |
[1,6] |
$2659^{6}$ |
$1$ |
$38.074940437$ |
$51.56549233741495$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$1568605.1659$ |
| 13.1.472...241.1 |
$x^{13} - 2 x^{12} + 3 x^{11} + 16 x^{10} - 47 x^{9} + 129 x^{8} + 24 x^{7} - 255 x^{6} + 1320 x^{5} - 1394 x^{4} + 1138 x^{3} + 156 x^{2} - 757 x + 509$ |
$13$ |
[1,6] |
$2791^{6}$ |
$1$ |
$38.9359426692$ |
$52.82991576748916$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$286373.638985$ |
| 13.1.489...249.1 |
$x^{13} - 3 x^{12} + 8 x^{11} - 23 x^{10} - 10 x^{9} + 14 x^{8} + 98 x^{7} + 269 x^{6} + 309 x^{5} + 121 x^{4} + 175 x^{3} - 28 x^{2} + 245 x + 49$ |
$13$ |
[1,6] |
$7^{6}\cdot 401^{6}$ |
$2$ |
$39.038803466624586$ |
$52.98112871579842$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$297132.5632297882$ |
| 13.1.676...409.1 |
$x^{13} - x^{12} + 4 x^{11} - 16 x^{10} - 47 x^{9} + 117 x^{8} - 474 x^{7} + 1302 x^{6} - 621 x^{5} + 173 x^{4} - 410 x^{3} + 880 x^{2} - 584 x + 176$ |
$13$ |
[1,6] |
$2963^{6}$ |
$1$ |
$40.0255847386$ |
$54.433445601027316$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$1530081.69751$ |
| 13.1.858...369.1 |
$x^{13} - 4 x^{12} + 12 x^{11} - 44 x^{10} + 113 x^{9} - 62 x^{8} + 317 x^{7} - 972 x^{6} + 1238 x^{5} - 1890 x^{4} + 1319 x^{3} - 2988 x^{2} + 9256 x - 6616$ |
$13$ |
[1,6] |
$3083^{6}$ |
$1$ |
$40.7657533938$ |
$55.52476924760696$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$1618593.01245$ |
| 13.1.124...321.1 |
$x^{13} - 6 x^{12} + 32 x^{11} - 104 x^{10} + 306 x^{9} - 556 x^{8} + 953 x^{7} - 900 x^{6} + 448 x^{5} - 928 x^{4} - 15 x^{3} - 260 x^{2} + 39 x - 99$ |
$13$ |
[1,6] |
$3^{6}\cdot 1093^{6}$ |
$2$ |
$41.94207230630177$ |
$57.262553208881634$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2156096.9810069236$ |
| 13.1.170...625.1 |
$x^{13} - 2 x^{12} + 10 x^{11} + 7 x^{10} - 70 x^{9} - 157 x^{8} - 110 x^{7} + 532 x^{6} + 1595 x^{5} + 1948 x^{4} + 1271 x^{3} + 275 x^{2} - 80 x + 25$ |
$13$ |
[1,6] |
$5^{6}\cdot 691^{6}$ |
$2$ |
$42.9664893158667$ |
$58.77924803874238$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$848962.9741613518$ |
| 13.1.184...729.1 |
$x^{13} - x^{12} + x^{11} - 30 x^{10} + 21 x^{9} - 77 x^{8} + 219 x^{7} - 44 x^{6} + 1191 x^{5} + 586 x^{4} + 530 x^{3} - 1167 x^{2} + 780 x - 275$ |
$13$ |
[1,6] |
$31^{6}\cdot 113^{6}$ |
$2$ |
$43.240972023380415$ |
$59.18614702783076$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$280371.2768280586$ |
| 13.1.192...489.1 |
$x^{13} - 2 x^{12} - 3 x^{11} + 18 x^{10} + 24 x^{9} - 70 x^{8} - 62 x^{7} + 172 x^{6} + 334 x^{5} - 265 x^{4} - 1189 x^{3} - 971 x^{2} + 311 x - 37$ |
$13$ |
[1,6] |
$3527^{6}$ |
$1$ |
$43.3774540399$ |
$59.388551085204966$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$247584.009597$ |
| 13.1.252...641.1 |
$x^{13} - 6 x^{12} + 17 x^{11} - 25 x^{10} + 51 x^{9} - 65 x^{8} - 62 x^{7} + 849 x^{6} - 3034 x^{5} + 9140 x^{4} - 13920 x^{3} + 10576 x^{2} - 3936 x + 576$ |
$13$ |
[1,6] |
$3691^{6}$ |
$1$ |
$44.2969857142$ |
$60.753600716336145$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$4940532.71808$ |
| 13.1.285...569.1 |
$x^{13} - 3 x^{12} + 6 x^{11} - x^{10} + 56 x^{9} + 182 x^{8} + 564 x^{7} + 902 x^{6} + 1582 x^{5} + 2124 x^{4} + 2769 x^{3} + 2650 x^{2} + 3150 x - 3625$ |
$13$ |
[1,6] |
$3767^{6}$ |
$1$ |
$44.7156467926$ |
$61.37589103222861$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$453987.408573$ |
| 13.1.362...481.1 |
$x^{13} - 8 x^{11} - 9 x^{10} - 12 x^{9} + 108 x^{8} + 128 x^{7} + 78 x^{6} - 543 x^{5} - 582 x^{4} - 80 x^{3} + 771 x^{2} + 568 x + 489$ |
$13$ |
[1,6] |
$3919^{6}$ |
$1$ |
$45.5395340964$ |
$62.601916903558156$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$635463.826032$ |
| 13.1.411...729.1 |
$x^{13} - 3 x^{12} + 18 x^{10} - 6 x^{9} - 56 x^{8} + 152 x^{7} + 128 x^{6} + 256 x^{5} - 106 x^{4} - 370 x^{3} - 136 x^{2} - x - 5$ |
$13$ |
[1,6] |
$4003^{6}$ |
$1$ |
$45.9874684751$ |
$63.26926584053272$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$7222649.14775$ |
| 13.1.482...161.1 |
$x^{13} - 2 x^{12} - 14 x^{11} + 84 x^{10} - 189 x^{9} + 211 x^{8} - 212 x^{7} + 213 x^{6} + 230 x^{5} - 987 x^{4} + 1476 x^{3} - 783 x^{2} - 1296 x + 1701$ |
$13$ |
[1,6] |
$4111^{6}$ |
$1$ |
$46.5560106124$ |
$64.11708040764177$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$808459.579319$ |
| 13.1.606...121.1 |
$x^{13} - 11 x^{11} - 2 x^{10} + 108 x^{9} - 209 x^{8} + 478 x^{7} - 993 x^{6} + 1036 x^{5} - 990 x^{4} + 914 x^{3} + 258 x^{2} + 274 x + 379$ |
$13$ |
[1,6] |
$4271^{6}$ |
$1$ |
$47.3837068703$ |
$65.35288822997802$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$424408.180337$ |
| 13.1.838...649.1 |
$x^{13} - 6 x^{12} + 24 x^{11} - 65 x^{10} + 99 x^{9} - 132 x^{8} - 6 x^{7} - 225 x^{6} + 1034 x^{5} - 4692 x^{4} + 9024 x^{3} - 15040 x^{2} + 12288 x - 9216$ |
$13$ |
[1,6] |
$4507^{6}$ |
$1$ |
$48.5746457689$ |
$67.1341939699882$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$10670572.6643$ |
| 13.1.100...849.1 |
$x^{13} - x^{12} + 7 x^{11} - 48 x^{10} - 41 x^{9} + 135 x^{8} + 320 x^{7} - 521 x^{6} + 573 x^{5} + 1348 x^{4} + 633 x^{3} - 459 x^{2} - 181 x - 166$ |
$13$ |
[1,6] |
$4643^{6}$ |
$1$ |
$49.2457349418$ |
$68.1395626636978$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$6629388.70815$ |
| 13.1.104...921.1 |
$x^{13} - 4 x^{12} - x^{11} - 34 x^{10} + 227 x^{9} - 353 x^{8} + 1159 x^{7} - 4050 x^{6} + 5688 x^{5} - 5653 x^{4} - 1085 x^{3} + 1646 x^{2} - 1591 x - 1093$ |
$13$ |
[1,6] |
$4679^{6}$ |
$1$ |
$49.4215987169$ |
$68.40321629865075$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$396390.937641$ |
| 13.1.115...001.1 |
$x^{13} - 3 x^{12} - 12 x^{11} + 78 x^{10} - 110 x^{9} - 306 x^{8} + 1447 x^{7} - 2343 x^{6} + 1990 x^{5} - 1046 x^{4} + 128 x^{3} + 748 x^{2} - 316 x + 373$ |
$13$ |
[1,6] |
$4751^{6}$ |
$1$ |
$49.7711535281$ |
$68.92749814116279$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$672696.447094$ |
| 13.1.133...721.1 |
$x^{13} - 6 x^{12} + 9 x^{11} - 4 x^{10} + 107 x^{9} - 72 x^{8} - 26 x^{7} - 390 x^{6} + 213 x^{5} + 237 x^{4} - 462 x^{3} - 766 x^{2} - 459 x - 103$ |
$13$ |
[1,6] |
$4871^{6}$ |
$1$ |
$50.3474637938$ |
$69.79254974565696$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$447354.100639$ |
| 13.1.141...481.1 |
$x^{13} - x^{12} - 8 x^{11} - 49 x^{10} - 69 x^{9} + 218 x^{8} + 1013 x^{7} + 3697 x^{6} + 11642 x^{5} + 26019 x^{4} + 35230 x^{3} + 27299 x^{2} + 10844 x + 1813$ |
$13$ |
[1,6] |
$4919^{6}$ |
$1$ |
$50.5758451584$ |
$70.13558298039591$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2612813.04591$ |
| 13.13.282...601.1 |
$x^{13} - 3 x^{12} - 41 x^{11} + 155 x^{10} + 376 x^{9} - 2028 x^{8} - 13 x^{7} + 8927 x^{6} - 7711 x^{5} - 13367 x^{4} + 20364 x^{3} + 1404 x^{2} - 13408 x + 5312$ |
$13$ |
[13,0] |
$8101^{6}$ |
$1$ |
$63.6708880391$ |
$90.00555538409837$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$12$ |
$235421273.11$ |
| 13.13.361...641.1 |
$x^{13} - x^{12} - 50 x^{11} + 25 x^{10} + 722 x^{9} - 226 x^{8} - 4207 x^{7} + 1158 x^{6} + 10465 x^{5} - 2535 x^{4} - 9399 x^{3} + 1079 x^{2} + 1316 x - 49$ |
$13$ |
[13,0] |
$23^{6}\cdot 367^{6}$ |
$2$ |
$64.8906015414$ |
$91.87491496594704$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$12$ |
$100827679.942$ |
| 13.1.201...536.1 |
$x^{13} - 3 x^{12} - 4 x^{11} + 36 x^{10} + 126 x^{9} - 98 x^{8} - 932 x^{7} + 2596 x^{6} - 1175 x^{5} - 6579 x^{4} + 42960 x^{3} - 17440 x^{2} - 55232 x + 90176$ |
$13$ |
[1,6] |
$2^{12}\cdot 53^{12}$ |
$2$ |
$74.04796137497303$ |
$78.10327769094482$ |
|
|
|
$D_{13}$ (as 13T2) |
$[13]$ |
$2$ |
$6$ |
$143626578.18118104$ |
| 13.1.430...489.1 |
$x^{13} - 3 x^{12} - 8 x^{11} + 104 x^{10} - 692 x^{9} + 3428 x^{8} - 8262 x^{7} + 6914 x^{6} + 4464 x^{5} - 53952 x^{4} + 102420 x^{3} + 67140 x^{2} - 146259 x + 48033$ |
$13$ |
[1,6] |
$3^{6}\cdot 79^{12}$ |
$2$ |
$93.7271877654942$ |
$97.77242883415123$ |
|
|
|
$D_{13}$ (as 13T2) |
$[13]$ |
$2$ |
$6$ |
$398864627.1831563$ |
| 13.1.577...009.1 |
$x^{13} - 2 x^{12} + 10 x^{11} - 60 x^{10} + 19 x^{9} - 55 x^{8} + 1286 x^{7} - 5877 x^{6} + 11378 x^{5} - 22577 x^{4} + 58759 x^{3} - 216048 x^{2} - 152278 x - 2208381$ |
$13$ |
[1,6] |
$7^{6}\cdot 53^{12}$ |
$2$ |
$95.870394283159$ |
$103.32092467462952$ |
|
|
|
$D_{13}$ (as 13T2) |
$[13]$ |
$2$ |
$6$ |
$25402745.97030467$ |
| 13.1.870...601.1 |
$x^{13} - 2 x^{12} + 10 x^{11} - 7 x^{10} + 284 x^{9} - 532 x^{8} + 491 x^{7} + 17178 x^{6} - 75330 x^{5} + 318955 x^{4} - 942676 x^{3} + 2527868 x^{2} - 4563680 x + 4699904$ |
$13$ |
[1,6] |
$11^{6}\cdot 53^{12}$ |
$2$ |
$118.10874152018647$ |
$129.5196334988997$ |
|
|
|
$D_{13}$ (as 13T2) |
$[13]$ |
$2$ |
$6$ |
$198841510.74740678$ |
| 13.1.559...625.1 |
$x^{13} - 6 x^{12} - 16 x^{11} + 129 x^{10} - 51 x^{9} - 804 x^{8} + 3422 x^{7} - 393 x^{6} - 22868 x^{5} + 33357 x^{4} + 64269 x^{3} - 108540 x^{2} - 133650 x + 273375$ |
$13$ |
[1,6] |
$3^{6}\cdot 5^{6}\cdot 53^{12}$ |
$3$ |
$136.2858021180073$ |
$151.24634689062128$ |
|
|
|
$D_{13}$ (as 13T2) |
$[13]$ |
$2$ |
$6$ |
$1898111991.9739501$ |
