| 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 |
| 26.26.127...693.1 |
$x^{26} - x^{25} - 25 x^{24} + 24 x^{23} + 276 x^{22} - 253 x^{21} - 1771 x^{20} + 1540 x^{19} + 7315 x^{18} - 5985 x^{17} - 20349 x^{16} + 15504 x^{15} + 38760 x^{14} - 27132 x^{13} - 50388 x^{12} + 31824 x^{11} + 43758 x^{10} - 24310 x^{9} - 24310 x^{8} + 11440 x^{7} + 8008 x^{6} - 3003 x^{5} - 1365 x^{4} + 364 x^{3} + 91 x^{2} - 13 x - 1$ |
$26$ |
[26,0] |
$53^{25}$ |
$1$ |
$45.4943607364$ |
$45.494360736359816$ |
|
✓ |
✓ |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$14915851505236.459$ |
| 26.0.275...999.1 |
$x^{26} - x^{25} + 2 x^{24} + 48 x^{23} - 41 x^{22} + 75 x^{21} + 827 x^{20} - 597 x^{19} + 990 x^{18} + 6414 x^{17} - 3755 x^{16} + 5397 x^{15} + 23537 x^{14} - 10353 x^{13} + 15676 x^{12} + 35758 x^{11} - 6997 x^{10} + 39165 x^{9} + 14468 x^{8} + 8338 x^{7} + 43270 x^{6} - 25107 x^{5} + 25775 x^{4} - 10788 x^{3} - 8746 x^{2} + 10048 x + 4289$ |
$26$ |
[0,13] |
$-\,79^{25}$ |
$1$ |
$66.7792341258$ |
$66.77923412581892$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[265]$ |
$2$ |
$12$ |
$57529828940.82975$ |
| 26.0.384...563.1 |
$x^{26} - x^{25} + 25 x^{24} - 14 x^{23} + 405 x^{22} - 192 x^{21} + 3603 x^{20} - 1111 x^{19} + 22650 x^{18} - 5414 x^{17} + 87624 x^{16} - 5096 x^{15} + 234451 x^{14} - 19756 x^{13} + 367484 x^{12} - 30562 x^{11} + 404986 x^{10} - 57146 x^{9} + 232119 x^{8} - 34742 x^{7} + 91429 x^{6} - 16226 x^{5} + 7319 x^{4} + 98 x^{3} + 168 x^{2} - 10 x + 1$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 53^{24}$ |
$2$ |
$67.6394225992$ |
$67.63942259918862$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[53, 53]$ |
$6$ |
$12$ |
$5382739421.971964$ |
| 26.0.161...184.1 |
$x^{26} + 49 x^{24} + 994 x^{22} + 10915 x^{20} + 71324 x^{18} + 287620 x^{16} + 721007 x^{14} + 1111118 x^{12} + 1019820 x^{10} + 521449 x^{8} + 129173 x^{6} + 10874 x^{4} + 236 x^{2} + 1$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 53^{24}$ |
$2$ |
$78.1032776909$ |
$78.10327769094482$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[14209]$ |
$4$ |
$12$ |
$5382739421.971964$ |
| 26.0.203...839.1 |
$x^{26} - x^{25} + 28 x^{24} - 29 x^{23} + 276 x^{22} - 306 x^{21} + 1038 x^{20} - 1375 x^{19} + 54 x^{18} - 1586 x^{17} - 8106 x^{16} - 449 x^{15} - 5336 x^{14} - 49021 x^{13} + 97058 x^{12} - 111859 x^{11} + 338650 x^{10} + 82909 x^{9} + 16023 x^{8} + 521830 x^{7} - 124280 x^{6} - 1299383 x^{5} + 3115247 x^{4} - 2524927 x^{3} + 1035234 x^{2} + 2787416 x + 1009861$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 53^{25}$ |
$2$ |
$78.7985442532$ |
$78.79854425324184$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[32510]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.26.294...125.1 |
$x^{26} - 11 x^{25} - 7 x^{24} + 468 x^{23} - 1046 x^{22} - 6960 x^{21} + 26796 x^{20} + 40357 x^{19} - 278503 x^{18} + 355 x^{17} + 1499785 x^{16} - 1077692 x^{15} - 4479644 x^{14} + 5284410 x^{13} + 7470556 x^{12} - 11963101 x^{11} - 6678940 x^{10} + 14762504 x^{9} + 2744933 x^{8} - 10366844 x^{7} - 29320 x^{6} + 4079010 x^{5} - 378384 x^{4} - 821546 x^{3} + 120702 x^{2} + 64121 x - 11789$ |
$26$ |
[26,0] |
$5^{13}\cdot 53^{24}$ |
$2$ |
$87.3221190912$ |
$87.32211909124771$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$53967208334298856$ |
| 26.0.858...752.1 |
$x^{26} + 53 x^{24} + 1166 x^{22} + 13939 x^{20} + 99640 x^{18} + 442444 x^{16} + 1229759 x^{14} + 2105054 x^{12} + 2133568 x^{10} + 1209089 x^{8} + 365117 x^{6} + 53318 x^{4} + 2968 x^{2} + 53$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 53^{25}$ |
$2$ |
$90.9887214727$ |
$90.98872147271963$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[195474]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.0.556...363.1 |
$x^{26} - x^{25} + 37 x^{24} - 118 x^{23} + 1008 x^{22} - 3235 x^{21} + 16642 x^{20} - 51633 x^{19} + 196206 x^{18} - 526339 x^{17} + 1528709 x^{16} - 3470974 x^{15} + 8121237 x^{14} - 15101678 x^{13} + 27024309 x^{12} - 37166826 x^{11} + 48531861 x^{10} - 47702921 x^{9} + 49613581 x^{8} - 37639084 x^{7} + 35389248 x^{6} - 18788771 x^{5} + 15390312 x^{4} - 4606662 x^{3} + 4701993 x^{2} - 643428 x + 85849$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 79^{24}$ |
$2$ |
$97.7724288342$ |
$97.77242883415123$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[57473]$ |
$6$ |
$12$ |
$57529828940.82975$ |
| 26.26.156...625.1 |
$x^{26} - x^{25} - 78 x^{24} + 77 x^{23} + 2608 x^{22} - 2532 x^{21} - 49206 x^{20} + 46749 x^{19} + 580404 x^{18} - 533706 x^{17} - 4483638 x^{16} + 3900033 x^{15} + 23134676 x^{14} - 18225371 x^{13} - 80012336 x^{12} + 52642857 x^{11} + 183881042 x^{10} - 85848429 x^{9} - 274320987 x^{8} + 59188590 x^{7} + 250434704 x^{6} + 15619489 x^{5} - 117142919 x^{4} - 37579021 x^{3} + 14295304 x^{2} + 7895450 x + 798709$ |
$26$ |
[26,0] |
$5^{13}\cdot 53^{25}$ |
$2$ |
$101.728483199$ |
$101.72848319939794$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
$[2]$ |
$2$ |
$25$ |
$796588150034711700$ |
| 26.0.233...567.1 |
$x^{26} - 11 x^{25} + 32 x^{24} + 72 x^{23} - 470 x^{22} - 300 x^{21} + 5790 x^{20} - 11543 x^{19} + 2138 x^{18} - 1493 x^{17} + 126811 x^{16} - 489500 x^{15} + 1145956 x^{14} - 2174910 x^{13} + 4404928 x^{12} - 9349303 x^{11} + 21707936 x^{10} - 45568357 x^{9} + 94651964 x^{8} - 167065424 x^{7} + 281189852 x^{6} - 383212608 x^{5} + 505907604 x^{4} - 494051417 x^{3} + 493165779 x^{2} - 275771917 x + 183561919$ |
$26$ |
[0,13] |
$-\,7^{13}\cdot 53^{24}$ |
$2$ |
$103.320924675$ |
$103.32092467462952$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[1152931]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.0.854...251.1 |
$x^{26} - x^{25} + 3 x^{24} - 11 x^{23} + 44 x^{22} + 444 x^{21} + 172 x^{20} - 1660 x^{19} - 4713 x^{18} - 12939 x^{17} + 26193 x^{16} + 35200 x^{15} - 140905 x^{14} + 424503 x^{13} + 143672 x^{12} - 1088095 x^{11} + 163498 x^{10} - 410278 x^{9} + 3177833 x^{8} - 3344770 x^{7} + 4162585 x^{6} - 2783945 x^{5} + 3599581 x^{4} - 4829444 x^{3} + 1868225 x^{2} + 472321 x + 4461913$ |
$26$ |
[0,13] |
$-\,131^{25}$ |
$1$ |
$108.60199026$ |
$108.6019902595675$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[3, 3, 795]$ |
$2$ |
$12$ |
$1197545162478.713$ |
| 26.0.132...328.1 |
$x^{26} - 2 x^{25} - 21 x^{24} + 38 x^{23} + 294 x^{22} - 464 x^{21} - 1357 x^{20} + 1930 x^{19} + 9504 x^{18} - 8228 x^{17} + 25716 x^{16} - 28630 x^{15} + 286963 x^{14} - 378044 x^{13} + 2103312 x^{12} - 1678782 x^{11} + 11411452 x^{10} - 5574160 x^{9} + 50609745 x^{8} - 14301644 x^{7} + 160353701 x^{6} - 26227056 x^{5} + 361035384 x^{4} - 44819066 x^{3} + 515469360 x^{2} - 43859864 x + 329025401$ |
$26$ |
[0,13] |
$-\,2^{39}\cdot 53^{24}$ |
$2$ |
$110.454714576$ |
$110.45471457632615$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[1064051]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.26.132...328.1 |
$x^{26} - 2 x^{25} - 73 x^{24} + 134 x^{23} + 2166 x^{22} - 3640 x^{21} - 34469 x^{20} + 52714 x^{19} + 327544 x^{18} - 453164 x^{17} - 1957340 x^{16} + 2432394 x^{15} + 7531107 x^{14} - 8328084 x^{13} - 18730676 x^{12} + 18209442 x^{11} + 29677420 x^{10} - 24941144 x^{9} - 28852591 x^{8} + 20368692 x^{7} + 16012693 x^{6} - 8893984 x^{5} - 4454532 x^{4} + 1587526 x^{3} + 501952 x^{2} - 42320 x - 12167$ |
$26$ |
[26,0] |
$2^{39}\cdot 53^{24}$ |
$2$ |
$110.454714576$ |
$110.45471457632615$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$3196294146983080400$ |
| 26.0.234...584.1 |
$x^{26} + 73 x^{24} + 2180 x^{22} + 35829 x^{20} + 363625 x^{18} + 2405673 x^{16} + 10625163 x^{14} + 31462021 x^{12} + 61715876 x^{10} + 77878153 x^{8} + 59854953 x^{6} + 25249803 x^{4} + 4581570 x^{2} + 85849$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 79^{24}$ |
$2$ |
$112.897876213$ |
$112.89787621344148$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[189047]$ |
$4$ |
$12$ |
$57529828940.82975$ |
| 26.26.439...677.1 |
$x^{26} - x^{25} - 77 x^{24} - 31 x^{23} + 2487 x^{22} + 4025 x^{21} - 40490 x^{20} - 113646 x^{19} + 311697 x^{18} + 1465307 x^{17} - 437386 x^{16} - 9437473 x^{15} - 9071733 x^{14} + 27660187 x^{13} + 59401398 x^{12} - 12621780 x^{11} - 138127674 x^{10} - 102611855 x^{9} + 97930228 x^{8} + 182685173 x^{7} + 55690317 x^{6} - 69761804 x^{5} - 68803449 x^{4} - 22484313 x^{3} - 1571682 x^{2} + 586590 x + 89293$ |
$26$ |
[26,0] |
$3^{13}\cdot 79^{25}$ |
$2$ |
$115.665026396$ |
$115.66502639645579$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$2262965364986346500$ |
| 26.0.123...051.1 |
$x^{26} - x^{25} + 81 x^{24} - 82 x^{23} + 2608 x^{22} - 2691 x^{21} + 42855 x^{20} - 45630 x^{19} + 381495 x^{18} - 420657 x^{17} + 1758861 x^{16} - 2126862 x^{15} + 3181448 x^{14} - 8194220 x^{13} + 820084 x^{12} - 40536072 x^{11} + 48560594 x^{10} - 137420874 x^{9} + 249867510 x^{8} - 30122664 x^{7} + 208213844 x^{6} - 42007517 x^{5} + 1289208265 x^{4} - 2138650018 x^{3} + 1674849805 x^{2} + 2407138829 x + 1042183837$ |
$26$ |
[0,13] |
$-\,7^{13}\cdot 53^{25}$ |
$2$ |
$120.366764564$ |
$120.36676456426942$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[53, 66568]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.26.383...173.1 |
$x^{26} - 78 x^{24} - 104 x^{23} + 2470 x^{22} + 6331 x^{21} - 37323 x^{20} - 151905 x^{19} + 215267 x^{18} + 1781858 x^{17} + 906503 x^{16} - 10051106 x^{15} - 18421481 x^{14} + 18065815 x^{13} + 85339592 x^{12} + 52742326 x^{11} - 124959328 x^{10} - 219905283 x^{9} - 49300303 x^{8} + 174681793 x^{7} + 179735062 x^{6} + 45373016 x^{5} - 27198223 x^{4} - 20621640 x^{3} - 4697355 x^{2} - 343057 x - 7751$ |
$26$ |
[26,0] |
$13^{49}$ |
$1$ |
$125.705644589$ |
$125.70564458909114$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$23413899400308634000$ |
| 26.26.426...125.1 |
$x^{26} - 11 x^{25} - 31 x^{24} + 616 x^{23} + 162 x^{22} - 15056 x^{21} + 4190 x^{20} + 209025 x^{19} - 58361 x^{18} - 1788553 x^{17} + 140843 x^{16} + 9584292 x^{15} + 1790481 x^{14} - 31294019 x^{13} - 14262346 x^{12} + 57442428 x^{11} + 40567618 x^{10} - 49003867 x^{9} - 46847964 x^{8} + 10936597 x^{7} + 15898634 x^{6} - 1051271 x^{5} - 2127423 x^{4} + 177547 x^{3} + 104206 x^{2} - 17478 x + 631$ |
$26$ |
[26,0] |
$5^{13}\cdot 79^{24}$ |
$2$ |
$126.223662864$ |
$126.22366286430585$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$7085626941768992000$ |
| 26.0.703...384.1 |
$x^{26} + 106 x^{24} + 4664 x^{22} + 111512 x^{20} + 1594240 x^{18} + 14158208 x^{16} + 78704576 x^{14} + 269446912 x^{12} + 546193408 x^{10} + 619053568 x^{8} + 373879808 x^{6} + 109195264 x^{4} + 12156928 x^{2} + 434176$ |
$26$ |
[0,13] |
$-\,2^{39}\cdot 53^{25}$ |
$2$ |
$128.67748393$ |
$128.67748392970816$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[16834278]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.26.703...384.1 |
$x^{26} - 106 x^{24} + 4664 x^{22} - 111512 x^{20} + 1594240 x^{18} - 14158208 x^{16} + 78704576 x^{14} - 269446912 x^{12} + 546193408 x^{10} - 619053568 x^{8} + 373879808 x^{6} - 109195264 x^{4} + 12156928 x^{2} - 434176$ |
$26$ |
[26,0] |
$2^{39}\cdot 53^{25}$ |
$2$ |
$128.67748393$ |
$128.67748392970816$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
$[2]$ |
$2$ |
$25$ |
$5192842746653208000$ |
| 26.26.789...557.1 |
$x^{26} - x^{25} - 75 x^{24} + 168 x^{23} + 2185 x^{22} - 7628 x^{21} - 28151 x^{20} + 154495 x^{19} + 89472 x^{18} - 1560168 x^{17} + 1523303 x^{16} + 7430502 x^{15} - 17012789 x^{14} - 9122158 x^{13} + 65170750 x^{12} - 45224081 x^{11} - 89817297 x^{10} + 152145203 x^{9} - 5772234 x^{8} - 148474350 x^{7} + 101902947 x^{6} + 25846692 x^{5} - 57715210 x^{4} + 21152028 x^{3} + 1141817 x^{2} - 2166125 x + 342901$ |
$26$ |
[26,0] |
$157^{25}$ |
$1$ |
$129.253399248$ |
$129.2533992481427$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$68363713941558436000$ |
| 26.0.833...211.1 |
$x^{26} - 11 x^{25} + 45 x^{24} - 60 x^{23} + 34 x^{22} - 984 x^{21} + 6796 x^{20} - 23643 x^{19} + 68365 x^{18} - 206429 x^{17} + 699117 x^{16} - 2159628 x^{15} + 6343892 x^{14} - 16258486 x^{13} + 41351964 x^{12} - 94709797 x^{11} + 223682928 x^{10} - 466972712 x^{9} + 1004077677 x^{8} - 1819021316 x^{7} + 3357872176 x^{6} - 4894096774 x^{5} + 7375230728 x^{4} - 7821265802 x^{3} + 9149067838 x^{2} - 5536163135 x + 4569738463$ |
$26$ |
[0,13] |
$-\,11^{13}\cdot 53^{24}$ |
$2$ |
$129.519633499$ |
$129.5196334988997$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[3, 3, 1605201]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.26.185...136.1 |
$x^{26} - 79 x^{24} + 2528 x^{22} - 42739 x^{20} + 417989 x^{18} - 2445287 x^{16} + 8601283 x^{14} - 17752643 x^{12} + 20149108 x^{10} - 11220923 x^{8} + 2900801 x^{6} - 310233 x^{4} + 10586 x^{2} - 79$ |
$26$ |
[26,0] |
$2^{26}\cdot 79^{25}$ |
$2$ |
$133.558468252$ |
$133.55846825163783$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
$[3]$ |
$2$ |
$25$ |
$6734782845265950000$ |
| 26.26.258...432.1 |
$x^{26} - 2 x^{25} - 86 x^{24} + 158 x^{23} + 3024 x^{22} - 5094 x^{21} - 57267 x^{20} + 88060 x^{19} + 648879 x^{18} - 906778 x^{17} - 4625769 x^{16} + 5839670 x^{15} + 21232303 x^{14} - 24022934 x^{13} - 62988943 x^{12} + 63396508 x^{11} + 118804702 x^{10} - 106283650 x^{9} - 136412460 x^{8} + 110464796 x^{7} + 87553846 x^{6} - 67862476 x^{5} - 26467591 x^{4} + 21937294 x^{3} + 1921305 x^{2} - 2695784 x + 279841$ |
$26$ |
[26,0] |
$2^{26}\cdot 3^{13}\cdot 53^{24}$ |
$3$ |
$135.278845198$ |
$135.27884519837724$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$74976425731025760000$ |
| 26.26.730...893.1 |
$x^{26} - 11 x^{25} - 33 x^{24} + 732 x^{23} - 650 x^{22} - 18660 x^{21} + 43660 x^{20} + 233157 x^{19} - 794597 x^{18} - 1483913 x^{17} + 7250271 x^{16} + 4114140 x^{15} - 37710724 x^{14} + 2064770 x^{13} + 117022908 x^{12} - 43965313 x^{11} - 218101734 x^{10} + 114942028 x^{9} + 236602449 x^{8} - 131092304 x^{7} - 136303988 x^{6} + 61867022 x^{5} + 33037124 x^{4} - 5737562 x^{3} - 1480706 x^{2} - 57707 x + 529$ |
$26$ |
[26,0] |
$13^{13}\cdot 53^{24}$ |
$2$ |
$140.802686248$ |
$140.80268624825212$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$104723787342670040000$ |
| 26.0.336...875.1 |
$x^{26} - x^{25} + 81 x^{24} + 127 x^{23} + 2487 x^{22} + 10345 x^{21} + 50834 x^{20} + 263974 x^{19} + 916837 x^{18} + 3605259 x^{17} + 11849642 x^{16} + 33958807 x^{15} + 95600897 x^{14} + 229517195 x^{13} + 508321268 x^{12} + 1046082342 x^{11} + 1876093298 x^{10} + 3098569897 x^{9} + 4639987670 x^{8} + 5825110231 x^{7} + 6533079805 x^{6} + 6257078964 x^{5} + 4117698851 x^{4} + 3036419703 x^{3} + 4545159242 x^{2} + 2836865762 x + 672625141$ |
$26$ |
[0,13] |
$-\,5^{13}\cdot 79^{25}$ |
$2$ |
$149.322906991$ |
$149.32290699070484$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[4885304]$ |
$2$ |
$12$ |
$57529828940.82975$ |
| 26.0.338...767.1 |
$x^{26} - 11 x^{25} + 8 x^{24} + 220 x^{23} + 18 x^{22} - 3704 x^{21} - 2308 x^{20} + 32061 x^{19} + 64360 x^{18} - 154129 x^{17} - 503077 x^{16} + 37356 x^{15} + 2148333 x^{14} + 1760065 x^{13} - 988693 x^{12} + 5630364 x^{11} + 48261148 x^{10} + 106509143 x^{9} + 187657668 x^{8} + 300082081 x^{7} + 625580801 x^{6} + 1033869253 x^{5} + 1699916559 x^{4} + 2235176701 x^{3} + 2932101364 x^{2} + 2418267426 x + 1492440721$ |
$26$ |
[0,13] |
$-\,7^{13}\cdot 79^{24}$ |
$2$ |
$149.349852004$ |
$149.34985200406032$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[8511191]$ |
$2$ |
$12$ |
$57529828940.82975$ |
| 26.0.441...183.1 |
$x^{26} - x^{25} + 134 x^{24} - 135 x^{23} + 7272 x^{22} - 7408 x^{21} + 207314 x^{20} - 214859 x^{19} + 3365872 x^{18} - 3529266 x^{17} + 31452906 x^{16} - 33307875 x^{15} + 160481844 x^{14} - 201399519 x^{13} + 399638724 x^{12} - 1090191903 x^{11} + 1078517226 x^{10} - 5333780593 x^{9} + 7447220393 x^{8} - 10347834170 x^{7} + 17322572104 x^{6} - 3801869175 x^{5} + 50805450213 x^{4} - 94464627281 x^{3} + 97635221932 x^{2} + 113892513590 x + 60572712821$ |
$26$ |
[0,13] |
$-\,11^{13}\cdot 53^{25}$ |
$2$ |
$150.88772464$ |
$150.8877246395823$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
not computed |
$2$ |
$12$ |
|
| 26.0.469...375.1 |
$x^{26} - 11 x^{25} + 58 x^{24} - 192 x^{23} + 694 x^{22} - 3120 x^{21} + 14666 x^{20} - 57343 x^{19} + 214432 x^{18} - 732225 x^{17} + 2553145 x^{16} - 8058692 x^{15} + 25499556 x^{14} - 71057510 x^{13} + 200174256 x^{12} - 492849091 x^{11} + 1253687550 x^{10} - 2731752221 x^{9} + 6241296158 x^{8} - 11704874804 x^{7} + 23269915520 x^{6} - 35392358120 x^{5} + 58711220016 x^{4} - 65397167421 x^{3} + 86147056237 x^{2} - 54641860909 x + 52746287941$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 5^{13}\cdot 53^{24}$ |
$3$ |
$151.246346891$ |
$151.24634689062128$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[208891462]$ |
$2$ |
$12$ |
$5382739421.971964$ |
| 26.0.104...283.1 |
$x^{26} - x^{25} + 61 x^{24} + 6 x^{23} + 2428 x^{22} + 745 x^{21} + 53416 x^{20} + 34671 x^{19} + 835048 x^{18} + 606289 x^{17} + 7656274 x^{16} + 7911027 x^{15} + 50259437 x^{14} + 53321755 x^{13} + 222049643 x^{12} + 235929538 x^{11} + 711364146 x^{10} + 658848433 x^{9} + 1489046291 x^{8} + 1147597018 x^{7} + 2167670685 x^{6} + 1324856027 x^{5} + 1912484318 x^{4} + 753653983 x^{3} + 998748064 x^{2} + 333252757 x + 245454889$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 131^{24}$ |
$2$ |
$155.942646472$ |
$155.94264647177133$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[1526201]$ |
$6$ |
$12$ |
$1197545162478.713$ |
| 26.26.136...896.1 |
$x^{26} - 159 x^{24} + 10494 x^{22} - 376353 x^{20} + 8070840 x^{18} - 107513892 x^{16} + 896494311 x^{14} - 4603753098 x^{12} + 13998339648 x^{10} - 23798498787 x^{8} + 21559793733 x^{6} - 9445123746 x^{4} + 1577316888 x^{2} - 84499119$ |
$26$ |
[26,0] |
$2^{26}\cdot 3^{13}\cdot 53^{25}$ |
$3$ |
$157.597088506$ |
$157.5970885064837$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
$[2]$ |
$2$ |
$25$ |
$65471383026909620000$ |
| 26.0.191...128.1 |
$x^{26} - 2 x^{25} - 45 x^{24} + 178 x^{23} + 768 x^{22} - 5448 x^{21} + 801 x^{20} + 65886 x^{19} - 134835 x^{18} - 349218 x^{17} + 1833359 x^{16} - 1872300 x^{15} - 4196097 x^{14} + 11424264 x^{13} + 3723051 x^{12} - 71922706 x^{11} + 268110160 x^{10} - 834583714 x^{9} + 2196377085 x^{8} - 4640948852 x^{7} + 8189022689 x^{6} - 12586842022 x^{5} + 17351590713 x^{4} - 20853231606 x^{3} + 21481183702 x^{2} - 16566954540 x + 8027125537$ |
$26$ |
[0,13] |
$-\,2^{39}\cdot 79^{24}$ |
$2$ |
$159.661707704$ |
$159.66170770416778$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
not computed |
$2$ |
$12$ |
|
| 26.26.191...128.1 |
$x^{26} - 2 x^{25} - 97 x^{24} + 274 x^{23} + 3600 x^{22} - 12928 x^{21} - 64015 x^{20} + 293118 x^{19} + 533589 x^{18} - 3564090 x^{17} - 1089717 x^{16} + 23968180 x^{15} - 13363361 x^{14} - 87417128 x^{13} + 103695959 x^{12} + 151824110 x^{11} - 299732504 x^{10} - 49085562 x^{9} + 375988637 x^{8} - 168890324 x^{7} - 147518415 x^{6} + 153068810 x^{5} - 33898995 x^{4} - 8099910 x^{3} + 3461310 x^{2} - 50580 x - 35447$ |
$26$ |
[26,0] |
$2^{39}\cdot 79^{24}$ |
$2$ |
$159.661707704$ |
$159.66170770416778$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$514750610132899270000$ |
| 26.26.239...497.1 |
$x^{26} - 11 x^{25} - 46 x^{24} + 864 x^{23} - 218 x^{22} - 26688 x^{21} + 47802 x^{20} + 420577 x^{19} - 1139464 x^{18} - 3650177 x^{17} + 13015057 x^{16} + 17384092 x^{15} - 84200156 x^{14} - 39841542 x^{13} + 324920368 x^{12} + 9184973 x^{11} - 753477802 x^{10} + 148887155 x^{9} + 1020742598 x^{8} - 291363716 x^{7} - 746387536 x^{6} + 202807416 x^{5} + 242230560 x^{4} - 44893709 x^{3} - 16149195 x^{2} + 3285731 x - 103667$ |
$26$ |
[26,0] |
$17^{13}\cdot 53^{24}$ |
$2$ |
$161.014031813$ |
$161.01403181335644$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$189533419563539170000$ |
| 26.26.387...329.1 |
$x^{26} - x^{25} - 184 x^{24} + 183 x^{23} + 14268 x^{22} - 14086 x^{21} - 612490 x^{20} + 598585 x^{19} + 16089370 x^{18} - 15388122 x^{17} - 270313194 x^{16} + 246233523 x^{15} + 2954365608 x^{14} - 2442913785 x^{13} - 20986142706 x^{12} + 14563237893 x^{11} + 95061660594 x^{10} - 48083263759 x^{9} - 262326941485 x^{8} + 68701741726 x^{7} + 399116329504 x^{6} + 10753142193 x^{5} - 256395661245 x^{4} - 85248420923 x^{3} + 7165503790 x^{2} + 643114124 x - 4674283$ |
$26$ |
[26,0] |
$13^{13}\cdot 53^{25}$ |
$2$ |
$164.032250379$ |
$164.03225037940098$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
$[4]$ |
$2$ |
$25$ |
$88301907040780570000$ |
| 26.0.248...875.1 |
$x^{26} - x^{25} + 187 x^{24} - 188 x^{23} + 14268 x^{22} - 14457 x^{21} + 578049 x^{20} - 592696 x^{19} + 13558779 x^{18} - 13959401 x^{17} + 188306247 x^{16} - 192097412 x^{15} + 1512632896 x^{14} - 1643661436 x^{13} + 6589281884 x^{12} - 10923776128 x^{11} + 18513107422 x^{10} - 64903945574 x^{9} + 87181434018 x^{8} - 204155575160 x^{7} + 296287639624 x^{6} - 177883731071 x^{5} + 788591474591 x^{4} - 1442009661016 x^{3} + 1728793845279 x^{2} + 1756646750735 x + 1140470028259$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 5^{13}\cdot 53^{25}$ |
$3$ |
$176.198901478$ |
$176.19890147827417$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
not computed |
$2$ |
$12$ |
|
| 26.26.267...593.1 |
$x^{26} - x^{25} - 156 x^{24} - 110 x^{23} + 10071 x^{22} + 22195 x^{21} - 329551 x^{20} - 1208507 x^{19} + 5310580 x^{18} + 30844380 x^{17} - 25391827 x^{16} - 402354875 x^{15} - 383501239 x^{14} + 2536241039 x^{13} + 6019633502 x^{12} - 4639134330 x^{11} - 30521065603 x^{10} - 22839488411 x^{9} + 50701543916 x^{8} + 101906597908 x^{7} + 33139423840 x^{6} - 78629976783 x^{5} - 102426530893 x^{4} - 53539363068 x^{3} - 13595597644 x^{2} - 1573526488 x - 65884397$ |
$26$ |
[26,0] |
$7^{13}\cdot 79^{25}$ |
$2$ |
$176.68124624$ |
$176.68124624027465$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$2411631151251373700000$ |
| 26.0.437...144.1 |
$x^{26} + 121 x^{24} + 6052 x^{22} + 163895 x^{20} + 2652975 x^{18} + 26945411 x^{16} + 177180824 x^{14} + 769764830 x^{12} + 2226843762 x^{10} + 4256806366 x^{8} + 5227349377 x^{6} + 3883036579 x^{4} + 1545040687 x^{2} + 245454889$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 131^{24}$ |
$2$ |
$180.067057837$ |
$180.06705783723962$ |
✓ |
✓ |
? |
$C_{26}$ (as 26T1) |
$[3, 3, 1620687]$ |
$4$ |
$12$ |
$1197545162478.713$ |
| 26.0.801...923.1 |
$x^{26} - x^{25} + 73 x^{24} - 186 x^{23} + 3641 x^{22} - 9330 x^{21} + 100019 x^{20} - 222719 x^{19} + 1875616 x^{18} - 3492740 x^{17} + 23704391 x^{16} - 32264444 x^{15} + 210535014 x^{14} - 201710657 x^{13} + 1351138459 x^{12} - 636617440 x^{11} + 6088122667 x^{10} - 338323732 x^{9} + 19670105030 x^{8} + 9111135848 x^{7} + 40261020210 x^{6} + 33026511660 x^{5} + 66399395218 x^{4} + 51808567752 x^{3} + 39465012376 x^{2} + 13351703742 x + 3769837201$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 157^{24}$ |
$2$ |
$184.308312114$ |
$184.30831211371242$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[10628423]$ |
$6$ |
$12$ |
$5466968796671.363$ |
| 26.0.120...811.1 |
$x^{26} - 11 x^{25} + 21 x^{24} + 88 x^{23} + 282 x^{22} - 2824 x^{21} - 690 x^{20} + 8273 x^{19} + 77627 x^{18} - 78793 x^{17} - 90833 x^{16} - 678796 x^{15} + 2458481 x^{14} + 494653 x^{13} + 16867730 x^{12} + 26865868 x^{11} + 209322522 x^{10} + 425393325 x^{9} + 1365115456 x^{8} + 2360295077 x^{7} + 6020127942 x^{6} + 9320051345 x^{5} + 18829589581 x^{4} + 23592642699 x^{3} + 36604214346 x^{2} + 29028971434 x + 25840556879$ |
$26$ |
[0,13] |
$-\,11^{13}\cdot 79^{24}$ |
$2$ |
$187.219947514$ |
$187.21994751398762$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[298678381]$ |
$2$ |
$12$ |
$57529828940.82975$ |
| 26.26.126...341.1 |
$x^{26} - x^{25} - 237 x^{24} + 236 x^{23} + 23596 x^{22} - 23361 x^{21} - 1295607 x^{20} + 1272480 x^{19} + 43336299 x^{18} - 41744121 x^{17} - 922097601 x^{16} + 847617156 x^{15} + 12679275824 x^{14} - 10620996476 x^{13} - 112332798212 x^{12} + 80106834336 x^{11} + 626544673310 x^{10} - 342523579686 x^{9} - 2083673460942 x^{8} + 713094712440 x^{7} + 3678187011560 x^{6} - 367759090103 x^{5} - 2570589441833 x^{4} - 491134065712 x^{3} + 124126156759 x^{2} - 1531488649 x - 253846469$ |
$26$ |
[26,0] |
$17^{13}\cdot 53^{25}$ |
$2$ |
$187.578054686$ |
$187.57805468596436$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
$[4]$ |
$2$ |
$25$ |
$788899536890369100000$ |
| 26.26.136...073.1 |
$x^{26} - x^{25} - 128 x^{24} + 120 x^{23} + 6463 x^{22} - 5975 x^{21} - 170783 x^{20} + 151479 x^{19} + 2653408 x^{18} - 2161208 x^{17} - 25843163 x^{16} + 18764532 x^{15} + 163067279 x^{14} - 104314451 x^{13} - 672763111 x^{12} + 382039090 x^{11} + 1790670843 x^{10} - 929930603 x^{9} - 2949081397 x^{8} + 1478044102 x^{7} + 2744646036 x^{6} - 1431320998 x^{5} - 1163844385 x^{4} + 695470618 x^{3} + 86015551 x^{2} - 84268697 x + 8312527$ |
$26$ |
[26,0] |
$3^{13}\cdot 131^{25}$ |
$2$ |
$188.104164933$ |
$188.10416493267124$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$1768130091528311500000$ |
| 26.0.151...112.1 |
$x^{26} + 158 x^{24} + 10112 x^{22} + 341912 x^{20} + 6687824 x^{18} + 78249184 x^{16} + 550482112 x^{14} + 2272338304 x^{12} + 5158171648 x^{10} + 5745112576 x^{8} + 2970420224 x^{6} + 635357184 x^{4} + 43360256 x^{2} + 647168$ |
$26$ |
[0,13] |
$-\,2^{39}\cdot 79^{25}$ |
$2$ |
$188.880197171$ |
$188.88019717124266$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[217593176]$ |
$2$ |
$12$ |
$57529828940.82975$ |
| 26.26.151...112.1 |
$x^{26} - 158 x^{24} + 10112 x^{22} - 341912 x^{20} + 6687824 x^{18} - 78249184 x^{16} + 550482112 x^{14} - 2272338304 x^{12} + 5158171648 x^{10} - 5745112576 x^{8} + 2970420224 x^{6} - 635357184 x^{4} + 43360256 x^{2} - 647168$ |
$26$ |
[26,0] |
$2^{39}\cdot 79^{25}$ |
$2$ |
$188.880197171$ |
$188.88019717124266$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$1693285076012345600000$ |
| 26.26.373...632.1 |
$x^{26} - 2 x^{25} - 110 x^{24} + 298 x^{23} + 4698 x^{22} - 15458 x^{21} - 100019 x^{20} + 387876 x^{19} + 1130070 x^{18} - 5295248 x^{17} - 6513691 x^{16} + 41264200 x^{15} + 13707903 x^{14} - 185004256 x^{13} + 34084476 x^{12} + 464489034 x^{11} - 231878250 x^{10} - 612670414 x^{9} + 436159945 x^{8} + 374426398 x^{7} - 332262756 x^{6} - 88275712 x^{5} + 102776883 x^{4} + 4496184 x^{3} - 11681058 x^{2} + 419040 x + 336697$ |
$26$ |
[26,0] |
$2^{26}\cdot 3^{13}\cdot 79^{24}$ |
$3$ |
$195.544857668$ |
$195.54485766830246$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$7436031871254272000000$ |
| 26.0.469...683.1 |
$x^{26} + 78 x^{24} - 130 x^{23} + 4004 x^{22} - 7527 x^{21} + 118209 x^{20} - 221065 x^{19} + 2466438 x^{18} - 3861598 x^{17} + 33363850 x^{16} - 35475531 x^{15} + 319252037 x^{14} - 209210171 x^{13} + 2237301599 x^{12} - 454924431 x^{11} + 11474018296 x^{10} + 1115139675 x^{9} + 42930078217 x^{8} + 15685044765 x^{7} + 106111400109 x^{6} + 33671529801 x^{5} + 154621048686 x^{4} + 55803125274 x^{3} + 130850955287 x^{2} + 4427364461 x + 148035889$ |
$26$ |
[0,13] |
$-\,3^{13}\cdot 13^{48}$ |
$2$ |
$197.274718172$ |
$197.27471817203326$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[13, 551629]$ |
$6$ |
$12$ |
$11194599795188.498$ |
| 26.26.796...125.1 |
$x^{26} - 11 x^{25} - 79 x^{24} + 1244 x^{23} + 924 x^{22} - 54186 x^{21} + 78438 x^{20} + 1172291 x^{19} - 3213380 x^{18} - 13246818 x^{17} + 53470266 x^{16} + 69443954 x^{15} - 469879785 x^{14} - 14946243 x^{13} + 2264921609 x^{12} - 1595204916 x^{11} - 5626894204 x^{10} + 7250022480 x^{9} + 5497185211 x^{8} - 12721612999 x^{7} + 1563567289 x^{6} + 8050593245 x^{5} - 4634451406 x^{4} - 300524389 x^{3} + 777425706 x^{2} - 153269122 x + 5379961$ |
$26$ |
[26,0] |
$5^{13}\cdot 131^{24}$ |
$2$ |
$201.321090916$ |
$201.32109091622704$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$4932378447748938000000$ |
| 26.26.105...693.1 |
$x^{26} - 11 x^{25} - 57 x^{24} + 880 x^{23} + 1038 x^{22} - 29884 x^{21} + 822 x^{20} + 560201 x^{19} - 311575 x^{18} - 6318949 x^{17} + 5301193 x^{16} + 43853516 x^{15} - 44883247 x^{14} - 183515795 x^{13} + 215561192 x^{12} + 432764524 x^{11} - 575076162 x^{10} - 497778327 x^{9} + 763726138 x^{8} + 219989261 x^{7} - 429440544 x^{6} - 47073727 x^{5} + 105773239 x^{4} + 6250371 x^{3} - 9474756 x^{2} - 44114 x + 221651$ |
$26$ |
[26,0] |
$13^{13}\cdot 79^{24}$ |
$2$ |
$203.529540789$ |
$203.52954078927473$ |
|
✓ |
|
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$15248476620472010000000$ |
| 26.0.337...664.1 |
$x^{26} + 145 x^{24} + 8786 x^{22} + 297801 x^{20} + 6317962 x^{18} + 88430622 x^{16} + 835400600 x^{14} + 5340563011 x^{12} + 22740238646 x^{10} + 62077115096 x^{8} + 101147766894 x^{6} + 86626329100 x^{4} + 31642042988 x^{2} + 3769837201$ |
$26$ |
[0,13] |
$-\,2^{26}\cdot 157^{24}$ |
$2$ |
$212.820907225$ |
$212.82090722547485$ |
✓ |
✓ |
|
$C_{26}$ (as 26T1) |
$[13, 4268953]$ |
$4$ |
$12$ |
$5466968796671.363$ |
| 26.26.573...864.1 |
$x^{26} - 131 x^{24} + 6812 x^{22} - 182745 x^{20} + 2784143 x^{18} - 25376141 x^{16} + 143325004 x^{14} - 509684058 x^{12} + 1135945802 x^{10} - 1544541090 x^{8} + 1210493317 x^{6} - 484104605 x^{4} + 71742543 x^{2} - 487451$ |
$26$ |
[26,0] |
$2^{26}\cdot 131^{25}$ |
$2$ |
$217.203980519$ |
$217.203980519135$ |
|
✓ |
? |
$C_{26}$ (as 26T1) |
trivial |
$2$ |
$25$ |
$24334596273964407000000$ |
