| 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 |
| 14.0.604...375.1 |
$x^{14} - 5 x^{13} + 13 x^{12} - 19 x^{11} + 150 x^{10} - 514 x^{9} + 2438 x^{8} - 6347 x^{7} + 22552 x^{6} - 42720 x^{5} + 123031 x^{4} - 143071 x^{3} + 363084 x^{2} - 231593 x + 499381$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{7}\cdot 29^{12}$ |
$3$ |
$69.4271963584$ |
$69.4271963583542$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 226]$ |
$[2, 2, 2, 226]$ |
$2$ |
$6$ |
$6020.985100147561$ |
| 14.0.104...875.1 |
$x^{14} + 42 x^{12} - 119 x^{11} + 553 x^{10} - 2702 x^{9} + 6174 x^{8} - 15735 x^{7} + 36995 x^{6} - 61572 x^{5} + 88655 x^{4} - 58940 x^{3} + 2863 x^{2} - 4557 x + 30361$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 7^{25}$ |
$2$ |
$72.2085534777$ |
$72.208553477661$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[254]$ |
$[254]$ |
$2$ |
$6$ |
$35256.6897369$ |
| 14.0.134...375.1 |
$x^{14} - x^{13} + 45 x^{12} + 67 x^{11} + 585 x^{10} + 2263 x^{9} + 4916 x^{8} + 17291 x^{7} + 36289 x^{6} + 71331 x^{5} + 129077 x^{4} + 181931 x^{3} + 270017 x^{2} + 169588 x + 119189$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 43^{13}$ |
$2$ |
$73.4982738412$ |
$73.49827384122756$ |
✓ |
✓ |
|
$C_{14}$ (as 14T1) |
$[2842]$ |
$[2842]$ |
$2$ |
$6$ |
$35991.6418506$ |
| 14.0.175...875.1 |
$x^{14} - x^{13} + 103 x^{12} - 104 x^{11} + 3546 x^{10} - 3651 x^{9} + 50063 x^{8} - 69132 x^{7} + 283946 x^{6} - 695198 x^{5} + 1099322 x^{4} - 1801888 x^{3} + 5495644 x^{2} - 5241351 x + 3832639$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{7}\cdot 29^{13}$ |
$3$ |
$88.3052709798$ |
$88.30527097984334$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 4, 4, 116]$ |
$[2, 2, 4, 4, 116]$ |
$2$ |
$6$ |
$6020.985100147561$ |
| 14.0.682...375.1 |
$x^{14} - 5 x^{13} + x^{12} - 15 x^{11} + 290 x^{10} - 82 x^{9} + 1576 x^{8} - 399 x^{7} + 22358 x^{6} + 20590 x^{5} + 123285 x^{4} + 99663 x^{3} + 589214 x^{2} + 602483 x + 1228891$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{7}\cdot 43^{12}$ |
$3$ |
$97.3108908936$ |
$97.31089089355721$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[1766]$ |
$[1766]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.0.227...875.1 |
$x^{14} - 5 x^{13} + 48 x^{12} - 169 x^{11} + 1260 x^{10} - 3759 x^{9} + 24153 x^{8} - 61247 x^{7} + 328657 x^{6} - 650470 x^{5} + 2903596 x^{4} - 3877996 x^{3} + 14758999 x^{2} - 10152668 x + 33177421$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 7^{7}\cdot 29^{12}$ |
$3$ |
$106.0517942$ |
$106.05179420024018$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 5306]$ |
$[2, 2, 2, 5306]$ |
$2$ |
$6$ |
$6020.985100147561$ |
| 14.0.327...375.1 |
$x^{14} - 7 x^{13} + 7 x^{12} + 7 x^{11} + 322 x^{10} - 700 x^{9} + 966 x^{8} - 1217 x^{7} + 27482 x^{6} - 672 x^{5} + 104601 x^{4} + 13965 x^{3} + 797146 x^{2} + 807429 x + 2290621$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{7}\cdot 7^{24}$ |
$3$ |
$108.839146311$ |
$108.83914631084006$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[12238]$ |
$[12238]$ |
$2$ |
$6$ |
$35256.68973693789$ |
| 14.0.660...375.1 |
$x^{14} - x^{13} + 248 x^{12} - 249 x^{11} + 20946 x^{10} - 21196 x^{9} + 747078 x^{8} - 951747 x^{7} + 11017281 x^{6} - 22664583 x^{5} + 74493972 x^{4} - 163620583 x^{3} + 444796489 x^{2} - 451469716 x + 476400689$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 7^{7}\cdot 29^{13}$ |
$3$ |
$134.88852951$ |
$134.88852950957312$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 2, 5944]$ |
$[2, 2, 2, 2, 5944]$ |
$2$ |
$6$ |
$6020.985100147561$ |
| 14.14.171...000.1 |
$x^{14} - 210 x^{12} + 13475 x^{10} - 300125 x^{8} + 2358125 x^{6} - 4593750 x^{4} + 3062500 x^{2} - 546875$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{7}\cdot 7^{25}$ |
$3$ |
$144.417106955$ |
$144.417106955322$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$13$ |
$44546570063.5057$ |
| 14.14.219...000.1 |
$x^{14} - 215 x^{12} + 15050 x^{10} - 424625 x^{8} + 5321250 x^{6} - 28218750 x^{4} + 47703125 x^{2} - 3359375$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{7}\cdot 43^{13}$ |
$3$ |
$146.996547682$ |
$146.99654768245512$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$13$ |
$17454096502.86243$ |
| 14.0.257...875.1 |
$x^{14} - 5 x^{13} + 36 x^{12} - 165 x^{11} + 1160 x^{10} - 2707 x^{9} + 22811 x^{8} - 27219 x^{7} + 328903 x^{6} - 89140 x^{5} + 3204020 x^{4} + 602378 x^{3} + 19889249 x^{2} + 7744478 x + 58736881$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 7^{7}\cdot 43^{12}$ |
$3$ |
$148.644841154$ |
$148.6448411544383$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 2, 2, 2, 1486]$ |
$[2, 2, 2, 2, 2, 2, 1486]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.0.313...000.1 |
$x^{14} + 28 x^{12} - 42 x^{11} + 1043 x^{10} + 686 x^{9} + 27041 x^{8} + 33840 x^{7} + 508025 x^{6} + 804706 x^{5} + 6352920 x^{4} + 8567650 x^{3} + 48628468 x^{2} + 47642756 x + 178610849$ |
$14$ |
[0,7] |
$-\,2^{21}\cdot 5^{7}\cdot 7^{24}$ |
$3$ |
$177.733581668$ |
$177.7335816677869$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[283234]$ |
$[283234]$ |
$2$ |
$6$ |
$35256.68973693789$ |
| 14.14.313...000.1 |
$x^{14} - 112 x^{12} - 42 x^{11} + 4403 x^{10} + 1526 x^{9} - 76139 x^{8} - 880 x^{7} + 578585 x^{6} - 317534 x^{5} - 1621060 x^{4} + 1652210 x^{3} + 903588 x^{2} - 1536164 x + 409169$ |
$14$ |
[14,0] |
$2^{21}\cdot 5^{7}\cdot 7^{24}$ |
$3$ |
$177.733581668$ |
$177.7335816677869$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2]$ |
$2$ |
$13$ |
$94310409310.79233$ |
| 14.14.382...125.1 |
$x^{14} - x^{13} - 165 x^{12} + 144 x^{11} + 8592 x^{10} - 12479 x^{9} - 180710 x^{8} + 356450 x^{7} + 1555668 x^{6} - 3676471 x^{5} - 5098624 x^{4} + 14870131 x^{3} + 2594385 x^{2} - 18628419 x + 6407099$ |
$14$ |
[14,0] |
$5^{7}\cdot 113^{13}$ |
$2$ |
$180.266482865$ |
$180.26648286493696$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2, 2, 2, 2]$ |
$2$ |
$13$ |
$57057608765.11787$ |
| 14.0.174...875.1 |
$x^{14} - x^{13} + 132 x^{12} + 180 x^{11} + 1915 x^{10} + 2085 x^{9} + 26433 x^{8} + 55438 x^{7} + 760329 x^{6} + 1125862 x^{5} + 3273901 x^{4} + 12466019 x^{3} + 29806445 x^{2} + 33909513 x + 17221049$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 127^{13}$ |
$2$ |
$200.917159107$ |
$200.91715910678712$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[31370]$ |
$[31370]$ |
$2$ |
$6$ |
$546287.2103473756$ |
| 14.14.372...000.1 |
$x^{14} - 2 x^{13} - 268 x^{12} + 458 x^{11} + 29061 x^{10} - 41692 x^{9} - 1647713 x^{8} + 1922524 x^{7} + 52469761 x^{6} - 47274336 x^{5} - 929721282 x^{4} + 588086506 x^{3} + 8353396874 x^{2} - 2919638032 x - 28521712379$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{7}\cdot 7^{7}\cdot 29^{12}$ |
$4$ |
$212.1035884$ |
$212.10358840048036$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2, 2, 2, 2, 2, 2, 2, 2]$ |
$2$ |
$13$ |
$441517339606.1864$ |
| 14.14.536...000.1 |
$x^{14} - 147 x^{12} - 42 x^{11} + 7868 x^{10} + 1736 x^{9} - 193809 x^{8} + 21940 x^{7} + 2250850 x^{6} - 1431094 x^{5} - 11040680 x^{4} + 12735100 x^{3} + 14986993 x^{2} - 27349644 x + 9800749$ |
$14$ |
[14,0] |
$2^{14}\cdot 3^{7}\cdot 5^{7}\cdot 7^{24}$ |
$4$ |
$217.678292622$ |
$217.67829262168013$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$13$ |
$250498896170.08533$ |
| 14.14.108...000.1 |
$x^{14} - 1015 x^{12} + 355250 x^{10} - 53465125 x^{8} + 3394413750 x^{6} - 82249256250 x^{4} + 693026140625 x^{2} - 1865839609375$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{7}\cdot 7^{7}\cdot 29^{13}$ |
$4$ |
$269.777059019$ |
$269.77705901914624$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2]$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
$13$ |
$689579486463.4602$ |
| 14.14.525...625.1 |
$x^{14} - x^{13} - 288 x^{12} - 171 x^{11} + 29763 x^{10} + 39651 x^{9} - 1397960 x^{8} - 1919154 x^{7} + 31946750 x^{6} + 27314498 x^{5} - 342259148 x^{4} + 2231642 x^{3} + 1274228596 x^{2} - 763821009 x - 423312419$ |
$14$ |
[14,0] |
$5^{7}\cdot 197^{13}$ |
$2$ |
$302.037442067$ |
$302.037442067283$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[6]$ |
$[2, 2, 2, 6]$ |
$2$ |
$13$ |
$1371962811366.028$ |
| 14.0.168...000.1 |
$x^{14} - 21 x^{8} - 18 x^{7} + 539 x^{2} + 924 x + 396$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{21}\cdot 11^{6}$ |
$5$ |
$537.563779875$ |
$7029.636873826796$ |
|
|
|
$A_7\wr C_2$ (as 14T58) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$66527467763100$ |
| 14.2.215...000.1 |
$x^{14} - 2 x^{13} + 30 x^{12} - 580 x^{11} + 650 x^{10} + 170360 x^{9} - 161460 x^{8} - 25912396 x^{7} + 131548597 x^{6} + 1228614602 x^{5} - 9309204498 x^{4} - 56231800112 x^{3} + 564196131944 x^{2} - 145423479168 x - 8192905864704$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{7}\cdot 197^{13}$ |
$3$ |
$547.124917548154$ |
$604.074884134566$ |
|
|
|
$D_{14}$ (as 14T3) |
$[42]$ |
$[42]$ |
$2$ |
$7$ |
$1393294353178584.5$ |
| 14.0.861...000.1 |
$x^{14} - 6 x^{13} - 124 x^{12} + 100 x^{11} - 4283 x^{10} + 254818 x^{9} + 2074418 x^{8} - 14197416 x^{7} - 243186544 x^{6} - 928097312 x^{5} + 18706247200 x^{4} + 6623181952 x^{3} - 1115417828096 x^{2} + 3231615166464 x + 36942266179584$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 5^{7}\cdot 197^{13}$ |
$3$ |
$604.074884134566$ |
$604.074884134566$ |
|
|
|
$D_{14}$ (as 14T3) |
$[2, 84]$ |
$[2, 84]$ |
$2$ |
$6$ |
$207817412126686.53$ |
| 16.0.184...000.1 |
$x^{16} - 4 x^{15} + 72 x^{14} - 418 x^{13} + 1884 x^{12} - 7164 x^{11} + 20739 x^{10} - 29055 x^{9} + 110342 x^{8} - 62254 x^{7} - 189992 x^{6} - 1607640 x^{5} + 5846136 x^{4} - 20305704 x^{3} + 147433762 x^{2} - 482704562 x + 665559376$ |
$16$ |
[0,8] |
$2^{14}\cdot 5^{8}\cdot 13^{8}\cdot 29^{12}$ |
$4$ |
$184.780621266$ |
$486.1196414793201$ |
|
|
? |
$C_2^4:F_8$ (as 16T1075) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$7$ |
$210488729286$ |
| 16.16.141...000.1 |
$x^{16} - 5 x^{15} - 122 x^{14} + 440 x^{13} + 5820 x^{12} - 13760 x^{11} - 131952 x^{10} + 202014 x^{9} + 1434878 x^{8} - 1674944 x^{7} - 6895362 x^{6} + 8498338 x^{5} + 11742223 x^{4} - 17306301 x^{3} - 2522800 x^{2} + 8214672 x - 1561536$ |
$16$ |
[16,0] |
$2^{18}\cdot 5^{8}\cdot 37^{8}\cdot 4457^{4}$ |
$4$ |
$242.384736482$ |
|
|
|
? |
$C_2^6:(C_2\times \GL(3,2))$ (as 16T1801) |
$[2]$ |
$[2, 2, 2, 4]$ |
$2$ |
$15$ |
$386823124324000$ |
| 16.0.205...000.1 |
$x^{16} - 7 x^{15} + 22 x^{14} - 182 x^{13} + 2850 x^{12} - 16562 x^{11} + 47520 x^{10} - 112130 x^{9} + 848111 x^{8} - 2942361 x^{7} - 378872 x^{6} + 40135950 x^{5} - 70072682 x^{4} + 26808900 x^{3} + 286993746 x^{2} - 457552166 x + 337333286$ |
$16$ |
[0,8] |
$2^{18}\cdot 5^{8}\cdot 13^{8}\cdot 199^{8}$ |
$4$ |
$248.051559419$ |
$837.1891731578766$ |
|
|
|
$C_2^3:F_8:C_6$ (as 16T1501) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$7$ |
$4844961142290$ |
| 16.16.205...000.1 |
$x^{16} - 5 x^{15} - 206 x^{14} + 394 x^{13} + 16094 x^{12} + 9906 x^{11} - 527016 x^{10} - 1229188 x^{9} + 6369737 x^{8} + 25233487 x^{7} - 5757290 x^{6} - 129961078 x^{5} - 149818856 x^{4} + 55437244 x^{3} + 155788544 x^{2} + 46047008 x - 10358776$ |
$16$ |
[16,0] |
$2^{18}\cdot 5^{8}\cdot 13^{8}\cdot 199^{8}$ |
$4$ |
$248.051559419$ |
$837.1891731578766$ |
|
|
|
$C_2^3:F_8:C_6$ (as 16T1501) |
$[2]$ |
$[2, 2, 4]$ |
$2$ |
$15$ |
$899695155050000$ |
| 16.16.225...000.1 |
$x^{16} - 4 x^{15} - 390 x^{14} + 1967 x^{13} + 41349 x^{12} - 206262 x^{11} - 1845879 x^{10} + 8425305 x^{9} + 37945502 x^{8} - 152208847 x^{7} - 330074437 x^{6} + 1278794160 x^{5} + 845066348 x^{4} - 4604570523 x^{3} + 1108218986 x^{2} + 4808878620 x - 2992804360$ |
$16$ |
[16,0] |
$2^{8}\cdot 5^{8}\cdot 7^{16}\cdot 13^{8}\cdot 97^{6}$ |
$5$ |
$443.720114636$ |
$1402.3004335165967$ |
|
|
|
$C_2^4:\GL(3,2)$ (as 16T1505) |
$[4]$ |
$[2, 2, 8]$ |
$2$ |
$15$ |
$168021861640000000$ |
| 18.0.247...000.1 |
$x^{18} - 12 x^{15} - 18 x^{14} + 360 x^{12} + 1476 x^{11} + 1485 x^{10} + 4352 x^{9} + 3456 x^{8} - 1296 x^{7} + 21912 x^{6} + 29952 x^{5} + 5184 x^{4} - 104832 x^{3} - 135792 x^{2} + 110592 x + 262144$ |
$18$ |
[0,9] |
$-\,2^{32}\cdot 3^{45}\cdot 5^{9}$ |
$3$ |
$119.523300092$ |
|
|
|
|
$\SL(2,8)^2:S_3$ (as 18T938) |
$[6]$ |
$[6]$ |
$2$ |
$8$ |
$1679777100000$ |
| 21.1.116...000.1 |
$x^{21} - 28 x^{15} - 24 x^{14} + 196 x^{9} + 336 x^{8} + 144 x^{7} + 1372 x^{3} + 3528 x^{2} + 3024 x + 864$ |
$21$ |
[1,10] |
$2^{24}\cdot 3^{18}\cdot 5^{8}\cdot 7^{28}$ |
$4$ |
$139.980335566$ |
|
|
|
? |
$A_7^3.S_3$ (as 21T155) |
trivial |
trivial |
$2$ |
$10$ |
$643181672097000$ |
| 21.1.467...000.1 |
$x^{21} + 7 x^{15} - 6 x^{14} + 931 x^{9} - 1596 x^{8} + 684 x^{7} - 343 x^{3} + 882 x^{2} - 756 x + 216$ |
$21$ |
[1,10] |
$2^{26}\cdot 3^{18}\cdot 5^{8}\cdot 7^{28}$ |
$4$ |
$149.532830346$ |
|
|
|
? |
$A_7^3.S_3$ (as 21T155) |
trivial |
trivial |
$2$ |
$10$ |
$1492073311710000$ |
| 28.0.186...125.1 |
$x^{28} - x^{27} + 30 x^{26} - 30 x^{25} + 407 x^{24} - 407 x^{23} + 3307 x^{22} - 3307 x^{21} + 17981 x^{20} - 17981 x^{19} + 69340 x^{18} - 69340 x^{17} + 196621 x^{16} - 196621 x^{15} + 421429 x^{14} - 421429 x^{13} + 702439 x^{12} - 702439 x^{11} + 945981 x^{10} - 945981 x^{9} + 1086979 x^{8} - 1086979 x^{7} + 1138251 x^{6} - 1138251 x^{5} + 1148807 x^{4} - 1148807 x^{3} + 1149822 x^{2} - 1149822 x + 1149851$ |
$28$ |
[0,14] |
$5^{14}\cdot 29^{27}$ |
$2$ |
$57.4982332271$ |
$57.498233227148596$ |
✓ |
✓ |
? |
$C_{28}$ (as 28T1) |
$[2, 2, 2, 2, 1514]$ |
$[2, 2, 2, 2, 1514]$ |
$2$ |
$13$ |
$487075979.1876791$ |
| 28.0.307...625.4 |
$x^{28} - 12 x^{27} + 95 x^{26} - 544 x^{25} + 2722 x^{24} - 11790 x^{23} + 47230 x^{22} - 170465 x^{21} + 580519 x^{20} - 1817287 x^{19} + 5433646 x^{18} - 15049677 x^{17} + 40114635 x^{16} - 99220982 x^{15} + 237665411 x^{14} - 526242344 x^{13} + 1135619833 x^{12} - 2242768340 x^{11} + 4353420535 x^{10} - 7586336825 x^{9} + 13171343590 x^{8} - 19820814665 x^{7} + 30470050180 x^{6} - 37975578530 x^{5} + 50884013935 x^{4} - 48025395089 x^{3} + 54808752058 x^{2} - 30471626250 x + 28667253361$ |
$28$ |
[0,14] |
$3^{14}\cdot 5^{14}\cdot 29^{26}$ |
$3$ |
$88.3052709798$ |
$88.30527097984334$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[2, 2, 8, 8, 26216]$ |
$[2, 2, 8, 8, 26216]$ |
$2$ |
$13$ |
$487075979.1876791$ |
| 28.28.500...000.1 |
$x^{28} - 145 x^{26} + 9425 x^{24} - 362500 x^{22} + 9171250 x^{20} - 160496875 x^{18} + 1988765625 x^{16} - 17563125000 x^{14} + 109769531250 x^{12} - 475667968750 x^{10} + 1376933593750 x^{8} - 2503515625000 x^{6} + 2577148437500 x^{4} - 1239013671875 x^{2} + 177001953125$ |
$28$ |
[28,0] |
$2^{28}\cdot 5^{14}\cdot 29^{27}$ |
$3$ |
$114.996466454$ |
$114.99646645429719$ |
|
✓ |
? |
$C_{28}$ (as 28T1) |
not computed |
not computed |
$2$ |
$27$ |
|
| 28.0.525...625.2 |
$x^{28} + 84 x^{26} - 217 x^{25} + 2912 x^{24} - 14560 x^{23} + 71659 x^{22} - 391588 x^{21} + 1488277 x^{20} - 6086353 x^{19} + 21567980 x^{18} - 65842686 x^{17} + 196233849 x^{16} - 497510524 x^{15} + 1137117230 x^{14} - 2371978819 x^{13} + 4180452563 x^{12} - 6530048210 x^{11} + 8628022102 x^{10} - 8555270913 x^{9} + 5427710036 x^{8} + 1235116210 x^{7} - 11623926804 x^{6} + 16311743210 x^{5} - 8023502641 x^{4} + 3451494116 x^{3} + 12910029797 x^{2} - 9697609761 x + 7047016831$ |
$28$ |
[0,14] |
$3^{14}\cdot 5^{14}\cdot 7^{50}$ |
$3$ |
$125.068883364$ |
$125.0688833643632$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[1554226]$ |
$[1554226]$ |
$2$ |
$13$ |
$313718494464.2659$ |
| 28.0.861...625.2 |
$x^{28} - x^{27} + 76 x^{26} - 272 x^{25} + 2554 x^{24} - 14114 x^{23} + 64710 x^{22} - 333375 x^{21} + 1293450 x^{20} - 4898333 x^{19} + 17146257 x^{18} - 51208083 x^{17} + 145292111 x^{16} - 366127455 x^{15} + 807257549 x^{14} - 1633520987 x^{13} + 2862251304 x^{12} - 4290326877 x^{11} + 5821591630 x^{10} - 6805980932 x^{9} + 7109798546 x^{8} - 8807963766 x^{7} + 11508240040 x^{6} - 9734393760 x^{5} + 4390681678 x^{4} + 269038317 x^{3} - 3685985724 x^{2} + 1202700848 x + 1738118959$ |
$28$ |
[0,14] |
$3^{14}\cdot 5^{14}\cdot 43^{26}$ |
$3$ |
$127.302744562$ |
$127.30274456161668$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[2509486]$ |
$[2509486]$ |
$2$ |
$13$ |
$317240184583.5448$ |
| 28.0.435...625.4 |
$x^{28} - 12 x^{27} + 165 x^{26} - 1324 x^{25} + 11107 x^{24} - 69430 x^{23} + 443730 x^{22} - 2300835 x^{21} + 12120674 x^{20} - 53812557 x^{19} + 242656001 x^{18} - 938118712 x^{17} + 3695449290 x^{16} - 12540010002 x^{15} + 43632701831 x^{14} - 130128024424 x^{13} + 401990994498 x^{12} - 1048373821590 x^{11} + 2877180619235 x^{10} - 6478540490235 x^{9} + 15741664058330 x^{8} - 29866460265375 x^{7} + 63757852590995 x^{6} - 97362363181065 x^{5} + 180257872058575 x^{4} - 201449443445799 x^{3} + 317005813800973 x^{2} - 200200982368565 x + 259556141099971$ |
$28$ |
[0,14] |
$5^{14}\cdot 7^{14}\cdot 29^{26}$ |
$3$ |
$134.88852951$ |
$134.88852950957312$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.0.294...000.1 |
$x^{28} - 84 x^{26} + 2870 x^{24} - 44639 x^{22} + 255339 x^{20} + 932400 x^{18} - 13198584 x^{16} + 39185129 x^{14} + 211791601 x^{12} - 957936028 x^{10} + 1044923873 x^{8} + 1281041888 x^{6} + 4854326519 x^{4} - 153080837 x^{2} + 921790321$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 7^{50}$ |
$3$ |
$144.417106955$ |
$144.417106955322$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[18034]$ |
$[18034]$ |
$4$ |
$13$ |
$364925501960238.7$ |
| 28.0.483...000.2 |
$x^{28} - 89 x^{26} + 3329 x^{24} - 62519 x^{22} + 588583 x^{20} - 1980383 x^{18} - 8671408 x^{16} + 113508919 x^{14} - 400289655 x^{12} - 15204089 x^{10} + 5610699465 x^{8} - 21063815843 x^{6} + 41971668539 x^{4} - 35606022682 x^{2} + 14206017721$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 43^{26}$ |
$3$ |
$146.996547682$ |
$146.99654768245512$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[122206]$ |
$[122206]$ |
$4$ |
$13$ |
$142983958551449.03$ |
| 28.0.482...000.4 |
$x^{28} - 98 x^{26} - 84 x^{25} + 4270 x^{24} + 6412 x^{23} - 97538 x^{22} - 177600 x^{21} + 1342621 x^{20} + 2831220 x^{19} - 9416204 x^{18} - 22837808 x^{17} + 23499161 x^{16} + 113015504 x^{15} + 334083740 x^{14} + 268321200 x^{13} - 708266335 x^{12} - 269696196 x^{11} + 3993081344 x^{10} + 15642648476 x^{9} + 118791888544 x^{8} + 157504994024 x^{7} + 810697861582 x^{6} + 797468879508 x^{5} + 2837726973326 x^{4} + 1969016416892 x^{3} + 4995682349196 x^{2} + 1813457671172 x + 3456789250649$ |
$28$ |
[0,14] |
$2^{42}\cdot 5^{14}\cdot 7^{50}$ |
$3$ |
$204.236631295$ |
$204.23663129490222$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.0.482...000.5 |
$x^{28} - 70 x^{26} - 84 x^{25} + 2422 x^{24} + 5068 x^{23} - 38626 x^{22} - 104408 x^{21} + 430633 x^{20} + 1651972 x^{19} + 182000 x^{18} - 7617288 x^{17} - 6150963 x^{16} + 59290000 x^{15} + 448416620 x^{14} + 1054129104 x^{13} + 2845635177 x^{12} + 4291096796 x^{11} + 20891101756 x^{10} + 52970184596 x^{9} + 304787155988 x^{8} + 674144620360 x^{7} + 2487436552174 x^{6} + 3848216248772 x^{5} + 10252279894346 x^{4} + 10477877455052 x^{3} + 21520460035676 x^{2} + 11679956181964 x + 18055489522361$ |
$28$ |
[0,14] |
$2^{42}\cdot 5^{14}\cdot 7^{50}$ |
$3$ |
$204.236631295$ |
$204.23663129490222$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.0.139...000.3 |
$x^{28} - 71 x^{26} + 3134 x^{24} - 103115 x^{22} + 2680590 x^{20} - 56887557 x^{18} + 1000752497 x^{16} - 14622667911 x^{14} + 176389194029 x^{12} - 1730659386810 x^{10} + 13446153868496 x^{8} - 79269459344066 x^{6} + 331751693507177 x^{4} - 876254379204934 x^{2} + 1100741264211241$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 7^{14}\cdot 29^{24}$ |
$4$ |
$212.1035884$ |
$212.10358840048036$ |
✓ |
✓ |
|
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$4$ |
$13$ |
|
| 28.0.287...000.1 |
$x^{28} - 14 x^{27} + 231 x^{26} - 2184 x^{25} + 20125 x^{24} - 140490 x^{23} + 910749 x^{22} - 4916494 x^{21} + 24241980 x^{20} - 103637310 x^{19} + 401431380 x^{18} - 1372183008 x^{17} + 4220907614 x^{16} - 11519186798 x^{15} + 28049074701 x^{14} - 60387086942 x^{13} + 114593636066 x^{12} - 190063611654 x^{11} + 273107375450 x^{10} - 336318155446 x^{9} + 350769502895 x^{8} - 305750098314 x^{7} + 219150719501 x^{6} - 126486255056 x^{5} + 57086738898 x^{4} - 19291033328 x^{3} + 4559678865 x^{2} - 667931418 x + 45398629$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 5^{14}\cdot 7^{48}$ |
$4$ |
$217.678292622$ |
$217.67829262168013$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$4$ |
$13$ |
|
| 28.0.140...000.1 |
$x^{28} - 42 x^{26} + 3283 x^{24} - 64141 x^{22} + 1888901 x^{20} - 13823390 x^{18} + 145375748 x^{16} - 442331043 x^{14} + 2091819800 x^{12} - 1092238224 x^{10} + 905849280 x^{8} - 220661504 x^{6} + 83593216 x^{4} - 5619712 x^{2} + 802816$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 5^{14}\cdot 7^{50}$ |
$4$ |
$250.137766729$ |
$250.1377667287264$ |
✓ |
✓ |
|
$C_2\times C_{14}$ (as 28T2) |
$[2, 87403796]$ |
$[87403796, 2]$ |
$2$ |
$13$ |
$364925501960238.7$ |
| 28.28.140...000.3 |
$x^{28} - 259 x^{26} - 126 x^{25} + 27692 x^{24} + 25270 x^{23} - 1593004 x^{22} - 2067704 x^{21} + 54012987 x^{20} + 89930554 x^{19} - 1114299515 x^{18} - 2272374468 x^{17} + 13932913589 x^{16} + 34374275292 x^{15} - 100947318765 x^{14} - 311107593972 x^{13} + 366821491603 x^{12} + 1643423997740 x^{11} - 232371293847 x^{10} - 4740100579774 x^{9} - 2545586025094 x^{8} + 6218077995010 x^{7} + 7007137937989 x^{6} - 1338107929410 x^{5} - 5058056304826 x^{4} - 2068468489948 x^{3} + 218914939523 x^{2} + 271046334062 x + 38174136301$ |
$28$ |
[28,0] |
$2^{28}\cdot 3^{14}\cdot 5^{14}\cdot 7^{50}$ |
$4$ |
$250.137766729$ |
$250.1377667287264$ |
|
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$27$ |
|
| 28.0.140...000.9 |
$x^{28} - 63 x^{26} - 84 x^{25} + 2380 x^{24} + 4732 x^{23} - 30723 x^{22} - 59020 x^{21} + 570696 x^{20} + 1541400 x^{19} + 5673591 x^{18} + 14516712 x^{17} + 85603441 x^{16} + 322292544 x^{15} + 2603947215 x^{14} + 6102739090 x^{13} + 35479016965 x^{12} + 75661053454 x^{11} + 418226513334 x^{10} + 793022363196 x^{9} + 4860578955694 x^{8} + 6627243661874 x^{7} + 42133555649612 x^{6} + 39664231935678 x^{5} + 229064854367181 x^{4} + 142178233603532 x^{3} + 684661360983656 x^{2} + 216749308430172 x + 852237526289269$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 5^{14}\cdot 7^{50}$ |
$4$ |
$250.137766729$ |
$250.1377667287264$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.0.161...000.3 |
$x^{28} + 84 x^{26} + 3185 x^{24} - 2520 x^{23} + 65394 x^{22} - 112980 x^{21} + 904484 x^{20} - 2294600 x^{19} + 8407280 x^{18} - 26234880 x^{17} + 63970431 x^{16} - 149885680 x^{15} + 269058456 x^{14} - 494725560 x^{13} + 540614186 x^{12} + 2709519960 x^{11} - 4937302622 x^{10} - 6024181660 x^{9} - 22348309172 x^{8} + 80345603360 x^{7} + 223289215492 x^{6} - 693152623940 x^{5} - 277355224811 x^{4} + 1982896044080 x^{3} - 608139540288 x^{2} - 2309497876000 x + 1757965230481$ |
$28$ |
[0,14] |
$2^{56}\cdot 5^{14}\cdot 7^{48}$ |
$3$ |
$251.353241684$ |
$251.35324168373032$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$4$ |
$13$ |
|
| 28.0.116...000.2 |
$x^{28} - 14 x^{27} + 275 x^{26} - 2756 x^{25} + 29916 x^{24} - 229382 x^{23} + 1750083 x^{22} - 10642082 x^{21} + 62069762 x^{20} - 305345572 x^{19} + 1413385847 x^{18} - 5680312658 x^{17} + 21218180051 x^{16} - 69820862118 x^{15} + 211394010761 x^{14} - 566882219574 x^{13} + 1383823541193 x^{12} - 2986908092942 x^{11} + 5789651003798 x^{10} - 9834055200120 x^{9} + 14711201056506 x^{8} - 18926069443356 x^{7} + 20801034514026 x^{6} - 18980503496598 x^{5} + 14054078163801 x^{4} - 8066098698956 x^{3} + 3412158048080 x^{2} - 949701207972 x + 140493168001$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 7^{14}\cdot 29^{26}$ |
$4$ |
$269.777059019$ |
$269.77705901914624$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.28.116...000.4 |
$x^{28} - 2 x^{27} - 515 x^{26} + 960 x^{25} + 121307 x^{24} - 209294 x^{23} - 17313702 x^{22} + 27425594 x^{21} + 1672041331 x^{20} - 2408711512 x^{19} - 115530143560 x^{18} + 149654264800 x^{17} + 5887463485831 x^{16} - 6764015331942 x^{15} - 224716036989004 x^{14} + 225088302317118 x^{13} + 6453573377180529 x^{12} - 5513031509338888 x^{11} - 138742595068144381 x^{10} + 98132468697441162 x^{9} + 2197612256573261599 x^{8} - 1233713478639049928 x^{7} - 24866761479114903026 x^{6} + 10372896940553764652 x^{5} + 190012229435817451607 x^{4} - 52279554847082701194 x^{3} - 877681198814880856067 x^{2} + 119302346242175349624 x + 1849186366753717919201$ |
$28$ |
[28,0] |
$2^{28}\cdot 5^{14}\cdot 7^{14}\cdot 29^{26}$ |
$4$ |
$269.777059019$ |
$269.77705901914624$ |
|
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$27$ |
|
| 28.0.116...000.8 |
$x^{28} - 21 x^{26} + 1343 x^{24} - 59011 x^{22} + 2332758 x^{20} - 67729146 x^{18} + 1575869078 x^{16} - 28987252103 x^{14} + 430595937122 x^{12} - 5100533631706 x^{10} + 47981136220056 x^{8} - 347485180692227 x^{6} + 1868276740193552 x^{4} - 6719535410008896 x^{2} + 13289863668552241$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 7^{14}\cdot 29^{26}$ |
$4$ |
$269.777059019$ |
$269.77705901914624$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$2$ |
$13$ |
|
| 28.0.116...000.9 |
$x^{28} - 495 x^{26} + 102898 x^{24} - 11778979 x^{22} + 818861064 x^{20} - 35941581308 x^{18} + 1005539414502 x^{16} - 17854804500471 x^{14} + 201252871693419 x^{12} - 1481721940360573 x^{10} + 7785910163051604 x^{8} - 29530154031345089 x^{6} + 121082399523491681 x^{4} - 219977803183641186 x^{2} + 226957616479674721$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 7^{14}\cdot 29^{26}$ |
$4$ |
$269.777059019$ |
$269.77705901914624$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
not computed |
$4$ |
$13$ |
|
