| 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 |
| 14.14.177...577.1 |
$x^{14} - 6 x^{13} + 3 x^{12} + 39 x^{11} - 51 x^{10} - 90 x^{9} + 150 x^{8} + 91 x^{7} - 175 x^{6} - 42 x^{5} + 89 x^{4} + 7 x^{3} - 18 x^{2} + 1$ |
$14$ |
[14,0] |
$1697\cdot 32354821^{2}$ |
$2$ |
$20.1159241299$ |
$234320.5736528485$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$13$ |
$23283.4969199$ |
| 14.14.102...189.1 |
$x^{14} - x^{13} - 13 x^{12} + 12 x^{11} + 66 x^{10} - 55 x^{9} - 165 x^{8} + 120 x^{7} + 210 x^{6} - 126 x^{5} - 126 x^{4} + 56 x^{3} + 28 x^{2} - 7 x - 1$ |
$14$ |
[14,0] |
$29^{13}$ |
$1$ |
$22.8003229258$ |
$22.800322925817756$ |
|
✓ |
✓ |
$C_{14}$ (as 14T1) |
trivial |
$2$ |
$13$ |
$59457.5169907$ |
| 14.14.191...125.1 |
$x^{14} - x^{13} - 21 x^{12} + 22 x^{11} + 145 x^{10} - 138 x^{9} - 433 x^{8} + 371 x^{7} + 560 x^{6} - 449 x^{5} - 244 x^{4} + 194 x^{3} + 4 x^{2} - 11 x + 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 13^{2}\cdot 1205753^{2}$ |
$3$ |
$23.843552362$ |
$8852.906020059176$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$13$ |
$113487.770911$ |
| 14.14.198...125.1 |
$x^{14} - 3 x^{13} - 10 x^{12} + 30 x^{11} + 37 x^{10} - 107 x^{9} - 63 x^{8} + 172 x^{7} + 46 x^{6} - 130 x^{5} - 7 x^{4} + 43 x^{3} - 4 x^{2} - 5 x + 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 89\cdot 2371\cdot 1204204411$ |
$4$ |
$23.900948104$ |
$35644775.95699046$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$13$ |
$85070.0274868$ |
| 14.14.212...353.1 |
$x^{14} - 2 x^{13} - 25 x^{12} + 69 x^{11} + 161 x^{10} - 632 x^{9} - 147 x^{8} + 2146 x^{7} - 1171 x^{6} - 2669 x^{5} + 2682 x^{4} + 667 x^{3} - 1466 x^{2} + 336 x + 49$ |
$14$ |
[14,0] |
$577^{7}$ |
$1$ |
$24.0208242989$ |
$24.020824298928627$ |
|
✓ |
? |
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$13$ |
$96508.8622478$ |
| 14.14.316...125.1 |
$x^{14} - x^{13} - 19 x^{12} + 14 x^{11} + 107 x^{10} - 53 x^{9} - 240 x^{8} + 87 x^{7} + 241 x^{6} - 66 x^{5} - 108 x^{4} + 22 x^{3} + 19 x^{2} - 2 x - 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 71^{2}\cdot 283583^{2}$ |
$3$ |
$24.7118235199$ |
$10033.541996722792$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$13$ |
$107255.821488$ |
| 14.14.457...625.1 |
$x^{14} - 2 x^{13} - 12 x^{12} + 21 x^{11} + 56 x^{10} - 84 x^{9} - 127 x^{8} + 161 x^{7} + 142 x^{6} - 153 x^{5} - 69 x^{4} + 67 x^{3} + 9 x^{2} - 10 x + 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 15749\cdot 37209795769$ |
$3$ |
$25.3708919476$ |
$54130262.95733196$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$13$ |
$145448.313155$ |
| 14.14.464...912.1 |
$x^{14} - 15 x^{12} + 83 x^{10} - 214 x^{8} + 278 x^{6} - 183 x^{4} + 58 x^{2} - 7$ |
$14$ |
[14,0] |
$2^{14}\cdot 7\cdot 71^{2}\cdot 283583^{2}$ |
$4$ |
$25.3988429677$ |
|
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$13$ |
$147896.595663$ |
| 14.14.501...424.1 |
$x^{14} - 13 x^{12} + 62 x^{10} - 136 x^{8} + 142 x^{6} - 68 x^{4} + 14 x^{2} - 1$ |
$14$ |
[14,0] |
$2^{14}\cdot 313^{2}\cdot 176713^{2}$ |
$3$ |
$25.5356028534$ |
|
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$13$ |
$140632.49583$ |
| 14.14.592...256.1 |
$x^{14} - 14 x^{12} + 74 x^{10} - 186 x^{8} + 234 x^{6} - 145 x^{4} + 41 x^{2} - 4$ |
$14$ |
[14,0] |
$2^{12}\cdot 3^{6}\cdot 61^{2}\cdot 103^{2}\cdot 709^{2}$ |
$5$ |
$25.8426305569$ |
$27891.98051621741$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$13$ |
$201948.639321$ |
| 14.14.103...344.1 |
$x^{14} - 17 x^{12} + 106 x^{10} - 304 x^{8} + 419 x^{6} - 259 x^{4} + 59 x^{2} - 1$ |
$14$ |
[14,0] |
$2^{18}\cdot 4457^{4}$ |
$2$ |
$26.8919425998$ |
$244.87957277930082$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$13$ |
$294346.140551$ |
| 14.14.152...728.1 |
$x^{14} - 18 x^{12} + 114 x^{10} - 320 x^{8} + 425 x^{6} - 266 x^{4} + 76 x^{2} - 8$ |
$14$ |
[14,0] |
$2^{19}\cdot 4129^{4}$ |
$2$ |
$27.6464419556$ |
$402.15885738070904$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$13$ |
$581975.493503$ |
| 14.14.155...125.1 |
$x^{14} - 7 x^{13} + 3 x^{12} + 72 x^{11} - 114 x^{10} - 223 x^{9} + 438 x^{8} + 377 x^{7} - 659 x^{6} - 448 x^{5} + 383 x^{4} + 290 x^{3} - 20 x^{2} - 31 x - 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 6679^{4}$ |
$2$ |
$27.6859672163$ |
$793.0355042500815$ |
|
|
? |
$A_7\times C_2$ (as 14T47) |
trivial |
$2$ |
$13$ |
$296155.532655$ |
| 14.14.275...424.1 |
$x^{14} - 17 x^{12} + 104 x^{10} - 296 x^{8} + 408 x^{6} - 252 x^{4} + 60 x^{2} - 4$ |
$14$ |
[14,0] |
$2^{26}\cdot 1423^{4}$ |
$2$ |
$28.8384153125$ |
$184.69828241304324$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$13$ |
$816769.452262$ |
| 14.14.519...992.1 |
$x^{14} - 17 x^{12} + 102 x^{10} - 273 x^{8} + 360 x^{6} - 236 x^{4} + 72 x^{2} - 8$ |
$14$ |
[14,0] |
$2^{21}\cdot 3967^{4}$ |
$2$ |
$30.1770686448$ |
$697.3148237776097$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$13$ |
$1029504.90426$ |
| 14.14.919...928.1 |
$x^{14} - 24 x^{12} + 219 x^{10} - 978 x^{8} + 2263 x^{6} - 2628 x^{4} + 1357 x^{2} - 242$ |
$14$ |
[14,0] |
$2^{31}\cdot 809^{4}$ |
$2$ |
$31.4346662517$ |
$170.46494509614888$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$2$ |
$13$ |
$2287951.21075$ |
| 14.14.919...928.2 |
$x^{14} - 20 x^{12} + 144 x^{10} - 466 x^{8} + 740 x^{6} - 568 x^{4} + 176 x^{2} - 8$ |
$14$ |
[14,0] |
$2^{31}\cdot 809^{4}$ |
$2$ |
$31.4346662517$ |
$170.46494509614888$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$2$ |
$13$ |
$2287951.21075$ |
| 14.14.106...969.1 |
$x^{14} - 4 x^{13} - 28 x^{12} + 91 x^{11} + 271 x^{10} - 620 x^{9} - 1144 x^{8} + 1365 x^{7} + 2396 x^{6} - 620 x^{5} - 1817 x^{4} - 337 x^{3} + 266 x^{2} + 70 x + 1$ |
$14$ |
[14,0] |
$1009^{7}$ |
$1$ |
$31.7647603485$ |
$31.76476034853718$ |
|
✓ |
? |
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$13$ |
$664881.724002$ |
| 14.14.171...000.1 |
$x^{14} - 27 x^{12} - 12 x^{11} + 248 x^{10} + 154 x^{9} - 1008 x^{8} - 698 x^{7} + 1858 x^{6} + 1328 x^{5} - 1406 x^{4} - 954 x^{3} + 317 x^{2} + 138 x - 28$ |
$14$ |
[14,0] |
$2^{12}\cdot 5^{3}\cdot 7607^{4}$ |
$3$ |
$32.8642038785$ |
$551.6158083303994$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$13$ |
$1691086.88297$ |
| 14.14.263...832.1 |
$x^{14} - 6 x^{13} - 5 x^{12} + 88 x^{11} - 80 x^{10} - 412 x^{9} + 638 x^{8} + 744 x^{7} - 1558 x^{6} - 496 x^{5} + 1504 x^{4} + 116 x^{3} - 491 x^{2} - 58 x - 1$ |
$14$ |
[14,0] |
$2^{21}\cdot 107881^{3}$ |
$2$ |
$33.8870060316$ |
$929.0037674842874$ |
|
|
|
$D_7 \wr C_2$ (as 14T20) |
trivial |
$2$ |
$13$ |
$4194838.84544$ |
| 14.14.288...125.1 |
$x^{14} - 3 x^{13} - 22 x^{12} + 67 x^{11} + 147 x^{10} - 474 x^{9} - 335 x^{8} + 1305 x^{7} + 304 x^{6} - 1649 x^{5} - 118 x^{4} + 948 x^{3} + 64 x^{2} - 193 x - 41$ |
$14$ |
[14,0] |
$5^{7}\cdot 577^{6}$ |
$2$ |
$34.1071997718$ |
$53.71219600798314$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$13$ |
$1484305.42906$ |
| 14.14.302...880.1 |
$x^{14} - 18 x^{12} + 108 x^{10} - 300 x^{8} + 421 x^{6} - 290 x^{4} + 82 x^{2} - 5$ |
$14$ |
[14,0] |
$2^{14}\cdot 5\cdot 577^{6}$ |
$3$ |
$34.222953511$ |
|
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$13$ |
$1542780.24056$ |
| 14.14.367...712.1 |
$x^{14} - 20 x^{12} + 136 x^{10} - 428 x^{8} + 684 x^{6} - 560 x^{4} + 220 x^{2} - 32$ |
$14$ |
[14,0] |
$2^{33}\cdot 809^{4}$ |
$2$ |
$34.7066853743$ |
|
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$13$ |
$5196556.71164$ |
| 14.14.400...736.1 |
$x^{14} - 16 x^{12} + 101 x^{10} - 319 x^{8} + 528 x^{6} - 438 x^{4} + 157 x^{2} - 16$ |
$14$ |
[14,0] |
$2^{12}\cdot 149^{4}\cdot 211^{4}$ |
$3$ |
$34.9153801173$ |
$3815.558346637999$ |
|
|
? |
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$13$ |
$3560088.03503$ |
| 14.14.423...232.1 |
$x^{14} - 22 x^{12} + 182 x^{10} - 736 x^{8} + 1564 x^{6} - 1740 x^{4} + 927 x^{2} - 175$ |
$14$ |
[14,0] |
$2^{14}\cdot 7\cdot 577^{6}$ |
$3$ |
$35.055422372$ |
|
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$13$ |
$2582732.27154$ |
| 14.14.558...797.1 |
$x^{14} - 5 x^{13} - 5 x^{12} + 55 x^{11} - 18 x^{10} - 232 x^{9} + 171 x^{8} + 461 x^{7} - 426 x^{6} - 414 x^{5} + 442 x^{4} + 112 x^{3} - 164 x^{2} + 18 x + 3$ |
$14$ |
[14,0] |
$3\cdot 53\cdot 647\cdot 7283^{2}\cdot 9049\cdot 113149$ |
$6$ |
$35.7576956677$ |
$875853584.3196949$ |
|
|
? |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$13$ |
$3217055.55782$ |
| 14.14.579...744.1 |
$x^{14} - 16 x^{12} + 89 x^{10} - 212 x^{8} + 236 x^{6} - 119 x^{4} + 23 x^{2} - 1$ |
$14$ |
[14,0] |
$2^{14}\cdot 29^{12}$ |
$2$ |
$35.852050036$ |
$60.29572070948864$ |
|
|
? |
$F_8$ (as 14T6) |
trivial |
$2$ |
$13$ |
$2102306.27651$ |
| 14.14.651...048.1 |
$x^{14} - 7 x^{13} + 4 x^{12} + 67 x^{11} - 121 x^{10} - 176 x^{9} + 509 x^{8} + 43 x^{7} - 749 x^{6} + 320 x^{5} + 325 x^{4} - 261 x^{3} + 38 x^{2} + 7 x - 1$ |
$14$ |
[14,0] |
$2^{12}\cdot 73^{8}\cdot 1973$ |
$3$ |
$36.1532921792$ |
$1405.414704942693$ |
|
|
? |
$C_2\wr C_7:C_3$ (as 14T44) |
trivial |
$2$ |
$13$ |
$2554485.78647$ |
| 14.14.660...000.1 |
$x^{14} - 2 x^{13} - 21 x^{12} + 38 x^{11} + 175 x^{10} - 278 x^{9} - 733 x^{8} + 974 x^{7} + 1599 x^{6} - 1640 x^{5} - 1661 x^{4} + 1150 x^{3} + 597 x^{2} - 258 x - 47$ |
$14$ |
[14,0] |
$2^{16}\cdot 5^{3}\cdot 73^{8}$ |
$3$ |
$36.188408785$ |
$100.05549633087136$ |
|
|
? |
$F_8:C_6$ (as 14T18) |
trivial |
$2$ |
$13$ |
$3521147.55218$ |
| 14.14.662...016.1 |
$x^{14} - 16 x^{12} + 97 x^{10} - 277 x^{8} + 379 x^{6} - 230 x^{4} + 51 x^{2} - 1$ |
$14$ |
[14,0] |
$2^{24}\cdot 4457^{4}$ |
$2$ |
$36.1938707253$ |
$361.644555686966$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$13$ |
$3816941.78892$ |
| 14.14.735...424.1 |
$x^{14} - 18 x^{12} + 114 x^{10} - 316 x^{8} + 415 x^{6} - 254 x^{4} + 64 x^{2} - 4$ |
$14$ |
[14,0] |
$2^{34}\cdot 809^{4}$ |
$2$ |
$36.4682800627$ |
$331.2242780158087$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$13$ |
$6499377.62971$ |
| 14.14.770...408.1 |
$x^{14} - 5 x^{13} - 14 x^{12} + 127 x^{11} - 165 x^{10} - 484 x^{9} + 1495 x^{8} - 691 x^{7} - 2185 x^{6} + 3510 x^{5} - 1891 x^{4} + 209 x^{3} + 120 x^{2} - 29 x + 1$ |
$14$ |
[14,0] |
$2^{12}\cdot 73^{8}\cdot 2333$ |
$3$ |
$36.588699148$ |
$1528.2637787128797$ |
|
|
? |
$C_2\wr C_7:C_3$ (as 14T44) |
trivial |
$2$ |
$13$ |
$2926879.34507$ |
| 14.14.880...568.1 |
$x^{14} - 20 x^{12} + 144 x^{10} - 484 x^{8} + 812 x^{6} - 664 x^{4} + 244 x^{2} - 32$ |
$14$ |
[14,0] |
$2^{31}\cdot 1423^{4}$ |
$2$ |
$36.93874232766388$ |
|
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$13$ |
$8326472.970410314$ |
| 14.14.131...601.1 |
$x^{14} - 3 x^{13} - 13 x^{12} + 39 x^{11} + 69 x^{10} - 197 x^{9} - 193 x^{8} + 487 x^{7} + 301 x^{6} - 609 x^{5} - 251 x^{4} + 357 x^{3} + 98 x^{2} - 74 x - 11$ |
$14$ |
[14,0] |
$13107708723619561567601$ |
$1$ |
$38.0034777726$ |
$114488902185.40643$ |
|
|
? |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$13$ |
$3544631.02879$ |
| 14.14.151...400.1 |
$x^{14} - 20 x^{12} + 128 x^{10} - 381 x^{8} + 588 x^{6} - 472 x^{4} + 180 x^{2} - 25$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{2}\cdot 577^{6}$ |
$3$ |
$38.3922810523$ |
$210.24501762716318$ |
|
|
? |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$13$ |
$4097938.89009$ |
| 14.14.151...400.2 |
$x^{14} - 24 x^{12} + 165 x^{10} - 515 x^{8} + 821 x^{6} - 664 x^{4} + 240 x^{2} - 25$ |
$14$ |
[14,0] |
$2^{14}\cdot 5^{2}\cdot 577^{6}$ |
$3$ |
$38.3922810523$ |
$210.24501762716318$ |
|
|
? |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$13$ |
$3521815.24668$ |
| 14.14.154...472.1 |
$x^{14} - 23 x^{12} + 189 x^{10} - 723 x^{8} + 1363 x^{6} - 1241 x^{4} + 511 x^{2} - 73$ |
$14$ |
[14,0] |
$2^{18}\cdot 73^{9}$ |
$2$ |
$38.4493476658$ |
$108.78455948029008$ |
|
|
? |
$F_8:C_6$ (as 14T18) |
trivial |
$2$ |
$13$ |
$6393971.60344$ |
| 14.14.196...216.1 |
$x^{14} - 6 x^{13} - 15 x^{12} + 104 x^{11} + 104 x^{10} - 598 x^{9} - 502 x^{8} + 1280 x^{7} + 1280 x^{6} - 672 x^{5} - 908 x^{4} - 8 x^{3} + 152 x^{2} + 8 x - 8$ |
$14$ |
[14,0] |
$2^{14}\cdot 4129^{5}$ |
$2$ |
$39.1203893156$ |
$144.25275061524383$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$13$ |
$8299795.7406$ |
| 14.14.196...216.2 |
$x^{14} - 30 x^{12} - 14 x^{11} + 261 x^{10} + 108 x^{9} - 890 x^{8} - 150 x^{7} + 1283 x^{6} - 78 x^{5} - 660 x^{4} + 76 x^{3} + 120 x^{2} - 12 x - 4$ |
$14$ |
[14,0] |
$2^{14}\cdot 4129^{5}$ |
$2$ |
$39.1203893156$ |
$144.25275061524383$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$13$ |
$8299795.7406$ |
| 14.14.232...336.1 |
$x^{14} - 33 x^{12} - 12 x^{11} + 347 x^{10} + 268 x^{9} - 1307 x^{8} - 1596 x^{7} + 1210 x^{6} + 2592 x^{5} + 962 x^{4} - 232 x^{3} - 174 x^{2} - 16 x + 2$ |
$14$ |
[14,0] |
$2^{26}\cdot 809^{5}$ |
$2$ |
$39.5921193213$ |
$202.71812556688843$ |
|
|
? |
$C_2^4.\GL(3,2)$ (as 14T42) |
trivial |
$2$ |
$13$ |
$8328939.47541$ |
| 14.14.267...997.1 |
$x^{14} - 22 x^{12} - 3 x^{11} + 162 x^{10} + 12 x^{9} - 485 x^{8} + 81 x^{7} + 591 x^{6} - 246 x^{5} - 219 x^{4} + 145 x^{3} - 10 x^{2} - 7 x + 1$ |
$14$ |
[14,0] |
$7^{8}\cdot 173^{7}$ |
$2$ |
$39.9886016139$ |
$48.13065200407494$ |
|
|
? |
$F_7$ (as 14T4) |
trivial |
$2$ |
$13$ |
$5466417.1943$ |
| 14.14.269...201.1 |
$x^{14} - 4 x^{13} - 36 x^{12} + 153 x^{11} + 406 x^{10} - 2005 x^{9} - 1624 x^{8} + 11863 x^{7} - 455 x^{6} - 32213 x^{5} + 16953 x^{4} + 32032 x^{3} - 27733 x^{2} - 102 x + 2601$ |
$14$ |
[14,0] |
$1601^{7}$ |
$1$ |
$40.0124980475$ |
$40.01249804748511$ |
|
✓ |
|
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$13$ |
$6511547.01728$ |
| 14.14.276...125.1 |
$x^{14} - 5 x^{13} - 22 x^{12} + 131 x^{11} + 90 x^{10} - 1019 x^{9} + 223 x^{8} + 3253 x^{7} - 1853 x^{6} - 4170 x^{5} + 2916 x^{4} + 1404 x^{3} - 781 x^{2} - 168 x + 41$ |
$14$ |
[14,0] |
$5^{7}\cdot 29^{12}$ |
$2$ |
$40.0838105066$ |
$40.0838105065768$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
trivial |
$2$ |
$13$ |
$4233583.6638$ |
| 14.14.330...000.1 |
$x^{14} - 4 x^{13} - 26 x^{12} + 54 x^{11} + 254 x^{10} - 244 x^{9} - 1166 x^{8} + 388 x^{7} + 2612 x^{6} - 66 x^{5} - 2796 x^{4} - 162 x^{3} + 1398 x^{2} + 52 x - 254$ |
$14$ |
[14,0] |
$2^{16}\cdot 5^{4}\cdot 73^{8}$ |
$3$ |
$40.5971845902$ |
$100.05549633087136$ |
|
|
? |
$F_8:C_3$ (as 14T11) |
trivial |
$2$ |
$13$ |
$9812995.52172$ |
| 14.14.525...921.1 |
$x^{14} - 4 x^{13} - 38 x^{12} + 169 x^{11} + 383 x^{10} - 2243 x^{9} - 473 x^{8} + 11399 x^{7} - 7862 x^{6} - 18489 x^{5} + 22026 x^{4} + 3042 x^{3} - 9774 x^{2} + 1215 x + 729$ |
$14$ |
[14,0] |
$3^{7}\cdot 587^{7}$ |
$2$ |
$41.9642705167$ |
$41.96427051671457$ |
|
✓ |
|
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$13$ |
$56381183.724$ |
| 14.14.541...984.1 |
$x^{14} - 22 x^{12} + 188 x^{10} - 780 x^{8} + 1584 x^{6} - 1352 x^{4} + 288 x^{2} - 16$ |
$14$ |
[14,0] |
$2^{26}\cdot 73^{8}$ |
$2$ |
$42.0544179266$ |
$106.42494712065351$ |
|
|
? |
$F_8:C_3$ (as 14T11) |
trivial |
$2$ |
$13$ |
$10385403.462$ |
| 14.14.631...384.1 |
$x^{14} - 23 x^{12} + 162 x^{10} - 452 x^{8} + 535 x^{6} - 276 x^{4} + 53 x^{2} - 1$ |
$14$ |
[14,0] |
$2^{14}\cdot 3^{16}\cdot 547^{4}$ |
$3$ |
$42.5200261425$ |
|
|
|
? |
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$13$ |
$11351814.0966$ |
| 14.14.763...125.1 |
$x^{14} - 3 x^{13} - 22 x^{12} + 65 x^{11} + 160 x^{10} - 475 x^{9} - 423 x^{8} + 1351 x^{7} + 329 x^{6} - 1444 x^{5} - 76 x^{4} + 608 x^{3} - 20 x^{2} - 81 x + 11$ |
$14$ |
[14,0] |
$5^{7}\cdot 149^{4}\cdot 211^{4}$ |
$3$ |
$43.099880506$ |
$2227.3962524896715$ |
|
|
|
$A_7\times C_2$ (as 14T47) |
trivial |
$2$ |
$13$ |
$13136792.584$ |
| 14.14.773...528.1 |
$x^{14} - 4 x^{13} - 24 x^{12} + 96 x^{11} + 183 x^{10} - 772 x^{9} - 458 x^{8} + 2486 x^{7} + 275 x^{6} - 3370 x^{5} + 60 x^{4} + 1886 x^{3} + x^{2} - 310 x - 25$ |
$14$ |
[14,0] |
$2^{21}\cdot 577^{6}$ |
$2$ |
$43.1425743557$ |
$67.94115100585212$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$13$ |
$9330895.34512$ |
| 14.14.959...801.1 |
$x^{14} - x^{13} - 28 x^{12} + 19 x^{11} + 277 x^{10} - 124 x^{9} - 1186 x^{8} + 395 x^{7} + 2198 x^{6} - 662 x^{5} - 1425 x^{4} + 457 x^{3} + 170 x^{2} - 35 x - 7$ |
$14$ |
[14,0] |
$7^{4}\cdot 43^{12}$ |
$2$ |
$43.8099141293$ |
$66.47599386519646$ |
|
|
? |
$F_8$ (as 14T6) |
trivial |
$2$ |
$13$ |
$14678752.6032$ |
