| 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 |
| 14.4.250058750499647.1 |
$x^{14} - 2 x^{13} + x^{12} - x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} + 9 x^{6} - 4 x^{5} + x^{4} - x^{3} + x^{2} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,47\cdot 107^{2}\cdot 21557^{2}$ |
$3$ |
$10.676565665$ |
$10412.019640780552$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$31.5102502485$ |
| 14.4.270118421833507.1 |
$x^{14} - x^{13} - 3 x^{12} - x^{11} + x^{10} + 2 x^{8} + 7 x^{7} + 3 x^{6} + 4 x^{5} + 9 x^{4} + 7 x^{3} + x^{2} + 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 67\cdot 109^{4}$ |
$3$ |
$10.7355747516$ |
$308.1217291915648$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$33.079338429$ |
| 14.4.297261105546875.1 |
$x^{14} - 3 x^{12} - x^{11} + 5 x^{10} + 3 x^{9} - 6 x^{8} - 6 x^{7} + 3 x^{6} + 7 x^{5} - 4 x^{3} - 2 x^{2} + x + 1$ |
$14$ |
[4,5] |
$-\,5^{7}\cdot 89\cdot 971\cdot 44029$ |
$4$ |
$10.8092504055$ |
$137930.09372504608$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$8$ |
$34.9413880804$ |
| 14.4.334624313614643.1 |
$x^{14} - x^{13} - 4 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 2 x^{8} - 12 x^{7} + x^{5} + 2 x^{4} + 6 x^{3} - 3 x^{2} + x - 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 83\cdot 109^{4}$ |
$3$ |
$10.9010515249$ |
$342.94460194031336$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$37.8345982696$ |
| 14.4.411650990546875.1 |
$x^{14} - 3 x^{12} - 2 x^{11} + 5 x^{10} + 4 x^{9} - 6 x^{8} - 7 x^{7} + 7 x^{6} + 9 x^{5} - 4 x^{4} - 6 x^{3} + 2 x^{2} + 2 x - 1$ |
$14$ |
[4,5] |
$-\,5^{7}\cdot 24851\cdot 212029$ |
$3$ |
$11.0635611432$ |
$162313.47262319294$ |
|
|
? |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$8$ |
$42.0905477867$ |
| 14.4.498897726810659.1 |
$x^{14} - 2 x^{13} + 3 x^{11} - 7 x^{10} + x^{9} + 14 x^{8} - 2 x^{7} - 13 x^{6} + 2 x^{5} + 4 x^{4} - 4 x^{3} + 3 x + 1$ |
$14$ |
[4,5] |
$-\,11^{3}\cdot 71^{2}\cdot 8623^{2}$ |
$3$ |
$11.2165156356$ |
$2595.103658815963$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$47.3515916708$ |
| 14.4.569282687307707.1 |
$x^{14} - 2 x^{13} + x^{12} + 6 x^{11} - 14 x^{10} + 15 x^{9} - 4 x^{8} - 17 x^{7} + 25 x^{6} - 19 x^{5} + 6 x^{4} + 4 x^{3} - x^{2} - x - 1$ |
$14$ |
[4,5] |
$-\,107^{3}\cdot 21557^{2}$ |
$2$ |
$11.3227520826$ |
$4884.6336180096205$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$50.817635446$ |
| 14.4.673916269391159.1 |
$x^{14} - 3 x^{13} + 4 x^{12} - x^{11} - 7 x^{10} + 13 x^{9} - 10 x^{8} - 5 x^{7} + 15 x^{6} - 10 x^{5} - 2 x^{4} + 7 x^{3} - 2 x^{2} + 1$ |
$14$ |
[4,5] |
$-\,23^{2}\cdot 29^{2}\cdot 31^{2}\cdot 71\cdot 149^{2}$ |
$5$ |
$11.460040136$ |
$14789.928431199389$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$58.9923614819$ |
| 14.4.1157074433824127.1 |
$x^{14} - 2 x^{13} - x^{12} + 7 x^{11} - 8 x^{10} + 6 x^{9} - 3 x^{8} - 9 x^{7} + 15 x^{6} - 9 x^{5} + 5 x^{4} - 2 x^{3} - 2 x^{2} + 1$ |
$14$ |
[4,5] |
$-\,7\cdot 13^{4}\cdot 41\cdot 109^{4}$ |
$4$ |
$11.9111687749$ |
$637.7138856885587$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$83.2205360651$ |
| 14.4.1237706798550547.1 |
$x^{14} - 3 x^{13} + 3 x^{12} + 4 x^{11} - 14 x^{10} + 16 x^{9} - 5 x^{8} - 6 x^{7} + 12 x^{6} - 16 x^{5} + 17 x^{4} - 11 x^{3} + 2 x^{2} + 2 x - 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 109^{4}\cdot 307$ |
$3$ |
$11.9686213341$ |
$659.5597016191938$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$83.4257736319$ |
| 14.4.1237706798550547.2 |
$x^{14} - 4 x^{13} + 9 x^{12} - 12 x^{11} + x^{10} + 23 x^{9} - 41 x^{8} + 46 x^{7} - 43 x^{6} + 36 x^{5} - 25 x^{4} + 11 x^{3} - 6 x^{2} + 4 x - 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 109^{4}\cdot 307$ |
$3$ |
$11.9686213341$ |
$659.5597016191938$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$84.7144798087$ |
| 14.4.1524052425039147.1 |
$x^{14} - 6 x^{13} + 20 x^{12} - 46 x^{11} + 79 x^{10} - 108 x^{9} + 113 x^{8} - 92 x^{7} + 46 x^{6} - 5 x^{5} - 21 x^{4} + 19 x^{3} - 10 x^{2} + 1$ |
$14$ |
[4,5] |
$-\,3^{3}\cdot 2741^{4}$ |
$2$ |
$12.1478660175$ |
$90.68075870878012$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$8$ |
$121.507606686$ |
| 14.4.1544109784510943.1 |
$x^{14} - 2 x^{13} - 2 x^{12} + 6 x^{11} - x^{10} - 3 x^{9} - 2 x^{7} + 10 x^{6} - 2 x^{5} - 11 x^{4} + 4 x^{3} + 4 x^{2} - 2 x - 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 109^{4}\cdot 383$ |
$3$ |
$12.1592162928$ |
$736.6892153411776$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$90.0508384965$ |
| 14.4.1689248041018499.1 |
$x^{14} - 7 x^{13} + 22 x^{12} - 41 x^{11} + 51 x^{10} - 46 x^{9} + 29 x^{8} - 5 x^{7} - 17 x^{6} + 26 x^{5} - 23 x^{4} + 15 x^{3} - 7 x^{2} + 2 x + 1$ |
$14$ |
[4,5] |
$-\,13^{4}\cdot 109^{4}\cdot 419$ |
$3$ |
$12.2374910567$ |
$770.5342302584617$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$99.3342735188$ |
| 14.4.2837756470349143.1 |
$x^{14} - x^{13} + x^{12} - x^{11} - x^{10} - 3 x^{8} + x^{7} - 3 x^{6} - x^{4} - x^{3} + x^{2} - x + 1$ |
$14$ |
[4,5] |
$-\,7\cdot 71^{2}\cdot 283583^{2}$ |
$3$ |
$12.6994214839$ |
$11871.846991938533$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$138.726849555$ |
| 14.4.3222197555141171.1 |
$x^{14} - 7 x^{13} + 22 x^{12} - 41 x^{11} + 46 x^{10} - 21 x^{9} - 25 x^{8} + 61 x^{7} - 63 x^{6} + 38 x^{5} - 9 x^{4} - 6 x^{3} + 9 x^{2} - 5 x + 1$ |
$14$ |
[4,5] |
$-\,17^{4}\cdot 131^{5}$ |
$2$ |
$12.8151931004$ |
$239.6719487328181$ |
|
|
? |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$8$ |
$135.312709358$ |
| 14.4.3808955502493696.1 |
$x^{14} - 2 x^{13} + x^{12} + 8 x^{11} - 16 x^{10} + 10 x^{9} + 18 x^{8} - 32 x^{7} + 18 x^{6} + 10 x^{5} - 16 x^{4} + 8 x^{3} + x^{2} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,2^{16}\cdot 491^{4}$ |
$2$ |
$12.969245375$ |
$66.4005340773643$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$8$ |
$303.97833566$ |
| 14.4.7488261696523347.1 |
$x^{14} - x^{10} - x^{8} - x^{7} - x^{6} - x^{4} + 1$ |
$14$ |
[4,5] |
$-\,3^{3}\cdot 16653619^{2}$ |
$2$ |
$13.6108221164$ |
$9302.405211217323$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$8$ |
$290.172352012$ |
| 14.4.7651638724807467.1 |
$x^{14} - x^{13} - 5 x^{12} - 2 x^{11} + 8 x^{10} + 7 x^{9} - 3 x^{8} - 9 x^{7} - 12 x^{6} - 11 x^{5} + 8 x^{4} + 16 x^{3} + 5 x^{2} - 2 x - 1$ |
$14$ |
[4,5] |
$-\,3^{13}\cdot 13^{2}\cdot 73^{4}$ |
$3$ |
$13.6318214716$ |
$289.63785703021404$ |
|
|
? |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$8$ |
$325.982887322$ |
| 14.4.922101103923347456.1 |
$x^{14} - 2 x^{11} - 10 x^{10} - 4 x^{9} - 6 x^{8} + 2 x^{7} + 15 x^{6} + 12 x^{5} + 16 x^{4} + 10 x^{3} + 4 x^{2} + 2 x - 1$ |
$14$ |
[4,5] |
$-\,2^{14}\cdot 56280584956259$ |
$2$ |
$19.1954574926$ |
|
|
|
? |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$8$ |
$4299.69142191$ |
| 14.4.129...115.1 |
$x^{14} - x^{13} - 3 x^{12} + 7 x^{11} - 9 x^{10} + x^{9} + 8 x^{8} - 15 x^{7} + 8 x^{6} + x^{5} - 9 x^{4} + 7 x^{3} - 3 x^{2} - x + 1$ |
$14$ |
[4,5] |
$-\,5\cdot 7\cdot 577^{6}$ |
$3$ |
$19.6630841298$ |
$142.10911300827965$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$8$ |
$3481.95645948$ |
| 14.4.335...632.1 |
$x^{14} - 4 x^{13} + 10 x^{11} + 16 x^{10} - 28 x^{9} - 76 x^{8} + 38 x^{7} + 164 x^{6} + 48 x^{5} - 188 x^{4} - 244 x^{3} + 150 x^{2} + 124 x - 34$ |
$14$ |
[4,5] |
$-\,2^{20}\cdot 317^{5}$ |
$2$ |
$21.0512700131$ |
$47.92614331002722$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$9005.22781695$ |
| 14.4.335...632.2 |
$x^{14} - 4 x^{13} - 2 x^{12} + 22 x^{11} - 8 x^{10} - 66 x^{9} + 150 x^{8} - 190 x^{7} + 138 x^{6} - 40 x^{5} - 22 x^{4} + 52 x^{3} - 44 x^{2} + 16 x - 2$ |
$14$ |
[4,5] |
$-\,2^{20}\cdot 317^{5}$ |
$2$ |
$21.0512700131$ |
$47.92614331002722$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$9005.22781695$ |
| 14.4.370...103.1 |
$x^{14} - 3 x^{13} - 9 x^{12} + 31 x^{11} + 27 x^{10} - 119 x^{9} - 27 x^{8} + 211 x^{7} - 7 x^{6} - 175 x^{5} + 24 x^{4} + 59 x^{3} - 10 x^{2} - 5 x + 3$ |
$14$ |
[4,5] |
$-\,3704349534869766103$ |
$1$ |
$21.2000345403$ |
$1924668681.8436482$ |
|
|
? |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$8$ |
$11913.6860087$ |
| 14.4.390...364.1 |
$x^{14} - 2 x^{13} - 2 x^{12} + x^{11} - 5 x^{10} - 3 x^{9} - 4 x^{8} - 4 x^{7} - 4 x^{6} - 3 x^{5} - 5 x^{4} + x^{3} - 2 x^{2} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,2^{2}\cdot 149^{4}\cdot 211^{4}$ |
$3$ |
$21.2811625523$ |
$1992.2437733580762$ |
|
|
|
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$8$ |
$36664.5333907$ |
| 14.4.390...364.2 |
$x^{14} - 2 x^{13} - x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 2 x^{4} - x^{3} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,2^{2}\cdot 149^{4}\cdot 211^{4}$ |
$3$ |
$21.2811625523$ |
$1992.2437733580762$ |
|
|
? |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$8$ |
$13480.7995717$ |
| 14.4.405...664.1 |
$x^{14} - 2 x^{13} + 5 x^{12} - 20 x^{11} + 23 x^{10} - 22 x^{9} + 29 x^{8} + 50 x^{7} - 153 x^{6} + 100 x^{5} + 49 x^{4} - 44 x^{3} + 53 x^{2} - 30 x + 14$ |
$14$ |
[4,5] |
$-\,2^{14}\cdot 3967^{4}$ |
$2$ |
$21.3384098751$ |
$211.85249966774654$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$17481.1798237$ |
| 14.4.645...575.1 |
$x^{14} - 5 x^{13} + 9 x^{12} - 5 x^{11} - 20 x^{10} + 55 x^{9} - 66 x^{8} + 65 x^{7} - 2 x^{6} + 16 x^{5} + 54 x^{4} + 8 x^{3} + 25 x^{2} - 6 x - 1$ |
$14$ |
[4,5] |
$-\,5^{2}\cdot 7\cdot 577^{6}$ |
$3$ |
$22.0586061347$ |
$142.10911300827965$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$8$ |
$8505.32096967$ |
| 14.4.710...912.1 |
$x^{14} - 2 x^{13} - 6 x^{12} - 8 x^{11} - 10 x^{10} + 4 x^{9} + 4 x^{8} + 18 x^{7} + 4 x^{6} + 4 x^{5} - 10 x^{4} - 8 x^{3} - 6 x^{2} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,2^{12}\cdot 7\cdot 3967^{4}$ |
$3$ |
$22.2086374062$ |
$471.3300329917456$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$8$ |
$33305.5237228$ |
| 14.4.132...743.1 |
$x^{14} - 2 x^{13} + x^{12} + 17 x^{11} - 48 x^{10} + 56 x^{9} + 15 x^{8} - 256 x^{7} + 331 x^{6} - 302 x^{5} - 332 x^{4} + 488 x^{3} - 417 x^{2} - 144 x + 353$ |
$14$ |
[4,5] |
$-\,23^{3}\cdot 239^{3}\cdot 431^{3}$ |
$3$ |
$23.2266383959$ |
$60388.22372501204$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
trivial |
$2$ |
$8$ |
$7817.03714643$ |
| 14.4.179...719.1 |
$x^{14} - 6 x^{13} + 24 x^{12} - 62 x^{11} + 103 x^{10} - 80 x^{9} - 122 x^{8} + 280 x^{7} - 148 x^{6} - 546 x^{5} + 819 x^{4} - 146 x^{3} - 595 x^{2} + 418 x + 299$ |
$14$ |
[4,5] |
$-\,61^{3}\cdot 42899^{3}$ |
$2$ |
$23.7267322483$ |
$65062.800507367334$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
trivial |
$2$ |
$8$ |
$12732.6472741$ |
| 14.4.254...363.1 |
$x^{14} - 3 x^{13} - 2 x^{12} + x^{11} + 30 x^{10} + 45 x^{9} - 200 x^{8} - 45 x^{7} + 257 x^{6} - 121 x^{5} + 614 x^{4} + 323 x^{3} - 1565 x^{2} - 559 x + 523$ |
$14$ |
[4,5] |
$-\,7^{3}\cdot 13^{6}\cdot 109^{5}$ |
$3$ |
$24.3303889493$ |
$189.11230288198414$ |
|
|
? |
$C_2^4.\GL(3,2)$ (as 14T42) |
trivial |
$2$ |
$8$ |
$11131.4204258$ |
| 14.4.529...123.1 |
$x^{14} - 7 x^{13} + 14 x^{12} + 7 x^{11} - 49 x^{10} + 14 x^{9} + 168 x^{8} - 393 x^{7} + 420 x^{6} - 203 x^{5} - 91 x^{4} + 224 x^{3} - 203 x^{2} + 98 x - 7$ |
$14$ |
[4,5] |
$-\,3^{13}\cdot 7^{16}$ |
$2$ |
$25.637017305340915$ |
$40.08236355961002$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$44170.17753740919$ |
| 14.4.619...408.1 |
$x^{14} - 7 x^{13} + 30 x^{12} - 89 x^{11} + 199 x^{10} - 346 x^{9} + 477 x^{8} - 525 x^{7} + 469 x^{6} - 344 x^{5} + 217 x^{4} - 119 x^{3} + 48 x^{2} - 11 x + 1$ |
$14$ |
[4,5] |
$-\,2^{12}\cdot 3^{5}\cdot 53^{8}$ |
$3$ |
$25.92547102608315$ |
$44.26939474722475$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$50557.30370830211$ |
| 14.4.619...408.2 |
$x^{14} - 7 x^{13} + 28 x^{12} - 77 x^{11} + 155 x^{10} - 236 x^{9} + 313 x^{8} - 397 x^{7} + 427 x^{6} - 336 x^{5} + 267 x^{4} - 237 x^{3} + 124 x^{2} - 25 x + 1$ |
$14$ |
[4,5] |
$-\,2^{12}\cdot 3^{5}\cdot 53^{8}$ |
$3$ |
$25.92547102608315$ |
$44.26939474722475$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$50557.30370830211$ |
| 14.4.145...144.1 |
$x^{14} - x^{12} - 2 x^{11} - 3 x^{10} - 2 x^{9} - 3 x^{8} - 2 x^{7} - 3 x^{6} - 2 x^{5} - 3 x^{4} - 2 x^{3} - x^{2} + 1$ |
$14$ |
[4,5] |
$-\,2^{14}\cdot 11\cdot 73^{8}$ |
$3$ |
$27.5531405473$ |
|
|
|
✓ |
$C_2\wr C_7:C_3$ (as 14T44) |
trivial |
$2$ |
$8$ |
$71790.485415$ |
| 14.4.162...367.1 |
$x^{14} - 6 x^{13} + 9 x^{12} + 25 x^{11} - 80 x^{10} + 104 x^{9} - 425 x^{8} + 1261 x^{7} + 5 x^{6} - 4607 x^{5} + 6299 x^{4} + 754 x^{3} - 5512 x^{2} + 702 x + 1453$ |
$14$ |
[4,5] |
$-\,3^{7}\cdot 13^{6}\cdot 109^{5}$ |
$3$ |
$27.772644937$ |
$123.80306325772969$ |
|
|
? |
$C_2^4.\GL(3,2)$ (as 14T42) |
trivial |
$2$ |
$8$ |
$49614.4197132$ |
| 14.4.303...392.1 |
$x^{14} - 2 x^{13} - 7 x^{12} + 32 x^{11} - 83 x^{10} + 146 x^{9} - 199 x^{8} + 222 x^{7} - 199 x^{6} + 146 x^{5} - 83 x^{4} + 32 x^{3} - 7 x^{2} - 2 x + 1$ |
$14$ |
[4,5] |
$-\,2^{14}\cdot 23\cdot 73^{8}$ |
$3$ |
$29.0437165562$ |
|
|
|
? |
$C_2\wr C_7:C_3$ (as 14T44) |
trivial |
$2$ |
$8$ |
$151032.821175$ |
| 14.4.463...867.1 |
$x^{14} - 9 x^{12} - 6 x^{11} + 36 x^{10} + 32 x^{9} - 34 x^{8} - 54 x^{7} - 116 x^{6} - 143 x^{5} + 192 x^{4} + 289 x^{3} + 125 x^{2} - 24 x - 21$ |
$14$ |
[4,5] |
$-\,3\cdot 7^{8}\cdot 173^{6}$ |
$3$ |
$29.9333877161$ |
$83.36473467247461$ |
|
|
? |
$C_2\wr F_7$ (as 14T48) |
trivial |
$2$ |
$8$ |
$688484.776641$ |
| 14.4.170...179.1 |
$x^{14} - 7 x^{13} + 28 x^{12} - 77 x^{11} + 136 x^{10} - 141 x^{9} + 5 x^{8} + 265 x^{7} - 464 x^{6} + 419 x^{5} - 140 x^{4} - 99 x^{3} + 153 x^{2} - 79 x + 18$ |
$14$ |
[4,5] |
$-\,7^{8}\cdot 11\cdot 173^{6}$ |
$3$ |
$32.8443728152$ |
$159.63131361268375$ |
|
|
? |
$C_2\wr F_7$ (as 14T48) |
trivial |
$2$ |
$8$ |
$1070462.31054$ |
| 14.4.167...344.1 |
$x^{14} - 4 x^{13} + 19 x^{12} - 30 x^{11} + 74 x^{10} - 180 x^{9} + 422 x^{8} - 418 x^{7} - 1198 x^{6} + 4720 x^{5} - 11626 x^{4} + 16794 x^{3} - 6181 x^{2} - 8990 x + 6319$ |
$14$ |
[4,5] |
$-\,2^{16}\cdot 797^{6}$ |
$2$ |
$38.68266783366515$ |
$84.59797881758502$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$8$ |
$831962.935116158$ |
| 14.4.167...344.2 |
$x^{14} - 4 x^{13} + 19 x^{12} - 30 x^{11} + 74 x^{10} - 180 x^{9} + 422 x^{8} - 418 x^{7} - 1198 x^{6} + 4720 x^{5} - 11626 x^{4} + 16794 x^{3} - 6181 x^{2} - 8990 x + 6319$ |
$14$ |
[4,5] |
$-\,2^{16}\cdot 797^{6}$ |
$2$ |
$38.68266783366515$ |
$84.59797881758502$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$8$ |
$831962.935116158$ |
| 14.4.177...003.1 |
$x^{14} - 3 x^{13} + 36 x^{12} - 47 x^{11} + 335 x^{10} + 217 x^{9} - 257 x^{8} + 4394 x^{7} - 12210 x^{6} + 5860 x^{5} - 45417 x^{4} + 9232 x^{3} - 36073 x^{2} + 144078 x + 175213$ |
$14$ |
[4,5] |
$-\,3^{7}\cdot 13^{6}\cdot 109^{6}$ |
$3$ |
$38.82824006018023$ |
$65.19969325081216$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$389544.5992650786$ |
| 14.4.177...003.2 |
$x^{14} - 3 x^{13} + 36 x^{12} - 47 x^{11} + 335 x^{10} + 217 x^{9} - 257 x^{8} + 4394 x^{7} - 12210 x^{6} + 5860 x^{5} - 45417 x^{4} + 9232 x^{3} - 36073 x^{2} + 144078 x + 175213$ |
$14$ |
[4,5] |
$-\,3^{7}\cdot 13^{6}\cdot 109^{6}$ |
$3$ |
$38.82824006018023$ |
$65.19969325081216$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$8$ |
$389544.5992650786$ |
| 14.4.532...951.1 |
$x^{14} - 7 x^{13} + 29 x^{12} - 83 x^{11} + 170 x^{10} - 256 x^{9} + 260 x^{8} - 131 x^{7} - 84 x^{6} + 248 x^{5} - 240 x^{4} + 121 x^{3} - 28 x + 17$ |
$14$ |
[4,5] |
$-\,29^{12}\cdot 41\cdot 3671$ |
$3$ |
$42.0059006767$ |
$6954.535347123474$ |
|
|
? |
$C_2 \wr C_7$ (as 14T29) |
$[2]$ |
$2$ |
$8$ |
$555176.477395$ |
| 14.4.802...991.1 |
$x^{14} - x^{13} - 6 x^{12} + 47 x^{11} - 53 x^{10} - 109 x^{9} + 388 x^{8} - 690 x^{7} - 332 x^{6} + 1141 x^{5} - 2421 x^{4} + 1566 x^{3} - 70 x^{2} + 516 x + 291$ |
$14$ |
[4,5] |
$-\,3\cdot 7^{8}\cdot 173^{7}$ |
$3$ |
$43.25300713896041$ |
$83.36473467247461$ |
|
|
? |
$C_2\wr F_7$ (as 14T48) |
$[2]$ |
$2$ |
$8$ |
$622759.6806653384$ |
| 14.4.985...648.1 |
$x^{14} + 18 x^{12} + 56 x^{10} - 166 x^{8} - 257 x^{6} - 22 x^{4} + 64 x^{2} + 17$ |
$14$ |
[4,5] |
$-\,2^{14}\cdot 17\cdot 29^{12}$ |
$3$ |
$43.8938022298$ |
$292.4589096608059$ |
|
|
? |
$C_2 \wr C_7$ (as 14T29) |
$[2]$ |
$2$ |
$8$ |
$577692.955453$ |
| 14.4.792...367.1 |
$x^{14} - x^{13} + 3187 x^{12} - 17747 x^{11} - 109151356 x^{10} + 92024377 x^{9} + 214767646363 x^{8} - 85358912493 x^{7} + 751617710792459 x^{6} - 995736497205889 x^{5} - 1704091077413424194 x^{4} + 10203648197269133362 x^{3} + 1848463912955628613895 x^{2} + 17889545098711588951270 x + 8617672614914843977019807$ |
$14$ |
[4,5] |
$-\,23^{5}\cdot 239^{7}\cdot 431^{7}$ |
$3$ |
$983.4877515872897$ |
$1539.2228558594106$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
not computed |
$2$ |
$8$ |
|
| 14.4.796...119.1 |
$x^{14} + 476359 x^{12} - 872572 x^{11} - 41018432565 x^{10} - 652758486207 x^{9} - 13927402722193641 x^{8} - 41675038475148105 x^{7} - 1457607059203952202706 x^{6} - 3350073694401853113994 x^{5} - 146287789207600301754291190 x^{4} - 460384938518900357193533307 x^{3} - 3825483888476483985901462398094 x^{2} - 3514585593158693828508707526401 x + 100179360855669033768629238572156913$ |
$14$ |
[4,5] |
$-\,1621^{7}\cdot 42979^{7}$ |
$2$ |
$8346.793336365768$ |
$8346.793336365768$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
not computed |
$2$ |
$8$ |
|
