| 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 |
| 14.2.68537510017457.1 |
$x^{14} - 4 x^{13} + 10 x^{12} - 15 x^{11} + 11 x^{10} + 6 x^{9} - 26 x^{8} + 35 x^{7} - 26 x^{6} + 6 x^{5} + 11 x^{4} - 15 x^{3} + 10 x^{2} - 4 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 17\cdot 109^{4}$ |
$3$ |
$9.73375911642$ |
$155.2063143045411$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$11.2548274629$ |
| 14.0.76600746490099.1 |
$x^{14} - 2 x^{13} + 6 x^{12} - 8 x^{11} + 16 x^{10} - 17 x^{9} + 24 x^{8} - 21 x^{7} + 24 x^{6} - 17 x^{5} + 16 x^{4} - 8 x^{3} + 6 x^{2} - 2 x + 1$ |
$14$ |
[0,7] |
$-\,13^{4}\cdot 19\cdot 109^{4}$ |
$3$ |
$9.811398801$ |
$164.0822964246905$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$9.51678072789$ |
| 14.2.245928712415581.1 |
$x^{14} - x^{13} + 4 x^{12} - x^{11} + 3 x^{10} + 3 x^{9} - 4 x^{8} + 9 x^{7} - 16 x^{6} + 14 x^{5} - 21 x^{4} + 10 x^{3} - 9 x^{2} + 2 x - 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 61\cdot 109^{4}$ |
$3$ |
$10.6638725375$ |
$294.0017006753532$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$26.4300628611$ |
| 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 |
$2$ |
$8$ |
$33.079338429$ |
| 14.0.318497840669359.1 |
$x^{14} - 4 x^{13} + 8 x^{12} - 10 x^{11} + 15 x^{10} - 28 x^{9} + 42 x^{8} - 41 x^{7} + 32 x^{6} - 31 x^{5} + 37 x^{4} - 35 x^{3} + 21 x^{2} - 7 x + 1$ |
$14$ |
[0,7] |
$-\,13^{4}\cdot 79\cdot 109^{4}$ |
$3$ |
$10.8626597908$ |
$334.57883973736296$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$22.560872956$ |
| 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 |
$2$ |
$8$ |
$37.8345982696$ |
| 14.2.391066968923137.1 |
$x^{14} - 4 x^{13} + 5 x^{12} + 4 x^{11} - 14 x^{10} + 5 x^{9} + 13 x^{8} - 9 x^{7} - 9 x^{6} + 8 x^{5} + 4 x^{4} - 5 x^{3} + x - 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 97\cdot 109^{4}$ |
$3$ |
$11.0230975946$ |
$370.7411495909242$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$35.8148412318$ |
| 14.2.552331698375977.1 |
$x^{14} - 4 x^{13} + 8 x^{12} - 10 x^{11} + 5 x^{10} + 3 x^{9} - 10 x^{8} + 7 x^{7} - x^{6} - 2 x^{5} + 5 x^{4} + x^{2} + 3 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 137$ |
$3$ |
$11.2983307295$ |
$440.6007262817437$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$43.5555878552$ |
| 14.2.729722900774101.1 |
$x^{14} - 3 x^{12} - x^{11} + 10 x^{10} - x^{9} - 10 x^{8} + 2 x^{7} + 10 x^{6} + 5 x^{5} - 4 x^{4} - 2 x^{3} + 3 x^{2} + 2 x - 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 181$ |
$3$ |
$11.5253504852$ |
$506.43558326800064$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$44.6471365658$ |
| 14.2.788759961620480.1 |
$x^{14} - x^{13} - x^{11} + x^{10} + 2 x^{9} - 3 x^{8} + 3 x^{7} - 3 x^{6} + 2 x^{5} + x^{4} - x^{3} - x + 1$ |
$14$ |
[2,6] |
$2^{12}\cdot 5\cdot 443^{4}$ |
$3$ |
$11.5895744532$ |
$85.25357033126338$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$60.9500885385$ |
| 14.0.818418501973163.1 |
$x^{14} - x^{13} + x^{12} + x^{11} - 3 x^{10} + 7 x^{9} - 9 x^{8} + x^{7} + 13 x^{6} - 15 x^{5} + 4 x^{4} + 2 x^{3} - 2 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,7\cdot 13^{4}\cdot 29\cdot 109^{4}$ |
$4$ |
$11.6201713281$ |
$536.3310544803461$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$39.7279937779$ |
| 14.2.842608211391089.1 |
$x^{14} - 2 x^{13} - x^{12} + 3 x^{11} - 3 x^{10} + 4 x^{9} + x^{8} + 5 x^{7} + x^{6} + 4 x^{5} - 3 x^{4} + 3 x^{3} - x^{2} - 2 x + 1$ |
$14$ |
[2,6] |
$11\cdot 13^{4}\cdot 19\cdot 109^{4}$ |
$4$ |
$11.6443733196$ |
$544.1994119805717$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$49.4412723787$ |
| 14.2.890987630226941.1 |
$x^{14} - 2 x^{13} + 2 x^{12} - 6 x^{10} + x^{9} + 4 x^{8} - 13 x^{7} + 4 x^{6} + x^{5} - 6 x^{4} + 2 x^{2} - 2 x + 1$ |
$14$ |
[2,6] |
$13^{5}\cdot 17\cdot 109^{4}$ |
$3$ |
$11.6909008356$ |
$155.2063143045411$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$48.0066041005$ |
| 14.2.923240576117509.1 |
$x^{14} - 5 x^{13} + 11 x^{12} - 16 x^{11} + 18 x^{10} - 21 x^{9} + 27 x^{8} - 31 x^{7} + 27 x^{6} - 21 x^{5} + 18 x^{4} - 16 x^{3} + 11 x^{2} - 5 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 229$ |
$3$ |
$11.7206328839$ |
$569.642870577698$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$57.0196393421$ |
| 14.2.923240576117509.2 |
$x^{14} - x^{13} + 3 x^{12} - 3 x^{11} + 3 x^{10} - 10 x^{9} + 16 x^{8} - 27 x^{7} + 33 x^{6} - 21 x^{5} + 10 x^{4} + 3 x^{3} - 10 x^{2} + 3 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 229$ |
$3$ |
$11.7206328839$ |
$569.642870577698$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$53.6191063514$ |
| 14.0.951316069511168.1 |
$x^{14} - x^{13} + x^{12} + 3 x^{11} - 3 x^{10} - x^{9} + 5 x^{8} - 5 x^{7} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 23\cdot 317^{4}$ |
$3$ |
$11.7457389722$ |
$154.67469192665862$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$114.877857314$ |
| 14.2.959588563913537.1 |
$x^{14} - 6 x^{13} + 15 x^{12} - 18 x^{11} - x^{10} + 52 x^{9} - 125 x^{8} + 189 x^{7} - 217 x^{6} + 198 x^{5} - 146 x^{4} + 83 x^{3} - 33 x^{2} + 8 x - 1$ |
$14$ |
[2,6] |
$17\cdot 2741^{4}$ |
$2$ |
$11.7530053301$ |
$215.8633827215723$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$60.8997778777$ |
| 14.2.971619994953361.1 |
$x^{14} - 6 x^{13} + 15 x^{12} - 22 x^{11} + 26 x^{10} - 41 x^{9} + 81 x^{8} - 135 x^{7} + 173 x^{6} - 172 x^{5} + 130 x^{4} - 75 x^{3} + 32 x^{2} - 9 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 241$ |
$3$ |
$11.763470298$ |
$584.377446518943$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$61.4178551051$ |
| 14.0.1044189123207139.1 |
$x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 22 x^{10} - 29 x^{9} + 35 x^{8} - 37 x^{7} + 35 x^{6} - 29 x^{5} + 22 x^{4} - 14 x^{3} + 7 x^{2} - 3 x + 1$ |
$14$ |
[0,7] |
$-\,7\cdot 13^{4}\cdot 37\cdot 109^{4}$ |
$4$ |
$11.8241502684$ |
$605.8077252726314$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$42.6568965409$ |
| 14.0.1044189123207139.2 |
$x^{14} - x^{13} + 5 x^{12} - 5 x^{11} + 7 x^{10} - 3 x^{9} - 2 x^{8} + 3 x^{7} - 2 x^{6} - 3 x^{5} + 7 x^{4} - 5 x^{3} + 5 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,7\cdot 13^{4}\cdot 37\cdot 109^{4}$ |
$4$ |
$11.8241502684$ |
$605.8077252726314$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$41.1800485196$ |
| 14.0.1092568542042991.1 |
$x^{14} - 6 x^{13} + 16 x^{12} - 27 x^{11} + 36 x^{10} - 40 x^{9} + 37 x^{8} - 32 x^{7} + 20 x^{6} - 3 x^{5} + x^{4} - 4 x^{3} + x + 1$ |
$14$ |
[0,7] |
$-\,13^{4}\cdot 109^{4}\cdot 271$ |
$3$ |
$11.8624639758$ |
$619.6829834681602$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$35.5450250635$ |
| 14.2.1116758251460917.1 |
$x^{14} - 3 x^{13} + 5 x^{12} - 2 x^{11} - 5 x^{10} + 12 x^{9} - 3 x^{8} - 3 x^{7} + 11 x^{6} - 4 x^{4} - x^{3} - 3 x^{2} - 3 x - 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 277$ |
$3$ |
$11.8810336643$ |
$626.5053870478689$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$56.9116802426$ |
| 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 |
$2$ |
$8$ |
$84.7144798087$ |
| 14.2.1261896507968473.1 |
$x^{14} - 5 x^{13} + 12 x^{12} - 21 x^{11} + 29 x^{10} - 34 x^{9} + 36 x^{8} - 37 x^{7} + 36 x^{6} - 34 x^{5} + 29 x^{4} - 21 x^{3} + 12 x^{2} - 5 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 313$ |
$3$ |
$11.9851797754$ |
$665.9737232053529$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$65.3727183269$ |
| 14.2.1261896507968473.2 |
$x^{14} - 3 x^{13} + 7 x^{12} - 15 x^{11} + 25 x^{10} - 36 x^{9} + 45 x^{8} - 49 x^{7} + 45 x^{6} - 36 x^{5} + 25 x^{4} - 15 x^{3} + 7 x^{2} - 3 x + 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 313$ |
$3$ |
$11.9851797754$ |
$665.9737232053529$ |
|
|
✓ |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$67.5240593335$ |
| 14.2.1278022980913757.1 |
$x^{14} - 3 x^{13} + 8 x^{12} - 17 x^{11} + 29 x^{10} - 36 x^{9} + 38 x^{8} - 23 x^{7} - 3 x^{6} + 35 x^{5} - 46 x^{4} + 42 x^{3} - 21 x^{2} + 8 x - 1$ |
$14$ |
[2,6] |
$13^{4}\cdot 109^{4}\cdot 317$ |
$3$ |
$11.9960557646$ |
$670.2156369408282$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$71.6776654006$ |
| 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 |
$2$ |
$8$ |
$90.0508384965$ |
| 14.6.1616678912764721.1 |
$x^{14} - 4 x^{13} + 3 x^{12} + 4 x^{11} - 2 x^{10} - 2 x^{9} - 6 x^{8} + 2 x^{7} + x^{6} + 7 x^{5} + 9 x^{4} - 10 x^{3} - 6 x^{2} + 3 x + 1$ |
$14$ |
[6,4] |
$13^{4}\cdot 109^{4}\cdot 401$ |
$3$ |
$12.1991696106$ |
$753.8016980612341$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$124.900795328$ |
| 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 |
$2$ |
$8$ |
$99.3342735188$ |
| 14.6.8576086610989721.1 |
$x^{14} - 5 x^{13} + 8 x^{12} - 4 x^{11} - 9 x^{10} + 33 x^{9} - 38 x^{8} + 6 x^{7} + 29 x^{6} - 34 x^{5} + 10 x^{4} + 9 x^{3} - 12 x^{2} + 6 x - 1$ |
$14$ |
[6,4] |
$41\cdot 3803^{4}$ |
$2$ |
$13.7433334175$ |
$394.87086496727005$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$328.848475303$ |
| 14.6.359...488.1 |
$x^{14} - 2 x^{13} - 8 x^{12} + 22 x^{11} - 11 x^{10} - 13 x^{8} + 26 x^{7} - 13 x^{6} - 11 x^{4} + 22 x^{3} - 8 x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$2^{23}\cdot 809^{4}$ |
$2$ |
$21.1539616817$ |
$170.46494509614888$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$17505.5082711$ |
| 14.6.359...488.2 |
$x^{14} - 2 x^{13} - 3 x^{12} + 3 x^{10} + 10 x^{9} + 3 x^{8} + 8 x^{7} + 3 x^{6} + 10 x^{5} + 3 x^{4} - 3 x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$2^{23}\cdot 809^{4}$ |
$2$ |
$21.1539616817$ |
$170.46494509614888$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$49997.3109674$ |
| 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 |
$2$ |
$8$ |
$17481.1798237$ |
| 14.8.476...304.1 |
$x^{14} - 4 x^{13} - 2 x^{12} + 8 x^{11} + x^{10} + 18 x^{9} - 25 x^{8} + 4 x^{7} - 25 x^{6} + 18 x^{5} + x^{4} + 8 x^{3} - 2 x^{2} - 4 x + 1$ |
$14$ |
[8,3] |
$-\,2^{14}\cdot 4129^{4}$ |
$2$ |
$21.5838310887$ |
$192.5543205948784$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$10$ |
$39836.0815625$ |
| 14.8.476...304.2 |
$x^{14} - x^{12} - 31 x^{10} + 55 x^{8} + 23 x^{6} - 43 x^{4} - 13 x^{2} + 1$ |
$14$ |
[8,3] |
$-\,2^{14}\cdot 4129^{4}$ |
$2$ |
$21.5838310887$ |
$192.5543205948784$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$10$ |
$81089.6520648$ |
| 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 |
$2$ |
$8$ |
$33305.5237228$ |
| 14.12.811...328.1 |
$x^{14} - 8 x^{12} + 5 x^{10} + 88 x^{8} - 238 x^{6} + 200 x^{4} - 39 x^{2} + 2$ |
$14$ |
[12,1] |
$-\,2^{15}\cdot 3967^{4}$ |
$2$ |
$22.4214758346$ |
$299.60467825276874$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$12$ |
$72386.2571671$ |
| 14.8.853...784.1 |
$x^{14} - 3 x^{13} - 5 x^{12} + 18 x^{11} - 7 x^{10} + x^{9} + 3 x^{8} + 71 x^{6} - 193 x^{5} - 59 x^{4} + 34 x^{3} + 35 x^{2} + 11 x + 1$ |
$14$ |
[8,3] |
$-\,2^{20}\cdot 19\cdot 809^{4}$ |
$3$ |
$22.5021921366$ |
$556.6506474683611$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$10$ |
$29284.3445382$ |
| 14.10.952...608.1 |
$x^{14} - 2 x^{13} - 8 x^{12} + 8 x^{11} + 39 x^{10} + 6 x^{9} - 139 x^{8} - 72 x^{7} + 279 x^{6} + 186 x^{5} - 223 x^{4} - 208 x^{3} - 10 x^{2} + 20 x + 1$ |
$14$ |
[10,2] |
$2^{15}\cdot 4129^{4}$ |
$2$ |
$22.679353804$ |
$272.312931678814$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$11$ |
$63318.0457285$ |
| 14.2.952...608.1 |
$x^{14} - 6 x^{13} + 9 x^{12} + 10 x^{11} - 35 x^{10} + 34 x^{9} - 39 x^{8} + 12 x^{7} + 15 x^{6} + 54 x^{5} + 47 x^{4} + 26 x^{3} + 3 x^{2} - 2 x - 1$ |
$14$ |
[2,6] |
$2^{15}\cdot 4129^{4}$ |
$2$ |
$22.679353804$ |
$272.312931678814$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
$[2]$ |
$2$ |
$7$ |
$24626.8840382$ |
| 14.10.130...144.1 |
$x^{14} - x^{13} - 10 x^{12} + 5 x^{11} + 77 x^{10} - 56 x^{9} - 309 x^{8} + 293 x^{7} + 550 x^{6} - 549 x^{5} - 389 x^{4} + 352 x^{3} + 60 x^{2} - 36 x - 4$ |
$14$ |
[10,2] |
$2^{20}\cdot 29\cdot 809^{4}$ |
$3$ |
$23.1922180501$ |
$687.7093310587969$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$11$ |
$134389.922333$ |
| 14.6.130...144.1 |
$x^{14} - 5 x^{13} + 6 x^{12} + 3 x^{11} - 9 x^{10} + 6 x^{9} - 5 x^{8} + 7 x^{7} - 5 x^{6} + 6 x^{5} - 9 x^{4} + 3 x^{3} + 6 x^{2} - 5 x + 1$ |
$14$ |
[6,4] |
$2^{20}\cdot 29\cdot 809^{4}$ |
$3$ |
$23.1922180501$ |
$687.7093310587969$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$25868.8843749$ |
| 14.8.192...904.1 |
$x^{14} - 4 x^{13} - 7 x^{12} + 30 x^{11} + 6 x^{10} + 6 x^{9} - 35 x^{8} - 70 x^{7} - 35 x^{6} + 6 x^{5} + 6 x^{4} + 30 x^{3} - 7 x^{2} - 4 x + 1$ |
$14$ |
[8,3] |
$-\,2^{12}\cdot 19\cdot 3967^{4}$ |
$3$ |
$23.8504902678$ |
$776.5204440322225$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$10$ |
$34886.0050183$ |
| 14.2.234...605.1 |
$x^{14} - 2 x^{13} - 8 x^{12} + 4 x^{11} + 6 x^{10} + 23 x^{9} + 83 x^{8} + 42 x^{7} + 105 x^{6} - 46 x^{5} + 162 x^{4} + 113 x^{3} + 42 x^{2} + 3 x + 2$ |
$14$ |
[2,6] |
$5\cdot 181^{4}\cdot 257^{4}$ |
$3$ |
$24.1840911607$ |
$482.2706708892839$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$7$ |
$39247.4267217$ |
| 14.12.341...136.1 |
$x^{14} - 7 x^{13} + 6 x^{12} + 53 x^{11} - 98 x^{10} - 127 x^{9} + 309 x^{8} + 174 x^{7} - 406 x^{6} - 232 x^{5} + 238 x^{4} + 226 x^{3} - 48 x^{2} - 86 x - 2$ |
$14$ |
[12,1] |
$-\,2^{22}\cdot 19\cdot 809^{4}$ |
$3$ |
$24.8444343727$ |
$624.8192259500752$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$12$ |
$183002.663841$ |
| 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 |
$2$ |
$13$ |
$581975.493503$ |
| 14.14.519...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 |
$2$ |
$13$ |
$1029504.90426$ |
| 14.6.145...896.1 |
$x^{14} - 5 x^{13} + 11 x^{12} - 47 x^{11} + 204 x^{10} - 368 x^{9} - 44 x^{8} + 1008 x^{7} - 916 x^{6} - 620 x^{5} + 956 x^{4} + 452 x^{3} - 672 x^{2} - 272 x + 304$ |
$14$ |
[6,4] |
$2^{22}\cdot 809^{5}$ |
$2$ |
$32.4788152985$ |
$764.477511593336$ |
|
|
|
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$1157392.83214$ |
