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 |
14.0.9095120158391.1 |
$x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 103 x^{10} - 141 x^{9} + 159 x^{8} - 153 x^{7} + 129 x^{6} - 95 x^{5} + 58 x^{4} - 27 x^{3} + 10 x^{2} - 3 x + 1$ |
$14$ |
[0,7] |
$-\,71^{7}$ |
$1$ |
$8.42614977318$ |
$8.426149773176359$ |
|
✓ |
? |
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$6$ |
$2.56161916129$ |
14.0.9669040949311.1 |
$x^{14} - x^{13} + 3 x^{12} - 6 x^{11} + 5 x^{10} - 9 x^{9} + 11 x^{8} - 7 x^{7} + 11 x^{6} - 9 x^{5} + 5 x^{4} - 6 x^{3} + 3 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,19^{2}\cdot 79\cdot 18413^{2}$ |
$3$ |
$8.46305933364$ |
$5257.1772844369625$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$2.65828702774$ |
14.0.9745585291264.1 |
$x^{14} - 4 x^{13} + 7 x^{12} - 4 x^{11} - 8 x^{10} + 24 x^{9} - 30 x^{8} + 16 x^{7} + 13 x^{6} - 38 x^{5} + 46 x^{4} - 36 x^{3} + 19 x^{2} - 6 x + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 29^{6}$ |
$2$ |
$8.467827352511435$ |
$35.8520500359704$ |
|
|
✓ |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$4$ |
$6$ |
$5.342840135225723$ |
14.0.9866941650479.1 |
$x^{14} - 3 x^{13} + 6 x^{12} - 11 x^{11} + 16 x^{10} - 21 x^{9} + 25 x^{8} - 25 x^{7} + 25 x^{6} - 21 x^{5} + 16 x^{4} - 11 x^{3} + 6 x^{2} - 3 x + 1$ |
$14$ |
[0,7] |
$-\,167^{2}\cdot 191\cdot 1361^{2}$ |
$3$ |
$8.47531594932$ |
$6588.764451701093$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$2.68866215877$ |
14.0.11856232199187.1 |
$x^{14} - x^{13} + x^{12} - x^{10} - x^{9} + x^{8} - x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + x^{3} + x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5421231001$ |
$2$ |
$8.58723475068$ |
$127529.18490682829$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$6$ |
$6$ |
$9.0466002324$ |
14.0.12985240103739.1 |
$x^{14} - x^{13} + x^{12} - 4 x^{11} + 4 x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 2 x^{6} - 2 x^{5} + 5 x^{4} - 2 x^{3} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5937466897$ |
$2$ |
$8.64320868463$ |
$133463.10610427137$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$6$ |
$6$ |
$9.5585171283$ |
14.0.13048447346663.1 |
$x^{14} - x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - x^{7} + x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,23\cdot 37^{2}\cdot 20357^{2}$ |
$3$ |
$8.64620704819$ |
$4162.1877660672635$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$3.18798462168$ |
14.0.13824820988163.1 |
$x^{14} - 3 x^{13} + 8 x^{12} - 18 x^{11} + 32 x^{10} - 52 x^{9} + 70 x^{8} - 81 x^{7} + 82 x^{6} - 70 x^{5} + 52 x^{4} - 31 x^{3} + 16 x^{2} - 6 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 43^{6}$ |
$2$ |
$8.681975119007818$ |
$43.518753397811835$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$6$ |
$6$ |
$9.923787361493524$ |
14.0.16973485041483.1 |
$x^{14} - 2 x^{13} + 2 x^{12} - 6 x^{11} + 8 x^{10} - 4 x^{9} + 9 x^{8} - 11 x^{7} + 6 x^{6} - 6 x^{5} + 5 x^{4} - 4 x^{3} + 2 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 37^{2}\cdot 2381^{2}$ |
$3$ |
$8.81015693246$ |
$514.0924041454026$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$11.1445691239$ |
14.0.22139206005899.1 |
$x^{14} - 3 x^{13} + 4 x^{12} - 2 x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 11 x^{7} + 9 x^{6} - 4 x^{5} + x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$ |
$14$ |
[0,7] |
$-\,59\cdot 593^{2}\cdot 1033^{2}$ |
$3$ |
$8.97895634588$ |
$6011.786007502263$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$4.38657959616$ |
14.0.28466647927227.1 |
$x^{14} - x^{13} + 2 x^{12} + 3 x^{11} - x^{10} + 4 x^{9} + 3 x^{8} + 2 x^{7} + 2 x^{4} - 2 x^{3} - x^{2} + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 114089^{2}$ |
$2$ |
$9.14163808258$ |
$585.0358963345753$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$15.4833298742$ |
14.0.30270895108587.1 |
$x^{14} - 4 x^{13} + 6 x^{12} - 3 x^{11} - 6 x^{10} + 14 x^{9} - 12 x^{8} + 2 x^{7} + 10 x^{6} - 8 x^{5} - 3 x^{4} + x^{3} + 7 x^{2} - 5 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 7^{12}$ |
$2$ |
$9.181853855048184$ |
$48.67434595281677$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$6$ |
$6$ |
$16.520791850817314$ |
14.0.51902598731283.1 |
$x^{14} - 2 x^{13} + 3 x^{12} - 6 x^{11} + 6 x^{10} - 4 x^{9} + 3 x^{8} + x^{7} - x^{5} + 3 x^{4} + 3 x^{2} + x + 1$ |
$14$ |
[0,7] |
$-\,3^{11}\cdot 17117^{2}$ |
$2$ |
$9.54237247067$ |
$471.36278284837806$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$27.6082700412$ |
14.0.56316949686099.1 |
$x^{14} - 2 x^{13} + 6 x^{12} - 11 x^{11} + 19 x^{10} - 26 x^{9} + 33 x^{8} - 35 x^{7} + 33 x^{6} - 26 x^{5} + 19 x^{4} - 10 x^{3} + 6 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 2953^{3}$ |
$2$ |
$9.59817157113$ |
$94.12226091632095$ |
|
|
✓ |
$D_7 \wr C_2$ (as 14T20) |
trivial |
$6$ |
$6$ |
$24.3506832156$ |
14.0.74532401109963.1 |
$x^{14} - x^{13} + 2 x^{12} - x^{11} + 2 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 3 x^{5} - x^{3} + 2 x^{2} + x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 184607^{2}$ |
$2$ |
$9.79223424158$ |
$744.1915076107762$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$26.6828967522$ |
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 |
$2$ |
$6$ |
$9.51678072789$ |
14.0.118236562059083.1 |
$x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 5 x^{10} - x^{9} + x^{8} + 2 x^{7} + 11 x^{6} - 13 x^{5} + 6 x^{4} - 8 x^{3} + 4 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,13\cdot 71^{7}$ |
$2$ |
$10.1203738706$ |
$88.18920705302763$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$6$ |
$12.9746502268$ |
14.0.172575877556547.1 |
$x^{14} - x^{13} - x^{12} + 2 x^{10} + x^{9} - x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} - x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 280909^{2}$ |
$2$ |
$10.3974573916$ |
$918.0016339854739$ |
|
|
✓ |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$55.4764206676$ |
14.0.263657868936003.1 |
$x^{14} + x^{12} - 2 x^{11} - x^{10} + 3 x^{7} - x^{4} - 2 x^{3} + x^{2} + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 103^{2}\cdot 3371^{2}$ |
$3$ |
$10.717027334$ |
$1020.6071722264154$ |
|
|
✓ |
$S_7\times C_2$ (as 14T49) |
trivial |
$6$ |
$6$ |
$73.5044803741$ |
14.0.280155320935227.1 |
$x^{14} - x^{13} + 2 x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 3 x^{8} - 4 x^{7} + 2 x^{6} - 4 x^{5} + 2 x^{4} + 5 x^{2} + 2 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 71^{6}$ |
$2$ |
$10.763587918$ |
$14.594519519326424$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$6$ |
$6$ |
$64.9438034848$ |
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 |
$2$ |
$6$ |
$22.560872956$ |
14.0.407483719072587.1 |
$x^{14} - x^{13} + 4 x^{12} - x^{11} + 4 x^{10} + 2 x^{9} - 6 x^{8} + 3 x^{7} - 6 x^{6} + 2 x^{5} + 4 x^{4} - x^{3} + 4 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{15}\cdot 73^{4}$ |
$2$ |
$11.0555233042$ |
$80.3310880644573$ |
|
|
? |
$A_7\times C_2$ (as 14T47) |
trivial |
$6$ |
$6$ |
$96.5294199023$ |
14.0.445660887761159.1 |
$x^{14} - x^{13} + 6 x^{12} - 4 x^{11} + 12 x^{10} - 2 x^{9} + 11 x^{8} + 3 x^{7} + 11 x^{6} - 2 x^{5} + 12 x^{4} - 4 x^{3} + 6 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,7^{2}\cdot 71^{7}$ |
$2$ |
$11.1264716525$ |
$64.71318596135296$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
trivial |
$2$ |
$6$ |
$25.684570553$ |
14.0.489862582246303.1 |
$x^{14} - 5 x^{13} + 18 x^{12} - 44 x^{11} + 89 x^{10} - 140 x^{9} + 190 x^{8} - 209 x^{7} + 201 x^{6} - 156 x^{5} + 104 x^{4} - 55 x^{3} + 23 x^{2} - 7 x + 1$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 29^{6}$ |
$2$ |
$11.201882659887865$ |
$47.427804193511$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$2$ |
$6$ |
$30.78649932175806$ |
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 |
$2$ |
$6$ |
$39.7279937779$ |
14.0.951316069511168.1 |
$x^{14} - x^{13} + x^{12} + 3 x^{11} - 3 x^{10} - x^{9} + 5 x^{8} - 5 x^{7} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 23\cdot 317^{4}$ |
$3$ |
$11.7457389722$ |
$154.67469192665862$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$6$ |
$114.877857314$ |
14.0.1044189123207139.1 |
$x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 22 x^{10} - 29 x^{9} + 35 x^{8} - 37 x^{7} + 35 x^{6} - 29 x^{5} + 22 x^{4} - 14 x^{3} + 7 x^{2} - 3 x + 1$ |
$14$ |
[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 |
$2$ |
$6$ |
$35.5450250635$ |
14.0.1100509539165311.1 |
$x^{14} + x^{12} - x^{11} + 9 x^{10} - 14 x^{9} + 29 x^{8} - 26 x^{7} + 33 x^{6} - 37 x^{5} + 34 x^{4} - 35 x^{3} + 24 x^{2} - 8 x + 1$ |
$14$ |
[0,7] |
$-\,11^{2}\cdot 71^{7}$ |
$2$ |
$11.868601766$ |
$81.12227174365087$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
trivial |
$2$ |
$6$ |
$42.7570424883$ |
14.0.1341540892314911.1 |
$x^{14} - 4 x^{13} + 9 x^{12} - 14 x^{11} + 20 x^{10} - 26 x^{9} + 30 x^{8} - 31 x^{7} + 30 x^{6} - 26 x^{5} + 20 x^{4} - 14 x^{3} + 9 x^{2} - 4 x + 1$ |
$14$ |
[0,7] |
$-\,23^{2}\cdot 239^{3}\cdot 431^{2}$ |
$3$ |
$12.0376894959$ |
$6052.028698996012$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$6$ |
$40.7960239576$ |
14.0.1667731600838171.1 |
$x^{14} - 3 x^{13} + 5 x^{12} - 5 x^{11} + 3 x^{10} - 6 x^{9} + 12 x^{8} - 21 x^{7} + 25 x^{6} - 19 x^{5} + 14 x^{4} - 5 x^{3} + 4 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,11^{9}\cdot 29^{4}$ |
$2$ |
$12.2262909234$ |
$69.62404259846498$ |
|
|
? |
$A_7\times C_2$ (as 14T47) |
trivial |
$2$ |
$6$ |
$84.1958965155$ |
14.0.1789940649848551.1 |
$x^{14} - 4 x^{13} + 6 x^{12} - 2 x^{11} - 9 x^{10} + 19 x^{9} - 16 x^{8} - 5 x^{7} + 25 x^{6} - 22 x^{5} + 41 x^{4} - 60 x^{3} + 23 x^{2} + 3 x + 9$ |
$14$ |
[0,7] |
$-\,151^{7}$ |
$1$ |
$12.2882057274$ |
$12.288205727444508$ |
|
✓ |
|
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$6$ |
$70.4788147496$ |
14.0.2098795051761664.1 |
$x^{14} + 3 x^{12} + x^{10} - 3 x^{8} + x^{6} + 7 x^{4} + 6 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 71^{6}$ |
$2$ |
$12.4287207638$ |
$16.852299546352718$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$4$ |
$6$ |
$104.988217999$ |
14.0.2098795051761664.2 |
$x^{14} - x^{12} - x^{10} + x^{8} - x^{6} - x^{4} + 2 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 71^{6}$ |
$2$ |
$12.4287207638$ |
|
|
|
✓ |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$6$ |
$56.1829028407$ |
14.0.2098795051761664.3 |
$x^{14} - x^{12} + 2 x^{10} - 2 x^{8} + x^{6} + 2 x^{4} - 3 x^{2} + 1$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 71^{6}$ |
$2$ |
$12.428720763812146$ |
|
|
|
✓ |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$6$ |
$66.76587341351095$ |
14.0.3332000199986667.1 |
$x^{14} - 2 x^{13} - 3 x^{12} + 8 x^{11} + 3 x^{10} - 11 x^{9} - x^{8} + 7 x^{7} + 5 x^{6} + x^{5} - 5 x^{4} - 3 x^{3} + 4 x^{2} + 4 x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 11^{4}\cdot 101^{4}$ |
$3$ |
$12.8459031741$ |
$57.73214009544424$ |
|
|
? |
$\PGL(2,7)$ (as 14T16) |
trivial |
$6$ |
$6$ |
$358.769387668$ |
14.0.3911915096945863.1 |
$x^{14} - 5 x^{12} - 6 x^{11} + 8 x^{10} + 21 x^{9} + 14 x^{8} - 6 x^{7} - 13 x^{6} + x^{5} + 10 x^{4} + x^{3} - 2 x + 1$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 41^{6}$ |
$2$ |
$12.9939772319$ |
$16.941074346097416$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$6$ |
$90.8322177609$ |
14.0.4247165798546875.1 |
$x^{14} - 2 x^{13} + 3 x^{12} - 7 x^{11} + 4 x^{10} + 9 x^{9} - 25 x^{7} + 13 x^{6} + 15 x^{5} + x^{4} - 16 x^{3} + x^{2} + 3 x + 1$ |
$14$ |
[0,7] |
$-\,5^{6}\cdot 43^{7}$ |
$2$ |
$13.0705180468$ |
$14.66287829861518$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$6$ |
$83.0268971918$ |
14.0.5205914289462607.1 |
$x^{14} - 2 x^{13} + 2 x^{12} - 5 x^{11} + 8 x^{10} + 2 x^{9} - 6 x^{8} + 11 x^{7} - 3 x^{6} + 9 x^{5} + 18 x^{4} - 8 x^{3} + x^{2} + 14 x + 7$ |
$14$ |
[0,7] |
$-\,7^{7}\cdot 43^{6}$ |
$2$ |
$13.261936054858854$ |
$66.47599386519646$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$2$ |
$6$ |
$154.6496312968527$ |
14.0.6291359383496543.1 |
$x^{14} - 2 x^{13} + 3 x^{12} + 5 x^{11} - 21 x^{10} + 42 x^{9} - 29 x^{8} - 37 x^{7} + 177 x^{6} - 308 x^{5} + 385 x^{4} - 333 x^{3} + 217 x^{2} - 94 x + 23$ |
$14$ |
[0,7] |
$-\,184607^{3}$ |
$1$ |
$13.4425527568$ |
$429.65916724771506$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
trivial |
$2$ |
$6$ |
$99.720339762$ |
14.0.8817149082834027.1 |
$x^{14} - x^{13} + 4 x^{12} + x^{11} + 6 x^{10} + 4 x^{9} + 10 x^{8} + 12 x^{6} - 5 x^{5} + 4 x^{4} - 7 x^{3} + 2 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 13^{4}\cdot 109^{4}$ |
$3$ |
$13.7705730417$ |
$65.19969325081216$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$6$ |
$6$ |
$415.648287609$ |
14.0.8817149082834027.2 |
$x^{14} - 2 x^{13} + 5 x^{12} - 6 x^{11} + 9 x^{10} - 7 x^{9} + 8 x^{8} - 3 x^{7} + 7 x^{6} + 7 x^{5} + 5 x^{4} + 3 x^{3} + 4 x^{2} - x + 1$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 13^{4}\cdot 109^{4}$ |
$3$ |
$13.7705730417$ |
$65.19969325081216$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$6$ |
$6$ |
$415.648287609$ |
14.0.9176374064424843.1 |
$x^{14} - 4 x^{13} + 2 x^{12} + 11 x^{11} - 12 x^{10} - 27 x^{9} + 59 x^{8} + 9 x^{7} - 110 x^{6} + 92 x^{5} + 26 x^{4} - 80 x^{3} + 55 x^{2} - 22 x + 7$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 127^{6}$ |
$2$ |
$13.809908258039735$ |
$110.10852872333544$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$6$ |
$6$ |
$620.9879838596519$ |
14.0.11398895185373143.1 |
$x^{14} - 7 x^{13} + 21 x^{12} - 35 x^{11} + 42 x^{10} - 56 x^{9} + 77 x^{8} - 71 x^{7} + 49 x^{6} - 49 x^{5} + 35 x^{4} + 14 x^{2} - 21 x + 9$ |
$14$ |
[0,7] |
$-\,7^{19}$ |
$1$ |
$14.0255134369$ |
$14.025513436926797$ |
|
✓ |
|
$D_{7}$ (as 14T2) |
trivial |
$2$ |
$6$ |
$226.193433966$ |
14.0.13256859160936448.1 |
$x^{14} - 2 x^{13} + 5 x^{12} - 6 x^{11} + 5 x^{10} - 6 x^{9} + 6 x^{8} - 12 x^{7} + 22 x^{6} + 2 x^{5} + 7 x^{4} + 28 x^{3} + 2 x^{2} - 4 x + 1$ |
$14$ |
[0,7] |
$-\,2^{21}\cdot 43^{6}$ |
$2$ |
$14.17760600073894$ |
$71.06582671110044$ |
|
|
? |
$C_7 \wr C_2$ (as 14T8) |
trivial |
$2$ |
$6$ |
$135.44305525773999$ |
14.0.15896284050080291.1 |
$x^{14} - 7 x^{13} + 16 x^{12} - 5 x^{11} - 33 x^{10} + 44 x^{9} + 6 x^{8} - 57 x^{7} + 39 x^{6} + 22 x^{5} - 36 x^{4} + 5 x^{3} + 11 x^{2} - 6 x + 1$ |
$14$ |
[0,7] |
$-\,11^{7}\cdot 13^{8}$ |
$2$ |
$14.3626772393$ |
$18.336871607339905$ |
|
|
? |
$F_7$ (as 14T4) |
trivial |
$2$ |
$6$ |
$386.477325881$ |
14.0.17391946147446784.1 |
$x^{14} - 2 x^{13} + 8 x^{12} - 18 x^{11} + 33 x^{10} - 66 x^{9} + 99 x^{8} - 136 x^{7} + 188 x^{6} - 192 x^{5} + 181 x^{4} - 150 x^{3} + 86 x^{2} - 28 x + 4$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 101^{6}$ |
$2$ |
$14.4552254712$ |
$20.09975124224178$ |
|
|
|
$D_{14}$ (as 14T3) |
trivial |
$4$ |
$6$ |
$1052.31961458$ |
14.0.17976985715755339.1 |
$x^{14} - x^{13} + x^{12} - 3 x^{11} - 11 x^{10} - 11 x^{9} + 20 x^{7} + 60 x^{6} + 92 x^{5} + 96 x^{4} + 66 x^{3} + 30 x^{2} + 8 x + 1$ |
$14$ |
[0,7] |
$-\,7^{3}\cdot 13^{5}\cdot 109^{4}$ |
$3$ |
$14.4894268022$ |
$99.5941765365827$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$6$ |
$221.587337429$ |
14.0.19446011944726528.1 |
$x^{14} - 7 x^{13} + 21 x^{12} - 35 x^{11} + 35 x^{10} - 21 x^{9} + 7 x^{8} + x^{7} - 14 x^{6} + 28 x^{5} - 14 x^{4} - 14 x^{3} + 14 x^{2} + 2$ |
$14$ |
[0,7] |
$-\,2^{12}\cdot 7^{15}$ |
$2$ |
$14.5709509521$ |
$15.985663254345006$ |
|
|
? |
$F_7$ (as 14T4) |
trivial |
$2$ |
$6$ |
$717.383898726$ |