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 |
14.2.52058057626129.1 |
$x^{14} - 2 x^{13} + 3 x^{12} - 4 x^{11} + 4 x^{10} - 4 x^{9} + 4 x^{8} - 5 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$ |
$14$ |
[2,6] |
$7215127^{2}$ |
$1$ |
$9.54441116258$ |
$2686.098844048744$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$9.48144292717$ |
14.2.54815765790289.1 |
$x^{14} + x^{12} - 2 x^{8} - x^{7} - 2 x^{6} + x^{2} + 1$ |
$14$ |
[2,6] |
$7^{2}\cdot 1057681^{2}$ |
$2$ |
$9.57966653808$ |
$2720.9864020240893$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$9.77968117968$ |
14.2.55059380046329.1 |
$x^{14} - 4 x^{13} + 6 x^{12} - x^{11} - 10 x^{10} + 18 x^{9} - 18 x^{8} + 15 x^{7} - 13 x^{6} + 11 x^{5} - 8 x^{4} + 6 x^{3} - 3 x^{2} + 1$ |
$14$ |
[2,6] |
$277^{2}\cdot 569\cdot 1123^{2}$ |
$3$ |
$9.58270130317$ |
$13304.112108667756$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$9.77909350979$ |
14.2.62662828387597.1 |
$x^{14} - x^{13} - 3 x^{12} + 5 x^{11} + 2 x^{10} - 11 x^{9} + 4 x^{8} + 11 x^{7} - 11 x^{6} - 2 x^{5} + 10 x^{4} - 4 x^{3} - 2 x^{2} + 3 x - 1$ |
$14$ |
[2,6] |
$167^{2}\cdot 1213\cdot 1361^{2}$ |
$3$ |
$9.67165316326$ |
$16604.19016393151$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$10.6313575761$ |
14.2.63097400703125.1 |
$x^{14} - 3 x^{13} + 2 x^{12} + 4 x^{11} - 8 x^{10} + 2 x^{9} + 8 x^{8} - 10 x^{7} + x^{6} + 7 x^{5} - 6 x^{4} + x^{3} + 2 x^{2} - x + 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 807646729$ |
$2$ |
$9.6764287896$ |
$63547.09784876096$ |
|
|
? |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$7$ |
$10.6889300961$ |
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 |
$2$ |
$7$ |
$11.2548274629$ |
14.2.78352380449344.1 |
$x^{14} - 2 x^{12} + x^{10} + 2 x^{8} - 3 x^{6} + x^{4} - 1$ |
$14$ |
[2,6] |
$2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2}$ |
$4$ |
$9.82725668122$ |
$2975.1786500981752$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$12.5841466704$ |
14.2.94241555580481.1 |
$x^{14} - x^{12} - 2 x^{9} + 3 x^{7} - 2 x^{5} - x^{2} + 1$ |
$14$ |
[2,6] |
$43^{2}\cdot 401^{2}\cdot 563^{2}$ |
$3$ |
$9.95772606431$ |
$3115.735707661996$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$13.4715273772$ |
14.2.94724481953125.1 |
$x^{14} - x^{13} - 2 x^{12} + 5 x^{11} + 2 x^{10} - 9 x^{9} + 2 x^{8} + 10 x^{7} - 6 x^{6} - 6 x^{5} + 7 x^{4} + x^{3} - 4 x^{2} + 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 199\cdot 6092831$ |
$3$ |
$9.96136219536$ |
$77861.20243741423$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$7$ |
$13.5893961295$ |
14.2.103886084489093.1 |
$x^{14} - 3 x^{12} - 3 x^{11} + 6 x^{10} + 7 x^{9} - 5 x^{8} - 12 x^{7} + 2 x^{6} + 11 x^{5} + x^{4} - 7 x^{3} - 2 x^{2} + 4 x - 1$ |
$14$ |
[2,6] |
$53\cdot 977^{2}\cdot 1433^{2}$ |
$3$ |
$10.0272690923$ |
$8614.068318744634$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$14.647522546$ |
14.2.116768679686993.1 |
$x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 21 x^{10} - 29 x^{9} + 35 x^{8} - 37 x^{7} + 35 x^{6} - 29 x^{5} + 21 x^{4} - 14 x^{3} + 7 x^{2} - 3 x + 1$ |
$14$ |
[2,6] |
$257\cdot 674057^{2}$ |
$2$ |
$10.1113472722$ |
$13161.787454597496$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$15.418973911$ |
14.2.154291569457229.1 |
$x^{14} - x^{13} + x^{12} - 2 x^{11} + 2 x^{10} - 3 x^{9} + 3 x^{8} - 3 x^{7} + 3 x^{6} - 3 x^{5} + 2 x^{4} - 2 x^{3} + x^{2} - x + 1$ |
$14$ |
[2,6] |
$29\cdot 107^{2}\cdot 21557^{2}$ |
$3$ |
$10.3146148047$ |
$8178.714507793997$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$17.8336574914$ |
14.2.160805685121205.1 |
$x^{14} + x^{12} - x^{9} - x^{8} - x^{7} - x^{6} - x^{5} + x^{2} + 1$ |
$14$ |
[2,6] |
$5\cdot 41^{2}\cdot 138319^{2}$ |
$3$ |
$10.3451267052$ |
$5324.978403712075$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$7$ |
$20.4518453354$ |
14.2.212764932023296.1 |
$x^{14} - x^{10} + x^{8} + x^{2} - 1$ |
$14$ |
[2,6] |
$2^{10}\cdot 455827^{2}$ |
$2$ |
$10.5541055231$ |
$2476.4596997354265$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$21.4724068698$ |
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 |
$2$ |
$7$ |
$26.4300628611$ |
14.2.321952970703125.1 |
$x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 7 x^{10} + 11 x^{9} - 25 x^{8} + 33 x^{7} - 4 x^{6} - 56 x^{5} + 93 x^{4} - 78 x^{3} + 38 x^{2} - 10 x + 1$ |
$14$ |
[2,6] |
$5^{9}\cdot 37^{2}\cdot 347^{2}$ |
$3$ |
$10.8710348587$ |
$433.25202677491876$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$7$ |
$30.836203822$ |
14.2.386441371953125.1 |
$x^{14} - x^{13} - 2 x^{12} + 4 x^{11} - 2 x^{10} - 3 x^{9} + x^{8} + 6 x^{6} - 11 x^{5} + 5 x^{4} - 12 x^{3} + 24 x^{2} - 20 x + 5$ |
$14$ |
[2,6] |
$5^{7}\cdot 53^{2}\cdot 1327^{2}$ |
$3$ |
$11.0137330011$ |
$593.0050590003427$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$7$ |
$38.0258403894$ |
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 |
$2$ |
$7$ |
$35.8148412318$ |
14.2.422859037223221.1 |
$x^{14} - 2 x^{13} - 4 x^{12} + 6 x^{11} + 10 x^{10} - 3 x^{9} - 19 x^{8} - 6 x^{7} + 27 x^{6} - x^{5} - 20 x^{4} + 9 x^{3} + 4 x^{2} - 4 x + 1$ |
$14$ |
[2,6] |
$71^{6}\cdot 3301$ |
$2$ |
$11.0848101244$ |
$484.1187870760646$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$7$ |
$32.6924434913$ |
14.2.493856488203125.1 |
$x^{14} - 2 x^{13} + 6 x^{11} - 3 x^{10} - 8 x^{9} + 13 x^{8} + 4 x^{7} - 16 x^{6} + 7 x^{5} + 13 x^{4} - 11 x^{3} - 4 x^{2} + 6 x - 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 43^{6}$ |
$2$ |
$11.2083816827$ |
$14.66287829861518$ |
|
|
? |
$D_{14}$ (as 14T3) |
trivial |
$2$ |
$7$ |
$39.9535247267$ |
14.2.508017475013049.1 |
$x^{14} - x^{11} - x^{10} - 4 x^{9} + x^{7} - 4 x^{5} - x^{4} - x^{3} + 1$ |
$14$ |
[2,6] |
$3^{2}\cdot 2741^{4}$ |
$2$ |
$11.2310381813$ |
$90.68075870878012$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$7$ |
$38.5839923887$ |
14.2.511335829405696.1 |
$x^{14} + x^{12} - 3 x^{10} - 2 x^{8} + 5 x^{6} + 2 x^{4} - 2 x^{2} - 1$ |
$14$ |
[2,6] |
$2^{16}\cdot 19^{2}\cdot 4649^{2}$ |
$3$ |
$11.2362624128$ |
$1681.2471561314237$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$7$ |
$44.0785273821$ |
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 |
$2$ |
$7$ |
$60.9500885385$ |
14.2.842608211391089.1 |
$x^{14} - 2 x^{13} - x^{12} + 3 x^{11} - 3 x^{10} + 4 x^{9} + x^{8} + 5 x^{7} + x^{6} + 4 x^{5} - 3 x^{4} + 3 x^{3} - x^{2} - 2 x + 1$ |
$14$ |
[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 |
$2$ |
$7$ |
$53.6191063514$ |
14.2.959588563913537.1 |
$x^{14} - 6 x^{13} + 15 x^{12} - 18 x^{11} - x^{10} + 52 x^{9} - 125 x^{8} + 189 x^{7} - 217 x^{6} + 198 x^{5} - 146 x^{4} + 83 x^{3} - 33 x^{2} + 8 x - 1$ |
$14$ |
[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 |
$2$ |
$7$ |
$61.4178551051$ |
14.2.973177856947837.1 |
$x^{14} - 3 x^{13} + 3 x^{12} - 13 x^{10} + 27 x^{9} - 4 x^{8} - 31 x^{7} + 36 x^{6} - 14 x^{5} - 13 x^{4} + 22 x^{3} - 15 x^{2} + 6 x - 1$ |
$14$ |
[2,6] |
$71^{7}\cdot 107$ |
$2$ |
$11.7648165206$ |
$253.00881373347607$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$7$ |
$50.753333025$ |
14.2.1068249673759921.1 |
$x^{14} + x^{12} - x^{10} + 2 x^{8} - 7 x^{6} + x^{4} + 3 x^{2} - 1$ |
$14$ |
[2,6] |
$5717^{4}$ |
$1$ |
$11.8434062428$ |
$75.61084578286372$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$7$ |
$54.9054901963$ |
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 |
$2$ |
$7$ |
$56.9116802426$ |
14.2.1261896507968473.1 |
$x^{14} - 5 x^{13} + 12 x^{12} - 21 x^{11} + 29 x^{10} - 34 x^{9} + 36 x^{8} - 37 x^{7} + 36 x^{6} - 34 x^{5} + 29 x^{4} - 21 x^{3} + 12 x^{2} - 5 x + 1$ |
$14$ |
[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 |
$2$ |
$7$ |
$71.6776654006$ |
14.2.1328264921546161.1 |
$x^{14} - 2 x^{12} - 3 x^{10} + 10 x^{8} - 6 x^{6} - 5 x^{4} + 7 x^{2} - 1$ |
$14$ |
[2,6] |
$6037^{4}$ |
$1$ |
$12.0291411706$ |
$77.69813382572325$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$7$ |
$62.9966554721$ |
14.2.2098795051761664.1 |
$x^{14} - 2 x^{12} + 2 x^{10} + x^{6} - 3 x^{4} + x^{2} - 1$ |
$14$ |
[2,6] |
$2^{14}\cdot 71^{6}$ |
$2$ |
$12.4287207638$ |
$32.98237903598798$ |
|
|
? |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$7$ |
$81.9895735666$ |
14.2.2098795051761664.2 |
$x^{14} + x^{12} - x^{10} - x^{8} - x^{6} + x^{4} + 2 x^{2} - 1$ |
$14$ |
[2,6] |
$2^{14}\cdot 71^{6}$ |
$2$ |
$12.4287207638$ |
$32.98237903598798$ |
|
|
✓ |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$7$ |
$90.862317512$ |
14.2.2647140367335424.1 |
$x^{14} - 3 x^{12} + x^{10} + x^{8} - x^{6} + 7 x^{4} - x^{2} - 1$ |
$14$ |
[2,6] |
$2^{18}\cdot 317^{4}$ |
$2$ |
$12.6365036308$ |
|
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$7$ |
$153.375725823$ |
14.2.3329851404800000.1 |
$x^{14} - 3 x^{13} + 4 x^{12} - 5 x^{11} + 5 x^{10} + 2 x^{9} - 9 x^{8} + 7 x^{7} - 3 x^{6} + 2 x^{5} - 7 x^{4} + 5 x^{3} - 4 x^{2} + x - 1$ |
$14$ |
[2,6] |
$2^{12}\cdot 5^{5}\cdot 127^{4}$ |
$3$ |
$12.8453112628$ |
$45.6470349996514$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$7$ |
$144.478228895$ |
14.2.3405373945327868.1 |
$x^{14} - 2 x^{13} + x^{12} + x^{11} - 3 x^{10} + 2 x^{9} + x^{8} - 3 x^{7} + 3 x^{6} + x^{5} - 3 x^{4} + x^{3} + x^{2} - 2 x - 1$ |
$14$ |
[2,6] |
$2^{2}\cdot 571\cdot 1490969328077$ |
$3$ |
$12.8659050944$ |
$58355581.95518119$ |
|
|
✓ |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$7$ |
$203.180427696$ |
14.2.4396746947664269.1 |
$x^{14} - x^{13} - x^{12} + 2 x^{11} + 2 x^{10} - 9 x^{9} + 5 x^{8} + x^{7} + 5 x^{6} - 9 x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - x + 1$ |
$14$ |
[2,6] |
$11^{8}\cdot 29^{5}$ |
$2$ |
$13.1028730603$ |
$122.0372003294251$ |
|
|
? |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$7$ |
$174.512491813$ |
14.2.5712803040866857.1 |
$x^{14} - 3 x^{13} + 8 x^{12} - 15 x^{11} + 24 x^{10} - 26 x^{9} + 23 x^{8} - 22 x^{7} + 23 x^{6} - 22 x^{5} + 9 x^{4} - 7 x^{3} + 3 x^{2} - 6 x - 1$ |
$14$ |
[2,6] |
$13^{5}\cdot 109^{5}$ |
$2$ |
$13.3502448895$ |
$37.64306044943742$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$7$ |
$137.992903691$ |
14.2.5712803040866857.2 |
$x^{14} - 3 x^{13} + 8 x^{12} - 13 x^{11} + 15 x^{10} - 14 x^{9} - x^{7} - 14 x^{5} + 15 x^{4} - 13 x^{3} + 8 x^{2} - 3 x + 1$ |
$14$ |
[2,6] |
$13^{5}\cdot 109^{5}$ |
$2$ |
$13.3502448895$ |
$37.64306044943742$ |
|
|
? |
$C_2\times \GL(3,2)$ (as 14T17) |
trivial |
$2$ |
$7$ |
$137.992903691$ |
14.2.7108512163632049.1 |
$x^{14} - 2 x^{13} - 5 x^{12} + 15 x^{11} + 5 x^{10} - 44 x^{9} + 17 x^{8} + 66 x^{7} - 51 x^{6} - 56 x^{5} + 54 x^{4} + 33 x^{3} - 14 x^{2} + x + 5$ |
$14$ |
[2,6] |
$17^{6}\cdot 131^{4}$ |
$2$ |
$13.5603190531$ |
$215.94884627643356$ |
|
|
? |
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$7$ |
$258.537635842$ |
14.2.7729847623880704.1 |
$x^{14} - 5 x^{13} + 7 x^{12} + x^{11} - x^{10} - 9 x^{9} - 23 x^{8} + 61 x^{7} - 38 x^{6} + 22 x^{5} - 24 x^{4} + 10 x^{3} - 4 x^{2} + 2 x - 2$ |
$14$ |
[2,6] |
$2^{12}\cdot 7^{2}\cdot 443^{4}$ |
$3$ |
$13.6417269442$ |
$100.8733847747697$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$7$ |
$493.681504696$ |
14.2.9242067299140625.1 |
$x^{14} - 2 x^{13} + 5 x^{12} - 5 x^{11} + 8 x^{10} - 10 x^{9} + x^{8} - 2 x^{7} - 5 x^{6} + 8 x^{5} + 10 x^{4} + 2 x^{3} - 6 x^{2} - x + 1$ |
$14$ |
[2,6] |
$5^{7}\cdot 4909^{3}$ |
$2$ |
$13.816946643$ |
$156.66843970627906$ |
|
|
? |
$D_7 \wr C_2$ (as 14T20) |
trivial |
$2$ |
$7$ |
$263.069092309$ |
14.2.9604489472586752.1 |
$x^{14} - 2 x^{13} + x^{12} + x^{11} - 3 x^{10} + 2 x^{9} + x^{8} - 4 x^{7} + 3 x^{6} + 2 x^{5} - 3 x^{4} + x^{3} + x^{2} - 2 x - 1$ |
$14$ |
[2,6] |
$2^{10}\cdot 2109097\cdot 4447109$ |
$3$ |
$13.8549609498$ |
$7717213.078870776$ |
|
|
✓ |
$S_{14}$ (as 14T63) |
trivial |
$2$ |
$7$ |
$446.112362389$ |