| 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 |
| 14.6.1616678912764721.1 |
$x^{14} - 4 x^{13} + 3 x^{12} + 4 x^{11} - 2 x^{10} - 2 x^{9} - 6 x^{8} + 2 x^{7} + x^{6} + 7 x^{5} + 9 x^{4} - 10 x^{3} - 6 x^{2} + 3 x + 1$ |
$14$ |
[6,4] |
$13^{4}\cdot 109^{4}\cdot 401$ |
$3$ |
$12.1991696106$ |
$753.8016980612341$ |
|
|
? |
$C_2^7.\GL(3,2)$ (as 14T51) |
trivial |
$2$ |
$9$ |
$124.900795328$ |
| 14.6.2969352016881121.1 |
$x^{14} - 2 x^{13} - 5 x^{12} + 10 x^{11} + 9 x^{10} - 21 x^{9} - 6 x^{8} + 28 x^{7} - 6 x^{6} - 16 x^{5} + 7 x^{4} + 5 x^{3} - x^{2} - 3 x + 1$ |
$14$ |
[6,4] |
$23^{4}\cdot 239^{2}\cdot 431^{2}$ |
$3$ |
$12.7406070261$ |
$1539.2228558594106$ |
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$178.222455529$ |
| 14.6.3025316848515625.1 |
$x^{14} - 2 x^{13} - 3 x^{12} + 11 x^{11} - 4 x^{10} - 19 x^{9} + 23 x^{8} + 6 x^{7} - 29 x^{6} + 14 x^{5} + 11 x^{4} - 14 x^{3} + 2 x^{2} + 3 x - 1$ |
$14$ |
[6,4] |
$5^{7}\cdot 89\cdot 435101749$ |
$3$ |
$12.7576107619$ |
$440023.04292502685$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$9$ |
$181.522245748$ |
| 14.6.3272179634453125.1 |
$x^{14} - x^{13} - 2 x^{12} + 6 x^{11} - 4 x^{10} - 6 x^{9} + 12 x^{8} - 6 x^{7} - 5 x^{6} + 9 x^{5} - 4 x^{4} - 2 x^{3} + 3 x^{2} - x - 1$ |
$14$ |
[6,4] |
$5^{7}\cdot 11\cdot 191\cdot 19935221$ |
$4$ |
$12.829290898$ |
$457623.75004472834$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$9$ |
$197.87494412$ |
| 14.6.3957778157890625.1 |
$x^{14} - x^{13} - 2 x^{12} + 4 x^{11} - 4 x^{10} + 8 x^{8} - 11 x^{7} + 4 x^{6} + 3 x^{5} - 8 x^{4} + 7 x^{3} - x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$5^{7}\cdot 50659560421$ |
$2$ |
$13.0047999167$ |
$503286.9977507863$ |
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$9$ |
$214.933854012$ |
| 14.6.4853763848143681.1 |
$x^{14} - 2 x^{13} + 5 x^{11} - 9 x^{10} + 4 x^{9} + 8 x^{8} - 15 x^{7} + 8 x^{6} + 4 x^{5} - 9 x^{4} + 5 x^{3} - 2 x + 1$ |
$14$ |
[6,4] |
$1621^{2}\cdot 42979^{2}$ |
$2$ |
$13.1957533341$ |
$8346.793336365768$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$245.103605232$ |
| 14.6.5139738988203125.1 |
$x^{14} - 4 x^{13} - x^{12} + 24 x^{11} - 26 x^{10} - 27 x^{9} + 63 x^{8} - 34 x^{7} - x^{6} + 23 x^{5} - 35 x^{4} + 16 x^{3} - x^{2} + 2 x + 1$ |
$14$ |
[6,4] |
$5^{7}\cdot 256493^{2}$ |
$2$ |
$13.2498229798$ |
$1132.459712307683$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$9$ |
$246.201680597$ |
| 14.6.5527623146930176.1 |
$x^{14} - 2 x^{13} - x^{12} + 8 x^{11} - 11 x^{10} + 17 x^{8} - 22 x^{7} + 6 x^{6} + 12 x^{5} - 15 x^{4} + 6 x^{3} + x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$2^{21}\cdot 2635776113$ |
$2$ |
$13.318859282$ |
|
|
|
✓ |
$S_7\wr C_2$ (as 14T61) |
trivial |
$2$ |
$9$ |
$256.335826938$ |
| 14.6.6141202371198976.1 |
$x^{14} - 4 x^{12} + 7 x^{10} - 9 x^{8} + 5 x^{6} + 3 x^{4} - x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 71^{2}\cdot 8623^{2}$ |
$3$ |
$13.4193779995$ |
|
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$271.085819047$ |
| 14.6.6141202371198976.2 |
$x^{14} - 2 x^{12} + 2 x^{10} - 3 x^{8} + x^{6} - 3 x^{4} + 6 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 71^{2}\cdot 8623^{2}$ |
$3$ |
$13.4193779995$ |
|
|
|
? |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$271.426402973$ |
| 14.6.6891694285133633.1 |
$x^{14} - 2 x^{13} + x^{12} - x^{11} - x^{10} + 4 x^{9} - 5 x^{8} + 7 x^{7} - 5 x^{6} + 4 x^{5} - x^{4} - x^{3} + x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$17\cdot 71^{2}\cdot 283583^{2}$ |
$3$ |
$13.5303490438$ |
$18500.937300580204$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$283.702321595$ |
| 14.6.7210411578427093.1 |
$x^{14} - 2 x^{13} - 7 x^{12} + 14 x^{11} + 13 x^{10} - 35 x^{9} + 2 x^{8} + 41 x^{7} - 14 x^{6} - 13 x^{5} + 10 x^{4} - 7 x^{3} - 4 x^{2} + x - 1$ |
$14$ |
[6,4] |
$101^{2}\cdot 757\cdot 30557^{2}$ |
$3$ |
$13.5741121343$ |
$48335.25161825477$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$284.424041147$ |
| 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 |
$2$ |
$9$ |
$328.848475303$ |
| 14.6.8857465265197237.1 |
$x^{14} - x^{13} - 5 x^{12} + 6 x^{11} + 6 x^{10} - 9 x^{9} - x^{8} + 7 x^{7} + x^{6} - 9 x^{5} - 6 x^{4} + 6 x^{3} + 5 x^{2} - x - 1$ |
$14$ |
[6,4] |
$13^{7}\cdot 109^{4}$ |
$2$ |
$13.7750610633$ |
$37.64306044943742$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$2$ |
$9$ |
$341.120812559$ |
| 14.6.8857465265197237.2 |
$x^{14} - 6 x^{12} - 3 x^{11} + 9 x^{10} + 16 x^{9} + 8 x^{8} - 23 x^{7} - 31 x^{6} - 14 x^{5} - x^{4} + 12 x^{3} + 10 x^{2} + 4 x + 1$ |
$14$ |
[6,4] |
$13^{7}\cdot 109^{4}$ |
$2$ |
$13.7750610633$ |
$37.64306044943742$ |
|
|
? |
$\GL(3,2) \times C_2$ (as 14T19) |
trivial |
$2$ |
$9$ |
$341.120812559$ |
| 14.6.10242685405059409.1 |
$x^{14} - x^{13} - x^{12} - x^{10} + x^{9} + x^{8} + x^{7} + x^{6} + x^{5} - x^{4} - x^{2} - x + 1$ |
$14$ |
[6,4] |
$101206153^{2}$ |
$1$ |
$13.9187741574$ |
$10060.126887867767$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$375.168585671$ |
| 14.6.10939833968412257.1 |
$x^{14} - 7 x^{12} - 8 x^{11} + 2 x^{10} + 8 x^{9} - 9 x^{7} + 8 x^{5} + 2 x^{4} - 8 x^{3} - 7 x^{2} + 1$ |
$14$ |
[6,4] |
$17^{3}\cdot 23^{2}\cdot 64879^{2}$ |
$3$ |
$13.9843931062$ |
$10227.104244350854$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$388.483538289$ |
| 14.6.17478416123933521.1 |
$x^{14} - x^{13} - 2 x^{12} + 4 x^{11} - 2 x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 3 x^{6} - 2 x^{5} - 2 x^{4} + 4 x^{3} - 2 x^{2} - x + 1$ |
$14$ |
[6,4] |
$59^{2}\cdot 2240779^{2}$ |
$2$ |
$14.460347164$ |
$11498.085101441891$ |
|
|
✓ |
$C_2^6.S_7$ (as 14T55) |
trivial |
$2$ |
$9$ |
$509.832641798$ |
| 14.6.18390538601343981.1 |
$x^{14} - 5 x^{13} + 10 x^{12} - 7 x^{11} - 10 x^{10} + 27 x^{9} - 23 x^{8} - 2 x^{7} + 23 x^{6} - 18 x^{5} + 2 x^{4} + 7 x^{3} - 3 x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$3^{2}\cdot 109\cdot 877^{2}\cdot 4937^{2}$ |
$4$ |
$14.5129849977$ |
$37627.48892764437$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$582.255636584$ |
| 14.6.19318215364245661.1 |
$x^{14} - 6 x^{12} - x^{11} + 14 x^{10} + 4 x^{9} - 20 x^{8} - 5 x^{7} + 20 x^{6} + 4 x^{5} - 14 x^{4} - x^{3} + 6 x^{2} - 1$ |
$14$ |
[6,4] |
$97^{2}\cdot 6949\cdot 17189^{2}$ |
$3$ |
$14.5640901125$ |
$107639.66284321036$ |
|
|
✓ |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$495.607558654$ |
| 14.6.29283534866328125.1 |
$x^{14} - x^{13} + 2 x^{12} + x^{11} - 6 x^{10} + 7 x^{9} - 14 x^{8} - 36 x^{7} - 24 x^{6} - 12 x^{5} + 2 x^{4} + 5 x^{3} + 4 x^{2} + x - 1$ |
$14$ |
[6,4] |
$5^{7}\cdot 71^{2}\cdot 8623^{2}$ |
$3$ |
$15.0033207114$ |
$1749.6185298515788$ |
|
|
? |
$S_7\times C_2$ (as 14T49) |
trivial |
$2$ |
$9$ |
$647.937455607$ |
| 14.6.30855440523242953.1 |
$x^{14} - 5 x^{13} + 8 x^{12} - 7 x^{11} + 8 x^{10} - 14 x^{9} + 36 x^{8} - 37 x^{7} + 21 x^{6} - 3 x^{5} - 25 x^{4} + 28 x^{3} - 17 x^{2} + 4 x + 1$ |
$14$ |
[6,4] |
$23^{3}\cdot 239^{3}\cdot 431^{2}$ |
$3$ |
$15.0594603997$ |
$3370.803704734697$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$638.870676904$ |
| 14.6.47664237191102464.1 |
$x^{14} + 2 x^{12} + 3 x^{10} + 3 x^{8} + 3 x^{6} - 16 x^{4} + 9 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{18}\cdot 653^{4}$ |
$2$ |
$15.5345785271$ |
$121.5553507652958$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$9$ |
$1643.05063901$ |
| 14.6.47899656265729801.1 |
$x^{14} - x^{13} - 11 x^{12} + 18 x^{11} + 40 x^{10} - 96 x^{9} - 34 x^{8} + 206 x^{7} - 83 x^{6} - 157 x^{5} + 138 x^{4} - 6 x^{3} - 20 x^{2} + 7 x - 1$ |
$14$ |
[6,4] |
$13^{4}\cdot 109^{6}$ |
$2$ |
$15.5400465025$ |
$121.63023605636161$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$9$ |
$831.904276511$ |
| 14.6.49272214646324061.1 |
$x^{14} - x^{13} - 3 x^{12} + 4 x^{11} - 11 x^{9} + 24 x^{8} - 24 x^{7} + 23 x^{6} + 5 x^{5} - 72 x^{4} + 106 x^{3} - 71 x^{2} + 19 x - 1$ |
$14$ |
[6,4] |
$3^{3}\cdot 7^{3}\cdot 107^{2}\cdot 21557^{2}$ |
$4$ |
$15.5714379757$ |
$6959.782970754189$ |
|
|
? |
$C_2^7.S_7$ (as 14T57) |
trivial |
$2$ |
$9$ |
$871.04631009$ |
| 14.6.66054033183883264.1 |
$x^{14} + 2 x^{10} - 5 x^{8} + 2 x^{6} - 4 x^{4} + 4 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 13^{4}\cdot 109^{4}$ |
$3$ |
$15.900888105$ |
|
|
|
✓ |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$9$ |
$1198.16208072$ |
| 14.6.66054033183883264.2 |
$x^{14} - 6 x^{12} + 14 x^{10} - 19 x^{8} + 22 x^{6} - 20 x^{4} + 8 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 13^{4}\cdot 109^{4}$ |
$3$ |
$15.900888105$ |
$126.61565836444323$ |
|
|
✓ |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$9$ |
$1024.83492403$ |
| 14.6.120844706781744833.1 |
$x^{14} - 7 x^{13} + 20 x^{12} - 19 x^{11} - 36 x^{10} + 112 x^{9} - 84 x^{8} - 65 x^{7} + 167 x^{6} - 113 x^{5} - 11 x^{4} + 80 x^{3} - 55 x^{2} + 12 x - 1$ |
$14$ |
[6,4] |
$17^{7}\cdot 131^{4}$ |
$2$ |
$16.6019505744$ |
$106.35028493145434$ |
|
|
? |
$A_7\times C_2$ (as 14T47) |
trivial |
$2$ |
$9$ |
$1409.11802093$ |
| 14.6.125838900010287373.1 |
$x^{14} - 6 x^{13} + 11 x^{12} - 27 x^{10} + 45 x^{9} - 29 x^{8} - 28 x^{7} + 78 x^{6} - 31 x^{5} - 72 x^{4} + 55 x^{3} + 17 x^{2} - 20 x - 1$ |
$14$ |
[6,4] |
$7^{4}\cdot 13^{5}\cdot 109^{4}$ |
$3$ |
$16.6500426746$ |
$99.5941765365827$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$9$ |
$1716.18339923$ |
| 14.6.128900683133295021.1 |
$x^{14} - 5 x^{13} + 8 x^{12} + 6 x^{11} - 33 x^{10} + 18 x^{9} + 47 x^{8} - 58 x^{7} - 20 x^{6} + 36 x^{5} + 36 x^{4} - 12 x^{3} - 44 x^{2} + 22 x - 1$ |
$14$ |
[6,4] |
$3^{14}\cdot 13\cdot 73^{5}$ |
$3$ |
$16.6786573707$ |
$592.1191889365273$ |
|
|
? |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$9$ |
$1645.67139059$ |
| 14.6.155277354533203125.1 |
$x^{14} - 10 x^{12} + 41 x^{10} - 90 x^{8} + 114 x^{6} - 85 x^{4} + 35 x^{2} - 5$ |
$14$ |
[6,4] |
$3^{8}\cdot 5^{9}\cdot 59^{4}$ |
$3$ |
$16.9019298365$ |
$70.72908067166546$ |
|
|
? |
$A_7\times C_2$ (as 14T47) |
trivial |
$2$ |
$9$ |
$2122.32991912$ |
| 14.6.159781013894463488.1 |
$x^{14} - 4 x^{13} + x^{12} + 14 x^{11} - 8 x^{10} - 26 x^{9} + 70 x^{7} - 50 x^{6} + 10 x^{4} - 12 x^{3} + 5 x^{2} + 2 x - 1$ |
$14$ |
[6,4] |
$2^{19}\cdot 743^{4}$ |
$2$ |
$16.9364828472$ |
$115.51549173293522$ |
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$9$ |
$3589.82311534$ |
| 14.6.184512113393005445.1 |
$x^{14} - 5 x^{13} + 4 x^{12} + 8 x^{11} - 9 x^{10} - 2 x^{9} + 5 x^{8} - 5 x^{7} + 5 x^{6} - 2 x^{5} - 9 x^{4} + 8 x^{3} + 4 x^{2} - 5 x + 1$ |
$14$ |
[6,4] |
$5\cdot 577^{6}$ |
$2$ |
$17.1114767555$ |
$53.71219600798314$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$9$ |
$2393.48640521$ |
| 14.6.213110489907200000.1 |
$x^{14} - 4 x^{13} - 3 x^{12} + 28 x^{11} - 11 x^{10} - 72 x^{9} + 63 x^{8} + 86 x^{7} - 143 x^{6} + 8 x^{5} + 107 x^{4} - 66 x^{3} - 7 x^{2} + 20 x - 5$ |
$14$ |
[6,4] |
$2^{18}\cdot 5^{5}\cdot 127^{4}$ |
$3$ |
$17.288506902976334$ |
|
|
|
? |
$C_2^4:\GL(3,2)$ (as 14T43) |
trivial |
$2$ |
$9$ |
$3835.4810492241654$ |
| 14.6.229860869217416009.1 |
$x^{14} - x^{13} + 2 x^{12} - 3 x^{11} - 17 x^{10} + 83 x^{9} - 189 x^{8} + 307 x^{7} - 407 x^{6} + 336 x^{5} + 76 x^{4} - 619 x^{3} + 702 x^{2} - 313 x + 43$ |
$14$ |
[6,4] |
$593^{3}\cdot 1033^{3}$ |
$2$ |
$17.3821961348$ |
$3862.2571050632546$ |
|
|
? |
$C_2^6.S_7$ (as 14T54) |
trivial |
$2$ |
$9$ |
$1916.19455518$ |
| 14.6.247267157529083904.1 |
$x^{14} - 5 x^{12} + 9 x^{10} - 10 x^{8} + 11 x^{6} - 9 x^{4} + 5 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 3^{12}\cdot 73^{4}$ |
$3$ |
$17.4730625328$ |
|
|
|
✓ |
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$9$ |
$1994.2944612$ |
| 14.6.247267157529083904.2 |
$x^{14} + 4 x^{12} + 9 x^{10} + 5 x^{8} - 7 x^{6} - 21 x^{4} + 11 x^{2} - 1$ |
$14$ |
[6,4] |
$2^{14}\cdot 3^{12}\cdot 73^{4}$ |
$3$ |
$17.4730625328$ |
|
|
|
? |
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$9$ |
$2245.66070516$ |
| 14.6.353814783205469041.1 |
$x^{14} - x^{13} - 6 x^{12} + 6 x^{11} + 21 x^{10} - 17 x^{9} - 41 x^{8} + 33 x^{7} + 27 x^{6} - 48 x^{5} - 14 x^{4} + 67 x^{3} + 13 x^{2} - 23 x - 1$ |
$14$ |
[6,4] |
$29^{12}$ |
$1$ |
$17.926025018$ |
$17.9260250179852$ |
|
|
? |
$F_8$ (as 14T6) |
trivial |
$2$ |
$9$ |
$2704.14349754$ |
| 14.6.449152684508839936.1 |
$x^{14} - 7 x^{13} + 23 x^{12} - 47 x^{11} + 54 x^{10} - 6 x^{9} - 81 x^{8} + 129 x^{7} - 78 x^{6} - 26 x^{5} + 71 x^{4} - 43 x^{3} + x^{2} + 9 x - 4$ |
$14$ |
[6,4] |
$2^{20}\cdot 809^{4}$ |
$2$ |
$18.2341400313$ |
$127.70441679847741$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$9$ |
$11443.5024238$ |
| 14.6.449152684508839936.2 |
$x^{14} - 7 x^{13} + 27 x^{12} - 71 x^{11} + 123 x^{10} - 131 x^{9} + 11 x^{8} + 247 x^{7} - 533 x^{6} + 665 x^{5} - 559 x^{4} + 321 x^{3} - 118 x^{2} + 24 x - 2$ |
$14$ |
[6,4] |
$2^{20}\cdot 809^{4}$ |
$2$ |
$18.2341400313$ |
$127.70441679847741$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$9$ |
$10713.1476481$ |
| 14.6.741801472587251712.1 |
$x^{14} - 3 x^{12} - 3 x^{10} + 14 x^{8} - 3 x^{6} - 15 x^{4} + 11 x^{2} - 3$ |
$14$ |
[6,4] |
$2^{14}\cdot 3^{13}\cdot 73^{4}$ |
$3$ |
$18.8994480419$ |
|
|
|
✓ |
$C_2^7.A_7$ (as 14T56) |
trivial |
$2$ |
$9$ |
$4966.61589743$ |
| 14.6.922560566965027225.1 |
$x^{14} - 3 x^{13} - 4 x^{12} + 5 x^{11} + 10 x^{10} + 5 x^{9} - x^{8} - x^{7} - x^{6} + 5 x^{5} + 10 x^{4} + 5 x^{3} - 4 x^{2} - 3 x + 1$ |
$14$ |
[6,4] |
$5^{2}\cdot 577^{6}$ |
$2$ |
$19.1961405262$ |
$53.71219600798314$ |
|
|
? |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$9$ |
$6896.67688107$ |
| 14.6.922560566965027225.2 |
$x^{14} - x^{13} - 5 x^{12} - 2 x^{11} + 9 x^{10} + 13 x^{9} + x^{8} - 7 x^{7} + x^{6} + 13 x^{5} + 9 x^{4} - 2 x^{3} - 5 x^{2} - x + 1$ |
$14$ |
[6,4] |
$5^{2}\cdot 577^{6}$ |
$2$ |
$19.1961405262$ |
$53.71219600798314$ |
|
|
? |
$C_2^6:D_7$ (as 14T28) |
trivial |
$2$ |
$9$ |
$5423.89330462$ |
| 14.6.976955753387739841.1 |
$x^{14} - 4 x^{13} + x^{12} + 8 x^{11} - 11 x^{9} - 2 x^{8} + 13 x^{7} - 2 x^{6} - 11 x^{5} + 8 x^{3} + x^{2} - 4 x + 1$ |
$14$ |
[6,4] |
$149^{4}\cdot 211^{4}$ |
$2$ |
$19.2748525267$ |
$996.1218866790381$ |
|
|
|
$C_2^6:A_7$ (as 14T53) |
trivial |
$2$ |
$9$ |
$6932.2995522$ |
| 14.6.119...576.1 |
$x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 79 x^{10} - 21 x^{9} - 159 x^{8} + 399 x^{7} - 483 x^{6} + 313 x^{5} - 39 x^{4} - 109 x^{3} + 86 x^{2} - 26 x - 2$ |
$14$ |
[6,4] |
$2^{12}\cdot 4129^{4}$ |
$2$ |
$19.5489865825$ |
$144.25275061524383$ |
|
|
? |
$C_2^3:\GL(3,2)$ (as 14T34) |
trivial |
$2$ |
$9$ |
$18313.2784348$ |
| 14.6.119...576.2 |
$x^{14} - 2 x^{13} - 4 x^{12} + 2 x^{11} + 9 x^{10} + 8 x^{9} - 3 x^{8} - 6 x^{7} - 3 x^{6} + 8 x^{5} + 9 x^{4} + 2 x^{3} - 4 x^{2} - 2 x + 1$ |
$14$ |
[6,4] |
$2^{12}\cdot 4129^{4}$ |
$2$ |
$19.5489865825$ |
$144.25275061524383$ |
|
|
? |
$C_2^6:\GL(3,2)$ (as 14T50) |
trivial |
$2$ |
$9$ |
$18567.8301047$ |
| 14.6.151...649.1 |
$x^{14} - 4 x^{13} - x^{12} + 7 x^{11} - 5 x^{10} + 8 x^{9} + 15 x^{8} - x^{7} + 15 x^{6} + 8 x^{5} - 5 x^{4} + 7 x^{3} - x^{2} - 4 x + 1$ |
$14$ |
[6,4] |
$41\cdot 577^{6}$ |
$2$ |
$19.8865712107$ |
$153.8083222715858$ |
|
|
? |
$C_2\wr D_7$ (as 14T38) |
trivial |
$2$ |
$9$ |
$9121.85047636$ |
| 14.6.330...776.1 |
$x^{14} - 7 x^{13} + 27 x^{12} - 71 x^{11} + 119 x^{10} - 111 x^{9} - x^{8} + 175 x^{7} - 256 x^{6} + 170 x^{5} - 8 x^{4} - 80 x^{3} + 48 x^{2} - 6 x - 2$ |
$14$ |
[6,4] |
$2^{12}\cdot 73^{8}$ |
$2$ |
$21.0272089633$ |
$31.640326082417378$ |
|
|
? |
$F_8:C_3$ (as 14T11) |
trivial |
$2$ |
$9$ |
$35386.1829553$ |
| 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 |
$2$ |
$9$ |
$49997.3109674$ |
