| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 8.0.33973862400.3 |
$x^{8} + 4 x^{6} + 12 x^{4} - 20 x^{2} + 25$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{2}$ |
$3$ |
$20.7201605129$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$34.5566764519$ |
$0$ |
$5$ |
| 8.0.44845498368.9 |
$x^{8} - 8 x^{6} + 4 x^{4} + 48 x^{2} + 132$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{5}\cdot 11$ |
$3$ |
$21.4518552011$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$120.876053688$ |
$0$ |
$11$ |
| 8.0.94371840000.8 |
$x^{8} - 20 x^{6} + 156 x^{4} - 540 x^{2} + 729$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 5^{4}$ |
$3$ |
$23.5426476511$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$190.862490239$ |
$0$ |
$5$ |
| 8.0.164433494016.16 |
$x^{8} - 4 x^{6} + 12 x^{4} - 12 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 11^{2}$ |
$3$ |
$25.2347371642$ |
$60.48215691909035$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$324.21479197$ |
$0$ |
$11$ |
| 8.0.199330103296.5 |
$x^{8} - 4 x^{6} - 6 x^{4} - 32 x^{3} + 36 x^{2} + 152 x + 102$ |
$8$ |
(0, 4) |
$2^{24}\cdot 109^{2}$ |
$2$ |
$25.84917052$ |
$83.5224520712844$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$178.128846156$ |
$0$ |
$109$ |
| 8.0.599298932736.3 |
$x^{8} - 12 x^{6} + 12 x^{4} + 252 x^{2} + 441$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{6}\cdot 7^{2}$ |
$3$ |
$29.6623420085$ |
$48.24807027615272$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$153.913624029$ |
$0$ |
$7$ |
| 8.0.705062502400.11 |
$x^{8} + 4 x^{6} + 44 x^{4} - 20 x^{2} + 25$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{2}\cdot 41^{2}$ |
$3$ |
$30.2711173902$ |
$114.54256850621083$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$1662.83683097$ |
$0$ |
$41$ |
| 8.0.741838159872.22 |
$x^{8} - 4 x^{6} + 92 x^{4} - 204 x^{2} + 153$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 17^{3}$ |
$3$ |
$30.4641206151$ |
$116.00783060645537$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$233.583358605$ |
$0$ |
$17$ |
| 8.0.741838159872.26 |
$x^{8} + 20 x^{6} + 124 x^{4} + 204 x^{2} + 153$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 17^{3}$ |
$3$ |
$30.4641206151$ |
$116.00783060645537$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$135.739905799$ |
$0$ |
$17$ |
| 8.4.849346560000.1 |
$x^{8} - 4 x^{6} - 20 x^{4} - 12 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 5^{4}$ |
$3$ |
$30.9838667697$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$776.436876461$ |
$2$ |
$5$ |
| 8.0.1142880731136.4 |
$x^{8} - 4 x^{6} + 108 x^{4} + 116 x^{2} + 841$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 29^{2}$ |
$3$ |
$32.1551184568$ |
$74.61903242471053$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$1074.59596464$ |
$0$ |
$29$ |
| 8.4.1479901446144.16 |
$x^{8} + 8 x^{6} - 36 x^{4} - 16 x^{2} + 4$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 11^{2}$ |
$3$ |
$33.2107818055$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$2519.66862691$ |
$2$ |
$11$ |
| 8.0.1479901446144.17 |
$x^{8} - 4 x^{6} + 12 x^{4} - 28 x^{2} + 25$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{6}\cdot 11^{2}$ |
$3$ |
$33.2107818055$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$3$ |
$217.127039845$ |
$0$ |
$11$ |
| 8.0.2359296000000.5 |
$x^{8} + 20 x^{6} + 60 x^{4} - 900 x^{2} + 2025$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 5^{6}$ |
$3$ |
$35.2044694717$ |
$46.331687411530766$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$2041.80500287$ |
$0$ |
$5$ |
| 8.0.2751882854400.12 |
$x^{8} - 16 x^{5} + 24 x^{4} - 32 x^{2} + 96$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{8}\cdot 5^{2}$ |
$3$ |
$35.8883707493$ |
$84.27746302583955$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$3$ |
$314.797331506$ |
$0$ |
$5$ |
| 8.0.3262849744896.36 |
$x^{8} + 16 x^{6} - 40 x^{5} + 30 x^{4} - 112 x^{3} + 112 x^{2} + 120 x + 25$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 7^{4}$ |
$3$ |
$36.6606055596$ |
$66.73130551641822$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$757.404944227$ |
$0$ |
$7$ |
| 8.0.4624220160000.12 |
$x^{8} - 12 x^{6} + 44 x^{4} + 252 x^{2} + 441$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 5^{4}\cdot 7^{2}$ |
$4$ |
$38.2939188695$ |
$81.97560612767678$ |
|
|
|
$Q_8:C_2^2$ (as 8T22) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$1489.65524818$ |
$0$ |
$7$ |
| 8.0.5426305302528.12 |
$x^{8} + 20 x^{6} + 220 x^{4} + 1452 x^{2} + 3993$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{5}\cdot 11^{3}$ |
$3$ |
$39.0672667713$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$268.257415962$ |
$0$ |
$11$ |
| 8.0.12845056000000.7 |
$x^{8} + 60 x^{6} + 1420 x^{4} + 2100 x^{2} + 1225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{6}\cdot 7^{2}$ |
$3$ |
$43.5102922375$ |
$70.7728215461241$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$2666.89539236$ |
$0$ |
$7$ |
| 8.0.12845056000000.18 |
$x^{8} - 12 x^{6} - 56 x^{5} + 10 x^{4} + 336 x^{3} + 940 x^{2} + 728 x + 294$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{6}\cdot 7^{2}$ |
$3$ |
$43.5102922375$ |
$80.93083302176507$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$3$ |
$548.052972614$ |
$0$ |
$7$ |
| 8.4.17626562560000.7 |
$x^{8} - 12 x^{6} + 12 x^{4} + 44 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 5^{4}\cdot 41^{2}$ |
$3$ |
$45.2658784956$ |
$114.54256850621083$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$23076.042129$ |
$3$ |
$41$ |
| 8.0.17626562560000.27 |
$x^{8} - 4 x^{6} + 28 x^{4} - 28 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{4}\cdot 41^{2}$ |
$3$ |
$45.2658784956$ |
$114.54256850621083$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$6773.02008441$ |
$0$ |
$41$ |
| 8.0.19896452775936.60 |
$x^{8} - 12 x^{6} + 300 x^{4} - 2772 x^{2} + 9801$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 11^{4}$ |
$3$ |
$45.9565011723$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$719.522350848$ |
$0$ |
$11$ |
| 8.0.21233664000000.16 |
$x^{8} + 20 x^{6} + 300 x^{4} + 1100 x^{2} + 1225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{6}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4, 4]$ |
$[4, 4]$ |
$2$ |
$3$ |
$1734.19299023$ |
$0$ |
$5$ |
| 8.4.21233664000000.24 |
$x^{8} + 20 x^{6} - 180 x^{4} - 100 x^{2} + 25$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 5^{6}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[2, 2, 4]$ |
$2$ |
$5$ |
$8306.15118131$ |
$2$ |
$5$ |
| 8.4.29365647704064.3 |
$x^{8} - 4 x^{6} - 6 x^{4} - 28 x^{2} - 168 x - 122$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 7^{4}$ |
$3$ |
$48.2480702762$ |
$66.73130551641822$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$9898.97670849$ |
$2$ |
$7$ |
| 8.4.29365647704064.37 |
$x^{8} + 12 x^{6} - 84 x^{4} + 36 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 7^{4}$ |
$3$ |
$48.2480702762$ |
$48.24807027615272$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$3408.49796275$ |
$2$ |
$7$ |
| 8.0.29365647704064.39 |
$x^{8} + 36 x^{6} + 588 x^{4} + 3996 x^{2} + 9801$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{6}\cdot 7^{4}$ |
$3$ |
$48.2480702762$ |
$48.24807027615272$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$761.204677867$ |
$0$ |
$7$ |
| 8.0.31719424000000.13 |
$x^{8} + 20 x^{6} + 380 x^{4} - 7700 x^{2} + 27225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{6}\cdot 11^{2}$ |
$3$ |
$48.7153314252$ |
$88.71842695178528$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$3018.02780905$ |
$0$ |
$11$ |
| 8.0.41512352088064.22 |
$x^{8} - 12 x^{6} + 252 x^{4} + 156 x^{2} + 169$ |
$8$ |
(0, 4) |
$2^{24}\cdot 11^{4}\cdot 13^{2}$ |
$3$ |
$50.3816246059$ |
$95.66608594481119$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$1646.3396101$ |
$0$ |
$13$ |
| 8.0.41617981440000.19 |
$x^{8} + 12 x^{6} + 76 x^{4} + 420 x^{2} + 1225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{4}\cdot 7^{2}$ |
$4$ |
$50.3976314783$ |
$81.97560612767678$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
$[4, 4]$ |
$[4, 4]$ |
$2$ |
$3$ |
$1265.22840606$ |
$0$ |
$7$ |
| 8.8.48836747722752.3 |
$x^{8} - 24 x^{6} + 132 x^{4} - 240 x^{2} + 132$ |
$8$ |
(8, 0) |
$2^{24}\cdot 3^{7}\cdot 11^{3}$ |
$3$ |
$51.4154145548$ |
$69.38529314118728$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[2]$ |
$[2, 2, 2, 4]$ |
$2$ |
$7$ |
$24663.1436461$ |
$4$ |
$11$ |
| 8.0.48836747722752.14 |
$x^{8} + 24 x^{6} + 156 x^{4} + 336 x^{2} + 132$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{7}\cdot 11^{3}$ |
$3$ |
$51.4154145548$ |
$69.38529314118728$ |
✓ |
|
? |
$QD_{16}$ (as 8T8) |
$[2, 4, 12]$ |
$[2, 4, 12]$ |
$2$ |
$3$ |
$109.808267051$ |
$0$ |
$11$ |
| 8.8.57357962838016.1 |
$x^{8} - 12 x^{6} + 44 x^{4} - 52 x^{2} + 9$ |
$8$ |
(8, 0) |
$2^{24}\cdot 43^{4}$ |
$2$ |
$52.4595081944$ |
$98.19038375617168$ |
|
|
? |
$\SL(2,3)$ (as 8T12) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$50400.1361726$ |
$7$ |
$43$ |
| 8.0.57357962838016.2 |
$x^{8} + 20 x^{6} + 140 x^{4} + 396 x^{2} + 361$ |
$8$ |
(0, 4) |
$2^{24}\cdot 43^{4}$ |
$2$ |
$52.4595081944$ |
$98.19038375617168$ |
✓ |
|
? |
$\SL(2,3)$ (as 8T12) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
$3$ |
$326.897866293$ |
$0$ |
$43$ |
| 8.0.57980062007296.18 |
$x^{8} - 52 x^{6} + 1148 x^{4} - 572 x^{2} + 121$ |
$8$ |
(0, 4) |
$2^{24}\cdot 11^{2}\cdot 13^{4}$ |
$3$ |
$52.5302943603$ |
$95.66608594481119$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$5087.57153457$ |
$0$ |
$13$ |
| 8.2.80611821748224.24 |
$x^{8} - 12 x^{6} + 60 x^{4} - 84 x^{2} - 39$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{7}\cdot 13^{3}$ |
$3$ |
$54.7393759511$ |
$75.42976610171296$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[12]$ |
$[2, 12]$ |
$2$ |
$4$ |
$982.856204509$ |
$1$ |
$13$ |
| 8.2.80611821748224.26 |
$x^{8} + 12 x^{6} + 12 x^{4} - 12 x^{2} - 39$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{7}\cdot 13^{3}$ |
$3$ |
$54.7393759511$ |
$75.42976610171296$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$2828.80004454$ |
$1$ |
$13$ |
| 8.0.81571243622400.18 |
$x^{8} - 12 x^{6} + 92 x^{4} - 420 x^{2} + 1225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{2}\cdot 7^{4}$ |
$4$ |
$54.8203918424$ |
$81.97560612767678$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$2785.3190651$ |
$0$ |
$7$ |
| 8.0.81571243622400.85 |
$x^{8} - 28 x^{6} + 588 x^{4} + 6860 x^{2} + 60025$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{2}\cdot 7^{4}$ |
$4$ |
$54.8203918424$ |
$81.97560612767678$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$3734.55088962$ |
$0$ |
$7$ |
| 8.0.81571243622400.90 |
$x^{8} + 12 x^{6} + 124 x^{4} - 60 x^{2} + 25$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{2}\cdot 7^{4}$ |
$4$ |
$54.8203918424$ |
$81.97560612767678$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$2667.78933438$ |
$0$ |
$7$ |
| 8.0.106795854987264.20 |
$x^{8} + 44 x^{6} + 780 x^{4} + 7092 x^{2} + 29241$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 29^{4}$ |
$3$ |
$56.6982036651$ |
$74.61903242471053$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$17260.3173835$ |
$0$ |
$29$ |
| 8.2.148809594175488.22 |
$x^{8} - 24 x^{6} + 252 x^{4} - 720 x^{2} - 828$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{6}\cdot 23^{3}$ |
$3$ |
$59.0988277479$ |
$87.45705441086021$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$5797.01681927$ |
$1$ |
$23$ |
| 8.2.148809594175488.23 |
$x^{8} + 24 x^{6} + 36 x^{4} - 144 x^{2} - 828$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{6}\cdot 23^{3}$ |
$3$ |
$59.0988277479$ |
$87.45705441086021$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$2897.647331$ |
$1$ |
$23$ |
| 8.4.179068074983424.29 |
$x^{8} - 20 x^{6} + 12 x^{4} + 1012 x^{2} + 121$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$60.4821569191$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 4]$ |
$[2, 4, 4]$ |
$2$ |
$5$ |
$2795.92100468$ |
$2$ |
$11$ |
| 8.0.179068074983424.37 |
$x^{8} - 36 x^{6} + 588 x^{4} - 5148 x^{2} + 27225$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$60.4821569191$ |
$60.48215691909035$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 2, 8]$ |
$[2, 2, 8]$ |
$2$ |
$3$ |
$481.864992008$ |
$0$ |
$11$ |
| 8.0.214391228203008.18 |
$x^{8} - 68 x^{6} + 1564 x^{4} - 3468 x^{2} + 44217$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 17^{5}$ |
$3$ |
$61.858712498$ |
$116.00783060645537$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$8306.12025528$ |
$0$ |
$17$ |
| 8.0.214391228203008.20 |
$x^{8} + 68 x^{6} + 2108 x^{4} + 17340 x^{2} + 44217$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 17^{5}$ |
$3$ |
$61.858712498$ |
$116.00783060645537$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$2507.99296528$ |
$0$ |
$17$ |
| 8.4.226586787840000.53 |
$x^{8} + 12 x^{6} - 68 x^{4} - 204 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{2}\cdot 5^{4}\cdot 7^{4}$ |
$4$ |
$62.2879908887$ |
$81.97560612767678$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
$[2]$ |
$[2, 4]$ |
$2$ |
$5$ |
$25100.7828489$ |
$2$ |
$7$ |
| 8.0.226586787840000.108 |
$x^{8} + 140 x^{6} + 7644 x^{4} + 185220 x^{2} + 1750329$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 5^{4}\cdot 7^{4}$ |
$4$ |
$62.2879908887$ |
$81.97560612767678$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$3$ |
$10313.284666$ |
$0$ |
$7$ |
