| 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 $p$ |
| 8.2.5754585088.2 |
$x^{8} + 4 x^{6} + 4 x^{4} - 4 x^{2} - 7$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}$ |
$2$ |
$16.5959360243$ |
$21.166010488516726$ |
|
|
✓ |
$QD_{16}$ (as 8T8) |
trivial |
$[2]$ |
$2$ |
$4$ |
$117.703504989$ |
$1$ |
$7$ |
| 8.8.12230590464.1 |
$x^{8} - 12 x^{6} + 36 x^{4} - 36 x^{2} + 9$ |
$8$ |
(8, 0) |
$2^{24}\cdot 3^{6}$ |
$2$ |
$18.2360564556$ |
$18.23605645563822$ |
|
✓ |
? |
$Q_8$ (as 8T5) |
trivial |
$[2]$ |
$2$ |
$7$ |
$356.934254411$ |
$7$ |
$3$ |
| 8.2.31255953408.7 |
$x^{8} + 12 x^{6} + 20 x^{4} - 60 x^{2} - 23$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{4}\cdot 23$ |
$3$ |
$20.5053220164$ |
$66.4529909033446$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$4$ |
$193.064627813$ |
$1$ |
$23$ |
| 8.4.33973862400.1 |
$x^{8} + 4 x^{6} - 28 x^{4} - 100 x^{2} + 25$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 5^{2}$ |
$3$ |
$20.7201605129$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
trivial |
$[2]$ |
$2$ |
$5$ |
$193.374629604$ |
$3$ |
$5$ |
| 8.4.73165438976.1 |
$x^{8} - 4 x^{6} + 36 x^{4} - 108 x^{2} + 89$ |
$8$ |
(4, 2) |
$2^{24}\cdot 7^{2}\cdot 89$ |
$3$ |
$22.805429080032148$ |
$199.67974358957895$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$5$ |
$495.84833163838005$ |
$3$ |
$89$ |
| 8.0.79876325376.5 |
$x^{8} - 4 x^{6} + 4 x^{4} + 36 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 23^{2}$ |
$3$ |
$23.0569713368$ |
$66.4529909033446$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$148.162922564$ |
$0$ |
$23$ |
| 8.0.94371840000.2 |
$x^{8} - 4 x^{6} + 20 x^{4} - 12 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 5^{4}$ |
$3$ |
$23.5426476511$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$128.103560355$ |
$0$ |
$5$ |
| 8.6.96485769216.2 |
$x^{8} - 4 x^{6} - 12 x^{4} + 68 x^{2} - 71$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 3^{4}\cdot 71$ |
$3$ |
$23.6079299552$ |
$116.75615615461139$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$773.95019887$ |
$5$ |
$71$ |
| 8.4.99472113664.1 |
$x^{8} + 12 x^{6} + 4 x^{4} - 220 x^{2} + 121$ |
$8$ |
(4, 2) |
$2^{24}\cdot 7^{2}\cdot 11^{2}$ |
$3$ |
$23.6980531013$ |
$70.19971509913698$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$[2]$ |
$2$ |
$5$ |
$536.345697587$ |
$3$ |
$11$ |
| 8.0.164433494016.5 |
$x^{8} + 20 x^{6} + 116 x^{4} + 220 x^{2} + 121$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 11^{2}$ |
$3$ |
$25.2347371642$ |
$45.95650117230423$ |
✓ |
|
? |
$Q_8:C_2$ (as 8T11) |
$[10]$ |
$[10]$ |
$2$ |
$3$ |
$21.2871886415$ |
$0$ |
$11$ |
| 8.2.204128387072.4 |
$x^{8} + 4 x^{6} - 28 x^{4} + 44 x^{2} - 23$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 23^{3}$ |
$2$ |
$25.9261437983$ |
$38.36665218650175$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[3]$ |
$[6]$ |
$2$ |
$4$ |
$211.206492089$ |
$1$ |
$23$ |
| 8.4.229663309824.3 |
$x^{8} - 4 x^{6} - 76 x^{4} + 52 x^{2} + 169$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 13^{2}$ |
$3$ |
$26.3109453439$ |
$49.95998398718719$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
trivial |
$[2]$ |
$2$ |
$5$ |
$671.758475613$ |
$3$ |
$13$ |
| 8.6.357405032448.1 |
$x^{8} - 20 x^{6} + 68 x^{4} + 68 x^{2} - 263$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 3^{4}\cdot 263$ |
$3$ |
$27.8064202989$ |
$224.71315048301022$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$1249.08935996$ |
$5$ |
$263$ |
| 8.6.422634848256.1 |
$x^{8} - 20 x^{6} + 116 x^{4} - 124 x^{2} - 311$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 3^{4}\cdot 311$ |
$3$ |
$28.3952477959$ |
$244.36038958882023$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$1548.8915422$ |
$5$ |
$311$ |
| 8.2.466121392128.6 |
$x^{8} + 12 x^{6} + 36 x^{4} - 108 x^{2} - 567$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{4}\cdot 7^{3}$ |
$3$ |
$28.7450043932$ |
$36.66060555964672$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$261.910930484$ |
$1$ |
$7$ |
| 8.6.487864664064.2 |
$x^{8} - 12 x^{6} + 20 x^{4} + 156 x^{2} - 359$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 3^{4}\cdot 359$ |
$3$ |
$28.909289648$ |
$262.541425302751$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$1744.4456866$ |
$5$ |
$359$ |
| 8.0.490582573056.4 |
$x^{8} + 28 x^{6} + 260 x^{4} + 836 x^{2} + 361$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 19^{2}$ |
$3$ |
$28.9293725677$ |
$60.398675482166$ |
✓ |
|
? |
$Q_8:C_2$ (as 8T11) |
$[3, 6]$ |
$[3, 6]$ |
$2$ |
$3$ |
$21.2871886415$ |
$0$ |
$19$ |
| 8.4.599298932736.4 |
$x^{8} + 12 x^{6} - 60 x^{4} - 252 x^{2} + 441$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 7^{2}$ |
$3$ |
$29.6623420085$ |
$48.24807027615272$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$519.166586342$ |
$3$ |
$7$ |
| 8.6.683554111488.4 |
$x^{8} - 12 x^{6} - 76 x^{4} + 492 x^{2} - 503$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 3^{4}\cdot 503$ |
$3$ |
$30.1541167842$ |
$310.7667935928805$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2191.34804467$ |
$5$ |
$503$ |
| 8.0.718886928384.6 |
$x^{8} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 23^{2}$ |
$3$ |
$30.3446807938$ |
$66.4529909033446$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$453.539463366$ |
$0$ |
$23$ |
| 8.0.718886928384.23 |
$x^{8} + 12 x^{6} + 52 x^{4} + 132 x^{2} + 169$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 23^{2}$ |
$3$ |
$30.3446807938$ |
$66.4529909033446$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$396.134738716$ |
$0$ |
$23$ |
| 8.4.761165512704.1 |
$x^{8} - 12 x^{6} + 52 x^{4} - 84 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{2}\cdot 71^{2}$ |
$3$ |
$30.5622193114$ |
$116.75615615461139$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$[2]$ |
$2$ |
$5$ |
$2221.57515969$ |
$3$ |
$71$ |
| 8.2.770527199232.7 |
$x^{8} - 8 x^{5} + 6 x^{4} - 72 x^{3} - 92 x^{2} - 168 x + 126$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{8}\cdot 7$ |
$3$ |
$30.6089545646$ |
$149.22946119887473$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1351.08470766$ |
$1$ |
$7$ |
| 8.4.804652056576.1 |
$x^{8} + 4 x^{6} - 28 x^{4} - 84 x^{2} + 9$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{2}\cdot 73^{2}$ |
$3$ |
$30.7752093342$ |
$118.38918869558994$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$[2]$ |
$2$ |
$5$ |
$1662.88388705$ |
$3$ |
$73$ |
| 8.0.849346560000.14 |
$x^{8} + 4 x^{6} + 20 x^{4} + 92 x^{2} + 169$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 5^{4}$ |
$3$ |
$30.9838667697$ |
$30.983866769659336$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$191.413718221$ |
$0$ |
$5$ |
| 8.6.930246295552.1 |
$x^{8} - 12 x^{6} + 36 x^{4} - 20 x^{2} - 7$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 7\cdot 89^{2}$ |
$3$ |
$31.3382502056$ |
$199.67974358957895$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2800.51878462$ |
$5$ |
$89$ |
| 8.0.990677827584.12 |
$x^{8} + 4 x^{6} - 32 x^{5} + 132 x^{4} - 272 x^{3} + 320 x^{2} - 192 x + 56$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{10}$ |
$2$ |
$31.5857763109$ |
$59.95318879120351$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[4]$ |
$[4]$ |
$2$ |
$3$ |
$243.369094865$ |
$0$ |
$3$ |
| 8.4.1142880731136.6 |
$x^{8} + 4 x^{6} - 220 x^{4} + 812 x^{2} + 841$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 29^{2}$ |
$3$ |
$32.1551184568$ |
$74.61903242471053$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
trivial |
$[2]$ |
$2$ |
$5$ |
$1225.67805984$ |
$3$ |
$29$ |
| 8.4.1186367275008.1 |
$x^{8} - 12 x^{6} - 204 x^{4} - 180 x^{2} + 873$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{6}\cdot 97$ |
$3$ |
$32.3055690086$ |
$179.60432689710672$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$689.4826912446332$ |
$3$ |
$97$ |
| 8.0.1268776960000.17 |
$x^{8} - 8 x^{6} + 140 x^{4} - 176 x^{2} + 484$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{4}\cdot 11^{2}$ |
$3$ |
$32.5779055943$ |
$59.329587896765304$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$1320.73963947$ |
$0$ |
$11$ |
| 8.2.1663075090432.16 |
$x^{8} - 28 x^{6} + 260 x^{4} - 68 x^{2} - 2023$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 17^{2}$ |
$3$ |
$33.6987647906$ |
$87.26969691708571$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$770.775718258$ |
$1$ |
$17$ |
| 8.2.1663075090432.20 |
$x^{8} - 12 x^{6} - 60 x^{4} + 748 x^{2} - 2023$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 17^{2}$ |
$3$ |
$33.6987647906$ |
$87.26969691708571$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$770.775718258$ |
$1$ |
$17$ |
| 8.4.1664719257600.8 |
$x^{8} + 12 x^{6} - 124 x^{4} - 1260 x^{2} + 1225$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$ |
$4$ |
$33.7029274449$ |
$81.97560612767678$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
trivial |
$[2, 2]$ |
$2$ |
$5$ |
$2582.20865637$ |
$2$ |
$7$ |
| 8.6.1719446536192.1 |
$x^{8} - 12 x^{6} + 20 x^{4} + 140 x^{2} - 343$ |
$8$ |
(6, 1) |
$-\,2^{24}\cdot 7\cdot 11^{4}$ |
$3$ |
$33.8394725053$ |
$70.19971509913698$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$[2]$ |
$2$ |
$6$ |
$4251.40591616$ |
$5$ |
$11$ |
| 8.4.1860408705024.4 |
$x^{8} - 4 x^{6} - 220 x^{4} + 148 x^{2} + 1369$ |
$8$ |
(4, 2) |
$2^{24}\cdot 3^{4}\cdot 37^{2}$ |
$3$ |
$34.174411565$ |
$84.2852300228219$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
trivial |
$[2]$ |
$2$ |
$5$ |
$1228.08473299$ |
$3$ |
$37$ |
| 8.0.2210716975104.2 |
$x^{8} + 20 x^{6} + 116 x^{4} + 204 x^{2} + 9$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 11^{4}$ |
$3$ |
$34.9193895784$ |
$45.95650117230423$ |
✓ |
|
? |
$Q_8:C_2$ (as 8T11) |
$[10]$ |
$[10]$ |
$2$ |
$3$ |
$126.131828435$ |
$0$ |
$11$ |
| 8.0.2512706863104.5 |
$x^{8} + 44 x^{6} + 644 x^{4} + 3268 x^{2} + 1849$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{4}\cdot 43^{2}$ |
$3$ |
$35.4827873294$ |
$90.86253353280438$ |
✓ |
|
? |
$Q_8:C_2$ (as 8T11) |
$[34]$ |
$[34]$ |
$2$ |
$3$ |
$21.2871886415$ |
$0$ |
$43$ |
| 8.2.3044175511552.13 |
$x^{8} + 28 x^{6} + 228 x^{4} - 828 x^{2} - 3703$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 23^{2}$ |
$3$ |
$36.3440826137$ |
$101.50862032359616$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$1125.58639394$ |
$1$ |
$23$ |
| 8.2.3044175511552.19 |
$x^{8} - 4 x^{6} - 156 x^{4} + 1380 x^{2} - 3703$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 23^{2}$ |
$3$ |
$36.3440826137$ |
$101.50862032359616$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$1125.58639394$ |
$1$ |
$23$ |
| 8.0.3534640644096.5 |
$x^{8} + 36 x^{6} + 420 x^{4} + 1836 x^{2} + 2601$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{6}\cdot 17^{2}$ |
$3$ |
$37.0291001549$ |
$75.1891869613232$ |
✓ |
|
? |
$Q_8:C_2$ (as 8T11) |
$[2, 26]$ |
$[2, 26]$ |
$2$ |
$3$ |
$21.2871886415$ |
$0$ |
$17$ |
| 8.2.3596615680000.6 |
$x^{8} - 20 x^{6} + 100 x^{4} + 500 x^{2} - 4375$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 5^{4}\cdot 7^{3}$ |
$3$ |
$37.1096411005$ |
$47.32863826479693$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[6]$ |
$[2, 6]$ |
$2$ |
$4$ |
$510.059190604$ |
$1$ |
$7$ |
| 8.0.3785359360000.6 |
$x^{8} - 24 x^{6} + 300 x^{4} - 912 x^{2} + 1444$ |
$8$ |
(0, 4) |
$2^{24}\cdot 5^{4}\cdot 19^{2}$ |
$3$ |
$37.3476593903$ |
$77.9743547584717$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$764.959443317$ |
$0$ |
$19$ |
| 8.0.4312566595584.3 |
$x^{8} - 4 x^{6} + 20 x^{4} + 228 x^{2} + 441$ |
$8$ |
(0, 4) |
$2^{24}\cdot 3^{2}\cdot 13^{4}$ |
$3$ |
$37.961378688$ |
$49.95998398718719$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$445.015215288$ |
$0$ |
$13$ |
| 8.2.4586471424000.2 |
$x^{8} - 12 x^{6} + 36 x^{4} + 60 x^{2} - 375$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{7}\cdot 5^{3}$ |
$3$ |
$38.2547031708$ |
$46.7795550927602$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$1726.56775367$ |
$1$ |
$5$ |
| 8.2.4586471424000.6 |
$x^{8} - 12 x^{6} + 36 x^{4} + 108 x^{2} - 135$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 3^{7}\cdot 5^{3}$ |
$3$ |
$38.2547031708$ |
$46.7795550927602$ |
|
|
? |
$QD_{16}$ (as 8T8) |
$[4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$1131.28073403$ |
$1$ |
$5$ |
| 8.0.4624220160000.8 |
$x^{8} + 4 x^{6} + 52 x^{4} - 84 x^{2} + 441$ |
$8$ |
(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) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$855.309000816$ |
$0$ |
$7$ |
| 8.0.4874133569536.9 |
$x^{8} + 52 x^{6} + 676 x^{4} + 3388 x^{2} + 5929$ |
$8$ |
(0, 4) |
$2^{24}\cdot 7^{4}\cdot 11^{2}$ |
$3$ |
$38.5466977325$ |
$70.19971509913698$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$3$ |
$225.134171469$ |
$0$ |
$11$ |
| 8.2.5530156269568.7 |
$x^{8} + 20 x^{6} + 68 x^{4} - 1364 x^{2} - 6727$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 31^{2}$ |
$3$ |
$39.1599542233$ |
$117.84735890124988$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$1080.48830034$ |
$1$ |
$31$ |
| 8.2.5530156269568.11 |
$x^{8} - 12 x^{6} - 60 x^{4} + 1612 x^{2} - 6727$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 7^{3}\cdot 31^{2}$ |
$3$ |
$39.1599542233$ |
$117.84735890124988$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$1080.48830034$ |
$1$ |
$31$ |
| 8.2.6004750155776.4 |
$x^{8} - 8 x^{6} + 20 x^{4} - 16 x^{2} - 284$ |
$8$ |
(2, 3) |
$-\,2^{24}\cdot 71^{3}$ |
$2$ |
$39.5650635616$ |
$67.40919818541087$ |
|
|
? |
$QD_{16}$ (as 8T8) |
trivial |
$[2]$ |
$2$ |
$4$ |
$3204.29996405$ |
$1$ |
$71$ |
