| 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 |
| 8.2.9035786448.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 19 x^{5} + 28 x^{4} - 37 x^{3} + 37 x^{2} - 10 x - 4$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$17.5588368996$ |
$46.21745788239754$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$107.686476311$ |
| 8.2.9035786448.2 |
$x^{8} - 13 x^{4} + 26 x^{2} - 13$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$17.5588368996$ |
$46.21745788239754$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$70.8984717117$ |
| 8.4.9600523101.1 |
$x^{8} - x^{7} - 2 x^{6} - 6 x^{5} + 5 x^{4} + 6 x^{3} - 2 x^{2} + x + 1$ |
$8$ |
[4,2] |
$3^{2}\cdot 13^{7}\cdot 17$ |
$3$ |
$17.6924045843$ |
$67.3729434035747$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$5$ |
$234.451210994$ |
| 8.0.9600523101.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 6 x^{4} - 5 x^{3} + 11 x^{2} - 9 x + 3$ |
$8$ |
[0,4] |
$3^{2}\cdot 13^{7}\cdot 17$ |
$3$ |
$17.6924045843$ |
$67.3729434035747$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$62.0013347217$ |
| 8.2.27107359344.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 20 x^{5} - 24 x^{4} + 28 x^{3} - 15 x^{2} + 3 x - 17$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$20.1435449322$ |
$53.95461039860534$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$280.258799888$ |
| 8.2.27107359344.2 |
$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 2 x^{4} - 3 x^{3} + 15 x^{2} - 15 x + 9$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$20.1435449322$ |
$67.97854938007967$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$334.932452924$ |
| 8.2.27107359344.3 |
$x^{8} - 3 x^{7} + 8 x^{6} - 6 x^{5} - 11 x^{4} + 28 x^{3} - 28 x^{2} + 16 x - 4$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$20.1435449322$ |
$43.010190880705785$ |
|
|
? |
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$2$ |
$4$ |
$189.176947331$ |
| 8.2.27107359344.4 |
$x^{8} - 2 x^{7} + 5 x^{6} + 4 x^{5} - 11 x^{4} + 62 x^{3} - 50 x^{2} + 76 x - 4$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$20.1435449322$ |
$43.010190880705785$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$2$ |
$4$ |
$312.159664358$ |
| 8.4.36143145792.1 |
$x^{8} - 2 x^{7} - 8 x^{6} + 4 x^{5} + 28 x^{4} + 10 x^{3} - 37 x^{2} - 28 x - 4$ |
$8$ |
[4,2] |
$2^{6}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$20.8810937721$ |
$46.21745788239754$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
trivial |
$2$ |
$5$ |
$377.442958225$ |
| 8.0.36143145792.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 28 x^{4} - 29 x^{3} + 41 x^{2} - 15 x + 9$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$20.8810937721$ |
$46.21745788239754$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[2]$ |
$2$ |
$3$ |
$56.7819557836$ |
| 8.0.38966829057.1 |
$x^{8} - x^{7} + 11 x^{6} - 6 x^{5} + 18 x^{4} + 6 x^{3} - 15 x^{2} + 27 x + 27$ |
$8$ |
[0,4] |
$3^{3}\cdot 13^{7}\cdot 23$ |
$3$ |
$21.0783631878$ |
$103.13481462469302$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$153.176093453$ |
| 8.4.38966829057.1 |
$x^{8} - 13 x^{6} + 52 x^{4} - 26 x^{3} - 52 x^{2} + 52 x - 13$ |
$8$ |
[4,2] |
$3^{3}\cdot 13^{7}\cdot 23$ |
$3$ |
$21.0783631878$ |
$103.13481462469302$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$5$ |
$291.473698678$ |
| 8.0.45743668893.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 19 x^{4} - 31 x^{3} + 37 x^{2} - 22 x + 16$ |
$8$ |
[0,4] |
$3^{6}\cdot 13^{7}$ |
$2$ |
$21.5050954404$ |
$21.505095440352893$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$153.898711303$ |
| 8.0.45743668893.2 |
$x^{8} - 3 x^{7} - 5 x^{6} + 33 x^{5} - 24 x^{4} - 102 x^{3} + 271 x^{2} - 270 x + 100$ |
$8$ |
[0,4] |
$3^{6}\cdot 13^{7}$ |
$2$ |
$21.5050954404$ |
$21.505095440352893$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$30.969869098$ |
| 8.2.48190861056.1 |
$x^{8} - 2 x^{7} + 5 x^{6} + 4 x^{5} - 37 x^{4} - 94 x^{3} - 89 x^{2} - 54 x - 17$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3\cdot 13^{7}$ |
$3$ |
$21.6456477045$ |
$46.21745788239754$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$202.280588294$ |
| 8.2.48190861056.2 |
$x^{8} - 13 x^{4} - 52 x^{3} - 78 x^{2} - 52 x - 13$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3\cdot 13^{7}$ |
$3$ |
$21.6456477045$ |
$46.21745788239754$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$307.240526538$ |
| 8.2.49132088811.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 15 x^{4} + 10 x^{3} - 37 x^{2} + 50 x - 4$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 13^{7}\cdot 29$ |
$3$ |
$21.6980473967$ |
$115.80848313945708$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$313.763548957$ |
| 8.2.49132088811.2 |
$x^{8} - x^{7} - 2 x^{6} + 20 x^{5} - 8 x^{4} - 33 x^{3} + 63 x^{2} - 12 x - 12$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 13^{7}\cdot 29$ |
$3$ |
$21.6980473967$ |
$115.80848313945708$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$252.446906909$ |
| 8.6.54402964239.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 20 x^{5} - 11 x^{4} - 24 x^{3} + 50 x^{2} - 36 x + 9$ |
$8$ |
[6,1] |
$-\,3\cdot 13^{7}\cdot 17^{2}$ |
$3$ |
$21.9762112142$ |
$67.3729434035747$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$6$ |
$793.791398177$ |
| 8.2.54402964239.1 |
$x^{8} - 26 x^{4} - 65 x^{2} - 39$ |
$8$ |
[2,3] |
$-\,3\cdot 13^{7}\cdot 17^{2}$ |
$3$ |
$21.9762112142$ |
$67.3729434035747$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$419.841091618$ |
| 8.4.68333135013.1 |
$x^{8} - 2 x^{7} - 8 x^{6} + 17 x^{5} + 15 x^{4} - 55 x^{3} + 41 x^{2} - 2 x - 4$ |
$8$ |
[4,2] |
$3^{2}\cdot 11^{2}\cdot 13^{7}$ |
$3$ |
$22.611476297$ |
$54.19477320764325$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
trivial |
$2$ |
$5$ |
$769.147229438$ |
| 8.0.68333135013.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} - 7 x^{4} + 21 x^{3} + 37 x^{2} - 48 x + 68$ |
$8$ |
[0,4] |
$3^{2}\cdot 11^{2}\cdot 13^{7}$ |
$3$ |
$22.611476297$ |
$54.19477320764325$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[2]$ |
$2$ |
$3$ |
$201.39815779$ |
| 8.2.81322078032.1 |
$x^{8} + 13 x^{6} + 52 x^{4} + 39 x^{2} - 117$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$46.21745788239754$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$4$ |
$354.005481613$ |
| 8.2.81322078032.2 |
$x^{8} - 3 x^{7} + 8 x^{6} - 32 x^{5} + 67 x^{4} - 128 x^{3} + 232 x^{2} - 231 x + 87$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$46.21745788239754$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$4$ |
$210.716581921$ |
| 8.0.81322078032.1 |
$x^{8} - x^{7} - 2 x^{6} - 6 x^{5} + 70 x^{4} - 176 x^{3} + 219 x^{2} - 129 x + 40$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$32.68067787784695$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$350.614890784$ |
| 8.0.81322078032.2 |
$x^{8} - x^{7} + 11 x^{6} - 19 x^{5} + 57 x^{4} - 72 x^{3} + 102 x^{2} - 64 x + 40$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$32.68067787784695$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$109.512973134$ |
| 8.0.81322078032.3 |
$x^{8} - x^{7} - 2 x^{6} + 7 x^{5} + 18 x^{4} - 7 x^{3} - 2 x^{2} + x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$32.68067787784695$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$31.3234744449$ |
| 8.0.81322078032.4 |
$x^{8} - x^{7} + 11 x^{6} - 19 x^{5} + 57 x^{4} - 72 x^{3} + 297 x^{2} + 14 x + 274$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 13^{7}$ |
$3$ |
$23.1087289412$ |
$32.68067787784695$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$32.1112198261$ |
| 8.4.86404707909.1 |
$x^{8} - x^{7} - 2 x^{6} + 20 x^{5} - 21 x^{4} - 20 x^{3} - 2 x^{2} + x + 1$ |
$8$ |
[4,2] |
$3^{4}\cdot 13^{7}\cdot 17$ |
$3$ |
$23.2845139001$ |
$67.3729434035747$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$5$ |
$234.642018549$ |
| 8.0.86404707909.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 41 x^{4} - 120 x^{3} + 236 x^{2} - 275 x + 139$ |
$8$ |
[0,4] |
$3^{4}\cdot 13^{7}\cdot 17$ |
$3$ |
$23.2845139001$ |
$67.3729434035747$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 2]$ |
$2$ |
$3$ |
$48.1394815205$ |
| 8.0.108429437376.1 |
$x^{8} + 13 x^{6} + 65 x^{4} + 156 x^{2} + 156$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$23.9548469547$ |
$86.02038176141157$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$79.3231050394$ |
| 8.4.108429437376.1 |
$x^{8} - 2 x^{7} - 8 x^{6} + 30 x^{5} - 37 x^{4} + 10 x^{3} + 2 x^{2} + 24 x - 17$ |
$8$ |
[4,2] |
$2^{6}\cdot 3^{3}\cdot 13^{7}$ |
$3$ |
$23.9548469547$ |
$86.02038176141157$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$5$ |
$785.248114854$ |
| 8.0.127065746925.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 32 x^{5} + 54 x^{4} - 50 x^{3} + 63 x^{2} - 23 x + 22$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{2}\cdot 13^{7}$ |
$3$ |
$24.4345059171$ |
$36.53810864281968$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[8]$ |
$2$ |
$3$ |
$174.06900246$ |
| 8.0.127065746925.2 |
$x^{8} - 3 x^{7} + 8 x^{6} - 6 x^{5} + 2 x^{4} - 24 x^{3} + 37 x^{2} - 75 x + 100$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{2}\cdot 13^{7}$ |
$3$ |
$24.4345059171$ |
$36.53810864281968$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[8]$ |
$2$ |
$3$ |
$174.06900246$ |
| 8.2.137231006679.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 19 x^{5} - 24 x^{4} + 28 x^{3} - 2 x^{2} + 42 x - 43$ |
$8$ |
[2,3] |
$-\,3^{7}\cdot 13^{7}$ |
$2$ |
$24.6707033473$ |
$53.72079362118028$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[2]$ |
$2$ |
$4$ |
$333.235085474$ |
| 8.2.144572583168.1 |
$x^{8} - 13 x^{6} + 52 x^{4} - 39 x^{2} - 13$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$24.8319452829$ |
$46.21745788239754$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$575.478606196$ |
| 8.2.144572583168.2 |
$x^{8} - 13 x^{4} - 26 x^{2} - 13$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{2}\cdot 13^{7}$ |
$3$ |
$24.8319452829$ |
$46.21745788239754$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$4$ |
$774.803829002$ |
| 8.0.203305195080.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 6 x^{5} - 11 x^{4} + 15 x^{3} + 63 x^{2} - 36 x + 9$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{4}\cdot 5\cdot 13^{7}$ |
$4$ |
$25.9130515823$ |
$103.34537757227437$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[8]$ |
$2$ |
$3$ |
$110.579426634$ |
| 8.0.203305195080.2 |
$x^{8} - x^{7} + 11 x^{6} - 19 x^{5} - 8 x^{4} + 19 x^{3} + 11 x^{2} + x + 1$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{4}\cdot 5\cdot 13^{7}$ |
$4$ |
$25.9130515823$ |
$103.34537757227437$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[8]$ |
$2$ |
$3$ |
$206.759826179$ |
| 8.4.225894661200.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 7 x^{5} + 15 x^{4} + 28 x^{3} - 106 x^{2} + 120 x - 4$ |
$8$ |
[4,2] |
$2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 13^{7}$ |
$4$ |
$26.2565853574$ |
$73.07621728563936$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
trivial |
$2$ |
$5$ |
$565.789380444$ |
| 8.0.225894661200.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 22 x^{5} + 54 x^{4} - 68 x^{3} + 132 x^{2} - 288 x + 256$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 13^{7}$ |
$4$ |
$26.2565853574$ |
$73.07621728563936$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[2]$ |
$2$ |
$3$ |
$220.994823085$ |
| 8.0.225894661200.2 |
$x^{8} - 2 x^{7} + 5 x^{6} + 4 x^{5} + 15 x^{4} - 42 x^{3} - 37 x^{2} + 24 x + 48$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 13^{7}$ |
$4$ |
$26.2565853574$ |
$73.07621728563936$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[2]$ |
$2$ |
$3$ |
$388.296096776$ |
| 8.4.225894661200.2 |
$x^{8} - 3 x^{7} + 8 x^{6} - 6 x^{5} - 37 x^{4} + 54 x^{3} - 2 x^{2} - 75 x + 9$ |
$8$ |
[4,2] |
$2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 13^{7}$ |
$4$ |
$26.2565853574$ |
$73.07621728563936$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
trivial |
$2$ |
$5$ |
$1259.7759206$ |
| 8.2.230600799975.1 |
$x^{8} - x^{7} - 2 x^{6} - 6 x^{5} - 8 x^{4} + 58 x^{3} - 28 x^{2} + 66 x - 233$ |
$8$ |
[2,3] |
$-\,3\cdot 5^{2}\cdot 7^{2}\cdot 13^{7}$ |
$4$ |
$26.3243466536$ |
$96.67074884556061$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$1173.94503356$ |
| 8.2.243966234096.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 7 x^{5} + 41 x^{4} + 80 x^{3} + 24 x^{2} - 244 x - 212$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{5}\cdot 13^{7}$ |
$3$ |
$26.510396014$ |
$43.010190880705785$ |
|
|
? |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[2]$ |
$2$ |
$4$ |
$296.804390612$ |
| 8.2.243966234096.2 |
$x^{8} - 3 x^{7} - 5 x^{6} + 20 x^{5} + 41 x^{4} - 167 x^{3} + 63 x^{2} + 250 x - 212$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 3^{5}\cdot 13^{7}$ |
$3$ |
$26.510396014$ |
$43.010190880705785$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[2]$ |
$2$ |
$4$ |
$351.208816047$ |
| 8.4.273081545984.1 |
$x^{8} - 4 x^{7} + 7 x^{6} + 6 x^{5} - 72 x^{4} + 138 x^{3} - 171 x^{2} + 56 x + 3$ |
$8$ |
[4,2] |
$2^{8}\cdot 13^{7}\cdot 17$ |
$3$ |
$26.8866407363$ |
$110.01955587211187$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$5$ |
$2049.77548165$ |
| 8.4.273081545984.2 |
$x^{8} - 13 x^{6} + 39 x^{4} - 26 x^{3} - 39 x^{2} + 52 x - 13$ |
$8$ |
[4,2] |
$2^{8}\cdot 13^{7}\cdot 17$ |
$3$ |
$26.8866407363$ |
$130.83603863255485$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$5$ |
$744.108278726$ |
| 8.4.308283464021.1 |
$x^{8} - 2 x^{7} - 8 x^{6} + 43 x^{5} - 89 x^{4} + 23 x^{3} + 93 x^{2} - 67 x - 43$ |
$8$ |
[4,2] |
$13^{7}\cdot 17^{3}$ |
$2$ |
$27.2972425556$ |
$78.98363631994589$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
trivial |
$2$ |
$5$ |
$616.830177984$ |
| 8.4.308283464021.2 |
$x^{8} - 2 x^{7} + 5 x^{6} - 35 x^{5} + 2 x^{4} + 36 x^{3} + 145 x^{2} + 102 x + 9$ |
$8$ |
[4,2] |
$13^{7}\cdot 17^{3}$ |
$2$ |
$27.2972425556$ |
$78.98363631994589$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
trivial |
$2$ |
$5$ |
$333.133041239$ |
