| 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 |
| 8.0.91930287069.1 |
$x^{8} - 3 x^{7} + 14 x^{6} - 22 x^{5} + 52 x^{4} - 34 x^{3} + 61 x^{2} - 9 x + 36$ |
$8$ |
[0,4] |
$3^{3}\cdot 23^{7}$ |
$2$ |
$23.4656358618$ |
$26.91984059357173$ |
|
|
|
$D_{8}$ (as 8T6) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$417.798891916$ |
| 8.0.122573716092.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 2 x^{5} + 8 x^{4} + 3 x^{3} + 60 x^{2} - 24 x + 64$ |
$8$ |
[0,4] |
$2^{2}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$24.3248218972$ |
$53.83968118714346$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$1129.29327522$ |
| 8.0.163431621456.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 13 x^{4} - 19 x^{3} + 45 x^{2} - 36 x + 54$ |
$8$ |
[0,4] |
$2^{4}\cdot 3\cdot 23^{7}$ |
$3$ |
$25.2154667282$ |
$53.83968118714346$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$650.165333197$ |
| 8.0.735442296552.1 |
$x^{8} - x^{7} - x^{6} + 6 x^{5} - 11 x^{4} + 31 x^{3} + 11 x^{2} - 108 x + 144$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$30.4311647607$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$2179.54606988$ |
| 8.0.827372583621.1 |
$x^{8} - x^{7} - x^{6} + 6 x^{5} + 12 x^{4} + 8 x^{3} + 11 x^{2} + 7 x + 6$ |
$8$ |
[0,4] |
$3^{5}\cdot 23^{7}$ |
$2$ |
$30.8825135552$ |
$80.7595217807152$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$834.23036518$ |
| 8.0.1103163444828.1 |
$x^{8} - x^{7} - x^{6} + 29 x^{5} + 104 x^{4} + 146 x^{3} + 103 x^{2} + 30 x + 6$ |
$8$ |
[0,4] |
$2^{2}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$32.0132659686$ |
$53.83968118714346$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$3$ |
$315.865971491$ |
| 8.0.1470884593104.1 |
$x^{8} - x^{7} - x^{6} + 6 x^{5} + 35 x^{4} + 31 x^{3} + 11 x^{2} - 16 x + 6$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$33.1854204855$ |
$53.83968118714346$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$3$ |
$591.376339033$ |
| 8.0.1470884593104.2 |
$x^{8} - 3 x^{7} + 14 x^{6} - 45 x^{5} + 29 x^{4} + 12 x^{3} - 8 x^{2} + 60 x + 36$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$33.1854204855$ |
$53.83968118714346$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1182.75267807$ |
| 8.0.1470884593104.3 |
$x^{8} - 2 x^{7} - 4 x^{6} + 48 x^{5} + 31 x^{4} - 112 x^{3} + 290 x^{2} + 942 x + 639$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$33.1854204855$ |
$53.83968118714346$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$363.70553001$ |
| 8.0.1743270628864.1 |
$x^{8} + 69 x^{4} - 138 x^{2} + 184$ |
$8$ |
[0,4] |
$2^{9}\cdot 23^{7}$ |
$2$ |
$33.897728867$ |
$43.959915607541454$ |
|
|
|
$D_{8}$ (as 8T6) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$588.089024965$ |
| 8.0.1743270628864.2 |
$x^{8} - 2 x^{7} + 19 x^{6} - 44 x^{5} + 123 x^{4} - 66 x^{3} + 37 x^{2} + 160 x + 156$ |
$8$ |
[0,4] |
$2^{9}\cdot 23^{7}$ |
$2$ |
$33.897728867$ |
$104.55488883081492$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$1380.66554674$ |
| 8.0.1961179457472.1 |
$x^{8} - 3 x^{7} + 14 x^{6} - 45 x^{5} + 144 x^{4} - 241 x^{3} + 245 x^{2} - 124 x + 36$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$34.4004930293$ |
$53.83968118714346$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$565.620822748$ |
| 8.0.1961179457472.2 |
$x^{8} - x^{7} - x^{6} + 29 x^{5} - 57 x^{4} - 130 x^{3} + 241 x^{2} + 76 x + 6$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$34.4004930293$ |
$107.67936237428692$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$1323.98536075$ |
| 8.0.2206326889656.1 |
$x^{8} - 2 x^{7} - 4 x^{6} - 21 x^{5} + 100 x^{4} + 26 x^{3} - 124 x^{2} - 783 x + 1191$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$34.9107140866$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$874.07691523$ |
| 8.0.2206326889656.2 |
$x^{8} - x^{7} - x^{6} - 17 x^{5} + 35 x^{4} + 8 x^{3} + 310 x^{2} + 260 x + 512$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$34.9107140866$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1364.62150894$ |
| 8.0.2298257176725.1 |
$x^{8} - 46 x^{4} - 92 x^{3} + 299 x^{2} - 46 x + 184$ |
$8$ |
[0,4] |
$3^{3}\cdot 5^{2}\cdot 23^{7}$ |
$3$ |
$35.0893099866$ |
$79.22054023965084$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$3875.77143566$ |
| 8.0.2614905943296.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 25 x^{5} + 31 x^{4} - 158 x^{3} - 78 x^{2} + 666 x + 662$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 23^{7}$ |
$3$ |
$35.6600550286$ |
$107.67936237428692$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$381.127472425$ |
| 8.0.2614905943296.2 |
$x^{8} - x^{7} + 22 x^{6} + 6 x^{5} + 104 x^{4} + 100 x^{3} + 264 x^{2} + 168 x + 144$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 23^{7}$ |
$3$ |
$35.6600550286$ |
$107.67936237428692$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$10690.6445836$ |
| 8.0.2614905943296.3 |
$x^{8} - 23 x^{6} + 184 x^{4} - 575 x^{2} + 621$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 23^{7}$ |
$3$ |
$35.6600550286$ |
$53.83968118714346$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$325.643531893$ |
| 8.0.2941769186208.1 |
$x^{8} - x^{7} - x^{6} - 40 x^{5} + 58 x^{4} + 8 x^{3} + 264 x^{2} - 384 x + 512$ |
$8$ |
[0,4] |
$2^{5}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$36.1889576512$ |
$141.7140105520934$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$924.931127306$ |
| 8.0.3486541257728.1 |
$x^{8} - 4 x^{7} + 7 x^{6} + 16 x^{5} - 33 x^{4} + 50 x^{3} + 114 x^{2} - 36 x + 54$ |
$8$ |
[0,4] |
$2^{10}\cdot 23^{7}$ |
$2$ |
$36.9657354492$ |
$43.959915607541454$ |
|
|
? |
$D_{8}$ (as 8T6) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$2005.50483492$ |
| 8.0.3486541257728.2 |
$x^{8} - 2 x^{7} - 4 x^{6} - 21 x^{5} + 100 x^{4} - 20 x^{3} - 32 x^{2} - 622 x + 892$ |
$8$ |
[0,4] |
$2^{10}\cdot 23^{7}$ |
$2$ |
$36.9657354492$ |
$104.55488883081492$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$2839.61489088$ |
| 8.0.3922358914944.1 |
$x^{8} - 3 x^{7} - 9 x^{6} + 47 x^{5} + 75 x^{4} - 609 x^{3} + 1004 x^{2} - 354 x + 36$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$37.514003656$ |
$128.0530638744583$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$2355.68989353$ |
| 8.0.3922358914944.2 |
$x^{8} + 46 x^{4} + 69 x^{2} + 184$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$37.514003656$ |
$128.0530638744583$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$1582.75672046$ |
| 8.0.4412653779312.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 2 x^{5} + 54 x^{4} - 66 x^{3} - 147 x^{2} + 114 x + 432$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$38.0704036644$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$7882.11168928$ |
| 8.0.4412653779312.2 |
$x^{8} - 3 x^{7} + 14 x^{6} + x^{5} - 132 x^{4} + 35 x^{3} + 567 x^{2} + 60 x + 36$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$38.0704036644$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1041.09878676$ |
| 8.0.5883538372416.1 |
$x^{8} + 69 x^{4} + 230 x^{2} + 276$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$76.14080732870187$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$5045.7108963$ |
| 8.0.5883538372416.2 |
$x^{8} - x^{7} - x^{6} - 40 x^{5} + 35 x^{4} + 215 x^{3} - 173 x^{2} - 246 x + 282$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$76.14080732870187$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$2350.64912074$ |
| 8.0.5883538372416.3 |
$x^{8} - 2 x^{7} - 4 x^{6} - 21 x^{5} + 77 x^{4} - 66 x^{3} + 428 x^{2} - 875 x + 478$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$76.14080732870187$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$2350.64912074$ |
| 8.0.5883538372416.4 |
$x^{8} + 69 x^{4} - 598 x^{2} + 1104$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$76.14080732870187$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$5045.7108963$ |
| 8.0.5883538372416.5 |
$x^{8} - 2 x^{7} - 4 x^{6} - 21 x^{5} + 100 x^{4} - 112 x^{3} + 152 x^{2} - 300 x + 432$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$5299.84463081$ |
| 8.0.5883538372416.6 |
$x^{8} - x^{7} - x^{6} + 29 x^{5} - 57 x^{4} + 77 x^{3} + 333 x^{2} - 729 x + 972$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$141.09988113815686$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1940.90641503$ |
| 8.0.5883538372416.7 |
$x^{8} + 23 x^{4} + 1104$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$100.20693785052721$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1012.08453503$ |
| 8.0.5883538372416.8 |
$x^{8} - 46 x^{4} + 621$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$39.4643381557$ |
$100.20693785052721$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$3995.97629695$ |
| 8.0.6618980668968.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 25 x^{5} + 8 x^{4} - 158 x^{3} + 520 x^{2} - 576 x + 432$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{5}\cdot 23^{7}$ |
$3$ |
$40.0496651254$ |
$100.20693785052721$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$3$ |
$2410.12884948$ |
| 8.0.6973082515456.1 |
$x^{8} - 23 x^{6} + 230 x^{4} - 736 x^{2} + 736$ |
$8$ |
[0,4] |
$2^{11}\cdot 23^{7}$ |
$2$ |
$40.3114203511$ |
$62.16870885296182$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$2026.13648654$ |
| 8.0.6973082515456.2 |
$x^{8} + 23 x^{6} + 230 x^{4} + 736 x^{2} + 736$ |
$8$ |
[0,4] |
$2^{11}\cdot 23^{7}$ |
$2$ |
$40.3114203511$ |
$62.16870885296182$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$4052.27297308$ |
| 8.0.7446353252589.1 |
$x^{8} - 2 x^{7} + 19 x^{6} - 44 x^{5} + 31 x^{4} + 118 x^{3} + 60 x^{2} - 576 x + 432$ |
$8$ |
[0,4] |
$3^{7}\cdot 23^{7}$ |
$2$ |
$40.6436735446$ |
$116.47538558646828$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1491.50575156$ |
| 8.0.7844717829888.1 |
$x^{8} + 23 x^{6} + 276 x^{4} + 460 x^{2} + 368$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$40.9093110701$ |
$107.67936237428692$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$3478.74441964$ |
| 8.0.7844717829888.2 |
$x^{8} - 3 x^{7} + 14 x^{6} + x^{5} - 40 x^{4} + 219 x^{3} + 222 x^{2} - 9 x + 243$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 23^{7}$ |
$3$ |
$40.9093110701$ |
$107.67936237428692$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$2289.83759741$ |
| 8.0.8590374602781.1 |
$x^{8} - x^{7} - x^{6} + 6 x^{5} + 104 x^{4} + 307 x^{3} + 563 x^{2} + 536 x + 213$ |
$8$ |
[0,4] |
$3\cdot 23^{7}\cdot 29^{2}$ |
$3$ |
$41.3762867337$ |
$144.96777817817332$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$2752.51673626$ |
| 8.0.8825307558624.1 |
$x^{8} - x^{7} - x^{6} - 17 x^{5} - 34 x^{4} + 215 x^{3} + 103 x^{2} - 913 x + 719$ |
$8$ |
[0,4] |
$2^{5}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$41.5160695817$ |
$141.7140105520934$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$3$ |
$472.079893981$ |
| 8.0.8825307558624.2 |
$x^{8} + 23 x^{6} + 207 x^{4} + 897 x^{2} + 1656$ |
$8$ |
[0,4] |
$2^{5}\cdot 3^{4}\cdot 23^{7}$ |
$3$ |
$41.5160695817$ |
$141.7140105520934$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
$3$ |
$609.966752268$ |
| 8.0.10459623773184.1 |
$x^{8} - 4 x^{7} + 7 x^{6} + 16 x^{5} - 33 x^{4} - 226 x^{3} + 666 x^{2} - 588 x + 468$ |
$8$ |
[0,4] |
$2^{10}\cdot 3\cdot 23^{7}$ |
$3$ |
$42.4071911615$ |
$107.67936237428692$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1318.32275739$ |
| 8.0.10459623773184.2 |
$x^{8} - 2 x^{7} + 19 x^{6} + 2 x^{5} + 77 x^{4} + 118 x^{3} + 221 x^{2} + 114 x + 18$ |
$8$ |
[0,4] |
$2^{10}\cdot 3\cdot 23^{7}$ |
$3$ |
$42.4071911615$ |
$107.67936237428692$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$2002.80925631$ |
| 8.0.11123564735349.1 |
$x^{8} - x^{7} - x^{6} + 29 x^{5} + 81 x^{4} + 146 x^{3} + 379 x^{2} + 766 x + 696$ |
$8$ |
[0,4] |
$3^{3}\cdot 11^{2}\cdot 23^{7}$ |
$3$ |
$42.734684137$ |
$89.28301066505563$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$8679.56107741$ |
| 8.0.11123564735349.2 |
$x^{8} - 23 x^{6} - 69 x^{5} + 161 x^{4} + 874 x^{3} + 1242 x^{2} + 345 x + 621$ |
$8$ |
[0,4] |
$3^{3}\cdot 11^{2}\cdot 23^{7}$ |
$3$ |
$42.734684137$ |
$89.28301066505563$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[6]$ |
$[6]$ |
$2$ |
$3$ |
$1021.60901839$ |
| 8.0.11331259087616.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 48 x^{5} - 84 x^{4} - 434 x^{3} + 1509 x^{2} - 1496 x + 708$ |
$8$ |
[0,4] |
$2^{8}\cdot 13\cdot 23^{7}$ |
$3$ |
$42.8336191831$ |
$158.49972978806042$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$7626.28306247$ |
| 8.0.11331259087616.2 |
$x^{8} - 2 x^{7} + 19 x^{6} - 44 x^{5} + 100 x^{4} + 26 x^{3} - 9 x^{2} + 68 x + 593$ |
$8$ |
[0,4] |
$2^{8}\cdot 13\cdot 23^{7}$ |
$3$ |
$42.8336191831$ |
$158.49972978806042$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[3]$ |
$[3]$ |
$2$ |
$3$ |
$679.246587461$ |
| 8.0.11767076744832.1 |
$x^{8} - 3 x^{7} - 9 x^{6} - 22 x^{5} + 6 x^{4} + 288 x^{3} + 1188 x^{2} + 1440 x + 864$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{3}\cdot 23^{7}$ |
$3$ |
$43.0361659233$ |
$128.0530638744583$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[12]$ |
$[12]$ |
$2$ |
$3$ |
$1862.71486907$ |
