| 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 |
| 8.0.1614110976.1 |
$x^{8} - 2 x^{7} - 2 x^{6} + 8 x^{5} + 14 x^{4} - 40 x^{3} + 40 x^{2} - 20 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 31^{2}$ |
$3$ |
$14.1576663706$ |
$45.03228377065356$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$131.020408919$ |
| 8.0.1693157904.1 |
$x^{8} - 3 x^{7} - 3 x^{6} + 16 x^{5} - 36 x^{3} + x^{2} + 39 x + 21$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{8}\cdot 127^{2}$ |
$3$ |
$14.2425313078$ |
$64.45104867427892$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$161.374575806$ |
| 8.0.2385638649.1 |
$x^{8} + 9 x^{6} - 2 x^{5} + 21 x^{4} - 12 x^{3} + 13 x^{2} - 12 x + 3$ |
$8$ |
[0,4] |
$3^{12}\cdot 67^{2}$ |
$2$ |
$14.8662209334$ |
$61.342250006833744$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$135.841596288$ |
| 8.0.2485221904.1 |
$x^{8} - x^{7} + 2 x^{6} + 3 x^{5} + x^{3} + 10 x^{2} - 7 x + 3$ |
$8$ |
[0,4] |
$2^{4}\cdot 11^{4}\cdot 103^{2}$ |
$3$ |
$14.9424099272$ |
$53.43202316085161$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$70.828773382$ |
| 8.0.3105609984.2 |
$x^{8} - 4 x^{7} + 16 x^{6} - 26 x^{5} + 35 x^{4} - 2 x^{3} - 2 x^{2} + 32 x + 13$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 43^{2}$ |
$3$ |
$15.3644976122$ |
$53.03680493491432$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$181.90354526$ |
| 8.0.3838050304.3 |
$x^{8} - 4 x^{7} + 4 x^{6} + 5 x^{4} - 16 x^{3} + 28 x^{2} - 16 x + 8$ |
$8$ |
[0,4] |
$2^{18}\cdot 11^{4}$ |
$2$ |
$15.7766151939$ |
$33.27317760447394$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$4$ |
$3$ |
$218.181787905$ |
| 8.0.4145685769.1 |
$x^{8} - x^{7} + 2 x^{6} - 3 x^{5} + 8 x^{4} + 20 x^{3} + 21 x^{2} + 12 x + 4$ |
$8$ |
[0,4] |
$31^{4}\cdot 67^{2}$ |
$2$ |
$15.9294047575$ |
$45.574115460423364$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[3]$ |
$2$ |
$3$ |
$48.5328157429$ |
| 8.0.4705960000.1 |
$x^{8} - 4 x^{7} + 5 x^{6} - x^{5} + x^{4} + 2 x^{3} - x^{2} - 3 x + 2$ |
$8$ |
[0,4] |
$2^{6}\cdot 5^{4}\cdot 7^{6}$ |
$3$ |
$16.1838196071$ |
$35.591683140678526$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$120.819272119$ |
| 8.0.4787532864.2 |
$x^{8} - 3 x^{7} + 5 x^{6} - 4 x^{5} + 6 x^{4} - 7 x^{3} + 9 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{4}\cdot 31^{4}$ |
$3$ |
$16.2186227098$ |
$27.27636339397171$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[6]$ |
$2$ |
$3$ |
$24.4670799033$ |
| 8.0.5505046416.1 |
$x^{8} - 2 x^{7} - 8 x^{6} + 22 x^{5} + 19 x^{4} - 50 x^{3} + 40 x^{2} + 46 x + 13$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{8}\cdot 229^{2}$ |
$3$ |
$16.5042245231$ |
$86.54577449912895$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
$[4]$ |
$6$ |
$3$ |
$77.2786752253$ |
| 8.0.6561000000.1 |
$x^{8} - x^{7} + 4 x^{6} - 7 x^{5} + 4 x^{4} - 4 x^{3} + 16 x^{2} - 28 x + 16$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{8}\cdot 5^{6}$ |
$3$ |
$16.8702397557$ |
$34.07328144898583$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[4]$ |
$2$ |
$3$ |
$54.7187652998$ |
| 8.0.6879707136.2 |
$x^{8} + 6 x^{6} - 4 x^{5} + 24 x^{4} - 24 x^{3} + 44 x^{2} - 24 x + 18$ |
$8$ |
[0,4] |
$2^{20}\cdot 3^{8}$ |
$2$ |
$16.9705627485$ |
$31.74116849477024$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$4$ |
$3$ |
$93.0770862518$ |
| 8.0.7779240000.5 |
$x^{8} - x^{7} - 5 x^{6} + x^{5} + 9 x^{4} + 11 x^{3} - 5 x^{2} - 11 x + 16$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{4}\cdot 5^{4}\cdot 7^{4}$ |
$4$ |
$17.2332483328$ |
$37.899601517805245$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$2$ |
$3$ |
$63.9966137934$ |
| 8.0.8279544064.2 |
$x^{8} - 4 x^{7} + 8 x^{6} + 2 x^{5} - 33 x^{4} + 54 x^{3} + 2 x^{2} - 74 x + 75$ |
$8$ |
[0,4] |
$2^{8}\cdot 11^{4}\cdot 47^{2}$ |
$3$ |
$17.3680396826$ |
$51.04426247074785$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$106.907088686$ |
| 8.0.9474296896.1 |
$x^{8} - 4 x^{7} + 3 x^{6} + 5 x^{5} + 4 x^{4} + 2 x^{3} + 6 x^{2} + 6 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 23^{6}$ |
$2$ |
$17.6631588122$ |
$29.705773854413227$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[3]$ |
$2$ |
$3$ |
$91.0257706109$ |
| 8.0.9980010000.2 |
$x^{8} - 3 x^{7} + 2 x^{6} - 15 x^{5} + 30 x^{4} + 9 x^{3} + 17 x^{2} - 60 x + 28$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{6}\cdot 5^{4}\cdot 37^{2}$ |
$4$ |
$17.7783467338$ |
$64.35887881748549$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$218.343181993$ |
| 8.0.10528401664.3 |
$x^{8} - 4 x^{7} + 10 x^{6} - 10 x^{5} + 11 x^{4} - 50 x^{3} + 118 x^{2} - 104 x + 31$ |
$8$ |
[0,4] |
$2^{8}\cdot 11^{4}\cdot 53^{2}$ |
$3$ |
$17.8976209349$ |
$54.20457442278137$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$2$ |
$3$ |
$61.5273256743$ |
| 8.0.11193640000.3 |
$x^{8} - x^{7} + 2 x^{6} - x^{5} - 2 x^{4} + 4 x^{3} - 6 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 5^{4}\cdot 23^{4}$ |
$3$ |
$18.0352188605$ |
$30.331501776206203$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[6]$ |
$2$ |
$3$ |
$47.9248254354$ |
| 8.0.13064490000.2 |
$x^{8} - 2 x^{7} + 4 x^{6} - 2 x^{5} + 9 x^{4} - 10 x^{3} + 22 x^{2} - 10 x + 19$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 127^{2}$ |
$4$ |
$18.3870288543$ |
$90.6001996080664$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$305.826819863$ |
| 8.0.13916213089.1 |
$x^{8} - 3 x^{7} + 11 x^{5} - 4 x^{4} - 50 x^{3} + 115 x^{2} - 110 x + 48$ |
$8$ |
[0,4] |
$23^{4}\cdot 223^{2}$ |
$2$ |
$18.5327613709$ |
$71.61703707917552$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[3]$ |
$2$ |
$3$ |
$117.882888699$ |
| 8.0.15650010000.4 |
$x^{8} - 2 x^{7} - 13 x^{6} + 10 x^{5} + 55 x^{4} + 26 x^{3} + 17 x^{2} + 50 x + 28$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 139^{2}$ |
$4$ |
$18.8067749409$ |
$94.78392615540335$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$335.292171414$ |
| 8.0.17133762816.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 14 x^{5} + 5 x^{4} - 38 x^{3} - 4 x^{2} + 56 x + 37$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 101^{2}$ |
$3$ |
$19.0209232783$ |
$86.96657277722701$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$4$ |
$3$ |
$249.8946925$ |
| 8.0.17180655625.2 |
$x^{8} - x^{7} - 5 x^{6} + x^{5} + 16 x^{4} + 18 x^{3} + 9 x^{2} + 3 x + 2$ |
$8$ |
[0,4] |
$5^{4}\cdot 7^{4}\cdot 107^{2}$ |
$3$ |
$19.0274227143$ |
$80.02412086555047$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$215.03382977$ |
| 8.0.17648591104.3 |
$x^{8} - 4 x^{7} + 16 x^{6} - 30 x^{5} + 47 x^{4} - 34 x^{3} + 22 x^{2} - 16 x + 5$ |
$8$ |
[0,4] |
$2^{8}\cdot 19^{4}\cdot 23^{2}$ |
$3$ |
$19.0914429987$ |
$46.929116710377556$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$104.069970346$ |
| 8.0.17742240000.9 |
$x^{8} - 2 x^{7} + 4 x^{6} + 10 x^{5} - 45 x^{4} + 50 x^{3} + 100 x^{2} - 250 x + 175$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 5^{4}\cdot 37^{2}$ |
$4$ |
$19.1040768376$ |
$69.15811602314497$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$136.73836511$ |
| 8.0.18339659776.10 |
$x^{8} - 4 x^{7} - 2 x^{6} + 20 x^{5} - 2 x^{4} - 16 x^{3} - 32 x^{2} - 16 x + 104$ |
$8$ |
[0,4] |
$2^{16}\cdot 23^{4}$ |
$2$ |
$19.1833260933$ |
$32.350317596360256$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$4$ |
$3$ |
$259.380912964$ |
| 8.0.19955517696.4 |
$x^{8} - 2 x^{7} - 2 x^{6} + 8 x^{5} - 16 x^{4} - 16 x^{3} + 184 x^{2} - 320 x + 172$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 109^{2}$ |
$3$ |
$19.38687789$ |
$84.44158457936064$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$236.559838328$ |
| 8.4.20880250000.1 |
$x^{8} - x^{7} - 6 x^{6} + 13 x^{5} - 6 x^{4} + x^{3} - 14 x^{2} + 7 x + 1$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{6}\cdot 17^{4}$ |
$3$ |
$19.4969627423$ |
$35.09243045761278$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$5$ |
$199.937445578$ |
| 8.0.22992263424.7 |
$x^{8} - 2 x^{7} + 4 x^{6} - 22 x^{5} - 4 x^{4} + 14 x^{3} + 268 x^{2} - 386 x + 139$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{12}\cdot 13^{2}$ |
$3$ |
$19.7332090079$ |
$60.65905470306384$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$299.506902749$ |
| 8.0.24321026304.8 |
$x^{8} - 4 x^{7} + 2 x^{5} + 34 x^{4} + 84 x^{3} + 45 x^{2} + 18 x + 21$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 19^{4}$ |
$3$ |
$19.8722818047$ |
$45.90799600448333$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$230.229551674$ |
| 8.4.26244000000.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 4 x^{5} + 19 x^{4} - 28 x^{3} - 16 x^{2} + 56 x - 29$ |
$8$ |
[4,2] |
$2^{8}\cdot 3^{8}\cdot 5^{6}$ |
$3$ |
$20.0622091493$ |
$32.47811668803719$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$5$ |
$202.441695472$ |
| 8.0.28860573456.2 |
$x^{8} - 2 x^{7} - 3 x^{6} - 2 x^{5} + 7 x^{4} + 6 x^{3} + 27 x^{2} + 30 x + 12$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{6}\cdot 11^{4}\cdot 13^{2}$ |
$4$ |
$20.3019670942$ |
$64.52991173525824$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$341.170462338$ |
| 8.0.29859840000.38 |
$x^{8} - 4 x^{6} + 56 x^{2} - 120 x + 79$ |
$8$ |
[0,4] |
$2^{16}\cdot 3^{6}\cdot 5^{4}$ |
$3$ |
$20.3885309382$ |
$32.63482969425662$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$643.052160772$ |
| 8.0.29948379136.3 |
$x^{8} - 4 x^{7} + 14 x^{6} - 12 x^{5} + 8 x^{4} + 56 x^{3} - 24 x^{2} + 24 x + 106$ |
$8$ |
[0,4] |
$2^{20}\cdot 13^{4}$ |
$2$ |
$20.3960780544$ |
$40.55927086489343$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$4$ |
$3$ |
$183.747227133$ |
| 8.0.32998902336.2 |
$x^{8} - x^{6} - 3 x^{5} + 27 x^{4} - 42 x^{3} + 65 x^{2} - 51 x + 28$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{6}\cdot 29^{4}$ |
$3$ |
$20.6448835125$ |
$34.72041707796637$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[6]$ |
$2$ |
$3$ |
$114.45311735$ |
| 8.0.33695374969.1 |
$x^{8} + 6 x^{6} - 16 x^{5} + 14 x^{4} - 2 x^{3} + 10 x^{2} - 17 x + 12$ |
$8$ |
[0,4] |
$23^{4}\cdot 347^{2}$ |
$2$ |
$20.6988533072$ |
$89.3364427319557$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[3]$ |
$2$ |
$3$ |
$190.892610821$ |
| 8.0.34828517376.3 |
$x^{8} + 6 x^{6} - 8 x^{5} + 39 x^{4} - 96 x^{3} + 100 x^{2} - 48 x + 9$ |
$8$ |
[0,4] |
$2^{16}\cdot 3^{12}$ |
$2$ |
$20.7846096908$ |
$35.648379338800304$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$321.367448054$ |
| 8.0.38848410000.3 |
$x^{8} - x^{7} + 9 x^{6} + 8 x^{5} + 34 x^{4} + 96 x^{3} + 96 x^{2} + 72 x + 36$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{6}\cdot 5^{4}\cdot 73^{2}$ |
$4$ |
$21.0703454554$ |
$90.40012641001029$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$446.86775908$ |
| 8.0.41400854784.2 |
$x^{8} - 2 x^{7} - 8 x^{6} + 36 x^{5} - 24 x^{4} - 168 x^{3} + 384 x^{2} - 240 x + 48$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 157^{2}$ |
$3$ |
$21.2386135871$ |
$101.34281223001094$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$393.052610815$ |
| 8.0.41943040000.11 |
$x^{8} - 8 x^{5} + 38 x^{4} - 56 x^{3} + 40 x^{2} - 16 x + 3$ |
$8$ |
[0,4] |
$2^{26}\cdot 5^{4}$ |
$2$ |
$21.2731835878$ |
$30.335854891325006$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$2$ |
$3$ |
$161.602330591$ |
| 8.0.43001487424.8 |
$x^{8} - x^{7} + 5 x^{6} + 7 x^{5} + 16 x^{4} + 16 x^{3} + 14 x^{2} + 10 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 7^{4}\cdot 23^{4}$ |
$3$ |
$21.3395587369$ |
$35.888716889852724$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[6]$ |
$2$ |
$3$ |
$98.473160889$ |
| 8.0.43237380096.17 |
$x^{8} - 2 x^{7} - 11 x^{6} + 16 x^{5} + 42 x^{4} - 46 x^{3} - 38 x^{2} + 152 x + 133$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 19^{4}$ |
$3$ |
$21.3541565041$ |
$49.33135213669309$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$352.212379189$ |
| 8.0.43932160000.3 |
$x^{8} - 4 x^{7} + 4 x^{6} - 8 x^{5} + 19 x^{4} + 4 x^{3} + 26 x^{2} - 12 x + 11$ |
$8$ |
[0,4] |
$2^{12}\cdot 5^{4}\cdot 131^{2}$ |
$3$ |
$21.3967503535$ |
$94.65872363699974$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$292.186927775$ |
| 8.0.45174951936.4 |
$x^{8} - 2 x^{7} + 2 x^{6} - 4 x^{5} - x^{4} + 22 x^{3} - 28 x^{2} - 16 x + 34$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{8}\cdot 41^{2}$ |
$3$ |
$21.4714914502$ |
$78.36075194668068$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$4$ |
$3$ |
$471.799300951$ |
| 8.0.45496890000.2 |
$x^{8} + 8 x^{6} + 21 x^{4} - 12 x^{3} + 26 x^{2} - 42 x + 19$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{6}\cdot 5^{4}\cdot 79^{2}$ |
$4$ |
$21.4905590795$ |
$94.04184769025002$ |
|
|
|
$V_4^2:S_3$ (as 8T34) |
$[4]$ |
$6$ |
$3$ |
$242.324357567$ |
| 8.0.49113651456.4 |
$x^{8} - 12 x^{6} - 16 x^{5} + 30 x^{4} + 96 x^{3} + 112 x^{2} + 84 x + 36$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{12}\cdot 19^{2}$ |
$3$ |
$21.6970294258$ |
$73.33322126374004$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$709.721743042$ |
| 8.0.49401285696.3 |
$x^{8} - 2 x^{7} + 5 x^{6} - 11 x^{5} + 4 x^{4} + 14 x^{3} - 7 x^{2} - 7 x + 7$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{8}\cdot 7^{6}$ |
$3$ |
$21.7128724662$ |
$52.66598322437137$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$2$ |
$3$ |
$434.560571828$ |
| 8.0.51307686144.18 |
$x^{8} - 2 x^{7} - 4 x^{6} + 16 x^{5} - 29 x^{4} + 8 x^{3} + 164 x^{2} - 364 x + 247$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 11^{4}\cdot 13^{2}$ |
$4$ |
$21.8158833963$ |
$69.34190285393562$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$209.440227781$ |
| 8.0.51438240000.5 |
$x^{8} - 2 x^{7} + 16 x^{6} - 36 x^{5} + 45 x^{4} - 24 x^{3} - 12 x^{2} - 24 x + 39$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 5^{4}\cdot 7^{2}$ |
$4$ |
$21.8228145754$ |
$62.57086348694464$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
trivial |
$6$ |
$3$ |
$976.411984278$ |
| 8.0.52225046784.2 |
$x^{8} + 4 x^{6} - 12 x^{5} - 21 x^{4} - 24 x^{3} - 92 x^{2} + 222 x + 403$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 23^{4}$ |
$3$ |
$21.8642636027$ |
$41.386734403189$ |
|
|
? |
$V_4^2:S_3$ (as 8T34) |
$[2]$ |
$6$ |
$3$ |
$196.643832088$ |
