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 |
8.2.21434375.1 |
$x^{8} - x^{7} + 2 x^{6} - 5 x^{5} + x^{4} - 5 x^{3} + 2 x^{2} - x + 1$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 19^{3}$ |
$2$ |
$8.24876351759$ |
$30.429351993705872$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$2.43892189738$ |
8.2.107171875.2 |
$x^{8} - x^{7} + 6 x^{5} - 11 x^{4} + 6 x^{3} - x + 1$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 19^{3}$ |
$2$ |
$10.0869554704$ |
$30.429351993705872$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$8.10768565961$ |
8.0.215378125.1 |
$x^{8} - 3 x^{7} + 2 x^{6} + 4 x^{5} - x^{4} - 4 x^{3} + 2 x^{2} + 3 x + 1$ |
$8$ |
[0,4] |
$5^{5}\cdot 41^{3}$ |
$2$ |
$11.0065243565$ |
$54.17705527224281$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$3$ |
$11.7418369446$ |
8.2.363483392.1 |
$x^{8} - 4 x^{7} + 9 x^{6} - 12 x^{5} + 7 x^{4} + 10 x^{3} - 22 x^{2} + 16 x - 4$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 17^{5}$ |
$2$ |
$11.7506143061$ |
$23.679999262753405$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$14.8185388509$ |
8.2.363483392.2 |
$x^{8} - 2 x^{6} - 4 x^{5} + 4 x^{4} + 4 x^{3} + x^{2} - 6 x - 2$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 17^{5}$ |
$2$ |
$11.7506143061$ |
$23.679999262753405$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$36.5334876323$ |
8.2.536870912.1 |
$x^{8} + 4 x^{6} + 4 x^{4} - 2$ |
$8$ |
[2,3] |
$-\,2^{29}$ |
$1$ |
$12.3376866033$ |
$19.443957759687503$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$29.1140922281$ |
8.2.536870912.2 |
$x^{8} - 4 x^{6} + 4 x^{4} - 2$ |
$8$ |
[2,3] |
$-\,2^{29}$ |
$1$ |
$12.3376866033$ |
$19.443957759687503$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$20.7809276166$ |
8.2.641809375.1 |
$x^{8} - 2 x^{7} + 3 x^{6} + 4 x^{5} - 4 x^{4} + 10 x^{3} + 10 x^{2} + 18 x + 9$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 59^{3}$ |
$2$ |
$12.6161184279$ |
$71.18139778768546$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$19.8188437057$ |
8.0.643956736.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 8 x^{5} + 7 x^{4} - 6 x^{3} + 5 x^{2} + 4 x + 2$ |
$8$ |
[0,4] |
$2^{17}\cdot 17^{3}$ |
$2$ |
$12.6213870849$ |
$56.32084721305108$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$3$ |
$53.5371848088$ |
8.0.709315625.1 |
$x^{8} - x^{7} + 4 x^{6} - 9 x^{5} - x^{4} + 9 x^{3} + 4 x^{2} + x + 1$ |
$8$ |
[0,4] |
$5^{5}\cdot 61^{3}$ |
$2$ |
$12.7748244503$ |
$72.98353242310733$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$3$ |
$13.3852432186$ |
8.2.1050284375.1 |
$x^{8} - 3 x^{6} - 2 x^{5} - 22 x^{3} + 50 x^{2} - 24 x - 1$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 7^{2}\cdot 19^{3}$ |
$3$ |
$13.4172454007$ |
$38.561447133599124$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$[2]$ |
$2$ |
$4$ |
$13.9802232105$ |
8.2.1050284375.2 |
$x^{8} - x^{7} - 5 x^{6} + 12 x^{5} + 5 x^{4} - 38 x^{3} + 18 x^{2} + 40 x - 31$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 7^{2}\cdot 19^{3}$ |
$3$ |
$13.4172454007$ |
$38.561447133599124$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$[2]$ |
$2$ |
$4$ |
$13.6597572536$ |
8.2.1050284375.3 |
$x^{8} - 2 x^{7} + x^{6} + 3 x^{5} - 16 x^{4} + 33 x^{3} - 59 x^{2} + 63 x - 29$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 7^{2}\cdot 19^{3}$ |
$3$ |
$13.4172454007$ |
$38.561447133599124$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$20.6356871873$ |
8.2.1050284375.4 |
$x^{8} - 2 x^{7} - x^{6} + 2 x^{5} - 6 x^{4} - 18 x^{3} + 2 x^{2} - 19$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 7^{2}\cdot 19^{3}$ |
$3$ |
$13.4172454007$ |
$38.561447133599124$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$19.0309715219$ |
8.2.1073741824.2 |
$x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} - 1$ |
$8$ |
[2,3] |
$-\,2^{30}$ |
$1$ |
$13.4543426441$ |
$19.443957759687503$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$46.6347157788$ |
8.2.1073741824.3 |
$x^{8} - 4 x^{6} + 6 x^{4} - 4 x^{2} - 1$ |
$8$ |
[2,3] |
$-\,2^{30}$ |
$1$ |
$13.4543426441$ |
$19.443957759687503$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$33.2867205828$ |
8.4.1076890625.1 |
$x^{8} - 4 x^{6} - 9 x^{4} - 20 x^{3} - 9 x^{2} - 5 x + 1$ |
$8$ |
[4,2] |
$5^{6}\cdot 41^{3}$ |
$2$ |
$13.4592682686$ |
$54.17705527224281$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$5$ |
$37.7111446048$ |
8.2.1331000000.1 |
$x^{8} - 2 x^{7} - x^{6} + 7 x^{5} - 4 x^{4} - 5 x^{3} - 5 x^{2} + 15 x - 5$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 5^{6}\cdot 11^{3}$ |
$3$ |
$13.8204523181$ |
$57.12378956548744$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$31.8668473127$ |
8.2.1331000000.2 |
$x^{8} - 2 x^{7} + 6 x^{6} - 16 x^{5} + 24 x^{4} - 38 x^{3} + 49 x^{2} - 44 x + 16$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 5^{6}\cdot 11^{3}$ |
$3$ |
$13.8204523181$ |
$57.12378956548744$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$37.1574597468$ |
8.2.1453933568.1 |
$x^{8} + x^{6} - 6 x^{5} - 12 x^{4} - 20 x^{3} - 29 x^{2} - 10 x - 1$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 17^{5}$ |
$2$ |
$13.9739141385$ |
$33.48857611437076$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$33.0078359942$ |
8.2.1453933568.2 |
$x^{8} - 4 x^{7} + 6 x^{6} + 6 x^{5} - 30 x^{4} + 32 x^{3} - 3 x^{2} - 4 x - 8$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 17^{5}$ |
$2$ |
$13.9739141385$ |
$33.48857611437076$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$80.9895283793$ |
8.2.1540746875.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - 11 x^{5} + 19 x^{4} - 15 x^{3} + 35 x^{2} - 50 x + 20$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 79^{3}$ |
$2$ |
$14.0755836449$ |
$88.60287654003653$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$48.1480202978$ |
8.2.1736184375.1 |
$x^{8} - x^{7} - 9 x^{6} + 15 x^{5} + 24 x^{4} - 67 x^{3} + 5 x^{2} + 98 x - 71$ |
$8$ |
[2,3] |
$-\,3^{4}\cdot 5^{5}\cdot 19^{3}$ |
$3$ |
$14.2872775121$ |
$52.70518369449589$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$35.9431080142$ |
8.2.1872286839.1 |
$x^{8} + 5 x^{6} - 10 x^{5} + 2 x^{4} + 12 x^{3} - 18 x^{2} + 12 x - 3$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 37^{5}$ |
$2$ |
$14.4226992699$ |
$34.197332740531884$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$67.4707639807$ |
8.0.2575826944.1 |
$x^{8} - 2 x^{6} - 5 x^{4} + 34$ |
$8$ |
[0,4] |
$2^{19}\cdot 17^{3}$ |
$2$ |
$15.0094433225$ |
$66.97715222874152$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$[2]$ |
$2$ |
$3$ |
$42.9422856282$ |
8.2.2593559375.1 |
$x^{8} - x^{7} + 6 x^{6} - 16 x^{4} - 7 x^{3} - 40 x^{2} + 8 x - 31$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 11^{2}\cdot 19^{3}$ |
$3$ |
$15.0223205338$ |
$100.92274317677541$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$45.0583444053$ |
8.2.2593559375.2 |
$x^{8} - 2 x^{7} - 5 x^{6} + 5 x^{5} + 10 x^{4} + 13 x^{3} + 29 x^{2} - 85 x - 25$ |
$8$ |
[2,3] |
$-\,5^{5}\cdot 11^{2}\cdot 19^{3}$ |
$3$ |
$15.0223205338$ |
$100.92274317677541$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$[2]$ |
$2$ |
$4$ |
$23.1806941734$ |
8.2.3209046875.1 |
$x^{8} - x^{7} - 4 x^{5} - 21 x^{4} + x^{3} + 15 x^{2} - 16 x - 19$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 59^{3}$ |
$2$ |
$15.4275515986$ |
$71.18139778768546$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$58.9189370164$ |
8.4.3219690625.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 20 x^{5} + 4 x^{4} + 4 x^{3} + 32 x^{2} - 12 x - 1$ |
$8$ |
[4,2] |
$5^{5}\cdot 101^{3}$ |
$2$ |
$15.433938589$ |
$106.52916761335055$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$5$ |
$60.495178236$ |
8.4.3219690625.2 |
$x^{8} - 2 x^{7} + 4 x^{6} - 8 x^{5} + 4 x^{4} + 2 x^{3} - 13 x^{2} + 1$ |
$8$ |
[4,2] |
$5^{5}\cdot 101^{3}$ |
$2$ |
$15.433938589$ |
$33.60378443921746$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$5$ |
$55.0377286145$ |
8.4.3219690625.3 |
$x^{8} - x^{7} - 5 x^{6} + 12 x^{5} - x^{4} - 20 x^{3} + 30 x^{2} - 20 x + 5$ |
$8$ |
[4,2] |
$5^{5}\cdot 101^{3}$ |
$2$ |
$15.433938589$ |
$33.60378443921746$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$5$ |
$52.896016206$ |
8.2.3258096075.1 |
$x^{8} - 3 x^{7} + 4 x^{6} - 10 x^{5} + 15 x^{4} - 4 x^{3} + 10 x^{2} - 3 x - 23$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 5^{2}\cdot 13^{6}$ |
$3$ |
$15.4568319723$ |
$34.89662748300597$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$78.1734594151$ |
8.2.3258096075.2 |
$x^{8} - x^{7} - 4 x^{6} + 2 x^{5} + 4 x^{4} - 3 x^{3} - 9 x^{2} + 18 x - 12$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 5^{2}\cdot 13^{6}$ |
$3$ |
$15.4568319723$ |
$34.89662748300597$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$77.3347452369$ |
8.2.3276800000.1 |
$x^{8} + 2 x^{6} + x^{4} - 10 x^{2} - 5$ |
$8$ |
[2,3] |
$-\,2^{20}\cdot 5^{5}$ |
$2$ |
$15.467895946$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$64.9545602537$ |
8.2.3276800000.2 |
$x^{8} - 4 x^{6} + 4 x^{4} - 5$ |
$8$ |
[2,3] |
$-\,2^{20}\cdot 5^{5}$ |
$2$ |
$15.467895946$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$40.8524812179$ |
8.2.3276800000.3 |
$x^{8} + 4 x^{6} + 4 x^{4} - 5$ |
$8$ |
[2,3] |
$-\,2^{20}\cdot 5^{5}$ |
$2$ |
$15.467895946$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$48.3939206573$ |
8.2.3276800000.4 |
$x^{8} - 2 x^{6} + x^{4} + 10 x^{2} - 5$ |
$8$ |
[2,3] |
$-\,2^{20}\cdot 5^{5}$ |
$2$ |
$15.467895946$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$61.564140028$ |
8.2.3514671875.1 |
$x^{8} - 8 x^{6} - 5 x^{5} - x^{4} - 25 x^{3} - 27 x^{2} - 20 x - 4$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 11^{3}\cdot 13^{2}$ |
$3$ |
$15.6039876626$ |
$72.8188294211971$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$45.6133508795$ |
8.2.3514671875.2 |
$x^{8} - 2 x^{7} - 3 x^{6} + 5 x^{5} + x^{4} + 10 x^{3} - 7 x^{2} - 6 x - 4$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 11^{3}\cdot 13^{2}$ |
$3$ |
$15.6039876626$ |
$72.8188294211971$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$71.9991231294$ |
8.4.3546578125.1 |
$x^{8} - 2 x^{7} - 7 x^{5} - 6 x^{4} + 17 x^{3} - 8 x + 1$ |
$8$ |
[4,2] |
$5^{6}\cdot 61^{3}$ |
$2$ |
$15.6216243923$ |
$72.98353242310733$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$5$ |
$67.9700593496$ |
8.2.3641573376.1 |
$x^{8} - 2 x^{7} + x^{6} + 6 x^{5} - 17 x^{4} + 20 x^{3} - 18 x^{2} + 12 x - 2$ |
$8$ |
[2,3] |
$-\,2^{17}\cdot 3^{4}\cdot 7^{3}$ |
$3$ |
$15.6733247832$ |
$50.14373105296502$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$74.8682850741$ |
8.2.3641573376.2 |
$x^{8} + 6 x^{6} + 11 x^{4} - 14$ |
$8$ |
[2,3] |
$-\,2^{17}\cdot 3^{4}\cdot 7^{3}$ |
$3$ |
$15.6733247832$ |
$50.14373105296502$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$229.556419619$ |
8.2.3904765952.1 |
$x^{8} - 2 x^{7} - x^{6} - 8 x^{5} - 13 x^{4} - 14 x^{3} - 17 x^{2} - 12 x - 2$ |
$8$ |
[2,3] |
$-\,2^{17}\cdot 31^{3}$ |
$2$ |
$15.8106373005$ |
$88.37995140878793$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$208.362011766$ |
8.2.3904765952.2 |
$x^{8} - 2 x^{7} + 5 x^{6} + 2 x^{5} - 17 x^{4} - 4 x^{3} - 2 x^{2} - 12 x - 2$ |
$8$ |
[2,3] |
$-\,2^{17}\cdot 31^{3}$ |
$2$ |
$15.8106373005$ |
$37.455304749449176$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$78.0692517928$ |
8.2.3904765952.3 |
$x^{8} - 2 x^{7} - 7 x^{6} + 6 x^{5} + 26 x^{4} + 10 x^{3} - 29 x^{2} - 38 x - 17$ |
$8$ |
[2,3] |
$-\,2^{17}\cdot 31^{3}$ |
$2$ |
$15.8106373005$ |
$37.455304749449176$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$71.2898661541$ |
8.2.4096000000.4 |
$x^{8} - 2 x^{6} - 6 x^{4} - 8 x^{2} - 4$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5^{6}$ |
$2$ |
$15.9054145753$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$53.2542185263$ |
8.2.4096000000.5 |
$x^{8} - 4 x^{6} + 6 x^{4} - 4 x^{2} - 4$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5^{6}$ |
$2$ |
$15.9054145753$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$71.4780761519$ |
8.2.4096000000.7 |
$x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} - 4$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5^{6}$ |
$2$ |
$15.9054145753$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$67.7471492681$ |
8.2.4096000000.8 |
$x^{8} + 2 x^{6} - 6 x^{4} + 8 x^{2} - 4$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5^{6}$ |
$2$ |
$15.9054145753$ |
$30.46215435643493$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$44.9553772989$ |
8.2.4517521931.1 |
$x^{8} - 4 x^{7} + x^{6} + 11 x^{5} - 14 x^{4} + 5 x^{3} + x^{2} - x - 1$ |
$8$ |
[2,3] |
$-\,13^{5}\cdot 23^{3}$ |
$2$ |
$16.1013590164$ |
$71.90405637564118$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
trivial |
$2$ |
$4$ |
$62.3098628193$ |