| 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 |
| 8.4.5334402749.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} - 2 x^{4} + 11 x^{3} - 7 x^{2} + x + 1$ |
$8$ |
[4,2] |
$13\cdot 17^{7}$ |
$2$ |
$16.4393910096$ |
$43.014460711706995$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$50.4276582851$ |
| 8.2.19285917631.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 20 x^{5} + 36 x^{4} - 82 x^{3} + 91 x^{2} - 66 x + 52$ |
$8$ |
[2,3] |
$-\,17^{7}\cdot 47$ |
$2$ |
$19.3043435745$ |
$81.7884043055344$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$89.4407401069$ |
| 8.2.26261675072.1 |
$x^{8} - x^{7} + 10 x^{6} - 11 x^{5} + 32 x^{4} - 61 x^{3} + 41 x^{2} - 132 x + 18$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 17^{7}$ |
$2$ |
$20.063897614$ |
$23.86012979730628$ |
|
|
|
$D_{8}$ (as 8T6) |
$[4]$ |
$2$ |
$4$ |
$83.109134679$ |
| 8.6.26261675072.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 8 x^{5} - 26 x^{4} + 52 x^{3} + 3 x^{2} - 7 x - 1$ |
$8$ |
[6,1] |
$-\,2^{6}\cdot 17^{7}$ |
$2$ |
$20.063897614$ |
$47.72025959461256$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$196.99406069$ |
| 8.2.26261675072.2 |
$x^{8} - 3 x^{7} + 5 x^{6} + 9 x^{5} - 26 x^{4} + 18 x^{3} + 20 x^{2} - 24 x + 16$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 17^{7}$ |
$2$ |
$20.063897614$ |
$23.86012979730628$ |
|
|
|
$QD_{16}$ (as 8T8) |
$[4]$ |
$2$ |
$4$ |
$447.727402788$ |
| 8.0.26261675072.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 19 x^{4} - 14 x^{3} + 6 x^{2} + 36 x + 52$ |
$8$ |
[0,4] |
$2^{6}\cdot 17^{7}$ |
$2$ |
$20.063897614$ |
$33.74331915933294$ |
✓ |
|
? |
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$3$ |
$27.6959098582$ |
| 8.4.26261675072.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 25 x^{5} + 42 x^{4} - 33 x^{3} + 3 x^{2} + 10 x - 1$ |
$8$ |
[4,2] |
$2^{6}\cdot 17^{7}$ |
$2$ |
$20.063897614$ |
$33.74331915933294$ |
|
|
? |
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$5$ |
$83.4829009987$ |
| 8.0.33237432513.1 |
$x^{8} - x^{7} + 10 x^{6} - 11 x^{5} + 15 x^{4} - 61 x^{3} + 58 x^{2} - 47 x + 103$ |
$8$ |
[0,4] |
$3^{4}\cdot 17^{7}$ |
$2$ |
$20.6634785421$ |
$20.663478542061284$ |
✓ |
✓ |
? |
$C_8$ (as 8T1) |
$[2]$ |
$2$ |
$3$ |
$27.6959098582$ |
| 8.4.36520141897.1 |
$x^{8} - x^{7} - 7 x^{6} + 6 x^{5} - 19 x^{4} + 24 x^{3} - 10 x^{2} + 4 x + 1$ |
$8$ |
[4,2] |
$17^{7}\cdot 89$ |
$2$ |
$20.9081957294$ |
$112.54800715810448$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$92.0799928925$ |
| 8.0.61140462277.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 19 x^{4} + 3 x^{3} + 57 x^{2} - 32 x + 52$ |
$8$ |
[0,4] |
$17^{7}\cdot 149$ |
$2$ |
$22.2992927851$ |
$145.625000684722$ |
✓ |
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[6]$ |
$2$ |
$3$ |
$27.6959098582$ |
| 8.4.64423171661.1 |
$x^{8} - x^{7} - 7 x^{6} - 11 x^{5} - 36 x^{4} - 44 x^{3} + 41 x^{2} + 106 x + 52$ |
$8$ |
[4,2] |
$17^{7}\cdot 157$ |
$2$ |
$22.445550571$ |
$149.48328472546316$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$175.465370266$ |
| 8.0.69347235737.2 |
$x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 2 x^{4} + 3 x^{3} + 6 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$13^{2}\cdot 17^{7}$ |
$2$ |
$22.6531522723$ |
$43.014460711706995$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[8]$ |
$2$ |
$3$ |
$61.0235657638$ |
| 8.6.78374686543.1 |
$x^{8} - 2 x^{7} - 11 x^{6} + 48 x^{5} - 49 x^{4} - 48 x^{3} + 108 x^{2} - 32 x - 16$ |
$8$ |
[6,1] |
$-\,17^{7}\cdot 191$ |
$2$ |
$23.0023378072$ |
$164.87677720297805$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$440.88950711$ |
| 8.2.85350443984.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 25 x^{5} + 42 x^{4} + x^{3} - 65 x^{2} + 95 x - 103$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$121.66326743332137$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$88.6608656277$ |
| 8.6.85350443984.1 |
$x^{8} - 3 x^{7} - 12 x^{6} + 26 x^{5} + 42 x^{4} + x^{3} - 82 x^{2} - 24 x - 1$ |
$8$ |
[6,1] |
$-\,2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$121.66326743332137$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$247.6035496$ |
| 8.6.85350443984.2 |
$x^{8} - 3 x^{7} - 12 x^{6} + 43 x^{5} + 8 x^{4} - 135 x^{3} + 173 x^{2} - 92 x + 16$ |
$8$ |
[6,1] |
$-\,2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$121.66326743332137$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$327.388612675$ |
| 8.2.85350443984.2 |
$x^{8} - 2 x^{7} + 6 x^{6} - 20 x^{5} + 36 x^{4} - 48 x^{3} + 57 x^{2} - 134 x + 52$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$121.66326743332137$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$194.25423704$ |
| 8.4.85350443984.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 2 x^{4} - 48 x^{3} - 130 x^{2} - 15 x + 1$ |
$8$ |
[4,2] |
$2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$86.02892142341399$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$148.089767583$ |
| 8.4.85350443984.2 |
$x^{8} - 2 x^{7} - 11 x^{6} + 14 x^{5} + 19 x^{4} - 14 x^{3} - 45 x^{2} + 2 x + 52$ |
$8$ |
[4,2] |
$2^{4}\cdot 13\cdot 17^{7}$ |
$3$ |
$23.248809723$ |
$86.02892142341399$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$230.308522105$ |
| 8.6.102995006923.1 |
$x^{8} - x^{7} - 7 x^{6} + 23 x^{5} - 2 x^{4} - 78 x^{3} + 75 x^{2} + 4 x - 16$ |
$8$ |
[6,1] |
$-\,17^{7}\cdot 251$ |
$2$ |
$23.8013736034$ |
$189.00777383484788$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$339.047427299$ |
| 8.4.105046700288.2 |
$x^{8} - x^{7} - 7 x^{6} + 6 x^{5} - 19 x^{4} + 75 x^{3} - 27 x^{2} - 30 x - 16$ |
$8$ |
[4,2] |
$2^{8}\cdot 17^{7}$ |
$2$ |
$23.8601297973$ |
$47.72025959461256$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[4]$ |
$2$ |
$5$ |
$581.963154925$ |
| 8.0.105046700288.2 |
$x^{8} - 2 x^{7} + 6 x^{6} - 20 x^{5} + 19 x^{4} + 20 x^{3} + 6 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 17^{7}$ |
$2$ |
$23.8601297973$ |
$23.86012979730628$ |
|
|
|
$D_{8}$ (as 8T6) |
$[16]$ |
$2$ |
$3$ |
$39.6756752079$ |
| 8.4.120229231189.1 |
$x^{8} - 2 x^{7} - 11 x^{6} + 31 x^{5} - 49 x^{4} + 54 x^{3} - 28 x^{2} + 19 x + 1$ |
$8$ |
[4,2] |
$17^{7}\cdot 293$ |
$2$ |
$24.2661712833$ |
$204.20981711568174$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$200.796686037$ |
| 8.4.144849551569.1 |
$x^{8} - x^{7} + 10 x^{6} - 11 x^{5} - 53 x^{4} - 78 x^{3} + 24 x^{2} + 72 x - 16$ |
$8$ |
[4,2] |
$17^{7}\cdot 353$ |
$2$ |
$24.8378868542$ |
$224.1455694756975$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$464.822491118$ |
| 8.4.148132260953.1 |
$x^{8} - x^{7} - 7 x^{6} + 6 x^{5} - 19 x^{4} + 24 x^{3} + 58 x^{2} + 106 x - 67$ |
$8$ |
[4,2] |
$17^{7}\cdot 19^{2}$ |
$2$ |
$24.9075612203$ |
$52.00194728311084$ |
|
|
? |
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$5$ |
$177.70397323$ |
| 8.2.160852759816.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 19 x^{4} - 14 x^{3} + 6 x^{2} + 19 x - 16$ |
$8$ |
[2,3] |
$-\,2^{3}\cdot 7^{2}\cdot 17^{7}$ |
$3$ |
$25.1653841667$ |
$89.27643090547606$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[4]$ |
$2$ |
$4$ |
$301.277854348$ |
| 8.4.172752581333.1 |
$x^{8} - 2 x^{7} - 11 x^{6} - 3 x^{5} + 19 x^{4} + 20 x^{3} + 23 x^{2} + 70 x + 52$ |
$8$ |
[4,2] |
$17^{7}\cdot 421$ |
$2$ |
$25.3908984294$ |
$244.7844660362211$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$5$ |
$316.511046212$ |
| 8.2.189986805599.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 20 x^{5} + 19 x^{4} - 48 x^{3} + 125 x^{2} + 53 x - 271$ |
$8$ |
[2,3] |
$-\,17^{7}\cdot 463$ |
$2$ |
$25.6945153292$ |
$256.7043935133426$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$93.2599687927$ |
| 8.6.214607125979.1 |
$x^{8} - 2 x^{7} - 11 x^{6} + 31 x^{5} + 19 x^{4} - 116 x^{3} + 40 x^{2} + 121 x - 67$ |
$8$ |
[6,1] |
$-\,17^{7}\cdot 523$ |
$2$ |
$26.0888849348$ |
$272.83095967689883$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$476.710248178$ |
| 8.8.256461670625.1 |
$x^{8} - x^{7} - 24 x^{6} + 23 x^{5} + 151 x^{4} - 197 x^{3} - 214 x^{2} + 429 x - 169$ |
$8$ |
[8,0] |
$5^{4}\cdot 17^{7}$ |
$2$ |
$26.6764360894$ |
$26.676436089372558$ |
|
✓ |
? |
$C_8$ (as 8T1) |
$[2]$ |
$2$ |
$7$ |
$636.601883042$ |
| 8.6.308574682096.1 |
$x^{8} - 3 x^{7} - 12 x^{6} + 43 x^{5} - 26 x^{4} - 101 x^{3} + 360 x^{2} - 347 x + 101$ |
$8$ |
[6,1] |
$-\,2^{4}\cdot 17^{7}\cdot 47$ |
$3$ |
$27.3004644958$ |
$163.5768086110688$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$795.169478913$ |
| 8.8.308574682096.1 |
$x^{8} - 3 x^{7} - 12 x^{6} + 26 x^{5} + 59 x^{4} - 50 x^{3} - 116 x^{2} - 41 x - 1$ |
$8$ |
[8,0] |
$2^{4}\cdot 17^{7}\cdot 47$ |
$3$ |
$27.3004644958$ |
$231.33254122748158$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$7$ |
$774.682519315$ |
| 8.6.357404984183.1 |
$x^{8} - 2 x^{7} - 11 x^{6} + 48 x^{5} - 100 x^{4} + 88 x^{3} + 176 x^{2} - 440 x + 239$ |
$8$ |
[6,1] |
$-\,13\cdot 17^{7}\cdot 67$ |
$3$ |
$27.8064198295$ |
$352.0885352171694$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$438.580921132$ |
| 8.6.357404984183.2 |
$x^{8} - x^{7} - 7 x^{6} + 6 x^{5} - 19 x^{4} + 41 x^{3} + 109 x^{2} - 166 x + 52$ |
$8$ |
[6,1] |
$-\,13\cdot 17^{7}\cdot 67$ |
$3$ |
$27.8064198295$ |
$352.0885352171694$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$951.924694467$ |
| 8.6.420186801152.1 |
$x^{8} - 17 x^{6} + 85 x^{4} - 102 x^{2} - 68$ |
$8$ |
[6,1] |
$-\,2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$56.749272239690114$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$642.665212229$ |
| 8.2.420186801152.5 |
$x^{8} + 17 x^{6} + 51 x^{4} - 170 x^{2} - 68$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$47.72025959461256$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2, 2]$ |
$2$ |
$4$ |
$148.380510799$ |
| 8.2.420186801152.6 |
$x^{8} + 17 x^{6} + 85 x^{4} + 102 x^{2} - 68$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$56.749272239690114$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$272.075725073$ |
| 8.4.420186801152.1 |
$x^{8} - 17 x^{4} + 68$ |
$8$ |
[4,2] |
$2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$56.749272239690114$ |
|
|
|
$(C_8:C_2):C_2$ (as 8T16) |
$[2]$ |
$2$ |
$5$ |
$558.352224922$ |
| 8.8.420186801152.1 |
$x^{8} - 17 x^{6} + 85 x^{4} - 136 x^{2} + 68$ |
$8$ |
[8,0] |
$2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$47.72025959461256$ |
|
|
|
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$7$ |
$1025.01963413$ |
| 8.4.420186801152.2 |
$x^{8} - 51 x^{4} + 34 x^{2} + 68$ |
$8$ |
[4,2] |
$2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$47.72025959461256$ |
|
|
|
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$5$ |
$448.460678046$ |
| 8.4.420186801152.3 |
$x^{8} - 17 x^{6} + 17 x^{4} + 170 x^{2} + 68$ |
$8$ |
[4,2] |
$2^{10}\cdot 17^{7}$ |
$2$ |
$28.3746361198$ |
$56.749272239690114$ |
|
|
|
$(C_8:C_2):C_2$ (as 8T16) |
$[2]$ |
$2$ |
$5$ |
$286.350086857$ |
| 8.0.472710151296.1 |
$x^{8} - x^{7} + 10 x^{6} - 28 x^{5} + 100 x^{4} - 180 x^{3} + 177 x^{2} - 81 x + 18$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{2}\cdot 17^{7}$ |
$3$ |
$28.7954829033$ |
$82.65391416824514$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[4]$ |
$2$ |
$3$ |
$432.172374666$ |
| 8.0.472710151296.2 |
$x^{8} - 3 x^{7} + 22 x^{6} - 59 x^{5} + 93 x^{4} - 152 x^{3} + 122 x^{2} - 24 x + 152$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{2}\cdot 17^{7}$ |
$3$ |
$28.7954829033$ |
$82.65391416824514$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[4]$ |
$2$ |
$3$ |
$678.755253096$ |
| 8.6.524823162767.1 |
$x^{8} - x^{7} - 7 x^{6} - 28 x^{5} - 19 x^{4} + 92 x^{3} + 92 x^{2} - 64 x - 67$ |
$8$ |
[6,1] |
$-\,17^{7}\cdot 1279$ |
$2$ |
$29.1743792523$ |
$426.65621712766693$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$540.11588047$ |
| 8.6.531798920208.1 |
$x^{8} - 3 x^{7} - 12 x^{6} + 43 x^{5} + 25 x^{4} - 186 x^{3} + 88 x^{2} + 248 x - 188$ |
$8$ |
[6,1] |
$-\,2^{4}\cdot 3^{4}\cdot 17^{7}$ |
$3$ |
$29.2225716$ |
$58.445143199977$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$992.185267047$ |
| 8.4.531798920208.1 |
$x^{8} - 3 x^{7} - 12 x^{6} - 8 x^{5} + 25 x^{4} + 120 x^{3} - 14 x^{2} - 109 x + 169$ |
$8$ |
[4,2] |
$2^{4}\cdot 3^{4}\cdot 17^{7}$ |
$3$ |
$29.2225716$ |
$41.32695708412257$ |
|
|
? |
$C_8:C_2$ (as 8T7) |
$[2]$ |
$2$ |
$5$ |
$509.394365486$ |
| 8.8.538774677649.1 |
$x^{8} - 4 x^{7} - 10 x^{6} + 44 x^{5} + 32 x^{4} - 142 x^{3} - 41 x^{2} + 120 x + 52$ |
$8$ |
[8,0] |
$13\cdot 17^{7}\cdot 101$ |
$3$ |
$29.2702139537$ |
$432.28998006224646$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$7$ |
$1723.29151092$ |
| 8.0.538774677649.1 |
$x^{8} - x^{7} + 10 x^{6} - 11 x^{5} + 49 x^{4} - 44 x^{3} + 160 x^{2} - 64 x + 256$ |
$8$ |
[0,4] |
$13\cdot 17^{7}\cdot 101$ |
$3$ |
$29.2702139537$ |
$432.28998006224646$ |
✓ |
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2, 10]$ |
$2$ |
$3$ |
$27.6959098582$ |
| 8.6.549443483147.1 |
$x^{8} - x^{7} - 7 x^{6} - 11 x^{5} + 15 x^{4} + 92 x^{3} + 7 x^{2} - 132 x - 16$ |
$8$ |
[6,1] |
$-\,13\cdot 17^{7}\cdot 103$ |
$3$ |
$29.3420449679$ |
$436.54909749403373$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$917.418921577$ |
| 8.6.549443483147.2 |
$x^{8} - x^{7} - 7 x^{6} + 23 x^{5} - 104 x^{4} + 24 x^{3} + 755 x^{2} - 1288 x + 596$ |
$8$ |
[6,1] |
$-\,13\cdot 17^{7}\cdot 103$ |
$3$ |
$29.3420449679$ |
$436.54909749403373$ |
|
|
|
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$6$ |
$833.149276258$ |
