| 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 |
| 8.0.24255625.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 6 x^{5} + 6 x^{4} - 4 x^{3} + 4 x^{2} - 3 x + 1$ |
$8$ |
[0,4] |
$5^{4}\cdot 197^{2}$ |
$2$ |
$8.37725159214$ |
$31.38470965295043$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$2.17658411554$ |
| 8.0.40347904.2 |
$x^{8} - 4 x^{7} + 5 x^{6} - x^{4} - 4 x^{3} + x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 397^{2}$ |
$2$ |
$8.92745402568$ |
$39.84971769034255$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$5.92616878978$ |
| 8.0.58247424.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 4 x^{5} + 10 x^{4} - 6 x^{3} + 5 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 53^{2}$ |
$3$ |
$9.34672769858$ |
$42.41320138044966$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$12.905424783$ |
| 8.0.79227801.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 6 x^{3} + 10 x^{2} - 9 x + 3$ |
$8$ |
[0,4] |
$3^{4}\cdot 23^{2}\cdot 43^{2}$ |
$3$ |
$9.7131411583$ |
$54.47017532558529$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$15.6673169956$ |
| 8.0.121176064.1 |
$x^{8} + 4 x^{6} - 4 x^{5} + 2 x^{4} - 4 x^{3} + 4 x^{2} - 4 x + 2$ |
$8$ |
[0,4] |
$2^{16}\cdot 43^{2}$ |
$2$ |
$10.2429984081$ |
$29.01980078831698$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$18.8197808588$ |
| 8.0.122589184.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 2 x^{4} - 2 x^{3} + 6 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 173^{2}$ |
$2$ |
$10.2578541374$ |
$37.20215047547655$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$4.81759919849$ |
| 8.0.122943744.2 |
$x^{8} - 4 x^{7} + 8 x^{6} - 6 x^{5} - 5 x^{4} + 14 x^{3} - 6 x^{2} - 8 x + 7$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 11^{2}$ |
$4$ |
$10.261558003$ |
$34.11989229324827$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$22.3080762405$ |
| 8.0.125955729.1 |
$x^{8} + 5 x^{6} - x^{5} + 6 x^{4} - 7 x^{3} + 3 x^{2} - 4 x + 4$ |
$8$ |
[0,4] |
$3^{4}\cdot 29^{2}\cdot 43^{2}$ |
$3$ |
$10.2926508489$ |
$61.163714733492114$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$17.9781004091$ |
| 8.0.131056704.2 |
$x^{8} - 3 x^{7} + 4 x^{6} - 6 x^{5} + 3 x^{4} + 4 x^{2} + 3 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{6}\cdot 53^{2}$ |
$3$ |
$10.3438545524$ |
$46.93792312435236$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$19.1573445671$ |
| 8.0.142850304.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 6 x^{5} + 8 x^{4} - 16 x^{3} + 24 x^{2} - 18 x + 7$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 83^{2}$ |
$3$ |
$10.4558693063$ |
$44.63182720884279$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$21.1817608524$ |
| 8.0.147671104.1 |
$x^{8} - x^{7} + 3 x^{6} - 2 x^{5} + 6 x^{4} - 5 x^{3} + 7 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 7^{4}\cdot 31^{2}$ |
$3$ |
$10.4993385618$ |
$41.66533331199932$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$15.2656534052$ |
| 8.0.162613504.2 |
$x^{8} - 2 x^{7} - 2 x^{6} + 2 x^{5} + 10 x^{4} - 6 x^{3} - 11 x^{2} + 4 x + 5$ |
$8$ |
[0,4] |
$2^{8}\cdot 797^{2}$ |
$2$ |
$10.6266059355$ |
$56.462376853972415$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$14.0722104668$ |
| 8.0.164249856.1 |
$x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - 10 x^{4} + 2 x^{3} + 11 x^{2} - 6 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 89^{2}$ |
$3$ |
$10.6399141719$ |
$54.96144256866746$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$18.8097997738$ |
| 8.0.175509504.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 12 x^{5} + 11 x^{4} - 4 x^{3} + 4 x^{2} - 6 x + 3$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 23^{2}$ |
$3$ |
$10.7284647811$ |
$30.468830670705117$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$27.8115504496$ |
| 8.0.176703849.1 |
$x^{8} - x^{7} - 6 x^{5} + 3 x^{4} + 8 x^{3} + 20 x^{2} + 17 x + 7$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{2}\cdot 211^{2}$ |
$3$ |
$10.7375636484$ |
$66.56575696257048$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$17.6566908368$ |
| 8.0.203233536.1 |
$x^{8} - 2 x^{7} + x^{6} + 6 x^{5} - 9 x^{4} - 12 x^{3} + 9 x^{2} + 12 x + 3$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{8}\cdot 11^{2}$ |
$3$ |
$10.926961721$ |
$40.19206303367818$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$33.8904383984$ |
| 8.0.208138329.1 |
$x^{8} - x^{7} + 2 x^{6} - 5 x^{5} + 10 x^{4} - 6 x^{3} + 9 x^{2} - 18 x + 9$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{2}\cdot 229^{2}$ |
$3$ |
$10.9595824425$ |
$69.34695379034324$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$24.2482717924$ |
| 8.0.213160000.2 |
$x^{8} - x^{7} - 4 x^{5} + 3 x^{4} + 4 x^{3} + 2 x^{2} - 8 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 5^{4}\cdot 73^{2}$ |
$3$ |
$10.992290923$ |
$54.037024344425184$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$7.22202429527$ |
| 8.0.245862400.1 |
$x^{8} - 2 x^{6} - 2 x^{5} + 7 x^{4} + 16 x^{3} + 16 x^{2} + 8 x + 2$ |
$8$ |
[0,4] |
$2^{12}\cdot 5^{2}\cdot 7^{4}$ |
$3$ |
$11.1901656261$ |
$28.966393683904485$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$19.806760716$ |
| 8.0.249892864.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 8 x^{5} + 10 x^{4} - 18 x^{3} - 6 x^{2} + 8 x + 5$ |
$8$ |
[0,4] |
$2^{12}\cdot 13^{2}\cdot 19^{2}$ |
$3$ |
$11.2129331205$ |
$47.09548818580524$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$27.9809070201$ |
| 8.4.258405625.1 |
$x^{8} - 3 x^{7} + 4 x^{6} - 5 x^{5} + x^{4} + x^{3} + 8 x^{2} - 7 x + 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 643^{2}$ |
$2$ |
$11.259983274$ |
$56.70097000933934$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$5$ |
$12.6167062779$ |
| 8.0.264647824.1 |
$x^{8} + 3 x^{6} - x^{5} + 5 x^{4} - 5 x^{3} + 7 x^{2} - 4 x + 2$ |
$8$ |
[0,4] |
$2^{4}\cdot 7^{4}\cdot 83^{2}$ |
$3$ |
$11.2936296251$ |
$48.2078831727758$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$22.334227238$ |
| 8.0.264777984.1 |
$x^{8} - 4 x^{6} - 2 x^{5} + 6 x^{4} - 2 x^{3} + 3 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 113^{2}$ |
$3$ |
$11.2943237847$ |
$52.076866265166146$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$19.7523703725$ |
| 8.0.267420609.1 |
$x^{8} - 3 x^{7} + 11 x^{6} - 19 x^{5} + 32 x^{4} - 34 x^{3} + 29 x^{2} - 20 x + 7$ |
$8$ |
[0,4] |
$3^{4}\cdot 23^{2}\cdot 79^{2}$ |
$3$ |
$11.3083530594$ |
$73.83088784512888$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$35.7517593674$ |
| 8.0.270964521.1 |
$x^{8} - x^{7} + x^{6} + 3 x^{5} - 4 x^{4} + 11 x^{3} + 21 x^{2} + 6 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 31^{2}\cdot 59^{2}$ |
$3$ |
$11.3269779148$ |
$74.07428703673091$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$31.3096867487$ |
| 8.0.279023616.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - 2 x^{5} + 9 x^{4} - 6 x^{3} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 29^{2}$ |
$3$ |
$11.3685511553$ |
$34.21297721674001$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$26.2748940607$ |
| 8.0.293642496.1 |
$x^{8} - 2 x^{7} + 8 x^{5} - 13 x^{4} - 4 x^{3} + 18 x^{2} - 8 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 17^{2}$ |
$4$ |
$11.4413524277$ |
$42.416591792008454$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$21.4471215979$ |
| 8.0.310217769.1 |
$x^{8} - x^{7} + 9 x^{6} - 8 x^{5} + 25 x^{4} - 18 x^{3} + 20 x^{2} - 8 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 19^{2}\cdot 103^{2}$ |
$3$ |
$11.5201553012$ |
$76.62245101796209$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$6$ |
$3$ |
$17.181179058$ |
| 8.0.313714944.2 |
$x^{8} - 2 x^{7} - 4 x^{6} + 10 x^{5} + 13 x^{4} - 10 x^{3} - 16 x^{2} + 2 x + 7$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 41^{2}$ |
$3$ |
$11.5363095519$ |
$32.76683777535107$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$29.9169291484$ |
| 8.0.316270656.1 |
$x^{8} - 3 x^{7} + 7 x^{6} - 13 x^{5} + 15 x^{4} - 14 x^{3} + 14 x^{2} - 4 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{4}\cdot 13^{2}\cdot 19^{2}$ |
$4$ |
$11.5480156142$ |
$76.99350621968063$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$40.3097504853$ |
| 8.0.333281536.1 |
$x^{8} - 5 x^{6} - 2 x^{5} + 8 x^{4} + 8 x^{3} - 6 x^{2} - 8 x + 5$ |
$8$ |
[0,4] |
$2^{8}\cdot 7^{2}\cdot 163^{2}$ |
$3$ |
$11.6238877331$ |
$67.55738301621814$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$19.7518522215$ |
| 8.4.333975625.1 |
$x^{8} - x^{7} - 3 x^{6} + 8 x^{5} - 3 x^{4} - 8 x^{3} + 14 x^{2} - 8 x + 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 17^{2}\cdot 43^{2}$ |
$3$ |
$11.6269109546$ |
$60.45659600076736$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$5$ |
$17.3027936715$ |
| 8.0.345067776.3 |
$x^{8} - 2 x^{7} - x^{6} - 2 x^{5} - 2 x^{4} + 14 x^{3} + 20 x^{2} + 8 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 43^{2}$ |
$3$ |
$11.6744935778$ |
$50.277961519459396$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$25.8114586843$ |
| 8.0.348046336.1 |
$x^{8} - 2 x^{7} + x^{6} - 6 x^{5} + 4 x^{4} + 2 x^{3} + 10 x^{2} + 4 x + 2$ |
$8$ |
[0,4] |
$2^{10}\cdot 11^{2}\cdot 53^{2}$ |
$3$ |
$11.6870427667$ |
$60.842577634333026$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$59.1351066132$ |
| 8.0.349428249.1 |
$x^{8} - 2 x^{7} + 9 x^{6} - 11 x^{5} + 24 x^{4} - 23 x^{3} + 23 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$3^{4}\cdot 31^{2}\cdot 67^{2}$ |
$3$ |
$11.6928331204$ |
$78.93668348746354$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$30.0556641117$ |
| 8.0.353440000.1 |
$x^{8} + 7 x^{6} - 2 x^{5} + 13 x^{4} - 12 x^{3} + 3 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{4}\cdot 47^{2}$ |
$3$ |
$11.7095299653$ |
$51.56279179080026$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$7.07096098089$ |
| 8.0.355850496.1 |
$x^{8} - 2 x^{7} + 8 x^{6} - 6 x^{5} + 15 x^{4} - 10 x^{3} + 10 x^{2} - 6 x + 3$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 131^{2}$ |
$3$ |
$11.7194828259$ |
$44.503886239684064$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$41.926004712$ |
| 8.0.359936784.1 |
$x^{8} - x^{7} - 5 x^{6} + 6 x^{5} + 4 x^{4} - 8 x^{3} + 12 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 17^{2}\cdot 31^{2}$ |
$4$ |
$11.7362210016$ |
$63.117908391894524$ |
|
|
|
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$37.7029786446$ |
| 8.0.363741184.2 |
$x^{8} - 2 x^{7} + 8 x^{5} - 9 x^{4} - 2 x^{3} + 12 x^{2} - 8 x + 2$ |
$8$ |
[0,4] |
$2^{14}\cdot 149^{2}$ |
$2$ |
$11.7516557137$ |
$58.06449115162776$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$60.3876624521$ |
| 8.0.377913600.1 |
$x^{8} - 4 x^{7} + x^{6} + 10 x^{5} + 2 x^{4} - 26 x^{3} + 10 x^{2} + 8 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{10}\cdot 5^{2}$ |
$3$ |
$11.8079380276$ |
$39.081333745957835$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$49.3440280884$ |
| 8.0.389193984.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 6 x^{5} + 4 x^{4} - 8 x^{3} + 6 x + 7$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 137^{2}$ |
$3$ |
$11.8514302482$ |
$57.3410847473258$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$26.1663544332$ |
| 8.0.391683681.1 |
$x^{8} - x^{7} - 5 x^{6} + 5 x^{5} - 2 x^{4} - 4 x^{3} + 31 x^{2} - 10 x + 1$ |
$8$ |
[0,4] |
$3^{6}\cdot 733^{2}$ |
$2$ |
$11.8608806188$ |
$61.715311923735435$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$36.5148794141$ |
| 8.0.407514969.1 |
$x^{8} - 3 x^{7} + 7 x^{6} - 16 x^{5} + 25 x^{4} - 32 x^{3} + 34 x^{2} - 24 x + 9$ |
$8$ |
[0,4] |
$3^{4}\cdot 2243^{2}$ |
$2$ |
$11.9197719288$ |
$82.03048213926333$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$6$ |
$3$ |
$19.0793178043$ |
| 8.0.416813056.1 |
$x^{8} - 2 x^{7} - 4 x^{6} + 6 x^{5} + 4 x^{4} + 2 x^{2} - 4 x + 2$ |
$8$ |
[0,4] |
$2^{12}\cdot 11^{2}\cdot 29^{2}$ |
$3$ |
$11.9534333476$ |
$53.52124015085525$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$38.9773832882$ |
| 8.0.424030464.2 |
$x^{8} - 2 x^{7} + 14 x^{4} - 40 x^{3} + 52 x^{2} - 36 x + 12$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 11^{2}\cdot 13^{2}$ |
$4$ |
$11.9791121924$ |
$46.49757543807636$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$6$ |
$3$ |
$18.8908696814$ |
| 8.0.433347489.1 |
$x^{8} - 3 x^{7} + 6 x^{6} - 13 x^{5} + 27 x^{4} - 45 x^{3} + 58 x^{2} - 51 x + 21$ |
$8$ |
[0,4] |
$3^{8}\cdot 257^{2}$ |
$2$ |
$12.0117016229$ |
$57.75745195315523$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$6$ |
$3$ |
$26.1752814701$ |
| 8.0.434847609.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 8 x^{5} + 6 x^{4} - 5 x^{3} + 8 x^{2} + 3 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{2}\cdot 331^{2}$ |
$3$ |
$12.016891385$ |
$83.37265738837884$ |
|
|
✓ |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$6$ |
$3$ |
$33.3894458106$ |
| 8.0.457617664.2 |
$x^{8} - 2 x^{7} - 2 x^{6} + 8 x^{5} + 3 x^{4} - 24 x^{3} + 30 x^{2} - 10 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 7^{2}\cdot 191^{2}$ |
$3$ |
$12.0938018171$ |
$73.13002119512889$ |
|
|
|
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$34.6423879531$ |
| 8.0.461046784.1 |
$x^{8} - 2 x^{7} - 2 x^{5} + 10 x^{4} - 4 x^{3} + 2 x^{2} - 8 x + 8$ |
$8$ |
[0,4] |
$2^{10}\cdot 11^{2}\cdot 61^{2}$ |
$3$ |
$12.1050928403$ |
$65.27315239424742$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$4$ |
$3$ |
$70.5033896631$ |
| 8.0.471975625.2 |
$x^{8} + x^{6} - 6 x^{5} - 2 x^{4} + 2 x^{3} + 11 x^{2} + 8 x + 4$ |
$8$ |
[0,4] |
$5^{4}\cdot 11^{2}\cdot 79^{2}$ |
$3$ |
$12.1405942906$ |
$65.91661399070799$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$3$ |
$11.9738195098$ |
