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Label Polynomial Discriminant Galois group Class group Regulator
8.0.32684089.1 $x^{8} - 4 x^{7} + 8 x^{6} - 9 x^{5} + 7 x^{4} - 4 x^{3} + 2 x^{2} + 1$ $5717^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $4.66178135647$
8.0.36445369.1 $x^{8} - 2 x^{7} + 3 x^{4} - 2 x^{3} - x + 2$ $6037^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $4.35538852315$
8.0.141324544.1 $x^{8} - 2 x^{7} + 6 x^{5} - 8 x^{4} + 2 x^{3} + 8 x^{2} - 10 x + 7$ $2^{8}\cdot 743^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $8.66851025275$
8.0.277955584.1 $x^{8} + 2 x^{6} - 2 x^{5} + 4 x^{4} - 2 x^{3} + 4 x^{2} - 4 x + 2$ $2^{10}\cdot 521^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $19.3521785378$
8.4.293471161.1 $x^{8} - x^{6} - 6 x^{5} - 6 x^{4} + 3 x^{3} + 9 x^{2} + 7 x + 2$ $37^{2}\cdot 463^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $25.0447497668$
8.4.351075169.1 $x^{8} - x^{7} + 4 x^{5} - 6 x^{4} + 2 x^{3} + 6 x^{2} - 7 x + 2$ $41^{2}\cdot 457^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $28.5295638417$
8.0.411602944.1 $x^{8} - 2 x^{6} - 2 x^{5} + 2 x^{4} + 4 x^{2} + 2$ $2^{12}\cdot 317^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $24.6814524533$
8.0.447407104.1 $x^{8} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} + 1$ $2^{10}\cdot 661^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $20.5796181117$
8.0.600838144.1 $x^{8} - 2 x^{7} + x^{6} - 2 x^{5} - x^{4} + 2 x^{3} + 2 x^{2} + 4 x + 3$ $2^{12}\cdot 383^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $26.7191111935$
8.0.600838144.2 $x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} + 2 x^{4} - 4 x^{3} + 4$ $2^{12}\cdot 383^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $16.7425353761$
8.0.608559561.1 $x^{8} - 3 x^{7} + 3 x^{6} + x^{5} - 5 x^{4} + 3 x^{3} + 4 x^{2} - 7 x + 4$ $3^{4}\cdot 2741^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $9.75289547432$
8.0.645160000.1 $x^{8} - 3 x^{7} + 4 x^{6} - 2 x^{5} + 4 x^{3} - 4 x^{2} + 4$ $2^{6}\cdot 5^{4}\cdot 127^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $24.2196664789$
8.0.670188544.1 $x^{8} - 3 x^{7} + 7 x^{6} - 8 x^{5} + 14 x^{4} - 12 x^{3} + 10 x^{2} - 6 x + 2$ $2^{10}\cdot 809^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $35.5414717216$
8.0.803835904.1 $x^{8} - 4 x^{6} - 6 x^{5} + 10 x^{4} + 8 x^{3} - 4 x^{2} + 2$ $2^{12}\cdot 443^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $31.6226101307$
8.0.855445504.1 $x^{8} - 4 x^{7} + 10 x^{6} - 14 x^{5} + 16 x^{4} - 12 x^{3} + 8 x^{2} - 4 x + 2$ $2^{12}\cdot 457^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $30.6378067058$
8.0.886133824.1 $x^{8} - 2 x^{7} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 8 x + 7$ $2^{6}\cdot 61^{4}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $59.7220674973$
8.0.987467776.3 $x^{8} - 2 x^{7} + 4 x^{6} - 2 x^{5} + 6 x^{4} - 10 x^{3} + 8 x^{2} - 2 x + 1$ $2^{12}\cdot 491^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $19.2642824169$
8.0.1091113024.1 $x^{8} - 2 x^{7} + 5 x^{6} - 4 x^{5} + 8 x^{4} - 10 x^{3} + 10 x^{2} - 6 x + 2$ $2^{6}\cdot 4129^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $43.1970353216$
8.0.1271350336.1 $x^{8} - 2 x^{7} + 5 x^{6} - 6 x^{5} + 11 x^{4} - 6 x^{3} + 10 x^{2} - 6 x + 1$ $2^{6}\cdot 4457^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $73.28924509930212$
8.0.1271350336.2 $x^{8} - x^{7} + x^{5} + 5 x^{4} + 8 x^{3} + 9 x^{2} + 5 x + 3$ $2^{6}\cdot 4457^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $26.9069130029748$
8.0.1475789056.1 $x^{8} - 3 x^{7} + 14 x^{4} - 7 x^{3} + 2 x + 1$ $2^{8}\cdot 7^{8}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $52.8415257816$
8.0.1651609600.1 $x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - 8 x^{4} + 10 x^{3} - 2 x^{2} - 10 x + 15$ $2^{12}\cdot 5^{2}\cdot 127^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $53.5466202698$
8.4.1746571264.1 $x^{8} - 2 x^{7} - x^{6} + 2 x^{5} - 8 x^{4} + 28 x^{3} - 13 x^{2} - 24 x + 16$ $2^{12}\cdot 653^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $85.5992706429$
8.0.1746571264.3 $x^{8} - 2 x^{7} + 2 x^{6} - 2 x^{5} + 7 x^{4} + 4 x^{3} - 8 x + 4$ $2^{12}\cdot 653^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $85.9138561285$
8.0.1955762176.2 $x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} + 6 x^{4} - 4 x^{3} + 8 x^{2} - 8 x + 12$ $2^{12}\cdot 691^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $42.4236949012$
8.0.1955762176.4 $x^{8} - 2 x^{7} + 3 x^{6} + 2 x^{5} - 7 x^{4} + 10 x^{3} - 8 x + 7$ $2^{12}\cdot 691^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $65.4380353065$
8.4.1970649664.1 $x^{8} - 3 x^{7} + 2 x^{6} - 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x - 4$ $2^{6}\cdot 31^{2}\cdot 179^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $119.59294816196319$
8.0.2264998464.1 $x^{8} - x^{7} + x^{6} - 5 x^{5} + x^{4} - 3 x^{3} + 7 x^{2} + 3 x + 6$ $2^{6}\cdot 3^{4}\cdot 661^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $49.9262815604$
8.0.2403352576.1 $x^{8} - 2 x^{7} + 4 x^{4} - 4 x^{2} - 4 x + 6$ $2^{14}\cdot 383^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $25.6513977425$
8.4.2601816064.2 $x^{8} - 2 x^{7} + 6 x^{5} - 2 x^{4} + 6 x^{3} - 4 x^{2} - 2 x + 1$ $2^{12}\cdot 797^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $110.6151990144815$
8.0.2665966689.1 $x^{8} - 3 x^{7} + 8 x^{6} - 13 x^{5} + 8 x^{4} - 4 x^{3} - 7 x^{2} + 13 x + 7$ $3^{4}\cdot 5737^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $30.7708192485$
8.4.2665966689.1 $x^{8} - 3 x^{6} - 11 x^{5} + 11 x^{4} - 9 x^{3} + 7 x^{2} + 7 x + 1$ $3^{4}\cdot 5737^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $120.862360813$
8.0.2680754176.1 $x^{8} - 2 x^{7} + 2 x^{6} + 4 x^{5} - 5 x^{4} - 2 x^{3} + 16 x^{2} - 16 x + 8$ $2^{12}\cdot 809^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $58.25606641303309$
8.0.3949871104.4 $x^{8} - 2 x^{7} + 5 x^{6} - 4 x^{5} + 4 x^{4} + 4 x^{3} + 10 x^{2} + 4 x + 2$ $2^{14}\cdot 491^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $151.124343509$
8.0.4544917056.1 $x^{8} - 2 x^{6} - 4 x^{5} + 12 x^{4} + 24 x^{3} + 42 x^{2} + 36 x + 35$ $2^{6}\cdot 3^{2}\cdot 53^{4}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $217.153790443$
8.0.4980971776.1 $x^{8} - 2 x^{7} + 3 x^{6} - 8 x^{5} + 12 x^{4} - 16 x^{3} + 20 x^{2} - 14 x + 5$ $2^{8}\cdot 11^{2}\cdot 401^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $24.3914266549$
8.4.5903156224.1 $x^{8} - x^{7} + 7 x^{5} - 21 x^{3} - 14 x^{2} + 9 x + 5$ $2^{10}\cdot 7^{8}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $189.817605265$
8.0.6585647104.1 $x^{8} - 4 x^{5} - 8 x^{4} + 4 x^{3} + 12 x^{2} + 4 x + 2$ $2^{16}\cdot 317^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $105.615024891$
8.0.6986285056.1 $x^{8} - 2 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 20 x^{2} + 16 x + 6$ $2^{14}\cdot 653^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $41.2273874592$
8.0.7696201984.1 $x^{8} - 2 x^{7} + 6 x^{6} - 10 x^{5} + 24 x^{4} - 32 x^{3} + 57 x^{2} - 58 x + 54$ $2^{8}\cdot 5483^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $118.087633018$
8.4.7696201984.1 $x^{8} - 4 x^{7} + x^{6} + 8 x^{5} - 3 x^{4} - 6 x^{3} - x^{2} + 4 x + 1$ $2^{8}\cdot 5483^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $123.300644995$
8.0.7823048704.3 $x^{8} - 2 x^{7} - 4 x^{6} + 8 x^{5} + 8 x^{4} - 16 x^{3} + 20 x^{2} - 44 x + 30$ $2^{14}\cdot 691^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $61.4767365673$
8.0.9044770816.1 $x^{8} + 2 x^{6} - 4 x^{5} + 20 x^{4} - 8 x^{3} + 2 x^{2} + 16 x + 16$ $2^{14}\cdot 743^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $236.058335779$
8.0.9450950656.8 $x^{8} - 2 x^{5} + 2 x^{4} + 8 x^{3} + 12 x^{2} - 4 x + 6$ $2^{12}\cdot 7^{4}\cdot 31^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $131.963352093$
8.0.10322560000.1 $x^{8} - 2 x^{7} - 4 x^{6} + 14 x^{5} - 2 x^{4} - 22 x^{3} + 24 x^{2} - 6 x + 1$ $2^{10}\cdot 5^{4}\cdot 127^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $44.8586218014$
8.0.10437278569.1 $x^{8} - 4 x^{7} + 11 x^{6} - 17 x^{5} + 17 x^{4} - 8 x^{3} + 5 x^{2} - 10 x + 9$ $19^{4}\cdot 283^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) $[2]$ $54.260850192$
8.0.10723016704.2 $x^{8} - 2 x^{7} + 7 x^{6} - 12 x^{5} + 23 x^{4} - 26 x^{3} + 25 x^{2} - 12 x + 2$ $2^{14}\cdot 809^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $252.95288051016774$
8.0.10723016704.3 $x^{8} - 2 x^{7} + x^{6} + 4 x^{5} + 4 x^{4} - 28 x^{3} + 32 x^{2} - 12 x + 2$ $2^{14}\cdot 809^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $249.8040079356163$
8.0.12861374464.1 $x^{8} - 4 x^{6} - 4 x^{5} - 4 x^{4} + 8 x^{3} + 40 x^{2} + 40 x + 12$ $2^{16}\cdot 443^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $122.926631324$
8.0.13687128064.4 $x^{8} - 4 x^{5} - 2 x^{4} - 4 x^{3} + 8 x^{2} + 12 x + 7$ $2^{16}\cdot 457^{2}$ $C_2^3:\GL(3,2)$ (as 8T48) trivial $179.561418902$
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