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Label Polynomial Discriminant Galois group Class group
8.0.32684089.1 x8 - 4x7 + 8x6 - 9x5 + 7x4 - 4x3 + 2x2 + 1 \( 5717^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.36445369.1 x8 - 2x7 + 3x4 - 2x3 - x + 2 \( 6037^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.141324544.1 x8 - 2x7 + 6x5 - 8x4 + 2x3 + 8x2 - 10x + 7 \( 2^{8}\cdot 743^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.277955584.1 x8 + 2x6 - 2x5 + 4x4 - 2x3 + 4x2 - 4x + 2 \( 2^{10}\cdot 521^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.4.293471161.1 x8 - x6 - 6x5 - 6x4 + 3x3 + 9x2 + 7x + 2 \( 37^{2}\cdot 463^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.4.351075169.1 x8 - x7 + 4x5 - 6x4 + 2x3 + 6x2 - 7x + 2 \( 41^{2}\cdot 457^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.411602944.1 x8 - 2x6 - 2x5 + 2x4 + 4x2 + 2 \( 2^{12}\cdot 317^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.447407104.1 x8 - 2x5 + 2x4 - 2x3 + 2x2 + 1 \( 2^{10}\cdot 661^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.600838144.1 x8 - 2x7 + x6 - 2x5 - x4 + 2x3 + 2x2 + 4x + 3 \( 2^{12}\cdot 383^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.600838144.2 x8 - 2x7 + 4x6 - 4x5 + 2x4 - 4x3 + 4 \( 2^{12}\cdot 383^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.608559561.1 x8 - 3x7 + 3x6 + x5 - 5x4 + 3x3 + 4x2 - 7x + 4 \( 3^{4}\cdot 2741^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.645160000.1 x8 - 3x7 + 4x6 - 2x5 + 4x3 - 4x2 + 4 \( 2^{6}\cdot 5^{4}\cdot 127^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.670188544.1 x8 - 3x7 + 7x6 - 8x5 + 14x4 - 12x3 + 10x2 - 6x + 2 \( 2^{10}\cdot 809^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.803835904.1 x8 - 4x6 - 6x5 + 10x4 + 8x3 - 4x2 + 2 \( 2^{12}\cdot 443^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.855445504.1 x8 - 4x7 + 10x6 - 14x5 + 16x4 - 12x3 + 8x2 - 4x + 2 \( 2^{12}\cdot 457^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.886133824.1 x8 - 2x7 + 2x6 + 4x3 + 4x2 + 8x + 7 \( 2^{6}\cdot 61^{4} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.987467776.3 x8 - 2x7 + 4x6 - 2x5 + 6x4 - 10x3 + 8x2 - 2x + 1 \( 2^{12}\cdot 491^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.1091113024.1 x8 - 2x7 + 5x6 - 4x5 + 8x4 - 10x3 + 10x2 - 6x + 2 \( 2^{6}\cdot 4129^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1271350336.1 x8 - 2x7 + 5x6 - 6x5 + 11x4 - 6x3 + 10x2 - 6x + 1 \( 2^{6}\cdot 4457^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1271350336.2 x8 - x7 + x5 + 5x4 + 8x3 + 9x2 + 5x + 3 \( 2^{6}\cdot 4457^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1475789056.1 x8 - 3x7 + 14x4 - 7x3 + 2x + 1 \( 2^{8}\cdot 7^{8} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1651609600.1 x8 - 2x7 + 2x6 + 2x5 - 8x4 + 10x3 - 2x2 - 10x + 15 \( 2^{12}\cdot 5^{2}\cdot 127^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.4.1746571264.1 x8 - 2x7 - x6 + 2x5 - 8x4 + 28x3 - 13x2 - 24x + 16 \( 2^{12}\cdot 653^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1746571264.3 x8 - 2x7 + 2x6 - 2x5 + 7x4 + 4x3 - 8x + 4 \( 2^{12}\cdot 653^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1955762176.2 x8 - 2x7 + 4x6 - 4x5 + 6x4 - 4x3 + 8x2 - 8x + 12 \( 2^{12}\cdot 691^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.1955762176.4 x8 - 2x7 + 3x6 + 2x5 - 7x4 + 10x3 - 8x + 7 \( 2^{12}\cdot 691^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.4.1970649664.1 x8 - 3x7 + 2x6 - 4x5 + 4x4 + 4x3 + 4x - 4 \( 2^{6}\cdot 31^{2}\cdot 179^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.2264998464.1 x8 - x7 + x6 - 5x5 + x4 - 3x3 + 7x2 + 3x + 6 \( 2^{6}\cdot 3^{4}\cdot 661^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.2403352576.1 x8 - 2x7 + 4x4 - 4x2 - 4x + 6 \( 2^{14}\cdot 383^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.4.2601816064.2 x8 - 2x7 + 6x5 - 2x4 + 6x3 - 4x2 - 2x + 1 \( 2^{12}\cdot 797^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.4.2665966689.1 x8 - 3x6 - 11x5 + 11x4 - 9x3 + 7x2 + 7x + 1 \( 3^{4}\cdot 5737^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.2665966689.1 x8 - 3x7 + 8x6 - 13x5 + 8x4 - 4x3 - 7x2 + 13x + 7 \( 3^{4}\cdot 5737^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.2680754176.1 x8 - 2x7 + 2x6 + 4x5 - 5x4 - 2x3 + 16x2 - 16x + 8 \( 2^{12}\cdot 809^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.3949871104.4 x8 - 2x7 + 5x6 - 4x5 + 4x4 + 4x3 + 10x2 + 4x + 2 \( 2^{14}\cdot 491^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.4544917056.1 x8 - 2x6 - 4x5 + 12x4 + 24x3 + 42x2 + 36x + 35 \( 2^{6}\cdot 3^{2}\cdot 53^{4} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.4980971776.1 x8 - 2x7 + 3x6 - 8x5 + 12x4 - 16x3 + 20x2 - 14x + 5 \( 2^{8}\cdot 11^{2}\cdot 401^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.4.5903156224.1 x8 - x7 + 7x5 - 21x3 - 14x2 + 9x + 5 \( 2^{10}\cdot 7^{8} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.6585647104.1 x8 - 4x5 - 8x4 + 4x3 + 12x2 + 4x + 2 \( 2^{16}\cdot 317^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.6986285056.1 x8 - 2x7 + 4x6 + 4x5 + 4x4 + 20x2 + 16x + 6 \( 2^{14}\cdot 653^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.4.7696201984.1 x8 - 4x7 + x6 + 8x5 - 3x4 - 6x3 - x2 + 4x + 1 \( 2^{8}\cdot 5483^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.7696201984.1 x8 - 2x7 + 6x6 - 10x5 + 24x4 - 32x3 + 57x2 - 58x + 54 \( 2^{8}\cdot 5483^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.7823048704.3 x8 - 2x7 - 4x6 + 8x5 + 8x4 - 16x3 + 20x2 - 44x + 30 \( 2^{14}\cdot 691^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.9044770816.1 x8 + 2x6 - 4x5 + 20x4 - 8x3 + 2x2 + 16x + 16 \( 2^{14}\cdot 743^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.9450950656.8 x8 - 2x5 + 2x4 + 8x3 + 12x2 - 4x + 6 \( 2^{12}\cdot 7^{4}\cdot 31^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.10322560000.1 x8 - 2x7 - 4x6 + 14x5 - 2x4 - 22x3 + 24x2 - 6x + 1 \( 2^{10}\cdot 5^{4}\cdot 127^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.10437278569.1 x8 - 4x7 + 11x6 - 17x5 + 17x4 - 8x3 + 5x2 - 10x + 9 \( 19^{4}\cdot 283^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) $[2]$
8.0.10723016704.2 x8 - 2x7 + 7x6 - 12x5 + 23x4 - 26x3 + 25x2 - 12x + 2 \( 2^{14}\cdot 809^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.10723016704.3 x8 - 2x7 + x6 + 4x5 + 4x4 - 28x3 + 32x2 - 12x + 2 \( 2^{14}\cdot 809^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.12861374464.1 x8 - 4x6 - 4x5 - 4x4 + 8x3 + 40x2 + 40x + 12 \( 2^{16}\cdot 443^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
8.0.13687128064.4 x8 - 4x5 - 2x4 - 4x3 + 8x2 + 12x + 7 \( 2^{16}\cdot 457^{2} \) $C_2^3:\GL(3,2)$ (as 8T48) Trivial
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