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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 8.0.3211264.1 | x8 - 4x7 + 8x6 - 8x5 + 7x4 - 8x3 + 8x2 - 4x + 1 | \( 2^{16}\cdot 7^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.3504384.2 | x8 + 2x4 - 3x2 + 1 | \( 2^{8}\cdot 3^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.5992704.1 | x8 - x6 - 4x5 + 2x3 + 3x2 + 2x + 1 | \( 2^{8}\cdot 3^{4}\cdot 17^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.6125625.1 | x8 - x7 + x6 - 4x5 + 3x4 - 2x3 + 4x2 - 2x + 1 | \( 3^{4}\cdot 5^{4}\cdot 11^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.6553600.1 | x8 - 4x7 + 6x6 - 8x4 + 4x3 + 8x2 - 8x + 2 | \( 2^{18}\cdot 5^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.8294400.2 | x8 - 2x7 - 4x5 + 11x4 - 4x3 - 2x + 1 | \( 2^{12}\cdot 3^{4}\cdot 5^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.8555625.1 | x8 - x7 - 4x6 + 3x5 + 11x4 + 3x3 - 4x2 - x + 1 | \( 3^{4}\cdot 5^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.9144576.3 | x8 - 5x6 + 9x4 - 5x2 + 1 | \( 2^{8}\cdot 3^{6}\cdot 7^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.9834496.1 | x8 + x6 + 4x4 + x2 + 1 | \( 2^{12}\cdot 7^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.10969344.1 | x8 - 4x7 + 11x6 - 18x5 + 23x4 - 18x3 + 14x2 - 4x + 4 | \( 2^{8}\cdot 3^{4}\cdot 23^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.12446784.1 | x8 - x7 + x6 - 2x5 + 2x3 + x2 + x + 1 | \( 2^{6}\cdot 3^{4}\cdot 7^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.12960000.2 | x8 - x6 + 2x4 + x2 + 1 | \( 2^{8}\cdot 3^{4}\cdot 5^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.16257024.1 | x8 - 2x7 + 3x6 + 2x5 - 4x4 + 2x3 + 3x2 - 2x + 1 | \( 2^{12}\cdot 3^{4}\cdot 7^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.16257024.2 | x8 - 2x7 + 2x6 - 6x5 - x4 + 6x3 + 8x2 + 4x + 1 | \( 2^{12}\cdot 3^{4}\cdot 7^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.18275625.1 | x8 - 2x7 + 2x6 - 2x5 + 3x4 - 6x3 + 3x2 + x + 1 | \( 3^{4}\cdot 5^{4}\cdot 19^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.18939904.2 | x8 - 4x7 + 14x6 - 28x5 + 43x4 - 44x3 + 30x2 - 12x + 2 | \( 2^{16}\cdot 17^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.18939904.3 | x8 - 4x7 + 2x6 + 8x5 - 7x4 - 4x3 + 8x2 - 4x + 1 | \( 2^{16}\cdot 17^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.18939904.4 | x8 - 4x6 + 7x4 - 4x2 + 1 | \( 2^{16}\cdot 17^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.19360000.2 | x8 + x6 + 2x4 + 4x2 + 1 | \( 2^{8}\cdot 5^{4}\cdot 11^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.21233664.1 | x8 - 6x6 + 14x4 - 12x2 + 4 | \( 2^{18}\cdot 3^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.21233664.2 | x8 - 2x6 + 2x4 - 4x2 + 4 | \( 2^{18}\cdot 3^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.22325625.1 | x8 - x7 + 8x6 - x5 + 13x4 + x3 + 8x2 + x + 1 | \( 3^{6}\cdot 5^{4}\cdot 7^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.22581504.2 | x8 - 4x7 + 5x6 + 2x5 - 11x4 + 4x3 + 20x2 - 32x + 16 | \( 2^{8}\cdot 3^{6}\cdot 11^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.27040000.2 | x8 - 2x7 + 3x6 + 2x5 - 4x3 + 7x2 - 4x + 1 | \( 2^{8}\cdot 5^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.28387584.2 | x8 - 4x6 + 10x4 - 15x2 + 9 | \( 2^{8}\cdot 3^{4}\cdot 37^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.29160000.1 | x8 - 5x6 + 12x4 - 5x2 + 1 | \( 2^{6}\cdot 3^{6}\cdot 5^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.29648025.1 | x8 - x7 - 3x5 + x4 + 3x3 + x + 1 | \( 3^{4}\cdot 5^{2}\cdot 11^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.31539456.4 | x8 - 2x7 + x6 - 2x5 + 7x4 - 14x3 + 10x2 + 4x + 4 | \( 2^{8}\cdot 3^{6}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.32867289.1 | x8 - x7 + 5x6 - 3x5 + 11x4 + 6x3 + 20x2 + 8x + 16 | \( 3^{4}\cdot 7^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.34668544.1 | x8 - 4x5 + 3x4 + 4x3 + 8x2 - 4x + 1 | \( 2^{16}\cdot 23^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.34857216.1 | x8 - 3x6 - 4x5 + 7x4 + 6x3 - 2x2 + 4x + 4 | \( 2^{8}\cdot 3^{4}\cdot 41^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.37748736.1 | x8 - 2x4 + 9 | \( 2^{22}\cdot 3^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.39337984.3 | x8 - 4x6 + x4 + 6x2 + 4 | \( 2^{14}\cdot 7^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.40144896.1 | x8 - 2x7 + 3x6 - 2x5 - x4 + 8x3 - 2x2 + 4 | \( 2^{12}\cdot 3^{4}\cdot 11^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.40144896.2 | x8 - 2x7 + 8x6 - 16x5 + 31x4 - 36x3 + 36x2 - 18x + 9 | \( 2^{12}\cdot 3^{4}\cdot 11^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.4.40960000.1 | x8 - 4x6 + 7x4 - 6x2 + 1 | \( 2^{16}\cdot 5^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.40960000.3 | x8 + 4x6 + 7x4 + 6x2 + 1 | \( 2^{16}\cdot 5^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.42575625.1 | x8 - x7 + 4x6 + x5 + 9x4 - x3 + 4x2 + x + 1 | \( 3^{4}\cdot 5^{4}\cdot 29^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.44302336.1 | x8 + 2x6 - 12x5 + 20x4 - 12x3 + 2x2 + 1 | \( 2^{18}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.45805824.1 | x8 - 2x7 + 3x6 - 2x5 + 4x4 - 12x3 + 3x2 + 9 | \( 2^{8}\cdot 3^{4}\cdot 47^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.46240000.1 | x8 + 3x6 - 8x5 + 8x4 - 2x3 - x2 + 2x + 1 | \( 2^{8}\cdot 5^{4}\cdot 17^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.47775744.3 | x8 + 2x6 + 3x4 - 4x2 + 1 | \( 2^{16}\cdot 3^{6} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.47775744.4 | x8 - 2x6 + 3x4 + 4x2 + 1 | \( 2^{16}\cdot 3^{6} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.48650625.1 | x8 - x7 + x6 + 6x5 - 2x4 - 2x3 + 9x2 + 3x + 1 | \( 3^{4}\cdot 5^{4}\cdot 31^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.49787136.3 | x8 - 3x6 + 2x4 + 3x2 + 1 | \( 2^{8}\cdot 3^{4}\cdot 7^{4} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.56070144.2 | x8 - 4x7 + 16x6 - 34x5 + 63x4 - 74x3 + 70x2 - 38x + 13 | \( 2^{12}\cdot 3^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.56070144.3 | x8 + 8x4 - 24x2 + 16 | \( 2^{12}\cdot 3^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.56070144.4 | x8 + 8x4 + 24x2 + 16 | \( 2^{12}\cdot 3^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.56070144.5 | x8 - 2x7 + 4x6 + 4x5 - 9x4 + 20x3 + 4x2 - 10x + 25 | \( 2^{12}\cdot 3^{4}\cdot 13^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
| 8.0.57760000.2 | x8 - 2x4 + 5x2 + 1 | \( 2^{8}\cdot 5^{4}\cdot 19^{2} \) | $D_4\times C_2$ (as 8T9) | Trivial |
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